Datasets:
Gen-Verse
/
CodeContests_train

Dataset card Data Studio Files Community
2
dataset
stringclasses
1 value
question
stringlengths
29
13k
exe_method
stringclasses
1 value
solutions
null
task_id
int64
0
5.07k
test_time_limit
int64
1
1
example_input
listlengths
0
5
example_output
listlengths
0
5
test_input
listlengths
1
10
test_output
listlengths
1
10
CodeContests
You have a sequence A composed of N positive integers: A_{1}, A_{2}, \cdots, A_{N}. You will now successively do the following Q operations: * In the i-th operation, you replace every element whose value is B_{i} with C_{i}. For each i (1 \leq i \leq Q), find S_{i}: the sum of all elements in A just after the i-th operation. Constraints * All values in input are integers. * 1 \leq N, Q, A_{i}, B_{i}, C_{i} \leq 10^{5} * B_{i} \neq C_{i} Input Input is given from Standard Input in the following format: N A_{1} A_{2} \cdots A_{N} Q B_{1} C_{1} B_{2} C_{2} \vdots B_{Q} C_{Q} Output Print Q integers S_{i} to Standard Output in the following format: S_{1} S_{2} \vdots S_{Q} Note that S_{i} may not fit into a 32-bit integer. Examples Input 4 1 2 3 4 3 1 2 3 4 2 4 Output 11 12 16 Input 4 1 1 1 1 3 1 2 2 1 3 5 Output 8 4 4 Input 2 1 2 3 1 100 2 100 100 1000 Output 102 200 2000
stdin
null
251
1
[ "2\n1 2\n3\n1 100\n2 100\n100 1000\n", "4\n1 2 3 4\n3\n1 2\n3 4\n2 4\n", "4\n1 1 1 1\n3\n1 2\n2 1\n3 5\n" ]
[ "102\n200\n2000\n", "11\n12\n16\n", "8\n4\n4\n" ]
[ "4\n1 2 3 3\n3\n1 2\n3 4\n2 4\n", "4\n2 1 1 1\n3\n1 2\n2 1\n3 5\n", "4\n1 2 3 3\n3\n1 2\n3 4\n0 4\n", "4\n0 1 1 1\n3\n1 2\n2 1\n3 5\n", "4\n1 3 3 3\n3\n1 2\n3 4\n0 4\n", "4\n1 3 4 3\n3\n1 2\n3 4\n0 4\n", "4\n0 1 1 1\n3\n1 4\n2 1\n5 10\n", "4\n0 2 4 3\n3\n1 2\n3 4\n0 4\n", "4\n0 1 1 1\n3\n1 0\n2 1\n5 10\n", "4\n0 2 1 1\n3\n1 0\n2 1\n5 10\n" ]
[ "10\n12\n16\n", "8\n4\n4\n", "10\n12\n12\n", "6\n3\n3\n", "11\n14\n14\n", "12\n14\n14\n", "12\n12\n12\n", "9\n10\n14\n", "0\n0\n0\n", "2\n1\n1\n" ]
CodeContests
Example Input 4 5 8 58 85 Output 2970.000000000
stdin
null
3,650
1
[ "4\n5\n8\n58\n85\n" ]
[ "2970.000000000\n" ]
[ "4\n5\n8\n58\n152\n", "4\n5\n8\n55\n152\n", "4\n5\n20\n55\n152\n", "4\n5\n15\n58\n85\n", "4\n5\n8\n58\n171\n", "4\n5\n9\n55\n152\n", "4\n2\n11\n55\n152\n", "4\n5\n17\n55\n152\n", "4\n5\n15\n58\n7\n", "4\n5\n10\n58\n171\n" ]
[ "5181.000000000000000\n", "4945.500000000000000\n", "5887.500000000000000\n", "3285.000000000000000\n", "5808.000000000000000\n", "5024.000000000000000\n", "5082.000000000000000\n", "5652.000000000000000\n", "693.000000000000000\n", "5984.000000000000000\n" ]
CodeContests
There is a cube which consists of n × n × n small cubes. Small cubes have marks on their surfaces. An example where n = 4 is shown in the following figure. <image> Then, as shown in the figure above (right), make a hole that penetrates horizontally or vertically from the marked surface to the opposite surface. Your job is to create a program that reads the positions marked n and counts the number of small cubes with no holes. Input The input consists of several datasets. Each dataset is given in the following format: n h c1 a1 b1 c2 a2 b2 .. .. .. ch ah bh h is an integer indicating the number of marks. The h lines that follow enter the positions of the h marks. The coordinate axes shown in the figure below will be used to specify the position of the mark. (x, y, z) = (1, 1, 1) is the lower left cube, and (x, y, z) = (n, n, n) is the upper right cube. <image> ci is a string indicating the plane marked with the i-th. ci is one of "xy", "xz", and "yz", indicating that the i-th mark is on the xy, xz, and yz planes, respectively. ai and bi indicate the coordinates on the plane indicated by ci. For the xy, xz, and yz planes, ai and bi indicate the plane coordinates (x, y), (x, z), and (y, z), respectively. For example, in the above figure, the values ​​of ci, ai, and bi of marks A, B, and C are "xy 4 4", "xz 1 2", and "yz 2 3", respectively. When both n and h are 0, it indicates the end of input. You can assume that n ≤ 500 and h ≤ 200. Output For each dataset, print the number of non-perforated cubes on one line. Example Input 4 3 xy 4 4 xz 1 2 yz 2 3 4 5 xy 1 1 xy 3 3 xz 3 3 yz 2 1 yz 3 3 0 0 Output 52 46
stdin
null
1,021
1
[ "4 3\nxy 4 4\nxz 1 2\nyz 2 3\n4 5\nxy 1 1\nxy 3 3\nxz 3 3\nyz 2 1\nyz 3 3\n0 0\n" ]
[ "52\n46\n" ]
[ "4 3\nxy 4 4\nxz 1 2\nyz 2 3\n4 5\nxy 1 1\nxy 3 3\nxz 3 2\nyz 2 1\nyz 3 3\n0 0\n", "4 3\nxy 4 4\nxz 1 2\nyz 2 3\n4 5\nxy 1 1\nxy 3 3\nxz 3 1\nyz 2 1\nyz 3 3\n0 0\n", "4 3\nxy 4 3\nxz 1 2\nyz 2 3\n4 5\nxy 1 1\nwy 3 3\nxz 3 2\nyz 2 1\nyz 3 3\n0 0\n", "5 3\nxy 4 3\nxz 1 2\nyz 2 3\n4 5\nxy 1 1\nxy 3 3\nxz 3 2\nyz 2 1\nyz 3 3\n0 0\n", "4 3\nxy 4 3\nxz 1 2\nyz 2 3\n4 5\nxy 1 1\nwy 3 3\nxz 3 2\nyz 1 1\nyz 3 3\n0 0\n", "10 3\nxy 4 3\nxz 1 2\nyz 2 3\n4 5\nxy 1 1\nxy 3 3\nxz 3 2\nyz 2 1\nyz 3 3\n0 0\n", "14 3\nxy 4 3\nxz 1 2\nyz 2 3\n4 5\nxy 1 1\nxy 3 3\nxz 3 2\nyz 2 1\nyz 3 3\n0 0\n", "14 3\nxy 4 3\nxz 1 2\nyz 2 3\n4 5\nxy 1 1\nxy 3 3\nxz 3 2\nyz 2 2\nyz 3 3\n0 0\n", "4 3\nxy 4 4\nxz 1 2\nxz 4 2\n4 5\nxy 1 1\nxy 3 3\nxz 3 3\nyz 2 1\nyz 3 3\n0 0\n", "8 3\nxy 4 3\nxz 1 2\nyz 2 3\n4 5\nxy 1 1\nxy 3 3\nxz 3 2\nyz 2 1\nyz 3 3\n0 0\n" ]
[ "52\n46\n", "52\n47\n", "52\n48\n", "110\n46\n", "52\n49\n", "970\n46\n", "2702\n46\n", "2702\n47\n", "53\n46\n", "488\n46\n" ]
CodeContests
Prime Caves An international expedition discovered abandoned Buddhist cave temples in a giant cliff standing on the middle of a desert. There were many small caves dug into halfway down the vertical cliff, which were aligned on square grids. The archaeologists in the expedition were excited by Buddha's statues in those caves. More excitingly, there were scrolls of Buddhism sutras (holy books) hidden in some of the caves. Those scrolls, which estimated to be written more than thousand years ago, were of immeasurable value. The leader of the expedition wanted to collect as many scrolls as possible. However, it was not easy to get into the caves as they were located in the middle of the cliff. The only way to enter a cave was to hang you from a helicopter. Once entered and explored a cave, you can climb down to one of the three caves under your cave; i.e., either the cave directly below your cave, the caves one left or right to the cave directly below your cave. This can be repeated for as many times as you want, and then you can descent down to the ground by using a long rope. So you can explore several caves in one attempt. But which caves you should visit? By examining the results of the preliminary attempts, a mathematician member of the expedition discovered that (1) the caves can be numbered from the central one, spiraling out as shown in Figure D-1; and (2) only those caves with their cave numbers being prime (let's call such caves prime caves), which are circled in the figure, store scrolls. From the next attempt, you would be able to maximize the number of prime caves to explore. <image> Figure D-1: Numbering of the caves and the prime caves Write a program, given the total number of the caves and the cave visited first, that finds the descending route containing the maximum number of prime caves. Input The input consists of multiple datasets. Each dataset has an integer m (1 ≤ m ≤ 106) and an integer n (1 ≤ n ≤ m) in one line, separated by a space. m represents the total number of caves. n represents the cave number of the cave from which you will start your exploration. The last dataset is followed by a line with two zeros. Output For each dataset, find the path that starts from the cave n and contains the largest number of prime caves, and output the number of the prime caves on the path and the last prime cave number on the path in one line, separated by a space. The cave n, explored first, is included in the caves on the path. If there is more than one such path, output for the path in which the last of the prime caves explored has the largest number among such paths. When there is no such path that explores prime caves, output "`0 0`" (without quotation marks). Sample Input 49 22 46 37 42 23 945 561 1081 681 1056 452 1042 862 973 677 1000000 1000000 0 0 Output for the Sample Input 0 0 6 43 1 23 20 829 18 947 10 947 13 947 23 947 534 993541 Example Input 49 22 46 37 42 23 945 561 1081 681 1056 452 1042 862 973 677 1000000 1000000 0 0 Output 0 0 6 43 1 23 20 829 18 947 10 947 13 947 23 947 534 993541
stdin
null
4,513
1
[ "49 22\n46 37\n42 23\n945 561\n1081 681\n1056 452\n1042 862\n973 677\n1000000 1000000\n0 0\n" ]
[ "0 0\n6 43\n1 23\n20 829\n18 947\n10 947\n13 947\n23 947\n534 993541\n" ]
[ "49 22\n46 37\n42 23\n945 561\n1081 681\n1056 512\n1042 862\n973 677\n1000000 1000000\n0 0\n", "49 22\n46 27\n42 23\n945 561\n1081 681\n1056 452\n1042 862\n973 677\n1000000 1000000\n0 0\n", "49 22\n46 27\n42 23\n945 561\n1081 681\n1056 452\n1042 333\n973 677\n1000000 1000000\n0 0\n", "49 22\n46 37\n42 12\n945 561\n1081 681\n1056 452\n1042 862\n973 677\n1000000 1000000\n0 0\n", "49 22\n46 37\n42 12\n945 561\n1310 681\n1056 452\n1042 862\n973 677\n1000000 1000000\n0 0\n", "49 22\n46 37\n72 23\n945 561\n1081 681\n1056 512\n1042 862\n973 677\n1000000 1000000\n0 0\n", "49 22\n46 27\n42 5\n945 561\n1081 681\n1056 452\n1042 862\n973 677\n1000000 1000000\n0 0\n", "49 32\n46 27\n42 23\n945 561\n1081 681\n1056 452\n1042 333\n973 677\n1000000 1000000\n0 0\n", "49 22\n46 5\n42 12\n945 561\n1310 681\n1056 452\n1042 862\n973 677\n1000000 1000000\n0 0\n", "49 32\n46 27\n42 23\n945 561\n1081 681\n624 452\n1042 333\n973 677\n1000000 1000000\n0 0\n" ]
[ "0 0\n6 43\n1 23\n20 829\n18 947\n4 941\n13 947\n23 947\n534 993541\n", "0 0\n0 0\n1 23\n20 829\n18 947\n10 947\n13 947\n23 947\n534 993541\n", "0 0\n0 0\n1 23\n20 829\n18 947\n10 947\n11 947\n23 947\n534 993541\n", "0 0\n6 43\n2 23\n20 829\n18 947\n10 947\n13 947\n23 947\n534 993541\n", "0 0\n6 43\n2 23\n20 829\n18 1213\n10 947\n13 947\n23 947\n534 993541\n", "0 0\n6 43\n2 47\n20 829\n18 947\n4 941\n13 947\n23 947\n534 993541\n", "0 0\n0 0\n4 23\n20 829\n18 947\n10 947\n13 947\n23 947\n534 993541\n", "5 47\n0 0\n1 23\n20 829\n18 947\n10 947\n11 947\n23 947\n534 993541\n", "0 0\n4 43\n2 23\n20 829\n18 1213\n10 947\n13 947\n23 947\n534 993541\n", "5 47\n0 0\n1 23\n20 829\n18 947\n7 619\n11 947\n23 947\n534 993541\n" ]
CodeContests
Let f(A, B), where A and B are positive integers, be the string satisfying the following conditions: * f(A, B) has length A + B; * f(A, B) contains exactly A letters `A` and exactly B letters `B`; * The length of the longest substring of f(A, B) consisting of equal letters (ex., `AAAAA` or `BBBB`) is as small as possible under the conditions above; * f(A, B) is the lexicographically smallest string satisfying the conditions above. For example, f(2, 3) = `BABAB`, and f(6, 4) = `AABAABAABB`. Answer Q queries: find the substring of f(A_i, B_i) from position C_i to position D_i (1-based). Constraints * 1 \leq Q \leq 10^3 * 1 \leq A_i, B_i \leq 5 \times 10^8 * 1 \leq C_i \leq D_i \leq A_i + B_i * D_i - C_i + 1 \leq 100 * All input values are integers. Input Input is given from Standard Input in the following format: Q A_1 B_1 C_1 D_1 A_2 B_2 C_2 D_2 : A_Q B_Q C_Q D_Q Output For each query i in order of input, print a line containing the substring of f(A_i, B_i) from position C_i to position D_i (1-based). Example Input 5 2 3 1 5 6 4 1 10 2 3 4 4 6 4 3 7 8 10 5 8 Output BABAB AABAABAABB A BAABA ABAB
stdin
null
4,898
1
[ "5\n2 3 1 5\n6 4 1 10\n2 3 4 4\n6 4 3 7\n8 10 5 8\n" ]
[ "BABAB\nAABAABAABB\nA\nBAABA\nABAB\n" ]
[ "5\n2 3 1 5\n6 4 1 10\n2 3 4 4\n6 4 3 7\n8 10 5 14\n", "5\n2 3 1 5\n6 4 1 10\n2 3 4 4\n6 4 3 7\n8 2 5 8\n", "5\n2 3 1 5\n6 4 1 10\n2 3 4 4\n6 7 3 7\n8 10 5 14\n", "5\n2 3 1 5\n6 4 1 10\n2 3 6 4\n6 4 3 7\n8 2 5 8\n", "5\n2 3 1 5\n9 4 1 10\n2 3 6 4\n6 4 3 7\n8 2 5 8\n", "5\n2 3 1 5\n9 4 1 10\n2 3 6 4\n6 4 3 7\n12 2 5 8\n", "5\n2 6 1 5\n9 4 1 10\n2 3 6 4\n6 4 3 7\n12 2 5 8\n", "5\n2 6 1 5\n9 4 1 2\n2 3 6 4\n6 4 3 7\n12 2 5 8\n", "5\n1 6 1 5\n9 4 1 2\n2 3 6 4\n6 4 3 7\n12 2 5 8\n", "5\n0 6 1 5\n6 4 1 2\n2 3 6 4\n6 4 3 7\n12 2 5 8\n" ]
[ "BABAB\nAABAABAABB\nA\nBAABA\nABABBABBAB\n", "BABAB\nAABAABAABB\nA\nBAABA\nAAAB\n", "BABAB\nAABAABAABB\nA\nBABAB\nABABBABBAB\n", "BABAB\nAABAABAABB\n\nBAABA\nAAAB\n", "BABAB\nAABAABAABA\n\nBAABA\nAAAB\n", "BABAB\nAABAABAABA\n\nBAABA\nBAAA\n", "BBABB\nAABAABAABA\n\nBAABA\nBAAA\n", "BBABB\nAA\n\nBAABA\nBAAA\n", "BBBAB\nAA\n\nBAABA\nBAAA\n", "BBBBB\nAA\n\nBAABA\nBAAA\n" ]
CodeContests
You are given a string and a number k. You are suggested to generate new strings by swapping any adjacent pair of characters in the string up to k times. Write a program to report the lexicographically smallest string among them. Input The input is given in the following format. s k The first line provides a string s. The second line provides the maximum number of swapping operations k (0 ≤ k ≤ 109). The string consists solely of lower-case alphabetical letters and has a length between 1 and 2 × 105. Output Output the lexicographically smallest string. Examples Input pckoshien 3 Output ckopshien Input pckoshien 10 Output cekophsin
stdin
null
3,125
1
[ "pckoshien\n3\n", "pckoshien\n10\n" ]
[ "ckopshien\n", "cekophsin\n" ]
[ "kcposhien\n3\n", "pckoshien\n9\n", "kcooshien\n3\n", "pckoshien\n16\n", "kcooshien\n6\n", "pckoshien\n30\n", "kcooshien\n4\n", "kdooshien\n4\n", "kdooshien\n2\n", "pckosiien\n26\n" ]
[ "ckophsien\n", "cekopshin\n", "ckohosien\n", "cehikposn\n", "chkooisen\n", "cehiknops\n", "ckhoosien\n", "dkhoosien\n", "dkoohsien\n", "ceiiknops\n" ]
CodeContests
Taro has decided to move. Taro has a lot of luggage, so I decided to ask a moving company to carry the luggage. Since there are various weights of luggage, I asked them to arrange them in order from the lightest one for easy understanding, but the mover left the luggage in a different order. So Taro tried to sort the luggage, but the luggage is heavy and requires physical strength to carry. Each piece of luggage can be carried from where it is now to any place you like, such as between other pieces of luggage or at the edge of the piece of luggage, but carrying one piece of luggage uses as much physical strength as the weight of that piece of luggage. Taro doesn't have much physical strength, so I decided to think of a way to arrange the luggage in order from the lightest one without using as much physical strength as possible. Constraints > 1 ≤ n ≤ 105 > 1 ≤ xi ≤ n (1 ≤ i ≤ n) > xi ≠ xj (1 ≤ i, j ≤ n and i ≠ j) > * All inputs are given as integers Input > n > x1 x2 ... xn > * n represents the number of luggage that Taro has * x1 to xn represent the weight of each piece of luggage, and are currently arranged in the order of x1, x2, ..., xn. Output > S > * Output the total S of the minimum physical strength required to arrange the luggage in order from the lightest, but output the line break at the end Examples Input 4 1 4 2 3 Output 4 Input 5 1 5 3 2 4 Output 7 Input 7 1 2 3 4 5 6 7 Output 0 Input 8 6 2 1 3 8 5 4 7 Output 19
stdin
null
1,065
1
[ "8\n6 2 1 3 8 5 4 7\n", "5\n1 5 3 2 4\n", "7\n1 2 3 4 5 6 7\n", "4\n1 4 2 3\n" ]
[ "19\n", "7\n", "0\n", "4\n" ]
[ "7\n1 2 5 4 3 6 7\n", "4\n2 4 2 2\n", "4\n1 4 3 2\n", "7\n1 3 2 4 5 6 7\n", "4\n3 4 1 2\n", "8\n7 2 1 3 8 5 4 6\n", "7\n1 2 8 1 3 6 7\n", "5\n2 5 3 1 4\n", "8\n5 2 1 3 8 6 4 7\n", "7\n2 1 5 4 3 6 7\n" ]
[ "7\n", "4\n", "5\n", "2\n", "3\n", "20\n", "9\n", "6\n", "18\n", "8\n" ]
CodeContests
Fatland is a town with N cities numbered 1, 2, ..., N, connected with 2-way roads. Vincent is a villian who wants to set the entire town ablaze. For each city, there is a certain risk factor E[i] for setting that city ablaze. But once a city c is set ablaze, all cities that can be reached from c will be set ablaze immediately. The overall risk factor of setting some number of cities ablaze is the sum of the risk factors of setting each of the cities ablaze. Vincent's goal is to set the whole town ablaze with minimal risk by picking some set of cities to set ablaze. Let M be the minimum risk he takes when setting the entire city ablaze. Calculate the number of ways to pick a set of cities to obtain a risk of M. Input: The first line contains an integer N, the number of cities in Fatland. The second line contains N space-separated integers, the i-th integer representing E[i]. (1-based index) The third line contains an integer K, denoting the number 2-way roads. Each of the next K lines contains 2 space-separated integers i, j, a road between cities i and j. Output: Output one integer, W. The number of ways to pick a set of cities to obtain a risk of M, so that the entire town is set ablaze is U. W is the remainder when U is divided by 10^9+7=1000000007. Constraints: 1 ≤ N ≤ 10^3 1 ≤ K ≤ 10^3 1 ≤ E[i] ≤ 10^3 SAMPLE INPUT 4 3 3 3 3 2 1 2 4 1 SAMPLE OUTPUT 3 Explanation Vincent can set cities 1 and 3 ablaze, 2 and 3 ablaze, or 4 and 3 ablaze for a risk of 6. Note that setting either 1, 2, 4 ablaze will set 1, 2, and 4 ablaze.
stdin
null
4,768
1
[ "4\n3 3 3 3\n2\n1 2\n4 1\n\nSAMPLE\n" ]
[ "3\n" ]
[ "523\n99 579 761 271 923 129 332 471 667 607 959 414 553 147 885 77 776 670 194 603 22 688 288 317 223 844 193 657 919 827 627 918 502 278 957 646 874 501 760 403 894 995 326 51 307 118 695 777 109 299 38 614 410 551 522 154 300 763 19 389 880 932 988 621 815 207 284 553 398 576 684 522 502 290 566 572 927 998 66 882 628 81 649 83 199 178 541 967 865 73 867 335 643 785 447 238 904 440 305 935 773 296 206 974 390 1 72 404 353 26 203 269 921 566 665 840 376 256 64 359 684 689 624 557 135 722 993 145 987 681 856 534 933 983 882 891 225 956 468 105 453 154 675 157 887 129 248 862 494 392 35 149 21 508 261 28 707 106 912 567 623 396 597 481 605 13 717 923 349 845 840 285 440 202 814 857 126 684 943 18 519 75 924 10 964 180 661 675 897 471 96 974 562 497 673 544 43 164 560 642 254 90 410 149 40 664 54 388 281 963 631 772 900 320 882 65 285 809 939 640 444 161 375 146 621 252 901 175 47 621 337 670 778 784 427 628 234 254 952 819 321 810 802 623 930 272 215 695 475 413 772 290 504 343 774 36 876 388 931 953 639 167 445 85 689 394 640 325 305 696 585 856 635 280 863 38 94 965 678 917 549 947 115 676 272 779 723 534 268 677 596 503 633 531 562 181 600 134 14 476 457 572 12 206 83 917 345 691 935 64 327 571 811 353 604 899 818 227 663 916 882 642 262 545 604 669 447 77 311 585 475 947 581 942 730 223 757 409 772 237 346 453 999 189 184 135 883 20 225 457 293 926 973 237 69 91 128 499 462 904 898 326 887 385 223 510 478 85 170 538 108 12 293 703 780 798 169 103 463 343 748 909 714 589 618 692 93 229 761 667 324 534 921 395 303 426 255 52 579 929 589 685 816 939 38 145 945 30 677 392 516 779 85 273 925 189 759 857 650 468 364 217 330 757 437 908 353 394 163 82 542 75 851 737 556 499 91 292 923 184 520 67 781 788 15 817 592 765 489 657 33 412 706 980 8 780 830 453 600 893 230 192 295 5 965 579 731 25 642 483 19 687 755 688 240 529 174 266 685 546 716 513 788 697 538 933 492 17 900 899 196 567 445 232 685 417 414 625 559 982 363 206 995 526 769 681 849 272 187 444 372 813 235 728 960 868 541 65 455 215 533 391 349\n777\n515 386\n249 143\n345 232\n406 420\n217 366\n445 243\n161 169\n50 13\n160 53\n296 333\n513 514\n409 446\n74 106\n351 13\n306 72\n31 61\n470 131\n482 97\n54 316\n395 271\n8 38\n282 66\n433 415\n410 236\n169 111\n475 36\n75 389\n440 12\n213 501\n254 466\n489 168\n364 67\n79 61\n171 93\n283 50\n187 37\n453 445\n176 521\n13 431\n275 130\n356 133\n231 52\n327 445\n249 13\n318 508\n302 473\n295 510\n356 438\n46 390\n317 27\n111 497\n511 189\n296 265\n68 227\n362 162\n457 47\n183 29\n440 386\n205 141\n45 215\n307 199\n54 34\n347 486\n348 65\n335 130\n218 200\n318 229\n460 478\n105 125\n35 368\n255 219\n496 482\n364 333\n45 285\n501 144\n83 262\n378 260\n147 410\n258 95\n12 144\n221 298\n296 120\n410 154\n165 304\n51 189\n410 473\n47 172\n183 12\n105 162\n334 293\n294 34\n479 121\n157 496\n16 447\n200 481\n282 518\n380 303\n297 173\n425 39\n448 327\n5 245\n275 433\n471 383\n338 354\n73 242\n483 301\n285 220\n398 430\n427 438\n155 152\n354 71\n247 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399\n114 577\n437 577\n483 171\n405 437\n340 280\n239 394\n190 576\n142 473\n186 231\n464 346\n513 418\n48 44\n284 283\n343 389\n109 502\n10 183\n5 470\n269 254\n203 511\n128 554\n323 25\n581 476\n249 193\n444 551\n487 15\n558 547\n246 18\n246 32\n339 195\n317 111\n50 559\n186 319\n201 410\n171 297\n421 498\n129 53\n533 487\n310 330\n64 187\n244 1\n78 89\n560 74\n372 80\n177 58\n452 202\n309 91\n87 398\n257 362\n551 204\n236 485\n32 505\n324 274\n162 457\n2 245\n518 236\n380 275\n249 127\n50 334\n115 354\n340 169\n572 171\n350 39\n379 323\n30 81\n173 298\n533 584\n516 527\n", "1000\n551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 573 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551\n500\n999 1000\n1 2\n3 4\n5 6\n7 8\n9 10\n11 12\n13 14\n15 16\n17 18\n19 20\n21 22\n23 24\n25 26\n27 28\n29 30\n31 32\n33 34\n35 36\n37 38\n39 40\n41 42\n43 44\n45 46\n47 48\n49 50\n51 52\n53 54\n55 56\n57 58\n59 60\n61 62\n63 64\n65 66\n67 68\n69 70\n71 72\n73 74\n75 76\n77 78\n79 80\n81 82\n83 84\n85 86\n87 88\n89 90\n91 92\n93 94\n95 96\n97 98\n99 100\n101 102\n103 104\n105 106\n107 108\n109 110\n111 112\n113 114\n115 116\n117 118\n119 120\n121 122\n123 124\n125 126\n127 128\n129 130\n131 132\n133 134\n135 136\n137 138\n139 140\n141 142\n143 144\n145 146\n147 148\n149 150\n151 152\n153 154\n155 156\n157 158\n159 160\n161 162\n163 164\n165 166\n167 168\n169 170\n171 172\n173 174\n175 176\n177 178\n179 180\n181 182\n183 184\n185 186\n187 188\n189 190\n191 192\n193 194\n195 196\n197 198\n199 200\n201 202\n203 204\n205 206\n207 208\n209 210\n211 212\n213 214\n215 216\n217 218\n219 220\n221 222\n223 224\n225 226\n227 228\n229 230\n231 232\n233 234\n235 236\n237 238\n239 240\n241 242\n243 244\n245 246\n247 248\n249 250\n251 252\n253 254\n255 256\n257 258\n259 260\n261 262\n263 264\n265 266\n267 268\n269 270\n271 272\n273 274\n275 276\n277 278\n279 280\n281 282\n283 284\n285 286\n287 288\n289 290\n291 292\n293 294\n295 296\n297 298\n299 300\n301 302\n303 304\n305 306\n307 308\n309 310\n311 312\n313 314\n315 316\n317 318\n319 320\n321 322\n323 324\n325 326\n327 328\n329 330\n331 332\n333 334\n335 336\n337 338\n339 340\n341 342\n343 344\n345 346\n347 348\n349 350\n351 352\n353 354\n355 356\n357 358\n359 360\n361 362\n363 364\n365 366\n367 368\n369 370\n371 372\n373 374\n375 376\n377 378\n379 380\n381 382\n383 384\n385 386\n387 388\n389 390\n391 392\n393 394\n395 396\n397 398\n399 400\n401 402\n403 404\n405 406\n407 408\n409 410\n411 412\n413 414\n415 416\n417 418\n419 420\n421 422\n423 424\n425 426\n427 428\n429 430\n431 432\n433 434\n435 436\n437 438\n439 440\n441 442\n443 444\n445 446\n447 448\n449 450\n451 452\n453 454\n455 456\n457 458\n459 460\n461 462\n463 464\n465 466\n467 468\n469 470\n471 472\n473 474\n475 476\n477 478\n479 480\n481 482\n483 484\n485 486\n487 488\n489 490\n491 492\n493 494\n495 496\n497 498\n499 500\n501 502\n503 504\n505 506\n507 508\n509 510\n511 512\n513 514\n515 516\n517 518\n519 520\n521 522\n523 524\n525 526\n527 528\n529 530\n531 532\n533 534\n535 536\n537 538\n539 540\n541 542\n543 544\n545 546\n547 548\n549 550\n551 552\n553 554\n555 556\n557 558\n559 560\n561 562\n563 564\n565 566\n567 568\n569 570\n571 572\n573 574\n575 576\n577 578\n579 580\n581 582\n583 584\n585 586\n587 588\n589 590\n591 592\n593 594\n595 596\n597 598\n599 600\n601 602\n603 604\n605 606\n607 608\n609 610\n611 612\n613 614\n615 616\n617 618\n619 620\n621 622\n623 624\n625 626\n627 628\n629 630\n631 632\n633 634\n635 636\n637 638\n639 640\n641 642\n643 644\n645 646\n647 648\n649 650\n651 652\n653 654\n655 656\n657 658\n659 660\n661 662\n663 664\n665 666\n667 668\n669 670\n671 672\n673 674\n675 676\n677 678\n679 680\n681 682\n683 684\n685 686\n687 688\n689 690\n691 692\n693 694\n695 696\n697 698\n699 700\n701 702\n703 704\n705 706\n707 708\n709 710\n711 712\n713 714\n715 716\n717 718\n719 720\n721 722\n723 724\n725 726\n727 728\n729 730\n731 732\n733 734\n735 736\n737 738\n739 740\n741 742\n743 744\n745 746\n747 748\n749 750\n751 752\n753 754\n755 756\n757 758\n759 760\n761 762\n763 764\n765 766\n767 768\n769 770\n771 772\n773 774\n775 776\n777 778\n779 780\n781 782\n783 784\n785 786\n787 788\n789 790\n791 792\n793 794\n795 796\n797 798\n799 800\n801 802\n803 804\n805 806\n807 808\n809 810\n811 812\n813 814\n815 816\n817 818\n819 820\n821 822\n823 824\n825 826\n827 828\n829 830\n831 832\n833 834\n835 836\n837 838\n839 840\n841 842\n843 844\n845 846\n847 848\n849 850\n851 852\n853 854\n855 856\n857 858\n859 860\n861 862\n863 864\n865 866\n867 868\n869 870\n871 872\n873 874\n875 876\n877 878\n879 880\n881 882\n883 884\n885 886\n887 888\n889 890\n891 892\n893 894\n895 896\n897 898\n899 900\n901 902\n903 904\n905 906\n907 908\n909 910\n911 912\n913 914\n915 916\n917 918\n919 920\n921 922\n923 924\n925 926\n927 928\n929 930\n931 932\n933 934\n935 936\n937 938\n939 940\n941 942\n943 944\n945 946\n947 948\n949 950\n951 952\n953 954\n955 956\n957 958\n959 960\n961 962\n963 964\n965 966\n967 968\n969 970\n971 972\n973 974\n975 976\n977 978\n979 980\n981 982\n983 984\n985 986\n987 988\n989 990\n991 992\n993 994\n995 996\n997 998\n", "714\n4 10 5 6 13 13 2 15 15 11 5 2 1 1 7 11 15 2 4 13 2 4 4 2 5 12 13 6 13 14 14 12 13 7 3 3 8 10 9 14 6 12 5 14 15 10 5 13 8 15 1 14 6 11 4 12 2 7 2 1 14 5 14 1 12 9 14 15 3 3 14 3 6 8 5 3 13 7 6 6 11 10 7 1 14 6 15 13 11 9 7 7 3 9 13 3 11 10 2 6 14 4 7 6 8 5 3 3 2 10 4 8 5 9 3 15 14 15 7 10 6 8 9 10 5 1 2 15 13 10 8 6 15 7 5 6 6 5 7 15 3 4 9 13 10 9 11 2 11 6 5 13 4 15 15 13 11 3 5 2 10 1 9 9 4 7 3 10 14 4 3 11 10 14 3 14 9 2 11 13 9 11 4 15 7 13 13 2 8 11 15 8 12 6 14 8 8 7 5 7 8 7 1 13 11 10 12 9 15 6 9 10 6 11 5 11 13 5 9 11 12 8 1 3 13 12 13 12 6 3 13 3 9 11 4 6 11 11 7 13 1 7 14 9 7 6 15 2 9 9 2 4 11 2 8 5 7 10 11 8 6 4 7 6 3 6 5 8 3 2 10 13 12 1 9 13 14 9 2 9 15 3 10 14 2 4 5 11 4 12 6 1 13 1 5 9 7 15 12 7 9 3 12 4 9 7 15 9 6 7 6 2 6 15 9 10 9 11 7 7 3 15 1 14 15 10 3 8 5 1 14 1 8 4 11 9 12 15 12 14 14 8 4 4 11 14 11 10 10 1 14 11 3 2 6 11 7 14 9 7 10 3 14 9 5 5 3 15 3 5 10 8 5 3 13 11 4 3 2 15 1 9 7 8 8 1 15 5 15 7 2 4 10 12 14 13 7 3 6 6 9 9 8 3 14 8 2 4 3 7 4 13 12 14 14 9 14 14 7 14 15 3 7 6 10 1 7 15 10 10 3 7 4 3 4 3 11 13 6 1 10 15 7 11 7 6 12 12 8 11 5 7 1 8 10 15 4 14 12 14 8 5 8 8 7 10 14 10 4 15 10 7 11 2 4 15 6 9 10 5 8 11 9 15 6 7 9 4 15 11 13 11 4 10 8 1 10 4 3 14 14 2 14 7 11 12 5 11 5 8 8 14 4 6 11 4 1 6 11 8 12 2 3 2 9 13 8 3 10 13 14 14 9 6 15 8 8 9 9 8 13 6 4 12 11 8 13 7 11 15 3 4 2 5 2 15 1 4 15 11 10 1 9 10 11 10 11 10 8 14 1 4 14 1 9 5 11 5 11 1 8 8 5 5 12 9 12 8 2 15 13 6 12 4 5 8 7 2 9 7 2 13 7 11 7 11 14 15 7 1 5 11 12 10 13 8 13 3 1 13 15 12 2 3 4 9 3 8 2 10 4 15 11 7 5 4 6 2 9 13 1 12 14 10 14 2 7 14 8 6 4 12 12 13 9 3 5 1 14 14 13 4 12 14 14 11 10 7 6 9 12 14 2 1 13 11 12 14 9 10 15 2 5 11 15 5 14 15 11 6 5 7 13 8 4 2 4 9 6 14 7 12 3 5 5 13 12 12 8 11 4 6 9 11\n1000\n127 53\n94 620\n181 330\n101 567\n687 307\n29 703\n354 88\n128 189\n103 276\n188 375\n278 99\n432 85\n507 372\n714 540\n517 219\n446 38\n704 475\n64 398\n214 290\n643 418\n110 126\n319 129\n649 65\n669 425\n425 532\n666 449\n16 80\n181 531\n713 3\n389 28\n173 673\n653 361\n614 564\n629 401\n119 397\n676 416\n58 63\n566 220\n580 241\n130 421\n142 366\n152 153\n291 420\n380 77\n208 402\n536 386\n640 646\n239 711\n663 618\n591 500\n383 11\n191 333\n245 653\n245 539\n79 688\n333 245\n373 90\n48 392\n355 311\n349 281\n258 672\n573 690\n98 274\n367 502\n49 610\n483 599\n491 512\n502 493\n587 480\n290 257\n493 521\n667 322\n370 382\n649 512\n333 296\n663 333\n524 634\n358 481\n337 79\n424 19\n603 169\n446 422\n326 155\n25 98\n396 18\n321 54\n439 663\n27 166\n552 376\n369 693\n602 330\n665 337\n605 531\n566 454\n472 119\n603 253\n643 326\n108 586\n604 236\n435 663\n65 601\n577 531\n178 355\n226 573\n172 507\n386 531\n576 284\n138 310\n545 389\n668 328\n627 598\n566 353\n558 547\n351 612\n359 498\n212 473\n602 695\n206 120\n216 672\n519 618\n644 72\n481 691\n683 663\n580 128\n205 442\n430 440\n146 440\n142 232\n299 641\n385 656\n91 172\n201 610\n190 421\n144 612\n362 435\n50 10\n672 379\n46 161\n138 29\n102 369\n143 91\n42 458\n393 100\n676 25\n193 498\n404 261\n216 539\n146 140\n402 167\n327 318\n631 293\n711 596\n417 575\n405 364\n285 468\n535 556\n411 687\n422 156\n64 241\n527 487\n583 301\n234 568\n208 1\n643 521\n77 500\n400 478\n343 182\n492 659\n73 685\n532 396\n238 623\n398 121\n136 385\n713 638\n25 451\n356 530\n373 32\n27 465\n70 79\n648 576\n664 52\n700 621\n222 581\n425 107\n532 66\n139 445\n541 525\n402 629\n682 392\n232 323\n624 3\n334 449\n695 182\n120 670\n571 688\n256 283\n82 223\n458 690\n666 679\n260 500\n605 231\n518 431\n133 7\n346 87\n334 457\n491 167\n539 51\n444 94\n520 11\n346 140\n358 493\n220 26\n22 656\n636 109\n570 616\n311 48\n370 670\n55 267\n153 236\n303 72\n499 317\n8 560\n196 318\n238 223\n30 314\n108 538\n642 464\n295 47\n543 337\n199 224\n128 381\n533 85\n15 437\n11 587\n347 163\n458 418\n169 56\n403 139\n418 454\n76 711\n126 163\n461 567\n532 315\n641 328\n190 377\n82 107\n210 495\n619 49\n559 493\n368 591\n531 275\n330 583\n663 637\n555 708\n308 495\n78 461\n454 567\n567 493\n367 690\n533 377\n682 646\n271 28\n562 179\n666 603\n83 467\n179 440\n242 218\n239 677\n213 256\n230 279\n16 409\n187 599\n110 152\n256 594\n306 300\n690 700\n172 227\n526 662\n440 5\n584 236\n343 684\n85 692\n386 408\n537 152\n286 103\n212 91\n413 5\n413 360\n68 258\n416 495\n481 559\n140 301\n37 210\n171 31\n13 253\n598 468\n669 553\n351 389\n364 208\n708 344\n108 148\n490 142\n234 233\n239 260\n264 588\n26 357\n107 507\n328 470\n589 306\n167 181\n413 504\n18 140\n72 30\n625 209\n278 559\n499 583\n41 417\n178 310\n511 47\n519 199\n602 357\n520 602\n95 38\n64 603\n162 87\n182 328\n2 575\n251 51\n629 441\n18 503\n57 669\n423 560\n246 184\n256 305\n698 155\n313 588\n78 412\n205 67\n157 9\n244 15\n212 156\n452 420\n206 439\n96 383\n560 165\n164 401\n620 45\n654 673\n633 123\n305 270\n250 245\n583 242\n623 93\n203 521\n520 665\n421 634\n594 360\n515 428\n168 447\n204 472\n166 291\n293 297\n705 114\n571 550\n630 91\n507 466\n90 561\n406 354\n565 18\n306 554\n486 45\n412 197\n328 507\n309 447\n699 649\n369 549\n438 478\n152 324\n580 338\n204 254\n328 521\n283 202\n92 282\n280 84\n146 273\n196 617\n607 357\n163 400\n114 213\n674 109\n475 90\n289 76\n622 178\n493 165\n437 594\n702 302\n178 141\n514 665\n569 86\n310 157\n81 602\n650 593\n161 339\n91 440\n631 310\n71 707\n149 232\n103 427\n211 270\n337 220\n75 597\n662 598\n697 618\n113 123\n494 694\n49 67\n150 361\n292 66\n570 504\n196 498\n444 667\n341 486\n117 244\n24 264\n252 558\n112 669\n5 367\n190 577\n396 585\n629 37\n654 294\n328 660\n106 298\n331 189\n56 696\n616 422\n656 161\n371 464\n187 199\n118 135\n472 99\n279 36\n360 137\n2 395\n361 353\n80 139\n649 227\n711 162\n137 388\n706 3\n363 462\n23 650\n495 155\n156 617\n230 205\n632 344\n407 500\n592 552\n386 477\n398 233\n154 549\n526 581\n160 652\n255 595\n445 619\n508 396\n485 30\n479 578\n650 278\n601 382\n576 591\n23 128\n6 688\n276 679\n58 366\n213 411\n595 276\n342 627\n115 585\n563 432\n492 635\n461 80\n712 171\n303 498\n693 634\n502 707\n277 191\n421 444\n556 268\n525 564\n257 338\n527 648\n257 581\n658 512\n123 699\n122 532\n180 255\n455 492\n41 86\n612 313\n115 81\n526 120\n24 648\n257 534\n706 236\n620 117\n410 98\n515 418\n435 501\n676 155\n43 650\n417 3\n691 512\n187 514\n695 443\n70 213\n415 638\n288 197\n342 437\n228 593\n624 339\n153 183\n68 513\n113 600\n505 186\n44 492\n151 344\n394 351\n124 478\n554 20\n365 274\n470 562\n707 701\n288 181\n650 628\n424 575\n242 307\n418 166\n172 486\n221 341\n443 40\n489 241\n377 698\n186 115\n509 336\n697 177\n488 570\n16 180\n69 608\n558 514\n574 541\n523 205\n510 573\n91 385\n637 90\n387 204\n381 487\n51 634\n262 153\n459 677\n29 157\n696 13\n441 157\n175 513\n425 61\n279 452\n199 172\n214 41\n133 11\n662 162\n176 550\n244 658\n86 348\n536 620\n307 8\n193 252\n365 50\n298 633\n156 45\n81 150\n211 129\n618 482\n576 378\n525 603\n563 404\n303 490\n350 274\n38 640\n277 535\n598 405\n80 695\n254 268\n663 507\n50 324\n574 648\n158 70\n596 280\n655 257\n117 646\n544 36\n74 313\n59 38\n267 428\n332 682\n167 654\n275 523\n186 709\n386 485\n273 653\n335 187\n7 557\n127 379\n487 681\n569 547\n398 505\n513 271\n220 223\n672 24\n72 650\n427 136\n194 109\n532 651\n23 54\n557 530\n520 119\n93 177\n536 368\n83 134\n145 533\n242 330\n325 646\n375 319\n507 558\n556 251\n617 274\n627 416\n585 189\n486 47\n162 570\n618 292\n206 352\n627 276\n171 130\n222 638\n153 87\n251 131\n447 560\n547 73\n419 88\n527 568\n172 663\n403 386\n162 82\n79 460\n140 571\n516 642\n590 306\n550 194\n296 96\n475 210\n98 102\n436 582\n128 620\n401 357\n390 4\n686 704\n691 133\n553 639\n130 153\n277 7\n434 559\n200 285\n153 59\n416 471\n381 353\n458 380\n21 424\n283 119\n624 429\n148 340\n21 53\n157 528\n493 590\n383 595\n643 347\n482 655\n657 651\n331 671\n267 206\n532 388\n241 67\n473 298\n288 247\n330 711\n453 292\n585 619\n16 4\n698 440\n573 490\n578 286\n569 568\n437 103\n565 501\n355 444\n128 711\n331 382\n492 285\n472 271\n298 158\n78 637\n181 367\n387 143\n641 537\n73 410\n15 538\n233 693\n571 290\n162 149\n147 355\n518 494\n309 594\n92 188\n526 591\n68 85\n204 403\n486 177\n270 430\n671 461\n9 541\n205 695\n610 390\n227 6\n607 178\n528 464\n178 387\n247 165\n589 107\n524 339\n264 558\n75 6\n610 192\n485 281\n199 53\n354 438\n633 437\n521 649\n693 237\n708 602\n147 584\n23 139\n581 524\n15 299\n546 619\n220 313\n357 216\n406 505\n373 460\n167 173\n429 534\n118 196\n409 309\n158 285\n677 573\n168 459\n361 683\n303 6\n397 194\n377 268\n670 391\n492 196\n548 67\n166 288\n246 318\n166 205\n67 425\n371 532\n121 620\n201 21\n336 701\n417 510\n643 170\n625 677\n110 260\n575 491\n427 485\n535 640\n432 149\n679 524\n696 485\n252 379\n249 457\n30 516\n344 421\n438 101\n424 65\n74 429\n708 176\n219 406\n671 225\n133 265\n330 207\n379 409\n130 77\n381 675\n558 240\n411 215\n373 91\n631 368\n591 134\n701 348\n609 246\n686 592\n11 212\n440 217\n14 603\n295 4\n384 700\n33 491\n570 232\n64 88\n360 640\n393 302\n276 518\n14 59\n281 633\n145 403\n339 203\n359 617\n38 164\n350 518\n142 413\n94 354\n444 192\n379 477\n688 376\n308 331\n99 171\n653 470\n191 109\n282 601\n297 113\n81 198\n220 438\n444 513\n593 47\n229 104\n159 642\n515 389\n561 656\n281 287\n475 555\n65 493\n626 600\n295 292\n234 115\n687 166\n269 127\n260 286\n710 621\n60 111\n369 267\n549 544\n299 391\n571 319\n461 530\n73 195\n211 643\n128 469\n273 248\n203 102\n330 32\n581 419\n97 161\n714 54\n427 96\n383 518\n606 92\n211 360\n684 601\n379 233\n422 321\n543 477\n592 206\n477 386\n186 628\n77 575\n201 206\n161 647\n617 650\n66 104\n507 140\n689 714\n689 59\n324 66\n358 585\n48 491\n709 386\n53 294\n16 426\n639 157\n151 209\n183 400\n518 304\n266 622\n184 108\n405 266\n434 633\n244 419\n569 670\n236 168\n153 613\n192 55\n394 251\n510 194\n53 379\n86 665\n672 688\n297 243\n430 97\n258 292\n632 472\n609 381\n542 596\n6 338\n592 8\n509 702\n21 294\n304 353\n274 314\n6 266\n585 459\n362 376\n234 613\n102 677\n467 383\n70 705\n273 568\n363 447\n145 138\n123 278\n659 650\n561 586\n248 328\n383 43\n514 442\n454 85\n552 653\n580 427\n493 185\n213 696\n481 128\n583 637\n458 24\n427 480\n504 66\n356 15\n434 390\n488 71\n439 301\n552 416\n104 267\n616 549\n7 417\n368 159\n651 590\n482 477\n648 414\n450 209\n134 546\n445 623\n689 113\n549 237\n81 56\n259 50\n714 303\n67 243\n410 2\n104 673\n267 151\n613 365\n89 424\n83 499\n79 713\n124 342\n293 260\n457 45\n70 602\n600 285\n194 343\n65 62\n457 389\n415 490\n674 669\n647 663\n424 308\n447 247\n383 93\n322 680\n309 601\n208 558\n", "4\n3 4 3 3\n2\n1 2\n4 1\n\nSAMPLE\n", "1000\n551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 106 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 573 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551\n500\n999 1000\n1 2\n3 4\n5 6\n7 8\n9 10\n11 12\n13 14\n15 16\n17 18\n19 20\n21 22\n23 24\n25 26\n27 28\n29 30\n31 32\n33 34\n35 36\n37 38\n39 40\n41 42\n43 44\n45 46\n47 48\n49 50\n51 52\n53 54\n55 56\n57 58\n59 60\n61 62\n63 64\n65 66\n67 68\n69 70\n71 72\n73 74\n75 76\n77 78\n79 80\n81 82\n83 84\n85 86\n87 88\n89 90\n91 92\n93 94\n95 96\n97 98\n99 100\n101 102\n103 104\n105 106\n107 108\n109 110\n111 112\n113 114\n115 116\n117 118\n119 120\n121 122\n123 124\n125 126\n127 128\n129 130\n131 132\n133 134\n135 136\n137 138\n139 140\n141 142\n143 144\n145 146\n147 148\n149 150\n151 152\n153 154\n155 156\n157 158\n159 160\n161 162\n163 164\n165 166\n167 168\n169 170\n171 172\n173 174\n175 176\n177 178\n179 180\n181 182\n183 184\n185 186\n187 188\n189 190\n191 192\n193 194\n195 196\n197 198\n199 200\n201 202\n203 204\n205 206\n207 208\n209 210\n211 212\n213 214\n215 216\n217 218\n219 220\n221 222\n223 224\n225 226\n227 228\n229 230\n231 232\n233 234\n235 236\n237 238\n239 240\n241 242\n243 244\n245 246\n247 248\n249 250\n251 252\n253 254\n255 256\n257 258\n259 260\n261 262\n263 264\n265 266\n267 268\n269 270\n271 272\n273 274\n275 276\n277 278\n279 280\n281 282\n283 284\n285 286\n287 288\n289 290\n291 292\n293 294\n295 296\n297 298\n299 300\n301 302\n303 304\n305 306\n307 308\n309 310\n311 312\n313 314\n315 316\n317 318\n319 320\n321 322\n323 324\n325 326\n327 328\n329 330\n331 332\n333 334\n335 336\n337 338\n339 340\n341 342\n343 344\n345 346\n347 348\n349 350\n351 352\n353 354\n355 356\n357 358\n359 360\n361 362\n363 364\n365 366\n367 368\n369 370\n371 372\n373 374\n375 376\n377 378\n379 380\n381 382\n383 384\n385 386\n387 388\n389 390\n391 392\n393 394\n395 396\n397 398\n399 400\n401 402\n403 404\n405 406\n407 408\n409 410\n411 412\n413 414\n415 416\n417 418\n419 420\n421 422\n423 424\n425 426\n427 428\n429 430\n431 432\n433 434\n435 436\n437 438\n439 440\n441 442\n443 444\n445 446\n447 448\n449 450\n451 452\n453 454\n455 456\n457 458\n459 460\n461 462\n463 464\n465 466\n467 468\n469 470\n471 472\n473 474\n475 476\n477 478\n479 480\n481 482\n483 484\n485 486\n487 488\n489 490\n491 492\n493 494\n495 496\n497 498\n499 500\n501 502\n503 504\n505 506\n507 508\n509 510\n511 512\n513 514\n515 516\n517 518\n519 520\n521 522\n523 524\n525 526\n527 528\n529 530\n531 532\n533 534\n535 536\n537 538\n539 540\n541 542\n543 544\n545 546\n547 548\n549 550\n551 552\n553 554\n555 556\n557 558\n559 560\n561 562\n563 564\n565 566\n567 568\n569 570\n571 572\n573 574\n575 576\n577 578\n579 580\n581 582\n583 584\n585 586\n587 588\n589 590\n591 592\n593 594\n595 596\n597 598\n599 600\n601 602\n603 604\n605 606\n607 608\n609 610\n611 612\n613 614\n615 616\n617 618\n619 620\n621 622\n623 624\n625 626\n627 628\n629 630\n631 632\n633 634\n635 636\n637 638\n639 640\n641 642\n643 644\n645 646\n647 648\n649 650\n651 652\n653 654\n655 656\n657 658\n659 660\n661 662\n663 664\n665 666\n667 668\n669 670\n671 672\n673 674\n675 676\n677 678\n679 680\n681 682\n683 684\n685 686\n687 688\n689 690\n691 692\n693 694\n695 696\n697 698\n699 700\n701 702\n703 704\n705 706\n707 708\n709 710\n711 712\n713 714\n715 716\n717 718\n719 720\n721 722\n723 724\n725 726\n727 728\n729 730\n731 732\n733 734\n735 736\n737 738\n739 740\n741 742\n743 744\n745 746\n747 748\n749 750\n751 752\n753 754\n755 756\n757 758\n759 760\n761 762\n763 764\n765 766\n767 768\n769 770\n771 772\n773 774\n775 776\n777 778\n779 780\n781 782\n783 784\n785 786\n787 788\n789 790\n791 792\n793 794\n795 796\n797 798\n799 800\n801 802\n803 804\n805 806\n807 808\n809 810\n811 812\n813 814\n815 816\n817 818\n819 820\n821 822\n823 824\n825 826\n827 828\n829 830\n831 832\n833 834\n835 836\n837 838\n839 840\n841 842\n843 844\n845 846\n847 848\n849 850\n851 852\n853 854\n855 856\n857 858\n859 860\n861 862\n863 864\n865 866\n867 868\n869 870\n871 872\n873 874\n875 876\n877 878\n879 880\n881 882\n883 884\n885 886\n887 888\n889 890\n891 892\n893 894\n895 896\n897 898\n899 900\n901 902\n903 904\n905 906\n907 908\n909 910\n911 912\n913 914\n915 916\n917 918\n919 920\n921 922\n923 924\n925 926\n927 928\n929 930\n931 932\n933 934\n935 936\n937 938\n939 940\n941 942\n943 944\n945 946\n947 948\n949 950\n951 952\n953 954\n955 956\n957 958\n959 960\n961 962\n963 964\n965 966\n967 968\n969 970\n971 972\n973 974\n975 976\n977 978\n979 980\n981 982\n983 984\n985 986\n987 988\n989 990\n991 992\n993 994\n995 996\n997 998\n", "1000\n551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 106 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 44 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 573 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551\n500\n999 1000\n1 2\n3 4\n5 6\n7 8\n9 10\n11 12\n13 14\n15 16\n17 18\n19 20\n21 22\n23 24\n25 26\n27 28\n29 30\n31 32\n33 34\n35 36\n37 38\n39 40\n41 42\n43 44\n45 46\n47 48\n49 50\n51 52\n53 54\n55 56\n57 58\n59 60\n61 62\n63 64\n65 66\n67 68\n69 70\n71 72\n73 74\n75 76\n77 78\n79 80\n81 82\n83 84\n85 86\n87 88\n89 90\n91 92\n93 94\n95 96\n97 98\n99 100\n101 102\n103 104\n105 106\n107 108\n109 110\n111 112\n113 114\n115 116\n117 118\n119 120\n121 122\n123 124\n125 126\n127 128\n129 130\n131 132\n133 134\n135 136\n137 138\n139 140\n141 142\n143 144\n145 146\n147 148\n149 150\n151 152\n153 154\n155 156\n157 158\n159 160\n161 162\n163 164\n165 166\n167 168\n169 170\n171 172\n173 174\n175 176\n177 178\n179 180\n181 182\n183 184\n185 186\n187 188\n189 190\n191 192\n193 194\n195 196\n197 198\n199 200\n201 202\n203 204\n205 206\n207 208\n209 210\n211 212\n213 214\n215 216\n217 218\n219 220\n221 222\n223 224\n225 226\n227 228\n229 230\n231 232\n233 234\n235 236\n237 238\n239 240\n241 242\n243 244\n245 246\n247 248\n249 250\n251 252\n253 254\n255 256\n257 258\n259 260\n261 262\n263 264\n265 266\n267 268\n269 270\n271 272\n273 274\n275 276\n277 278\n279 280\n281 282\n283 284\n285 286\n287 288\n289 290\n291 292\n293 294\n295 296\n297 298\n299 300\n301 302\n303 304\n305 306\n307 308\n309 310\n311 312\n313 314\n315 316\n317 318\n319 320\n321 322\n323 324\n325 326\n327 328\n329 330\n331 332\n333 334\n335 336\n337 338\n339 340\n341 342\n343 344\n345 346\n347 348\n349 350\n351 352\n353 354\n355 356\n357 358\n359 360\n361 362\n363 364\n365 366\n367 368\n369 370\n371 372\n373 374\n375 376\n377 378\n379 380\n381 382\n383 384\n385 386\n387 388\n389 390\n391 392\n393 394\n395 396\n397 398\n399 400\n401 402\n403 404\n405 406\n407 408\n409 410\n411 412\n413 414\n415 416\n417 418\n419 420\n421 422\n423 424\n425 426\n427 428\n429 430\n431 432\n433 434\n435 436\n437 438\n439 440\n441 442\n443 444\n445 446\n447 448\n449 450\n451 452\n453 454\n455 456\n457 458\n459 460\n461 462\n463 464\n465 466\n467 468\n469 470\n471 472\n473 474\n475 476\n477 478\n479 480\n481 482\n483 484\n485 486\n487 488\n489 490\n491 492\n493 494\n495 496\n497 498\n499 500\n501 502\n503 504\n505 506\n507 508\n509 510\n511 512\n513 514\n515 516\n517 518\n519 520\n521 522\n523 524\n525 526\n527 528\n529 530\n531 532\n533 534\n535 536\n537 538\n539 540\n541 542\n543 544\n545 546\n547 548\n549 550\n551 552\n553 554\n555 556\n557 558\n559 560\n561 562\n563 564\n565 566\n567 568\n569 570\n571 572\n573 574\n575 576\n577 578\n579 580\n581 582\n583 584\n585 586\n587 588\n589 590\n591 592\n593 594\n595 596\n597 598\n599 600\n601 602\n603 604\n605 606\n607 608\n609 610\n611 612\n613 614\n615 616\n617 618\n619 620\n621 622\n623 624\n625 626\n627 628\n629 630\n631 632\n633 634\n635 636\n637 638\n639 640\n641 642\n643 644\n645 646\n647 648\n649 650\n651 652\n653 654\n655 656\n657 658\n659 660\n661 662\n663 664\n665 666\n667 668\n669 670\n671 672\n673 674\n675 676\n677 678\n679 680\n681 682\n683 684\n685 686\n687 688\n689 690\n691 692\n693 694\n695 696\n697 698\n699 700\n701 702\n703 704\n705 706\n707 708\n709 710\n711 712\n713 714\n715 716\n717 718\n719 720\n721 722\n723 724\n725 726\n727 728\n729 730\n731 732\n733 734\n735 736\n737 738\n739 740\n741 742\n743 744\n745 746\n747 748\n749 750\n751 752\n753 754\n755 756\n757 758\n759 760\n761 762\n763 764\n765 766\n767 768\n769 770\n771 772\n773 774\n775 776\n777 778\n779 780\n781 782\n783 784\n785 786\n787 788\n789 790\n791 792\n793 794\n795 796\n797 798\n799 800\n801 802\n803 804\n805 806\n807 808\n809 810\n811 812\n813 814\n815 816\n817 818\n819 820\n821 822\n823 824\n825 826\n827 828\n829 830\n831 832\n833 834\n835 836\n837 838\n839 840\n841 842\n843 844\n845 846\n847 848\n849 850\n851 852\n853 854\n855 856\n857 858\n859 860\n861 862\n863 864\n865 866\n867 868\n869 870\n871 872\n873 874\n875 876\n877 878\n879 880\n881 882\n883 884\n885 886\n887 888\n889 890\n891 892\n893 894\n895 896\n897 898\n899 900\n901 902\n903 904\n905 906\n907 908\n909 910\n911 912\n913 914\n915 916\n917 918\n919 920\n921 922\n923 924\n925 926\n927 928\n929 930\n931 932\n933 934\n935 936\n937 938\n939 940\n941 942\n943 944\n945 946\n947 948\n949 950\n951 952\n953 954\n955 956\n957 958\n959 960\n961 962\n963 964\n965 966\n967 968\n969 970\n971 972\n973 974\n975 976\n977 978\n979 980\n981 982\n983 984\n985 986\n987 988\n989 990\n991 992\n993 994\n995 996\n997 998\n", "1000\n551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 106 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 44 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 573 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551\n500\n999 1000\n1 2\n3 4\n5 6\n7 8\n9 10\n11 12\n13 14\n15 16\n17 18\n19 20\n21 22\n23 24\n25 26\n27 28\n29 30\n31 32\n33 34\n35 36\n37 38\n39 40\n41 42\n43 44\n45 46\n47 48\n49 50\n51 52\n53 54\n55 56\n57 58\n59 60\n61 62\n63 64\n65 66\n67 68\n69 70\n71 72\n73 74\n75 76\n77 78\n79 80\n81 82\n83 84\n85 86\n87 88\n89 90\n91 92\n93 94\n95 96\n97 98\n99 100\n101 102\n103 104\n105 106\n107 108\n109 110\n111 112\n113 114\n115 116\n117 118\n119 120\n121 122\n123 124\n125 126\n127 128\n129 130\n131 132\n133 134\n135 136\n137 129\n139 140\n141 142\n143 144\n145 146\n147 148\n149 150\n151 152\n153 154\n155 156\n157 158\n159 160\n161 162\n163 164\n165 166\n167 168\n169 170\n171 172\n173 174\n175 176\n177 178\n179 180\n181 182\n183 184\n185 186\n187 188\n189 190\n191 192\n193 194\n195 196\n197 198\n199 200\n201 202\n203 204\n205 206\n207 208\n209 210\n211 212\n213 214\n215 216\n217 218\n219 220\n221 222\n223 224\n225 226\n227 228\n229 230\n231 232\n233 234\n235 236\n237 238\n239 240\n241 242\n243 244\n245 246\n247 248\n249 250\n251 252\n253 254\n255 256\n257 258\n259 260\n261 262\n263 264\n265 266\n267 268\n269 270\n271 272\n273 274\n275 276\n277 278\n279 280\n281 282\n283 284\n285 286\n287 288\n289 290\n291 292\n293 294\n295 296\n297 298\n299 300\n301 302\n303 304\n305 306\n307 308\n309 310\n311 312\n313 314\n315 316\n317 318\n319 320\n321 322\n323 324\n325 326\n327 328\n329 330\n331 332\n333 334\n335 336\n337 338\n339 340\n341 342\n343 344\n345 346\n347 348\n349 350\n351 352\n353 354\n355 356\n357 358\n359 360\n361 362\n363 364\n365 366\n367 368\n369 370\n371 372\n373 374\n375 376\n377 378\n379 380\n381 382\n383 384\n385 386\n387 388\n389 390\n391 392\n393 394\n395 396\n397 398\n399 400\n401 402\n403 404\n405 406\n407 408\n409 410\n411 412\n413 414\n415 416\n417 418\n419 420\n421 422\n423 424\n425 426\n427 428\n429 430\n431 432\n433 434\n435 436\n437 438\n439 440\n441 442\n443 444\n445 446\n447 448\n449 450\n451 452\n453 454\n455 456\n457 458\n459 460\n461 462\n463 464\n465 466\n467 468\n469 470\n471 472\n473 474\n475 476\n477 478\n479 480\n481 482\n483 484\n485 486\n487 488\n489 490\n491 492\n493 494\n495 496\n497 498\n499 500\n501 502\n503 504\n505 506\n507 508\n509 510\n511 512\n513 514\n515 516\n517 518\n519 520\n521 522\n523 524\n525 526\n527 528\n529 530\n531 532\n533 534\n535 536\n537 538\n539 540\n541 542\n543 544\n545 546\n547 548\n549 550\n551 552\n553 554\n555 556\n557 558\n559 560\n561 562\n563 564\n565 566\n567 568\n569 570\n571 572\n573 574\n575 576\n577 578\n579 580\n581 582\n583 584\n585 586\n587 588\n589 590\n591 592\n593 594\n595 596\n597 598\n599 600\n601 602\n603 604\n605 606\n607 608\n609 610\n611 612\n613 614\n615 616\n617 618\n619 620\n621 622\n623 624\n625 626\n627 628\n629 630\n631 632\n633 634\n635 636\n637 638\n639 640\n641 642\n643 644\n645 646\n647 648\n649 650\n651 652\n653 654\n655 656\n657 658\n659 660\n661 662\n663 664\n665 666\n667 668\n669 670\n671 672\n673 674\n675 676\n677 678\n679 680\n681 682\n683 684\n685 686\n687 688\n689 690\n691 692\n693 694\n695 696\n697 698\n699 700\n701 702\n703 704\n705 706\n707 708\n709 710\n711 712\n713 714\n715 716\n717 718\n719 720\n721 722\n723 724\n725 726\n727 728\n729 730\n731 732\n733 734\n735 736\n737 738\n739 740\n741 742\n743 744\n745 746\n747 748\n749 750\n751 752\n753 754\n755 756\n757 758\n759 760\n761 762\n763 764\n765 766\n767 768\n769 770\n771 772\n773 774\n775 776\n777 778\n779 780\n781 782\n783 784\n785 786\n787 788\n789 790\n791 792\n793 794\n795 796\n797 798\n799 800\n801 802\n803 804\n805 806\n807 808\n809 810\n811 812\n813 814\n815 816\n817 818\n819 820\n821 822\n823 824\n825 826\n827 828\n829 830\n831 832\n833 834\n835 836\n837 838\n839 840\n841 842\n843 844\n845 846\n847 848\n849 850\n851 852\n853 854\n855 856\n857 858\n859 860\n861 862\n863 864\n865 866\n867 868\n869 870\n871 872\n873 874\n875 876\n877 878\n879 880\n881 882\n883 884\n885 886\n887 888\n889 890\n891 892\n893 894\n895 896\n897 898\n899 900\n901 902\n903 904\n905 906\n907 908\n909 910\n911 912\n913 914\n915 916\n917 918\n919 920\n921 922\n923 924\n925 926\n927 928\n929 930\n931 932\n933 934\n935 936\n937 938\n939 940\n941 942\n943 944\n945 946\n947 948\n949 950\n951 952\n953 954\n955 956\n957 958\n959 960\n961 962\n963 964\n965 966\n967 968\n969 970\n971 972\n973 974\n975 976\n977 978\n979 980\n981 982\n983 984\n985 986\n987 988\n989 990\n991 992\n993 994\n995 996\n997 998\n", "1000\n551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 402 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 106 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 44 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 573 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551 551\n500\n999 1000\n1 2\n3 4\n5 6\n7 8\n9 10\n11 12\n13 14\n15 16\n17 18\n19 20\n21 22\n23 24\n25 26\n27 28\n29 30\n31 32\n33 34\n35 36\n37 38\n39 40\n41 42\n43 44\n45 46\n47 48\n49 50\n51 52\n53 54\n55 56\n57 58\n59 60\n61 62\n63 64\n65 66\n67 68\n69 70\n71 72\n73 74\n75 76\n77 78\n79 80\n81 82\n83 84\n85 86\n87 88\n89 90\n91 92\n93 94\n95 96\n97 98\n99 100\n101 102\n103 104\n105 106\n107 108\n109 110\n111 112\n113 114\n115 116\n117 118\n119 120\n121 122\n123 124\n125 126\n127 128\n129 130\n131 132\n133 134\n135 136\n137 129\n139 140\n141 142\n143 144\n145 146\n147 148\n149 150\n151 152\n153 154\n155 156\n157 158\n159 160\n161 162\n163 164\n165 166\n167 168\n169 170\n171 172\n173 174\n175 176\n177 178\n179 180\n181 182\n183 184\n185 186\n187 188\n189 190\n191 192\n193 194\n195 196\n197 198\n199 200\n201 202\n203 204\n205 206\n207 208\n209 210\n211 212\n213 214\n215 216\n217 218\n219 220\n221 222\n223 224\n225 226\n227 228\n229 230\n231 232\n233 234\n235 236\n237 238\n239 240\n241 242\n243 244\n245 246\n247 248\n249 250\n251 252\n253 254\n255 256\n257 258\n259 260\n261 262\n263 264\n265 266\n267 268\n269 270\n271 272\n273 274\n275 276\n277 278\n279 280\n281 282\n283 284\n285 286\n287 288\n289 290\n291 292\n293 294\n295 296\n297 298\n299 300\n301 302\n303 304\n305 306\n307 308\n309 310\n311 312\n313 314\n315 316\n317 318\n319 320\n321 322\n323 324\n325 326\n327 328\n329 330\n331 332\n333 334\n335 336\n337 338\n339 340\n341 342\n343 344\n345 346\n347 348\n349 350\n351 352\n353 354\n355 356\n357 358\n359 360\n361 362\n363 364\n365 366\n367 368\n369 370\n371 372\n373 374\n375 376\n377 378\n379 380\n381 382\n383 384\n385 386\n387 388\n389 390\n391 392\n393 394\n395 396\n397 398\n399 400\n401 402\n403 404\n405 406\n407 408\n409 410\n411 412\n413 414\n415 416\n417 418\n419 420\n421 422\n423 424\n425 426\n427 428\n429 430\n431 432\n433 434\n435 436\n437 438\n439 440\n441 442\n443 444\n445 446\n447 448\n449 450\n451 452\n453 454\n455 456\n457 458\n459 460\n461 462\n463 464\n465 466\n467 468\n469 470\n471 472\n473 474\n475 476\n477 478\n479 480\n481 482\n483 484\n485 486\n487 488\n489 490\n491 492\n493 494\n495 496\n497 498\n499 500\n501 502\n503 504\n505 506\n507 508\n509 510\n511 512\n513 514\n515 516\n517 518\n519 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[ "1\n", "530\n", "695241507\n", "66\n", "2\n", "847620757\n", "923810382\n", "192857783\n", "596428895\n", "68\n" ]
CodeContests
Mary Thomas has a number of sheets of squared paper. Some of squares are painted either in black or some colorful color (such as red and blue) on the front side. Cutting off the unpainted part, she will have eight opened-up unit cubes. A unit cube here refers to a cube of which each face consists of one square. She is going to build those eight unit cubes with the front side exposed and then a bicube with them. A bicube is a cube of the size 2 × 2 × 2, consisting of eight unit cubes, that satisfies the following conditions: * faces of the unit cubes that comes to the inside of the bicube are all black; * each face of the bicube has a uniform colorful color; and * the faces of the bicube have colors all different. Your task is to write a program that reads the specification of a sheet of squared paper and decides whether a bicube can be built with the eight unit cubes resulting from it. Input The input contains the specification of a sheet. The first line contains two integers H and W, which denote the height and width of the sheet (3 ≤ H, W ≤ 50). Then H lines follow, each consisting of W characters. These lines show the squares on the front side of the sheet. A character represents the color of a grid: alphabets and digits ('A' to 'Z', 'a' to 'z', '0' to '9') for colorful squares, a hash ('#') for a black square, and a dot ('.') for an unpainted square. Each alphabet or digit denotes a unique color: squares have the same color if and only if they are represented by the same character. Each component of connected squares forms one opened-up cube. Squares are regarded as connected when they have a common edge; those just with a common vertex are not. Output Print "Yes" if a bicube can be built with the given sheet; "No" otherwise. Examples Input 3 40 .a....a....a....a....f....f....f....f... #bc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#be#. .#....#....#....#....#....#....#....#... Output Yes Input 3 40 .a....a....a....a....f....f....f....f... bc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#be#. .#....#....#....#....#....#....#....#... Output Yes Input 5 35 .a....a....a....a....f....f....f... bc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#. .#..f.#....#....#....#....#....#... ..e##.............................. .b#................................ Output Yes Input 3 40 .a....a....a....a....f....f....f....f... bc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#eb#. .#....#....#....#....#....#....#....#... Output No
stdin
null
5,067
1
[ "3 40\n.a....a....a....a....f....f....f....f...\nbc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#eb#.\n.#....#....#....#....#....#....#....#...\n", "3 40\n.a....a....a....a....f....f....f....f...\nbc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#be#.\n.#....#....#....#....#....#....#....#...\n", "3 40\n.a....a....a....a....f....f....f....f...\n#bc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#be#.\n.#....#....#....#....#....#....#....#...\n", "5 35\n.a....a....a....a....f....f....f...\nbc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.\n.#..f.#....#....#....#....#....#...\n..e##..............................\n.b#................................\n" ]
[ "No\n", "Yes\n", "Yes\n", "Yes\n" ]
[ "3 64\n.a....a....a....a....f....f....f....f...\nbc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#eb#.\n.#....#....#....#....#....#....#....#...\n", "3 40\n.a....a....a....a....f....f....f....f...\n.#eb#.#de#.#cd#.#bc#.#be#.#ed#.#dc#.#cb#\n.#....#....#....#....#....#....#....#...\n", "5 40\n.a....a....a....a....f....f....f....f...\nbc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#be#.\n.#....#....#....#....#....#....#....#...\n", "5 60\n.a....a....a....a....f....f....f...\nbc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.\n.#..f.#....#....#....#....#....#...\n..e##..............................\n.b#................................\n", "3 64\n.a....a....a...fa....f.........f....f...\nbc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#eb#.\n.#....#....#....#....#....#....#....#...\n", "5 40\n.a....a....a....a....f....f....f....f...\nbc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#be#.\n.#..-.#....#....#....#....#....#....#...\n", "3 40\n.a....a....a....a....f....f....f....f...\n.#eb#.#de#.#cd#.#bc#.#be#.#ed#.#dc#-#cb#\n.#....#....#....#....#....#....#....#...\n", "5 60\n.a....a....b....a....f....f....f...\nbc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.\n.#..f.#....#....#....#....#....#...\n..e##..............................\n.b#................................\n", "3 64\n.a....a....a...fa....f.........f....f...\nbc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#eb#.\n.#....#....\"....#....#....#....#....#...\n", "5 40\n.a....a....a....a....f....f....f....f...\nbc#.#cd#.#de#.#eb#.#cb#.#dc#.#ed#.#be#.\n.#..-.#....#....#....#....#-...#....#...\n" ]
[ "No\n", "Yes\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n" ]
CodeContests
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there. Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands. He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures. Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit. Constraints * 1 ≤ n ≤ 25 Input Input consists of several datasets. The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively. The end of input is represented by a case with n = 0. Output For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No" Example Input 3 2 3 3 6 1 2 3 2 3 3 5 1 2 0 Output Yes No
stdin
null
148
1
[ "3\n2 3\n3 6\n1 2\n3\n2 3\n3 5\n1 2\n0\n" ]
[ "Yes\nNo\n" ]
[ "3\n2 3\n3 6\n1 2\n3\n2 3\n3 5\n2 2\n0\n", "3\n2 3\n3 6\n2 2\n3\n3 3\n3 6\n2 2\n0\n", "3\n2 1\n3 6\n1 2\n3\n2 3\n3 5\n0 2\n0\n", "3\n2 5\n0 9\n4 1\n0\n2 0\n3 10\n2 3\n0\n", "3\n4 5\n3 8\n1 2\n0\n7 3\n3 5\n2 1\n0\n", "3\n2 3\n3 6\n1 2\n3\n0 3\n3 5\n1 2\n0\n", "3\n2 3\n3 6\n1 2\n3\n3 3\n3 5\n2 2\n0\n", "3\n2 3\n3 6\n1 2\n3\n3 3\n3 6\n2 2\n0\n", "3\n2 3\n3 8\n2 2\n3\n3 3\n3 6\n2 2\n0\n", "3\n2 3\n3 8\n2 2\n3\n3 3\n3 6\n2 3\n0\n" ]
[ "Yes\nNo\n", "No\nNo\n", "No\nYes\n", "No\n", "Yes\n", "Yes\nYes\n", "Yes\nNo\n", "Yes\nNo\n", "No\nNo\n", "No\nNo\n" ]
CodeContests
A new school in Byteland is now in the process of renewing some classrooms with new, stronger and better chairs, so that the students can stay still and pay attention to class :) However, due to budget and logistic reasons, it's only possible to carry a chair at a time to the classroom, which means that for a long time, many students will be up, waiting for their chair to arrive. The teacher, however, as she is very clever, decided to challenge her students with a problem: "Imagine that there are N students in the classroom and that there are only K chairs. In how many ways, can I choose K elements from the class to sit down, if I see them as being distinct?" Lira replied immediately with the right answer, so, the teacher decided to make the game a little funnier: "Okay Lira, as you are so fast, now I want you to tell me exactly the same thing, but, with the addition that the value of K is changing, this is, I want you to tell me the sum of the number of ways I can sit down K of you, if the value of K goes from 1 (meaning that there are no chairs in the classroom but one) to N (meaning that all of your chairs arrived). Can you be as fast now? As the answer might get large I want you to tell me the result modulo 1000000007. (10^9 + 7)" As you might have noticed, it's time for you to help Lira solving this variant of the problem. :D Input The first line of the input file contains an integer T, denoting the number of test cases on the input file. Afterwards, T lines follow, each containing an integer N, the number of students that the teacher will try to sit down as the number of chairs goes from 1 to N. Output For each test case, you should output an integer, denoting the sum of the number of ways the teacher can make N students sit down on K chairs, as K goes from 1 to N, modulo 10^9 + 7. Constraints 1 ≤ T ≤ 100 1 ≤ N ≤ 100000000   Example Input: 2 1 2 Output: 1 3
stdin
null
439
1
[ "2\n1\n2\n" ]
[ "1\n3\n" ]
[ "2\n1\n4\n", "2\n1\n8\n", "2\n1\n0\n", "2\n0\n0\n", "2\n1\n6\n", "2\n1\n1\n", "2\n2\n0\n", "2\n1\n12\n", "2\n2\n1\n", "2\n2\n2\n" ]
[ "1\n15\n", "1\n255\n", "1\n0\n", "0\n0\n", "1\n63\n", "1\n1\n", "3\n0\n", "1\n4095\n", "3\n1\n", "3\n3\n" ]
CodeContests
You are given a string S of length N consisting of `A`, `C`, `G` and `T`. Answer the following Q queries: * Query i (1 \leq i \leq Q): You will be given integers l_i and r_i (1 \leq l_i < r_i \leq N). Consider the substring of S starting at index l_i and ending at index r_i (both inclusive). In this string, how many times does `AC` occurs as a substring? Constraints * 2 \leq N \leq 10^5 * 1 \leq Q \leq 10^5 * S is a string of length N. * Each character in S is `A`, `C`, `G` or `T`. * 1 \leq l_i < r_i \leq N Input Input is given from Standard Input in the following format: N Q S l_1 r_1 : l_Q r_Q Output Print Q lines. The i-th line should contain the answer to the i-th query. Example Input 8 3 ACACTACG 3 7 2 3 1 8 Output 2 0 3
stdin
null
2,842
1
[ "8 3\nACACTACG\n3 7\n2 3\n1 8\n" ]
[ "2\n0\n3\n" ]
[ "8 3\nACACTACG\n3 7\n2 3\n1 6\n", "8 3\nGCATCACA\n3 7\n2 3\n1 8\n", "8 3\nACBCTADG\n3 7\n2 3\n1 6\n", "8 3\nACACTACG\n3 7\n2 3\n1 2\n", "8 3\nACACTACG\n3 7\n4 3\n1 2\n", "8 3\nGAATCCCA\n3 7\n3 3\n2 8\n", "8 3\nACACTADG\n3 7\n2 4\n1 6\n", "8 2\nACBCTACG\n6 7\n3 3\n1 6\n", "8 3\nACACTADG\n3 7\n2 4\n2 6\n", "8 2\nACACTACG\n3 7\n4 5\n1 2\n" ]
[ "2\n0\n2\n", "1\n0\n1\n", "0\n0\n1\n", "2\n0\n1\n", "2\n-1\n1\n", "0\n0\n0\n", "1\n1\n2\n", "1\n0\n", "1\n1\n1\n", "2\n0\n" ]
CodeContests
problem There are the following games. N characters are lined up in a vertical row. The color of these characters is red, blue, or yellow, and in the initial state, four or more characters of the same color are not lined up in a row. The player can select a character at a certain position and change it to another color. By this operation, if four or more characters of the same color are lined up in a row, those characters will disappear. When four or more characters of the same color are lined up in a row due to the disappearance of the characters, those characters also disappear, and this chain continues until there are no more places where four or more characters of the same color are lined up in a row. .. The purpose of this game is to reduce the number of characters remaining without disappearing. For example, if the color of the sixth character from the top is changed from yellow to blue in the state at the left end of the figure below, five blue characters will disappear in a row, and finally three characters will remain without disappearing. <image> Given the color sequence of N characters in the initial state, create a program that finds the minimum value M of the number of characters that remain without disappearing when the color of the character is changed in only one place. input The input consists of multiple datasets. Each dataset is given in the following format. The first line consists of only the number of characters N (1 ≤ N ≤ 10000). The following N lines contain one of 1, 2, and 3 integers, and the i + 1st line (1 ≤ i ≤ N) represents the color of the i-th character from the top in the initial state (1). Is red, 2 is blue, and 3 is yellow). When N is 0, it indicates the end of input. The number of datasets does not exceed 5. output For each dataset, output the minimum value M of the number of characters remaining without disappearing on one line. Examples Input 12 3 2 1 1 2 3 2 2 2 1 1 3 12 3 2 1 1 2 3 2 1 3 2 1 3 0 Output 3 12 Input None Output None
stdin
null
895
1
[ "12\n3\n2\n1\n1\n2\n3\n2\n2\n2\n1\n1\n3\n12\n3\n2\n1\n1\n2\n3\n2\n1\n3\n2\n1\n3\n0\n" ]
[ "3\n12\n" ]
[ "12\n3\n2\n1\n1\n2\n3\n2\n2\n2\n1\n1\n3\n12\n3\n2\n1\n1\n2\n5\n2\n1\n3\n2\n1\n3\n0\n", "12\n3\n2\n1\n1\n2\n3\n2\n2\n2\n1\n1\n3\n12\n3\n2\n2\n1\n2\n5\n2\n1\n3\n2\n1\n3\n0\n", "12\n3\n2\n1\n1\n2\n3\n2\n0\n2\n1\n1\n3\n12\n3\n2\n1\n2\n2\n5\n2\n1\n3\n2\n1\n3\n0\n", "12\n3\n2\n1\n1\n2\n3\n2\n2\n2\n1\n1\n3\n12\n2\n2\n2\n1\n2\n5\n2\n1\n3\n2\n0\n3\n0\n", "12\n3\n2\n1\n0\n2\n1\n2\n2\n2\n1\n1\n3\n12\n3\n2\n1\n1\n2\n3\n2\n1\n3\n2\n1\n3\n0\n", "12\n3\n2\n1\n1\n2\n3\n2\n1\n2\n1\n1\n3\n12\n3\n2\n1\n2\n2\n5\n2\n1\n3\n2\n1\n3\n0\n", "12\n3\n1\n1\n1\n2\n3\n2\n2\n2\n1\n1\n3\n12\n4\n2\n2\n1\n2\n5\n2\n1\n3\n2\n0\n3\n0\n", "12\n3\n2\n1\n0\n2\n0\n2\n2\n2\n0\n1\n3\n12\n5\n2\n2\n1\n2\n4\n2\n1\n3\n2\n1\n3\n0\n", "12\n3\n2\n1\n0\n2\n0\n2\n2\n2\n0\n1\n3\n12\n5\n2\n2\n2\n2\n4\n2\n1\n3\n2\n1\n3\n0\n", "12\n3\n1\n0\n1\n0\n3\n2\n2\n3\n1\n1\n3\n12\n4\n4\n2\n1\n2\n5\n2\n1\n0\n4\n0\n3\n0\n" ]
[ "3\n12\n", "3\n8\n", "12\n8\n", "3\n7\n", "7\n12\n", "8\n8\n", "2\n8\n", "7\n8\n", "7\n6\n", "12\n12\n" ]
CodeContests
Angry Birds is a mobile game of a big craze all over the world. You were convinced that it was a waste of time to play the game, so you decided to create an automatic solver. <image> You are describing a routine that optimizes the white bird's strategy to defeat a pig (enemy) by hitting an egg bomb. The white bird follows a parabolic trajectory from the initial position, and it can vertically drop egg bombs on the way. In order to make it easy to solve, the following conditions hold for the stages. * N obstacles are put on the stage. * Each obstacle is a rectangle whose sides are parallel to the coordinate axes. * The pig is put on the point (X, Y). * You can launch the white bird in any direction at an initial velocity V from the origin. * If the white bird collides with an obstacle, it becomes unable to drop egg bombs. * If the egg bomb collides with an obstacle, the egg bomb is vanished. The acceleration of gravity is 9.8 {\rm m/s^2}. Gravity exerts a force on the objects in the decreasing direction of y-coordinate. Input A dataset follows the format shown below: N V X Y L_1 B_1 R_1 T_1 ... L_N B_N R_N T_N All inputs are integer. * N: the number of obstacles * V: the initial speed of the white bird * X, Y: the position of the pig (0 \leq N \leq 50, 0 \leq V \leq 50, 0 \leq X, Y \leq 300, X \neq 0) for 1 \leq i \leq N, * L_i: the x-coordinate of the left side of the i-th obstacle * B_i: the y-coordinate of the bottom side of the i-th obstacle * R_i: the x-coordinate of the right side of the i-th obstacle * T_i: the y-coordinate of the top side of the i-th obstacle (0 \leq L_i, B_i, R_i, T_i \leq 300) It is guaranteed that the answer remains unaffected by a change of L_i, B_i, R_i and T_i in 10^{-6}. Output Yes/No You should answer whether the white bird can drop an egg bomb toward the pig. Examples Input 0 7 3 1 Output Yes Input 1 7 3 1 1 1 2 2 Output No Input 1 7 2 2 0 1 1 2 Output No
stdin
null
3,171
1
[ "0 7 3 1\n", "1 7 2 2\n0 1 1 2\n", "1 7 3 1\n1 1 2 2\n" ]
[ "Yes\n", "No\n", "No\n" ]
[ "1 4 2 2\n0 1 1 2\n", "0 7 2 1\n", "1 5 3 1\n1 1 2 2\n", "2 4 2 2\n0 1 1 2\n", "1 5 3 1\n1 1 2 4\n", "2 4 2 2\n0 2 1 2\n", "1 5 3 1\n1 1 3 4\n", "2 4 2 2\n0 2 2 2\n", "2 4 4 2\n0 2 1 2\n", "2 3 4 2\n0 2 1 2\n" ]
[ "No\n", "Yes\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n", "No\n" ]
CodeContests
Takahashi decided to go sightseeing in New York with Apple. Takahashi didn't have any particular hope for sightseeing, but due to Sachika-chan's enthusiastic invitation, he decided to go sightseeing in the "hosonogai place" as shown in the map below. <image> Google Maps-(C) 2012 Google This "horizontal place" is very elongated and can be regarded as a straight line. In addition, there is a start point at one end and a goal point at the other end, and several tourist carriages are running from the start point to the goal point. This carriage operates according to the following rules. * There are n carriages, and all carriages start from the starting point and proceed to the goal point. * The size of the carriage can be ignored in all of the following cases: * Since it is difficult to change the speed on the way, all carriages travel at a constant speed of Si (Si is an integer of 1 or more) per 1 km. * The carriages have a set departure order, and you must follow this order. However, there is no particular rule regarding the order in which you will arrive at the goal point. * Multiple carriages cannot depart from the starting point at the same time, and if one carriage departs, there must be at least one minute before the next carriage departs. * The goal point is wide enough that any number of carriages can arrive at the same time. Also, the carriage that arrives at the goal point stops there and stays at the goal point all the time. * Since the "Hoso Nagai" is very long and narrow, basically two carriages cannot be lined up in the same place. However, there are special "slightly wide areas" in m, where up to two can be lined up, allowing one carriage to overtake another. In addition, the following restrictions are satisfied for the above-mentioned "horizontal place" and "slightly wide place". * There is a straight line from the start point to the goal point, and the distance is (dist) km (dist is an integer greater than or equal to 1). * There are m "slightly wide areas" somewhere from the start point to the goal point, none of which overlap the start point and goal point. Also, each "slightly wide area" is exactly (Di) km (Di is an integer greater than or equal to 1) from the starting point. Upon hearing this, Mr. Takahashi adjusted the departure time of the carriage while observing the rules of carriage operation described above, so that the time required from the departure of the first carriage to the arrival of all the carriages was reduced. I found out that I could make it smaller. In order to know the result of Mr. Takahashi, the number of carriages n, the parameter Si regarding the speed of each carriage, the total number of "slightly wide places" existing on the "horizontal place" m, each "slightly wide place" Given the distance Di from the starting point, it's your job to write a program that finds the minimum amount of time it takes for all carriages to arrive after the first carriage departs. In addition, Sachika-chan fully enjoyed sightseeing in "Hosonagai-ko", but Takahashi-kun only muttered "It was hospitable ..." after this sightseeing. Constraints > 1 ≤ dist ≤ 100000000 (108) > 1 ≤ n ≤ 5 > 0 ≤ m ≤ 5 > 1 ≤ Si ≤ 100 > 0 <Di <dist > If i ≠ j then Di ≠ Dj > All numbers appearing in the input are integers. > * If i <j, the i-th carriage must depart at least 1 minute earlier than the j-th carriage Input The input format is as follows. > dist > n > S1 > S2 > .. > Sn > m > D1 > D2 > .. > Dm > * dist represents the distance (km) from the start point to the goal point * n represents the number of carriages departing from the starting point * Si represents the speed of the carriage, and the i-th departing carriage represents 1 km in (Si) minutes. * m represents the total number of "slightly wide areas" * Di represents the distance (km) from the starting point to each "slightly wide area". Output Output the minimum time it takes for all carriages to arrive in one line after the first carriage departs. The unit is minutes. Examples Input 100 2 1 2 0 Output 201 Input 100 2 2 1 0 Output 200 Input 100 3 2 1 1 1 50 Output 200 Input 100 4 3 1 1 3 2 40 60 Output 421
stdin
null
4,009
1
[ "100\n4\n3\n1\n1\n3\n2\n40\n60\n", "100\n2\n2\n1\n0\n", "100\n3\n2\n1\n1\n1\n50\n", "100\n2\n1\n2\n0\n" ]
[ "421\n", "200\n", "200\n", "201\n" ]
[ "100\n4\n6\n1\n1\n3\n2\n40\n60\n", "100\n3\n2\n1\n1\n1\n59\n", "100\n2\n0\n2\n0\n", "100\n2\n0\n4\n0\n", "100\n4\n6\n2\n1\n3\n2\n63\n60\n", "100\n4\n7\n2\n1\n3\n2\n63\n60\n", "100\n4\n7\n2\n1\n5\n2\n63\n68\n", "100\n4\n7\n0\n1\n5\n4\n63\n93\n", "100\n4\n6\n1\n1\n2\n2\n40\n60\n", "100\n1\n1\n2\n0\n" ]
[ "601\n", "200\n", "201\n", "401\n", "801\n", "901\n", "1101\n", "1059\n", "600\n", "100\n" ]
CodeContests
Roy has a wooden log (tree trunk) of length L units. Since the log is too heavy for him to lift, he wants to cut it into pieces. He can lift pieces of length 1 or 2 units. He wonders in how many ways can he make such pieces of the wooden log. Now Roy is too lazy, so he would also like to finish cutting with minimum number of cuts. So, for given length L, find (1) W - number of ways he can make pieces of the wooden log in lengths of 1 or 2 and (2) M - minimum number of cuts required. Input: First line of input will contain integer T, number of Test Cases Next T lines each will contain integer L, length of wooden log. Output: For each test case, print in a new line two space separated integers W and M Constraints: 1 ≤ T ≤ 10000 1 ≤ L ≤ 1000000000 (10^9) Sample Tests Explanation:SAMPLE INPUT 2 3 4 SAMPLE OUTPUT 2 1 3 1 Explanation For Sample Test #1: Two possible ways are shown in figure, out of those two in 1st way number of cuts required is minimum, just 1 cut. For Sample Test #2: Out of 3 possible ways as shown, number of cuts required is minimum in 1st way, which is 1.
stdin
null
1,841
1
[ "2 \n3 \n4\n\nSAMPLE\n" ]
[ "2 1\n3 1\n" ]
[ "19\n1\n10\n100\n1000\n10000\n100000\n1000000\n10000000\n100000000\n1000000000\n9\n99\n999\n9999\n99999\n999999\n9999999\n99999999\n883957737\n", "2 \n0 \n4\n\nSAMPLE\n", "19\n1\n10\n110\n1000\n10000\n100000\n1000000\n10000000\n100000000\n1000000000\n9\n99\n999\n9999\n99999\n999999\n9999999\n99999999\n883957737\n", "2 \n0 \n1\n\nSAMPLE\n", "19\n1\n10\n110\n1000\n10000\n100000\n1000000\n10000000\n100000000\n1000000000\n9\n99\n999\n9999\n99999\n999999\n9999999\n137770951\n883957737\n", "19\n1\n10\n110\n1000\n10000\n100000\n1000000\n10000000\n100000000\n1000000000\n9\n96\n999\n9999\n99999\n999999\n9999999\n137770951\n883957737\n", "2 \n-1 \n1\n\nSAMPLE\n", "19\n1\n10\n111\n1000\n10000\n100000\n1000000\n10000000\n100000000\n1000000000\n9\n96\n999\n9999\n99999\n999999\n9999999\n137770951\n883957737\n", "19\n1\n10\n111\n1000\n10000\n100000\n1000000\n10000000\n100000000\n1000000000\n9\n96\n999\n9999\n99999\n999999\n10663009\n137770951\n883957737\n", "2 \n-1 \n2\n\nELPMAS\n" ]
[ "1 0\n6 4\n51 49\n501 499\n5001 4999\n50001 49999\n500001 499999\n5000001 4999999\n50000001 49999999\n500000001 499999999\n5 4\n50 49\n500 499\n5000 4999\n50000 49999\n500000 499999\n5000000 4999999\n50000000 49999999\n441978869 441978868\n", "1 -1\n3 1\n", "1 0\n6 4\n56 54\n501 499\n5001 4999\n50001 49999\n500001 499999\n5000001 4999999\n50000001 49999999\n500000001 499999999\n5 4\n50 49\n500 499\n5000 4999\n50000 49999\n500000 499999\n5000000 4999999\n50000000 49999999\n441978869 441978868\n", "1 -1\n1 0\n", "1 0\n6 4\n56 54\n501 499\n5001 4999\n50001 49999\n500001 499999\n5000001 4999999\n50000001 49999999\n500000001 499999999\n5 4\n50 49\n500 499\n5000 4999\n50000 49999\n500000 499999\n5000000 4999999\n68885476 68885475\n441978869 441978868\n", "1 0\n6 4\n56 54\n501 499\n5001 4999\n50001 49999\n500001 499999\n5000001 4999999\n50000001 49999999\n500000001 499999999\n5 4\n49 47\n500 499\n5000 4999\n50000 49999\n500000 499999\n5000000 4999999\n68885476 68885475\n441978869 441978868\n", "0 -1\n1 0\n", "1 0\n6 4\n56 55\n501 499\n5001 4999\n50001 49999\n500001 499999\n5000001 4999999\n50000001 49999999\n500000001 499999999\n5 4\n49 47\n500 499\n5000 4999\n50000 49999\n500000 499999\n5000000 4999999\n68885476 68885475\n441978869 441978868\n", "1 0\n6 4\n56 55\n501 499\n5001 4999\n50001 49999\n500001 499999\n5000001 4999999\n50000001 49999999\n500000001 499999999\n5 4\n49 47\n500 499\n5000 4999\n50000 49999\n500000 499999\n5331505 5331504\n68885476 68885475\n441978869 441978868\n", "0 -1\n2 0\n" ]
CodeContests
Takahashi is locked within a building. This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered. Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1). Takahashi will use his magic to get out of the building. In one cast, he can do the following: * Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered. * Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on. His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so. It is guaranteed that Takahashi is initially at a room without an exit. Constraints * 3 ≤ H ≤ 800 * 3 ≤ W ≤ 800 * 1 ≤ K ≤ H×W * Each A_{i,j} is `#` , `.` or `S`. * There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1. Input Input is given from Standard Input in the following format: H W K A_{1,1}A_{1,2}...A_{1,W} : A_{H,1}A_{H,2}...A_{H,W} Output Print the minimum necessary number of casts. Examples Input 3 3 3 #.# #S. ### Output 1 Input 3 3 3 .# S. Output 1 Input 3 3 3 S# Output 2 Input 7 7 2 ...## S### .#.## .### Output 2
stdin
null
142
1
[ "3 3 3\n#.#\n#S.\n###\n", "3 3 3\n.#\nS.\n", "3 3 3\n\nS#\n", "7 7 2\n\n\n...##\nS###\n.#.##\n.###\n" ]
[ "1\n", "1\n", "2\n", "2\n" ]
[ "2 3 3\n.#\nS.\n", "7 8 2\n\n\n...##\n###S\n.#.##\n.###\n", "7 7 2\n\n\n##...\nS###\n.#.##\n.###\n", "2 3 3\n#.\nS.\n", "7 7 2\n\n\n##...\nS###\n##.#.\n.###\n", "2 3 3\n#.\n.S\n", "7 12 2\n\n\n##...\nS###\n##.#.\n.###\n", "7 12 2\n\n\n#$...\nS###\n##.#.\n.###\n", "7 12 2\n\n\n#$...\nS##\"\n##.#.\n.###\n", "7 12 2\n\n\n#$...\nS##\"\n$#.#.\n.###\n" ]
[ "1\n", "2\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n", "1\n" ]
CodeContests
Given are a permutation p_1, p_2, \dots, p_N of (1, 2, ..., N) and an integer K. Maroon performs the following operation for i = 1, 2, \dots, N - K + 1 in this order: * Shuffle p_i, p_{i + 1}, \dots, p_{i + K - 1} uniformly randomly. Find the expected value of the inversion number of the sequence after all the operations are performed, and print it modulo 998244353. More specifically, from the constraints of this problem, it can be proved that the expected value is always a rational number, which can be represented as an irreducible fraction \frac{P}{Q}, and that the integer R that satisfies R \times Q \equiv P \pmod{998244353}, 0 \leq R < 998244353 is uniquely determined. Print this R. Here, the inversion number of a sequence a_1, a_2, \dots, a_N is defined to be the number of ordered pairs (i, j) that satisfy i < j, a_i > a_j. Constraints * 2 \leq N \leq 200,000 * 2 \leq K \leq N * (p_1, p_2, \dots, p_N) is a permutation of (1, 2, \dots, N). * All values in input are integers. Input Input is given from Standard Input in the following format: N K p_1 p_2 ... p_N Output Print the expected value modulo 998244353. Examples Input 3 2 1 2 3 Output 1 Input 10 3 1 8 4 9 2 3 7 10 5 6 Output 164091855
stdin
null
489
1
[ "10 3\n1 8 4 9 2 3 7 10 5 6\n", "3 2\n1 2 3\n" ]
[ "164091855\n", "1\n" ]
[ "3 3\n1 2 3\n", "10 6\n1 8 4 9 2 3 7 10 5 6\n", "3 2\n2 1 3\n", "10 5\n1 8 4 9 2 3 7 10 5 6\n", "10 7\n1 8 4 9 2 3 7 10 5 6\n", "3 2\n2 3 1\n", "10 8\n1 8 4 9 2 3 7 10 5 6\n", "10 4\n1 8 4 9 2 3 7 10 5 6\n", "3 3\n1 2 2\n", "3 3\n1 2 1\n" ]
[ "499122178\n", "3081022\n", "1\n", "610446407\n", "347784862\n", "2\n", "561512471\n", "907096085\n", "499122178\n", "499122178\n" ]
CodeContests
Given an array A. Is there any subset of array A in which if we do AND of all elements of that subset then output should be in power of two (for example : 1,2,4,8,16 and so on ). Input: First line contains number of test cases T. Each test first line contains N size of array A and next line contains N space separated integers. Output: For each test case print YES if there is any subset of array A in which if we do AND of all elements of that subset then output should be in power of two else print NO. Constraints: 1 ≤ T ≤ 1000 1 ≤ N ≤ 200 0 ≤ Ai ≤ 10^9 SAMPLE INPUT 2 3 1 2 3 2 10 20SAMPLE OUTPUT YES NO
stdin
null
3,985
1
[]
[]
[ "23\n3\n7 31 127\n3\n31 127 7\n3\n7 127 31\n84\n5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190 195 200 205 210 215 220 225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300 305 310 315 320 325 330 335 340 345 350 355 360 365 370 375 380 385 390 395 400 405 410 415 420\n87\n7 14 21 28 35 42 49 56 63 70 77 84 91 98 105 112 119 126 133 140 147 154 161 168 175 182 189 196 203 210 217 224 231 238 245 252 259 266 273 280 287 294 301 308 315 322 329 336 343 350 357 364 371 378 385 392 399 406 413 420 427 434 441 448 455 462 469 476 483 490 497 504 511 518 525 532 539 546 553 560 567 574 581 588 595 602 609\n78\n9 18 27 36 45 54 63 72 81 90 99 108 117 126 135 144 153 162 171 180 189 198 207 216 225 234 243 252 261 270 279 288 297 306 315 324 333 342 351 360 369 378 387 396 405 414 423 432 441 450 459 468 477 486 495 504 513 522 531 540 549 558 567 576 585 594 603 612 621 630 639 648 657 666 675 684 693 702\n16\n11 22 33 44 55 66 77 88 99 110 121 132 143 154 165 176\n94\n13 26 39 52 65 78 91 104 117 130 143 156 169 182 195 208 221 234 247 260 273 286 299 312 325 338 351 364 377 390 403 416 429 442 455 468 481 494 507 520 533 546 559 572 585 598 611 624 637 650 663 676 689 702 715 728 741 754 767 780 793 806 819 832 845 858 871 884 897 910 923 936 949 962 975 988 1001 1014 1027 1040 1053 1066 1079 1092 1105 1118 1131 1144 1157 1170 1183 1196 1209 1222\n36\n15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240 255 270 285 300 315 330 345 360 375 390 405 420 435 450 465 480 495 510 525 540\n87\n17 34 51 68 85 102 119 136 153 170 187 204 221 238 255 272 289 306 323 340 357 374 391 408 425 442 459 476 493 510 527 544 561 578 595 612 629 646 663 680 697 714 731 748 765 782 799 816 833 850 867 884 901 918 935 952 969 986 1003 1020 1037 1054 1071 1088 1105 1122 1139 1156 1173 1190 1207 1224 1241 1258 1275 1292 1309 1326 1343 1360 1377 1394 1411 1428 1445 1462 1479\n93\n19 38 57 76 95 114 133 152 171 190 209 228 247 266 285 304 323 342 361 380 399 418 437 456 475 494 513 532 551 570 589 608 627 646 665 684 703 722 741 760 779 798 817 836 855 874 893 912 931 950 969 988 1007 1026 1045 1064 1083 1102 1121 1140 1159 1178 1197 1216 1235 1254 1273 1292 1311 1330 1349 1368 1387 1406 1425 1444 1463 1482 1501 1520 1539 1558 1577 1596 1615 1634 1653 1672 1691 1710 1729 1748 1767\n50\n21 42 63 84 105 126 147 168 189 210 231 252 273 294 315 336 357 378 399 420 441 462 483 504 525 546 567 588 609 630 651 672 693 714 735 756 777 798 819 840 861 882 903 924 945 966 987 1008 1029 1050\n22\n23 46 69 92 115 138 161 184 207 230 253 276 299 322 345 368 391 414 437 460 483 506\n63\n25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 425 450 475 500 525 550 575 600 625 650 675 700 725 750 775 800 825 850 875 900 925 950 975 1000 1025 1050 1075 1100 1125 1150 1175 1200 1225 1250 1275 1300 1325 1350 1375 1400 1425 1450 1475 1500 1525 1550 1575\n28\n27 54 81 108 135 162 189 216 243 270 297 324 351 378 405 432 459 486 513 540 567 594 621 648 675 702 729 756\n91\n29 58 87 116 145 174 203 232 261 290 319 348 377 406 435 464 493 522 551 580 609 638 667 696 725 754 783 812 841 870 899 928 957 986 1015 1044 1073 1102 1131 1160 1189 1218 1247 1276 1305 1334 1363 1392 1421 1450 1479 1508 1537 1566 1595 1624 1653 1682 1711 1740 1769 1798 1827 1856 1885 1914 1943 1972 2001 2030 2059 2088 2117 2146 2175 2204 2233 2262 2291 2320 2349 2378 2407 2436 2465 2494 2523 2552 2581 2610 2639\n60\n31 62 93 124 155 186 217 248 279 310 341 372 403 434 465 496 527 558 589 620 651 682 713 744 775 806 837 868 899 930 961 992 1023 1054 1085 1116 1147 1178 1209 1240 1271 1302 1333 1364 1395 1426 1457 1488 1519 1550 1581 1612 1643 1674 1705 1736 1767 1798 1829 1860\n64\n33 66 99 132 165 198 231 264 297 330 363 396 429 462 495 528 561 594 627 660 693 726 759 792 825 858 891 924 957 990 1023 1056 1089 1122 1155 1188 1221 1254 1287 1320 1353 1386 1419 1452 1485 1518 1551 1584 1617 1650 1683 1716 1749 1782 1815 1848 1881 1914 1947 1980 2013 2046 2079 2112\n27\n35 70 105 140 175 210 245 280 315 350 385 420 455 490 525 560 595 630 665 700 735 770 805 840 875 910 945\n41\n37 74 111 148 185 222 259 108 333 370 407 444 481 518 555 592 629 666 703 740 777 814 851 888 925 962 999 1036 1073 1110 1147 1184 1221 1258 1295 1332 1369 1406 1443 1480 1517\n27\n39 78 117 156 195 234 273 312 351 390 429 468 507 546 585 624 663 702 741 780 819 858 897 936 975 1014 1053\n73\n41 82 123 164 205 246 287 328 369 410 451 492 533 574 615 656 697 738 779 820 861 902 943 984 1025 1066 1107 1148 1189 1230 1271 1312 1353 1394 1435 1476 1517 1558 1599 1640 1681 1722 1763 1804 1845 1886 1927 1968 2009 2050 2091 2132 2173 2214 2255 2296 2337 2378 2419 2460 2501 2542 2583 2624 2665 2706 2747 2788 2829 2870 2911 2952 2993\n37\n43 86 129 172 215 258 301 344 387 430 473 516 559 602 645 688 731 774 817 860 903 946 989 1032 1075 1118 1161 1204 1247 1290 1333 1376 1419 1462 1505 1548 1591\n", "103\n5\n1 2 4 8 16\n10\n5 10 20 30 40 50 60 70 80 90\n1\n2\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 3649 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n", "3\n4\n13 5 61 125\n20\n1 2 3 5 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n5\n13 5 61 125 1\n", "103\n5\n1 2 4 8 16\n10\n5 10 20 30 40 50 60 70 80 90\n1\n2\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 1505954 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 3649 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n", "103\n5\n1 2 4 8 16\n10\n5 10 20 30 40 50 60 70 80 90\n1\n2\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 1505954 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 3649 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 418 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n", "103\n5\n1 2 4 8 16\n10\n5 10 20 30 40 50 60 70 80 90\n1\n2\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 1505954 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 3649 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 19 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 418 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n", "103\n5\n1 2 4 8 16\n10\n5 10 20 30 40 50 60 70 80 90\n1\n2\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 1505954 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 3649 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 142986760 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 19 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 418 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n", "103\n5\n1 2 4 8 16\n10\n5 10 20 30 40 50 60 70 80 90\n1\n2\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 1505954 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 2881454 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 3649 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 142986760 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 19 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 418 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 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2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n", "103\n5\n1 2 4 8 16\n10\n5 10 20 30 40 50 60 70 80 90\n1\n2\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 1505954 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 2881454 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 3649 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 142986760 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 214 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 19 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 418 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n", "103\n5\n1 2 4 8 16\n10\n5 10 20 30 40 50 60 70 80 90\n1\n2\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 1505954 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 2881454 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 3649 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 142986760 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 214 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 19 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 418 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1375070 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n26\n5 13 29 61 125 253 509 1021 2045 4093 8189 16381 32765 65533 131069 262141 524285 1048573 2097149 4194301 8388605 16777213 33554429 67108861 134217725 268435453\n" ]
[ "NO\nNO\nNO\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\n", "YES\nYES\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n", "NO\nYES\nYES\n", "YES\nYES\nYES\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n", "YES\nYES\nYES\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n", "YES\nYES\nYES\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n", "YES\nYES\nYES\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n", "YES\nYES\nYES\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n", "YES\nYES\nYES\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nYES\nNO\nYES\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n", "YES\nYES\nYES\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nYES\nNO\nYES\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n" ]
CodeContests
Takahashi has A cookies, and Aoki has B cookies. Takahashi will do the following action K times: * If Takahashi has one or more cookies, eat one of his cookies. * Otherwise, if Aoki has one or more cookies, eat one of Aoki's cookies. * If they both have no cookies, do nothing. In the end, how many cookies will Takahashi and Aoki have, respectively? Constraints * 0 \leq A \leq 10^{12} * 0 \leq B \leq 10^{12} * 0 \leq K \leq 10^{12} * All values in input are integers. Input Input is given from Standard Input in the following format: A B K Output Print the numbers of Takahashi's and Aoki's cookies after K actions. Examples Input 2 3 3 Output 0 2 Input 500000000000 500000000000 1000000000000 Output 0 0
stdin
null
1,205
1
[ "500000000000 500000000000 1000000000000\n", "2 3 3\n" ]
[ "0 0\n", "0 2\n" ]
[ "500000000000 274588616851 1000000000000\n", "2 3 1\n", "2 3 2\n", "2 3 0\n", "2 6 0\n", "4 6 0\n", "8 6 0\n", "10 6 0\n", "498881727339 49011419508 0000000100000\n", "0 6 0\n" ]
[ "0 0\n", "1 3\n", "0 3\n", "2 3\n", "2 6\n", "4 6\n", "8 6\n", "10 6\n", "498881627339 49011419508\n", "0 6\n" ]
CodeContests
C: Prayer (Pray) Some twins are famous for praying before the contest. There are four integers $ H, W, X, Y $, and it seems unlucky if $ H \ times W $ and $ x + y $ are both odd numbers. input Four integers $ H, W, X, Y $ are given, separated by spaces. output Output "No" if you are unlucky, or "Yes" if not. But don't forget the last line break. Constraint * $ H, W, X, Y $ are integers greater than or equal to $ 1 $ and less than or equal to $ 100 $ Input example 1 3 5 1 4 Output example 1 No $ 3 \ times 5 = 15 $, $ 1 + 4 = 5 $, both odd numbers, so it's unlucky. Input example 2 3 5 2 4 Output example 2 Yes $ 3 \ times 5 = 15 $ is odd, but $ 2 + 4 = 6 $ is even, so good luck isn't bad. Example Input 3 5 1 4 Output No
stdin
null
668
1
[ "3 5 1 4\n" ]
[ "No\n" ]
[ "3 5 2 4\n", "3 9 1 4\n", "3 13 1 4\n", "3 13 1 3\n", "3 13 1 1\n", "3 13 2 1\n", "3 13 3 1\n", "0 13 3 1\n", "0 13 4 1\n", "0 13 2 1\n" ]
[ "Yes\n", "No\n", "No\n", "Yes\n", "Yes\n", "No\n", "Yes\n", "Yes\n", "Yes\n", "Yes\n" ]
CodeContests
Kenkoooo found a simple connected graph. The vertices are numbered 1 through n. The i-th edge connects Vertex u_i and v_i, and has a fixed integer s_i. Kenkoooo is trying to write a positive integer in each vertex so that the following condition is satisfied: * For every edge i, the sum of the positive integers written in Vertex u_i and v_i is equal to s_i. Find the number of such ways to write positive integers in the vertices. Constraints * 2 \leq n \leq 10^5 * 1 \leq m \leq 10^5 * 1 \leq u_i < v_i \leq n * 2 \leq s_i \leq 10^9 * If i\neq j, then u_i \neq u_j or v_i \neq v_j. * The graph is connected. * All values in input are integers. Input Input is given from Standard Input in the following format: n m u_1 v_1 s_1 : u_m v_m s_m Output Print the number of ways to write positive integers in the vertices so that the condition is satisfied. Examples Input 3 3 1 2 3 2 3 5 1 3 4 Output 1 Input 4 3 1 2 6 2 3 7 3 4 5 Output 3 Input 8 7 1 2 1000000000 2 3 2 3 4 1000000000 4 5 2 5 6 1000000000 6 7 2 7 8 1000000000 Output 0
stdin
null
4,897
1
[ "4 3\n1 2 6\n2 3 7\n3 4 5\n", "3 3\n1 2 3\n2 3 5\n1 3 4\n", "8 7\n1 2 1000000000\n2 3 2\n3 4 1000000000\n4 5 2\n5 6 1000000000\n6 7 2\n7 8 1000000000\n" ]
[ "3\n", "1\n", "0\n" ]
[ "4 3\n1 2 6\n2 3 7\n3 4 7\n", "3 3\n1 2 3\n2 3 0\n1 3 4\n", "4 3\n1 2 6\n2 3 7\n3 4 3\n", "4 3\n1 2 4\n2 3 7\n3 4 7\n", "4 3\n1 2 6\n2 3 7\n3 4 6\n", "4 3\n1 2 11\n2 3 7\n3 4 3\n", "8 7\n1 2 1000000000\n2 3 2\n3 4 1000000000\n4 5 2\n5 6 1000000000\n6 7 2\n2 8 1000000000\n", "8 7\n1 2 1000000000\n2 3 2\n2 4 1000000000\n4 5 2\n5 6 1000000000\n6 7 2\n2 8 1000000000\n", "4 3\n1 2 4\n2 3 1\n3 4 7\n", "4 3\n1 2 6\n2 3 7\n3 4 2\n" ]
[ "5\n", "0\n", "1\n", "3\n", "4\n", "2\n", "0\n", "0\n", "0\n", "0\n" ]
CodeContests
Consider the following game. There are k pairs of n cards with numbers from 1 to n written one by one. Shuffle these kn cards well to make piles of k cards and arrange them in a horizontal row. The i-th (k-card) pile from the left of the n piles created in this way is called "mountain i". <image> The game starts at mountain 1. Draw the top card of the pile (the drawn card is not returned to the original pile), and if the number written on that card is i, draw the top card of the pile i Pull. In this way, draw the top card of the pile numbered by the number written on the drawn card repeatedly, and if all the piles have no cards, it is successful. If there are still piles of cards left, but there are no more piles to draw next, it is a failure. If it fails in the middle, it ends with a failure, or the remaining card pile is left as it is (the pile number is also kept as it is) and the game is restarted. When restarting the game, the first card to draw is from the leftmost pile of the remaining piles (the top card of that pile is the first card to be drawn). After resuming, proceed with the game in the same way as before resuming, and if there are no cards in all the piles, it is a success. It is a failure. <image> Such a game shall be restarted up to m times. However, m is 0 or 1. In other words, it either does not restart once or restarts only once. The initial placement of cards differs depending on how you shuffle before the game starts. Of course, depending on the initial placement of the card, it may succeed without resuming, it may resume and succeed, or it may resume and fail. Since it is shuffled enough, we assume that all initial arrangements appear with the same probability, and we want to find the probability p that the restart will succeed within m times. Express this probability p as a decimal number, and create a program that finds and outputs to the decimal place r. However, output so that the following conditions are met. * If p × 10K becomes an integer when a sufficiently large positive integer K is taken, 0 continues from the middle of the decimal part, but that 0 should also be output. For example, if p = 3/8 = 0.375, then 0.37500 is output if r = 5, and 0.37 is output if r = 2. Similarly, when p = 1.0, for example, if r = 3, output 1.000. * For example, 0.150000 ... can be expressed as a recurring decimal 0.1499999 ..., but in such a case, the former expression is used. On the first line of the input file, the integers n, k, m, and r are written in this order with a blank as the delimiter. 1 ≤ n ≤ 10000, 1 ≤ k ≤ 100, m = 0 or m = 1, 1 ≤ r ≤ 10000. Input example 1 | Input example 2 | Input example 3 --- | --- | --- | 2 1 0 5 | 3 1 1 3 | 2 2 1 3 | Output example 1 | Output example 2 | Output example 3 0.50000 | 0.833 | 1.000 | input The input consists of multiple datasets. Input ends when n, k, m, and r are all 0. The number of datasets does not exceed 5. output For each dataset, p is output on one line as specified. Example Input 2 1 0 5 3 1 1 3 2 2 1 3 0 0 0 0 Output 0.50000 0.833 1.000
stdin
null
2,019
1
[ "2 1 0 5\n3 1 1 3\n2 2 1 3\n0 0 0 0\n" ]
[ "0.50000\n0.833\n1.000\n" ]
[ "2 1 0 5\n3 1 2 3\n2 2 1 3\n0 0 0 0\n", "2 1 0 5\n3 1 2 0\n2 2 1 3\n0 0 0 0\n", "2 1 0 5\n3 1 2 6\n2 2 1 3\n0 0 0 0\n", "2 1 0 7\n3 1 0 0\n2 2 1 3\n0 0 0 0\n", "2 1 0 1\n2 1 0 0\n2 2 1 3\n0 0 0 0\n", "2 1 -1 5\n4 1 2 0\n2 2 1 3\n0 0 0 0\n", "2 1 0 1\n2 1 0 0\n2 2 1 4\n0 0 0 0\n", "2 1 0 5\n4 1 -1 1\n2 2 1 3\n0 0 0 0\n", "2 1 0 1\n2 1 -1 0\n2 2 1 4\n0 0 0 0\n", "2 1 0 1\n4 1 -1 1\n2 2 1 3\n0 0 0 0\n" ]
[ "0.50000\n0.833\n1.000\n", "0.50000\n0.\n1.000\n", "0.50000\n0.833333\n1.000\n", "0.5000000\n0.\n1.000\n", "0.5\n0.\n1.000\n", "1.00000\n0.\n1.000\n", "0.5\n0.\n1.0000\n", "0.50000\n0.7\n1.000\n", "0.5\n1.\n1.0000\n", "0.5\n0.7\n1.000\n" ]
CodeContests
At one point, there was a president who traveled around Japan to do business. One day he got a mysterious ticket. If you use the ticket, the train fare will be free regardless of the distance to the destination. However, when moving from the current station to the adjacent station is counted as one step, if the number of steps to move is not exactly equal to the number written on the ticket, an additional fee will be charged. It is forbidden to move around a section immediately, but it is permissible to go through a station or section that you have already visited multiple times. For example, you cannot move to station 1, station 2, or station 1, but there is no problem with moving to station 1, station 2, station 3, station 1, or station 2. Also, if you finally arrive at your destination, you may go through the starting point and destination as many times as you like. The president immediately decided to use this ticket to go to his next destination. However, since the route map is complicated, the route cannot be easily determined. Your job is to write a program on behalf of the president to determine if you can reach your destination for free. Stations are numbered from 1 to N, with the departure station being 1 and the destination station being N. The route map is given by the row of sections connecting the two stations. The section can pass in either direction. It is guaranteed that there is no section connecting the same stations and that there is at most one section connecting a pair of stations. Input The input consists of multiple datasets. Each dataset is given in the following format. N M Z s1 d1 s2 d2 ... sM dM N is the total number of stations, M is the total number of sections, and Z is the number of steps written on the ticket. si and di (1 ≤ i ≤ M) are integers representing station numbers, indicating that there is an interval between station si and station di, respectively. N, M, Z are positive integers and satisfy the following conditions: 2 ≤ N ≤ 50, 1 ≤ M ≤ 50, 0 <Z <231. After the last dataset, there is a line that says "` 0 0 0 `". The number of datasets does not exceed 30. Output For each dataset, output a one-line string containing only "` yes` "if the destination can be reached with just the number of steps written on the ticket, or" `no`" if not. .. Example Input 2 1 1 1 2 2 1 2 1 2 3 1 2 1 2 8 8 5778 1 2 2 3 2 4 3 5 5 6 6 7 7 8 4 8 8 8 5777 1 2 2 3 2 4 3 5 5 6 6 7 7 8 4 8 0 0 0 Output yes no no yes no
stdin
null
4,987
1
[ "2 1 1\n1 2\n2 1 2\n1 2\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0\n" ]
[ "yes\nno\nno\nyes\nno\n" ]
[ "2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0\n", "2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n11 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0\n", "4 1 1\n1 2\n2 1 2\n1 4\n2 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n0 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0\n", "2 1 1\n0 2\n2 1 2\n1 4\n3 1 2\n1 0\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 7\n6 7\n2 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0\n", "2 1 1\n2 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 0\n2 0\n1 3\n3 5\n5 6\n6 3\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n5 8\n4 8\n0 0 0\n", "2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0\n", "2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n5 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n0 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0\n", "2 1 1\n1 2\n2 1 2\n1 2\n3 1 2\n1 2\n9 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0\n", "2 1 1\n1 2\n2 1 2\n1 4\n3 1 2\n1 2\n8 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n4 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0\n", "2 1 1\n1 2\n2 1 2\n0 4\n3 1 2\n1 2\n11 8 5778\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n8 8 5777\n1 2\n2 3\n2 4\n3 5\n5 6\n6 7\n7 8\n4 8\n0 0 0\n" ]
[ "yes\nno\nno\nyes\nno\n", "yes\nno\nno\nno\nno\n", "no\nno\nno\nno\nno\n", "no\nno\nno\nyes\nno\n", "no\nno\nno\nno\nyes\n", "yes\nno\nno\nyes\nno\n", "yes\nno\nno\nyes\nno\n", "yes\nno\nno\nno\nno\n", "yes\nno\nno\nyes\nno\n", "yes\nno\nno\nno\nno\n" ]
CodeContests
Statement: Write a code to display all the non-prime numbers upto N. Input: Only the value of N. Output: The numbers which are not prime upto N (including N), each in a new line. Constraints: 1 ≤ N ≤ 10^4 SAMPLE INPUT 25 SAMPLE OUTPUT 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 Explanation In the above case, input is 25 (i.e., N=25) and the corresponding output is given alongside. Output contains only the non prime numbers upto 25.
stdin
null
1,000
1
[]
[]
[ "1660\n", "2898\n", "3167\n", "4395\n", "5575\n", "3957\n", "4220\n", "6575\n", "4206\n", "4936\n" ]
[ 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79\n1180\n1182\n1183\n1184\n1185\n1186\n1188\n1189\n1190\n1191\n1192\n1194\n1195\n1196\n1197\n1198\n1199\n1200\n1202\n1203\n1204\n1205\n1206\n1207\n1208\n1209\n1210\n1211\n1212\n1214\n1215\n1216\n1218\n1219\n1220\n1221\n1222\n1224\n1225\n1226\n1227\n1228\n1230\n1232\n1233\n1234\n1235\n1236\n1238\n1239\n1240\n1241\n1242\n1243\n1244\n1245\n1246\n1247\n1248\n1250\n1251\n1252\n1253\n1254\n1255\n1256\n1257\n1258\n1260\n1261\n1262\n1263\n1264\n1265\n1266\n1267\n1268\n1269\n1270\n1271\n1272\n1273\n1274\n1275\n1276\n1278\n1280\n1281\n1282\n1284\n1285\n1286\n1287\n1288\n1290\n1292\n1293\n1294\n1295\n1296\n1298\n1299\n1300\n1302\n1304\n1305\n1306\n1308\n1309\n1310\n1311\n1312\n1313\n1314\n1315\n1316\n1317\n1318\n1320\n1322\n1323\n1324\n1325\n1326\n1328\n1329\n1330\n1331\n1332\n1333\n1334\n1335\n1336\n1337\n1338\n1339\n1340\n1341\n1342\n1343\n1344\n1345\n1346\n1347\n1348\n1349\n1350\n1351\n1352\n1353\n1354\n1355\n1356\n1357\n1358\n1359\n1360\n1362\n1363\n1364\n1365\n1366\n1368\n1369\n1370\n1371\n1372\n1374\n1375\n1376\n1377\n1378\n1379\n1380\n1382\n1383\n1384\n1385\n1386\n1387\n1388\n1389\n1390\n1391\n1392\n1393\n1394\n1395\n1396\n1397\n1398\n1400\n1401\n1402\n1403\n1404\n1405\n1406\n1407\n1408\n1410\n1411\n1412\n1413\n1414\n1415\n1416\n1417\n1418\n1419\n1420\n1421\n1422\n1424\n1425\n1426\n1428\n1430\n1431\n1432\n1434\n1435\n1436\n1437\n1438\n1440\n1441\n1442\n1443\n1444\n1445\n1446\n1448\n1449\n1450\n1452\n1454\n1455\n1456\n1457\n1458\n1460\n1461\n1462\n1463\n1464\n1465\n1466\n1467\n1468\n1469\n1470\n1472\n1473\n1474\n1475\n1476\n1477\n1478\n1479\n1480\n1482\n1484\n1485\n1486\n1488\n1490\n1491\n1492\n1494\n1495\n1496\n1497\n1498\n1500\n1501\n1502\n1503\n1504\n1505\n1506\n1507\n1508\n1509\n1510\n1512\n1513\n1514\n1515\n1516\n1517\n1518\n1519\n1520\n1521\n1522\n1524\n1525\n1526\n1527\n1528\n1529\n1530\n1532\n1533\n1534\n1535\n1536\n1537\n1538\n1539\n1540\n1541\n1542\n1544\n1545\n1546\n1547\n1548\n1550\n1551\n1552\n1554\n1555\n1556\n1557\n1558\n1560\n1561\n1562\n1563\n1564\n1565\n1566\n1568\n1569\n1570\n1572\n1573\n1574\n1575\n1576\n1577\n1578\n1580\n1581\n1582\n1584\n1585\n1586\n1587\n1588\n1589\n1590\n1591\n1592\n1593\n1594\n1595\n1596\n1598\n1599\n1600\n1602\n1603\n1604\n1605\n1606\n1608\n1610\n1611\n1612\n1614\n1615\n1616\n1617\n1618\n1620\n1622\n1623\n1624\n1625\n1626\n1628\n1629\n1630\n1631\n1632\n1633\n1634\n1635\n1636\n1638\n1639\n1640\n1641\n1642\n1643\n1644\n1645\n1646\n1647\n1648\n1649\n1650\n1651\n1652\n1653\n1654\n1655\n1656\n1658\n1659\n1660\n", 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43\n4044\n4045\n4046\n4047\n4048\n4050\n4052\n4053\n4054\n4055\n4056\n4058\n4059\n4060\n4061\n4062\n4063\n4064\n4065\n4066\n4067\n4068\n4069\n4070\n4071\n4072\n4074\n4075\n4076\n4077\n4078\n4080\n4081\n4082\n4083\n4084\n4085\n4086\n4087\n4088\n4089\n4090\n4092\n4094\n4095\n4096\n4097\n4098\n4100\n4101\n4102\n4103\n4104\n4105\n4106\n4107\n4108\n4109\n4110\n4112\n4113\n4114\n4115\n4116\n4117\n4118\n4119\n4120\n4121\n4122\n4123\n4124\n4125\n4126\n4128\n4130\n4131\n4132\n4134\n4135\n4136\n4137\n4138\n4140\n4141\n4142\n4143\n4144\n4145\n4146\n4147\n4148\n4149\n4150\n4151\n4152\n4154\n4155\n4156\n4158\n4160\n4161\n4162\n4163\n4164\n4165\n4166\n4167\n4168\n4169\n4170\n4171\n4172\n4173\n4174\n4175\n4176\n4178\n4179\n4180\n4181\n4182\n4183\n4184\n4185\n4186\n4187\n4188\n4189\n4190\n4191\n4192\n4193\n4194\n4195\n4196\n4197\n4198\n4199\n4200\n4202\n4203\n4204\n4205\n4206\n4207\n4208\n4209\n4210\n4212\n4213\n4214\n4215\n4216\n4218\n4220\n4221\n4222\n4223\n4224\n4225\n4226\n4227\n4228\n4230\n4232\n4233\n4234\n4235\n4236\n4237\n4238\n4239\n4240\n4242\n4244\n4245\n4246\n4247\n4248\n4249\n4250\n4251\n4252\n4254\n4255\n4256\n4257\n4258\n4260\n4262\n4263\n4264\n4265\n4266\n4267\n4268\n4269\n4270\n4272\n4274\n4275\n4276\n4277\n4278\n4279\n4280\n4281\n4282\n4284\n4285\n4286\n4287\n4288\n4290\n4291\n4292\n4293\n4294\n4295\n4296\n4298\n4299\n4300\n4301\n4302\n4303\n4304\n4305\n4306\n4307\n4308\n4309\n4310\n4311\n4312\n4313\n4314\n4315\n4316\n4317\n4318\n4319\n4320\n4321\n4322\n4323\n4324\n4325\n4326\n4328\n4329\n4330\n4331\n4332\n4333\n4334\n4335\n4336\n4338\n4340\n4341\n4342\n4343\n4344\n4345\n4346\n4347\n4348\n4350\n4351\n4352\n4353\n4354\n4355\n4356\n4358\n4359\n4360\n4361\n4362\n4364\n4365\n4366\n4367\n4368\n4369\n4370\n4371\n4372\n4374\n4375\n4376\n4377\n4378\n4379\n4380\n4381\n4382\n4383\n4384\n4385\n4386\n4387\n4388\n4389\n4390\n4392\n4393\n4394\n4395\n4396\n4398\n4399\n4400\n4401\n4402\n4403\n4404\n4405\n4406\n4407\n4408\n4410\n4411\n4412\n4413\n4414\n4415\n4416\n4417\n4418\n4419\n4420\n4422\n4424\n4425\n4426\n4427\n4428\n4429\n4430\n4431\n4432\n4433\n4434\n4435\n4436\n4437\n4438\n4439\n4440\n4442\n4443\n4444\n4445\n4446\n4448\n4449\n4450\n4452\n4453\n4454\n4455\n4456\n4458\n4459\n4460\n4461\n4462\n4464\n4465\n4466\n4467\n4468\n4469\n4470\n4471\n4472\n4473\n4474\n4475\n4476\n4477\n4478\n4479\n4480\n4482\n4484\n4485\n4486\n4487\n4488\n4489\n4490\n4491\n4492\n4494\n4495\n4496\n4497\n4498\n4499\n4500\n4501\n4502\n4503\n4504\n4505\n4506\n4508\n4509\n4510\n4511\n4512\n4514\n4515\n4516\n4518\n4520\n4521\n4522\n4524\n4525\n4526\n4527\n4528\n4529\n4530\n4531\n4532\n4533\n4534\n4535\n4536\n4537\n4538\n4539\n4540\n4541\n4542\n4543\n4544\n4545\n4546\n4548\n4550\n4551\n4552\n4553\n4554\n4555\n4556\n4557\n4558\n4559\n4560\n4562\n4563\n4564\n4565\n4566\n4568\n4569\n4570\n4571\n4572\n4573\n4574\n4575\n4576\n4577\n4578\n4579\n4580\n4581\n4582\n4584\n4585\n4586\n4587\n4588\n4589\n4590\n4592\n4593\n4594\n4595\n4596\n4598\n4599\n4600\n4601\n4602\n4604\n4605\n4606\n4607\n4608\n4609\n4610\n4611\n4612\n4613\n4614\n4615\n4616\n4617\n4618\n4619\n4620\n4622\n4623\n4624\n4625\n4626\n4627\n4628\n4629\n4630\n4631\n4632\n4633\n4634\n4635\n4636\n4638\n4640\n4641\n4642\n4644\n4645\n4646\n4647\n4648\n4650\n4652\n4653\n4654\n4655\n4656\n4658\n4659\n4660\n4661\n4662\n4664\n4665\n4666\n4667\n4668\n4669\n4670\n4671\n4672\n4674\n4675\n4676\n4677\n4678\n4680\n4681\n4682\n4683\n4684\n4685\n4686\n4687\n4688\n4689\n4690\n4692\n4693\n4694\n4695\n4696\n4697\n4698\n4699\n4700\n4701\n4702\n4704\n4705\n4706\n4707\n4708\n4709\n4710\n4711\n4712\n4713\n4714\n4715\n4716\n4717\n4718\n4719\n4720\n4722\n4724\n4725\n4726\n4727\n4728\n4730\n4731\n4732\n4734\n4735\n4736\n4737\n4738\n4739\n4740\n4741\n4742\n4743\n4744\n4745\n4746\n4747\n4748\n4749\n4750\n4752\n4753\n4754\n4755\n4756\n4757\n4758\n4760\n4761\n4762\n4763\n4764\n4765\n4766\n4767\n4768\n4769\n4770\n4771\n4772\n4773\n4774\n4775\n4776\n4777\n4778\n4779\n4780\n4781\n4782\n4784\n4785\n4786\n4788\n4790\n4791\n4792\n4794\n4795\n4796\n4797\n4798\n4800\n4802\n4803\n4804\n4805\n4806\n4807\n4808\n4809\n4810\n4811\n4812\n4814\n4815\n4816\n4818\n4819\n4820\n4821\n4822\n4823\n4824\n4825\n4826\n4827\n4828\n4829\n4830\n4832\n4833\n4834\n4835\n4836\n4837\n4838\n4839\n4840\n4841\n4842\n4843\n4844\n4845\n4846\n4847\n4848\n4849\n4850\n4851\n4852\n4853\n4854\n4855\n4856\n4857\n4858\n4859\n4860\n4862\n4863\n4864\n4865\n4866\n4867\n4868\n4869\n4870\n4872\n4873\n4874\n4875\n4876\n4878\n4879\n4880\n4881\n4882\n4883\n4884\n4885\n4886\n4887\n4888\n4890\n4891\n4892\n4893\n4894\n4895\n4896\n4897\n4898\n4899\n4900\n4901\n4902\n4904\n4905\n4906\n4907\n4908\n4910\n4911\n4912\n4913\n4914\n4915\n4916\n4917\n4918\n4920\n4921\n4922\n4923\n4924\n4925\n4926\n4927\n4928\n4929\n4930\n4932\n4934\n4935\n4936\n" ]
CodeContests
Problem statement There are rectangles with vertical and horizontal lengths of h and w, and square squares with a side length of 1 are spread inside. If the upper left cell is (0,0) and the cell to the right of j below (0,0) is represented as (i, j), (i, j) is i + j. If is even, it is painted red, and if it is odd, it is painted blue. Now, the upper left vertex of (0,0) and the lower right vertex of (h − 1, w − 1) are connected by a line segment. If the length of the red part through which this line segment passes is a and the length of the blue part is b, the ratio a: b is an integer ratio. Express a: b in the simplest way (with relatively prime integers). input T h_1 \ w_1 ... h_T \ w_T One file contains T inputs. The T in the first line and the vertical and horizontal lengths h_i and w_i in the Tth input are input in the 1 + i line. Constraint * An integer * 1 ≤ T ≤ 1000 * 1 ≤ h_i, w_i ≤ 109 output Output the answer for each case separated by 1 and separated by spaces. It spans T lines in total. sample Sample input 1 3 twenty three 3 3 4 3 Sample output 1 1 1 Ten 1 1 <image> Example Input 3 2 3 3 3 4 3 Output 1 1 1 0 1 1
stdin
null
1,662
1
[ "3\n2 3\n3 3\n4 3\n" ]
[ "1 1\n1 0\n1 1\n" ]
[ "3\n1 3\n3 3\n4 3\n", "3\n2 4\n3 3\n4 3\n", "3\n2 4\n3 3\n3 3\n", "3\n1 4\n3 2\n4 3\n", "3\n2 4\n3 6\n3 3\n", "3\n2 2\n3 2\n2 3\n", "3\n4 4\n3 6\n3 3\n", "3\n2 2\n4 2\n1 3\n", "3\n1 3\n3 3\n4 4\n", "3\n1 4\n3 7\n4 3\n" ]
[ "2 1\n1 0\n1 1\n", "1 1\n1 0\n1 1\n", "1 1\n1 0\n1 0\n", "1 1\n1 1\n1 1\n", "1 1\n1 1\n1 0\n", "1 0\n1 1\n1 1\n", "1 0\n1 1\n1 0\n", "1 0\n1 1\n2 1\n", "2 1\n1 0\n1 0\n", "1 1\n11 10\n1 1\n" ]
CodeContests
You are given an integer sequence of length n, a_1, ..., a_n. Let us consider performing the following n operations on an empty sequence b. The i-th operation is as follows: 1. Append a_i to the end of b. 2. Reverse the order of the elements in b. Find the sequence b obtained after these n operations. Constraints * 1 \leq n \leq 2\times 10^5 * 0 \leq a_i \leq 10^9 * n and a_i are integers. Input Input is given from Standard Input in the following format: n a_1 a_2 ... a_n Output Print n integers in a line with spaces in between. The i-th integer should be b_i. Examples Input 4 1 2 3 4 Output 4 2 1 3 Input 3 1 2 3 Output 3 1 2 Input 1 1000000000 Output 1000000000 Input 6 0 6 7 6 7 0 Output 0 6 6 0 7 7
stdin
null
3,838
1
[ "6\n0 6 7 6 7 0\n", "4\n1 2 3 4\n", "1\n1000000000\n", "3\n1 2 3\n" ]
[ "0 6 6 0 7 7\n", "4 2 1 3\n", "1000000000\n", "3 1 2\n" ]
[ "6\n1 6 7 6 7 0\n", "4\n1 4 3 4\n", "1\n1000010000\n", "3\n2 2 3\n", "6\n1 10 7 6 7 0\n", "4\n1 4 0 4\n", "1\n1100010000\n", "3\n4 2 3\n", "6\n1 10 7 6 4 0\n", "4\n0 4 0 4\n" ]
[ "0 6 6 1 7 7\n", "4 4 1 3\n", "1000010000\n", "3 2 2\n", "0 6 10 1 7 7\n", "4 4 1 0\n", "1100010000\n", "3 4 2\n", "0 6 10 1 7 4\n", "4 4 0 0\n" ]
CodeContests
B: Dansunau www --Dance Now!- story Last lab life! Daigakuin! !! Dosanko Snow has won 9th place in the event "Master Idol World", which can be said to be the outpost of the biggest competition "Lab Life" where master idols compete. The sharp dance is ridiculed as "9th place dance", and the whole body's deciding pose is also ridiculed as "9th place stance", which causes deep emotional wounds. In the upcoming Lab Life Preliminary Qualifying, we can never take 9th place ... Dosanko Snow, who renewed his determination, refined his special skill "self-control" and headed for the battlefield. .. problem A tournament "Lab Life" will be held in which N groups of units compete. In this tournament, the three divisions of Smile Pure Cool will be played separately, and the overall ranking will be decided in descending order of the total points scored in each game. The ranking of the smile category is determined in descending order of the smile value of each unit. Similarly, in the pure / cool category, the ranking is determined in descending order of pure / cool value. The score setting according to the ranking is common to all divisions, and the unit ranked i in a division gets r_i points in that division. Here, if there are a plurality of units having the same value as the unit with the rank i, they are regarded as the same rate i rank, and the points r_i are equally obtained. More specifically, when k units are in the same ratio i position, k units get equal points r_i, and no unit gets points from r_ {i + 1} to r_ {i + k-1}. Also, the next largest unit (s) gets the score r_ {i + k}. As a specific example, consider a case where there are five units with smile values ​​of 1, 3, 2, 3, and 2, and 10, 8, 6, 4, and 2 points are obtained in descending order of rank. At this time, the 2nd and 4th units will get 10 points, the 3rd and 5th units will get 6 points, and the 1st unit will get 2 points. Unit Dosanko Snow, who participates in the Lab Life Preliminary Qualifying, thinks that "Lab Life is not a play", so he entered the tournament first and became the first unit. However, when we obtained information on the smile value, pure value, and cool value (hereinafter referred to as 3 values) of all N groups participating in the tournament, we found that their overall ranking was (equal rate) 9th. Dosanko Snow can raise any one of the three values ​​by the special skill "Self Control", but if you raise it too much, you will get tired and it will affect the main battle, so you want to make the rise value as small as possible. Dosanko Snow wants to get out of 9th place anyway, so when you raise any one of the 3 values ​​by self-control so that it will be 8th or higher at the same rate, find the minimum value that needs to be raised. Input format The input is given in the following format. N r_1 ... r_N s_1 p_1 c_1 ... s_N p_N c_N The first line is given the integer N, which represents the number of units, in one line. The second line that follows is given N integers separated by blanks. The i (1 \ leq i \ leq N) th integer represents the score r_i that can be obtained when the ranking is i in each division. Of the following Nth line, the jth line is given three integers s_j, p_j, c_j. These represent the smile value s_j, pure value p_j, and cool value c_j of the jth unit, respectively. Dosanko Snow is the first unit. Constraint * 9 \ leq N \ leq 100 * 100 \ geq r_1> ...> r_N \ geq 1 * 1 \ leq s_j, p_j, c_j \ leq 100 (1 \ leq j \ leq N) * Before self-control, Dosanko Snow was 9th (sometimes 9th, but never more than 8th) Output format By increasing any of the three values ​​by x by self-control, output the minimum x that makes Dosanko Snow 8th or higher at the same rate on one line. However, if self-control does not raise the ranking no matter how much you raise it, output "Saiko". Input example 1 9 9 8 7 6 5 4 3 2 1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 Output example 1 2 For example, if you raise the smile value by 2 by self-control, the rankings in each division of Dosanko Snow will be 7th, 9th, and 9th, respectively, and you will get 3 + 1 + 1 = 5 points. On the other hand, the ranking of the second unit in each division is 9th, 8th, and 8th, respectively, and 1 + 2 + 2 = 5 points are obtained. Since the other units get 6 points or more, these two units will be ranked 8th at the same rate, satisfying the conditions. Input example 2 9 9 8 7 6 5 4 3 2 1 1 1 1 2 6 9 6 9 2 9 2 6 3 5 8 5 8 3 8 3 5 4 7 4 7 4 7 Output example 2 Saiko No matter how much you raise the value, Dosanko Snow can only get up to 11 points, but other units can always get 14 points or more, so Dosanko Snow is immovable in 9th place. Example Input 9 9 8 7 6 5 4 3 2 1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 Output 2
stdin
null
2,029
1
[ "9\n9 8 7 6 5 4 3 2 1\n1 1 1\n2 2 2\n3 3 3\n4 4 4\n5 5 5\n6 6 6\n7 7 7\n8 8 8\n9 9 9\n" ]
[ "2\n" ]
[ "9\n9 8 7 6 5 4 3 2 1\n1 1 1\n3 2 2\n3 3 3\n4 4 4\n5 5 5\n6 6 6\n7 7 7\n8 8 8\n9 9 9\n", "9\n9 8 7 6 5 4 3 2 1\n1 1 1\n3 4 2\n3 3 3\n4 4 4\n5 5 5\n6 6 6\n7 7 7\n8 8 8\n9 9 9\n", "9\n9 8 7 6 5 4 3 2 1\n1 1 1\n2 2 2\n3 3 3\n4 4 4\n5 5 5\n5 6 6\n7 7 7\n8 8 8\n9 9 9\n", "9\n7 8 7 6 5 4 3 1 1\n1 1 1\n2 1 2\n3 3 2\n4 4 7\n5 5 5\n6 3 6\n7 7 7\n8 8 8\n9 9 9\n", "9\n9 9 7 6 5 4 3 4 1\n1 1 1\n3 4 4\n3 3 3\n4 6 4\n5 5 5\n6 6 7\n3 7 7\n8 14 8\n9 12 4\n", "9\n8 8 7 6 5 4 3 2 1\n1 1 1\n3 4 2\n3 3 6\n5 2 4\n5 5 6\n6 9 6\n7 7 7\n8 2 10\n4 9 17\n", "9\n9 8 7 6 5 4 3 2 1\n1 1 1\n3 4 2\n3 3 3\n4 0 4\n5 5 5\n6 6 6\n7 7 7\n8 8 8\n9 9 9\n", "9\n9 8 7 6 5 4 3 2 1\n1 1 1\n3 4 2\n3 3 3\n4 0 4\n5 5 5\n12 6 6\n7 7 7\n8 8 8\n9 9 9\n", "9\n9 8 7 6 5 4 3 2 1\n2 1 1\n3 4 2\n3 3 3\n4 0 4\n5 5 5\n12 6 6\n7 7 7\n8 8 8\n9 9 9\n", "9\n9 8 7 6 5 4 3 2 1\n1 1 1\n3 4 2\n3 3 3\n4 4 4\n5 5 5\n6 6 6\n7 7 7\n8 7 8\n9 9 9\n" ]
[ "3\n", "4\n", "2\n", "1\n", "6\n", "5\n", "4\n", "4\n", "3\n", "4\n" ]
CodeContests
Given a tree T with non-negative weight, find the height of each node of the tree. For each node, the height is the distance to the most distant leaf from the node. Constraints * 1 ≤ n ≤ 10,000 * 0 ≤ wi ≤ 1,000 Input n s1 t1 w1 s2 t2 w2 : sn-1 tn-1 wn-1 The first line consists of an integer n which represents the number of nodes in the tree. Every node has a unique ID from 0 to n-1 respectively. In the following n-1 lines, edges of the tree are given. si and ti represent end-points of the i-th edge (undirected) and wi represents the weight (distance) of the i-th edge. Output The output consists of n lines. Print the height of each node 0, 1, 2, ..., n-1 in order. Example Input 4 0 1 2 1 2 1 1 3 3 Output 5 3 4 5
stdin
null
4,604
1
[ "4\n0 1 2\n1 2 1\n1 3 3\n" ]
[ "5\n3\n4\n5\n" ]
[ "4\n0 2 2\n1 2 1\n1 3 3\n", "4\n0 1 2\n1 2 2\n1 3 3\n", "4\n0 1 2\n1 2 1\n2 3 3\n", "4\n0 1 2\n1 2 0\n1 3 3\n", "4\n0 2 2\n1 2 1\n2 3 3\n", "4\n0 1 2\n1 2 0\n0 3 3\n", "4\n0 1 0\n1 2 0\n1 3 3\n", "4\n0 1 2\n0 2 0\n0 3 3\n", "4\n0 1 2\n1 2 1\n1 3 0\n", "4\n0 2 2\n1 2 2\n1 3 3\n" ]
[ "6\n3\n4\n6\n", "5\n3\n5\n5\n", "6\n4\n3\n6\n", "5\n3\n3\n5\n", "5\n4\n3\n5\n", "3\n5\n5\n5\n", "3\n3\n3\n3\n", "3\n5\n3\n5\n", "3\n2\n3\n2\n", "7\n4\n5\n7\n" ]
CodeContests
You are given a permutation p_1,p_2,...,p_N consisting of 1,2,..,N. You can perform the following operation any number of times (possibly zero): Operation: Swap two adjacent elements in the permutation. You want to have p_i ≠ i for all 1≤i≤N. Find the minimum required number of operations to achieve this. Constraints * 2≤N≤10^5 * p_1,p_2,..,p_N is a permutation of 1,2,..,N. Input The input is given from Standard Input in the following format: N p_1 p_2 .. p_N Output Print the minimum required number of operations Examples Input 5 1 4 3 5 2 Output 2 Input 2 1 2 Output 1 Input 2 2 1 Output 0 Input 9 1 2 4 9 5 8 7 3 6 Output 3
stdin
null
102
1
[ "5\n1 4 3 5 2\n", "9\n1 2 4 9 5 8 7 3 6\n", "2\n1 2\n", "2\n2 1\n" ]
[ "2\n", "3\n", "1\n", "0\n" ]
[ "5\n1 4 4 5 2\n", "9\n1 2 4 9 5 8 7 6 6\n", "9\n1 2 4 9 5 8 4 6 6\n", "5\n0 4 4 5 1\n", "2\n1 0\n", "2\n1 1\n", "5\n1 4 4 5 1\n", "2\n1 -1\n", "2\n0 2\n", "9\n2 2 4 9 5 8 4 6 6\n" ]
[ "1\n", "3\n", "2\n", "0\n", "1\n", "1\n", "1\n", "1\n", "1\n", "2\n" ]
CodeContests
In this problem, we only consider strings consisting of lowercase English letters. Strings s and t are said to be isomorphic when the following conditions are satisfied: * |s| = |t| holds. * For every pair i, j, one of the following holds: * s_i = s_j and t_i = t_j. * s_i \neq s_j and t_i \neq t_j. For example, `abcac` and `zyxzx` are isomorphic, while `abcac` and `ppppp` are not. A string s is said to be in normal form when the following condition is satisfied: * For every string t that is isomorphic to s, s \leq t holds. Here \leq denotes lexicographic comparison. For example, `abcac` is in normal form, but `zyxzx` is not since it is isomorphic to `abcac`, which is lexicographically smaller than `zyxzx`. You are given an integer N. Print all strings of length N that are in normal form, in lexicographically ascending order. Constraints * 1 \leq N \leq 10 * All values in input are integers. Input Input is given from Standard Input in the following format: N Output Assume that there are K strings of length N that are in normal form: w_1, \ldots, w_K in lexicographical order. Output should be in the following format: w_1 : w_K Output Assume that there are K strings of length N that are in normal form: w_1, \ldots, w_K in lexicographical order. Output should be in the following format: w_1 : w_K Examples Input 1 Output a Input 2 Output aa ab
stdin
null
15
1
[ "1\n", "2\n" ]
[ "a\n", "aa\nab\n" ]
[ "4\n", "6\n", "3\n", "7\n", "5\n", "8\n", "4\n", "3\n", "5\n", "6\n" ]
[ "aaaa\naaab\naaba\naabb\naabc\nabaa\nabab\nabac\nabba\nabbb\nabbc\nabca\nabcb\nabcc\nabcd\n", "aaaaaa\naaaaab\naaaaba\naaaabb\naaaabc\naaabaa\naaabab\naaabac\naaabba\naaabbb\naaabbc\naaabca\naaabcb\naaabcc\naaabcd\naabaaa\naabaab\naabaac\naababa\naababb\naababc\naabaca\naabacb\naabacc\naabacd\naabbaa\naabbab\naabbac\naabbba\naabbbb\naabbbc\naabbca\naabbcb\naabbcc\naabbcd\naabcaa\naabcab\naabcac\naabcad\naabcba\naabcbb\naabcbc\naabcbd\naabcca\naabccb\naabccc\naabccd\naabcda\naabcdb\naabcdc\naabcdd\naabcde\nabaaaa\nabaaab\nabaaac\nabaaba\nabaabb\nabaabc\nabaaca\nabaacb\nabaacc\nabaacd\nababaa\nababab\nababac\nababba\nababbb\nababbc\nababca\nababcb\nababcc\nababcd\nabacaa\nabacab\nabacac\nabacad\nabacba\nabacbb\nabacbc\nabacbd\nabacca\nabaccb\nabaccc\nabaccd\nabacda\nabacdb\nabacdc\nabacdd\nabacde\nabbaaa\nabbaab\nabbaac\nabbaba\nabbabb\nabbabc\nabbaca\nabbacb\nabbacc\nabbacd\nabbbaa\nabbbab\nabbbac\nabbbba\nabbbbb\nabbbbc\nabbbca\nabbbcb\nabbbcc\nabbbcd\nabbcaa\nabbcab\nabbcac\nabbcad\nabbcba\nabbcbb\nabbcbc\nabbcbd\nabbcca\nabbccb\nabbccc\nabbccd\nabbcda\nabbcdb\nabbcdc\nabbcdd\nabbcde\nabcaaa\nabcaab\nabcaac\nabcaad\nabcaba\nabcabb\nabcabc\nabcabd\nabcaca\nabcacb\nabcacc\nabcacd\nabcada\nabcadb\nabcadc\nabcadd\nabcade\nabcbaa\nabcbab\nabcbac\nabcbad\nabcbba\nabcbbb\nabcbbc\nabcbbd\nabcbca\nabcbcb\nabcbcc\nabcbcd\nabcbda\nabcbdb\nabcbdc\nabcbdd\nabcbde\nabccaa\nabccab\nabccac\nabccad\nabccba\nabccbb\nabccbc\nabccbd\nabccca\nabcccb\nabcccc\nabcccd\nabccda\nabccdb\nabccdc\nabccdd\nabccde\nabcdaa\nabcdab\nabcdac\nabcdad\nabcdae\nabcdba\nabcdbb\nabcdbc\nabcdbd\nabcdbe\nabcdca\nabcdcb\nabcdcc\nabcdcd\nabcdce\nabcdda\nabcddb\nabcddc\nabcddd\nabcdde\nabcdea\nabcdeb\nabcdec\nabcded\nabcdee\nabcdef\n", "aaa\naab\naba\nabb\nabc\n", "aaaaaaa\naaaaaab\naaaaaba\naaaaabb\naaaaabc\naaaabaa\naaaabab\naaaabac\naaaabba\naaaabbb\naaaabbc\naaaabca\naaaabcb\naaaabcc\naaaabcd\naaabaaa\naaabaab\naaabaac\naaababa\naaababb\naaababc\naaabaca\naaabacb\naaabacc\naaabacd\naaabbaa\naaabbab\naaabbac\naaabbba\naaabbbb\naaabbbc\naaabbca\naaabbcb\naaabbcc\naaabbcd\naaabcaa\naaabcab\naaabcac\naaabcad\naaabcba\naaabcbb\naaabcbc\naaabcbd\naaabcca\naaabccb\naaabccc\naaabccd\naaabcda\naaabcdb\naaabcdc\naaabcdd\naaabcde\naabaaaa\naabaaab\naabaaac\naabaaba\naabaabb\naabaabc\naabaaca\naabaacb\naabaacc\naabaacd\naababaa\naababab\naababac\naababba\naababbb\naababbc\naababca\naababcb\naababcc\naababcd\naabacaa\naabacab\naabacac\naabacad\naabacba\naabacbb\naabacbc\naabacbd\naabacca\naabaccb\naabaccc\naabaccd\naabacda\naabacdb\naabacdc\naabacdd\naabacde\naabbaaa\naabbaab\naabbaac\naabbaba\naabbabb\naabbabc\naabbaca\naabbacb\naabbacc\naabbacd\naabbbaa\naabbbab\naabbbac\naabbbba\naabbbbb\naabbbbc\naabbbca\naabbbcb\naabbbcc\naabbbcd\naabbcaa\naabbcab\naabbcac\naabbcad\naabbcba\naabbcbb\naabbcbc\naabbcbd\naabbcca\naabbccb\naabbccc\naabbccd\naabbcda\naabbcdb\naabbcdc\naabbcdd\naabbcde\naabcaaa\naabcaab\naabcaac\naabcaad\naabcaba\naabcabb\naabcabc\naabcabd\naabcaca\naabcacb\naabcacc\naabcacd\naabcada\naabcadb\naabcadc\naabcadd\naabcade\naabcbaa\naabcbab\naabcbac\naabcbad\naabcbba\naabcbbb\naabcbbc\naabcbbd\naabcbca\naabcbcb\naabcbcc\naabcbcd\naabcbda\naabcbdb\naabcbdc\naabcbdd\naabcbde\naabccaa\naabccab\naabccac\naabccad\naabccba\naabccbb\naabccbc\naabccbd\naabccca\naabcccb\naabcccc\naabcccd\naabccda\naabccdb\naabccdc\naabccdd\naabccde\naabcdaa\naabcdab\naabcdac\naabcdad\naabcdae\naabcdba\naabcdbb\naabcdbc\naabcdbd\naabcdbe\naabcdca\naabcdcb\naabcdcc\naabcdcd\naabcdce\naabcdda\naabcddb\naabcddc\naabcddd\naabcdde\naabcdea\naabcdeb\naabcdec\naabcded\naabcdee\naabcdef\nabaaaaa\nabaaaab\nabaaaac\nabaaaba\nabaaabb\nabaaabc\nabaaaca\nabaaacb\nabaaacc\nabaaacd\nabaabaa\nabaabab\nabaabac\nabaabba\nabaabbb\nabaabbc\nabaabca\nabaabcb\nabaabcc\nabaabcd\nabaacaa\nabaacab\nabaacac\nabaacad\nabaacba\nabaacbb\nabaacbc\nabaacbd\nabaacca\nabaaccb\nabaaccc\nabaaccd\nabaacda\nabaacdb\nabaacdc\nabaacdd\nabaacde\nababaaa\nababaab\nababaac\nabababa\nabababb\nabababc\nababaca\nababacb\nababacc\nababacd\nababbaa\nababbab\nababbac\nababbba\nababbbb\nababbbc\nababbca\nababbcb\nababbcc\nababbcd\nababcaa\nababcab\nababcac\nababcad\nababcba\nababcbb\nababcbc\nababcbd\nababcca\nababccb\nababccc\nababccd\nababcda\nababcdb\nababcdc\nababcdd\nababcde\nabacaaa\nabacaab\nabacaac\nabacaad\nabacaba\nabacabb\nabacabc\nabacabd\nabacaca\nabacacb\nabacacc\nabacacd\nabacada\nabacadb\nabacadc\nabacadd\nabacade\nabacbaa\nabacbab\nabacbac\nabacbad\nabacbba\nabacbbb\nabacbbc\nabacbbd\nabacbca\nabacbcb\nabacbcc\nabacbcd\nabacbda\nabacbdb\nabacbdc\nabacbdd\nabacbde\nabaccaa\nabaccab\nabaccac\nabaccad\nabaccba\nabaccbb\nabaccbc\nabaccbd\nabaccca\nabacccb\nabacccc\nabacccd\nabaccda\nabaccdb\nabaccdc\nabaccdd\nabaccde\nabacdaa\nabacdab\nabacdac\nabacdad\nabacdae\nabacdba\nabacdbb\nabacdbc\nabacdbd\nabacdbe\nabacdca\nabacdcb\nabacdcc\nabacdcd\nabacdce\nabacdda\nabacddb\nabacddc\nabacddd\nabacdde\nabacdea\nabacdeb\nabacdec\nabacded\nabacdee\nabacdef\nabbaaaa\nabbaaab\nabbaaac\nabbaaba\nabbaabb\nabbaabc\nabbaaca\nabbaacb\nabbaacc\nabbaacd\nabbabaa\nabbabab\nabbabac\nabbabba\nabbabbb\nabbabbc\nabbabca\nabbabcb\nabbabcc\nabbabcd\nabbacaa\nabbacab\nabbacac\nabbacad\nabbacba\nabbacbb\nabbacbc\nabbacbd\nabbacca\nabbaccb\nabbaccc\nabbaccd\nabbacda\nabbacdb\nabbacdc\nabbacdd\nabbacde\nabbbaaa\nabbbaab\nabbbaac\nabbbaba\nabbbabb\nabbbabc\nabbbaca\nabbbacb\nabbbacc\nabbbacd\nabbbbaa\nabbbbab\nabbbbac\nabbbbba\nabbbbbb\nabbbbbc\nabbbbca\nabbbbcb\nabbbbcc\nabbbbcd\nabbbcaa\nabbbcab\nabbbcac\nabbbcad\nabbbcba\nabbbcbb\nabbbcbc\nabbbcbd\nabbbcca\nabbbccb\nabbbccc\nabbbccd\nabbbcda\nabbbcdb\nabbbcdc\nabbbcdd\nabbbcde\nabbcaaa\nabbcaab\nabbcaac\nabbcaad\nabbcaba\nabbcabb\nabbcabc\nabbcabd\nabbcaca\nabbcacb\nabbcacc\nabbcacd\nabbcada\nabbcadb\nabbcadc\nabbcadd\nabbcade\nabbcbaa\nabbcbab\nabbcbac\nabbcbad\nabbcbba\nabbcbbb\nabbcbbc\nabbcbbd\nabbcbca\nabbcbcb\nabbcbcc\nabbcbcd\nabbcbda\nabbcbdb\nabbcbdc\nabbcbdd\nabbcbde\nabbccaa\nabbccab\nabbccac\nabbccad\nabbccba\nabbccbb\nabbccbc\nabbccbd\nabbccca\nabbcccb\nabbcccc\nabbcccd\nabbccda\nabbccdb\nabbccdc\nabbccdd\nabbccde\nabbcdaa\nabbcdab\nabbcdac\nabbcdad\nabbcdae\nabbcdba\nabbcdbb\nabbcdbc\nabbcdbd\nabbcdbe\nabbcdca\nabbcdcb\nabbcdcc\nabbcdcd\nabbcdce\nabbcdda\nabbcddb\nabbcddc\nabbcddd\nabbcdde\nabbcdea\nabbcdeb\nabbcdec\nabbcded\nabbcdee\nabbcdef\nabcaaaa\nabcaaab\nabcaaac\nabcaaad\nabcaaba\nabcaabb\nabcaabc\nabcaabd\nabcaaca\nabcaacb\nabcaacc\nabcaacd\nabcaada\nabcaadb\nabcaadc\nabcaadd\nabcaade\nabcabaa\nabcabab\nabcabac\nabcabad\nabcabba\nabcabbb\nabcabbc\nabcabbd\nabcabca\nabcabcb\nabcabcc\nabcabcd\nabcabda\nabcabdb\nabcabdc\nabcabdd\nabcabde\nabcacaa\nabcacab\nabcacac\nabcacad\nabcacba\nabcacbb\nabcacbc\nabcacbd\nabcacca\nabcaccb\nabcaccc\nabcaccd\nabcacda\nabcacdb\nabcacdc\nabcacdd\nabca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"aaaaa\naaaab\naaaba\naaabb\naaabc\naabaa\naabab\naabac\naabba\naabbb\naabbc\naabca\naabcb\naabcc\naabcd\nabaaa\nabaab\nabaac\nababa\nababb\nababc\nabaca\nabacb\nabacc\nabacd\nabbaa\nabbab\nabbac\nabbba\nabbbb\nabbbc\nabbca\nabbcb\nabbcc\nabbcd\nabcaa\nabcab\nabcac\nabcad\nabcba\nabcbb\nabcbc\nabcbd\nabcca\nabccb\nabccc\nabccd\nabcda\nabcdb\nabcdc\nabcdd\nabcde\n", 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nabcdbadd\nabcdbade\nabcdbaea\nabcdbaeb\nabcdbaec\nabcdbaed\nabcdbaee\nabcdbaef\nabcdbbaa\nabcdbbab\nabcdbbac\nabcdbbad\nabcdbbae\nabcdbbba\nabcdbbbb\nabcdbbbc\nabcdbbbd\nabcdbbbe\nabcdbbca\nabcdbbcb\nabcdbbcc\nabcdbbcd\nabcdbbce\nabcdbbda\nabcdbbdb\nabcdbbdc\nabcdbbdd\nabcdbbde\nabcdbbea\nabcdbbeb\nabcdbbec\nabcdbbed\nabcdbbee\nabcdbbef\nabcdbcaa\nabcdbcab\nabcdbcac\nabcdbcad\nabcdbcae\nabcdbcba\nabcdbcbb\nabcdbcbc\nabcdbcbd\nabcdbcbe\nabcdbcca\nabcdbccb\nabcdbccc\nabcdbccd\nabcdbcce\nabcdbcda\nabcdbcdb\nabcdbcdc\nabcdbcdd\nabcdbcde\nabcdbcea\nabcdbceb\nabcdbcec\nabcdbced\nabcdbcee\nabcdbcef\nabcdbdaa\nabcdbdab\nabcdbdac\nabcdbdad\nabcdbdae\nabcdbdba\nabcdbdbb\nabcdbdbc\nabcdbdbd\nabcdbdbe\nabcdbdca\nabcdbdcb\nabcdbdcc\nabcdbdcd\nabcdbdce\nabcdbdda\nabcdbddb\nabcdbddc\nabcdbddd\nabcdbdde\nabcdbdea\nabcdbdeb\nabcdbdec\nabcdbded\nabcdbdee\nabcdbdef\nabcdbeaa\nabcdbeab\nabcdbeac\nabcdbead\nabcdbeae\nabcdbeaf\nabcdbeba\nabcdbebb\nabcdbebc\nabcdbebd\nabcdbebe\nabcdbebf\nabcdbeca\nabcdbecb\nabcdbecc\nabcdbecd\nabcdbece\nabcdbecf\nabcdbeda\nabcdbedb\nabcdbedc\nabcdbedd\nabcdbede\nabcdbedf\nabcdbeea\nabcdbeeb\nabcdbeec\nabcdbeed\nabcdbeee\nabcdbeef\nabcdbefa\nabcdbefb\nabcdbefc\nabcdbefd\nabcdbefe\nabcdbeff\nabcdbefg\nabcdcaaa\nabcdcaab\nabcdcaac\nabcdcaad\nabcdcaae\nabcdcaba\nabcdcabb\nabcdcabc\nabcdcabd\nabcdcabe\nabcdcaca\nabcdcacb\nabcdcacc\nabcdcacd\nabcdcace\nabcdcada\nabcdcadb\nabcdcadc\nabcdcadd\nabcdcade\nabcdcaea\nabcdcaeb\nabcdcaec\nabcdcaed\nabcdcaee\nabcdcaef\nabcdcbaa\nabcdcbab\nabcdcbac\nabcdcbad\nabcdcbae\nabcdcbba\nabcdcbbb\nabcdcbbc\nabcdcbbd\nabcdcbbe\nabcdcbca\nabcdcbcb\nabcdcbcc\nabcdcbcd\nabcdcbce\nabcdcbda\nabcdcbdb\nabcdcbdc\nabcdcbdd\nabcdcbde\nabcdcbea\nabcdcbeb\nabcdcbec\nabcdcbed\nabcdcbee\nabcdcbef\nabcdccaa\nabcdccab\nabcdccac\nabcdccad\nabcdccae\nabcdccba\nabcdccbb\nabcdccbc\nabcdccbd\nabcdccbe\nabcdccca\nabcdcccb\nabcdcccc\nabcdcccd\nabcdccce\nabcdccda\nabcdccdb\nabcdccdc\nabcdccdd\nabcdccde\nabcdccea\nabcdcceb\nabcdccec\nabcdcced\nabcdccee\nabcdccef\nabcdcdaa\nabcdcdab\nabcdcdac\nabcdcdad\nabcdcdae\nabcdcdba\nabcdcdbb\nabcdcdbc\nabcdcdbd\nabcdcdbe\nabcdcdca\nabcdcdcb\nabcdcdcc\nabcdcdcd\nabcdcdce\nabcdcdda\nabcdcddb\nabcdcddc\nabcdcddd\nabcdcdde\nabcdcdea\nabcdcdeb\nabcdcdec\nabcdcded\nabcdcdee\nabcdcdef\nabcdceaa\nabcdceab\nabcdceac\nabcdcead\nabcdceae\nabcdceaf\nabcdceba\nabcdcebb\nabcdcebc\nabcdcebd\nabcdcebe\nabcdcebf\nabcdceca\nabcdcecb\nabcdcecc\nabcdcecd\nabcdcece\nabcdcecf\nabcdceda\nabcdcedb\nabcdcedc\nabcdcedd\nabcdcede\nabcdcedf\nabcdceea\nabcdceeb\nabcdceec\nabcdceed\nabcdceee\nabcdceef\nabcdcefa\nabcdcefb\nabcdcefc\nabcdcefd\nabcdcefe\nabcdceff\nabcdcefg\nabcddaaa\nabcddaab\nabcddaac\nabcddaad\nabcddaae\nabcddaba\nabcddabb\nabcddabc\nabcddabd\nabcddabe\nabcddaca\nabcddacb\nabcddacc\nabcddacd\nabcddace\nabcddada\nabcddadb\nabcddadc\nabcddadd\nabcddade\nabcddaea\nabcddaeb\nabcddaec\nabcddaed\nabcddaee\nabcddaef\nabcddbaa\nabcddbab\nabcddbac\nabcddbad\nabcddbae\nabcddbba\nabcddbbb\nabcddbbc\nabcddbbd\nabcddbbe\nabcddbca\nabcddbcb\nabcddbcc\nabcddbcd\nabcddbce\nabcddbda\nabcddbdb\nabcddbdc\nabcddbdd\nabcddbde\nabcddbea\nabcddbeb\nabcddbec\nabcddbed\nabcddbee\nabcddbef\nabcddcaa\nabcddcab\nabcddcac\nabcddcad\nabcddcae\nabcddcba\nabcddcbb\nabcddcbc\nabcddcbd\nabcddcbe\nabcddcca\nabcddccb\nabcddccc\nabcddccd\nabcddcce\nabcddcda\nabcddcdb\nabcddcdc\nabcddcdd\nabcddcde\nabcddcea\nabcddceb\nabcddcec\nabcddced\nabcddcee\nabcddcef\nabcdddaa\nabcdddab\nabcdddac\nabcdddad\nabcdddae\nabcdddba\nabcdddbb\nabcdddbc\nabcdddbd\nabcdddbe\nabcdddca\nabcdddcb\nabcdddcc\nabcdddcd\nabcdddce\nabcdddda\nabcddddb\nabcddddc\nabcddddd\nabcdddde\nabcdddea\nabcdddeb\nabcdddec\nabcddded\nabcdddee\nabcdddef\nabcddeaa\nabcddeab\nabcddeac\nabcddead\nabcddeae\nabcddeaf\nabcddeba\nabcddebb\nabcddebc\nabcddebd\nabcddebe\nabcddebf\nabcddeca\nabcddecb\nabcddecc\nabcddecd\nabcddece\nabcddecf\nabcddeda\nabcddedb\nabcddedc\nabcddedd\nabcddede\nabcddedf\nabcddeea\nabcddeeb\nabcddeec\nabcddeed\nabcddeee\nabcddeef\nabcddefa\nabcddefb\nabcddefc\nabcddefd\nabcddefe\nabcddeff\nabcddefg\nabcdeaaa\nabcdeaab\nabcdeaac\nabcdeaad\nabcdeaae\nabcdeaaf\nabcdeaba\nabcdeabb\nabcdeabc\nabcdeabd\nabcdeabe\nabcdeabf\nabcdeaca\nabcdeacb\nabcdeacc\nabcdeacd\nabcdeace\nabcdeacf\nabcdeada\nabcdeadb\nabcdeadc\nabcdeadd\nabcdeade\nabcdeadf\nabcdeaea\nabcdeaeb\nabcdeaec\nabcdeaed\nabcdeaee\nabcdeaef\nabcdeafa\nabcdeafb\nabcdeafc\nabcdeafd\nabcdeafe\nabcdeaff\nabcdeafg\nabcdebaa\nabcdebab\nabcdebac\nabcdebad\nabcdebae\nabcdebaf\nabcdebba\nabcdebbb\nabcdebbc\nabcdebbd\nabcdebbe\nabcdebbf\nabcdebca\nabcdebcb\nabcdebcc\nabcdebcd\nabcdebce\nabcdebcf\nabcdebda\nabcdebdb\nabcdebdc\nabcdebdd\nabcdebde\nabcdebdf\nabcdebea\nabcdebeb\nabcdebec\nabcdebed\nabcdebee\nabcdebef\nabcdebfa\nabcdebfb\nabcdebfc\nabcdebfd\nabcdebfe\nabcdebff\nabcdebfg\nabcdecaa\nabcdecab\nabcdecac\nabcdecad\nabcdecae\nabcdecaf\nabcdecba\nabcdecbb\nabcdecbc\nabcdecbd\nabcdecbe\nabcdecbf\nabcdecca\nabcdeccb\nabcdeccc\nabcdeccd\nabcdecce\nabcdeccf\nabcdecda\nabcdecdb\nabcdecdc\nabcdecdd\nabcdecde\nabcdecdf\nabcdecea\nabcdeceb\nabcdecec\nabcdeced\nabcdecee\nabcdecef\nabcdecfa\nabcdecfb\nabcdecfc\nabcdecfd\nabcdecfe\nabcdecff\nabcdecfg\nabcdedaa\nabcdedab\nabcdedac\nabcdedad\nabcdedae\nabcdedaf\nabcdedba\nabcdedbb\nabcdedbc\nabcdedbd\nabcdedbe\nabcdedbf\nabcdedca\nabcdedcb\nabcdedcc\nabcdedcd\nabcdedce\nabcdedcf\nabcdedda\nabcdeddb\nabcdeddc\nabcdeddd\nabcdedde\nabcdeddf\nabcdedea\nabcdedeb\nabcdedec\nabcdeded\nabcdedee\nabcdedef\nabcdedfa\nabcdedfb\nabcdedfc\nabcdedfd\nabcdedfe\nabcdedff\nabcdedfg\nabcdeeaa\nabcdeeab\nabcdeeac\nabcdeead\nabcdeeae\nabcdeeaf\nabcdeeba\nabcdeebb\nabcdeebc\nabcdeebd\nabcdeebe\nabcdeebf\nabcdeeca\nabcdeecb\nabcdeecc\nabcdeecd\nabcdeece\nabcdeecf\nabcdeeda\nabcdeedb\nabcdeedc\nabcdeedd\nabcdeede\nabcdeedf\nabcdeeea\nabcdeeeb\nabcdeeec\nabcdeeed\nabcdeeee\nabcdeeef\nabcdeefa\nabcdeefb\nabcdeefc\nabcdeefd\nabcdeefe\nabcdeeff\nabcdeefg\nabcdefaa\nabcdefab\nabcdefac\nabcdefad\nabcdefae\nabcdefaf\nabcdefag\nabcdefba\nabcdefbb\nabcdefbc\nabcdefbd\nabcdefbe\nabcdefbf\nabcdefbg\nabcdefca\nabcdefcb\nabcdefcc\nabcdefcd\nabcdefce\nabcdefcf\nabcdefcg\nabcdefda\nabcdefdb\nabcdefdc\nabcdefdd\nabcdefde\nabcdefdf\nabcdefdg\nabcdefea\nabcdefeb\nabcdefec\nabcdefed\nabcdefee\nabcdefef\nabcdefeg\nabcdeffa\nabcdeffb\nabcdeffc\nabcdeffd\nabcdeffe\nabcdefff\nabcdeffg\nabcdefga\nabcdefgb\nabcdefgc\nabcdefgd\nabcdefge\nabcdefgf\nabcdefgg\nabcdefgh\n", "aaaa\naaab\naaba\naabb\naabc\nabaa\nabab\nabac\nabba\nabbb\nabbc\nabca\nabcb\nabcc\nabcd\n", "aaa\naab\naba\nabb\nabc\n", "aaaaa\naaaab\naaaba\naaabb\naaabc\naabaa\naabab\naabac\naabba\naabbb\naabbc\naabca\naabcb\naabcc\naabcd\nabaaa\nabaab\nabaac\nababa\nababb\nababc\nabaca\nabacb\nabacc\nabacd\nabbaa\nabbab\nabbac\nabbba\nabbbb\nabbbc\nabbca\nabbcb\nabbcc\nabbcd\nabcaa\nabcab\nabcac\nabcad\nabcba\nabcbb\nabcbc\nabcbd\nabcca\nabccb\nabccc\nabccd\nabcda\nabcdb\nabcdc\nabcdd\nabcde\n", "aaaaaa\naaaaab\naaaaba\naaaabb\naaaabc\naaabaa\naaabab\naaabac\naaabba\naaabbb\naaabbc\naaabca\naaabcb\naaabcc\naaabcd\naabaaa\naabaab\naabaac\naababa\naababb\naababc\naabaca\naabacb\naabacc\naabacd\naabbaa\naabbab\naabbac\naabbba\naabbbb\naabbbc\naabbca\naabbcb\naabbcc\naabbcd\naabcaa\naabcab\naabcac\naabcad\naabcba\naabcbb\naabcbc\naabcbd\naabcca\naabccb\naabccc\naabccd\naabcda\naabcdb\naabcdc\naabcdd\naabcde\nabaaaa\nabaaab\nabaaac\nabaaba\nabaabb\nabaabc\nabaaca\nabaacb\nabaacc\nabaacd\nababaa\nababab\nababac\nababba\nababbb\nababbc\nababca\nababcb\nababcc\nababcd\nabacaa\nabacab\nabacac\nabacad\nabacba\nabacbb\nabacbc\nabacbd\nabacca\nabaccb\nabaccc\nabaccd\nabacda\nabacdb\nabacdc\nabacdd\nabacde\nabbaaa\nabbaab\nabbaac\nabbaba\nabbabb\nabbabc\nabbaca\nabbacb\nabbacc\nabbacd\nabbbaa\nabbbab\nabbbac\nabbbba\nabbbbb\nabbbbc\nabbbca\nabbbcb\nabbbcc\nabbbcd\nabbcaa\nabbcab\nabbcac\nabbcad\nabbcba\nabbcbb\nabbcbc\nabbcbd\nabbcca\nabbccb\nabbccc\nabbccd\nabbcda\nabbcdb\nabbcdc\nabbcdd\nabbcde\nabcaaa\nabcaab\nabcaac\nabcaad\nabcaba\nabcabb\nabcabc\nabcabd\nabcaca\nabcacb\nabcacc\nabcacd\nabcada\nabcadb\nabcadc\nabcadd\nabcade\nabcbaa\nabcbab\nabcbac\nabcbad\nabcbba\nabcbbb\nabcbbc\nabcbbd\nabcbca\nabcbcb\nabcbcc\nabcbcd\nabcbda\nabcbdb\nabcbdc\nabcbdd\nabcbde\nabccaa\nabccab\nabccac\nabccad\nabccba\nabccbb\nabccbc\nabccbd\nabccca\nabcccb\nabcccc\nabcccd\nabccda\nabccdb\nabccdc\nabccdd\nabccde\nabcdaa\nabcdab\nabcdac\nabcdad\nabcdae\nabcdba\nabcdbb\nabcdbc\nabcdbd\nabcdbe\nabcdca\nabcdcb\nabcdcc\nabcdcd\nabcdce\nabcdda\nabcddb\nabcddc\nabcddd\nabcdde\nabcdea\nabcdeb\nabcdec\nabcded\nabcdee\nabcdef\n" ]
CodeContests
Examples Input 4 5 2 0 1 2 1 0 2 1 2 1 2 1 1 1 3 1 3 2 3 2 1 Output 6 Input Output
stdin
null
5,073
1
[ "4 5 2\n0 1 2 1\n0 2 1 2\n1 2 1 1\n1 3 1 3\n2 3 2 1\n", "\n" ]
[ "6\n", "\n" ]
[ "4 5 2\n0 0 2 1\n0 2 1 2\n1 2 1 1\n1 3 1 3\n2 3 2 1\n", "4 5 2\n0 1 2 0\n0 2 1 2\n1 2 1 1\n1 3 1 3\n2 3 2 1\n", "4 5 2\n0 1 2 0\n0 2 1 2\n1 2 2 1\n0 3 1 3\n2 3 2 1\n", "4 5 3\n0 1 2 1\n0 2 1 2\n1 2 1 1\n1 3 1 3\n2 3 2 1\n", "4 5 2\n0 1 2 0\n0 2 1 4\n1 1 1 1\n1 3 1 3\n2 3 2 1\n", "10 5 0\n0 1 2 0\n0 1 0 2\n1 3 1 1\n0 2 1 3\n2 2 2 1\n", "4 6 2\n0 1 2 0\n0 2 1 7\n1 2 1 1\n1 3 2 3\n2 3 2 4\n", "4 2 1\n0 1 1 2\n0 3 1 2\n2 2 1 1\n1 6 0 5\n2 3 2 1\n", "4 5 2\n0 0 4 1\n0 2 1 2\n1 2 1 1\n1 3 1 3\n2 3 2 1\n", "4 5 2\n0 1 2 0\n0 2 1 2\n1 2 1 1\n0 3 1 3\n2 3 2 1\n" ]
[ "-1\n", "5\n", "4\n", "10\n", "8\n", "0\n", "6\n", "2\n", "-1\n", "5\n" ]
CodeContests
International Carpenters Professionals Company (ICPC) is a top construction company with a lot of expert carpenters. What makes ICPC a top company is their original language. The syntax of the language is simply given in CFG as follows: S -> SS | (S) | )S( | ε In other words, a right parenthesis can be closed by a left parenthesis and a left parenthesis can be closed by a right parenthesis in this language. Alex, a grad student mastering linguistics, decided to study ICPC's language. As a first step of the study, he needs to judge whether a text is well-formed in the language or not. Then, he asked you, a great programmer, to write a program for the judgement. Alex's request is as follows: You have an empty string S in the beginning, and construct longer string by inserting a sequence of '(' or ')' into the string. You will receive q queries, each of which consists of three elements (p, c, n), where p is the position to insert, n is the number of characters to insert and c is either '(' or ')', the character to insert. For each query, your program should insert c repeated by n times into the p-th position of S from the beginning. Also it should output, after performing each insert operation, "Yes" if S is in the language and "No" if S is not in the language. Please help Alex to support his study, otherwise he will fail to graduate the college. Input The first line contains one integer q (1 \leq q \leq 10^5) indicating the number of queries, follows q lines of three elements, p_i, c_i, n_i, separated by a single space (1 \leq i \leq q, c_i = '(' or ')', 0 \leq p_i \leq length of S before i-th query, 1 \leq n \leq 2^{20}). It is guaranteed that all the queries in the input are valid. Output For each query, output "Yes" if S is in the language and "No" if S is not in the language. Examples Input 3 0 ( 10 10 ) 5 10 ) 5 Output No No Yes Input 3 0 ) 10 10 ( 5 10 ( 5 Output No No Yes Input 3 0 ( 10 10 ) 20 0 ( 10 Output No No Yes
stdin
null
548
1
[ "3\n0 ( 10\n10 ) 20\n0 ( 10\n", "3\n0 ( 10\n10 ) 5\n10 ) 5\n", "3\n0 ) 10\n10 ( 5\n10 ( 5\n" ]
[ "No\nNo\nYes\n", "No\nNo\nYes\n", "No\nNo\nYes\n" ]
[ "3\n0 ( 10\n10 ) 5\n10 ( 5\n", "3\n-1 ( 10\n10 ) 5\n10 ) 5\n", "3\n-1 ( 9\n10 ) 9\n20 ( 4\n", "3\n-1 ) 0\n8 ( 19\n4 ' 2\n", "3\n-2 ) 0\n7 ) 0\n4 ( 11\n", "3\n-1 ( 0\n10 ) 4\n20 ( 4\n", "3\n0 ) 0\n7 * 0\n1 ( 0\n", "3\n0 ) 10\n10 ( 5\n10 ( 7\n", "3\n-1 ( 10\n10 ) 5\n10 ( 5\n", "3\n0 ) 10\n10 ( 9\n10 ( 7\n" ]
[ "No\nNo\nNo\n", "No\nNo\nYes\n", "No\nYes\nNo\n", "Yes\nNo\nNo\n", "Yes\nYes\nNo\n", "Yes\nNo\nYes\n", "Yes\nYes\nYes\n", "No\nNo\nNo\n", "No\nNo\nNo\n", "No\nNo\nNo\n" ]
CodeContests
A 3×3 grid with a integer written in each square, is called a magic square if and only if the integers in each row, the integers in each column, and the integers in each diagonal (from the top left corner to the bottom right corner, and from the top right corner to the bottom left corner), all add up to the same sum. You are given the integers written in the following three squares in a magic square: * The integer A at the upper row and left column * The integer B at the upper row and middle column * The integer C at the middle row and middle column Determine the integers written in the remaining squares in the magic square. It can be shown that there exists a unique magic square consistent with the given information. Constraints * 0 \leq A, B, C \leq 100 Input The input is given from Standard Input in the following format: A B C Output Output the integers written in the magic square, in the following format: X_{1,1} X_{1,2} X_{1,3} X_{2,1} X_{2,2} X_{2,3} X_{3,1} X_{3,2} X_{3,3} where X_{i,j} is the integer written in the square at the i-th row and j-th column. Examples Input 8 3 5 Output 8 3 4 1 5 9 6 7 2 Input 1 1 1 Output 1 1 1 1 1 1 1 1 1
stdin
null
2,566
1
[ "8\n3\n5\n", "1\n1\n1\n" ]
[ "8 3 4\n1 5 9\n6 7 2\n", "1 1 1\n1 1 1\n1 1 1\n" ]
[ "8\n0\n5\n", "1\n0\n1\n", "8\n-1\n5\n", "1\n0\n2\n", "1\n-1\n1\n", "1\n-1\n2\n", "1\n-1\n4\n", "1\n0\n4\n", "1\n1\n2\n", "1\n-2\n2\n" ]
[ "8 0 7\n4 5 6\n3 10 2\n", "1 0 2\n2 1 0\n0 2 1\n", "8 -1 8\n5 5 5\n2 11 2\n", "1 0 5\n6 2 -2\n-1 4 3\n", "1 -1 3\n3 1 -1\n-1 3 1\n", "1 -1 6\n7 2 -3\n-2 5 3\n", "1 -1 12\n15 4 -7\n-4 9 7\n", "1 0 11\n14 4 -6\n-3 8 7\n", "1 1 4\n5 2 -1\n0 3 3\n", "1 -2 7\n8 2 -4\n-3 6 3\n" ]
CodeContests
Gorillas in Kyoto University are good at math. They are currently trying to solve problems to find the value of an expression that contains two functions, `_` , `^`. Each of these functions takes two input values. `_` function returns the smaller of the two input values and `^` function returns the larger. Gorillas know that integers in the expression are non-negative and less than or equal to 99, but can not find out the length of the expression until they read a terminal symbol `?` that represents the end of the expression. The number of characters included in each expression is less than or equal to 1000, but they do not even know this fact. Ai, a smart gorilla, noticed that she may be able to know the value of the expression even if they don't read the whole expression. For example, Assume you read the following sentence from the left. ^(41,3)? When you read the sixth character, that is, when you read the following expression, ^(41,3 you can tell the second input value of the funcion is whether 3 or an integer between 30 and 39, and the value turns out 41. Since Ai wants to solve problems earlier than other gorillas, she decided to solve the problems such that she reads as fewer characters as possible from the left. For each expression, Find the value of the expression and the minimum number of characters Ai needs to read to know the value. Constraints * 1 \leq Q \leq 200 * The number of characters each expression contains is less than or equal to 1000. Input The input consists of multiple test cases and is given from Standard Input in the following format: Q statement_1 ... statement_Q Input The input consists of multiple test cases and is given from Standard Input in the following format: Q statement_1 ... statement_Q Output Output consists of Q lines. On line i (1 \leq i \leq Q), print the value of the expression and the number of character Ai needs to read for the test case i separated by space. Examples Input 4 _(4,51)? ^(99,_(3,67))? _(0,87)? 3? Output 4 5 99 4 0 3 3 2 Input 7 _(23,^(_(22,40),4))? _(0,99)? ^(99,_(^(19,2),5))? _(^(43,20),^(30,29))? ^(_(20,3),_(50,41))? ^(_(20,3),_(3,41))? ^(_(20,3),_(4,41))? Output 22 18 0 3 99 4 30 17 41 17 3 14 4 15
stdin
null
773
1
[ "4\n_(4,51)?\n^(99,_(3,67))?\n_(0,87)?\n3?\n", "7\n_(23,^(_(22,40),4))?\n_(0,99)?\n^(99,_(^(19,2),5))?\n_(^(43,20),^(30,29))?\n^(_(20,3),_(50,41))?\n^(_(20,3),_(3,41))?\n^(_(20,3),_(4,41))?\n" ]
[ "4 5\n99 4\n0 3\n3 2\n", "22 18\n0 3\n99 4\n30 17\n41 17\n3 14\n4 15\n" ]
[ "7\n_(23,^(_(22,40),4))?\n_(0)99,?\n^(99,_(^(19,2),5))?\n_(^(43,20),^(30,29))?\n^(_(20,3),_(50,41))?\n^(_(20,3),_(3,41))?\n^(_(20,3),_(4,41))?\n", "7\n_(23,^(_(22,40),4))?\n_(0,99)?\n^(99,_(^(19,2),5))?\n_(^(43,20),^(30,29))?\n^(_(20,3),_(50,41))?\n^(_(20,3),_(3,41))?\n^(^(20,3),_(4,41))?\n", "7\n_(23,^(_(22,40),4))?\n_(0,99)?\n^(99,_(^(19,2),5))?\n_(^(43,20),^(30,29))?\n^(_(20,3),_(50,40))?\n^(_(20,3),_(3,41))?\n^(^(20,3),_(4,41))?\n", "7\n_(23,^(_(32,40),4))?\n_(0)99,?\n^(99,_(^(19,2),5))?\n_(^(53,20),^(30,29))?\n^(_(20,3),_(50,41))?\n^(_(20,3),_(3,41))?\n^(_(20,3),_(4,41()?\n", "4\n_(4,51)?\n^(99,_(3,67))?\n_(0,87)@\n3?\n", "7\n_(23,^(_(22,40),4))?\n_(0,99)?\n^(99,_(^(19,2),5))?\n_(^(43,20),^(31,29))?\n^(_(20,3),_(50,41))?\n^(_(20,3),_(3,41))?\n^(_(20,3),_(4,41))?\n", "7\n_(23,^(_(22,40),4))?\n_(0,99)?\n^(98,_(^(19,2),5))?\n_(^(43,20),^(30,29))?\n^(_(20,3),_(50,41))?\n^(_(20,3),_(3,41))?\n^(^(20,3),_(4,41))?\n", "4\n_(4,51)?\n^(99,_(3,67))?\n^(0,87)@\n3?\n", "4\n_(4,51)?\n^(99,_(3,67))?\n_(0,87)?\n2?\n", "4\n_(4,51(?\n^(99,_(3,67))?\n_(0,87)?\n1?\n" ]
[ "22 18\n0 3\n99 4\n30 17\n41 17\n3 14\n4 15\n", "22 18\n0 3\n99 4\n30 17\n41 17\n3 14\n20 14\n", "22 18\n0 3\n99 4\n30 17\n40 17\n3 14\n20 14\n", "23 14\n0 3\n99 4\n30 17\n41 17\n3 14\n4 15\n", "4 5\n99 4\n0 3\n3 2\n", "22 18\n0 3\n99 4\n31 17\n41 17\n3 14\n4 15\n", "22 18\n0 3\n98 13\n30 17\n41 17\n3 14\n20 14\n", "4 5\n99 4\n87 6\n3 2\n", "4 5\n99 4\n0 3\n2 2\n", "4 5\n99 4\n0 3\n1 2\n" ]
CodeContests
Claire is a man-eater. She's a real man-eater. She's going around with dozens of guys. She's dating all the time. And one day she found some conflicts in her date schedule. D'oh! So she needs to pick some dates and give the others up. The dates are set by hours like 13:00 to 15:00. She may have more than one date with a guy. For example, she can have dates with Adam from 10:00 to 12:00 and from 14:00 to 16:00 and with Bob from 12:00 to 13:00 and from 18:00 to 20:00. She can have these dates as long as there is no overlap of time. Time of traveling, time of make-up, trouble from love triangles, and the likes are not of her concern. Thus she can keep all the dates with Adam and Bob in the previous example. All dates are set between 6:00 and 22:00 on the same day. She wants to get the maximum amount of satisfaction in total. Each guy gives her some satisfaction if he has all scheduled dates. Let's say, for example, Adam's satisfaction is 100 and Bob's satisfaction is 200. Then, since she can make it with both guys, she can get 300 in total. Your task is to write a program to satisfy her demand. Then she could spend a few hours with you... if you really want. Input The input consists of a sequence of datasets. Each dataset has the following format: N Guy1 ... GuyN The first line of the input contains an integer N (1 ≤ N ≤ 100), the number of guys. Then there come the descriptions of guys. Each description is given in this format: M L S1 E1 ... SM EM The first line contains two integers Mi (1 ≤ Mi ≤ 16) and Li (1 ≤ Li ≤ 100,000,000), the number of dates set for the guy and the satisfaction she would get from him respectively. Then M lines follow. The i-th line contains two integers Si and Ei (6 ≤ Si < Ei ≤ 22), the starting and ending time of the i-th date. The end of input is indicated by N = 0. Output For each dataset, output in a line the maximum amount of satisfaction she can get. Example Input 2 2 100 10 12 14 16 2 200 12 13 18 20 4 1 100 6 22 1 1000 6 22 1 10000 6 22 1 100000 6 22 16 1 100000000 6 7 1 100000000 7 8 1 100000000 8 9 1 100000000 9 10 1 100000000 10 11 1 100000000 11 12 1 100000000 12 13 1 100000000 13 14 1 100000000 14 15 1 100000000 15 16 1 100000000 16 17 1 100000000 17 18 1 100000000 18 19 1 100000000 19 20 1 100000000 20 21 1 100000000 21 22 0 Output 300 100000 1600000000
stdin
null
4,283
1
[ "2\n2 100\n10 12\n14 16\n2 200\n12 13\n18 20\n4\n1 100\n6 22\n1 1000\n6 22\n1 10000\n6 22\n1 100000\n6 22\n16\n1 100000000\n6 7\n1 100000000\n7 8\n1 100000000\n8 9\n1 100000000\n9 10\n1 100000000\n10 11\n1 100000000\n11 12\n1 100000000\n12 13\n1 100000000\n13 14\n1 100000000\n14 15\n1 100000000\n15 16\n1 100000000\n16 17\n1 100000000\n17 18\n1 100000000\n18 19\n1 100000000\n19 20\n1 100000000\n20 21\n1 100000000\n21 22\n0\n" ]
[ "300\n100000\n1600000000\n" ]
[ "2\n2 100\n10 12\n14 16\n2 200\n12 13\n18 20\n4\n1 100\n6 22\n1 1000\n6 22\n1 10000\n6 22\n1 100000\n6 22\n16\n1 100000000\n6 7\n1 100000000\n7 8\n1 100000000\n8 9\n1 110000000\n9 10\n1 100000000\n10 11\n1 100000000\n11 12\n1 100000000\n12 13\n1 100000000\n13 14\n1 100000000\n14 15\n1 100000000\n15 16\n1 100000000\n16 17\n1 100000000\n17 18\n1 100000000\n18 19\n1 100000000\n19 20\n1 100000000\n20 21\n1 100000000\n21 22\n0\n", "2\n2 100\n10 12\n14 16\n2 200\n12 13\n18 20\n4\n1 100\n6 22\n1 1000\n6 22\n1 10000\n6 22\n1 100000\n6 22\n16\n1 100000000\n6 7\n1 100000000\n7 8\n1 100000000\n8 9\n1 110000000\n9 10\n1 100000000\n10 11\n1 100000000\n11 12\n1 100000000\n12 13\n1 100000000\n13 14\n1 100000000\n14 15\n1 100000000\n15 16\n1 100000000\n16 17\n1 100000000\n17 18\n1 100000000\n18 19\n1 100000000\n19 20\n1 100000000\n20 21\n1 100001000\n21 22\n0\n", "2\n2 100\n10 12\n14 16\n2 200\n12 13\n18 20\n4\n1 100\n6 22\n1 1000\n6 22\n1 10000\n6 22\n1 100000\n6 22\n16\n1 100000000\n6 7\n1 100000000\n7 8\n1 100000000\n8 9\n1 110000000\n9 10\n1 100000000\n10 11\n1 100000000\n11 12\n1 100000000\n12 13\n1 100000000\n13 14\n1 100000000\n14 15\n1 100000000\n15 16\n1 100000000\n16 17\n1 100000000\n17 18\n1 100000000\n18 19\n1 100000010\n19 20\n1 100000000\n20 21\n1 100001000\n21 22\n0\n", "2\n2 100\n10 12\n14 19\n2 200\n12 13\n18 20\n4\n1 100\n6 22\n1 1000\n6 22\n1 10000\n6 22\n1 100000\n6 22\n16\n1 100000000\n6 7\n1 100000000\n7 8\n1 100000000\n8 9\n1 110000000\n9 10\n1 100000000\n10 11\n1 100000000\n11 12\n1 100000000\n12 13\n1 100000000\n13 14\n1 100000000\n14 15\n1 100000000\n15 16\n1 100000000\n16 17\n1 100000000\n17 18\n1 100000000\n18 19\n1 100000000\n19 20\n1 100000000\n20 21\n1 100001000\n21 22\n0\n", "2\n2 100\n10 12\n14 16\n2 200\n12 13\n18 20\n4\n1 100\n6 22\n1 1000\n6 22\n1 10000\n6 22\n1 100000\n6 22\n16\n1 100000000\n6 7\n1 100000000\n7 8\n1 100000000\n8 9\n1 110000000\n9 10\n1 100000000\n10 11\n1 100000000\n11 12\n1 100000000\n12 19\n1 100000000\n13 14\n1 100000000\n14 15\n1 100000000\n15 16\n1 100000000\n16 17\n1 100000000\n17 18\n1 100000000\n18 19\n1 100000010\n19 20\n1 100000000\n20 21\n1 100001000\n21 22\n0\n", "2\n2 100\n10 12\n14 16\n2 200\n12 13\n18 20\n4\n1 100\n6 22\n1 1000\n6 22\n1 10000\n6 22\n1 100000\n6 22\n16\n1 100000000\n6 7\n1 100000000\n7 8\n1 100000000\n8 9\n1 110000000\n9 10\n1 100000000\n10 11\n1 100000000\n11 12\n1 100000000\n12 13\n1 100000000\n13 14\n1 100000000\n14 15\n1 100000000\n15 16\n1 100000010\n16 17\n1 100000000\n17 18\n1 100000000\n18 19\n1 100000010\n19 20\n1 100000000\n20 21\n1 100001000\n21 22\n0\n", "2\n2 100\n10 12\n14 16\n2 200\n12 13\n18 20\n4\n1 100\n6 22\n1 1000\n6 22\n1 10000\n6 22\n1 100000\n6 22\n16\n1 100000000\n6 7\n1 100000000\n7 8\n1 101000000\n8 9\n1 110000000\n9 10\n1 100000000\n10 11\n1 100000000\n11 12\n1 100000000\n12 19\n1 100000000\n13 14\n1 100000000\n14 15\n1 100000000\n15 16\n1 100000000\n16 17\n1 100000000\n17 18\n1 100000000\n18 19\n1 100000010\n19 20\n1 100000000\n20 21\n1 100001000\n21 22\n0\n", "2\n2 100\n10 12\n14 16\n2 200\n12 13\n18 20\n4\n1 100\n6 22\n1 1000\n6 22\n1 10000\n6 22\n1 100000\n6 22\n16\n1 100000000\n6 7\n1 100000000\n7 8\n1 101000000\n8 9\n1 110000000\n9 10\n1 100000000\n10 11\n1 100000000\n11 12\n1 100000000\n12 19\n1 100000000\n13 14\n1 100000000\n14 15\n1 100000000\n15 16\n1 100000000\n16 17\n1 100000000\n17 18\n1 100000000\n18 19\n1 100000010\n19 20\n1 100100000\n20 21\n1 100001000\n21 22\n0\n", "2\n2 100\n10 12\n14 16\n2 200\n12 13\n18 20\n4\n1 100\n6 22\n1 1000\n6 22\n1 10000\n6 22\n1 100000\n6 22\n16\n1 100000000\n6 7\n1 100000000\n7 8\n1 100000000\n8 9\n1 110000000\n9 10\n1 100000000\n10 11\n1 100000000\n11 12\n1 100000000\n12 13\n1 100000000\n13 14\n1 100000000\n14 15\n1 100000000\n15 16\n1 100000010\n16 17\n1 100000000\n17 18\n1 100000000\n18 19\n1 100000010\n19 20\n1 100000000\n20 21\n1 100101000\n21 22\n0\n", "2\n2 100\n10 12\n14 19\n2 200\n12 13\n18 20\n4\n1 110\n6 22\n1 1000\n6 22\n1 10000\n6 22\n1 100000\n6 22\n16\n1 101000000\n6 7\n1 100000000\n7 8\n1 100000000\n8 9\n1 110000000\n9 10\n1 100000000\n10 11\n1 100000000\n11 12\n1 100000000\n12 13\n1 100000000\n13 14\n1 100000000\n14 15\n1 100000000\n15 16\n1 100000000\n16 17\n1 100000000\n17 18\n1 100000000\n18 19\n1 100000000\n19 20\n1 100000000\n20 21\n1 100001000\n21 22\n0\n" ]
[ "300\n100000\n1610000000\n", "300\n100000\n1610001000\n", "300\n100000\n1610001010\n", "200\n100000\n1610001000\n", "300\n100000\n1510001010\n", "300\n100000\n1610001020\n", "300\n100000\n1511001010\n", "300\n100000\n1511101010\n", "300\n100000\n1610101020\n", "200\n100000\n1611001000\n" ]
CodeContests
Constraints * All values in input are integers. * 1\leq N, M\leq 12 * 1\leq X\leq 10^5 * 1\leq C_i \leq 10^5 * 0\leq A_{i, j} \leq 10^5 Input Input is given from Standard Input in the following format: N M X C_1 A_{1,1} A_{1,2} \cdots A_{1,M} C_2 A_{2,1} A_{2,2} \cdots A_{2,M} \vdots C_N A_{N,1} A_{N,2} \cdots A_{N,M} Output If the objective is not achievable, print `-1`; otherwise, print the minimum amount of money needed to achieve it. Examples Input 3 3 10 60 2 2 4 70 8 7 9 50 2 3 9 Output 120 Input 3 3 10 100 3 1 4 100 1 5 9 100 2 6 5 Output -1 Input 8 5 22 100 3 7 5 3 1 164 4 5 2 7 8 334 7 2 7 2 9 234 4 7 2 8 2 541 5 4 3 3 6 235 4 8 6 9 7 394 3 6 1 6 2 872 8 4 3 7 2 Output 1067
stdin
null
1,524
1
[ "3 3 10\n100 3 1 4\n100 1 5 9\n100 2 6 5\n", "3 3 10\n60 2 2 4\n70 8 7 9\n50 2 3 9\n", "8 5 22\n100 3 7 5 3 1\n164 4 5 2 7 8\n334 7 2 7 2 9\n234 4 7 2 8 2\n541 5 4 3 3 6\n235 4 8 6 9 7\n394 3 6 1 6 2\n872 8 4 3 7 2\n" ]
[ "-1\n", "120\n", "1067\n" ]
[ "2 3 10\n100 3 1 4\n100 1 5 9\n100 2 6 5\n", "3 3 10\n60 2 2 4\n70 8 7 2\n50 2 3 9\n", "8 5 22\n100 3 7 5 3 1\n164 4 5 2 7 8\n334 7 2 7 2 9\n234 4 7 2 8 2\n541 5 4 3 3 6\n235 4 6 6 9 7\n394 3 6 1 6 2\n872 8 4 3 7 2\n", "8 5 22\n100 3 7 5 3 1\n164 4 5 1 7 8\n334 7 2 7 2 9\n234 4 7 2 8 2\n541 5 4 3 3 6\n235 4 6 6 9 7\n394 3 6 1 6 2\n872 8 4 3 7 2\n", "8 5 22\n100 3 7 5 3 1\n32 4 5 1 7 8\n334 7 2 7 2 1\n234 4 7 2 8 2\n541 5 4 3 3 6\n235 4 6 6 9 7\n394 3 6 0 6 2\n872 8 4 3 7 2\n", "8 5 22\n100 3 7 5 3 1\n32 4 5 1 7 8\n334 7 2 7 2 1\n234 4 7 2 8 2\n1039 5 4 3 3 6\n235 4 6 6 9 7\n394 3 6 0 6 2\n872 8 4 3 7 2\n", "8 5 22\n100 3 7 5 3 1\n56 4 5 1 7 8\n334 7 2 7 2 1\n234 4 7 2 8 2\n1039 5 4 3 3 6\n235 4 6 6 9 7\n394 3 6 0 6 2\n872 8 4 3 7 2\n", "8 5 22\n100 3 7 5 3 1\n56 4 9 1 12 8\n334 7 2 7 2 1\n234 4 7 2 8 2\n568 5 4 3 5 6\n235 3 5 6 9 7\n394 3 6 0 6 2\n872 8 4 3 7 2\n", "8 5 22\n100 3 7 5 3 1\n56 4 9 1 12 8\n334 7 2 7 2 1\n234 4 7 2 8 2\n568 5 4 3 5 6\n239 3 5 6 9 9\n394 3 6 0 6 2\n872 8 4 3 7 2\n", "8 5 22\n100 3 7 5 3 1\n56 4 9 1 12 8\n334 7 2 7 2 1\n234 4 7 2 8 2\n568 5 1 3 5 1\n239 3 5 6 9 9\n394 2 6 0 6 3\n872 8 4 3 7 2\n" ]
[ "-1\n", "120\n", "1067\n", "1374\n", "1242\n", "1740\n", "1764\n", "1293\n", "1297\n", "1531\n" ]
CodeContests
There are N empty boxes arranged in a row from left to right. The integer i is written on the i-th box from the left (1 \leq i \leq N). For each of these boxes, Snuke can choose either to put a ball in it or to put nothing in it. We say a set of choices to put a ball or not in the boxes is good when the following condition is satisfied: * For every integer i between 1 and N (inclusive), the total number of balls contained in the boxes with multiples of i written on them is congruent to a_i modulo 2. Does there exist a good set of choices? If the answer is yes, find one good set of choices. Constraints * All values in input are integers. * 1 \leq N \leq 2 \times 10^5 * a_i is 0 or 1. Input Input is given from Standard Input in the following format: N a_1 a_2 ... a_N Output If a good set of choices does not exist, print `-1`. If a good set of choices exists, print one such set of choices in the following format: M b_1 b_2 ... b_M where M denotes the number of boxes that will contain a ball, and b_1,\ b_2,\ ...,\ b_M are the integers written on these boxes, in any order. Examples Input 3 1 0 0 Output 1 1 Input 5 0 0 0 0 0 Output 0
stdin
null
571
1
[ "5\n0 0 0 0 0\n", "3\n1 0 0\n" ]
[ "0\n", "1\n1\n" ]
[ "3\n1 0 1\n", "3\n1 1 0\n", "3\n0 0 0\n", "5\n1 0 0 0 0\n", "5\n1 0 0 0 1\n", "5\n1 1 0 1 0\n", "5\n1 0 1 0 0\n", "5\n1 1 0 0 0\n", "5\n1 0 0 0 0\n", "3\n0 0 0\n" ]
[ "1\n3\n", "1\n2\n", "0\n", "1\n1\n", "1\n5\n", "1\n4\n", "1\n3\n", "1\n2\n", "1\n1\n", "0\n" ]
CodeContests
You have an appointment to meet a friend of yours today, but you are so sleepy because you didn’t sleep well last night. As you will go by trains to the station for the rendezvous, you can have a sleep on a train. You can start to sleep as soon as you get on a train and keep asleep just until you get off. However, because of your habitude, you can sleep only on one train on your way to the destination. Given the time schedule of trains as well as your departure time and your appointed time, your task is to write a program which outputs the longest possible time duration of your sleep in a train, under the condition that you can reach the destination by the appointed time. Input The input consists of multiple datasets. Each dataset looks like below: S T D TimeD A TimeA N1 K1,1 Time1,1 ... K1,N1 Time1,N1 N2 K2,1 Time2,1 ... K2,N2 Time2,N2 ... NT KT,1 TimeT,1 ... KT,NT TimeT,NT The first line of each dataset contains S (1 ≤ S ≤ 1000) and T (0 ≤ T ≤ 100), which denote the numbers of stations and trains respectively. The second line contains the departure station (D), the departure time (TimeD ), the appointed station (A), and the appointed time (TimeA ), in this order. Then T sets of time schedule for trains follow. On the first line of the i-th set, there will be Ni which indicates the number of stations the i-th train stops at. Then Ni lines follow, each of which contains the station identifier (Ki,j ) followed by the time when the train stops at (i.e. arrives at and/or departs from) that station (Timei,j ). Each station has a unique identifier, which is an integer between 1 and S. Each time is given in the format hh:mm, where hh represents the two-digit hour ranging from “00” to “23”, and mm represents the two-digit minute from “00” to “59”. The input is terminated by a line that contains two zeros. You may assume the following: * each train stops at two stations or more; * each train never stops at the same station more than once; * a train takes at least one minute from one station to the next; * all the times that appear in each dataset are those of the same day; and * as being an expert in transfer, you can catch other trains that depart at the time just you arrive the station. Output For each dataset, your program must output the maximum time in minutes you can sleep if you can reach to the destination station in time, or “impossible” (without the quotes) otherwise. Example Input 3 1 1 09:00 3 10:00 3 1 09:10 2 09:30 3 09:40 3 2 1 09:00 1 10:00 3 1 09:10 2 09:30 3 09:40 3 3 09:20 2 09:30 1 10:00 1 0 1 09:00 1 10:00 1 0 1 10:00 1 09:00 3 1 1 09:00 3 09:35 3 1 09:10 2 09:30 3 09:40 4 3 1 09:00 4 11:00 3 1 09:10 2 09:20 4 09:40 3 1 10:30 3 10:40 4 10:50 4 1 08:50 2 09:30 3 10:30 4 11:10 0 0 Output 30 30 0 impossible impossible 60
stdin
null
3,929
1
[ "3 1\n1 09:00 3 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3 2\n1 09:00 1 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3\n3 09:20\n2 09:30\n1 10:00\n1 0\n1 09:00 1 10:00\n1 0\n1 10:00 1 09:00\n3 1\n1 09:00 3 09:35\n3\n1 09:10\n2 09:30\n3 09:40\n4 3\n1 09:00 4 11:00\n3\n1 09:10\n2 09:20\n4 09:40\n3\n1 10:30\n3 10:40\n4 10:50\n4\n1 08:50\n2 09:30\n3 10:30\n4 11:10\n0 0\n" ]
[ "30\n30\n0\nimpossible\nimpossible\n60\n" ]
[ "3 1\n1 09:00 3 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3 2\n1 09:00 1 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3\n3 09:20\n2 09:30\n1 10:00\n1 0\n1 09:00 1 10:00\n1 0\n1 10:00 1 09:00\n3 1\n1 09:00 3 09:35\n3\n1 09:10\n2 09:30\n3 09:40\n4 3\n1 09:00 4 11:00\n3\n2 09:10\n2 09:20\n4 09:40\n3\n1 10:30\n3 10:40\n4 10:50\n4\n1 08:50\n2 09:30\n3 10:30\n4 11:10\n0 0\n", "3 1\n1 09:00 3 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3 2\n1 09:00 1 10:00\n3\n2 09:10\n2 09:30\n3 09:40\n3\n3 09:20\n2 09:30\n1 10:00\n1 0\n1 09:00 1 10:00\n1 0\n1 10:00 1 09:00\n3 1\n1 09:00 3 09:35\n3\n1 09:10\n2 09:30\n3 09:40\n4 3\n1 09:00 4 11:00\n3\n2 09:10\n2 09:20\n4 09:40\n3\n1 10:30\n3 10:40\n4 10:50\n4\n1 08:50\n2 09:30\n3 10:30\n4 11:10\n0 0\n", "3 1\n1 09:00 3 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3 2\n1 09:00 1 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3\n3 09:20\n2 09:30\n1 10:01\n1 0\n1 09:00 1 10:00\n1 0\n1 10:00 1 09:00\n3 1\n1 09:00 3 09:35\n3\n1 09:10\n2 09:30\n3 09:40\n4 3\n1 09:00 4 11:00\n3\n1 09:10\n2 09:20\n4 09:40\n3\n1 10:30\n3 10:40\n4 10:50\n4\n1 08:50\n2 09:30\n3 10:30\n4 11:10\n0 0\n", "3 1\n1 09:00 3 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3 2\n1 09:00 1 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3\n3 09:20\n2 09:30\n1 10:01\n0 0\n1 09:00 1 10:00\n1 0\n1 10:00 1 09:00\n3 1\n1 09:00 3 09:35\n3\n1 09:10\n2 09:30\n3 09:40\n4 3\n1 09:00 4 11:00\n3\n1 09:10\n2 09:20\n4 09:40\n3\n1 10:30\n3 10:40\n4 10:50\n4\n1 08:50\n2 09:30\n3 10:30\n4 11:10\n0 0\n", "3 1\n1 09:00 3 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3 2\n1 09:00 1 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3\n3 09:02\n2 09:30\n1 10:01\n1 0\n1 09:00 1 10:00\n1 0\n1 00:01 1 09:00\n3 1\n2 09:00 3 09:35\n3\n1 09:10\n2 09:30\n3 09:40\n4 3\n1 09:00 4 11:00\n3\n1 09:10\n2 09:20\n4 09:40\n3\n1 10:30\n3 10:40\n4 10:50\n4\n1 08:50\n2 09:30\n3 10:30\n4 11:10\n0 0\n", "3 1\n1 09:00 3 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3 2\n1 09:00 1 10:00\n3\n2 09:10\n2 09:30\n3 09:40\n3\n3 09:20\n2 09:30\n1 10:00\n1 0\n1 09:00 1 10:00\n1 0\n1 10:00 1 09:00\n3 1\n1 09:00 3 09:35\n3\n1 09:10\n2 09:30\n3 09:40\n4 3\n1 00:90 4 11:00\n3\n2 09:10\n2 09:20\n4 09:40\n3\n1 10:30\n3 10:40\n4 10:50\n4\n1 08:50\n2 09:30\n3 10:30\n4 11:10\n0 0\n", "3 1\n1 09:00 3 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3 2\n1 09:00 1 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3\n3 09:20\n2 09:30\n1 10:00\n1 0\n1 09:00 1 10:00\n1 0\n1 10:00 1 09:00\n3 1\n1 09:00 3 09:35\n3\n1 09:10\n2 09:30\n3 09:40\n4 3\n1 00:90 4 11:00\n3\n2 09:10\n2 09:20\n4 09:40\n3\n1 10:30\n3 10:40\n4 10:50\n4\n1 08:50\n2 09:30\n3 10:30\n4 11:10\n0 0\n", "3 1\n1 09:00 3 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3 2\n1 09:00 1 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3\n3 09:20\n2 09:30\n1 10:01\n1 0\n1 09:00 1 00:01\n1 0\n1 10:00 1 09:00\n3 1\n1 09:00 3 09:35\n3\n1 09:10\n2 09:30\n3 09:40\n4 3\n1 09:00 4 11:00\n3\n1 09:10\n2 09:20\n4 09:40\n3\n1 10:30\n3 10:40\n4 10:50\n4\n1 08:50\n2 09:30\n3 10:30\n4 11:10\n0 0\n", "3 1\n1 09:00 3 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3 2\n1 09:00 1 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3\n3 09:20\n2 09:30\n1 10:00\n1 0\n1 09:00 1 10:00\n1 0\n1 10:00 1 09:00\n4 1\n1 09:00 3 09:35\n3\n1 09:10\n2 09:30\n3 09:40\n4 3\n1 19:00 4 11:00\n3\n2 09:10\n2 09:20\n4 09:40\n3\n1 10:30\n3 10:40\n4 10:50\n4\n1 08:50\n2 09:30\n3 10:30\n4 11:10\n0 0\n", "3 1\n1 09:00 3 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3 2\n1 09:00 1 10:00\n3\n1 09:10\n2 09:30\n3 09:40\n3\n3 09:02\n2 09:30\n1 10:01\n1 0\n1 09:00 1 10:00\n1 0\n1 00:01 1 09:00\n3 1\n2 09:00 3 09:35\n3\n1 09:10\n2 09:30\n3 09:40\n4 3\n1 09:00 4 11:00\n3\n1 09:10\n2 09:20\n4 09:40\n3\n1 10:30\n3 10:40\n4 10:50\n4\n1 08:50\n3 09:30\n3 10:30\n4 11:10\n0 0\n" ]
[ "30\n30\n0\nimpossible\nimpossible\n20\n", "30\n0\n0\nimpossible\nimpossible\n20\n", "30\n0\n0\nimpossible\nimpossible\n60\n", "30\n0\n", "30\n0\n0\n0\nimpossible\n60\n", "30\n0\n0\nimpossible\nimpossible\n100\n", "30\n30\n0\nimpossible\nimpossible\n100\n", "30\n0\nimpossible\nimpossible\nimpossible\n60\n", "30\n30\n0\nimpossible\nimpossible\nimpossible\n", "30\n0\n0\n0\nimpossible\n30\n" ]
CodeContests
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`. You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way. Constraints * 3 ≤ |s| ≤ 100 (|s| denotes the length of s.) * s consists of lowercase English letters. Input Input is given from Standard Input in the following format: s Output Print the abbreviation of s. Examples Input internationalization Output i18n Input smiles Output s4s Input xyz Output x1z
stdin
null
1,647
1
[ "smiles\n", "internationalization\n", "xyz\n" ]
[ "s4s\n", "i18n\n", "x1z\n" ]
[ "selims\n", "intfrnationalization\n", "xxz\n", "smilet\n", "noitazilanoitanrftni\n", "xx{\n", "stilem\n", "ooitazilanoitanrftni\n", "x{x\n", "melits\n" ]
[ "s4s\n", "i18n\n", "x1z\n", "s4t\n", "n18i\n", "x1{\n", "s4m\n", "o18i\n", "x1x\n", "m4s\n" ]
CodeContests
There are several colored cubes. All of them are of the same size but they may be colored differently. Each face of these cubes has a single color. Colors of distinct faces of a cube may or may not be the same. Two cubes are said to be identically colored if some suitable rotations of one of the cubes give identical looks to both of the cubes. For example, two cubes shown in Figure 2 are identically colored. A set of cubes is said to be identically colored if every pair of them are identically colored. A cube and its mirror image are not necessarily identically colored. For example, two cubes shown in Figure 3 are not identically colored. You can make a given set of cubes identically colored by repainting some of the faces, whatever colors the faces may have. In Figure 4, repainting four faces makes the three cubes identically colored and repainting fewer faces will never do. Your task is to write a program to calculate the minimum number of faces that needs to be repainted for a given set of cubes to become identically colored. Input The input is a sequence of datasets. A dataset consists of a header and a body appearing in this order. A header is a line containing one positive integer n and the body following it consists of n lines. You can assume that 1 ≤ n ≤ 4. Each line in a body contains six color names separated by a space. A color name consists of a word or words connected with a hyphen (-). A word consists of one or more lowercase letters. You can assume that a color name is at most 24-characters long including hyphens. A dataset corresponds to a set of colored cubes. The integer n corresponds to the number of cubes. Each line of the body corresponds to a cube and describes the colors of its faces. Color names in a line is ordered in accordance with the numbering of faces shown in Figure 5. A line color1 color2 color3 color4 color5 color6 corresponds to a cube colored as shown in Figure 6. The end of the input is indicated by a line containing a single zero. It is not a dataset nor a part of a dataset. <image> <image> <image> Output For each dataset, output a line containing the minimum number of faces that need to be repainted to make the set of cubes identically colored. Example Input 3 scarlet green blue yellow magenta cyan blue pink green magenta cyan lemon purple red blue yellow cyan green 2 red green blue yellow magenta cyan cyan green blue yellow magenta red 2 red green gray gray magenta cyan cyan green gray gray magenta red 2 red green blue yellow magenta cyan magenta red blue yellow cyan green 3 red green blue yellow magenta cyan cyan green blue yellow magenta red magenta red blue yellow cyan green 3 blue green green green green blue green blue blue green green green green green green green green sea-green 3 red yellow red yellow red yellow red red yellow yellow red yellow red red red red red red 4 violet violet salmon salmon salmon salmon violet salmon salmon salmon salmon violet violet violet salmon salmon violet violet violet violet violet violet salmon salmon 1 red green blue yellow magenta cyan 4 magenta pink red scarlet vermilion wine-red aquamarine blue cyan indigo sky-blue turquoise-blue blond cream chrome-yellow lemon olive yellow chrome-green emerald-green green olive vilidian sky-blue 0 Output 4 2 0 0 2 3 4 4 0 16
stdin
null
1,655
1
[ "3\nscarlet green blue yellow magenta cyan\nblue pink green magenta cyan lemon\npurple red blue yellow cyan green\n2\nred green blue yellow magenta cyan\ncyan green blue yellow magenta red\n2\nred green gray gray magenta cyan\ncyan green gray gray magenta red\n2\nred green blue yellow magenta cyan\nmagenta red blue yellow cyan green\n3\nred green blue yellow magenta cyan\ncyan green blue yellow magenta red\nmagenta red blue yellow cyan green\n3\nblue green green green green blue\ngreen blue blue green green green\ngreen green green green green sea-green\n3\nred yellow red yellow red yellow\nred red yellow yellow red yellow\nred red red red red red\n4\nviolet violet salmon salmon salmon salmon\nviolet salmon salmon salmon salmon violet\nviolet violet salmon salmon violet violet\nviolet violet violet violet salmon salmon\n1\nred green blue yellow magenta cyan\n4\nmagenta pink red scarlet vermilion wine-red\naquamarine blue cyan indigo sky-blue turquoise-blue\nblond cream chrome-yellow lemon olive yellow\nchrome-green emerald-green green olive vilidian sky-blue\n0\n" ]
[ "4\n2\n0\n0\n2\n3\n4\n4\n0\n16\n" ]
[ "3\nscarlet green blue yellow magenta cyan\nblue pink green magenta cyan lemon\npurple red blue yellow cyan green\n2\nred green blue yellow magenta cyan\ncyan green blue yellow magenta red\n2\nred green gray gray magenta cyan\ncyan green gray fray magenta red\n2\nred green blue yellow magenta cyan\nmagenta red blue yellow cyan green\n3\nred green blue yellow magenta cyan\ncyan green blue yellow magenta red\nmagenta red blue yellow cyan green\n3\nblue green green green green blue\ngreen blue blue green green green\ngreen green green green green sea-green\n3\nred yellow red yellow red yellow\nred red yellow yellow red yellow\nred red red red red red\n4\nviolet violet salmon salmon salmon salmon\nviolet salmon salmon salmon salmon violet\nviolet violet salmon salmon violet violet\nviolet violet violet violet salmon salmon\n1\nred green blue yellow magenta cyan\n4\nmagenta pink red scarlet vermilion wine-red\naquamarine blue cyan indigo sky-blue turquoise-blue\nblond cream chrome-yellow lemon olive yellow\nchrome-green emerald-green green olive vilidian sky-blue\n0\n", "3\nscarlet green blue yellow magenta cyan\nblue pink green magenta cyan lemon\npurple red blue yellow cyan green\n2\nred green blue yellow magenta cyan\ncyan green blue yellow magenta red\n2\nred green gray gray magenta cyan\ncyan green gray fray magenta red\n2\nred green blue yellow magenta cyan\nmagenta red blue yellow cyan green\n3\nred green blue yellow magenta cyan\ncyan green blue yellow magenta red\nmagenta red blue yellow cyan green\n3\nblue green green green green blue\ngreen blue blue green green greem\ngreen green green green green sea-green\n3\nred yellow red yellow red yellow\nred red yellow yellow red yellow\nred red red red red red\n4\nviolet violet salmon salmon salmon salmon\nviolet salmon salmon salmon salmon violet\nviolet violet salmon salmon violet violet\nviolet violet violet violet salmon salmon\n1\nred green blue yellow magenta cyan\n4\nmagenta pink red scarlet vermilion wine-red\naquamarine blue cyan indigo sky-blue turquoise-blue\nblond cream chrome-yellow lemon olive yellow\nchrome-green emerald-green green olive vilidian sky-blue\n0\n", "3\nscarlet green blue yellow magenta cyan\nblue pink green magenta cyan lemon\npurple red blue yellow cyan green\n2\nred green blue yellow magenta cyan\ncyan green blue yellow magenta red\n2\nred green gray gray magenta cyan\ncyan green gray fray magenta red\n2\nred green blue yellow magenta cyan\nmagenta red blue yellow cyan green\n3\nred green blue yellow magenta cyan\ncyan green blue yellow magenta red\nmagenta red blue yellow cyan green\n3\nblue green green green green blue\ngreen blue blue green greeo greem\ngreen green green green green sea-green\n3\nred yellow red yellow red yellow\nred red yellow yellow red yellow\nred red red red red red\n4\nviolet violet salmon salmon salmon salmon\nviolet salmon salmon salmon salmon violet\nviolet violet salmon salmon violet violet\nviolet violet violet violet salmon salmon\n1\nred green blue yellow magenta cyan\n4\nmagenta pink red scarlet vermilion wine-red\naquamarine blue cyan indigo sky-blue turquoise-blue\nblond cream chrome-yellow lemon olive yellow\nchrome-green emerald-green green olive vilidian sky-blue\n0\n", "3\nscarlet green blue yellow magenta cyan\nblue pink green magenta cyan lemon\npurple red blue yellow cyam green\n2\nred gseen blue yellow magenta cyan\ncyan green blue yellow mbgenta red\n2\nred green gray gray magenta cyan\ncyan green gray fray magenta red\n2\nred green blue yellow magenta cyan\nmagenta red blue yellow cyan green\n3\nred green blue yellow magenta cyan\ncyan green blue yellow magenta red\nmagenta red blue yellow cyan green\n3\nblue green green green green blue\ngreen blue blue green greeo greem\ngreen green green green green sea-green\n3\nred yellow red yellow red yellow\nred red yellow yellow red yellow\nred red red red red rdd\n4\nviolet violet salmon salmon salmon nomlas\nviolet salmon salmon salmon salmon violet\nviolet violet salmon salmon violet violet\nviolet violet violet violet salmon salmon\n1\nred green blue yellow magenta cyan\n4\nmagenta pink red scarlet vermilion wine-red\naquamarine blue cyan indigo sky-blue turquoise-blue\nblond cream chrome-yellow lemon olive yellow\nchrome-green emerald-green green olive vilidian sky-blue\n0\n", "3\nscarlet green blue yellow magenta cyan\nblue pink green magenta cyan lemon\npurple red blue yellow cyam green\n2\nred gseen blue yellow magenta cyan\ncyan green blue yellow mbgenta red\n2\nred green gray gray magenta cyan\ncyan green gray fray magenta red\n2\nred green blue yellow magenta cyan\nmagenta red blue yellow cyan neerg\n3\nred green blue yellow magenta cyan\ncyan green blue yellow magenta red\nmagenta red blue yellow cyan green\n3\nblue green green green green blue\ngreen blue blue green greeo greem\ngreen green green green green sea-green\n3\nred yellow red yellow red yellow\nred red yellow yellow red yellow\nred red red red red rdd\n4\nviolet violet salmon salmon salmon nomlas\nviolet salmon salmon salmon salmon violet\nviolet violet salmon salmon violet violet\nviolet violet violet violet salmon salmon\n1\nred green blue yellow magenta cyan\n4\nmagenta pink red scarlet vermilion wine-red\naquamarine blue cyan indigo sky-blue turquoise-blue\nblond cream chrome-yellow lemon olive yellow\nchrome-green emerald-green green olive vilidian sky-blue\n0\n", "3\nscarlet green blue yellow magenta cyan\nblue pink green magenta cyan lemon\npurple red blue yellow cyam green\n2\nred gseen blue yellow magenta cyan\ncyan green blue yellow mbgenta red\n2\nred green gray gray magenta cyan\ncyan green gray fray magenta red\n2\nred green blue yellow magenta cyan\nmagenta red blue yellow cyan neerg\n3\nred hreen blue yellow magenta cyan\ncyan green blue yellow magenta red\nmagenta red blue yellow cyan green\n3\nblue green green green green blue\ngreen blue blue green greeo greem\ngreen green green green green sea-green\n3\nred yellow red yellow red yellow\nred red yellow yellow red yellow\nred red red red red rdd\n4\nviolet violet salmon salmon salmon nomlas\nviolet salmon salmon salmon salmon violet\nviolet violet salmon salmon violet violet\nviolet violet violet violet salmon salmon\n1\nred green blue yellow magenta cyan\n4\nmagenta pink red scarlet vermilion wine-red\naquamarine blue cyan indigo sky-blue turquoise-blue\nblond cream chrome-yellow lemon olive yellow\nchrome-green emerald-green green olive vilidian sky-blue\n0\n", "3\nscarlet green blue yellow magenta cyan\nblue pink green magenta cyan lemon\npurple red blue yellow cyam green\n2\nred gseen blue yellow magenta cyan\ncyan green blue yellow mbgenta red\n2\nred green gray gray magenta cyan\ncyan green gray fray magenta red\n2\nred green blue yellow magenta cyan\nmagenta red blue yellow cyan neerg\n3\nred hreen blue yellow magenta cyan\ncyan green blue yellow magenta red\nmagenta red blue yellow cyan green\n3\nblue green green green green blue\ngreen blue blue neerg greeo greem\ngreen green green green green sea-green\n3\nred yellow red yellow red yellow\nred red yellow yellow red yellow\nred red red red red rdd\n4\nviolet violet salmon salmon salmon nomlas\nviolet salmon salmon salmon salmon violet\nviolet violet salmon salmon violet violet\nviolet violet violet violet salmon salmon\n1\nred green blue yellow magenta cyan\n4\nmagenta pink red scarlet vermilion wine-red\naquamarine blue cyan indigo sky-blue turquoise-blue\nblond cream chrome-yellow lemon olive yellow\nchrome-green emerald-green green olive vilidian sky-blue\n0\n", "3\nscarlet green blue yellow magenta cyan\nblue pink green magenta cyan lemon\npurple red blue yellow cyam hreen\n2\nred gseen blue yellow magenta cyan\ncyan green blue yellow mbgenta red\n2\nred green gray gray magenta cyan\ncyan green gray fray magenta red\n2\nred green blue yellow magenta cyan\nmagenta red blue yellow cyan neerg\n3\nred hreen blue yellow magenta cyan\ncyan green blue yellow magenta red\nmagenta red blue yellow cyan green\n3\nblue green green green green blue\ngreen blue blue neerg greeo greem\ngreen green green green green sea-green\n3\nred yellow red yellow red yellow\nred red yellow yellow red yellow\nred red red red red rdd\n4\nviolet violet salmon salmon salmon nomlas\nviolet salmon salmon salmon salmon violet\nviolet violet salmon salmon violet violet\nviolet violet violet violet salmon salmon\n1\nred green blue yellow magenta cyan\n4\nmagenta pink red scarlet vermilion wine-red\naquamarine blue cyan indigo sky-blue turquoise-blue\nblond cream chrome-yellow lemon olive yellow\nchrome-green emerald-green green olive vilidian sky-blue\n0\n", "3\nscarlet green blue yellow magenta cyan\nblue pink green magenta cyan lemon\npurple red blue yelolw cyam hreen\n2\nred gseen blue yellow magenta cyan\ncyan green blue yellow mbgenta red\n2\nred green yarg gray magenta cyan\ncyan green gray fray magenta red\n2\nred green blue yellow magenta cyan\nmagenta red blue yellow cyan neerg\n3\nred hreen blue yellow magenta cyan\ncyan green blue yellow magenta red\nmagenta red blue yellow cyan green\n3\nblue green green green green blue\ngreen blue blue neerg greeo greem\ngreen green green green green sea-green\n3\nred yellow red yellow red yellow\nred red yellow yellow red yellow\nred red red red erd rdd\n4\nviolet violet salmon salmon salmon nomlas\nviolet salmon salmon salmon salmon violet\nviolet violet salmon salmon violet violet\nviolet violet violet violet salmon salmon\n1\nred green blue yellow magenta cyan\n4\nmagenta pink red scarlet vermilion wine-red\naquamarine blue cyan indigo sky-blue turquoise-blue\nblond cream chrome-yellow lemon olive yellow\nchrome-green emerald-green green olive vilidian sky-blue\n0\n", "3\nscarlet green blue yellow magenta cyan\nblue pink green magenta cyan lemon\npurple red blue yelolw cyam hreen\n2\nred gseen blue yellow magenta cyan\ncyan green blue yellow mbgenta red\n2\nred green yarg gray magenta cyan\ncyan green gray fray magenta red\n2\nred green blue yellow magenta cyan\nmagenta red blue yellow cyan neerg\n3\nred hreen blue yellow magenta cyan\ncyan green blue yellow magenta red\nmagenta red blue yellow cyan green\n3\nblue green green green green blue\ngreen blue blue neerg greeo greem\ngreen green green green green sea-green\n3\nred yellow red yellow red yellow\nred red yellow yellow red yellow\nred red red red erd rdd\n4\nviolet vioket salmon salmon salmon nomlas\nviolet salmon salmon salmon salmon violet\nviolet violet salmon salmon violet violet\nviolet violet violet violet salmon salmon\n1\nred green blue yellow magenta cyan\n4\nmagenta pink red scarlet vermilion wine-red\naquamarine blue cyan indigo sky-blue turquoise-blue\nblond cream chrome-yellow lemon olive yellow\nchrome-green emerald-green green olive vilidian sky-blue\n0\n" ]
[ "4\n2\n1\n0\n2\n3\n4\n4\n0\n16\n", "4\n2\n1\n0\n2\n4\n4\n4\n0\n16\n", "4\n2\n1\n0\n2\n5\n4\n4\n0\n16\n", "5\n2\n1\n0\n2\n5\n4\n4\n0\n16\n", "5\n2\n1\n1\n2\n5\n4\n4\n0\n16\n", "5\n2\n1\n1\n3\n5\n4\n4\n0\n16\n", "5\n2\n1\n1\n3\n6\n4\n4\n0\n16\n", "6\n2\n1\n1\n3\n6\n4\n4\n0\n16\n", "7\n2\n1\n1\n3\n6\n4\n4\n0\n16\n", "7\n2\n1\n1\n3\n6\n4\n5\n0\n16\n" ]
CodeContests
Do you know "sed," a tool provided with Unix? Its most popular use is to substitute every occurrence of a string contained in the input string (actually each input line) with another string β. More precisely, it proceeds as follows. 1. Within the input string, every non-overlapping (but possibly adjacent) occurrences of α are marked. If there is more than one possibility for non-overlapping matching, the leftmost one is chosen. 2. Each of the marked occurrences is substituted with β to obtain the output string; other parts of the input string remain intact. For example, when α is "aa" and β is "bca", an input string "aaxaaa" will produce "bcaxbcaa", but not "aaxbcaa" nor "bcaxabca". Further application of the same substitution to the string "bcaxbcaa" will result in "bcaxbcbca", but this is another substitution, which is counted as the second one. In this problem, a set of substitution pairs (αi, βi) (i = 1, 2, ... , n), an initial string γ, and a final string δ are given, and you must investigate how to produce δ from γ with a minimum number of substitutions. A single substitution (αi, βi) here means simultaneously substituting all the non-overlapping occurrences of αi, in the sense described above, with βi. You may use a specific substitution (αi, βi ) multiple times, including zero times. Input The input consists of multiple datasets, each in the following format. n α1 β1 α2 β2 . . . αn βn γ δ n is a positive integer indicating the number of pairs. αi and βi are separated by a single space. You may assume that 1 ≤ |αi| < |βi| ≤ 10 for any i (|s| means the length of the string s), αi ≠ αj for any i ≠ j, n ≤ 10 and 1 ≤ |γ| < |δ| ≤ 10. All the strings consist solely of lowercase letters. The end of the input is indicated by a line containing a single zero. Output For each dataset, output the minimum number of substitutions to obtain δ from γ. If δ cannot be produced from γ with the given set of substitutions, output -1. Example Input 2 a bb b aa a bbbbbbbb 1 a aa a aaaaa 3 ab aab abc aadc ad dee abc deeeeeeeec 10 a abc b bai c acf d bed e abh f fag g abe h bag i aaj j bbb a abacfaabe 0 Output 3 -1 7 4
stdin
null
3,010
1
[ "2\na bb\nb aa\na\nbbbbbbbb\n1\na aa\na\naaaaa\n3\nab aab\nabc aadc\nad dee\nabc\ndeeeeeeeec\n10\na abc\nb bai\nc acf\nd bed\ne abh\nf fag\ng abe\nh bag\ni aaj\nj bbb\na\nabacfaabe\n0\n" ]
[ "3\n-1\n7\n4\n" ]
[ "2\na bb\nb aa\na\nbbbbbbbb\n1\na aa\na\naaaaa\n3\nab aab\nabc aadc\nad dee\nabc\ndeeeeeeeec\n10\na abc\nb bai\nc acf\nd bed\ne abh\nf fag\ng abe\nh bag\ni aaj\nj bbb\na\nabaceaabe\n0\n", "2\na bb\nb aa\nb\nbbbbbbbb\n1\nb aa\na\naaaaa\n3\nab aab\nabc aadc\nad dee\nabc\ndeeeeeeeec\n10\na abc\nb bai\nc acf\nd bed\ne abh\nf fag\ng abe\nh bag\ni aaj\nj bbb\na\nabaceaabe\n0\n", "2\na bb\nb aa\nb\nbbbbbbbb\n1\nb aa\nb\naaaaa\n3\nbb aab\nabc aadc\nad dee\nabc\ndeeeeeeeec\n10\na acb\nb bai\nc acf\nd bec\ne bbh\nf fag\ng abe\nh bag\ni aaj\nj bbb\na\nabaceaabe\n0\n", "2\na bb\nb aa\na\nbbbbbbbb\n1\nb aa\nb\naaaaa\n3\nbb aab\nabc aadc\nad dee\nbac\ndeeeeeeeec\n10\na bca\nb bai\nc acf\nd bec\ne bbh\nf fag\ng abe\nh bag\ni aaj\nj bbb\na\nabaceaabe\n0\n", "2\na bb\nb aa\na\nbbbbbbbb\n1\na aa\nc\naaaaa\n0\nbb aab\nbca aadc\nad dee\nbac\ndeeeeeeeec\n10\na bca\nc bai\nc acf\nd bec\ne bbh\ng fag\ng abe\nh bag\ni aaj\nj bab\na\nabaceaabe\n0\n", "2\nb bb\nb aa\na\nbbbbbbbb\n1\n` ba\nd\naaaaa\n0\nba abb\nbca aacd\nda ede\ndab\ndeeeeeeeec\n10\nb bca\nc iac\nc acf\nd bec\nf bhb\ng f`g\ng aae\nh bah\nh aaj\nj cab\n_\ncbaaeeaba\n0\n", "2\na bb\nb aa\na\nbbbbbbbb\n1\na aa\na\naaaaa\n3\nab aab\nabc adac\nad dee\nabc\ndeeeeeeeec\n10\na abc\nb bai\nc acf\nd bed\ne abh\nf fag\ng abe\nh bag\ni aaj\nj bbb\na\nabacfaabe\n0\n", "2\na bb\nb aa\na\nbbbbbbbb\n0\na aa\nd\naaaaa\n0\nab abb\nbca aadc\nda ede\ncab\ndeeeeeeeec\n10\nb bca\nc bai\nc acf\nd bec\ne bbh\ng g`f\ng aae\ng bah\nh aaj\nj cab\n`\nabaceaabe\n0\n", "2\na ba\nb aa\nb\nabbbbbbb\n0\n` aa\nb\n`aaaa\n0\nca bbb\nbca aacd\nda ede\ncac\ndeeeeeeeec\n10\nb bca\nc iac\nc acf\nd bec\ne bhb\ng g`f\ng bae\nh bah\nh aaj\nj bac\na\ncbaaeeaba\n-1\n", "2\na bb\nb aa\na\nbbbbbbbb\n1\nb aa\na\naaaaa\n3\nab aab\nabc aadc\nad dee\nabc\ndeeeeeeeec\n10\na abc\nb bai\nc acf\nd bed\ne abh\nf fag\ng abe\nh bag\ni aaj\nj bbb\na\nabaceaabe\n0\n" ]
[ "3\n-1\n7\n-1\n", "-1\n-1\n7\n-1\n", "-1\n-1\n-1\n-1\n", "3\n-1\n-1\n-1\n", "3\n-1\n", "-1\n-1\n", "3\n-1\n-1\n4\n", "3\n", "-1\n", "3\n-1\n7\n-1\n" ]
CodeContests
Roy frequently needs to use his old Nokia cell phone for texting whose keypad looks exactly as shown below. You may be already familiar with the working of the keypad, however if you're not we shall see a few examples. To type "b", we need to press "2" twice. To type "?" we need to press "1" thrice. To type "5" we need to press "5" four times. To type "0" we need to press "0" twice. I hope that it's clear how the keypad is being used. Now Roy has lot of text messages and they are pretty lengthy. So he devised a mechanical-hand-robot (with only 1 finger) which does the typing job. One drawback of this robot is its typing speed. It takes 1 second for single press of any button. Also it takes 1 second to move from one key to another. Initial position of the hand-robot is at key 1. So if its supposed to type "hack" it will take 1 second to move from key 1 to key 4 and then 2 seconds to type "h". Now again 1 second to move from key 4 to key 2 and then 1 second to type "a". Since "c" is present at the same key as "a" movement time is 0. So it simply takes 3 seconds to type "c". Finally it moves from key 2 to key 5 in 1 second and then 2 seconds to type "k". So in total it took 1+2+1+1+3+1+2= 11 seconds to type "hack". Input: First line contains T - number of test cases. Each of next T lines contain a string S - the message Roy needs to send. Each string is terminated by a newline escape sequence \n. Output: For each test case output the time taken by the hand-robot to type down the message. Constraints: 1 ≤ T ≤ 50 1 ≤ |S| ≤ 1000 , where |S| denotes the length of string S String is made of all the characters shown in the image above which are as follows: "." (period), "," (comma), "?" (question mark), "!" (exclamation mark), [a-z] (small case english alphabets), "_" (underscore) and [0-9] (digits) Note: We are using "_" underscore instead of " " empty space to avoid confusion SAMPLE INPUT 3 hack 5! i_?_uSAMPLE OUTPUT 11 10 15
stdin
null
3,868
1
[ "3\nhack\n5!\ni_?_uSAMPLE\n" ]
[ "11\n10\n15\n" ]
[ "10\no3fmci,o2p\nc8tllmhzg7\n747kdw9lo3\nsj8cz3cvmo\ns3szaonxca\npir_be2g1p\n23?behplex\nd4hiyu65r6\n6rtnnrjj0!\n7u7mlvsf0d\n", "3\nhabk\n5!\ni_?_uSAMPLE\n", "10\no3fmci,o2p\nc8tllmhzg7\n747kdw9lo3\nsj8cz3cvmo\ns3szaonxca\npir_be2g1p\n23?behplex\nd4hiyu65r6\n6rtnnrjj0!\n7u7nlvsf0d\n", "3\nhabk\n5!\nh_?_uSAMPLE\n", "10\no3fmci,o2p\nc8tllmhzg7\n747kdw9lo3\nsj8cz3cvmo\ns3szaonxca\npir_be2g1p\n23?begplex\nd4hiyu65r6\n6rtnnrjj0!\n7u7nlvsf0d\n", "10\no3fmci,o2p\nc8tllmhzg7\n747kdw9lo3\nsj8cz3cvmo\ns3szaonxca\npir_be2g1p\n23?begplex\nd4hiyu65r6\n6rtnnrjj0!\n7u7nlvtf0d\n", "10\no3fmci,o2p\nc8tllmhzg7\n747kdw9lo3\nsj8cz3cvmo\ns3szaonxca\npir_be2g1p\n22?begplex\nd4hiyu65r6\n6rtnnrjj0!\n7u7nlvtf0d\n", "3\nahbk\n4!\nh_?_uSALPLE\n", "10\no3fmci,o2p\nc8tllmhzg7\n747kdw9lo3\nsj8cz3cvmo\ns3szaonxca\npir_be2g1p\n22?begplex\nd4hiyu65r6\njrtnnrj60!\n7u7nlvtf0d\n", "10\no3fmci,o2p\nc8tllmhzg7\n747kdw9lo3\nsj8cz3cvmo\ns3szaonxca\npir_ae2g1p\n22?begplex\nd4hiyu65r6\njrtnnrj60!\n7u7nlvtf0d\n" ]
[ "36\n35\n42\n39\n36\n33\n35\n38\n31\n39\n", "10\n10\n15\n", "36\n35\n42\n39\n36\n33\n35\n38\n31\n40\n", "10\n10\n14\n", "36\n35\n42\n39\n36\n33\n34\n38\n31\n40\n", "36\n35\n42\n39\n36\n33\n34\n38\n31\n36\n", "36\n35\n42\n39\n36\n33\n33\n38\n31\n36\n", "11\n10\n14\n", "36\n35\n42\n39\n36\n33\n33\n38\n32\n36\n", "36\n35\n42\n39\n36\n32\n33\n38\n32\n36\n" ]
CodeContests
Brian built his own car and was confused about what name he should keep for it. He asked Roman for help. Roman being his good friend, suggested a lot of names. Brian only liked names that: - Consisted of exactly three distinct characters, say C1, C2 and C3 - Satisfied the criteria that the string was of the form - C1^n C2^n C3^n : This means, first C1 occurs n times, then C2 occurs n times and then C3 occurs n times. For example, xyz, ccaarr, mmmiiiaaa satisfy the criteria, but xyzw, aabbbcccc don't. Given N names suggested by Roman, print "OK" if Brian likes the name and "Not OK" if he doesn't. Input: First line contains a single positive integer N - the number of names. N lines follow - each line contains a name. Output: For each name, Print "OK" if the name satisfies the criteria, else print "Not OK", on a new line. Constraints: 1 ≤ N ≤ 100 1 ≤ Length of names ≤ 500 Names contain only lowercase English alphabets SAMPLE INPUT 2 bbbrrriii brian SAMPLE OUTPUT OK Not OK Explanation First name satisfies the criteria as: C1 = b, C2 = r, C3 = i, n = 3. Second name does not satisfy the criteria.
stdin
null
4,529
1
[ "2\nbbbrrriii\nbrian\n\nSAMPLE\n" ]
[ "OK\nNot OK\n" ]
[ "2\nbbbrrriii\nbrian\n\nELPMAS\n", "2\nbbarrriii\nbrian\n\nELPMAS\n", "2\nbbarrriii\nbrian\n\nSAMPLE\n", "2\nbbarrriii\nbiran\n\nSAMPLE\n", "2\nbbarrriji\nbiran\n\nSAMPLE\n", "2\nbbarrrijj\nbiran\n\nSAMPLE\n", "2\nbbarrjijr\nbiran\n\nSAMPLE\n", "2\nbb`rrjijr\nbiran\n\nSAMPLE\n", "2\nbb`rrjijr\nbiram\n\nSAMPLE\n", "2\nbb`rrjijr\nairam\n\nSAMPLE\n" ]
[ "OK\nNot OK\n", "Not OK\nNot OK\n", "Not OK\nNot OK\n", "Not OK\nNot OK\n", "Not OK\nNot OK\n", "Not OK\nNot OK\n", "Not OK\nNot OK\n", "Not OK\nNot OK\n", "Not OK\nNot OK\n", "Not OK\nNot OK\n" ]
CodeContests
Agent OO7 is engaged in a mission to stop the nuclear missile launch. He needs a surveillance team to monitor the progress of the mission. Several men with different type of capabilities assemble in a hall, help OO7 to find out total men with different capabilities. Capability is represented in form of numbers. Input - First line contains 'T' test cases followed by 'T*2' lines, each pair containing, 1) Total number of men, M. 2) Capability value of each men, A[i]. Output - 'T' lines containing total men with different capabilities. Constraints - 1 ≤ T ≤ 10^3, 1 ≤ M ≤ 10^5, 1 ≤ A[i] ≤ 10^5 SAMPLE INPUT 3 6 48 11 11 48 36 10 4 25 25 25 25 9 6 98 12 256 23 245 10 19 3 SAMPLE OUTPUT 4 1 9 Explanation 1) For the 1st case, 1st line contains 6 men followed by 6 different capability values, i.e., {48,11,11,48,36,10}. Since, 48,11,36,10 are 4 unique capability values, so the output is 4. 2) For the 2nd case, 1st line contains 4 men followed by 4 different capability values, i.e., {25,25,25,25}. Since, 25 is the only unique capability value, so the output is 1.
stdin
null
4,611
1
[ "3\n6\n48 11 11 48 36 10\n4\n25 25 25 25\n9\n6 98 12 256 23 245 10 19 3\n\nSAMPLE\n" ]
[ "4\n1\n9\n" ]
[ "3\n6\n48 11 11 48 19 10\n4\n25 25 25 25\n9\n6 98 12 256 23 245 10 19 3\n", "3\n6\n48 18 11 48 36 10\n4\n25 25 25 25\n9\n6 98 12 256 23 245 10 19 3\n\nSAMPLE\n", "3\n6\n48 11 11 48 19 10\n4\n25 25 25 25\n9\n3 98 12 256 23 245 10 19 3\n", "3\n6\n48 11 9 48 19 10\n4\n25 25 25 25\n9\n3 98 12 256 23 245 10 19 3\n", "3\n6\n48 18 11 48 36 10\n4\n25 25 25 2\n9\n6 98 12 256 41 245 10 19 3\n\nSAMPLE\n", "3\n6\n0 11 9 48 19 10\n4\n25 25 25 25\n9\n5 98 12 256 23 245 11 19 3\n", "3\n6\n48 18 11 48 36 12\n4\n25 25 14 2\n9\n6 98 12 256 41 245 20 19 3\n\nSAMPLE\n", "3\n6\n-1 11 13 91 19 10\n4\n25 25 25 25\n9\n5 98 12 256 23 245 11 19 5\n", "3\n6\n0 11 13 91 6 10\n4\n25 25 33 25\n9\n5 98 12 256 23 245 11 19 5\n", "3\n6\n-1 11 9 91 6 1\n4\n25 25 40 25\n9\n5 98 5 256 23 245 11 19 5\n" ]
[ "4\n1\n9\n", "5\n1\n9\n", "4\n1\n8\n", "5\n1\n8\n", "5\n2\n9\n", "6\n1\n9\n", "5\n3\n9\n", "6\n1\n8\n", "6\n2\n8\n", "6\n2\n7\n" ]
CodeContests
problem At IOI Confectionery, rice crackers are baked using the traditional method since the company was founded. This traditional method is to bake the front side for a certain period of time with charcoal, turn it over when the front side is baked, and bake the back side for a certain period of time with charcoal. While keeping this tradition, rice crackers are baked by machine. This machine arranges and bake rice crackers in a rectangular shape with vertical R (1 ≤ R ≤ 10) rows and horizontal C (1 ≤ C ≤ 10000) columns. Normally, it is an automatic operation, and when the front side is baked, the rice crackers are turned over and the back side is baked all at once. One day, when I was baking rice crackers, an earthquake occurred just before turning over the rice crackers, and some rice crackers turned over. Fortunately, the condition of the charcoal fire remained appropriate, but if the front side was baked any more, the baking time set by the tradition since the establishment would be exceeded, and the front side of the rice cracker would be overcooked and could not be shipped as a product. .. Therefore, I hurriedly changed the machine to manual operation and tried to turn over only the rice crackers that had not been turned inside out. This machine can turn over several horizontal rows at the same time and several vertical columns at the same time, but unfortunately it cannot turn over rice crackers one by one. If it takes time to turn it over, the front side of the rice cracker that was not turned over due to the earthquake will be overcooked and cannot be shipped as a product. Therefore, we decided to increase the number of rice crackers that can be baked on both sides without overcooking the front side, that is, the number of "rice crackers that can be shipped". Consider the case where no horizontal rows are flipped, or no vertical columns are flipped. Write a program that outputs the maximum number of rice crackers that can be shipped. Immediately after the earthquake, the rice crackers are in the state shown in the following figure. The black circles represent the state where the front side is burnt, and the white circles represent the state where the back side is burnt. <image> If you turn the first line over, you will see the state shown in the following figure. <image> Furthermore, when the 1st and 5th columns are turned over, the state is as shown in the following figure. In this state, 9 rice crackers can be shipped. <image> input The input consists of multiple datasets. Each dataset is given in the following format. Two integers R and C (1 ≤ R ≤ 10, 1 ≤ C ≤ 10 000) are written on the first line of the input, separated by blanks. The following R line represents the state of the rice cracker immediately after the earthquake. In the (i + 1) line (1 ≤ i ≤ R), C integers ai, 1, ai, 2, ……, ai, C are written separated by blanks, and ai, j are i. It represents the state of the rice cracker in row j. If ai and j are 1, it means that the front side is burnt, and if it is 0, it means that the back side is burnt. When both C and R are 0, it indicates the end of input. The number of data sets does not exceed 5. output For each data set, the maximum number of rice crackers that can be shipped is output on one line. Examples Input 2 5 0 1 0 1 0 1 0 0 0 1 3 6 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 Output 9 15 Input None Output None
stdin
null
581
1
[ "2 5\n0 1 0 1 0\n1 0 0 0 1\n3 6\n1 0 0 0 1 0\n1 1 1 0 1 0\n1 0 1 1 0 1\n0 0\n" ]
[ "9\n15\n" ]
[ "2 5\n0 1 0 1 0\n1 0 0 0 1\n3 6\n1 0 1 0 1 0\n1 1 1 0 1 0\n1 0 1 1 0 1\n0 0\n", "2 5\n0 1 1 1 0\n1 0 0 0 1\n3 6\n1 0 0 0 1 0\n1 1 1 0 1 0\n1 0 1 1 0 1\n0 0\n", "2 5\n0 1 0 1 0\n1 0 0 0 1\n3 6\n1 0 0 0 1 1\n1 1 1 0 1 0\n1 0 1 1 0 1\n0 0\n", "2 5\n1 1 1 1 0\n1 0 0 1 1\n3 6\n1 0 0 0 1 0\n0 1 1 0 1 0\n1 0 1 1 0 1\n0 0\n", "2 5\n0 1 0 1 0\n1 0 0 0 1\n3 6\n1 0 1 0 1 0\n1 1 1 0 1 0\n1 0 1 0 0 0\n0 0\n", "2 5\n0 1 0 1 0\n1 0 0 0 1\n3 6\n1 0 1 0 1 0\n1 0 1 0 1 0\n1 0 1 0 0 0\n0 0\n", "2 5\n0 1 1 1 0\n0 0 0 1 1\n3 6\n1 1 0 0 1 0\n0 0 1 0 1 0\n1 0 1 0 0 1\n0 0\n", "2 5\n1 1 1 1 0\n0 0 0 0 1\n3 6\n1 0 0 0 0 1\n0 1 1 0 1 0\n1 0 1 1 0 1\n0 0\n", "2 5\n1 1 1 1 0\n1 0 1 0 1\n3 6\n1 0 0 0 0 1\n0 1 1 0 1 0\n1 0 1 1 0 1\n0 0\n", "2 5\n1 1 1 1 0\n0 0 0 0 1\n3 6\n1 0 0 0 1 0\n0 1 1 0 1 1\n1 0 1 1 0 1\n0 0\n" ]
[ "9\n15\n", "10\n15\n", "9\n14\n", "8\n15\n", "9\n16\n", "9\n17\n", "8\n14\n", "10\n16\n", "8\n16\n", "10\n14\n" ]
CodeContests
The squirrel Chokudai has N acorns. One day, he decides to do some trades in multiple precious metal exchanges to make more acorns. His plan is as follows: 1. Get out of the nest with N acorns in his hands. 2. Go to Exchange A and do some trades. 3. Go to Exchange B and do some trades. 4. Go to Exchange A and do some trades. 5. Go back to the nest. In Exchange X (X = A, B), he can perform the following operations any integer number of times (possibly zero) in any order: * Lose g_{X} acorns and gain 1 gram of gold. * Gain g_{X} acorns and lose 1 gram of gold. * Lose s_{X} acorns and gain 1 gram of silver. * Gain s_{X} acorns and lose 1 gram of silver. * Lose b_{X} acorns and gain 1 gram of bronze. * Gain b_{X} acorns and lose 1 gram of bronze. Naturally, he cannot perform an operation that would leave him with a negative amount of acorns, gold, silver, or bronze. What is the maximum number of acorns that he can bring to the nest? Note that gold, silver, or bronze brought to the nest would be worthless because he is just a squirrel. Constraints * 1 \leq N \leq 5000 * 1 \leq g_{X} \leq 5000 * 1 \leq s_{X} \leq 5000 * 1 \leq b_{X} \leq 5000 * All values in input are integers. Input Input is given from Standard Input in the following format: N g_A s_A b_A g_B s_B b_B Output Print the maximum number of acorns that Chokudai can bring to the nest. Example Input 23 1 1 1 2 1 1 Output 46
stdin
null
3,874
1
[ "23\n1 1 1\n2 1 1\n" ]
[ "46\n" ]
[ "23\n1 1 1\n2 2 1\n", "23\n1 2 1\n2 1 1\n", "23\n1 2 1\n2 0 1\n", "23\n0 2 1\n2 0 1\n", "23\n1 1 2\n1 1 0\n", "23\n1 1 1\n2 0 1\n", "23\n1 4 1\n2 1 1\n", "23\n1 1 2\n2 3 0\n", "23\n0 2 1\n4 0 1\n", "23\n1 8 1\n2 1 1\n" ]
[ "46\n", "92\n", "48\n", "27\n", "25\n", "47\n", "184\n", "71\n", "29\n", "368\n" ]
CodeContests
Deadlock Detection In concurrent processing environments, a deadlock is an undesirable situation where two or more threads are mutually waiting for others to finish using some resources and cannot proceed further. Your task is to detect whether there is any possibility of deadlocks when multiple threads try to execute a given instruction sequence concurrently. The instruction sequence consists of characters 'u' or digits from '0' to '9', and each of them represents one instruction. 10 threads are trying to execute the same single instruction sequence. Each thread starts its execution from the beginning of the sequence and continues in the given order, until all the instructions are executed. There are 10 shared resources called locks from L0 to L9. A digit k is the instruction for acquiring the lock Lk. After one of the threads acquires a lock Lk, it is kept by the thread until it is released by the instruction 'u'. While a lock is kept, none of the threads, including one already acquired it, cannot newly acquire the same lock Lk. Precisely speaking, the following steps are repeated until all threads finish. 1. One thread that has not finished yet is chosen arbitrarily. 2. The chosen thread tries to execute the next instruction that is not executed yet. * If the next instruction is a digit k and the lock Lk is not kept by any thread, the thread executes the instruction k and acquires Lk. * If the next instruction is a digit k and the lock Lk is already kept by some thread, the instruction k is not executed. * If the next instruction is 'u', the instruction is executed and all the locks currently kept by the thread are released. After executing several steps, sometimes, it falls into the situation that the next instructions of all unfinished threads are for acquiring already kept locks. Once such a situation happens, no instruction will ever be executed no matter which thread is chosen. This situation is called a deadlock. There are instruction sequences for which threads can never reach a deadlock regardless of the execution order. Such instruction sequences are called safe. Otherwise, in other words, if there exists one or more execution orders that lead to a deadlock, the execution sequence is called unsafe. Your task is to write a program that tells whether the given instruction sequence is safe or unsafe. Input The input consists of at most 50 datasets, each in the following format. > n > s > n is the length of the instruction sequence and s is a string representing the sequence. n is a positive integer not exceeding 10,000. Each character of s is either a digit ('0' to '9') or 'u', and s always ends with 'u'. The end of the input is indicated by a line with a zero. Output For each dataset, if the given instruction sequence is safe, then print "SAFE" in a line. If it is unsafe, then print "UNSAFE" in a line. Sample Input 11 01u12u0123u 6 01u10u 8 201u210u 9 01u12u20u 3 77u 12 9u8u845u954u 0 Output for the Sample Input SAFE UNSAFE SAFE UNSAFE UNSAFE UNSAFE The second input "01u10u" may possibly cause a deadlock. After one thread has executed the initial four instructions "01u1", the thread keeps only one lock L1. If another thread executes the first instruction '0' at this time, this thread acquires L0. Then, the first thread tries to acquire L0, already kept by the second thread, while the second thread tries to acquire L1, kept by the first thread; This leads to a deadlock. <image> -> <image> -> <image> Figure 1: Why the Sample Input 2 "01u10u" is unsafe. Contrarily, the third input "201u210u" is safe. If one thread had executed up to "201u21" and another to "20", then one may think it would lead to a deadlock, but this can never happen because no two threads can simultaneously keep L2. Example Input 11 01u12u0123u 6 01u10u 8 201u210u 9 01u12u20u 3 77u 12 9u8u845u954u 0 Output SAFE UNSAFE SAFE UNSAFE UNSAFE UNSAFE
stdin
null
4,006
1
[ "11\n01u12u0123u\n6\n01u10u\n8\n201u210u\n9\n01u12u20u\n3\n77u\n12\n9u8u845u954u\n0\n" ]
[ "SAFE\nUNSAFE\nSAFE\nUNSAFE\nUNSAFE\nUNSAFE\n" ]
[ "11\n01u12u0123u\n6\n01u10u\n8\n201u210u\n9\n01u12u20u\n3\nu77\n12\n9u8u845u954u\n0\n", "11\n01u12u0123u\n6\n01u10u\n0\n201u210u\n9\n01u12u20u\n3\n77u\n12\n9u8u845u954u\n0\n", "11\n01u12u3120u\n6\n01u10u\n0\n20u1210u\n5\n01u12u20u\n3\n77u\n12\n9u8u845u954u\n0\n", "11\n01u12u0123u\n6\n01u10u\n1\n201u210u\n9\n10u12u20u\n3\n77u\n12\n9u8u845u954u\n0\n", "11\n02u12u0123u\n0\n01u10u\n0\n210u210u\n9\n01u12u20u\n3\nu77\n21\nu459u548u8u9\n-1\n", "11\n01u12u0123u\n6\n01u01u\n0\n201u210u\n17\n01u12u20u\n1\n77v\n12\n9u8u845u954u\n1\n", "11\n01u12u0123u\n6\n01u10u\n-1\n210u210u\n9\n01u12u20u\n0\nu77\n2\n9u8u845u954u\n-1\n", "11\n01u12u0123u\n6\n01u10u\n-1\n210u210u\n9\n01u13u20u\n0\nu77\n3\n9u8u845u954u\n-1\n", "11\n01u123012uu\n6\n01u10u\n1\n201u210u\n9\nu02u21u10\n3\n77u\n12\n958u845u9u4u\n0\n", "11\n01u12u0123u\n6\n01u10u\n1\n201u210u\n9\n01u12u20u\n3\n77u\n12\n9u8u845u954u\n0\n" ]
[ "SAFE\nUNSAFE\nSAFE\nUNSAFE\nUNSAFE\nUNSAFE\n", "SAFE\nUNSAFE\n", "UNSAFE\nUNSAFE\n", "SAFE\nUNSAFE\nSAFE\nSAFE\nUNSAFE\nUNSAFE\n", "SAFE\n", "SAFE\nSAFE\n", "SAFE\nUNSAFE\nSAFE\nUNSAFE\n", "SAFE\nUNSAFE\nSAFE\nSAFE\n", "UNSAFE\nUNSAFE\nSAFE\nUNSAFE\nUNSAFE\nUNSAFE\n", "SAFE\nUNSAFE\nSAFE\nUNSAFE\nUNSAFE\nUNSAFE\n" ]
CodeContests
Gaku decided to observe the ant's nest as a free study during the summer vacation. The transparent observation case that his grandpa prepared for his grandchildren is very unique and looks like Figure 1. Ant nest Figure 1 This case consists of two congruent convex polygons s1 and s2 and some rectangles. Place one of the rectangular faces other than s1 and s2 so that it touches the floor. Gogo, who started observing, noticed that the height of the soil changed depending on how the bottom was selected, even though the amount of soil contained was the same (Fig. 2). Ant nest Figure 2 Gogo wanted to know how high it would be depending on how the case was placed. Create a program that outputs the maximum value of the soil height by inputting the shape of the convex polygon s1, the distance d between s1 and s2, and the volume V of the soil. The soil shall level as soon as the bottom of the case is placed on the floor. The s1 shape of the transparent case is given by n vertices on the two-dimensional coordinate plane. These vertices are entered in a counterclockwise order. n is 3 or more and 100 or less, and d and V are integers of 1 or more and 10,000 or less, respectively. In addition, x and y of the coordinates (x, y) of the vertices of the polygon shall be integers of -1,000 or more and 1,000 or less, respectively. V does not exceed the volume of the case. input A sequence of multiple datasets is given as input. The end of the input is indicated by three zero lines. Each dataset is as follows. 1st line n d V (integer integer integer; half-width space delimited) Coordinates of the first vertex on the second line x y (integer integer; half-width space delimited) Coordinates of the second vertex on the third line :: n + 1 Coordinates of the nth vertex on the 1st line The number of datasets does not exceed 20. output Outputs the maximum soil height for each input dataset. The answer must not have an error greater than 0.00001. Example Input 4 1 1 0 0 1 0 1 2 0 2 0 0 0 Output 1.000000
stdin
null
4,510
1
[ "4 1 1\n0 0\n1 0\n1 2\n0 2\n0 0 0\n" ]
[ "1.000000\n" ]
[ "4 1 1\n0 0\n1 0\n1 2\n-1 2\n0 0 0\n", "4 1 1\n0 -1\n1 0\n1 2\n-1 2\n0 0 0\n", "4 1 1\n0 -1\n1 0\n0 2\n-1 2\n0 0 0\n", "4 2 1\n0 -1\n1 0\n1 2\n-1 2\n0 0 0\n", "4 1 1\n0 0\n1 0\n1 2\n0 4\n0 0 0\n", "4 1 1\n0 0\n1 0\n1 2\n-1 1\n0 0 0\n", "4 2 1\n0 -1\n1 0\n2 2\n-1 2\n0 0 0\n", "4 1 1\n-1 -1\n1 0\n0 2\n-1 0\n0 0 0\n", "4 2 1\n1 -1\n1 0\n1 3\n-1 2\n0 0 0\n", "4 2 1\n0 0\n1 0\n1 2\n-1 1\n0 0 0\n" ]
[ "0.82842712709\n", "0.63567449160\n", "0.92820323152\n", "0.33385053757\n", "1.00000000020\n", "0.73205080935\n", "0.28284271411\n", "0.66666666862\n", "0.23106865865\n", "0.41421356491\n" ]
CodeContests
Two foxes Jiro and Saburo are playing a game called 1D Reversi. This game is played on a board, using black and white stones. On the board, stones are placed in a row, and each player places a new stone to either end of the row. Similarly to the original game of Reversi, when a white stone is placed, all black stones between the new white stone and another white stone, turn into white stones, and vice versa. In the middle of a game, something came up and Saburo has to leave the game. The state of the board at this point is described by a string S. There are |S| (the length of S) stones on the board, and each character in S represents the color of the i-th (1 ≦ i ≦ |S|) stone from the left. If the i-th character in S is `B`, it means that the color of the corresponding stone on the board is black. Similarly, if the i-th character in S is `W`, it means that the color of the corresponding stone is white. Jiro wants all stones on the board to be of the same color. For this purpose, he will place new stones on the board according to the rules. Find the minimum number of new stones that he needs to place. Constraints * 1 ≦ |S| ≦ 10^5 * Each character in S is `B` or `W`. Input The input is given from Standard Input in the following format: S Output Print the minimum number of new stones that Jiro needs to place for his purpose. Examples Input BBBWW Output 1 Input WWWWWW Output 0 Input WBWBWBWBWB Output 9
stdin
null
5,017
1
[ "WWWWWW\n", "WBWBWBWBWB\n", "BBBWW\n" ]
[ "0\n", "9\n", "1\n" ]
[ "WWWXWW\n", "WBWBWBBBWW\n", "BWBBW\n", "WXWXWW\n", "WWBBCWBWBV\n", "XWBBCWBWBV\n", "XWVBCWBWCB\n", "WWBBB\n", "XWVWVX\n", "WWBBBWBWBW\n" ]
[ "2\n", "6\n", "3\n", "4\n", "7\n", "8\n", "9\n", "1\n", "5\n", "6\n" ]
CodeContests
Problem N people with IDs from 1 to N are about to sit in N-legged chairs with numbers from 1 to N. The person with ID i wants to sit in the chair pi. N people are lined up in a row in ascending order of ID, and the first person in the row takes the following actions. 1. If no one is sitting on the chair pi, sit on that chair. 2. Otherwise, add 1 to pi and rearrange at the end of the column. However, if pi exceeds N, pi is set to 1. When this action is repeated until everyone sits in a chair, finally output the ID of the person sitting in each chair. Constraints The input satisfies the following conditions. * 1 ≤ N ≤ 105 * 1 ≤ pi ≤ N Input The input is given in the following format. N p1 p2 ... pN The integer N is given on the first line. N integers p1, p2, ..., pN are given on the second line, separated by blanks. Output Print the final state on line N. The ID of the person sitting on the chair i is output on the i-line. Examples Input 5 1 2 3 4 5 Output 1 2 3 4 5 Input 5 3 3 4 4 5 Output 4 2 1 3 5
stdin
null
2,069
1
[ "5\n3 3 4 4 5\n", "5\n1 2 3 4 5\n" ]
[ "4\n2\n1\n3\n5\n", "1\n2\n3\n4\n5\n" ]
[ "5\n2 2 3 4 5\n", "5\n2 2 1 4 5\n", "5\n3 2 1 4 5\n", "5\n3 4 1 4 5\n", "5\n1 4 3 4 5\n", "5\n4 2 1 4 5\n", "5\n3 4 1 5 5\n", "5\n1 4 4 4 5\n", "5\n4 2 1 4 2\n", "5\n1 4 4 5 5\n" ]
[ "2\n1\n3\n4\n5\n", "3\n1\n2\n4\n5\n", "3\n2\n1\n4\n5\n", "3\n4\n1\n2\n5\n", "1\n4\n3\n2\n5\n", "3\n2\n4\n1\n5\n", "3\n5\n1\n2\n4\n", "1\n3\n4\n2\n5\n", "3\n2\n5\n1\n4\n", "1\n5\n3\n2\n4\n" ]
CodeContests
problem Given two strings, find the longest of the strings contained in both strings and write a program that answers that length. Here, the string s included in the string t means that s appears consecutively in t. An empty string, that is, a string of length 0, is included in any string. For example, the string ABRACADABRA contains the following strings: ABRA, RAC, D, ACADABRA, ABRACADABRA, the empty string, etc. On the other hand, the string ABRACADABRA does not contain the following strings: ABRC, RAA, BA , K etc. input The input consists of multiple datasets. Each dataset is given in the following format. The input consists of two lines, the first line is given the first string and the second line is given the second string. The strings consist of uppercase letters and each string is 1 in length. More than 4000 and less. Of the scoring data, for 30% of the points, the length of each character string is 1 or more and 50 or less. The end of input is indicated by EOF. The number of datasets does not exceed 10. output Outputs the length of the longest string contained in both of the two strings given for each dataset on one line. Examples Input ABRACADABRA ECADADABRBCRDARA UPWJCIRUCAXIIRGL SBQNYBSBZDFNEV Output 5 0 Input None Output None
stdin
null
303
1
[ "None\n", "ABRACADABRA\nECADADABRBCRDARA\nUPWJCIRUCAXIIRGL\nSBQNYBSBZDFNEV\n" ]
[ "None\n", "5\n0\n" ]
[ "Nnne\n", "ABRACADAARA\nECADADABRBCRDARA\nUPWJCIRUCAXIIRGL\nSBQNYBSBZDFNEV\n", "DBRACAAAARA\nECADADBBRBCRDARA\nLCRIIXACURIGJWPU\nSBQNYBSBZDFOEV\n", "DBRACAAAARA\nECADADBBRBBRDARA\nLCRIIXACURIGJWPU\nSBQNYBSBFDZOEU\n", "DBRACAAA@RA\nECADADBBRBBRDARA\nLCRIIXACURIGJWPU\nSBQNYBSBFDZOEU\n", "CARBR@AA?CB\nABRDRBSBAACADACD\nLDRTIXAWURIHKCOI\nBBDDYRTBDNZOUQ\n", "AD?BB>ARCBQ\nCBBDQARCBEB@ADRA\nOVKRMDAESKVVHKXI\nZBARNTWBBCYCOQ\n", "A>?BR@BQ@BD\nBSDACBFQERB@CBBA\nIVXVOCJHEAJURKMR\nBA@CQXAYNSYTBP\n", "Nnnd\n", "ABRACADAARA\nECADADABRBCRDARA\nLGRIIXACURICJWPU\nSBQNYBSBZDFNEV\n" ]
[ "0\n", "4\n0\n", "3\n0\n", "3\n1\n", "2\n1\n", "2\n2\n", "4\n1\n", "1\n1\n", "0\n", "4\n0\n" ]
CodeContests
Exclusive OR (XOR) is an operation on two binary numbers $ x $ and $ y $ (0 or 1) that produces 0 if $ x = y $ and $ 1 $ if $ x \ ne y $. This operation is represented by the symbol $ \ oplus $. From the definition: $ 0 \ oplus 0 = 0 $, $ 0 \ oplus 1 = 1 $, $ 1 \ oplus 0 = 1 $, $ 1 \ oplus 1 = 0 $. Exclusive OR on two non-negative integers the following procedures: binary representation of the two integers are XORed on bit by bit bases, and the resultant bit array constitutes a new integer. This operation is also represented by the same symbol $ \ oplus $ For example, XOR of decimal numbers $ 3 $ and $ 5 $ is equivalent to binary operation $ 011 \ oplus 101 $ which results in $ 110 $, or $ 6 $ in integer format. Bitwise XOR operation on a sequence $ Z $ consisting of $ M $ non-negative integers $ z_1, z_2, ..., z_M $ is defined as follows: * $ v_0 = 0, v_i = v_ {i --1} \ oplus z_i $ ($ 1 \ leq i \ leq M $) * Bitwise XOR on series $ Z $ is defined as $ v_M $. You have a sequence $ A $ consisting of $ N $ non-negative integers, ample sheets of papers and an empty box. You performed each of the following operations once on every combinations of integers ($ L, R $), where $ 1 \ leq L \ leq R \ leq N $. 1. Perform the bitwise XOR operation on the sub-sequence (from $ L $ -th to $ R $ -th elements) and name the result as $ B $. 2. Select a sheet of paper and write $ B $ on it, then put it in the box. Assume that ample sheets of paper are available to complete the trials. You select a positive integer $ K $ and line up the sheets of paper inside the box in decreasing order of the number written on them. What you want to know is the number written on the $ K $ -th sheet of paper. You are given a series and perform all the operations described above. Then, you line up the sheets of paper in decreasing order of the numbers written on them. Make a program to determine the $ K $-th number in the series. Input The input is given in the following format. $ N $ $ K $ $ a_1 $ $ a_2 $ ... $ a_N $ The first line provides the number of elements in the series $ N $ ($ 1 \ leq N \ leq 10 ^ 5 $) and the selected number $ K $ ($ 1 \ leq K \ leq N (N + 1) / 2 $) . The second line provides an array of elements $ a_i $ ($ 0 \ leq a_i \ leq 10 ^ 6 $). Examples Input 3 3 1 2 3 Output 2 Input 7 1 1 0 1 0 1 0 1 Output 1 Input 5 10 1 2 4 8 16 Output 7
stdin
null
4,353
1
[ "3 3\n1 2 3\n", "7 1\n1 0 1 0 1 0 1\n", "5 10\n1 2 4 8 16\n" ]
[ "2\n", "1\n", "7\n" ]
[ "5 10\n1 2 5 8 16\n", "5 10\n1 2 5 8 14\n", "5 10\n1 2 5 14 14\n", "8 10\n1 2 5 24 14\n", "8 10\n1 2 5 24 11\n", "8 10\n1 2 5 6 11\n", "8 10\n0 2 5 6 11\n", "8 10\n0 1 2 5 11\n", "8 10\n0 1 2 5 9\n", "8 10\n0 1 2 5 18\n" ]
[ "7\n", "3\n", "5\n", "19\n", "21\n", "11\n", "10\n", "13\n", "14\n", "20\n" ]
CodeContests
Bozo is shifting his house. He has some balls and boxes which he has to shift. He now wonders how large a ball he can fit in a given box. Given the dimensions of a box, help Bozo determine the radius of the largest ball that he can fit in the box. Assume that an inflated ball will be spherical. Input:- The first line of the input will be T, the number of test cases. Next follows T lines each containing three space separated integers (L, B, H) which are the length, breadth and height of the box respectively. Output:- Print T lines each consisting of the radius(correct to 1 decimal place) of the largest ball that Bozo can fit in the box of dimensions corresponding to each test case. Constraints: 1 ≤ T ≤ 10^5 1 ≤ L, B, H ≤ 10^18 SAMPLE INPUT 3 1 2 3 3 3 7 987548 4578445 9645875456 SAMPLE OUTPUT 0.5 1.5 493774.0
stdin
null
281
1
[ "3\n1 2 3\n3 3 7\n987548 4578445 9645875456\n\nSAMPLE\n" ]
[ "0.5\n1.5\n493774.0\n" ]
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986094506581051103\n1049541487262790 514883 820517\n827489918230920259 108596965373473074 741253419721948\n1029428313309623 438132 199929261617399\n576 624818047603 172\n635231 1001368326199275 735120296420\n1047608517 220660657092098114 269\n420112619039 107541224 1100930236892214\n696667378772962 813034794 945333686905\n125040214627 187135 948\n183962009 473671100002764485 249395175133\n365 75600522 32309641723855246\n171468537923604 416 593\n237526154762 591250966941084557 936811400\n579921202920071810 990907316889733802 114686\n1638 100043843610 621\n522676738656586 563560809270 780208226593\n352745216400816528 719917615503787 521613974249810327\n518990599788 924399 770\n291480614040 904 824154847\n34631679877 877 856426129223726611\n267035121596 422844827765271 702237322026985\n196 385273408 462863\n851100447674 600022 584153838142106\n384016880 1017058 4454975219270403\n46302400634297088 719536181 634313522677653\n736513 107 606706441682\n984082857271243 371 130560194938712\n631187766878049 1066950191 876730814032\n350 25207090981945880 308\n427372631135 221120235657994131 1076175136006437\n169002556939 745 853651311413819428\n66159 500983719206 152112551\n790 632134578 10\n644886945 106421916 432093323825485898\n569464179740752 1079807891799521 1095641266359048\n396749160458202273 271 134943857120\n975690417657032356 806454 457636\n901 857 257\n120906176562189 702627551018854546 1023915\n675661 61052820687 792\n736492314689221 846730868207391 847\n466 350 67067166814663714\n12129999801274377 445942381556298 84207368118006821\n38380752591 340336976877574104 197418\n62192318078 56526752076035 1027722120482\n784755071123564 705692721585930 92\n611132612209306 569334 946068098448357\n177054 575124 27994226277\n187754 681147838736 376717712\n913 448 356\n1030496615122383 444788 690017\n445317181075488 282988 428\n", "97\n1005 224635873770 549\n126767170420699355 139813419711704 447\n540717802 731072457686 223515347599897\n498721 59138993209873635 322673220\n806560208523 679871362 517995\n864646 939316375846048334 136\n431317724665573537 526001104194 683\n8423 49720134784950518 1071109188008866\n640412 544663795001930 1022709959878319\n247428597 117170 137660\n139114261821442285 67108357906923174 1053606834239\n118415221946205775 942121100 183619650929\n267543 1009170455896 2005\n424850 141235399559564978 721005471459240\n375536919964 112287624391144 204271440\n1026209979435 930973 468238563700604718\n910 323046128248638 84894484\n663513939 782392114452555842 343725004034730345\n690342708 748773 323874\n303721005279691 193538164552824192 172641405395506673\n303593 728727822777 958241972074319884\n97711659 826826605 534\n914475 933552568194374541 195975\n669948 81017826 361790925342921\n162343897802459 429059 534709751571134884\n820500 952 487933346091660663\n541281509587567473 677321 48962\n697866037431581087 929839258161 330567141\n640266 536081905 755658963900\n695662213233787 1036247961 447764917\n1024188497081623 361935 557\n754022080980244297 488020083450 1094345672430360\n685187981391 983732 383806190\n707276195586 748 493977701582\n48062105644381 64632 462246310\n68 1065959311 21894931228874\n676623525 663672290477853296 41323053\n78352078203401 102027127886472931 475458260782\n257265532711542894 885711999868 887406\n941408 867218606353 1090950592588570\n573448 1035574992 59963\n541294073847118 980 993169009769431\n827743114258844 504653 1817188441097736\n26726982840336 623014541510463 66492821707193111\n834237 3969045614415473 986094506581051103\n1049541487262790 514883 820517\n827489918230920259 108596965373473074 741253419721948\n1029428313309623 438132 199929261617399\n576 624818047603 172\n635231 1001368326199275 735120296420\n1047608517 220660657092098114 269\n420112619039 107541224 1100930236892214\n696667378772962 813034794 945333686905\n125040214627 187135 948\n183962009 473671100002764485 249395175133\n365 75600522 32309641723855246\n171468537923604 416 593\n237526154762 591250966941084557 936811400\n579921202920071810 990907316889733802 178992\n1638 100043843610 621\n522676738656586 563560809270 780208226593\n352745216400816528 719917615503787 521613974249810327\n518990599788 924399 770\n291480614040 904 824154847\n34631679877 877 856426129223726611\n267035121596 422844827765271 702237322026985\n196 385273408 462863\n851100447674 600022 584153838142106\n384016880 1017058 4454975219270403\n46302400634297088 719536181 634313522677653\n736513 107 606706441682\n984082857271243 371 130560194938712\n631187766878049 1066950191 876730814032\n350 25207090981945880 308\n427372631135 221120235657994131 1076175136006437\n169002556939 745 853651311413819428\n66159 500983719206 152112551\n790 632134578 10\n644886945 106421916 432093323825485898\n569464179740752 1079807891799521 1095641266359048\n396749160458202273 271 134943857120\n975690417657032356 806454 457636\n901 857 257\n120906176562189 702627551018854546 1023915\n675661 61052820687 792\n736492314689221 846730868207391 847\n466 350 67067166814663714\n12129999801274377 445942381556298 84207368118006821\n38380752591 340336976877574104 197418\n62192318078 56526752076035 1027722120482\n784755071123564 705692721585930 92\n611132612209306 569334 946068098448357\n177054 575124 27994226277\n187754 681147838736 376717712\n913 448 356\n1030496615122383 444788 690017\n445317181075488 282988 428\n" ]
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"274.5\n223.5\n270358901.0\n249360.5\n258997.5\n68.0\n341.5\n4211.5\n320206.0\n58585.0\n526803417119.5\n471060550.0\n1002.5\n212425.0\n102135720.0\n465486.5\n455.0\n331756969.5\n161937.0\n151860502639845.5\n151796.5\n267.0\n97987.5\n334974.0\n214529.5\n476.0\n24481.0\n165283570.5\n320133.0\n223882458.5\n278.5\n244010041725.0\n491866.0\n374.0\n32316.0\n34.0\n20661526.5\n237729130391.0\n443703.0\n470704.0\n29981.5\n490.0\n252326.5\n13363491420168.0\n417118.5\n257441.5\n370626709860974.0\n219066.0\n86.0\n317615.5\n134.5\n53770612.0\n406517397.0\n474.0\n91981004.5\n182.5\n208.0\n468405700.0\n89496.0\n310.5\n281780404635.0\n359958807751893.5\n385.0\n452.0\n438.5\n133517560798.0\n98.0\n300011.0\n508529.0\n359768090.5\n53.5\n185.5\n533475095.5\n154.0\n213686315567.5\n372.5\n33079.5\n5.0\n53210958.0\n284732089870376.0\n135.5\n228818.0\n128.5\n511957.5\n396.0\n423.5\n175.0\n222971190778149.0\n98709.0\n31096159039.0\n46.0\n284667.0\n88527.0\n93877.0\n178.0\n222394.0\n214.0\n" ]
CodeContests
Write a program which reads two sequences of nodes obtained by the preorder tree walk and the inorder tree walk on a binary tree respectively, and prints a sequence of the nodes obtained by the postorder tree walk on the binary tree. Constraints * $1 \leq n \leq 40$ Input In the first line, an integer $n$, which is the number of nodes in the binary tree, is given. In the second line, the sequence of node IDs obtained by the preorder tree walk is given separated by space characters. In the second line, the sequence of node IDs obtained by the inorder tree walk is given separated by space characters. Every node has a unique ID from $1$ to $n$. Note that the root does not always correspond to $1$. Output Print the sequence of node IDs obtained by the postorder tree walk in a line. Put a single space character between adjacent IDs. Examples Input 5 1 2 3 4 5 3 2 4 1 5 Output 3 4 2 5 1 Input 4 1 2 3 4 1 2 3 4 Output 4 3 2 1
stdin
null
3,778
1
[ "5\n1 2 3 4 5\n3 2 4 1 5\n", "4\n1 2 3 4\n1 2 3 4\n" ]
[ "3 4 2 5 1\n", "4 3 2 1\n" ]
[ "4\n1 2 3 4\n2 1 3 4\n", "4\n2 1 3 4\n2 1 3 4\n", "4\n2 1 3 4\n3 1 2 4\n", "5\n1 2 3 4 5\n1 2 4 3 5\n", "4\n2 1 3 4\n1 2 3 4\n", "5\n1 3 2 4 5\n3 2 4 1 5\n", "4\n1 4 3 2\n1 2 3 4\n", "5\n1 2 3 4 5\n3 4 2 1 5\n", "4\n1 2 3 4\n1 2 4 3\n", "4\n2 1 3 4\n2 1 4 3\n" ]
[ "2 4 3 1\n", "4 3 1 2\n", "3 1 4 2\n", "4 5 3 2 1\n", "1 4 3 2\n", "4 2 3 5 1\n", "2 3 4 1\n", "4 3 2 5 1\n", "4 3 2 1\n", "4 3 1 2\n" ]
CodeContests
Snuke found N strange creatures. Each creature has a fixed color and size. The color and size of the i-th creature are represented by i and A_i, respectively. Every creature can absorb another creature whose size is at most twice the size of itself. When a creature of size A and color B absorbs another creature of size C and color D (C \leq 2 \times A), they will merge into one creature of size A+C and color B. Here, depending on the sizes of two creatures, it is possible that both of them can absorb the other. Snuke has been watching these creatures merge over and over and ultimately become one creature. Find the number of the possible colors of this creature. Constraints * 2 \leq N \leq 100000 * 1 \leq A_i \leq 10^9 * A_i is an integer. Input The input is given from Standard Input in the following format: N A_1 A_2 … A_N Output Print the number of the possible colors of the last remaining creature after the N creatures repeatedly merge and ultimately become one creature. Examples Input 3 3 1 4 Output 2 Input 5 1 1 1 1 1 Output 5 Input 6 40 1 30 2 7 20 Output 4
stdin
null
4,900
1
[ "5\n1 1 1 1 1\n", "3\n3 1 4\n", "6\n40 1 30 2 7 20\n" ]
[ "5\n", "2\n", "4\n" ]
[ "5\n1 1 1 1 2\n", "3\n3 1 3\n", "6\n40 1 26 2 7 20\n", "3\n1 1 3\n", "6\n7 2 21 2 9 20\n", "5\n1 2 1 1 2\n", "6\n40 1 26 2 9 20\n", "5\n1 2 1 0 2\n", "6\n40 1 21 2 9 20\n", "5\n1 1 1 0 2\n" ]
[ "5\n", "2\n", "4\n", "3\n", "6\n", "5\n", "4\n", "4\n", "4\n", "4\n" ]
CodeContests
F: Miko Mi String- story Mikko Mikkomi ~! Everyone's idol, Miko Miko Tazawa! Today ~, with Mikoto ~, practice the string algorithm, let's do it ☆ Miko's special ~~ character making ~~ The slogan "MikoMikomi" becomes "MikoMikoMi" in Roman letters! In other words, if A = “Mi” and B = “Ko”, you can write in the form of ABABA! In this way, a character string that can be decomposed into the form of ABABA by properly determining A and B is called "Mikomi character string"! Miko is a popular person for everyone to become the name of a character string! In order for everyone to use the Mikomi character string, I decided to make a program to judge whether the given character string is the Mikomi character string, but I can't write a program longer than Miko and FizzBuzz. !! So ~, for Miko ~, I want you to write a program that judges Mikomi character strings ☆ ...... You said it's cold now! ?? problem A character string S consisting of uppercase and lowercase letters is given. Here, if there are two non-empty strings A and B that can be written as S = ABABA, then S is said to be a "Mikomi string". At this time, uppercase and lowercase letters of the alphabet shall be distinguished as different characters. Create a program that determines whether a given string is a string. Input format The input consists of only one line including the character string S. It can be assumed that S satisfies the following conditions. * 1 ≤ | S | ≤ 10 ^ 6. However, | S | represents the length of the character string S. * S consists only of uppercase or lowercase alphabets. Since the input may be very large, it is recommended to use a high-speed function to receive the input. Output format If S is a character string, output "Love AB!" For A and B that satisfy S = ABABA. However, if multiple pairs of A and B satisfy the condition, output the one with the smallest | AB |. If S is not a Mikomi string, output "mitomerarenaiWA". Input example 1 NicoNicoNi Output example 1 Love Nico! Input example 2 Kashikoi Kawaii Elichika Output example 2 mitomerarenaiWA Input example 3 LiveLiveL Output example 3 Love Live! Input example 4 AizunyanPeroPero Output example 4 mitomerarenaiWA Input example 5 AAAAAAAAAAAAAA Output example 5 Love AAAAA! Example Input NicoNicoNi Output Love Nico!
stdin
null
4,323
1
[ "NicoNicoNi\n" ]
[ "Love Nico!\n" ]
[ "iNociNociN\n", "iNobiNociN\n", "iNoaiNociN\n", "iNoaiNochN\n", "NhcoNiaoNi\n", "NhcoNiNoai\n", "NhcoNjNoai\n", "NhboNjNoai\n", "NhbNNjooai\n", "NhbNOjooai\n" ]
[ "Love iNoc!\n", "mitomerarenaiWA\n", "mitomerarenaiWA\n", "mitomerarenaiWA\n", "mitomerarenaiWA\n", "mitomerarenaiWA\n", "mitomerarenaiWA\n", "mitomerarenaiWA\n", "mitomerarenaiWA\n", "mitomerarenaiWA\n" ]
CodeContests
Ikshu and his prime matrix Ikshu is in love with prime numbers. He has a matrix of size N X N and wants atleast 5 prime numbers in that matrix arranged like a cross as shown in figure. Let us call this matrix "new year matrix" X  X   X X  X If matrix is not a "new year matrix" he can alter it with the operation as described below: 1) Choose an element from the matrix. 2) Increment the value at the element by K assuring that value of element does not exceed 10000. Above operation can be applied any number of times. Example : Let matrix be: 2 2 3 4 5 6 7 8 9 and k be 1 He can perform 2 operations on (3,3) to get a cross centered at (2,2) with prime numbers = [2,3,5,7,11] constraints: 1 ≤ N ≤ 1000 1 ≤ K ≤ 5 1 ≤ any element of matrix ≤10000 Input: First line on input contains two integer N and K which is the size of the matrix, followed by N X N matrix. N is the size of the matrix and K is the value which is allowed to be add to any element of matrix. Output: First line of output contains "yes" if such cross is possible else it contains "no". If answer is possible, second line contains the minimum number of operations and third line contains the co-ordinate of center of cross(assuming indexing to be 1-based) If many such answers are possible, print the one with minimum row index, if many answers are possible with same minimum row index print the one with minimum col index SAMPLE INPUT 3 1 2 2 3 4 5 6 7 8 9 SAMPLE OUTPUT yes 2 2 2
stdin
null
322
1
[ "3 1\n2 2 3\n4 5 6\n7 8 9\n\nSAMPLE\n" ]
[ "yes\n2\n2 2\n" ]
[ "142 3\n1639 47 1213 1989 256 4557 1411 765 4454 4006 2184 4267 399 3040 244 457 4028 3120 2447 2609 949 1324 1954 2453 4273 4587 1632 2181 1378 2208 1911 3711 1136 2293 3119 62 4381 3621 2147 406 4974 4268 3514 1047 4315 2058 2339 1740 133 895 279 1040 4524 1291 1133 4166 3447 4112 1324 2564 3685 4367 4651 1511 2042 2086 1193 468 353 2706 4378 224 2318 3529 3730 1409 2125 2748 2731 3903 645 3038 538 1875 2212 3655 3951 4503 4199 4132 503 4096 162 4288 2793 4010 2476 4382 3684 4874 4247 556 3298 988 1681 3081 1374 2717 4673 2295 3988 3516 3232 1442 2457 3223 1518 4327 489 4291 669 2476 337 1210 4342 580 3042 262 3895 2311 3538 4748 3308 2580 2629 2355 1634 417 2566 480 1442 4436 \n4401 3237 1470 2228 3285 725 1996 1503 2292 2343 4248 4792 1576 1348 2083 3208 2041 2988 2697 690 1731 2718 2103 4834 3127 1460 1280 620 3512 2095 1081 145 4993 1950 1657 2285 3129 4452 281 4711 2387 4171 4752 4788 3072 2042 1763 3453 4238 1271 3785 4674 4475 4544 3595 534 3341 718 3809 3908 2174 744 3970 3461 3692 1547 4537 3734 2937 269 338 4029 1091 4682 478 1067 2047 4029 144 4416 3060 4033 3513 434 456 3694 1915 4715 2044 2863 4853 1113 3170 2982 3411 202 2149 1087 2808 4526 4842 4947 2470 2062 3448 4264 4912 38 3253 2877 4992 4898 194 4306 1068 1787 83 3486 4869 1442 4263 727 4398 3467 1303 2964 4271 2818 4295 929 2486 2396 970 1519 4670 2210 3763 453 4441 2258 268 566 \n2921 2949 3906 470 4962 3758 2373 2912 1159 1253 1422 643 1596 4804 3139 770 50 2797 632 4133 569 2445 2391 3538 375 2213 2592 3478 4380 963 2368 1788 2247 4210 1482 4470 1265 266 1855 3018 3988 2394 4895 858 4163 3739 1432 2074 3067 3335 756 3096 3537 4845 2632 2270 1053 2674 1934 1395 2235 2342 4444 2492 2595 574 2510 1740 1208 4231 125 3824 1494 4403 1143 2786 29 3799 3671 76 3346 4079 3732 4997 3852 1295 948 2905 2790 255 3406 554 663 2735 499 2587 1558 2800 2531 446 4984 2320 2591 3182 2130 3481 3615 1080 4407 4082 4426 1833 1022 393 4534 4795 1928 1659 2552 4133 4943 4776 95 897 4060 4430 2944 2341 1539 4663 614 3624 1165 3364 1438 858 3390 1720 3147 1759 1352 1300 \n2484 2947 2619 2127 1451 4576 2710 3623 1515 4850 1679 2920 4892 1601 3616 3382 1160 2034 4535 4291 524 4323 4687 1105 1856 1943 2716 4263 2189 2961 2612 4952 2263 1186 1649 1701 3001 4428 4031 1182 4816 2531 499 4159 1907 1558 4439 1265 371 2159 1481 1005 2916 4748 1760 4717 147 2539 2990 3077 2214 789 316 4367 1306 3829 4735 4873 2460 2545 1741 3453 4287 2090 4588 2469 473 2554 3852 4840 3409 2340 2096 3502 788 2900 4716 2904 4612 3623 1175 1058 1187 4666 4890 3961 2019 3520 121 1054 2938 1126 2047 3878 797 4422 3293 2485 2582 2049 4471 3806 4872 1018 502 3455 2782 560 3327 1947 1421 3781 4062 3149 1691 1664 1236 4446 3043 4101 4938 3207 2222 4890 4246 1225 910 4026 1554 3174 3292 291 \n2937 4359 3027 1587 2315 3796 2463 3617 4925 4856 236 3573 2057 942 1481 1430 2689 146 3788 3850 2637 3016 4050 350 1034 4235 3623 440 1726 1555 1264 1424 4373 2411 381 486 677 4170 524 478 280 3347 355 3614 4052 2780 1898 3095 4616 4555 1681 2073 2818 3371 3663 1740 2292 4618 2631 4783 1420 4622 3999 4872 4390 4967 552 1594 648 523 4083 968 3821 211 3953 1101 1405 1 1472 1140 3857 2058 3828 369 4454 4173 2109 3848 4719 4435 3721 4755 4388 869 1981 503 2283 1275 4537 1074 3470 4236 1505 181 1118 2362 1579 4368 1789 2312 2857 2987 911 2731 2265 2600 4303 2379 509 3486 672 4909 3476 1793 4581 4637 1448 150 1186 4371 2332 382 740 2999 4317 40 212 4101 213 3640 3961 3604 \n3832 3031 227 3440 2718 1493 3947 1502 318 4301 4511 887 1703 4415 2181 4339 152 1724 3674 2645 1542 4421 321 2481 376 4010 4637 3513 3198 4269 2504 4985 2542 139 2948 4618 2442 4479 1828 2048 1641 1187 1384 4582 1912 2767 2339 3848 302 3999 4768 1624 3507 3106 1373 703 1878 1993 1306 4073 3146 4002 111 2897 927 2430 1576 3540 2694 4765 1164 1381 2571 4653 2581 2992 850 3420 93 4007 3447 4054 1777 3501 2635 4775 424 195 4534 1266 3350 2414 2090 3885 156 3159 2335 4093 3339 402 2033 3908 3068 3180 2066 57 2695 305 4416 1455 2463 4992 2574 4169 1246 4861 4653 3534 4835 2638 3543 1766 2952 2518 3436 1078 740 3328 2535 577 2048 83 309 4026 329 2987 2610 2672 2819 1327 1384 1785 \n831 4636 4503 4449 3291 4506 2703 2741 3790 1398 2659 3603 3391 1714 1315 724 3734 151 4057 2833 1674 3059 1390 1432 4408 3886 4952 4138 3471 3899 4663 2189 166 4865 4197 4830 4967 1129 3429 3081 1377 4620 921 4094 2942 4986 4156 4445 1568 4925 4602 3108 196 403 4775 3668 3075 2214 3855 2459 1828 2565 238 2174 44 317 359 2944 4618 3193 2362 4952 1126 1390 1230 3316 2554 2711 909 2006 3945 442 2298 4385 2863 1474 677 2829 4731 1782 2672 1518 1884 269 3244 4212 3845 755 4181 1009 1045 2564 1706 3060 4222 3248 4556 3506 4385 3193 4043 4801 4555 4873 3434 2247 1900 1816 1611 4820 3772 2564 1297 20 976 2691 3667 1340 4701 1100 4307 4845 3682 1397 2314 374 3348 515 4222 3028 1308 3947 \n2302 4398 877 680 993 3200 4221 2332 744 2059 603 1646 153 610 4572 4509 3096 1015 3614 815 2375 398 2478 1750 2758 4813 1838 610 3127 4823 696 902 3715 2706 1150 2828 558 4542 4775 1120 247 4919 1268 4411 3350 4545 1819 46 3630 3561 3166 1160 961 550 4677 3573 3779 2391 420 2759 1802 3461 209 1397 3595 75 835 84 830 3369 862 4712 4011 364 1060 2865 3808 4138 4268 4758 1322 1491 982 719 3882 2470 131 3889 188 2761 4653 3272 386 2816 477 4711 1966 3027 1313 4653 3511 3308 883 1490 554 766 4904 114 2986 1420 1025 3828 490 1428 2516 1433 1018 1496 4782 377 3158 4307 159 2115 859 535 1239 2919 3585 1580 840 1566 2586 2986 2289 4312 918 1759 4649 3765 2712 1586 \n2682 102 4634 3814 1416 4973 3295 2641 4416 4403 3034 4772 1198 1374 97 3655 3254 2814 3989 4302 2573 4927 1894 4439 3879 623 1529 2061 3228 2108 1001 1501 690 3208 2188 1122 821 1627 2725 4235 1703 4650 2927 169 3894 989 27 318 1954 3852 1139 4183 1108 852 3948 3558 4477 2123 2239 2537 781 925 511 2817 4784 4877 3025 1390 4189 3691 4557 1728 3415 1144 1329 850 2134 3495 2247 1285 448 2267 2581 899 4119 4550 1082 1912 2012 834 610 4661 1642 3569 1760 1198 1933 1886 809 2717 4757 4314 784 4369 2471 3212 3691 687 2520 4926 432 1406 764 782 4894 1576 4393 92 831 4847 1716 1467 295 3756 4052 1696 1837 2015 1804 4142 2589 3576 903 1454 1275 2006 505 2220 4687 686 2786 997 \n885 1836 21 3555 1616 1843 3419 3840 4408 1969 2471 387 2846 465 942 227 84 4830 3827 4656 4241 1630 4478 4669 1684 3899 1011 3716 2243 3557 1575 2826 4669 2673 2088 2695 3751 3149 265 4600 4831 1269 4172 1312 4280 679 2838 4575 2221 660 4519 4284 2986 4135 3623 52 3063 4324 1899 3303 4167 631 3077 64 1922 133 4373 873 4078 3244 2425 2930 718 4675 2089 2130 1529 2286 1604 2876 4974 3249 2569 4614 2943 3781 1949 4998 3174 1375 3323 2912 2017 4753 3536 3341 4898 776 1062 2246 2528 989 2479 3964 818 3091 4320 88 1621 3211 4269 887 669 808 3003 2097 4114 4165 3648 3313 2784 460 1340 751 3715 1401 1120 3551 916 1670 858 2189 4328 2102 3573 1970 3687 3688 3313 3826 1390 3315 \n567 4082 3398 4949 353 3562 4346 2842 2419 3270 3668 3914 2535 2632 573 4897 3133 3903 4149 2157 1696 899 893 4630 436 4906 4252 1198 678 4160 2703 1447 4708 1195 212 2491 3091 2604 2265 1090 1361 4995 682 4056 3208 3916 3268 2101 2464 4451 4928 4100 185 385 1845 136 4921 511 1939 1328 2597 571 60 353 1741 3812 1484 3421 2702 3598 125 2746 2530 4232 2568 1255 2361 2492 2703 1307 3527 690 1707 1120 1053 2968 2221 2840 4200 501 1733 2929 4572 3897 3181 444 2289 1523 2728 4842 3063 2664 4122 2582 909 2358 1196 3994 3409 3353 3776 1078 1880 586 3915 3188 1328 4583 4702 2329 2825 2071 3591 2087 915 4123 4515 3889 1452 4382 608 3284 4929 3396 1934 3684 1310 4673 428 4132 1975 2208 \n988 1832 4935 2999 4637 4405 2390 2415 3530 2843 3699 314 238 1947 1648 4346 3369 23 2416 3318 3149 4642 1999 1490 2044 604 2846 3928 4048 1189 1114 2448 1166 3470 2004 3638 1013 1230 709 3007 2901 838 4822 4416 1811 3615 3125 2811 3324 883 3301 342 2181 651 4676 1369 3491 1125 636 223 2897 4783 3446 2536 2482 4273 4804 2654 1876 508 3023 3756 735 3541 48 3697 2585 2801 4692 621 3145 2277 1905 3670 1003 3081 4783 1510 2181 917 4109 4173 959 3301 216 2637 4898 4370 3307 4131 99 1992 3424 4004 3472 3566 3819 2404 1181 1441 3539 3992 1465 2419 820 259 572 4851 3964 491 2970 2499 1404 2862 3233 1586 3480 1667 926 584 3175 1862 1545 1907 3895 4419 639 1616 409 3256 4419 2994 \n3582 534 3111 1805 2853 1397 2531 927 2329 70 2846 2643 837 4966 3129 1214 2216 1243 1818 1188 2817 2396 2665 714 2370 1733 4443 3264 1497 4064 1812 68 1217 81 4281 1477 573 3285 3731 3434 4085 1129 1033 3749 323 693 3670 1582 778 4797 3617 4050 2752 467 717 2200 3160 831 2722 1019 1272 3915 3657 1866 209 683 3482 3487 4455 2231 37 3529 1693 1802 2649 4449 1762 4362 1321 2454 4904 2797 1985 3257 245 3084 4736 226 1880 1634 2255 1652 2425 945 888 1326 3022 3075 1381 1639 4592 3641 2521 4649 4386 4897 3811 3839 3777 2208 219 2901 2956 3935 280 2102 4420 3980 1546 1355 1052 2829 1475 556 3075 2535 3732 4344 1885 602 3246 3916 1672 3765 2470 2405 26 4625 2800 1799 77 2513 \n506 232 2263 3479 2281 2281 2577 2831 3862 3786 1148 1516 2379 2919 1079 2581 4018 1288 1585 3492 2094 4920 1013 4940 3198 1739 2532 2858 3746 3063 2694 2920 1606 558 2641 2427 3184 3426 459 3725 3876 4760 3701 1493 3076 1325 757 3235 4098 3599 805 1766 4449 319 4582 1876 796 2439 4742 4731 4804 557 2237 3189 3123 3855 2068 4042 2494 4115 2419 3744 198 4886 3265 517 3269 1008 4754 4512 4391 4833 2272 996 2690 2092 4536 794 1668 1634 3604 3701 3269 4152 1196 4891 1208 2173 315 2220 1815 3262 4519 2040 1892 2553 1724 2068 2533 3545 3534 1269 2168 1005 3954 4322 2436 4263 4635 1618 4688 664 550 522 4369 651 1204 3344 2317 1237 2742 3025 175 846 1766 660 1569 1603 1161 4997 7 1449 \n1027 4646 3482 415 633 2144 2248 4373 4577 4400 4842 3239 2612 4512 3043 1235 1757 1717 3994 245 1310 4822 4203 4166 4508 277 1356 375 3652 1525 1402 1324 3457 2837 2524 3533 4308 1592 2710 2137 472 4608 47 3995 1561 3740 4880 3963 410 3823 885 1063 4067 129 4777 3937 1793 477 335 1715 4014 1968 145 2704 3220 772 687 1027 486 3344 660 2728 2459 2596 3994 3609 447 3756 1265 3859 2005 3424 4988 3537 2754 4952 804 3977 3618 2567 601 963 4976 678 545 21 2077 3633 3351 569 1325 395 4843 170 4098 3318 2509 3435 4281 3111 2821 3089 3204 1430 2702 1444 3517 2393 4607 4916 3039 1975 4717 937 2193 1974 1859 4281 904 3667 1763 677 2736 4016 2581 810 59 4061 4830 994 2953 1708 \n895 1555 1531 1759 4651 2807 883 3027 4488 805 2011 1107 289 2931 1064 1823 4485 1715 3745 3184 4863 4011 1620 4137 1983 3461 4605 808 2010 1326 428 4370 4812 4006 4099 684 2217 3561 4706 904 3361 4152 336 1446 3821 4905 4133 312 1753 3085 2051 2225 2819 1549 3835 4475 2902 627 1825 2191 98 936 4906 2975 1931 3830 3243 2739 4808 1486 4580 3590 3042 959 3834 3767 2046 2020 2387 2585 4592 1910 259 4798 3313 172 694 1026 4331 2859 3709 1609 4572 940 3072 1970 4154 4916 1490 1537 3987 3937 4225 3430 4310 4606 1295 1827 2729 2512 1275 2038 1597 3824 3530 3934 1115 3680 1478 738 1188 4391 593 3030 1750 410 468 3386 99 3441 4419 720 1875 1407 1482 1632 321 4847 3855 4509 4794 1512 \n2060 3593 2883 1490 4360 1272 2204 2570 325 3732 1640 1425 738 803 1781 3853 690 2129 2070 3054 7 3106 1112 3908 3021 1789 2563 4433 999 4408 4514 2876 930 846 3115 1192 240 3357 4394 2856 2369 1593 3731 3349 899 2699 349 3811 1336 1721 1031 2881 1153 4571 3661 3973 2066 3297 2625 619 3617 493 3448 1365 67 1244 144 2682 496 2599 892 4361 2055 73 4260 4338 221 2205 2001 3389 600 3392 556 873 1240 2324 3481 300 3530 1731 605 764 4481 789 2237 585 887 645 166 3017 4889 1482 4627 3171 1961 4995 383 274 3030 3759 80 1259 1891 4994 2554 1770 2182 4074 3245 229 1256 1554 2513 1149 3685 808 2963 1850 4432 539 1605 3684 1620 440 1166 4402 4944 3829 982 222 350 2224 \n838 4840 4471 3653 2937 1453 65 674 3901 2569 3167 3629 4257 2639 565 3889 4162 172 4726 3573 1326 3253 3723 3105 1886 1257 4553 2781 1269 2133 3955 868 648 2786 2611 2752 412 595 1531 2104 4032 390 4599 4239 4261 3629 2675 2604 3208 1260 1193 389 2215 996 1174 437 2248 2290 747 4368 2833 1307 724 2818 4988 3072 579 677 4521 3459 3350 534 2456 1414 2385 689 821 1277 3496 4103 219 1625 3304 1216 4788 2726 4038 985 4663 3381 2560 1829 1486 3637 4974 4295 3668 4554 4357 656 3925 335 1945 693 902 4381 3380 3571 146 4897 1110 4469 4573 1116 1547 1963 2851 4852 578 3737 4639 1304 2999 3163 2347 1457 3150 3623 131 4552 3 2619 1571 3440 4219 424 1267 688 1874 3556 2274 2193 \n3320 3674 3181 1178 4762 4924 4748 3019 2816 474 2923 1981 2087 1236 1354 1911 2467 4704 3808 3661 2158 3266 4966 4984 1207 362 3808 4637 127 176 3945 2802 2793 636 3695 3025 4752 2305 304 4068 4915 3380 1784 367 2239 207 2158 2411 660 4227 3283 2285 1615 1941 1769 515 1437 2270 188 1159 105 1727 325 160 2349 2507 4845 3442 4440 2313 2765 271 4626 2794 1392 4155 715 103 1606 277 2904 695 3679 3489 2219 3151 1096 4253 4245 1309 1637 549 2709 4625 2341 4689 8 749 4975 4126 3935 3251 2642 4169 4704 2507 289 721 771 3596 3144 1467 1022 3173 3143 685 3125 4921 1155 876 3432 4095 4006 2814 1714 435 3966 639 2720 411 1340 1310 874 57 1137 1504 3132 3899 12 1259 1214 4547 \n4871 69 3314 4423 2233 3838 669 2822 2949 4245 2481 1644 53 1663 266 412 439 620 4214 3663 4039 1476 950 286 4225 4625 2508 4275 3085 3375 3867 1509 1467 1569 4804 1238 1178 224 1553 2948 4557 3509 4503 2236 807 3481 3583 1866 277 2746 856 2400 2715 626 1504 4636 742 2473 2023 3041 3619 4600 1251 1611 1452 4749 1678 205 2358 4529 1709 4480 806 2770 747 1753 3084 4343 4933 4968 1891 1121 3693 711 3834 809 3778 3505 1920 3233 4605 396 2773 3693 978 4983 3770 1158 1483 1957 3425 2852 3788 2423 13 4175 146 615 634 497 4383 1627 2183 1634 2229 4303 1872 3679 3720 4537 1762 3428 2688 4431 4033 4850 385 2097 4343 144 2562 2593 142 4029 3382 2018 1686 3837 885 4762 2410 4793 \n3986 3873 2157 2854 4025 3977 3095 3158 3883 3569 4531 4747 119 4644 2894 1120 3184 932 4926 1042 2291 3596 2086 3890 1000 4668 4369 3096 1250 4726 4199 2412 3138 4410 1451 4371 1567 1868 3061 2647 3500 3110 735 1773 4495 1909 800 1691 3522 4908 2377 1644 1623 2619 3106 4266 1573 3743 1620 3772 1908 3025 520 2037 1359 1552 4398 905 2128 1038 3345 2658 1837 829 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1868 507 4467 1297 2879 1090 1870 3035 4620 2986 3116 303 1981 4987 \n3206 2604 2586 943 3227 3094 3603 4437 3843 153 2682 4697 4665 1688 3174 4665 3183 3880 4664 866 361 478 1171 1845 2207 737 702 95 606 2641 4978 176 2330 2728 4348 3363 2666 867 142 2702 2799 1945 654 3926 3710 1454 2249 3430 4985 589 4806 2976 273 2709 3575 966 3882 818 4495 3046 4613 1614 3836 2076 60 1626 4633 1646 4483 618 1007 2143 2240 1365 3890 3986 592 1603 1583 2978 568 4450 1198 4077 3473 3340 791 4576 4751 1833 3768 4510 2087 2586 4538 1963 2037 1852 2277 1657 4848 3675 307 1852 4857 4936 798 523 3296 3967 1099 2667 2175 3545 3096 1538 3040 3835 566 4804 4922 2389 3535 2754 2556 4258 1068 4884 2710 3794 868 1050 4575 321 2831 2907 2847 2134 4541 1984 1005 868 \n1407 381 4806 3142 3942 4369 1603 309 4294 3230 1337 787 660 4073 4635 2367 4536 3376 201 4220 3803 4622 2940 783 3504 4455 4298 4180 984 2772 614 3732 2592 2513 2321 3426 3502 1827 187 4056 2516 4486 3133 4336 354 2030 3541 4191 2306 3971 3809 99 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4222 2493 2604 995 1895 3011 457 122 3146 361 3772 2845 1166 876 3801 3800 2650 2605 626 4705 1492 1584 2559 2749 4136 4965 1519 4297 4013 4221 1526 3167 1803 1052 32 4203 4023 4495 2531 4192 769 3506 3886 3012 4349 4834 2356 772 2680 2657 2440 3104 152 1759 185 4260 1253 1016 1887 868 3856 3431 4500 2024 1211 \n353 2649 505 1489 2836 3992 646 2765 3903 2459 3484 1352 1102 3027 2151 1378 2667 3915 1526 2516 3803 3238 4162 1424 3275 1339 811 1786 3725 1318 4461 1945 2690 350 4598 346 3195 4125 2383 2285 4757 1054 661 1403 4321 121 2483 1553 84 2844 2487 2094 1476 956 1270 2844 3579 1170 4417 4738 1293 3090 3616 4897 772 884 1717 1110 917 2045 617 2737 367 2377 3298 2755 1210 2619 3323 4382 2377 4270 2796 2868 2893 1991 4546 1942 2112 3786 4937 3535 1588 2246 982 2997 737 4679 4810 42 2750 1361 186 3213 3107 3974 2735 393 4376 3881 3424 2575 2667 4610 546 3795 2332 1246 1700 2658 61 770 4082 3096 1987 3662 1831 607 4365 3721 2351 4086 1624 330 1811 2896 3814 2058 2654 2960 2228 3699 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1480 1884 4271 3128 4086 2985 4727 \n2801 2029 132 2300 4873 2096 2816 4752 4391 3401 1489 114 2256 568 756 3853 2930 1328 2239 1912 2836 4825 246 333 1205 2845 1349 4137 2678 1414 3214 2037 2875 1431 4911 1786 1354 3274 2469 4238 2350 4079 3912 2798 980 4906 2932 125 1533 1306 4668 1879 2243 288 2460 2687 1623 171 2651 52 755 3235 1127 3756 1696 3707 4220 1940 4030 85 3809 1107 1742 394 4393 4905 1899 3833 4370 1788 457 3611 3168 4846 1800 2874 4290 1907 1130 777 4024 897 2218 347 2230 500 3820 3524 3919 648 3710 672 716 1089 3390 4107 1311 1791 519 1017 3148 978 3563 4767 4100 911 958 1549 1959 1078 301 3015 2054 2994 3160 2785 753 212 2780 2188 960 782 3943 574 950 1264 3881 1552 3173 2459 1285 2946 \n1449 4236 1764 1747 3194 3379 1424 475 1851 3342 1995 4564 3076 3290 3856 183 2555 101 3844 3308 4653 939 275 3106 2491 1124 2562 4930 2186 2127 1682 4314 1883 3181 36 1673 1353 4792 1659 4012 535 2438 2610 1126 4989 4385 4818 4846 2157 3948 2082 632 18 4437 4099 3075 4122 1228 3993 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4221 166 774 1203 132 3210 3897 4004 2739 3179 2443 1828 3543 2335 4871 84 890 855 1967 3664 3901 4204 3632 3095 344 1601 1005 499 3953 2770 4317 4733 338 2153 2711 1778 3314 3523 1055 1539 4598 496 4540 1364 4310 1815 3056 1386 3347 4129 1249 4637 3744 2935 4636 1268 2067 2521 2622 2476 2638 1158 3782 3596 2607 239 4459 2032 4643 485 1435 2321 1255 3710 3858 1907 1331 195 740 2049 3180 4606 1942 1982 733 1321 2561 3310 4065 4939 1490 1010 4315 805 1765 1151 4208 3273 1701 3721 3678 2891 4795 662 1502 2848 1096 1027 2893 1297 1233 4950 1813 131 3818 3499 \n1216 507 3568 52 4942 3206 1816 4816 20 198 2294 2632 866 2735 1562 1991 2069 2956 93 4788 2234 483 2277 4119 2141 1921 3943 1694 1459 2506 3413 1522 3874 4995 2668 4643 3267 482 4651 1638 4960 4476 1364 3884 3370 646 2139 3932 3427 454 665 3751 3440 4593 363 2682 3568 120 170 2703 515 1145 3364 301 1293 500 1534 2430 4411 3880 1024 3010 3318 2815 4172 4813 2256 2354 859 450 1177 206 1804 2197 2324 3047 1143 3968 3368 1661 1008 2276 3800 4968 3950 987 2423 185 3683 2372 3706 4497 3137 654 2056 3228 4166 4636 1610 4948 44 2221 4141 4090 323 2687 4723 1070 4553 3271 4386 3365 4910 3431 2456 1977 4065 1684 2864 2465 1047 4382 4123 837 2119 4324 4835 1313 206 1929 287 4113 \n1606 1966 3082 1463 3287 4924 3525 2561 1602 4546 1777 654 2085 2118 4423 4183 513 1724 1882 2415 1416 1532 4245 4856 1001 3875 2296 4425 2872 2070 753 4778 1278 1299 4097 822 1708 2780 4090 4196 3795 1294 4499 865 826 729 1589 3710 2306 4241 1647 4013 3063 2606 3419 4770 1113 1117 4959 3742 222 3197 1357 1930 4718 683 4644 4883 3977 2990 2750 1002 3710 4050 1801 2305 4640 2596 2701 923 1418 46 1603 3784 619 3236 957 838 1668 3319 4071 801 2546 4745 906 2174 2909 2533 3523 783 4523 1589 1514 3763 239 2119 1536 815 4631 4798 2779 1561 4685 3260 389 4070 4927 4409 2634 2929 3141 3147 1814 1426 3905 1741 4428 1241 2446 4058 1126 3298 2944 3001 1476 4918 1206 1168 2834 3388 3643 2270 \n1202 4186 4260 2443 3722 3724 3471 3103 1990 1633 1 916 3823 1602 4149 1555 4690 1664 2134 3755 1519 992 1232 4218 4482 4252 1341 2319 4674 2753 3542 4751 4216 1167 2970 3924 698 4622 3808 3679 1794 1815 2103 1197 3876 3546 3964 4995 4156 4476 105 4513 4968 1123 2830 1879 810 4168 3613 2052 2249 918 1005 608 3890 159 4650 159 1885 3879 4415 627 2767 3153 202 394 767 2599 943 3442 2261 4129 3402 972 4522 2688 4074 3361 1014 3743 2583 44 2807 277 2769 3489 1254 3731 3708 341 936 4874 654 4715 251 3617 4238 4293 1933 1218 2591 2131 2359 276 1736 2896 4574 1129 180 4595 2911 1832 3221 2153 731 3241 589 1433 2188 2606 3998 2650 1039 281 3804 2730 877 2522 4413 4252 781 2033 \n178 2619 2115 1144 3014 2688 731 649 4762 22 362 277 2059 2035 586 3747 4856 1040 682 2777 228 2040 2378 2660 3797 1721 1146 1199 4360 4268 3835 2265 3373 3292 1390 3520 4570 3013 4057 3934 3405 1790 1780 2707 4786 2158 4977 3462 4150 2730 2620 1087 1421 746 469 4694 1956 662 2845 900 3714 1520 858 1627 2055 848 4064 4653 4598 223 488 4159 4607 3402 3006 1972 2374 4936 3401 4475 1074 1500 2371 2059 4520 261 2391 3458 2651 4507 2184 819 96 4580 2429 77 1007 2468 3538 4255 3228 3141 53 2697 1756 2190 2118 229 4064 792 406 3022 1599 3175 4781 1537 2834 190 1305 1169 2986 821 1341 2221 4079 2651 4841 727 2003 374 910 2045 4771 3875 1888 1992 127 2441 3085 1728 1231 3154 \n4765 982 2748 4761 672 3965 2094 4720 1549 1860 3738 4953 643 4455 1035 530 1950 2637 3682 2425 4396 2722 1034 1475 2193 3918 4935 2735 4149 4933 4702 3139 4770 3141 44 891 4842 1542 463 1982 2826 3545 3990 1881 4692 3605 359 2926 228 2220 3399 1518 1433 3078 2011 4818 1950 2913 1473 1083 636 1881 4578 2885 755 2498 3585 85 4502 1356 100 214 3965 4953 3660 2079 4671 3839 4754 1986 4247 2686 1656 3264 994 4826 3 3290 2701 4813 426 3438 762 4352 3872 78 3668 2761 4457 1450 3909 4073 555 4424 3242 3024 4133 4309 1804 1161 723 1281 1015 1581 510 4598 2861 3606 3331 676 4577 4442 416 1794 1584 1111 4324 827 120 2622 522 3551 4192 407 2532 582 1323 3129 2229 3945 3471 602 \n3762 1990 832 296 1282 2612 2990 4360 2338 311 2989 700 1136 3987 4606 2247 2168 2903 3519 3797 3518 2255 1640 3204 4662 3185 3173 1882 3410 1385 3755 1819 2463 387 339 1020 2549 1287 937 3354 40 3424 1603 11 1008 3648 1024 1698 1054 2829 3242 2884 809 3753 588 4116 4641 3064 4259 508 1046 2484 3572 3257 2026 2184 1212 2221 2923 4859 299 2229 1065 1077 3561 689 3403 4327 3199 621 4523 4956 2533 1796 2285 2585 1856 2693 4220 2667 568 4559 2883 2093 2064 3178 3096 2246 3551 2820 3018 2393 3228 182 3145 270 2894 4484 4981 2448 1672 3931 2424 2508 3108 4142 4310 1086 2710 4428 2003 3986 1236 2120 2203 2686 2553 4464 488 4107 1401 4945 1393 3233 4994 2579 1205 2194 536 194 3874 3143 \n2250 1449 4669 1301 961 283 1020 1509 3956 3087 2418 4968 3139 2716 2477 1703 2495 1106 1436 4136 4072 4177 767 901 4769 1784 3983 4527 1202 2992 4943 1985 4109 1863 2950 2628 1244 1289 549 3329 2695 2738 2623 4015 3772 4240 3082 534 3119 4467 4645 2379 3908 4609 1950 4637 4543 411 4564 3098 2790 2297 3123 4729 3422 4809 1317 3265 217 614 487 1152 3743 671 1113 393 2747 4067 2896 3091 2901 1933 4461 4228 3268 1668 1328 2875 38 4850 3844 4323 553 1078 300 1779 4731 4615 4484 1973 3185 3479 1360 3353 4541 1294 3768 3996 4046 3798 2733 4438 799 1799 756 4977 2931 1783 4977 3413 1220 3108 3227 2103 3161 2911 3789 2376 2397 3848 2841 3209 1167 2861 1177 3267 3244 2447 1473 3827 2406 2022 \n3828 325 1009 1995 2019 4717 3869 744 2898 3823 111 1845 1112 2063 4797 3289 1430 4319 3880 2940 2061 1812 4505 1435 30 450 1905 2752 2952 2686 895 3376 4964 1288 4960 526 1587 2299 805 3054 3070 3939 3012 4349 603 2230 4241 1169 3452 4439 4869 4503 3133 419 4546 4417 134 3137 1711 1065 4329 851 3757 4712 1206 3358 2086 4541 3223 2821 2287 1705 496 1771 1869 4404 4086 2193 3839 1161 3599 1972 1191 638 2956 14 2035 3866 3931 4979 2101 735 3089 2401 372 1062 1292 1311 1715 198 2318 3209 2179 743 1995 1252 4367 4645 2429 1085 2646 4912 2806 4835 4101 4184 2669 3816 3965 2224 1467 4827 3705 4463 962 1390 4468 3709 1239 1556 1060 4623 681 1810 3551 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3128 778 4958 3840 2904 845 661 4576 2464 3813 1796 4542 965 1248 103 4826 4691 265 \n4480 204 1365 2322 384 4472 287 1873 4800 1030 2201 2752 224 1549 1958 4272 1185 3352 1724 1423 601 4785 3504 3804 788 3041 1398 3541 2522 833 1234 4955 4507 4717 673 203 3961 563 2664 3158 3266 498 4097 3074 2356 3685 1755 4443 140 73 2052 502 3830 4250 2194 2350 909 535 4454 3955 3823 499 3525 4827 1323 3525 2183 4780 4906 3766 3931 3599 4208 3395 2274 2919 2857 2498 4386 4030 785 4287 3494 2152 2727 1675 3866 3333 3079 121 4626 1643 4578 1763 45 659 3520 1458 3125 1677 1581 3367 952 3983 565 2554 4383 2415 4646 3029 2391 2874 805 4668 4177 2304 1937 3442 1340 543 2977 4830 2657 2262 404 3992 3894 3619 2220 148 4149 2960 930 2012 2964 4274 4113 4662 1819 1811 1741 649 \n1729 4153 1899 2624 1042 2427 4335 3659 3621 3771 2403 2615 3644 4770 3047 2285 4042 278 2108 215 3751 442 3762 4717 4948 1876 4014 819 2481 2946 2898 2256 3539 4819 782 1931 155 1144 3382 3959 1617 52 3863 1768 2410 557 2806 1452 2808 1181 4303 2722 2754 4622 4822 2632 4802 1093 2373 2806 4289 4412 2687 687 2399 971 3703 1677 922 3487 2618 2212 4089 4351 3927 4518 104 1226 1507 747 4017 4740 2298 4757 3273 4550 1844 1145 586 4532 417 2406 1950 139 1543 2049 4600 2539 170 4882 2449 2233 4958 2358 4476 3552 4442 2658 409 3567 3653 3706 3603 1624 1064 3935 4210 3570 3115 2865 1377 4983 3805 3563 4342 1201 1453 4521 4866 3868 4097 1829 3365 4481 3750 2076 4196 2986 3435 518 1778 4958 \n2996 3660 1884 2217 3979 2774 2705 2338 165 3198 4838 3386 2341 4945 806 1835 2174 3652 1307 2317 4148 1292 4241 4222 3643 3420 915 83 1633 2663 1093 1269 1447 2083 852 4561 3845 278 1307 140 1455 838 4553 1210 2755 965 3960 4414 4053 2017 295 2076 1964 496 1118 857 3203 4961 1172 4347 3867 4036 3270 4057 3783 1324 1457 3895 2091 4864 4045 1611 2147 3538 4376 3652 3259 1934 4061 969 4425 527 4092 3853 1926 477 631 4631 3503 2189 2145 3745 1042 2210 873 4793 222 2942 826 1362 1681 3956 939 3870 2820 1627 4631 1151 4908 754 2445 3904 1784 448 3840 2845 3661 1093 227 4359 2073 1545 4423 4428 2637 2410 3222 710 2644 2509 2349 2232 4690 2196 3408 4141 458 2666 4465 4734 3466 2389 \n3302 4289 180 626 2419 1487 3414 2759 4355 3396 1087 680 1995 969 4136 808 1067 4094 4841 2364 535 4359 2272 3651 1999 3072 1879 4823 3002 3578 309 1994 3774 3209 1508 276 4058 1490 2569 1394 2477 618 2970 1360 2672 646 2903 43 921 1878 3575 3982 4517 535 3136 2126 2467 3523 2243 3223 1037 437 78 4251 2369 3685 4665 1799 4548 4392 4039 2024 1674 4489 3541 3849 4317 4182 4347 3298 2023 3776 1984 4984 299 4672 4670 477 4984 4263 1764 2483 1353 1971 1253 4365 2604 430 4291 2775 4792 1553 3833 477 4032 339 2319 2567 3909 1041 49 2668 3216 2135 996 3236 3892 172 4460 39 2849 1232 1904 4592 1204 2508 3608 1138 592 940 4329 3722 3857 537 1555 2796 2601 2576 1222 1145 648 2985 \n3516 4361 3329 1299 3638 1157 1414 4958 1519 3667 2391 3702 1565 637 4107 1304 4447 1548 2536 3787 190 3959 4439 1423 1297 4187 3722 4385 2023 4076 1266 456 1112 3434 2075 3030 1268 4844 4837 2983 912 4227 4040 2072 2649 4241 4826 232 570 4956 3214 3640 4216 30 1973 2153 658 3984 2826 3802 4128 1395 2348 3231 1617 4740 1906 3571 3959 4302 2649 1251 2049 3250 4211 4832 4327 146 718 415 3314 2892 113 1540 3694 4060 1160 1762 2795 3982 2230 952 2148 1650 4619 4991 2122 2048 3334 2433 4811 2246 3612 167 597 4309 2665 2014 3536 1582 3911 3618 1731 2577 3166 4007 4722 2822 1124 4224 3840 4590 4399 977 3156 3373 3469 4813 1226 52 15 41 1815 567 1595 3495 3871 1230 2365 4594 4216 4649 \n2506 118 678 3486 965 908 4510 860 4254 1999 4122 1465 1892 3952 1883 3438 1657 2582 3536 1297 2624 3582 930 2833 4718 928 410 2313 1704 4537 3176 1075 2682 3564 2633 184 4020 3511 4695 3048 2523 1268 312 186 3281 2401 1275 2408 3171 4610 3081 4359 2541 71 420 4830 4827 4499 4516 1762 1878 430 2811 1806 3035 463 1831 660 1873 853 2295 4096 1530 1343 2022 12 355 2669 4463 3242 4671 2088 4243 3522 4738 3193 4438 1770 488 4975 4656 1318 3826 4596 3442 2660 2229 836 341 1634 4559 3120 3163 157 3452 1448 3395 4229 436 4773 3325 4994 4739 3488 4704 1702 606 2108 1185 4133 4534 4013 136 3349 4257 3285 76 3024 728 2680 2533 4937 1677 1197 990 1672 600 2880 3436 3310 391 2076 \n3828 3797 685 4438 3137 1036 755 699 1828 2703 3194 4128 938 460 1219 1460 1480 3694 4943 4201 4769 3397 273 1547 4795 3017 267 659 4580 3090 2830 1996 3186 4457 1171 2324 3375 1996 4867 1080 1635 1322 1718 3627 4358 1123 1847 1496 3410 4002 1227 2908 3126 141 2275 4984 3719 2635 405 2526 3521 467 2795 1213 281 1763 556 4651 3108 3255 1047 45 3408 3374 4653 14 1756 4142 3889 4525 1724 3094 737 4518 276 4869 4094 4550 4981 2001 3814 2769 3872 2234 136 1899 2424 605 4604 299 612 4252 2948 3401 4735 3333 806 1512 116 4622 555 4475 2747 2632 3540 1215 3859 263 1761 800 2620 4809 1190 2927 1057 1290 3335 2891 782 1640 4939 1329 2659 2155 271 3611 2008 3604 1409 1909 1336 3648 \n1307 4050 4323 506 2721 4150 812 2683 3950 3570 4549 877 4052 46 2653 2642 1502 341 4626 3959 466 4965 2870 2196 3868 782 1575 3000 410 3634 1040 4113 3405 4028 2032 565 2148 758 394 4904 4952 2445 1779 4868 1368 2865 4476 1606 803 4003 4298 2914 2621 4937 2654 4815 3572 2312 3905 3113 3144 2771 4235 2866 2680 3423 2590 362 1033 2633 4754 801 2109 1930 4961 2520 2803 1398 2713 3618 639 2559 4302 1620 3463 44 2210 4593 2320 1177 3218 37 4341 4277 1551 4772 2889 3116 3466 4635 2744 2397 250 3755 3221 2352 2336 226 2844 2372 3519 3882 708 2770 3792 2158 1315 1671 436 764 4519 4388 2907 340 2626 4750 2964 289 4031 2940 4196 4623 2831 4777 3173 4929 340 2600 3432 4712 172 3908 \n3871 1930 1509 409 2946 800 1979 2223 448 1087 4468 3730 1356 3953 3577 2475 2136 3528 3863 4961 3972 669 3311 1677 1246 4467 2445 882 757 2723 1758 1101 3894 3825 3920 1706 447 4993 1488 2269 2410 1071 1320 2572 840 3052 1042 3860 1254 4835 2914 1309 1189 581 1809 2506 4051 4386 530 4955 695 909 881 4108 2270 2215 155 3233 4274 1684 2473 1070 2729 4388 1138 3514 548 589 2359 1620 4372 2328 3316 3832 688 2154 579 1315 3494 3357 4492 3330 1796 1995 2805 1164 1939 542 4072 601 4959 4846 768 3128 1976 2804 3446 1280 520 4823 3954 1970 286 919 2816 4754 3145 1893 582 3033 1876 3116 757 1856 3422 1809 853 187 2870 4846 4066 1964 3086 148 1652 3129 2217 3368 4431 2809 2486 2737 \n282 2587 2771 905 1939 4338 1752 3240 386 4105 540 364 4271 1209 1457 3193 167 4227 1169 1577 2203 4488 4999 910 2803 4196 1435 2748 3621 2508 4007 819 712 2345 87 2662 1894 3704 295 4271 2987 2794 1549 3001 1366 4337 2866 4809 4068 3225 2883 2192 3561 4783 3174 3191 665 4581 2253 2139 2451 3623 3223 4059 1420 3668 3383 729 1079 4272 2814 2253 2253 4842 112 4471 15 4219 338 4883 4747 818 4990 4786 791 3223 3356 710 3488 2034 2962 3050 3249 2984 3595 1196 573 1318 4056 2164 2983 529 1876 3477 4966 843 3045 2960 2628 3313 3867 1782 4051 78 1376 3101 707 133 2191 3783 3745 285 891 713 4965 729 4388 4679 4264 2806 581 4455 2007 887 3107 871 2121 854 3791 1398 3684 140\n", "27 2\n5 42 4 90 70 49 26 25 32 40 34 61 58 42 11 75 33 93 44 19 32 49 69 67 15 74 88 \n70 35 54 48 39 80 8 58 21 28 49 44 84 42 75 5 69 93 39 70 80 50 52 8 9 40 52 \n29 42 58 73 82 16 68 60 87 54 96 83 33 81 54 3 54 94 36 4 26 86 79 94 79 22 96 \n68 54 74 18 12 58 66 89 35 33 22 77 34 26 37 55 92 55 78 68 63 83 72 48 84 10 42 \n79 83 1 73 90 87 12 92 68 99 8 43 99 25 11 87 42 83 69 3 63 15 71 40 96 16 60 \n66 85 91 86 82 24 96 75 27 58 46 92 12 24 46 42 15 76 65 76 27 55 57 95 49 14 34 \n28 62 69 49 53 32 14 51 88 39 43 25 87 3 52 35 65 19 56 75 43 73 9 23 38 1 53 \n74 59 48 23 38 2 44 74 11 8 34 57 5 80 15 11 31 99 42 19 90 8 98 74 59 56 82 \n73 89 23 26 39 49 42 42 67 62 58 49 72 98 7 99 58 80 84 50 59 90 98 27 76 41 44 \n48 70 57 80 12 77 75 36 78 70 92 84 1 23 9 86 70 9 83 50 82 79 67 18 69 97 90 \n9 84 84 15 11 91 43 86 25 21 54 43 78 78 65 29 39 82 66 97 24 19 39 7 73 81 40 \n66 48 44 87 2 84 78 88 31 57 18 91 77 41 19 41 42 83 34 26 42 11 37 24 84 25 44 \n33 38 29 36 48 10 1 55 78 33 71 27 24 46 53 27 23 54 63 32 48 43 70 69 63 2 10 \n48 27 2 6 52 21 80 31 81 22 62 51 56 18 4 21 4 97 38 12 47 5 64 22 29 84 66 \n23 49 97 10 93 47 87 61 55 32 51 80 70 21 1 42 33 71 92 42 31 31 2 68 75 4 41 \n85 91 9 63 53 92 45 40 41 30 38 97 32 28 73 22 56 35 48 59 53 49 77 95 62 88 49 \n82 50 13 38 99 43 32 36 25 39 64 3 26 67 20 40 19 44 85 4 26 58 10 63 50 1 69 \n58 9 7 84 64 12 19 20 99 29 35 96 26 58 90 17 38 79 52 53 15 23 62 42 57 23 91 \n4 35 23 78 46 2 42 50 55 89 1 2 71 42 14 8 70 31 12 44 27 41 45 94 11 59 91 \n81 53 45 85 55 22 13 75 61 8 58 40 80 91 55 16 6 4 58 3 13 44 85 16 63 61 80 \n85 99 58 9 89 47 94 23 73 41 76 29 57 9 4 31 67 88 54 79 97 49 50 53 57 31 5 \n34 89 45 15 43 55 31 34 57 98 76 14 47 59 83 47 40 31 53 80 36 21 36 75 1 54 25 \n54 69 63 34 8 61 25 38 81 2 76 49 44 85 87 21 24 39 13 73 60 51 54 73 44 56 19 \n90 2 80 63 56 44 39 4 61 27 44 45 26 1 70 64 3 19 39 72 23 55 14 9 94 67 9 \n36 43 71 30 75 76 59 86 62 38 4 84 98 83 3 80 76 63 34 83 23 33 28 87 85 68 58 \n27 66 43 89 63 28 48 35 1 32 52 11 55 7 92 36 56 31 60 23 47 75 10 27 47 18 50 \n88 6 89 51 77 38 55 26 27 53 97 53 35 28 92 63 28 79 75 56 9 43 8 59 98 1 91\n", "3 1\n2 2 3\n4 5 6\n7 8 9\n\nSAPMLE\n", "3 1\n0 7 3\n3 5 3\n7 14 6\n\nSAPEMM\n", "27 2\n10 42 1 90 70 49 26 25 32 40 34 61 58 42 11 75 65 93 44 19 32 49 124 67 23 74 88 \n70 35 54 48 7 80 8 58 21 28 49 44 84 42 75 5 72 93 39 70 80 50 52 8 9 40 52 \n29 42 58 73 82 16 68 60 87 54 96 83 33 81 54 3 54 94 36 4 38 86 79 94 79 22 127 \n68 54 99 33 12 58 66 89 35 33 22 108 34 26 68 55 92 55 78 68 89 100 16 48 158 10 42 \n79 83 1 73 90 87 12 92 68 99 7 43 99 25 11 87 42 83 41 3 63 15 71 19 96 13 117 \n66 19 91 86 105 24 96 75 27 58 46 92 12 24 46 18 7 76 65 76 27 55 57 95 49 14 34 \n28 62 69 49 53 32 14 87 88 39 0 25 87 3 52 6 65 19 56 75 43 73 9 23 38 1 53 \n74 59 48 23 38 2 44 74 11 8 34 57 2 80 15 21 31 136 42 19 20 8 98 74 59 56 17 \n73 89 23 26 39 49 42 42 67 62 3 49 43 105 7 99 58 80 84 50 59 90 29 27 76 41 3 \n48 70 57 80 12 77 75 36 61 70 145 84 1 23 9 153 70 9 83 50 82 79 67 18 69 97 90 \n7 84 84 15 11 91 43 62 9 21 54 43 78 78 65 29 39 82 47 115 24 19 39 7 73 65 40 \n66 48 44 87 2 84 78 88 31 57 18 91 77 41 19 41 42 83 47 26 42 11 37 24 84 0 44 \n33 24 29 36 48 10 2 55 78 51 12 27 24 46 53 27 23 6 67 32 43 43 70 69 22 2 10 \n48 27 2 6 103 21 80 47 81 22 62 51 56 0 4 21 0 97 38 12 47 5 64 22 29 84 66 \n20 49 97 9 93 47 87 61 55 32 51 80 70 21 1 42 1 59 92 42 31 31 2 68 75 0 41 \n120 91 9 63 53 92 45 13 41 30 38 97 63 28 73 22 56 35 52 59 53 49 77 95 62 88 24 \n82 50 1 38 99 43 43 36 25 13 64 3 26 67 20 76 19 44 85 5 26 113 10 63 50 1 69 \n58 6 7 84 64 2 19 20 99 29 35 166 40 58 90 26 38 156 52 53 15 46 62 42 57 23 91 \n4 35 23 151 63 2 42 50 55 89 1 2 71 42 14 8 70 52 12 44 27 21 45 94 11 63 100 \n81 53 45 85 55 22 13 75 61 8 58 27 80 91 55 16 6 4 58 2 13 44 85 16 63 61 80 \n85 99 58 9 89 47 94 23 73 41 76 29 57 12 4 29 67 152 22 79 97 49 68 53 57 55 5 \n3 69 45 15 43 55 31 34 57 98 76 14 47 59 83 47 40 31 53 80 36 21 36 75 1 54 25 \n54 69 63 34 8 61 25 38 58 2 76 49 44 85 87 10 24 113 13 73 60 51 54 73 44 56 11 \n90 2 80 41 56 44 23 4 61 5 44 45 26 1 70 64 3 19 39 72 23 55 14 9 94 67 9 \n36 43 71 30 75 76 59 86 62 38 4 84 98 83 3 80 76 49 28 83 23 33 28 87 99 54 58 \n30 66 43 89 63 28 48 35 1 32 52 11 55 7 92 36 56 31 60 16 47 75 10 27 47 18 50 \n88 6 89 51 77 38 55 26 27 53 97 53 35 28 92 63 28 79 75 56 9 43 8 59 98 1 91\n", "27 1\n10 42 1 90 70 49 26 25 21 40 34 61 58 42 11 75 65 93 44 19 32 49 124 67 23 74 88 \n70 35 54 48 7 80 8 58 21 28 49 44 84 42 75 5 72 93 39 70 80 50 52 8 9 40 52 \n29 42 58 73 82 16 68 60 87 54 96 83 33 81 54 3 54 94 36 4 38 86 79 94 79 22 127 \n68 54 99 33 12 58 66 89 35 33 22 108 34 26 68 55 92 55 78 68 89 100 16 48 158 10 42 \n79 83 1 73 90 87 12 92 68 99 7 43 99 25 11 87 42 83 41 3 63 15 77 19 96 13 117 \n66 19 91 123 105 24 96 75 27 58 46 92 12 24 46 18 7 76 65 76 27 55 57 95 49 14 34 \n28 62 69 49 53 32 14 87 88 39 0 25 87 3 52 6 65 19 56 75 43 73 9 23 38 1 53 \n74 59 48 23 38 2 44 74 11 8 34 57 2 80 15 21 31 136 42 19 20 8 98 74 59 56 17 \n73 89 23 51 39 49 42 42 67 62 3 49 43 105 7 99 58 80 84 50 59 90 29 27 76 41 3 \n48 70 57 80 12 77 75 36 61 70 145 84 1 23 9 153 70 9 83 50 82 79 67 18 69 97 90 \n7 84 84 5 11 91 43 62 9 35 54 43 78 78 65 29 39 82 47 115 24 19 39 7 73 65 40 \n66 48 44 87 2 84 78 88 31 57 18 91 77 41 19 41 42 83 47 26 42 11 37 24 84 0 44 \n33 24 29 36 48 10 2 55 78 51 12 27 24 46 53 27 23 6 67 32 43 43 70 69 22 2 10 \n48 27 2 6 103 21 80 47 81 22 62 51 56 1 4 21 0 97 38 12 47 5 64 22 29 84 66 \n20 49 97 9 93 47 87 61 55 32 51 80 70 21 1 42 1 59 92 42 31 31 2 68 75 0 41 \n120 91 9 63 53 92 45 13 41 30 38 97 63 28 73 22 56 35 52 59 53 49 77 95 62 88 24 \n82 50 1 38 99 43 74 36 25 13 64 3 26 67 20 76 19 44 85 5 26 113 10 63 50 1 69 \n58 6 7 84 64 2 19 20 99 29 35 166 40 58 90 26 38 156 52 53 15 46 62 42 57 23 91 \n4 35 23 151 63 2 42 50 55 89 1 2 71 42 14 8 70 52 12 44 27 21 45 94 11 63 100 \n81 53 45 85 55 22 13 75 61 8 58 27 80 91 55 16 6 4 58 2 13 44 85 16 63 61 80 \n85 99 58 9 89 47 94 23 73 41 76 29 57 12 4 29 67 152 22 79 97 49 68 53 57 55 5 \n3 69 45 15 43 55 31 34 57 98 76 14 47 104 83 47 40 55 53 80 36 21 36 75 1 54 25 \n54 69 63 34 8 61 25 38 58 2 76 49 44 85 87 10 24 113 13 73 60 51 54 73 11 56 11 \n90 2 80 41 56 44 23 4 61 5 44 45 26 1 70 64 3 19 39 72 23 55 14 9 94 67 9 \n36 43 71 19 75 76 59 86 30 38 4 84 98 83 3 80 76 49 28 83 23 33 28 87 99 54 58 \n30 66 43 89 63 28 48 35 1 32 52 11 55 7 92 36 56 31 60 16 47 75 10 27 47 18 50 \n88 6 89 51 77 38 55 26 27 53 97 53 35 28 92 63 28 79 75 56 9 43 8 59 74 1 91\n", "27 1\n10 42 1 90 70 49 26 25 21 40 34 61 58 42 11 61 65 79 44 19 32 49 124 67 23 74 88 \n70 35 54 48 7 80 8 58 21 28 49 44 76 42 75 5 72 93 39 70 80 50 52 8 9 40 52 \n38 42 58 73 82 16 68 60 69 54 96 83 33 81 54 3 54 94 36 4 38 86 79 94 79 22 127 \n68 54 99 33 12 58 66 89 35 33 22 108 34 26 68 55 92 36 78 68 89 100 16 48 158 10 42 \n79 83 1 73 90 87 13 92 68 99 7 43 99 25 11 87 42 83 41 3 63 15 77 19 96 8 117 \n66 19 91 123 105 24 96 75 27 58 46 92 12 24 46 18 7 76 65 76 27 55 57 95 49 14 34 \n28 62 69 49 53 32 14 87 88 39 0 25 87 3 52 6 65 19 56 75 43 73 9 23 38 1 53 \n74 59 48 23 38 2 44 74 11 8 34 57 2 80 15 21 31 136 42 19 20 8 98 74 59 56 17 \n73 89 23 51 39 49 42 42 67 62 3 49 43 105 7 99 58 80 84 50 59 90 29 27 76 41 3 \n48 70 57 80 14 77 75 36 61 70 145 84 1 23 9 153 70 9 55 50 82 79 67 18 69 97 90 \n7 84 84 5 11 114 43 62 9 35 54 43 78 78 65 29 39 82 47 59 24 19 56 7 73 65 40 \n66 48 44 87 2 84 78 88 31 57 18 91 77 41 19 41 42 83 47 5 42 11 37 24 84 0 44 \n33 24 29 36 48 10 2 55 78 51 21 27 30 46 53 27 23 6 67 32 43 43 70 69 22 2 10 \n48 27 2 6 103 21 80 47 81 22 62 51 56 1 4 21 0 97 38 12 47 5 64 22 29 84 66 \n20 49 97 9 93 47 87 61 55 32 51 80 70 21 1 42 1 59 92 42 31 31 2 68 75 0 41 \n120 91 9 63 53 92 45 13 41 30 38 97 63 28 73 22 56 29 52 59 53 98 77 95 62 88 24 \n29 50 1 38 99 43 74 36 25 13 64 3 26 67 20 76 19 16 85 5 26 113 10 63 50 1 69 \n58 6 7 84 64 2 19 20 99 29 35 166 40 58 90 26 38 98 52 53 15 46 62 42 57 23 91 \n4 35 23 151 63 2 42 50 55 89 1 2 71 42 14 8 70 52 12 44 27 21 45 94 11 63 100 \n81 53 45 85 55 22 13 75 61 8 58 27 80 91 55 16 6 4 58 2 13 44 85 16 63 61 112 \n85 99 58 9 89 47 94 23 73 41 76 29 57 12 5 29 67 152 22 79 97 49 68 53 57 55 5 \n3 69 45 15 43 55 31 34 57 98 76 14 47 104 83 47 40 55 53 80 36 21 36 75 1 54 25 \n54 69 63 34 8 61 25 38 58 2 76 49 44 85 87 10 24 113 13 73 60 51 54 73 0 56 11 \n90 2 80 41 56 44 23 4 61 5 44 74 26 1 56 64 3 19 39 72 23 55 14 9 94 67 9 \n36 43 71 19 75 76 59 86 30 38 4 84 98 83 3 80 76 49 28 83 23 33 28 87 99 54 58 \n30 66 43 89 63 28 48 35 1 32 52 11 55 7 92 36 56 31 60 16 47 75 10 27 47 18 50 \n88 6 89 51 77 38 55 26 53 53 97 53 42 28 92 63 28 79 75 56 9 43 8 59 74 1 91\n", "27 1\n10 42 1 90 70 49 26 25 21 15 34 61 58 42 11 61 65 88 44 19 32 49 124 67 23 74 88 \n70 35 54 48 7 80 5 58 21 28 49 44 76 42 75 0 72 93 39 70 80 50 52 8 9 40 52 \n38 42 58 73 82 16 68 60 69 54 96 83 33 81 54 3 54 94 36 8 38 49 79 94 79 22 127 \n68 54 67 33 12 58 74 89 35 33 22 108 34 14 68 55 92 36 78 68 89 100 16 48 158 10 42 \n79 83 1 73 90 87 13 92 68 99 7 43 99 25 11 87 42 83 41 3 63 15 77 19 96 8 117 \n66 19 91 123 105 24 96 75 27 58 46 92 12 24 46 18 7 76 65 70 27 55 57 95 49 4 34 \n28 62 69 49 53 32 14 87 88 39 0 25 140 3 52 6 65 19 56 75 43 28 9 23 38 1 53 \n74 59 48 23 38 2 44 74 11 8 34 57 2 80 15 21 31 136 42 19 20 8 98 74 59 56 6 \n73 89 23 51 62 49 42 42 67 62 3 49 43 105 7 99 58 80 84 50 59 90 54 27 76 41 3 \n48 70 57 80 14 77 75 36 61 70 145 84 1 23 9 153 70 9 55 50 82 79 67 18 69 97 90 \n7 84 84 5 11 114 43 62 9 35 54 43 78 78 65 29 39 82 47 59 24 19 52 7 17 65 40 \n66 48 44 87 2 84 78 88 31 57 18 91 77 41 19 41 42 83 47 5 42 11 37 24 84 0 44 \n33 24 29 36 48 10 2 29 78 51 21 27 30 13 53 27 23 6 67 32 43 43 70 69 22 2 10 \n48 27 2 6 103 21 80 47 81 22 62 51 56 1 4 21 0 97 38 12 47 5 64 22 29 84 66 \n20 49 97 9 93 47 87 61 55 32 51 80 70 21 1 42 1 59 92 42 31 31 0 68 75 0 48 \n120 91 9 63 53 92 45 13 41 30 38 77 63 28 73 22 56 29 52 59 53 98 77 95 62 88 24 \n29 50 1 38 86 43 42 36 25 13 64 3 26 67 20 76 19 16 85 5 26 113 10 63 50 1 2 \n58 6 7 84 64 2 19 20 99 29 35 166 40 58 90 26 4 98 52 53 15 46 62 42 57 23 91 \n4 35 23 151 63 0 42 50 55 89 0 7 71 42 14 8 70 52 12 44 27 21 45 94 11 63 100 \n81 53 45 85 55 22 25 75 61 8 58 27 80 91 55 16 6 4 58 2 13 44 85 16 63 61 112 \n85 99 58 9 89 47 94 23 73 41 76 29 57 1 5 29 67 152 22 79 97 49 68 53 57 55 5 \n3 69 45 15 43 55 31 34 57 98 76 26 47 104 83 47 40 55 53 80 36 21 31 75 1 54 25 \n54 69 63 34 8 61 25 38 58 2 76 49 44 85 87 10 24 113 13 73 60 51 54 73 0 56 11 \n90 2 80 41 56 44 23 4 61 5 44 74 26 1 56 76 3 19 39 72 23 55 14 9 121 67 9 \n36 43 71 19 75 76 59 86 30 38 1 84 98 83 3 80 76 49 28 83 23 28 28 87 99 54 58 \n30 66 43 89 63 28 48 35 1 32 52 11 55 7 92 36 56 31 60 16 59 75 10 16 47 18 50 \n88 6 89 51 77 38 55 26 53 53 97 53 42 28 92 63 28 79 75 56 9 43 8 59 74 1 91\n", "3 1\n1 2 3\n4 5 6\n7 8 9\n\nSAMPLE\n", "3 1\n2 7 3\n4 8 3\n7 14 9\n\nSAPMLE\n" ]
[ "yes\n1\n68 80\n", "yes\n1\n12 23\n", "yes\n2\n2 2\n", "yes\n1\n2 2\n", "yes\n1\n12 18\n", "yes\n1\n14 22\n", "yes\n1\n13 19\n", "yes\n1\n4 3\n", "yes\n3\n2 2\n", "yes\n5\n2 2\n" ]
CodeContests
Example Input 4 2 58 100 10 10 50 80 Output 75 2 3
stdin
null
946
1
[ "4 2 58 100\n10 10 50 80\n" ]
[ "75\n2 3\n" ]
[ "6 2 58 100\n10 10 50 80\n", "6 2 15 100\n10 10 50 80\n", "6 3 15 100\n10 10 50 80\n", "6 3 15 100\n10 10 12 80\n", "6 3 15 100\n10 10 20 80\n", "6 4 15 100\n10 10 20 80\n", "9 4 15 100\n10 10 20 80\n", "13 3 24 100\n10 10 23 80\n", "13 3 24 100\n20 10 23 80\n", "13 3 24 100\n20 18 23 80\n" ]
[ "70\n2 3\n", "35\n1 2\n", "35\n1 2 5\n", "56\n1 2 3\n", "60\n1 2 3\n", "65\n1 2 3 5\n", "60\n1 2 3 5\n", "61\n1 2 3\n", "66\n1 2 3\n", "52\n1 3 5\n" ]
CodeContests
Problem: Rani and Nandu decide to play a number game. Both play alternately, Rani playing the first move. In each of their moves, they can subtract a maximum of k and a minimun of 1 from n ( ie.each of them must subtract from n, any natural number less than or equal to k) , and the new value of n will be the result of this subtraction. They continue playing this game until the value of n becomes zero or negative. The person to play the last move loses the game. Both are super-intelligent and hence both play optimally. Given the values of n and k, find out the winner of the game. Note : Large Input/Output Data. Use fast I/O. Input: First line consists of t, the number of test case. The next t lines are such that each line consists of two space separated integers n and k. Output: Print the answer to each test case on a new line, 'Rani' if the winner of the game is Rani and 'Nandu' if the winner of the game is Nandu. Constraints: 1 ≤ t ≤ 1000000 1 ≤ n ≤ 1000000. 1 ≤ k ≤ n. Problem Setter : Shreyans Problem Tester : Sandeep (By IIT Kgp HackerEarth Programming Club) SAMPLE INPUT 2 2 1 3 2 SAMPLE OUTPUT Rani Rani Explanation For n=2 and k=1 1st move Rani : n = 2 - 1 = 1 2nd move Nandu : n = 1 - 1 = 0. Now, n has become zero. So, the game is over. Since Nandu palyed the last move, he loses the game. So, the winner of the game is Rani. For n=3 and k=2 1st move Rani : n = 3 - 2 = 1 2nd move Nandu : n = 1 - 1 = 0 or n = 1 - 2 = -1. Now, n has become zero/negative. So, the game is over. Since Nandu palyed the last move, he loses the game. So, the winner of the game is Rani.
stdin
null
12
1
[ "2\n2 1\n3 2\n\nSAMPLE\n" ]
[ "Rani\nRani\n" ]
[ "72\n909 34\n420 51\n621 76\n65 48\n82 41\n665 53\n43 33\n309 21\n942 51\n156 13\n997 11\n753 26\n529 41\n187 15\n961 71\n619 7\n425 73\n126 75\n551 77\n121 79\n349 82\n16 12\n711 36\n389 81\n72 2\n747 89\n265 30\n896 13\n14 1\n289 71\n270 17\n470 9\n33 18\n141 33\n904 83\n915 96\n803 38\n673 61\n621 53\n225 14\n581 81\n65 22\n311 3\n526 1\n525 41\n175 39\n399 71\n166 88\n941 39\n636 1\n514 51\n10 1\n649 81\n993 79\n985 81\n761 41\n246 69\n89 71\n96 50\n49 33\n245 1\n131 17\n811 46\n209 1\n700 51\n697 12\n545 81\n715 25\n788 97\n553 19\n199 46\n195 11\n", "2\n2 1\n3 3\n\nSAMPLE\n", "72\n909 34\n420 51\n621 76\n65 48\n82 59\n665 53\n43 33\n309 21\n942 51\n156 13\n997 11\n215 26\n869 41\n187 15\n961 71\n619 7\n160 73\n126 14\n551 77\n121 79\n349 82\n16 12\n711 36\n389 81\n72 2\n747 89\n265 30\n896 13\n18 1\n289 71\n270 17\n470 9\n33 18\n141 33\n904 83\n915 120\n803 38\n673 15\n621 53\n225 14\n581 81\n65 22\n311 3\n526 1\n525 41\n175 39\n399 71\n166 88\n941 39\n636 1\n514 51\n10 1\n649 81\n993 29\n985 81\n761 41\n246 69\n89 71\n96 50\n49 33\n245 1\n131 17\n811 46\n213 1\n700 51\n697 12\n545 81\n715 25\n788 97\n553 19\n199 46\n68 11\n", "72\n909 34\n420 51\n621 76\n65 48\n82 59\n665 53\n43 33\n309 21\n450 51\n156 13\n1234 11\n215 26\n869 41\n187 15\n961 71\n619 7\n160 73\n126 14\n551 77\n121 79\n349 82\n16 12\n711 36\n389 51\n72 2\n747 89\n265 30\n896 13\n18 1\n289 71\n270 17\n470 9\n33 18\n141 33\n904 83\n915 120\n803 38\n673 15\n621 53\n225 14\n581 81\n65 22\n311 3\n526 1\n525 41\n175 39\n399 71\n166 88\n941 39\n636 1\n514 51\n10 1\n649 81\n993 29\n985 81\n761 41\n246 69\n89 71\n96 50\n49 33\n245 1\n131 17\n811 46\n213 1\n700 51\n697 12\n545 81\n715 25\n788 97\n553 19\n199 46\n68 11\n", "72\n909 34\n420 51\n621 76\n65 48\n82 59\n665 53\n43 33\n309 21\n450 51\n156 13\n1234 11\n215 26\n869 41\n187 15\n961 34\n619 7\n160 73\n126 14\n551 77\n121 79\n349 82\n16 12\n711 36\n389 51\n72 2\n747 89\n265 30\n896 13\n18 2\n237 71\n270 17\n470 9\n33 18\n141 33\n904 83\n915 120\n803 38\n673 15\n621 53\n225 14\n1096 81\n65 9\n311 3\n526 1\n525 41\n175 39\n399 71\n166 27\n941 39\n636 1\n514 51\n10 1\n649 81\n993 29\n985 81\n761 41\n246 69\n89 71\n96 50\n49 33\n245 1\n131 17\n811 46\n213 1\n700 51\n697 12\n545 81\n715 25\n788 97\n553 19\n199 46\n68 11\n", "72\n909 34\n420 51\n621 76\n65 48\n82 59\n665 53\n43 33\n309 21\n450 51\n156 13\n1234 11\n215 26\n869 41\n187 15\n961 34\n619 2\n160 73\n126 14\n551 77\n121 79\n349 82\n16 12\n711 36\n389 51\n107 2\n747 89\n265 30\n896 13\n18 2\n237 71\n270 17\n470 16\n33 18\n141 61\n904 83\n915 120\n803 38\n673 15\n621 53\n225 14\n1096 81\n65 4\n311 3\n668 1\n525 41\n175 39\n399 71\n166 55\n941 39\n636 1\n514 51\n10 1\n649 81\n993 29\n985 81\n761 41\n246 69\n89 2\n96 50\n49 33\n245 1\n131 17\n811 46\n213 1\n700 51\n697 12\n545 81\n715 25\n788 97\n556 19\n199 46\n68 11\n", "72\n909 34\n420 51\n621 76\n65 48\n49 69\n665 53\n43 55\n309 21\n450 51\n156 13\n1234 11\n215 26\n869 34\n187 27\n961 34\n619 2\n160 130\n126 14\n551 143\n121 79\n349 82\n4 12\n711 36\n389 51\n135 2\n747 89\n265 30\n896 13\n18 2\n237 71\n270 17\n470 7\n33 18\n141 61\n904 154\n915 120\n1056 38\n673 15\n621 53\n225 14\n1096 81\n65 1\n311 3\n668 1\n525 41\n175 39\n399 71\n166 55\n941 39\n636 1\n514 51\n10 1\n649 81\n993 29\n985 81\n761 41\n246 69\n89 2\n96 50\n49 33\n245 1\n167 17\n811 35\n179 1\n700 51\n697 12\n545 81\n715 25\n545 181\n556 19\n199 46\n68 11\n", "72\n909 34\n420 51\n621 76\n65 48\n49 69\n665 53\n43 55\n309 21\n450 51\n156 13\n1234 11\n215 26\n869 34\n187 27\n961 34\n619 2\n160 130\n126 14\n551 143\n121 79\n349 82\n4 12\n711 36\n389 51\n135 2\n747 89\n265 30\n896 13\n18 2\n237 71\n270 17\n470 7\n33 18\n141 61\n904 154\n915 120\n1056 38\n673 15\n621 53\n225 14\n1096 81\n65 1\n311 3\n668 1\n525 41\n175 39\n399 71\n166 55\n941 39\n636 1\n514 51\n10 1\n985 81\n993 29\n985 81\n761 41\n246 69\n89 2\n96 50\n49 33\n245 1\n167 17\n811 35\n179 1\n700 51\n697 12\n545 81\n715 25\n545 181\n556 19\n199 46\n68 11\n", "72\n909 34\n420 51\n621 76\n65 48\n49 69\n665 53\n43 55\n309 21\n450 51\n156 13\n1234 11\n215 26\n869 34\n187 27\n961 34\n619 2\n160 130\n126 14\n551 143\n121 79\n349 82\n4 12\n711 36\n389 51\n247 2\n747 89\n265 30\n896 13\n18 2\n237 71\n270 17\n470 7\n33 18\n141 61\n904 154\n915 120\n1056 38\n673 15\n621 53\n225 14\n1096 81\n65 1\n311 3\n668 1\n525 41\n175 39\n399 71\n166 55\n941 39\n636 1\n514 51\n10 1\n985 81\n993 29\n985 81\n761 41\n246 69\n89 2\n96 50\n49 33\n245 1\n167 17\n811 35\n179 1\n700 51\n697 12\n545 81\n715 25\n545 181\n556 19\n199 46\n68 11\n", "72\n909 34\n420 51\n621 76\n65 48\n82 59\n665 53\n43 33\n309 21\n450 51\n156 13\n1234 11\n215 26\n869 41\n187 15\n961 71\n619 7\n160 73\n126 14\n551 77\n121 79\n349 82\n16 12\n711 36\n389 51\n72 2\n747 89\n265 30\n896 13\n18 1\n289 71\n270 17\n470 9\n33 18\n141 33\n904 83\n915 120\n803 38\n673 15\n621 53\n225 14\n581 81\n65 22\n311 3\n526 1\n525 41\n175 39\n399 71\n166 88\n941 39\n636 1\n514 51\n10 2\n649 81\n993 29\n985 81\n761 41\n246 69\n89 71\n96 50\n49 33\n245 1\n131 17\n811 46\n213 1\n700 51\n697 12\n545 81\n715 25\n788 97\n553 19\n199 46\n68 11\n" ]
[ "Rani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\n", "Rani\nRani\n", "Rani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\n", "Rani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\n", "Rani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\n", "Rani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\n", "Rani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\n", "Rani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\n", "Rani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\n", "Rani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nNandu\nRani\nRani\nNandu\nRani\nRani\nRani\nRani\nRani\nRani\nRani\nRani\n" ]
CodeContests
There are N pieces of source code. The characteristics of the i-th code is represented by M integers A_{i1}, A_{i2}, ..., A_{iM}. Additionally, you are given integers B_1, B_2, ..., B_M and C. The i-th code correctly solves this problem if and only if A_{i1} B_1 + A_{i2} B_2 + ... + A_{iM} B_M + C > 0. Among the N codes, find the number of codes that correctly solve this problem. Constraints * All values in input are integers. * 1 \leq N, M \leq 20 * -100 \leq A_{ij} \leq 100 * -100 \leq B_i \leq 100 * -100 \leq C \leq 100 Input Input is given from Standard Input in the following format: N M C B_1 B_2 ... B_M A_{11} A_{12} ... A_{1M} A_{21} A_{22} ... A_{2M} \vdots A_{N1} A_{N2} ... A_{NM} Output Print the number of codes among the given N codes that correctly solve this problem. Examples Input 2 3 -10 1 2 3 3 2 1 1 2 2 Output 1 Input 5 2 -4 -2 5 100 41 100 40 -3 0 -6 -2 18 -13 Output 2 Input 3 3 0 100 -100 0 0 100 100 100 100 100 -100 100 100 Output 0
stdin
null
4,622
1
[ "3 3 0\n100 -100 0\n0 100 100\n100 100 100\n-100 100 100\n", "5 2 -4\n-2 5\n100 41\n100 40\n-3 0\n-6 -2\n18 -13\n", "2 3 -10\n1 2 3\n3 2 1\n1 2 2\n" ]
[ "0\n", "2\n", "1\n" ]
[ "3 3 0\n100 -100 0\n0 100 101\n100 100 100\n-100 100 100\n", "5 2 -4\n-2 5\n100 41\n100 40\n-4 0\n-6 -2\n18 -13\n", "3 3 0\n101 -100 0\n0 100 101\n100 100 100\n-100 100 100\n", "5 2 -4\n-2 5\n100 41\n001 40\n-3 1\n-6 -2\n18 -13\n", "2 3 -10\n1 2 3\n3 2 1\n1 1 2\n", "5 2 -4\n-2 5\n100 41\n100 40\n-4 -1\n-6 -2\n18 -13\n", "2 3 -10\n1 2 3\n3 2 1\n1 1 1\n", "3 3 0\n101 -100 0\n-1 100 101\n100 100 100\n-100 100 100\n", "2 2 -4\n-2 5\n100 41\n100 40\n-4 -1\n-6 -2\n18 -13\n", "2 3 -11\n1 2 3\n3 2 1\n1 1 1\n" ]
[ "0\n", "2\n", "1\n", "3\n", "0\n", "1\n", "0\n", "1\n", "1\n", "0\n" ]
CodeContests
Fair Chocolate-Cutting You are given a flat piece of chocolate of convex polygon shape. You are to cut it into two pieces of precisely the same amount with a straight knife. Write a program that computes, for a given convex polygon, the maximum and minimum lengths of the line segments that divide the polygon into two equal areas. The figures below correspond to first two sample inputs. Two dashed lines in each of them correspond to the equal-area cuts of minimum and maximum lengths. <image> Figure F.1. Sample Chocolate Pieces and Cut Lines Input The input consists of a single test case of the following format. $n$ $x_1$ $y_1$ ... $x_n$ $y_n$ The first line has an integer $n$, which is the number of vertices of the given polygon. Here, $n$ is between 3 and 5000, inclusive. Each of the following $n$ lines has two integers $x_i$ and $y_i$, which give the coordinates ($x_i, y_i$) of the $i$-th vertex of the polygon, in counterclockwise order. Both $x_i$ and $y_i$ are between 0 and 100 000, inclusive. The polygon is guaranteed to be simple and convex. In other words, no two edges of the polygon intersect each other and interior angles at all of its vertices are less than $180^\circ$. Output Two lines should be output. The first line should have the minimum length of a straight line segment that partitions the polygon into two parts of the equal area. The second line should have the maximum length of such a line segment. The answer will be considered as correct if the values output have an absolute or relative error less than $10^{-6}$. Sample Input 1 4 0 0 10 0 10 10 0 10 Sample Output 1 10 14.142135623730950488 Sample Input 2 3 0 0 6 0 3 10 Sample Output 2 4.2426406871192851464 10.0 Sample Input 3 5 0 0 99999 20000 100000 70000 33344 63344 1 50000 Sample Output 3 54475.580091580027976 120182.57592539864775 Sample Input 4 6 100 350 101 349 6400 3440 6400 3441 1200 7250 1199 7249 Sample Output 4 4559.2050019027964982 6216.7174287968524227 Example Input 4 0 0 10 0 10 10 0 10 Output 10 14.142135623730950488
stdin
null
3,285
1
[ "4\n0 0\n10 0\n10 10\n0 10\n" ]
[ "10\n14.142135623730950488\n" ]
[ "4\n0 0\n10 0\n10 4\n0 10\n", "4\n0 0\n10 0\n10 2\n0 10\n", "4\n0 0\n10 0\n10 2\n0 9\n", "4\n0 0\n10 1\n10 2\n0 9\n", "4\n0 0\n10 1\n10 2\n1 9\n", "4\n0 0\n9 1\n10 2\n1 9\n", "4\n0 0\n9 1\n10 4\n1 9\n", "4\n0 0\n10 0\n14 10\n0 10\n", "4\n0 0\n7 0\n10 4\n0 10\n", "4\n0 0\n10 0\n10 2\n0 1\n" ]
[ "7.3178024859\n12.2065556157\n", "6.7528910636\n11.6619037897\n", "6.1868396755\n11.4127122105\n", "6.1660587942\n10.7703296143\n", "6.3319736848\n10.2437469572\n", "6.3592985397\n9.7717758522\n", "6.7506203352\n9.8478424033\n", "10.0000000000\n16.4155227683\n", "7.5414879701\n11.8726576637\n", "1.5791710028\n10.1118742081\n" ]
CodeContests
Today a plane was hijacked by a maniac. All the passengers of the flight are taken as hostage. Chef is also one of them. He invited one of the passengers to play a game with him. If he loses the game, he will release all the passengers, otherwise he will kill all of them. A high risk affair it is. Chef volunteered for this tough task. He was blindfolded by Hijacker. Hijacker brought a big black bag from his pockets. The contents of the bag is not visible. He tells Chef that the bag contains R red, G green and B blue colored balloons. Hijacker now asked Chef to take out some balloons from the box such that there are at least K balloons of the same color and hand him over. If the taken out balloons does not contain at least K balloons of the same color, then the hijacker will shoot everybody. Chef is very scared and wants to leave this game as soon as possible, so he will draw the minimum number of balloons so as to save the passengers. Can you please help scared Chef to find out the minimum number of balloons he should take out. Input The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows. The first line of each test case contains a three space-separated integers R, G and B. The second line contains only one integer K. Output For each test case, output a single line containing one integer - the minimum number of balloons Chef need to take out from the bag. Constraints 1 ≤ T ≤ 1000 1 ≤ R, G, B ≤ 10^9 1 ≤ K ≤ max{R, G, B} Example Input: 2 3 3 3 1 3 3 3 2 Output: 1 4 Explanation Example case 2. In the worst-case scenario first three balloons will be of the three different colors and only after fourth balloon Chef will have two balloons of the same color. So, Chef might need to fetch 4 balloons
stdin
null
3,819
1
[ "2\n3 3 3\n1\n3 3 3\n2\n" ]
[ "1\n4\n" ]
[ "2\n6 3 3\n1\n3 3 3\n2\n", "2\n0 0 3\n2\n3 3 3\n2\n", "2\n6 0 3\n2\n3 3 3\n2\n", "2\n1 0 3\n1\n3 3 0\n2\n", "2\n0 0 3\n2\n3 3 4\n0\n", "2\n6 0 3\n3\n3 3 3\n2\n", "2\n0 0 3\n2\n3 4 0\n2\n", "2\n6 0 3\n3\n3 3 3\n4\n", "2\n1 1 3\n1\n0 3 0\n2\n", "2\n0 0 5\n2\n3 3 6\n4\n" ]
[ "1\n4\n", "2\n4\n", "3\n4\n", "1\n3\n", "2\n-2\n", "5\n4\n", "2\n3\n", "5\n10\n", "1\n2\n", "2\n10\n" ]
CodeContests
Problem There are $ 2 $ teams, Team UKU and Team Ushi. Initially, Team UKU has $ N $ people and Team Uku has $ M $ people. Team UKU and Team Ushi decided to play a game called "U & U". "U & U" has a common score for $ 2 $ teams, and the goal is to work together to minimize the common score. In "U & U", everyone's physical strength is $ 2 $ at first, and the common score is $ 0 $, and the procedure is as follows. 1. Each person in Team UKU makes exactly $ 1 $ attacks on someone in Team UKU for $ 1 $. The attacked person loses $ 1 $ in health and leaves the team when he or she reaches $ 0 $. At this time, when the number of team members reaches $ 0 $, the game ends. If the game is not over when everyone on Team UKU has just completed $ 1 $ attacks, $ 1 $ will be added to the common score and proceed to $ 2 $. 2. Similarly, team members make $ 1 $ each and just $ 1 $ attacks on someone in Team UKU. The attacked person loses $ 1 $ in health and leaves the team when he or she reaches $ 0 $. At this time, when the number of team UKUs reaches $ 0 $, the game ends. If the game isn't over when everyone on the team has just finished $ 1 $ attacks, $ 1 $ will be added to the common score and back to $ 1 $. Given the number of team UKUs and the number of teams, find the minimum possible common score at the end of the "U & U" game. Constraints The input satisfies the following conditions. * $ 1 \ le N, M \ le 10 ^ {18} $ * $ N $ and $ M $ are integers Input The input is given in the following format. $ N $ $ M $ An integer $ N $ representing the number of team UKUs and an integer $ M $ representing the number of team members are given, separated by blanks. Output Print the lowest score on the $ 1 $ line. Examples Input 20 10 Output 0 Input 10 20 Output 1 Input 64783 68943 Output 4 Input 1000000000000000000 1000000000000000000 Output 2
stdin
null
1,344
1
[ "64783 68943\n", "20 10\n", "1000000000000000000 1000000000000000000\n", "10 20\n" ]
[ "4\n", "0\n", "2\n", "1\n" ]
[ "57319 68943\n", "25 10\n", "1000000000000000000 1000000000010000000\n", "10 36\n", "105904 68943\n", "25 12\n", "1000000001000000000 1000000000010000000\n", "10 48\n", "109335 68943\n", "13 12\n" ]
[ "3\n", "0\n", "4\n", "1\n", "2\n", "0\n", "2\n", "1\n", "2\n", "2\n" ]
CodeContests
Problem statement There is a rational number sequence $ X_0, X_1, X_2, ..., X_N $. Each term is defined as follows. 1. $ X_0 = 0 $ 2. $ X_i = X_ {i-1} $ $ op_i $ $ Y_i $ ($ 1 \ leq i \ leq N $). However, $ op_i $ is $ + $, $ − $, $ × $, $ ÷ $ Either. Find $ X_N $. Constraint * $ 1 \ leq N \ leq 10 ^ 5 $ * $ 1 \ leq o_i \ leq 4 $ * $ -10 ^ 6 \ leq Y_i \ leq 10 ^ 6 $ * If $ o_i = 4 $, then $ Y_i \ neq 0 $ * $ X_N $ is an integer greater than or equal to $ -2 ^ {31} $ and less than $ 2 ^ {31} $. input Input follows the following format. All given numbers are integers. $ N $ $ o_1 $ $ Y_1 $ $ o_2 $ $ Y_2 $ $ ... $ $ o_N $ $ Y_N $ When $ o_i = 1 $, $ op_i $ is +, when $ o_i = 2 $, $ op_i $ is −, when $ o_i = 3 $, $ op_i $ is ×, and when $ o_i = 4 $, $ op_i $ is ÷. output Print the value of $ X_N $ on one line. Example Input 4 1 1 4 2 2 4 3 4 Output -14
stdin
null
2,026
1
[ "4\n1 1\n4 2\n2 4\n3 4\n" ]
[ "-14\n" ]
[ "4\n0 1\n4 2\n2 4\n3 4\n", "4\n0 1\n4 2\n2 1\n3 4\n", "4\n-1 1\n4 3\n1 1\n3 4\n", "4\n-1 1\n4 2\n1 1\n3 8\n", "4\n-1 1\n4 4\n1 0\n3 8\n", "4\n1 2\n4 2\n2 4\n3 4\n", "4\n1 2\n4 2\n2 4\n3 7\n", "4\n0 1\n4 3\n2 1\n2 4\n", "4\n-2 1\n4 2\n1 1\n1 4\n", "4\n2 2\n4 2\n2 4\n3 7\n" ]
[ "-16\n", "-4\n", "4\n", "8\n", "0\n", "-12\n", "-21\n", "-5\n", "5\n", "-35\n" ]
CodeContests
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6. We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds. Given an integer K, list the K smallest Snuke numbers. Constraints * 1 \leq K * The K-th smallest Snuke number is not greater than 10^{15}. Input Input is given from Standard Input in the following format: K Output Print K lines. The i-th line should contain the i-th smallest Snuke number. Example Input 10 Output 1 2 3 4 5 6 7 8 9 19
stdin
null
256
1
[ "10\n" ]
[ "1\n2\n3\n4\n5\n6\n7\n8\n9\n19\n" ]
[ "18\n", "7\n", "5\n", "8\n", "2\n", "6\n", "15\n", "4\n", "1\n", "11\n" ]
[ "1\n2\n3\n4\n5\n6\n7\n8\n9\n19\n29\n39\n49\n59\n69\n79\n89\n99\n", "1\n2\n3\n4\n5\n6\n7\n", "1\n2\n3\n4\n5\n", "1\n2\n3\n4\n5\n6\n7\n8\n", "1\n2\n", "1\n2\n3\n4\n5\n6\n", "1\n2\n3\n4\n5\n6\n7\n8\n9\n19\n29\n39\n49\n59\n69\n", "1\n2\n3\n4\n", "1\n", "1\n2\n3\n4\n5\n6\n7\n8\n9\n19\n29\n" ]
CodeContests
Internet search engines, such as Google, automatically sort and categorize web pages around the world to create a huge database. It also parses the search keywords entered by the user and creates an inquiry statement for database search. In each case, complicated processing is performed to realize efficient search, but for the time being, all the basics are cutting out words from sentences. So, please try to cut out the word from the sentence. This time, we will target English sentences with clear word breaks as follows. * Target text: English text of 1024 characters or less, not including line breaks * Delimiter: All are half-width characters, only spaces, periods, and commas. * Words to cut out: Words with 3 to 6 letters (ignore words with 2 or less letters or 7 or more letters) input An English sentence consisting of delimiters and alphanumeric characters is given on one line (all half-width characters). output Please output the words separated by one space character (half-width) on one line. Examples Input Rain, rain, go to Spain. Output Rain rain Spain Input Win today's preliminary contest and be qualified to visit University of Aizu. Output Win and visit Aizu
stdin
null
3,841
1
[ "Win today's preliminary contest and be qualified to visit University of Aizu.\n", "Rain, rain, go to Spain.\n" ]
[ "Win and visit Aizu\n", "Rain rain Spain\n" ]
[ "Win today's preliminary contest and be qualified to visit University fo Aizu.\n", "Rain, rain, go ot Spain.\n", "Rain, iarn, og ot Spain.\n", "Win todax's premiminary contest and be qualified to vhsit Uniwersity fo Aizu.\n", "niW todax's premiminary contest and be qualified to vhsit Uniwersity fo Aizu.\n", "niW todax's premiminary contest `nd be qualified to vhsit Uniwersity of Aizu.\n", "niW todax's preminimary contest `nd eb eqjgilaue ot vhtit ytisrewinU of Aizu.\n", "Win sodax's preminimary contest `nd be eqjgilaue to vhtit ytisrewinU of Aizu.\n", "iWn sodax's preminimary contest `nd be eqjgilaue ot vhtit ytisrewjnU of Aizu.\n", "iWn sodax's prdninilary contest `nd be eqjgilaue ot vhsit ytisrewjmU fo Aizu.\n" ]
[ "Win and visit Aizu\n", "Rain rain Spain\n", "Rain iarn Spain\n", "Win and vhsit Aizu\n", "niW and vhsit Aizu\n", "niW `nd vhsit Aizu\n", "niW `nd vhtit Aizu\n", "Win `nd vhtit Aizu\n", "iWn `nd vhtit Aizu\n", "iWn `nd vhsit Aizu\n" ]
CodeContests
Read the coordinates of four different points on the plane, $ A (x_A, y_A) $, $ B (x_B, y_B) $, $ C (x_C, y_C) $, $ D (x_D, y_D) $, and straight line $ Create a program that outputs YES if AB $ and $ CD $ are orthogonal, and NO if they are not orthogonal. Here, "straight line" does not mean a line segment. Please refer to the figure below. <image> Input Given multiple datasets. The format of each dataset is as follows. $ x_A $ $ y_A $ $ x_B $ $ y_B $ $ x_C $ $ y_C $ $ x_D $ $ y_D $ $ x_A $, $ y_A $, $ x_B $, $ y_B $, $ x_C $, $ y_C $, $ x_D $, $ y_D $ are each -100 or more and 100 or less, and each value has a maximum of 5 digits after the decimal point. It is given as a real number including the number of. The number of datasets does not exceed 100. Output Print YES or NO on one line for each dataset. Example Input 1.0 1.0 2.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 2.0 2.0 2.0 10.0 6.0 3.4 5.2 6.8 9.5 4.3 2.1 2.5 3.5 2.5 4.5 -3.3 -2.3 6.8 -2.3 Output YES NO NO YES
stdin
null
3,763
1
[ "1.0 1.0 2.0 2.0 0.0 0.0 1.0 -1.0\n0.0 0.0 2.0 0.0 -1.0 2.0 2.0 2.0\n10.0 6.0 3.4 5.2 6.8 9.5 4.3 2.1\n2.5 3.5 2.5 4.5 -3.3 -2.3 6.8 -2.3\n" ]
[ "YES\nNO\nNO\nYES\n" ]
[ "1.0 1.0 2.0 2.0 0.0 0.0 1.0 -1.0\n0.0 0.0 2.0 0.0 -1.0 2.0 2.0 2.0\n10.0 6.0 3.4 5.2 6.8 9.5 4.3 2.1\n2.5 3.5 2.5 5.324353001023156 -3.3 -2.3 6.8 -2.3\n", "1.0 1.0 2.0 2.0 0.0 0.0 1.0 -1.0\n0.0 0.0 2.0 0.0 -1.0 2.0 2.0 2.0\n10.0 6.0 3.4 5.2 6.8 9.5 4.3 2.1\n3.455765838159193 3.5 2.5 5.324353001023156 -3.3 -2.3 6.8 -2.3\n", "1.0 1.092069677518794 2.0 2.0 0.0 0.0 1.0 -1.0\n0.0 0.0 2.0 0.0 -1.0 2.0 2.0 2.0\n10.0 6.0 3.4 5.2 6.8 9.5 4.3 2.1\n3.455765838159193 3.5 3.4549756324749468 5.324353001023156 -3.3 -2.3 6.8 -2.3\n", "1.0 1.0 2.0 2.0 0.0 0.0 1.0 -1.0\n0.0 0.0 2.0 0.0 -1.0 2.0 2.0 2.0\n10.0 6.0 3.4 5.2 6.8 9.5 4.3 2.1\n3.455765838159193 3.5 3.4549756324749468 5.324353001023156 -3.3 -2.3 6.8 -2.3\n", "1.0 1.092069677518794 2.0 2.0 0.0 0.0 1.0 -1.0\n0.0 0.0 2.0 0.0 -1.0 2.0 2.0 2.0\n10.0 6.870138129492446 3.4 5.2 6.8 9.5 4.3 2.1\n3.455765838159193 3.5 3.4549756324749468 5.324353001023156 -3.3 -2.3 6.8 -2.3\n", "1.1938897485878988 1.092069677518794 2.0 2.0 0.0 0.0 1.0 -1.0\n0.0 0.0 2.0 0.0 -1.0 2.0 2.0 2.0\n10.0 6.870138129492446 3.4 5.2 6.8 9.5 4.3 2.1\n3.455765838159193 3.5 3.4549756324749468 5.324353001023156 -3.3 -2.3 6.8 -2.3\n", "1.1938897485878988 1.092069677518794 2.0 2.0 0.0 0.0 1.0 -1.0\n0.0 0.0 2.0 0.0 -1.0 2.0 2.0 2.0\n10.0 6.870138129492446 3.4 5.2 7.120315016839786 9.5 4.3 2.1\n3.455765838159193 3.5 3.4549756324749468 5.324353001023156 -3.3 -2.3 6.8 -2.3\n", "1.1938897485878988 1.092069677518794 2.0 2.0 0.0 0.0 1.0 -1.0\n0.0 0.0 2.0 0.0 -1.0 2.0 2.0 2.0\n10.0 6.870138129492446 3.7751909492984854 5.2 7.120315016839786 9.5 4.3 2.1\n3.455765838159193 3.5 3.4549756324749468 5.324353001023156 -3.3 -2.3 6.8 -2.3\n", "1.1938897485878988 1.092069677518794 2.0 2.0 0.0 0.0 1.0 -1.0\n0.0 0.0 2.2573677918714536 0.0 -1.0 2.0 2.0 2.0\n10.0 6.870138129492446 3.7751909492984854 5.2 7.120315016839786 9.5 4.3 2.1\n3.455765838159193 3.5 3.4549756324749468 5.324353001023156 -3.3 -2.3 6.8 -2.3\n", "1.1938897485878988 1.8174052507112806 2.0 2.0 0.0 0.0 1.0 -1.0\n0.0 0.0 2.2573677918714536 0.0 -1.0 2.0 2.0 2.0\n10.0 6.870138129492446 3.7751909492984854 5.2 7.120315016839786 9.5 4.3 2.1\n3.455765838159193 3.5 3.4549756324749468 5.324353001023156 -3.3 -2.3 6.8 -2.3\n" ]
[ "YES\nNO\nNO\nYES\n", "YES\nNO\nNO\nNO\n", "NO\nNO\nNO\nNO\n", "YES\nNO\nNO\nNO\n", "NO\nNO\nNO\nNO\n", "NO\nNO\nNO\nNO\n", "NO\nNO\nNO\nNO\n", "NO\nNO\nNO\nNO\n", "NO\nNO\nNO\nNO\n", "NO\nNO\nNO\nNO\n" ]
CodeContests
Mr. Infinity has a string S consisting of digits from `1` to `9`. Each time the date changes, this string changes as follows: * Each occurrence of `2` in S is replaced with `22`. Similarly, each `3` becomes `333`, `4` becomes `4444`, `5` becomes `55555`, `6` becomes `666666`, `7` becomes `7777777`, `8` becomes `88888888` and `9` becomes `999999999`. `1` remains as `1`. For example, if S is `1324`, it becomes `1333224444` the next day, and it becomes `133333333322224444444444444444` the day after next. You are interested in what the string looks like after 5 \times 10^{15} days. What is the K-th character from the left in the string after 5 \times 10^{15} days? Constraints * S is a string of length between 1 and 100 (inclusive). * K is an integer between 1 and 10^{18} (inclusive). * The length of the string after 5 \times 10^{15} days is at least K. Input Input is given from Standard Input in the following format: S K Output Print the K-th character from the left in Mr. Infinity's string after 5 \times 10^{15} days. Examples Input 1214 4 Output 2 Input 3 157 Output 3 Input 299792458 9460730472580800 Output 2
stdin
null
3,041
1
[ "299792458\n9460730472580800\n", "3\n157\n", "1214\n4\n" ]
[ "2\n", "3\n", "2\n" ]
[ "299792458\n16007747457388278\n", "3\n162\n", "1214\n1\n", "1214\n8\n", "299792458\n5161700883731392\n", "3\n102\n", "1214\n9\n", "299792458\n6594324861078428\n", "3\n74\n", "1214\n17\n" ]
[ "2\n", "3\n", "1\n", "2\n", "2\n", "3\n", "2\n", "2\n", "3\n", "2\n" ]
CodeContests
Let there be a function f(N) such that f(N) denotes number of zeroes at the end of N! (factorial of N). For example, f(5) = 1 because 5! = 120. You have to compute f(N) for given N. Input format : Input begins with integer t ( 1 ≤ t ≤ 10000) denoting number of test cases. Then there are t lines each containing exactly one positive integer 0< N <10000000 Output format : print f(N) example: input: 2 3 25 output: 0 6 SAMPLE INPUT 5 4 5 10 25 100 SAMPLE OUTPUT 0 1 2 6 24
stdin
null
567
1
[ "5\n4\n5\n10\n25\n100\n\nSAMPLE\n" ]
[ "0\n1\n2\n6\n24\n" ]
[ 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83387\n2017849\n553890\n1103166\n1021979\n1212998\n2095656\n840144\n1701100\n246710\n1280630\n1269660\n764661\n834159\n2377574\n1746461\n1881154\n1243444\n1649848\n628257\n189112\n2195541\n364365\n2236695\n807406\n1098479\n2269228\n806929\n985979\n2278523\n254377\n155650\n7687\n780664\n2427136\n2063470\n1293786\n2132136\n280987\n517010\n2484820\n1211889\n268156\n751075\n381602\n299292\n636885\n1389060\n1440974\n2025067\n2453161\n1803677\n1054341\n1587117\n1239294\n2279017\n2461189\n1625244\n" ]
CodeContests
You will be given a string S of length 3 representing the weather forecast for three days in the past. The i-th character (1 \leq i \leq 3) of S represents the forecast for the i-th day. `S`, `C`, and `R` stand for sunny, cloudy, and rainy, respectively. You will also be given a string T of length 3 representing the actual weather on those three days. The i-th character (1 \leq i \leq 3) of S represents the actual weather on the i-th day. `S`, `C`, and `R` stand for sunny, cloudy, and rainy, respectively. Print the number of days for which the forecast was correct. Constraints * S and T are strings of length 3 each. * S and T consist of `S`, `C`, and `R`. Input Input is given from Standard Input in the following format: S T Output Print the number of days for which the forecast was correct. Examples Input CSS CSR Output 2 Input SSR SSR Output 3 Input RRR SSS Output 0
stdin
null
3,432
1
[ "CSS\nCSR\n", "RRR\nSSS\n", "SSR\nSSR\n" ]
[ "2\n", "0\n", "3\n" ]
[ "CSS\nBSR\n", "SRR\nSSR\n", "SSR\nRTS\n", "STR\nSTR\n", "RSR\nSSS\n", "SSC\nBSR\n", "RSR\nSSR\n", "SSR\nRSS\n", "SSC\nRSB\n", "RTR\nSSR\n" ]
[ "1\n", "2\n", "0\n", "3\n", "1\n", "1\n", "2\n", "1\n", "1\n", "1\n" ]
CodeContests
Alice has just learnt about primeStrings. A string is a primeString if the number of distinct alphabets used in the string is a prime and also the number of occurrences of each alphabet in the string is also a prime. Given a String you need to tell if it is a primeString or not. Input: First line contains T which is the number of test cases. T lines follow each containing a string of characters 'a' to 'z'. Output: For each input, output "YES" if the number is a primeString or "NO" if not. Constraints: 1 ≤ T ≤ 10 1 ≤ Length\; of\; string ≤ 10^5 Scoring: 1 ≤ T ≤ 10, 1 ≤ Length\; of\; string ≤ 10\; (20 pts) 1 ≤ T ≤ 10, 1 ≤ Length\; of\; string ≤ 1000 \;(30 pts) 1 ≤ T ≤ 10, 1 ≤ Length\; of\; string ≤ 10^5 (50 pts) SAMPLE INPUT 3 ababb abcab aabbccdd SAMPLE OUTPUT YES NO NO Explanation Case 1: 2 different alphabets each occurring 2 and 3 times respectively so string "ababb" is a PrimeString. Case 2: In second string char 'a' occurs 2 times, char 'b' occurs 2 times but char 'c' occur only 1 time which is not a prime number that's why string "abcab" is not a PrimeString. Case 3: String contains 4 distinct alphabets and 4 is not a prime Number so the string "aabbccdd" is not a PrimeString.
stdin
null
247
1
[ "3\nababb\nabcab\naabbccdd\n\nSAMPLE\n" ]
[ "YES\nNO\nNO\n" ]
[ "3\nababb\nabcab\naabbccdd\n\nS@MPLE\n", "3\nababc\nabcab\nddccbbaa\n\nS@MPLE\n", "3\nababc\nbabba\ndcdcbbaa\n\nS@MPLE\n", "3\naabbb\nbabba\naabbccdd\n\nEAMOSL\n", "3\nbbaba\nabcbc\nccbcbbaa\n\nSM>OLD\n", "3\ncbaac\nbacab\nacaccadd\n\nELPM@S\n", "3\nababb\nabcab\nddccbbaa\n\nS@MPLE\n", "3\ncbaba\nabcab\nddccbbaa\n\nS@MPLE\n", "3\ncbaba\nabdab\nddccbbaa\n\nS@MPLE\n", "3\naabbb\nabcab\naabbccdd\n\nSAMPLE\n" ]
[ "YES\nNO\nNO\n", "NO\nNO\nNO\n", "NO\nYES\nNO\n", "YES\nYES\nNO\n", "YES\nNO\nYES\n", "NO\nNO\nYES\n", "YES\nNO\nNO\n", "NO\nNO\nNO\n", "NO\nNO\nNO\n", "YES\nNO\nNO\n" ]
CodeContests
Who's interested in football? Rayne Wooney has been one of the top players for his football club for the last few years. But unfortunately, he got injured during a game a few months back and has been out of play ever since. He's got proper treatment and is eager to go out and play for his team again. Before doing that, he has to prove to his fitness to the coach and manager of the team. Rayne has been playing practice matches for the past few days. He's played N practice matches in all. He wants to convince the coach and the manager that he's improved over time and that his injury no longer affects his game. To increase his chances of getting back into the team, he's decided to show them stats of any 2 of his practice games. The coach and manager will look into the goals scored in both the games and see how much he's improved. If the number of goals scored in the 2nd game(the game which took place later) is greater than that in 1st, then he has a chance of getting in. Tell Rayne what is the maximum improvement in terms of goal difference that he can show to maximize his chances of getting into the team. If he hasn't improved over time, he's not fit to play. Scoring equal number of goals in 2 matches will not be considered an improvement. Also, he will be declared unfit if he doesn't have enough matches to show an improvement. Input: The first line of the input contains a single integer T, the number of test cases. Each test case begins with a single integer N, the number of practice matches Rayne has played. The next line contains N integers. The ith integer, gi, on this line represents the number of goals Rayne scored in his ith practice match. The matches are given in chronological order i.e. j > i means match number j took place after match number i. Output: For each test case output a single line containing the maximum goal difference that Rayne can show to his coach and manager. If he's not fit yet, print "UNFIT". Constraints: 1<=T<=10 1<=N<=100000 0<=gi<=1000000 (Well, Rayne's a legend! You can expect him to score so many goals!) Example: Input: 3 6 3 7 1 4 2 4 5 5 4 3 2 1 5 4 3 2 2 3 Output: 4 UNFIT 1 Explanation: In the first test case, Rayne can choose the first and second game. Thus he gets a difference of 7-3=4 goals. Any other pair would give him a lower improvement. In the second test case, Rayne has not been improving in any match. Thus he's declared UNFIT. Note: Large input data. Use faster I/O methods. Prefer scanf,printf over cin/cout.
stdin
null
1,952
1
[ "3\n6\n3 7 1 4 2 4\n5\n5 4 3 2 1\n5\n4 3 2 2 3\n" ]
[ "4\nUNFIT\n1\n" ]
[ "3\n6\n3 7 1 4 2 4\n5\n5 4 3 2 1\n5\n4 3 1 2 3\n", "3\n6\n3 1 1 4 2 4\n5\n5 4 3 2 1\n5\n4 3 1 2 3\n", "3\n6\n3 1 1 4 2 4\n5\n2 4 3 2 1\n5\n4 3 1 2 3\n", "3\n6\n1 1 0 4 2 4\n5\n4 4 3 2 1\n5\n4 0 1 2 3\n", "3\n6\n1 1 0 4 2 4\n5\n4 7 3 2 2\n5\n4 0 1 2 3\n", "3\n6\n1 1 1 4 2 4\n5\n4 7 3 2 2\n5\n4 0 1 2 3\n", "3\n6\n3 7 1 4 2 4\n5\n5 4 3 3 1\n5\n4 3 2 2 3\n", "3\n6\n1 1 -1 4 2 4\n5\n4 4 3 2 1\n5\n4 3 1 2 3\n", "3\n6\n1 1 1 4 2 4\n5\n4 11 3 2 3\n5\n4 0 1 2 3\n", "3\n6\n1 1 0 4 2 4\n5\n4 4 3 4 1\n5\n0 0 1 2 3\n" ]
[ "4\nUNFIT\n2\n", "3\nUNFIT\n2\n", "3\n2\n2\n", "4\nUNFIT\n3\n", "4\n3\n3\n", "3\n3\n3\n", "4\nUNFIT\n1\n", "5\nUNFIT\n2\n", "3\n7\n3\n", "4\n1\n3\n" ]
CodeContests
Snuke, who loves animals, built a zoo. There are N animals in this zoo. They are conveniently numbered 1 through N, and arranged in a circle. The animal numbered i (2≤i≤N-1) is adjacent to the animals numbered i-1 and i+1. Also, the animal numbered 1 is adjacent to the animals numbered 2 and N, and the animal numbered N is adjacent to the animals numbered N-1 and 1. There are two kinds of animals in this zoo: honest sheep that only speak the truth, and lying wolves that only tell lies. Snuke cannot tell the difference between these two species, and asked each animal the following question: "Are your neighbors of the same species?" The animal numbered i answered s_i. Here, if s_i is `o`, the animal said that the two neighboring animals are of the same species, and if s_i is `x`, the animal said that the two neighboring animals are of different species. More formally, a sheep answered `o` if the two neighboring animals are both sheep or both wolves, and answered `x` otherwise. Similarly, a wolf answered `x` if the two neighboring animals are both sheep or both wolves, and answered `o` otherwise. Snuke is wondering whether there is a valid assignment of species to the animals that is consistent with these responses. If there is such an assignment, show one such assignment. Otherwise, print `-1`. Constraints * 3 ≤ N ≤ 10^{5} * s is a string of length N consisting of `o` and `x`. Input The input is given from Standard Input in the following format: N s Output If there does not exist an valid assignment that is consistent with s, print `-1`. Otherwise, print an string t in the following format. The output is considered correct if the assignment described by t is consistent with s. * t is a string of length N consisting of `S` and `W`. * If t_i is `S`, it indicates that the animal numbered i is a sheep. If t_i is `W`, it indicates that the animal numbered i is a wolf. Examples Input 6 ooxoox Output SSSWWS Input 3 oox Output -1 Input 10 oxooxoxoox Output SSWWSSSWWS
stdin
null
3,277
1
[ "10\noxooxoxoox\n", "6\nooxoox\n", "3\noox\n" ]
[ "SSWWSSSWWS\n", "SSSWWS\n", "-1\n" ]
[ "3\nxoo\n", "6\nxooxoo\n", "10\nxooxoxooxo\n", "10\nxxooxoxooo\n", "10\noxooooxxox\n", "10\nxoxxooooxo\n", "10\noooxoxooxx\n", "10\noxooooxxxo\n", "10\noxoooxxoox\n", "10\noxooooxoxx\n" ]
[ "-1\n", "SSSSWW\n", "SWWSSSWWSS\n", "SWSWWWSSSS\n", "SSWWSWWWWS\n", "SWWWWSWWSS\n", "SSSSWWWSWS\n", "WWWSWWSSWS\n", "WSSSSSWSWW\n", "WSSSSSSWWW\n" ]
CodeContests
Chef loves to play games. Now he plays very interesting game called "Segment". At the beginning Chef has segment [0, X] and no points on it. On each step Chef chooses the subsegment of maximal length possible such as it contains no points on it. If there are more than one such subsegment Chef chooses the one with the minimal left coordinate. Once Chef chosed the subsegment he put the point in it's middle and the step is over. Help Chef to define the coordinate of the point he will put on the K-th step.   Input The first line contains integer T - number of test cases. Each of next T lines contains two integers X and K.   Output For each test case in a single line print single double number - the coordinate of the K-th point Chef will put. Answer will be considered as correct if absolute difference between the answer and correct answer is less or equal 10^(-6).   Constraints 1 ≤ T ≤ 10^5 1 ≤ X ≤ 10^9 1 ≤ K ≤ 10^12 Example Input: 4 10 1 10 2 10 3 1000000000 1234567 Output: 5.0000 2.5000 7.5000 177375316.6198730500000000   Explanation You can see the points coordinates for the third sample from first two samples.
stdin
null
396
1
[ "4\n10 1\n10 2\n10 3\n1000000000 1234567\n" ]
[ "5.0000000000000000\n2.5000000000000000\n7.5000000000000000\n177375316.6198730468750000\n" ]
[ "4\n10 2\n10 2\n10 3\n1000000000 1234567\n", "4\n10 2\n10 3\n10 3\n1000000000 1234567\n", "4\n14 2\n10 3\n10 3\n1000000000 1234567\n", "4\n14 2\n10 3\n13 3\n1000000000 1234567\n", "4\n10 2\n10 3\n13 3\n1000000000 1234567\n", "4\n3 2\n10 3\n13 3\n1000000000 1234567\n", "4\n3 2\n10 6\n13 3\n1000000000 1234567\n", "4\n3 2\n10 1\n13 3\n1000000000 1234567\n", "4\n3 2\n10 1\n13 3\n1000000000 2286532\n", "4\n3 2\n10 1\n13 1\n1000000000 2286532\n" ]
[ "2.5000000000000000\n2.5000000000000000\n7.5000000000000000\n177375316.6198730468750000\n", "2.5000000000000000\n7.5000000000000000\n7.5000000000000000\n177375316.6198730468750000\n", "3.5000000000000000\n7.5000000000000000\n7.5000000000000000\n177375316.6198730468750000\n", "3.5000000000000000\n7.5000000000000000\n9.7500000000000000\n177375316.6198730468750000\n", "2.5000000000000000\n7.5000000000000000\n9.7500000000000000\n177375316.6198730468750000\n", "0.7500000000000000\n7.5000000000000000\n9.7500000000000000\n177375316.6198730468750000\n", "0.7500000000000000\n6.2500000000000000\n9.7500000000000000\n177375316.6198730468750000\n", "0.7500000000000000\n5.0000000000000000\n9.7500000000000000\n177375316.6198730468750000\n", "0.7500000000000000\n5.0000000000000000\n9.7500000000000000\n90303659.4390869140625000\n", "0.7500000000000000\n5.0000000000000000\n6.5000000000000000\n90303659.4390869140625000\n" ]
CodeContests
We ask you to select some number of positive integers, and calculate the sum of them. It is allowed to select as many integers as you like, and as large integers as you wish. You have to follow these, however: each selected integer needs to be a multiple of A, and you need to select at least one integer. Your objective is to make the sum congruent to C modulo B. Determine whether this is possible. If the objective is achievable, print `YES`. Otherwise, print `NO`. Constraints * 1 ≤ A ≤ 100 * 1 ≤ B ≤ 100 * 0 ≤ C < B Input Input is given from Standard Input in the following format: A B C Output Print `YES` or `NO`. Examples Input 7 5 1 Output YES Input 2 2 1 Output NO Input 1 100 97 Output YES Input 40 98 58 Output YES Input 77 42 36 Output NO
stdin
null
4,390
1
[ "7 5 1\n", "2 2 1\n", "77 42 36\n", "40 98 58\n", "1 100 97\n" ]
[ "YES\n", "NO\n", "NO\n", "YES\n", "YES\n" ]
[ "7 5 0\n", "77 42 5\n", "2 2 0\n", "80 98 58\n", "1 110 97\n", "11 5 0\n", "2 4 0\n", "77 42 2\n", "103 98 58\n", "0 110 97\n" ]
[ "YES\n", "NO\n", "YES\n", "YES\n", "YES\n", "YES\n", "YES\n", "NO\n", "YES\n", "NO\n" ]
CodeContests
Write a program which solve a simultaneous equation: ax + by = c dx + ey = f The program should print x and y for given a, b, c, d, e and f (-1,000 ≤ a, b, c, d, e, f ≤ 1,000). You can suppose that given equation has a unique solution. Input The input consists of several data sets, 1 line for each data set. In a data set, there will be a, b, c, d, e, f separated by a single space. The input terminates with EOF. Output For each data set, print x and y separated by a single space. Print the solution to three places of decimals. Round off the solution to three decimal places. Examples Input 1 2 3 4 5 6 2 -1 -2 -1 -1 -5 Output -1.000 2.000 1.000 4.000 Input 2 -1 -3 1 -1 -3 2 -1 -3 -9 9 27 Output 0.000 3.000 0.000 3.000
stdin
null
892
1
[ "1 2 3 4 5 6\n2 -1 -2 -1 -1 -5\n", "2 -1 -3 1 -1 -3\n2 -1 -3 -9 9 27\n" ]
[ "-1.000 2.000\n1.000 4.000\n", "0.000 3.000\n0.000 3.000\n" ]
[ "1 2 3 4 5 6\n2 -1 -4 -1 -1 -5\n", "2 -1 -3 1 0 -3\n2 -1 -3 -9 9 27\n", "1 2 3 4 5 5\n2 -1 -4 -1 -1 -5\n", "3 -1 -3 1 0 -3\n2 -1 -3 -9 9 27\n", "1 2 3 4 5 4\n2 -1 -4 -1 -1 -5\n", "3 -1 -3 1 0 -3\n2 -1 -3 -9 18 27\n", "1 1 3 4 5 4\n2 -1 -4 -1 -1 -5\n", "3 -2 -3 1 0 -3\n2 -1 -3 -9 18 27\n", "1 1 3 4 5 4\n2 -1 -4 -1 -1 -4\n", "1 1 3 4 5 4\n2 -1 -4 -1 -1 -6\n" ]
[ "-1.000 2.000\n0.333 4.667\n", "-3.000 -3.000\n0.000 3.000\n", "-1.667 2.333\n0.333 4.667\n", "-3.000 -6.000\n0.000 3.000\n", "-2.333 2.667\n0.333 4.667\n", "-3.000 -6.000\n-1.000 1.000\n", "11.000 -8.000\n0.333 4.667\n", "-3.000 -3.000\n-1.000 1.000\n", "11.000 -8.000\n0.000 4.000\n", "11.000 -8.000\n0.667 5.333\n" ]
CodeContests
Dr. Asimov, a robotics researcher, loves to research, but hates houseworks and his house were really dirty. So, he has developed a cleaning robot. As shown in the following figure, his house has 9 rooms, where each room is identified by an alphabet: <image> The robot he developed operates as follows: * If the battery runs down, the robot stops. * If not so, the robot chooses a direction from four cardinal points with the equal probability, and moves to the room in that direction. Then, the robot clean the room and consumes 1 point of the battery. * However, if there is no room in that direction, the robot does not move and remains the same room. In addition, there is a junk room in the house where the robot can not enter, and the robot also remains when it tries to enter the junk room. The robot also consumes 1 point of the battery when it remains the same place. A battery charger for the robot is in a room. It would be convenient for Dr. Asimov if the robot stops at the battery room when its battery run down. Your task is to write a program which computes the probability of the robot stopping at the battery room. Constraints * Judge data includes at most 100 data sets. * n ≤ 15 * s, t, b are distinct. Input The input consists of several datasets. Each dataset consists of: n s t b n is an integer that indicates the initial battery point. s, t, b are alphabets respectively represent the room where the robot is initially, the battery room, and the junk room. The input ends with a dataset which consists of single 0 for n. Your program should not output for this dataset. Output For each dataset, print the probability as a floating point number in a line. The answer may not have an error greater than 0.000001. Example Input 1 E A C 1 E B C 2 E A B 0 Output 0.00000000 0.25000000 0.06250000
stdin
null
503
1
[ "1\nE A C\n1\nE B C\n2\nE A B\n0\n" ]
[ "0.00000000\n0.25000000\n0.06250000\n" ]
[ "1\nD A C\n1\nE B C\n2\nE A B\n0\n", "1\nD A C\n1\nE B C\n2\nF A B\n0\n", "1\nD A C\n0\nE B C\n2\nF A B\n0\n", "1\nC A C\n0\nE B C\n2\nF A B\n0\n", "1\nE A B\n1\nE B C\n2\nE A B\n0\n", "1\nD A C\n1\nE A D\n2\nF A B\n0\n", "1\nC A D\n1\nD B C\n2\nF A B\n0\n", "1\nD A C\n1\nE A D\n3\nF A B\n0\n", "1\nD A C\n1\nE A D\n4\nF A B\n0\n", "1\nC A C\n1\nD A C\n0\nF B B\n0\n" ]
[ "0.25000000\n0.25000000\n0.06250000\n", "0.25000000\n0.25000000\n0.00000000\n", "0.25000000\n", "0.00000000\n", "0.00000000\n0.25000000\n0.06250000\n", "0.25000000\n0.00000000\n0.00000000\n", "0.00000000\n0.00000000\n0.00000000\n", "0.25000000\n0.00000000\n0.01562500\n", "0.25000000\n0.00000000\n0.02343750\n", "0.00000000\n0.25000000\n" ]
CodeContests
Takahashi is going to set a 3-character password. How many possible passwords are there if each of its characters must be a digit between 1 and N (inclusive)? Constraints * 1 \leq N \leq 9 * N is an integer. Input Input is given from Standard Input in the following format: N Output Print the number of possible passwords. Examples Input 2 Output 8 Input 1 Output 1
stdin
null
4,070
1
[ "2\n", "1\n" ]
[ "8\n", "1\n" ]
[ "4\n", "0\n", "3\n", "-1\n", "5\n", "-2\n", "-4\n", "-3\n", "8\n", "-5\n" ]
[ "64\n", "0\n", "27\n", "-1\n", "125\n", "-8\n", "-64\n", "-27\n", "512\n", "-125\n" ]
CodeContests
Deepak like strings which are in flip flop in nature. For example, he likes XYXYX, while he doesn't like XXYX. Now he want to convert every string into a string which he likes. for this, he only delete the character in the string. Now find the minimum number of delete operation which is required to covert a string that deepak likes. Input Format : The first line contains an integer N i.e the number of test cases. Next N lines contain a string each. Output Format : For each test case, print the minimum delete operation required. Constraints : 1 ≤ N ≤ 10 1 ≤ length of String ≤ 10^5 SAMPLE INPUT 5 XXXX YYYYY XYXYXYXY YXYXYX XXXYYY SAMPLE OUTPUT 3 4 0 0 4 Explanation XXXX => X, 3 deletions YYYYY => Y, 4 deletions XYXYXYXY => XYXYXYXY, 0 deletions YXYXYXYX => YXYXYXYX, 0 deletions XXXYYY => XY, 4 deletions
stdin
null
4,491
1
[ "5\nXXXX\nYYYYY\nXYXYXYXY\nYXYXYX\nXXXYYY\n\nSAMPLE\n" ]
[ "3\n4\n0\n0\n4\n" ]
[ "5\nXXXX\nYYYYY\nXYXYXYXY\nYXYXYX\nXYXYYY\n\nSAMPLE\n", "5\nXXXX\nYYYYY\nXYXYXYXY\nXYXYXY\nXYYYYY\n\nSAMPLE\n", "5\nXXXX\nYYYYY\nYXYXYXYX\nYYYXYX\nXYYYYY\n\nKEPMAS\n", "5\nXXXX\nYYYYY\nYXYXYXYX\nYYYYYX\nYYYYYX\n\nKEPMBS\n", "5\nXXXX\nYYYYY\nYYYXYXYX\nYYYXYX\nYYYYYX\n\nKPEMBS\n", "5\nXXXX\nYYYYY\nYYYXYXYX\nYYYXYX\nYYYYYY\n\nKPEMBS\n", "5\nXXXX\nYYYYY\nYYXXYXYX\nYYYXYX\nXYYXYY\n\nKPEMBS\n", "5\nXXXX\nYYYYY\nYYXYXYXX\nYXYXYX\nXYXYYY\n\nSAMPLE\n", "5\nXXXX\nYYYYY\nYXYXYXYX\nYXYXYY\nXYYYYY\n\nKEPMAS\n", "5\nXXXX\nXYYYY\nYXYXYXYX\nYYYXYX\nXYYYYY\n\nKEPMAS\n" ]
[ "3\n4\n0\n0\n2\n", "3\n4\n0\n0\n4\n", "3\n4\n0\n2\n4\n", "3\n4\n0\n4\n4\n", "3\n4\n2\n2\n4\n", "3\n4\n2\n2\n5\n", "3\n4\n2\n2\n2\n", "3\n4\n2\n0\n2\n", "3\n4\n0\n1\n4\n", "3\n3\n0\n2\n4\n" ]
CodeContests
Taro loves chocolate and when he returns from school he eats his favorite chocolate bar with a heart symbol on it. A recent pleasure is to eat all the heart symbol blocks to the end. Taro , Try to eat as many heartless blocks as possible, with all heartmark blocks connected. <image> However, Taro is still young, and even if he tries to eat as above, useless blocks will remain. Therefore, Taro seeks the maximum number of blocks that can be eaten when all the heart-shaped blocks are left connected. I asked you to create a program. Taro can eat whatever way he wants, as long as all the heart-shaped blocks are connected. If one side of one block does not touch the other block, it will be separated. Input The input consists of multiple datasets, each dataset given in the following format: H W H x W numbers H and W are integers indicating the vertical size and horizontal size of the chocolate bar, respectively. H x W numbers represent block information, '0' representing blocks without a heart mark, and blocks with a heart mark. Consists of '1'. The end of the input is indicated by the dataset where H = W = 0. Do not output for this case. You can assume that 1 ≤ H, W ≤ 12 and the number of heart-shaped blocks is 6 or less. Output For each dataset, output the maximum number of blocks that Taro can eat. Example Input 4 4 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 2 3 1 0 0 0 0 1 0 0 Output 7 0 2
stdin
null
4,512
1
[ "4 4\n1 0 0 0\n0 0 1 0\n0 1 0 0\n1 0 0 1\n1 1\n1\n2 3\n1 0 0\n0 0 1\n0 0\n" ]
[ "7\n0\n2\n" ]
[ "4 4\n1 0 0 0\n0 0 1 0\n0 0 0 0\n1 0 0 1\n1 1\n1\n2 3\n1 0 0\n0 0 1\n0 0\n", "4 4\n1 0 -1 1\n0 0 1 0\n0 0 0 0\n1 0 0 1\n1 1\n1\n2 3\n1 0 0\n0 0 1\n0 0\n", "4 4\n1 -1 0 0\n0 0 1 0\n0 1 0 0\n0 0 0 1\n1 1\n1\n2 3\n1 0 0\n0 0 1\n0 0\n", "4 4\n1 0 -1 0\n0 0 1 0\n0 0 0 0\n1 0 0 1\n1 1\n1\n1 3\n1 0 1\n0 0 1\n0 0\n", "4 4\n1 0 0 0\n0 0 0 0\n0 0 0 0\n1 0 0 1\n1 1\n1\n2 3\n1 0 0\n0 0 1\n0 0\n", "2 4\n1 0 -1 0\n0 0 1 0\n0 0 0 0\n1 0 0 1\n1 1\n1\n2 3\n1 -1 0\n0 1 1\n0 0\n", "4 4\n1 -1 0 0\n0 0 1 0\n0 1 0 0\n0 0 0 1\n1 1\n1\n2 3\n1 1 0\n1 0 1\n0 0\n", "4 4\n0 0 0 0\n0 0 0 0\n0 0 0 0\n1 0 0 1\n1 1\n1\n2 3\n1 0 0\n0 0 1\n0 0\n", "4 4\n1 0 0 0\n0 0 1 0\n0 0 0 0\n1 0 0 0\n1 1\n1\n2 3\n1 0 0\n-1 0 1\n0 0\n", "2 4\n1 0 0 0\n0 1 1 1\n0 0 0 -1\n1 -1 0 0\n2 0\n1\n2 3\n1 -1 0\n0 2 2\n0 0\n" ]
[ "7\n0\n2\n", "6\n0\n2\n", "8\n0\n2\n", "7\n0\n0\n", "9\n0\n2\n", "4\n", "8\n0\n1\n", "12\n0\n2\n", "10\n0\n2\n", "3\n" ]
CodeContests
Given a string consisting of only numbers from 0 to 9, consider the operation of creating a new string from that string according to the following rules. Read the given string one character at a time from the left end. Go, if the same number a continues r, write the number r and the number a in this order without separating them with a space. Read to the right end of the given character string, and what is on the way to the end of the last writing Even if there are times of writing, all of them are counted as one operation. For the second and subsequent operations, the same operation is performed with the character string written out by the previous operation as the given character string. For example, "122244" If the character string "" is given, the character string obtained by one operation is "113224" and "44444444444" (11) because one 1, three 2, two 4s are given in order from the left end. In the case of 4), the obtained character string is “114”. Create a program that outputs a string obtained by performing the above operation n times on a given string of 100 characters or less, where n ≤ 20. The input data consists of two lines, the first line contains the number of operations n, and the second line contains the first character string. Input example --- Five 11 Output example 13112221 input The input consists of multiple datasets. Input ends when n is 0. The number of datasets does not exceed 5. output For each data set, the character string that has been operated the specified number of times is output on one line. Example Input 5 11 5 11 0 Output 13112221 13112221
stdin
null
3,924
1
[ "5\n11\n5\n11\n0\n" ]
[ "13112221\n13112221\n" ]
[ "5\n11\n5\n21\n0\n", "5\n18\n5\n21\n0\n", "5\n18\n5\n1\n0\n", "5\n18\n6\n1\n0\n", "5\n28\n6\n1\n0\n", "5\n28\n11\n1\n0\n", "5\n28\n3\n1\n0\n", "5\n43\n3\n1\n0\n", "5\n43\n3\n0\n0\n", "5\n11\n5\n15\n0\n" ]
[ "13112221\n1113213211\n", "311311222118\n1113213211\n", "311311222118\n312211\n", "311311222118\n13112221\n", "11131221121113122118\n13112221\n", "11131221121113122118\n3113112221232112111312211312113211\n", "11131221121113122118\n1211\n", "11131221141113122113\n1211\n", "11131221141113122113\n3110\n", "13112221\n311311222115\n" ]
CodeContests
We have N lamps numbered 1 to N, and N buttons numbered 1 to N. Initially, Lamp 1, 2, \cdots, A are on, and the other lamps are off. Snuke and Ringo will play the following game. * First, Ringo generates a permutation (p_1,p_2,\cdots,p_N) of (1,2,\cdots,N). The permutation is chosen from all N! possible permutations with equal probability, without being informed to Snuke. * Then, Snuke does the following operation any number of times he likes: * Choose a lamp that is on at the moment. (The operation cannot be done if there is no such lamp.) Let Lamp i be the chosen lamp. Press Button i, which switches the state of Lamp p_i. That is, Lamp p_i will be turned off if it is on, and vice versa. At every moment, Snuke knows which lamps are on. Snuke wins if all the lamps are on, and he will surrender when it turns out that he cannot win. What is the probability of winning when Snuke plays optimally? Let w be the probability of winning. Then, w \times N! will be an integer. Compute w \times N! modulo (10^9+7). Constraints * 2 \leq N \leq 10^7 * 1 \leq A \leq \min(N-1,5000) Input Input is given from Standard Input in the following format: N A Output Print w \times N! modulo (10^9+7), where w is the probability of Snuke's winning. Examples Input 3 1 Output 2 Input 3 2 Output 3 Input 8 4 Output 16776 Input 9999999 4999 Output 90395416
stdin
null
645
1
[ "3 1\n", "3 2\n", "8 4\n", "9999999 4999\n" ]
[ "2\n", "3\n", "16776\n", "90395416\n" ]
[ "14 4\n", "5 1\n", "3 0\n", "9479599 4999\n", "23 4\n", "8 1\n", "23 6\n", "4 1\n", "34 6\n", "7 6\n" ]
[ "349779046\n", "24\n", "0\n", "395563313\n", "586770919\n", "5040\n", "342122491\n", "6\n", "808113344\n", "3475\n" ]
CodeContests
One of the main tasks of an operating system is process scheduling, i.e., managing CPU sharing among a community of ready processes. Several algorithms exist for scheduling tasks to the CPU. Here we are considering Round Robin Scheduling(in a single CPU system) which is the most widely used of all the scheduling algorithms. Round Robin works with a timer interrupt which is set to occur after specific time intervals. Suppose there are n processes which need the CPU. Each process has a specific run time(amount of CPU time it needs to complete the process). Initially CPU is allocated to the first process. It stays on CPU till the timer interrupt occurs or till the process is complete, whichever happens first. Then CPU is allocated to the next task, which stays there till the next timer interrupt. This goes on till all n tasks get the CPU. After all n tasks the cycle is repeated again. This continues till all the processes are over. Your task is to answer queries of two kind as described in input section. Input: First line contains two integers N (1 ≤ N ≤ 100000), the no. of processes and C (1 ≤ C ≤ 10000), cycle length(interval after which each interrupt occurs). The next line contains N integers, with ith line containing the run time of process indexed i(1 ≤ A[i] ≤ 1000000000). Indexing is 1-based. The next line contains integer Q (1 ≤ Q ≤ 100000), denoting the number of queries on this data. Each of the next Q lines contain two space-separated integers M (1 or 2) and D (1 ≤ D ≤ N). M indicates the mode of query. 1) 1 D 2) 2 D where: M=1, for wait time of process D, i.e., how much time it has to wait before getting CPU for the first time. M=2, for rank of process D when finished, e.g., if process D is 5th to get completed, then output 5. Output: There should be one line of input for each query. If M=1, output the wait time of each process, which is the time from the start till the process with index D first gets the CPU. If M=2, output an integer k, where process D was the kth process to get finished(see sample input for a better understanding). Register for IndiaHacksSAMPLE INPUT 5 5 10 7 3 15 9 10 1 1 1 2 1 3 1 4 1 5 2 1 2 2 2 3 2 4 2 5 SAMPLE OUTPUT 0 5 10 13 18 2 3 1 5 4 Register for IndiaHacks
stdin
null
879
1
[]
[]
[ "10 10\n7 87 78 16 94 36 87 93 75 22 \n10\n1 8\n1 10\n2 7\n1 7\n1 9\n2 9\n2 10\n1 1\n1 4\n2 6\n", "10 10\n7 87 78 16 94 36 87 93 75 22 \n10\n1 8\n1 10\n2 7\n1 7\n1 9\n2 9\n2 10\n1 1\n1 8\n2 6\n", "10 10\n7 87 78 16 94 36 87 93 63 22 \n10\n1 8\n1 10\n2 7\n1 7\n1 9\n2 9\n2 10\n1 1\n1 8\n0 6\n", "10 10\n7 87 78 16 94 36 87 93 90 22 \n10\n1 8\n1 10\n2 7\n1 7\n1 9\n2 9\n2 10\n1 1\n1 8\n0 6\n", "10 10\n7 87 78 16 94 36 87 93 50 22 \n10\n1 8\n1 10\n2 7\n1 7\n2 9\n2 9\n2 10\n1 1\n1 4\n2 6\n", "10 10\n7 87 78 16 94 36 87 93 75 22 \n10\n1 8\n1 10\n2 7\n1 7\n1 9\n2 9\n2 10\n1 1\n2 8\n2 6\n", "10 10\n7 87 78 16 94 36 87 93 63 22 \n10\n1 8\n1 10\n2 7\n2 7\n1 9\n2 9\n2 10\n1 1\n1 8\n0 6\n", "10 10\n7 87 78 16 94 36 87 93 90 22 \n10\n1 9\n1 10\n2 7\n1 7\n1 9\n2 9\n2 10\n1 1\n1 8\n0 6\n", "10 14\n7 87 78 16 94 36 87 93 50 22 \n10\n1 8\n1 10\n2 7\n1 7\n2 9\n2 9\n2 10\n1 1\n1 4\n2 6\n", "10 10\n7 87 78 16 94 36 87 93 75 22 \n8\n1 8\n1 10\n0 7\n1 7\n1 9\n2 9\n2 10\n1 1\n1 4\n2 6\n" ]
[ "67\n87\n8\n57\n77\n6\n3\n0\n27\n4\n", "67\n87\n8\n57\n77\n6\n3\n0\n67\n4\n", "67\n87\n8\n57\n77\n5\n3\n0\n67\n4\n", "67\n87\n7\n57\n77\n8\n3\n0\n67\n4\n", "67\n87\n8\n57\n5\n5\n3\n0\n27\n4\n", "67\n87\n8\n57\n77\n6\n3\n0\n10\n4\n", "67\n87\n8\n8\n77\n5\n3\n0\n67\n4\n", "77\n87\n7\n57\n77\n8\n3\n0\n67\n4\n", "91\n119\n9\n77\n5\n5\n3\n0\n35\n4\n", "67\n87\n8\n57\n77\n6\n3\n0\n" ]
CodeContests
Given an array A of N elements, find the number of distinct possible sums that can be obtained by taking any number of elements from the array and adding them. Note that 0 can always be obtained by taking none. First line of the input contains number of test cases T. Each test case has two lines. First line has N, the number of elements in the array followed by N values which are elements of the array. For each test case, print a single line, the distinct possible sums that can be obtained. Constraints 1 ≤ T ≤ 10 1 ≤ N ≤ 100 0 ≤ A[i] ≤ 100 for 0 ≤ i < N SAMPLE INPUT 3 3 1 2 3 5 5 1 3 2 7 4 1 2 4 8 SAMPLE OUTPUT 7 19 16 Explanation For the test case 1: Possible values are 0, 1, 2, 3, 4, 5, 6. For the test case 2: All numbers between 0 and 18 inclusive. For the test case 3: All numbers between 0 and 15 inclusive.
stdin
null
2,635
1
[ "3\n3\n1 2 3\n5\n5 1 3 2 7\n4\n1 2 4 8 \n\nSAMPLE\n" ]
[ "7\n19\n16\n" ]
[ "10\n35\n62 92 40 83 88 39 33 55 33 45 84 90 81 75 99 94 90 33 11 53 21 12 62 73 23 24 20 2 29 30 49 71 80 45 96\n39\n63 17 79 62 5 40 13 83 32 37 70 0 85 73 4 32 41 78 42 43 32 9 81 12 11 96 74 41 7 90 51 1 58 98 54 47 71 41 17\n53\n52 50 16 75 96 45 77 83 81 41 64 81 96 78 96 8 100 8 39 4 44 44 59 33 90 27 65 54 2 72 72 11 52 31 19 72 1 84 42 24 61 96 40 52 20 95 33 73 61 43 80 58 20\n46\n36 73 30 7 99 100 87 68 62 96 78 46 89 35 17 2 42 65 5 96 78 41 33 84 7 13 22 8 68 18 65 52 27 94 22 62 38 37 80 94 16 54 75 4 28 64\n46\n25 43 60 78 0 20 88 53 69 65 66 81 30 65 68 81 69 54 49 70 50 66 58 60 79 5 78 44 12 57 90 5 26 80 80 4 97 16 27 32 84 34 86 75 42 84\n93\n81 93 62 4 68 100 62 75 11 47 97 98 47 45 69 44 73 34 89 63 99 7 20 42 28 89 76 29 46 27 8 40 66 70 43 57 95 94 53 48 37 24 72 78 75 79 17 28 12 29 6 8 69 32 65 66 36 65 100 65 38 16 8 97 91 56 57 45 98 17 17 80 73 35 22 90 83 93 59 87 2 51 52 69 65 57 65 2 65 75 1 98 54\n38\n54 80 63 58 75 86 29 77 30 70 25 74 44 96 27 18 52 70 39 54 43 80 87 87 95 65 34 91 8 25 21 6 4 92 32 17 34 43\n34\n66 2 32 16 36 1 54 72 27 75 28 100 60 12 16 83 32 92 78 83 98 16 37 97 15 1 49 97 59 36 16 82 85 75\n100\n28 89 41 97 66 92 82 89 15 41 82 63 4 51 57 27 70 46 72 62 48 63 18 86 51 23 41 86 64 45 89 94 96 41 11 90 60 77 99 17 96 11 10 58 23 5 48 23 50 91 30 22 7 61 49 66 24 83 56 28 8 2 27 33 14 42 60 1 27 53 81 96 35 92 43 46 22 72 20 23 42 85 89 90 76 25 96 42 93 16 54 44 13 99 55 10 72 91 92 84\n68\n64 23 46 31 81 78 16 29 26 59 55 77 86 15 100 81 94 12 63 67 58 34 37 29 6 89 83 75 93 19 13 56 25 56 81 70 95 38 100 3 80 45 47 62 71 7 19 99 74 48 13 20 71 42 9 45 55 82 41 9 2 34 46 64 27 86 82 96\n", "3\n3\n1 2 3\n5\n5 1 3 4 7\n4\n1 2 4 8 \n\nSAMPLE\n", "3\n3\n1 2 3\n5\n5 1 3 4 2\n4\n1 2 4 8 \n\nSAMPLE\n", "3\n3\n1 2 3\n5\n5 1 3 8 2\n4\n1 2 4 8 \n\nSAMPLE\n", "3\n3\n1 2 3\n5\n5 1 3 0 2\n4\n1 2 4 8 \n\nSAMPLE\n", "3\n3\n1 2 3\n5\n5 1 2 0 2\n4\n1 2 4 8 \n\nSAMPLE\n", "3\n3\n1 2 3\n5\n5 1 2 0 2\n4\n1 1 4 8 \n\nSAMPLE\n", "3\n3\n1 2 3\n5\n5 0 2 0 2\n4\n1 1 4 8 \n\nSAMPLE\n", "3\n3\n1 2 3\n5\n5 0 0 0 2\n4\n1 1 4 8 \n\nSAMPLE\n", "3\n3\n2 2 3\n5\n5 0 0 0 2\n4\n1 1 4 8 \n\nSAMPLE\n" ]
[ "1886\n1787\n2821\n2314\n2482\n5081\n1962\n1703\n5280\n3536\n", "7\n19\n16\n", "7\n16\n16\n", "7\n20\n16\n", "7\n12\n16\n", "7\n11\n16\n", "7\n11\n12\n", "7\n6\n12\n", "7\n4\n12\n", "6\n4\n12\n" ]
CodeContests
Problem Statement Let's consider operations on monochrome images that consist of hexagonal pixels, each of which is colored in either black or white. Because of the shape of pixels, each of them has exactly six neighbors (e.g. pixels that share an edge with it.) "Filtering" is an operation to determine the color of a pixel from the colors of itself and its six neighbors. Examples of filterings are shown below. Example 1: Color a pixel in white when all of its neighboring pixels are white. Otherwise the color will not change. <image> Performing this operation on all the pixels simultaneously results in "noise canceling," which removes isolated black pixels. Example 2: Color a pixel in white when its all neighboring pixels are black. Otherwise the color will not change. <image> Performing this operation on all the pixels simultaneously results in "edge detection," which leaves only the edges of filled areas. Example 3: Color a pixel with the color of the pixel just below it, ignoring any other neighbors. <image> Performing this operation on all the pixels simultaneously results in "shifting up" the whole image by one pixel. Applying some filter, such as "noise canceling" and "edge detection," twice to any image yields the exactly same result as if they were applied only once. We call such filters idempotent. The "shifting up" filter is not idempotent since every repeated application shifts the image up by one pixel. Your task is to determine whether the given filter is idempotent or not. Input The input consists of multiple datasets. The number of dataset is less than $100$. Each dataset is a string representing a filter and has the following format (without spaces between digits). > $c_0c_1\cdots{}c_{127}$ $c_i$ is either '0' (represents black) or '1' (represents white), which indicates the output of the filter for a pixel when the binary representation of the pixel and its neighboring six pixels is $i$. The mapping from the pixels to the bits is as following: <image> and the binary representation $i$ is defined as $i = \sum_{j=0}^6{\mathit{bit}_j \times 2^j}$, where $\mathit{bit}_j$ is $0$ or $1$ if the corresponding pixel is in black or white, respectively. Note that the filter is applied on the center pixel, denoted as bit 3. The input ends with a line that contains only a single "#". Output For each dataset, print "yes" in a line if the given filter is idempotent, or "no" otherwise (quotes are for clarity). Sample Input 00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111 10000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000011111111 01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101 Output for the Sample Input yes yes no Example Input 00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111 10000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000011111111 01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101 # Output yes yes no
stdin
null
272
1
[ "00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111\n10000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000011111111\n01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101\n#\n" ]
[ "yes\nyes\nno\n" ]
[ "00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111\n10000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000011111111\n01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010111010101010101010101010101\n#\n", "00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111\n10000000111111110000000011111111010000001111111100000000111111110000000011111111000000001111111100000000111111110000000011111111\n01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010111010101010101010101010101\n#\n", "00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111\n10000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000011111111\n01010101010101010101010101010101010101010101010101010101010100010101010101010101010101010101010101010111010101010101010101010101\n#\n", "00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111\n10000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000011111111\n01010101010101010101010101010101010101010101010101010101010100010101010101010101010101010101010101010111010101010101010101011101\n#\n", "00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111\n10000000111111110000000011111111010000001011111100000000111111110000000011111111000000001111111100000000111111110000000011111111\n01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010111010101010101010101010101\n#\n", "00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111\n10000000111111110000000011111111010000001011111100000000111111110000000011111111000000001111111100000000111111110000000011111111\n01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010011010101010101010101010101\n#\n", "00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111\n10000000111111110000000011111111010000001011111100000000111111110000000011111111000000001111111100000000111111110010000011111111\n01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010011010101010101010101010101\n#\n", "00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111\n10000000111111110000000011111111010000001011111100000000111111110000000011111111000000001111111100000000111111110010000011111111\n01010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010011010101010101010101010101\n#\n", "00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111\n10000000111111110000000011111111010000001011111100000000111111110000000111111111000000001111111100000000111111110010000011111111\n01010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010011010101010101010101010101\n#\n", "00000000111111110000000011111111000000001111111100000000111111110000000011111111000000001111111100000000111111110000000111111111\n10000000111111110000000011111111010000001011111100000000111111110000000011111111000000001111111100000000111111110010000011111111\n01010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010011010101010101010100010101\n#\n" ]
[ "yes\nyes\nno\n", "yes\nno\nno\n", "yes\nyes\nno\n", "yes\nyes\nno\n", "yes\nno\nno\n", "yes\nno\nno\n", "yes\nno\nno\n", "yes\nno\nno\n", "yes\nno\nno\n", "yes\nno\nno\n" ]
CodeContests
Rajat is a guy who always wants to live in a fantasy world. In his world, a deck consists of X cards, where X is a multiple of 4. There are four types of cards namely spade , heart , club and diamond with each type having values in range of [1,X/4] inclusive. His cousin wants to test him. So,to test Rajat , his cousin gives him a value of a card D and its card type K. He asks him to find the probability that the above card is drawn at the N^th draw if cards are drawn one by one from the deck without replacement. Input: First line contains T the number of testcases. Next T lines consists of X , N , D , K. Output: Output the probability upto 10 digits after decimal place for each testcase. Constraints: 1 ≤ T ≤100 4 ≤ X ≤ 10^9 1 ≤ N ≤ X K is a string denoting card's type = {heart , spade , diamond , club} 1 ≤ D ≤ X/4 SAMPLE INPUT 2 8 8 2 heart 52 1 10 spade SAMPLE OUTPUT 0.1250000000 0.0192307692
stdin
null
486
1
[ "2\n8 8 2 heart\n52 1 10 spade \n\nSAMPLE\n" ]
[ "0.1250000000\n0.0192307692\n" ]
[ "97\n100026500 23754052 19170 diamond\n100024464 99996319 5706 heart\n100005436 99990832 32392 diamond\n100000292 99982871 12383 spade\n100019912 99993613 25668 club\n100004664 99996953 15142 heart\n100006868 99979224 25548 diamond\n100012316 99990126 3036 diamond\n100000288 99991248 30107 diamond\n100019264 99991818 22649 heart\n100003548 99990925 19630 spade\n100018756 100013790 11841 spade\n100026308 99993869 16945 diamond\n100022704 100008727 9931 diamond\n100026924 100020654 19073 heart\n100016512 100003222 23987 heart\n100018636 99993869 22356 club\n100012052 100010902 27351 heart\n100021724 100018294 13967 club\n100018588 99993642 6423 diamond\n100029168 99996577 901 diamond\n100027624 100006076 20538 club\n100030836 100019816 9375 spade\n100027348 100007680 23200 spade\n100006900 99988773 3789 club\n100003728 99979080 14894 club\n100007616 99990165 18936 spade\n100031556 100001253 22799 spade\n100011008 99978399 5845 heart\n100007448 99993990 25201 diamond\n100020580 100005782 19797 heart\n100020472 100001934 23623 spade\n100022888 100011377 19157 diamond\n100024272 100003944 20056 diamond\n100023844 100001963 1417 diamond\n100028476 100004087 27893 club\n100010712 100008202 2601 club\n100014688 100004899 13402 club\n100027088 99998471 31427 heart\n100009832 100005663 30933 diamond\n100019976 100017608 31330 spade\n100009512 99991452 30146 diamond\n100025996 100013467 16688 heart\n100020416 100004311 28287 spade\n100031316 100025530 20672 club\n100000912 99999080 10809 heart\n100027756 100008198 28322 diamond\n100004144 99983922 23197 heart\n100012044 99985752 21660 club\n100020024 99990514 26155 heart\n100002168 99983381 14019 heart\n100025824 99999950 29335 spade\n100002668 99988683 17193 diamond\n100008480 100000853 29214 diamond\n100001924 99971952 11024 heart\n100027432 99999839 17506 heart\n100008492 99991270 143 diamond\n100013064 99993877 7901 spade\n100025760 100021093 18897 heart\n100000140 99997445 13695 spade\n100026576 100003918 21695 diamond\n100025484 99997020 1019 club\n100023152 100005065 2801 spade\n100009576 99997533 30228 diamond\n100007164 99999282 5110 diamond\n100031928 100003408 25424 diamond\n100024596 100011335 3738 club\n100001264 99995062 8261 spade\n100021520 100006596 29791 spade\n100004940 99986278 20852 heart\n100030900 100011942 17714 diamond\n100001200 99994761 26059 club\n100012760 100010436 19358 heart\n100005108 99990221 21114 heart\n100014460 100001467 22429 spade\n100006540 99977836 31112 club\n100032356 100003006 6073 club\n100020556 100018930 23217 heart\n100012896 99983279 13023 spade\n100018696 99994655 11586 club\n100008932 99979077 22297 heart\n100003584 99996930 29735 spade\n100022532 100019925 2964 club\n100022848 100009910 4676 club\n100005556 99995380 1994 heart\n100010548 100010248 15882 heart\n100020424 100018672 32679 club\n100028296 100018256 12674 heart\n100020072 100019462 12819 heart\n100014932 99984237 28113 heart\n100020040 99991355 26489 diamond\n100026740 100015482 22045 club\n100011192 99985928 7606 heart\n100020608 100014611 29293 heart\n100029556 99997929 25562 club\n100031240 100002066 27814 heart\n100023992 100018391 25825 spade\n", "98\n100026500 100010776 19170 diamond\n100024464 99996319 5706 heart\n100005436 99990832 32392 diamond\n100000292 99982871 12383 spade\n100019912 99993613 25668 club\n100004664 99996953 15142 heart\n100006868 99979224 25548 diamond\n100012316 99990126 3036 diamond\n100000288 99991248 30107 diamond\n100019264 99991818 22649 heart\n100003548 99990925 19630 spade\n100018756 100013790 11841 spade\n100026308 99993869 16945 diamond\n100022704 100008727 9931 diamond\n100026924 100020654 19073 heart\n100016512 100003222 23987 heart\n100018636 99993869 22356 club\n100012052 100010902 27351 heart\n100021724 100018294 13967 club\n100018588 99993642 12676 diamond\n100029168 99996577 901 diamond\n100027624 100006076 20538 club\n100030836 100019816 9375 spade\n100027348 100007680 23200 spade\n100006900 99988773 3789 club\n100003728 99979080 14894 club\n100007616 99990165 18936 spade\n100031556 100001253 22799 spade\n100011008 99978399 5845 heart\n100007448 99993990 25201 diamond\n100020580 100005782 19797 heart\n100020472 100001934 23623 spade\n100022888 100011377 19157 diamond\n100024272 100003944 20056 diamond\n100023844 100001963 1417 diamond\n100028476 100004087 27893 club\n100010712 100008202 2601 club\n100014688 100004899 13402 club\n100027088 99998471 31427 heart\n100009832 100005663 30933 diamond\n100019976 100017608 31330 spade\n100009512 99991452 30146 diamond\n100025996 100013467 16688 heart\n100020416 100004311 28287 spade\n100031316 100025530 20672 club\n100000912 99999080 10809 heart\n100027756 100008198 28322 diamond\n100004144 99983922 23197 heart\n100012044 99985752 21660 club\n100020024 99990514 26155 heart\n100002168 99983381 14019 heart\n100025824 99999950 29335 spade\n100002668 99988683 17193 diamond\n100008480 100000853 29214 diamond\n100001924 99971952 11024 heart\n100027432 99999839 17506 heart\n100008492 99991270 143 diamond\n100013064 99993877 7901 spade\n100025760 100021093 18897 heart\n100000140 99997445 13695 spade\n100026576 100003918 21695 diamond\n100025484 99997020 1019 club\n100023152 100005065 2801 spade\n100009576 99997533 30228 diamond\n100007164 99999282 5110 diamond\n100031928 100003408 25424 diamond\n100024596 100011335 3738 club\n100001264 99995062 8261 spade\n100021520 100006596 29791 spade\n100004940 99986278 20852 heart\n100030900 100011942 17714 diamond\n100001200 99994761 26059 club\n100012760 100010436 19358 heart\n100005108 99990221 21114 heart\n100014460 100001467 22429 spade\n100006540 99977836 31112 club\n100032356 100003006 6073 club\n100020556 100018930 23217 heart\n100012896 99983279 13023 spade\n100018696 99994655 11586 club\n100008932 99979077 22297 heart\n100003584 99996930 29735 spade\n100022532 100019925 2964 club\n100022848 100009910 4676 club\n100005556 99995380 1994 heart\n100010548 100010248 15882 heart\n100020424 100018672 32679 club\n100028296 100018256 12674 heart\n100020072 100019462 12819 heart\n100014932 99984237 28113 heart\n100020040 99991355 26489 diamond\n100026740 100015482 22045 club\n100011192 99985928 7606 heart\n100020608 100014611 29293 heart\n100029556 99997929 25562 club\n100031240 100002066 27814 heart\n100023992 100018391 25825 spade\n100026428 100022344 28028 club\n", "97\n100026500 100010776 19170 diamond\n100024464 99996319 5706 heart\n100005436 99990832 32392 diamond\n100000292 99982871 12383 spade\n100019912 99993613 25668 club\n100004664 99996953 15142 heart\n100006868 99979224 25548 diamond\n100012316 99990126 3036 diamond\n100000288 99991248 30107 diamond\n100019264 99991818 22649 heart\n100003548 99990925 19630 spade\n100018756 100013790 11841 spade\n100026308 99993869 16945 diamond\n100022704 100008727 9931 diamond\n100026924 100020654 19073 heart\n100016512 100003222 23987 heart\n100018636 99993869 22356 club\n100012052 100010902 27351 heart\n100021724 100018294 13967 club\n100018588 99993642 6423 diamond\n100029168 99996577 901 diamond\n100027624 100006076 20538 club\n100030836 100019816 9375 spade\n100027348 100007680 23200 spade\n100006900 99988773 3789 club\n100003728 99979080 14894 club\n100007616 99990165 18936 spade\n100031556 100001253 22799 spade\n100011008 99978399 5845 heart\n196398633 99993990 25201 diamond\n100020580 100005782 19797 heart\n100020472 100001934 23623 spade\n100022888 100011377 19157 diamond\n100024272 100003944 20056 diamond\n100023844 100001963 1417 diamond\n100028476 100004087 27893 club\n100010712 100008202 2601 club\n100014688 100004899 13402 club\n100027088 99998471 31427 heart\n100009832 100005663 30933 diamond\n100019976 100017608 31330 spade\n100009512 99991452 30146 diamond\n100025996 100013467 16688 heart\n100020416 100004311 28287 spade\n100031316 100025530 20672 club\n100000912 99999080 10809 heart\n100027756 100008198 28322 diamond\n100004144 99983922 23197 heart\n100012044 99985752 21660 club\n100020024 99990514 26155 heart\n100002168 99983381 14019 heart\n100025824 99999950 29335 spade\n100002668 99988683 17193 diamond\n100008480 100000853 29214 diamond\n100001924 99971952 11024 heart\n100027432 99999839 17506 heart\n100008492 99991270 143 diamond\n100013064 99993877 7901 spade\n100025760 100021093 18897 heart\n100000140 99997445 13695 spade\n100026576 100003918 21695 diamond\n100025484 99997020 1019 club\n100023152 100005065 2801 spade\n100009576 99997533 30228 diamond\n100007164 99999282 5110 diamond\n100031928 100003408 25424 diamond\n100024596 100011335 3738 club\n100001264 99995062 8261 spade\n100021520 100006596 29791 spade\n100004940 99986278 20852 heart\n100030900 100011942 17714 diamond\n100001200 99994761 26059 club\n100012760 100010436 19358 heart\n100005108 99990221 21114 heart\n100014460 100001467 22429 spade\n100006540 99977836 31112 club\n100032356 100003006 6073 club\n100020556 100018930 23217 heart\n100012896 99983279 13023 spade\n100018696 99994655 11586 club\n100008932 99979077 22297 heart\n100003584 99996930 29735 spade\n100022532 100019925 2964 club\n100022848 100009910 4676 club\n100005556 99995380 1994 heart\n100010548 100010248 15882 heart\n100020424 100018672 32679 club\n100028296 100018256 12674 heart\n100020072 100019462 12819 heart\n100014932 99984237 28113 heart\n100020040 99991355 26489 diamond\n100026740 100015482 22045 club\n100011192 99985928 7606 heart\n100020608 100014611 29293 heart\n100029556 99997929 25562 club\n100031240 100002066 27814 heart\n100023992 100018391 25825 spade\n", "51\n68 49 11 heart\n28 16 1 club\n28 24 5 spade\n96 31 24 club\n68 36 1 diamond\n4 3 1 heart\n12 5 3 club\n60 22 9 heart\n36 7 6 spade\n24 11 1 spade\n32 17 5 club\n24 11 6 diamond\n16 11 4 spade\n56 24 2 diamond\n32 23 5 diamond\n8 8 2 heart\n88 88 12 heart\n92 92 18 diamond\n60 18 17 spade\n84 10 2 diamond\n92 83 17 spade\n100 85 19 heart\n100 39 19 spade\n28 5 6 heart\n84 70 21 diamond\n36 9 1 heart\n20 19 2 club\n96 22 14 club\n24 11 4 club\n80 58 11 diamond\n92 73 13 spade\n12 7 3 spade\n56 23 1 diamond\n76 2 10 diamond\n52 32 12 heart\n76 17 16 diamond\n4 2 1 spade\n56 19 2 heart\n56 30 5 heart\n40 40 4 spade\n88 22 12 heart\n96 65 10 diamond\n56 27 3 heart\n72 24 9 heart\n56 6 8 spade\n36 14 3 diamond\n60 40 13 heart\n88 7 6 club\n60 51 14 club\n64 41 13 heart\n28 12 1 club\n", "2\n8 8 2 heart\n52 1 10 spade \n\nASMPLE\n", "2\n8 8 2 heart\n82 1 10 spade \n\nASMPLE\n", "98\n100026500 100010776 19170 diamond\n100024464 99996319 5706 heart\n100005436 99990832 32392 diamond\n100000292 99982871 12383 spade\n100019912 99993613 25668 club\n100004664 99996953 15142 heart\n100006868 99979224 25548 diamond\n100012316 99990126 3036 diamond\n100000288 99991248 30107 diamond\n100019264 99991818 22649 heart\n100003548 99990925 19630 spade\n100018756 100013790 11841 spade\n100026308 99993869 16945 diamond\n100022704 100008727 9931 diamond\n100026924 100020654 19073 heart\n100016512 100003222 23987 heart\n100018636 99993869 22356 club\n100012052 100010902 27351 heart\n100021724 100018294 13967 club\n100018588 99993642 12676 diamond\n100029168 99996577 901 diamond\n100027624 100006076 20538 club\n100030836 100019816 9375 spade\n100027348 100007680 23200 spade\n100006900 99988773 3789 club\n100003728 99979080 14894 club\n100007616 99990165 18936 spade\n100031556 100001253 22799 spade\n100011008 99978399 5845 heart\n100007448 99993990 25201 diamond\n100020580 100005782 19797 heart\n100020472 100001934 23623 spade\n100022888 100011377 19157 diamond\n100024272 100003944 20056 diamond\n100023844 100001963 1417 diamond\n100028476 100004087 27893 club\n100010712 100008202 2601 club\n100014688 100004899 13402 club\n100027088 99998471 31427 heart\n100009832 100005663 30933 diamond\n100019976 100017608 31330 spade\n100009512 99991452 30146 diamond\n100025996 100013467 16688 heart\n100020416 100004311 28287 spade\n100031316 100025530 20672 club\n100000912 99999080 10809 heart\n100027756 100008198 28322 diamond\n100004144 99983922 23197 heart\n100012044 99985752 21660 club\n100020024 99990514 26155 heart\n100002168 99983381 14019 heart\n100025824 99999950 29335 spade\n100002668 99988683 17193 diamond\n100008480 100000853 29214 diamond\n100001924 99971952 11024 heart\n100027432 99999839 17506 heart\n100008492 99991270 143 diamond\n100013064 99993877 7901 spade\n100025760 100021093 18897 heart\n100000140 99997445 13695 spade\n100026576 100003918 21695 diamond\n100025484 99997020 1019 club\n100023152 100005065 2801 spade\n100009576 99997533 30228 diamond\n100007164 99999282 5110 diamond\n100031928 100003408 25424 diamond\n100024596 100011335 3738 club\n100001264 99995062 8261 spade\n100021520 100006596 29791 spade\n100004940 99986278 20852 heart\n100030900 118192582 17714 diamond\n100001200 99994761 26059 club\n100012760 100010436 19358 heart\n100005108 99990221 21114 heart\n100014460 100001467 22429 spade\n100006540 99977836 31112 club\n100032356 100003006 6073 club\n100020556 100018930 23217 heart\n100012896 99983279 13023 spade\n45988990 99994655 11586 club\n100008932 99979077 22297 heart\n100003584 99996930 29735 spade\n100022532 100019925 2964 club\n100022848 100009910 4676 club\n100005556 99995380 1994 heart\n100010548 100010248 15882 heart\n100020424 100018672 32679 club\n100028296 100018256 12674 heart\n100020072 100019462 12819 heart\n100014932 99984237 28113 heart\n100020040 99991355 26489 diamond\n100026740 100015482 22045 club\n100011192 99985928 7606 heart\n100020608 100014611 29293 heart\n100029556 99997929 25562 club\n100031240 100002066 27814 heart\n100023992 100018391 25825 spade\n100026428 100022344 28028 club\n", "51\n68 49 11 heart\n28 16 1 club\n28 24 5 spade\n96 31 24 club\n68 36 1 diamond\n4 3 1 heart\n12 5 3 club\n60 34 9 heart\n36 7 6 spade\n24 11 1 spade\n32 17 5 club\n24 11 6 diamond\n16 11 4 spade\n56 24 2 diamond\n32 23 5 diamond\n8 8 2 heart\n88 88 12 heart\n92 92 18 diamond\n60 18 17 spade\n84 10 2 diamond\n92 83 17 spade\n100 85 19 heart\n100 39 19 spade\n28 5 6 heart\n84 70 21 diamond\n36 9 1 heart\n20 19 3 club\n96 22 14 club\n24 11 4 club\n80 58 11 diamond\n92 73 13 spade\n12 7 3 spade\n56 23 1 diamond\n76 2 10 diamond\n52 32 12 heart\n76 17 16 diamond\n4 2 1 spade\n56 19 2 heart\n56 30 5 heart\n40 40 4 spade\n88 22 12 heart\n96 65 10 diamond\n56 27 3 heart\n72 24 9 heart\n18 6 8 spade\n36 14 3 diamond\n60 40 13 heart\n88 7 6 club\n60 51 14 club\n64 51 13 heart\n28 12 1 club\n", "97\n100026500 100010776 19170 diamond\n100024464 99996319 5706 heart\n100005436 99990832 32392 diamond\n100000292 99982871 12383 spade\n100019912 99993613 25668 club\n100004664 99996953 15142 heart\n100006868 99979224 25548 diamond\n100012316 99990126 3036 diamond\n100000288 99991248 30107 diamond\n100019264 99991818 22649 heart\n100003548 99990925 19630 spade\n100018756 100013790 11841 spade\n100026308 99993869 16945 diamond\n100022704 100008727 9931 diamond\n100026924 100020654 19073 heart\n100016512 100003222 23987 heart\n100018636 99993869 22356 club\n100012052 100010902 27351 heart\n100021724 100018294 13967 club\n100018588 99993642 6423 diamond\n100029168 99996577 901 diamond\n100027624 100006076 20538 club\n100030836 100019816 9375 spade\n100027348 100007680 23200 spade\n100006900 99988773 3789 club\n100003728 99979080 14894 club\n100007616 99990165 18936 spade\n100031556 100001253 42031 spade\n100011008 99978399 5845 heart\n196398633 99993990 25201 diamond\n100020580 100005782 19797 heart\n100020472 100001934 6092 spade\n100022888 100011377 19157 diamond\n100024272 100003944 20056 diamond\n100023844 100001963 1417 diamond\n100028476 100004087 27893 club\n100010712 100008202 2601 club\n100014688 100004899 13402 club\n100027088 99998471 31427 heart\n100009832 100005663 30933 diamond\n100019976 100017608 31330 spade\n100009512 99991452 30146 diamond\n100025996 100013467 16688 heart\n100020416 100004311 28287 spade\n100031316 100025530 20672 club\n100000912 99999080 10809 heart\n100027756 100008198 28322 diamond\n100004144 99983922 23197 heart\n100012044 99985752 21660 club\n100020024 99990514 26155 heart\n100002168 99983381 14019 heart\n78785584 99999950 29335 spade\n100002668 99988683 17193 diamond\n100008480 100000853 29214 diamond\n100001924 99971952 11024 heart\n100027432 99999839 17506 heart\n100008492 99991270 143 diamond\n100013064 99993877 7901 spade\n100025760 100021093 18897 heart\n100000140 99997445 13695 spade\n100026576 100003918 21695 diamond\n100025484 99997020 1019 club\n100023152 100005065 2801 spade\n100009576 99997533 30228 diamond\n100007164 99999282 5110 diamond\n100031928 100003408 25424 diamond\n100024596 100011335 3738 club\n100001264 99995062 8261 spade\n100021520 100006596 29791 spade\n100004940 99986278 20852 heart\n100030900 100011942 17714 diamond\n100001200 99994761 26059 club\n100012760 100010436 19358 heart\n100005108 99990221 21114 heart\n100014460 100001467 22429 spade\n100006540 99977836 31112 club\n100032356 100003006 6073 club\n100020556 100018930 23217 heart\n100012896 99983279 13023 spade\n100018696 99994655 11586 club\n100008932 64483048 22297 heart\n100003584 99996930 29735 spade\n100022532 100019925 782 club\n100022848 100009910 4676 club\n100005556 99995380 1994 heart\n100010548 100010248 15882 heart\n100020424 100018672 32679 club\n100028296 100018256 12674 heart\n100020072 100019462 12819 heart\n100014932 99984237 28113 heart\n100020040 99991355 26489 diamond\n100026740 100015482 22045 club\n100011192 99985928 7606 heart\n100020608 100014611 29293 heart\n100029556 99997929 25562 club\n100031240 100002066 27814 heart\n100023992 100018391 25825 spade\n", "51\n68 49 11 heart\n28 16 1 club\n28 24 5 spade\n96 31 24 club\n68 36 1 diamond\n4 3 1 heart\n12 5 3 club\n60 34 9 heart\n36 7 6 spade\n24 11 1 spade\n32 17 5 club\n24 11 6 diamond\n16 11 4 spade\n56 24 2 diamond\n32 23 5 diamond\n8 8 2 heart\n88 88 12 heart\n92 92 18 diamond\n60 18 17 spade\n84 10 2 diamond\n92 83 17 spade\n100 85 19 heart\n100 39 19 spade\n28 5 6 heart\n84 70 21 diamond\n36 9 1 heart\n20 19 3 club\n96 22 14 club\n24 11 4 club\n80 58 11 diamond\n92 73 13 spade\n12 7 3 spade\n56 23 1 diamond\n76 2 10 diamond\n52 32 12 heart\n18 17 16 diamond\n4 2 1 spade\n56 19 2 heart\n56 30 5 heart\n40 40 4 spade\n88 22 12 heart\n96 65 10 diamond\n56 27 3 heart\n72 24 9 heart\n18 6 8 spade\n36 14 3 diamond\n60 40 13 heart\n88 7 6 club\n60 51 14 club\n64 51 13 heart\n28 12 1 club\n" ]
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CodeContests
Fibonacci number f(i) appear in a variety of puzzles in nature and math, including packing problems, family trees or Pythagorean triangles. They obey the rule f(i) = f(i - 1) + f(i - 2), where we set f(0) = 1 = f(-1). Let V and d be two certain positive integers and be N ≡ 1001 a constant. Consider a set of V nodes, each node i having a Fibonacci label F[i] = (f(i) mod N) assigned for i = 1,..., V ≤ N. If |F(i) - F(j)| < d, then the nodes i and j are connected. Given V and d, how many connected subsets of nodes will you obtain? <image> Figure 1: There are 4 connected subsets for V = 20 and d = 100. Constraints * 1 ≤ V ≤ 1000 * 1 ≤ d ≤ 150 Input Each data set is defined as one line with two integers as follows: Line 1: Number of nodes V and the distance d. Input includes several data sets (i.e., several lines). The number of dat sets is less than or equal to 50. Output Output line contains one integer - the number of connected subsets - for each input line. Example Input 5 5 50 1 13 13 Output 2 50 8
stdin
null
342
1
[ "5 5\n50 1\n13 13\n" ]
[ "2\n50\n8\n" ]
[ "5 5\n50 2\n13 13\n", "2 5\n50 1\n13 13\n", "2 5\n50 1\n15 13\n", "5 10\n50 1\n13 20\n", "5 10\n50 1\n22 20\n", "8 10\n50 1\n22 20\n", "8 2\n50 1\n22 20\n", "8 2\n50 2\n22 20\n", "5 5\n50 1\n13 18\n", "5 5\n50 2\n13 4\n" ]
[ "2\n47\n8\n", "1\n50\n8\n", "1\n50\n10\n", "1\n50\n7\n", "1\n50\n13\n", "3\n50\n13\n", "7\n50\n13\n", "7\n47\n13\n", "2\n50\n7\n", "2\n47\n10\n" ]
CodeContests
<!-- Problem F --> Flipping Colors You are given an undirected complete graph. Every pair of the nodes in the graph is connected by an edge, colored either red or black. Each edge is associated with an integer value called penalty. By repeating certain operations on the given graph, a "spanning tree" should be formed with only the red edges. That is, the number of red edges should be made exactly one less than the number of nodes, and all the nodes should be made connected only via red edges, directly or indirectly. If two or more such trees can be formed, one with the least sum of penalties of red edges should be chosen. In a single operation step, you choose one of the nodes and flip the colors of all the edges connected to it: Red ones will turn to black, and black ones to red. <image> Fig. F-1 The first dataset of Sample Input and its solution For example, the leftmost graph of Fig. F-1 illustrates the first dataset of Sample Input. By flipping the colors of all the edges connected to the node 3, and then flipping all the edges connected to the node 2, you can form a spanning tree made of red edges as shown in the rightmost graph of the figure. Input The input consists of multiple datasets, each in the following format. > n > e1,2 e1,3 ... e1,n-1 e1,n > e2,3 e2,4 ... e2,n > ... > en-1,n The integer n (2 ≤ n ≤ 300) is the number of nodes. The nodes are numbered from 1 to n. The integer ei,k (1 ≤ |ei,k| ≤ 105) denotes the penalty and the initial color of the edge between the node i and the node k. Its absolute value |ei,k| represents the penalty of the edge. ei,k > 0 means that the edge is initially red, and ei,k < 0 means it is black. The end of the input is indicated by a line containing a zero. The number of datasets does not exceed 50. Output For each dataset, print the sum of edge penalties of the red spanning tree with the least sum of edge penalties obtained by the above-described operations. If a red spanning tree can never be made by such operations, print `-1`. Sample Input 4 3 3 1 2 6 -4 3 1 -10 100 5 -2 -2 -2 -2 -1 -1 -1 -1 -1 1 4 -4 7 6 2 3 -1 0 Output for the Sample Input 7 11 -1 9 Example Input 4 3 3 1 2 6 -4 3 1 -10 100 5 -2 -2 -2 -2 -1 -1 -1 -1 -1 1 4 -4 7 6 2 3 -1 0 Output 7 11 -1 9
stdin
null
4,085
1
[ "4\n3 3 1\n2 6\n-4\n3\n1 -10\n100\n5\n-2 -2 -2 -2\n-1 -1 -1\n-1 -1\n1\n4\n-4 7 6\n2 3\n-1\n0\n" ]
[ "7\n11\n-1\n9\n" ]
[ "4\n3 3 1\n2 6\n-4\n3\n1 -10\n100\n5\n-2 -2 -2 -2\n-1 -1 -1\n-2 -1\n1\n4\n-4 7 6\n2 3\n-1\n0\n", "4\n3 3 1\n2 6\n-4\n3\n1 -10\n100\n5\n-2 -3 -1 -2\n-1 -1 -1\n-2 -1\n1\n4\n-4 7 6\n1 3\n-1\n0\n", "4\n3 3 1\n2 6\n-4\n3\n1 -10\n100\n5\n-2 -3 -2 -2\n-1 -1 -1\n-2 -1\n1\n4\n-4 7 2\n1 3\n-1\n0\n", "4\n3 3 1\n2 8\n-4\n0\n1 -10\n101\n5\n-2 -2 -2 -2\n-1 -1 -1\n-1 -1\n1\n4\n-4 5 6\n2 3\n-1\n0\n", "4\n3 3 1\n2 9\n-5\n0\n1 -8\n101\n5\n-4 -3 -2 -2\n-1 -1 -1\n-2 -2\n1\n4\n-4 0 10\n2 1\n0\n0\n", "4\n3 4 0\n2 9\n-5\n0\n1 -21\n101\n5\n-4 -3 -2 -3\n-1 -1 -1\n-2 -2\n1\n4\n-4 0 7\n2 1\n0\n0\n", "4\n3 3 2\n2 6\n-4\n3\n1 -10\n100\n5\n-2 -2 -2 -1\n-1 -2 -1\n-2 -1\n1\n4\n-4 7 6\n2 3\n-1\n0\n", "4\n3 3 1\n2 6\n-4\n3\n1 -10\n101\n5\n-2 -2 -2 -2\n-1 -1 -1\n-1 -1\n1\n4\n-4 5 6\n4 3\n-1\n0\n", "4\n3 3 1\n2 6\n-5\n3\n1 -10\n100\n5\n-2 -3 -2 -2\n-1 -1 -1\n-2 -1\n1\n4\n-4 7 6\n1 3\n-1\n0\n", "4\n3 3 1\n2 2\n-4\n3\n1 -10\n000\n5\n-2 -2 -2 -1\n-1 -2 -1\n-2 -1\n1\n4\n-4 7 6\n2 3\n0\n0\n" ]
[ "7\n11\n-1\n9\n", "7\n11\n-1\n8\n", "7\n11\n-1\n6\n", "7\n", "8\n", "17\n", "8\n11\n-1\n9\n", "7\n11\n-1\n10\n", "8\n11\n-1\n8\n", "7\n-1\n-1\n9\n" ]
CodeContests
Takahashi is standing on a two-dimensional plane, facing north. Find the minimum positive integer K such that Takahashi will be at the starting position again after he does the following action K times: * Go one meter in the direction he is facing. Then, turn X degrees counter-clockwise. Constraints * 1 \leq X \leq 179 * X is an integer. Input Input is given from Standard Input in the following format: X Output Print the number of times Takahashi will do the action before he is at the starting position again. Examples Input 90 Output 4 Input 1 Output 360
stdin
null
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[ "90\n", "1\n" ]
[ "4\n", "360\n" ]
[ "155\n", "2\n", "297\n", "408\n", "643\n", "810\n", "928\n", "1780\n", "33\n", "70\n" ]
[ "72\n", "180\n", "40\n", "15\n", "360\n", "4\n", "45\n", "18\n", "120\n", "36\n" ]
CodeContests
Problem Ghosts line up in a straight line from left to right with $ N $ people. At first, the $ i $ th ghost from the left is facing left if $ U_i $ is'L', and facing right if it is'R'. They are so timid that I don't want to see scary ghosts as much as possible. You can instruct each ghost to look back. It's scary to look back, so once the $ i $ th ghost looks back, it creates a fear of $ A_i $. When the ghost looking to the left looks back, it turns to the right. When the ghost looking to the right looks back, it turns to the left. For $ i <j $, if the $ i $ th ghost is pointing to the right and the $ j $ th ghost is pointing to the left, then the $ i $ th ghost and the $ j $ th ghost are pointing to the left. Is defined as facing each other. The following constraints are given in $ M $. The $ S_i $ th ghost is scared of the $ T_i $ th ghost. In the final state, if the $ S_i $ th ghost and the $ T_i $ th ghost face each other, a fear level of $ B_i $ will occur. Find the minimum value of the total fear that occurs when you give the optimal instructions. Constraints The input satisfies the following conditions. * $ 1 \ le N \ le 500 $ * $ 0 \ le M \ le \ min (N \ times (N-1), 1000) $ * $ | U | = N $ * $ U_i = $'L' or'R' * $ 1 \ le A_i \ le 1000 $ * $ 1 \ le B_i \ le 1000 $ * $ 1 \ le S_i, T_i \ le N $ * $ (S_i, T_i) \ ne (S_j, T_j), $ if $ i \ ne j $ * $ S_i \ ne T_i $ Input The input is given in the following format. $ N $ $ M $ $ U $ $ A_1 $ $ A_2 $ $ ... $ $ A_N $ $ S_1 $ $ T_1 $ $ B_1 $ $ S_2 $ $ T_2 $ $ B_2 $ $ \ vdots $ $ S_M $ $ T_M $ $ B_M $ All inputs are given as integers. Output Output the minimum value of the total fear level. Examples Input 3 1 RRL 5 5 1 3 1 10 Output 1 Input 5 5 RLRLL 9 5 1 3 10 1 3 5 2 4 9 4 2 16 1 5 2 3 5 10 Output 8
stdin
null
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[ "3 1\nRRL\n5 5 1\n3 1 10\n", "5 5\nRLRLL\n9 5 1 3 10\n1 3 5\n2 4 9\n4 2 16\n1 5 2\n3 5 10\n" ]
[ "1\n", "8\n" ]
[ "3 1\nRRL\n5 5 1\n3 1 3\n", "5 5\nRLRLL\n9 5 1 3 10\n1 3 5\n2 4 9\n4 2 7\n1 5 2\n3 5 10\n", "5 5\nRLRLL\n9 5 1 3 10\n1 4 5\n2 4 9\n2 2 7\n1 5 2\n3 5 10\n", "5 5\nRLRLL\n9 5 1 3 6\n1 4 5\n2 4 9\n2 2 7\n1 5 0\n3 5 10\n", "5 5\nRLRLL\n9 5 1 3 6\n1 4 5\n2 4 9\n2 2 7\n1 5 0\n3 5 0\n", "5 5\nRLRLL\n9 5 1 3 10\n1 3 7\n2 4 9\n4 2 7\n1 5 2\n3 5 10\n", "5 5\nRLRLL\n9 5 1 3 6\n1 4 5\n2 4 9\n2 2 7\n1 5 1\n3 5 10\n", "5 5\nLLRLR\n9 5 1 3 6\n1 4 5\n2 4 9\n2 2 7\n1 5 1\n3 5 0\n", "5 5\nRLRLL\n9 5 1 3 6\n1 5 9\n1 4 9\n2 2 2\n1 5 1\n3 5 1\n", "5 5\nRLRLL\n9 5 0 3 6\n1 4 5\n2 4 2\n2 2 7\n1 5 4\n3 5 1\n" ]
[ "1\n", "8\n", "6\n", "4\n", "3\n", "10\n", "5\n", "0\n", "9\n", "7\n" ]
CodeContests
Let f(x) represent the number of set bits (i.e. bit = 1) in the binary representation of non-negative integer x. For e.g. f(3) = 2, since 3 is represented as '11' in binary. Xenny's friend Xynazog gave him the following task: Given two non-negative integers A and B, find the sum of f(x) for all x in range [A, B] (A and B inclusive). Xenny being bad at counting, needs your help to solve this task. Input Format: First line contains an integer T - the no. of testcases. T lines follow. Each line contains two space-separated integers - A and B. Output Format: Output an integer - the answer to each testcase on a newline. Constraints: 1 ≤ T ≤ 10^5 1 ≤ A, B ≤ 10^9 SAMPLE INPUT 1 1 3 SAMPLE OUTPUT 4 Explanation 1 => '01' 2 => '10' 3 => '11' Total Set Bits = 4
stdin
null
2,515
1
[ "1\n1 3\n\nSAMPLE\n" ]
[ "4\n" ]
[ "1\n1 1\n\nSAMPLE\n", "1\n2 1\n\nASMPLE\n", "1\n4 1\n\nELPMSA\n", "1\n4 0\n\nELPMSA\n", "1\n1 3\n\nELPMAS\n", "1\n1 2\n\nASMPLE\n", "1\n3 1\n\nASMPLE\n", "1\n1 4\n\nELPAMT\n", "1\n3 0\n\nASNPLE\n", "1\n1 6\n\nELPALT\n" ]
[ "1\n", "0\n", "-3\n", "-4\n", "4\n", "2\n", "-1\n", "5\n", "-2\n", "9\n" ]
CodeContests
Chef loves games! But he likes to invent his own. Now he plays game "Digit Jump". Chef has sequence of digits S1, S2,..., SN,. He is staying in the first digit (S1) and want to reach the last digit (SN) in the minimal number of jumps. While staying in some digit x with index i (digit Si) Chef can jump into digits with indices i - 1 (Si-1) and i + 1 (Si+1) but he can't jump out from sequence. Or he can jump into any digit with the same value x. Help Chef to find the minimal number of jumps he need to reach digit SN from digit S1.    Input Input contains a single line consist of string S of length N- the sequence of digits.   Output In a single line print single integer - the minimal number of jumps he needs.   Constraints 1 ≤ N ≤ 10^5 Each symbol of S is a digit from 0 to 9.   Example Input: 01234567890 Output: 1 Input: 012134444444443 Output: 4   Explanation In the first case Chef can directly jump from the first digit (it is 0) to the last (as it is also 0). In the second case Chef should jump in such sequence (the number of digits from 1: 1-2-4-5-15).
stdin
null
358
1
[ "01234567890\n", "012134444444443\n" ]
[ "1\n", "4\n" ]
[ "1352328136\n", "20776892991725\n", "6858574858270\n", "10353326888495\n", "2595212919780\n", "1149262658611\n", "361054554527\n", "6\n", "1404985567\n", "22244193067\n" ]
[ "3\n", "2\n", "5\n", "4\n", "6\n", "1\n", "7\n", "0\n", "8\n", "9\n" ]
CodeContests
Ikshu's love for binary numbers Ikshu recently learnt to generate random numbers. He is generating stream binary numbers. Uptil now he has generated N bits of the binary number. Now, he wants to know if there is a streak of contiguous 1's of length K. Help him to find the probability of existence of such a streak in his binary number. Assume that probability of generating a one and zero is equal i.e 0.5. Input: First and only line of input contains two space separated integers N and K as described above. Output: output contains one line containing probablity. output should be in n/m form where it is n/m is in its lowest fraction. Constraints: 1 ≤ N ≤ 60 1 ≤ K ≤ N SAMPLE INPUT 5 1 SAMPLE OUTPUT 31/32 Explanation Ikshu generated the 5 BIT binary number. Now, Out of 32 distinct binary numbers possible there are 31 cases having atleast one set bit. So, ans is 31/32
stdin
null
1,078
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[ "5 1\n\nSAMPLE\n" ]
[ "31/32\n" ]
[ "5 1\n\nS@MPLE\n", "8 1\n\nSPM@LE\n", "1 1\n\nSPM@LE\n", "7 1\n\nSAMPLE\n", "10 1\n\nSPM@LE\n", "7 2\n\nSAMPLE\n", "2 1\n\nSPLALE\n", "4 1\n\nSPALLE\n", "10 2\n\nSPM@LE\n", "3 1\n\nSPALLE\n" ]
[ "31/32\n", "255/256\n", "1/2\n", "127/128\n", "1023/1024\n", "47/64\n", "3/4\n", "15/16\n", "55/64\n", "7/8\n" ]
CodeContests
Prize Segtree entered a programming contest with a team of $ N $ and won a $ K $ yen prize! I'm trying to distribute this prize now. Each $ N $ team member, including Segtree, is numbered from $ 1 $ to $ N $ in order of ability. Segtree is $ 1 $. If the prize amount of $ i $'s teammate $ (i \ geq 2) $ is less than "$ i-half of the prize amount of $ i's teammate rounded down to an integer", that person Get angry. When distributing the $ K $ Yen prize so that no one gets angry, find the maximum prize that Segtree can get. input Input is given from standard input in the following format. N K output Please output the maximum prize money that Segtree can receive. However, insert a line break at the end. Constraint * $ 1 \ leq N, K \ leq 10 ^ {18} $ * All inputs are integers. Input example 1 1 1 Output example 1 1 Input example 2 819875141880895728 349993004923078537 Output example 2 174996502461539284 Example Input 1 1 Output 1
stdin
null
949
1
[ "1 1\n" ]
[ "1\n" ]
[ "1 2\n", "2 1\n", "1 3\n", "1 4\n", "1 6\n", "2 12\n", "2 8\n", "1 9\n", "3 12\n", "14 32\n" ]
[ "2\n", "1\n", "3\n", "4\n", "6\n", "8\n", "5\n", "9\n", "7\n", "17\n" ]
CodeContests
You were caught in a magical trap and transferred to a strange field due to its cause. This field is three- dimensional and has many straight paths of infinite length. With your special ability, you found where you can exit the field, but moving there is not so easy. You can move along the paths easily without your energy, but you need to spend your energy when moving outside the paths. One unit of energy is required per distance unit. As you want to save your energy, you have decided to find the best route to the exit with the assistance of your computer. Your task is to write a program that computes the minimum amount of energy required to move between the given source and destination. The width of each path is small enough to be negligible, and so is your size. Input The input consists of multiple data sets. Each data set has the following format: N xs ys zs xt yt zt x1,1 y1,1 z1,1 x1,2 y1,2 z1,2 . . . xN,1 yN,1 zN,1 xN,2 yN,2 zN,2 N is an integer that indicates the number of the straight paths (2 ≤ N ≤ 100). (xs, ys, zs) and (xt, yt, zt) denote the coordinates of the source and the destination respectively. (xi,1, yi,1, zi,1) and (xi,2, yi,2, zi,2) denote the coordinates of the two points that the i-th straight path passes. All coordinates do not exceed 30,000 in their absolute values. The distance units between two points (xu, yu, zu) and (xv, yv, zv) is given by the Euclidean distance as follows: <image> It is guaranteed that the source and the destination both lie on paths. Also, each data set contains no straight paths that are almost but not actually parallel, although may contain some straight paths that are strictly parallel. The end of input is indicated by a line with a single zero. This is not part of any data set. Output For each data set, print the required energy on a line. Each value may be printed with an arbitrary number of decimal digits, but should not contain the error greater than 0.001. Example Input 2 0 0 0 0 2 0 0 0 1 0 0 -1 2 0 0 0 2 0 3 0 5 0 3 1 4 0 1 0 0 -1 0 1 0 1 -1 0 1 3 1 -1 3 1 1 2 0 0 0 3 0 0 0 0 0 0 1 0 3 0 0 3 1 0 0 Output 1.414 2.000 3.000
stdin
null
2,063
1
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[ "1.414\n2.000\n3.000\n" ]
[ "2\n0 0 0 0 2 0\n0 0 1 0 0 -1\n2 0 0 0 2 0\n3\n0 5 0 3 1 4\n0 1 0 0 -1 0\n1 0 1 -1 0 1\n3 1 -1 3 1 1\n2\n0 0 0 3 0 0\n0 -1 0 0 1 0\n3 0 0 3 1 0\n0\n", "2\n0 0 0 0 2 0\n0 0 1 0 0 -1\n2 0 0 0 2 0\n5\n0 5 0 3 1 4\n0 1 0 0 -1 0\n1 0 1 -1 0 1\n3 1 -1 3 1 1\n2\n0 1 0 3 0 0\n0 -1 0 0 1 0\n3 0 0 3 1 0\n0\n", "2\n0 0 0 0 2 0\n0 0 1 0 0 -1\n2 0 0 0 2 0\n5\n0 5 0 3 1 4\n0 1 0 0 -1 0\n1 0 1 -1 0 1\n3 1 -1 3 1 0\n2\n0 1 0 3 1 0\n0 -1 -1 0 1 0\n3 0 0 3 1 0\n0\n", "2\n0 0 0 0 2 0\n0 0 1 0 0 -1\n2 0 0 0 2 0\n3\n0 1 0 3 1 6\n0 1 0 0 -1 -1\n1 0 1 -1 0 1\n3 1 -1 3 1 1\n2\n0 1 0 3 0 0\n0 -1 0 0 1 0\n3 0 0 3 1 0\n0\n", "2\n0 0 0 0 2 0\n0 0 1 0 0 -1\n2 -1 0 0 2 0\n3\n0 1 0 3 1 6\n0 1 0 0 -1 -1\n1 0 1 -1 0 1\n3 1 -1 3 1 1\n2\n0 1 0 3 0 0\n0 -1 0 0 1 0\n3 0 0 3 1 0\n0\n", "2\n0 0 0 0 2 0\n0 0 1 0 0 -1\n2 0 -1 0 2 0\n3\n0 5 0 3 1 4\n0 1 0 0 -1 0\n1 0 1 -1 0 1\n3 1 -1 3 1 1\n2\n0 0 0 0 0 0\n0 -1 0 0 1 0\n3 0 0 3 1 0\n0\n", "2\n0 0 0 0 2 0\n0 0 1 0 0 -1\n2 0 0 0 2 0\n5\n0 5 0 3 1 4\n0 1 0 0 -1 0\n1 0 1 -1 0 1\n3 1 -1 3 1 0\n2\n0 1 0 3 1 0\n0 -1 -1 0 2 0\n3 0 0 3 1 -1\n0\n", "2\n0 0 0 0 2 0\n0 0 1 0 0 -1\n2 0 0 0 2 0\n5\n0 5 0 3 1 4\n0 1 0 0 -1 0\n1 0 1 -1 0 1\n3 1 -1 3 1 0\n3\n0 1 0 3 0 0\n0 -1 0 0 1 0\n3 0 0 3 1 0\n0\n", "2\n0 0 0 0 0 0\n0 0 1 0 0 -1\n2 0 0 0 2 0\n5\n0 5 0 3 1 4\n0 1 0 0 -1 0\n1 0 1 -1 0 1\n3 1 -1 3 1 0\n2\n0 1 0 3 0 0\n0 -1 -2 0 1 0\n3 0 0 3 1 0\n0\n", "2\n0 0 0 0 2 0\n0 0 1 0 0 -1\n2 0 0 0 2 0\n3\n0 1 0 3 1 6\n0 1 0 0 -1 -1\n1 0 1 -1 0 2\n3 1 -1 3 1 1\n2\n0 1 0 3 0 0\n0 -1 0 0 1 0\n3 0 0 3 1 0\n0\n" ]
[ "1.414213562\n2.000000000\n3.000000000\n", "1.414213562\n1.000000000\n", "1.414213562\n1.447213595\n", "1.414213562\n2.341640786\n3.000000000\n", "1.109400392\n2.341640786\n3.000000000\n", "1.414213562\n2.000000000\n0.000000000\n", "1.414213562\n1.316227766\n", "1.414213562\n0.707106781\n", "0.000000000\n1.000000000\n", "1.414213562\n2.632993162\n3.000000000\n" ]
CodeContests
Problem Statement Sereja has a sequence of n integers a[1], a[2], ..., a[n]. Sereja can do following transformation of the array:   create a new sequence of n integers b[1], b[2], ..., b[n]in this way: (1 ≤ i ≤ n) Replace the sequence a by b, i.e., a[i] = b[i] for all i in [1, n]   Sereja decided to use his transformation k times. Then he computed the value of , where r — the sequence obtained after k transformations of sequence a, as described above.   Sereja lost sequence a, but he was left with the numbers q(r) and k. Now Sereja is interested in the question : what is the number of the sequences of the integers с[1], с[2], ..., с[n], such that 1 ≤ c[i] ≤ m and q(d) = q(r), where d — the sequence obtained after k transformations of sequence c, as described above.   Input The first lines contains a single integer T, denoting the number of test cases. Each test case consist of four integers : n, m, q(r), k.   Output In a single line print the remainder of division the answer of the problem on number 10^9 + 7.   Constraints 1 ≤ T ≤ 10000 1 ≤ n, m, q(r), k ≤ 10^9   Example Input: 3 1 1 1 1 2 2 1 1 2 3 1 1 Output: 0 2 4
stdin
null
3,499
1
[ "3\n1 1 1 1\n2 2 1 1\n2 3 1 1\n" ]
[ "0\n2\n4\n" ]
[ "3\n0 1 1 1\n2 2 1 1\n2 3 1 1\n", "3\n0 1 1 1\n4 2 1 1\n2 3 1 1\n", "3\n0 1 1 1\n4 1 1 1\n2 3 1 1\n", "3\n-1 1 1 0\n4 1 1 1\n2 3 0 1\n", "3\n-1 1 1 0\n4 1 1 1\n2 3 -1 1\n", "3\n-1 1 1 0\n4 1 1 2\n2 0 -1 2\n", "3\n-2 1 1 0\n8 1 0 0\n2 0 -3 2\n", "3\n-2 1 1 0\n8 2 0 0\n2 0 -3 2\n", "3\n-2 1 1 -1\n8 2 0 0\n2 0 -6 4\n", "3\n-2 1 1 -1\n8 2 0 0\n2 0 -10 4\n" ]
[ "0\n2\n4\n", "0\n14\n4\n", "0\n0\n4\n", "0\n0\n6\n", "0\n0\n8\n", "0\n0\n2\n", "0\n2\n6\n", "0\n4\n6\n", "0\n4\n12\n", "0\n4\n20\n" ]
CodeContests
You are on a game show "Who Wants to Be a Millionaire".The host presents you "N" number of closed doors.There is huge prize behind one door while there are sumo wrestlers behind rest of the doors.Initially you are asked to choose a door.After that the host opens (N-2) doors,revealing sumo wrestlers.The host is omniscient and always reveals sumo wrestlers when he opens the doors. The host then says to you.""Do you want to pick the door you have initially chosen or you want to chose the other closed door?".So it's your decision either stick with your original unopened door or switch to the other unopened door.You are good at maths so you will first calculate the probability of winning the prize by switching from the original selection. INPUT: the first line contain number of testcases "T". "T" testcases follows then.Each testcase contains the number of doors "N". OUTPUT: for each testcase output the probability of winning the prize by switching from the original selection.output upto 6 places of decimal. Constraint: 1 ≤ T ≤ 1000 3 ≤ N ≤ 1000 SAMPLE INPUT 1 3 SAMPLE OUTPUT 0.666667
stdin
null
1,639
1
[ "1\n3\n\nSAMPLE\n" ]
[ "0.666667\n" ]
[ 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"1\n3\n\nSAMPME\n", 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]
CodeContests
This morning Chef wants to jump a little. In a few minutes he will arrive at the point 0. Then he will perform a lot of jumps in such a sequence: 1-jump, 2-jump, 3-jump, 1-jump, 2-jump, 3-jump, 1-jump, and so on. 1-jump means that if Chef is at the point x, he will jump to the point x+1. 2-jump means that if Chef is at the point x, he will jump to the point x+2. 3-jump means that if Chef is at the point x, he will jump to the point x+3. Before the start Chef asks you: will he arrive at the point a after some number of jumps? Input The first line contains a single integer a denoting the point Chef asks about. Output Output "yes" without a quotes if Chef can arrive at point a or "no" without a quotes otherwise. Constraints 0 ≤ a ≤ 10^18 Example Input: 0 Output: yes Input: 1 Output: yes Input: 2 Output: no Input: 3 Output: yes Input: 6 Output: yes Input: 7 Output: yes Input: 10 Output: no Explanation The first reached points are: 0 (+1) 1 (+2) 3 (+3) 6 (+1) 7, and so on.
stdin
null
1,995
1
[ "2\n", "0\n", "3\n", "1\n", "10\n" ]
[ "no\n", "yes\n", "yes\n", "yes\n", "no\n" ]
[ "4\n", "-3\n", "-1\n", "-2\n", "5\n", "-4\n", "8\n", "12\n", "-5\n", "-6\n" ]
[ "no\n", "yes\n", "no\n", "no\n", "no\n", "no\n", "no\n", "yes\n", "yes\n", "yes\n" ]
CodeContests
Good evening, contestants. If a and d are relatively prime positive integers, the arithmetic sequence beginning with a and increasing by d, i.e., a, a + d, a + 2d, a + 3d, a + 4d, ..., contains infinitely many prime numbers. This fact is known as Dirichlet's Theorem on Arithmetic Progressions, which had been conjectured by Johann Carl Friedrich Gauss (1777 - 1855) and was proved by Johann Peter Gustav Lejeune Dirichlet (1805 - 1859) in 1837. For example, the arithmetic sequence beginning with 2 and increasing by 3, i.e., > 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89, 92, 95, 98, ... , contains infinitely many prime numbers > 2, 5, 11, 17, 23, 29, 41, 47, 53, 59, 71, 83, 89, ... . Your mission, should you decide to accept it, is to write a program to find the nth prime number in this arithmetic sequence for given positive integers a, d, and n. As always, should you or any of your team be tired or confused, the secretary disavow any knowledge of your actions. This judge system will self-terminate in three hours. Good luck! Input The input is a sequence of datasets. A dataset is a line containing three positive integers a, d, and n separated by a space. a and d are relatively prime. You may assume a <= 9307, d <= 346, and n <= 210. The end of the input is indicated by a line containing three zeros separated by a space. It is not a dataset. Output The output should be composed of as many lines as the number of the input datasets. Each line should contain a single integer and should never contain extra characters. The output integer corresponding to a dataset a, d, n should be the nth prime number among those contained in the arithmetic sequence beginning with a and increasing by d. FYI, it is known that the result is always less than 106 (one million) under this input condition. Example Input 367 186 151 179 10 203 271 37 39 103 230 1 27 104 185 253 50 85 1 1 1 9075 337 210 307 24 79 331 221 177 259 170 40 269 58 102 0 0 0 Output 92809 6709 12037 103 93523 14503 2 899429 5107 412717 22699 25673
stdin
null
659
1
[ "367 186 151\n179 10 203\n271 37 39\n103 230 1\n27 104 185\n253 50 85\n1 1 1\n9075 337 210\n307 24 79\n331 221 177\n259 170 40\n269 58 102\n0 0 0\n" ]
[ "92809\n6709\n12037\n103\n93523\n14503\n2\n899429\n5107\n412717\n22699\n25673\n" ]
[ "367 186 151\n179 10 203\n271 37 39\n103 230 1\n27 104 185\n253 87 85\n1 1 1\n9075 337 210\n307 24 79\n331 221 177\n259 170 40\n269 58 102\n0 0 0\n", "367 186 151\n179 10 203\n271 37 39\n103 230 1\n27 104 185\n253 87 85\n1 1 1\n9075 337 210\n307 24 79\n331 221 345\n259 170 40\n269 58 102\n0 0 0\n", "367 186 151\n179 10 203\n271 37 39\n103 230 1\n27 104 185\n253 87 85\n1 1 1\n9075 337 210\n307 24 79\n331 221 345\n259 170 40\n37 58 102\n0 0 0\n", "367 186 151\n179 10 203\n271 37 39\n103 230 1\n27 104 185\n253 50 85\n1 1 1\n9075 337 210\n307 24 79\n331 221 177\n259 170 40\n269 75 102\n0 0 0\n", "367 186 151\n179 10 203\n271 37 39\n103 230 1\n27 104 185\n253 87 85\n1 1 1\n10208 337 210\n307 24 79\n331 221 177\n259 170 40\n269 58 102\n0 0 0\n", "367 186 151\n179 10 203\n271 37 39\n103 230 1\n27 104 185\n253 87 85\n1 1 1\n9075 337 210\n307 24 79\n331 221 345\n259 33 40\n269 58 102\n0 0 0\n", "367 186 151\n179 10 203\n271 37 39\n103 230 1\n27 104 185\n253 87 85\n1 1 1\n9075 337 210\n307 24 79\n331 221 345\n259 170 40\n37 58 146\n0 0 0\n", "367 186 151\n179 10 203\n271 37 39\n103 230 1\n19 104 185\n253 87 85\n1 1 1\n10208 337 210\n307 24 79\n331 221 177\n259 170 40\n269 58 102\n0 0 0\n", "367 186 151\n179 10 203\n271 37 39\n103 230 1\n27 104 185\n253 145 85\n1 1 1\n9075 337 210\n307 24 79\n331 221 345\n259 33 40\n269 58 102\n0 0 0\n", "367 186 151\n179 10 203\n271 37 39\n73 230 1\n19 104 185\n253 87 85\n1 1 1\n10208 337 210\n307 24 79\n331 221 177\n259 170 40\n269 58 102\n0 0 0\n" ]
[ "92809\n6709\n12037\n103\n93523\n43579\n2\n899429\n5107\n412717\n22699\n25673\n", "92809\n6709\n12037\n103\n93523\n43579\n2\n899429\n5107\n842341\n22699\n25673\n", "92809\n6709\n12037\n103\n93523\n43579\n2\n899429\n5107\n842341\n22699\n24919\n", "92809\n6709\n12037\n103\n93523\n14503\n2\n899429\n5107\n412717\n22699\n38669\n", "92809\n6709\n12037\n103\n93523\n43579\n2\n925163\n5107\n412717\n22699\n25673\n", "92809\n6709\n12037\n103\n93523\n43579\n2\n899429\n5107\n842341\n6199\n25673\n", "92809\n6709\n12037\n103\n93523\n43579\n2\n899429\n5107\n842341\n22699\n36809\n", "92809\n6709\n12037\n103\n91019\n43579\n2\n925163\n5107\n412717\n22699\n25673\n", "92809\n6709\n12037\n103\n93523\n94793\n2\n899429\n5107\n842341\n6199\n25673\n", "92809\n6709\n12037\n73\n91019\n43579\n2\n925163\n5107\n412717\n22699\n25673\n" ]