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
|
Alice's school is planning to take some students from her class on a field trip. Alice is really excited about it. There are a total of S students in her class. But due to budget constraints, the school is planning to take only N students for the trip. These students will be picked randomly. And each student has equal chance of being picked.
Alice's friend circle has M students including her. Though she is excited about the field trip, she will enjoy it only if there are atleast K of her friends with her on the trip. She is wondering what are the chances of that happening. She needs your help. Tell her the probability that she will enjoy given that she goes on the trip.
Input:
First line of input contains a single integer T, the number of test cases.
Each test starts with a single line having 4 space separated integers, S, N, M and K.
Output:
For each test case, output a line containing the required probability. The answer will be accepted if the relative error is not more than 10^-6.
Constraints:
1 ≤ T ≤ 100
1 ≤ S ≤ 1000
1 ≤ N ≤ S
1 ≤ M ≤ S
0 ≤ K < M
Example:
Input:
3
10 10 5 3
10 4 6 4
3 2 2 1
Output:
1.000000
0.000000
0.500000
Explanation:
Case #1:
Every student will be taken to the trip. So all her 4 friends will accompany her to the trip no matter what.
Case #2:
Alice wants 4 out of her 5 friends to come along with her which isn't possible because the school is willing to pick only 4 students for the trip.
|
stdin
| null | 3,859 | 1 |
[
"3\n10 10 5 3\n10 4 6 4\n3 2 2 1\n"
] |
[
"1.000000\n0.000000\n0.500000\n"
] |
[
"3\n10 10 5 3\n10 4 1 4\n3 2 2 1\n",
"3\n10 10 5 3\n10 4 6 4\n3 2 2 0\n",
"3\n10 9 5 3\n10 8 1 2\n3 2 2 2\n",
"3\n15 10 7 3\n10 3 4 4\n3 3 2 1\n",
"3\n10 9 5 4\n10 8 1 2\n3 2 2 4\n",
"3\n10 10 5 3\n10 4 1 0\n3 2 3 1\n",
"3\n10 9 5 6\n10 8 1 2\n3 2 2 4\n",
"3\n10 10 9 3\n10 1 1 4\n6 3 2 1\n",
"3\n10 10 7 3\n10 5 2 7\n8 3 2 1\n",
"3\n10 9 5 1\n10 8 1 0\n3 2 2 4\n"
] |
[
"1.000000\n0.000000\n0.500000\n",
"1.000000\n0.000000\n1.000000\n",
"1.000000\n0.000000\n0.000000\n",
"0.937063\n0.000000\n1.000000\n",
"0.555556\n0.000000\n0.000000\n",
"1.000000\n1.000000\n1.000000\n",
"0.000000\n0.000000\n0.000000\n",
"1.000000\n0.000000\n0.400000\n",
"1.000000\n0.000000\n0.285714\n",
"1.000000\n1.000000\n0.000000\n"
] |
CodeContests
|
Darshak (Dark) completed with his studies and became a engineer, now to earn his bread he decided to start a company, being a son of rich men he need not to think about investors.
He came up with a idea of bringing up a company so as to start with his first investment was to put up computers in his entire building so being a good at networking he used his skills to get the optimum linking between devices(computers) he planned out about the linking, costing etc.Thus, he finished up deciding the costs.
Now it was the time to connect them, thus he connected every device a dedicated point-to-point link to every other device...
which means the link carries the traffic only between two devices it connects.
Thus the fully connected mesh network has "X" physical channels to link 'n' devices and to accommodate that many links every device on the network must have 'n-1' I/O ports.
The only advantage of putting up such a network was robustness as on failure of any computer it does not bring down the entire network which can also be diagnose easily.
Input:
First line contains 't' number of test cases. Each next 't' lines consists of single number that is the number of devices 'n', Dark wants to connect in his building to develop a network.
Output:
Print the 'X' number of physical channels needed to develop a network.
Constraints:
1 ≤ t ≤ 10^4
1 ≤ n ≤ 10<^7
Author : Darshak Mehta
SAMPLE INPUT
1
3
SAMPLE OUTPUT
3
|
stdin
| null | 4,138 | 1 |
[
"1\n3\n\nSAMPLE\n"
] |
[
"3\n"
] |
[
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"10\n1\n1\n1\n1\n2\n1\n1\n1\n1\n1\n",
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"1\n6\n\nEAMOLS\n"
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"15\n"
] |
CodeContests
|
PCK, which recycles Aizu's precious metal, Aizunium, has a network all over the country and collects Aizunium with many collection vehicles. This company standardizes the unit of weight and number of lumps for efficient processing.
A unit called "bokko" is used for the weight of the lump. x Bocco's Aidunium weighs 2 x grams. If you compare it to a jewel, it's like a "carat." In addition, the unit called "Marugu" is used for the number of lumps. y Marg is 2y. It's like a "dozen" of items in a box. However, x and y must be integers greater than or equal to 0.
Recovery vehicle i collects ai bocco-weighted aidunium by bi-margue. The collected edunium is put into a furnace and melted to regenerate some lumps of edunium, but try to reduce the number of lumps of edunium as much as possible. At this time, the total weight of the collected Izunium and the total weight of the regenerated Izunium do not change.
Create a program that finds the result that minimizes the number of regenerated Izunium lumps given the weight of the Izunium lumps collected by the recovery vehicle in Bocco units and the number of Marg units.
Input
The input is given in the following format.
N
a1 b1
a2 b2
::
aN bN
The first line gives the number of recovery vehicles N (1 ≤ N ≤ 100000). In the next N lines, the integer ai (0 ≤ ai ≤ 100000) representing the weight in "Bocco" units and the integer bi (0 ≤ bi ≤) representing the number in "Margue" units of the mass of Aidunium collected by the recovery vehicle i. 100000) is given.
Output
The weight in Bocco units and the number in Marg units are output in ascending order of weight so that the number of lumps of Izunium obtained after regeneration is minimized.
Examples
Input
3
2 1
1 3
2 2
Output
3 0
5 0
Input
1
100000 2
Output
100002 0
|
stdin
| null | 26 | 1 |
[
"1\n100000 2\n",
"3\n2 1\n1 3\n2 2\n"
] |
[
"100002 0\n",
"3 0\n5 0\n"
] |
[
"1\n100010 2\n",
"3\n2 1\n1 3\n2 0\n",
"1\n100010 3\n",
"3\n2 1\n1 3\n2 1\n",
"1\n100011 3\n",
"3\n2 1\n1 5\n2 2\n",
"1\n000011 3\n",
"3\n2 1\n1 5\n3 2\n",
"1\n000011 1\n",
"3\n3 1\n1 5\n3 2\n"
] |
[
"100012 0\n",
"2 0\n3 0\n4 0\n",
"100013 0\n",
"5 0\n",
"100014 0\n",
"3 0\n4 0\n6 0\n",
"14 0\n",
"3 0\n5 0\n6 0\n",
"12 0\n",
"4 0\n5 0\n6 0\n"
] |
CodeContests
|
Taro, a boy who hates any inefficiencies, pays coins so that the number of coins to be returned as change is minimized in order to do smoothly when he buys something.
One day, however, he doubt if this way is really efficient. When he pays more number of coins, a clerk consumes longer time to find the total value. Maybe he should pay with least possible number of coins.
Thinking for a while, he has decided to take the middle course. So he tries to minimize total number of paid coins and returned coins as change.
Now he is going to buy a product of P yen having several coins. Since he is not good at calculation, please write a program that computes the minimal number of coins.
You may assume following things:
* There are 6 kinds of coins, 1 yen, 5 yen, 10 yen, 50 yen, 100 yen and 500 yen.
* The total value of coins he has is at least P yen.
* A clerk will return the change with least number of coins.
Constraints
* Judge data contains at most 100 data sets.
* 0 ≤ Ni ≤ 1000
Input
Input file contains several data sets. One data set has following format:
P N1 N5 N10 N50 N100 N500
Ni is an integer and is the number of coins of i yen that he have.
The end of input is denoted by a case where P = 0. You should output nothing for this data set.
Output
Output total number of coins that are paid and are returned.
Example
Input
123 3 0 2 0 1 1
999 9 9 9 9 9 9
0 0 0 0 0 0 0
Output
6
3
|
stdin
| null | 1,537 | 1 |
[
"123 3 0 2 0 1 1\n999 9 9 9 9 9 9\n0 0 0 0 0 0 0\n"
] |
[
"6\n3\n"
] |
[
"123 3 0 2 0 1 1\n999 9 9 9 9 9 10\n0 0 0 0 0 0 0\n",
"123 3 1 2 0 1 1\n1315 8 9 9 9 14 10\n0 0 0 0 0 0 0\n",
"105 3 1 2 1 2 1\n999 9 9 9 1 15 10\n0 0 0 0 0 0 0\n",
"123 5 1 2 2 0 1\n999 21 9 9 1 9 10\n0 0 0 0 0 0 0\n",
"105 3 1 2 1 2 1\n1413 9 9 9 1 15 10\n0 0 0 0 0 0 0\n",
"167 3 1 2 1 2 1\n1826 9 9 9 1 15 10\n0 0 0 0 0 0 0\n",
"123 3 0 4 0 1 1\n1220 14 9 6 9 9 9\n0 0 0 0 0 0 0\n",
"123 3 0 2 0 1 1\n1150 9 9 9 9 9 9\n0 0 0 0 0 0 0\n",
"123 3 0 2 0 2 1\n999 14 9 9 3 9 0\n0 0 0 0 0 0 0\n",
"123 3 0 2 0 2 0\n1263 14 10 9 3 18 1\n0 0 0 0 0 0 0\n"
] |
[
"6\n3\n",
"6\n7\n",
"2\n3\n",
"7\n3\n",
"2\n8\n",
"6\n10\n",
"6\n6\n",
"6\n4\n",
"6\n12\n",
"6\n13\n"
] |
CodeContests
|
Square1001 has seen an electric bulletin board displaying the integer 1. He can perform the following operations A and B to change this value:
* Operation A: The displayed value is doubled.
* Operation B: The displayed value increases by K.
Square1001 needs to perform these operations N times in total. Find the minimum possible value displayed in the board after N operations.
Constraints
* 1 \leq N, K \leq 10
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
K
Output
Print the minimum possible value displayed in the board after N operations.
Examples
Input
4
3
Output
10
Input
10
10
Output
76
|
stdin
| null | 1,488 | 1 |
[
"10\n10\n",
"4\n3\n"
] |
[
"76\n",
"10\n"
] |
[
"10\n17\n",
"4\n4\n",
"10\n15\n",
"4\n7\n",
"10\n11\n",
"4\n2\n",
"10\n14\n",
"4\n0\n",
"10\n24\n",
"4\n-1\n"
] |
[
"117\n",
"12\n",
"106\n",
"15\n",
"82\n",
"8\n",
"100\n",
"1\n",
"152\n",
"-4\n"
] |
CodeContests
|
Statement: Sourav and his friends are in kolkata city and they are
planning for a city tour. So, they booked a TUBER cab
(Stop Giggling). Please help them to find the estimated fare
according to the fare evaluator system of TUBER cabs.
How to evaluate fare?
For first 2 Kilometers, Fare is 50 units (i.e., Base Charge or Minimum Charge).
For more than 2 Kilometers, Fare is 12 units/Kilometer (except first 2 Kilometers).
Waiting charge is 2 units/min.
Maximum distance travelled by cab services is 60 Kilometers.
Input: First line of input containts T, i.e., number of test
cases, followed by T lines each containing-
Total distance, D
Waiting time, WT (in minutes)
D & WT are space seperated values on each line.
Output: T lines each containing estimated fare. If D exceeds
maximum distance travel value, print NA.
Constraints: 1 ≤ T ≤ 100 | 1 ≤ D ≤ 60 | 1 ≤ WT ≤ 250
SAMPLE INPUT
3
5 2
12 0
61 3
SAMPLE OUTPUT
90
170
NA
Explanation
In the above sample input,
For the 1st case, D=5 and WT=2, so estimated fare is 90 units.
For the 3rd case, D=61 and WT=3, since TUBER cabs do not travel beyond 60 kilometers, so output is NA.
|
stdin
| null | 4,098 | 1 |
[
"3\n5 2\n12 0\n61 3\n\nSAMPLE\n"
] |
[
"90\n170\nNA\n"
] |
[
"3\n5 1\n12 0\n61 3\n\nSAMPLE\n",
"3\n7 1\n12 0\n61 3\n\nSAMPLE\n",
"3\n7 1\n12 0\n18 3\n\nSAMPLE\n",
"3\n7 1\n12 0\n33 3\n\nELPMAS\n",
"3\n5 1\n12 0\n33 3\n\nELPMAS\n",
"3\n5 1\n12 0\n14 3\n\nELPMAS\n",
"3\n5 1\n12 0\n14 1\n\nEMPMAS\n",
"3\n5 1\n17 0\n14 1\n\nEMPMAS\n",
"3\n5 1\n17 0\n14 2\n\nEMPMAS\n",
"3\n5 1\n17 0\n14 4\n\nEMPMAS\n"
] |
[
"88\n170\nNA\n",
"112\n170\nNA\n",
"112\n170\n248\n",
"112\n170\n428\n",
"88\n170\n428\n",
"88\n170\n200\n",
"88\n170\n196\n",
"88\n230\n196\n",
"88\n230\n198\n",
"88\n230\n202\n"
] |
CodeContests
|
A - Everlasting Zero
Problem Statement
You are very absorbed in a famous role-playing game (RPG), "Everlasting -Zero-". An RPG is a game in which players assume the roles of characters in a fictional setting. While you play the game, you can forget your "real life" and become a different person.
To play the game more effectively, you have to understand two notions, a skill point and a special command. A character can boost up by accumulating his experience points. When a character boosts up, he can gain skill points.
You can arbitrarily allocate the skill points to the character's skills to enhance the character's abilities. If skill points of each skill meets some conditions simultaneously (e.g., the skill points of some skills are are greater than or equal to the threshold values and those of others are less than or equal to the values) , the character learns a special command. One important thing is that once a character learned the command, he will never forget it. And once skill points are allocated to the character, you cannot revoke the allocation. In addition, the initial values of each skill is 0.
The system is so complicated that it is difficult for ordinary players to know whether a character can learn all the special commands or not. Luckily, in the "real" world, you are a great programmer, so you decided to write a program to tell whether a character can learn all the special commnads or not. If it turns out to be feasible, you will be more absorbed in the game and become happy.
Input
The input is formatted as follows.
M N
K_1
s_{1,1} cond_{1,1} t_{1,1}
s_{1,2} cond_{1,2} t_{1,2}
...
s_{1,K_1} cond_{1,K_1} t_{1,K_1}
K_2
...
K_M
s_{M,1} cond_{M,1} t_{M,1}
s_{M,2} cond_{M,2} t_{M,2}
...
s_{M,K_M} cond_{M,K_M} t_{M,K_M}
The first line of the input contains two integers (M, N), where M is the number of special commands (1 \leq M \leq 100), N is the number of skills (1 \leq N \leq 100). All special commands and skills are numbered from 1.
Then M set of conditions follows. The first line of a condition set contains a single integer K_i (0 \leq K_i \leq 100), where K_i is the number of conditions to learn the i-th command. The following K_i lines describe the conditions on the skill values. s_{i,j} is an integer to identify the skill required to learn the command. cond_{i,j} is given by string "<=" or ">=". If cond_{i,j} is "<=", the skill point of s_{i,j}-th skill must be less than or equal to the threshold value t_{i,j} (0 \leq t_{i,j} \leq 100). Otherwise, i.e. if cond_{i,j} is ">=", the skill point of s_{i,j} must be greater than or equal to t_{i,j}.
Output
Output "Yes" (without quotes) if a character can learn all the special commands in given conditions, otherwise "No" (without quotes).
Sample Input 1
2 2
2
1 >= 3
2 <= 5
2
1 >= 4
2 >= 3
Output for the Sample Input 1
Yes
Sample Input 2
2 2
2
1 >= 5
2 >= 5
2
1 <= 4
2 <= 3
Output for the Sample Input 2
Yes
Sample Input 3
2 2
2
1 >= 3
2 <= 3
2
1 <= 2
2 >= 5
Output for the Sample Input 3
No
Sample Input 4
1 2
2
1 <= 10
1 >= 15
Output for the Sample Input 4
No
Sample Input 5
5 5
3
2 <= 1
3 <= 1
4 <= 1
4
2 >= 2
3 <= 1
4 <= 1
5 <= 1
3
3 >= 2
4 <= 1
5 <= 1
2
4 >= 2
5 <= 1
1
5 >= 2
Output for the Sample Input 5
Yes
Example
Input
2 2
2
1 >= 3
2
Output
Yes
|
stdin
| null | 3,330 | 1 |
[
"2 2\n2\n1 >= 3\n2\n"
] |
[
"Yes\n"
] |
[
"2 2\n4\n1 >= 3\n2\n",
"2 2\n7\n1 >= 3\n2\n",
"2 2\n7\n1 >= 3\n3\n",
"2 2\n7\n1 >= 3\n0\n",
"2 2\n3\n1 >= 3\n0\n",
"3 2\n3\n1 >= 3\n0\n",
"3 1\n3\n1 >= 3\n0\n",
"2 1\n3\n1 >= 3\n0\n",
"2 2\n0\n1 >= 3\n2\n",
"2 2\n4\n1 >= 3\n0\n"
] |
[
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n",
"Yes\n"
] |
CodeContests
|
Rani works at sweet shop and is currently arranging sweets i.e. putting sweets in boxes. There are some boxes which contains sweets initially but they are not full. Rani have to fill boxes completely thereby minimizing the total no. of boxes.
You are given N no. of boxes, their initial amount and total capacity in grams. You have to print out the minimum no. of boxes required to store given amount of sweets.
Input:
First line contains no. of test cases. Each test case contains N no. of boxes and next two lines contains n values each denoting their initial amount and total capacity.
Output:
Print out the minimum no. of boxes required to store given amount of sweets.
SAMPLE INPUT
2
3
300 525 110
350 600 115
6
1 200 200 199 200 200
1000 200 200 200 200 200
SAMPLE OUTPUT
2
1
Explanation
Testcase 1:
One way to pack the sweets onto as few boxes as possible is as follows. First, move 50 g from box 3 to box 1, completely filling it up. Next, move the remaining 60 g from box 3 to box 2. There are now two boxes which contain sweets after this process, so your output should be 2.
Testcase 2:
One way to consolidate the sweets would be to move the 1 g from box 1 to box 4. However, this is a poor choice, as it results in only one free box and five boxes which still contain sweets. A better decision is to move all the sweets from the other five boxes onto box 1. Now there is only one box which contains sweets. Since this is the optimal strategy, the output should be 1.
|
stdin
| null | 3,072 | 1 |
[
"2\n3\n300 525 110\n350 600 115\n6\n1 200 200 199 200 200\n1000 200 200 200 200 200\n\nSAMPLE\n"
] |
[
"2\n1\n"
] |
[
"2\n3\n300 525 110\n350 600 91\n6\n1 200 200 199 200 200\n1000 200 200 200 200 200\n\nSAMPLE\n",
"2\n3\n300 525 110\n276 600 91\n6\n1 200 200 199 200 126\n1000 200 200 200 200 200\n\nSAMPLE\n",
"2\n3\n300 525 110\n350 600 115\n6\n1 200 353 199 200 200\n1000 200 200 200 200 200\n\nSAMPLE\n",
"2\n3\n300 525 110\n350 600 115\n6\n1 200 353 73 9 200\n0000 291 200 200 200 200\n\nSAMPLE\n",
"2\n3\n300 562 110\n350 1160 91\n6\n1 190 200 199 111 41\n1000 34 200 200 290 200\n\nSAMPLE\n",
"2\n3\n300 525 110\n350 600 115\n6\n1 200 353 73 9 218\n0000 512 200 200 200 200\n\nSAMPLE\n",
"2\n3\n300 525 110\n350 497 115\n6\n1 200 353 73 9 218\n0000 341 200 200 200 200\n\nSAMPLE\n",
"2\n3\n300 525 110\n276 600 91\n6\n1 200 317 199 200 126\n1000 200 200 200 200 200\n\nSAMPLE\n",
"2\n3\n300 562 110\n350 600 91\n6\n1 190 200 199 111 41\n0000 34 301 200 290 200\n\nSAMPLE\n",
"2\n3\n463 522 110\n290 1160 91\n6\n1 534 200 137 111 41\n1000 34 200 200 73 200\n\nSAMPLE\n"
] |
[
"2\n1\n",
"3\n1\n",
"2\n2\n",
"2\n4\n",
"1\n1\n",
"2\n3\n",
"3\n4\n",
"3\n2\n",
"3\n3\n",
"1\n2\n"
] |
CodeContests
|
There are two rectangles whose bases are parallel to the x-axis. Read the lower left coordinates (xa1, ya1) and upper right coordinates (xa2, ya2) of rectangle A, the lower left coordinates (xb1, yb1) and upper right coordinates (xb2, yb2) of rectangle B, and rectangle A and B Create a program that outputs YES if there is any overlap, and NO if there is no overlap at all. However, assume that rectangle A and rectangle B are not the same thing. Also, the things that are in contact are considered to overlap.
<image>
Input
Given multiple datasets. The format of each dataset is as follows.
xa1 ya1 xa2 ya2 xb1 yb1 xb2 yb2
Each value entered is between -2,000 and 2,000, and each value is given as a real number, including up to five digits after the decimal point.
The number of datasets does not exceed 50.
Output
Print YES or NO on one line for each dataset.
Example
Input
0.0 0.0 5.0 5.0 1.0 1.0 4.0 4.0
0.0 0.0 4.0 5.0 1.0 1.0 5.0 5.0
0.0 0.0 4.0 4.0 -3.0 -5.0 2.0 -1.0
Output
YES
YES
NO
|
stdin
| null | 4,039 | 1 |
[
"0.0 0.0 5.0 5.0 1.0 1.0 4.0 4.0\n0.0 0.0 4.0 5.0 1.0 1.0 5.0 5.0\n0.0 0.0 4.0 4.0 -3.0 -5.0 2.0 -1.0\n"
] |
[
"YES\nYES\nNO\n"
] |
[
"0.0 0.0 5.0 5.0 1.0 1.0 4.0 4.0\n0.0 0.0 4.0 5.0 1.0 1.0 5.695359067077419 5.0\n0.0 0.0 4.0 4.0 -3.0 -5.0 2.0 -1.0\n",
"0.0 0.0 5.542490300268185 5.005250109553738 1.0 1.0 4.0 4.559801535852516\n0.7032719994871297 0.0 4.155539313255475 5.0 1.0 1.0 5.695359067077419 5.0\n0.4441139498938872 0.0 4.812863632746219 4.0 -3.0 -5.0 2.0 0.4254459471416223\n",
"7.0493616969608235 8.006138904945727 10.718034672306752 14.60276182485558 11.132223009397546 8.042601599125915 13.403207028157638 10.12670486503786\n8.683116714693657 6.847759886807999 11.864216516700694 15.413448556883273 10.476290358079543 9.44356095889594 14.935471127866503 13.962324774420397\n7.629237059123647 6.026433387150715 13.937178864356273 15.682587645206752 2.066873797826299 3.8211570125711156 8.140221018060066 12.900663326968697\n",
"11.177339342195253 10.11702405503145 14.852767437163623 16.760471469567687 14.12605627016073 14.966312645460068 15.163942648921708 12.710027569013468\n11.582075996626495 9.801358473479237 13.7431808947702 16.481804425253983 14.036843475377227 10.57678669355482 17.028272453226784 14.98760069751414\n8.595407646580929 7.605253432679341 18.098291242626054 18.289615711516078 5.661376987181141 7.166978394766285 11.04271271582312 14.823907571829515\n",
"20.317048886769083 17.969958988934604 21.39578146725754 22.30772811869518 21.29352730340307 23.106465544036595 23.74638862354897 23.24672967121002\n21.16832969366463 17.525686635772548 18.909676662117526 25.818008984330465 22.98637511446833 18.545061810008438 24.395983659120684 23.24237109891621\n14.27004490833777 17.3661135980298 26.851370241531505 29.235243802232667 15.429809743467088 10.821066415482441 20.260726892971824 19.842244495682426\n",
"0.0 0.0 5.0 5.0 1.0 1.0 4.0 4.0\n0.0 0.0 4.0 5.0 1.0 1.0 5.695359067077419 5.0\n0.0 0.0 4.812863632746219 4.0 -3.0 -5.0 2.0 -1.0\n",
"0.0 0.0 5.0 5.005250109553738 1.0 1.0 4.0 4.0\n0.0 0.0 4.0 5.0 1.0 1.0 5.695359067077419 5.0\n0.0 0.0 4.812863632746219 4.0 -3.0 -5.0 2.0 -1.0\n",
"0.0 0.0 5.542490300268185 5.005250109553738 1.0 1.0 4.0 4.0\n0.0 0.0 4.0 5.0 1.0 1.0 5.695359067077419 5.0\n0.0 0.0 4.812863632746219 4.0 -3.0 -5.0 2.0 -1.0\n",
"0.0 0.0 5.542490300268185 5.005250109553738 1.0 1.0 4.0 4.0\n0.0 0.0 4.155539313255475 5.0 1.0 1.0 5.695359067077419 5.0\n0.0 0.0 4.812863632746219 4.0 -3.0 -5.0 2.0 -1.0\n",
"0.0 0.0 5.542490300268185 5.005250109553738 1.0 1.0 4.0 4.559801535852516\n0.0 0.0 4.155539313255475 5.0 1.0 1.0 5.695359067077419 5.0\n0.0 0.0 4.812863632746219 4.0 -3.0 -5.0 2.0 -1.0\n"
] |
[
"YES\nYES\nNO\n",
"YES\nYES\nYES\n",
"NO\nYES\nYES\n",
"YES\nNO\nYES\n",
"NO\nNO\nYES\n",
"YES\nYES\nNO\n",
"YES\nYES\nNO\n",
"YES\nYES\nNO\n",
"YES\nYES\nNO\n",
"YES\nYES\nNO\n"
] |
CodeContests
|
Ambiguous Encoding
A friend of yours is designing an encoding scheme of a set of characters into a set of variable length bit sequences. You are asked to check whether the encoding is ambiguous or not. In an encoding scheme, characters are given distinct bit sequences of possibly different lengths as their codes. A character sequence is encoded into a bit sequence which is the concatenation of the codes of the characters in the string in the order of their appearances. An encoding scheme is said to be ambiguous if there exist two different character sequences encoded into exactly the same bit sequence. Such a bit sequence is called an “ambiguous binary sequence”.
For example, encoding characters “A”, “B”, and “C” to 0, 01 and 10, respectively, is ambiguous. This scheme encodes two different character strings “AC” and “BA” into the same bit sequence 010.
Input
The input consists of a single test case of the following format.
$n$
$w_1$
.
.
.
$w_n$
Here, $n$ is the size of the set of characters to encode ($1 \leq n \leq 1000$). The $i$-th line of the following $n$ lines, $w_i$, gives the bit sequence for the $i$-th character as a non-empty sequence of at most 16 binary digits, 0 or 1. Note that different characters are given different codes, that is, $w_i \ne w_j$ for $i \ne j$.
Output
If the given encoding is ambiguous, print in a line the number of bits in the shortest ambiguous binary sequence. Output zero, otherwise.
Sample Input 1
3
0
01
10
Sample Output 1
3
Sample Input 2
3
00
01
1
Sample Output 2
0
Sample Input 3
3
00
10
1
Sample Output 3
0
Sample Input 4
10
1001
1011
01000
00011
01011
1010
00100
10011
11110
0110
Sample Output 4
13
Sample Input 5
3
1101
1
10
Sample Output 5
4
Example
Input
3
0
01
10
Output
3
|
stdin
| null | 780 | 1 |
[
"3\n0\n01\n10\n"
] |
[
"3\n"
] |
[
"3\n1\n01\n10\n",
"3\n0\n1\n10\n",
"3\n0\n-1\n10\n",
"3\n-1\n0\n10\n",
"3\n-1\n0\n14\n",
"3\n0\n01\n11\n",
"3\n-1\n0\n16\n",
"3\n-1\n01\n10\n",
"3\n1\n0\n10\n",
"3\n-1\n01\n12\n"
] |
[
"3\n",
"2\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"2\n",
"0\n"
] |
CodeContests
|
There is a board of m × n squares. The squares of i rows and j columns are represented by (i, j) (0 ≤ i <m, 0 ≤ j <n).
When the rabbit is at (x, y), it can jump to ((x + a) mod m, (y + b) mod n) or ((x + c) mod m, (y + d) mod n) it can.
Now the rabbit is at (0, 0). If you can't go back to the square that once jumped, how many times can the rabbit jump?
Input
Input is given with m, n, a, b, c, d separated by spaces on one line. 1 ≤ m, n, a, b, c, d ≤ 100 000
Output
Output the maximum number of times the rabbit can jump in one line.
Example
Input
6 6 2 2 2 4
Output
8
|
stdin
| null | 3,890 | 1 |
[
"6 6 2 2 2 4\n"
] |
[
"8\n"
] |
[
"2 6 2 2 2 4\n",
"3 6 2 2 2 4\n",
"4 6 2 2 2 8\n",
"4 2 2 2 2 8\n",
"4 2 1 2 2 8\n",
"1 2 1 2 3 8\n",
"1 5 2 0 4 2\n",
"3 6 2 2 2 7\n",
"3 7 2 2 2 4\n",
"4 3 0 2 1 8\n"
] |
[
"2\n",
"8\n",
"5\n",
"1\n",
"3\n",
"0\n",
"4\n",
"17\n",
"20\n",
"11\n"
] |
CodeContests
|
We have N weights indexed 1 to N. The mass of the weight indexed i is W_i.
We will divide these weights into two groups: the weights with indices not greater than T, and those with indices greater than T, for some integer 1 \leq T < N. Let S_1 be the sum of the masses of the weights in the former group, and S_2 be the sum of the masses of the weights in the latter group.
Consider all possible such divisions and find the minimum possible absolute difference of S_1 and S_2.
Constraints
* 2 \leq N \leq 100
* 1 \leq W_i \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
W_1 W_2 ... W_{N-1} W_N
Output
Print the minimum possible absolute difference of S_1 and S_2.
Examples
Input
3
1 2 3
Output
0
Input
4
1 3 1 1
Output
2
Input
8
27 23 76 2 3 5 62 52
Output
2
|
stdin
| null | 1,166 | 1 |
[
"3\n1 2 3\n",
"4\n1 3 1 1\n",
"8\n27 23 76 2 3 5 62 52\n"
] |
[
"0\n",
"2\n",
"2\n"
] |
[
"3\n1 2 2\n",
"4\n2 3 1 1\n",
"8\n27 23 76 2 3 5 62 14\n",
"3\n1 1 2\n",
"4\n2 3 1 0\n",
"8\n27 30 76 2 3 5 62 14\n",
"8\n27 30 76 2 3 5 62 5\n",
"8\n27 30 76 2 3 2 62 5\n",
"8\n27 30 76 2 3 2 102 5\n",
"8\n27 30 99 2 3 2 102 5\n"
] |
[
"1\n",
"3\n",
"40\n",
"0\n",
"2\n",
"47\n",
"56\n",
"59\n",
"19\n",
"42\n"
] |
CodeContests
|
Given 'n', print the symbol 'Z' spanning n rows using '*' symbol.
Value of n>2 and n ≤ 20.
Example:
1) Input : n=3
Output:
***
*
***
2) Input n=4
Output:
****
*
*
****
SAMPLE INPUT
5
SAMPLE OUTPUT
*****
*
*
*
*****
Explanation
The 'Z' is printed across 5 lines as shown above.
|
stdin
| null | 3,032 | 1 |
[] |
[] |
[
"3\n",
"2\n",
"4\n",
"13\n",
"14\n",
"11\n",
"5\n",
"6\n",
"12\n",
"10\n"
] |
[
"***\n *\n***\n",
"**\n**\n",
"****\n *\n *\n****\n",
"*************\n *\n *\n *\n *\n *\n *\n *\n *\n *\n *\n *\n*************\n",
"**************\n *\n *\n *\n *\n *\n *\n *\n *\n *\n *\n *\n *\n**************\n",
"***********\n *\n *\n *\n *\n *\n *\n *\n *\n *\n***********\n",
"*****\n *\n *\n *\n*****\n",
"******\n *\n *\n *\n *\n******\n",
"************\n *\n *\n *\n *\n *\n *\n *\n *\n *\n *\n************\n",
"**********\n *\n *\n *\n *\n *\n *\n *\n *\n**********\n"
] |
CodeContests
|
Given are N positive integers A_1,...,A_N.
Consider positive integers B_1, ..., B_N that satisfy the following condition.
Condition: For any i, j such that 1 \leq i < j \leq N, A_i B_i = A_j B_j holds.
Find the minimum possible value of B_1 + ... + B_N for such B_1,...,B_N.
Since the answer can be enormous, print the sum modulo (10^9 +7).
Constraints
* 1 \leq N \leq 10^4
* 1 \leq A_i \leq 10^6
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 ... A_N
Output
Print the minimum possible value of B_1 + ... + B_N for B_1,...,B_N that satisfy the condition, modulo (10^9 +7).
Examples
Input
3
2 3 4
Output
13
Input
5
12 12 12 12 12
Output
5
Input
3
1000000 999999 999998
Output
996989508
|
stdin
| null | 2,879 | 1 |
[
"3\n2 3 4\n",
"3\n1000000 999999 999998\n",
"5\n12 12 12 12 12\n"
] |
[
"13\n",
"996989508\n",
"5\n"
] |
[
"3\n2 3 2\n",
"3\n1000000 999999 1014329\n",
"5\n11 12 12 12 12\n",
"3\n2 6 2\n",
"3\n1000000 999999 1246389\n",
"5\n11 17 12 12 12\n",
"3\n1 6 2\n",
"3\n1000000 1225154 1246389\n",
"5\n11 17 14 12 12\n",
"3\n1001000 1225154 1246389\n"
] |
[
"8\n",
"655964475\n",
"56\n",
"7\n",
"258576389\n",
"897\n",
"10\n",
"280720460\n",
"6092\n",
"788070284\n"
] |
CodeContests
|
Given a character C, print the ASCII value of that character.
Input:
First and only line in input contains a character C.
Output:
Print the ASCII value of the character C.
Constraints:
C ∈ ASCII characters
SAMPLE INPUT
b
SAMPLE OUTPUT
98
|
stdin
| null | 2,669 | 1 |
[
"b\n\nSAMPLE\n"
] |
[
"98\n"
] |
[
"3\n",
"b\n\nELPMAS\n",
"1\n",
"0\n",
"2\n",
"c\n\nTAMQLE\n",
"d\n\nTAMQKE\n",
"a\n\nV?EPJN\n",
"8\n",
"6\n"
] |
[
"51\n",
"98\n",
"49\n",
"48\n",
"50\n",
"99\n",
"100\n",
"97\n",
"56\n",
"54\n"
] |
CodeContests
|
E --Disappear Drive
Story
The person in D likes basketball, but he likes shooting, so other techniques are crazy. I'm not particularly good at dribbling, and when I enter the opponent's defensive range, I always get the ball stolen. So I decided to come up with a deadly dribble that would surely pull out any opponent. After some effort, he finally completed the disappearing drive, "Disapia Drive".
This Apia Drive creates a gap by provoking the opponent to deprive him of his concentration and take his eyes off, and in that gap he goes beyond the wall of dimension and slips through the opponent's defensive range. It's a drive. However, crossing the dimensional wall puts a heavy burden on the body, so there is a limit to the number of times the dimensional wall can be crossed. Also, because he always uses his concentration, he can only change direction once, including normal movements. How do you move on the court to reach the goal in the shortest time without being robbed of the ball?
Problem
Consider a rectangle on a two-dimensional plane with (0,0) at the bottom left and (50,94) at the top right. In addition, there are N circles on this plane, the center position of the i-th circle is (x_i, y_i), and the radius is r_i. There is no overlap between the circles.
Let (25,0) be the point S and (25,94) be the point G, and consider the route from S to G. A "path" consists of (1) a line segment connecting S and G, or (2) a combination of a line segment SP and a line segment GP at any point P inside a rectangle. In the middle of the route from S to G, the period from entering the inside of a circle to exiting the inside of the circle is defined as "the section passing through the inside of the circle". However, it is assumed that the circumferences of the rectangle and the circle are not included in the rectangle and the circle, respectively.
Find the length of the shortest route among the routes where the number of sections passing through the inside of the circle is D or less. If you can't reach the goal, return -1.
Input
The input consists of the following format.
N D
x_1 y_1 r_1
...
x_N y_N r_N
The first line consists of two integers, and the number N of circles and the number of times D that can pass inside the circle are given, separated by one blank character. The following N lines are given circle information. The i + 1 line (1 \ leq i \ leq N) consists of three integers, and the x-coordinate x_i, y-coordinate y_i, and radius r_i of the center of the i-th circle are given by separating them with one blank character.
Constraints:
* 0 \ leq N \ leq 5
* 0 \ leq D \ leq 5
* 0 \ leq x_i \ leq 50
* 0 \ leq y_i \ leq 94
* 1 \ leq r_i \ leq 100
* It can be assumed that any two circles are separated by 10 ^ {-5} or more.
* It can be assumed that S and G are not included inside any circle.
* It can be assumed that S and G are separated from any circle by 10 ^ {-5} or more.
* It can be assumed that the point P in the shortest path is more than 10 ^ {-5} away from the circumference of the rectangle and any circumference.
Output
Output the length of the shortest path on one line. Be sure to start a new line at the end of the line. However, if you cannot reach the goal, return -1. Absolute error or relative error of 10 ^ {-7} or less is allowed for the correct answer.
Sample Input 1
Ten
25 47 10
Sample Output 1
96.2027355887
DisappearDrive_sample1.png
The detour route is the shortest because it cannot disappear.
Sample Input 2
1 1
25 47 10
Sample Output 2
94.0000000000
DisappearDrive_sample2.png
It can disappear, so you just have to go straight through it.
Sample Input 3
Ten
20 47 5
Sample Output 3
94.0000000000
DisappearDrive_sample3.png
Since the circumference is not included in the circle, it can pass through without disappearing.
Sample Input 4
Ten
25 47 40
Sample Output 4
-1
DisappearDrive_sample4.png
You can't reach the goal because you can't disappear or detour.
Sample Input 5
5 2
11 10 16
33 40 18
20 66 10
45 79 14
22 85 8
Sample Output 5
96.1320937224
DisappearDrive_sample5.png
Example
Input
1 0
25 47 10
Output
96.2027355887
|
stdin
| null | 116 | 1 |
[
"1 0\n25 47 10\n"
] |
[
"96.2027355887\n"
] |
[
"1 0\n25 47 15\n",
"1 0\n16 47 15\n",
"1 0\n31 47 15\n",
"2 0\n31 47 13\n",
"2 0\n31 47 20\n",
"2 0\n31 47 33\n",
"1 0\n25 38 10\n",
"1 0\n25 61 15\n",
"1 0\n16 57 15\n",
"1 0\n31 18 15\n"
] |
[
"99.1870280443\n",
"94.7953395097\n",
"95.8187519452\n",
"95.0813557707\n",
"98.6668879893\n",
"-1\n",
"96.2941415245\n",
"99.8182813500\n",
"94.8376214886\n",
"97.4735835080\n"
] |
CodeContests
|
Takahashi became a pastry chef and opened a shop La Confiserie d'ABC to celebrate AtCoder Beginner Contest 100.
The shop sells N kinds of cakes.
Each kind of cake has three parameters "beauty", "tastiness" and "popularity". The i-th kind of cake has the beauty of x_i, the tastiness of y_i and the popularity of z_i.
These values may be zero or negative.
Ringo has decided to have M pieces of cakes here. He will choose the set of cakes as follows:
* Do not have two or more pieces of the same kind of cake.
* Under the condition above, choose the set of cakes to maximize (the absolute value of the total beauty) + (the absolute value of the total tastiness) + (the absolute value of the total popularity).
Find the maximum possible value of (the absolute value of the total beauty) + (the absolute value of the total tastiness) + (the absolute value of the total popularity) for the set of cakes that Ringo chooses.
Constraints
* N is an integer between 1 and 1 \ 000 (inclusive).
* M is an integer between 0 and N (inclusive).
* x_i, y_i, z_i \ (1 \leq i \leq N) are integers between -10 \ 000 \ 000 \ 000 and 10 \ 000 \ 000 \ 000 (inclusive).
Input
Input is given from Standard Input in the following format:
N M
x_1 y_1 z_1
x_2 y_2 z_2
: :
x_N y_N z_N
Output
Print the maximum possible value of (the absolute value of the total beauty) + (the absolute value of the total tastiness) + (the absolute value of the total popularity) for the set of cakes that Ringo chooses.
Examples
Input
5 3
3 1 4
1 5 9
2 6 5
3 5 8
9 7 9
Output
56
Input
5 3
1 -2 3
-4 5 -6
7 -8 -9
-10 11 -12
13 -14 15
Output
54
Input
10 5
10 -80 21
23 8 38
-94 28 11
-26 -2 18
-69 72 79
-26 -86 -54
-72 -50 59
21 65 -32
40 -94 87
-62 18 82
Output
638
Input
3 2
2000000000 -9000000000 4000000000
7000000000 -5000000000 3000000000
6000000000 -1000000000 8000000000
Output
30000000000
|
stdin
| null | 2,441 | 1 |
[
"5 3\n1 -2 3\n-4 5 -6\n7 -8 -9\n-10 11 -12\n13 -14 15\n",
"10 5\n10 -80 21\n23 8 38\n-94 28 11\n-26 -2 18\n-69 72 79\n-26 -86 -54\n-72 -50 59\n21 65 -32\n40 -94 87\n-62 18 82\n",
"5 3\n3 1 4\n1 5 9\n2 6 5\n3 5 8\n9 7 9\n",
"3 2\n2000000000 -9000000000 4000000000\n7000000000 -5000000000 3000000000\n6000000000 -1000000000 8000000000\n"
] |
[
"54\n",
"638\n",
"56\n",
"30000000000\n"
] |
[
"5 3\n1 -2 3\n-4 5 -6\n7 -8 -9\n-10 19 -12\n13 -14 15\n",
"10 5\n10 -80 21\n23 8 38\n-94 28 11\n-26 -2 18\n-69 72 79\n-26 -86 -54\n-72 -50 48\n21 65 -32\n40 -94 87\n-62 18 82\n",
"5 3\n1 -2 3\n-4 5 -6\n7 -8 -16\n-10 19 -12\n13 -14 15\n",
"5 5\n1 -2 3\n-4 5 -6\n7 -8 -16\n-10 19 -12\n13 -14 15\n",
"10 5\n10 -80 21\n23 8 10\n-94 28 11\n-26 -2 18\n-69 72 79\n-26 -86 -54\n-89 -50 48\n21 65 -32\n40 -94 87\n-62 18 82\n",
"5 3\n3 0 4\n1 5 18\n2 6 5\n3 5 8\n7 7 9\n",
"5 5\n1 -2 3\n-4 5 -6\n7 -8 -16\n-10 19 -12\n13 -3 15\n",
"10 5\n10 -80 21\n23 8 10\n-94 28 11\n-26 -2 18\n-69 72 79\n-26 -86 -54\n-89 -8 48\n21 65 -32\n40 -94 87\n-62 18 82\n",
"5 3\n3 0 4\n1 5 18\n2 6 5\n3 5 4\n7 7 9\n",
"5 5\n1 -2 4\n-4 5 -6\n7 -8 -16\n-10 19 -12\n13 -3 15\n"
] |
[
"54\n",
"627\n",
"57\n",
"23\n",
"644\n",
"63\n",
"34\n",
"686\n",
"60\n",
"33\n"
] |
CodeContests
|
Example
Input
5 3
4
2
5
Output
5
2
4
1
3
|
stdin
| null | 2,815 | 1 |
[
"5 3\n4\n2\n5\n"
] |
[
"5\n2\n4\n1\n3\n"
] |
[
"5 0\n4\n2\n5\n",
"2 0\n4\n2\n6\n",
"5 3\n5\n2\n5\n",
"3 0\n4\n0\n6\n",
"7 0\n3\n0\n6\n",
"9 0\n3\n0\n6\n",
"9 1\n4\n0\n6\n",
"1 0\n10\n0\n0\n",
"10 1\n4\n0\n6\n",
"10 1\n8\n0\n6\n"
] |
[
"1\n2\n3\n4\n5\n",
"1\n2\n",
"5\n2\n1\n3\n4\n",
"1\n2\n3\n",
"1\n2\n3\n4\n5\n6\n7\n",
"1\n2\n3\n4\n5\n6\n7\n8\n9\n",
"4\n1\n2\n3\n5\n6\n7\n8\n9\n",
"1\n",
"4\n1\n2\n3\n5\n6\n7\n8\n9\n10\n",
"8\n1\n2\n3\n4\n5\n6\n7\n9\n10\n"
] |
CodeContests
|
Given N space separated integers. Your task is to arrange them such that the summation M of the absolute differences between every two adjacent numbers is maximum.
Input:
First line of the input contains an integer N.
Second line contains N space separated integers A_i.
Output:
Print the above described M.
Constraints:
1 ≤ N ≤ 1000.
1 ≤ A_i ≤ 10^{5}.
SAMPLE INPUT
3
1 2 7
SAMPLE OUTPUT
11
Explanation
One of the best arrangements is (1,7,2), M = |1 - 7| + |7 - 2| = 11
|
stdin
| null | 3,705 | 1 |
[
"3\n1 2 7\n\nSAMPLE\n"
] |
[
"11\n"
] |
[
"504\n10905 17006 12109 32008 643 25345 30694 14989 16713 2289 1682 5967 29164 32392 31370 31608 19071 5601 16516 14258 21653 32661 7885 12522 31222 29848 18328 31060 18838 14173 26006 31408 2247 12353 22214 5579 25773 10534 2447 23368 22514 27742 12300 16800 6332 19148 15783 31848 8924 19781 25321 22739 12873 5436 31632 17271 16844 12447 8930 23380 25084 25852 25154 13842 31853 13800 11777 14730 22309 10913 9334 11912 27727 5874 17233 28879 27188 27479 1836 24670 28518 20578 10595 30706 22334 4445 28710 11468 10889 6705 17612 31668 2175 3207 1130 18238 7157 12332 16037 27468 28883 17082 22212 10708 15815 27253 15114 21732 30267 20595 9794 23011 14469 9728 8091 4633 27742 6464 11446 31858 9622 32022 27134 17534 7942 10309 32056 15037 25029 20437 5722 8730 27807 24761 29345 30389 28610 7342 5598 4581 28859 32358 11793 20350 27297 10470 21816 6223 16016 26157 9577 30191 2137 30998 21279 5050 11128 18047 16850 20758 11335 6571 18122 18683 10609 2021 3636 29362 2472 14182 22134 16348 12699 3449 30144 23479 22050 2013 24035 28573 16060 17771 4711 4301 3132 504 17623 15214 22463 2429 2912 32465 15841 26230 26011 16119 10801 20359 934 12115 30434 6245 889 27344 13507 10740 6263 19734 12145 17837 20804 28937 458 6211 28631 30867 20134 24454 2000 420 29122 10119 22283 27767 15613 25341 3189 22294 5575 25319 28958 29216 1750 29043 10128 4810 6682 5151 30048 9764 3828 14622 19202 27038 16547 21501 32225 3274 20735 11654 26799 8291 27497 27365 26106 30351 13314 4105 22785 22625 14107 333 14533 13474 27885 18520 20835 11217 9610 8257 12192 7528 28948 3319 27334 6753 22573 481 16559 24825 30894 23489 14367 17844 23196 12766 15703 11681 4440 16994 27878 32223 32021 32257 195 9312 16527 30427 5017 7661 16123 13988 11874 7530 13881 16386 21559 14428 18769 16182 102 15528 3869 11775 19142 5021 31043 28347 9799 22069 10087 8912 28109 30360 31390 16458 13119 8930 32037 10950 1242 17702 29267 21390 7372 17587 8908 9477 12030 27798 14584 15686 18737 7008 16819 15368 31052 8233 9542 10181 11764 26836 11414 11803 1374 26005 26268 17266 32353 17841 533 26079 16336 29061 28539 1864 27142 26058 24371 25289 9922 21527 28680 16727 27446 11431 8664 29091 8282 30045 24717 30529 9606 4613 15183 13578 24896 25053 7161 5823 21587 22100 4809 32239 25377 26385 2651 30234 18745 1847 30680 29718 27436 32744 23403 9394 31389 21512 9460 3738 8344 4419 20737 2938 8741 12881 20986 23654 13084 30328 6555 23930 27450 21075 22183 7357 4469 24019 15067 22603 12685 25475 23841 10164 13977 29968 3079 21663 20367 10504 9327 9907 24237 26082 16520 9911 31991 24127 21245 7415 12441 8815 620 20202 15681 27447 22809 16403 29045 465 7396 31269 24105 26933 25464 8298 11409 11415 14022 21093 1588 30513 23986 8631 17218 22850 7435 7999 21287 24151 1217 17285 4960 22729 7506 13913 2189 1671 2438 14775 11720 29461 28764 15342 20022 15061 17220 21761 7387 4998 13454 13134 32435 15882\n",
"1000\n29219 15213 15102 17772 30835 24411 1499 12065 4526 28888 6424 142 21815 29453 20297 15819 15190 12146 29975 17831 6445 4591 17627 12012 6381 4162 16492 2788 585 8352 23860 12571 26411 927 13962 30823 2214 25939 14908 294 2093 6583 874 29895 14594 30799 22427 24204 9712 6924 31242 397 7997 1136 18753 20481 25819 28914 23273 26553 16606 22436 2529 14317 9779 24083 10893 13371 10126 17263 22897 14573 23204 1772 6142 1147 31643 19815 11179 27216 25790 19021 29512 8913 11894 12217 9871 23708 2933 27100 13309 29453 13621 10658 12512 28167 31905 658 4016 12017 21266 8183 4258 28414 24444 21821 8315 29362 29674 3485 6562 5794 30503 24317 7034 6523 5822 17425 27630 18245 21797 16839 5966 27113 18486 31714 16985 8945 7134 31972 25243 4752 11545 13618 20729 28642 20766 30067 27274 30324 7382 26681 13224 19719 16531 20195 12615 18833 19455 1474 27782 13957 28243 4986 21636 32084 1737 18347 29301 23092 6483 11473 9205 32032 31629 20841 20379 15392 19952 11350 18386 15050 5449 8322 20452 11017 2154 25544 30552 2845 26144 19730 16254 1251 26469 19902 16200 21079 8662 6727 14683 19287 28263 17953 22630 170 10325 22244 1459 2112 22620 4781 3580 24251 8235 3521 2175 559 31253 15220 13396 10790 8457 1610 16383 16616 13508 13147 12098 505 28229 5372 21301 25058 30849 20635 2200 9012 16729 15339 12391 15563 22217 5442 5807 30032 9314 6975 15265 22529 9466 18351 13028 26293 23714 12721 3376 11546 11992 23321 25 6466 25854 27923 16424 15710 30987 10249 16688 24265 30849 2758 20703 30280 5023 29915 16276 1424 11479 18497 2928 26120 31874 20033 16816 29905 7379 25489 2618 16388 4617 12224 4469 6458 8937 27603 17502 12626 5484 31793 4825 8558 9141 25020 11332 1343 15685 17985 27218 2691 26738 10258 24087 6603 22549 26865 13151 31874 2436 17456 24132 9259 32448 28695 18176 30442 26863 28294 26623 17734 22284 20699 4665 19757 15581 29462 19390 28216 26149 29244 31890 29489 10780 25081 23996 5331 29468 1416 24218 6608 28317 4056 29815 14361 31075 12007 2143 7001 7158 26226 30514 13506 11091 32209 22520 14349 25057 1309 31860 27068 1190 13715 24572 8867 26811 12605 30856 11430 27901 26063 7688 23748 15366 5839 31739 3669 27228 21240 16701 25487 17639 22753 544 28495 25513 11994 191 11287 21673 29206 20367 25682 29488 8464 567 28640 16184 25895 24738 27342 18722 8075 20562 18789 1447 15709 26615 28007 7697 5906 24896 8341 4267 24345 23793 6260 13686 25533 11574 26449 31517 10316 6710 32387 28715 6521 21740 9712 27772 24831 3122 3283 28401 7303 22559 22460 872 31692 28563 20440 17644 2557 23568 6002 20520 9827 8140 1978 14882 28739 516 7109 24358 10758 30098 3286 7679 22423 19906 988 21358 7181 13666 1083 10708 6794 7192 29647 4402 24162 3577 25646 29523 3712 10582 302 30792 28678 9945 18600 28437 31796 10193 28539 11946 3467 16075 6099 789 26674 26210 15531 31477 8600 23128 30352 10546 11099 1765 32168 12011 1385 590 3316 8624 23397 17594 2770 8690 4428 4674 6854 13751 856 19271 31865 15250 32036 5896 23554 2515 11282 7283 30565 3579 4330 15676 15705 115 13507 1837 18767 125 9511 20413 24751 11370 31602 11747 21861 2044 29563 17964 29084 21361 21878 7436 20681 31687 14105 25457 18924 162 22526 29086 20243 23399 7497 25655 26143 9982 28810 3992 7882 19918 1509 15723 10729 21481 19824 26746 30191 4483 5084 27329 29875 29097 5720 20936 28275 2352 3506 19760 1560 6635 29887 27531 21179 22049 3582 6513 12905 30781 27768 5840 14883 712 1002 22147 26409 15509 1062 31782 30073 15675 951 27689 32658 7624 15812 8740 19325 8628 26423 16746 26894 27668 24349 5089 1384 5392 15952 27409 6079 13207 2644 6010 19298 12114 3968 27179 19192 28374 9822 29840 20745 13853 26708 31372 8641 18743 6019 19143 20977 10045 15855 29002 32599 29063 18400 30793 24095 21278 7561 11071 16297 31860 32744 4161 30349 1875 11501 2955 15325 22292 3806 24928 31146 18705 31482 2577 7881 18781 17245 3163 24534 8114 8227 20981 2426 2218 13264 10858 18410 28466 12016 28709 1968 23100 22266 970 21422 25269 29818 4557 21600 17847 27759 22077 21601 26367 2290 21216 28209 22433 13593 11141 18229 13562 12315 7318 31743 29671 31669 16365 8656 27700 2508 5096 347 14424 27987 30912 28364 15711 4719 6166 25353 28455 16857 27343 14904 9423 29573 20770 15233 4461 13441 28911 19989 13567 9247 20051 32623 22949 19542 21113 16090 28941 22886 13491 29235 26158 29883 31177 18416 14137 18196 32145 27233 27596 26084 15039 30774 15209 12280 17663 26178 30760 23899 10561 11902 4520 18039 10324 28753 17483 9852 32695 26126 18595 23814 13484 21439 5927 29434 5517 21281 5163 26288 25955 8431 14351 856 26037 20323 1974 18326 12958 507 28985 8048 9506 5753 24797 30058 12226 24365 8771 24303 26958 21110 25055 26611 14843 21383 25259 16855 24246 30823 15389 22925 14007 28987 13398 6396 3928 29896 2716 22438 25128 22068 17930 16008 14651 10252 23686 9025 11717 4236 17908 7799 13543 13082 20393 24951 11977 21267 17443 3867 27625 5066 15095 7153 7347 31182 9482 31129 24401 4460 26884 4463 24516 24181 9218 21099 15924 31042 25228 22085 12164 31988 26054 25052 3114 11008 18666 17624 16702 26604 6901 23694 22480 30035 16545 15909 1663 3375 12948 19447 327 16984 27607 14906 31643 19015 7305 18144 4276 5152 29909 10427 1576 20720 7201 31205 7358 20786 10376 8543 25473 23449 10891 32760 16659 24841 8451 25713 10052 12774 26970 2782 9443 6290 32763 11087 18901 32049 9479 23472 4451 30384 14666 18670 18136 27909 26477 2908 6220 12472 28013 6740 19387 11170 6732 8993 19034 3829 21510 18204 30250 8828 14790 1302 32205 6436 13914 20982 8857 3772 5860 9379 9451 4857 31187 31013 19133 26045 10770 3847 13435 18584 14975 26367 29715 2448 30111 17361 6732 11037 30096 12912 11864 19832 30783 23910 17324 15637 17371 12151 8719 19054 12169 2433 13297 20227 9305 4007 12031 927\n",
"3\n1 2 6\n\nSAMPLE\n",
"504\n10905 17006 12109 32008 643 25345 30694 14989 16713 2289 1682 5967 29164 32392 31370 31608 19071 5601 16516 14258 21653 32661 7885 12522 31222 29848 18328 31060 18838 14173 26006 31408 2247 12353 22214 5579 25773 10534 2447 23368 22514 27742 12300 16800 6332 19148 15783 31848 8924 19781 25321 22739 12873 5436 31632 17271 16844 12447 8930 23380 25084 25852 25154 13842 31853 13800 11777 14730 22309 10913 9334 11912 27727 5874 17233 28879 27188 27479 1836 24670 28518 20578 10595 30706 22334 4445 28710 11468 10889 6705 17612 31668 2175 3207 1130 18238 7157 12332 16037 27468 28883 17082 22212 10708 15815 27253 15114 21732 30267 20595 9794 23011 14469 9728 8091 4633 27742 6464 11446 31858 9622 32022 27134 17534 7942 10309 32056 15037 25029 20437 5722 8730 27807 24761 29345 30389 28610 7342 5598 4581 28859 32358 11793 20350 27297 10470 21816 6223 16016 26157 9577 30191 2137 30998 21279 5050 11128 18047 16850 20758 11335 6571 18122 18683 10609 2021 3636 29362 2472 14182 22134 16348 12699 3449 30144 23479 22050 2013 24035 28573 16060 17771 4711 4301 1622 504 17623 15214 22463 2429 2912 32465 15841 26230 26011 16119 10801 20359 934 12115 30434 6245 889 27344 13507 10740 6263 19734 12145 17837 20804 28937 458 6211 28631 30867 20134 24454 2000 420 29122 10119 22283 27767 15613 25341 3189 22294 5575 25319 28958 29216 1750 29043 10128 4810 6682 5151 30048 9764 3828 14622 19202 27038 16547 21501 32225 3274 20735 11654 26799 8291 27497 27365 26106 30351 13314 4105 22785 22625 14107 333 14533 13474 27885 18520 20835 11217 9610 8257 12192 7528 28948 3319 27334 6753 22573 481 16559 24825 30894 23489 14367 17844 23196 12766 15703 11681 4440 16994 27878 32223 32021 32257 195 9312 16527 30427 5017 7661 16123 13988 11874 7530 13881 16386 21559 14428 18769 16182 102 15528 3869 11775 19142 5021 31043 28347 9799 22069 10087 8912 28109 30360 31390 16458 13119 8930 32037 10950 1242 17702 29267 21390 7372 17587 8908 9477 12030 27798 14584 15686 18737 7008 16819 15368 31052 8233 9542 10181 11764 26836 11414 11803 1374 26005 26268 17266 32353 17841 533 26079 16336 29061 28539 1864 27142 26058 24371 25289 9922 21527 28680 16727 27446 11431 8664 29091 8282 30045 24717 30529 9606 4613 15183 13578 24896 25053 7161 5823 21587 22100 4809 32239 25377 26385 2651 30234 18745 1847 30680 29718 27436 32744 23403 9394 31389 21512 9460 3738 8344 4419 20737 2938 8741 12881 20986 23654 13084 30328 6555 23930 27450 21075 22183 7357 4469 24019 15067 22603 12685 25475 23841 10164 13977 29968 3079 21663 20367 10504 9327 9907 24237 26082 16520 9911 31991 24127 21245 7415 12441 8815 620 20202 15681 27447 22809 16403 29045 465 7396 31269 24105 26933 25464 8298 11409 11415 14022 21093 1588 30513 23986 8631 17218 22850 7435 7999 21287 24151 1217 17285 4960 22729 7506 13913 2189 1671 2438 14775 11720 29461 28764 15342 20022 15061 17220 21761 7387 4998 13454 13134 32435 15882\n",
"3\n2 2 6\n\nSAMPLE\n",
"504\n10905 17006 12109 32008 643 25345 30694 14989 16713 2289 1682 5967 29164 32392 31370 31608 19071 5601 16516 14258 21653 32661 7885 12522 31222 29848 18328 31060 18838 14173 26006 31408 2247 12353 22214 5579 25773 10534 2447 23368 22514 27742 12300 16800 6332 19148 15783 31848 8924 19781 25321 22739 12873 5436 31632 17271 16844 12447 8930 23380 25084 25852 25154 13842 31853 13800 11777 14730 22309 10913 9334 11912 27727 5874 17233 28879 27188 27479 1836 24670 28518 20578 10595 30706 22334 4445 28710 11468 10889 6705 17612 31668 2175 3207 1130 18238 7157 12332 16037 27468 28883 17082 22212 10708 15815 27253 15114 21732 30267 20595 9794 23011 14469 9728 8091 4633 27742 6464 11446 31858 9622 32022 27134 17534 7942 10309 32056 15037 25029 20437 5722 8730 27807 24761 29345 30389 28610 7342 5598 4581 28859 32358 11793 20350 27297 10470 21816 6223 16016 26157 9577 30191 2137 30998 21279 5050 11128 18047 16850 20758 11335 6571 18122 18683 10609 2021 3636 29362 2472 14182 22134 16348 12699 3449 30144 23479 22050 2013 24035 28573 16060 17771 4711 4301 1622 504 17623 15214 22463 2429 2912 32465 15841 26230 26011 16119 10801 20359 934 12115 30434 6245 889 27344 13507 10740 6263 19734 12145 17837 20804 28937 458 6211 28631 30867 20134 24454 2000 420 29122 10119 22283 27767 15613 25341 3189 22294 5575 25319 28958 29216 1750 29043 10128 4810 6682 5151 30048 9764 3828 14622 19202 27038 16547 21501 32225 3274 20735 11654 26799 8291 27497 27365 26106 30351 13314 4105 22785 22625 14107 333 14533 13474 27885 18520 20835 11217 9610 8257 12192 7528 28948 3319 27334 6753 22573 481 16559 24825 30894 23489 14367 17844 23196 12766 15703 11681 4440 16994 27878 32223 32021 32257 195 9312 16527 30427 5017 7661 16123 13988 11874 7530 13881 16386 21559 14428 18769 16182 102 15528 3869 11775 19142 5021 31043 28347 9799 22069 10087 8912 28109 30360 31390 16458 13119 8930 32037 10950 1242 17702 29267 21390 7372 17587 8908 9477 12030 27798 14584 15686 18737 7008 16819 15368 31052 8233 9542 10181 11764 26836 11414 11803 1374 26005 26268 17266 32353 17841 533 26079 16336 29061 28539 1864 27142 26058 24371 25289 9922 21527 28680 16727 27446 11431 8664 29091 8282 30045 24717 30529 9606 4613 15183 13578 24896 25053 7161 5823 21587 22100 4809 32239 25377 26385 2651 30234 18745 1847 30680 29718 27436 32744 23403 9394 31389 21512 9460 3738 8344 4419 20737 2938 8741 12881 20986 23654 13084 30328 6555 23930 27450 21075 22183 7357 4469 24019 15067 22603 12685 25475 23841 10164 13977 29968 3079 21663 20367 10504 9327 9907 24237 26082 16520 9911 31991 24127 21245 7415 12441 8815 508 20202 15681 27447 22809 16403 29045 465 7396 31269 24105 26933 25464 8298 11409 11415 14022 21093 1588 30513 23986 8631 17218 22850 7435 7999 21287 24151 1217 17285 4960 22729 7506 13913 2189 1671 2438 14775 11720 29461 28764 15342 20022 15061 17220 21761 7387 4998 13454 13134 32435 15882\n",
"3\n2 0 6\n\nSAMPLE\n",
"504\n10905 17006 12109 32008 643 25345 30694 14989 16713 2289 1682 5967 29164 32392 31370 31608 19071 5601 16516 14258 21653 32661 7885 12522 31222 29848 18328 31060 18838 14173 26006 31408 2247 12353 22214 5579 25773 10534 2447 23368 22514 27742 12300 16800 6332 19148 15783 31848 8924 19781 25321 22739 12873 5436 31632 17271 16844 12447 8930 23380 25084 25852 25154 13842 31853 13800 11777 14730 22309 10913 9334 11912 27727 5874 17233 28879 27188 27479 1836 24670 28518 20578 10595 30706 22334 4445 28710 11468 14138 6705 17612 31668 2175 3207 1130 18238 7157 12332 16037 27468 28883 17082 22212 10708 15815 27253 15114 21732 30267 20595 9794 23011 14469 9728 8091 4633 27742 6464 11446 31858 9622 32022 27134 17534 7942 10309 32056 15037 25029 20437 5722 8730 27807 24761 29345 30389 28610 7342 5598 4581 28859 32358 11793 20350 27297 10470 21816 6223 16016 26157 9577 30191 2137 30998 21279 5050 11128 18047 16850 20758 11335 6571 18122 18683 10609 2021 3636 29362 2472 14182 22134 16348 12699 3449 30144 23479 22050 2013 24035 28573 16060 17771 4711 4301 1622 504 17623 15214 22463 2429 2912 32465 15841 26230 26011 16119 10801 20359 934 12115 30434 6245 889 27344 13507 10740 6263 19734 12145 17837 20804 28937 458 6211 28631 30867 20134 24454 2000 420 29122 10119 22283 27767 15613 25341 3189 22294 5575 25319 28958 29216 1750 29043 10128 4810 6682 5151 30048 9764 3828 14622 19202 27038 16547 21501 32225 3274 20735 11654 26799 8291 27497 27365 26106 30351 13314 4105 22785 22625 14107 333 14533 13474 27885 18520 20835 11217 9610 8257 12192 7528 28948 3319 27334 6753 22573 481 16559 24825 30894 23489 14367 17844 23196 12766 15703 11681 4440 16994 27878 32223 32021 32257 195 9312 16527 30427 5017 7661 16123 13988 11874 7530 13881 16386 21559 14428 18769 16182 102 15528 3869 11775 19142 5021 31043 28347 9799 22069 10087 8912 28109 30360 31390 16458 13119 8930 32037 10950 1242 17702 29267 21390 7372 17587 8908 9477 12030 27798 14584 15686 18737 7008 16819 15368 31052 8233 9542 10181 11764 26836 11414 11803 1374 26005 26268 17266 32353 17841 533 26079 16336 29061 28539 1864 27142 26058 24371 25289 9922 21527 28680 16727 27446 11431 8664 29091 8282 30045 24717 30529 9606 4613 15183 13578 24896 25053 7161 5823 21587 22100 4809 32239 25377 26385 2651 30234 18745 1847 30680 29718 27436 32744 23403 9394 31389 21512 9460 3738 8344 4419 20737 2938 8741 12881 20986 23654 13084 30328 6555 23930 27450 21075 22183 7357 4469 24019 15067 22603 12685 25475 23841 10164 13977 29968 3079 21663 20367 10504 9327 9907 24237 26082 16520 9911 31991 24127 21245 7415 12441 8815 508 20202 15681 27447 22809 16403 29045 465 7396 31269 24105 26933 25464 8298 11409 11415 14022 21093 1588 30513 23986 8631 17218 22850 7435 7999 21287 24151 1217 17285 4960 22729 7506 13913 2189 1671 2438 14775 11720 29461 28764 15342 20022 15061 17220 21761 7387 4998 13454 13134 32435 15882\n",
"3\n3 0 8\n\nMEPRAK\n",
"504\n10905 17006 12109 32008 643 25345 30694 14989 16713 2289 1682 5967 29164 32392 31370 31608 19071 5601 16516 14258 21653 32661 7885 12522 31222 29848 18328 31060 18838 14173 26006 31408 2247 12353 22214 5579 25773 10534 2447 23368 22514 27742 12300 16800 6332 19148 15783 31848 8924 19781 25321 22739 12873 5436 31632 17271 16844 12447 8930 23380 25084 25852 25154 13842 31853 13800 11777 14730 22309 10913 9334 11912 27727 5874 17233 28879 27188 27479 1836 24670 28518 20578 10595 30706 22334 4445 28710 11468 10889 6705 17612 31668 2175 3207 1130 18238 7157 12332 16037 27468 28883 17082 22212 10708 15815 27253 15114 21732 30267 20595 9794 23011 14469 9728 8091 4633 27742 6464 11446 31858 9622 32022 27134 17534 7942 10309 32056 15037 25029 20437 5722 8730 27807 24761 29345 30389 28610 7342 5598 4581 28859 32358 11793 20350 27297 10470 21816 6223 16016 26157 9577 30191 2137 30998 21279 5050 11128 18047 16850 20758 11335 6571 18122 18683 10609 2021 3636 29362 2472 14182 22134 16348 12699 3449 30144 23479 22050 2013 24035 28573 16060 17771 4711 4301 3132 504 17623 15214 22463 2429 2912 32465 15841 26230 26011 16119 10801 20359 934 12115 30434 6245 889 27344 13507 10740 6263 19734 12145 17837 20804 28937 458 6211 28631 30867 20134 24454 2000 420 29122 10119 22283 27767 15613 25341 3189 22294 5575 25319 28958 29216 1750 29043 10128 4810 6682 5151 30048 9764 3828 14622 19202 27038 16547 21501 32225 3274 20735 11654 26799 8291 27497 27365 26106 30351 13314 4105 22785 22625 14107 333 14533 13474 27885 18520 20835 11217 9610 8257 12192 7528 28948 3319 27334 6753 22573 481 16559 24825 30894 23489 14367 17844 23196 12766 15703 11681 4440 16994 27878 32223 32021 32257 195 9312 16527 30427 5017 7661 16123 13988 11874 7530 13881 16386 21559 14428 18769 16182 102 15528 3869 11775 19142 5021 31043 28347 9799 22069 10087 8912 28109 30360 31390 16458 13119 8930 32037 10950 1242 17702 29267 21390 7372 17587 8908 9477 12030 27798 14584 15686 18737 7008 16819 15368 31052 8233 9542 10181 11764 26836 11414 11803 1374 26005 26268 17266 32353 17841 533 26079 16336 29061 28539 1864 27142 26058 24371 25289 9922 21527 28680 16727 27446 11431 8664 29091 8282 30045 24717 30529 9606 4613 15183 13578 24896 25053 7161 5823 21587 26111 4809 32239 25377 26385 2651 30234 18745 1847 30680 29718 27436 32744 23403 9394 31389 21512 9460 3738 8344 4419 20737 2938 8741 12881 20986 23654 13084 30328 6555 23930 27450 21075 22183 7357 4469 24019 15067 22603 12685 25475 23841 10164 12260 29968 3079 21663 20367 10504 9327 9907 24237 26082 16520 9911 31991 24127 21245 7415 12441 8815 620 20202 15681 27447 22809 16403 29045 465 7396 31269 24105 26933 25464 8298 11409 11415 14022 21093 1588 30513 23986 8631 17218 22850 7435 7999 21287 24151 1217 17285 4960 22729 7506 13913 2189 1671 2438 14775 11720 29461 28764 15342 20022 15061 17220 21761 7387 4998 13454 13134 32435 15882\n"
] |
[
"8158527\n",
"16768054\n",
"9\n",
"8161547\n",
"8\n",
"8161771\n",
"10\n",
"8155273\n",
"13\n",
"8169983\n"
] |
CodeContests
|
Create a program that reads the attendance numbers of students in a class and the data that stores the ABO blood group and outputs the number of people for each blood type. There are four types of ABO blood types: A, B, AB, and O.
Input
A comma-separated pair of attendance numbers and blood types is given over multiple lines. The attendance number is an integer between 1 and 50, and the blood type is one of the strings "A", "B", "AB" or "O". The number of students does not exceed 50.
Output
Number of people of type A on the first line
Number of people of type B on the second line
Number of people of AB type on the 3rd line
Number of O-shaped people on the 4th line
Is output.
Example
Input
1,B
2,A
3,B
4,AB
5,B
6,O
7,A
8,O
9,AB
10,A
11,A
12,B
13,AB
14,A
Output
5
4
3
2
|
stdin
| null | 2,689 | 1 |
[
"1,B\n2,A\n3,B\n4,AB\n5,B\n6,O\n7,A\n8,O\n9,AB\n10,A\n11,A\n12,B\n13,AB\n14,A\n"
] |
[
"5\n4\n3\n2\n"
] |
[
"1,B\n2,A\n3,B\n4,AB\n5,B\n5,O\n7,A\n8,O\n9,AB\n10,A\n11,A\n12,B\n13,AB\n14,A\n",
"1,B\n2,B\n3,B\n4,AB\n5,B\n6,O\n7,A\n8,O\n9,AB\n10,A\n11,A\n12,B\n13,AB\n14,A\n",
"1,B\n2,A\n3,B\n4,AB\n5,A\n6,O\n7,A\n8,O\n9,AB\n11,A\n11,A\n12,B\n13,AB\n14,A\n",
"1,B\n2,B\n3,B\n4A,B\n5,B\n6,O\n7,A\n8,O\n9,AB\n10,A\n21,A\n12,B\n13,AB\n14,A\n",
"1,B\n2,B\n3,B\n4,AB\n5,B\n6,O\n6,B\n8,O\n9,AB\n10,A\n11,A\n12,B\n13,AB\n14,A\n",
"1,B\n2,B\n3,B\n4,AB\n5,B\n6,O\n6,B\n8,O\n9A,B\n10,A\n11,A\n12,B\n13,AB\n14,A\n",
"1,B\n2,A\n4,B\n4,AB\n5,B\n5,O\n7,A\n7,O\n9A,B\n10,A\n11,A\n12,B\n13,AB\n14,A\n",
"2,B\n2,A\n3,B\n5,AB\n4,B\n6,O\n7,A\n9,O\n9,AB\n10,A\n/1,A\n12,A\n13A,B\n14,A\n",
"1,B\n2,A\n3,B\n5,AB\n5,B\n6,O\n7,A\n8,O\n9,AB\n10,A\n11,A\n12,B\n13,AB\n14,A\n",
"1,B\n2,A\n3,B\n4,AB\n5,B\n6,O\n7,A\n8,O\n8,AB\n10,A\n11,A\n12,B\n13,AB\n14,A\n"
] |
[
"5\n4\n3\n2\n",
"4\n5\n3\n2\n",
"6\n3\n3\n2\n",
"4\n6\n2\n2\n",
"3\n6\n3\n2\n",
"3\n7\n2\n2\n",
"5\n5\n2\n2\n",
"6\n4\n2\n2\n",
"5\n4\n3\n2\n",
"5\n4\n3\n2\n"
] |
CodeContests
|
We conducted a survey on newspaper subscriptions. More specifically, we asked each of the N respondents the following two questions:
* Question 1: Are you subscribing to Newspaper X?
* Question 2: Are you subscribing to Newspaper Y?
As the result, A respondents answered "yes" to Question 1, and B respondents answered "yes" to Question 2.
What are the maximum possible number and the minimum possible number of respondents subscribing to both newspapers X and Y?
Write a program to answer this question.
Constraints
* 1 \leq N \leq 100
* 0 \leq A \leq N
* 0 \leq B \leq N
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N A B
Output
Print the maximum possible number and the minimum possible number of respondents subscribing to both newspapers, in this order, with a space in between.
Examples
Input
10 3 5
Output
3 0
Input
10 7 5
Output
5 2
Input
100 100 100
Output
100 100
|
stdin
| null | 2,723 | 1 |
[
"10 7 5\n",
"100 100 100\n",
"10 3 5\n"
] |
[
"5 2\n",
"100 100\n",
"3 0\n"
] |
[
"10 2 5\n",
"100 100 000\n",
"10 1 5\n",
"101 110 000\n",
"101 110 100\n",
"101 100 100\n",
"100 110 100\n",
"000 110 100\n",
"0 2 1\n",
"000 100 100\n"
] |
[
"2 0\n",
"0 0\n",
"1 0\n",
"0 9\n",
"100 109\n",
"100 99\n",
"100 110\n",
"100 210\n",
"1 3\n",
"100 200\n"
] |
CodeContests
|
You have reached the final level of Hunger Games and as usual a tough task awaits you.
You have a circular dining table and N hungery animals.You need to place them on the table.Each animal has a hunger value.
You can place the animals in any order on the circular table.Once you place them you need to calculate the Danger value of your arrangement.
The danger value of the arrangement is the maximum difference of hunger values of all the adjacent seated animals.You need to keep this danger value as low as possible.
Input:
The first line contains N integers.
The second line contains the hunger values of N animals.
Output:
Print the minimum possible danger value.
Constraints:
3 ≤ N ≤ 1000
1 ≤ Hunger Value ≤ 1000
SAMPLE INPUT
4
5 10 6 8
SAMPLE OUTPUT
4
Explanation
The optimal arrangement is :
5
/ \
6 8
\ /
10
The adjacent pair values are 1 for(6-5),3 for(8-5),4 for(10-6),2 for(10-8).Since danger value is the maximum value so it's 4.
|
stdin
| null | 3,785 | 1 |
[
"4\n5 10 6 8\n\nSAMPLE\n"
] |
[
"4\n"
] |
[
"1000\n667 267 985 404 106 450 714 492 765 767 989 704 824 455 158 619 381 498 363 821 720 755 43 411 668 760 74 233 759 484 836 821 875 195 319 438 863 94 15 629 14 192 460 770 230 375 590 114 988 311 820 623 677 588 489 601 760 118 656 300 387 994 498 2 67 799 918 194 976 181 840 945 80 181 492 528 58 933 541 45 614 243 73 191 419 596 431 533 377 165 757 438 161 450 11 798 602 189 99 759 69 265 101 358 394 399 446 160 484 793 833 293 883 773 106 460 793 357 102 863 832 317 478 64 97 228 438 211 439 982 513 918 518 177 119 335 686 318 641 549 133 507 773 977 324 351 462 62 167 29 910 631 803 797 414 216 428 823 252 552 372 994 830 382 147 940 622 417 51 842 767 428 75 514 999 66 223 695 173 789 53 661 901 886 803 262 250 400 832 85 796 678 488 312 210 255 460 395 209 694 649 915 437 303 599 608 560 838 5 798 65 362 484 189 230 755 409 872 629 816 206 748 823 220 11 298 142 641 945 270 657 565 8 216 102 301 514 699 447 815 159 548 984 196 170 133 527 142 795 827 749 54 199 901 28 194 461 974 834 269 75 645 613 975 952 626 703 478 234 52 220 901 772 945 34 868 40 133 761 32 971 527 602 636 601 520 676 88 494 173 53 330 232 255 670 178 905 833 979 355 233 818 689 6 531 116 112 648 239 484 75 952 776 339 133 314 726 396 743 471 295 463 824 408 553 885 756 977 892 957 919 379 126 271 460 356 654 535 137 738 357 300 486 974 418 441 150 462 565 515 308 990 414 612 426 552 623 280 742 249 999 390 78 622 280 265 853 486 260 336 54 498 203 347 185 19 632 207 412 154 557 675 164 70 4 428 468 969 472 694 140 884 683 260 726 156 745 313 829 477 765 928 63 750 570 977 773 13 60 982 240 157 896 29 670 213 514 686 509 795 118 111 103 617 465 198 695 446 552 279 220 488 184 991 155 712 929 432 953 967 101 685 209 400 453 921 899 469 758 899 206 399 255 29 423 496 927 573 842 883 949 379 33 687 367 636 811 64 967 71 606 662 59 134 688 506 316 975 26 662 618 851 935 236 565 134 67 810 790 721 511 556 632 717 148 858 993 17 606 644 358 605 20 732 534 719 300 259 789 238 172 694 340 526 863 994 943 700 876 230 71 250 373 712 977 516 623 26 343 252 301 222 453 635 122 816 726 497 695 907 392 112 561 551 470 180 950 826 733 885 98 436 385 503 821 63 648 353 151 830 991 966 751 493 588 345 713 402 667 564 310 323 325 347 824 225 918 572 878 739 495 665 388 421 179 562 806 713 685 692 839 919 418 519 69 618 547 575 304 755 222 520 611 842 308 352 537 786 894 895 420 205 236 210 42 487 503 241 769 463 648 813 125 252 632 774 87 380 97 516 208 450 621 165 782 265 974 350 846 620 509 917 307 160 951 271 765 485 236 629 246 40 546 420 697 637 242 565 500 795 921 714 752 608 625 570 102 246 169 223 372 886 635 838 593 397 309 415 365 572 322 782 188 101 65 568 812 122 454 994 957 503 448 599 65 195 131 544 340 444 958 201 846 825 280 362 590 939 503 171 361 222 305 723 179 996 414 667 670 604 77 366 897 145 559 188 218 189 329 863 287 368 390 638 634 220 516 928 867 507 101 115 378 450 329 286 989 239 946 243 110 522 680 25 785 216 118 921 692 878 549 111 760 532 191 236 280 167 15 18 784 675 191 479 215 585 602 965 711 270 763 481 77 860 270 283 644 213 901 821 839 860 413 768 599 607 75 355 201 306 281 542 956 21 77 78 313 498 932 65 468 455 187 613 994 683 614 955 219 254 205 266 418 817 379 889 667 889 432 173 989 358 882 453 559 281 976 385 984 605 191 858 97 628 217 294 622 829 850 827 46 157 468 518 830 669 270 732 853 210 640 289 875 282 754 134 27 349 622 689 483 170 388 584 769 12 836 765 128 453 945 185 684 434 420 962 650 718 974 823 836 723 290 118 731 422 666 11 278 587 897 700 938 234 57 522 674 528 246 923 857 784 699 590 485 755 163 566 327 510 978 123 16 580 190 733 839 899 680 10 792 747 967 714 118 380 103 922 724 23 326 478 257 832 743 34 58 490 91 722 717 436 836 168 891 91 60 790 349 608 766 260 74 275 914 149 967 504 263 998 929 505 708 798 719 148 311 316 267 167 738 405 547 665 699 157 675 498 908 64 589 293 650 393 883 549 265 307 300 351\n",
"369\n202 977 98 752 565 393 730 539 185 681 696 34 67 520 485 775 971 607 996 717 13 950 675 285 219 308 274 903 451 662 922 335 53 282 656 398 288 308 369 947 413 289 216 329 315 146 598 163 821 659 937 573 169 213 588 164 19 408 622 353 401 677 222 106 992 899 422 538 863 512 150 819 338 379 866 592 578 39 814 759 339 67 586 599 942 256 439 823 432 722 73 407 555 803 421 643 635 388 516 5 220 789 608 58 138 543 831 232 592 880 518 141 597 414 384 204 141 848 431 628 244 18 210 362 984 855 800 832 439 124 699 246 813 658 913 264 739 260 935 663 462 850 350 45 44 174 179 571 636 261 145 645 989 183 98 57 287 386 662 491 914 604 371 181 700 145 414 965 751 596 177 920 586 640 509 365 414 633 458 429 436 270 749 98 117 227 904 412 434 149 800 132 485 980 340 347 1000 240 561 850 997 197 894 808 733 369 916 695 357 736 581 816 845 853 666 905 595 508 205 124 992 470 798 425 561 988 820 54 737 208 754 303 53 672 133 681 504 732 819 555 271 315 86 86 1000 24 576 916 303 275 449 968 593 109 799 972 229 484 670 697 695 280 952 402 406 909 815 970 561 90 953 391 238 481 914 135 867 536 720 906 105 128 795 32 701 332 900 837 328 443 384 673 26 962 908 621 530 452 267 651 938 379 78 349 321 76 116 169 552 341 826 348 849 554 740 412 380 137 756 474 380 963 866 464 482 724 630 127 576 196 458 245 497 431 747 965 495 986 449 710 685 663 413 337 527 859 955 53 294 566 584 269 888 258 893 397 879 775 381 17 216 695 228 815 632 654 768 237 258\n",
"4\n5 10 6 1\n\nSAMPLE\n",
"4\n5 1 6 2\n\nSANPLE\n",
"4\n5 10 1 8\n\nSAMPLE\n",
"4\n5 1 10 2\n\nSANPLE\n",
"4\n4 1 6 4\n\nSANPLE\n",
"369\n202 977 98 752 565 393 730 539 185 681 696 34 67 520 485 775 971 607 996 717 13 950 675 285 219 308 274 903 451 662 922 335 53 282 656 398 288 308 369 947 413 289 216 329 315 146 598 163 821 659 937 573 169 213 588 164 19 408 622 353 401 677 222 106 992 899 422 538 863 512 150 819 338 379 866 592 578 39 814 759 339 67 586 599 942 256 439 823 432 722 73 407 555 803 421 643 635 388 516 5 220 789 608 58 138 543 831 232 592 880 518 141 597 414 384 204 141 848 431 628 244 18 210 362 984 855 800 832 439 124 699 246 813 658 913 264 739 260 935 663 462 850 350 45 44 174 179 571 636 261 145 645 989 183 98 57 287 386 662 491 914 604 371 181 700 145 414 965 751 596 177 920 586 640 509 365 414 633 458 429 436 270 749 98 117 227 904 412 434 149 800 132 485 980 340 347 1000 240 561 850 997 197 894 808 733 369 916 695 357 736 581 386 845 853 666 905 595 508 205 124 992 470 798 425 561 988 820 54 737 208 754 303 53 672 133 681 504 732 819 555 271 315 86 86 1000 24 576 916 303 275 449 968 593 109 799 972 229 425 670 697 695 280 952 402 406 909 815 970 561 90 953 391 238 481 914 135 867 536 720 906 105 128 795 32 701 332 900 837 328 443 384 673 26 962 908 621 530 452 267 651 938 379 78 349 321 76 116 169 552 341 826 348 849 554 740 412 380 137 756 474 380 963 866 464 482 724 630 127 576 196 458 245 497 431 747 965 495 986 449 710 685 663 413 337 527 859 955 53 294 566 584 269 888 258 893 787 879 775 381 17 216 695 228 815 632 654 768 237 258\n",
"4\n10 6 2 8\n\nSAMPLE\n",
"4\n6 2 12 1\n\nSAEPLN\n"
] |
[
"9\n",
"20\n",
"5\n",
"4\n",
"7\n",
"8\n",
"3\n",
"16\n",
"6\n",
"10\n"
] |
CodeContests
|
E: How To Make Stars-
story
Kitano Kisaka Gakuin 1st grade stardust bell! I like the stars of the bells! At night, I'm always secretly watching the stars on the roof of the school with my childhood friend Hanayo-chin! But unfortunately the weather today is rainy ... With this, you can't see the stars! What should I do with Hanayo?
Suzu "... Ah! Nya who came up with a good idea! Nya who makes a big planetarium where you can see various stars! Hanayo-chin! Nya who will do it right away!"
Hanayo "Well, eh, Suzu-chan, wait a minute! I don't know how to make a planetarium!"
Suzu "It's okay! You can do it if you work together!
Hanayo "Da, Darekatasukete ~!"
problem
In a polygon without self-intersection, when the number of vertices is 10 and the circumference is traced in a certain direction from any vertex, the internal angle is 30 degrees or more and 60 degrees or less, and the internal angle is 240 degrees. A "star" is defined as one in which parts with a temperature of 270 degrees or more appear alternately.
The rank of a star is determined by its area. Specifically, those with an area of S_1 or more are called first-class stars, and those with an area smaller than S_ {i−1} and S_i or more are called i-class stars (i ≥ 2).
Assuming that there are n classes, n kinds of areas S_1, ..., S_n are given as a guideline for the classes, so for each k (1 ≤ k ≤ n), a star that is a k-class star is created, and a two-dimensional plane is created. Place it on top. However, the stars must not overlap each other.
Input format
The input is given in the following format.
n
S_1 ... S_n
The number n of the classes is given in the first line. On the second line, the integers S_1 to S_n, which represent the area that serves as a guide for the class, are given in order, separated by blanks.
The input satisfies the following constraints.
* 1 ≤ n ≤ 100
* 1 ≤ S_i ≤ 100,000 (1 ≤ i ≤ n)
* If i <j, then S_i> S_j
Output format
For all class stars, output the class integer k on the first line, and output the coordinates (x, y) of 10 vertices counterclockwise from any vertex on the following 10 lines line by line. .. For the coordinates of the vertices (x, y), output x and y separated by blanks. Output the stars in order from the first-class stars. That is, the output is as follows.
First-class star output
...
n-class star output
For k-class stars, the output is as follows.
k
x_1 y_1
...
x_ {10} y_ {10}
However, the absolute value of the coordinates must not exceed 5,000. Also, since the output can be very large, the output of the coordinate values should be up to 9 digits after the decimal point.
For the internal angle of a star, allow an absolute error from the specified range up to 10 ^ {−3} rad (radians).
It is not permissible for stars to intersect or touch each other, or for one star to be contained in another. Here, the fact that the stars are in contact means that the distance between any two sides contained in different stars is 10 ^ {−7} or less.
The area of the first-class star must be S_1 or more, and the area of the i-class star (i ≥ 2) must be less than S_ {i−1} and more than S_i, but the absolute error is allowed up to 10 ^ {−7}.
The distance between any two vertices that make up a star must be greater than or equal to 10 ^ {−3}.
Input example 1
2
10 5
Output example 1
1
-10.00 -6.48
-10.79 -8.91
-13.34 -8.91
-11.28 -10.41
-12.07 -12.84
-10.00 -11.34
-7.93 -12.84
-8.72 -10.41
-6.66 -8.91
-9.21 -8.91
2
10.00 12.34
9.47 10.72
7.77 10.72
9.15 9.72
8.62 8.10
10.00 9.10
11.38 8.10
10.85 9.72
12.23 10.72
10.53 10.72
Input example 2
3
10 8 5
Output example 2
1
-10.00 -6.48
-10.79 -8.91
-13.34 -8.91
-11.28 -10.41
-12.07 -12.84
-10.00 -11.34
-7.93 -12.84
-8.72 -10.41
-6.66 -8.91
-9.21 -8.91
2
10.00 12.93
9.34 10.91
7.21 10.91
8.94 9.65
8.28 7.63
10.00 8.88
11.72 7.63
11.06 9.65
12.79 10.91
10.66 10.91
3
20.00 22.34
19.47 20.72
17.77 20.72
19.15 19.72
18.62 18.10
20.00 19.10
21.38 18.10
20.85 19.72
22.23 20.72
20.53 20.72
Example
Input
2
10 5
Output
1
-10.00 -6.48
-10.79 -8.91
-13.34 -8.91
-11.28 -10.41
-12.07 -12.84
-10.00 -11.34
-7.93 -12.84
-8.72 -10.41
-6.66 -8.91
-9.21 -8.91
2
10.00 12.34
9.47 10.72
7.77 10.72
9.15 9.72
8.62 8.10
10.00 9.10
11.38 8.10
10.85 9.72
12.23 10.72
10.53 10.72
|
stdin
| null | 2,458 | 1 |
[
"2\n10 5\n"
] |
[
"1\n-10.00 -6.48\n-10.79 -8.91\n-13.34 -8.91\n-11.28 -10.41\n-12.07 -12.84\n-10.00 -11.34\n-7.93 -12.84\n-8.72 -10.41\n-6.66 -8.91\n-9.21 -8.91\n2\n10.00 12.34\n9.47 10.72\n7.77 10.72\n9.15 9.72\n8.62 8.10\n10.00 9.10\n11.38 8.10\n10.85 9.72\n12.23 10.72\n10.53 10.72\n"
] |
[
"2\n9 5\n",
"2\n18 5\n",
"2\n18 9\n",
"2\n18 1\n",
"2\n28 1\n",
"2\n29 1\n",
"2\n9 1\n",
"2\n5 1\n",
"2\n5 2\n",
"2\n1 1\n"
] |
[
"1\n-4502.75681 -4500\n-4501.3784 -4500.6892\n-4501.3784 -4502.75681\n-4500 -4500.6892\n-4497.24319 -4501.3784\n-4498.6216 -4500\n-4497.24319 -4498.6216\n-4500 -4499.3108\n-4501.3784 -4497.24319\n-4501.3784 -4499.3108\n2\n-4502.09762 -3500\n-4501.04881 -3500.5244\n-4501.04881 -3502.09762\n-4500 -3500.5244\n-4497.90238 -3501.04881\n-4498.95119 -3500\n-4497.90238 -3498.95119\n-4500 -3499.4756\n-4501.04881 -3497.90238\n-4501.04881 -3499.4756\n",
"1\n-4503.84708 -4500\n-4501.92354 -4500.96177\n-4501.92354 -4503.84708\n-4500 -4500.96177\n-4496.15292 -4501.92354\n-4498.07646 -4500\n-4496.15292 -4498.07646\n-4500 -4499.03823\n-4501.92354 -4496.15292\n-4501.92354 -4499.03823\n2\n-4502.09762 -3500\n-4501.04881 -3500.5244\n-4501.04881 -3502.09762\n-4500 -3500.5244\n-4497.90238 -3501.04881\n-4498.95119 -3500\n-4497.90238 -3498.95119\n-4500 -3499.4756\n-4501.04881 -3497.90238\n-4501.04881 -3499.4756\n",
"1\n-4503.84708 -4500\n-4501.92354 -4500.96177\n-4501.92354 -4503.84708\n-4500 -4500.96177\n-4496.15292 -4501.92354\n-4498.07646 -4500\n-4496.15292 -4498.07646\n-4500 -4499.03823\n-4501.92354 -4496.15292\n-4501.92354 -4499.03823\n2\n-4502.75681 -3500\n-4501.3784 -3500.6892\n-4501.3784 -3502.75681\n-4500 -3500.6892\n-4497.24319 -3501.3784\n-4498.6216 -3500\n-4497.24319 -3498.6216\n-4500 -3499.3108\n-4501.3784 -3497.24319\n-4501.3784 -3499.3108\n",
"1\n-4503.84708 -4500\n-4501.92354 -4500.96177\n-4501.92354 -4503.84708\n-4500 -4500.96177\n-4496.15292 -4501.92354\n-4498.07646 -4500\n-4496.15292 -4498.07646\n-4500 -4499.03823\n-4501.92354 -4496.15292\n-4501.92354 -4499.03823\n2\n-4501.09545 -3500\n-4500.54772 -3500.27386\n-4500.54772 -3501.09545\n-4500 -3500.27386\n-4498.90455 -3500.54772\n-4499.45228 -3500\n-4498.90455 -3499.45228\n-4500 -3499.72614\n-4500.54772 -3498.90455\n-4500.54772 -3499.72614\n",
"1\n-4504.77493 -4500\n-4502.38747 -4501.19373\n-4502.38747 -4504.77493\n-4500 -4501.19373\n-4495.22507 -4502.38747\n-4497.61253 -4500\n-4495.22507 -4497.61253\n-4500 -4498.80627\n-4502.38747 -4495.22507\n-4502.38747 -4498.80627\n2\n-4501.09545 -3500\n-4500.54772 -3500.27386\n-4500.54772 -3501.09545\n-4500 -3500.27386\n-4498.90455 -3500.54772\n-4499.45228 -3500\n-4498.90455 -3499.45228\n-4500 -3499.72614\n-4500.54772 -3498.90455\n-4500.54772 -3499.72614\n",
"1\n-4504.85798 -4500\n-4502.42899 -4501.2145\n-4502.42899 -4504.85798\n-4500 -4501.2145\n-4495.14202 -4502.42899\n-4497.57101 -4500\n-4495.14202 -4497.57101\n-4500 -4498.7855\n-4502.42899 -4495.14202\n-4502.42899 -4498.7855\n2\n-4501.09545 -3500\n-4500.54772 -3500.27386\n-4500.54772 -3501.09545\n-4500 -3500.27386\n-4498.90455 -3500.54772\n-4499.45228 -3500\n-4498.90455 -3499.45228\n-4500 -3499.72614\n-4500.54772 -3498.90455\n-4500.54772 -3499.72614\n",
"1\n-4502.75681 -4500\n-4501.3784 -4500.6892\n-4501.3784 -4502.75681\n-4500 -4500.6892\n-4497.24319 -4501.3784\n-4498.6216 -4500\n-4497.24319 -4498.6216\n-4500 -4499.3108\n-4501.3784 -4497.24319\n-4501.3784 -4499.3108\n2\n-4501.09545 -3500\n-4500.54772 -3500.27386\n-4500.54772 -3501.09545\n-4500 -3500.27386\n-4498.90455 -3500.54772\n-4499.45228 -3500\n-4498.90455 -3499.45228\n-4500 -3499.72614\n-4500.54772 -3498.90455\n-4500.54772 -3499.72614\n",
"1\n-4502.09762 -4500\n-4501.04881 -4500.5244\n-4501.04881 -4502.09762\n-4500 -4500.5244\n-4497.90238 -4501.04881\n-4498.95119 -4500\n-4497.90238 -4498.95119\n-4500 -4499.4756\n-4501.04881 -4497.90238\n-4501.04881 -4499.4756\n2\n-4501.09545 -3500\n-4500.54772 -3500.27386\n-4500.54772 -3501.09545\n-4500 -3500.27386\n-4498.90455 -3500.54772\n-4499.45228 -3500\n-4498.90455 -3499.45228\n-4500 -3499.72614\n-4500.54772 -3498.90455\n-4500.54772 -3499.72614\n",
"1\n-4502.09762 -4500\n-4501.04881 -4500.5244\n-4501.04881 -4502.09762\n-4500 -4500.5244\n-4497.90238 -4501.04881\n-4498.95119 -4500\n-4497.90238 -4498.95119\n-4500 -4499.4756\n-4501.04881 -4497.90238\n-4501.04881 -4499.4756\n2\n-4501.41421 -3500\n-4500.70711 -3500.35355\n-4500.70711 -3501.41421\n-4500 -3500.35355\n-4498.58579 -3500.70711\n-4499.29289 -3500\n-4498.58579 -3499.29289\n-4500 -3499.64645\n-4500.70711 -3498.58579\n-4500.70711 -3499.64645\n",
"1\n-4501.09545 -4500\n-4500.54772 -4500.27386\n-4500.54772 -4501.09545\n-4500 -4500.27386\n-4498.90455 -4500.54772\n-4499.45228 -4500\n-4498.90455 -4499.45228\n-4500 -4499.72614\n-4500.54772 -4498.90455\n-4500.54772 -4499.72614\n2\n-4501.09545 -3500\n-4500.54772 -3500.27386\n-4500.54772 -3501.09545\n-4500 -3500.27386\n-4498.90455 -3500.54772\n-4499.45228 -3500\n-4498.90455 -3499.45228\n-4500 -3499.72614\n-4500.54772 -3498.90455\n-4500.54772 -3499.72614\n"
] |
CodeContests
|
Hansa loves dancing and so do her friends. But she has some pretty weird friends. Like this one friend of hers, Jack, jumps forward while dancing. The dance floor is of finite length (L) and there are many people dancing on it. During each song, Jack jumps exactly X steps forward and at the end of the song, he is pushed back Y steps by the other dancers.
Every class has a nerd. This one does too. The nerd doesn’t like dancing but in order to kill time he is watching this jumping Jack. He is counting the number of songs that have been played before Jack reaches the end of the dance floor. Tell us how many songs he counted.
Note: Even if a song doesn’t complete when he reaches the end of the dance floor, but it has started, then it is counted.
Input:
Three space separated integers L, X, Y.
Output:
A single line of output that is the answer to the question.
Constraints:
1 ≤ Y < X ≤ L ≤ 10^9
Problem Setter: Chintan Shah
SAMPLE INPUT
6 5 1
SAMPLE OUTPUT
2
|
stdin
| null | 1,883 | 1 |
[
"6 5 1\n\nSAMPLE\n"
] |
[
"2\n"
] |
[
"52183744 1909648 50733\n",
"6 5 1\n\nLAMPSE\n",
"52183744 470993 50733\n",
"52183744 74608 50733\n",
"103241088 74608 50733\n",
"32108700 74608 50733\n",
"32108700 94104 50733\n",
"41428645 1909648 1178022\n",
"52183744 1909648 12367\n",
"52183744 284192 50733\n"
] |
[
"29\n",
"2\n",
"125\n",
"2184\n",
"4323\n",
"1343\n",
"740\n",
"56\n",
"28\n",
"224\n"
] |
CodeContests
|
Here we describe a typical problem. There are n balls and n boxes. Each ball is labeled by a unique number from 1 to n. Initially each box contains one of these balls. We can swap two balls in adjacent boxes. We are to sort these balls in increasing order by swaps, i.e. move the ball labeled by 1 to the first box, labeled by 2 to the second box, and so forth. The question is how many swaps are needed.
Now let us consider the situation where the balls are doubled, that is, there are 2n balls and n boxes, exactly two balls are labeled by k for each 1 ≤ k ≤ n, and the boxes contain two balls each. We can swap two balls in adjacent boxes, one ball from each box. We are to move the both balls labeled by 1 to the first box, labeled by 2 to the second box, and so forth. The question is again how many swaps are needed.
Here is one interesting fact. We need 10 swaps to sort [5; 4; 3; 2; 1] (the state with 5 in the first box, 4 in the second box, and so forth): swapping 5 and 4, then 5 and 3, 5 and 2, 5 and 1, 4 and 3, 4 and 2, 4 and 1, 3 and 2, 3 and 1,and finally 2 and 1. Then how many swaps we need to sort [5, 5; 4, 4; 3, 3; 2, 2; 1, 1] (the state with two 5’s in the first box, two 4’s in the second box, and so forth)? Some of you might think 20 swaps - this is not true, but the actual number is 15.
Write a program that calculates the number of swaps for the two-ball version and verify the above fact.
Input
The input consists of multiple datasets. Each dataset has the following format:
n
ball1,1 ball1,2
ball2,1 ball2,2
...
balln,1 balln,2
n is the number of boxes (1 ≤ n ≤ 8). balli,1 and balli,2 , for 1 ≤ i ≤ n, are the labels of two balls initially contained by the i-th box.
The last dataset is followed by a line containing one zero. This line is not a part of any dataset and should not be processed.
Output
For each dataset, print the minumum possible number of swaps.
Example
Input
5
5 5
4 4
3 3
2 2
1 1
5
1 5
3 4
2 5
2 3
1 4
8
8 3
4 2
6 4
3 5
5 8
7 1
2 6
1 7
0
Output
15
9
21
|
stdin
| null | 984 | 1 |
[
"5\n5 5\n4 4\n3 3\n2 2\n1 1\n5\n1 5\n3 4\n2 5\n2 3\n1 4\n8\n8 3\n4 2\n6 4\n3 5\n5 8\n7 1\n2 6\n1 7\n0\n"
] |
[
"15\n9\n21\n"
] |
[
"5\n5 5\n4 4\n3 3\n2 2\n1 1\n0\n1 5\n3 4\n2 5\n2 3\n1 4\n8\n8 3\n4 2\n6 4\n3 5\n5 8\n7 1\n2 6\n1 7\n0\n",
"5\n5 5\n4 4\n3 3\n2 2\n1 1\n0\n1 5\n3 4\n2 5\n2 3\n1 5\n8\n8 3\n4 2\n6 4\n3 5\n5 8\n7 1\n2 6\n1 7\n0\n",
"5\n5 5\n4 4\n3 3\n2 2\n1 1\n0\n1 5\n3 4\n2 5\n0 3\n1 5\n8\n8 3\n4 2\n6 4\n3 5\n5 8\n7 1\n2 6\n1 7\n0\n",
"5\n5 5\n4 4\n3 3\n2 2\n1 1\n0\n1 5\n3 4\n2 5\n2 3\n1 4\n8\n8 3\n4 2\n6 4\n3 5\n8 8\n7 1\n2 6\n1 7\n0\n",
"5\n5 5\n4 4\n3 3\n2 2\n1 1\n0\n1 10\n3 4\n2 5\n2 3\n1 5\n8\n8 3\n4 2\n6 4\n3 5\n5 8\n7 1\n2 6\n1 7\n0\n",
"5\n5 5\n4 4\n3 3\n2 2\n1 1\n0\n1 5\n3 4\n2 5\n0 3\n1 2\n8\n8 3\n4 2\n6 4\n3 5\n5 8\n7 1\n2 6\n1 7\n0\n",
"5\n5 5\n4 4\n3 3\n2 2\n1 1\n0\n1 5\n3 4\n2 5\n0 3\n1 2\n8\n8 3\n4 2\n6 0\n3 5\n5 8\n7 1\n2 6\n1 7\n0\n",
"5\n5 5\n4 4\n3 3\n2 2\n1 1\n0\n1 5\n3 4\n2 5\n0 3\n1 2\n11\n8 3\n4 2\n6 0\n3 5\n5 8\n7 1\n2 6\n1 7\n0\n",
"5\n5 5\n4 4\n3 3\n2 2\n1 1\n0\n1 5\n3 4\n2 5\n0 3\n1 2\n11\n8 3\n4 3\n6 0\n3 5\n5 8\n7 1\n2 6\n1 7\n0\n",
"5\n5 5\n4 4\n3 3\n2 2\n1 1\n0\n1 5\n3 4\n2 5\n2 3\n1 4\n8\n8 3\n4 2\n6 4\n3 5\n5 8\n7 1\n2 5\n1 7\n0\n"
] |
[
"15\n",
"15\n",
"15\n",
"15\n",
"15\n",
"15\n",
"15\n",
"15\n",
"15\n",
"15\n"
] |
CodeContests
|
Origami, or the art of folding paper
Master Grus is a famous origami (paper folding) artist, who is enthusiastic about exploring the possibility of origami art. For future creation, he is now planning fundamental experiments to establish the general theory of origami.
One rectangular piece of paper is used in each of his experiments. He folds it horizontally and/or vertically several times and then punches through holes in the folded paper.
The following figure illustrates the folding process of a simple experiment, which corresponds to the third dataset of the Sample Input below. Folding the 10 × 8 rectangular piece of paper shown at top left three times results in the 6 × 6 square shape shown at bottom left. In the figure, dashed lines indicate the locations to fold the paper and round arrows indicate the directions of folding. Grid lines are shown as solid lines to tell the sizes of rectangular shapes and the exact locations of folding. Color densities represent the numbers of overlapping layers. Punching through holes at A and B in the folded paper makes nine holes in the paper, eight at A and another at B.
<image>
Your mission in this problem is to write a computer program to count the number of holes in the paper, given the information on a rectangular piece of paper and folding and punching instructions.
Input
The input consists of at most 1000 datasets, each in the following format.
> n m t p
> d1 c1
> ...
> dt ct
> x1 y1
> ...
> xp yp
>
n and m are the width and the height, respectively, of a rectangular piece of paper. They are positive integers at most 32. t and p are the numbers of folding and punching instructions, respectively. They are positive integers at most 20. The pair of di and ci gives the i-th folding instruction as follows:
* di is either 1 or 2.
* ci is a positive integer.
* If di is 1, the left-hand side of the vertical folding line that passes at ci right to the left boundary is folded onto the right-hand side.
* If di is 2, the lower side of the horizontal folding line that passes at ci above the lower boundary is folded onto the upper side.
After performing the first i−1 folding instructions, if di is 1, the width of the shape is greater than ci. Otherwise the height is greater than ci. (xi + 1/2, yi + 1/2) gives the coordinates of the point where the i-th punching instruction is performed. The origin (0, 0) is at the bottom left of the finally obtained shape. xi and yi are both non-negative integers and they are less than the width and the height, respectively, of the shape. You can assume that no two punching instructions punch holes at the same location.
The end of the input is indicated by a line containing four zeros.
Output
For each dataset, output p lines, the i-th of which contains the number of holes punched in the paper by the i-th punching instruction.
Sample Input
2 1 1 1
1 1
0 0
1 3 2 1
2 1
2 1
0 0
10 8 3 2
2 2
1 3
1 1
0 1
3 4
3 3 3 2
1 2
2 1
1 1
0 1
0 0
0 0 0 0
Output for the Sample Input
2
3
8
1
3
6
Example
Input
2 1 1 1
1 1
0 0
1 3 2 1
2 1
2 1
0 0
10 8 3 2
2 2
1 3
1 1
0 1
3 4
3 3 3 2
1 2
2 1
1 1
0 1
0 0
0 0 0 0
Output
2
3
8
1
3
6
|
stdin
| null | 4,318 | 1 |
[
"2 1 1 1\n1 1\n0 0\n1 3 2 1\n2 1\n2 1\n0 0\n10 8 3 2\n2 2\n1 3\n1 1\n0 1\n3 4\n3 3 3 2\n1 2\n2 1\n1 1\n0 1\n0 0\n0 0 0 0\n"
] |
[
"2\n3\n8\n1\n3\n6\n"
] |
[
"2 1 1 1\n1 1\n0 0\n1 3 2 1\n2 1\n2 1\n0 0\n10 8 3 2\n2 2\n1 2\n1 1\n0 1\n3 4\n3 3 3 2\n1 2\n2 1\n1 1\n0 1\n0 0\n0 0 0 0\n",
"2 1 1 1\n1 1\n0 0\n1 3 2 1\n2 1\n2 1\n0 0\n10 8 3 2\n2 2\n1 3\n1 1\n0 1\n3 4\n3 3 3 2\n1 2\n1 1\n1 1\n0 1\n0 0\n0 0 0 0\n",
"2 1 1 1\n1 0\n0 0\n1 3 2 1\n2 1\n2 1\n0 0\n10 8 3 2\n2 2\n1 2\n1 1\n0 1\n3 4\n3 3 3 2\n1 2\n2 2\n1 1\n0 1\n0 0\n0 0 0 0\n",
"2 1 1 1\n1 1\n0 0\n1 3 2 1\n2 0\n2 1\n0 0\n10 8 3 2\n2 2\n1 2\n1 1\n0 1\n2 4\n3 3 3 2\n1 2\n2 1\n1 1\n0 1\n0 0\n0 0 0 0\n",
"2 1 1 1\n1 1\n0 0\n1 3 2 1\n2 0\n2 1\n0 0\n10 8 3 2\n2 2\n1 2\n1 1\n0 1\n2 4\n3 3 3 2\n1 3\n2 1\n1 1\n0 1\n0 0\n0 0 0 0\n",
"2 1 1 1\n1 1\n0 0\n1 3 2 1\n2 0\n2 1\n0 0\n10 8 3 2\n2 2\n1 2\n1 1\n0 1\n2 4\n3 3 3 2\n1 3\n2 1\n1 0\n0 1\n0 0\n0 0 0 0\n",
"2 1 1 1\n1 1\n0 0\n1 3 2 1\n2 1\n2 1\n0 0\n10 8 3 2\n2 2\n1 3\n1 0\n0 1\n6 4\n3 3 3 2\n1 2\n1 1\n1 1\n0 1\n0 0\n0 0 0 0\n",
"2 1 1 1\n1 1\n0 0\n1 3 2 1\n2 1\n2 1\n0 0\n10 8 3 2\n1 2\n1 2\n1 1\n0 1\n2 4\n3 3 3 2\n1 2\n2 1\n1 1\n0 1\n0 0\n0 0 0 0\n",
"3 1 1 1\n1 1\n0 0\n1 3 2 1\n2 2\n2 1\n0 0\n10 8 3 2\n2 2\n1 0\n1 1\n0 1\n6 4\n3 3 3 2\n1 2\n2 1\n1 1\n0 1\n0 0\n0 0 0 0\n",
"2 1 1 1\n1 1\n0 0\n1 3 2 1\n2 1\n2 1\n0 0\n10 8 3 2\n2 2\n1 2\n1 1\n0 1\n3 4\n4 3 3 2\n1 2\n2 2\n1 1\n0 1\n0 0\n0 0 0 0\n"
] |
[
"2\n3\n8\n1\n3\n6\n",
"2\n3\n8\n1\n3\n3\n",
"1\n3\n8\n1\n3\n6\n",
"2\n2\n8\n1\n3\n6\n",
"2\n2\n8\n1\n2\n4\n",
"2\n2\n8\n1\n1\n2\n",
"2\n3\n4\n1\n3\n3\n",
"2\n3\n6\n1\n3\n6\n",
"2\n3\n4\n1\n3\n6\n",
"2\n3\n8\n1\n4\n8\n"
] |
CodeContests
|
There is a chain consisting of multiple circles on a plane. The first (last) circle of the chain only intersects with the next (previous) circle, and each intermediate circle intersects only with the two neighboring circles.
Your task is to find the shortest path that satisfies the following conditions.
* The path connects the centers of the first circle and the last circle.
* The path is confined in the chain, that is, all the points on the path are located within or on at least one of the circles.
Figure E-1 shows an example of such a chain and the corresponding shortest path.
<image>
Figure E-1: An example chain and the corresponding shortest path
Input
The input consists of multiple datasets. Each dataset represents the shape of a chain in the following format.
> n
> x1 y1 r1
> x2 y2 r2
> ...
> xn yn rn
>
The first line of a dataset contains an integer n (3 ≤ n ≤ 100) representing the number of the circles. Each of the following n lines contains three integers separated by a single space. (xi, yi) and ri represent the center position and the radius of the i-th circle Ci. You can assume that 0 ≤ xi ≤ 1000, 0 ≤ yi ≤ 1000, and 1 ≤ ri ≤ 25.
You can assume that Ci and Ci+1 (1 ≤ i ≤ n−1) intersect at two separate points. When j ≥ i+2, Ci and Cj are apart and either of them does not contain the other. In addition, you can assume that any circle does not contain the center of any other circle.
The end of the input is indicated by a line containing a zero.
Figure E-1 corresponds to the first dataset of Sample Input below. Figure E-2 shows the shortest paths for the subsequent datasets of Sample Input.
<image>
Figure E-2: Example chains and the corresponding shortest paths
Output
For each dataset, output a single line containing the length of the shortest chain-confined path between the centers of the first circle and the last circle. The value should not have an error greater than 0.001. No extra characters should appear in the output.
Sample Input
10
802 0 10
814 0 4
820 1 4
826 1 4
832 3 5
838 5 5
845 7 3
849 10 3
853 14 4
857 18 3
3
0 0 5
8 0 5
8 8 5
3
0 0 5
7 3 6
16 0 5
9
0 3 5
8 0 8
19 2 8
23 14 6
23 21 6
23 28 6
19 40 8
8 42 8
0 39 5
11
0 0 5
8 0 5
18 8 10
8 16 5
0 16 5
0 24 5
3 32 5
10 32 5
17 28 8
27 25 3
30 18 5
0
Output for the Sample Input
58.953437
11.414214
16.0
61.874812
63.195179
Example
Input
10
802 0 10
814 0 4
820 1 4
826 1 4
832 3 5
838 5 5
845 7 3
849 10 3
853 14 4
857 18 3
3
0 0 5
8 0 5
8 8 5
3
0 0 5
7 3 6
16 0 5
9
0 3 5
8 0 8
19 2 8
23 14 6
23 21 6
23 28 6
19 40 8
8 42 8
0 39 5
11
0 0 5
8 0 5
18 8 10
8 16 5
0 16 5
0 24 5
3 32 5
10 32 5
17 28 8
27 25 3
30 18 5
0
Output
58.953437
11.414214
16.0
61.874812
63.195179
|
stdin
| null | 1,218 | 1 |
[
"10\n802 0 10\n814 0 4\n820 1 4\n826 1 4\n832 3 5\n838 5 5\n845 7 3\n849 10 3\n853 14 4\n857 18 3\n3\n0 0 5\n8 0 5\n8 8 5\n3\n0 0 5\n7 3 6\n16 0 5\n9\n0 3 5\n8 0 8\n19 2 8\n23 14 6\n23 21 6\n23 28 6\n19 40 8\n8 42 8\n0 39 5\n11\n0 0 5\n8 0 5\n18 8 10\n8 16 5\n0 16 5\n0 24 5\n3 32 5\n10 32 5\n17 28 8\n27 25 3\n30 18 5\n0\n"
] |
[
"58.953437\n11.414214\n16.0\n61.874812\n63.195179\n"
] |
[
"10\n802 0 10\n814 0 4\n820 1 4\n826 1 4\n832 3 5\n838 5 5\n845 7 3\n849 10 3\n853 14 4\n857 18 3\n3\n0 0 5\n8 0 5\n8 8 5\n3\n0 0 5\n7 3 6\n16 0 5\n9\n0 3 5\n8 0 8\n19 2 8\n23 14 6\n23 21 6\n23 28 6\n19 40 8\n8 42 8\n0 39 5\n11\n0 0 5\n8 0 5\n18 8 10\n8 16 5\n0 16 5\n0 24 5\n3 32 5\n10 32 5\n17 28 8\n27 25 3\n30 28 5\n0\n",
"10\n802 0 10\n814 0 4\n820 1 4\n826 1 4\n832 3 5\n838 5 5\n845 7 3\n849 10 3\n853 14 4\n857 18 3\n3\n0 0 5\n8 0 5\n8 8 5\n3\n0 0 5\n7 3 6\n16 0 5\n9\n0 3 5\n8 0 8\n19 2 8\n23 14 6\n23 21 6\n23 28 6\n19 40 8\n8 42 8\n0 39 5\n11\n0 0 5\n8 0 5\n18 8 10\n8 16 5\n0 16 5\n0 24 5\n3 32 5\n10 32 5\n17 28 8\n27 25 3\n31 28 5\n0\n",
"10\n802 0 10\n814 0 4\n820 1 4\n826 1 4\n832 3 5\n838 5 5\n845 7 3\n849 10 3\n853 14 4\n857 18 3\n3\n0 0 5\n8 0 5\n8 8 5\n3\n0 0 9\n7 3 6\n16 0 5\n9\n0 3 5\n8 0 8\n19 2 8\n23 14 6\n23 21 6\n23 28 6\n19 40 8\n8 42 8\n0 39 5\n11\n0 0 5\n8 0 5\n18 8 10\n8 16 5\n0 16 5\n0 24 5\n3 32 5\n10 32 5\n17 28 8\n27 25 3\n30 18 5\n0\n",
"10\n802 0 10\n814 0 4\n820 1 4\n826 1 4\n832 3 5\n838 5 5\n845 7 3\n849 10 3\n853 14 4\n857 18 3\n3\n0 0 5\n8 0 5\n8 8 5\n3\n0 0 5\n7 3 6\n16 1 5\n9\n0 3 5\n8 0 8\n19 2 8\n23 14 6\n23 21 6\n23 28 6\n19 40 8\n8 42 8\n0 39 5\n11\n0 0 5\n8 0 5\n18 8 10\n8 16 5\n0 16 5\n0 24 5\n3 32 5\n10 32 5\n17 28 8\n27 25 3\n30 28 5\n0\n",
"10\n802 0 10\n814 0 4\n820 1 4\n826 1 4\n832 3 5\n838 5 5\n845 7 3\n849 10 3\n853 14 4\n857 18 3\n3\n0 0 5\n8 0 5\n8 8 5\n3\n0 0 5\n7 3 6\n16 0 5\n9\n0 3 5\n8 0 8\n19 2 8\n23 14 6\n23 21 6\n23 28 6\n19 40 8\n8 42 8\n0 39 5\n11\n0 0 5\n8 0 5\n18 8 10\n8 16 5\n0 16 5\n0 24 5\n3 32 5\n10 32 7\n17 28 8\n27 25 3\n31 28 5\n0\n",
"10\n802 0 10\n814 0 4\n820 1 4\n826 1 4\n832 3 5\n838 5 5\n845 7 3\n849 10 3\n853 14 4\n857 18 3\n3\n0 0 5\n8 0 5\n8 8 5\n3\n0 0 9\n7 3 6\n16 0 5\n9\n0 3 5\n8 0 8\n19 2 8\n23 14 6\n23 21 6\n23 28 6\n19 40 8\n8 42 8\n0 39 5\n11\n-1 0 5\n8 0 5\n18 8 10\n8 16 5\n0 16 5\n0 24 5\n3 32 5\n10 32 5\n17 28 8\n27 25 3\n30 18 5\n0\n",
"10\n802 0 10\n814 0 4\n820 1 4\n826 1 4\n832 3 5\n838 7 5\n845 7 3\n849 10 3\n853 14 4\n857 18 3\n3\n0 0 5\n8 0 5\n8 8 5\n3\n0 0 5\n7 3 6\n16 0 5\n9\n0 3 5\n8 0 8\n19 2 8\n23 14 6\n23 21 6\n23 28 6\n19 40 8\n8 42 8\n0 39 5\n11\n0 0 5\n8 0 5\n18 8 10\n8 16 5\n0 16 5\n0 24 5\n3 32 5\n10 32 7\n17 28 8\n27 25 3\n31 28 5\n0\n",
"10\n802 0 10\n814 0 4\n820 1 4\n826 1 4\n832 3 5\n838 7 5\n845 7 3\n849 10 3\n853 14 4\n857 18 3\n3\n0 0 5\n8 0 5\n8 8 5\n3\n0 0 5\n7 3 6\n16 0 5\n9\n0 3 5\n8 0 8\n19 2 8\n16 14 6\n23 21 6\n23 28 6\n19 40 8\n8 42 8\n0 39 5\n11\n0 0 5\n8 0 5\n18 8 10\n8 16 5\n0 16 5\n0 24 5\n3 32 5\n10 32 7\n17 28 8\n27 25 3\n31 28 5\n0\n",
"10\n802 0 10\n814 0 4\n820 1 4\n826 1 4\n832 1 5\n838 7 5\n845 7 3\n849 10 3\n853 14 4\n857 18 3\n3\n0 0 5\n8 0 5\n8 8 5\n3\n0 0 5\n7 3 6\n16 0 5\n9\n0 3 5\n8 0 8\n19 2 8\n16 14 6\n23 21 6\n23 28 6\n19 40 8\n8 42 8\n0 39 5\n11\n0 0 5\n8 0 5\n18 8 10\n8 16 5\n0 16 5\n0 24 5\n3 32 5\n10 32 7\n17 28 8\n27 25 3\n31 28 5\n0\n",
"10\n802 0 10\n814 0 4\n820 1 4\n826 1 4\n832 1 5\n838 7 5\n845 7 3\n849 10 4\n853 14 4\n857 18 3\n3\n0 0 5\n8 0 5\n8 8 5\n3\n0 0 5\n7 3 6\n16 0 5\n9\n0 3 5\n8 0 8\n19 2 8\n16 14 6\n23 21 6\n23 28 6\n19 40 8\n8 42 8\n0 39 5\n11\n0 0 5\n8 0 5\n18 8 10\n8 16 5\n0 16 5\n0 24 5\n3 32 5\n10 32 7\n17 28 8\n27 25 3\n31 28 5\n0\n"
] |
[
"58.953437\n11.414214\n16.000000\n61.874812\n60.027817\n",
"58.953437\n11.414214\n16.000000\n61.874812\n61.017457\n",
"58.953437\n11.414214\n16.000000\n61.874812\n63.195179\n",
"58.953437\n11.414214\n16.031220\n61.874812\n60.027817\n",
"58.953437\n11.414214\n16.000000\n61.874812\n60.681248\n",
"58.953437\n11.414214\n16.000000\n61.874812\n64.074377\n",
"58.835876\n11.414214\n16.000000\n61.874812\n60.681248\n",
"58.835876\n11.414214\n16.000000\n59.457061\n60.681248\n",
"58.894288\n11.414214\n16.000000\n59.457061\n60.681248\n",
"58.737915\n11.414214\n16.000000\n59.457061\n60.681248\n"
] |
CodeContests
|
prison
There are an infinite number of prisoners. Initially, the prisoners are numbered 0, 1, 2, ....
Do the following N times:
* Release the 0th prisoner and execute the k, 2k, 3k, ... th prisoners.
* Then renumber the remaining prisoners. At this time, the prisoners with the smallest original numbers are numbered 0, 1, 2, ... in order.
Find the number that was originally assigned to the prisoner released in the Nth operation.
Constraints
* 1 ≤ N ≤ 10 ^ 5
* 2 ≤ k ≤ 10 ^ 5
* The answer is less than 10 ^ {18}.
Input Format
Input is given from standard input in the following format.
N k
Output Format
Print the answer in one line.
Sample Input 1
4 2
Sample Output 1
7
Sample Input 2
13
Sample Output 2
0
Sample Input 3
100000 100000
Sample Output 3
99999
Example
Input
4 2
Output
7
|
stdin
| null | 3,331 | 1 |
[
"4 2\n"
] |
[
"7\n"
] |
[
"5 2\n",
"7 2\n",
"10 2\n",
"2 2\n",
"1 2\n",
"4 3\n",
"8 2\n",
"6 2\n",
"7 4\n",
"3 3\n"
] |
[
"15\n",
"63\n",
"511\n",
"1\n",
"0\n",
"4\n",
"127\n",
"31\n",
"10\n",
"2\n"
] |
CodeContests
|
For given two lines s1 and s2, print "2" if they are parallel, "1" if they are orthogonal, or "0" otherwise.
s1 crosses points p0 and p1, and s2 crosses points p2 and p3.
Constraints
* 1 ≤ q ≤ 1000
* -10000 ≤ xpi, ypi ≤ 10000
* p0 ≠ p1 and p2 ≠ p3.
Input
The entire input looks like:
q (the number of queries)
1st query
2nd query
...
qth query
Each query consists of integer coordinates of the points p0, p1, p2, p3 in the following format:
xp0 yp0 xp1 yp1 xp2 yp2 xp3 yp3
Output
For each query, print "2", "1" or "0".
Example
Input
3
0 0 3 0 0 2 3 2
0 0 3 0 1 1 1 4
0 0 3 0 1 1 2 2
Output
2
1
0
|
stdin
| null | 4,210 | 1 |
[
"3\n0 0 3 0 0 2 3 2\n0 0 3 0 1 1 1 4\n0 0 3 0 1 1 2 2\n"
] |
[
"2\n1\n0\n"
] |
[
"3\n0 0 3 0 0 2 3 2\n0 0 3 0 1 1 1 7\n0 0 3 0 1 1 2 2\n",
"3\n0 0 3 1 0 2 3 2\n0 0 3 0 1 1 1 7\n0 0 3 0 1 1 2 2\n",
"3\n0 0 3 0 0 2 3 2\n0 0 3 -1 1 1 1 4\n0 0 3 0 1 1 2 2\n",
"3\n0 0 3 1 0 2 3 2\n0 1 3 0 1 1 1 7\n0 0 3 0 1 1 2 2\n",
"3\n0 0 3 1 0 2 3 2\n0 1 3 0 1 0 1 7\n0 0 3 0 1 1 2 1\n",
"3\n0 -1 3 0 0 4 3 2\n1 0 3 -1 1 0 1 16\n0 0 1 0 0 1 0 0\n",
"3\n-1 1 1 5 4 -1 0 1\n0 1 4 0 0 0 -1 11\n-2 -2 1 1 0 0 -1 0\n",
"3\n-1 1 1 5 4 -1 0 1\n0 1 4 0 0 0 -1 11\n-2 -2 1 1 0 0 -1 -1\n",
"3\n0 0 2 5 4 0 -2 0\n1 0 6 0 2 1 -2 1\n-1 -6 0 1 -1 0 -1 -3\n",
"3\n0 -1 2 1 0 4 3 1\n1 0 3 -2 1 -1 0 16\n0 0 1 0 0 1 0 0\n"
] |
[
"2\n1\n0\n",
"0\n1\n0\n",
"2\n0\n0\n",
"0\n0\n0\n",
"0\n0\n2\n",
"0\n0\n1\n",
"1\n0\n0\n",
"1\n0\n2\n",
"0\n2\n0\n",
"1\n0\n1\n"
] |
CodeContests
|
In an electric circuit, when two resistors R_1 and R_2 are connected in parallel, the equivalent resistance R_3 can be derived from the following formula:
* \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_3}
Given R_1 and R_2, find R_3.
Constraints
* 1 \leq R_1, R_2 \leq 100
* R_1 and R_2 are integers.
Input
The input is given from Standard Input in the following format:
R_1 R_2
Output
Print the value of R_3.
The output is considered correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3
Output
1.2000000000
Input
100 99
Output
49.7487437186
|
stdin
| null | 1,612 | 1 |
[
"100 99\n",
"2 3\n"
] |
[
"49.7487437186\n",
"1.2000000000\n"
] |
[
"100 113\n",
"4 3\n",
"100 166\n",
"7 3\n",
"110 166\n",
"7 1\n",
"110 262\n",
"14 1\n",
"110 86\n",
"110 11\n"
] |
[
"53.0516431925\n",
"1.71428571429\n",
"62.4060150376\n",
"2.1\n",
"66.1594202899\n",
"0.875\n",
"77.4731182796\n",
"0.933333333333\n",
"48.2653061224\n",
"10.0\n"
] |
CodeContests
|
An X-layered kagami mochi (X ≥ 1) is a pile of X round mochi (rice cake) stacked vertically where each mochi (except the bottom one) has a smaller diameter than that of the mochi directly below it. For example, if you stack three mochi with diameters of 10, 8 and 6 centimeters from bottom to top in this order, you have a 3-layered kagami mochi; if you put just one mochi, you have a 1-layered kagami mochi.
Lunlun the dachshund has N round mochi, and the diameter of the i-th mochi is d_i centimeters. When we make a kagami mochi using some or all of them, at most how many layers can our kagami mochi have?
Constraints
* 1 ≤ N ≤ 100
* 1 ≤ d_i ≤ 100
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
d_1
:
d_N
Output
Print the maximum number of layers in a kagami mochi that can be made.
Examples
Input
4
10
8
8
6
Output
3
Input
3
15
15
15
Output
1
Input
7
50
30
50
100
50
80
30
Output
4
|
stdin
| null | 3,477 | 1 |
[
"7\n50\n30\n50\n100\n50\n80\n30\n",
"3\n15\n15\n15\n",
"4\n10\n8\n8\n6\n"
] |
[
"4\n",
"1\n",
"3\n"
] |
[
"7\n50\n30\n50\n100\n50\n80\n35\n",
"3\n29\n15\n15\n",
"4\n10\n8\n14\n6\n",
"3\n29\n15\n14\n",
"7\n50\n40\n91\n110\n50\n34\n59\n",
"7\n50\n40\n91\n110\n3\n34\n59\n",
"3\n1\n1\n1\n",
"7\n50\n30\n50\n100\n50\n80\n59\n",
"4\n10\n8\n16\n6\n",
"7\n50\n40\n50\n100\n50\n80\n59\n"
] |
[
"5\n",
"2\n",
"4\n",
"3\n",
"6\n",
"7\n",
"1\n",
"5\n",
"4\n",
"5\n"
] |
CodeContests
|
There is a magic room in a homestead. The room is paved with H × W tiles. There are five different tiles:
* Tile with a east-pointing arrow
* Tile with a west-pointing arrow
* Tile with a south-pointing arrow
* Tile with a north-pointing arrow
* Tile with nothing
Once a person steps onto a tile which has an arrow, the mystic force makes the person go to the next tile pointed by the arrow. If the next tile has an arrow, the person moves to the next, ans so on. The person moves on until he/she steps onto a tile which does not have the arrow (the tile with nothing). The entrance of the room is at the northwest corner.
Your task is to write a program which simulates the movement of the person in the room. The program should read strings which represent the room and print the last position of the person.
The input represents the room as seen from directly above, and up, down, left and right side of the input correspond to north, south, west and east side of the room respectively. The horizontal axis represents x-axis (from 0 to W-1, inclusive) and the vertical axis represents y-axis (from 0 to H-1, inclusive). The upper left tile corresponds to (0, 0).
The following figure shows an example of the input:
10 10
>>>v..>>>v
...v..^..v
...>>>^..v
.........v
.v<<<<...v
.v...^...v
.v...^<<<<
.v........
.v...^....
.>>>>^....
Characters represent tiles as follows:
'>': Tile with a east-pointing arrow
'<': Tile with a west-pointing arrow
'^': Tile with a north-pointing arrow
'v': Tile with a south-pointing arrow
'.': Tile with nothing
If the person goes in cycles forever, your program should print "LOOP". You may assume that the person never goes outside of the room.
Input
The input consists of multiple datasets. The input ends with a line which contains two 0. Each dataset consists of:
H W
H lines where each line contains W characters
You can assume that 0 < W, H < 101.
Output
For each dataset, print the coordinate (X, Y) of the person or "LOOP" in a line. X and Y should be separated by a space.
Examples
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v
Output
5 7
LOOP
Input
10 10
>>>v..>>>v
...v..^..v
>>>>>>^..v
.........v
.v<<<<...v
.v.v.^...v
.v.v.^<<<<
.v.v.....v
.v...^...v
.>>>>^....
6 10
>>>>>>>>>v
.........v
.........v
>>>>v....v
^...v....v
^<<<<<<<<<
0 0
Output
5 7
LOOP
|
stdin
| null | 1,534 | 1 |
[
"10 10\n>>>v..>>>v\n...v..^..v\n>>>>>>^..v\n.........v\n.v\n",
"10 10\n>>>v..>>>v\n...v..^..v\n>>>>>>^..v\n.........v\n.v<<<<...v\n.v.v.^...v\n.v.v.^<<<<\n.v.v.....v\n.v...^...v\n.>>>>^....\n6 10\n>>>>>>>>>v\n.........v\n.........v\n>>>>v....v\n^...v....v\n^<<<<<<<<<\n0 0\n"
] |
[
"5 7\nLOOP\n",
"5 7\nLOOP\n"
] |
[
"10 10\n>>>.v.>>>v\n...v..^..v\n>>>>>>^..v\n.........v\n.v\n",
"10 20\n>>>v..>>>v\n...v..^..v\n>>>>>>^..v\n.........v\n.v\n",
"10 10\n>>>v..>>>v\n...v..^..v\n>>>>>>^..v\n.........v\n.v<<<<...v\n.v.v.^...v\n.v.v.^<<<<\n.v.v.....v\n.v...^...v\n.?>>>^....\n6 10\n>>>>>>>>>v\n.........v\n.........v\n>>>>v....v\n^...v....v\n^<<<<<<<<<\n0 0\n",
"10 10\nv>>>..v>>>\n...v..^..v\n>>>>>>^..v\n.........v\n.v<<<<...v\n.v.v.^...v\n.v.v.^<<<<\n.v.v.....v\n.v...^...v\n.?>>>^....\n6 10\n>>>>>>>>>v\n.........v\n.........v\n>>>>v...-v\n^...v....v\n^<<<<<<<<<\n0 0\n",
"10 10\nv>>>..v>>>\n...v..^..v\n>>>>>>^..v\n.........v\nv...<<<<v.\n.v.v.^...v\n.v.v.^<<<<\n.v.v.....v\n.v...^...v\n.?>>>^....\n6 10\n>>>>>>>>>v\nv.........\n.........v\n>>>>v...-v\n^...v....v\n^<=<<<<<<<\n0 0\n",
"7 10\nv>>>..v>>>\n...v..^..v\n>>>>>>]..v\n.........v\nv...<<<<v.\n.v.v.^...v\n.v.v.^<<<<\n.v.v.....v\n.v...^...v\n.?>>>^.../\n3 10\n>>>>>>>>>v\nv.........\n.........v\n>>>>v...-v\n^...v....v\n^<=<<<<<<<\n0 0\n",
"10 10\n>>>v..>>>v\n...v..^..v\n>>>>>>^..v\n.........v\n.v<<<<...v\n.v.v.^...v\n.v.v.^<<<<\n.v.v.....v\n.v...^...v\n.>.>>^.>..\n6 10\n>>>>>>>>>v\n.........v\n.........v\n>>>>v....v\n^...v....v\n^<<<<<<<<<\n0 0\n",
"10 10\nv>>>..v>>>\n...v..^..v\n>>>>>>^..v\n.........v\nv...<<<<v.\n.v.v.^...v\n.v.v.^<<<<\n.v.v.....v\n.v...^...v\n.?>>>^....\n6 10\nv>>>>>>>>>\n.........v\n.........v\n>>>>v...-v\n^...v....v\n^<=<<<<<<<\n0 0\n",
"10 10\nv>>>..v>>>\n/..v..^..v\n>>>>>>]..v\n.........v\nv...<<<<v.\n.v.v.^...v\n.v.v.^<<<<\n.v.v.....v\n.v...^...v\n.?>>>^.../\n3 10\n>>>>>>>>>v\nv.........\n.........v\n>>>>v...-v\n^...v....v\n^<=<<<<<<<\n0 0\n",
"7 17\n>>>>..v>>v\n...v..^..v\nv..]>>>>>>\n.........v\nv...<<<<v.\n.v.v.^...v\n.v.v.<^<<<\nv.....v.v.\n.v...^...v\n.?>.>^..>/\n3 10\n>>>>>>>>>v\nv.........\n.........v\n>>>>v...-v\n^...v....v\n^<=<<<<<<<\n0 0\n"
] |
[
"3 0\n",
"LOOP\n",
"LOOP\nLOOP\n",
"0 1\nLOOP\n",
"0 1\n9 1\n",
"0 1\n",
"2 9\nLOOP\n",
"0 1\n0 1\n",
"LOOP\n9 1\n",
"4 0\n"
] |
CodeContests
|
The link to the Russian translation.
Stefan is stuck in Marty's body and in order to fix him, Valerie has encountered a problem with dead witches spirits.
In order to allow her to do such magic, the witches gave her a huge grid (10^18 by 10^18, rows numbered from 1 to 10^18, from top to bottom and columns from left to right), some cells containing a non-negative integer and others are empty. They want to know if they can fill the empty cells, each with a non-negative integer such that after that, each two neighboring cells (sharing a side) have values with different parities.
Valerie is not a math pro (but very powerful witch), so she asked for your help.
Input
The first line of input, contains a single integer T, the number of scenarios (1 ≤ T ≤ 10). The next T blocks of lines, each contains one scenario.
For each scenario:
The first line contains integer n, the number of non-empty cells (1 ≤ n ≤ 10000). The next n lines contain their information. Each of them contains three integers r, c and x meaning the cell in c-th column of r-th row contains value x (1 ≤ r, c, x ≤ 10^18). It's guaranteed that all these cells are distinct.
Output
For each scenario, print "Yes" if it's possible to fill the empty cells and "No" otherwise, in one line (without quotes).
SAMPLE INPUT
3
2
5 4 2
1 5 2
5
1 4 4
3 1 2
1 2 5
3 3 3
1 1 1
5
1 4 1
4 1 1
5 2 5
2 5 3
5 3 4
SAMPLE OUTPUT
No
No
Yes
|
stdin
| null | 3,706 | 1 |
[
"3\n2\n5 4 2\n1 5 2\n5\n1 4 4\n3 1 2\n1 2 5\n3 3 3\n1 1 1\n5\n1 4 1\n4 1 1\n5 2 5\n2 5 3\n5 3 4\n\nSAMPLE\n"
] |
[
"No\nNo\nYes\n"
] |
[
"3\n2\n5 4 2\n1 5 2\n5\n1 4 4\n3 1 2\n1 2 7\n3 3 3\n1 1 1\n5\n1 4 1\n4 1 1\n5 2 5\n2 5 3\n5 3 4\n\nSAMPLE\n",
"3\n2\n5 4 2\n1 5 2\n5\n1 4 4\n3 1 2\n1 2 7\n3 3 3\n1 1 0\n5\n1 5 1\n4 1 1\n5 2 5\n2 5 3\n5 3 4\n\nSAMPME\n",
"3\n2\n5 4 2\n1 5 2\n5\n1 4 4\n3 2 2\n1 5 7\n3 3 3\n1 1 1\n5\n1 4 1\n1 1 1\n5 2 5\n2 5 3\n5 3 6\n\nSAMPLE\n",
"3\n2\n5 4 2\n1 5 1\n5\n2 4 4\n3 1 2\n1 2 5\n3 3 3\n1 1 1\n5\n1 4 1\n4 1 1\n5 2 5\n2 5 3\n5 3 4\n\nSAMPLE\n",
"3\n2\n5 4 2\n1 5 1\n5\n2 4 4\n3 1 2\n1 2 5\n3 2 3\n2 1 1\n5\n1 4 1\n4 1 1\n5 2 5\n2 5 3\n7 3 4\n\nSAMPLE\n",
"3\n2\n5 4 2\n1 5 2\n5\n1 4 4\n6 1 2\n1 5 7\n3 3 3\n1 1 1\n5\n1 4 1\n4 1 1\n5 2 5\n2 5 3\n5 3 4\n\nSAMPLE\n",
"3\n2\n5 4 3\n1 5 2\n5\n1 4 4\n3 2 2\n1 5 7\n3 3 3\n1 1 1\n2\n1 4 1\n1 1 1\n5 2 5\n2 5 3\n1 3 6\n\nSAMPLE\n",
"3\n2\n5 4 2\n1 5 1\n5\n2 4 4\n3 1 2\n1 2 5\n3 3 3\n1 1 1\n5\n1 4 1\n4 1 1\n5 2 5\n1 5 3\n5 3 4\n\nSEMPLA\n",
"3\n2\n5 4 2\n1 5 2\n5\n1 4 4\n3 1 2\n1 2 7\n3 3 3\n1 1 0\n5\n1 4 1\n4 1 1\n5 2 5\n2 5 3\n5 3 4\n\nSAMPLE\n",
"3\n2\n5 4 2\n1 5 2\n5\n1 4 4\n3 1 2\n1 2 7\n3 3 3\n1 1 0\n5\n1 4 1\n4 1 1\n5 2 5\n2 5 3\n5 3 4\n\nSAMPME\n"
] |
[
"No\nNo\nYes\n",
"No\nNo\nNo\n",
"No\nYes\nNo\n",
"Yes\nNo\nYes\n",
"Yes\nYes\nYes\n",
"No\nYes\nYes\n",
"Yes\nYes\nNo\n",
"Yes\nNo\nNo\n",
"No\nNo\nYes\n",
"No\nNo\nYes\n"
] |
CodeContests
|
Dr .: Peter, I've finally done it.
Peter: What's wrong, Dr. David? Is it a silly invention again?
Dr .: This table, this table.
| Character | Sign
--- | ---
(Blank) | 101
'| 000000
, | 000011
-| 10010001
. | 010001
? | 000001
A | 100101
B | 10011010
| Character | Sign
--- | ---
C | 0101
D | 0001
E | 110
F | 01001
G | 10011011
H | 010000
I | 0111
J | 10011000
| Character | Sign
--- | ---
K | 0110
L | 00100
M | 10011001
N | 10011110
O | 00101
P | 111
Q | 10011111
R | 1000
| Character | Sign
--- | ---
S | 00110
T | 00111
U | 10011100
V | 10011101
W | 000010
X | 10010010
Y | 10010011
Z | 10010000
Peter: What? This table is.
Dr .: Okay, just do what you say. First, write your name on a piece of paper.
Peter: Yes, "PETER POTTER".
Dr .: Then, replace each character with the "code" in this table.
Peter: Well, change "P" to "111" and "E" to "110" ... It's quite annoying.
111 110 00111 110 1000 101 111 00101 00111 00111 110 1000
became. It looks like a barcode.
Dr .: All right. Then connect all the replaced strings and separate them by 5 characters.
Peter: Yes, if you connect and separate.
11111 00011 11101 00010 11110 01010 01110 01111 10100 0
It turned out to be something like this. But what about the last "0" guy?
Dr .: Add 0 to make it 5 letters.
Peter: Well, there is only one 0 at the end, so I should add four more 0s. I was able to do it.
11111 00011 11101 00010 11110 01010 01110 01111 10100 00000
Dr .: Next, use this table.
| Sign | Character
--- | ---
00000 | A
00001 | B
00010 | C
00011 | D
00100 | E
00101 | F
00110 | G
00111 | H
| Sign | Character
--- | ---
01000 | I
01001 | J
01010 | K
01011 | L
01100 | M
01101 | N
01110 | O
01111 | P
| Sign | Character
--- | ---
10000 | Q
10001 | R
10010 | S
10011 | T
10100 | U
10101 | V
10110 | W
10111 | X
| Sign | Character
--- | ---
11000 | Y
11001 | Z
11010 | (blank)
11011 | ..
11100 |,
11101 |-
11110 |'
11111 |?
Peter: How do you use this ... yeah! Now you're going to replace the code with a letter!
Dr .: That's right. If it is "11111", go to "?", If it is "00011", go to "D".
Peter: This is simple ... well, it became "? D-C'KOPUA". But it doesn't make sense.
Dr .: Count the number of characters.
Peter: It's 10 characters. Oh, "PETER POTTER" was 12 characters, but 2 characters are reduced.
Dr .: Yes, you can use this table to reduce the number of letters. Now do the same thing in this sentence.
PETER PIPER PICKED A PECK OF PICKLED PEPPERS. A PECK OF PICKLED PEPPERS
PETER PIPER PICKED. IF PETER PIPER PICKED A PECK OF PICKLED PEPPERS, WHERE'S
THE PECK OF PICKLED PEPPERS PETER PIPER PICKED?
Peter: Gyogyo, the lines are separated, what do you do?
Dr .: Due to space limitations, there are only 3 lines, but think of it as a long line with a space instead of a newline character.
Peter: Yes, yes. There is a blank space between the lines. But it's a hassle ...
Dr .: Then why not let the program do it?
So, instead of Peter, create a program that converts the read character string into a code and outputs it.
input
Given multiple datasets. Each dataset is given a line of strings (consisting of the characters contained in the table). The string contains at least 1 and no more than 100 characters.
The number of datasets does not exceed 200.
output
For each data set, output the converted character string on one line.
Example
Input
PETER POTTER
Output
?D-C'KOPUA
|
stdin
| null | 976 | 1 |
[
"PETER POTTER\n"
] |
[
"?D-C'KOPUA\n"
] |
[
"PETER POTTRE\n",
"RETEP POTTRE\n",
"RETEP PNTTRE\n",
"REETP PNTTRE\n",
"REETP PMTTRE\n",
"RETEP PMTTRE\n",
"RETEP PRTTME\n",
"RETEP TRTPME\n",
"EETRP TRTPME\n",
"EETRP TRTPNE\n"
] |
[
"?D-C'KOPDA\n",
"RR'''KOPDA\n",
"RR''?HRZ,M\n",
"RWH'?HRZ,M\n",
"RWH'?GJZ,M\n",
"RR''?GJZ,M\n",
"RR''?A,'M,\n",
"RR''TYH'M,\n",
".DY'TYH'M,\n",
".DY'TYH'PM\n"
] |
CodeContests
|
A string is said to be complete if it contains all the characters from a to z. Given a string, check if it complete or not.
Input
First line of the input contains the number of strings N. It is followed by N lines each contains a single string.
Output
For each test case print "YES" if the string is complete, else print "NO"
Constraints
1 ≤ N ≤ 10
The length of the string is at max 100 and the string contains only the characters a to z
SAMPLE INPUT
3
wyyga
qwertyuioplkjhgfdsazxcvbnm
ejuxggfsts
SAMPLE OUTPUT
NO
YES
NO
|
stdin
| null | 2,115 | 1 |
[
"3\nwyyga\nqwertyuioplkjhgfdsazxcvbnm\nejuxggfsts\n\nSAMPLE\n"
] |
[
"NO\nYES\nNO\n"
] |
[
"10\nkpfoprikyfnjhmeuppwkxzrslbvqgvoxoeqgkczupwhdttloiffxqatisbakmmzplbekbkhimzngztepnbvbowvbzhi\nyfzhcbwfqykgavgehuknxrghaztlhkbydqazaxrtposuhrymomtbaxu\njrwphsrtharqrkucjdavkjvjecctqjhlatfpkdftfshfxwxpehwhvjwohkykyxurijxknhhmin\nsubbuqhhjhtvklyyuusaidgqrivvrietjukkx\ncgtgfitvwrycvhtbsetrjwjgapbjvfavdehngfgmcogigwdjwyszuyaykzfpfdycaugwqak\nlbwcoajehkvpui\nxoypkdsyvarvmmv\nriclm\nynqyedkzgnvbjklhlf\nqxjnoehbseukefawgyhvssa\n",
"3\nagyyw\nqwertyuioplkjhgfdsazxcvbnm\nejuxggfsts\n\nSAMPLE\n",
"3\nagyyw\nqvertyuioplkjhgfdsazxcvbnm\njeuxggfsts\n\nSAMPLE\n",
"10\nkpfoprikyfnjhmeuppwkxbrslbvqgvoxoeqgkdzupwhdttloiffxqatisbakmmzplbekbkhimzngztepnbvbowvzzhi\nuxabtmomyrhusoptrxazaqdybkhltzahgrxnkuhegvagkyqfwbchzfy\nnimhhnkxjiruwykykhowjvhwhepxwxfhsftfdkpftalhjqtccejvjkvadjcukrqrahtrshpwrj\nsubbuqhhjhtvklyyuusaidgqrivvrietjukkx\nkaqwguacydfpfzkyayuzsywjdwgigocmgfgnhedvafvjbpagjwjrtesbthvcxrwvtifgtgc\niuqvkhejaocwbl\nxoypkdsyvarvmmv\nsidlm\nynqyedkzgnvbjklhlf\nqxjkoehbsevnefawgyhvssa\n",
"10\nkpfoprikyfnjhmeuppwkxzrslbvqgvoxoeqgkczupwhdttloiffxqatisbakmmzplbekbkhimzngztepnbvbowvbzhi\nyfzhcbwfqykgavgehuknxrghaztlhkbydqazaxrtposuhrymomtbaxu\njrwphsrtharqrkucjdavkjvjecctqjhlatfpkdftfshfxwxpehwhvjwohkykyxurijxknhhmin\nsubbuqhhjhtvklyyuusaidgqrivvrietjukkx\ncgtgfitvwrycvhtbsetrjwjgapbjvfavdehngfgmcogigwdjwyszuyaykzfpfdycaugwqak\nlbwcoajehkvpui\nxoypkdsyvarvmmv\nridlm\nynqyedkzgnvbjklhlf\nqxjnoehbseukefawgyhvssa\n",
"3\nagyyw\nqwertyuioplkjhgfdsazxcvbnm\njeuxggfsts\n\nSAMPLE\n",
"10\nkpfoprikyfnjhmeuppwkxzrslbvqgvoxoeqgkczupwhdttloiffxqatisbakmmzplbekbkhimzngztepnbvbowvbzhi\nyfzhcbwfqykgavgehuknxrghaztlhkbydqazaxrtposuhrymomtbaxu\njrwphsrtharqrkucjdavkjvjecctqjhlatfpkdftfshfxwxpehwhvjwohkykywurijxknhhmin\nsubbuqhhjhtvklyyuusaidgqrivvrietjukkx\ncgtgfitvwrycvhtbsetrjwjgapbjvfavdehngfgmcogigwdjwyszuyaykzfpfdycaugwqak\nlbwcoajehkvpui\nxoypkdsyvarvmmv\nridlm\nynqyedkzgnvbjklhlf\nqxjnoehbseukefawgyhvssa\n",
"10\nkpfoprikyfnjhmeuppwkxzrslbvqgvoxoeqgkczupwhdttloiffxqatisbakmmzplbekbkhimzngztepnbvbowvbzhi\nyfzhcbwfqykgavgehuknxrghaztlhkbydqazaxrtposuhrymomtbaxu\njrwphsrtharqrkucjdavkjvjecctqjhlatfpkdftfshfxwxpehwhvjwohkykywurijxknhhmin\nsubbuqhhjhtvklyyuusaidgqrivvrietjukkx\ncgtgfitvwrycvhtbsetrjwjgapbjvfavdehngfgmcogigwdjwyszuyaykzfpfdycaugwqak\niupvkhejaocwbl\nxoypkdsyvarvmmv\nridlm\nynqyedkzgnvbjklhlf\nqxjnoehbseukefawgyhvssa\n",
"3\nagyyw\nqvertyuioplkjhgfdsazxcvbnm\njeuxggfsus\n\nSAMPLE\n",
"10\nkpfoprikyfnjhmeuppwkxzrslbvqgvoxoeqgkczupwhdttloiffxqatisbakmmzplbekbkhimzngztepnbvbowvbzhi\nyfzhcbwfqykgavgehuknxrghaztlhkbydqazaxrtposuhrymomtbaxu\njrwphsrtharqrkucjdavkjvjecctqjhlatfpkdftfshfxwxpehwhvjwohkykywurijxknhhmin\nsubbuqhhjhtvklyyuusaidgqrivvrietjukkx\ncgtgfitvwrycvhtbsetrjwjgapbjvfavdehngfgmcogigwdjwyszuyaykzfpfdycaugwqak\niupvkhejaocwbl\nxoypkdsyvarvmmv\nsidlm\nynqyedkzgnvbjklhlf\nqxjnoehbseukefawgyhvssa\n"
] |
[
"YES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n",
"NO\nYES\nNO\n",
"NO\nNO\nNO\n",
"NO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n",
"YES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n",
"NO\nYES\nNO\n",
"YES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n",
"YES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n",
"NO\nNO\nNO\n",
"YES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n"
] |
CodeContests
|
We have an N×N checkerboard.
From the square at the upper left corner, a square that is i squares to the right and j squares below is denoted as (i, j). Particularly, the square at the upper left corner is denoted as (0, 0).
Each square (i, j) such that i+j is even, is colored black, and the other squares are colored white.
We will satisfy the following condition by painting some of the white squares:
* Any black square can be reached from square (0, 0) by repeatedly moving to a black square that shares a side with the current square.
Achieve the objective by painting at most 170000 squares black.
Constraints
* 1 \leq N \leq 1,000
Input
The input is given from Standard Input in the following format:
N
Output
Print the squares to paint in the following format:
K
x_1 y_1
x_2 y_2
:
x_K y_K
This means that a total of K squares are painted black, the i-th of which is (x_i, y_i).
Judging
The output is considered correct only if all of the following conditions are satisfied:
* 0 \leq K \leq 170000
* 0 \leq x_i, y_i \leq N-1
* For each i, x_i + y_i is odd.
* If i \neq j, then (x_i, y_i) \neq (x_j, y_j).
* The condition in the statement is satisfied by painting all specified squares.
Examples
Input
2
Output
1
1 0
Input
4
Output
3
0 1
2 1
2 3
|
stdin
| null | 4,668 | 1 |
[
"2\n",
"4\n"
] |
[
"1\n1 0\n",
"3\n0 1\n2 1\n2 3\n"
] |
[
"0\n",
"3\n",
"-1\n",
"-2\n",
"1\n",
"-4\n",
"-3\n",
"-5\n",
"-8\n",
"-7\n"
] |
[
"0\n",
"4\n0 1\n1 0\n1 2\n2 1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n"
] |
CodeContests
|
Trees are sometimes represented in the form of strings. Here is one of the most popular ways to represent unlabeled trees:
* Leaves are represented by "()".
* Other nodes (i.e. internal nodes) are represented by "( S1 S2 ... Sn )", where Si is the string representing the i-th subnode.
For example, the tree depicted in the figure below is represented by a string "((()())())".
<image>
A strange boy Norward is playing with such strings. He has found that a string sometimes remains valid as the representation of a tree even after one successive portion is removed from it. For example, removing the underlined portion from the string "((()())())" results in "((()))", which represents the tree depicted below.
<image>
However, he has no way to know how many ways of such removal there are. Your task is to write a program for it, so that his curiosity is fulfilled.
Input
The input contains a string that represents some unlabeled tree. The string consists of up to 100,000 characters.
Output
Print the number of portions of the given string such that removing them results in strings that represent other valid trees.
Example
Input
((()())())
Output
10
|
stdin
| null | 665 | 1 |
[
"((()())())\n"
] |
[
"10\n"
] |
[
"((())()())\n",
"(((()())))\n",
"((())(()))\n",
"(((()))())\n",
"((((()))))\n",
"(()()()())\n",
"(((*)()())\n",
"(()(())())\n",
"(()((())))\n",
"(()()(()))\n"
] |
[
"12\n",
"6\n",
"10\n",
"7\n",
"4\n",
"16\n",
"12\n",
"12\n",
"7\n",
"12\n"
] |
CodeContests
|
Given are two strings s and t consisting of lowercase English letters. Determine if the number of non-negative integers i satisfying the following condition is finite, and find the maximum value of such i if the number is finite.
* There exists a non-negative integer j such that the concatenation of i copies of t is a substring of the concatenation of j copies of s.
Constraints
* 1 \leq |s| \leq 5 \times 10^5
* 1 \leq |t| \leq 5 \times 10^5
* s and t consist of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
t
Output
If the number of non-negative integers i satisfying the following condition is finite, print the maximum value of such i; if the number is infinite, print `-1`.
Examples
Input
abcabab
ab
Output
3
Input
aa
aaaaaaa
Output
-1
Input
aba
baaab
Output
0
|
stdin
| null | 4,934 | 1 |
[
"aa\naaaaaaa\n",
"aba\nbaaab\n",
"abcabab\nab\n"
] |
[
"-1\n",
"0\n",
"3\n"
] |
[
"aa\nabaaaaa\n",
"abcaabb\nab\n",
"aba\naaaab\n",
"aa\naaaaaba\n",
"aba\naa`ab\n",
"accaabb\nab\n",
"ab\naaaaaba\n",
"`ba\naa`ab\n",
"acdaabb\nab\n",
"ab\nabaaaaa\n"
] |
[
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"0\n"
] |
CodeContests
|
Write a program which manipulates a sequence $A$ = {$a_0, a_1, ..., a_{n-1}$} with the following operations:
* $add(s, t, x)$ : add $x$ to $a_s, a_{s+1}, ..., a_t$.
* $find(s, t)$ : report the minimum value in $a_s, a_{s+1}, ..., a_t$.
Note that the initial values of $a_i ( i = 0, 1, ..., n-1 )$ are 0.
Constraints
* $1 ≤ n ≤ 100000$
* $1 ≤ q ≤ 100000$
* $0 ≤ s ≤ t < n$
* $-1000 ≤ x ≤ 1000$
Input
$n$ $q$
$query_1$
$query_2$
:
$query_q$
In the first line, $n$ (the number of elements in $A$) and $q$ (the number of queries) are given. Then, $i$th query $query_i$ is given in the following format:
0 $s$ $t$ $x$
or
1 $s$ $t$
The first digit represents the type of the query. '0' denotes $add(s, t, x)$ and '1' denotes $find(s, t)$.
Output
For each $find$ query, print the minimum value.
Example
Input
6 7
0 1 3 1
0 2 4 -2
1 0 5
1 0 1
0 3 5 3
1 3 4
1 0 5
Output
-2
0
1
-1
|
stdin
| null | 2,227 | 1 |
[
"6 7\n0 1 3 1\n0 2 4 -2\n1 0 5\n1 0 1\n0 3 5 3\n1 3 4\n1 0 5\n"
] |
[
"-2\n0\n1\n-1\n"
] |
[
"6 7\n0 1 3 1\n0 2 4 -2\n1 0 5\n1 0 1\n0 1 5 3\n1 3 4\n1 0 5\n",
"6 7\n0 0 3 1\n0 2 4 -2\n1 0 5\n1 0 1\n0 3 5 3\n1 3 4\n1 0 5\n",
"6 7\n0 1 3 1\n0 2 4 0\n1 0 5\n1 0 1\n0 3 5 3\n1 3 4\n1 0 5\n",
"6 7\n0 0 6 1\n0 2 4 -2\n1 0 5\n1 0 1\n0 3 5 3\n1 3 4\n1 0 5\n",
"6 11\n0 0 6 1\n0 2 4 -2\n1 0 5\n1 0 1\n0 3 5 3\n1 3 4\n1 0 5\n",
"6 6\n0 1 3 1\n0 2 8 -2\n1 1 5\n1 0 1\n0 1 5 3\n1 3 4\n1 0 5\n",
"6 11\n0 0 6 1\n0 1 4 -2\n1 0 5\n1 0 1\n0 3 5 3\n1 3 4\n1 0 5\n",
"6 7\n0 1 3 1\n0 2 4 -2\n1 0 10\n1 0 1\n0 3 5 3\n1 4 4\n1 0 3\n",
"6 7\n0 0 3 1\n0 2 4 -2\n1 0 5\n1 0 1\n0 3 0 3\n1 3 4\n1 0 5\n",
"6 12\n0 0 3 1\n0 2 4 -2\n1 0 5\n1 0 1\n0 3 5 3\n1 4 4\n1 0 5\n"
] |
[
"-2\n0\n1\n0\n",
"-2\n1\n1\n-1\n",
"0\n0\n3\n0\n",
"-1\n1\n2\n-1\n",
"-1\n1\n2\n-1\n-1\n-1\n-1\n-1\n",
"-2\n0\n1\n",
"-1\n-1\n2\n-1\n-1\n-1\n-1\n-1\n",
"-2\n0\n1\n-1\n",
"-2\n1\n-2\n-2\n",
"-2\n1\n1\n-1\n-1\n-1\n-1\n-1\n-1\n"
] |
CodeContests
|
Equilateral Triangular Fence
Ms. Misumi owns an orchard along a straight road. Recently, wild boars have been witnessed strolling around the orchard aiming at pears, and she plans to construct a fence around many of the pear trees.
The orchard contains n pear trees, whose locations are given by the two-dimensional Euclidean coordinates (x1, y1),..., (xn, yn). For simplicity, we neglect the thickness of pear trees. Ms. Misumi's aesthetic tells that the fence has to form a equilateral triangle with one of its edges parallel to the road. Its opposite apex, of course, should be apart from the road. The coordinate system for the positions of the pear trees is chosen so that the road is expressed as y = 0, and the pear trees are located at y ≥ 1.
Due to budget constraints, Ms. Misumi decided to allow at most k trees to be left outside of the fence. You are to find the shortest possible perimeter of the fence on this condition.
The following figure shows the first dataset of the Sample Input. There are four pear trees at (−1,2), (0,1), (1,2), and (2,1). By excluding (−1,2) from the fence, we obtain the equilateral triangle with perimeter 6.
<image>
Input
The input consists of multiple datasets, each in the following format.
> n
> k
> x1 y1
> ...
> xn yn
>
Each of the datasets consists of n+2 lines. n in the first line is the integer representing the number of pear trees; it satisfies 3 ≤ n ≤ 10 000. k in the second line is the integer representing the number of pear trees that may be left outside of the fence; it satisfies 1 ≤ k ≤ min(n−2, 5 000). The following n lines have two integers each representing the x- and y- coordinates, in this order, of the locations of pear trees; it satisfies −10 000 ≤ xi ≤ 10 000, 1 ≤ yi ≤ 10 000. No two pear trees are at the same location, i.e., (xi, yi)=(xj, yj) only if i=j.
The end of the input is indicated by a line containing a zero. The number of datasets is at most 100.
Output
For each dataset, output a single number that represents the shortest possible perimeter of the fence. The output must not contain an error greater than 10−6.
Sample Input
4
1
0 1
1 2
-1 2
2 1
4
1
1 1
2 2
1 3
1 4
4
1
1 1
2 2
3 1
4 1
4
1
1 2
2 1
3 2
4 2
5
2
0 1
0 2
0 3
0 4
0 5
6
3
0 2
2 2
1 1
0 3
2 3
1 4
0
Output for the Sample Input
6.000000000000
6.928203230276
6.000000000000
7.732050807569
6.928203230276
6.000000000000
Example
Input
4
1
0 1
1 2
-1 2
2 1
4
1
1 1
2 2
1 3
1 4
4
1
1 1
2 2
3 1
4 1
4
1
1 2
2 1
3 2
4 2
5
2
0 1
0 2
0 3
0 4
0 5
6
3
0 2
2 2
1 1
0 3
2 3
1 4
0
Output
6.000000000000
6.928203230276
6.000000000000
7.732050807569
6.928203230276
6.000000000000
|
stdin
| null | 2,533 | 1 |
[
"4\n1\n0 1\n1 2\n-1 2\n2 1\n4\n1\n1 1\n2 2\n1 3\n1 4\n4\n1\n1 1\n2 2\n3 1\n4 1\n4\n1\n1 2\n2 1\n3 2\n4 2\n5\n2\n0 1\n0 2\n0 3\n0 4\n0 5\n6\n3\n0 2\n2 2\n1 1\n0 3\n2 3\n1 4\n0\n"
] |
[
"6.000000000000\n6.928203230276\n6.000000000000\n7.732050807569\n6.928203230276\n6.000000000000\n"
] |
[
"4\n1\n0 1\n1 2\n-1 2\n2 1\n4\n1\n1 1\n2 2\n1 3\n1 4\n4\n1\n1 1\n2 2\n3 1\n4 1\n4\n1\n1 2\n2 1\n3 2\n4 3\n5\n2\n0 1\n0 2\n0 3\n0 4\n0 5\n6\n3\n0 2\n2 2\n1 1\n0 3\n2 3\n1 4\n0\n",
"4\n1\n0 1\n1 2\n-1 2\n2 1\n4\n1\n1 1\n2 2\n1 3\n1 4\n4\n1\n1 1\n1 2\n3 1\n4 1\n4\n1\n1 2\n2 1\n3 2\n4 3\n5\n2\n0 1\n0 2\n0 3\n0 4\n0 5\n6\n3\n0 2\n2 2\n1 1\n0 3\n2 3\n1 4\n0\n",
"4\n1\n0 1\n1 2\n-1 2\n2 1\n4\n1\n1 1\n2 2\n1 3\n1 4\n4\n2\n1 1\n1 2\n3 1\n4 1\n4\n1\n1 2\n2 1\n3 2\n4 3\n5\n2\n0 1\n0 2\n0 3\n0 4\n1 5\n6\n3\n0 2\n2 2\n1 1\n0 3\n2 3\n1 4\n0\n",
"4\n1\n0 1\n1 2\n-1 2\n2 1\n4\n1\n1 1\n2 2\n1 3\n1 4\n4\n2\n1 1\n1 2\n3 1\n4 1\n4\n1\n1 2\n2 1\n3 2\n4 3\n5\n2\n0 2\n0 2\n0 3\n0 4\n1 5\n6\n3\n0 2\n2 2\n1 1\n0 3\n2 3\n1 4\n0\n",
"4\n1\n0 1\n1 2\n-1 2\n2 1\n4\n1\n1 1\n2 2\n1 3\n1 4\n4\n2\n1 1\n1 2\n3 1\n4 1\n4\n1\n1 2\n2 1\n3 2\n4 3\n5\n2\n0 2\n0 2\n0 3\n0 4\n1 5\n6\n3\n0 2\n2 2\n1 1\n0 4\n2 3\n1 4\n0\n",
"4\n1\n0 1\n1 2\n-1 3\n2 1\n4\n2\n1 1\n2 2\n1 3\n1 4\n4\n2\n1 1\n1 2\n3 1\n4 1\n4\n1\n1 2\n2 1\n3 2\n4 3\n5\n2\n0 2\n0 2\n0 3\n-1 4\n1 5\n6\n3\n0 2\n2 2\n1 1\n0 4\n2 3\n1 4\n0\n",
"4\n1\n0 1\n1 2\n-1 3\n2 1\n4\n2\n1 1\n2 2\n1 3\n1 4\n4\n2\n1 1\n1 2\n3 1\n4 1\n4\n1\n1 2\n2 1\n3 2\n4 3\n5\n2\n0 2\n0 2\n0 3\n-1 4\n1 5\n6\n3\n0 2\n2 2\n1 1\n0 2\n2 3\n1 4\n0\n",
"4\n1\n0 1\n1 2\n-1 3\n2 1\n4\n2\n1 1\n2 2\n1 3\n1 4\n4\n2\n1 1\n1 2\n3 1\n4 1\n4\n1\n1 2\n2 1\n3 2\n4 3\n5\n2\n0 2\n0 2\n-1 3\n-1 4\n1 5\n6\n3\n0 2\n2 2\n1 1\n0 2\n2 3\n1 4\n0\n",
"4\n1\n0 1\n1 2\n-1 3\n2 1\n4\n2\n1 1\n2 2\n1 3\n1 4\n4\n2\n1 1\n1 2\n3 1\n4 1\n4\n1\n1 4\n2 1\n3 2\n4 3\n5\n2\n0 2\n1 2\n-1 3\n-1 4\n1 5\n6\n3\n0 2\n2 2\n1 1\n0 2\n2 3\n1 4\n0\n",
"4\n1\n0 1\n1 2\n-1 3\n2 1\n4\n2\n1 1\n2 2\n1 3\n1 4\n4\n2\n1 1\n2 2\n3 0\n4 1\n4\n1\n1 4\n2 1\n3 2\n4 3\n5\n2\n0 2\n1 2\n-1 3\n-1 4\n1 5\n6\n3\n0 2\n2 2\n1 1\n0 2\n2 3\n1 4\n0\n"
] |
[
"6.0000000\n6.9282032\n6.0000000\n9.4641016\n6.9282032\n6.0000000\n",
"6.0000000\n6.9282032\n7.7320508\n9.4641016\n6.9282032\n6.0000000\n",
"6.0000000\n6.9282032\n3.0000000\n9.4641016\n6.9282032\n6.0000000\n",
"6.0000000\n6.9282032\n3.0000000\n9.4641016\n3.4641016\n6.0000000\n",
"6.0000000\n6.9282032\n3.0000000\n9.4641016\n3.4641016\n6.9282032\n",
"6.0000000\n3.4641016\n3.0000000\n9.4641016\n3.4641016\n6.9282032\n",
"6.0000000\n3.4641016\n3.0000000\n9.4641016\n3.4641016\n4.7320508\n",
"6.0000000\n3.4641016\n3.0000000\n9.4641016\n4.7320508\n4.7320508\n",
"6.0000000\n3.4641016\n3.0000000\n9.4641016\n6.9282032\n4.7320508\n",
"6.0000000\n3.4641016\n4.7320508\n9.4641016\n6.9282032\n4.7320508\n"
] |
CodeContests
|
A shop sells N kinds of fruits, Fruit 1, \ldots, N, at prices of p_1, \ldots, p_N yen per item, respectively. (Yen is the currency of Japan.)
Here, we will choose K kinds of fruits and buy one of each chosen kind. Find the minimum possible total price of those fruits.
Constraints
* 1 \leq K \leq N \leq 1000
* 1 \leq p_i \leq 1000
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
p_1 p_2 \ldots p_N
Output
Print an integer representing the minimum possible total price of fruits.
Examples
Input
5 3
50 100 80 120 80
Output
210
Input
1 1
1000
Output
1000
|
stdin
| null | 451 | 1 |
[
"1 1\n1000\n",
"5 3\n50 100 80 120 80\n"
] |
[
"1000\n",
"210\n"
] |
[
"5 3\n50 000 80 120 80\n",
"5 3\n83 000 80 120 80\n",
"5 3\n83 010 80 120 80\n",
"5 3\n83 000 80 120 99\n",
"5 3\n83 000 16 120 99\n",
"2 3\n83 001 16 120 99\n",
"1 0\n1000\n",
"5 3\n50 100 80 120 150\n",
"5 3\n28 000 80 120 80\n",
"5 3\n68 000 80 120 80\n"
] |
[
"130\n",
"160\n",
"170\n",
"163\n",
"99\n",
"100\n",
"0\n",
"230\n",
"108\n",
"148\n"
] |
CodeContests
|
Valentina is looking for a new game to play with her friends.
She asks her mom Marcia for an idea.
After a moment Marcia described to girls the following simple game.
Girls are divided into n teams, indexed 1 through n.
Each girl chooses a lowercase letter, one of 'a' - 'z'.
Of course, some girls can choose the same letter.
Then, Marcia, as a judge, shows a string s, consisting of lowercase letters.
For each letter in s, each girl with the same letter gets one point.
We define the score of a team as the total number of points of its members.
Your task is to find the winning team, determined according to the following rules:
The winning team is the one with the largest score.
In case of a tie between two or more teams, the one with the fewest members wins.
If there is still a tie between two or more teams then the one with the lowest index wins.
Given all the information about the game, find the index of the winning team.
Input format
The first line of the input contains one integer T denoting the number of test cases.
The first line of each test case description contains an integer n and a string s denoting the number of teams and a string showed by Marcia.
The i-th of the next n lines contains one non-empty string containing letters chosen by girls in the i-th team.
The length of a string is equal to the number of members in a team.
All strings in the input consist of lowercase letters only.
Output format
For each test case, output a single line containing the 1-based index of the winning team.
Constraints
1 ≤ T ≤ 10
2 ≤ n ≤ 10\,000
1 ≤ |s| ≤ 100\,000
1 ≤ \text{size of a team} ≤ 10
SAMPLE INPUT
3
2 qwopwasp
wdw
abco
5 eeeessaa
valentina
esta
jugando
con
marcia
5 ahi
valentina
esta
jugando
con
susamigas
SAMPLE OUTPUT
1
2
1
Explanation
In the first sample test case, there are n = 2 teams.
The string showed by Marcia is s = \text{"qwopwasp"}.
There are two letters 'w' in s, so two points are given to every girl who has chosen a letter 'w'.
Team 1 has three members.
Two of them has chosen a letter 'w', and the other one has chosen a letter 'd'.
The two girls get two points each, but the other girl has zero points because a letter 'd' doesn't occur in s at all.
The score of team 1 is 2 + 2 = 4.
Team 2 has four members.
A girl who has chosen a letter 'a' gets one point, and so does a girl who has chosen a letter 'o'.
The score of team 2 is 1 + 1 = 2.
So, in the first sample test case there is no tie and team 1 clearly wins.
Stack Limit for C++ is 8MB. You are allowed to increase it in your code, e.g. using setrlimit().
|
stdin
| null | 4,571 | 1 |
[
"3\n2 qwopwasp\nwdw\nabco\n5 eeeessaa\nvalentina\nesta\njugando\ncon\nmarcia\n5 ahi\nvalentina\nesta\njugando\ncon\nsusamigas\n\nSAMPLE\n"
] |
[
"1\n2\n1\n"
] |
[
"3\n2 qwopwasp\nwdw\nabco\n5 eeeessaa\nvalentina\nesta\njugando\ncon\niarcma\n5 ahi\nvalentina\nesta\njugando\ncon\nsusamigas\n\nSAMPLE\n",
"3\n2 pswwpoaq\ndww\nacco\n5 eeeessaa\nanitnelav\netta\njugandn\noco\niarcmb\n5 ahi\nvalentina\naste\noandguj\ncon\nsusamigas\n\nSAMPLE\n",
"3\n2 qwopwasp\nwdw\nabco\n5 aatseeee\nvalentina\nesta\njuoandg\ncno\nmarcia\n5 ahi\nvalentina\nesta\njugando\nbon\nsusamihas\n\nSAMPLE\n",
"3\n2 psxvpoaq\ndww\nabco\n5 eeeessaa\nanitnelav\nesta\njugandn\noco\niacrmb\n5 ahi\nvalentina\netsa\noandguj\ncon\nsusamigas\n\nSAMPLE\n",
"3\n2 pswwpoaq\nwdx\nncba\n5 eeeessaa\nvaientlna\nesta\nnandguj\ncon\nbmcrai\n5 ahj\nvalentina\naste\noandguj\ncon\nsusamigas\n\nSAMPLE\n",
"3\n2 qwopwasp\nwdw\nabco\n5 eeeessaa\nvalemtina\nesta\njugando\ncon\nmarcia\n5 iha\nvalentjna\nesta\njugando\ncon\nsusamigas\n\nSAMPLE\n",
"3\n2 pswvpoaq\nwdx\nabco\n5 eeeessaa\nvaientlna\nesta\nnandguj\ncon\nbmcrai\n5 ahj\nvalentina\naste\noandguj\ncon\nsusamigas\n\nSAMPLE\n",
"3\n2 opwosvaq\ndww\nacbo\n5 eeeessaa\nanitnelav\nbuse\njugandn\ncpo\niacrmb\n5 ahi\nvalenthoa\netra\njugdnao\ncon\nsusamigas\n\nSAMPLE\n",
"3\n2 qwopwasp\nwdw\nbbod\n5 eeeessaa\nvtlanaine\ndsta\njuobndg\ncon\nmaaicr\n6 ihb\nvalentima\nesta\ndaupgnj\nnbn\nsusamigas\n\nASMPLE\n",
"3\n2 psxvpoaq\ndww\nabco\n5 eeedssaa\nanitnelav\nesta\njugandn\nodo\niacrmb\n5 agi\nvatenlina\naste\njugdnao\ncon\nsusamigas\n\nSAMPLE\n"
] |
[
"1\n2\n1\n",
"1\n1\n1\n",
"1\n1\n5\n",
"2\n2\n1\n",
"1\n2\n3\n",
"1\n2\n5\n",
"2\n2\n3\n",
"2\n1\n1\n",
"1\n1\n4\n",
"2\n2\n5\n"
] |
CodeContests
|
Takahashi is distributing N balls to K persons.
If each person has to receive at least one ball, what is the maximum possible difference in the number of balls received between the person with the most balls and the person with the fewest balls?
Constraints
* 1 \leq K \leq N \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N K
Output
Print the maximum possible difference in the number of balls received.
Examples
Input
3 2
Output
1
Input
3 1
Output
0
Input
8 5
Output
3
|
stdin
| null | 1,364 | 1 |
[
"8 5\n",
"3 1\n",
"3 2\n"
] |
[
"3\n",
"0\n",
"1\n"
] |
[
"9 5\n",
"4 2\n",
"2 2\n",
"14 5\n",
"2 3\n",
"0 3\n",
"14 3\n",
"1 3\n",
"14 6\n",
"-1 3\n"
] |
[
"4\n",
"2\n",
"0\n",
"9\n",
"-1\n",
"-3\n",
"11\n",
"-2\n",
"8\n",
"-4\n"
] |
CodeContests
|
Sona is in-charge of inviting the guest. She don't know how much far they are from her place. She knows the guest house co-ordinates (gx,gy)and the co-ordinates of the place where she is standing(sx,sy). Help her to calculate the distance between the guest house and her place.
Input
First line contains guest house co-odinates gx,gy and the second line contains Sona's coordinates sx,sy
Output
Print the distance and round off it to 5 digits
constraints
1< = gx,gy,sx,sy< = 10
SAMPLE INPUT
2 5
2 6
SAMPLE OUTPUT
1.00000
Explanation
Sona is in-charge of inviting the guest. She don't know how much far they are from her place. She knows the guest house co-ordinates and the co-ordinates of the place where she is standing. Help her to calculate the distance between the guest house and her place.
|
stdin
| null | 2,631 | 1 |
[
"2 5\n2 6\n\nSAMPLE\n"
] |
[
"1.00000\n"
] |
[
"4 5\n3 6\n",
"4 5\n2 6\n\nSAMPLE\n",
"4 5\n4 6\n\nSAMPLE\n",
"4 0\n3 6\n",
"4 0\n4 6\n",
"7 7\n4 6\n\nSAMPLE\n",
"4 0\n1 6\n",
"7 7\n4 10\n\nSAMPLE\n",
"4 0\n0 6\n",
"4 0\n0 0\n"
] |
[
"1.41421\n",
"2.23607\n",
"1.00000\n",
"6.08276\n",
"6.00000\n",
"3.16228\n",
"6.70820\n",
"4.24264\n",
"7.21110\n",
"4.00000\n"
] |
CodeContests
|
Peace, which was supposed to last forever, suddenly ended. The Demon King, who had been sealed long ago, has finally revived. But when the world was about to be covered in darkness, a brave man appeared. The hero then set out on a journey to collect legendary crystals scattered around the world. Legend has it that if you can collect all the crystals, you can summon the legendary dragon god who can fulfill any wish. With the help of the dragon god, it should be possible to defeat the Demon King.
Crystals are scattered all over the world. The hero needs to collect them one by one by his own hands. This is because if someone other than the hero gets the crystal, it may be stolen by the Demon King's minions. A hero can travel only one Euclidean distance per day.
But there is one serious problem here. The Demon King constantly disperses the darkness of the miasma, and the place contaminated with the miasma turns into a land of death that no one can enter. Even a brave man cannot enter the place. Furthermore, since the miasma spreads concentrically with time, the area where the hero can move decreases with the passage of time. Miasma has been confirmed to spread by an Euclidean distance of 1 per day. And the hero cannot take the crystal on the boundary line. We also know that the newly resurrected Demon King will not move to store power.
The hero must get the crystal as soon as possible. But if it's not possible to get all the crystals, you'll have to think of another way. Therefore, I would like you to create a program to find out if you can get all the crystals from the initial position of the hero, the place where the demon king was resurrected, and the position where the crystals exist.
By the way, the brave does not get tired. And I don't sleep. Keep moving and collect crystals until you collect all the crystals and save the world! !!
Input
The input consists of multiple test cases. The first line of each test case gives the five integers n (0 <n <= 20), hx, hy, dx, and dy. n is the number of crystals, (hx, hy) is the position of the hero at the moment the Demon King was resurrected, and (dx, dy) is the position where the Demon King was resurrected. The n lines that follow are given the two integers cx, cy, that represent the position of each crystal. Input ends when n = hx = hy = dx = dy = 0, which is not included in the test case.
All coordinates given in the input are guaranteed to be integers with an absolute value of 1000 or less.
Output
For each test case, output "YES" if you can collect all the crystals, and "NO" if not.
Example
Input
2 0 0 10 10
1 1
4 4
2 0 0 10 10
1 1
6 6
2 0 0 10 10
1 1
5 5
0 0 0 0 0
Output
YES
NO
NO
|
stdin
| null | 3,848 | 1 |
[
"2 0 0 10 10\n1 1\n4 4\n2 0 0 10 10\n1 1\n6 6\n2 0 0 10 10\n1 1\n5 5\n0 0 0 0 0\n"
] |
[
"YES\nNO\nNO\n"
] |
[
"2 0 0 10 10\n2 1\n4 4\n2 0 0 10 10\n1 1\n6 6\n2 0 0 10 10\n1 1\n5 5\n0 0 0 0 0\n",
"2 0 0 13 10\n2 1\n4 0\n2 0 0 10 18\n1 1\n6 6\n4 0 0 10 10\n1 1\n5 5\n0 0 0 0 0\n",
"2 0 0 10 10\n2 1\n4 0\n2 0 0 10 10\n1 1\n6 6\n2 0 0 15 10\n1 0\n5 5\n0 0 0 0 0\n",
"2 0 0 20 10\n1 1\n4 4\n0 0 0 12 10\n1 1\n6 6\n2 0 0 10 10\n1 1\n5 5\n0 0 0 0 0\n",
"2 0 0 10 10\n2 1\n4 0\n2 0 0 10 0\n1 1\n3 6\n2 0 0 15 10\n1 0\n5 5\n0 0 0 0 0\n",
"4 -1 0 10 10\n2 0\n4 0\n2 0 0 10 0\n1 1\n3 19\n2 0 0 15 8\n1 0\n5 10\n0 0 0 1 0\n",
"2 0 0 0 9\n2 1\n1 4\n2 0 1 10 3\n1 1\n6 6\n4 0 0 10 10\n1 1\n5 5\n0 0 0 -1 0\n",
"2 0 0 10 10\n2 1\n4 0\n2 0 0 10 10\n1 1\n6 6\n2 0 0 10 10\n1 1\n5 5\n0 0 0 0 0\n",
"2 0 0 10 10\n2 1\n4 0\n2 0 0 10 10\n1 1\n6 6\n4 0 0 10 10\n1 1\n5 5\n0 0 0 0 0\n",
"2 0 0 13 10\n2 1\n4 0\n2 0 0 10 10\n1 1\n6 6\n4 0 0 10 10\n1 1\n5 5\n0 0 0 0 0\n"
] |
[
"YES\nNO\nNO\n",
"YES\nYES\nNO\n",
"YES\nNO\nYES\n",
"YES\n",
"YES\nYES\nYES\n",
"NO\n",
"NO\nNO\nNO\n",
"YES\nNO\nNO\n",
"YES\nNO\nNO\n",
"YES\nNO\nNO\n"
] |
CodeContests
|
On an xy plane, in an area satisfying 0 ≤ x ≤ W, 0 ≤ y ≤ H, there is one house at each and every point where both x and y are integers.
There are unpaved roads between every pair of points for which either the x coordinates are equal and the difference between the y coordinates is 1, or the y coordinates are equal and the difference between the x coordinates is 1.
The cost of paving a road between houses on coordinates (i,j) and (i+1,j) is p_i for any value of j, while the cost of paving a road between houses on coordinates (i,j) and (i,j+1) is q_j for any value of i.
Mr. Takahashi wants to pave some of these roads and be able to travel between any two houses on paved roads only. Find the solution with the minimum total cost.
Constraints
* 1 ≦ W,H ≦ 10^5
* 1 ≦ p_i ≦ 10^8(0 ≦ i ≦ W-1)
* 1 ≦ q_j ≦ 10^8(0 ≦ j ≦ H-1)
* p_i (0 ≦ i ≦ W−1) is an integer.
* q_j (0 ≦ j ≦ H−1) is an integer.
Input
Inputs are provided from Standard Input in the following form.
W H
p_0
:
p_{W-1}
q_0
:
q_{H-1}
Output
Output an integer representing the minimum total cost.
Examples
Input
2 2
3
5
2
7
Output
29
Input
4 3
2
4
8
1
2
9
3
Output
60
|
stdin
| null | 4,310 | 1 |
[
"4 3\n2\n4\n8\n1\n2\n9\n3\n",
"2 2\n3\n5\n2\n7\n"
] |
[
"60\n",
"29\n"
] |
[
"4 3\n2\n6\n8\n1\n2\n9\n3\n",
"2 2\n3\n6\n2\n7\n",
"0 3\n2\n6\n8\n1\n2\n9\n3\n",
"2 2\n3\n9\n2\n7\n",
"0 3\n2\n6\n13\n1\n2\n9\n3\n",
"2 2\n3\n16\n2\n7\n",
"2 2\n3\n32\n2\n7\n",
"2 2\n0\n32\n2\n7\n",
"0 3\n1\n6\n8\n1\n2\n9\n0\n",
"2 2\n-1\n32\n2\n7\n"
] |
[
"64\n",
"31\n",
"16\n",
"35\n",
"21\n",
"42\n",
"58\n",
"50\n",
"15\n",
"47\n"
] |
CodeContests
|
Raccoon is fighting with a monster.
The health of the monster is H.
Raccoon can use N kinds of special moves. Using the i-th move decreases the monster's health by A_i. There is no other way to decrease the monster's health.
Raccoon wins when the monster's health becomes 0 or below.
If Raccoon can win without using the same move twice or more, print `Yes`; otherwise, print `No`.
Constraints
* 1 \leq H \leq 10^9
* 1 \leq N \leq 10^5
* 1 \leq A_i \leq 10^4
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
H N
A_1 A_2 ... A_N
Output
If Raccoon can win without using the same move twice or more, print `Yes`; otherwise, print `No`.
Examples
Input
10 3
4 5 6
Output
Yes
Input
20 3
4 5 6
Output
No
Input
210 5
31 41 59 26 53
Output
Yes
Input
211 5
31 41 59 26 53
Output
No
|
stdin
| null | 3,153 | 1 |
[
"211 5\n31 41 59 26 53\n",
"10 3\n4 5 6\n",
"20 3\n4 5 6\n",
"210 5\n31 41 59 26 53\n"
] |
[
"No\n",
"Yes\n",
"No\n",
"Yes\n"
] |
[
"211 5\n31 33 59 26 53\n",
"10 3\n4 4 6\n",
"20 3\n3 5 6\n",
"210 3\n31 41 59 26 53\n",
"211 5\n31 33 59 26 24\n",
"10 3\n4 0 6\n",
"20 3\n3 3 6\n",
"210 3\n31 55 59 26 53\n",
"211 9\n31 33 59 26 24\n",
"20 3\n4 0 6\n"
] |
[
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"Yes\n",
"No\n",
"No\n"
] |
CodeContests
|
On the Internet shopping site, on the same page as the product that the user is currently viewing, some other products that other users have bought in the past along with the product that they are currently viewing are displayed. It is believed that sales can be increased by presenting products that are considered to be highly relevant.
Similar things can be seen in local supermarkets (such as bread and jam) as a way to place items that are often bought together nearby. Your job is to write a program that will help you devise product placement. This time, I would like to set a certain standard number of times and find a combination of two products for which the number of times bought together is equal to or greater than the standard number of times.
When given the information of the products bought together and the standard number of times, create a program that outputs the combination of the two products bought together more than the standard number of times.
Input
The input is given in the following format.
N F
info1
info2
::
infoN
The first line gives the number of pieces of information N (1 ≤ N ≤ 100) and the reference number F (1 ≤ F ≤ 100) of the items bought together. The following N lines are given information on the products bought together. Information about the products bought together infoi is given in the following format.
M item1 item2 ... itemM
M (1 ≤ M ≤ 10) indicates how many products this information contains. itemj is the name of the item bought in this purchase and is a string of 1 to 30 length consisting of only lowercase letters. The same product is never given in infoi.
Output
The number of combinations of two products bought together more than the reference number of times is output on the first line, and all combinations are output on the second and subsequent lines. However, if there is no combination, nothing is output after the second line.
The output order is as follows after arranging the product names in the combination in the lexicographic order (the order in which the words are arranged in the English-Japanese dictionary).
* Compare the first product names, and the one with the earliest in lexicographic order comes first.
* If they are the same, compare the second product names and the lexicographic order comes first.
Separate product names with a single space, and separate product combinations with a single line break.
Examples
Input
5 2
3 bread milk banana
2 milk cornflakes
3 potato bread milk
4 cornflakes bread milk butter
2 potato bread
Output
3
bread milk
bread potato
cornflakes milk
Input
5 5
3 bread milk banana
2 milk cornflakes
3 potato bread milk
4 cornflakes bread milk butter
2 potato bread
Output
0
|
stdin
| null | 1,856 | 1 |
[
"5 5\n3 bread milk banana\n2 milk cornflakes\n3 potato bread milk\n4 cornflakes bread milk butter\n2 potato bread\n",
"5 2\n3 bread milk banana\n2 milk cornflakes\n3 potato bread milk\n4 cornflakes bread milk butter\n2 potato bread\n"
] |
[
"0\n",
"3\nbread milk\nbread potato\ncornflakes milk\n"
] |
[
"5 5\n3 bread milk banana\n2 milk cornflakes\n3 potato bread milk\n4 cornflakes bread milk butter\n2 qotato bread\n",
"5 2\n3 bread milk banana\n2 milk sekalfnroc\n3 potato bread milk\n4 cornflakes bread milk butter\n2 potato bread\n",
"5 2\n3 bread milk banana\n2 milk sekalfnroc\n3 potato daerb milk\n4 cornflakes bread milk butter\n2 potato bread\n",
"5 1\n3 eadrb knim naaabn\n3 llhm dornfmakes\n2 optato dareb inkk\n-1 cornglkaet arecd kmhm btuueq\n3 auotnp dbdqb\n",
"5 1\n3 eadrb knin naaabn\n3 llhm dornfmakes\n2 optato dareb inkk\n-1 cornglkaet arecd kmhm btuueq\n3 auotnp dbdqb\n",
"5 1\n3 eadrb knin nbaabn\n3 llhm dornfmakes\n2 optato dareb inkk\n-1 cornglkaet arecd kmhm btuueq\n3 auontp dbdqb\n",
"5 1\n3 eadrb koin nbaabn\n3 llhm dornfmakes\n2 optato dsaeb inkk\n-1 cornglkaet arecd kmhm btuueq\n3 auontp dbeqb\n",
"5 5\n3 bread milk banana\n2 milk cornflakes\n3 potato bread milk\n4 cornflakes bread milk butter\n2 otatoq bread\n",
"5 5\n3 bread milk banana\n2 milk cornflakes\n3 potato bread milk\n4 cornglakes bread milk butter\n2 otatoq bread\n",
"5 2\n3 bread milk banana\n2 milk sekalfnroc\n3 pptato daerb milk\n4 cornflakes bread milk butter\n2 potato bread\n"
] |
[
"0\n",
"2\nbread milk\nbread potato\n",
"1\nbread milk\n",
"6\n2 dornfmakes\n2 llhm\ndornfmakes llhm\neadrb knim\neadrb naaabn\nknim naaabn\n",
"6\n2 dornfmakes\n2 llhm\ndornfmakes llhm\neadrb knin\neadrb naaabn\nknin naaabn\n",
"6\n2 dornfmakes\n2 llhm\ndornfmakes llhm\neadrb knin\neadrb nbaabn\nknin nbaabn\n",
"6\n2 dornfmakes\n2 llhm\ndornfmakes llhm\neadrb koin\neadrb nbaabn\nkoin nbaabn\n",
"0\n",
"0\n",
"1\nbread milk\n"
] |
CodeContests
|
It is known that even numbers greater than or equal to 4 can be represented by the sum of two prime numbers. This is called the Goldbach's conjecture, and computer calculations have confirmed that it is correct up to a fairly large number. For example, 10 can be represented by the sum of two prime numbers, 7 + 3 and 5 + 5.
Write a program that inputs the integer n and outputs how many combinations of n are the sum of two prime numbers. However, n must be 4 or more and 50,000 or less. Also, the n entered is not always even.
Input
Given multiple datasets. Each dataset is given n on one row. When n is 0, it is the last input. The number of datasets does not exceed 10,000.
Output
For each dataset, output the number of combinations in which n is the sum of two prime numbers on one line.
Example
Input
10
11
0
Output
2
0
|
stdin
| null | 3,279 | 1 |
[
"10\n11\n0\n"
] |
[
"2\n0\n"
] |
[
"10\n22\n0\n",
"10\n34\n0\n",
"10\n28\n0\n",
"10\n31\n0\n",
"10\n3\n0\n",
"10\n0\n0\n",
"10\n48\n0\n",
"10\n106\n0\n",
"10\n140\n0\n",
"10\n160\n0\n"
] |
[
"2\n3\n",
"2\n4\n",
"2\n2\n",
"2\n1\n",
"2\n0\n",
"2\n",
"2\n5\n",
"2\n6\n",
"2\n7\n",
"2\n8\n"
] |
CodeContests
|
James has decided to take a break from his work. He makes a plan to visit India for a few days with his family. He knows a lot about India, and also about the various cities he could visit. He decides to write down all the cities on a paper. Let the number of cities be n. Now, he shows the list to his wife and asks her, the city/cities she wants to visit. He tells her that she can select any city/cities and any number of cities. The wife says, she needs a day to decide.
After this, James calls his son and tells him all about the trip, and the list of cities. He gives him a task and asks him, the number of ways the city/cities can be chosen from the list, if the total number of cities written on the list is n. The cities are numbered from 1 to n. At least 1 city has to be selected.
He now asks your help to find the answer for the question that was asked to him.
The problem consists of a number of test cases.
INPUT:
The first line of input contains the number of test cases t.
Then t lines follow, each contains a number n, the number of cities.
OUTPUT:
Output contains t lines; each line contains the answer for that test case. As the answer can be large, print the answer modulo 10^9+7
CONSTRAINTS
1 ≤ t ≤ 100000
1 ≤ n ≤ 10^12
Author/Problem Setter: Prateek Kumar
Tester:
SAMPLE INPUT
2
2
1
SAMPLE OUTPUT
3
1
Explanation
For test case 1:
The only ways to select the cities is
1
2
1 2
Therefore the answer is 3.
For test case 2:
The only way to select a city is
1
Therefore the answer is 1.
|
stdin
| null | 2,913 | 1 |
[
"2\n2\n1\n\nSAMPLE\n"
] |
[
"3\n1\n"
] |
[
"47\n100\n1\n2\n5\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n20\n20\n20\n20\n20\n20\n20\n20\n20\n21\n22\n23\n24\n25\n26\n27\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n",
"47\n100\n1\n2\n5\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n20\n20\n20\n20\n20\n20\n20\n20\n20\n21\n22\n43\n24\n25\n26\n27\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n",
"47\n100\n1\n2\n5\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n20\n20\n20\n20\n20\n20\n20\n20\n20\n21\n22\n43\n24\n25\n26\n46\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n",
"47\n100\n1\n2\n5\n4\n5\n6\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n20\n20\n20\n20\n20\n20\n20\n20\n20\n21\n22\n43\n24\n25\n26\n46\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n",
"47\n100\n1\n2\n5\n4\n5\n6\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n27\n20\n20\n20\n20\n20\n20\n20\n20\n20\n21\n22\n43\n24\n25\n26\n46\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n",
"47\n100\n1\n2\n5\n4\n5\n6\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n27\n20\n20\n20\n20\n20\n20\n20\n20\n20\n21\n22\n32\n24\n25\n26\n46\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n",
"47\n100\n1\n2\n5\n4\n5\n6\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n21\n19\n27\n20\n20\n20\n20\n20\n20\n20\n20\n20\n21\n22\n32\n24\n25\n26\n46\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n",
"47\n100\n1\n2\n5\n4\n5\n6\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n21\n19\n27\n20\n20\n20\n20\n20\n20\n20\n20\n20\n21\n22\n32\n24\n25\n26\n46\n28\n29\n3\n31\n32\n33\n34\n35\n36\n37\n",
"47\n110\n1\n2\n5\n4\n5\n6\n9\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n21\n19\n27\n20\n20\n20\n20\n20\n20\n20\n20\n20\n21\n22\n32\n24\n25\n26\n46\n28\n29\n3\n31\n32\n33\n34\n35\n36\n37\n",
"47\n110\n1\n2\n5\n4\n5\n6\n9\n8\n9\n10\n11\n12\n17\n14\n15\n16\n17\n21\n19\n27\n20\n20\n20\n20\n20\n20\n20\n20\n20\n21\n22\n32\n24\n25\n26\n46\n28\n29\n3\n31\n32\n33\n34\n35\n36\n37\n"
] |
[
"976371284\n1\n3\n31\n15\n31\n63\n127\n255\n511\n1023\n2047\n4095\n8191\n16383\n32767\n65535\n131071\n262143\n524287\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n2097151\n4194303\n8388607\n16777215\n33554431\n67108863\n134217727\n268435455\n536870911\n73741816\n147483633\n294967267\n589934535\n179869064\n359738129\n719476259\n438952512\n",
"976371284\n1\n3\n31\n15\n31\n63\n127\n255\n511\n1023\n2047\n4095\n8191\n16383\n32767\n65535\n131071\n262143\n524287\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n2097151\n4194303\n92960635\n16777215\n33554431\n67108863\n134217727\n268435455\n536870911\n73741816\n147483633\n294967267\n589934535\n179869064\n359738129\n719476259\n438952512\n",
"976371284\n1\n3\n31\n15\n31\n63\n127\n255\n511\n1023\n2047\n4095\n8191\n16383\n32767\n65535\n131071\n262143\n524287\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n2097151\n4194303\n92960635\n16777215\n33554431\n67108863\n743685087\n268435455\n536870911\n73741816\n147483633\n294967267\n589934535\n179869064\n359738129\n719476259\n438952512\n",
"976371284\n1\n3\n31\n15\n31\n63\n511\n255\n511\n1023\n2047\n4095\n8191\n16383\n32767\n65535\n131071\n262143\n524287\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n2097151\n4194303\n92960635\n16777215\n33554431\n67108863\n743685087\n268435455\n536870911\n73741816\n147483633\n294967267\n589934535\n179869064\n359738129\n719476259\n438952512\n",
"976371284\n1\n3\n31\n15\n31\n63\n511\n255\n511\n1023\n2047\n4095\n8191\n16383\n32767\n65535\n131071\n262143\n524287\n134217727\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n2097151\n4194303\n92960635\n16777215\n33554431\n67108863\n743685087\n268435455\n536870911\n73741816\n147483633\n294967267\n589934535\n179869064\n359738129\n719476259\n438952512\n",
"976371284\n1\n3\n31\n15\n31\n63\n511\n255\n511\n1023\n2047\n4095\n8191\n16383\n32767\n65535\n131071\n262143\n524287\n134217727\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n2097151\n4194303\n294967267\n16777215\n33554431\n67108863\n743685087\n268435455\n536870911\n73741816\n147483633\n294967267\n589934535\n179869064\n359738129\n719476259\n438952512\n",
"976371284\n1\n3\n31\n15\n31\n63\n511\n255\n511\n1023\n2047\n4095\n8191\n16383\n32767\n65535\n131071\n2097151\n524287\n134217727\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n2097151\n4194303\n294967267\n16777215\n33554431\n67108863\n743685087\n268435455\n536870911\n73741816\n147483633\n294967267\n589934535\n179869064\n359738129\n719476259\n438952512\n",
"976371284\n1\n3\n31\n15\n31\n63\n511\n255\n511\n1023\n2047\n4095\n8191\n16383\n32767\n65535\n131071\n2097151\n524287\n134217727\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n2097151\n4194303\n294967267\n16777215\n33554431\n67108863\n743685087\n268435455\n536870911\n7\n147483633\n294967267\n589934535\n179869064\n359738129\n719476259\n438952512\n",
"804188846\n1\n3\n31\n15\n31\n63\n511\n255\n511\n1023\n2047\n4095\n8191\n16383\n32767\n65535\n131071\n2097151\n524287\n134217727\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n2097151\n4194303\n294967267\n16777215\n33554431\n67108863\n743685087\n268435455\n536870911\n7\n147483633\n294967267\n589934535\n179869064\n359738129\n719476259\n438952512\n",
"804188846\n1\n3\n31\n15\n31\n63\n511\n255\n511\n1023\n2047\n4095\n131071\n16383\n32767\n65535\n131071\n2097151\n524287\n134217727\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n1048575\n2097151\n4194303\n294967267\n16777215\n33554431\n67108863\n743685087\n268435455\n536870911\n7\n147483633\n294967267\n589934535\n179869064\n359738129\n719476259\n438952512\n"
] |
CodeContests
|
Min Element
Given the sequence a_1, a_2, .., a_N.
Find the minimum number in this sequence.
If the minimum value is in more than one place, answer the one with the lowest number.
input
N
a_1 a_2 ... a_N
output
Output the smallest i such that a_i is the minimum value in the sequence.
Constraint
* 1 \ leq N \ leq 10 ^ 5
* 1 \ leq a_i \ leq 10 ^ 9
Input example
6
8 6 9 1 2 1
Output example
Four
Example
Input
6
8 6 9 1 2 1
Output
4
|
stdin
| null | 1,548 | 1 |
[
"6\n8 6 9 1 2 1\n"
] |
[
"4\n"
] |
[
"6\n8 6 9 0 2 1\n",
"6\n8 6 9 1 2 0\n",
"6\n3 33 0 2 10 0\n",
"6\n3 18 3 4 0 0\n",
"6\n6 0 9 1 2 1\n",
"6\n1 6 9 1 2 0\n",
"6\n1 6 9 0 2 0\n",
"6\n8 3 9 1 2 1\n",
"6\n6 6 9 0 2 1\n",
"6\n8 6 9 2 2 0\n"
] |
[
"4\n",
"6\n",
"3\n",
"5\n",
"2\n",
"6\n",
"4\n",
"4\n",
"4\n",
"6\n"
] |
CodeContests
|
C: Short-circuit evaluation
problem
Naodai-kun and Hokkaido University-kun are playing games. Hokkaido University first generates the following logical formula represented by BNF.
<formula> :: = <or-expr>
<or-expr> :: = <and-expr>
| <or-expr> "|" <and-expr>
<and-expr> :: = <term>
| <and-expr> "&" <term>
<term> :: = "(" <or-expr> ")" | "?"
`&` represents the logical product, `|` represents the logical sum, and `&` is evaluated before `|`.
Naodai reads this formula from the left (as a string), and when he finds a `?`, He does the following:
* If it is certain that the evaluation result of the formula does not change regardless of whether the `?` Is `0` or` 1`, read it without doing anything.
* If not, pay 1 yen to Hokkaido University and replace the `?` With `0` or` 1`.
The logical expression is evaluated as follows. It is a so-called ordinary formula.
(0 &?) == 0
(1 & 0) == 0
(1 & 1) == 1
(0 | 0) == 0
(0 | 1) == 1
(1 |?) == 1
What is the minimum amount Naodai has to pay to finalize the evaluation result of a well-formed formula? Obtain the evaluation result depending on whether it is set to `0` or` 1`.
Input format
A formula that follows the BNF above is given in one line.
Constraint
The length of the formula does not exceed 2 \ times 10 ^ 5.
Output format
Output the minimum amount required to make the evaluation result `0`,` 1`, separated by blanks.
Input example 1
? &? |? &? |? &?
Output example 1
3 2
If you want to make it `0`, rewrite it with` 0 0 0` to make it `0 &? | 0 &? | 0 &?`, If you want to make it `1`, rewrite it with` 1 1` and make it `1 & 1 |? &? |? & It is best to use? `.
Input example 2
? &? &? |? &? &?
Output example 2
twenty three
They are `0 &? &? | 0 &? &?` And `1 & 1 & 1 |? &? &?`, Respectively.
Input example 3
(? |? |?) &? &? &? &? |? &? |? &?
Output example 3
4 4
Example
Input
?&?|?&?|?&?
Output
3 2
|
stdin
| null | 3,974 | 1 |
[
"?&?|?&?|?&?\n"
] |
[
"3 2\n"
] |
[
"?&?&?|?|?&?\n",
"?|?&?|?&?&?\n",
"?&?&?|?&?|?\n",
"?&?|?|?&?&?\n",
"?|?|?&?&?&?\n",
"?&?&?&?|?|?\n",
"?|?&?&?|?&?\n",
"?&?|?&?&?|?\n",
"?|?|?&?&??&\n",
"?|?&?&?&?|?\n"
] |
[
"3 2\n",
"3 1\n",
"3 3\n",
"3 2\n",
"3 1\n",
"3 2\n",
"3 1\n",
"3 2\n",
"3 1\n",
"3 1\n"
] |
CodeContests
|
In "Takahashi-ya", a ramen restaurant, basically they have one menu: "ramen", but N kinds of toppings are also offered. When a customer orders a bowl of ramen, for each kind of topping, he/she can choose whether to put it on top of his/her ramen or not. There is no limit on the number of toppings, and it is allowed to have all kinds of toppings or no topping at all. That is, considering the combination of the toppings, 2^N types of ramen can be ordered.
Akaki entered Takahashi-ya. She is thinking of ordering some bowls of ramen that satisfy both of the following two conditions:
* Do not order multiple bowls of ramen with the exactly same set of toppings.
* Each of the N kinds of toppings is on two or more bowls of ramen ordered.
You are given N and a prime number M. Find the number of the sets of bowls of ramen that satisfy these conditions, disregarding order, modulo M. Since she is in extreme hunger, ordering any number of bowls of ramen is fine.
Constraints
* 2 \leq N \leq 3000
* 10^8 \leq M \leq 10^9 + 9
* N is an integer.
* M is a prime number.
Input
Input is given from Standard Input in the following format:
N M
Output
Print the number of the sets of bowls of ramen that satisfy the conditions, disregarding order, modulo M.
Examples
Input
2 1000000007
Output
2
Input
3 1000000009
Output
118
Input
50 111111113
Output
1456748
Input
3000 123456791
Output
16369789
|
stdin
| null | 4,346 | 1 |
[
"3 1000000009\n",
"2 1000000007\n",
"3000 123456791\n",
"50 111111113\n"
] |
[
"118\n",
"2\n",
"16369789\n",
"1456748\n"
] |
[
"4 1000000007\n",
"5 111111113\n",
"6 111111113\n",
"7 111111113\n",
"8 111111113\n",
"3 937953985\n",
"2 1755323823\n",
"73 111111113\n",
"8 153159299\n",
"1 937953985\n"
] |
[
"58456\n",
"67376176\n",
"6643652\n",
"55159273\n",
"64416350\n",
"118\n",
"2\n",
"64254352\n",
"96802080\n",
"0\n"
] |
CodeContests
|
Alice wants to send an email to Miku on her mobile phone.
The only buttons that can be used for input on mobile phones are number buttons. Therefore, in order to input characters, the number buttons are pressed several times to input characters. The following characters are assigned to the number buttons of the mobile phone, and the confirmation button is assigned to button 0. With this mobile phone, you are supposed to press the confirm button after you finish entering one character.
* 1:.,!? (Space)
* 2: a b c
* 3: d e f
* 4: g h i
* 5: j k l
* 6: m n o
* 7: p q r s
* 8: t u v
* 9: w x y z
* 0: Confirm button
For example, if you press button 2, button 2, or button 0, the letter changes from'a'to'b', and the confirm button is pressed here, so the letter b is output. If you enter the same number in succession, the changing characters will loop. That is, if you press button 2 five times and then button 0, the letters change from'a'→' b'→'c' →'a' →'b', and the confirm button is pressed here. 'b' is output.
You can press the confirm button when no button is pressed, but in that case no characters are output.
Your job is to recreate the message Alice created from a row of buttons pressed by Alice.
Input
The first line gives the number of test cases. Each test case is then given a string of digits up to 1024 in length in one row.
Output
Print the string of Alice's message line by line for each test case. However, you can assume that the output is one or more and less than 76 characters.
Example
Input
5
20
220
222220
44033055505550666011011111090666077705550301110
000555555550000330000444000080000200004440000
Output
a
b
b
hello, world!
keitai
|
stdin
| null | 4,123 | 1 |
[
"5\n20\n220\n222220\n44033055505550666011011111090666077705550301110\n000555555550000330000444000080000200004440000\n"
] |
[
"a\nb\nb\nhello, world!\nkeitai\n"
] |
[
"5\n40\n220\n222220\n44033055505550666011011111090666077705550301110\n000555555550000330000444000080000200004440000\n",
"5\n40\n30\n222220\n44033055505550666011011111090666077705550301110\n000555555550000330000444000080000200004440000\n",
"5\n10\n220\n222220\n44033055505550666011011111090666077705550301110\n000555555550000330000444000080000200004440000\n",
"5\n40\n40\n222220\n44033055505550666011011111090666077705550301110\n000555555550000330000444000080000200004440000\n",
"5\n20\n40\n222220\n44033055505550666011011111090666077705550301110\n000555555550000330000444000080000200004440000\n",
"5\n40\n50\n222220\n44033055505550666011011111090666077705550301110\n000555555550000330000444000080000200004440000\n",
"5\n0\n220\n222220\n44033055505550666011011111090666077705550301110\n000555555550000330000444000080000200004440000\n",
"5\n20\n300\n222220\n44033055505550666011011111090666077705550301110\n000555555550000330000444000080000200004440000\n",
"5\n20\n10\n222220\n44033055505550666011011111090666077705550301110\n000555555550000330000444000080000200004440000\n",
"5\n0\n300\n222220\n44033055505550666011011111090666077705550301110\n000555555550000330000444000080000200004440000\n"
] |
[
"g\nb\nb\nhello, world!\nkeitai\n",
"g\nd\nb\nhello, world!\nkeitai\n",
".\nb\nb\nhello, world!\nkeitai\n",
"g\ng\nb\nhello, world!\nkeitai\n",
"a\ng\nb\nhello, world!\nkeitai\n",
"g\nj\nb\nhello, world!\nkeitai\n",
"b\nb\nhello, world!\nkeitai\n",
"a\nd\nb\nhello, world!\nkeitai\n",
"a\n.\nb\nhello, world!\nkeitai\n",
"d\nb\nhello, world!\nkeitai\n"
] |
CodeContests
|
In the advanced algorithm class, n2 students sit in n rows and n columns. One day, a professor who teaches this subject comes into the class, asks the shortest student in each row to lift up his left hand, and the tallest student in each column to lift up his right hand. What is the height of the student whose both hands are up ? The student will become a target for professor’s questions.
Given the size of the class, and the height of the students in the class, you have to print the height of the student who has both his hands up in the class.
Input
The input will consist of several cases. the first line of each case will be n(0 < n < 100), the number of rows and columns in the class. It will then be followed by a n-by-n matrix, each row of the matrix appearing on a single line. Note that the elements of the matrix may not be necessarily distinct. The input will be terminated by the case n = 0.
Output
For each input case, you have to print the height of the student in the class whose both hands are up. If there is no such student, then print 0 for that case.
Example
Input
3
1 2 3
4 5 6
7 8 9
3
1 2 3
7 8 9
4 5 6
0
Output
7
7
|
stdin
| null | 4,119 | 1 |
[
"3\n1 2 3\n4 5 6\n7 8 9\n3\n1 2 3\n7 8 9\n4 5 6\n0\n"
] |
[
"7\n7\n"
] |
[
"3\n1 2 3\n4 5 6\n7 10 9\n3\n1 2 3\n7 8 9\n4 5 6\n0\n",
"3\n1 2 3\n4 5 6\n7 10 9\n3\n1 2 3\n7 8 6\n4 5 6\n0\n",
"3\n1 2 3\n4 5 6\n7 10 9\n3\n1 2 3\n2 8 9\n4 5 6\n0\n",
"3\n1 2 3\n4 5 6\n7 10 9\n3\n1 2 3\n7 8 6\n4 5 7\n0\n",
"3\n1 2 3\n4 5 6\n12 10 9\n3\n1 4 3\n7 8 9\n4 8 6\n0\n",
"3\n1 2 3\n4 5 6\n2 15 9\n3\n1 4 3\n7 8 9\n4 8 6\n0\n",
"3\n1 2 3\n4 5 5\n7 1 9\n3\n1 2 3\n7 8 10\n4 5 6\n0\n",
"3\n1 4 3\n4 5 6\n2 15 9\n3\n1 4 3\n1 8 9\n4 8 6\n0\n",
"3\n1 1 3\n4 2 11\n7 0 4\n3\n1 4 6\n7 8 9\n4 8 6\n0\n",
"3\n1 2 3\n2 10 6\n13 10 9\n3\n1 2 3\n7 0 7\n4 5 6\n0\n"
] |
[
"7\n7\n",
"7\n6\n",
"7\n4\n",
"7\n0\n",
"9\n7\n",
"4\n7\n",
"0\n7\n",
"4\n4\n",
"2\n7\n",
"9\n0\n"
] |
CodeContests
|
Consider the following arithmetic progression with n terms:
* x, x + d, x + 2d, \ldots, x + (n-1)d
What is the product of all terms in this sequence? Compute the answer modulo 1\ 000\ 003.
You are given Q queries of this form. In the i-th query, compute the answer in case x = x_i, d = d_i, n = n_i.
Constraints
* 1 \leq Q \leq 10^5
* 0 \leq x_i, d_i \leq 1\ 000\ 002
* 1 \leq n_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
Q
x_1 d_1 n_1
:
x_Q d_Q n_Q
Output
Print Q lines.
In the i-th line, print the answer for the i-th query.
Example
Input
2
7 2 4
12345 67890 2019
Output
9009
916936
|
stdin
| null | 3,474 | 1 |
[
"2\n7 2 4\n12345 67890 2019\n"
] |
[
"9009\n916936\n"
] |
[
"2\n7 2 4\n12345 17991 2019\n",
"2\n7 2 0\n12345 17991 2019\n",
"2\n7 2 0\n12345 17991 2755\n",
"2\n7 2 0\n9796 17991 2755\n",
"2\n7 2 4\n12345 86689 2019\n",
"2\n7 2 4\n12345 17991 226\n",
"2\n7 2 0\n12345 25838 2019\n",
"2\n7 2 1\n9796 17991 2755\n",
"2\n7 2 4\n23706 86689 2019\n",
"2\n7 3 4\n12345 17991 226\n"
] |
[
"9009\n379039\n",
"1\n379039\n",
"1\n696278\n",
"1\n488970\n",
"9009\n305844\n",
"9009\n873413\n",
"1\n699963\n",
"7\n488970\n",
"9009\n757599\n",
"14560\n873413\n"
] |
CodeContests
|
Write a program which performs the following operations to a binary search tree $T$ by adding the find operation to A: Binary Search Tree I.
* insert $k$: Insert a node containing $k$ as key into $T$.
* find $k$: Report whether $T$ has a node containing $k$.
* print: Print the keys of the binary search tree by inorder tree walk and preorder tree walk respectively.
Constraints
* The number of operations $\leq 500,000$
* The number of print operations $\leq 10$.
* $-2,000,000,000 \leq key \leq 2,000,000,000$
* The height of the binary tree does not exceed 100 if you employ the above pseudo code.
* The keys in the binary search tree are all different.
Input
In the first line, the number of operations $m$ is given. In the following $m$ lines, operations represented by insert $k$, find $k$ or print are given.
Output
For each find $k$ operation, print "yes" if $T$ has a node containing $k$, "no" if not.
In addition, for each print operation, print a list of keys obtained by inorder tree walk and preorder tree walk in a line respectively. Put a space character before each key.
Example
Input
10
insert 30
insert 88
insert 12
insert 1
insert 20
find 12
insert 17
insert 25
find 16
print
Output
yes
no
1 12 17 20 25 30 88
30 12 1 20 17 25 88
|
stdin
| null | 2,461 | 1 |
[
"10\ninsert 30\ninsert 88\ninsert 12\ninsert 1\ninsert 20\nfind 12\ninsert 17\ninsert 25\nfind 16\nprint\n"
] |
[
"yes\nno\n 1 12 17 20 25 30 88\n 30 12 1 20 17 25 88\n"
] |
[
"10\ninsert 30\ninsert 88\ninsert 12\ninsert 1\ninsert 29\nfind 12\ninsert 17\ninsert 25\nfind 16\nprint\n",
"10\ninsert 30\ninsert 88\ninsert 12\ninsert 2\ninsert 20\nfind 12\ninsert 17\ninsert 25\nfind 16\nprint\n",
"10\ninsert 30\ninsert 88\ninsert 12\ninsert 1\ninsert 29\nfind 15\ninsert 17\ninsert 25\nfind 16\nprint\n",
"10\ninsert 30\ninsert 88\ninsert 12\ninsert 1\ninsert 20\nfind 13\ninsert 17\ninsert 25\nfind 16\nprint\n",
"10\ninsert 30\ninsert 88\ninsert 19\ninsert 1\ninsert 20\nfind 13\ninsert 17\ninsert 25\nfind 16\nprint\n",
"10\ninsert 30\ninsert 88\ninsert 12\ninsert 0\ninsert 29\nfind 12\ninsert 17\ninsert 25\nfind 16\nprint\n",
"10\ninsert 30\ninsert 88\ninsert 12\ninsert 2\ninsert 20\nfind 12\ninsert 1\ninsert 25\nfind 16\nprint\n",
"10\ninsert 30\ninsert 88\ninsert 19\ninsert 1\ninsert 20\nfind 13\ninsert 17\ninsert 25\nfind 25\nprint\n",
"10\ninsert 30\ninsert 88\ninsert 7\ninsert 0\ninsert 29\nfind 12\ninsert 17\ninsert 25\nfind 16\nprint\n",
"10\ninsert 35\ninsert 88\ninsert 12\ninsert 2\ninsert 20\nfind 12\ninsert 17\ninsert 25\nfind 16\nprint\n"
] |
[
"yes\nno\n 1 12 17 25 29 30 88\n 30 12 1 29 17 25 88\n",
"yes\nno\n 2 12 17 20 25 30 88\n 30 12 2 20 17 25 88\n",
"no\nno\n 1 12 17 25 29 30 88\n 30 12 1 29 17 25 88\n",
"no\nno\n 1 12 17 20 25 30 88\n 30 12 1 20 17 25 88\n",
"no\nno\n 1 17 19 20 25 30 88\n 30 19 1 17 20 25 88\n",
"yes\nno\n 0 12 17 25 29 30 88\n 30 12 0 29 17 25 88\n",
"yes\nno\n 1 2 12 20 25 30 88\n 30 12 2 1 20 25 88\n",
"no\nyes\n 1 17 19 20 25 30 88\n 30 19 1 17 20 25 88\n",
"no\nno\n 0 7 17 25 29 30 88\n 30 7 0 29 17 25 88\n",
"yes\nno\n 2 12 17 20 25 35 88\n 35 12 2 20 17 25 88\n"
] |
CodeContests
|
The following sorting operation is repeated for the stacked blocks as shown in Fig. A.
1. Stack all the bottom blocks (white blocks in Figure a) on the right edge (the remaining blocks will automatically drop one step down, as shown in Figure b).
2. If there is a gap between the blocks, pack it to the left to eliminate the gap (from Fig. B to Fig. C).
For an integer k greater than or equal to 1, a number represented by k × (k + 1) / 2 (example: 1, 3, 6, 10, ...) is called a triangular number. If the total number of blocks is a triangular number, it is expected that if the above sorting is repeated, the height of the left end will be 1 and the total number will increase by 1 toward the right (Fig. D shows the total number). For 15).
<image>
When the first sequence of blocks is given, when the triangle of the block as explained above is created by the operation less than the predetermined number of times, create a program that outputs the minimum number of operations until the triangle is obtained. please.
input
The input consists of multiple datasets. The end of the input is indicated by a single zero line. Each dataset is given in the following format.
N
b1 b2 ... bN
Each dataset has two rows and represents the first sequence of blocks. N (1 ≤ N ≤ 100) indicates the number of blocks in the bottom row. bi (1 ≤ bi ≤ 10000) indicates the number of blocks stacked in the i-th position from the left. bi and bi + 1 are separated by a single space. The total number of blocks is 3 or more.
The number of datasets does not exceed 20.
output
For each data set, the number of sorting operations performed until the triangle is formed is output on one line. However, if a triangle cannot be created or the number of operations exceeds 10000, -1 is output.
Example
Input
6
1 4 1 3 2 4
5
1 2 3 4 5
10
1 1 1 1 1 1 1 1 1 1
9
1 1 1 1 1 1 1 1 1
12
1 4 1 3 2 4 3 3 2 1 2 2
1
5050
3
10000 10000 100
0
Output
24
0
10
-1
48
5049
-1
|
stdin
| null | 2,569 | 1 |
[
"6\n1 4 1 3 2 4\n5\n1 2 3 4 5\n10\n1 1 1 1 1 1 1 1 1 1\n9\n1 1 1 1 1 1 1 1 1\n12\n1 4 1 3 2 4 3 3 2 1 2 2\n1\n5050\n3\n10000 10000 100\n0\n"
] |
[
"24\n0\n10\n-1\n48\n5049\n-1\n"
] |
[
"6\n1 4 1 3 2 4\n5\n1 2 5 4 5\n10\n1 1 1 1 1 1 1 1 1 1\n9\n1 1 1 1 1 1 1 1 1\n12\n1 4 1 3 2 4 3 3 2 1 2 2\n1\n5050\n3\n10000 10000 100\n0\n",
"6\n1 4 1 3 2 4\n5\n1 2 5 4 5\n10\n1 1 1 1 1 1 1 1 1 1\n9\n1 1 1 1 1 1 1 1 1\n12\n1 4 1 3 2 4 3 1 2 1 2 2\n1\n5050\n3\n10000 10000 100\n0\n",
"6\n1 4 1 3 2 4\n5\n1 2 5 4 5\n10\n1 1 1 1 1 1 1 1 1 1\n9\n1 1 1 1 1 1 2 1 1\n12\n1 4 1 3 2 4 3 3 2 1 2 2\n1\n5050\n3\n10000 10000 100\n0\n",
"6\n1 4 1 3 2 4\n5\n1 2 5 4 5\n10\n1 1 1 1 1 1 1 1 1 1\n9\n1 1 1 1 1 1 2 1 1\n12\n1 8 1 3 2 4 3 3 2 1 2 2\n1\n5050\n3\n10000 10000 100\n0\n",
"6\n1 1 1 3 2 4\n5\n1 2 5 4 5\n10\n1 1 1 1 1 1 1 1 1 1\n9\n1 1 1 1 1 1 1 1 1\n12\n1 4 1 3 2 7 3 1 2 1 2 2\n1\n5050\n3\n10000 10000 100\n0\n",
"6\n1 4 1 3 2 4\n5\n1 2 5 4 5\n10\n1 1 1 1 1 1 1 2 1 1\n9\n1 1 1 1 1 1 2 1 1\n12\n1 8 1 1 2 4 3 3 2 1 2 2\n1\n5050\n3\n10000 10000 100\n0\n",
"6\n1 4 1 3 2 4\n5\n1 2 5 4 5\n10\n1 1 1 1 1 1 1 2 1 1\n9\n1 1 1 1 1 1 0 1 1\n12\n1 8 1 1 2 8 3 3 2 1 2 2\n1\n5050\n3\n10000 10000 100\n0\n",
"6\n1 8 1 3 2 4\n5\n1 2 5 4 5\n10\n1 1 1 1 1 1 1 2 1 1\n9\n1 1 1 1 1 2 2 1 1\n12\n1 8 1 1 2 4 3 4 2 1 2 4\n1\n5050\n3\n10000 10000 100\n0\n",
"6\n1 8 1 3 2 4\n5\n1 2 5 4 5\n10\n1 1 1 1 1 1 1 2 1 1\n9\n1 1 1 1 1 2 2 1 1\n12\n1 8 1 1 2 3 3 4 0 1 2 4\n1\n2922\n3\n10000 10000 100\n0\n",
"6\n1 4 1 3 2 4\n5\n1 2 3 4 5\n10\n1 1 1 1 1 1 1 1 1 1\n9\n1 1 1 1 1 1 1 1 1\n12\n1 4 1 3 2 4 1 3 2 1 2 2\n1\n5050\n3\n10000 10000 100\n0\n"
] |
[
"24\n-1\n10\n-1\n48\n5049\n-1\n",
"24\n-1\n10\n-1\n-1\n5049\n-1\n",
"24\n-1\n10\n9\n48\n5049\n-1\n",
"24\n-1\n10\n9\n-1\n5049\n-1\n",
"-1\n-1\n10\n-1\n-1\n5049\n-1\n",
"24\n-1\n-1\n9\n-1\n5049\n-1\n",
"24\n-1\n-1\n-1\n-1\n5049\n-1\n",
"-1\n-1\n-1\n-1\n-1\n5049\n-1\n",
"-1\n-1\n-1\n-1\n-1\n-1\n-1\n",
"24\n0\n10\n-1\n-1\n5049\n-1\n"
] |
CodeContests
|
Toshizo is the manager of a convenience store chain in Hakodate. Every day, each of the stores in his chain sends him a table of the products that they have sold. Toshizo's job is to compile these figures and calculate how much the stores have sold in total.
The type of a table that is sent to Toshizo by the stores looks like this (all numbers represent units of products sold):
Store1 Store2 Store3 Totals
Product A -5 40 70 | 105
Product B 20 50 80 | 150
Product C 30 60 90 | 180
-----------------------------------------------------------
Store's total sales 45 150 240 435
By looking at the table, Toshizo can tell at a glance which goods are selling well or selling badly, and which stores are paying well and which stores are too empty. Sometimes, customers will bring products back, so numbers in a table can be negative as well as positive.
Toshizo reports these figures to his boss in Tokyo, and together they sometimes decide to close stores that are not doing well and sometimes decide to open new stores in places that they think will be profitable. So, the total number of stores managed by Toshizo is not fixed. Also, they often decide to discontinue selling some products that are not popular, as well as deciding to stock new items that are likely to be popular. So, the number of products that Toshizo has to monitor is also not fixed.
One New Year, it is very cold in Hakodate. A water pipe bursts in Toshizo's office and floods his desk. When Toshizo comes to work, he finds that the latest sales table is not legible. He can make out some of the figures, but not all of them. He wants to call his boss in Tokyo to tell him that the figures will be late, but he knows that his boss will expect him to reconstruct the table if at all possible.
Waiting until the next day won't help, because it is the New Year, and his shops will be on holiday. So, Toshizo decides either to work out the values for himself, or to be sure that there really is no unique solution. Only then can he call his boss and tell him what has happened.
But Toshizo also wants to be sure that a problem like this never happens again. So he decides to write a computer program that all the managers in his company can use if some of the data goes missing from their sales tables. For instance, if they have a table like:
Store 1 Store 2 Store 3 Totals
Product A ? ? 70 | 105
Product B ? 50 ? | 150
Product C 30 60 90 | 180
--------------------------------------------------------
Store's total sales 45 150 240 435
then Toshizo's program will be able to tell them the correct figures to replace the question marks. In some cases, however, even his program will not be able to replace all the question marks, in general. For instance, if a table like:
Store 1 Store 2 Totals
Product A ? ? | 40
Product B ? ? | 40
---------------------------------------------
Store's total sales 40 40 80
is given, there are infinitely many possible solutions. In this sort of case, his program will just say "NO". Toshizo's program works for any data where the totals row and column are still intact. Can you reproduce Toshizo's program?
Input
The input consists of multiple data sets, each in the following format:
p s
row1
row2
...
rowp
totals
The first line consists of two integers p and s, representing the numbers of products and stores, respectively. The former is less than 100 and the latter is less than 10.
They are separated by a blank character. Each of the subsequent lines represents a row of the table and consists of s+1 elements, each of which is either an integer or a question mark. The i-th line (1 <= i <= p) corresponds to the i-th product and the last line the totals row. The first s elements in a line represent the sales of each store and the last one the total sales of the product. Numbers or question marks in a line are separated by a blank character. There are no missing numbers in the totals column or row. There is at least one question mark in each data set.
The known numbers in the table except the totals row and column is between -1,000 and 1,000, inclusive. However, unknown numbers, represented by question marks, may not be in this range. The total sales number of each product is between -10,000 and 10,000, inclusive. The total sales number of each store is between -100,000 and 100,000, inclusive.
There is a blank line between each data set in the input, and the input is terminated by a line consisting of a zero.
Output
When there is a unique solution, your program should print the missing numbers in the occurrence order in the input data set. Otherwise, your program should print just "NO". The answers of consecutive data sets should be separated by an empty line. Each non-empty output line contains only a single number or "NO".
Example
Input
3 3
? ? 70 105
? 50 ? 150
30 60 90 180
45 150 240 435
2 2
? ? 40
? ? 40
40 40 80
2 3
? 30 40 90
50 60 70 180
70 90 110 270
0
Output
-5
40
20
80
NO
20
|
stdin
| null | 265 | 1 |
[
"3 3\n? ? 70 105\n? 50 ? 150\n30 60 90 180\n45 150 240 435\n\n2 2\n? ? 40\n? ? 40\n40 40 80\n\n2 3\n? 30 40 90\n50 60 70 180\n70 90 110 270\n\n0\n"
] |
[
"-5\n40\n20\n80\n\nNO\n\n20\n"
] |
[
"3 3\n? ? 70 105\n? 50 ? 150\n30 60 90 180\n45 150 240 435\n\n2 2\n? ? 40\n? ? 40\n40 40 80\n\n2 3\n? 30 40 90\n50 100 70 180\n70 90 110 270\n\n0\n",
"3 3\n? ? 70 105\n? 21 ? 150\n30 60 90 180\n45 150 240 435\n\n2 2\n? ? 40\n? ? 40\n40 40 80\n\n2 3\n? 30 40 90\n50 100 108 180\n70 90 110 270\n\n0\n",
"3 3\n? ? 70 105\n? 20 ? 150\n30 60 90 180\n45 150 240 562\n\n2 2\n? ? 40\n? ? 40\n13 40 80\n\n2 3\n? 30 40 90\n50 100 108 180\n70 90 110 270\n\n0\n",
"3 3\n? ? 103 105\n? 50 ? 150\n30 60 90 180\n45 150 240 562\n\n2 2\n? ? 40\n? ? 40\n13 40 80\n\n2 3\n? 30 40 90\n50 100 108 180\n70 90 110 471\n\n0\n",
"3 3\n? ? 70 105\n? 85 ? 150\n30 60 90 180\n45 150 240 435\n\n2 2\n? ? 40\n? ? 40\n40 40 80\n\n2 3\n? 30 40 90\n50 100 70 180\n70 90 010 270\n\n0\n",
"3 3\n? ? 70 105\n? 39 ? 150\n30 60 90 180\n45 150 240 562\n\n2 2\n? ? 40\n? ? 40\n40 40 80\n\n2 3\n? 30 40 90\n50 100 108 180\n70 90 110 270\n\n0\n",
"3 3\n? ? 70 105\n? 4 ? 150\n30 60 90 180\n45 150 240 562\n\n2 2\n? ? 40\n? ? 40\n40 40 80\n\n2 3\n? 30 40 90\n50 100 108 271\n70 90 110 270\n\n0\n",
"3 3\n? ? 70 105\n? 24 ? 150\n30 60 90 46\n45 150 240 358\n\n2 2\n? ? 40\n? ? 16\n40 40 120\n\n2 3\n? 30 40 90\n50 100 108 180\n70 90 110 270\n\n0\n",
"3 3\n? ? 70 105\n? 60 ? 150\n30 60 90 180\n45 150 240 435\n\n2 2\n? ? 40\n? ? 40\n40 52 80\n\n2 3\n? 30 40 90\n50 100 70 180\n70 90 110 270\n\n0\n",
"3 3\n? ? 36 105\n? 50 ? 150\n30 60 90 180\n45 150 240 435\n\n2 2\n? ? 40\n? ? 40\n40 40 80\n\n2 3\n? 30 40 90\n50 100 203 180\n70 90 110 270\n\n0\n"
] |
[
"-5\n40\n20\n80\n\nNO\n\n20\n",
"-34\n69\n49\n80\n\nNO\n\n20\n",
"-35\n70\n50\n80\n\nNO\n\n20\n",
"-38\n40\n53\n47\n\nNO\n\n20\n",
"30\n5\n-15\n80\n\nNO\n\n20\n",
"-16\n51\n31\n80\n\nNO\n\n20\n",
"-51\n86\n66\n80\n\nNO\n\n20\n",
"-31\n66\n46\n80\n\nNO\n\n20\n",
"5\n30\n10\n80\n\nNO\n\n20\n",
"29\n40\n-14\n114\n\nNO\n\n20\n"
] |
CodeContests
|
We have three boxes A, B, and C, each of which contains an integer.
Currently, the boxes A, B, and C contain the integers X, Y, and Z, respectively.
We will now do the operations below in order. Find the content of each box afterward.
* Swap the contents of the boxes A and B
* Swap the contents of the boxes A and C
Constraints
* 1 \leq X,Y,Z \leq 100
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
X Y Z
Output
Print the integers contained in the boxes A, B, and C, in this order, with space in between.
Examples
Input
1 2 3
Output
3 1 2
Input
100 100 100
Output
100 100 100
Input
41 59 31
Output
31 41 59
|
stdin
| null | 5,048 | 1 |
[
"100 100 100\n",
"41 59 31\n",
"1 2 3\n"
] |
[
"100 100 100\n",
"31 41 59\n",
"3 1 2\n"
] |
[
"000 100 100\n",
"41 82 31\n",
"2 2 3\n",
"010 100 100\n",
"41 82 46\n",
"2 2 5\n",
"010 000 100\n",
"41 18 46\n",
"2 2 7\n",
"010 000 110\n"
] |
[
"100 0 100\n",
"31 41 82\n",
"3 2 2\n",
"100 10 100\n",
"46 41 82\n",
"5 2 2\n",
"100 10 0\n",
"46 41 18\n",
"7 2 2\n",
"110 10 0\n"
] |
CodeContests
|
You are going to take the entrance examination of Kyoto University tomorrow and have decided to memorize a set of strings S that is expected to appear in the examination. Since it is really tough to memorize S as it is, you have decided to memorize a single string T that efficiently contains all the strings in S.
You have already confirmed the following conditions for S and T are satisfied.
* Every string in S is a consecutive subsequence(1) in T .
* For every pair of strings x, y (x \neq y) in S , x is not a subsequence(2) of y.
Note that (1) is ''consecutive subsequence'', while (2) is ''subsequence''.
The next day, you opened the problem booklet at the examination and found that you can get a full score only if you remember S. However, You have forgot how to reconstruct S from T . Since all you remember is that T satisfies the above conditions, first you have decided to find the maximum possible number of elements in S .
Constraints
* 1 \leq |T| \leq 10^5
* T consists of only lowercase letters.
Partial points
* 30 points will be awarded for passing the test set satisfying the condition: 1 \leq |T| \leq 50 .
* Another 30 points will be awarded for passing the test set satisfying the condition: 1 \leq |T| \leq 10^3.
Input
The input is given from Standard Input in the following format:
T
The input only consists of T on one line.
Output
Print the maximum number of elements inS .
Examples
Input
abcabc
Output
3
Input
abracadabra
Output
7
Input
abcbabbcabbc
Output
8
Input
bbcacbcbcabbabacccbbcacbaaababbacabaaccbccabcaabba
Output
44
|
stdin
| null | 4,194 | 1 |
[
"abcbabbcabbc\n",
"abcabc\n",
"abracadabra\n",
"bbcacbcbcabbabacccbbcacbaaababbacabaaccbccabcaabba\n"
] |
[
"8\n",
"3\n",
"7\n",
"44\n"
] |
[
"cbbacbbabcba\n",
"cbacba\n",
"arbadacarba\n",
"bbcacbcbcabaabacccbbcacbaaababbacabaaccbccabcaabba\n",
"cbbacbbbbcba\n",
"cb`cba\n",
"bbcacbcbcabaabaccdbbcacaaaababbacabaaccbccabcabbba\n",
"abbbacbaccbdcabbacabbbbaaaacacbbdccabaacacbbbcacbb\n",
"dbcadbbaaabc\n",
"accabc\n"
] |
[
"8\n",
"3\n",
"7\n",
"44\n",
"9\n",
"4\n",
"45\n",
"43\n",
"10\n",
"5\n"
] |
CodeContests
|
Solve the mystery
HINT : Digital Display
Input :
First line has an integer T.
Next T lines has an integer N in each line. It is guaranteed that N never starts with 0 unless value is equal to zero.
Output :
Print the output for each test case in new line.
Constraints :
1 ≤ T ≤ 1000
0 ≤ |N| ≤ 1000
|N| is number of digits.
Problem Setter : Vinay Kumar
SAMPLE INPUT
8
1234567
123456
1234
193
12
11
1
0
SAMPLE OUTPUT
30
27
16
13
7
4
2
6
|
stdin
| null | 1,635 | 1 |
[
"8\n1234567\n123456\n1234\n193\n12\n11\n1\n0\n\nSAMPLE\n"
] |
[
"30\n27\n16\n13\n7\n4\n2\n6\n"
] |
[
"100\n29524202908583907894039338661216178710911861372053687530599932571543544842\n7049778545871980307022459018430334511388895985115839086087051006459788599287701584414315032332270148127048040398959482115360789724856782586537623763274923001993571359629402264753070775077386944071953003241617934223942601297616922524840223148\n61157339650341033487093016320198425468323489783341042443297209271919962402400736030394813855972085272624864059673602214711201709447801589986943406829410660752697587836744551911\n664960587004091070559915726863841339597399911010265288951559043196245997088112150890787053959280806616526559775076045842338278489040694562441168883569715752690706987634800918716265266952313603204267\n470518224519996040385989405682642695429090009804032532693151636097559470770872476651110457710511388445515702062837960125896079309164837319636031747759350177309236811654737352426313268585237470064341814559013654091041676513639063147722843308728034391964329448074748942475577570931328972947944511425883332101304539548732448101263764207430660\n351892654213314790564983613495650052239860312093269677130772269584728606669068686564597767115063755737313241301977329327238766231704458892922129074126961739454746491291605839947571368563601195936375636139135083129197577609302032595329554052596707475455395790961704859277636308068503352833140230817034707559576358784189595729920626016063120955843464533027110272094612134122926484839261972111611292407122334173868904112535797016259283436053551441073436007928745686929736101448675118910602609367982157787934711424336518090927845252941936527891244097196108014531856161716615739368070602613387484090283044539\n85484465958286145556795299865803544210707547362839530251147847293616806673319714667603729423342706318296549620089059343496720113776815489361562487611952547860357930690546905163027324699597522538599674464992395229600550414968739616062651902625595761734422295377005480673855526305698030271718618157436744496328088803021324107242188974533268268261685717150094224211674213259088346938863862404837116639955085819522510096446041763628736456949012463484220925211775670415031932180628152164606\n85462406209392830895902148808608164614234386761870563797799751698051596144913090368637529604863880139973365696825600673533931539545734290971863345302858371427693389710929105450212498235699578809790994927462683955970659509511401602194852243858347305475328599879008603837112148998635170041148049829302345551460426265489593399291223657235391656272732881322263507075898549604424817096320768019026527371454828400211064240064168732661828430271414630256485093897255358291440502965203053554163801348380624704113655160438966446702632627297600186704969976540412698950679561799381780799573517076882861919099147547739686057754335731125046982936809769385252918481794228016321933100260986299037119753866619822334582673412318259146424115218643001581822056873997852285026082312760042467075366363794218017260756752200\n278846302018446653845591575996013119942165920887371943290809432946150379881060809913235417570096602631731948140031584248005004766149225339345560818543345065753369503046192678652726272700476724895291022589377549367757896680060701014362411195323200109769966966169597949378002422632828727333249311135262065227793195269923447371406122640195064575191003349309669202668697113773204605961113090912390279912509859412120333832055204221342613718751173329602839550904250711212200317841723226174386801893234654607593685207824474056266709367939608199619513181588124996143838718829900854482730575264871176178272165462821096053\n702795991261456811293026013268050430949287452035154678590018836979185213958373008467536530543153261782399346746705550126380795023313864908694464132274002094718051538920909377983120622042433230405418400557458782967471815360423164905270117118424161\n65103465771193610943866629137494116452921250523738336908833872215852274390474949792594399879310895132772919325425976535515446458161438831984656343998760206861689843648836413057549415658246604500094899733038084948603659312962071670863178199783564131082270599867163692501671950563661010180068994563915174489467926237367385105771064793141309022647575223855322649038554807809293163697193747904027992572255394702281902496288690301879206756328847969208028907169367289084839715631772576369307433171271985878351728178926856529836286376053908270389181789461566404043868171128359289579615994634250637666778803943811784573956301486362969861357939029476864626066612900006461156059916815487285848058381929134961852754294112818646674966899\n9557386840081321507966625484488354204990110342414403085734394221862471494640802264583168797131439697958314494643291527599224370339257288640224553928889902461616751472356399974466264267603986551\n15770669523396050628877634163366836802777116913976755611047684487079569270881370967720854534173182030950158488404179176829266776199216223074834553682264112909629760482901315982242489192302566444404897058548992152261421970736476857552529338753992266655648285070748202136133422678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63997903624659443622491204215\n",
"8\n1234567\n123456\n1234\n193\n10\n11\n1\n0\n\nSAMPLE\n",
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163997903624659443622491204215\n",
"8\n1234567\n123456\n1234\n193\n10\n11\n0\n0\n\nSAMPLE\n",
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163997903624659443622491204215\n",
"8\n1234567\n123456\n1234\n193\n14\n11\n0\n0\n\nSAMPLE\n",
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163997903624659443622491204215\n",
"8\n1234567\n123456\n1850\n193\n14\n11\n0\n0\n\nSAMPLE\n",
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5163997903624659443622491204215\n"
] |
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"30\n27\n16\n13\n8\n4\n2\n6\n",
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"30\n27\n16\n13\n8\n4\n6\n6\n",
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"30\n27\n16\n13\n6\n4\n6\n6\n",
"365\n1179\n858\n1005\n1627\n2908\n2397\n3998\n2988\n1197\n3618\n952\n3803\n204\n4246\n424\n1237\n1999\n4341\n296\n3352\n3601\n3442\n2553\n519\n900\n2949\n260\n3630\n877\n874\n2828\n4257\n227\n3680\n4034\n1643\n3586\n3361\n2881\n30\n96\n3553\n4170\n2484\n456\n4179\n2880\n950\n115\n3630\n2294\n1213\n2145\n200\n3032\n4010\n625\n4226\n835\n3981\n2031\n659\n956\n3175\n1327\n462\n284\n1877\n896\n709\n2426\n597\n2932\n3777\n76\n1847\n2781\n295\n2474\n4057\n3248\n3579\n3088\n853\n1849\n3114\n1936\n138\n2180\n3741\n4671\n2599\n2311\n2295\n1272\n3114\n2484\n4845\n4847\n",
"30\n27\n20\n13\n6\n4\n6\n6\n",
"365\n1179\n858\n1005\n1627\n2908\n2397\n3998\n2988\n1197\n3618\n952\n3803\n204\n4246\n424\n1237\n1999\n4341\n296\n3352\n3601\n3442\n2553\n519\n900\n2949\n260\n3630\n877\n874\n2828\n4257\n227\n3680\n4034\n1643\n3586\n3361\n2881\n30\n96\n3553\n4170\n2484\n456\n4179\n2880\n950\n115\n3630\n2294\n1213\n2145\n200\n3032\n4010\n625\n4226\n835\n3981\n2031\n659\n956\n3175\n1327\n462\n284\n1877\n870\n709\n2426\n597\n2932\n3777\n76\n1847\n2781\n295\n2474\n4057\n3248\n3579\n3088\n853\n1849\n3114\n1936\n138\n2180\n3741\n4671\n2599\n2311\n2295\n1272\n3114\n2484\n4845\n4847\n",
"365\n1179\n858\n1005\n1627\n2908\n2397\n3998\n2988\n1197\n3618\n952\n3803\n204\n4246\n424\n1237\n1999\n4341\n296\n3352\n3601\n3442\n2553\n519\n900\n2949\n260\n3630\n877\n874\n2828\n4257\n227\n3680\n4034\n1643\n3586\n3361\n2881\n30\n96\n3553\n4170\n2484\n456\n4179\n2880\n950\n115\n3630\n2294\n1213\n2145\n200\n3032\n4010\n625\n4226\n835\n3981\n2031\n659\n956\n3175\n1327\n462\n284\n1877\n870\n709\n2426\n597\n2932\n3777\n76\n1847\n2781\n295\n2474\n4057\n3248\n3579\n3088\n810\n1849\n3114\n1936\n138\n2180\n3741\n4671\n2599\n2311\n2295\n1272\n3114\n2484\n4845\n4847\n"
] |
CodeContests
|
You are playing a game and your goal is to maximize your expected gain. At the beginning of the game, a pawn is put, uniformly at random, at a position p\in\\{1,2,\dots, N\\}. The N positions are arranged on a circle (so that 1 is between N and 2).
The game consists of turns. At each turn you can either end the game, and get A_p dollars (where p is the current position of the pawn), or pay B_p dollar to keep playing. If you decide to keep playing, the pawn is randomly moved to one of the two adjacent positions p-1, p+1 (with the identifications 0 = N and N+1=1).
What is the expected gain of an optimal strategy?
Note: The "expected gain of an optimal strategy" shall be defined as the supremum of the expected gain among all strategies such that the game ends in a finite number of turns.
Constraints
* 2 \le N \le 200,000
* 0 \le A_p \le 10^{12} for any p = 1,\ldots, N
* 0 \le B_p \le 100 for any p = 1, \ldots, N
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
B_1 B_2 \cdots B_N
Output
Print a single real number, the expected gain of an optimal strategy. Your answer will be considered correct if its relative or absolute error does not exceed 10^{-10}.
Examples
Input
5
4 2 6 3 5
1 1 1 1 1
Output
4.700000000000
Input
4
100 0 100 0
0 100 0 100
Output
50.000000000000
Input
14
4839 5400 6231 5800 6001 5200 6350 7133 7986 8012 7537 7013 6477 5912
34 54 61 32 52 61 21 43 65 12 45 21 1 4
Output
7047.142857142857
Input
10
470606482521 533212137322 116718867454 746976621474 457112271419 815899162072 641324977314 88281100571 9231169966 455007126951
26 83 30 59 100 88 84 91 54 61
Output
815899161079.400024414062
|
stdin
| null | 3,230 | 1 |
[
"10\n470606482521 533212137322 116718867454 746976621474 457112271419 815899162072 641324977314 88281100571 9231169966 455007126951\n26 83 30 59 100 88 84 91 54 61\n",
"14\n4839 5400 6231 5800 6001 5200 6350 7133 7986 8012 7537 7013 6477 5912\n34 54 61 32 52 61 21 43 65 12 45 21 1 4\n",
"5\n4 2 6 3 5\n1 1 1 1 1\n",
"4\n100 0 100 0\n0 100 0 100\n"
] |
[
"815899161079.400024414062\n",
"7047.142857142857\n",
"4.700000000000\n",
"50.000000000000\n"
] |
[
"10\n470606482521 533212137322 116718867454 746976621474 457112271419 815899162072 641324977314 88281100571 9231169966 455007126951\n26 83 30 59 000 88 84 91 54 61\n",
"14\n2094 5400 6231 5800 6001 5200 6350 7133 7986 8012 7537 7013 6477 5912\n34 54 61 32 52 61 21 43 65 12 45 21 1 4\n",
"5\n4 2 6 3 5\n0 1 1 1 1\n",
"4\n100 1 100 0\n0 100 0 100\n",
"14\n2094 5400 6231 5800 6001 5200 6350 7133 7986 8012 7537 7013 6477 5912\n32 54 61 32 52 61 21 43 65 12 45 21 1 4\n",
"5\n4 2 4 3 5\n0 1 1 1 1\n",
"5\n4 2 0 3 5\n0 1 1 1 1\n",
"4\n100 1 100 -1\n0 100 0 110\n",
"14\n2094 5400 6231 5800 6001 5200 6350 7133 7986 8012 7537 7013 6477 5912\n32 54 43 32 52 61 21 43 112 13 45 21 1 4\n",
"5\n4 2 0 3 5\n0 0 1 1 2\n"
] |
[
"815899161169.399999976158\n",
"7047.142857142857\n",
"4.900000000000\n",
"50.250000000000\n",
"7052.857142857143\n",
"3.900000000000\n",
"3.100000000000\n",
"50.000000000000\n",
"7106.857142857143\n",
"3.400000000000\n"
] |
CodeContests
|
F: Red-Black Soul Gem
problem
Homu-chan has the mysterious power to change the soul game to red or black, and to connect two different soul games with a magic thread. By using this power, Homu-chan can create a magic square by Sorujemu.
Homu-chan was wondering how many different magic squares there were when there were N numbered magic squares numbered from 1 to N, and the following conditions were met:
* You can only connect once between any of the two sources.
* All the colors of the game are either red or black.
* For any game, it is connected to at least one of the games whose color is different from its own.
At this time, the magic square can be regarded as a graph with the sorujemu as the apex and the magic thread as the side. Note that the graph does not have to be concatenated.
Homu-chan is not good at calculating, so let's create a fast program instead and calculate the number of different magic squares. However, the number is expected to be very large, so we will find the remainder after dividing by a prime number M.
Note that the magic squares G and H are different because the colors of G and H are different for a certain magic square v, or the pair u and v of a certain magic square is one of G and H. It means that it is connected only with.
Input format
N M
Constraint
* 2 \ leq N \ leq 2,000
* 10 ^ 8 \ leq M \ leq 10 ^ 9 + 7
* M is guaranteed to be prime
Output format
Divide the number of graphs that satisfy the condition by M and output the remainder as an integer on one line.
Input example 1
3 310779401
Output example 1
12
For example, the following magic squares meet the conditions.
Input example 2
7 566666561
Output example 2
98638848
For example, the following magic squares meet the conditions.
Input example 3
1010 1000000007
Output example 3
862232855
Note that we output the remainder after dividing by M.
Example
Input
3 310779401
Output
12
|
stdin
| null | 3,253 | 1 |
[
"3 310779401\n"
] |
[
"12\n"
] |
[
"4 310779401\n",
"1 310779401\n",
"6 310779401\n",
"2 310779401\n",
"12 310779401\n",
"8 310779401\n",
"15 310779401\n",
"5 310779401\n",
"14 310779401\n",
"14 262573741\n"
] |
[
"232\n",
"0\n",
"654848\n",
"2\n",
"249808283\n",
"142514354\n",
"79162835\n",
"8640\n",
"166031906\n",
"44118827\n"
] |
CodeContests
|
Aizu has an ancient legend of buried treasure. You have finally found the place where the buried treasure is buried. Since we know the depth of the buried treasure and the condition of the strata to be dug, we can reach the buried treasure at the lowest cost with careful planning. So you decided to create a program that reads the condition of the formation and calculates the route to reach the buried treasure depth at the lowest cost.
The state of the formation is represented by cells arranged in a two-dimensional grid, and the position of each cell is represented by the coordinates (x, y). Let the upper left be (1,1), and assume that the x coordinate increases as it goes to the right and the y coordinate increases as it goes deeper down. You choose one of the cells with the smallest y-coordinate and start digging from there, then dig into one of the cells with the largest y-coordinate. There are two types of cells in the formation:
1. A cell filled with soil. There is a fixed cost for each cell to dig.
2. Oxygen-filled cell. There is no need to dig, and each cell can be replenished with a fixed amount of oxygen. The oxygen in the cell that has been replenished with oxygen is exhausted and cannot be replenished again. Also, when you reach this cell, you must replenish oxygen.
Only left, right, and down cells can be dug from a cell. Once you have dug a cell, you can move it left or right, but you cannot move it up.
You must carry an oxygen cylinder with you when excavating. The moment the oxygen cylinder reaches zero, you will not be able to move, excavate, or replenish oxygen. The remaining amount is decremented by 1 each time you move the cell. Even if the remaining amount of the oxygen cylinder is 0 and the depth of the buried treasure is reached, it is not considered to have been reached. In addition, oxygen can be replenished in cells that have accumulated oxygen, but the excess capacity is discarded.
Create a program that inputs the size of the formation, the excavation cost, the capacity of the oxygen cylinder, the amount of oxygen in the initial state, and the information of the formation, and outputs the minimum cost to reach the deepest cell. However, if the minimum cost exceeds the excavation cost, or if you cannot reach the buried treasure no matter how you dig, please output "NA".
<image>
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by two zero lines. Each dataset is given in the following format.
W H
f m o
c1,1 c2,1 ... cW,1
c1,2 c2,2 ... cW,2
...
c1, H c2, H ... cW, H
The horizontal size W of the formation and the vertical size H (3 ≤ W, H ≤ 10) are given in the first line. The second line is the integer f (1 ≤ f ≤ 10000) that represents your excavation cost, the integer m (3 ≤ m ≤ 50) that represents the capacity of the oxygen cylinder, and the integer o that represents the amount of oxygen you have in the initial state. o ≤ m) is given.
The following H line is given the geological information ci, j. ci, j represents the cell information for coordinates (i, j) and is given in the following format:
If the value is negative, the cell is full of soil and the value represents the cost.
If the value is positive, it is a cell filled with oxygen, and the value represents the amount of oxygen.
However, there are no more than 50 cells in which oxygen has accumulated.
The number of datasets does not exceed 50.
Output
Print the minimum cost or NA on one line for each dataset.
Example
Input
3 3
100 10 10
-100 -20 -100
-100 -20 -100
-100 -20 -100
3 3
100 10 10
-100 -20 -100
-100 -20 -20
-100 -60 -20
3 3
100 10 3
-100 -20 -100
-20 -20 -20
-20 -100 -20
3 3
100 3 3
-100 -20 -30
-100 -20 2
-100 -20 -20
4 5
1500 5 4
-10 -380 -250 -250
-90 2 -80 8
-250 -130 -330 -120
-120 -40 -50 -20
-250 -10 -20 -150
0 0
Output
60
80
NA
50
390
|
stdin
| null | 421 | 1 |
[
"3 3\n100 10 10\n-100 -20 -100\n-100 -20 -100\n-100 -20 -100\n3 3\n100 10 10\n-100 -20 -100\n-100 -20 -20\n-100 -60 -20\n3 3\n100 10 3\n-100 -20 -100\n-20 -20 -20\n-20 -100 -20\n3 3\n100 3 3\n-100 -20 -30\n-100 -20 2\n-100 -20 -20\n4 5\n1500 5 4\n-10 -380 -250 -250\n-90 2 -80 8\n-250 -130 -330 -120\n-120 -40 -50 -20\n-250 -10 -20 -150\n0 0\n"
] |
[
"60\n80\nNA\n50\n390\n"
] |
[
"3 3\n100 10 10\n-100 -20 -100\n-100 -20 -100\n-100 -20 -100\n3 3\n100 10 10\n-100 -20 -100\n-100 -20 -20\n-100 -60 -20\n3 3\n100 10 3\n-100 -20 -100\n-20 -20 -20\n-20 -100 -20\n3 3\n100 3 3\n-100 -20 -30\n-100 -20 2\n-100 -20 -20\n4 5\n1500 5 4\n-10 -380 -250 -250\n-90 2 -80 8\n-250 -130 -330 -120\n-120 -40 -50 -6\n-250 -10 -20 -150\n0 0\n",
"3 3\n100 10 10\n-100 -20 -100\n-100 -20 -100\n-100 -20 -100\n3 3\n100 10 10\n-100 -20 -100\n-100 -20 -20\n-100 -60 -20\n3 3\n100 10 3\n-100 -20 -100\n-20 -20 -20\n-20 -100 -20\n3 3\n100 3 3\n-100 -20 -30\n-100 -20 2\n-100 -20 -20\n4 5\n1500 5 4\n-10 -380 -250 -250\n-90 2 -80 8\n-250 -130 -330 -120\n-120 -40 -50 -6\n-250 -10 -32 -150\n0 0\n",
"3 3\n100 10 10\n-100 -20 -100\n-100 -20 -100\n-100 -20 -100\n3 3\n100 10 10\n-100 -20 -100\n-100 -20 -20\n-100 -60 -20\n3 3\n100 10 3\n-100 -20 -100\n-20 -20 -20\n-20 -79 -20\n3 3\n110 3 3\n-100 -20 -30\n-100 -20 2\n-100 -20 -20\n4 5\n1500 5 4\n-10 -380 -250 -250\n-90 2 -80 8\n-250 -130 -330 -120\n-120 -40 -50 -12\n-250 -10 -32 -150\n0 0\n",
"3 3\n100 10 10\n-100 -20 -100\n-100 -20 -100\n-100 -20 -100\n3 3\n100 10 10\n-100 -20 -100\n-100 -20 -20\n-100 -60 -20\n3 3\n100 19 3\n-100 -20 -100\n-20 -20 -20\n-20 -100 -20\n3 3\n100 3 3\n-100 -20 -30\n-100 -20 2\n-100 -20 -20\n4 5\n1500 5 4\n-10 -380 -250 -250\n-90 2 -80 8\n-250 -130 -330 -120\n-120 -40 -50 -20\n-250 -10 -20 -150\n0 0\n",
"3 3\n100 10 10\n-100 -20 -100\n-100 -20 -100\n-100 -20 -100\n3 3\n100 10 10\n-100 -20 -100\n-100 -20 -20\n-100 -60 -20\n3 3\n100 10 3\n-100 -20 -100\n-20 -20 -20\n-20 -100 -20\n3 3\n100 3 3\n-100 -20 -30\n-100 -20 2\n-100 -20 -20\n4 5\n1500 0 4\n-10 -380 -250 -250\n-90 2 -80 8\n-250 -130 -330 -120\n-120 -40 -50 -6\n-250 -10 -20 -150\n0 0\n",
"3 3\n100 10 10\n-100 -20 -100\n-100 -20 -100\n-100 -20 -100\n3 3\n100 10 10\n-100 -20 -100\n-100 -20 -20\n-100 -60 -20\n3 3\n100 10 3\n-100 -20 -100\n-20 -20 -20\n-20 -79 -20\n3 3\n110 3 3\n-100 -20 -30\n-100 -20 2\n-100 -20 -14\n4 5\n1500 5 4\n-10 -380 -250 -250\n-90 2 -80 8\n-250 -130 -330 -120\n-120 -40 -50 -12\n-250 -10 -32 -150\n0 0\n",
"3 3\n100 10 10\n-100 -20 -100\n-100 -18 -100\n-100 -20 -100\n3 3\n100 10 10\n-100 -20 -100\n-100 -20 -20\n-100 -60 -20\n3 3\n100 10 3\n-100 -20 -100\n-20 -20 -20\n-20 -100 -20\n3 3\n100 3 3\n-100 -20 -30\n-100 -20 2\n-100 -20 -20\n4 5\n1500 5 4\n-10 -380 -250 -250\n-90 2 -80 8\n-250 -130 -330 -120\n-120 -40 -50 -6\n-250 -10 -20 -150\n0 0\n",
"3 3\n100 10 10\n-100 -20 -100\n-100 -20 -100\n-117 -20 -100\n3 3\n100 10 10\n-100 -20 -100\n-100 -20 -20\n-100 -60 -20\n3 3\n100 19 3\n-100 -20 -100\n-20 -20 -20\n-20 -100 -20\n3 3\n100 3 3\n-100 -20 -30\n-100 -20 2\n-127 -20 -20\n4 5\n1500 5 4\n-10 -380 -250 -312\n-90 2 -144 8\n-250 -130 -330 -120\n-120 -40 -50 -20\n-250 -10 -20 -150\n0 0\n",
"3 3\n100 10 10\n-100 -20 -100\n-100 -20 -100\n-100 -20 -100\n6 3\n100 10 10\n-100 -20 -100\n-100 -20 -20\n-100 -60 -20\n3 3\n100 10 3\n-100 -20 -100\n-20 -20 -20\n-8 -79 -20\n3 3\n110 3 3\n-100 -20 -30\n-100 -20 2\n-100 -20 -20\n4 5\n1500 5 4\n-10 -380 -250 -250\n-90 2 -80 8\n-250 -130 -330 -120\n-120 -40 -50 -6\n-250 -10 -32 -150\n0 0\n",
"3 3\n100 10 10\n-100 -20 -100\n-100 -20 -100\n-100 -20 -100\n3 3\n100 10 10\n-100 -20 -100\n-100 -20 -20\n-100 -60 -20\n3 3\n100 19 3\n-100 -20 -100\n-20 -20 -20\n-20 -100 -20\n3 3\n100 3 3\n-100 -20 -30\n-100 -20 2\n-100 -20 -20\n4 5\n1500 5 4\n-10 -380 -250 -250\n-90 2 -80 8\n-250 -130 -330 -120\n-122 -40 -50 -8\n-250 -10 -20 -150\n0 0\n"
] |
[
"60\n80\nNA\n50\n376\n",
"60\n80\nNA\n50\n388\n",
"60\n80\nNA\n50\n394\n",
"60\n80\nNA\n50\n390\n",
"60\n80\nNA\n50\nNA\n",
"60\n80\nNA\n44\n394\n",
"58\n80\nNA\n50\n376\n",
"60\n80\nNA\n50\n454\n",
"60\n40\nNA\n50\n388\n",
"60\n80\nNA\n50\n378\n"
] |
CodeContests
|
One of the simple ciphers is the affine cipher. First, replace the letters a to z with the numbers a = 0, b = 1, c = 2, ..., x = 23, y = 24, z = 25 and 0 to 25. Then replace the original alphabet with the following formula.
$ F (\ gamma) = (\ alpha \ cdot \ gamma + \ beta) $ mod $ 26 $
However, mod 26 represents the remainder after dividing by 26. For example, when $ \ alpha = 3, \ beta = 2 $, the alphabet'a'(= 0) is $ F (0) = (3 \ cdot 0 + 2) $ mod $ 26 = 2 $ and'c In', the alphabet'n'(= 13) is replaced with'p' at $ F (13) = (3 \ cdot 13 + 2) $ mod $ 26 = 15 $. At this time, it is assumed that $ \ alpha $ and $ \ beta $ are carefully selected so that $ F (\ gamma) $ is always associated with $ \ gamma $ on a one-to-one basis ($ \ alpha). As long as $ and 26 are relatively prime). $ F ('a') = 7, F ('n') = 7 $, as in $ \ alpha = 4, \ beta = 7 $, and'a'and'n' are the same'h' It will not be replaced by. Also, non-alphabetic characters are not replaced.
Create a program that outputs the encrypted character string decrypted into the original text. In the original text, as a keyword
that
this
It is assumed that one of the above is always included.
Input
Given multiple datasets. The first line gives the number of datasets $ n $ ($ n \ leq 30 $). It is followed by $ n $ rows of data. Each dataset is given an encrypted sentence of up to 256 characters consisting of lowercase letters and blanks on one line.
Output
For each dataset, output the decrypted original text on one line.
Example
Input
1
y eazqyp pnop pngtg ye obmpngt xmybp mr lygw
Output
i submit that there is another point of view
|
stdin
| null | 1,894 | 1 |
[
"1\ny eazqyp pnop pngtg ye obmpngt xmybp mr lygw\n"
] |
[
"i submit that there is another point of view\n"
] |
[
"1\nx eazqyp pnop pngtg ye obmpngt xmybp mr lygw\n",
"1\nx pyqzae pnop pngtg ye obmpngt xmybp mr lygw\n",
"1\nx pyqzae pnop pngtg ye onmpbgt xmybp mr lygw\n",
"1\nx pyqzae pnop pngtg ye pnmobgt xmybp mr lygw\n",
"1\nx pyqzae pnop pngtg ye pnmobgt xmybp rm lygw\n",
"1\nx pyqzae pnop pngtg yd pnmobgt xmybp rm lygw\n",
"1\nx pyqzae pnop pngth yd pnmobgt xmybp rm lygw\n",
"1\nx pyqzae pnop pngth yd pnmobgt xmybp rm wgyl\n",
"1\nx pyqzae pnop pngth yd pnmobgt xmybp rm wgzl\n",
"1\nx eazqyp pnop pngth yd pnmobgt xmybp rm wgzl\n"
] |
[
"p submit that there is another point of view\n",
"p timbus that there is another point of view\n",
"p timbus that there is ahotner point of view\n",
"p timbus that there is thoaner point of view\n",
"p timbus that there is thoaner point fo view\n",
"p timbus that there iz thoaner point fo view\n",
"p timbus that therx iz thoaner point fo view\n",
"p timbus that therx iz thoaner point fo weiv\n",
"p timbus that therx iz thoaner point fo webv\n",
"p submit that therx iz thoaner point fo webv\n"
] |
CodeContests
|
Search trees are data structures that support dynamic set operations including insert, search, delete and so on. Thus a search tree can be used both as a dictionary and as a priority queue.
Binary search tree is one of fundamental search trees. The keys in a binary search tree are always stored in such a way as to satisfy the following binary search tree property:
* Let $x$ be a node in a binary search tree. If $y$ is a node in the left subtree of $x$, then $y.key \leq x.key$. If $y$ is a node in the right subtree of $x$, then $x.key \leq y.key$.
The following figure shows an example of the binary search tree.
<image>
For example, keys of nodes which belong to the left sub-tree of the node containing 80 are less than or equal to 80, and keys of nodes which belong to the right sub-tree are more than or equal to 80. The binary search tree property allows us to print out all the keys in the tree in sorted order by an inorder tree walk.
A binary search tree should be implemented in such a way that the binary search tree property continues to hold after modifications by insertions and deletions. A binary search tree can be represented by a linked data structure in which each node is an object. In addition to a key field and satellite data, each node contains fields left, right, and p that point to the nodes corresponding to its left child, its right child, and its parent, respectively.
To insert a new value $v$ into a binary search tree $T$, we can use the procedure insert as shown in the following pseudo code. The insert procedure is passed a node $z$ for which $z.key = v$, $z.left = NIL$, and $z.right = NIL$. The procedure modifies $T$ and some of the fields of $z$ in such a way that $z$ is inserted into an appropriate position in the tree.
1 insert(T, z)
2 y = NIL // parent of x
3 x = 'the root of T'
4 while x ≠ NIL
5 y = x // set the parent
6 if z.key < x.key
7 x = x.left // move to the left child
8 else
9 x = x.right // move to the right child
10 z.p = y
11
12 if y == NIL // T is empty
13 'the root of T' = z
14 else if z.key < y.key
15 y.left = z // z is the left child of y
16 else
17 y.right = z // z is the right child of y
Write a program which performs the following operations to a binary search tree $T$.
* insert $k$: Insert a node containing $k$ as key into $T$.
* print: Print the keys of the binary search tree by inorder tree walk and preorder tree walk respectively.
You should use the above pseudo code to implement the insert operation. $T$ is empty at the initial state.
Constraints
* The number of operations $\leq 500,000$
* The number of print operations $\leq 10$.
* $-2,000,000,000 \leq key \leq 2,000,000,000$
* The height of the binary tree does not exceed 100 if you employ the above pseudo code.
* The keys in the binary search tree are all different.
Input
In the first line, the number of operations $m$ is given. In the following $m$ lines, operations represented by insert $k$ or print are given.
Output
For each print operation, print a list of keys obtained by inorder tree walk and preorder tree walk in a line respectively. Put a space character before each key.
Example
Input
8
insert 30
insert 88
insert 12
insert 1
insert 20
insert 17
insert 25
print
Output
1 12 17 20 25 30 88
30 12 1 20 17 25 88
|
stdin
| null | 4,054 | 1 |
[
"8\ninsert 30\ninsert 88\ninsert 12\ninsert 1\ninsert 20\ninsert 17\ninsert 25\nprint\n"
] |
[
"1 12 17 20 25 30 88\n 30 12 1 20 17 25 88\n"
] |
[
"8\ninsert 30\ninsert 88\ninsert 18\ninsert 1\ninsert 20\ninsert 17\ninsert 25\nprint\n",
"8\ninsert 30\ninsert 113\ninsert 18\ninsert 1\ninsert 20\ninsert 17\ninsert 25\nprint\n",
"8\ninsert 30\ninsert 88\ninsert 18\ninsert 1\ninsert 20\ninsert 21\ninsert 25\nprint\n",
"8\ninsert 30\ninsert 88\ninsert 24\ninsert 1\ninsert 20\ninsert 21\ninsert 25\nprint\n",
"8\ninsert 30\ninsert 88\ninsert 24\ninsert 1\ninsert 20\ninsert 21\ninsert 16\nprint\n",
"8\ninsert 30\ninsert 99\ninsert 12\ninsert 1\ninsert 20\ninsert 17\ninsert 25\nprint\n",
"8\ninsert 30\ninsert 88\ninsert 18\ninsert 0\ninsert 20\ninsert 21\ninsert 25\nprint\n",
"8\ninsert 30\ninsert 99\ninsert 12\ninsert 1\ninsert 20\ninsert 17\ninsert 19\nprint\n",
"8\ninsert 30\ninsert 88\ninsert 12\ninsert 1\ninsert 32\ninsert 17\ninsert 25\nprint\n",
"8\ninsert 30\ninsert 93\ninsert 18\ninsert 1\ninsert 20\ninsert 17\ninsert 25\nprint\n"
] |
[
"1 17 18 20 25 30 88\n 30 18 1 17 20 25 88\n",
"1 17 18 20 25 30 113\n 30 18 1 17 20 25 113\n",
"1 18 20 21 25 30 88\n 30 18 1 20 21 25 88\n",
"1 20 21 24 25 30 88\n 30 24 1 20 21 25 88\n",
"1 16 20 21 24 30 88\n 30 24 1 20 16 21 88\n",
"1 12 17 20 25 30 99\n 30 12 1 20 17 25 99\n",
"0 18 20 21 25 30 88\n 30 18 0 20 21 25 88\n",
"1 12 17 19 20 30 99\n 30 12 1 20 17 19 99\n",
"1 12 17 25 30 32 88\n 30 12 1 17 25 88 32\n",
"1 17 18 20 25 30 93\n 30 18 1 17 20 25 93\n"
] |
CodeContests
|
You are given an integer N. Among the integers between 1 and N (inclusive), how many Shichi-Go-San numbers (literally "Seven-Five-Three numbers") are there?
Here, a Shichi-Go-San number is a positive integer that satisfies the following condition:
* When the number is written in base ten, each of the digits `7`, `5` and `3` appears at least once, and the other digits never appear.
Constraints
* 1 \leq N < 10^9
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the number of the Shichi-Go-San numbers between 1 and N (inclusive).
Examples
Input
575
Output
4
Input
3600
Output
13
Input
999999999
Output
26484
|
stdin
| null | 373 | 1 |
[
"575\n",
"3600\n",
"999999999\n"
] |
[
"4\n",
"13\n",
"26484\n"
] |
[
"60\n",
"1134\n",
"656396080\n",
"1260308870\n",
"251112438\n",
"3669\n",
"4753\n",
"3412\n",
"5825\n",
"471776498\n"
] |
[
"0\n",
"6\n",
"20434\n",
"26484\n",
"8334\n",
"13\n",
"18\n",
"8\n",
"30\n",
"14384\n"
] |
CodeContests
|
There is a tree with N vertices numbered 1 through N. The i-th edge connects Vertex x_i and y_i. Each vertex is painted white or black. The initial color of Vertex i is represented by a letter c_i. c_i = `W` represents the vertex is white; c_i = `B` represents the vertex is black.
A cat will walk along this tree. More specifically, she performs one of the following in one second repeatedly:
* Choose a vertex that is adjacent to the vertex where she is currently, and move to that vertex. Then, invert the color of the destination vertex.
* Invert the color of the vertex where she is currently.
The cat's objective is to paint all the vertices black. She may start and end performing actions at any vertex. At least how many seconds does it takes for the cat to achieve her objective?
Constraints
* 1 ≤ N ≤ 10^5
* 1 ≤ x_i,y_i ≤ N (1 ≤ i ≤ N-1)
* The given graph is a tree.
* c_i = `W` or c_i = `B`.
Input
Input is given from Standard Input in the following format:
N
x_1 y_1
x_2 y_2
:
x_{N-1} y_{N-1}
c_1c_2..c_N
Output
Print the minimum number of seconds required to achieve the objective.
Examples
Input
5
1 2
2 3
2 4
4 5
WBBWW
Output
5
Input
6
3 1
4 5
2 6
6 1
3 4
WWBWBB
Output
7
Input
1
B
Output
0
Input
20
2 19
5 13
6 4
15 6
12 19
13 19
3 11
8 3
3 20
16 13
7 14
3 17
7 8
10 20
11 9
8 18
8 2
10 1
6 13
WBWBWBBWWWBBWWBBBBBW
Output
21
|
stdin
| null | 4,463 | 1 |
[
"20\n2 19\n5 13\n6 4\n15 6\n12 19\n13 19\n3 11\n8 3\n3 20\n16 13\n7 14\n3 17\n7 8\n10 20\n11 9\n8 18\n8 2\n10 1\n6 13\nWBWBWBBWWWBBWWBBBBBW\n",
"6\n3 1\n4 5\n2 6\n6 1\n3 4\nWWBWBB\n",
"5\n1 2\n2 3\n2 4\n4 5\nWBBWW\n",
"1\nB\n"
] |
[
"21\n",
"7\n",
"5\n",
"0\n"
] |
[
"6\n3 1\n4 5\n2 6\n2 1\n3 4\nWWBWBB\n",
"20\n2 19\n5 13\n6 4\n15 6\n12 19\n13 19\n3 11\n12 3\n3 20\n16 13\n7 14\n3 17\n7 8\n10 20\n11 9\n8 18\n8 2\n10 1\n6 13\nWBWBWBBWWWBBWWBBBBBW\n",
"20\n2 19\n5 13\n6 4\n15 6\n12 19\n13 19\n3 11\n12 3\n3 20\n16 13\n7 14\n3 17\n7 8\n10 20\n2 9\n8 18\n8 2\n10 1\n6 13\nWBWBWBBWWWBBWWBBBBBW\n",
"6\n3 1\n4 5\n2 6\n6 1\n3 5\nWWBWBB\n",
"20\n2 19\n5 13\n6 4\n15 6\n12 19\n13 19\n3 11\n12 3\n3 20\n16 13\n7 14\n3 17\n7 8\n10 20\n2 9\n8 18\n8 4\n10 1\n6 11\nWBWBWBBWWWBBWWBBBBBW\n",
"20\n2 19\n5 13\n6 4\n15 6\n12 19\n13 19\n3 11\n8 3\n3 20\n16 13\n7 14\n2 17\n7 8\n10 20\n11 9\n8 18\n8 2\n10 1\n6 13\nWBWBWBBWWWBBWWBBBBBW\n",
"6\n4 2\n4 5\n0 6\n2 1\n3 4\nWWBWBB\n",
"20\n2 19\n5 13\n6 4\n15 6\n12 19\n13 19\n3 11\n8 3\n3 20\n16 13\n7 14\n3 17\n7 8\n10 20\n2 9\n8 18\n8 2\n10 1\n6 13\nWBWBWBBWWWBBWWBBBBBW\n",
"6\n3 2\n4 5\n2 6\n2 1\n3 4\nBBWBWW\n",
"20\n2 19\n5 13\n6 4\n15 6\n12 19\n13 19\n3 11\n12 3\n6 20\n16 13\n7 14\n3 17\n7 8\n10 20\n2 9\n8 18\n8 4\n10 1\n6 13\nWBWBWBBWWWBBWWBBBBBW\n"
] |
[
"5\n",
"23\n",
"19\n",
"9\n",
"27\n",
"21\n",
"3\n",
"17\n",
"7\n",
"25\n"
] |
CodeContests
|
There is a string s consisting of `a` and `b`. Snuke can perform the following two kinds of operation any number of times in any order:
* Choose an occurrence of `aa` as a substring, and replace it with `b`.
* Choose an occurrence of `bb` as a substring, and replace it with `a`.
How many strings s can be obtained by this sequence of operations? Find the count modulo 10^9 + 7.
Constraints
* 1 \leq |s| \leq 10^5
* s consists of `a` and `b`.
Input
Input is given from Standard Input in the following format:
s
Output
Print the number of strings s that can be obtained, modulo 10^9 + 7.
Examples
Input
aaaa
Output
6
Input
aabb
Output
5
Input
ababababa
Output
1
Input
babbabaaba
Output
35
|
stdin
| null | 295 | 1 |
[
"babbabaaba\n",
"ababababa\n",
"aaaa\n",
"aabb\n"
] |
[
"35\n",
"1\n",
"6\n",
"5\n"
] |
[
"babbaababa\n",
"bbabababa\n",
"aaba\n",
"ababbbaba\n",
"baba\n",
"ababbbbba\n",
"abbabbaba\n",
"abaababbab\n",
"abaaababa\n",
"baabaababa\n"
] |
[
"28\n",
"9\n",
"4\n",
"17\n",
"1\n",
"30\n",
"26\n",
"35\n",
"16\n",
"31\n"
] |
CodeContests
|
Today is Kriti's birthday but I forgot to bring a gift for her. She is very angry with me. I have an idea for a gift. She likes coding very much. Why not give her a problem to solve as her gift?
I know a problem but I am not sure whether its solvable or not.
The problem initially has N strings numbered 1 to N. The program has to answer Q queries. Each query is of the form l r S. For each query, the program has to print the number of times the string S appears in the range [l,r].Help me by solving the problem!!
Input
Input will begin with an integer N denoting the number of strings.
N lines follows each having a string.
The next line contains Q denoting the number of queries.
Each of the next Q lines contain a query of the form l r S.
Output
For each query of type l r S, print the answer to that query. Each answer must be in a new line.
Constraints
100 ≤ N ≤ 100000
100 ≤ Q ≤ 100000
1 ≤ l ≤ r ≤ N
Size of each string in the input is greater than or equal to 5 and less than or equal to 10.
Each string contains only lower case english characters.
SAMPLE INPUT
3
abc
def
abc
3
1 2 abc
1 3 abc
1 2 hgj
SAMPLE OUTPUT
1
2
0
Explanation
For query 1:
Only one "abc" is present (at position 1st) in the range [1,2], so the answer is 1.
For query 2:
Two "abc" are present (at position 1 and at position 3), so the answer is 2.
For query 3:
No "hgf" is present in the range [1,2], so the answer is 0.
|
stdin
| null | 2,079 | 1 |
[
"3\nabc\ndef\nabc\n3\n1 2 abc\n1 3 abc\n1 2 hgj\n\nSAMPLE\n"
] |
[
"1\n2\n0\n"
] |
[
"3\nabc\ndef\nabc\n3\n1 4 abc\n1 3 abc\n1 2 hgj\n\nSAMPLE\n",
"3\nabc\ndge\nabd\n3\n1 4 abc\n1 3 abc\n1 2 hhj\n\nSAMPLE\n",
"3\nabc\ndge\nabd\n3\n1 4 abc\n2 3 abc\n1 2 hhj\n\nSAMPLE\n",
"3\nabc\ndgf\nabd\n3\n1 2 acc\n2 2 acc\n1 0 hhj\n\nSAMPLE\n",
"3\nabc\ndef\nabc\n3\n1 4 cba\n1 3 abc\n1 2 hgi\n\nSAMPLE\n",
"3\nabc\nged\ncaa\n1\n0 4 abc\n1 3 abc\n1 2 hgj\n\nSAMPLE\n",
"3\nabc\ndff\nabc\n3\n1 4 abc\n1 3 `bc\n1 3 hgj\n\nSAMPLE\n",
"3\nbac\ndge\nabd\n1\n1 4 cba\n2 3 bac\n0 4 hhj\n\nSAMPLE\n",
"3\nabc\ndff\nabc\n1\n1 4 abc\n1 3 cb`\n1 3 hgj\n\nSAMPME\n",
"3\nabc\ngde\nabd\n3\n0 1 bbc\n0 1 abc\n1 0 hji\n\nELPMAS\n"
] |
[
"2\n2\n0\n",
"1\n1\n0\n",
"1\n0\n0\n",
"0\n0\n0\n",
"0\n2\n0\n",
"1\n",
"2\n0\n0\n",
"0\n",
"2\n",
"0\n1\n0\n"
] |
CodeContests
|
Dolphin resides in two-dimensional Cartesian plane, with the positive x-axis pointing right and the positive y-axis pointing up.
Currently, he is located at the point (sx,sy). In each second, he can move up, down, left or right by a distance of 1.
Here, both the x- and y-coordinates before and after each movement must be integers.
He will first visit the point (tx,ty) where sx < tx and sy < ty, then go back to the point (sx,sy), then visit the point (tx,ty) again, and lastly go back to the point (sx,sy).
Here, during the whole travel, he is not allowed to pass through the same point more than once, except the points (sx,sy) and (tx,ty).
Under this condition, find a shortest path for him.
Constraints
* -1000 ≤ sx < tx ≤ 1000
* -1000 ≤ sy < ty ≤ 1000
* sx,sy,tx and ty are integers.
Input
The input is given from Standard Input in the following format:
sx sy tx ty
Output
Print a string S that represents a shortest path for Dolphin.
The i-th character in S should correspond to his i-th movement.
The directions of the movements should be indicated by the following characters:
* `U`: Up
* `D`: Down
* `L`: Left
* `R`: Right
If there exist multiple shortest paths under the condition, print any of them.
Examples
Input
0 0 1 2
Output
UURDDLLUUURRDRDDDLLU
Input
-2 -2 1 1
Output
UURRURRDDDLLDLLULUUURRURRDDDLLDL
|
stdin
| null | 3,003 | 1 |
[
"0 0 1 2\n",
"-2 -2 1 1\n"
] |
[
"UURDDLLUUURRDRDDDLLU\n",
"UURRURRDDDLLDLLULUUURRURRDDDLLDL\n"
] |
[
"-1 0 1 2\n",
"-2 -2 1 2\n",
"-1 0 1 4\n",
"-1 0 1 0\n",
"-2 -2 0 4\n",
"-2 0 1 0\n",
"-4 -2 0 4\n",
"0 0 1 0\n",
"-4 -4 0 4\n",
"-4 0 0 4\n"
] |
[
"UURRDDLLLUUURRRDRDDDLLLU\n",
"UUUURRRDDDDLLLLUUUUURRRRDRDDDDDLLLLU\n",
"UUUURRDDDDLLLUUUUURRRDRDDDDDLLLU\n",
"RRLLLURRRDRDLLLU\n",
"UUUUUURRDDDDDDLLLUUUUUUURRRDRDDDDDDDLLLU\n",
"RRRLLLLURRRRDRDLLLLU\n",
"UUUUUURRRRDDDDDDLLLLLUUUUUUURRRRRDRDDDDDDDLLLLLU\n",
"RLLURRDRDLLU\n",
"UUUUUUUURRRRDDDDDDDDLLLLLUUUUUUUUURRRRRDRDDDDDDDDDLLLLLU\n",
"UUUURRRRDDDDLLLLLUUUUURRRRRDRDDDDDLLLLLU\n"
] |
CodeContests
|
You have a cross-section paper with W x H squares, and each of them is painted either in white or black. You want to re-arrange the squares into a neat checkered pattern, in which black and white squares are arranged alternately both in horizontal and vertical directions (the figure shown below is a checkered patter with W = 5 and H = 5). To achieve this goal, you can perform the following two operations as many times you like in an arbitrary sequence: swapping of two arbitrarily chosen columns, and swapping of two arbitrarily chosen rows.
<image>
Create a program to determine, starting from the given cross-section paper, if you can re-arrange them into a checkered pattern.
Input
The input is given in the following format.
W H
c1,1 c1,2 ... c1,W
c2,1 c2,2 ... c2,W
:
cH,1 cH,2 ... cH,W
The first line provides the number of squares in horizontal direction W (2≤W≤1000) and those in vertical direction H(2≤H≤1000). Each of subsequent H lines provides an array of W integers ci,j corresponding to a square of i-th row and j-th column. The color of the square is white if ci,j is 0, and black if it is 1.
Output
Output "yes" if the goal is achievable and "no" otherwise.
Examples
Input
3 2
1 1 0
0 0 1
Output
yes
Input
2 2
0 0
1 1
Output
no
|
stdin
| null | 657 | 1 |
[
"3 2\n1 1 0\n0 0 1\n",
"2 2\n0 0\n1 1\n"
] |
[
"yes\n",
"no\n"
] |
[
"3 3\n1 1 0\n0 0 1\n",
"3 4\n1 1 0\n0 0 1\n",
"3 5\n1 1 0\n0 0 1\n",
"3 5\n1 1 0\n1 0 1\n",
"3 5\n1 1 0\n1 -1 1\n",
"3 3\n1 1 -1\n0 0 1\n",
"3 4\n1 1 0\n0 1 1\n",
"3 5\n1 0 0\n1 0 1\n",
"3 5\n1 1 -1\n1 0 1\n",
"3 4\n1 1 0\n0 1 0\n"
] |
[
"no\n",
"no\n",
"no\n",
"no\n",
"no\n",
"no\n",
"no\n",
"no\n",
"no\n",
"no\n"
] |
CodeContests
|
There are 2N points generally positioned on the circumference of a circle, numbered 1,\dots,2N in counterclockwise order. Here, a set of points is said to be generally positioned if, for any six distinct points U, V, W, X, Y, and Z among them, the segments UV, WX, and YZ do not intersect at the same point. Additionally, you will be given a 2N\times 2N matrix A.
Find the number of ways to divide the 2N points into N pairs such that all of the following are satisfied:
* Let us draw a red segment connecting the two points for each pair. Then, those red segments form a tree.
* For each pair (P, Q), A_{P,Q} = A_{Q,P} = 1 holds.
Here, a set of segments is said to form a tree if they are all connected and form no cycles.
For example, see the figure below:
* Upper left: the conditions are satisfied.
* Upper right: the red segments form a cycle, so the conditions are not satisfied.
* Lower left: the red segments are not connected, so the conditions are not satisfied.
* Lower right: some vertices belong to no pair or multiple pairs, so the conditions are not satisfied.
<image>
Figure: A division satisfying the conditions (upper left) and divisions violating them (the others)
Constraints
* 1 \leq N \leq 20
* A_{i,j} is `0` or `1`.
* A_{i,i} is `0`.
* A_{i,j}=A_{j,i}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
A_{1,1}...A_{1,2N}
:
A_{2N,1}...A_{2N,2N}
Output
Print the number of ways to divide the 2N points into N pairs such that all of the conditions are satisfied. It can be proved that the answer fits into a 64-bit signed integer under the given constraints.
Examples
Input
3
011111
101111
110111
111011
111101
111110
Output
3
Input
4
01111100
10011111
10011100
11101111
11110111
11111011
01011101
01011110
Output
6
Input
8
0111101111111111
1011101111111111
1101101111011101
1110111111111111
1111011111110111
0001101111111111
1111110111011111
1111111011111111
1111111101111111
1111111110111111
1101110111011111
1111111111101111
1111011111110111
1111111111111011
1101111111111101
1111111111111110
Output
4762
|
stdin
| null | 1,642 | 1 |
[
"4\n01111100\n10011111\n10011100\n11101111\n11110111\n11111011\n01011101\n01011110\n",
"3\n011111\n101111\n110111\n111011\n111101\n111110\n",
"8\n0111101111111111\n1011101111111111\n1101101111011101\n1110111111111111\n1111011111110111\n0001101111111111\n1111110111011111\n1111111011111111\n1111111101111111\n1111111110111111\n1101110111011111\n1111111111101111\n1111011111110111\n1111111111111011\n1101111111111101\n1111111111111110\n"
] |
[
"6\n",
"3\n",
"4762\n"
] |
[
"4\n01111100\n10011111\n10011100\n11101111\n11110111\n11111011\n01011101\n00011110\n",
"3\n011111\n101111\n110111\n110011\n111101\n111110\n",
"8\n0111101111111111\n1011101111111111\n1101101111011101\n1110111111111111\n1111011111110111\n0001101111111111\n1111110111011111\n1111111011111111\n1111111101111111\n1111111110111111\n1101110111011111\n1111111111101111\n1111011111110111\n1111111111111011\n1001111111111101\n1111111111111110\n",
"3\n011101\n111111\n110111\n110001\n111111\n111010\n",
"4\n00111101\n10011110\n10011100\n11101111\n11110111\n11111111\n01011111\n00011110\n",
"8\n0111101111111111\n1011101111111111\n1101101111011101\n1110111111111111\n1111011111110111\n0001101111111111\n1111110111011111\n1111111011111111\n1111111101111111\n1011111110111111\n1101110111011111\n0111111111101111\n1110011111110110\n0111111111110011\n1011111111111101\n1111111111111110\n",
"8\n0111101111111111\n1011101111111111\n1101101111011101\n1110111111111111\n1111011111110111\n0001101111111111\n1111110111011111\n1111111011111101\n1111111101111111\n1011111110111111\n1101110111011111\n0111111111101111\n1110011111110110\n0111111111110011\n1011111111111101\n1111111111111110\n",
"8\n0111101111111111\n1011101111111111\n1101101111011101\n1110111111111111\n1111011111110111\n0001101111111111\n1111110111011111\n1111111011111101\n1111111101111111\n1011111110111101\n1101110111011111\n0111111111101111\n1110011111110110\n0111111111110011\n1011111111111101\n1111111111111110\n",
"8\n0111101111111111\n1011101111111111\n1001101111011101\n1110111111111111\n1111011111010111\n0001101111111111\n1111110111011111\n1111111011111101\n1111111101111111\n1011111110111101\n1101110111011111\n0111111111101111\n0110011111110110\n0111111111110011\n1011111111111101\n1111111111111110\n",
"3\n111101\n110001\n110011\n110011\n111111\n010010\n"
] |
[
"6\n",
"3\n",
"4762\n",
"2\n",
"4\n",
"4324\n",
"4182\n",
"3977\n",
"3750\n",
"1\n"
] |
CodeContests
|
In Takahashi Kingdom, which once existed, there are N cities, and some pairs of cities are connected bidirectionally by roads. The following are known about the road network:
* People traveled between cities only through roads. It was possible to reach any city from any other city, via intermediate cities if necessary.
* Different roads may have had different lengths, but all the lengths were positive integers.
Snuke the archeologist found a table with N rows and N columns, A, in the ruin of Takahashi Kingdom. He thought that it represented the shortest distances between the cities along the roads in the kingdom.
Determine whether there exists a road network such that for each u and v, the integer A_{u, v} at the u-th row and v-th column of A is equal to the length of the shortest path from City u to City v. If such a network exist, find the shortest possible total length of the roads.
Constraints
* 1 \leq N \leq 300
* If i ≠ j, 1 \leq A_{i, j} = A_{j, i} \leq 10^9.
* A_{i, i} = 0
Inputs
Input is given from Standard Input in the following format:
N
A_{1, 1} A_{1, 2} ... A_{1, N}
A_{2, 1} A_{2, 2} ... A_{2, N}
...
A_{N, 1} A_{N, 2} ... A_{N, N}
Outputs
If there exists no network that satisfies the condition, print `-1`. If it exists, print the shortest possible total length of the roads.
Examples
Input
3
0 1 3
1 0 2
3 2 0
Output
3
Input
3
0 1 3
1 0 1
3 1 0
Output
-1
Input
5
0 21 18 11 28
21 0 13 10 26
18 13 0 23 13
11 10 23 0 17
28 26 13 17 0
Output
82
Input
3
0 1000000000 1000000000
1000000000 0 1000000000
1000000000 1000000000 0
Output
3000000000
|
stdin
| null | 4,705 | 1 |
[
"3\n0 1000000000 1000000000\n1000000000 0 1000000000\n1000000000 1000000000 0\n",
"3\n0 1 3\n1 0 2\n3 2 0\n",
"3\n0 1 3\n1 0 1\n3 1 0\n",
"5\n0 21 18 11 28\n21 0 13 10 26\n18 13 0 23 13\n11 10 23 0 17\n28 26 13 17 0\n"
] |
[
"3000000000\n",
"3\n",
"-1\n",
"82\n"
] |
[
"3\n0 1 3\n1 0 1\n3 0 0\n",
"3\n-1 1 3\n1 0 1\n3 0 0\n",
"3\n-1 1 3\n1 0 1\n5 0 0\n",
"3\n0 1 3\n1 0 1\n5 0 0\n",
"3\n0 0 3\n1 0 1\n3 1 0\n",
"3\n0 1 5\n1 0 1\n3 0 0\n",
"3\n0 1 3\n1 0 1\n5 0 -1\n",
"3\n0 0 3\n1 -1 1\n3 1 0\n",
"3\n1 1 3\n1 0 1\n5 0 -1\n",
"3\n0 0 3\n1 -1 1\n3 0 0\n"
] |
[
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
] |
CodeContests
|
Rama is in love with geometry. So once he was playing with circles and rectangles. Given the center of circle and radius and also the co-ordinates of vertices of rectangle, he wants to check whether the rectangle lies inside the circle or not.
Note: If all the vertices are lie the circumference of circle then it should be considered to be inside.
Input:
First line will contain a positive integer t - number of test cases.
For each test case there will be 5 lines - first will contain three space separated integers radius r, x co-ordinate of center xc and y co-ordinate of circle yc . For next 4 lines there will be 2 space separated numbers each, first denoting the x co-ordinate of that vertex(Xi) and the y co-ordinate of that vertex(Yi) of the rectangle.
Output:
For each test case, output a single line containing “Yes” (without quotes) if the rectangle lies inside the circle, or “No” (without quotes) if it does not lie inside.
Constraints:
1 ≤ t ≤ 10^4
1 ≤ r ≤ 10^4
-10^4 ≤ xc , yc , Xi , Yi ≤ 10^4
SAMPLE INPUT
1
5 0 0
-3 2
2 2
2 -2
-3 -2
SAMPLE OUTPUT
Yes
|
stdin
| null | 2,912 | 1 |
[
"1\n5 0 0\n-3 2\n2 2\n2 -2\n-3 -2\n\nSAMPLE\n"
] |
[
"Yes\n"
] |
[
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"1\n5 0 0\n-3 2\n2 4\n2 -2\n-3 -2\n\nSAMPLE\n",
"1\n3 0 0\n-3 2\n2 4\n2 -2\n-3 -2\n\nSAMPLE\n",
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] |
[
"No\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\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\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\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\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\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\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\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\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\nYes\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\n",
"Yes\n",
"No\n",
"No\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\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\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\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\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\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\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\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\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\nYes\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\n",
"No\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\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\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\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\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\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\nYes\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\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\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\nYes\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\n",
"No\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\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\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\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\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\nYes\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\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\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\nYes\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\n",
"No\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\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\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\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\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\nYes\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\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\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\nYes\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\n",
"No\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\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\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\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\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\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\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\nYes\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\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\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\nYes\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\n",
"No\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\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\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\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\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\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\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\nYes\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\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\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\nYes\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\n",
"No\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nYes\nYes\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\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\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\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\nYes\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\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\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\nYes\nNo\nNo\nNo\nNo\nYes\nNo\nNo\nYes\nNo\nNo\nNo\nNo\nNo\nNo\nYes\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\nYes\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\nYes\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\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\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\nYes\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\n"
] |
CodeContests
|
For a given sequence $A = \\{a_0, a_1, ... a_{n-1}\\}$, the number of pairs $(i, j)$ where $a_i > a_j$ and $i < j$, is called the number of inversions. The number of inversions is equal to the number of swaps of Bubble Sort defined in the following program:
bubbleSort(A)
cnt = 0 // the number of inversions
for i = 0 to A.length-1
for j = A.length-1 downto i+1
if A[j] < A[j-1]
swap(A[j], A[j-1])
cnt++
return cnt
For the given sequence $A$, print the number of inversions of $A$. Note that you should not use the above program, which brings Time Limit Exceeded.
Constraints
* $ 1 \leq n \leq 200,000$
* $ 0 \leq a_i \leq 10^9$
* $a_i$ are all different
Input
In the first line, an integer $n$, the number of elements in $A$, is given. In the second line, the elements $a_i$ ($i = 0, 1, .. n-1$) are given separated by space characters.
Examples
Input
5
3 5 2 1 4
Output
6
Input
3
3 1 2
Output
2
|
stdin
| null | 3,496 | 1 |
[
"3\n3 1 2\n",
"5\n3 5 2 1 4\n"
] |
[
"2\n",
"6\n"
] |
[
"3\n6 1 2\n",
"5\n3 10 2 1 4\n",
"3\n6 1 0\n",
"5\n3 10 1 1 4\n",
"3\n0 -1 1\n",
"5\n1 6 1 0 0\n",
"3\n-2 -2 -2\n",
"5\n0 -13 17 1 0\n",
"5\n2 0 -1 -2 -1\n",
"5\n4 1 0 0 -1\n"
] |
[
"2\n",
"6\n",
"3\n",
"5\n",
"1\n",
"7\n",
"0\n",
"4\n",
"8\n",
"9\n"
] |
CodeContests
|
Archith was a making noise in digital logic class.Sir was very frustrated by the behaviour of Archith. Sir asked archith to meet him in staff room. As archith reached staff room sir gave a smile and asked to complete this assignment in one day if not he will be suspended. Archith has low attendence so he has to complete the assignment in one day.Assignment consists of checking a parity of numbers and there were huge no of numbers .So he asked your help to sove this problem for him.
INPUT :
first line consists of T test cases.
Next T lines consists of decimal numbers N.
OUTPUT :
It should print the given number as "even" if the number has even number of 1's in binary form and "odd" if the number has odd number of 1's in binary form.
0<T<100
0<N<10^9
SAMPLE INPUT
2
12
14
SAMPLE OUTPUT
even
odd
|
stdin
| null | 1,874 | 1 |
[
"2\n12\n14\n\nSAMPLE\n"
] |
[
"even\nodd\n"
] |
[
"20\n212245523\n546843625\n456431356\n546463364\n584651321\n352145896\n53\n2\n32\n30\n32692\n32646\n41354\n4351\n312\n524\n54365\n58421\n54213\n23452\n",
"2\n23\n14\n\nSAMPLE\n",
"2\n23\n23\n\nSAMPLE\n",
"20\n310161823\n546843625\n444395944\n546463364\n584651321\n352145896\n53\n2\n32\n30\n32692\n32646\n41354\n4351\n312\n524\n54365\n58421\n54213\n23452\n",
"20\n4430180\n546843625\n444395944\n546463364\n1523601822\n352145896\n101\n2\n32\n30\n32692\n32646\n41354\n4351\n312\n524\n54365\n58421\n54213\n23452\n",
"20\n4430180\n546843625\n444395944\n546463364\n1523601822\n352145896\n101\n2\n32\n30\n32692\n32646\n41354\n4351\n312\n524\n40182\n58421\n54213\n23452\n",
"20\n4430180\n546843625\n444395944\n546463364\n1523601822\n352145896\n100\n2\n32\n30\n32692\n32646\n41354\n4351\n312\n524\n40182\n58421\n54213\n23452\n",
"20\n4430180\n546843625\n444395944\n546463364\n1523601822\n325443445\n100\n2\n32\n46\n32692\n32646\n41354\n4351\n312\n524\n40182\n58421\n54213\n23452\n",
"20\n4430180\n546843625\n444395944\n546463364\n1523601822\n325443445\n100\n2\n32\n46\n61025\n32646\n41354\n4351\n312\n524\n40182\n58421\n91994\n23452\n",
"20\n4430180\n546843625\n444395944\n546463364\n1523601822\n325443445\n101\n2\n32\n46\n61025\n32646\n41354\n4351\n312\n524\n40182\n58421\n91994\n23452\n"
] |
[
"odd\nodd\nodd\nodd\nodd\neven\neven\nodd\nodd\neven\nodd\neven\neven\nodd\neven\nodd\nodd\neven\nodd\nodd\n",
"even\nodd\n",
"even\neven\n",
"odd\nodd\neven\nodd\nodd\neven\neven\nodd\nodd\neven\nodd\neven\neven\nodd\neven\nodd\nodd\neven\nodd\nodd\n",
"even\nodd\neven\nodd\nodd\neven\neven\nodd\nodd\neven\nodd\neven\neven\nodd\neven\nodd\nodd\neven\nodd\nodd\n",
"even\nodd\neven\nodd\nodd\neven\neven\nodd\nodd\neven\nodd\neven\neven\nodd\neven\nodd\neven\neven\nodd\nodd\n",
"even\nodd\neven\nodd\nodd\neven\nodd\nodd\nodd\neven\nodd\neven\neven\nodd\neven\nodd\neven\neven\nodd\nodd\n",
"even\nodd\neven\nodd\nodd\nodd\nodd\nodd\nodd\neven\nodd\neven\neven\nodd\neven\nodd\neven\neven\nodd\nodd\n",
"even\nodd\neven\nodd\nodd\nodd\nodd\nodd\nodd\neven\nodd\neven\neven\nodd\neven\nodd\neven\neven\neven\nodd\n",
"even\nodd\neven\nodd\nodd\nodd\neven\nodd\nodd\neven\nodd\neven\neven\nodd\neven\nodd\neven\neven\neven\nodd\n"
] |
CodeContests
|
There is a right triangle ABC with ∠ABC=90°.
Given the lengths of the three sides, |AB|,|BC| and |CA|, find the area of the right triangle ABC.
It is guaranteed that the area of the triangle ABC is an integer.
Constraints
* 1 \leq |AB|,|BC|,|CA| \leq 100
* All values in input are integers.
* The area of the triangle ABC is an integer.
Input
Input is given from Standard Input in the following format:
|AB| |BC| |CA|
Output
Print the area of the triangle ABC.
Examples
Input
3 4 5
Output
6
Input
5 12 13
Output
30
Input
45 28 53
Output
630
|
stdin
| null | 1,365 | 1 |
[
"3 4 5\n",
"45 28 53\n",
"5 12 13\n"
] |
[
"6\n",
"630\n",
"30\n"
] |
[
"3 3 5\n",
"45 38 53\n",
"5 18 13\n",
"0 3 5\n",
"45 30 53\n",
"5 24 13\n",
"45 49 53\n",
"5 13 13\n",
"18 49 53\n",
"1 10 1\n"
] |
[
"4\n",
"855\n",
"45\n",
"0\n",
"675\n",
"60\n",
"1102\n",
"32\n",
"441\n",
"5\n"
] |
CodeContests
|
"Teishi-zushi", a Japanese restaurant, is a plain restaurant with only one round counter. The outer circumference of the counter is C meters. Customers cannot go inside the counter.
Nakahashi entered Teishi-zushi, and he was guided to the counter. Now, there are N pieces of sushi (vinegared rice with seafood and so on) on the counter. The distance measured clockwise from the point where Nakahashi is standing to the point where the i-th sushi is placed, is x_i meters. Also, the i-th sushi has a nutritive value of v_i kilocalories.
Nakahashi can freely walk around the circumference of the counter. When he reach a point where a sushi is placed, he can eat that sushi and take in its nutrition (naturally, the sushi disappears). However, while walking, he consumes 1 kilocalories per meter.
Whenever he is satisfied, he can leave the restaurant from any place (he does not have to return to the initial place). On balance, at most how much nutrition can he take in before he leaves? That is, what is the maximum possible value of the total nutrition taken in minus the total energy consumed? Assume that there are no other customers, and no new sushi will be added to the counter. Also, since Nakahashi has plenty of nutrition in his body, assume that no matter how much he walks and consumes energy, he never dies from hunger.
Constraints
* 1 ≤ N ≤ 10^5
* 2 ≤ C ≤ 10^{14}
* 1 ≤ x_1 < x_2 < ... < x_N < C
* 1 ≤ v_i ≤ 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N C
x_1 v_1
x_2 v_2
:
x_N v_N
Output
If Nakahashi can take in at most c kilocalories on balance before he leaves the restaurant, print c.
Examples
Input
3 20
2 80
9 120
16 1
Output
191
Input
3 20
2 80
9 1
16 120
Output
192
Input
1 100000000000000
50000000000000 1
Output
0
Input
15 10000000000
400000000 1000000000
800000000 1000000000
1900000000 1000000000
2400000000 1000000000
2900000000 1000000000
3300000000 1000000000
3700000000 1000000000
3800000000 1000000000
4000000000 1000000000
4100000000 1000000000
5200000000 1000000000
6600000000 1000000000
8000000000 1000000000
9300000000 1000000000
9700000000 1000000000
Output
6500000000
|
stdin
| null | 415 | 1 |
[
"15 10000000000\n400000000 1000000000\n800000000 1000000000\n1900000000 1000000000\n2400000000 1000000000\n2900000000 1000000000\n3300000000 1000000000\n3700000000 1000000000\n3800000000 1000000000\n4000000000 1000000000\n4100000000 1000000000\n5200000000 1000000000\n6600000000 1000000000\n8000000000 1000000000\n9300000000 1000000000\n9700000000 1000000000\n",
"3 20\n2 80\n9 120\n16 1\n",
"3 20\n2 80\n9 1\n16 120\n",
"1 100000000000000\n50000000000000 1\n"
] |
[
"6500000000\n",
"191\n",
"192\n",
"0\n"
] |
[
"3 20\n2 80\n5 120\n16 1\n",
"3 20\n2 1\n9 120\n16 1\n",
"3 20\n0 80\n9 1\n16 120\n",
"1 100100000000000\n50000000000000 1\n",
"15 10000000000\n400000000 1000000000\n800000000 1000000000\n1900000000 1000000000\n2400000000 1000000000\n2900000000 1000000000\n3300000000 1000000000\n3700000000 1000000000\n3800000000 1000000000\n4000000000 1000000000\n4100000000 1000000000\n5200000000 1000000000\n6600000000 1000000000\n8000000000 1000000001\n9300000000 1000000000\n9700000000 1000000000\n",
"3 20\n4 80\n9 120\n16 1\n",
"3 20\n2 80\n8 1\n16 120\n",
"3 20\n2 80\n8 1\n16 82\n",
"3 20\n2 80\n9 1\n20 120\n",
"3 20\n4 50\n9 120\n16 1\n"
] |
[
"195\n",
"112\n",
"196\n",
"0\n",
"6500000000\n",
"191\n",
"192\n",
"154\n",
"198\n",
"161\n"
] |
CodeContests
|
Takahashi is standing on a multiplication table with infinitely many rows and columns.
The square (i,j) contains the integer i \times j. Initially, Takahashi is standing at (1,1).
In one move, he can move from (i,j) to either (i+1,j) or (i,j+1).
Given an integer N, find the minimum number of moves needed to reach a square that contains N.
Constraints
* 2 \leq N \leq 10^{12}
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum number of moves needed to reach a square that contains the integer N.
Examples
Input
10
Output
5
Input
50
Output
13
Input
10000000019
Output
10000000018
|
stdin
| null | 5,010 | 1 |
[
"10000000019\n",
"50\n",
"10\n"
] |
[
"10000000018\n",
"13\n",
"5\n"
] |
[
"6069423871\n",
"83\n",
"19\n",
"605667865\n",
"72\n",
"33\n",
"927082247\n",
"40\n",
"5\n",
"223605823\n"
] |
[
"23434326\n",
"82\n",
"18\n",
"82100\n",
"15\n",
"12\n",
"61750\n",
"11\n",
"4\n",
"31934\n"
] |
CodeContests
|
Ikta, who was in trouble because he couldn't come up with an idea for the problem to be presented at the training camp of the programming contest, consulted with a friend one day.
Mr. Ikta "I want to create a problem that cannot be solved without using such an algorithm. Is there anything?"
Friend "Then why not think about something like this?"
In this way, the friend came up with the idea that would be the basis for the following problems.
Given binary numbers A and B, process the following query.
* Output query: Outputs the number of 1s when max {x is expressed in binary | A ≤ x <A + B}
* A change query: Inverts the i-th bit (0-origin) from the least significant bit of A
* B change query: Inverts the i-th bit (0-origin) from the least significant bit of B
Note that the i-bit is represented by 0-origin. That is, the 0th bit from the least significant bit of A represents the least significant bit.
Input
The input is given in the following format.
N A B
Q1
...
QN
The number of queries N, binary numbers A and B are given in the first line.
The following query is given in the 2nd to N + 1 lines.
* Q
* A i
* B i
Q represents the output query, and A i and B i represent the change query that inverts the i-th bit from the least significant bit of A and the i-th bit from the least significant bit of B, respectively.
Constraints
Each variable being input satisfies the following constraints.
* 1 ≤ N <300,000
* 1 ≤ | A |, | B | ≤ 300,000 (| A | is the length of A)
* In the query A i, 0 ≤ i <| A |
* In the query B i 0 ≤ i <| B |
* B can never be 0
Output
Print the answer on one line for each output query.
Examples
Input
4 10000 00101
Q
A 0
B 1
Q
Output
3
4
Input
9 0110111101 0010100111
Q
B 4
Q
A 4
Q
B 9
Q
A 8
Q
Output
9
9
9
10
9
|
stdin
| null | 1,825 | 1 |
[
"9 0110111101 0010100111\nQ\nB 4\nQ\nA 4\nQ\nB 9\nQ\nA 8\nQ\n",
"4 10000 00101\nQ\nA 0\nB 1\nQ\n"
] |
[
"9\n9\n9\n10\n9\n",
"3\n4\n"
] |
[
"9 0110111101 0010100111\nQ\nB 4\nQ\nB 4\nQ\nB 9\nQ\nA 8\nQ\n",
"9 0110011101 0010100111\nQ\nB 4\nQ\nB 4\nQ\nB 3\nQ\nA 8\nQ\n",
"9 0110011101 0010100111\nQ\nB 4\nQ\nB 4\nQ\nB 3\nQ\nA 8\nR\n",
"4 10000 00101\nQ\nA 0\nB 0\nQ\n",
"9 1110011001 0010100111\nQ\nB 4\nQ\nB 4\nQ\nB 3\nQ\nA 8\nR\n",
"9 0110011101 0010100111\nQ\nB 3\nQ\nB 4\nQ\nB 9\nQ\nA 8\nR\n",
"9 1110011001 0010110111\nQ\nB 4\nQ\nB 3\nQ\nB 3\nR\nA 8\nR\n",
"6 0110011101 0010100111\nQ\nB 6\nQ\nB 0\nQ\nB 3\nQ\nA 3\nR\n",
"9 0100011001 0010100111\nQ\nC 4\nQ\nB 3\nQ\nB 3\nQ\nA 12\nR\n",
"4 10000 00101\nQ\nA 0\nB 1\nP\n"
] |
[
"9\n9\n9\n10\n9\n",
"9\n9\n9\n9\n8\n",
"9\n9\n9\n9\n",
"3\n3\n",
"10\n10\n10\n10\n",
"9\n9\n9\n10\n",
"10\n10\n10\n",
"9\n9\n9\n",
"8\n8\n8\n8\n",
"3\n"
] |
CodeContests
|
Dr .: Peter, I've finally done it.
Peter: See you again? What kind of silly invention is this time?
Dr .: I finally came up with a revolutionary way to process mathematical formulas on a computer. Look at this table.
Ordinary notation | Dr.'s "breakthrough" notation
--- | ---
1 + 2 | 1 2 +
3 * 4 + 7 | 3 4 * 7 +
10 / (2 --12) | 10 2 12-/
(3-4) * (7 + 2 * 3) | 3 4 --7 2 3 * + *
Peter: Yeah.
Dr .: Fufufu. This alone won't tell you what it means to an inexperienced person. It's important from here.
Peter: I mean ...
Dr .: You know that computers have a data structure called a stack. Look, that's "first in, then out".
Peter: Yes. I know, that ...
Dr .: This groundbreaking notation uses that stack. For example, this 10 2 12-/, but process as follows.
Processing target | 10 | 2 | 12 |-| /
--- | --- | --- | --- | --- | ---
| ↓ | ↓ | ↓ | ↓ 2-12 | ↓ 10 / -10
Stack | |.
---
..
Ten
| ..
---
2
Ten
| 12
---
2
Ten
| ..
---
-Ten
Ten
| ..
---
..
-1
Dr .: How is it? You don't have to worry about parentheses or operator precedence, right? The word order is also "10 divided by 2 minus 12", which is somewhat similar to his Far Eastern island nation, Japanese. With this epoch-making invention, our laboratory is safe. Fafafa.
Peter: I mean, Doctor. I learned this in the basic course at the University of Aizu when I was in Japan. Everyone had a simple program called "Reverse Polish Notation".
Dr .: ...
So, instead of Peter, I decided to teach this program to the doctor. Create a program that inputs the formula written in "Reverse Polish Notation" and outputs the calculation result.
input
Given multiple datasets. For each dataset, a formula in Reverse Polish Notation (a string of up to 80 characters with integers and arithmetic symbols separated by one blank character (half-width)) is given on one line. No formula is given that divides a value by 0 or a value that is as close to 0 as possible.
The number of datasets does not exceed 50.
output
Output the calculation result (real number) on one line for each data set. The calculation result may include an error of 0.00001 or less.
Example
Input
10 2 12 - /
3 4 - 7 2 3 * + *
-1 -2 3 + +
Output
-1.000000
-13.000000
0.000000
|
stdin
| null | 4,468 | 1 |
[
"10 2 12 - /\n3 4 - 7 2 3 * + *\n-1 -2 3 + +\n"
] |
[
"-1.000000\n-13.000000\n0.000000\n"
] |
[
"10 2 12 - /\n6 4 - 7 2 3 * + *\n-1 -2 3 + +\n",
"10 2 12 - /\n9 4 - 7 2 3 * + *\n-1 -2 3 + +\n",
"10 2 12 - /\n9 4 - 7 2 6 * + *\n-1 -2 3 + +\n",
"10 2 12 - /\n9 4 - 7 2 6 * + *\n-1 -2 4 + +\n",
"10 2 23 - /\n9 4 - 7 2 6 * + *\n-1 -2 4 + +\n",
"10 2 23 - /\n9 4 - 7 2 6 * + *\n-1 -2 0 + +\n",
"10 2 23 - /\n4 4 - 7 2 6 * + *\n-1 -2 0 + +\n",
"10 2 41 - /\n4 4 - 7 2 6 + + *\n-1 -2 0 + +\n",
"10 2 82 - /\n4 4 - 7 2 6 * + *\n-1 -2 0 + +\n",
"10 0 82 - /\n4 4 - 7 0 3 * + *\n-1 -2 0 + +\n"
] |
[
"-1.000000\n26.000000\n0.000000\n",
"-1.000000\n65.000000\n0.000000\n",
"-1.000000\n95.000000\n0.000000\n",
"-1.000000\n95.000000\n1.000000\n",
"-0.476190\n95.000000\n1.000000\n",
"-0.476190\n95.000000\n-3.000000\n",
"-0.476190\n0.000000\n-3.000000\n",
"-0.256410\n0.000000\n-3.000000\n",
"-0.125000\n0.000000\n-3.000000\n",
"-0.121951\n0.000000\n-3.000000\n"
] |
CodeContests
|
E: Red Black Balloons
Story
Homura-chan's dream comes true. It means ICPC Asia regional contest 20xx will be held in Sapporo! Homura-chan has been working hard for the preparation. And finally, it's the previous day of the contest. Homura-chan started to stock balloons to be delivered to contestants who get accepted. However, she noticed that there were only two colors of balloons: red and black.
Problem Statement
ICPC Asia regional contest in Sapporo plans to provide N problems to contestants. Homura-chan is a professional of contest preparation, so she already knows how many contestants would get acceptance for each problem (!!), a_i contestants for the i-th problem. You can assume the prediction is perfectly accurate. Ideally, Homura-chan would assign a distinct color of a balloon to each problem respectively. But you know, she has only two colors red and black now. Thus, Homura-chan comes up with the idea to differentiate the size of balloons in K levels, that is, each problem has a balloon with a distinct pair of (color, size).
Homura-chan now has r_i red balloons with size i (1 \leq i \leq K) and b_j black balloons with size j (1 \leq j \leq K). Suppose we assign a pair (c_i, s_i) of a color c_i (red or black) and a size s_i to the i-th problem, for each i. As noted, we have to assign distinct pairs to each problem, more precisely, (c_i, s_i) \neq (c_j, s_j) holds for i \neq j. Moreover, the number of balloons with (c_i, s_i) must be no less than a_i. In the case that there are no such assignments, Homura-chan can change the size of balloons by her magic power. Note that Homura-chan doesn't know magic to change the color of balloons, so it's impossible.
Your task is to write a program computing the minimum number of balloons whose size is changed by Homura-chan's magic to realize an assignment satisfying the above-mentioned conditions. If there is no way to achieve such an assignment even if Homura-chan changes the size of balloons infinitely, output `-1` instead.
Input
N K
a_1 ... a_N
r_1 ... r_K
b_1 ... b_K
Constraints
* 1 \leq N,K \leq 60
* N \leq 2K
* 1 \leq a_i \leq 50 (1 \leq i \leq N)
* 1 \leq r_j,b_j \leq 50 (1 \leq j \leq K)
* Inputs consist only of integers.
Output
Output the minimum number of balloons whose size is changed to achieve an assignment in a line. If there are no ways to achieve assignments, output `-1` instead.
Sample Input 1
3 2
6 5 4
8 1
7 1
Output for Sample Input 1
3
Homura-chan changes the size of three red balloons from 1 to 2. Then she can assign (black,1) to the problem 1, (red,1) to the problem 2, and (red,2) to the problem 3.
Sample Input 2
2 1
50 50
2
3
Output for Sample Input 2
-1
Sample Input 3
4 3
3 10 28 43
40 18 2
26 7 11
Output for Sample Input 3
5
Example
Input
3 2
6 5 4
8 1
7 1
Output
3
|
stdin
| null | 1,988 | 1 |
[
"3 2\n6 5 4\n8 1\n7 1\n"
] |
[
"3\n"
] |
[
"3 2\n6 5 4\n8 1\n11 1\n",
"3 2\n6 5 4\n8 2\n11 1\n",
"3 0\n6 5 4\n8 1\n7 0\n",
"3 2\n7 5 3\n8 2\n12 0\n",
"0 2\n7 5 3\n8 2\n12 0\n",
"3 2\n6 5 7\n8 2\n11 1\n",
"3 2\n7 5 8\n8 2\n12 0\n",
"3 2\n6 5 4\n8 1\n7 0\n",
"3 2\n6 5 4\n7 1\n11 1\n",
"3 2\n6 5 4\n8 2\n12 1\n"
] |
[
"3\n",
"2\n",
"-1\n",
"1\n",
"0\n",
"4\n",
"5\n",
"3\n",
"3\n",
"2\n"
] |
CodeContests
|
You are given a connected graph with N vertices and M edges. The vertices are numbered 1 to N. The i-th edge is an undirected edge of length C_i connecting Vertex A_i and Vertex B_i.
Additionally, an odd number MOD is given.
You will be given Q queries, which should be processed. The queries take the following form:
* Given in the i-th query are S_i, T_i and R_i. Print `YES` if there exists a path from Vertex S_i to Vertex T_i whose length is R_i modulo MOD, and print `NO` otherwise. A path may traverse the same edge multiple times, or go back using the edge it just used.
Here, in this problem, the length of a path is NOT the sum of the lengths of its edges themselves, but the length of the first edge used in the path gets multiplied by 1, the second edge gets multiplied by 2, the third edge gets multiplied by 4, and so on. (More formally, let L_1,...,L_k be the lengths of the edges used, in this order. The length of that path is the sum of L_i \times 2^{i-1}.)
Constraints
* 1 \leq N,M,Q \leq 50000
* 3 \leq MOD \leq 10^{6}
* MOD is odd.
* 1 \leq A_i,B_i\leq N
* 0 \leq C_i \leq MOD-1
* 1 \leq S_i,T_i \leq N
* 0 \leq R_i \leq MOD-1
* The given graph is connected. (It may contain self-loops or multiple edges.)
Input
Input is given from Standard Input in the following format:
N M Q MOD
A_1 B_1 C_1
\vdots
A_M B_M C_M
S_1 T_1 R_1
\vdots
S_Q T_Q R_Q
Output
Print the answers to the i-th query in the i-th line.
Examples
Input
3 2 2 2019
1 2 1
2 3 2
1 3 5
1 3 4
Output
YES
NO
Input
6 6 3 2019
1 2 4
2 3 4
3 4 4
4 5 4
5 6 4
6 1 4
2 6 1110
3 1 1111
4 5 1112
Output
YES
NO
NO
Input
1 2 3 25
1 1 1
1 1 2
1 1 13
1 1 6
1 1 14
Output
YES
YES
YES
Input
10 15 10 15
1 2 1
2 3 6
3 4 6
2 5 1
5 6 1
4 7 6
1 8 11
2 9 6
5 10 11
9 10 11
3 6 1
2 5 1
2 7 11
9 10 11
5 6 11
1 3 5
9 8 3
7 7 7
7 10 13
4 1 10
9 3 12
10 10 14
9 2 1
6 6 5
8 8 4
Output
YES
NO
NO
NO
NO
NO
NO
YES
YES
NO
|
stdin
| null | 1,485 | 1 |
[
"3 2 2 2019\n1 2 1\n2 3 2\n1 3 5\n1 3 4\n",
"1 2 3 25\n1 1 1\n1 1 2\n1 1 13\n1 1 6\n1 1 14\n",
"10 15 10 15\n1 2 1\n2 3 6\n3 4 6\n2 5 1\n5 6 1\n4 7 6\n1 8 11\n2 9 6\n5 10 11\n9 10 11\n3 6 1\n2 5 1\n2 7 11\n9 10 11\n5 6 11\n1 3 5\n9 8 3\n7 7 7\n7 10 13\n4 1 10\n9 3 12\n10 10 14\n9 2 1\n6 6 5\n8 8 4\n",
"6 6 3 2019\n1 2 4\n2 3 4\n3 4 4\n4 5 4\n5 6 4\n6 1 4\n2 6 1110\n3 1 1111\n4 5 1112\n"
] |
[
"YES\nNO\n",
"YES\nYES\nYES\n",
"YES\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nYES\nNO\n",
"YES\nNO\nNO\n"
] |
[
"3 2 2 2019\n1 2 1\n2 3 2\n1 5 5\n1 3 4\n",
"1 2 3 25\n1 1 1\n1 1 1\n1 1 13\n1 1 6\n1 1 14\n",
"10 15 10 15\n1 2 1\n2 3 6\n3 4 6\n2 5 1\n5 6 1\n4 7 6\n1 8 11\n2 9 6\n5 10 11\n9 10 11\n3 6 1\n2 5 1\n2 7 11\n9 10 11\n5 6 11\n1 3 5\n9 8 3\n7 7 7\n7 10 13\n4 1 10\n9 3 12\n10 20 14\n9 2 1\n6 6 5\n8 8 4\n",
"6 6 3 2019\n1 2 4\n2 3 4\n3 3 4\n4 5 4\n5 6 4\n6 1 4\n2 6 1110\n3 1 1111\n4 5 1112\n",
"10 15 10 15\n1 2 1\n2 3 6\n3 4 6\n2 5 1\n5 6 1\n4 7 6\n1 8 11\n2 9 6\n5 10 11\n9 10 11\n6 6 1\n2 5 1\n2 7 11\n9 10 11\n5 6 11\n1 3 5\n9 8 3\n7 7 7\n7 10 13\n4 1 10\n9 3 12\n10 20 14\n9 2 1\n6 6 5\n8 8 4\n",
"0 6 3 3984\n1 2 4\n2 3 4\n3 3 4\n4 5 4\n5 6 4\n6 1 4\n2 6 1110\n3 1 1111\n4 5 1112\n",
"3 2 2 2019\n1 2 1\n2 3 3\n1 3 5\n1 3 4\n",
"1 2 3 25\n1 1 2\n1 1 2\n1 1 13\n1 1 6\n1 1 14\n",
"10 15 10 15\n1 2 1\n2 3 6\n3 4 6\n2 5 1\n5 6 1\n4 7 6\n1 8 11\n2 9 6\n5 10 11\n9 10 11\n3 6 1\n2 5 1\n2 7 11\n9 10 19\n5 6 11\n1 3 5\n9 8 3\n7 7 7\n7 10 13\n4 1 10\n9 3 12\n10 10 14\n9 2 1\n6 6 5\n8 8 4\n",
"6 6 3 2019\n1 2 4\n2 3 2\n3 3 4\n4 5 4\n5 6 4\n6 1 4\n2 6 1110\n3 1 1111\n4 5 1112\n"
] |
[
"NO\nNO\n",
"YES\nYES\nNO\n",
"YES\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nYES\nNO\n",
"YES\nNO\nNO\n",
"YES\nYES\nYES\nYES\nYES\nYES\nNO\nYES\nYES\nNO\n",
"NO\nNO\nNO\n",
"NO\nYES\n",
"NO\nYES\nYES\n",
"YES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\nYES\n",
"YES\nYES\nYES\n"
] |
CodeContests
|
Chef Datta likes betting in Indian Premier League very much.
He has 10000 rupees. Today the match is between team A and team B. The winning probability of team A is PA, and hence winning probability of team B is PB = 1 − PA.
Datta is free to bet any integral amount of money on any of the two teams as long as the total amount of money bet is at most 10000 rupees.
Help him know the expected amount of money he will eventually have if today he places his bet(s) optimally.
Rules of the game:
If team X with winning probability PX actually wins and someone bets M rupees on this team, he will gain (2*(1−PX)) * M rupees.
If team X with winning probability PX actually loses and someone bets N rupees on this team, he will just lose N rupees.
Input
First line contains single integer T, the number of testcases. Then T lines follow, each line contains PA the probability that team A wins.
Output
For each test case output single line containing the expected amount of money Datta will eventually have today if he places his bet(s) optimally. Your answer will be accepted if the absolute error is less than 10^−6.
Constraints
1 ≤ T ≤ 100001 (10^5+1)
0.0 ≤ PA ≤ 1.0
PA has at most 5 digits after the decimal point.
Example
Input:
1
0.510
Output:
10098
Example bet:
Look at the following situation:
If chef Datta bets 6,000 on team A and 4,000 on team B, the expected amount of money he will have after the bet is settled is 10,018. Apparently that is not the best he can do ;)
|
stdin
| null | 4,526 | 1 |
[
"1\n0.510\n"
] |
[
"10098.000000\n"
] |
[
"1\n0.6759186611344643\n",
"1\n0.708840981965978\n",
"1\n0.9294355565670196\n",
"1\n0.9595986277439509\n",
"1\n0.6186929279275386\n",
"1\n0.7729986640771538\n",
"1\n0.8236072058581279\n",
"1\n0.9545782907106495\n",
"1\n0.9787853794502042\n",
"1\n0.8720036342335278\n"
] |
[
"11140.239105\n",
"11216.118705\n",
"10606.057621\n",
"10371.368305\n",
"10905.169056\n",
"11239.421229\n",
"11141.639585\n",
"10412.954459\n",
"10203.145003\n",
"10952.302265\n"
] |
CodeContests
|
Chef has found two very old sheets of paper, each of which originally contained a string of lowercase Latin letters. The strings on both the sheets have equal lengths. However, since the sheets are very old, some letters have become unreadable.
Chef would like to estimate the difference between these strings. Let's assume that the first string is named S1, and the second S2. The unreadable symbols are specified with the question mark symbol '?'. The difference between the strings equals to the number of positions i, such that S1i is not equal to S2i, where S1i and S2i denote the symbol at the i the position in S1 and S2, respectively.
Chef would like to know the minimal and the maximal difference between the two strings, if he changes all unreadable symbols to lowercase Latin letters. Now that you're fully aware of Chef's programming expertise, you might have guessed that he needs you help solving this problem as well. Go on, help him!
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 a test case contains a string S1.
The second line of a test case contains a string S2.
Both strings consist of lowercase Latin letters and question marks in places where the symbols are unreadable.
Output
For each test case, output the minimal and the maximal difference between two given strings separated with a single space.
Constraints
1 ≤ T ≤ 100
1 ≤ |S1|, |S2| ≤ 100
Example
Input:
3
a?c
??b
???a
???a
?abac
aba?w
Output:
1 3
0 3
3 5
Explanation
Example case 1. You can change the question marks in the strings so that you obtain S1 = abc and S2 = abb. Then S1 and S2 will differ in one position. On the other hand, you can change the letters so that S1 = abc and S2 = bab. Then, the strings will differ in all three positions.
Example case 2. Change the question marks this way: S1 = dcba, S2 = dcba, then the strings will differ in 0 positions. You can also change the question marks so that S1 = aaaa, S2 = dcba, then the strings will differ in 3 positions.
Example case 3. Change the question marks this way: S1 = aabac, S2 = abaaw, then the strings will differ in 3 positions. Then, change the question marks this way: S1 = xabac, S2 = abayw, then they will differ in 5 positions.
|
stdin
| null | 993 | 1 |
[
"3\na?c\n??b\n???a\n???a\n?abac\naba?w\n"
] |
[
"1 3\n0 3\n3 5\n"
] |
[
"3\na?c\n??b\n???a\n@??a\n?abac\naba?w\n",
"3\na?c\n??b\n?>?a\n@??a\n?bbbc\naba?w\n",
"3\nc?a\n??b\n@>?a\n@?@a\nbb?bc\naba?w\n",
"3\na?c\nb??\n@>>a\n@?@a\nbb?bc\nw?aba\n",
"3\na?c\nb??\nA>>a\n@?@a\nbb?bc\nw?aba\n",
"3\na?c\nb??\na>>A\n@?@a\nbb?bc\nw?aba\n",
"3\nb?c\nb>?\na=>B\n@?@a\nba?bb\nw?aba\n",
"3\nb?c\nb?>\na=>B\n@?@a\nba?bb\nw?aba\n",
"3\nb?c\nb?>\na=>B\n@@@a\naa?bb\nw?aba\n",
"3\nb?c\nb?>\na=>B\n@@@a\nbb?ba\nw?aba\n"
] |
[
"1 3\n0 3\n3 5\n",
"1 3\n0 3\n2 4\n",
"1 3\n0 2\n2 4\n",
"1 3\n1 2\n2 4\n",
"1 3\n2 3\n2 4\n",
"1 3\n3 4\n2 4\n",
"0 2\n3 4\n2 4\n",
"1 2\n3 4\n2 4\n",
"1 2\n4 4\n2 4\n",
"1 2\n4 4\n1 3\n"
] |
CodeContests
|
Example
Input
1+2*3+4
11
Output
M
|
stdin
| null | 1,980 | 1 |
[
"1+2*3+4\n11\n"
] |
[
"M\n"
] |
[
"1+2*3+4\n9\n",
"0+1*3+4\n7\n",
"4+3*0+4\n8\n",
"3*1+0*4\n12\n",
"1+2*3+4\n7\n",
"0+2*3+4\n7\n",
"1+2+3+4\n11\n",
"0+2*3+4\n9\n",
"1+2*3+4\n14\n",
"4+3+2+1\n11\n"
] |
[
"I\n",
"U\n",
"M\n",
"L\n",
"I\n",
"I\n",
"I\n",
"I\n",
"I\n",
"I\n"
] |
CodeContests
|
Takahashi and Aoki will take N exams numbered 1 to N. They have decided to compete in these exams. The winner will be determined as follows:
* For each exam i, Takahashi decides its importance c_i, which must be an integer between l_i and u_i (inclusive).
* Let A be \sum_{i=1}^{N} c_i \times (Takahashi's score on Exam i), and B be \sum_{i=1}^{N} c_i \times (Aoki's score on Exam i). Takahashi wins if A \geq B, and Aoki wins if A < B.
Takahashi knows that Aoki will score b_i on Exam i, with his supernatural power.
Takahashi himself, on the other hand, will score 0 on all the exams without studying more. For each hour of study, he can increase his score on some exam by 1. (He can only study for an integer number of hours.) However, he cannot score more than X on an exam, since the perfect score for all the exams is X.
Print the minimum number of study hours required for Takahashi to win.
Constraints
* 1 \leq N \leq 10^5
* 1 \leq X \leq 10^5
* 0 \leq b_i \leq X (1 \leq i \leq N)
* 1 \leq l_i \leq u_i \leq 10^5 (1 \leq i \leq N)
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N X
b_1 l_1 u_1
b_2 l_2 u_2
:
b_N l_N u_N
Output
Print the minimum number of study hours required for Takahashi to win.
Examples
Input
2 100
85 2 3
60 1 1
Output
115
Input
2 100
85 2 3
60 10 10
Output
77
Input
1 100000
31415 2718 2818
Output
31415
Input
10 1000
451 4593 6263
324 310 6991
378 1431 7068
71 1757 9218
204 3676 4328
840 6221 9080
684 1545 8511
709 5467 8674
862 6504 9835
283 4965 9980
Output
2540
|
stdin
| null | 1,887 | 1 |
[
"2 100\n85 2 3\n60 1 1\n",
"10 1000\n451 4593 6263\n324 310 6991\n378 1431 7068\n71 1757 9218\n204 3676 4328\n840 6221 9080\n684 1545 8511\n709 5467 8674\n862 6504 9835\n283 4965 9980\n",
"2 100\n85 2 3\n60 10 10\n",
"1 100000\n31415 2718 2818\n"
] |
[
"115\n",
"2540\n",
"77\n",
"31415\n"
] |
[
"2 100\n85 2 6\n60 1 1\n",
"10 1000\n451 4593 6263\n324 310 9662\n378 1431 7068\n71 1757 9218\n204 3676 4328\n840 6221 9080\n684 1545 8511\n709 5467 8674\n862 6504 9835\n283 4965 9980\n",
"1 100000\n31415 2718 1443\n",
"2 100\n85 2 11\n60 1 1\n",
"10 1000\n451 4593 6263\n324 310 9662\n378 1431 7068\n71 1757 9218\n204 3676 4328\n840 6221 9080\n684 1545 8511\n709 5467 8674\n862 6504 9835\n356 4965 9980\n",
"10 1000\n12 4593 6263\n333 310 9662\n378 1431 7068\n71 1757 9218\n204 3676 4328\n840 6221 9080\n684 1545 8511\n709 5467 8674\n862 6504 9835\n356 4965 9980\n",
"10 1000\n12 4593 6263\n333 310 9662\n639 1431 7068\n71 1757 9218\n204 3676 4328\n840 6221 9080\n684 1545 8511\n709 5467 8674\n862 6504 9835\n356 4965 9980\n",
"10 1000\n12 4593 6263\n333 310 9662\n639 1431 7068\n71 1757 11462\n204 3676 4328\n840 6221 9080\n684 1545 8511\n709 5467 8674\n862 6504 9835\n356 4965 9980\n",
"10 1000\n12 4593 6263\n333 310 9662\n48 1431 7068\n71 1757 11462\n204 3676 4328\n840 6221 9080\n684 1545 8511\n709 5467 8674\n862 6504 9835\n356 4965 9980\n",
"10 1000\n12 4593 6263\n333 310 9662\n48 1431 7068\n71 1757 11462\n80 3676 4328\n840 6221 9080\n684 1545 8511\n709 5467 8674\n862 6504 9835\n356 4965 9980\n"
] |
[
"95\n",
"2540\n",
"31415\n",
"91\n",
"2652\n",
"2342\n",
"2400\n",
"2079\n",
"1967\n",
"1921\n"
] |
CodeContests
|
There are N cities and M roads. The i-th road (1≤i≤M) connects two cities a_i and b_i (1≤a_i,b_i≤N) bidirectionally. There may be more than one road that connects the same pair of two cities. For each city, how many roads are connected to the city?
Constraints
* 2≤N,M≤50
* 1≤a_i,b_i≤N
* a_i ≠ b_i
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N M
a_1 b_1
:
a_M b_M
Output
Print the answer in N lines. In the i-th line (1≤i≤N), print the number of roads connected to city i.
Examples
Input
4 3
1 2
2 3
1 4
Output
2
2
1
1
Input
2 5
1 2
2 1
1 2
2 1
1 2
Output
5
5
Input
8 8
1 2
3 4
1 5
2 8
3 7
5 2
4 1
6 8
Output
3
3
2
2
2
1
1
2
|
stdin
| null | 932 | 1 |
[
"4 3\n1 2\n2 3\n1 4\n",
"8 8\n1 2\n3 4\n1 5\n2 8\n3 7\n5 2\n4 1\n6 8\n",
"2 5\n1 2\n2 1\n1 2\n2 1\n1 2\n"
] |
[
"2\n2\n1\n1\n",
"3\n3\n2\n2\n2\n1\n1\n2\n",
"5\n5\n"
] |
[
"3 5\n1 2\n2 1\n1 2\n2 1\n1 2\n",
"3 5\n1 2\n2 1\n1 2\n1 1\n1 2\n",
"8 7\n1 2\n3 4\n1 5\n2 8\n3 7\n5 2\n4 1\n6 8\n",
"8 7\n1 3\n3 4\n1 5\n2 8\n3 7\n5 2\n4 1\n6 8\n",
"2 5\n1 2\n2 1\n1 2\n2 2\n1 2\n",
"8 7\n1 3\n3 4\n1 5\n2 8\n3 7\n5 2\n5 1\n6 8\n",
"4 3\n1 2\n4 3\n1 4\n",
"8 8\n1 2\n3 4\n1 5\n2 8\n3 7\n5 2\n4 2\n6 8\n",
"3 5\n1 2\n2 1\n1 3\n2 1\n1 2\n",
"5 5\n1 2\n2 1\n1 2\n1 1\n1 2\n"
] |
[
"5\n5\n0\n",
"6\n4\n0\n",
"3\n3\n2\n2\n2\n0\n1\n1\n",
"3\n2\n3\n2\n2\n0\n1\n1\n",
"4\n6\n",
"3\n2\n3\n1\n3\n0\n1\n1\n",
"2\n1\n1\n2\n",
"2\n4\n2\n2\n2\n1\n1\n2\n",
"5\n4\n1\n",
"6\n4\n0\n0\n0\n"
] |
CodeContests
|
Task is simple. You are provided with a string of curly brackets and you have to do the following -
Print 0 if the brackets are balanced.
Print k if it is unbalanced, where k is the number of actions performed to balance it.
Print -1 if it cannot be balanced.
Definition of a Balanced String -
{ } is a balanced string.
{ s } is a balanced string, where s itself is a balanced string.
stu is a balanced string, where s, t and u are balanced individually.
Example - { }, { { } }, { { } } { } { } { { } } are balanced strings. { { } } { { is an unbalanced string.
Input-
T is the number of test cases.
For each test case input the string of curly brackets, each string's termination point is a return key(enter key).
Output-
A single integer denoting the answer to the string.
Constraints
1 ≤ t ≤ 10
1 ≤ length of string ≤ 10^9
NOTE :- Each string ends with an dot(.) and every bracket is separated by a space.
SAMPLE INPUT
4
{ { { } .
} { .
{ } { } { } .
{ } { } } .
SAMPLE OUTPUT
1
2
0
-1
Explanation
In the first case - the 2nd bracket have to be a closing one i.e. } so that the string becomes { } { }, so attempts = 1.
In the second case - both the brackets have to be opposite, so the attempts made = 2.
|
stdin
| null | 3,786 | 1 |
[
"4\n{ { { } .\n} { .\n{ } { } { } .\n{ } { } } .\n\nSAMPLE\n"
] |
[
"1\n2\n0\n-1\n"
] |
[
"4\n{ { { } .\n} { .\n{ } { } { } .\n{ } { } } .\n\nELPMAS\n",
"4\n{ { { } .\n} { .\n{ } { } | } -\n{ } { } } .\n\nFLPMAS\n",
"4\n{ { { } .\n} | -\n{ } { } { } .\n{ } { } } .\n\nASMPLE\n",
"4\n{ { { ~ -\n} { .\n{ } { } { } .\n{ } { } } .\n\nLAMPSE\n",
"4\n{ { { } .\n} { .\n{ { { } { } .\n{ } { } } .\n\nDLQMS@\n",
"4\n{ { { } .\n} { .\n{ } { } { } .\n{ } { } } .\n\nASMPLE\n",
"4\n{ { { } .\n} { .\n{ } { } { } .\n{ } { } } .\n\nLAMPSE\n",
"4\n{ { { } .\n} { .\n{ } { } { } .\n{ } { } } .\n\nFLPMAS\n",
"4\n{ { { } .\n} { .\n{ } { } { } .\n{ } { } } .\n\nSANPLE\n",
"4\n{ { { } .\n} { .\n{ } { } { } .\n{ } { } } .\n\nALPMES\n"
] |
[
"1\n2\n0\n-1\n",
"1\n2\n-1\n-1\n",
"1\n-1\n0\n-1\n",
"-1\n2\n0\n-1\n",
"1\n2\n1\n-1\n",
"1\n2\n0\n-1\n",
"1\n2\n0\n-1\n",
"1\n2\n0\n-1\n",
"1\n2\n0\n-1\n",
"1\n2\n0\n-1\n"
] |
CodeContests
|
Problem B: Blame Game
Alice and Bob are in a factional dispute. Recently a big serious problem arised in a project both Alice and Bob had been working for. This problem was caused by lots of faults of Alice's and Bob's sides; those faults are closely related.
Alice and Bob started to blame each other. First, Alice claimed it was caused by Bob's fault. Then Bob insisted his fault was led by Alice's fault. Soon after, Alice said that her fault should not have happened without Bob's another fault. So on so forth. It was terrible. It was totally a blame game. Still, they had their pride. They would not use the same fault more than once in their claims.
All right, let's see the situation in terms of a game.
Alice and Bob have a number of faults. Some pairs of Alice and Bob faults have direct relationship between them. This relationship is bidirectional; if a fault X is led by another fault Y, they can say either "X was due to Y." or "even with X, the problem could be avoided without Y." Note that not both, since they never pick up the same fault in their claims.
Alice and Bob take their turns alternatively. Alice takes the first turn by claiming any of Bob's faults. Then Bob makes his claim with Alice's fault directly related to the claimed fault. Afterward, in each turn, one picks up another's fault directly related to the fault claimed in the previous turn. If he/she has no faults that have not been claimed, then he/she loses this game.
By the way, you have been working both under Alice and Bob. You know all the faults and relationships. Your task is to write a program to find out which would win this game, under the assumption that they always take their optimal strategies. If you could choose the winning side, you would not have to take the responsibility for the arisen problem.
Input
Each input contains one test case. The first line of the input contains two integers N and M (0 <= N, M <= 500), which denote the numbers of Alice's and Bob's faults respectively. Alice's faults are numbered from 1 to N; so are Bob's from 1 to M. Then N lines follow to describe the relationships among the faults. The i-th line begins with a non-negative integer Ki (0 <= Ki <= M). It is then followed by Ki positive integers, where the j-th number bi,j (1 <= bi,j <= M) indicates there is a direct relationship between the i-th Alice's fault and the bi,j-th Bob's fault. It is guaranteed that bi,j != bi,j' for all i, j, j' such that 1 <= i <= N and 1 <= j < j' <= Ki.
Output
Print either "Alice" or "Bob" to indicate the winner of the blame game.
Examples
Input
1 1
1 1
Output
Bob
Input
3 3
3 1 2 3
1 3
1 3
Output
Alice
|
stdin
| null | 2,418 | 1 |
[
"1 1\n1 1\n",
"3 3\n3 1 2 3\n1 3\n1 3\n"
] |
[
"Bob\n",
"Alice\n"
] |
[
"1 1\n2 1\n",
"1 1\n0 1\n",
"3 3\n3 0 2 3\n1 3\n1 3\n",
"1 2\n2 1\n",
"1 2\n0 1\n",
"1 2\n0 0\n",
"1 1\n0 2\n",
"2 1\n0 0\n",
"1 2\n1 0\n",
"3 3\n3 0 2 3\n1 3\n0 3\n"
] |
[
"Bob\n",
"Alice\n",
"Alice\n",
"Alice\n",
"Alice\n",
"Alice\n",
"Alice\n",
"Alice\n",
"Alice\n",
"Alice\n"
] |
CodeContests
|
Tetris is a game in which falling blocks are lined up on the board and erased. Here, let's consider a game that arranges it a little.
The size of the board of this game is 5 frames wide, and it is high enough to accommodate all the blocks that appear. The falling blocks are straight and come in two types, landscape and portrait, with five lengths from 1 to 5.
An example is shown below. The figure from Step (a) to Step (e) shows how the blocks fall and disappear. From Step (a), proceed in order of Step (b) and Step (c).
When dropping a block, if somewhere in the block is caught in a block piled up like Step (a), the dropped block like Step (b) will stop at that place. Also, as a result of dropping a block, if all the frames in a horizontal line on the board are clogged with blocks, the blocks in that line will disappear as shown in Step (d). After this, the block above the disappeared line will move down one line as it is (Step (e)).
<image>
In one game, up to 1000 blocks will be dropped in order. For example, the lengths of the falling blocks are 4 frames horizontally, 3 frames horizontally, 2 frames vertically, and 3 frames vertically, and the falling locations are the 1st, 1st, 4th, and 5th frames from the left end. If there is, it will drop as shown in Step (a) to (g) in the figure below, and the last remaining block will be 2 frames.
<image>
Create a program that inputs the information of the blocks that fall in order and outputs the number of frames remaining when all the blocks fall.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format:
n
d1 p1 q1
d2 p2 q2
::
dn pn qn
The number of blocks n (1 ≤ n ≤ 1000) is given on the first line. The next n lines give the i-th block orientation di (1 or 2), the block length pi (1 ≤ pi ≤ 5), and the block position qi. Block orientation di is 1 for landscape orientation and 2 for portrait orientation. The block position qi is an integer from 1 to 5 from the left edge on the board, and in the case of a horizontal block, it is the position where the left edge frame falls.
The number of datasets does not exceed 20.
Output
The number of frames occupied by the last remaining block for each data set is output on one line.
Example
Input
4
1 4 1
1 3 1
2 2 4
2 3 5
1
1 5 1
7
2 2 2
1 4 1
2 1 3
1 4 1
1 1 1
2 5 5
1 4 2
0
Output
2
0
6
|
stdin
| null | 3,360 | 1 |
[
"4\n1 4 1\n1 3 1\n2 2 4\n2 3 5\n1\n1 5 1\n7\n2 2 2\n1 4 1\n2 1 3\n1 4 1\n1 1 1\n2 5 5\n1 4 2\n0\n"
] |
[
"2\n0\n6\n"
] |
[
"4\n1 4 1\n1 3 2\n2 2 4\n2 3 5\n1\n1 5 1\n7\n2 2 2\n1 4 1\n2 1 3\n1 4 1\n1 1 1\n2 5 5\n1 4 2\n0\n",
"4\n1 4 1\n1 3 2\n1 2 4\n2 3 5\n1\n1 5 1\n7\n2 2 2\n1 4 1\n2 1 3\n1 4 1\n1 1 1\n2 5 5\n1 4 2\n0\n",
"4\n1 4 1\n1 3 1\n2 2 4\n2 3 5\n1\n1 5 1\n7\n2 2 2\n1 1 1\n2 1 3\n1 4 1\n1 1 1\n2 5 5\n1 4 2\n0\n",
"4\n2 4 1\n1 3 1\n2 2 4\n2 3 5\n1\n1 5 1\n7\n2 2 2\n1 1 1\n2 1 3\n1 4 1\n1 1 1\n2 5 5\n1 4 2\n0\n",
"4\n1 4 1\n1 2 2\n2 2 4\n2 3 5\n1\n1 5 1\n7\n2 2 2\n1 4 1\n2 1 3\n1 4 1\n1 1 1\n2 5 5\n1 4 2\n0\n",
"4\n1 4 1\n1 3 2\n2 2 4\n2 3 5\n1\n1 5 1\n7\n2 2 2\n1 3 1\n2 1 3\n1 4 1\n1 1 1\n2 5 5\n1 4 2\n0\n",
"4\n1 4 1\n1 3 1\n2 2 4\n2 1 5\n1\n1 5 1\n7\n2 2 2\n1 1 1\n2 1 3\n1 4 1\n1 1 1\n2 5 5\n1 4 2\n0\n",
"4\n2 4 1\n1 3 1\n2 2 4\n2 3 5\n1\n1 5 1\n7\n2 2 2\n1 1 1\n2 0 3\n1 4 1\n1 1 1\n2 5 5\n1 4 2\n0\n",
"4\n1 4 1\n1 2 2\n1 2 4\n2 3 5\n1\n1 5 1\n7\n2 2 2\n1 4 1\n2 1 3\n1 4 1\n1 1 1\n2 5 5\n1 4 2\n0\n",
"4\n1 4 1\n1 3 2\n2 2 4\n2 3 5\n1\n1 5 1\n7\n2 2 2\n1 3 1\n2 1 5\n1 4 1\n1 1 1\n2 5 5\n1 4 2\n0\n"
] |
[
"7\n0\n6\n",
"12\n0\n6\n",
"2\n0\n13\n",
"12\n0\n13\n",
"6\n0\n6\n",
"7\n0\n10\n",
"5\n0\n13\n",
"12\n0\n12\n",
"11\n0\n6\n",
"7\n0\n15\n"
] |
CodeContests
|
An extension of a complex number is called a quaternion. It is a convenient number that can be used to control the arm of a robot because it is convenient for expressing the rotation of an object. Quaternions are $ using four real numbers $ x $, $ y $, $ z $, $ w $ and special numbers (extended imaginary numbers) $ i $, $ j $, $ k $. It is expressed as x + yi + zj + wk $. The sum of such quaternions is defined as:
$ (x_1 + y_1 i + z_1 j + w_1 k) + (x_2 + y_2 i + z_2 j + w_2 k) = (x_1 + x_2) + (y_1 + y_2) i + (z_1 + z_2) j + (w_1 + w_2) k $
On the other hand, the product between 1, $ i $, $ j $, and $ k $ is given as follows.
<image>
This table represents the product $ AB $ of two special numbers $ A $ and $ B $. For example, the product $ ij $ of $ i $ and $ j $ is $ k $, and the product $ ji $ of $ j $ and $ i $ is $ -k $.
The product of common quaternions is calculated to satisfy this relationship. For example, the product of two quaternions, $ 1 + 2i + 3j + 4k $ and $ 7 + 6i + 7j + 8k $, is calculated as follows:
$ (1 + 2i + 3j + 4k) \ times (7 + 6i + 7j + 8k) = $
$ 7 + 6i + 7j + 8k $
$ + 14i + 12i ^ 2 + 14ij + 16ik $
$ + 21j + 18ji + 21j ^ 2 + 24jk $
$ + 28k + 24ki + 28kj + 32k ^ 2 $
By applying the table above
$ = -58 + 16i + 36j + 32k $
It will be.
Two quaternions ($ x_1 + y_1 i + z_1 j + w_1 k $) and ($) where the four coefficients $ x $, $ y $, $ z $, $ w $ are integers and not all zeros x_2 + y_2 i + z_2 j + w_2 k $), and the product is ($ x_3 + y_3 i + z_3 j + w_3 k $), $ x_3 $, $ y_3 $, $ z_3 $, $ Create a program that outputs w_3 $.
input
Given multiple datasets. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format:
$ n $
$ data_1 $
$ data_2 $
::
$ data_n $
The first line gives the number of pairs of quaternions to process $ n $ ($ n \ leq 10 $). The following $ n $ line is given the $ i $ th quaternion pair of information $ data_i $ in the following format:
$ x_1 $ $ y_1 $ $ z_1 $ $ w_1 $ $ x_2 $ $ y_2 $ $ z_2 $ $ w_2 $
All coefficients given should be -1000 or more and 1000 or less. The number of datasets does not exceed 50.
output
Prints the product of a given set of quaternions for each dataset.
Example
Input
2
1 2 3 4 7 6 7 8
5 6 7 8 3 2 3 4
0
Output
-58 16 36 32
-50 32 28 48
|
stdin
| null | 2,850 | 1 |
[
"2\n1 2 3 4 7 6 7 8\n5 6 7 8 3 2 3 4\n0\n"
] |
[
"-58 16 36 32\n-50 32 28 48\n"
] |
[
"2\n1 2 3 4 7 6 7 8\n5 6 4 8 3 2 3 4\n0\n",
"2\n1 2 3 4 7 6 14 8\n5 6 4 8 3 2 3 4\n0\n",
"2\n1 3 3 4 7 6 14 8\n5 6 4 8 3 2 3 4\n0\n",
"2\n1 3 3 4 7 6 14 8\n5 11 4 8 3 2 3 4\n0\n",
"2\n1 3 3 7 7 6 14 8\n5 11 4 8 3 2 3 4\n0\n",
"2\n1 3 3 7 7 6 14 8\n5 11 4 5 3 2 3 4\n0\n",
"2\n1 3 3 7 7 6 14 8\n5 11 7 5 3 2 3 4\n0\n",
"2\n1 3 3 7 7 6 14 8\n5 11 7 5 3 2 3 6\n0\n",
"2\n1 1 3 7 7 6 14 8\n5 11 7 5 3 2 3 6\n0\n",
"2\n1 1 3 7 7 6 14 8\n5 4 7 5 3 2 3 6\n0\n"
] |
[
"-58 16 36 32\n-41 20 19 54\n",
"-79 -12 43 46\n-41 20 19 54\n",
"-85 -5 35 60\n-41 20 19 54\n",
"-85 -5 35 60\n-51 35 -1 69\n",
"-109 -47 53 81\n-51 35 -1 69\n",
"-109 -47 53 81\n-39 44 -7 60\n",
"-109 -47 53 81\n-48 56 2 54\n",
"-109 -47 53 81\n-58 70 -20 64\n",
"-97 -61 69 53\n-58 70 -20 64\n",
"-97 -61 69 53\n-44 49 22 43\n"
] |
CodeContests
|
Oz has a list arr[] of M integers. He has to find all integers K such that :
1) K > 1
2) arr[1]%K = arr[2]%K = arr[3]%K = ... = arr[M]%K where '%' is a modulus operator
Help Oz to find all such K's.
Input :
First line of input contains an integer M. Then M lines follow each containing one integer of the list. Input data is such that at least one integer K will always exist.
Output :
Output all possible integers K separated by space in increasing order.
Constraints :
- 2 ≤ M ≤100
- 1< value of each integer <10^9
- All integers will be distinct
SAMPLE INPUT
3
38
6
34
SAMPLE OUTPUT
2 4
|
stdin
| null | 3,940 | 1 |
[
"3\n38\n6\n34\n\nSAMPLE\n"
] |
[
"2 4\n"
] |
[
"3\n38\n6\n34\n\nS@MPLE\n",
"90\n1468\n2168\n6268\n7568\n1268\n6768\n16146\n7368\n5368\n1168\n3368\n68\n8168\n6568\n4568\n4868\n9568\n8968\n4268\n8868\n3568\n368\n6968\n2868\n468\n8068\n5768\n8668\n2768\n5668\n7168\n6168\n5068\n9268\n3868\n5868\n3768\n9468\n4968\n9668\n2368\n2968\n7668\n4668\n6668\n3168\n2568\n968\n668\n768\n8268\n8568\n1768\n268\n4768\n9968\n1368\n5468\n3268\n3068\n9768\n2468\n1568\n1068\n1868\n9168\n4068\n9868\n8768\n3968\n8468\n9068\n7768\n1968\n5568\n6068\n7068\n5168\n568\n4368\n6468\n6368\n7968\n868\n3668\n5968\n9368\n2268\n7868\n5268\n",
"3\n9\n6\n36\n\nLASPLE\n",
"3\n11\n6\n36\n\nLASPLE\n",
"90\n1468\n2168\n6268\n7568\n1268\n6768\n8368\n7368\n5368\n1168\n3368\n68\n8168\n6568\n4568\n4868\n9568\n8968\n4268\n8868\n3568\n368\n6968\n2868\n468\n8068\n5768\n8668\n2768\n5668\n7168\n6168\n5068\n9268\n3868\n5868\n3768\n9468\n4968\n9668\n2368\n2968\n7668\n4668\n6668\n3168\n2568\n1393\n668\n768\n8268\n8568\n1768\n268\n4768\n9968\n1368\n5468\n3268\n3068\n9768\n2468\n1568\n1068\n1868\n9168\n4068\n9868\n8768\n3968\n8468\n9068\n7768\n1968\n5568\n6068\n7068\n5168\n568\n4368\n6468\n6368\n7968\n868\n3668\n5968\n9368\n2268\n7868\n5268\n",
"3\n62\n6\n34\n\nELPM@S\n",
"3\n56\n6\n36\n\nKASELP\n",
"3\n81\n6\n36\n\nKASELP\n",
"3\n38\n6\n14\n\nSAMPLE\n",
"3\n62\n6\n69\n\nLASPLE\n"
] |
[
"2 4\n",
"2\n",
"3\n",
"5\n",
"5 25\n",
"2 4 7 14 28\n",
"2 5 10\n",
"3 5 15\n",
"2 4 8\n",
"7\n"
] |
CodeContests
|
Daruma Otoshi
You are playing a variant of a game called "Daruma Otoshi (Dharma Block Striking)".
At the start of a game, several wooden blocks of the same size but with varying weights are stacked on top of each other, forming a tower. Another block symbolizing Dharma is placed atop. You have a wooden hammer with its head thicker than the height of a block, but not twice that.
You can choose any two adjacent blocks, except Dharma on the top, differing at most 1 in their weight, and push both of them out of the stack with a single blow of your hammer. The blocks above the removed ones then fall straight down, without collapsing the tower. You cannot hit a block pair with weight difference of 2 or more, for that makes too hard to push out blocks while keeping the balance of the tower. There is no chance in hitting three blocks out at a time, for that would require superhuman accuracy.
The goal of the game is to remove as many blocks as you can. Your task is to decide the number of blocks that can be removed by repeating the blows in an optimal order.
<image>
Figure D1. Striking out two blocks at a time
In the above figure, with a stack of four blocks weighing 1, 2, 3, and 1, in this order from the bottom, you can hit middle two blocks, weighing 2 and 3, out from the stack. The blocks above will then fall down, and two blocks weighing 1 and the Dharma block will remain. You can then push out the remaining pair of weight-1 blocks after that.
Input
The input consists of multiple datasets. The number of datasets is at most 50. Each dataset is in the following format.
n
w1 w2 … wn
n is the number of blocks, except Dharma on the top. n is a positive integer not exceeding 300. wi gives the weight of the i-th block counted from the bottom. wi is an integer between 1 and 1000, inclusive.
The end of the input is indicated by a line containing a zero.
Output
For each dataset, output in a line the maximum number of blocks you can remove.
Sample Input
4
1 2 3 4
4
1 2 3 1
5
5 1 2 3 6
14
8 7 1 4 3 5 4 1 6 8 10 4 6 5
5
1 3 5 1 3
0
Output for the Sample Input
4
4
2
12
0
Example
Input
4
1 2 3 4
4
1 2 3 1
5
5 1 2 3 6
14
8 7 1 4 3 5 4 1 6 8 10 4 6 5
5
1 3 5 1 3
0
Output
4
4
2
12
0
|
stdin
| null | 4,833 | 1 |
[
"4\n1 2 3 4\n4\n1 2 3 1\n5\n5 1 2 3 6\n14\n8 7 1 4 3 5 4 1 6 8 10 4 6 5\n5\n1 3 5 1 3\n0\n"
] |
[
"4\n4\n2\n12\n0\n"
] |
[
"4\n1 2 3 4\n4\n1 2 3 1\n5\n5 1 2 3 6\n14\n8 7 1 4 3 5 4 1 6 8 10 4 6 5\n5\n1 3 5 2 3\n0\n",
"4\n1 2 3 2\n4\n1 2 3 1\n5\n2 1 2 3 6\n14\n8 7 1 4 3 5 4 2 6 8 10 4 6 5\n5\n1 3 5 2 3\n0\n",
"4\n1 0 3 2\n4\n1 2 3 1\n5\n2 1 2 3 6\n14\n8 7 1 4 3 5 4 2 6 8 10 4 1 5\n5\n1 3 5 2 3\n0\n",
"4\n1 0 3 2\n4\n1 2 3 1\n5\n2 1 2 3 6\n14\n8 7 1 4 3 5 8 2 6 8 10 4 1 5\n5\n1 3 5 2 3\n0\n",
"4\n1 2 3 4\n4\n1 2 3 1\n5\n5 0 2 3 6\n14\n8 7 1 4 3 5 4 1 6 8 10 4 6 5\n5\n1 3 5 1 3\n0\n",
"4\n1 2 3 2\n4\n1 2 3 1\n5\n5 1 2 3 6\n14\n8 7 1 4 3 5 0 1 6 8 10 4 6 5\n5\n1 3 5 2 3\n0\n",
"4\n1 0 3 2\n4\n1 2 3 1\n5\n2 1 2 3 6\n14\n8 7 1 4 3 5 8 2 6 8 10 1 1 5\n5\n1 3 5 2 3\n0\n",
"4\n1 2 3 4\n4\n1 2 3 1\n5\n5 0 2 3 6\n14\n11 7 1 4 3 5 4 1 6 8 10 4 6 5\n5\n1 3 5 1 3\n0\n",
"4\n1 0 3 2\n4\n1 2 3 1\n5\n2 1 2 3 6\n14\n8 7 1 4 3 5 4 2 11 8 10 4 6 5\n5\n1 3 5 0 3\n0\n",
"4\n1 0 4 2\n4\n1 2 3 1\n5\n2 1 2 3 6\n14\n8 7 1 4 3 5 4 2 6 8 0 4 1 5\n5\n1 3 5 2 3\n0\n"
] |
[
"4\n4\n2\n12\n2\n",
"4\n4\n4\n12\n2\n",
"4\n4\n4\n10\n2\n",
"4\n4\n4\n4\n2\n",
"4\n4\n2\n12\n0\n",
"4\n4\n2\n10\n2\n",
"4\n4\n4\n6\n2\n",
"4\n4\n2\n10\n0\n",
"4\n4\n4\n10\n0\n",
"2\n4\n4\n10\n2\n"
] |
CodeContests
|
Given an array A of N numbers, find the number of distinct pairs (i, j) such that j ≥i and A[i] = A[j].
First line of the input contains number of test cases T. Each test case has two lines, first line is the number N, followed by a line consisting of N integers which are the elements of array A.
For each test case print the number of distinct pairs.
Constraints
1 ≤ T ≤ 10
1 ≤ N ≤ 10^6
-10^6 ≤ A[i] ≤ 10^6 for 0 ≤ i < N
SAMPLE INPUT
3
4
1 2 3 4
3
1 2 1
5
1 1 1 1 1
SAMPLE OUTPUT
4
4
15
|
stdin
| null | 3,068 | 1 |
[
"3\n4\n1 2 3 4\n3\n1 2 1\n5\n1 1 1 1 1\n\nSAMPLE\n"
] |
[
"4\n4\n15\n"
] |
[
"3\n4\n1 2 3 4\n3\n1 2 1\n5\n1 1 2 1 1\n\nSAMPLE\n",
"3\n4\n2 2 3 4\n3\n1 2 1\n5\n1 1 1 1 1\n\nSAMPLE\n",
"3\n4\n2 2 3 4\n3\n1 2 1\n5\n1 2 1 1 1\n\nSAMPLE\n",
"3\n4\n2 2 3 4\n3\n1 2 1\n5\n1 1 2 2 1\n\nSAMPLE\n",
"3\n4\n1 0 3 4\n3\n1 2 1\n5\n1 1 1 1 1\n\nSAMPLE\n",
"3\n4\n2 2 3 3\n3\n1 2 1\n5\n1 1 1 1 1\n\nSAMPLE\n",
"3\n4\n2 2 3 4\n3\n1 2 1\n5\n1 2 0 1 1\n\nSAMPLE\n",
"3\n4\n2 2 4 4\n3\n1 2 1\n5\n3 1 1 1 1\n\nSAMPLE\n",
"3\n4\n2 2 3 4\n3\n1 3 1\n5\n1 1 2 2 0\n\nSAMPLE\n",
"3\n4\n2 2 3 3\n3\n1 0 1\n5\n1 2 1 0 1\n\nSAMPLE\n"
] |
[
"4\n4\n11\n",
"5\n4\n15\n",
"5\n4\n11\n",
"5\n4\n9\n",
"4\n4\n15\n",
"6\n4\n15\n",
"5\n4\n8\n",
"6\n4\n11\n",
"5\n4\n7\n",
"6\n4\n8\n"
] |
CodeContests
|
Many of you know the famous Fibonacci sequence F:
F[1] = 1
F[2] = 1
F[i] = F[i - 1] + F[i - 2] for i > 2
Thus each number in sequence is a sum of two previous numbers except two first which are define as 1.
You've decided to create you own Fibonacci sequence. It's very similar to the one described above, but the first two numbers now are arbitrary non-negative integers A and B ( F[1] = A and F[2] = B ). Now you want to compute the N-th number in your sequence.
Input
The only line contains 3 space-separated integers A, B, N.
Output
Output one integer - the N-th number in your sequence.
Constraints
0 < A, B, N ≤ 10
SAMPLE INPUT
1 3 4
SAMPLE OUTPUT
7
|
stdin
| null | 3,466 | 1 |
[
"1 3 4\n\nSAMPLE\n"
] |
[
"7\n"
] |
[
"4 3 9\n",
"7 3 6\n",
"1 3 2\n\nSAMPLE\n",
"8 3 6\n",
"8 1 6\n",
"3 1 6\n",
"4 6 9\n",
"1 6 2\n\nSAMPLE\n",
"6 1 6\n",
"1 6 4\n\nSAMPLE\n"
] |
[
"115\n",
"36\n",
"3\n",
"39\n",
"29\n",
"14\n",
"178\n",
"6\n",
"23\n",
"13\n"
] |
CodeContests
|
Rational numbers are numbers represented by ratios of two integers. For a prime number p, one of the elementary theorems in the number theory is that there is no rational number equal to √p. Such numbers are called irrational numbers. It is also known that there are rational numbers arbitrarily close to √p
Now, given a positive integer n, we define a set Qn of all rational numbers whose elements are represented by ratios of two positive integers both of which are less than or equal to n. For example, Q4 is a set of 11 rational numbers {1/1, 1/2, 1/3, 1/4, 2/1, 2/3, 3/1, 3/2, 3/4, 4/1, 4/3}. 2/2, 2/4, 3/3, 4/2 and 4/4 are not included here because they are equal to 1/1, 1/2, 1/1, 2/1 and 1/1, respectively.
Your job is to write a program that reads two integers p and n and reports two rational numbers x / y and u / v, where u / v < √p < x / y and there are no other elements of Qn between u/v and x/y. When n is greater than √p, such a pair of rational numbers always exists.
Input
The input consists of lines each of which contains two positive integers, a prime number p and an integer n in the following format.
p n
They are separated by a space character. You can assume that p and n are less than 10000, and that n is greater than √p. The end of the input is indicated by a line consisting of two zeros.
Output
For each input line, your program should output a line consisting of the two rational numbers x / y and u / v (x / y > u / v) separated by a space character in the following format.
x/y u/v
They should be irreducible. For example, 6/14 and 15/3 are not accepted. They should be reduced to 3/7 and 5/1, respectively.
Example
Input
2 5
3 10
5 100
0 0
Output
3/2 4/3
7/4 5/3
85/38 38/17
|
stdin
| null | 3,645 | 1 |
[
"2 5\n3 10\n5 100\n0 0\n"
] |
[
"3/2 4/3\n7/4 5/3\n85/38 38/17\n"
] |
[
"2 5\n3 10\n5 110\n0 0\n",
"3 5\n3 10\n5 100\n0 0\n",
"3 5\n3 17\n5 101\n0 0\n",
"3 4\n3 8\n5 100\n0 0\n",
"3 5\n6 10\n5 100\n0 0\n",
"3 4\n3 8\n10 100\n0 0\n",
"2 3\n3 10\n5 101\n0 0\n",
"2 5\n3 10\n10 111\n0 0\n",
"6 5\n6 10\n5 100\n0 0\n",
"3 4\n3 3\n10 100\n0 0\n"
] |
[
"3/2 4/3\n7/4 5/3\n85/38 38/17\n",
"2/1 5/3\n7/4 5/3\n85/38 38/17\n",
"2/1 5/3\n7/4 12/7\n85/38 38/17\n",
"2/1 3/2\n7/4 5/3\n85/38 38/17\n",
"2/1 5/3\n5/2 7/3\n85/38 38/17\n",
"2/1 3/2\n7/4 5/3\n19/6 98/31\n",
"3/2 1/1\n7/4 5/3\n85/38 38/17\n",
"3/2 4/3\n7/4 5/3\n19/6 98/31\n",
"5/2 2/1\n5/2 7/3\n85/38 38/17\n",
"2/1 3/2\n2/1 3/2\n19/6 98/31\n"
] |
CodeContests
|
The server in company A has a structure where N devices numbered 1, 2, ..., N are connected with N - 1 cables. The i-th cable connects Device U_i and Device V_i. Any two different devices are connected through some number of cables.
Each device v (1 \leq v \leq N) has a non-zero integer A_v, which represents the following:
* If A_v < 0, Device v is a computer that consumes an electric power of -A_v.
* If A_v > 0, Device v is a battery that supplies an electric power of A_v.
You have decided to disconnect some number of cables (possibly zero) to disable the server. When some cables are disconnected, the devices will be divided into some number of connected components. The server will be disabled if all of these connected components satisfy one of the following conditions:
* There is no computer in the connected component. That is, A_v is positive for every device v that belongs to the connected component.
* There is not enough supply of electric power in the connected component. That is, the sum of A_v over all devices v that belong to the connected component is negative.
At least how many cables do you need to disconnect in order to disable the server?
Constraints
* 1 \leq N \leq 5 000
* 1 \leq |A_i| \leq 10^9 (1 \leq i \leq N)
* 1 \leq U_i, V_i \leq N (1 \leq i \leq N - 1)
* U_i \neq V_i (1 \leq i \leq N - 1)
* Any two different devices are connected through some number of cables.
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
U_1 V_1
U_2 V_2
:
U_{N - 1} V_{N - 1}
Output
Print the answer.
Examples
Input
7
-2 7 5 6 -8 3 4
1 2
2 3
2 4
1 5
5 6
5 7
Output
1
Input
4
1 2 3 4
1 2
1 3
1 4
Output
0
Input
6
10 -1 10 -1 10 -1
1 2
2 3
3 4
4 5
5 6
Output
5
Input
8
-2 3 6 -2 -2 -5 3 2
3 4
7 6
6 2
8 2
5 3
1 8
3 7
Output
3
Input
10
3 4 9 6 1 5 -1 10 -10 -10
7 4
5 6
8 1
9 5
7 1
10 3
2 8
4 10
9 2
Output
3
|
stdin
| null | 1,888 | 1 |
[
"4\n1 2 3 4\n1 2\n1 3\n1 4\n",
"7\n-2 7 5 6 -8 3 4\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n",
"10\n3 4 9 6 1 5 -1 10 -10 -10\n7 4\n5 6\n8 1\n9 5\n7 1\n10 3\n2 8\n4 10\n9 2\n",
"6\n10 -1 10 -1 10 -1\n1 2\n2 3\n3 4\n4 5\n5 6\n",
"8\n-2 3 6 -2 -2 -5 3 2\n3 4\n7 6\n6 2\n8 2\n5 3\n1 8\n3 7\n"
] |
[
"0\n",
"1\n",
"3\n",
"5\n",
"3\n"
] |
[
"4\n1 2 3 4\n1 2\n2 3\n1 4\n",
"10\n3 4 9 6 1 5 -1 10 -10 -20\n7 4\n5 6\n8 1\n9 5\n7 1\n10 3\n2 8\n4 10\n9 2\n",
"10\n3 4 9 6 1 10 -1 10 -10 -10\n7 4\n5 6\n8 1\n9 5\n7 1\n10 3\n2 8\n4 10\n9 2\n",
"8\n-2 3 6 -2 -2 -5 3 2\n1 4\n7 6\n6 2\n8 2\n5 3\n1 8\n3 7\n",
"10\n3 6 9 6 1 5 -1 10 -10 -10\n7 4\n5 6\n8 1\n9 5\n7 1\n10 3\n2 8\n4 10\n9 2\n",
"6\n3 -1 10 -1 10 -1\n1 2\n2 3\n3 4\n6 1\n5 6\n",
"10\n3 4 9 5 1 5 -1 10 -10 -20\n7 4\n5 6\n8 1\n9 5\n7 1\n10 3\n2 8\n4 10\n9 2\n",
"10\n3 4 9 5 2 5 -1 10 -10 -20\n7 4\n5 6\n8 1\n9 5\n7 1\n10 3\n2 8\n4 10\n9 2\n",
"10\n3 4 9 5 2 5 0 10 -10 -20\n7 4\n5 6\n8 1\n9 5\n7 1\n10 3\n2 8\n4 10\n9 2\n",
"10\n3 4 9 5 1 5 0 10 -10 -20\n7 4\n5 6\n8 1\n9 5\n7 1\n10 3\n2 8\n4 10\n9 2\n"
] |
[
"0\n",
"1\n",
"4\n",
"2\n",
"3\n",
"5\n",
"1\n",
"1\n",
"1\n",
"1\n"
] |
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