nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
| search_path
stringlengths 505
16.8k
| rating
float64 0
0.99
| search_type
stringclasses 5
values | heuristic
stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|
[
54,
67,
3,
4
] | 35 |
[
"67-54=13",
"3*13=39",
"39-4=35"
] |
Current State: 35:[54, 67, 3, 4], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [3, 4, 13]
Generated Node #2: [3, 4, 13] from Operation: 67-54=13
Current State: 35:[3, 4, 13], Operations: ['67-54=13']
Exploring Operation: 3*13=39, Resulting Numbers: [4, 39]
Generated Node #3: [4, 39] from Operation: 3*13=39
Current State: 35:[4, 39], Operations: ['67-54=13', '3*13=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[54, 67, 3, 4], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [67, 4, 18]
Generated Node #0,0: 35:[67, 4, 18] Operation: 54/3=18
Exploring Operation: 54-3=51, Resulting Numbers: [67, 4, 51]
Generated Node #0,1: 35:[67, 4, 51] Operation: 54-3=51
Exploring Operation: 67-54=13, Resulting Numbers: [3, 4, 13]
Generated Node #0,2: 35:[3, 4, 13] Operation: 67-54=13
Moving to Node #0,2
Current State: 35:[3, 4, 13], Operations: ['67-54=13']
Exploring Operation: 3*13=39, Resulting Numbers: [4, 39]
Generated Node #0,2,0: 35:[4, 39] Operation: 3*13=39
Exploring Operation: 13-3=10, Resulting Numbers: [4, 10]
Generated Node #0,2,1: 35:[4, 10] Operation: 13-3=10
Exploring Operation: 13-4=9, Resulting Numbers: [3, 9]
Generated Node #0,2,2: 35:[3, 9] Operation: 13-4=9
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 35:[4, 10], Operations: ['67-54=13', '13-3=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,35 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 35:[3, 9], Operations: ['67-54=13', '13-4=9']
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 35:[4, 39], Operations: ['67-54=13', '3*13=39']
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,35 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[54, 67, 3, 4], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [3, 4, 13]
Generated Node #0,2: 35:[3, 4, 13] Operation: 67-54=13
Moving to Node #0,2
Current State: 35:[3, 4, 13], Operations: ['67-54=13']
Exploring Operation: 3*13=39, Resulting Numbers: [4, 39]
Generated Node #0,2,0: 35:[4, 39] Operation: 3*13=39
Moving to Node #0,2,0
Current State: 35:[4, 39], Operations: ['67-54=13', '3*13=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_3
|
sum_heuristic
|
[
17,
83,
83,
39
] | 17 |
[
"83-83=0",
"39*0=0",
"17+0=17"
] |
Current State: 17:[17, 83, 83, 39], Operations: []
Exploring Operation: 83-83=0, Resulting Numbers: [17, 39, 0]
Generated Node #2: [17, 39, 0] from Operation: 83-83=0
Current State: 17:[17, 39, 0], Operations: ['83-83=0']
Exploring Operation: 39*0=0, Resulting Numbers: [17, 0]
Generated Node #3: [17, 0] from Operation: 39*0=0
Current State: 17:[17, 0], Operations: ['83-83=0', '39*0=0']
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[17, 83, 83, 39], Operations: []
Exploring Operation: 83-39=44, Resulting Numbers: [17, 83, 44]
Generated Node #0,0: 17:[17, 83, 44] Operation: 83-39=44
Exploring Operation: 83-39=44, Resulting Numbers: [17, 83, 44]
Generated Node #0,1: 17:[17, 83, 44] Operation: 83-39=44
Exploring Operation: 83/83=1, Resulting Numbers: [17, 39, 1]
Generated Node #0,2: 17:[17, 39, 1] Operation: 83/83=1
Exploring Operation: 83-83=0, Resulting Numbers: [17, 39, 0]
Generated Node #0,3: 17:[17, 39, 0] Operation: 83-83=0
Exploring Operation: 83-17=66, Resulting Numbers: [83, 39, 66]
Generated Node #0,4: 17:[83, 39, 66] Operation: 83-17=66
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[17, 39, 1], Operations: ['83/83=1']
Exploring Operation: 17*1=17, Resulting Numbers: [39, 17]
Generated Node #0,2,0: 17:[39, 17] Operation: 17*1=17
Exploring Operation: 17/1=17, Resulting Numbers: [39, 17]
Generated Node #0,2,1: 17:[39, 17] Operation: 17/1=17
Exploring Operation: 39-17=22, Resulting Numbers: [1, 22]
Generated Node #0,2,2: 17:[1, 22] Operation: 39-17=22
Exploring Operation: 39-1=38, Resulting Numbers: [17, 38]
Generated Node #0,2,3: 17:[17, 38] Operation: 39-1=38
Exploring Operation: 39*1=39, Resulting Numbers: [17, 39]
Generated Node #0,2,4: 17:[17, 39] Operation: 39*1=39
Moving to Node #0,2,2
Current State: 17:[1, 22], Operations: ['83/83=1', '39-17=22']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,17 unequal: No Solution
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Exploring Operation: 1+22=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Moving to Node #0,2,3
Current State: 17:[17, 38], Operations: ['83/83=1', '39-1=38']
Exploring Operation: 17*38=646, Resulting Numbers: [646]
646,17 unequal: No Solution
Exploring Operation: 17+38=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[39, 17], Operations: ['83/83=1', '17*1=17']
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 39*17=663, Resulting Numbers: [663]
663,17 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Moving to Node #0,2,1
Current State: 17:[39, 17], Operations: ['83/83=1', '17/1=17']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Exploring Operation: 39+17=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 39*17=663, Resulting Numbers: [663]
663,17 unequal: No Solution
Moving to Node #0,2,4
Current State: 17:[17, 39], Operations: ['83/83=1', '39*1=39']
Exploring Operation: 17+39=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Exploring Operation: 17*39=663, Resulting Numbers: [663]
663,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 17:[17, 39, 0], Operations: ['83-83=0']
Exploring Operation: 17-0=17, Resulting Numbers: [39, 17]
Generated Node #0,3,0: 17:[39, 17] Operation: 17-0=17
Exploring Operation: 17+0=17, Resulting Numbers: [39, 17]
Generated Node #0,3,1: 17:[39, 17] Operation: 17+0=17
Exploring Operation: 39+0=39, Resulting Numbers: [17, 39]
Generated Node #0,3,2: 17:[17, 39] Operation: 39+0=39
Exploring Operation: 39-17=22, Resulting Numbers: [0, 22]
Generated Node #0,3,3: 17:[0, 22] Operation: 39-17=22
Exploring Operation: 39*0=0, Resulting Numbers: [17, 0]
Generated Node #0,3,4: 17:[17, 0] Operation: 39*0=0
Moving to Node #0,3,4
Current State: 17:[17, 0], Operations: ['83-83=0', '39*0=0']
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[17, 83, 83, 39], Operations: []
Exploring Operation: 83-83=0, Resulting Numbers: [17, 39, 0]
Generated Node #0,3: 17:[17, 39, 0] Operation: 83-83=0
Moving to Node #0,3
Current State: 17:[17, 39, 0], Operations: ['83-83=0']
Exploring Operation: 39*0=0, Resulting Numbers: [17, 0]
Generated Node #0,3,4: 17:[17, 0] Operation: 39*0=0
Moving to Node #0,3,4
Current State: 17:[17, 0], Operations: ['83-83=0', '39*0=0']
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 |
hs_5
|
sum_heuristic
|
[
73,
23,
61,
14
] | 49 |
[
"73+23=96",
"61-14=47",
"96-47=49"
] |
Current State: 49:[73, 23, 61, 14], Operations: []
Exploring Operation: 73+23=96, Resulting Numbers: [61, 14, 96]
Generated Node #2: [61, 14, 96] from Operation: 73+23=96
Current State: 49:[61, 14, 96], Operations: ['73+23=96']
Exploring Operation: 61-14=47, Resulting Numbers: [96, 47]
Generated Node #3: [96, 47] from Operation: 61-14=47
Current State: 49:[96, 47], Operations: ['73+23=96', '61-14=47']
Exploring Operation: 96-47=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
Current State: 49:[73, 23, 61, 14], Operations: []
Exploring Operation: 73-23=50, Resulting Numbers: [61, 14, 50]
Generated Node #0,0: 49:[61, 14, 50] Operation: 73-23=50
Moving to Node #0,0
Current State: 49:[61, 14, 50], Operations: ['73-23=50']
Exploring Operation: 61-14=47, Resulting Numbers: [50, 47]
Generated Node #0,0,0: 49:[50, 47] Operation: 61-14=47
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[50, 47], Operations: ['73-23=50', '61-14=47']
Exploring Operation: 50-47=3, Resulting Numbers: [3]
3,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
12,
47,
37,
94
] | 86 |
[
"94/47=2",
"37*2=74",
"12+74=86"
] |
Current State: 86:[12, 47, 37, 94], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [12, 37, 2]
Generated Node #2: [12, 37, 2] from Operation: 94/47=2
Current State: 86:[12, 37, 2], Operations: ['94/47=2']
Exploring Operation: 37*2=74, Resulting Numbers: [12, 74]
Generated Node #3: [12, 74] from Operation: 37*2=74
Current State: 86:[12, 74], Operations: ['94/47=2', '37*2=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
Current State: 86:[12, 47, 37, 94], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [12, 37, 2]
Generated Node #0,0: 86:[12, 37, 2] Operation: 94/47=2
Exploring Operation: 94-12=82, Resulting Numbers: [47, 37, 82]
Generated Node #0,1: 86:[47, 37, 82] Operation: 94-12=82
Moving to Node #0,1
Current State: 86:[47, 37, 82], Operations: ['94-12=82']
Exploring Operation: 82-37=45, Resulting Numbers: [47, 45]
Generated Node #0,1,0: 86:[47, 45] Operation: 82-37=45
Exploring Operation: 47+37=84, Resulting Numbers: [82, 84]
Generated Node #0,1,1: 86:[82, 84] Operation: 47+37=84
Moving to Node #0,0
Current State: 86:[12, 37, 2], Operations: ['94/47=2']
Exploring Operation: 12/2=6, Resulting Numbers: [37, 6]
Generated Node #0,0,0: 86:[37, 6] Operation: 12/2=6
Exploring Operation: 12+37=49, Resulting Numbers: [2, 49]
Generated Node #0,0,1: 86:[2, 49] Operation: 12+37=49
Moving to Node #0,1,0
Current State: 86:[47, 45], Operations: ['94-12=82', '82-37=45']
Exploring Operation: 47+45=92, Resulting Numbers: [92]
92,86 unequal: No Solution
Exploring Operation: 47-45=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[2, 49], Operations: ['94/47=2', '12+37=49']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[82, 84], Operations: ['94-12=82', '47+37=84']
Exploring Operation: 82+84=166, Resulting Numbers: [166]
166,86 unequal: No Solution
Exploring Operation: 84-82=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[37, 6], Operations: ['94/47=2', '12/2=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,86 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
42,
85,
7,
56
] | 83 |
[
"56-42=14",
"14/7=2",
"85-2=83"
] |
Current State: 83:[42, 85, 7, 56], Operations: []
Exploring Operation: 56-42=14, Resulting Numbers: [85, 7, 14]
Generated Node #2: [85, 7, 14] from Operation: 56-42=14
Current State: 83:[85, 7, 14], Operations: ['56-42=14']
Exploring Operation: 14/7=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 14/7=2
Current State: 83:[85, 2], Operations: ['56-42=14', '14/7=2']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
Current State: 83:[42, 85, 7, 56], Operations: []
Exploring Operation: 42+7=49, Resulting Numbers: [85, 56, 49]
Generated Node #0,0: 83:[85, 56, 49] Operation: 42+7=49
Exploring Operation: 7+56=63, Resulting Numbers: [42, 85, 63]
Generated Node #0,1: 83:[42, 85, 63] Operation: 7+56=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[85, 56, 49], Operations: ['42+7=49']
Exploring Operation: 56+49=105, Resulting Numbers: [85, 105]
Generated Node #0,0,0: 83:[85, 105] Operation: 56+49=105
Exploring Operation: 85-49=36, Resulting Numbers: [56, 36]
Generated Node #0,0,1: 83:[56, 36] Operation: 85-49=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[85, 105], Operations: ['42+7=49', '56+49=105']
Exploring Operation: 85+105=190, Resulting Numbers: [190]
190,83 unequal: No Solution
Exploring Operation: 105-85=20, Resulting Numbers: [20]
20,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[56, 36], Operations: ['42+7=49', '85-49=36']
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,83 unequal: No Solution
Exploring Operation: 56+36=92, Resulting Numbers: [92]
92,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[42, 85, 63], Operations: ['7+56=63']
Exploring Operation: 85-42=43, Resulting Numbers: [63, 43]
Generated Node #0,1,0: 83:[63, 43] Operation: 85-42=43
Exploring Operation: 42+63=105, Resulting Numbers: [85, 105]
Generated Node #0,1,1: 83:[85, 105] Operation: 42+63=105
Moving to Node #0,1,1
Current State: 83:[85, 105], Operations: ['7+56=63', '42+63=105']
Exploring Operation: 105-85=20, Resulting Numbers: [20]
20,83 unequal: No Solution
Exploring Operation: 85+105=190, Resulting Numbers: [190]
190,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[63, 43], Operations: ['7+56=63', '85-42=43']
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,83 unequal: No Solution
Exploring Operation: 63+43=106, Resulting Numbers: [106]
106,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
81,
10,
43,
53
] | 61 |
[
"81-10=71",
"53-43=10",
"71-10=61"
] |
Current State: 61:[81, 10, 43, 53], Operations: []
Exploring Operation: 81-10=71, Resulting Numbers: [43, 53, 71]
Generated Node #2: [43, 53, 71] from Operation: 81-10=71
Current State: 61:[43, 53, 71], Operations: ['81-10=71']
Exploring Operation: 53-43=10, Resulting Numbers: [71, 10]
Generated Node #3: [71, 10] from Operation: 53-43=10
Current State: 61:[71, 10], Operations: ['81-10=71', '53-43=10']
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
Current State: 61:[81, 10, 43, 53], Operations: []
Exploring Operation: 10+43=53, Resulting Numbers: [81, 53, 53]
Generated Node #0,0: 61:[81, 53, 53] Operation: 10+43=53
Exploring Operation: 81-10=71, Resulting Numbers: [43, 53, 71]
Generated Node #0,1: 61:[43, 53, 71] Operation: 81-10=71
Exploring Operation: 10+53=63, Resulting Numbers: [81, 43, 63]
Generated Node #0,2: 61:[81, 43, 63] Operation: 10+53=63
Exploring Operation: 43-10=33, Resulting Numbers: [81, 53, 33]
Generated Node #0,3: 61:[81, 53, 33] Operation: 43-10=33
Exploring Operation: 81+10=91, Resulting Numbers: [43, 53, 91]
Generated Node #0,4: 61:[43, 53, 91] Operation: 81+10=91
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[81, 53, 53], Operations: ['10+43=53']
Exploring Operation: 53/53=1, Resulting Numbers: [81, 1]
Generated Node #0,0,0: 61:[81, 1] Operation: 53/53=1
Exploring Operation: 81-53=28, Resulting Numbers: [53, 28]
Generated Node #0,0,1: 61:[53, 28] Operation: 81-53=28
Exploring Operation: 53+53=106, Resulting Numbers: [81, 106]
Generated Node #0,0,2: 61:[81, 106] Operation: 53+53=106
Exploring Operation: 81-53=28, Resulting Numbers: [53, 28]
Generated Node #0,0,3: 61:[53, 28] Operation: 81-53=28
Exploring Operation: 81+53=134, Resulting Numbers: [53, 134]
Generated Node #0,0,4: 61:[53, 134] Operation: 81+53=134
Moving to Node #0,0,1
Current State: 61:[53, 28], Operations: ['10+43=53', '81-53=28']
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,61 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,61 unequal: No Solution
Exploring Operation: 53*28=1484, Resulting Numbers: [1484]
1484,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[53, 28], Operations: ['10+43=53', '81-53=28']
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,61 unequal: No Solution
Exploring Operation: 53*28=1484, Resulting Numbers: [1484]
1484,61 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[81, 106], Operations: ['10+43=53', '53+53=106']
Exploring Operation: 81*106=8586, Resulting Numbers: [8586]
8586,61 unequal: No Solution
Exploring Operation: 106-81=25, Resulting Numbers: [25]
25,61 unequal: No Solution
Exploring Operation: 81+106=187, Resulting Numbers: [187]
187,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[81, 1], Operations: ['10+43=53', '53/53=1']
Exploring Operation: 81/1=81, Resulting Numbers: [81]
81,61 unequal: No Solution
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,61 unequal: No Solution
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,61 unequal: No Solution
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,61 unequal: No Solution
Moving to Node #0,0,4
Current State: 61:[53, 134], Operations: ['10+43=53', '81+53=134']
Exploring Operation: 134-53=81, Resulting Numbers: [81]
81,61 unequal: No Solution
Exploring Operation: 53*134=7102, Resulting Numbers: [7102]
7102,61 unequal: No Solution
Exploring Operation: 53+134=187, Resulting Numbers: [187]
187,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[43, 53, 71], Operations: ['81-10=71']
Exploring Operation: 43+53=96, Resulting Numbers: [71, 96]
Generated Node #0,1,0: 61:[71, 96] Operation: 43+53=96
Exploring Operation: 71-43=28, Resulting Numbers: [53, 28]
Generated Node #0,1,1: 61:[53, 28] Operation: 71-43=28
Exploring Operation: 71-53=18, Resulting Numbers: [43, 18]
Generated Node #0,1,2: 61:[43, 18] Operation: 71-53=18
Exploring Operation: 43+71=114, Resulting Numbers: [53, 114]
Generated Node #0,1,3: 61:[53, 114] Operation: 43+71=114
Exploring Operation: 53-43=10, Resulting Numbers: [71, 10]
Generated Node #0,1,4: 61:[71, 10] Operation: 53-43=10
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[53, 28], Operations: ['81-10=71', '71-43=28']
Exploring Operation: 53*28=1484, Resulting Numbers: [1484]
1484,61 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,61 unequal: No Solution
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[71, 96], Operations: ['81-10=71', '43+53=96']
Exploring Operation: 96-71=25, Resulting Numbers: [25]
25,61 unequal: No Solution
Exploring Operation: 71*96=6816, Resulting Numbers: [6816]
6816,61 unequal: No Solution
Exploring Operation: 71+96=167, Resulting Numbers: [167]
167,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 61:[43, 18], Operations: ['81-10=71', '71-53=18']
Exploring Operation: 43+18=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[81, 10, 43, 53], Operations: []
Exploring Operation: 81-10=71, Resulting Numbers: [43, 53, 71]
Generated Node #0,1: 61:[43, 53, 71] Operation: 81-10=71
Moving to Node #0,1
Current State: 61:[43, 53, 71], Operations: ['81-10=71']
Exploring Operation: 71-53=18, Resulting Numbers: [43, 18]
Generated Node #0,1,2: 61:[43, 18] Operation: 71-53=18
Moving to Node #0,1,2
Current State: 61:[43, 18], Operations: ['81-10=71', '71-53=18']
Exploring Operation: 43+18=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.963542 |
hs_5
|
mult_heuristic
|
[
3,
87,
57,
35
] | 49 |
[
"3*57=171",
"87+35=122",
"171-122=49"
] |
Current State: 49:[3, 87, 57, 35], Operations: []
Exploring Operation: 3*57=171, Resulting Numbers: [87, 35, 171]
Generated Node #2: [87, 35, 171] from Operation: 3*57=171
Current State: 49:[87, 35, 171], Operations: ['3*57=171']
Exploring Operation: 87+35=122, Resulting Numbers: [171, 122]
Generated Node #3: [171, 122] from Operation: 87+35=122
Current State: 49:[171, 122], Operations: ['3*57=171', '87+35=122']
Exploring Operation: 171-122=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
Current State: 49:[3, 87, 57, 35], Operations: []
Exploring Operation: 57-3=54, Resulting Numbers: [87, 35, 54]
Generated Node #0,0: 49:[87, 35, 54] Operation: 57-3=54
Exploring Operation: 87-35=52, Resulting Numbers: [3, 57, 52]
Generated Node #0,1: 49:[3, 57, 52] Operation: 87-35=52
Exploring Operation: 87/3=29, Resulting Numbers: [57, 35, 29]
Generated Node #0,2: 49:[57, 35, 29] Operation: 87/3=29
Exploring Operation: 87-3=84, Resulting Numbers: [57, 35, 84]
Generated Node #0,3: 49:[57, 35, 84] Operation: 87-3=84
Exploring Operation: 87-57=30, Resulting Numbers: [3, 35, 30]
Generated Node #0,4: 49:[3, 35, 30] Operation: 87-57=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[3, 57, 52], Operations: ['87-35=52']
Exploring Operation: 3+57=60, Resulting Numbers: [52, 60]
Generated Node #0,1,0: 49:[52, 60] Operation: 3+57=60
Exploring Operation: 57-52=5, Resulting Numbers: [3, 5]
Generated Node #0,1,1: 49:[3, 5] Operation: 57-52=5
Exploring Operation: 57-3=54, Resulting Numbers: [52, 54]
Generated Node #0,1,2: 49:[52, 54] Operation: 57-3=54
Exploring Operation: 3+52=55, Resulting Numbers: [57, 55]
Generated Node #0,1,3: 49:[57, 55] Operation: 3+52=55
Exploring Operation: 52-3=49, Resulting Numbers: [57, 49]
Generated Node #0,1,4: 49:[57, 49] Operation: 52-3=49
Moving to Node #0,1,1
Current State: 49:[3, 5], Operations: ['87-35=52', '57-52=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,49 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Moving to Node #0,1,4
Current State: 49:[57, 49], Operations: ['87-35=52', '52-3=49']
Exploring Operation: 57-49=8, Resulting Numbers: [8]
8,49 unequal: No Solution
Exploring Operation: 57*49=2793, Resulting Numbers: [2793]
2793,49 unequal: No Solution
Exploring Operation: 57+49=106, Resulting Numbers: [106]
106,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[52, 54], Operations: ['87-35=52', '57-3=54']
Exploring Operation: 52+54=106, Resulting Numbers: [106]
106,49 unequal: No Solution
Exploring Operation: 52*54=2808, Resulting Numbers: [2808]
2808,49 unequal: No Solution
Exploring Operation: 54-52=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[52, 60], Operations: ['87-35=52', '3+57=60']
Exploring Operation: 52*60=3120, Resulting Numbers: [3120]
3120,49 unequal: No Solution
Exploring Operation: 52+60=112, Resulting Numbers: [112]
112,49 unequal: No Solution
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,49 unequal: No Solution
Moving to Node #0,1,3
Current State: 49:[57, 55], Operations: ['87-35=52', '3+52=55']
Exploring Operation: 57+55=112, Resulting Numbers: [112]
112,49 unequal: No Solution
Exploring Operation: 57*55=3135, Resulting Numbers: [3135]
3135,49 unequal: No Solution
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 49:[3, 35, 30], Operations: ['87-57=30']
Exploring Operation: 3+35=38, Resulting Numbers: [30, 38]
Generated Node #0,4,0: 49:[30, 38] Operation: 3+35=38
Exploring Operation: 30/3=10, Resulting Numbers: [35, 10]
Generated Node #0,4,1: 49:[35, 10] Operation: 30/3=10
Exploring Operation: 35-30=5, Resulting Numbers: [3, 5]
Generated Node #0,4,2: 49:[3, 5] Operation: 35-30=5
Exploring Operation: 35+30=65, Resulting Numbers: [3, 65]
Generated Node #0,4,3: 49:[3, 65] Operation: 35+30=65
Exploring Operation: 3+30=33, Resulting Numbers: [35, 33]
Generated Node #0,4,4: 49:[35, 33] Operation: 3+30=33
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 49:[3, 5], Operations: ['87-57=30', '35-30=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,49 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 49:[35, 10], Operations: ['87-57=30', '30/3=10']
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 49:[3, 65], Operations: ['87-57=30', '35+30=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 3*65=195, Resulting Numbers: [195]
195,49 unequal: No Solution
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 49:[30, 38], Operations: ['87-57=30', '3+35=38']
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,49 unequal: No Solution
Exploring Operation: 30*38=1140, Resulting Numbers: [1140]
1140,49 unequal: No Solution
Exploring Operation: 30+38=68, Resulting Numbers: [68]
68,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 49:[35, 33], Operations: ['87-57=30', '3+30=33']
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 35+33=68, Resulting Numbers: [68]
68,49 unequal: No Solution
Exploring Operation: 35*33=1155, Resulting Numbers: [1155]
1155,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[57, 35, 29], Operations: ['87/3=29']
Exploring Operation: 57-29=28, Resulting Numbers: [35, 28]
Generated Node #0,2,0: 49:[35, 28] Operation: 57-29=28
Exploring Operation: 57+29=86, Resulting Numbers: [35, 86]
Generated Node #0,2,1: 49:[35, 86] Operation: 57+29=86
Exploring Operation: 35+29=64, Resulting Numbers: [57, 64]
Generated Node #0,2,2: 49:[57, 64] Operation: 35+29=64
Exploring Operation: 57-35=22, Resulting Numbers: [29, 22]
Generated Node #0,2,3: 49:[29, 22] Operation: 57-35=22
Exploring Operation: 35-29=6, Resulting Numbers: [57, 6]
Generated Node #0,2,4: 49:[57, 6] Operation: 35-29=6
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 49:[57, 6], Operations: ['87/3=29', '35-29=6']
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,49 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[57, 64], Operations: ['87/3=29', '35+29=64']
Exploring Operation: 57+64=121, Resulting Numbers: [121]
121,49 unequal: No Solution
Exploring Operation: 64-57=7, Resulting Numbers: [7]
7,49 unequal: No Solution
Exploring Operation: 57*64=3648, Resulting Numbers: [3648]
3648,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 49:[35, 28], Operations: ['87/3=29', '57-29=28']
Exploring Operation: 35*28=980, Resulting Numbers: [980]
980,49 unequal: No Solution
Exploring Operation: 35+28=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 49:[29, 22], Operations: ['87/3=29', '57-35=22']
Exploring Operation: 29+22=51, Resulting Numbers: [51]
51,49 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,49 unequal: No Solution
Exploring Operation: 29*22=638, Resulting Numbers: [638]
638,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 49:[35, 86], Operations: ['87/3=29', '57+29=86']
Exploring Operation: 35*86=3010, Resulting Numbers: [3010]
3010,49 unequal: No Solution
Exploring Operation: 35+86=121, Resulting Numbers: [121]
121,49 unequal: No Solution
Exploring Operation: 86-35=51, Resulting Numbers: [51]
51,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[87, 35, 54], Operations: ['57-3=54']
Exploring Operation: 87-54=33, Resulting Numbers: [35, 33]
Generated Node #0,0,0: 49:[35, 33] Operation: 87-54=33
Exploring Operation: 87-35=52, Resulting Numbers: [54, 52]
Generated Node #0,0,1: 49:[54, 52] Operation: 87-35=52
Exploring Operation: 54-35=19, Resulting Numbers: [87, 19]
Generated Node #0,0,2: 49:[87, 19] Operation: 54-35=19
Exploring Operation: 35+54=89, Resulting Numbers: [87, 89]
Generated Node #0,0,3: 49:[87, 89] Operation: 35+54=89
Exploring Operation: 87+35=122, Resulting Numbers: [54, 122]
Generated Node #0,0,4: 49:[54, 122] Operation: 87+35=122
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[54, 52], Operations: ['57-3=54', '87-35=52']
Exploring Operation: 54+52=106, Resulting Numbers: [106]
106,49 unequal: No Solution
Exploring Operation: 54-52=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 54*52=2808, Resulting Numbers: [2808]
2808,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[35, 33], Operations: ['57-3=54', '87-54=33']
Exploring Operation: 35+33=68, Resulting Numbers: [68]
68,49 unequal: No Solution
Exploring Operation: 35*33=1155, Resulting Numbers: [1155]
1155,49 unequal: No Solution
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 49:[87, 19], Operations: ['57-3=54', '54-35=19']
Exploring Operation: 87+19=106, Resulting Numbers: [106]
106,49 unequal: No Solution
Exploring Operation: 87-19=68, Resulting Numbers: [68]
68,49 unequal: No Solution
Exploring Operation: 87*19=1653, Resulting Numbers: [1653]
1653,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 49:[87, 89], Operations: ['57-3=54', '35+54=89']
Exploring Operation: 89-87=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 87*89=7743, Resulting Numbers: [7743]
7743,49 unequal: No Solution
Exploring Operation: 87+89=176, Resulting Numbers: [176]
176,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 49:[54, 122], Operations: ['57-3=54', '87+35=122']
Exploring Operation: 54*122=6588, Resulting Numbers: [6588]
6588,49 unequal: No Solution
Exploring Operation: 54+122=176, Resulting Numbers: [176]
176,49 unequal: No Solution
Exploring Operation: 122-54=68, Resulting Numbers: [68]
68,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[57, 35, 84], Operations: ['87-3=84']
Exploring Operation: 84-35=49, Resulting Numbers: [57, 49]
Generated Node #0,3,0: 49:[57, 49] Operation: 84-35=49
Exploring Operation: 57-35=22, Resulting Numbers: [84, 22]
Generated Node #0,3,1: 49:[84, 22] Operation: 57-35=22
Exploring Operation: 35+84=119, Resulting Numbers: [57, 119]
Generated Node #0,3,2: 49:[57, 119] Operation: 35+84=119
Exploring Operation: 57+35=92, Resulting Numbers: [84, 92]
Generated Node #0,3,3: 49:[84, 92] Operation: 57+35=92
Exploring Operation: 84-57=27, Resulting Numbers: [35, 27]
Generated Node #0,3,4: 49:[35, 27] Operation: 84-57=27
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 49:[57, 49], Operations: ['87-3=84', '84-35=49']
Exploring Operation: 57-49=8, Resulting Numbers: [8]
8,49 unequal: No Solution
Exploring Operation: 57*49=2793, Resulting Numbers: [2793]
2793,49 unequal: No Solution
Exploring Operation: 57+49=106, Resulting Numbers: [106]
106,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 49:[35, 27], Operations: ['87-3=84', '84-57=27']
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,49 unequal: No Solution
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 35*27=945, Resulting Numbers: [945]
945,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 49:[84, 22], Operations: ['87-3=84', '57-35=22']
Exploring Operation: 84*22=1848, Resulting Numbers: [1848]
1848,49 unequal: No Solution
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 84+22=106, Resulting Numbers: [106]
106,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 49:[57, 119], Operations: ['87-3=84', '35+84=119']
Exploring Operation: 57*119=6783, Resulting Numbers: [6783]
6783,49 unequal: No Solution
Exploring Operation: 57+119=176, Resulting Numbers: [176]
176,49 unequal: No Solution
Exploring Operation: 119-57=62, Resulting Numbers: [62]
62,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 49:[84, 92], Operations: ['87-3=84', '57+35=92']
Exploring Operation: 84+92=176, Resulting Numbers: [176]
176,49 unequal: No Solution
Exploring Operation: 84*92=7728, Resulting Numbers: [7728]
7728,49 unequal: No Solution
Exploring Operation: 92-84=8, Resulting Numbers: [8]
8,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
15,
64,
69,
16
] | 11 |
[
"15*69=1035",
"64*16=1024",
"1035-1024=11"
] |
Current State: 11:[15, 64, 69, 16], Operations: []
Exploring Operation: 15*69=1035, Resulting Numbers: [64, 16, 1035]
Generated Node #2: [64, 16, 1035] from Operation: 15*69=1035
Current State: 11:[64, 16, 1035], Operations: ['15*69=1035']
Exploring Operation: 64*16=1024, Resulting Numbers: [1035, 1024]
Generated Node #3: [1035, 1024] from Operation: 64*16=1024
Current State: 11:[1035, 1024], Operations: ['15*69=1035', '64*16=1024']
Exploring Operation: 1035-1024=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
Current State: 11:[15, 64, 69, 16], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [15, 69, 4]
Generated Node #0,0: 11:[15, 69, 4] Operation: 64/16=4
Exploring Operation: 69-64=5, Resulting Numbers: [15, 16, 5]
Generated Node #0,1: 11:[15, 16, 5] Operation: 69-64=5
Moving to Node #0,1
Current State: 11:[15, 16, 5], Operations: ['69-64=5']
Exploring Operation: 15-5=10, Resulting Numbers: [16, 10]
Generated Node #0,1,0: 11:[16, 10] Operation: 15-5=10
Exploring Operation: 16-5=11, Resulting Numbers: [15, 11]
Generated Node #0,1,1: 11:[15, 11] Operation: 16-5=11
Moving to Node #0,0
Current State: 11:[15, 69, 4], Operations: ['64/16=4']
Exploring Operation: 15-4=11, Resulting Numbers: [69, 11]
Generated Node #0,0,0: 11:[69, 11] Operation: 15-4=11
Exploring Operation: 69-15=54, Resulting Numbers: [4, 54]
Generated Node #0,0,1: 11:[4, 54] Operation: 69-15=54
Moving to Node #0,1,1
Current State: 11:[15, 11], Operations: ['69-64=5', '16-5=11']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[16, 10], Operations: ['69-64=5', '15-5=10']
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[4, 54], Operations: ['64/16=4', '69-15=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,11 unequal: No Solution
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[69, 11], Operations: ['64/16=4', '15-4=11']
Exploring Operation: 69+11=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,11 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
16,
70,
1,
30
] | 57 |
[
"16+70=86",
"30-1=29",
"86-29=57"
] |
Current State: 57:[16, 70, 1, 30], Operations: []
Exploring Operation: 16+70=86, Resulting Numbers: [1, 30, 86]
Generated Node #2: [1, 30, 86] from Operation: 16+70=86
Current State: 57:[1, 30, 86], Operations: ['16+70=86']
Exploring Operation: 30-1=29, Resulting Numbers: [86, 29]
Generated Node #3: [86, 29] from Operation: 30-1=29
Current State: 57:[86, 29], Operations: ['16+70=86', '30-1=29']
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
Current State: 57:[16, 70, 1, 30], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [1, 30, 54]
Generated Node #0,0: 57:[1, 30, 54] Operation: 70-16=54
Exploring Operation: 70-30=40, Resulting Numbers: [16, 1, 40]
Generated Node #0,1: 57:[16, 1, 40] Operation: 70-30=40
Exploring Operation: 30-16=14, Resulting Numbers: [70, 1, 14]
Generated Node #0,2: 57:[70, 1, 14] Operation: 30-16=14
Exploring Operation: 16+30=46, Resulting Numbers: [70, 1, 46]
Generated Node #0,3: 57:[70, 1, 46] Operation: 16+30=46
Exploring Operation: 16+1=17, Resulting Numbers: [70, 30, 17]
Generated Node #0,4: 57:[70, 30, 17] Operation: 16+1=17
Moving to Node #0,0
Current State: 57:[1, 30, 54], Operations: ['70-16=54']
Exploring Operation: 54-30=24, Resulting Numbers: [1, 24]
Generated Node #0,0,0: 57:[1, 24] Operation: 54-30=24
Exploring Operation: 30-1=29, Resulting Numbers: [54, 29]
Generated Node #0,0,1: 57:[54, 29] Operation: 30-1=29
Exploring Operation: 30/1=30, Resulting Numbers: [54, 30]
Generated Node #0,0,2: 57:[54, 30] Operation: 30/1=30
Exploring Operation: 1*30=30, Resulting Numbers: [54, 30]
Generated Node #0,0,3: 57:[54, 30] Operation: 1*30=30
Exploring Operation: 1+54=55, Resulting Numbers: [30, 55]
Generated Node #0,0,4: 57:[30, 55] Operation: 1+54=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[1, 24], Operations: ['70-16=54', '54-30=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,57 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 57:[54, 29], Operations: ['70-16=54', '30-1=29']
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 54+29=83, Resulting Numbers: [83]
83,57 unequal: No Solution
Exploring Operation: 54*29=1566, Resulting Numbers: [1566]
1566,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 57:[30, 55], Operations: ['70-16=54', '1+54=55']
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 30+55=85, Resulting Numbers: [85]
85,57 unequal: No Solution
Exploring Operation: 30*55=1650, Resulting Numbers: [1650]
1650,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 57:[54, 30], Operations: ['70-16=54', '30/1=30']
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,57 unequal: No Solution
Exploring Operation: 54*30=1620, Resulting Numbers: [1620]
1620,57 unequal: No Solution
Exploring Operation: 54+30=84, Resulting Numbers: [84]
84,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 57:[54, 30], Operations: ['70-16=54', '1*30=30']
Exploring Operation: 54*30=1620, Resulting Numbers: [1620]
1620,57 unequal: No Solution
Exploring Operation: 54+30=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 57:[70, 1, 14], Operations: ['30-16=14']
Exploring Operation: 70-14=56, Resulting Numbers: [1, 56]
Generated Node #0,2,0: 57:[1, 56] Operation: 70-14=56
Exploring Operation: 1+14=15, Resulting Numbers: [70, 15]
Generated Node #0,2,1: 57:[70, 15] Operation: 1+14=15
Exploring Operation: 70/14=5, Resulting Numbers: [1, 5]
Generated Node #0,2,2: 57:[1, 5] Operation: 70/14=5
Exploring Operation: 70*1=70, Resulting Numbers: [14, 70]
Generated Node #0,2,3: 57:[14, 70] Operation: 70*1=70
Exploring Operation: 70-1=69, Resulting Numbers: [14, 69]
Generated Node #0,2,4: 57:[14, 69] Operation: 70-1=69
Moving to Node #0,1
Current State: 57:[16, 1, 40], Operations: ['70-30=40']
Exploring Operation: 16+40=56, Resulting Numbers: [1, 56]
Generated Node #0,1,0: 57:[1, 56] Operation: 16+40=56
Exploring Operation: 1+40=41, Resulting Numbers: [16, 41]
Generated Node #0,1,1: 57:[16, 41] Operation: 1+40=41
Exploring Operation: 40-16=24, Resulting Numbers: [1, 24]
Generated Node #0,1,2: 57:[1, 24] Operation: 40-16=24
Exploring Operation: 16+1=17, Resulting Numbers: [40, 17]
Generated Node #0,1,3: 57:[40, 17] Operation: 16+1=17
Exploring Operation: 16*1=16, Resulting Numbers: [40, 16]
Generated Node #0,1,4: 57:[40, 16] Operation: 16*1=16
Moving to Node #0,3
Current State: 57:[70, 1, 46], Operations: ['16+30=46']
Exploring Operation: 1+46=47, Resulting Numbers: [70, 47]
Generated Node #0,3,0: 57:[70, 47] Operation: 1+46=47
Exploring Operation: 70*1=70, Resulting Numbers: [46, 70]
Generated Node #0,3,1: 57:[46, 70] Operation: 70*1=70
Exploring Operation: 70/1=70, Resulting Numbers: [46, 70]
Generated Node #0,3,2: 57:[46, 70] Operation: 70/1=70
Exploring Operation: 70-46=24, Resulting Numbers: [1, 24]
Generated Node #0,3,3: 57:[1, 24] Operation: 70-46=24
Exploring Operation: 70-1=69, Resulting Numbers: [46, 69]
Generated Node #0,3,4: 57:[46, 69] Operation: 70-1=69
Moving to Node #0,4
Current State: 57:[70, 30, 17], Operations: ['16+1=17']
Exploring Operation: 70-30=40, Resulting Numbers: [17, 40]
Generated Node #0,4,0: 57:[17, 40] Operation: 70-30=40
Exploring Operation: 30-17=13, Resulting Numbers: [70, 13]
Generated Node #0,4,1: 57:[70, 13] Operation: 30-17=13
Exploring Operation: 30+17=47, Resulting Numbers: [70, 47]
Generated Node #0,4,2: 57:[70, 47] Operation: 30+17=47
Exploring Operation: 70+17=87, Resulting Numbers: [30, 87]
Generated Node #0,4,3: 57:[30, 87] Operation: 70+17=87
Exploring Operation: 70-17=53, Resulting Numbers: [30, 53]
Generated Node #0,4,4: 57:[30, 53] Operation: 70-17=53
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 57:[30, 53], Operations: ['16+1=17', '70-17=53']
Exploring Operation: 53-30=23, Resulting Numbers: [23]
23,57 unequal: No Solution
Exploring Operation: 30*53=1590, Resulting Numbers: [1590]
1590,57 unequal: No Solution
Exploring Operation: 30+53=83, Resulting Numbers: [83]
83,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 57:[17, 40], Operations: ['16+1=17', '70-30=40']
Exploring Operation: 17*40=680, Resulting Numbers: [680]
680,57 unequal: No Solution
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[16, 70, 1, 30], Operations: []
Exploring Operation: 16+1=17, Resulting Numbers: [70, 30, 17]
Generated Node #0,4: 57:[70, 30, 17] Operation: 16+1=17
Moving to Node #0,4
Current State: 57:[70, 30, 17], Operations: ['16+1=17']
Exploring Operation: 70-30=40, Resulting Numbers: [17, 40]
Generated Node #0,4,0: 57:[17, 40] Operation: 70-30=40
Moving to Node #0,4,0
Current State: 57:[17, 40], Operations: ['16+1=17', '70-30=40']
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.952257 |
hs_5
|
sum_heuristic
|
[
38,
73,
70,
47
] | 58 |
[
"73-38=35",
"70-47=23",
"35+23=58"
] |
Current State: 58:[38, 73, 70, 47], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [70, 47, 35]
Generated Node #2: [70, 47, 35] from Operation: 73-38=35
Current State: 58:[70, 47, 35], Operations: ['73-38=35']
Exploring Operation: 70-47=23, Resulting Numbers: [35, 23]
Generated Node #3: [35, 23] from Operation: 70-47=23
Current State: 58:[35, 23], Operations: ['73-38=35', '70-47=23']
Exploring Operation: 35+23=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
Current State: 58:[38, 73, 70, 47], Operations: []
Exploring Operation: 73-47=26, Resulting Numbers: [38, 70, 26]
Generated Node #0,0: 58:[38, 70, 26] Operation: 73-47=26
Exploring Operation: 70-38=32, Resulting Numbers: [73, 47, 32]
Generated Node #0,1: 58:[73, 47, 32] Operation: 70-38=32
Exploring Operation: 73-38=35, Resulting Numbers: [70, 47, 35]
Generated Node #0,2: 58:[70, 47, 35] Operation: 73-38=35
Exploring Operation: 73-70=3, Resulting Numbers: [38, 47, 3]
Generated Node #0,3: 58:[38, 47, 3] Operation: 73-70=3
Moving to Node #0,3
Current State: 58:[38, 47, 3], Operations: ['73-70=3']
Exploring Operation: 38+3=41, Resulting Numbers: [47, 41]
Generated Node #0,3,0: 58:[47, 41] Operation: 38+3=41
Exploring Operation: 47+3=50, Resulting Numbers: [38, 50]
Generated Node #0,3,1: 58:[38, 50] Operation: 47+3=50
Exploring Operation: 47-38=9, Resulting Numbers: [3, 9]
Generated Node #0,3,2: 58:[3, 9] Operation: 47-38=9
Exploring Operation: 38-3=35, Resulting Numbers: [47, 35]
Generated Node #0,3,3: 58:[47, 35] Operation: 38-3=35
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 58:[3, 9], Operations: ['73-70=3', '47-38=9']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,58 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 58:[38, 50], Operations: ['73-70=3', '47+3=50']
Exploring Operation: 38+50=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,58 unequal: No Solution
Exploring Operation: 38*50=1900, Resulting Numbers: [1900]
1900,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 58:[47, 35], Operations: ['73-70=3', '38-3=35']
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,58 unequal: No Solution
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,58 unequal: No Solution
Exploring Operation: 47*35=1645, Resulting Numbers: [1645]
1645,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 58:[47, 41], Operations: ['73-70=3', '38+3=41']
Exploring Operation: 47-41=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 47*41=1927, Resulting Numbers: [1927]
1927,58 unequal: No Solution
Exploring Operation: 47+41=88, Resulting Numbers: [88]
88,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 58:[38, 70, 26], Operations: ['73-47=26']
Exploring Operation: 70-26=44, Resulting Numbers: [38, 44]
Generated Node #0,0,0: 58:[38, 44] Operation: 70-26=44
Exploring Operation: 70-38=32, Resulting Numbers: [26, 32]
Generated Node #0,0,1: 58:[26, 32] Operation: 70-38=32
Exploring Operation: 38-26=12, Resulting Numbers: [70, 12]
Generated Node #0,0,2: 58:[70, 12] Operation: 38-26=12
Exploring Operation: 38+26=64, Resulting Numbers: [70, 64]
Generated Node #0,0,3: 58:[70, 64] Operation: 38+26=64
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[26, 32], Operations: ['73-47=26', '70-38=32']
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 26*32=832, Resulting Numbers: [832]
832,58 unequal: No Solution
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[38, 73, 70, 47], Operations: []
Exploring Operation: 73-47=26, Resulting Numbers: [38, 70, 26]
Generated Node #0,0: 58:[38, 70, 26] Operation: 73-47=26
Moving to Node #0,0
Current State: 58:[38, 70, 26], Operations: ['73-47=26']
Exploring Operation: 70-38=32, Resulting Numbers: [26, 32]
Generated Node #0,0,1: 58:[26, 32] Operation: 70-38=32
Moving to Node #0,0,1
Current State: 58:[26, 32], Operations: ['73-47=26', '70-38=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 |
hs_4
|
sum_heuristic
|
[
97,
21,
2,
95
] | 20 |
[
"97-2=95",
"95/95=1",
"21-1=20"
] |
Current State: 20:[97, 21, 2, 95], Operations: []
Exploring Operation: 97-2=95, Resulting Numbers: [21, 95, 95]
Generated Node #2: [21, 95, 95] from Operation: 97-2=95
Current State: 20:[21, 95, 95], Operations: ['97-2=95']
Exploring Operation: 95/95=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 95/95=1
Current State: 20:[21, 1], Operations: ['97-2=95', '95/95=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
Current State: 20:[97, 21, 2, 95], Operations: []
Exploring Operation: 97-21=76, Resulting Numbers: [2, 95, 76]
Generated Node #0,0: 20:[2, 95, 76] Operation: 97-21=76
Exploring Operation: 95-21=74, Resulting Numbers: [97, 2, 74]
Generated Node #0,1: 20:[97, 2, 74] Operation: 95-21=74
Exploring Operation: 97-95=2, Resulting Numbers: [21, 2, 2]
Generated Node #0,2: 20:[21, 2, 2] Operation: 97-95=2
Exploring Operation: 97-2=95, Resulting Numbers: [21, 95, 95]
Generated Node #0,3: 20:[21, 95, 95] Operation: 97-2=95
Exploring Operation: 95-2=93, Resulting Numbers: [97, 21, 93]
Generated Node #0,4: 20:[97, 21, 93] Operation: 95-2=93
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[21, 2, 2], Operations: ['97-95=2']
Exploring Operation: 2/2=1, Resulting Numbers: [21, 1]
Generated Node #0,2,0: 20:[21, 1] Operation: 2/2=1
Exploring Operation: 2+2=4, Resulting Numbers: [21, 4]
Generated Node #0,2,1: 20:[21, 4] Operation: 2+2=4
Exploring Operation: 21-2=19, Resulting Numbers: [2, 19]
Generated Node #0,2,2: 20:[2, 19] Operation: 21-2=19
Exploring Operation: 21-2=19, Resulting Numbers: [2, 19]
Generated Node #0,2,3: 20:[2, 19] Operation: 21-2=19
Exploring Operation: 2*2=4, Resulting Numbers: [21, 4]
Generated Node #0,2,4: 20:[21, 4] Operation: 2*2=4
Moving to Node #0,2,1
Current State: 20:[21, 4], Operations: ['97-95=2', '2+2=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Moving to Node #0,2,3
Current State: 20:[2, 19], Operations: ['97-95=2', '21-2=19']
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,20 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Moving to Node #0,2,2
Current State: 20:[2, 19], Operations: ['97-95=2', '21-2=19']
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,20 unequal: No Solution
Moving to Node #0,2,4
Current State: 20:[21, 4], Operations: ['97-95=2', '2*2=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Moving to Node #0,2,0
Current State: 20:[21, 1], Operations: ['97-95=2', '2/2=1']
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,20 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[97, 21, 2, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [21, 2, 2]
Generated Node #0,2: 20:[21, 2, 2] Operation: 97-95=2
Moving to Node #0,2
Current State: 20:[21, 2, 2], Operations: ['97-95=2']
Exploring Operation: 2/2=1, Resulting Numbers: [21, 1]
Generated Node #0,2,0: 20:[21, 1] Operation: 2/2=1
Moving to Node #0,2,0
Current State: 20:[21, 1], Operations: ['97-95=2', '2/2=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 |
hs_5
|
sum_heuristic
|
[
90,
45,
14,
50
] | 55 |
[
"90+50=140",
"140/14=10",
"45+10=55"
] |
Current State: 55:[90, 45, 14, 50], Operations: []
Exploring Operation: 90+50=140, Resulting Numbers: [45, 14, 140]
Generated Node #2: [45, 14, 140] from Operation: 90+50=140
Current State: 55:[45, 14, 140], Operations: ['90+50=140']
Exploring Operation: 140/14=10, Resulting Numbers: [45, 10]
Generated Node #3: [45, 10] from Operation: 140/14=10
Current State: 55:[45, 10], Operations: ['90+50=140', '140/14=10']
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
Current State: 55:[90, 45, 14, 50], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [14, 50, 2]
Generated Node #0,0: 55:[14, 50, 2] Operation: 90/45=2
Moving to Node #0,0
Current State: 55:[14, 50, 2], Operations: ['90/45=2']
Exploring Operation: 14-2=12, Resulting Numbers: [50, 12]
Generated Node #0,0,0: 55:[50, 12] Operation: 14-2=12
Moving to Node #0,0,0
Current State: 55:[50, 12], Operations: ['90/45=2', '14-2=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,55 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
7,
6,
1,
81
] | 93 |
[
"7+6=13",
"81-1=80",
"13+80=93"
] |
Current State: 93:[7, 6, 1, 81], Operations: []
Exploring Operation: 7+6=13, Resulting Numbers: [1, 81, 13]
Generated Node #2: [1, 81, 13] from Operation: 7+6=13
Current State: 93:[1, 81, 13], Operations: ['7+6=13']
Exploring Operation: 81-1=80, Resulting Numbers: [13, 80]
Generated Node #3: [13, 80] from Operation: 81-1=80
Current State: 93:[13, 80], Operations: ['7+6=13', '81-1=80']
Exploring Operation: 13+80=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[7, 6, 1, 81], Operations: []
Exploring Operation: 6+81=87, Resulting Numbers: [7, 1, 87]
Generated Node #0,0: 93:[7, 1, 87] Operation: 6+81=87
Exploring Operation: 7+81=88, Resulting Numbers: [6, 1, 88]
Generated Node #0,1: 93:[6, 1, 88] Operation: 7+81=88
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[6, 1, 88], Operations: ['7+81=88']
Exploring Operation: 6-1=5, Resulting Numbers: [88, 5]
Generated Node #0,1,0: 93:[88, 5] Operation: 6-1=5
Exploring Operation: 6+88=94, Resulting Numbers: [1, 94]
Generated Node #0,1,1: 93:[1, 94] Operation: 6+88=94
Moving to Node #0,1,1
Current State: 93:[1, 94], Operations: ['7+81=88', '6+88=94']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[7, 6, 1, 81], Operations: []
Exploring Operation: 7+81=88, Resulting Numbers: [6, 1, 88]
Generated Node #0,1: 93:[6, 1, 88] Operation: 7+81=88
Moving to Node #0,1
Current State: 93:[6, 1, 88], Operations: ['7+81=88']
Exploring Operation: 6+88=94, Resulting Numbers: [1, 94]
Generated Node #0,1,1: 93:[1, 94] Operation: 6+88=94
Moving to Node #0,1,1
Current State: 93:[1, 94], Operations: ['7+81=88', '6+88=94']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
mult_heuristic
|
[
27,
45,
83,
73
] | 82 |
[
"27+45=72",
"83-73=10",
"72+10=82"
] |
Current State: 82:[27, 45, 83, 73], Operations: []
Exploring Operation: 27+45=72, Resulting Numbers: [83, 73, 72]
Generated Node #2: [83, 73, 72] from Operation: 27+45=72
Current State: 82:[83, 73, 72], Operations: ['27+45=72']
Exploring Operation: 83-73=10, Resulting Numbers: [72, 10]
Generated Node #3: [72, 10] from Operation: 83-73=10
Current State: 82:[72, 10], Operations: ['27+45=72', '83-73=10']
Exploring Operation: 72+10=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
Current State: 82:[27, 45, 83, 73], Operations: []
Exploring Operation: 73-27=46, Resulting Numbers: [45, 83, 46]
Generated Node #0,0: 82:[45, 83, 46] Operation: 73-27=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[45, 83, 46], Operations: ['73-27=46']
Exploring Operation: 46-45=1, Resulting Numbers: [83, 1]
Generated Node #0,0,0: 82:[83, 1] Operation: 46-45=1
Moving to Node #0,0,0
Current State: 82:[83, 1], Operations: ['73-27=46', '46-45=1']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[27, 45, 83, 73], Operations: []
Exploring Operation: 73-27=46, Resulting Numbers: [45, 83, 46]
Generated Node #0,0: 82:[45, 83, 46] Operation: 73-27=46
Moving to Node #0,0
Current State: 82:[45, 83, 46], Operations: ['73-27=46']
Exploring Operation: 46-45=1, Resulting Numbers: [83, 1]
Generated Node #0,0,0: 82:[83, 1] Operation: 46-45=1
Moving to Node #0,0,0
Current State: 82:[83, 1], Operations: ['73-27=46', '46-45=1']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
sum_heuristic
|
[
89,
6,
42,
49
] | 19 |
[
"89+49=138",
"138/6=23",
"42-23=19"
] |
Current State: 19:[89, 6, 42, 49], Operations: []
Exploring Operation: 89+49=138, Resulting Numbers: [6, 42, 138]
Generated Node #2: [6, 42, 138] from Operation: 89+49=138
Current State: 19:[6, 42, 138], Operations: ['89+49=138']
Exploring Operation: 138/6=23, Resulting Numbers: [42, 23]
Generated Node #3: [42, 23] from Operation: 138/6=23
Current State: 19:[42, 23], Operations: ['89+49=138', '138/6=23']
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[89, 6, 42, 49], Operations: []
Exploring Operation: 89-42=47, Resulting Numbers: [6, 49, 47]
Generated Node #0,0: 19:[6, 49, 47] Operation: 89-42=47
Exploring Operation: 89-49=40, Resulting Numbers: [6, 42, 40]
Generated Node #0,1: 19:[6, 42, 40] Operation: 89-49=40
Exploring Operation: 49-42=7, Resulting Numbers: [89, 6, 7]
Generated Node #0,2: 19:[89, 6, 7] Operation: 49-42=7
Moving to Node #0,1
Current State: 19:[6, 42, 40], Operations: ['89-49=40']
Exploring Operation: 42-6=36, Resulting Numbers: [40, 36]
Generated Node #0,1,0: 19:[40, 36] Operation: 42-6=36
Exploring Operation: 42-40=2, Resulting Numbers: [6, 2]
Generated Node #0,1,1: 19:[6, 2] Operation: 42-40=2
Exploring Operation: 42/6=7, Resulting Numbers: [40, 7]
Generated Node #0,1,2: 19:[40, 7] Operation: 42/6=7
Moving to Node #0,0
Current State: 19:[6, 49, 47], Operations: ['89-42=47']
Exploring Operation: 49-47=2, Resulting Numbers: [6, 2]
Generated Node #0,0,0: 19:[6, 2] Operation: 49-47=2
Exploring Operation: 47-6=41, Resulting Numbers: [49, 41]
Generated Node #0,0,1: 19:[49, 41] Operation: 47-6=41
Exploring Operation: 49-6=43, Resulting Numbers: [47, 43]
Generated Node #0,0,2: 19:[47, 43] Operation: 49-6=43
Moving to Node #0,2
Current State: 19:[89, 6, 7], Operations: ['49-42=7']
Exploring Operation: 6+7=13, Resulting Numbers: [89, 13]
Generated Node #0,2,0: 19:[89, 13] Operation: 6+7=13
Exploring Operation: 89-7=82, Resulting Numbers: [6, 82]
Generated Node #0,2,1: 19:[6, 82] Operation: 89-7=82
Exploring Operation: 89-6=83, Resulting Numbers: [7, 83]
Generated Node #0,2,2: 19:[7, 83] Operation: 89-6=83
Moving to Node #0,1,1
Current State: 19:[6, 2], Operations: ['89-49=40', '42-40=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[6, 2], Operations: ['89-42=47', '49-47=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[40, 7], Operations: ['89-49=40', '42/6=7']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,19 unequal: No Solution
Exploring Operation: 40*7=280, Resulting Numbers: [280]
280,19 unequal: No Solution
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[40, 36], Operations: ['89-49=40', '42-6=36']
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 40*36=1440, Resulting Numbers: [1440]
1440,19 unequal: No Solution
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[47, 43], Operations: ['89-42=47', '49-6=43']
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 47*43=2021, Resulting Numbers: [2021]
2021,19 unequal: No Solution
Exploring Operation: 47+43=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[49, 41], Operations: ['89-42=47', '47-6=41']
Exploring Operation: 49-41=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 49+41=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 49*41=2009, Resulting Numbers: [2009]
2009,19 unequal: No Solution
Moving to Node #0,2,0
Current State: 19:[89, 13], Operations: ['49-42=7', '6+7=13']
Exploring Operation: 89+13=102, Resulting Numbers: [102]
102,19 unequal: No Solution
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,19 unequal: No Solution
Exploring Operation: 89*13=1157, Resulting Numbers: [1157]
1157,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[6, 82], Operations: ['49-42=7', '89-7=82']
Exploring Operation: 6*82=492, Resulting Numbers: [492]
492,19 unequal: No Solution
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,19 unequal: No Solution
Exploring Operation: 6+82=88, Resulting Numbers: [88]
88,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[7, 83], Operations: ['49-42=7', '89-6=83']
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,19 unequal: No Solution
Exploring Operation: 7+83=90, Resulting Numbers: [90]
90,19 unequal: No Solution
Exploring Operation: 7*83=581, Resulting Numbers: [581]
581,19 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
58,
33,
26,
93
] | 94 |
[
"58-33=25",
"26+93=119",
"119-25=94"
] |
Current State: 94:[58, 33, 26, 93], Operations: []
Exploring Operation: 58-33=25, Resulting Numbers: [26, 93, 25]
Generated Node #2: [26, 93, 25] from Operation: 58-33=25
Current State: 94:[26, 93, 25], Operations: ['58-33=25']
Exploring Operation: 26+93=119, Resulting Numbers: [25, 119]
Generated Node #3: [25, 119] from Operation: 26+93=119
Current State: 94:[25, 119], Operations: ['58-33=25', '26+93=119']
Exploring Operation: 119-25=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[58, 33, 26, 93], Operations: []
Exploring Operation: 58+33=91, Resulting Numbers: [26, 93, 91]
Generated Node #0,0: 94:[26, 93, 91] Operation: 58+33=91
Exploring Operation: 33-26=7, Resulting Numbers: [58, 93, 7]
Generated Node #0,1: 94:[58, 93, 7] Operation: 33-26=7
Exploring Operation: 33+26=59, Resulting Numbers: [58, 93, 59]
Generated Node #0,2: 94:[58, 93, 59] Operation: 33+26=59
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[58, 93, 7], Operations: ['33-26=7']
Exploring Operation: 58-7=51, Resulting Numbers: [93, 51]
Generated Node #0,1,0: 94:[93, 51] Operation: 58-7=51
Exploring Operation: 93-58=35, Resulting Numbers: [7, 35]
Generated Node #0,1,1: 94:[7, 35] Operation: 93-58=35
Exploring Operation: 93+7=100, Resulting Numbers: [58, 100]
Generated Node #0,1,2: 94:[58, 100] Operation: 93+7=100
Moving to Node #0,1,0
Current State: 94:[93, 51], Operations: ['33-26=7', '58-7=51']
Exploring Operation: 93*51=4743, Resulting Numbers: [4743]
4743,94 unequal: No Solution
Exploring Operation: 93-51=42, Resulting Numbers: [42]
42,94 unequal: No Solution
Exploring Operation: 93+51=144, Resulting Numbers: [144]
144,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[7, 35], Operations: ['33-26=7', '93-58=35']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,94 unequal: No Solution
Exploring Operation: 35/7=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 7+35=42, Resulting Numbers: [42]
42,94 unequal: No Solution
Moving to Node #0,1,2
Current State: 94:[58, 100], Operations: ['33-26=7', '93+7=100']
Exploring Operation: 58*100=5800, Resulting Numbers: [5800]
5800,94 unequal: No Solution
Exploring Operation: 58+100=158, Resulting Numbers: [158]
158,94 unequal: No Solution
Exploring Operation: 100-58=42, Resulting Numbers: [42]
42,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 94:[58, 93, 59], Operations: ['33+26=59']
Exploring Operation: 59-58=1, Resulting Numbers: [93, 1]
Generated Node #0,2,0: 94:[93, 1] Operation: 59-58=1
Exploring Operation: 58+59=117, Resulting Numbers: [93, 117]
Generated Node #0,2,1: 94:[93, 117] Operation: 58+59=117
Exploring Operation: 93-58=35, Resulting Numbers: [59, 35]
Generated Node #0,2,2: 94:[59, 35] Operation: 93-58=35
Moving to Node #0,2,0
Current State: 94:[93, 1], Operations: ['33+26=59', '59-58=1']
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[58, 33, 26, 93], Operations: []
Exploring Operation: 33+26=59, Resulting Numbers: [58, 93, 59]
Generated Node #0,2: 94:[58, 93, 59] Operation: 33+26=59
Moving to Node #0,2
Current State: 94:[58, 93, 59], Operations: ['33+26=59']
Exploring Operation: 59-58=1, Resulting Numbers: [93, 1]
Generated Node #0,2,0: 94:[93, 1] Operation: 59-58=1
Moving to Node #0,2,0
Current State: 94:[93, 1], Operations: ['33+26=59', '59-58=1']
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 |
hs_3
|
sum_heuristic
|
[
18,
38,
94,
47
] | 40 |
[
"38-18=20",
"94/47=2",
"20*2=40"
] |
Current State: 40:[18, 38, 94, 47], Operations: []
Exploring Operation: 38-18=20, Resulting Numbers: [94, 47, 20]
Generated Node #2: [94, 47, 20] from Operation: 38-18=20
Current State: 40:[94, 47, 20], Operations: ['38-18=20']
Exploring Operation: 94/47=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 94/47=2
Current State: 40:[20, 2], Operations: ['38-18=20', '94/47=2']
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
Current State: 40:[18, 38, 94, 47], Operations: []
Exploring Operation: 94-47=47, Resulting Numbers: [18, 38, 47]
Generated Node #0,0: 40:[18, 38, 47] Operation: 94-47=47
Exploring Operation: 94/47=2, Resulting Numbers: [18, 38, 2]
Generated Node #0,1: 40:[18, 38, 2] Operation: 94/47=2
Moving to Node #0,1
Current State: 40:[18, 38, 2], Operations: ['94/47=2']
Exploring Operation: 38-18=20, Resulting Numbers: [2, 20]
Generated Node #0,1,0: 40:[2, 20] Operation: 38-18=20
Exploring Operation: 18+2=20, Resulting Numbers: [38, 20]
Generated Node #0,1,1: 40:[38, 20] Operation: 18+2=20
Moving to Node #0,0
Current State: 40:[18, 38, 47], Operations: ['94-47=47']
Exploring Operation: 38-18=20, Resulting Numbers: [47, 20]
Generated Node #0,0,0: 40:[47, 20] Operation: 38-18=20
Exploring Operation: 47-38=9, Resulting Numbers: [18, 9]
Generated Node #0,0,1: 40:[18, 9] Operation: 47-38=9
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[18, 9], Operations: ['94-47=47', '47-38=9']
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[47, 20], Operations: ['94-47=47', '38-18=20']
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 40:[2, 20], Operations: ['94/47=2', '38-18=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[18, 38, 94, 47], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [18, 38, 2]
Generated Node #0,1: 40:[18, 38, 2] Operation: 94/47=2
Moving to Node #0,1
Current State: 40:[18, 38, 2], Operations: ['94/47=2']
Exploring Operation: 38-18=20, Resulting Numbers: [2, 20]
Generated Node #0,1,0: 40:[2, 20] Operation: 38-18=20
Moving to Node #0,1,0
Current State: 40:[2, 20], Operations: ['94/47=2', '38-18=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.986111 |
hs_2
|
mult_heuristic
|
[
78,
50,
96,
20
] | 99 |
[
"78*50=3900",
"3900/20=195",
"195-96=99"
] |
Current State: 99:[78, 50, 96, 20], Operations: []
Exploring Operation: 78*50=3900, Resulting Numbers: [96, 20, 3900]
Generated Node #2: [96, 20, 3900] from Operation: 78*50=3900
Current State: 99:[96, 20, 3900], Operations: ['78*50=3900']
Exploring Operation: 3900/20=195, Resulting Numbers: [96, 195]
Generated Node #3: [96, 195] from Operation: 3900/20=195
Current State: 99:[96, 195], Operations: ['78*50=3900', '3900/20=195']
Exploring Operation: 195-96=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[78, 50, 96, 20], Operations: []
Exploring Operation: 78-50=28, Resulting Numbers: [96, 20, 28]
Generated Node #0,0: 99:[96, 20, 28] Operation: 78-50=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[96, 20, 28], Operations: ['78-50=28']
Exploring Operation: 28-20=8, Resulting Numbers: [96, 8]
Generated Node #0,0,0: 99:[96, 8] Operation: 28-20=8
Moving to Node #0,0,0
Current State: 99:[96, 8], Operations: ['78-50=28', '28-20=8']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
23,
94,
84,
6
] | 26 |
[
"84*6=504",
"94+504=598",
"598/23=26"
] |
Current State: 26:[23, 94, 84, 6], Operations: []
Exploring Operation: 84*6=504, Resulting Numbers: [23, 94, 504]
Generated Node #2: [23, 94, 504] from Operation: 84*6=504
Current State: 26:[23, 94, 504], Operations: ['84*6=504']
Exploring Operation: 94+504=598, Resulting Numbers: [23, 598]
Generated Node #3: [23, 598] from Operation: 94+504=598
Current State: 26:[23, 598], Operations: ['84*6=504', '94+504=598']
Exploring Operation: 598/23=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[23, 94, 84, 6], Operations: []
Exploring Operation: 84/6=14, Resulting Numbers: [23, 94, 14]
Generated Node #0,0: 26:[23, 94, 14] Operation: 84/6=14
Exploring Operation: 94-84=10, Resulting Numbers: [23, 6, 10]
Generated Node #0,1: 26:[23, 6, 10] Operation: 94-84=10
Moving to Node #0,1
Current State: 26:[23, 6, 10], Operations: ['94-84=10']
Exploring Operation: 10-6=4, Resulting Numbers: [23, 4]
Generated Node #0,1,0: 26:[23, 4] Operation: 10-6=4
Exploring Operation: 23-10=13, Resulting Numbers: [6, 13]
Generated Node #0,1,1: 26:[6, 13] Operation: 23-10=13
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[6, 13], Operations: ['94-84=10', '23-10=13']
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 26:[23, 4], Operations: ['94-84=10', '10-6=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 26:[23, 94, 14], Operations: ['84/6=14']
Exploring Operation: 94-23=71, Resulting Numbers: [14, 71]
Generated Node #0,0,0: 26:[14, 71] Operation: 94-23=71
Exploring Operation: 94-14=80, Resulting Numbers: [23, 80]
Generated Node #0,0,1: 26:[23, 80] Operation: 94-14=80
Moving to Node #0,0,0
Current State: 26:[14, 71], Operations: ['84/6=14', '94-23=71']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,26 unequal: No Solution
Exploring Operation: 14+71=85, Resulting Numbers: [85]
85,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[23, 80], Operations: ['84/6=14', '94-14=80']
Exploring Operation: 23+80=103, Resulting Numbers: [103]
103,26 unequal: No Solution
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,26 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
23,
20,
88,
18
] | 94 |
[
"23-20=3",
"18/3=6",
"88+6=94"
] |
Current State: 94:[23, 20, 88, 18], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [88, 18, 3]
Generated Node #2: [88, 18, 3] from Operation: 23-20=3
Current State: 94:[88, 18, 3], Operations: ['23-20=3']
Exploring Operation: 18/3=6, Resulting Numbers: [88, 6]
Generated Node #3: [88, 6] from Operation: 18/3=6
Current State: 94:[88, 6], Operations: ['23-20=3', '18/3=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[23, 20, 88, 18], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [88, 18, 3]
Generated Node #0,0: 94:[88, 18, 3] Operation: 23-20=3
Exploring Operation: 23+20=43, Resulting Numbers: [88, 18, 43]
Generated Node #0,1: 94:[88, 18, 43] Operation: 23+20=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[88, 18, 3], Operations: ['23-20=3']
Exploring Operation: 88+18=106, Resulting Numbers: [3, 106]
Generated Node #0,0,0: 94:[3, 106] Operation: 88+18=106
Exploring Operation: 18/3=6, Resulting Numbers: [88, 6]
Generated Node #0,0,1: 94:[88, 6] Operation: 18/3=6
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[88, 6], Operations: ['23-20=3', '18/3=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[23, 20, 88, 18], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [88, 18, 3]
Generated Node #0,0: 94:[88, 18, 3] Operation: 23-20=3
Moving to Node #0,0
Current State: 94:[88, 18, 3], Operations: ['23-20=3']
Exploring Operation: 18/3=6, Resulting Numbers: [88, 6]
Generated Node #0,0,1: 94:[88, 6] Operation: 18/3=6
Moving to Node #0,0,1
Current State: 94:[88, 6], Operations: ['23-20=3', '18/3=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
mult_heuristic
|
[
43,
82,
87,
15
] | 63 |
[
"82-43=39",
"87+15=102",
"102-39=63"
] |
Current State: 63:[43, 82, 87, 15], Operations: []
Exploring Operation: 82-43=39, Resulting Numbers: [87, 15, 39]
Generated Node #2: [87, 15, 39] from Operation: 82-43=39
Current State: 63:[87, 15, 39], Operations: ['82-43=39']
Exploring Operation: 87+15=102, Resulting Numbers: [39, 102]
Generated Node #3: [39, 102] from Operation: 87+15=102
Current State: 63:[39, 102], Operations: ['82-43=39', '87+15=102']
Exploring Operation: 102-39=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[43, 82, 87, 15], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [43, 15, 5]
Generated Node #0,0: 63:[43, 15, 5] Operation: 87-82=5
Exploring Operation: 87-43=44, Resulting Numbers: [82, 15, 44]
Generated Node #0,1: 63:[82, 15, 44] Operation: 87-43=44
Exploring Operation: 82-43=39, Resulting Numbers: [87, 15, 39]
Generated Node #0,2: 63:[87, 15, 39] Operation: 82-43=39
Exploring Operation: 43+15=58, Resulting Numbers: [82, 87, 58]
Generated Node #0,3: 63:[82, 87, 58] Operation: 43+15=58
Moving to Node #0,0
Current State: 63:[43, 15, 5], Operations: ['87-82=5']
Exploring Operation: 43+5=48, Resulting Numbers: [15, 48]
Generated Node #0,0,0: 63:[15, 48] Operation: 43+5=48
Exploring Operation: 15/5=3, Resulting Numbers: [43, 3]
Generated Node #0,0,1: 63:[43, 3] Operation: 15/5=3
Exploring Operation: 43-15=28, Resulting Numbers: [5, 28]
Generated Node #0,0,2: 63:[5, 28] Operation: 43-15=28
Exploring Operation: 43+15=58, Resulting Numbers: [5, 58]
Generated Node #0,0,3: 63:[5, 58] Operation: 43+15=58
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 63:[5, 58], Operations: ['87-82=5', '43+15=58']
Exploring Operation: 5*58=290, Resulting Numbers: [290]
290,63 unequal: No Solution
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[43, 82, 87, 15], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [43, 15, 5]
Generated Node #0,0: 63:[43, 15, 5] Operation: 87-82=5
Moving to Node #0,0
Current State: 63:[43, 15, 5], Operations: ['87-82=5']
Exploring Operation: 43+15=58, Resulting Numbers: [5, 58]
Generated Node #0,0,3: 63:[5, 58] Operation: 43+15=58
Moving to Node #0,0,3
Current State: 63:[5, 58], Operations: ['87-82=5', '43+15=58']
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
sum_heuristic
|
[
41,
20,
44,
75
] | 30 |
[
"41+20=61",
"75-44=31",
"61-31=30"
] |
Current State: 30:[41, 20, 44, 75], Operations: []
Exploring Operation: 41+20=61, Resulting Numbers: [44, 75, 61]
Generated Node #2: [44, 75, 61] from Operation: 41+20=61
Current State: 30:[44, 75, 61], Operations: ['41+20=61']
Exploring Operation: 75-44=31, Resulting Numbers: [61, 31]
Generated Node #3: [61, 31] from Operation: 75-44=31
Current State: 30:[61, 31], Operations: ['41+20=61', '75-44=31']
Exploring Operation: 61-31=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
Current State: 30:[41, 20, 44, 75], Operations: []
Exploring Operation: 75-44=31, Resulting Numbers: [41, 20, 31]
Generated Node #0,0: 30:[41, 20, 31] Operation: 75-44=31
Exploring Operation: 44-41=3, Resulting Numbers: [20, 75, 3]
Generated Node #0,1: 30:[20, 75, 3] Operation: 44-41=3
Exploring Operation: 75-41=34, Resulting Numbers: [20, 44, 34]
Generated Node #0,2: 30:[20, 44, 34] Operation: 75-41=34
Moving to Node #0,0
Current State: 30:[41, 20, 31], Operations: ['75-44=31']
Exploring Operation: 41-31=10, Resulting Numbers: [20, 10]
Generated Node #0,0,0: 30:[20, 10] Operation: 41-31=10
Exploring Operation: 31-20=11, Resulting Numbers: [41, 11]
Generated Node #0,0,1: 30:[41, 11] Operation: 31-20=11
Exploring Operation: 41-20=21, Resulting Numbers: [31, 21]
Generated Node #0,0,2: 30:[31, 21] Operation: 41-20=21
Moving to Node #0,2
Current State: 30:[20, 44, 34], Operations: ['75-41=34']
Exploring Operation: 44-34=10, Resulting Numbers: [20, 10]
Generated Node #0,2,0: 30:[20, 10] Operation: 44-34=10
Exploring Operation: 44-20=24, Resulting Numbers: [34, 24]
Generated Node #0,2,1: 30:[34, 24] Operation: 44-20=24
Exploring Operation: 34-20=14, Resulting Numbers: [44, 14]
Generated Node #0,2,2: 30:[44, 14] Operation: 34-20=14
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 30:[20, 10], Operations: ['75-41=34', '44-34=10']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[41, 20, 44, 75], Operations: []
Exploring Operation: 75-41=34, Resulting Numbers: [20, 44, 34]
Generated Node #0,2: 30:[20, 44, 34] Operation: 75-41=34
Moving to Node #0,2
Current State: 30:[20, 44, 34], Operations: ['75-41=34']
Exploring Operation: 44-34=10, Resulting Numbers: [20, 10]
Generated Node #0,2,0: 30:[20, 10] Operation: 44-34=10
Moving to Node #0,2,0
Current State: 30:[20, 10], Operations: ['75-41=34', '44-34=10']
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_3
|
sum_heuristic
|
[
52,
73,
2,
23
] | 51 |
[
"52+73=125",
"125-23=102",
"102/2=51"
] |
Current State: 51:[52, 73, 2, 23], Operations: []
Exploring Operation: 52+73=125, Resulting Numbers: [2, 23, 125]
Generated Node #2: [2, 23, 125] from Operation: 52+73=125
Current State: 51:[2, 23, 125], Operations: ['52+73=125']
Exploring Operation: 125-23=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 125-23=102
Current State: 51:[2, 102], Operations: ['52+73=125', '125-23=102']
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
Current State: 51:[52, 73, 2, 23], Operations: []
Exploring Operation: 73-52=21, Resulting Numbers: [2, 23, 21]
Generated Node #0,0: 51:[2, 23, 21] Operation: 73-52=21
Exploring Operation: 23-2=21, Resulting Numbers: [52, 73, 21]
Generated Node #0,1: 51:[52, 73, 21] Operation: 23-2=21
Exploring Operation: 73-23=50, Resulting Numbers: [52, 2, 50]
Generated Node #0,2: 51:[52, 2, 50] Operation: 73-23=50
Exploring Operation: 73-2=71, Resulting Numbers: [52, 23, 71]
Generated Node #0,3: 51:[52, 23, 71] Operation: 73-2=71
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[52, 2, 50], Operations: ['73-23=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52, 52]
Generated Node #0,2,0: 51:[52, 52] Operation: 2+50=52
Exploring Operation: 52-2=50, Resulting Numbers: [50, 50]
Generated Node #0,2,1: 51:[50, 50] Operation: 52-2=50
Exploring Operation: 52-50=2, Resulting Numbers: [2, 2]
Generated Node #0,2,2: 51:[2, 2] Operation: 52-50=2
Exploring Operation: 52+2=54, Resulting Numbers: [50, 54]
Generated Node #0,2,3: 51:[50, 54] Operation: 52+2=54
Moving to Node #0,2,0
Current State: 51:[52, 52], Operations: ['73-23=50', '2+50=52']
Exploring Operation: 52*52=2704, Resulting Numbers: [2704]
2704,51 unequal: No Solution
Exploring Operation: 52/52=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 52-52=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 52+52=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[2, 2], Operations: ['73-23=50', '52-50=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[50, 50], Operations: ['73-23=50', '52-2=50']
Exploring Operation: 50*50=2500, Resulting Numbers: [2500]
2500,51 unequal: No Solution
Exploring Operation: 50+50=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 50-50=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 50/50=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Moving to Node #0,2,3
Current State: 51:[50, 54], Operations: ['73-23=50', '52+2=54']
Exploring Operation: 50*54=2700, Resulting Numbers: [2700]
2700,51 unequal: No Solution
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 50+54=104, Resulting Numbers: [104]
104,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[2, 23, 21], Operations: ['73-52=21']
Exploring Operation: 23+21=44, Resulting Numbers: [2, 44]
Generated Node #0,0,0: 51:[2, 44] Operation: 23+21=44
Exploring Operation: 23-21=2, Resulting Numbers: [2, 2]
Generated Node #0,0,1: 51:[2, 2] Operation: 23-21=2
Exploring Operation: 23-2=21, Resulting Numbers: [21, 21]
Generated Node #0,0,2: 51:[21, 21] Operation: 23-2=21
Exploring Operation: 21-2=19, Resulting Numbers: [23, 19]
Generated Node #0,0,3: 51:[23, 19] Operation: 21-2=19
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[2, 2], Operations: ['73-52=21', '23-21=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[2, 44], Operations: ['73-52=21', '23+21=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,51 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,51 unequal: No Solution
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 51:[21, 21], Operations: ['73-52=21', '23-2=21']
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 21*21=441, Resulting Numbers: [441]
441,51 unequal: No Solution
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 51:[23, 19], Operations: ['73-52=21', '21-2=19']
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,51 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[52, 73, 21], Operations: ['23-2=21']
Exploring Operation: 73-21=52, Resulting Numbers: [52, 52]
Generated Node #0,1,0: 51:[52, 52] Operation: 73-21=52
Exploring Operation: 73-52=21, Resulting Numbers: [21, 21]
Generated Node #0,1,1: 51:[21, 21] Operation: 73-52=21
Exploring Operation: 52-21=31, Resulting Numbers: [73, 31]
Generated Node #0,1,2: 51:[73, 31] Operation: 52-21=31
Exploring Operation: 52+21=73, Resulting Numbers: [73, 73]
Generated Node #0,1,3: 51:[73, 73] Operation: 52+21=73
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[52, 52], Operations: ['23-2=21', '73-21=52']
Exploring Operation: 52+52=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 52-52=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 52/52=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 52*52=2704, Resulting Numbers: [2704]
2704,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[21, 21], Operations: ['23-2=21', '73-52=21']
Exploring Operation: 21-21=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 21*21=441, Resulting Numbers: [441]
441,51 unequal: No Solution
Exploring Operation: 21+21=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 21/21=1, Resulting Numbers: [1]
1,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[73, 31], Operations: ['23-2=21', '52-21=31']
Exploring Operation: 73+31=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 73-31=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 73*31=2263, Resulting Numbers: [2263]
2263,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 51:[73, 73], Operations: ['23-2=21', '52+21=73']
Exploring Operation: 73*73=5329, Resulting Numbers: [5329]
5329,51 unequal: No Solution
Exploring Operation: 73+73=146, Resulting Numbers: [146]
146,51 unequal: No Solution
Exploring Operation: 73/73=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 73-73=0, Resulting Numbers: [0]
0,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[52, 23, 71], Operations: ['73-2=71']
Exploring Operation: 52-23=29, Resulting Numbers: [71, 29]
Generated Node #0,3,0: 51:[71, 29] Operation: 52-23=29
Exploring Operation: 71-23=48, Resulting Numbers: [52, 48]
Generated Node #0,3,1: 51:[52, 48] Operation: 71-23=48
Exploring Operation: 52+23=75, Resulting Numbers: [71, 75]
Generated Node #0,3,2: 51:[71, 75] Operation: 52+23=75
Exploring Operation: 71-52=19, Resulting Numbers: [23, 19]
Generated Node #0,3,3: 51:[23, 19] Operation: 71-52=19
Moving to Node #0,3,1
Current State: 51:[52, 48], Operations: ['73-2=71', '71-23=48']
Exploring Operation: 52+48=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 52*48=2496, Resulting Numbers: [2496]
2496,51 unequal: No Solution
Exploring Operation: 52-48=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Moving to Node #0,3,3
Current State: 51:[23, 19], Operations: ['73-2=71', '71-52=19']
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,51 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Moving to Node #0,3,0
Current State: 51:[71, 29], Operations: ['73-2=71', '52-23=29']
Exploring Operation: 71*29=2059, Resulting Numbers: [2059]
2059,51 unequal: No Solution
Exploring Operation: 71+29=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Moving to Node #0,3,2
Current State: 51:[71, 75], Operations: ['73-2=71', '52+23=75']
Exploring Operation: 71*75=5325, Resulting Numbers: [5325]
5325,51 unequal: No Solution
Exploring Operation: 75-71=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 71+75=146, Resulting Numbers: [146]
146,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
31,
42,
11,
16
] | 46 |
[
"31+42=73",
"11+16=27",
"73-27=46"
] |
Current State: 46:[31, 42, 11, 16], Operations: []
Exploring Operation: 31+42=73, Resulting Numbers: [11, 16, 73]
Generated Node #2: [11, 16, 73] from Operation: 31+42=73
Current State: 46:[11, 16, 73], Operations: ['31+42=73']
Exploring Operation: 11+16=27, Resulting Numbers: [73, 27]
Generated Node #3: [73, 27] from Operation: 11+16=27
Current State: 46:[73, 27], Operations: ['31+42=73', '11+16=27']
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[31, 42, 11, 16], Operations: []
Exploring Operation: 31-11=20, Resulting Numbers: [42, 16, 20]
Generated Node #0,0: 46:[42, 16, 20] Operation: 31-11=20
Exploring Operation: 31+11=42, Resulting Numbers: [42, 16, 42]
Generated Node #0,1: 46:[42, 16, 42] Operation: 31+11=42
Exploring Operation: 31+16=47, Resulting Numbers: [42, 11, 47]
Generated Node #0,2: 46:[42, 11, 47] Operation: 31+16=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[42, 16, 20], Operations: ['31-11=20']
Exploring Operation: 42-16=26, Resulting Numbers: [20, 26]
Generated Node #0,0,0: 46:[20, 26] Operation: 42-16=26
Exploring Operation: 20-16=4, Resulting Numbers: [42, 4]
Generated Node #0,0,1: 46:[42, 4] Operation: 20-16=4
Exploring Operation: 42-20=22, Resulting Numbers: [16, 22]
Generated Node #0,0,2: 46:[16, 22] Operation: 42-20=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[20, 26], Operations: ['31-11=20', '42-16=26']
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,46 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,46 unequal: No Solution
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[31, 42, 11, 16], Operations: []
Exploring Operation: 31-11=20, Resulting Numbers: [42, 16, 20]
Generated Node #0,0: 46:[42, 16, 20] Operation: 31-11=20
Moving to Node #0,0
Current State: 46:[42, 16, 20], Operations: ['31-11=20']
Exploring Operation: 42-16=26, Resulting Numbers: [20, 26]
Generated Node #0,0,0: 46:[20, 26] Operation: 42-16=26
Moving to Node #0,0,0
Current State: 46:[20, 26], Operations: ['31-11=20', '42-16=26']
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 |
hs_3
|
mult_heuristic
|
[
44,
75,
24,
81
] | 13 |
[
"44*24=1056",
"1056-81=975",
"975/75=13"
] |
Current State: 13:[44, 75, 24, 81], Operations: []
Exploring Operation: 44*24=1056, Resulting Numbers: [75, 81, 1056]
Generated Node #2: [75, 81, 1056] from Operation: 44*24=1056
Current State: 13:[75, 81, 1056], Operations: ['44*24=1056']
Exploring Operation: 1056-81=975, Resulting Numbers: [75, 975]
Generated Node #3: [75, 975] from Operation: 1056-81=975
Current State: 13:[75, 975], Operations: ['44*24=1056', '1056-81=975']
Exploring Operation: 975/75=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
Current State: 13:[44, 75, 24, 81], Operations: []
Exploring Operation: 75-44=31, Resulting Numbers: [24, 81, 31]
Generated Node #0,0: 13:[24, 81, 31] Operation: 75-44=31
Exploring Operation: 81-75=6, Resulting Numbers: [44, 24, 6]
Generated Node #0,1: 13:[44, 24, 6] Operation: 81-75=6
Exploring Operation: 81-44=37, Resulting Numbers: [75, 24, 37]
Generated Node #0,2: 13:[75, 24, 37] Operation: 81-44=37
Moving to Node #0,1
Current State: 13:[44, 24, 6], Operations: ['81-75=6']
Exploring Operation: 44-24=20, Resulting Numbers: [6, 20]
Generated Node #0,1,0: 13:[6, 20] Operation: 44-24=20
Exploring Operation: 24-6=18, Resulting Numbers: [44, 18]
Generated Node #0,1,1: 13:[44, 18] Operation: 24-6=18
Exploring Operation: 44-6=38, Resulting Numbers: [24, 38]
Generated Node #0,1,2: 13:[24, 38] Operation: 44-6=38
Moving to Node #0,0
Current State: 13:[24, 81, 31], Operations: ['75-44=31']
Exploring Operation: 81-31=50, Resulting Numbers: [24, 50]
Generated Node #0,0,0: 13:[24, 50] Operation: 81-31=50
Exploring Operation: 81-24=57, Resulting Numbers: [31, 57]
Generated Node #0,0,1: 13:[31, 57] Operation: 81-24=57
Exploring Operation: 31-24=7, Resulting Numbers: [81, 7]
Generated Node #0,0,2: 13:[81, 7] Operation: 31-24=7
Moving to Node #0,2
Current State: 13:[75, 24, 37], Operations: ['81-44=37']
Exploring Operation: 75-24=51, Resulting Numbers: [37, 51]
Generated Node #0,2,0: 13:[37, 51] Operation: 75-24=51
Exploring Operation: 75-37=38, Resulting Numbers: [24, 38]
Generated Node #0,2,1: 13:[24, 38] Operation: 75-37=38
Exploring Operation: 37-24=13, Resulting Numbers: [75, 13]
Generated Node #0,2,2: 13:[75, 13] Operation: 37-24=13
Moving to Node #0,1,0
Current State: 13:[6, 20], Operations: ['81-75=6', '44-24=20']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,13 unequal: No Solution
Moving to Node #0,1,2
Current State: 13:[24, 38], Operations: ['81-75=6', '44-6=38']
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 24*38=912, Resulting Numbers: [912]
912,13 unequal: No Solution
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[24, 38], Operations: ['81-44=37', '75-37=38']
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,13 unequal: No Solution
Exploring Operation: 24*38=912, Resulting Numbers: [912]
912,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[44, 18], Operations: ['81-75=6', '24-6=18']
Exploring Operation: 44+18=62, Resulting Numbers: [62]
62,13 unequal: No Solution
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 44*18=792, Resulting Numbers: [792]
792,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[24, 50], Operations: ['75-44=31', '81-31=50']
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 24+50=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 24*50=1200, Resulting Numbers: [1200]
1200,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[75, 13], Operations: ['81-44=37', '37-24=13']
Exploring Operation: 75*13=975, Resulting Numbers: [975]
975,13 unequal: No Solution
Exploring Operation: 75-13=62, Resulting Numbers: [62]
62,13 unequal: No Solution
Exploring Operation: 75+13=88, Resulting Numbers: [88]
88,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[31, 57], Operations: ['75-44=31', '81-24=57']
Exploring Operation: 31+57=88, Resulting Numbers: [88]
88,13 unequal: No Solution
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 31*57=1767, Resulting Numbers: [1767]
1767,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[37, 51], Operations: ['81-44=37', '75-24=51']
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,13 unequal: No Solution
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,13 unequal: No Solution
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[81, 7], Operations: ['75-44=31', '31-24=7']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 81+7=88, Resulting Numbers: [88]
88,13 unequal: No Solution
Exploring Operation: 81*7=567, Resulting Numbers: [567]
567,13 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
35,
73,
17,
5
] | 49 |
[
"35/5=7",
"73-17=56",
"56-7=49"
] |
Current State: 49:[35, 73, 17, 5], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [73, 17, 7]
Generated Node #2: [73, 17, 7] from Operation: 35/5=7
Current State: 49:[73, 17, 7], Operations: ['35/5=7']
Exploring Operation: 73-17=56, Resulting Numbers: [7, 56]
Generated Node #3: [7, 56] from Operation: 73-17=56
Current State: 49:[7, 56], Operations: ['35/5=7', '73-17=56']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
Current State: 49:[35, 73, 17, 5], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [73, 17, 7]
Generated Node #0,0: 49:[73, 17, 7] Operation: 35/5=7
Exploring Operation: 73-17=56, Resulting Numbers: [35, 5, 56]
Generated Node #0,1: 49:[35, 5, 56] Operation: 73-17=56
Exploring Operation: 35-17=18, Resulting Numbers: [73, 5, 18]
Generated Node #0,2: 49:[73, 5, 18] Operation: 35-17=18
Exploring Operation: 35+17=52, Resulting Numbers: [73, 5, 52]
Generated Node #0,3: 49:[73, 5, 52] Operation: 35+17=52
Exploring Operation: 73-35=38, Resulting Numbers: [17, 5, 38]
Generated Node #0,4: 49:[17, 5, 38] Operation: 73-35=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[35, 5, 56], Operations: ['73-17=56']
Exploring Operation: 35/5=7, Resulting Numbers: [56, 7]
Generated Node #0,1,0: 49:[56, 7] Operation: 35/5=7
Exploring Operation: 35+5=40, Resulting Numbers: [56, 40]
Generated Node #0,1,1: 49:[56, 40] Operation: 35+5=40
Exploring Operation: 56-5=51, Resulting Numbers: [35, 51]
Generated Node #0,1,2: 49:[35, 51] Operation: 56-5=51
Exploring Operation: 56-35=21, Resulting Numbers: [5, 21]
Generated Node #0,1,3: 49:[5, 21] Operation: 56-35=21
Exploring Operation: 35-5=30, Resulting Numbers: [56, 30]
Generated Node #0,1,4: 49:[56, 30] Operation: 35-5=30
Moving to Node #0,1,0
Current State: 49:[56, 7], Operations: ['73-17=56', '35/5=7']
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,49 unequal: No Solution
Exploring Operation: 56+7=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 56*7=392, Resulting Numbers: [392]
392,49 unequal: No Solution
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[35, 73, 17, 5], Operations: []
Exploring Operation: 73-17=56, Resulting Numbers: [35, 5, 56]
Generated Node #0,1: 49:[35, 5, 56] Operation: 73-17=56
Moving to Node #0,1
Current State: 49:[35, 5, 56], Operations: ['73-17=56']
Exploring Operation: 35/5=7, Resulting Numbers: [56, 7]
Generated Node #0,1,0: 49:[56, 7] Operation: 35/5=7
Moving to Node #0,1,0
Current State: 49:[56, 7], Operations: ['73-17=56', '35/5=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_5
|
mult_heuristic
|
[
89,
21,
25,
4
] | 42 |
[
"89-21=68",
"68/4=17",
"25+17=42"
] |
Current State: 42:[89, 21, 25, 4], Operations: []
Exploring Operation: 89-21=68, Resulting Numbers: [25, 4, 68]
Generated Node #2: [25, 4, 68] from Operation: 89-21=68
Current State: 42:[25, 4, 68], Operations: ['89-21=68']
Exploring Operation: 68/4=17, Resulting Numbers: [25, 17]
Generated Node #3: [25, 17] from Operation: 68/4=17
Current State: 42:[25, 17], Operations: ['89-21=68', '68/4=17']
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
Current State: 42:[89, 21, 25, 4], Operations: []
Exploring Operation: 89-4=85, Resulting Numbers: [21, 25, 85]
Generated Node #0,0: 42:[21, 25, 85] Operation: 89-4=85
Exploring Operation: 89-21=68, Resulting Numbers: [25, 4, 68]
Generated Node #0,1: 42:[25, 4, 68] Operation: 89-21=68
Exploring Operation: 25-4=21, Resulting Numbers: [89, 21, 21]
Generated Node #0,2: 42:[89, 21, 21] Operation: 25-4=21
Exploring Operation: 89-25=64, Resulting Numbers: [21, 4, 64]
Generated Node #0,3: 42:[21, 4, 64] Operation: 89-25=64
Start Sub Search at level 1: Moving to Node #0,3
Current State: 42:[21, 4, 64], Operations: ['89-25=64']
Exploring Operation: 64-21=43, Resulting Numbers: [4, 43]
Generated Node #0,3,0: 42:[4, 43] Operation: 64-21=43
Exploring Operation: 64-4=60, Resulting Numbers: [21, 60]
Generated Node #0,3,1: 42:[21, 60] Operation: 64-4=60
Exploring Operation: 64/4=16, Resulting Numbers: [21, 16]
Generated Node #0,3,2: 42:[21, 16] Operation: 64/4=16
Exploring Operation: 21-4=17, Resulting Numbers: [64, 17]
Generated Node #0,3,3: 42:[64, 17] Operation: 21-4=17
Moving to Node #0,3,0
Current State: 42:[4, 43], Operations: ['89-25=64', '64-21=43']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,42 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,42 unequal: No Solution
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,42 unequal: No Solution
Moving to Node #0,3,2
Current State: 42:[21, 16], Operations: ['89-25=64', '64/4=16']
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,42 unequal: No Solution
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,42 unequal: No Solution
Moving to Node #0,3,1
Current State: 42:[21, 60], Operations: ['89-25=64', '64-4=60']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,42 unequal: No Solution
Exploring Operation: 21*60=1260, Resulting Numbers: [1260]
1260,42 unequal: No Solution
Exploring Operation: 21+60=81, Resulting Numbers: [81]
81,42 unequal: No Solution
Moving to Node #0,3,3
Current State: 42:[64, 17], Operations: ['89-25=64', '21-4=17']
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,42 unequal: No Solution
Exploring Operation: 64*17=1088, Resulting Numbers: [1088]
1088,42 unequal: No Solution
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[25, 4, 68], Operations: ['89-21=68']
Exploring Operation: 68-25=43, Resulting Numbers: [4, 43]
Generated Node #0,1,0: 42:[4, 43] Operation: 68-25=43
Exploring Operation: 25-4=21, Resulting Numbers: [68, 21]
Generated Node #0,1,1: 42:[68, 21] Operation: 25-4=21
Exploring Operation: 68/4=17, Resulting Numbers: [25, 17]
Generated Node #0,1,2: 42:[25, 17] Operation: 68/4=17
Exploring Operation: 68-4=64, Resulting Numbers: [25, 64]
Generated Node #0,1,3: 42:[25, 64] Operation: 68-4=64
Moving to Node #0,1,0
Current State: 42:[4, 43], Operations: ['89-21=68', '68-25=43']
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,42 unequal: No Solution
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,42 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,42 unequal: No Solution
Moving to Node #0,1,2
Current State: 42:[25, 17], Operations: ['89-21=68', '68/4=17']
Exploring Operation: 25*17=425, Resulting Numbers: [425]
425,42 unequal: No Solution
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[89, 21, 25, 4], Operations: []
Exploring Operation: 89-21=68, Resulting Numbers: [25, 4, 68]
Generated Node #0,1: 42:[25, 4, 68] Operation: 89-21=68
Moving to Node #0,1
Current State: 42:[25, 4, 68], Operations: ['89-21=68']
Exploring Operation: 68/4=17, Resulting Numbers: [25, 17]
Generated Node #0,1,2: 42:[25, 17] Operation: 68/4=17
Moving to Node #0,1,2
Current State: 42:[25, 17], Operations: ['89-21=68', '68/4=17']
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 |
hs_4
|
mult_heuristic
|
[
53,
69,
33,
64
] | 72 |
[
"64-53=11",
"33/11=3",
"69+3=72"
] |
Current State: 72:[53, 69, 33, 64], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [69, 33, 11]
Generated Node #2: [69, 33, 11] from Operation: 64-53=11
Current State: 72:[69, 33, 11], Operations: ['64-53=11']
Exploring Operation: 33/11=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 33/11=3
Current State: 72:[69, 3], Operations: ['64-53=11', '33/11=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[53, 69, 33, 64], Operations: []
Exploring Operation: 53-33=20, Resulting Numbers: [69, 64, 20]
Generated Node #0,0: 72:[69, 64, 20] Operation: 53-33=20
Exploring Operation: 69-64=5, Resulting Numbers: [53, 33, 5]
Generated Node #0,1: 72:[53, 33, 5] Operation: 69-64=5
Exploring Operation: 64-53=11, Resulting Numbers: [69, 33, 11]
Generated Node #0,2: 72:[69, 33, 11] Operation: 64-53=11
Exploring Operation: 69-53=16, Resulting Numbers: [33, 64, 16]
Generated Node #0,3: 72:[33, 64, 16] Operation: 69-53=16
Moving to Node #0,2
Current State: 72:[69, 33, 11], Operations: ['64-53=11']
Exploring Operation: 33-11=22, Resulting Numbers: [69, 22]
Generated Node #0,2,0: 72:[69, 22] Operation: 33-11=22
Exploring Operation: 33/11=3, Resulting Numbers: [69, 3]
Generated Node #0,2,1: 72:[69, 3] Operation: 33/11=3
Exploring Operation: 69-33=36, Resulting Numbers: [11, 36]
Generated Node #0,2,2: 72:[11, 36] Operation: 69-33=36
Exploring Operation: 69+11=80, Resulting Numbers: [33, 80]
Generated Node #0,2,3: 72:[33, 80] Operation: 69+11=80
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[11, 36], Operations: ['64-53=11', '69-33=36']
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,72 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[69, 3], Operations: ['64-53=11', '33/11=3']
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,72 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,72 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[53, 69, 33, 64], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [69, 33, 11]
Generated Node #0,2: 72:[69, 33, 11] Operation: 64-53=11
Moving to Node #0,2
Current State: 72:[69, 33, 11], Operations: ['64-53=11']
Exploring Operation: 33/11=3, Resulting Numbers: [69, 3]
Generated Node #0,2,1: 72:[69, 3] Operation: 33/11=3
Moving to Node #0,2,1
Current State: 72:[69, 3], Operations: ['64-53=11', '33/11=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 |
hs_4
|
mult_heuristic
|
[
28,
34,
30,
57
] | 35 |
[
"28+34=62",
"57-30=27",
"62-27=35"
] |
Current State: 35:[28, 34, 30, 57], Operations: []
Exploring Operation: 28+34=62, Resulting Numbers: [30, 57, 62]
Generated Node #2: [30, 57, 62] from Operation: 28+34=62
Current State: 35:[30, 57, 62], Operations: ['28+34=62']
Exploring Operation: 57-30=27, Resulting Numbers: [62, 27]
Generated Node #3: [62, 27] from Operation: 57-30=27
Current State: 35:[62, 27], Operations: ['28+34=62', '57-30=27']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[28, 34, 30, 57], Operations: []
Exploring Operation: 57-28=29, Resulting Numbers: [34, 30, 29]
Generated Node #0,0: 35:[34, 30, 29] Operation: 57-28=29
Exploring Operation: 57-30=27, Resulting Numbers: [28, 34, 27]
Generated Node #0,1: 35:[28, 34, 27] Operation: 57-30=27
Exploring Operation: 57-34=23, Resulting Numbers: [28, 30, 23]
Generated Node #0,2: 35:[28, 30, 23] Operation: 57-34=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[34, 30, 29], Operations: ['57-28=29']
Exploring Operation: 34-30=4, Resulting Numbers: [29, 4]
Generated Node #0,0,0: 35:[29, 4] Operation: 34-30=4
Exploring Operation: 30-29=1, Resulting Numbers: [34, 1]
Generated Node #0,0,1: 35:[34, 1] Operation: 30-29=1
Exploring Operation: 34-29=5, Resulting Numbers: [30, 5]
Generated Node #0,0,2: 35:[30, 5] Operation: 34-29=5
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[34, 1], Operations: ['57-28=29', '30-29=1']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[28, 34, 30, 57], Operations: []
Exploring Operation: 57-28=29, Resulting Numbers: [34, 30, 29]
Generated Node #0,0: 35:[34, 30, 29] Operation: 57-28=29
Moving to Node #0,0
Current State: 35:[34, 30, 29], Operations: ['57-28=29']
Exploring Operation: 30-29=1, Resulting Numbers: [34, 1]
Generated Node #0,0,1: 35:[34, 1] Operation: 30-29=1
Moving to Node #0,0,1
Current State: 35:[34, 1], Operations: ['57-28=29', '30-29=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 |
hs_3
|
sum_heuristic
|
[
98,
53,
35,
64
] | 53 |
[
"98-35=63",
"64-63=1",
"53*1=53"
] |
Current State: 53:[98, 53, 35, 64], Operations: []
Exploring Operation: 98-35=63, Resulting Numbers: [53, 64, 63]
Generated Node #2: [53, 64, 63] from Operation: 98-35=63
Current State: 53:[53, 64, 63], Operations: ['98-35=63']
Exploring Operation: 64-63=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 64-63=1
Current State: 53:[53, 1], Operations: ['98-35=63', '64-63=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
Current State: 53:[98, 53, 35, 64], Operations: []
Exploring Operation: 98-35=63, Resulting Numbers: [53, 64, 63]
Generated Node #0,0: 53:[53, 64, 63] Operation: 98-35=63
Exploring Operation: 98-64=34, Resulting Numbers: [53, 35, 34]
Generated Node #0,1: 53:[53, 35, 34] Operation: 98-64=34
Exploring Operation: 98-53=45, Resulting Numbers: [35, 64, 45]
Generated Node #0,2: 53:[35, 64, 45] Operation: 98-53=45
Exploring Operation: 64-35=29, Resulting Numbers: [98, 53, 29]
Generated Node #0,3: 53:[98, 53, 29] Operation: 64-35=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[53, 64, 63], Operations: ['98-35=63']
Exploring Operation: 53+64=117, Resulting Numbers: [63, 117]
Generated Node #0,0,0: 53:[63, 117] Operation: 53+64=117
Exploring Operation: 64-53=11, Resulting Numbers: [63, 11]
Generated Node #0,0,1: 53:[63, 11] Operation: 64-53=11
Exploring Operation: 63-53=10, Resulting Numbers: [64, 10]
Generated Node #0,0,2: 53:[64, 10] Operation: 63-53=10
Exploring Operation: 64-63=1, Resulting Numbers: [53, 1]
Generated Node #0,0,3: 53:[53, 1] Operation: 64-63=1
Moving to Node #0,0,1
Current State: 53:[63, 11], Operations: ['98-35=63', '64-53=11']
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Exploring Operation: 63*11=693, Resulting Numbers: [693]
693,53 unequal: No Solution
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,53 unequal: No Solution
Moving to Node #0,0,3
Current State: 53:[53, 1], Operations: ['98-35=63', '64-63=1']
Exploring Operation: 53+1=54, Resulting Numbers: [54]
54,53 unequal: No Solution
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[98, 53, 35, 64], Operations: []
Exploring Operation: 98-35=63, Resulting Numbers: [53, 64, 63]
Generated Node #0,0: 53:[53, 64, 63] Operation: 98-35=63
Moving to Node #0,0
Current State: 53:[53, 64, 63], Operations: ['98-35=63']
Exploring Operation: 64-63=1, Resulting Numbers: [53, 1]
Generated Node #0,0,3: 53:[53, 1] Operation: 64-63=1
Moving to Node #0,0,3
Current State: 53:[53, 1], Operations: ['98-35=63', '64-63=1']
Exploring Operation: 53/1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_4
|
sum_heuristic
|
[
21,
2,
96,
98
] | 22 |
[
"2+96=98",
"98/98=1",
"21+1=22"
] |
Current State: 22:[21, 2, 96, 98], Operations: []
Exploring Operation: 2+96=98, Resulting Numbers: [21, 98, 98]
Generated Node #2: [21, 98, 98] from Operation: 2+96=98
Current State: 22:[21, 98, 98], Operations: ['2+96=98']
Exploring Operation: 98/98=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 98/98=1
Current State: 22:[21, 1], Operations: ['2+96=98', '98/98=1']
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[21, 2, 96, 98], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [21, 2, 2]
Generated Node #0,0: 22:[21, 2, 2] Operation: 98-96=2
Moving to Node #0,0
Current State: 22:[21, 2, 2], Operations: ['98-96=2']
Exploring Operation: 21+2=23, Resulting Numbers: [2, 23]
Generated Node #0,0,0: 22:[2, 23] Operation: 21+2=23
Moving to Node #0,0,0
Current State: 22:[2, 23], Operations: ['98-96=2', '21+2=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,22 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
5,
68,
97,
60
] | 45 |
[
"68+97=165",
"60+165=225",
"225/5=45"
] |
Current State: 45:[5, 68, 97, 60], Operations: []
Exploring Operation: 68+97=165, Resulting Numbers: [5, 60, 165]
Generated Node #2: [5, 60, 165] from Operation: 68+97=165
Current State: 45:[5, 60, 165], Operations: ['68+97=165']
Exploring Operation: 60+165=225, Resulting Numbers: [5, 225]
Generated Node #3: [5, 225] from Operation: 60+165=225
Current State: 45:[5, 225], Operations: ['68+97=165', '60+165=225']
Exploring Operation: 225/5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
Current State: 45:[5, 68, 97, 60], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [5, 60, 29]
Generated Node #0,0: 45:[5, 60, 29] Operation: 97-68=29
Exploring Operation: 97-60=37, Resulting Numbers: [5, 68, 37]
Generated Node #0,1: 45:[5, 68, 37] Operation: 97-60=37
Moving to Node #0,0
Current State: 45:[5, 60, 29], Operations: ['97-68=29']
Exploring Operation: 60/5=12, Resulting Numbers: [29, 12]
Generated Node #0,0,0: 45:[29, 12] Operation: 60/5=12
Exploring Operation: 60-29=31, Resulting Numbers: [5, 31]
Generated Node #0,0,1: 45:[5, 31] Operation: 60-29=31
Moving to Node #0,1
Current State: 45:[5, 68, 37], Operations: ['97-60=37']
Exploring Operation: 68-37=31, Resulting Numbers: [5, 31]
Generated Node #0,1,0: 45:[5, 31] Operation: 68-37=31
Exploring Operation: 68-5=63, Resulting Numbers: [37, 63]
Generated Node #0,1,1: 45:[37, 63] Operation: 68-5=63
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 45:[5, 31], Operations: ['97-60=37', '68-37=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,45 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[37, 63], Operations: ['97-60=37', '68-5=63']
Exploring Operation: 37+63=100, Resulting Numbers: [100]
100,45 unequal: No Solution
Exploring Operation: 63-37=26, Resulting Numbers: [26]
26,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 45:[5, 31], Operations: ['97-68=29', '60-29=31']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[29, 12], Operations: ['97-68=29', '60/5=12']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,45 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
72,
79,
83,
20
] | 23 |
[
"72+20=92",
"83-79=4",
"92/4=23"
] |
Current State: 23:[72, 79, 83, 20], Operations: []
Exploring Operation: 72+20=92, Resulting Numbers: [79, 83, 92]
Generated Node #2: [79, 83, 92] from Operation: 72+20=92
Current State: 23:[79, 83, 92], Operations: ['72+20=92']
Exploring Operation: 83-79=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 83-79=4
Current State: 23:[92, 4], Operations: ['72+20=92', '83-79=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
Current State: 23:[72, 79, 83, 20], Operations: []
Exploring Operation: 83-72=11, Resulting Numbers: [79, 20, 11]
Generated Node #0,0: 23:[79, 20, 11] Operation: 83-72=11
Moving to Node #0,0
Current State: 23:[79, 20, 11], Operations: ['83-72=11']
Exploring Operation: 79-20=59, Resulting Numbers: [11, 59]
Generated Node #0,0,0: 23:[11, 59] Operation: 79-20=59
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[11, 59], Operations: ['83-72=11', '79-20=59']
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
57,
19,
38,
58
] | 56 |
[
"57+19=76",
"58-38=20",
"76-20=56"
] |
Current State: 56:[57, 19, 38, 58], Operations: []
Exploring Operation: 57+19=76, Resulting Numbers: [38, 58, 76]
Generated Node #2: [38, 58, 76] from Operation: 57+19=76
Current State: 56:[38, 58, 76], Operations: ['57+19=76']
Exploring Operation: 58-38=20, Resulting Numbers: [76, 20]
Generated Node #3: [76, 20] from Operation: 58-38=20
Current State: 56:[76, 20], Operations: ['57+19=76', '58-38=20']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
Current State: 56:[57, 19, 38, 58], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [57, 58, 2]
Generated Node #0,0: 56:[57, 58, 2] Operation: 38/19=2
Moving to Node #0,0
Current State: 56:[57, 58, 2], Operations: ['38/19=2']
Exploring Operation: 58-57=1, Resulting Numbers: [2, 1]
Generated Node #0,0,0: 56:[2, 1] Operation: 58-57=1
Moving to Node #0,0,0
Current State: 56:[2, 1], Operations: ['38/19=2', '58-57=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,56 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
61,
52,
14,
37
] | 62 |
[
"61+52=113",
"14+37=51",
"113-51=62"
] |
Current State: 62:[61, 52, 14, 37], Operations: []
Exploring Operation: 61+52=113, Resulting Numbers: [14, 37, 113]
Generated Node #2: [14, 37, 113] from Operation: 61+52=113
Current State: 62:[14, 37, 113], Operations: ['61+52=113']
Exploring Operation: 14+37=51, Resulting Numbers: [113, 51]
Generated Node #3: [113, 51] from Operation: 14+37=51
Current State: 62:[113, 51], Operations: ['61+52=113', '14+37=51']
Exploring Operation: 113-51=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
Current State: 62:[61, 52, 14, 37], Operations: []
Exploring Operation: 52-14=38, Resulting Numbers: [61, 37, 38]
Generated Node #0,0: 62:[61, 37, 38] Operation: 52-14=38
Exploring Operation: 37-14=23, Resulting Numbers: [61, 52, 23]
Generated Node #0,1: 62:[61, 52, 23] Operation: 37-14=23
Exploring Operation: 14+37=51, Resulting Numbers: [61, 52, 51]
Generated Node #0,2: 62:[61, 52, 51] Operation: 14+37=51
Exploring Operation: 52+14=66, Resulting Numbers: [61, 37, 66]
Generated Node #0,3: 62:[61, 37, 66] Operation: 52+14=66
Moving to Node #0,3
Current State: 62:[61, 37, 66], Operations: ['52+14=66']
Exploring Operation: 61-37=24, Resulting Numbers: [66, 24]
Generated Node #0,3,0: 62:[66, 24] Operation: 61-37=24
Exploring Operation: 66-37=29, Resulting Numbers: [61, 29]
Generated Node #0,3,1: 62:[61, 29] Operation: 66-37=29
Exploring Operation: 66-61=5, Resulting Numbers: [37, 5]
Generated Node #0,3,2: 62:[37, 5] Operation: 66-61=5
Exploring Operation: 61+37=98, Resulting Numbers: [66, 98]
Generated Node #0,3,3: 62:[66, 98] Operation: 61+37=98
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 62:[61, 29], Operations: ['52+14=66', '66-37=29']
Exploring Operation: 61*29=1769, Resulting Numbers: [1769]
1769,62 unequal: No Solution
Exploring Operation: 61+29=90, Resulting Numbers: [90]
90,62 unequal: No Solution
Exploring Operation: 61-29=32, Resulting Numbers: [32]
32,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 62:[37, 5], Operations: ['52+14=66', '66-61=5']
Exploring Operation: 37*5=185, Resulting Numbers: [185]
185,62 unequal: No Solution
Exploring Operation: 37+5=42, Resulting Numbers: [42]
42,62 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 62:[66, 24], Operations: ['52+14=66', '61-37=24']
Exploring Operation: 66*24=1584, Resulting Numbers: [1584]
1584,62 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,62 unequal: No Solution
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 62:[66, 98], Operations: ['52+14=66', '61+37=98']
Exploring Operation: 66+98=164, Resulting Numbers: [164]
164,62 unequal: No Solution
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 66*98=6468, Resulting Numbers: [6468]
6468,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 62:[61, 37, 38], Operations: ['52-14=38']
Exploring Operation: 38-37=1, Resulting Numbers: [61, 1]
Generated Node #0,0,0: 62:[61, 1] Operation: 38-37=1
Exploring Operation: 61-38=23, Resulting Numbers: [37, 23]
Generated Node #0,0,1: 62:[37, 23] Operation: 61-38=23
Exploring Operation: 61-37=24, Resulting Numbers: [38, 24]
Generated Node #0,0,2: 62:[38, 24] Operation: 61-37=24
Exploring Operation: 37+38=75, Resulting Numbers: [61, 75]
Generated Node #0,0,3: 62:[61, 75] Operation: 37+38=75
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[61, 1], Operations: ['52-14=38', '38-37=1']
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,62 unequal: No Solution
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,62 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[61, 52, 14, 37], Operations: []
Exploring Operation: 52-14=38, Resulting Numbers: [61, 37, 38]
Generated Node #0,0: 62:[61, 37, 38] Operation: 52-14=38
Moving to Node #0,0
Current State: 62:[61, 37, 38], Operations: ['52-14=38']
Exploring Operation: 38-37=1, Resulting Numbers: [61, 1]
Generated Node #0,0,0: 62:[61, 1] Operation: 38-37=1
Moving to Node #0,0,0
Current State: 62:[61, 1], Operations: ['52-14=38', '38-37=1']
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 |
hs_4
|
sum_heuristic
|
[
29,
82,
13,
30
] | 95 |
[
"30-29=1",
"82+13=95",
"1*95=95"
] |
Current State: 95:[29, 82, 13, 30], Operations: []
Exploring Operation: 30-29=1, Resulting Numbers: [82, 13, 1]
Generated Node #2: [82, 13, 1] from Operation: 30-29=1
Current State: 95:[82, 13, 1], Operations: ['30-29=1']
Exploring Operation: 82+13=95, Resulting Numbers: [1, 95]
Generated Node #3: [1, 95] from Operation: 82+13=95
Current State: 95:[1, 95], Operations: ['30-29=1', '82+13=95']
Exploring Operation: 1*95=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[29, 82, 13, 30], Operations: []
Exploring Operation: 30-13=17, Resulting Numbers: [29, 82, 17]
Generated Node #0,0: 95:[29, 82, 17] Operation: 30-13=17
Exploring Operation: 82+13=95, Resulting Numbers: [29, 30, 95]
Generated Node #0,1: 95:[29, 30, 95] Operation: 82+13=95
Exploring Operation: 30-29=1, Resulting Numbers: [82, 13, 1]
Generated Node #0,2: 95:[82, 13, 1] Operation: 30-29=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[29, 30, 95], Operations: ['82+13=95']
Exploring Operation: 29+95=124, Resulting Numbers: [30, 124]
Generated Node #0,1,0: 95:[30, 124] Operation: 29+95=124
Exploring Operation: 29+30=59, Resulting Numbers: [95, 59]
Generated Node #0,1,1: 95:[95, 59] Operation: 29+30=59
Exploring Operation: 30-29=1, Resulting Numbers: [95, 1]
Generated Node #0,1,2: 95:[95, 1] Operation: 30-29=1
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 95:[95, 1], Operations: ['82+13=95', '30-29=1']
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[29, 82, 13, 30], Operations: []
Exploring Operation: 82+13=95, Resulting Numbers: [29, 30, 95]
Generated Node #0,1: 95:[29, 30, 95] Operation: 82+13=95
Moving to Node #0,1
Current State: 95:[29, 30, 95], Operations: ['82+13=95']
Exploring Operation: 30-29=1, Resulting Numbers: [95, 1]
Generated Node #0,1,2: 95:[95, 1] Operation: 30-29=1
Moving to Node #0,1,2
Current State: 95:[95, 1], Operations: ['82+13=95', '30-29=1']
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 |
hs_3
|
sum_heuristic
|
[
40,
64,
72,
51
] | 46 |
[
"72-64=8",
"40/8=5",
"51-5=46"
] |
Current State: 46:[40, 64, 72, 51], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [40, 51, 8]
Generated Node #2: [40, 51, 8] from Operation: 72-64=8
Current State: 46:[40, 51, 8], Operations: ['72-64=8']
Exploring Operation: 40/8=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 40/8=5
Current State: 46:[51, 5], Operations: ['72-64=8', '40/8=5']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[40, 64, 72, 51], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [40, 51, 8]
Generated Node #0,0: 46:[40, 51, 8] Operation: 72-64=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[40, 51, 8], Operations: ['72-64=8']
Exploring Operation: 40+8=48, Resulting Numbers: [51, 48]
Generated Node #0,0,0: 46:[51, 48] Operation: 40+8=48
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[51, 48], Operations: ['72-64=8', '40+8=48']
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
45,
92,
41,
86
] | 24 |
[
"45-41=4",
"92-86=6",
"4*6=24"
] |
Current State: 24:[45, 92, 41, 86], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [92, 86, 4]
Generated Node #2: [92, 86, 4] from Operation: 45-41=4
Current State: 24:[92, 86, 4], Operations: ['45-41=4']
Exploring Operation: 92-86=6, Resulting Numbers: [4, 6]
Generated Node #3: [4, 6] from Operation: 92-86=6
Current State: 24:[4, 6], Operations: ['45-41=4', '92-86=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
Current State: 24:[45, 92, 41, 86], Operations: []
Exploring Operation: 92-41=51, Resulting Numbers: [45, 86, 51]
Generated Node #0,0: 24:[45, 86, 51] Operation: 92-41=51
Exploring Operation: 86-45=41, Resulting Numbers: [92, 41, 41]
Generated Node #0,1: 24:[92, 41, 41] Operation: 86-45=41
Exploring Operation: 92-45=47, Resulting Numbers: [41, 86, 47]
Generated Node #0,2: 24:[41, 86, 47] Operation: 92-45=47
Exploring Operation: 92-86=6, Resulting Numbers: [45, 41, 6]
Generated Node #0,3: 24:[45, 41, 6] Operation: 92-86=6
Start Sub Search at level 1: Moving to Node #0,3
Current State: 24:[45, 41, 6], Operations: ['92-86=6']
Exploring Operation: 45+6=51, Resulting Numbers: [41, 51]
Generated Node #0,3,0: 24:[41, 51] Operation: 45+6=51
Exploring Operation: 45-41=4, Resulting Numbers: [6, 4]
Generated Node #0,3,1: 24:[6, 4] Operation: 45-41=4
Exploring Operation: 41-6=35, Resulting Numbers: [45, 35]
Generated Node #0,3,2: 24:[45, 35] Operation: 41-6=35
Exploring Operation: 45-6=39, Resulting Numbers: [41, 39]
Generated Node #0,3,3: 24:[41, 39] Operation: 45-6=39
Moving to Node #0,3,1
Current State: 24:[6, 4], Operations: ['92-86=6', '45-41=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[45, 92, 41, 86], Operations: []
Exploring Operation: 92-86=6, Resulting Numbers: [45, 41, 6]
Generated Node #0,3: 24:[45, 41, 6] Operation: 92-86=6
Moving to Node #0,3
Current State: 24:[45, 41, 6], Operations: ['92-86=6']
Exploring Operation: 45-41=4, Resulting Numbers: [6, 4]
Generated Node #0,3,1: 24:[6, 4] Operation: 45-41=4
Moving to Node #0,3,1
Current State: 24:[6, 4], Operations: ['92-86=6', '45-41=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_4
|
mult_heuristic
|
[
21,
6,
17,
12
] | 37 |
[
"21-12=9",
"6*9=54",
"54-17=37"
] |
Current State: 37:[21, 6, 17, 12], Operations: []
Exploring Operation: 21-12=9, Resulting Numbers: [6, 17, 9]
Generated Node #2: [6, 17, 9] from Operation: 21-12=9
Current State: 37:[6, 17, 9], Operations: ['21-12=9']
Exploring Operation: 6*9=54, Resulting Numbers: [17, 54]
Generated Node #3: [17, 54] from Operation: 6*9=54
Current State: 37:[17, 54], Operations: ['21-12=9', '6*9=54']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[21, 6, 17, 12], Operations: []
Exploring Operation: 21+6=27, Resulting Numbers: [17, 12, 27]
Generated Node #0,0: 37:[17, 12, 27] Operation: 21+6=27
Exploring Operation: 21+12=33, Resulting Numbers: [6, 17, 33]
Generated Node #0,1: 37:[6, 17, 33] Operation: 21+12=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[17, 12, 27], Operations: ['21+6=27']
Exploring Operation: 17+12=29, Resulting Numbers: [27, 29]
Generated Node #0,0,0: 37:[27, 29] Operation: 17+12=29
Exploring Operation: 12+27=39, Resulting Numbers: [17, 39]
Generated Node #0,0,1: 37:[17, 39] Operation: 12+27=39
Moving to Node #0,0,0
Current State: 37:[27, 29], Operations: ['21+6=27', '17+12=29']
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 27+29=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[17, 39], Operations: ['21+6=27', '12+27=39']
Exploring Operation: 17+39=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[6, 17, 33], Operations: ['21+12=33']
Exploring Operation: 6+17=23, Resulting Numbers: [33, 23]
Generated Node #0,1,0: 37:[33, 23] Operation: 6+17=23
Exploring Operation: 6+33=39, Resulting Numbers: [17, 39]
Generated Node #0,1,1: 37:[17, 39] Operation: 6+33=39
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[33, 23], Operations: ['21+12=33', '6+17=23']
Exploring Operation: 33+23=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[17, 39], Operations: ['21+12=33', '6+33=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,37 unequal: No Solution
Exploring Operation: 17+39=56, Resulting Numbers: [56]
56,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
40,
12,
44,
73
] | 23 |
[
"40+12=52",
"73-44=29",
"52-29=23"
] |
Current State: 23:[40, 12, 44, 73], Operations: []
Exploring Operation: 40+12=52, Resulting Numbers: [44, 73, 52]
Generated Node #2: [44, 73, 52] from Operation: 40+12=52
Current State: 23:[44, 73, 52], Operations: ['40+12=52']
Exploring Operation: 73-44=29, Resulting Numbers: [52, 29]
Generated Node #3: [52, 29] from Operation: 73-44=29
Current State: 23:[52, 29], Operations: ['40+12=52', '73-44=29']
Exploring Operation: 52-29=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
Current State: 23:[40, 12, 44, 73], Operations: []
Exploring Operation: 40-12=28, Resulting Numbers: [44, 73, 28]
Generated Node #0,0: 23:[44, 73, 28] Operation: 40-12=28
Exploring Operation: 73-12=61, Resulting Numbers: [40, 44, 61]
Generated Node #0,1: 23:[40, 44, 61] Operation: 73-12=61
Exploring Operation: 73-44=29, Resulting Numbers: [40, 12, 29]
Generated Node #0,2: 23:[40, 12, 29] Operation: 73-44=29
Exploring Operation: 73-40=33, Resulting Numbers: [12, 44, 33]
Generated Node #0,3: 23:[12, 44, 33] Operation: 73-40=33
Exploring Operation: 44-12=32, Resulting Numbers: [40, 73, 32]
Generated Node #0,4: 23:[40, 73, 32] Operation: 44-12=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[40, 12, 29], Operations: ['73-44=29']
Exploring Operation: 29-12=17, Resulting Numbers: [40, 17]
Generated Node #0,2,0: 23:[40, 17] Operation: 29-12=17
Exploring Operation: 40+12=52, Resulting Numbers: [29, 52]
Generated Node #0,2,1: 23:[29, 52] Operation: 40+12=52
Exploring Operation: 12+29=41, Resulting Numbers: [40, 41]
Generated Node #0,2,2: 23:[40, 41] Operation: 12+29=41
Exploring Operation: 40-12=28, Resulting Numbers: [29, 28]
Generated Node #0,2,3: 23:[29, 28] Operation: 40-12=28
Exploring Operation: 40-29=11, Resulting Numbers: [12, 11]
Generated Node #0,2,4: 23:[12, 11] Operation: 40-29=11
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 23:[29, 28], Operations: ['73-44=29', '40-12=28']
Exploring Operation: 29*28=812, Resulting Numbers: [812]
812,23 unequal: No Solution
Exploring Operation: 29+28=57, Resulting Numbers: [57]
57,23 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 23:[40, 17], Operations: ['73-44=29', '29-12=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[40, 12, 44, 73], Operations: []
Exploring Operation: 73-44=29, Resulting Numbers: [40, 12, 29]
Generated Node #0,2: 23:[40, 12, 29] Operation: 73-44=29
Moving to Node #0,2
Current State: 23:[40, 12, 29], Operations: ['73-44=29']
Exploring Operation: 29-12=17, Resulting Numbers: [40, 17]
Generated Node #0,2,0: 23:[40, 17] Operation: 29-12=17
Moving to Node #0,2,0
Current State: 23:[40, 17], Operations: ['73-44=29', '29-12=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 |
hs_5
|
mult_heuristic
|
[
77,
69,
94,
27
] | 19 |
[
"69*27=1863",
"1863-77=1786",
"1786/94=19"
] |
Current State: 19:[77, 69, 94, 27], Operations: []
Exploring Operation: 69*27=1863, Resulting Numbers: [77, 94, 1863]
Generated Node #2: [77, 94, 1863] from Operation: 69*27=1863
Current State: 19:[77, 94, 1863], Operations: ['69*27=1863']
Exploring Operation: 1863-77=1786, Resulting Numbers: [94, 1786]
Generated Node #3: [94, 1786] from Operation: 1863-77=1786
Current State: 19:[94, 1786], Operations: ['69*27=1863', '1863-77=1786']
Exploring Operation: 1786/94=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[77, 69, 94, 27], Operations: []
Exploring Operation: 77-69=8, Resulting Numbers: [94, 27, 8]
Generated Node #0,0: 19:[94, 27, 8] Operation: 77-69=8
Exploring Operation: 94-77=17, Resulting Numbers: [69, 27, 17]
Generated Node #0,1: 19:[69, 27, 17] Operation: 94-77=17
Exploring Operation: 94-69=25, Resulting Numbers: [77, 27, 25]
Generated Node #0,2: 19:[77, 27, 25] Operation: 94-69=25
Exploring Operation: 77-27=50, Resulting Numbers: [69, 94, 50]
Generated Node #0,3: 19:[69, 94, 50] Operation: 77-27=50
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[69, 27, 17], Operations: ['94-77=17']
Exploring Operation: 69-27=42, Resulting Numbers: [17, 42]
Generated Node #0,1,0: 19:[17, 42] Operation: 69-27=42
Exploring Operation: 69+17=86, Resulting Numbers: [27, 86]
Generated Node #0,1,1: 19:[27, 86] Operation: 69+17=86
Exploring Operation: 69-17=52, Resulting Numbers: [27, 52]
Generated Node #0,1,2: 19:[27, 52] Operation: 69-17=52
Exploring Operation: 27-17=10, Resulting Numbers: [69, 10]
Generated Node #0,1,3: 19:[69, 10] Operation: 27-17=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[17, 42], Operations: ['94-77=17', '69-27=42']
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,19 unequal: No Solution
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 19:[27, 52], Operations: ['94-77=17', '69-17=52']
Exploring Operation: 27+52=79, Resulting Numbers: [79]
79,19 unequal: No Solution
Exploring Operation: 27*52=1404, Resulting Numbers: [1404]
1404,19 unequal: No Solution
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 19:[69, 10], Operations: ['94-77=17', '27-17=10']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,19 unequal: No Solution
Exploring Operation: 69*10=690, Resulting Numbers: [690]
690,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[27, 86], Operations: ['94-77=17', '69+17=86']
Exploring Operation: 27+86=113, Resulting Numbers: [113]
113,19 unequal: No Solution
Exploring Operation: 86-27=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 27*86=2322, Resulting Numbers: [2322]
2322,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[77, 27, 25], Operations: ['94-69=25']
Exploring Operation: 77-25=52, Resulting Numbers: [27, 52]
Generated Node #0,2,0: 19:[27, 52] Operation: 77-25=52
Exploring Operation: 27-25=2, Resulting Numbers: [77, 2]
Generated Node #0,2,1: 19:[77, 2] Operation: 27-25=2
Exploring Operation: 77-27=50, Resulting Numbers: [25, 50]
Generated Node #0,2,2: 19:[25, 50] Operation: 77-27=50
Exploring Operation: 77+27=104, Resulting Numbers: [25, 104]
Generated Node #0,2,3: 19:[25, 104] Operation: 77+27=104
Moving to Node #0,2,2
Current State: 19:[25, 50], Operations: ['94-69=25', '77-27=50']
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 25+50=75, Resulting Numbers: [75]
75,19 unequal: No Solution
Exploring Operation: 25*50=1250, Resulting Numbers: [1250]
1250,19 unequal: No Solution
Moving to Node #0,2,0
Current State: 19:[27, 52], Operations: ['94-69=25', '77-25=52']
Exploring Operation: 27*52=1404, Resulting Numbers: [1404]
1404,19 unequal: No Solution
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 27+52=79, Resulting Numbers: [79]
79,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[77, 2], Operations: ['94-69=25', '27-25=2']
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,19 unequal: No Solution
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,19 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,19 unequal: No Solution
Moving to Node #0,2,3
Current State: 19:[25, 104], Operations: ['94-69=25', '77+27=104']
Exploring Operation: 25*104=2600, Resulting Numbers: [2600]
2600,19 unequal: No Solution
Exploring Operation: 25+104=129, Resulting Numbers: [129]
129,19 unequal: No Solution
Exploring Operation: 104-25=79, Resulting Numbers: [79]
79,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[94, 27, 8], Operations: ['77-69=8']
Exploring Operation: 27-8=19, Resulting Numbers: [94, 19]
Generated Node #0,0,0: 19:[94, 19] Operation: 27-8=19
Exploring Operation: 94-8=86, Resulting Numbers: [27, 86]
Generated Node #0,0,1: 19:[27, 86] Operation: 94-8=86
Exploring Operation: 94+8=102, Resulting Numbers: [27, 102]
Generated Node #0,0,2: 19:[27, 102] Operation: 94+8=102
Exploring Operation: 94-27=67, Resulting Numbers: [8, 67]
Generated Node #0,0,3: 19:[8, 67] Operation: 94-27=67
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 19:[8, 67], Operations: ['77-69=8', '94-27=67']
Exploring Operation: 8*67=536, Resulting Numbers: [536]
536,19 unequal: No Solution
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 8+67=75, Resulting Numbers: [75]
75,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[94, 19], Operations: ['77-69=8', '27-8=19']
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,19 unequal: No Solution
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,19 unequal: No Solution
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[27, 86], Operations: ['77-69=8', '94-8=86']
Exploring Operation: 27+86=113, Resulting Numbers: [113]
113,19 unequal: No Solution
Exploring Operation: 27*86=2322, Resulting Numbers: [2322]
2322,19 unequal: No Solution
Exploring Operation: 86-27=59, Resulting Numbers: [59]
59,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 19:[27, 102], Operations: ['77-69=8', '94+8=102']
Exploring Operation: 102-27=75, Resulting Numbers: [75]
75,19 unequal: No Solution
Exploring Operation: 27*102=2754, Resulting Numbers: [2754]
2754,19 unequal: No Solution
Exploring Operation: 27+102=129, Resulting Numbers: [129]
129,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[69, 94, 50], Operations: ['77-27=50']
Exploring Operation: 94-69=25, Resulting Numbers: [50, 25]
Generated Node #0,3,0: 19:[50, 25] Operation: 94-69=25
Exploring Operation: 69-50=19, Resulting Numbers: [94, 19]
Generated Node #0,3,1: 19:[94, 19] Operation: 69-50=19
Exploring Operation: 69+94=163, Resulting Numbers: [50, 163]
Generated Node #0,3,2: 19:[50, 163] Operation: 69+94=163
Exploring Operation: 94-50=44, Resulting Numbers: [69, 44]
Generated Node #0,3,3: 19:[69, 44] Operation: 94-50=44
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 19:[50, 25], Operations: ['77-27=50', '94-69=25']
Exploring Operation: 50+25=75, Resulting Numbers: [75]
75,19 unequal: No Solution
Exploring Operation: 50*25=1250, Resulting Numbers: [1250]
1250,19 unequal: No Solution
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 19:[94, 19], Operations: ['77-27=50', '69-50=19']
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,19 unequal: No Solution
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,19 unequal: No Solution
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 19:[69, 44], Operations: ['77-27=50', '94-50=44']
Exploring Operation: 69+44=113, Resulting Numbers: [113]
113,19 unequal: No Solution
Exploring Operation: 69-44=25, Resulting Numbers: [25]
25,19 unequal: No Solution
Exploring Operation: 69*44=3036, Resulting Numbers: [3036]
3036,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 19:[50, 163], Operations: ['77-27=50', '69+94=163']
Exploring Operation: 163-50=113, Resulting Numbers: [113]
113,19 unequal: No Solution
Exploring Operation: 50*163=8150, Resulting Numbers: [8150]
8150,19 unequal: No Solution
Exploring Operation: 50+163=213, Resulting Numbers: [213]
213,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
45,
79,
47,
16
] | 47 |
[
"47-45=2",
"16*2=32",
"79-32=47"
] |
Current State: 47:[45, 79, 47, 16], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [79, 16, 2]
Generated Node #2: [79, 16, 2] from Operation: 47-45=2
Current State: 47:[79, 16, 2], Operations: ['47-45=2']
Exploring Operation: 16*2=32, Resulting Numbers: [79, 32]
Generated Node #3: [79, 32] from Operation: 16*2=32
Current State: 47:[79, 32], Operations: ['47-45=2', '16*2=32']
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
Current State: 47:[45, 79, 47, 16], Operations: []
Exploring Operation: 79-16=63, Resulting Numbers: [45, 47, 63]
Generated Node #0,0: 47:[45, 47, 63] Operation: 79-16=63
Moving to Node #0,0
Current State: 47:[45, 47, 63], Operations: ['79-16=63']
Exploring Operation: 63-45=18, Resulting Numbers: [47, 18]
Generated Node #0,0,0: 47:[47, 18] Operation: 63-45=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[47, 18], Operations: ['79-16=63', '63-45=18']
Exploring Operation: 47+18=65, Resulting Numbers: [65]
65,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
57,
75,
18,
60
] | 96 |
[
"75-57=18",
"18+60=78",
"18+78=96"
] |
Current State: 96:[57, 75, 18, 60], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [18, 60, 18]
Generated Node #2: [18, 60, 18] from Operation: 75-57=18
Current State: 96:[18, 60, 18], Operations: ['75-57=18']
Exploring Operation: 18+60=78, Resulting Numbers: [78]
78,96 equal: Goal Reached
Exploring Operation: 18+78=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
Current State: 96:[57, 75, 18, 60], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [75, 18, 3]
Generated Node #0,0: 96:[75, 18, 3] Operation: 60-57=3
Exploring Operation: 75-60=15, Resulting Numbers: [57, 18, 15]
Generated Node #0,1: 96:[57, 18, 15] Operation: 75-60=15
Exploring Operation: 75-57=18, Resulting Numbers: [18, 60, 18]
Generated Node #0,2: 96:[18, 60, 18] Operation: 75-57=18
Moving to Node #0,1
Current State: 96:[57, 18, 15], Operations: ['75-60=15']
Exploring Operation: 57-15=42, Resulting Numbers: [18, 42]
Generated Node #0,1,0: 96:[18, 42] Operation: 57-15=42
Exploring Operation: 57-18=39, Resulting Numbers: [15, 39]
Generated Node #0,1,1: 96:[15, 39] Operation: 57-18=39
Exploring Operation: 18-15=3, Resulting Numbers: [57, 3]
Generated Node #0,1,2: 96:[57, 3] Operation: 18-15=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[18, 42], Operations: ['75-60=15', '57-15=42']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 18+42=60, Resulting Numbers: [60]
60,96 unequal: No Solution
Exploring Operation: 18*42=756, Resulting Numbers: [756]
756,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[15, 39], Operations: ['75-60=15', '57-18=39']
Exploring Operation: 15+39=54, Resulting Numbers: [54]
54,96 unequal: No Solution
Exploring Operation: 15*39=585, Resulting Numbers: [585]
585,96 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 96:[57, 3], Operations: ['75-60=15', '18-15=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,96 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 96:[18, 60, 18], Operations: ['75-57=18']
Exploring Operation: 18/18=1, Resulting Numbers: [60, 1]
Generated Node #0,2,0: 96:[60, 1] Operation: 18/18=1
Exploring Operation: 60-18=42, Resulting Numbers: [18, 42]
Generated Node #0,2,1: 96:[18, 42] Operation: 60-18=42
Exploring Operation: 60-18=42, Resulting Numbers: [18, 42]
Generated Node #0,2,2: 96:[18, 42] Operation: 60-18=42
Moving to Node #0,0
Current State: 96:[75, 18, 3], Operations: ['60-57=3']
Exploring Operation: 75/3=25, Resulting Numbers: [18, 25]
Generated Node #0,0,0: 96:[18, 25] Operation: 75/3=25
Exploring Operation: 75+18=93, Resulting Numbers: [3, 93]
Generated Node #0,0,1: 96:[3, 93] Operation: 75+18=93
Exploring Operation: 75-18=57, Resulting Numbers: [3, 57]
Generated Node #0,0,2: 96:[3, 57] Operation: 75-18=57
Moving to Node #0,0,0
Current State: 96:[18, 25], Operations: ['60-57=3', '75/3=25']
Exploring Operation: 18*25=450, Resulting Numbers: [450]
450,96 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,96 unequal: No Solution
Exploring Operation: 18+25=43, Resulting Numbers: [43]
43,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[3, 93], Operations: ['60-57=3', '75+18=93']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,96 unequal: No Solution
Exploring Operation: 3+93=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[57, 75, 18, 60], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [75, 18, 3]
Generated Node #0,0: 96:[75, 18, 3] Operation: 60-57=3
Moving to Node #0,0
Current State: 96:[75, 18, 3], Operations: ['60-57=3']
Exploring Operation: 75+18=93, Resulting Numbers: [3, 93]
Generated Node #0,0,1: 96:[3, 93] Operation: 75+18=93
Moving to Node #0,0,1
Current State: 96:[3, 93], Operations: ['60-57=3', '75+18=93']
Exploring Operation: 3+93=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.973958 |
hs_3
|
mult_heuristic
|
[
63,
13,
26,
69
] | 93 |
[
"63-13=50",
"69-26=43",
"50+43=93"
] |
Current State: 93:[63, 13, 26, 69], Operations: []
Exploring Operation: 63-13=50, Resulting Numbers: [26, 69, 50]
Generated Node #2: [26, 69, 50] from Operation: 63-13=50
Current State: 93:[26, 69, 50], Operations: ['63-13=50']
Exploring Operation: 69-26=43, Resulting Numbers: [50, 43]
Generated Node #3: [50, 43] from Operation: 69-26=43
Current State: 93:[50, 43], Operations: ['63-13=50', '69-26=43']
Exploring Operation: 50+43=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[63, 13, 26, 69], Operations: []
Exploring Operation: 63+26=89, Resulting Numbers: [13, 69, 89]
Generated Node #0,0: 93:[13, 69, 89] Operation: 63+26=89
Exploring Operation: 69-63=6, Resulting Numbers: [13, 26, 6]
Generated Node #0,1: 93:[13, 26, 6] Operation: 69-63=6
Exploring Operation: 26+69=95, Resulting Numbers: [63, 13, 95]
Generated Node #0,2: 93:[63, 13, 95] Operation: 26+69=95
Exploring Operation: 63-26=37, Resulting Numbers: [13, 69, 37]
Generated Node #0,3: 93:[13, 69, 37] Operation: 63-26=37
Exploring Operation: 63+13=76, Resulting Numbers: [26, 69, 76]
Generated Node #0,4: 93:[26, 69, 76] Operation: 63+13=76
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[13, 26, 6], Operations: ['69-63=6']
Exploring Operation: 13+26=39, Resulting Numbers: [6, 39]
Generated Node #0,1,0: 93:[6, 39] Operation: 13+26=39
Exploring Operation: 13-6=7, Resulting Numbers: [26, 7]
Generated Node #0,1,1: 93:[26, 7] Operation: 13-6=7
Exploring Operation: 26+6=32, Resulting Numbers: [13, 32]
Generated Node #0,1,2: 93:[13, 32] Operation: 26+6=32
Exploring Operation: 26-13=13, Resulting Numbers: [6, 13]
Generated Node #0,1,3: 93:[6, 13] Operation: 26-13=13
Exploring Operation: 26/13=2, Resulting Numbers: [6, 2]
Generated Node #0,1,4: 93:[6, 2] Operation: 26/13=2
Moving to Node #0,1,4
Current State: 93:[6, 2], Operations: ['69-63=6', '26/13=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[26, 7], Operations: ['69-63=6', '13-6=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[6, 39], Operations: ['69-63=6', '13+26=39']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 6*39=234, Resulting Numbers: [234]
234,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[13, 32], Operations: ['69-63=6', '26+6=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 13*32=416, Resulting Numbers: [416]
416,93 unequal: No Solution
Moving to Node #0,1,3
Current State: 93:[6, 13], Operations: ['69-63=6', '26-13=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,93 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[13, 69, 89], Operations: ['63+26=89']
Exploring Operation: 89-13=76, Resulting Numbers: [69, 76]
Generated Node #0,0,0: 93:[69, 76] Operation: 89-13=76
Exploring Operation: 13+89=102, Resulting Numbers: [69, 102]
Generated Node #0,0,1: 93:[69, 102] Operation: 13+89=102
Exploring Operation: 69-13=56, Resulting Numbers: [89, 56]
Generated Node #0,0,2: 93:[89, 56] Operation: 69-13=56
Exploring Operation: 89-69=20, Resulting Numbers: [13, 20]
Generated Node #0,0,3: 93:[13, 20] Operation: 89-69=20
Exploring Operation: 13+69=82, Resulting Numbers: [89, 82]
Generated Node #0,0,4: 93:[89, 82] Operation: 13+69=82
Moving to Node #0,0,4
Current State: 93:[89, 82], Operations: ['63+26=89', '13+69=82']
Exploring Operation: 89-82=7, Resulting Numbers: [7]
7,93 unequal: No Solution
Exploring Operation: 89+82=171, Resulting Numbers: [171]
171,93 unequal: No Solution
Exploring Operation: 89*82=7298, Resulting Numbers: [7298]
7298,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[13, 20], Operations: ['63+26=89', '89-69=20']
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,93 unequal: No Solution
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[89, 56], Operations: ['63+26=89', '69-13=56']
Exploring Operation: 89*56=4984, Resulting Numbers: [4984]
4984,93 unequal: No Solution
Exploring Operation: 89+56=145, Resulting Numbers: [145]
145,93 unequal: No Solution
Exploring Operation: 89-56=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[69, 102], Operations: ['63+26=89', '13+89=102']
Exploring Operation: 102-69=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 69*102=7038, Resulting Numbers: [7038]
7038,93 unequal: No Solution
Exploring Operation: 69+102=171, Resulting Numbers: [171]
171,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[69, 76], Operations: ['63+26=89', '89-13=76']
Exploring Operation: 69*76=5244, Resulting Numbers: [5244]
5244,93 unequal: No Solution
Exploring Operation: 69+76=145, Resulting Numbers: [145]
145,93 unequal: No Solution
Exploring Operation: 76-69=7, Resulting Numbers: [7]
7,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[13, 69, 37], Operations: ['63-26=37']
Exploring Operation: 69-13=56, Resulting Numbers: [37, 56]
Generated Node #0,3,0: 93:[37, 56] Operation: 69-13=56
Exploring Operation: 13+69=82, Resulting Numbers: [37, 82]
Generated Node #0,3,1: 93:[37, 82] Operation: 13+69=82
Exploring Operation: 69+37=106, Resulting Numbers: [13, 106]
Generated Node #0,3,2: 93:[13, 106] Operation: 69+37=106
Exploring Operation: 69-37=32, Resulting Numbers: [13, 32]
Generated Node #0,3,3: 93:[13, 32] Operation: 69-37=32
Exploring Operation: 37-13=24, Resulting Numbers: [69, 24]
Generated Node #0,3,4: 93:[69, 24] Operation: 37-13=24
Moving to Node #0,3,3
Current State: 93:[13, 32], Operations: ['63-26=37', '69-37=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 13*32=416, Resulting Numbers: [416]
416,93 unequal: No Solution
Moving to Node #0,3,1
Current State: 93:[37, 82], Operations: ['63-26=37', '13+69=82']
Exploring Operation: 37*82=3034, Resulting Numbers: [3034]
3034,93 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 37+82=119, Resulting Numbers: [119]
119,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[13, 106], Operations: ['63-26=37', '69+37=106']
Exploring Operation: 106-13=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[63, 13, 26, 69], Operations: []
Exploring Operation: 63-26=37, Resulting Numbers: [13, 69, 37]
Generated Node #0,3: 93:[13, 69, 37] Operation: 63-26=37
Moving to Node #0,3
Current State: 93:[13, 69, 37], Operations: ['63-26=37']
Exploring Operation: 69+37=106, Resulting Numbers: [13, 106]
Generated Node #0,3,2: 93:[13, 106] Operation: 69+37=106
Moving to Node #0,3,2
Current State: 93:[13, 106], Operations: ['63-26=37', '69+37=106']
Exploring Operation: 106-13=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.946181 |
hs_5
|
mult_heuristic
|
[
27,
61,
38,
63
] | 63 |
[
"27+61=88",
"63-38=25",
"88-25=63"
] |
Current State: 63:[27, 61, 38, 63], Operations: []
Exploring Operation: 27+61=88, Resulting Numbers: [38, 63, 88]
Generated Node #2: [38, 63, 88] from Operation: 27+61=88
Current State: 63:[38, 63, 88], Operations: ['27+61=88']
Exploring Operation: 63-38=25, Resulting Numbers: [88, 25]
Generated Node #3: [88, 25] from Operation: 63-38=25
Current State: 63:[88, 25], Operations: ['27+61=88', '63-38=25']
Exploring Operation: 88-25=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[27, 61, 38, 63], Operations: []
Exploring Operation: 27+38=65, Resulting Numbers: [61, 63, 65]
Generated Node #0,0: 63:[61, 63, 65] Operation: 27+38=65
Exploring Operation: 38-27=11, Resulting Numbers: [61, 63, 11]
Generated Node #0,1: 63:[61, 63, 11] Operation: 38-27=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[61, 63, 65], Operations: ['27+38=65']
Exploring Operation: 65-61=4, Resulting Numbers: [63, 4]
Generated Node #0,0,0: 63:[63, 4] Operation: 65-61=4
Exploring Operation: 63-61=2, Resulting Numbers: [65, 2]
Generated Node #0,0,1: 63:[65, 2] Operation: 63-61=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[63, 4], Operations: ['27+38=65', '65-61=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,63 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[65, 2], Operations: ['27+38=65', '63-61=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[27, 61, 38, 63], Operations: []
Exploring Operation: 27+38=65, Resulting Numbers: [61, 63, 65]
Generated Node #0,0: 63:[61, 63, 65] Operation: 27+38=65
Moving to Node #0,0
Current State: 63:[61, 63, 65], Operations: ['27+38=65']
Exploring Operation: 63-61=2, Resulting Numbers: [65, 2]
Generated Node #0,0,1: 63:[65, 2] Operation: 63-61=2
Moving to Node #0,0,1
Current State: 63:[65, 2], Operations: ['27+38=65', '63-61=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 |
hs_2
|
sum_heuristic
|
[
5,
95,
2,
26
] | 64 |
[
"95/5=19",
"2*19=38",
"26+38=64"
] |
Current State: 64:[5, 95, 2, 26], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [2, 26, 19]
Generated Node #2: [2, 26, 19] from Operation: 95/5=19
Current State: 64:[2, 26, 19], Operations: ['95/5=19']
Exploring Operation: 2*19=38, Resulting Numbers: [26, 38]
Generated Node #3: [26, 38] from Operation: 2*19=38
Current State: 64:[26, 38], Operations: ['95/5=19', '2*19=38']
Exploring Operation: 26+38=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
Current State: 64:[5, 95, 2, 26], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [2, 26, 19]
Generated Node #0,0: 64:[2, 26, 19] Operation: 95/5=19
Exploring Operation: 95-5=90, Resulting Numbers: [2, 26, 90]
Generated Node #0,1: 64:[2, 26, 90] Operation: 95-5=90
Exploring Operation: 95-26=69, Resulting Numbers: [5, 2, 69]
Generated Node #0,2: 64:[5, 2, 69] Operation: 95-26=69
Moving to Node #0,2
Current State: 64:[5, 2, 69], Operations: ['95-26=69']
Exploring Operation: 69-2=67, Resulting Numbers: [5, 67]
Generated Node #0,2,0: 64:[5, 67] Operation: 69-2=67
Exploring Operation: 5+2=7, Resulting Numbers: [69, 7]
Generated Node #0,2,1: 64:[69, 7] Operation: 5+2=7
Exploring Operation: 69-5=64, Resulting Numbers: [2, 64]
Generated Node #0,2,2: 64:[2, 64] Operation: 69-5=64
Moving to Node #0,0
Current State: 64:[2, 26, 19], Operations: ['95/5=19']
Exploring Operation: 2+26=28, Resulting Numbers: [19, 28]
Generated Node #0,0,0: 64:[19, 28] Operation: 2+26=28
Exploring Operation: 26-19=7, Resulting Numbers: [2, 7]
Generated Node #0,0,1: 64:[2, 7] Operation: 26-19=7
Exploring Operation: 26/2=13, Resulting Numbers: [19, 13]
Generated Node #0,0,2: 64:[19, 13] Operation: 26/2=13
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[2, 7], Operations: ['95/5=19', '26-19=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[19, 13], Operations: ['95/5=19', '26/2=13']
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,64 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[19, 28], Operations: ['95/5=19', '2+26=28']
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,64 unequal: No Solution
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 64:[2, 26, 90], Operations: ['95-5=90']
Exploring Operation: 90/2=45, Resulting Numbers: [26, 45]
Generated Node #0,1,0: 64:[26, 45] Operation: 90/2=45
Exploring Operation: 26/2=13, Resulting Numbers: [90, 13]
Generated Node #0,1,1: 64:[90, 13] Operation: 26/2=13
Exploring Operation: 90-26=64, Resulting Numbers: [2, 64]
Generated Node #0,1,2: 64:[2, 64] Operation: 90-26=64
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 64:[2, 64], Operations: ['95-5=90', '90-26=64']
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,64 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[26, 45], Operations: ['95-5=90', '90/2=45']
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 26+45=71, Resulting Numbers: [71]
71,64 unequal: No Solution
Exploring Operation: 26*45=1170, Resulting Numbers: [1170]
1170,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[90, 13], Operations: ['95-5=90', '26/2=13']
Exploring Operation: 90*13=1170, Resulting Numbers: [1170]
1170,64 unequal: No Solution
Exploring Operation: 90+13=103, Resulting Numbers: [103]
103,64 unequal: No Solution
Exploring Operation: 90-13=77, Resulting Numbers: [77]
77,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 64:[2, 64], Operations: ['95-26=69', '69-5=64']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,64 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[5, 67], Operations: ['95-26=69', '69-2=67']
Exploring Operation: 5*67=335, Resulting Numbers: [335]
335,64 unequal: No Solution
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 5+67=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[69, 7], Operations: ['95-26=69', '5+2=7']
Exploring Operation: 69+7=76, Resulting Numbers: [76]
76,64 unequal: No Solution
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 69*7=483, Resulting Numbers: [483]
483,64 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
90,
6,
58,
80
] | 37 |
[
"90/6=15",
"80-58=22",
"15+22=37"
] |
Current State: 37:[90, 6, 58, 80], Operations: []
Exploring Operation: 90/6=15, Resulting Numbers: [58, 80, 15]
Generated Node #2: [58, 80, 15] from Operation: 90/6=15
Current State: 37:[58, 80, 15], Operations: ['90/6=15']
Exploring Operation: 80-58=22, Resulting Numbers: [15, 22]
Generated Node #3: [15, 22] from Operation: 80-58=22
Current State: 37:[15, 22], Operations: ['90/6=15', '80-58=22']
Exploring Operation: 15+22=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[90, 6, 58, 80], Operations: []
Exploring Operation: 90/6=15, Resulting Numbers: [58, 80, 15]
Generated Node #0,0: 37:[58, 80, 15] Operation: 90/6=15
Exploring Operation: 90-80=10, Resulting Numbers: [6, 58, 10]
Generated Node #0,1: 37:[6, 58, 10] Operation: 90-80=10
Exploring Operation: 90-58=32, Resulting Numbers: [6, 80, 32]
Generated Node #0,2: 37:[6, 80, 32] Operation: 90-58=32
Exploring Operation: 80-58=22, Resulting Numbers: [90, 6, 22]
Generated Node #0,3: 37:[90, 6, 22] Operation: 80-58=22
Moving to Node #0,1
Current State: 37:[6, 58, 10], Operations: ['90-80=10']
Exploring Operation: 6*10=60, Resulting Numbers: [58, 60]
Generated Node #0,1,0: 37:[58, 60] Operation: 6*10=60
Exploring Operation: 58-10=48, Resulting Numbers: [6, 48]
Generated Node #0,1,1: 37:[6, 48] Operation: 58-10=48
Exploring Operation: 58-6=52, Resulting Numbers: [10, 52]
Generated Node #0,1,2: 37:[10, 52] Operation: 58-6=52
Exploring Operation: 6+10=16, Resulting Numbers: [58, 16]
Generated Node #0,1,3: 37:[58, 16] Operation: 6+10=16
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[6, 48], Operations: ['90-80=10', '58-10=48']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Exploring Operation: 6*48=288, Resulting Numbers: [288]
288,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 37:[10, 52], Operations: ['90-80=10', '58-6=52']
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 10*52=520, Resulting Numbers: [520]
520,37 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 37:[58, 16], Operations: ['90-80=10', '6+10=16']
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,37 unequal: No Solution
Exploring Operation: 58*16=928, Resulting Numbers: [928]
928,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[58, 60], Operations: ['90-80=10', '6*10=60']
Exploring Operation: 58+60=118, Resulting Numbers: [118]
118,37 unequal: No Solution
Exploring Operation: 58*60=3480, Resulting Numbers: [3480]
3480,37 unequal: No Solution
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 37:[6, 80, 32], Operations: ['90-58=32']
Exploring Operation: 6+32=38, Resulting Numbers: [80, 38]
Generated Node #0,2,0: 37:[80, 38] Operation: 6+32=38
Exploring Operation: 6+80=86, Resulting Numbers: [32, 86]
Generated Node #0,2,1: 37:[32, 86] Operation: 6+80=86
Exploring Operation: 80-32=48, Resulting Numbers: [6, 48]
Generated Node #0,2,2: 37:[6, 48] Operation: 80-32=48
Exploring Operation: 80-6=74, Resulting Numbers: [32, 74]
Generated Node #0,2,3: 37:[32, 74] Operation: 80-6=74
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 37:[6, 48], Operations: ['90-58=32', '80-32=48']
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 6*48=288, Resulting Numbers: [288]
288,37 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 37:[32, 74], Operations: ['90-58=32', '80-6=74']
Exploring Operation: 74-32=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 32*74=2368, Resulting Numbers: [2368]
2368,37 unequal: No Solution
Exploring Operation: 32+74=106, Resulting Numbers: [106]
106,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 37:[80, 38], Operations: ['90-58=32', '6+32=38']
Exploring Operation: 80+38=118, Resulting Numbers: [118]
118,37 unequal: No Solution
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 80*38=3040, Resulting Numbers: [3040]
3040,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 37:[32, 86], Operations: ['90-58=32', '6+80=86']
Exploring Operation: 32*86=2752, Resulting Numbers: [2752]
2752,37 unequal: No Solution
Exploring Operation: 32+86=118, Resulting Numbers: [118]
118,37 unequal: No Solution
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 37:[58, 80, 15], Operations: ['90/6=15']
Exploring Operation: 80-58=22, Resulting Numbers: [15, 22]
Generated Node #0,0,0: 37:[15, 22] Operation: 80-58=22
Exploring Operation: 80-15=65, Resulting Numbers: [58, 65]
Generated Node #0,0,1: 37:[58, 65] Operation: 80-15=65
Exploring Operation: 58-15=43, Resulting Numbers: [80, 43]
Generated Node #0,0,2: 37:[80, 43] Operation: 58-15=43
Exploring Operation: 58+15=73, Resulting Numbers: [80, 73]
Generated Node #0,0,3: 37:[80, 73] Operation: 58+15=73
Moving to Node #0,3
Current State: 37:[90, 6, 22], Operations: ['80-58=22']
Exploring Operation: 90/6=15, Resulting Numbers: [22, 15]
Generated Node #0,3,0: 37:[22, 15] Operation: 90/6=15
Exploring Operation: 6+22=28, Resulting Numbers: [90, 28]
Generated Node #0,3,1: 37:[90, 28] Operation: 6+22=28
Exploring Operation: 90-22=68, Resulting Numbers: [6, 68]
Generated Node #0,3,2: 37:[6, 68] Operation: 90-22=68
Exploring Operation: 90-6=84, Resulting Numbers: [22, 84]
Generated Node #0,3,3: 37:[22, 84] Operation: 90-6=84
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 37:[22, 15], Operations: ['80-58=22', '90/6=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[90, 6, 58, 80], Operations: []
Exploring Operation: 80-58=22, Resulting Numbers: [90, 6, 22]
Generated Node #0,3: 37:[90, 6, 22] Operation: 80-58=22
Moving to Node #0,3
Current State: 37:[90, 6, 22], Operations: ['80-58=22']
Exploring Operation: 90/6=15, Resulting Numbers: [22, 15]
Generated Node #0,3,0: 37:[22, 15] Operation: 90/6=15
Moving to Node #0,3,0
Current State: 37:[22, 15], Operations: ['80-58=22', '90/6=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729 |
hs_4
|
sum_heuristic
|
[
24,
40,
70,
7
] | 28 |
[
"40*7=280",
"280/70=4",
"24+4=28"
] |
Current State: 28:[24, 40, 70, 7], Operations: []
Exploring Operation: 40*7=280, Resulting Numbers: [24, 70, 280]
Generated Node #2: [24, 70, 280] from Operation: 40*7=280
Current State: 28:[24, 70, 280], Operations: ['40*7=280']
Exploring Operation: 280/70=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 280/70=4
Current State: 28:[24, 4], Operations: ['40*7=280', '280/70=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
Current State: 28:[24, 40, 70, 7], Operations: []
Exploring Operation: 70-40=30, Resulting Numbers: [24, 7, 30]
Generated Node #0,0: 28:[24, 7, 30] Operation: 70-40=30
Moving to Node #0,0
Current State: 28:[24, 7, 30], Operations: ['70-40=30']
Exploring Operation: 30-24=6, Resulting Numbers: [7, 6]
Generated Node #0,0,0: 28:[7, 6] Operation: 30-24=6
Moving to Node #0,0,0
Current State: 28:[7, 6], Operations: ['70-40=30', '30-24=6']
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,28 unequal: No Solution
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
49,
90,
25,
2
] | 69 |
[
"49-25=24",
"90/2=45",
"24+45=69"
] |
Current State: 69:[49, 90, 25, 2], Operations: []
Exploring Operation: 49-25=24, Resulting Numbers: [90, 2, 24]
Generated Node #2: [90, 2, 24] from Operation: 49-25=24
Current State: 69:[90, 2, 24], Operations: ['49-25=24']
Exploring Operation: 90/2=45, Resulting Numbers: [24, 45]
Generated Node #3: [24, 45] from Operation: 90/2=45
Current State: 69:[24, 45], Operations: ['49-25=24', '90/2=45']
Exploring Operation: 24+45=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
Current State: 69:[49, 90, 25, 2], Operations: []
Exploring Operation: 49-25=24, Resulting Numbers: [90, 2, 24]
Generated Node #0,0: 69:[90, 2, 24] Operation: 49-25=24
Exploring Operation: 90-49=41, Resulting Numbers: [25, 2, 41]
Generated Node #0,1: 69:[25, 2, 41] Operation: 90-49=41
Moving to Node #0,1
Current State: 69:[25, 2, 41], Operations: ['90-49=41']
Exploring Operation: 25+41=66, Resulting Numbers: [2, 66]
Generated Node #0,1,0: 69:[2, 66] Operation: 25+41=66
Exploring Operation: 41-25=16, Resulting Numbers: [2, 16]
Generated Node #0,1,1: 69:[2, 16] Operation: 41-25=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 69:[2, 66], Operations: ['90-49=41', '25+41=66']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,69 unequal: No Solution
Exploring Operation: 2+66=68, Resulting Numbers: [68]
68,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 69:[2, 16], Operations: ['90-49=41', '41-25=16']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 69:[90, 2, 24], Operations: ['49-25=24']
Exploring Operation: 90-2=88, Resulting Numbers: [24, 88]
Generated Node #0,0,0: 69:[24, 88] Operation: 90-2=88
Exploring Operation: 90-24=66, Resulting Numbers: [2, 66]
Generated Node #0,0,1: 69:[2, 66] Operation: 90-24=66
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[2, 66], Operations: ['49-25=24', '90-24=66']
Exploring Operation: 2+66=68, Resulting Numbers: [68]
68,69 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[24, 88], Operations: ['49-25=24', '90-2=88']
Exploring Operation: 24+88=112, Resulting Numbers: [112]
112,69 unequal: No Solution
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
70,
14,
17,
65
] | 67 |
[
"65-14=51",
"51/17=3",
"70-3=67"
] |
Current State: 67:[70, 14, 17, 65], Operations: []
Exploring Operation: 65-14=51, Resulting Numbers: [70, 17, 51]
Generated Node #2: [70, 17, 51] from Operation: 65-14=51
Current State: 67:[70, 17, 51], Operations: ['65-14=51']
Exploring Operation: 51/17=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 51/17=3
Current State: 67:[70, 3], Operations: ['65-14=51', '51/17=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[70, 14, 17, 65], Operations: []
Exploring Operation: 14+17=31, Resulting Numbers: [70, 65, 31]
Generated Node #0,0: 67:[70, 65, 31] Operation: 14+17=31
Exploring Operation: 14+65=79, Resulting Numbers: [70, 17, 79]
Generated Node #0,1: 67:[70, 17, 79] Operation: 14+65=79
Exploring Operation: 70-14=56, Resulting Numbers: [17, 65, 56]
Generated Node #0,2: 67:[17, 65, 56] Operation: 70-14=56
Moving to Node #0,0
Current State: 67:[70, 65, 31], Operations: ['14+17=31']
Exploring Operation: 70+31=101, Resulting Numbers: [65, 101]
Generated Node #0,0,0: 67:[65, 101] Operation: 70+31=101
Exploring Operation: 70-31=39, Resulting Numbers: [65, 39]
Generated Node #0,0,1: 67:[65, 39] Operation: 70-31=39
Exploring Operation: 65+31=96, Resulting Numbers: [70, 96]
Generated Node #0,0,2: 67:[70, 96] Operation: 65+31=96
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[65, 39], Operations: ['14+17=31', '70-31=39']
Exploring Operation: 65*39=2535, Resulting Numbers: [2535]
2535,67 unequal: No Solution
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 65+39=104, Resulting Numbers: [104]
104,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 67:[70, 96], Operations: ['14+17=31', '65+31=96']
Exploring Operation: 96-70=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 70*96=6720, Resulting Numbers: [6720]
6720,67 unequal: No Solution
Exploring Operation: 70+96=166, Resulting Numbers: [166]
166,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[65, 101], Operations: ['14+17=31', '70+31=101']
Exploring Operation: 65*101=6565, Resulting Numbers: [6565]
6565,67 unequal: No Solution
Exploring Operation: 101-65=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 65+101=166, Resulting Numbers: [166]
166,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 67:[17, 65, 56], Operations: ['70-14=56']
Exploring Operation: 17+56=73, Resulting Numbers: [65, 73]
Generated Node #0,2,0: 67:[65, 73] Operation: 17+56=73
Exploring Operation: 17+65=82, Resulting Numbers: [56, 82]
Generated Node #0,2,1: 67:[56, 82] Operation: 17+65=82
Exploring Operation: 65-17=48, Resulting Numbers: [56, 48]
Generated Node #0,2,2: 67:[56, 48] Operation: 65-17=48
Moving to Node #0,1
Current State: 67:[70, 17, 79], Operations: ['14+65=79']
Exploring Operation: 70-17=53, Resulting Numbers: [79, 53]
Generated Node #0,1,0: 67:[79, 53] Operation: 70-17=53
Exploring Operation: 70+17=87, Resulting Numbers: [79, 87]
Generated Node #0,1,1: 67:[79, 87] Operation: 70+17=87
Exploring Operation: 79-17=62, Resulting Numbers: [70, 62]
Generated Node #0,1,2: 67:[70, 62] Operation: 79-17=62
Moving to Node #0,2,0
Current State: 67:[65, 73], Operations: ['70-14=56', '17+56=73']
Exploring Operation: 65*73=4745, Resulting Numbers: [4745]
4745,67 unequal: No Solution
Exploring Operation: 65+73=138, Resulting Numbers: [138]
138,67 unequal: No Solution
Exploring Operation: 73-65=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[70, 62], Operations: ['14+65=79', '79-17=62']
Exploring Operation: 70*62=4340, Resulting Numbers: [4340]
4340,67 unequal: No Solution
Exploring Operation: 70+62=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Exploring Operation: 70-62=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[79, 53], Operations: ['14+65=79', '70-17=53']
Exploring Operation: 79+53=132, Resulting Numbers: [132]
132,67 unequal: No Solution
Exploring Operation: 79*53=4187, Resulting Numbers: [4187]
4187,67 unequal: No Solution
Exploring Operation: 79-53=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[56, 82], Operations: ['70-14=56', '17+65=82']
Exploring Operation: 56*82=4592, Resulting Numbers: [4592]
4592,67 unequal: No Solution
Exploring Operation: 82-56=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 56+82=138, Resulting Numbers: [138]
138,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[56, 48], Operations: ['70-14=56', '65-17=48']
Exploring Operation: 56+48=104, Resulting Numbers: [104]
104,67 unequal: No Solution
Exploring Operation: 56*48=2688, Resulting Numbers: [2688]
2688,67 unequal: No Solution
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[79, 87], Operations: ['14+65=79', '70+17=87']
Exploring Operation: 79+87=166, Resulting Numbers: [166]
166,67 unequal: No Solution
Exploring Operation: 87-79=8, Resulting Numbers: [8]
8,67 unequal: No Solution
Exploring Operation: 79*87=6873, Resulting Numbers: [6873]
6873,67 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
95,
51,
7,
99
] | 23 |
[
"99-95=4",
"7*4=28",
"51-28=23"
] |
Current State: 23:[95, 51, 7, 99], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [51, 7, 4]
Generated Node #2: [51, 7, 4] from Operation: 99-95=4
Current State: 23:[51, 7, 4], Operations: ['99-95=4']
Exploring Operation: 7*4=28, Resulting Numbers: [51, 28]
Generated Node #3: [51, 28] from Operation: 7*4=28
Current State: 23:[51, 28], Operations: ['99-95=4', '7*4=28']
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
Current State: 23:[95, 51, 7, 99], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [51, 7, 4]
Generated Node #0,0: 23:[51, 7, 4] Operation: 99-95=4
Moving to Node #0,0
Current State: 23:[51, 7, 4], Operations: ['99-95=4']
Exploring Operation: 7*4=28, Resulting Numbers: [51, 28]
Generated Node #0,0,0: 23:[51, 28] Operation: 7*4=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[51, 28], Operations: ['99-95=4', '7*4=28']
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[95, 51, 7, 99], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [51, 7, 4]
Generated Node #0,0: 23:[51, 7, 4] Operation: 99-95=4
Moving to Node #0,0
Current State: 23:[51, 7, 4], Operations: ['99-95=4']
Exploring Operation: 7*4=28, Resulting Numbers: [51, 28]
Generated Node #0,0,0: 23:[51, 28] Operation: 7*4=28
Moving to Node #0,0,0
Current State: 23:[51, 28], Operations: ['99-95=4', '7*4=28']
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
sum_heuristic
|
[
58,
39,
87,
96
] | 60 |
[
"87-39=48",
"96/48=2",
"58+2=60"
] |
Current State: 60:[58, 39, 87, 96], Operations: []
Exploring Operation: 87-39=48, Resulting Numbers: [58, 96, 48]
Generated Node #2: [58, 96, 48] from Operation: 87-39=48
Current State: 60:[58, 96, 48], Operations: ['87-39=48']
Exploring Operation: 96/48=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 96/48=2
Current State: 60:[58, 2], Operations: ['87-39=48', '96/48=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
Current State: 60:[58, 39, 87, 96], Operations: []
Exploring Operation: 96-58=38, Resulting Numbers: [39, 87, 38]
Generated Node #0,0: 60:[39, 87, 38] Operation: 96-58=38
Exploring Operation: 87-58=29, Resulting Numbers: [39, 96, 29]
Generated Node #0,1: 60:[39, 96, 29] Operation: 87-58=29
Exploring Operation: 96-87=9, Resulting Numbers: [58, 39, 9]
Generated Node #0,2: 60:[58, 39, 9] Operation: 96-87=9
Exploring Operation: 87-39=48, Resulting Numbers: [58, 96, 48]
Generated Node #0,3: 60:[58, 96, 48] Operation: 87-39=48
Exploring Operation: 96-39=57, Resulting Numbers: [58, 87, 57]
Generated Node #0,4: 60:[58, 87, 57] Operation: 96-39=57
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[58, 39, 9], Operations: ['96-87=9']
Exploring Operation: 58+9=67, Resulting Numbers: [39, 67]
Generated Node #0,2,0: 60:[39, 67] Operation: 58+9=67
Exploring Operation: 58-9=49, Resulting Numbers: [39, 49]
Generated Node #0,2,1: 60:[39, 49] Operation: 58-9=49
Exploring Operation: 39+9=48, Resulting Numbers: [58, 48]
Generated Node #0,2,2: 60:[58, 48] Operation: 39+9=48
Exploring Operation: 39-9=30, Resulting Numbers: [58, 30]
Generated Node #0,2,3: 60:[58, 30] Operation: 39-9=30
Exploring Operation: 58-39=19, Resulting Numbers: [9, 19]
Generated Node #0,2,4: 60:[9, 19] Operation: 58-39=19
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 60:[58, 30], Operations: ['96-87=9', '39-9=30']
Exploring Operation: 58*30=1740, Resulting Numbers: [1740]
1740,60 unequal: No Solution
Exploring Operation: 58-30=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 58+30=88, Resulting Numbers: [88]
88,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 60:[9, 19], Operations: ['96-87=9', '58-39=19']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 9*19=171, Resulting Numbers: [171]
171,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 60:[58, 48], Operations: ['96-87=9', '39+9=48']
Exploring Operation: 58*48=2784, Resulting Numbers: [2784]
2784,60 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 58+48=106, Resulting Numbers: [106]
106,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 60:[39, 67], Operations: ['96-87=9', '58+9=67']
Exploring Operation: 67-39=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 39+67=106, Resulting Numbers: [106]
106,60 unequal: No Solution
Exploring Operation: 39*67=2613, Resulting Numbers: [2613]
2613,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 60:[39, 49], Operations: ['96-87=9', '58-9=49']
Exploring Operation: 39*49=1911, Resulting Numbers: [1911]
1911,60 unequal: No Solution
Exploring Operation: 39+49=88, Resulting Numbers: [88]
88,60 unequal: No Solution
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 60:[58, 87, 57], Operations: ['96-39=57']
Exploring Operation: 87-57=30, Resulting Numbers: [58, 30]
Generated Node #0,4,0: 60:[58, 30] Operation: 87-57=30
Exploring Operation: 58-57=1, Resulting Numbers: [87, 1]
Generated Node #0,4,1: 60:[87, 1] Operation: 58-57=1
Exploring Operation: 87+57=144, Resulting Numbers: [58, 144]
Generated Node #0,4,2: 60:[58, 144] Operation: 87+57=144
Exploring Operation: 87-58=29, Resulting Numbers: [57, 29]
Generated Node #0,4,3: 60:[57, 29] Operation: 87-58=29
Exploring Operation: 58+57=115, Resulting Numbers: [87, 115]
Generated Node #0,4,4: 60:[87, 115] Operation: 58+57=115
Moving to Node #0,4,0
Current State: 60:[58, 30], Operations: ['96-39=57', '87-57=30']
Exploring Operation: 58*30=1740, Resulting Numbers: [1740]
1740,60 unequal: No Solution
Exploring Operation: 58+30=88, Resulting Numbers: [88]
88,60 unequal: No Solution
Exploring Operation: 58-30=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Moving to Node #0,4,3
Current State: 60:[57, 29], Operations: ['96-39=57', '87-58=29']
Exploring Operation: 57*29=1653, Resulting Numbers: [1653]
1653,60 unequal: No Solution
Exploring Operation: 57+29=86, Resulting Numbers: [86]
86,60 unequal: No Solution
Exploring Operation: 57-29=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Moving to Node #0,4,1
Current State: 60:[87, 1], Operations: ['96-39=57', '58-57=1']
Exploring Operation: 87+1=88, Resulting Numbers: [88]
88,60 unequal: No Solution
Exploring Operation: 87*1=87, Resulting Numbers: [87]
87,60 unequal: No Solution
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,60 unequal: No Solution
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,60 unequal: No Solution
Moving to Node #0,4,4
Current State: 60:[87, 115], Operations: ['96-39=57', '58+57=115']
Exploring Operation: 115-87=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 87+115=202, Resulting Numbers: [202]
202,60 unequal: No Solution
Exploring Operation: 87*115=10005, Resulting Numbers: [10005]
10005,60 unequal: No Solution
Moving to Node #0,4,2
Current State: 60:[58, 144], Operations: ['96-39=57', '87+57=144']
Exploring Operation: 58+144=202, Resulting Numbers: [202]
202,60 unequal: No Solution
Exploring Operation: 144-58=86, Resulting Numbers: [86]
86,60 unequal: No Solution
Exploring Operation: 58*144=8352, Resulting Numbers: [8352]
8352,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[39, 87, 38], Operations: ['96-58=38']
Exploring Operation: 39-38=1, Resulting Numbers: [87, 1]
Generated Node #0,0,0: 60:[87, 1] Operation: 39-38=1
Exploring Operation: 39+87=126, Resulting Numbers: [38, 126]
Generated Node #0,0,1: 60:[38, 126] Operation: 39+87=126
Exploring Operation: 39+38=77, Resulting Numbers: [87, 77]
Generated Node #0,0,2: 60:[87, 77] Operation: 39+38=77
Exploring Operation: 87-39=48, Resulting Numbers: [38, 48]
Generated Node #0,0,3: 60:[38, 48] Operation: 87-39=48
Exploring Operation: 87-38=49, Resulting Numbers: [39, 49]
Generated Node #0,0,4: 60:[39, 49] Operation: 87-38=49
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 60:[38, 48], Operations: ['96-58=38', '87-39=48']
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 38*48=1824, Resulting Numbers: [1824]
1824,60 unequal: No Solution
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 60:[39, 49], Operations: ['96-58=38', '87-38=49']
Exploring Operation: 39+49=88, Resulting Numbers: [88]
88,60 unequal: No Solution
Exploring Operation: 39*49=1911, Resulting Numbers: [1911]
1911,60 unequal: No Solution
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[87, 1], Operations: ['96-58=38', '39-38=1']
Exploring Operation: 87+1=88, Resulting Numbers: [88]
88,60 unequal: No Solution
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,60 unequal: No Solution
Exploring Operation: 87*1=87, Resulting Numbers: [87]
87,60 unequal: No Solution
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 60:[87, 77], Operations: ['96-58=38', '39+38=77']
Exploring Operation: 87+77=164, Resulting Numbers: [164]
164,60 unequal: No Solution
Exploring Operation: 87-77=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 87*77=6699, Resulting Numbers: [6699]
6699,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 60:[38, 126], Operations: ['96-58=38', '39+87=126']
Exploring Operation: 38+126=164, Resulting Numbers: [164]
164,60 unequal: No Solution
Exploring Operation: 126-38=88, Resulting Numbers: [88]
88,60 unequal: No Solution
Exploring Operation: 38*126=4788, Resulting Numbers: [4788]
4788,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[39, 96, 29], Operations: ['87-58=29']
Exploring Operation: 96+29=125, Resulting Numbers: [39, 125]
Generated Node #0,1,0: 60:[39, 125] Operation: 96+29=125
Exploring Operation: 39+29=68, Resulting Numbers: [96, 68]
Generated Node #0,1,1: 60:[96, 68] Operation: 39+29=68
Exploring Operation: 96-39=57, Resulting Numbers: [29, 57]
Generated Node #0,1,2: 60:[29, 57] Operation: 96-39=57
Exploring Operation: 39-29=10, Resulting Numbers: [96, 10]
Generated Node #0,1,3: 60:[96, 10] Operation: 39-29=10
Exploring Operation: 96-29=67, Resulting Numbers: [39, 67]
Generated Node #0,1,4: 60:[39, 67] Operation: 96-29=67
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[29, 57], Operations: ['87-58=29', '96-39=57']
Exploring Operation: 57-29=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 29*57=1653, Resulting Numbers: [1653]
1653,60 unequal: No Solution
Exploring Operation: 29+57=86, Resulting Numbers: [86]
86,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 60:[39, 67], Operations: ['87-58=29', '96-29=67']
Exploring Operation: 39*67=2613, Resulting Numbers: [2613]
2613,60 unequal: No Solution
Exploring Operation: 67-39=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 39+67=106, Resulting Numbers: [106]
106,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 60:[96, 10], Operations: ['87-58=29', '39-29=10']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,60 unequal: No Solution
Exploring Operation: 96+10=106, Resulting Numbers: [106]
106,60 unequal: No Solution
Exploring Operation: 96*10=960, Resulting Numbers: [960]
960,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[96, 68], Operations: ['87-58=29', '39+29=68']
Exploring Operation: 96*68=6528, Resulting Numbers: [6528]
6528,60 unequal: No Solution
Exploring Operation: 96+68=164, Resulting Numbers: [164]
164,60 unequal: No Solution
Exploring Operation: 96-68=28, Resulting Numbers: [28]
28,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 60:[39, 125], Operations: ['87-58=29', '96+29=125']
Exploring Operation: 125-39=86, Resulting Numbers: [86]
86,60 unequal: No Solution
Exploring Operation: 39*125=4875, Resulting Numbers: [4875]
4875,60 unequal: No Solution
Exploring Operation: 39+125=164, Resulting Numbers: [164]
164,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 60:[58, 96, 48], Operations: ['87-39=48']
Exploring Operation: 96-58=38, Resulting Numbers: [48, 38]
Generated Node #0,3,0: 60:[48, 38] Operation: 96-58=38
Exploring Operation: 58+48=106, Resulting Numbers: [96, 106]
Generated Node #0,3,1: 60:[96, 106] Operation: 58+48=106
Exploring Operation: 58-48=10, Resulting Numbers: [96, 10]
Generated Node #0,3,2: 60:[96, 10] Operation: 58-48=10
Exploring Operation: 96-48=48, Resulting Numbers: [58, 48]
Generated Node #0,3,3: 60:[58, 48] Operation: 96-48=48
Exploring Operation: 96/48=2, Resulting Numbers: [58, 2]
Generated Node #0,3,4: 60:[58, 2] Operation: 96/48=2
Moving to Node #0,3,4
Current State: 60:[58, 2], Operations: ['87-39=48', '96/48=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,60 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Exploring Operation: 58*2=116, Resulting Numbers: [116]
116,60 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[58, 39, 87, 96], Operations: []
Exploring Operation: 87-39=48, Resulting Numbers: [58, 96, 48]
Generated Node #0,3: 60:[58, 96, 48] Operation: 87-39=48
Moving to Node #0,3
Current State: 60:[58, 96, 48], Operations: ['87-39=48']
Exploring Operation: 96/48=2, Resulting Numbers: [58, 2]
Generated Node #0,3,4: 60:[58, 2] Operation: 96/48=2
Moving to Node #0,3,4
Current State: 60:[58, 2], Operations: ['87-39=48', '96/48=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.913194 |
hs_5
|
sum_heuristic
|
[
30,
75,
7,
72
] | 97 |
[
"75-72=3",
"30*3=90",
"7+90=97"
] |
Current State: 97:[30, 75, 7, 72], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [30, 7, 3]
Generated Node #2: [30, 7, 3] from Operation: 75-72=3
Current State: 97:[30, 7, 3], Operations: ['75-72=3']
Exploring Operation: 30*3=90, Resulting Numbers: [7, 90]
Generated Node #3: [7, 90] from Operation: 30*3=90
Current State: 97:[7, 90], Operations: ['75-72=3', '30*3=90']
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[30, 75, 7, 72], Operations: []
Exploring Operation: 30+7=37, Resulting Numbers: [75, 72, 37]
Generated Node #0,0: 97:[75, 72, 37] Operation: 30+7=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[75, 72, 37], Operations: ['30+7=37']
Exploring Operation: 72+37=109, Resulting Numbers: [75, 109]
Generated Node #0,0,0: 97:[75, 109] Operation: 72+37=109
Moving to Node #0,0,0
Current State: 97:[75, 109], Operations: ['30+7=37', '72+37=109']
Exploring Operation: 109-75=34, Resulting Numbers: [34]
34,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
67,
66,
63,
22
] | 92 |
[
"67+66=133",
"63-22=41",
"133-41=92"
] |
Current State: 92:[67, 66, 63, 22], Operations: []
Exploring Operation: 67+66=133, Resulting Numbers: [63, 22, 133]
Generated Node #2: [63, 22, 133] from Operation: 67+66=133
Current State: 92:[63, 22, 133], Operations: ['67+66=133']
Exploring Operation: 63-22=41, Resulting Numbers: [133, 41]
Generated Node #3: [133, 41] from Operation: 63-22=41
Current State: 92:[133, 41], Operations: ['67+66=133', '63-22=41']
Exploring Operation: 133-41=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[67, 66, 63, 22], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [66, 22, 4]
Generated Node #0,0: 92:[66, 22, 4] Operation: 67-63=4
Exploring Operation: 67-66=1, Resulting Numbers: [63, 22, 1]
Generated Node #0,1: 92:[63, 22, 1] Operation: 67-66=1
Exploring Operation: 67-22=45, Resulting Numbers: [66, 63, 45]
Generated Node #0,2: 92:[66, 63, 45] Operation: 67-22=45
Exploring Operation: 66-63=3, Resulting Numbers: [67, 22, 3]
Generated Node #0,3: 92:[67, 22, 3] Operation: 66-63=3
Moving to Node #0,1
Current State: 92:[63, 22, 1], Operations: ['67-66=1']
Exploring Operation: 22+1=23, Resulting Numbers: [63, 23]
Generated Node #0,1,0: 92:[63, 23] Operation: 22+1=23
Exploring Operation: 63-1=62, Resulting Numbers: [22, 62]
Generated Node #0,1,1: 92:[22, 62] Operation: 63-1=62
Exploring Operation: 63-22=41, Resulting Numbers: [1, 41]
Generated Node #0,1,2: 92:[1, 41] Operation: 63-22=41
Exploring Operation: 63+22=85, Resulting Numbers: [1, 85]
Generated Node #0,1,3: 92:[1, 85] Operation: 63+22=85
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 92:[1, 41], Operations: ['67-66=1', '63-22=41']
Exploring Operation: 1+41=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 92:[1, 85], Operations: ['67-66=1', '63+22=85']
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,92 unequal: No Solution
Exploring Operation: 1+85=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 1*85=85, Resulting Numbers: [85]
85,92 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[63, 23], Operations: ['67-66=1', '22+1=23']
Exploring Operation: 63*23=1449, Resulting Numbers: [1449]
1449,92 unequal: No Solution
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 63+23=86, Resulting Numbers: [86]
86,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 92:[22, 62], Operations: ['67-66=1', '63-1=62']
Exploring Operation: 22*62=1364, Resulting Numbers: [1364]
1364,92 unequal: No Solution
Exploring Operation: 22+62=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 92:[66, 22, 4], Operations: ['67-63=4']
Exploring Operation: 66/22=3, Resulting Numbers: [4, 3]
Generated Node #0,0,0: 92:[4, 3] Operation: 66/22=3
Exploring Operation: 66-4=62, Resulting Numbers: [22, 62]
Generated Node #0,0,1: 92:[22, 62] Operation: 66-4=62
Exploring Operation: 66+22=88, Resulting Numbers: [4, 88]
Generated Node #0,0,2: 92:[4, 88] Operation: 66+22=88
Exploring Operation: 66-22=44, Resulting Numbers: [4, 44]
Generated Node #0,0,3: 92:[4, 44] Operation: 66-22=44
Moving to Node #0,3
Current State: 92:[67, 22, 3], Operations: ['66-63=3']
Exploring Operation: 67+22=89, Resulting Numbers: [3, 89]
Generated Node #0,3,0: 92:[3, 89] Operation: 67+22=89
Exploring Operation: 67-3=64, Resulting Numbers: [22, 64]
Generated Node #0,3,1: 92:[22, 64] Operation: 67-3=64
Exploring Operation: 67+3=70, Resulting Numbers: [22, 70]
Generated Node #0,3,2: 92:[22, 70] Operation: 67+3=70
Exploring Operation: 67-22=45, Resulting Numbers: [3, 45]
Generated Node #0,3,3: 92:[3, 45] Operation: 67-22=45
Moving to Node #0,2
Current State: 92:[66, 63, 45], Operations: ['67-22=45']
Exploring Operation: 66-45=21, Resulting Numbers: [63, 21]
Generated Node #0,2,0: 92:[63, 21] Operation: 66-45=21
Exploring Operation: 66+45=111, Resulting Numbers: [63, 111]
Generated Node #0,2,1: 92:[63, 111] Operation: 66+45=111
Exploring Operation: 66-63=3, Resulting Numbers: [45, 3]
Generated Node #0,2,2: 92:[45, 3] Operation: 66-63=3
Exploring Operation: 63-45=18, Resulting Numbers: [66, 18]
Generated Node #0,2,3: 92:[66, 18] Operation: 63-45=18
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[45, 3], Operations: ['67-22=45', '66-63=3']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 45*3=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 92:[63, 21], Operations: ['67-22=45', '66-45=21']
Exploring Operation: 63/21=3, Resulting Numbers: [3]
3,92 unequal: No Solution
Exploring Operation: 63*21=1323, Resulting Numbers: [1323]
1323,92 unequal: No Solution
Exploring Operation: 63+21=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 92:[66, 18], Operations: ['67-22=45', '63-45=18']
Exploring Operation: 66+18=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Exploring Operation: 66*18=1188, Resulting Numbers: [1188]
1188,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 92:[63, 111], Operations: ['67-22=45', '66+45=111']
Exploring Operation: 63*111=6993, Resulting Numbers: [6993]
6993,92 unequal: No Solution
Exploring Operation: 63+111=174, Resulting Numbers: [174]
174,92 unequal: No Solution
Exploring Operation: 111-63=48, Resulting Numbers: [48]
48,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 92:[4, 3], Operations: ['67-63=4', '66/22=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[4, 44], Operations: ['67-63=4', '66-22=44']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 4*44=176, Resulting Numbers: [176]
176,92 unequal: No Solution
Exploring Operation: 4+44=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[3, 45], Operations: ['66-63=3', '67-22=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 3*45=135, Resulting Numbers: [135]
135,92 unequal: No Solution
Exploring Operation: 3+45=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[4, 88], Operations: ['67-63=4', '66+22=88']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 4*88=352, Resulting Numbers: [352]
352,92 unequal: No Solution
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[67, 66, 63, 22], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [66, 22, 4]
Generated Node #0,0: 92:[66, 22, 4] Operation: 67-63=4
Moving to Node #0,0
Current State: 92:[66, 22, 4], Operations: ['67-63=4']
Exploring Operation: 66+22=88, Resulting Numbers: [4, 88]
Generated Node #0,0,2: 92:[4, 88] Operation: 66+22=88
Moving to Node #0,0,2
Current State: 92:[4, 88], Operations: ['67-63=4', '66+22=88']
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.94184 |
hs_4
|
mult_heuristic
|
[
39,
46,
92,
73
] | 12 |
[
"46-39=7",
"92-73=19",
"19-7=12"
] |
Current State: 12:[39, 46, 92, 73], Operations: []
Exploring Operation: 46-39=7, Resulting Numbers: [92, 73, 7]
Generated Node #2: [92, 73, 7] from Operation: 46-39=7
Current State: 12:[92, 73, 7], Operations: ['46-39=7']
Exploring Operation: 92-73=19, Resulting Numbers: [7, 19]
Generated Node #3: [7, 19] from Operation: 92-73=19
Current State: 12:[7, 19], Operations: ['46-39=7', '92-73=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
Current State: 12:[39, 46, 92, 73], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [39, 46, 19]
Generated Node #0,0: 12:[39, 46, 19] Operation: 92-73=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[39, 46, 19], Operations: ['92-73=19']
Exploring Operation: 46-39=7, Resulting Numbers: [19, 7]
Generated Node #0,0,0: 12:[19, 7] Operation: 46-39=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[19, 7], Operations: ['92-73=19', '46-39=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[39, 46, 92, 73], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [39, 46, 19]
Generated Node #0,0: 12:[39, 46, 19] Operation: 92-73=19
Moving to Node #0,0
Current State: 12:[39, 46, 19], Operations: ['92-73=19']
Exploring Operation: 46-39=7, Resulting Numbers: [19, 7]
Generated Node #0,0,0: 12:[19, 7] Operation: 46-39=7
Moving to Node #0,0,0
Current State: 12:[19, 7], Operations: ['92-73=19', '46-39=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
62,
20,
19,
67
] | 34 |
[
"62+20=82",
"67-19=48",
"82-48=34"
] |
Current State: 34:[62, 20, 19, 67], Operations: []
Exploring Operation: 62+20=82, Resulting Numbers: [19, 67, 82]
Generated Node #2: [19, 67, 82] from Operation: 62+20=82
Current State: 34:[19, 67, 82], Operations: ['62+20=82']
Exploring Operation: 67-19=48, Resulting Numbers: [82, 48]
Generated Node #3: [82, 48] from Operation: 67-19=48
Current State: 34:[82, 48], Operations: ['62+20=82', '67-19=48']
Exploring Operation: 82-48=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[62, 20, 19, 67], Operations: []
Exploring Operation: 67-20=47, Resulting Numbers: [62, 19, 47]
Generated Node #0,0: 34:[62, 19, 47] Operation: 67-20=47
Exploring Operation: 67-62=5, Resulting Numbers: [20, 19, 5]
Generated Node #0,1: 34:[20, 19, 5] Operation: 67-62=5
Exploring Operation: 62-20=42, Resulting Numbers: [19, 67, 42]
Generated Node #0,2: 34:[19, 67, 42] Operation: 62-20=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[20, 19, 5], Operations: ['67-62=5']
Exploring Operation: 20-5=15, Resulting Numbers: [19, 15]
Generated Node #0,1,0: 34:[19, 15] Operation: 20-5=15
Exploring Operation: 20/5=4, Resulting Numbers: [19, 4]
Generated Node #0,1,1: 34:[19, 4] Operation: 20/5=4
Exploring Operation: 20-19=1, Resulting Numbers: [5, 1]
Generated Node #0,1,2: 34:[5, 1] Operation: 20-19=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 34:[19, 15], Operations: ['67-62=5', '20-5=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[62, 20, 19, 67], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [20, 19, 5]
Generated Node #0,1: 34:[20, 19, 5] Operation: 67-62=5
Moving to Node #0,1
Current State: 34:[20, 19, 5], Operations: ['67-62=5']
Exploring Operation: 20-5=15, Resulting Numbers: [19, 15]
Generated Node #0,1,0: 34:[19, 15] Operation: 20-5=15
Moving to Node #0,1,0
Current State: 34:[19, 15], Operations: ['67-62=5', '20-5=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 |
hs_3
|
mult_heuristic
|
[
76,
82,
35,
27
] | 54 |
[
"76-35=41",
"82*27=2214",
"2214/41=54"
] |
Current State: 54:[76, 82, 35, 27], Operations: []
Exploring Operation: 76-35=41, Resulting Numbers: [82, 27, 41]
Generated Node #2: [82, 27, 41] from Operation: 76-35=41
Current State: 54:[82, 27, 41], Operations: ['76-35=41']
Exploring Operation: 82*27=2214, Resulting Numbers: [41, 2214]
Generated Node #3: [41, 2214] from Operation: 82*27=2214
Current State: 54:[41, 2214], Operations: ['76-35=41', '82*27=2214']
Exploring Operation: 2214/41=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[76, 82, 35, 27], Operations: []
Exploring Operation: 82-76=6, Resulting Numbers: [35, 27, 6]
Generated Node #0,0: 54:[35, 27, 6] Operation: 82-76=6
Exploring Operation: 82-35=47, Resulting Numbers: [76, 27, 47]
Generated Node #0,1: 54:[76, 27, 47] Operation: 82-35=47
Moving to Node #0,0
Current State: 54:[35, 27, 6], Operations: ['82-76=6']
Exploring Operation: 35-6=29, Resulting Numbers: [27, 29]
Generated Node #0,0,0: 54:[27, 29] Operation: 35-6=29
Exploring Operation: 35-27=8, Resulting Numbers: [6, 8]
Generated Node #0,0,1: 54:[6, 8] Operation: 35-27=8
Moving to Node #0,1
Current State: 54:[76, 27, 47], Operations: ['82-35=47']
Exploring Operation: 76-47=29, Resulting Numbers: [27, 29]
Generated Node #0,1,0: 54:[27, 29] Operation: 76-47=29
Exploring Operation: 76-27=49, Resulting Numbers: [47, 49]
Generated Node #0,1,1: 54:[47, 49] Operation: 76-27=49
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 54:[27, 29], Operations: ['82-35=47', '76-47=29']
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 27+29=56, Resulting Numbers: [56]
56,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[47, 49], Operations: ['82-35=47', '76-27=49']
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 54:[6, 8], Operations: ['82-76=6', '35-27=8']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[27, 29], Operations: ['82-76=6', '35-6=29']
Exploring Operation: 27+29=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,54 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
59,
47,
55,
29
] | 72 |
[
"59-47=12",
"55+29=84",
"84-12=72"
] |
Current State: 72:[59, 47, 55, 29], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [55, 29, 12]
Generated Node #2: [55, 29, 12] from Operation: 59-47=12
Current State: 72:[55, 29, 12], Operations: ['59-47=12']
Exploring Operation: 55+29=84, Resulting Numbers: [12, 84]
Generated Node #3: [12, 84] from Operation: 55+29=84
Current State: 72:[12, 84], Operations: ['59-47=12', '55+29=84']
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[59, 47, 55, 29], Operations: []
Exploring Operation: 59-55=4, Resulting Numbers: [47, 29, 4]
Generated Node #0,0: 72:[47, 29, 4] Operation: 59-55=4
Exploring Operation: 59-47=12, Resulting Numbers: [55, 29, 12]
Generated Node #0,1: 72:[55, 29, 12] Operation: 59-47=12
Exploring Operation: 55-47=8, Resulting Numbers: [59, 29, 8]
Generated Node #0,2: 72:[59, 29, 8] Operation: 55-47=8
Exploring Operation: 55-29=26, Resulting Numbers: [59, 47, 26]
Generated Node #0,3: 72:[59, 47, 26] Operation: 55-29=26
Moving to Node #0,0
Current State: 72:[47, 29, 4], Operations: ['59-55=4']
Exploring Operation: 47-4=43, Resulting Numbers: [29, 43]
Generated Node #0,0,0: 72:[29, 43] Operation: 47-4=43
Exploring Operation: 47+29=76, Resulting Numbers: [4, 76]
Generated Node #0,0,1: 72:[4, 76] Operation: 47+29=76
Exploring Operation: 47-29=18, Resulting Numbers: [4, 18]
Generated Node #0,0,2: 72:[4, 18] Operation: 47-29=18
Exploring Operation: 29-4=25, Resulting Numbers: [47, 25]
Generated Node #0,0,3: 72:[47, 25] Operation: 29-4=25
Moving to Node #0,2
Current State: 72:[59, 29, 8], Operations: ['55-47=8']
Exploring Operation: 59+29=88, Resulting Numbers: [8, 88]
Generated Node #0,2,0: 72:[8, 88] Operation: 59+29=88
Exploring Operation: 29+8=37, Resulting Numbers: [59, 37]
Generated Node #0,2,1: 72:[59, 37] Operation: 29+8=37
Exploring Operation: 59-29=30, Resulting Numbers: [8, 30]
Generated Node #0,2,2: 72:[8, 30] Operation: 59-29=30
Exploring Operation: 59+8=67, Resulting Numbers: [29, 67]
Generated Node #0,2,3: 72:[29, 67] Operation: 59+8=67
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[8, 30], Operations: ['55-47=8', '59-29=30']
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 8*30=240, Resulting Numbers: [240]
240,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 72:[29, 67], Operations: ['55-47=8', '59+8=67']
Exploring Operation: 29+67=96, Resulting Numbers: [96]
96,72 unequal: No Solution
Exploring Operation: 29*67=1943, Resulting Numbers: [1943]
1943,72 unequal: No Solution
Exploring Operation: 67-29=38, Resulting Numbers: [38]
38,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[59, 37], Operations: ['55-47=8', '29+8=37']
Exploring Operation: 59+37=96, Resulting Numbers: [96]
96,72 unequal: No Solution
Exploring Operation: 59*37=2183, Resulting Numbers: [2183]
2183,72 unequal: No Solution
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[8, 88], Operations: ['55-47=8', '59+29=88']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,72 unequal: No Solution
Exploring Operation: 8*88=704, Resulting Numbers: [704]
704,72 unequal: No Solution
Exploring Operation: 8+88=96, Resulting Numbers: [96]
96,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 72:[55, 29, 12], Operations: ['59-47=12']
Exploring Operation: 55+29=84, Resulting Numbers: [12, 84]
Generated Node #0,1,0: 72:[12, 84] Operation: 55+29=84
Exploring Operation: 55+12=67, Resulting Numbers: [29, 67]
Generated Node #0,1,1: 72:[29, 67] Operation: 55+12=67
Exploring Operation: 55-29=26, Resulting Numbers: [12, 26]
Generated Node #0,1,2: 72:[12, 26] Operation: 55-29=26
Exploring Operation: 55-12=43, Resulting Numbers: [29, 43]
Generated Node #0,1,3: 72:[29, 43] Operation: 55-12=43
Moving to Node #0,3
Current State: 72:[59, 47, 26], Operations: ['55-29=26']
Exploring Operation: 47-26=21, Resulting Numbers: [59, 21]
Generated Node #0,3,0: 72:[59, 21] Operation: 47-26=21
Exploring Operation: 47+26=73, Resulting Numbers: [59, 73]
Generated Node #0,3,1: 72:[59, 73] Operation: 47+26=73
Exploring Operation: 59-47=12, Resulting Numbers: [26, 12]
Generated Node #0,3,2: 72:[26, 12] Operation: 59-47=12
Exploring Operation: 59-26=33, Resulting Numbers: [47, 33]
Generated Node #0,3,3: 72:[47, 33] Operation: 59-26=33
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 72:[26, 12], Operations: ['55-29=26', '59-47=12']
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Exploring Operation: 26*12=312, Resulting Numbers: [312]
312,72 unequal: No Solution
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 72:[59, 73], Operations: ['55-29=26', '47+26=73']
Exploring Operation: 59*73=4307, Resulting Numbers: [4307]
4307,72 unequal: No Solution
Exploring Operation: 73-59=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 59+73=132, Resulting Numbers: [132]
132,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 72:[47, 33], Operations: ['55-29=26', '59-26=33']
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,72 unequal: No Solution
Exploring Operation: 47*33=1551, Resulting Numbers: [1551]
1551,72 unequal: No Solution
Exploring Operation: 47+33=80, Resulting Numbers: [80]
80,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 72:[59, 21], Operations: ['55-29=26', '47-26=21']
Exploring Operation: 59-21=38, Resulting Numbers: [38]
38,72 unequal: No Solution
Exploring Operation: 59*21=1239, Resulting Numbers: [1239]
1239,72 unequal: No Solution
Exploring Operation: 59+21=80, Resulting Numbers: [80]
80,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 72:[4, 18], Operations: ['59-55=4', '47-29=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[59, 47, 55, 29], Operations: []
Exploring Operation: 59-55=4, Resulting Numbers: [47, 29, 4]
Generated Node #0,0: 72:[47, 29, 4] Operation: 59-55=4
Moving to Node #0,0
Current State: 72:[47, 29, 4], Operations: ['59-55=4']
Exploring Operation: 47-29=18, Resulting Numbers: [4, 18]
Generated Node #0,0,2: 72:[4, 18] Operation: 47-29=18
Moving to Node #0,0,2
Current State: 72:[4, 18], Operations: ['59-55=4', '47-29=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.956597 |
hs_4
|
mult_heuristic
|
[
10,
6,
36,
28
] | 80 |
[
"10+6=16",
"36+28=64",
"16+64=80"
] |
Current State: 80:[10, 6, 36, 28], Operations: []
Exploring Operation: 10+6=16, Resulting Numbers: [36, 28, 16]
Generated Node #2: [36, 28, 16] from Operation: 10+6=16
Current State: 80:[36, 28, 16], Operations: ['10+6=16']
Exploring Operation: 36+28=64, Resulting Numbers: [16, 64]
Generated Node #3: [16, 64] from Operation: 36+28=64
Current State: 80:[16, 64], Operations: ['10+6=16', '36+28=64']
Exploring Operation: 16+64=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
Current State: 80:[10, 6, 36, 28], Operations: []
Exploring Operation: 28-6=22, Resulting Numbers: [10, 36, 22]
Generated Node #0,0: 80:[10, 36, 22] Operation: 28-6=22
Exploring Operation: 36-28=8, Resulting Numbers: [10, 6, 8]
Generated Node #0,1: 80:[10, 6, 8] Operation: 36-28=8
Exploring Operation: 10+28=38, Resulting Numbers: [6, 36, 38]
Generated Node #0,2: 80:[6, 36, 38] Operation: 10+28=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[10, 6, 8], Operations: ['36-28=8']
Exploring Operation: 10-6=4, Resulting Numbers: [8, 4]
Generated Node #0,1,0: 80:[8, 4] Operation: 10-6=4
Exploring Operation: 8-6=2, Resulting Numbers: [10, 2]
Generated Node #0,1,1: 80:[10, 2] Operation: 8-6=2
Exploring Operation: 10+6=16, Resulting Numbers: [8, 16]
Generated Node #0,1,2: 80:[8, 16] Operation: 10+6=16
Moving to Node #0,1,0
Current State: 80:[8, 4], Operations: ['36-28=8', '10-6=4']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[10, 2], Operations: ['36-28=8', '8-6=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[8, 16], Operations: ['36-28=8', '10+6=16']
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 8+16=24, Resulting Numbers: [24]
24,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[10, 36, 22], Operations: ['28-6=22']
Exploring Operation: 10+36=46, Resulting Numbers: [22, 46]
Generated Node #0,0,0: 80:[22, 46] Operation: 10+36=46
Exploring Operation: 36-22=14, Resulting Numbers: [10, 14]
Generated Node #0,0,1: 80:[10, 14] Operation: 36-22=14
Exploring Operation: 22-10=12, Resulting Numbers: [36, 12]
Generated Node #0,0,2: 80:[36, 12] Operation: 22-10=12
Moving to Node #0,0,1
Current State: 80:[10, 14], Operations: ['28-6=22', '36-22=14']
Exploring Operation: 10*14=140, Resulting Numbers: [140]
140,80 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[36, 12], Operations: ['28-6=22', '22-10=12']
Exploring Operation: 36+12=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,80 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[22, 46], Operations: ['28-6=22', '10+36=46']
Exploring Operation: 22*46=1012, Resulting Numbers: [1012]
1012,80 unequal: No Solution
Exploring Operation: 22+46=68, Resulting Numbers: [68]
68,80 unequal: No Solution
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[6, 36, 38], Operations: ['10+28=38']
Exploring Operation: 6+36=42, Resulting Numbers: [38, 42]
Generated Node #0,2,0: 80:[38, 42] Operation: 6+36=42
Exploring Operation: 38-36=2, Resulting Numbers: [6, 2]
Generated Node #0,2,1: 80:[6, 2] Operation: 38-36=2
Exploring Operation: 36/6=6, Resulting Numbers: [38, 6]
Generated Node #0,2,2: 80:[38, 6] Operation: 36/6=6
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 80:[6, 2], Operations: ['10+28=38', '38-36=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 80:[38, 6], Operations: ['10+28=38', '36/6=6']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,80 unequal: No Solution
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,80 unequal: No Solution
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 80:[38, 42], Operations: ['10+28=38', '6+36=42']
Exploring Operation: 38+42=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[10, 6, 36, 28], Operations: []
Exploring Operation: 10+28=38, Resulting Numbers: [6, 36, 38]
Generated Node #0,2: 80:[6, 36, 38] Operation: 10+28=38
Moving to Node #0,2
Current State: 80:[6, 36, 38], Operations: ['10+28=38']
Exploring Operation: 6+36=42, Resulting Numbers: [38, 42]
Generated Node #0,2,0: 80:[38, 42] Operation: 6+36=42
Moving to Node #0,2,0
Current State: 80:[38, 42], Operations: ['10+28=38', '6+36=42']
Exploring Operation: 38+42=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96441 |
hs_3
|
sum_heuristic
|
[
58,
40,
16,
42
] | 84 |
[
"58-40=18",
"18-16=2",
"42*2=84"
] |
Current State: 84:[58, 40, 16, 42], Operations: []
Exploring Operation: 58-40=18, Resulting Numbers: [16, 42, 18]
Generated Node #2: [16, 42, 18] from Operation: 58-40=18
Current State: 84:[16, 42, 18], Operations: ['58-40=18']
Exploring Operation: 18-16=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 18-16=2
Current State: 84:[42, 2], Operations: ['58-40=18', '18-16=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[58, 40, 16, 42], Operations: []
Exploring Operation: 58+16=74, Resulting Numbers: [40, 42, 74]
Generated Node #0,0: 84:[40, 42, 74] Operation: 58+16=74
Exploring Operation: 58-16=42, Resulting Numbers: [40, 42, 42]
Generated Node #0,1: 84:[40, 42, 42] Operation: 58-16=42
Exploring Operation: 58-40=18, Resulting Numbers: [16, 42, 18]
Generated Node #0,2: 84:[16, 42, 18] Operation: 58-40=18
Exploring Operation: 58-42=16, Resulting Numbers: [40, 16, 16]
Generated Node #0,3: 84:[40, 16, 16] Operation: 58-42=16
Exploring Operation: 58+40=98, Resulting Numbers: [16, 42, 98]
Generated Node #0,4: 84:[16, 42, 98] Operation: 58+40=98
Moving to Node #0,1
Current State: 84:[40, 42, 42], Operations: ['58-16=42']
Exploring Operation: 42+42=84, Resulting Numbers: [40, 84]
Generated Node #0,1,0: 84:[40, 84] Operation: 42+42=84
Exploring Operation: 42-40=2, Resulting Numbers: [42, 2]
Generated Node #0,1,1: 84:[42, 2] Operation: 42-40=2
Exploring Operation: 40+42=82, Resulting Numbers: [42, 82]
Generated Node #0,1,2: 84:[42, 82] Operation: 40+42=82
Exploring Operation: 42-40=2, Resulting Numbers: [42, 2]
Generated Node #0,1,3: 84:[42, 2] Operation: 42-40=2
Exploring Operation: 40+42=82, Resulting Numbers: [42, 82]
Generated Node #0,1,4: 84:[42, 82] Operation: 40+42=82
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[42, 2], Operations: ['58-16=42', '42-40=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[58, 40, 16, 42], Operations: []
Exploring Operation: 58-16=42, Resulting Numbers: [40, 42, 42]
Generated Node #0,1: 84:[40, 42, 42] Operation: 58-16=42
Moving to Node #0,1
Current State: 84:[40, 42, 42], Operations: ['58-16=42']
Exploring Operation: 42-40=2, Resulting Numbers: [42, 2]
Generated Node #0,1,1: 84:[42, 2] Operation: 42-40=2
Moving to Node #0,1,1
Current State: 84:[42, 2], Operations: ['58-16=42', '42-40=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_5
|
mult_heuristic
|
[
35,
45,
82,
25
] | 97 |
[
"45-35=10",
"82+25=107",
"107-10=97"
] |
Current State: 97:[35, 45, 82, 25], Operations: []
Exploring Operation: 45-35=10, Resulting Numbers: [82, 25, 10]
Generated Node #2: [82, 25, 10] from Operation: 45-35=10
Current State: 97:[82, 25, 10], Operations: ['45-35=10']
Exploring Operation: 82+25=107, Resulting Numbers: [10, 107]
Generated Node #3: [10, 107] from Operation: 82+25=107
Current State: 97:[10, 107], Operations: ['45-35=10', '82+25=107']
Exploring Operation: 107-10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[35, 45, 82, 25], Operations: []
Exploring Operation: 35+25=60, Resulting Numbers: [45, 82, 60]
Generated Node #0,0: 97:[45, 82, 60] Operation: 35+25=60
Exploring Operation: 35+45=80, Resulting Numbers: [82, 25, 80]
Generated Node #0,1: 97:[82, 25, 80] Operation: 35+45=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[45, 82, 60], Operations: ['35+25=60']
Exploring Operation: 45+82=127, Resulting Numbers: [60, 127]
Generated Node #0,0,0: 97:[60, 127] Operation: 45+82=127
Exploring Operation: 45+60=105, Resulting Numbers: [82, 105]
Generated Node #0,0,1: 97:[82, 105] Operation: 45+60=105
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[82, 105], Operations: ['35+25=60', '45+60=105']
Exploring Operation: 82+105=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Exploring Operation: 105-82=23, Resulting Numbers: [23]
23,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[60, 127], Operations: ['35+25=60', '45+82=127']
Exploring Operation: 127-60=67, Resulting Numbers: [67]
67,97 unequal: No Solution
Exploring Operation: 60+127=187, Resulting Numbers: [187]
187,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[82, 25, 80], Operations: ['35+45=80']
Exploring Operation: 25+80=105, Resulting Numbers: [82, 105]
Generated Node #0,1,0: 97:[82, 105] Operation: 25+80=105
Exploring Operation: 82+25=107, Resulting Numbers: [80, 107]
Generated Node #0,1,1: 97:[80, 107] Operation: 82+25=107
Moving to Node #0,1,0
Current State: 97:[82, 105], Operations: ['35+45=80', '25+80=105']
Exploring Operation: 82+105=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Exploring Operation: 105-82=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[80, 107], Operations: ['35+45=80', '82+25=107']
Exploring Operation: 107-80=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 80+107=187, Resulting Numbers: [187]
187,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
82,
60,
59,
2
] | 12 |
[
"82+60=142",
"142/2=71",
"71-59=12"
] |
Current State: 12:[82, 60, 59, 2], Operations: []
Exploring Operation: 82+60=142, Resulting Numbers: [59, 2, 142]
Generated Node #2: [59, 2, 142] from Operation: 82+60=142
Current State: 12:[59, 2, 142], Operations: ['82+60=142']
Exploring Operation: 142/2=71, Resulting Numbers: [59, 71]
Generated Node #3: [59, 71] from Operation: 142/2=71
Current State: 12:[59, 71], Operations: ['82+60=142', '142/2=71']
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
Current State: 12:[82, 60, 59, 2], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [59, 2, 22]
Generated Node #0,0: 12:[59, 2, 22] Operation: 82-60=22
Exploring Operation: 60-59=1, Resulting Numbers: [82, 2, 1]
Generated Node #0,1: 12:[82, 2, 1] Operation: 60-59=1
Exploring Operation: 82-59=23, Resulting Numbers: [60, 2, 23]
Generated Node #0,2: 12:[60, 2, 23] Operation: 82-59=23
Exploring Operation: 60/2=30, Resulting Numbers: [82, 59, 30]
Generated Node #0,3: 12:[82, 59, 30] Operation: 60/2=30
Exploring Operation: 82/2=41, Resulting Numbers: [60, 59, 41]
Generated Node #0,4: 12:[60, 59, 41] Operation: 82/2=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[59, 2, 22], Operations: ['82-60=22']
Exploring Operation: 59-2=57, Resulting Numbers: [22, 57]
Generated Node #0,0,0: 12:[22, 57] Operation: 59-2=57
Exploring Operation: 59+2=61, Resulting Numbers: [22, 61]
Generated Node #0,0,1: 12:[22, 61] Operation: 59+2=61
Exploring Operation: 22/2=11, Resulting Numbers: [59, 11]
Generated Node #0,0,2: 12:[59, 11] Operation: 22/2=11
Exploring Operation: 59-22=37, Resulting Numbers: [2, 37]
Generated Node #0,0,3: 12:[2, 37] Operation: 59-22=37
Exploring Operation: 22-2=20, Resulting Numbers: [59, 20]
Generated Node #0,0,4: 12:[59, 20] Operation: 22-2=20
Moving to Node #0,0,3
Current State: 12:[2, 37], Operations: ['82-60=22', '59-22=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,12 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Moving to Node #0,0,2
Current State: 12:[59, 11], Operations: ['82-60=22', '22/2=11']
Exploring Operation: 59*11=649, Resulting Numbers: [649]
649,12 unequal: No Solution
Exploring Operation: 59+11=70, Resulting Numbers: [70]
70,12 unequal: No Solution
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[22, 57], Operations: ['82-60=22', '59-2=57']
Exploring Operation: 22+57=79, Resulting Numbers: [79]
79,12 unequal: No Solution
Exploring Operation: 22*57=1254, Resulting Numbers: [1254]
1254,12 unequal: No Solution
Exploring Operation: 57-22=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Moving to Node #0,0,4
Current State: 12:[59, 20], Operations: ['82-60=22', '22-2=20']
Exploring Operation: 59*20=1180, Resulting Numbers: [1180]
1180,12 unequal: No Solution
Exploring Operation: 59+20=79, Resulting Numbers: [79]
79,12 unequal: No Solution
Exploring Operation: 59-20=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[22, 61], Operations: ['82-60=22', '59+2=61']
Exploring Operation: 61-22=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 22*61=1342, Resulting Numbers: [1342]
1342,12 unequal: No Solution
Exploring Operation: 22+61=83, Resulting Numbers: [83]
83,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[60, 2, 23], Operations: ['82-59=23']
Exploring Operation: 60+2=62, Resulting Numbers: [23, 62]
Generated Node #0,2,0: 12:[23, 62] Operation: 60+2=62
Exploring Operation: 60/2=30, Resulting Numbers: [23, 30]
Generated Node #0,2,1: 12:[23, 30] Operation: 60/2=30
Exploring Operation: 60-23=37, Resulting Numbers: [2, 37]
Generated Node #0,2,2: 12:[2, 37] Operation: 60-23=37
Exploring Operation: 60-2=58, Resulting Numbers: [23, 58]
Generated Node #0,2,3: 12:[23, 58] Operation: 60-2=58
Exploring Operation: 23-2=21, Resulting Numbers: [60, 21]
Generated Node #0,2,4: 12:[60, 21] Operation: 23-2=21
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 12:[2, 37], Operations: ['82-59=23', '60-23=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,12 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 12:[23, 30], Operations: ['82-59=23', '60/2=30']
Exploring Operation: 23*30=690, Resulting Numbers: [690]
690,12 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Exploring Operation: 23+30=53, Resulting Numbers: [53]
53,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 12:[23, 58], Operations: ['82-59=23', '60-2=58']
Exploring Operation: 23*58=1334, Resulting Numbers: [1334]
1334,12 unequal: No Solution
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 23+58=81, Resulting Numbers: [81]
81,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 12:[60, 21], Operations: ['82-59=23', '23-2=21']
Exploring Operation: 60+21=81, Resulting Numbers: [81]
81,12 unequal: No Solution
Exploring Operation: 60*21=1260, Resulting Numbers: [1260]
1260,12 unequal: No Solution
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 12:[23, 62], Operations: ['82-59=23', '60+2=62']
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 23*62=1426, Resulting Numbers: [1426]
1426,12 unequal: No Solution
Exploring Operation: 23+62=85, Resulting Numbers: [85]
85,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[82, 2, 1], Operations: ['60-59=1']
Exploring Operation: 82/1=82, Resulting Numbers: [2, 82]
Generated Node #0,1,0: 12:[2, 82] Operation: 82/1=82
Exploring Operation: 82-2=80, Resulting Numbers: [1, 80]
Generated Node #0,1,1: 12:[1, 80] Operation: 82-2=80
Exploring Operation: 82/2=41, Resulting Numbers: [1, 41]
Generated Node #0,1,2: 12:[1, 41] Operation: 82/2=41
Exploring Operation: 82*1=82, Resulting Numbers: [2, 82]
Generated Node #0,1,3: 12:[2, 82] Operation: 82*1=82
Exploring Operation: 82-1=81, Resulting Numbers: [2, 81]
Generated Node #0,1,4: 12:[2, 81] Operation: 82-1=81
Moving to Node #0,1,2
Current State: 12:[1, 41], Operations: ['60-59=1', '82/2=41']
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,12 unequal: No Solution
Exploring Operation: 1+41=42, Resulting Numbers: [42]
42,12 unequal: No Solution
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,12 unequal: No Solution
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,12 unequal: No Solution
Moving to Node #0,1,4
Current State: 12:[2, 81], Operations: ['60-59=1', '82-1=81']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,12 unequal: No Solution
Exploring Operation: 2*81=162, Resulting Numbers: [162]
162,12 unequal: No Solution
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[1, 80], Operations: ['60-59=1', '82-2=80']
Exploring Operation: 1+80=81, Resulting Numbers: [81]
81,12 unequal: No Solution
Exploring Operation: 1*80=80, Resulting Numbers: [80]
80,12 unequal: No Solution
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,12 unequal: No Solution
Exploring Operation: 80/1=80, Resulting Numbers: [80]
80,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[2, 82], Operations: ['60-59=1', '82/1=82']
Exploring Operation: 2*82=164, Resulting Numbers: [164]
164,12 unequal: No Solution
Exploring Operation: 2+82=84, Resulting Numbers: [84]
84,12 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,12 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,12 unequal: No Solution
Moving to Node #0,1,3
Current State: 12:[2, 82], Operations: ['60-59=1', '82*1=82']
Exploring Operation: 2+82=84, Resulting Numbers: [84]
84,12 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,12 unequal: No Solution
Exploring Operation: 2*82=164, Resulting Numbers: [164]
164,12 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 12:[60, 59, 41], Operations: ['82/2=41']
Exploring Operation: 60-59=1, Resulting Numbers: [41, 1]
Generated Node #0,4,0: 12:[41, 1] Operation: 60-59=1
Exploring Operation: 60-41=19, Resulting Numbers: [59, 19]
Generated Node #0,4,1: 12:[59, 19] Operation: 60-41=19
Exploring Operation: 60+41=101, Resulting Numbers: [59, 101]
Generated Node #0,4,2: 12:[59, 101] Operation: 60+41=101
Exploring Operation: 59-41=18, Resulting Numbers: [60, 18]
Generated Node #0,4,3: 12:[60, 18] Operation: 59-41=18
Exploring Operation: 60+59=119, Resulting Numbers: [41, 119]
Generated Node #0,4,4: 12:[41, 119] Operation: 60+59=119
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 12:[41, 1], Operations: ['82/2=41', '60-59=1']
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,12 unequal: No Solution
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,12 unequal: No Solution
Exploring Operation: 41+1=42, Resulting Numbers: [42]
42,12 unequal: No Solution
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 12:[59, 19], Operations: ['82/2=41', '60-41=19']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,12 unequal: No Solution
Exploring Operation: 59+19=78, Resulting Numbers: [78]
78,12 unequal: No Solution
Exploring Operation: 59*19=1121, Resulting Numbers: [1121]
1121,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 12:[60, 18], Operations: ['82/2=41', '59-41=18']
Exploring Operation: 60+18=78, Resulting Numbers: [78]
78,12 unequal: No Solution
Exploring Operation: 60*18=1080, Resulting Numbers: [1080]
1080,12 unequal: No Solution
Exploring Operation: 60-18=42, Resulting Numbers: [42]
42,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 12:[59, 101], Operations: ['82/2=41', '60+41=101']
Exploring Operation: 59*101=5959, Resulting Numbers: [5959]
5959,12 unequal: No Solution
Exploring Operation: 101-59=42, Resulting Numbers: [42]
42,12 unequal: No Solution
Exploring Operation: 59+101=160, Resulting Numbers: [160]
160,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 12:[41, 119], Operations: ['82/2=41', '60+59=119']
Exploring Operation: 119-41=78, Resulting Numbers: [78]
78,12 unequal: No Solution
Exploring Operation: 41*119=4879, Resulting Numbers: [4879]
4879,12 unequal: No Solution
Exploring Operation: 41+119=160, Resulting Numbers: [160]
160,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[82, 59, 30], Operations: ['60/2=30']
Exploring Operation: 82+59=141, Resulting Numbers: [30, 141]
Generated Node #0,3,0: 12:[30, 141] Operation: 82+59=141
Exploring Operation: 82-59=23, Resulting Numbers: [30, 23]
Generated Node #0,3,1: 12:[30, 23] Operation: 82-59=23
Exploring Operation: 82+30=112, Resulting Numbers: [59, 112]
Generated Node #0,3,2: 12:[59, 112] Operation: 82+30=112
Exploring Operation: 82-30=52, Resulting Numbers: [59, 52]
Generated Node #0,3,3: 12:[59, 52] Operation: 82-30=52
Exploring Operation: 59-30=29, Resulting Numbers: [82, 29]
Generated Node #0,3,4: 12:[82, 29] Operation: 59-30=29
Moving to Node #0,3,1
Current State: 12:[30, 23], Operations: ['60/2=30', '82-59=23']
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 30*23=690, Resulting Numbers: [690]
690,12 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Moving to Node #0,3,4
Current State: 12:[82, 29], Operations: ['60/2=30', '59-30=29']
Exploring Operation: 82-29=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 82*29=2378, Resulting Numbers: [2378]
2378,12 unequal: No Solution
Exploring Operation: 82+29=111, Resulting Numbers: [111]
111,12 unequal: No Solution
Moving to Node #0,3,3
Current State: 12:[59, 52], Operations: ['60/2=30', '82-30=52']
Exploring Operation: 59*52=3068, Resulting Numbers: [3068]
3068,12 unequal: No Solution
Exploring Operation: 59+52=111, Resulting Numbers: [111]
111,12 unequal: No Solution
Exploring Operation: 59-52=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Moving to Node #0,3,0
Current State: 12:[30, 141], Operations: ['60/2=30', '82+59=141']
Exploring Operation: 30+141=171, Resulting Numbers: [171]
171,12 unequal: No Solution
Exploring Operation: 141-30=111, Resulting Numbers: [111]
111,12 unequal: No Solution
Exploring Operation: 30*141=4230, Resulting Numbers: [4230]
4230,12 unequal: No Solution
Moving to Node #0,3,2
Current State: 12:[59, 112], Operations: ['60/2=30', '82+30=112']
Exploring Operation: 59*112=6608, Resulting Numbers: [6608]
6608,12 unequal: No Solution
Exploring Operation: 112-59=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 59+112=171, Resulting Numbers: [171]
171,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
76,
92,
73,
76
] | 73 |
[
"76-76=0",
"92*0=0",
"73+0=73"
] |
Current State: 73:[76, 92, 73, 76], Operations: []
Exploring Operation: 76-76=0, Resulting Numbers: [92, 73, 0]
Generated Node #2: [92, 73, 0] from Operation: 76-76=0
Current State: 73:[92, 73, 0], Operations: ['76-76=0']
Exploring Operation: 92*0=0, Resulting Numbers: [73, 0]
Generated Node #3: [73, 0] from Operation: 92*0=0
Current State: 73:[73, 0], Operations: ['76-76=0', '92*0=0']
Exploring Operation: 73+0=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[76, 92, 73, 76], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [73, 76, 16]
Generated Node #0,0: 73:[73, 76, 16] Operation: 92-76=16
Exploring Operation: 92-73=19, Resulting Numbers: [76, 76, 19]
Generated Node #0,1: 73:[76, 76, 19] Operation: 92-73=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[73, 76, 16], Operations: ['92-76=16']
Exploring Operation: 76-16=60, Resulting Numbers: [73, 60]
Generated Node #0,0,0: 73:[73, 60] Operation: 76-16=60
Exploring Operation: 73+16=89, Resulting Numbers: [76, 89]
Generated Node #0,0,1: 73:[76, 89] Operation: 73+16=89
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[73, 60], Operations: ['92-76=16', '76-16=60']
Exploring Operation: 73-60=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 73+60=133, Resulting Numbers: [133]
133,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[76, 89], Operations: ['92-76=16', '73+16=89']
Exploring Operation: 89-76=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 76+89=165, Resulting Numbers: [165]
165,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[76, 76, 19], Operations: ['92-73=19']
Exploring Operation: 76-19=57, Resulting Numbers: [76, 57]
Generated Node #0,1,0: 73:[76, 57] Operation: 76-19=57
Exploring Operation: 76-19=57, Resulting Numbers: [76, 57]
Generated Node #0,1,1: 73:[76, 57] Operation: 76-19=57
Moving to Node #0,1,0
Current State: 73:[76, 57], Operations: ['92-73=19', '76-19=57']
Exploring Operation: 76+57=133, Resulting Numbers: [133]
133,73 unequal: No Solution
Exploring Operation: 76-57=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[76, 57], Operations: ['92-73=19', '76-19=57']
Exploring Operation: 76+57=133, Resulting Numbers: [133]
133,73 unequal: No Solution
Exploring Operation: 76-57=19, Resulting Numbers: [19]
19,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
20,
47,
27,
25
] | 79 |
[
"47-20=27",
"27+25=52",
"27+52=79"
] |
Current State: 79:[20, 47, 27, 25], Operations: []
Exploring Operation: 47-20=27, Resulting Numbers: [27, 25, 27]
Generated Node #2: [27, 25, 27] from Operation: 47-20=27
Current State: 79:[27, 25, 27], Operations: ['47-20=27']
Exploring Operation: 27+25=52, Resulting Numbers: [52]
52,79 equal: Goal Reached
Exploring Operation: 27+52=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
Current State: 79:[20, 47, 27, 25], Operations: []
Exploring Operation: 20+25=45, Resulting Numbers: [47, 27, 45]
Generated Node #0,0: 79:[47, 27, 45] Operation: 20+25=45
Exploring Operation: 20+47=67, Resulting Numbers: [27, 25, 67]
Generated Node #0,1: 79:[27, 25, 67] Operation: 20+47=67
Exploring Operation: 20+27=47, Resulting Numbers: [47, 25, 47]
Generated Node #0,2: 79:[47, 25, 47] Operation: 20+27=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[47, 27, 45], Operations: ['20+25=45']
Exploring Operation: 47+45=92, Resulting Numbers: [27, 92]
Generated Node #0,0,0: 79:[27, 92] Operation: 47+45=92
Exploring Operation: 47+27=74, Resulting Numbers: [45, 74]
Generated Node #0,0,1: 79:[45, 74] Operation: 47+27=74
Exploring Operation: 27+45=72, Resulting Numbers: [47, 72]
Generated Node #0,0,2: 79:[47, 72] Operation: 27+45=72
Moving to Node #0,0,1
Current State: 79:[45, 74], Operations: ['20+25=45', '47+27=74']
Exploring Operation: 74-45=29, Resulting Numbers: [29]
29,79 unequal: No Solution
Exploring Operation: 45*74=3330, Resulting Numbers: [3330]
3330,79 unequal: No Solution
Exploring Operation: 45+74=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[47, 72], Operations: ['20+25=45', '27+45=72']
Exploring Operation: 47+72=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Exploring Operation: 47*72=3384, Resulting Numbers: [3384]
3384,79 unequal: No Solution
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[27, 92], Operations: ['20+25=45', '47+45=92']
Exploring Operation: 92-27=65, Resulting Numbers: [65]
65,79 unequal: No Solution
Exploring Operation: 27+92=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Exploring Operation: 27*92=2484, Resulting Numbers: [2484]
2484,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[27, 25, 67], Operations: ['20+47=67']
Exploring Operation: 25+67=92, Resulting Numbers: [27, 92]
Generated Node #0,1,0: 79:[27, 92] Operation: 25+67=92
Exploring Operation: 27+25=52, Resulting Numbers: [67, 52]
Generated Node #0,1,1: 79:[67, 52] Operation: 27+25=52
Exploring Operation: 27+67=94, Resulting Numbers: [25, 94]
Generated Node #0,1,2: 79:[25, 94] Operation: 27+67=94
Moving to Node #0,1,1
Current State: 79:[67, 52], Operations: ['20+47=67', '27+25=52']
Exploring Operation: 67*52=3484, Resulting Numbers: [3484]
3484,79 unequal: No Solution
Exploring Operation: 67-52=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 67+52=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[27, 92], Operations: ['20+47=67', '25+67=92']
Exploring Operation: 27*92=2484, Resulting Numbers: [2484]
2484,79 unequal: No Solution
Exploring Operation: 27+92=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Exploring Operation: 92-27=65, Resulting Numbers: [65]
65,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[25, 94], Operations: ['20+47=67', '27+67=94']
Exploring Operation: 25+94=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Exploring Operation: 25*94=2350, Resulting Numbers: [2350]
2350,79 unequal: No Solution
Exploring Operation: 94-25=69, Resulting Numbers: [69]
69,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[47, 25, 47], Operations: ['20+27=47']
Exploring Operation: 47+25=72, Resulting Numbers: [47, 72]
Generated Node #0,2,0: 79:[47, 72] Operation: 47+25=72
Exploring Operation: 47+47=94, Resulting Numbers: [25, 94]
Generated Node #0,2,1: 79:[25, 94] Operation: 47+47=94
Exploring Operation: 25+47=72, Resulting Numbers: [47, 72]
Generated Node #0,2,2: 79:[47, 72] Operation: 25+47=72
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 79:[47, 72], Operations: ['20+27=47', '47+25=72']
Exploring Operation: 47*72=3384, Resulting Numbers: [3384]
3384,79 unequal: No Solution
Exploring Operation: 47+72=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 79:[47, 72], Operations: ['20+27=47', '25+47=72']
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,79 unequal: No Solution
Exploring Operation: 47+72=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Exploring Operation: 47*72=3384, Resulting Numbers: [3384]
3384,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 79:[25, 94], Operations: ['20+27=47', '47+47=94']
Exploring Operation: 25+94=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Exploring Operation: 25*94=2350, Resulting Numbers: [2350]
2350,79 unequal: No Solution
Exploring Operation: 94-25=69, Resulting Numbers: [69]
69,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
39,
41,
16,
31
] | 95 |
[
"39+41=80",
"31-16=15",
"80+15=95"
] |
Current State: 95:[39, 41, 16, 31], Operations: []
Exploring Operation: 39+41=80, Resulting Numbers: [16, 31, 80]
Generated Node #2: [16, 31, 80] from Operation: 39+41=80
Current State: 95:[16, 31, 80], Operations: ['39+41=80']
Exploring Operation: 31-16=15, Resulting Numbers: [80, 15]
Generated Node #3: [80, 15] from Operation: 31-16=15
Current State: 95:[80, 15], Operations: ['39+41=80', '31-16=15']
Exploring Operation: 80+15=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[39, 41, 16, 31], Operations: []
Exploring Operation: 39-31=8, Resulting Numbers: [41, 16, 8]
Generated Node #0,0: 95:[41, 16, 8] Operation: 39-31=8
Exploring Operation: 41-39=2, Resulting Numbers: [16, 31, 2]
Generated Node #0,1: 95:[16, 31, 2] Operation: 41-39=2
Moving to Node #0,1
Current State: 95:[16, 31, 2], Operations: ['41-39=2']
Exploring Operation: 16+2=18, Resulting Numbers: [31, 18]
Generated Node #0,1,0: 95:[31, 18] Operation: 16+2=18
Exploring Operation: 31-16=15, Resulting Numbers: [2, 15]
Generated Node #0,1,1: 95:[2, 15] Operation: 31-16=15
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[2, 15], Operations: ['41-39=2', '31-16=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[31, 18], Operations: ['41-39=2', '16+2=18']
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,95 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 95:[41, 16, 8], Operations: ['39-31=8']
Exploring Operation: 41-8=33, Resulting Numbers: [16, 33]
Generated Node #0,0,0: 95:[16, 33] Operation: 41-8=33
Exploring Operation: 41-16=25, Resulting Numbers: [8, 25]
Generated Node #0,0,1: 95:[8, 25] Operation: 41-16=25
Moving to Node #0,0,1
Current State: 95:[8, 25], Operations: ['39-31=8', '41-16=25']
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[16, 33], Operations: ['39-31=8', '41-8=33']
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,95 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,95 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
61,
3,
83,
15
] | 85 |
[
"61*3=183",
"83+15=98",
"183-98=85"
] |
Current State: 85:[61, 3, 83, 15], Operations: []
Exploring Operation: 61*3=183, Resulting Numbers: [83, 15, 183]
Generated Node #2: [83, 15, 183] from Operation: 61*3=183
Current State: 85:[83, 15, 183], Operations: ['61*3=183']
Exploring Operation: 83+15=98, Resulting Numbers: [183, 98]
Generated Node #3: [183, 98] from Operation: 83+15=98
Current State: 85:[183, 98], Operations: ['61*3=183', '83+15=98']
Exploring Operation: 183-98=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
Current State: 85:[61, 3, 83, 15], Operations: []
Exploring Operation: 83-61=22, Resulting Numbers: [3, 15, 22]
Generated Node #0,0: 85:[3, 15, 22] Operation: 83-61=22
Exploring Operation: 61+15=76, Resulting Numbers: [3, 83, 76]
Generated Node #0,1: 85:[3, 83, 76] Operation: 61+15=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[3, 15, 22], Operations: ['83-61=22']
Exploring Operation: 22-15=7, Resulting Numbers: [3, 7]
Generated Node #0,0,0: 85:[3, 7] Operation: 22-15=7
Exploring Operation: 22-3=19, Resulting Numbers: [15, 19]
Generated Node #0,0,1: 85:[15, 19] Operation: 22-3=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[3, 7], Operations: ['83-61=22', '22-15=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 85:[15, 19], Operations: ['83-61=22', '22-3=19']
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,85 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[3, 83, 76], Operations: ['61+15=76']
Exploring Operation: 3+76=79, Resulting Numbers: [83, 79]
Generated Node #0,1,0: 85:[83, 79] Operation: 3+76=79
Exploring Operation: 83-76=7, Resulting Numbers: [3, 7]
Generated Node #0,1,1: 85:[3, 7] Operation: 83-76=7
Moving to Node #0,1,1
Current State: 85:[3, 7], Operations: ['61+15=76', '83-76=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,85 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[83, 79], Operations: ['61+15=76', '3+76=79']
Exploring Operation: 83+79=162, Resulting Numbers: [162]
162,85 unequal: No Solution
Exploring Operation: 83-79=4, Resulting Numbers: [4]
4,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
33,
23,
3,
39
] | 81 |
[
"39-23=16",
"3*16=48",
"33+48=81"
] |
Current State: 81:[33, 23, 3, 39], Operations: []
Exploring Operation: 39-23=16, Resulting Numbers: [33, 3, 16]
Generated Node #2: [33, 3, 16] from Operation: 39-23=16
Current State: 81:[33, 3, 16], Operations: ['39-23=16']
Exploring Operation: 3*16=48, Resulting Numbers: [33, 48]
Generated Node #3: [33, 48] from Operation: 3*16=48
Current State: 81:[33, 48], Operations: ['39-23=16', '3*16=48']
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
Current State: 81:[33, 23, 3, 39], Operations: []
Exploring Operation: 39-23=16, Resulting Numbers: [33, 3, 16]
Generated Node #0,0: 81:[33, 3, 16] Operation: 39-23=16
Exploring Operation: 33-23=10, Resulting Numbers: [3, 39, 10]
Generated Node #0,1: 81:[3, 39, 10] Operation: 33-23=10
Exploring Operation: 39-33=6, Resulting Numbers: [23, 3, 6]
Generated Node #0,2: 81:[23, 3, 6] Operation: 39-33=6
Exploring Operation: 33+39=72, Resulting Numbers: [23, 3, 72]
Generated Node #0,3: 81:[23, 3, 72] Operation: 33+39=72
Moving to Node #0,2
Current State: 81:[23, 3, 6], Operations: ['39-33=6']
Exploring Operation: 3+6=9, Resulting Numbers: [23, 9]
Generated Node #0,2,0: 81:[23, 9] Operation: 3+6=9
Exploring Operation: 23+3=26, Resulting Numbers: [6, 26]
Generated Node #0,2,1: 81:[6, 26] Operation: 23+3=26
Exploring Operation: 6-3=3, Resulting Numbers: [23, 3]
Generated Node #0,2,2: 81:[23, 3] Operation: 6-3=3
Exploring Operation: 23+6=29, Resulting Numbers: [3, 29]
Generated Node #0,2,3: 81:[3, 29] Operation: 23+6=29
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 81:[3, 29], Operations: ['39-33=6', '23+6=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,81 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 81:[23, 9], Operations: ['39-33=6', '3+6=9']
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,81 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,81 unequal: No Solution
Exploring Operation: 23*9=207, Resulting Numbers: [207]
207,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 81:[6, 26], Operations: ['39-33=6', '23+3=26']
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,81 unequal: No Solution
Exploring Operation: 6*26=156, Resulting Numbers: [156]
156,81 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 81:[23, 3], Operations: ['39-33=6', '6-3=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 81:[3, 39, 10], Operations: ['33-23=10']
Exploring Operation: 39/3=13, Resulting Numbers: [10, 13]
Generated Node #0,1,0: 81:[10, 13] Operation: 39/3=13
Exploring Operation: 39-3=36, Resulting Numbers: [10, 36]
Generated Node #0,1,1: 81:[10, 36] Operation: 39-3=36
Exploring Operation: 39-10=29, Resulting Numbers: [3, 29]
Generated Node #0,1,2: 81:[3, 29] Operation: 39-10=29
Exploring Operation: 10-3=7, Resulting Numbers: [39, 7]
Generated Node #0,1,3: 81:[39, 7] Operation: 10-3=7
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 81:[3, 29], Operations: ['33-23=10', '39-10=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,81 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[10, 13], Operations: ['33-23=10', '39/3=13']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,81 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[10, 36], Operations: ['33-23=10', '39-3=36']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,81 unequal: No Solution
Exploring Operation: 10+36=46, Resulting Numbers: [46]
46,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 81:[39, 7], Operations: ['33-23=10', '10-3=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,81 unequal: No Solution
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,81 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 81:[33, 3, 16], Operations: ['39-23=16']
Exploring Operation: 33-3=30, Resulting Numbers: [16, 30]
Generated Node #0,0,0: 81:[16, 30] Operation: 33-3=30
Exploring Operation: 16-3=13, Resulting Numbers: [33, 13]
Generated Node #0,0,1: 81:[33, 13] Operation: 16-3=13
Exploring Operation: 33/3=11, Resulting Numbers: [16, 11]
Generated Node #0,0,2: 81:[16, 11] Operation: 33/3=11
Exploring Operation: 33-16=17, Resulting Numbers: [3, 17]
Generated Node #0,0,3: 81:[3, 17] Operation: 33-16=17
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 81:[3, 17], Operations: ['39-23=16', '33-16=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,81 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 81:[16, 11], Operations: ['39-23=16', '33/3=11']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,81 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[16, 30], Operations: ['39-23=16', '33-3=30']
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,81 unequal: No Solution
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,81 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[33, 13], Operations: ['39-23=16', '16-3=13']
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,81 unequal: No Solution
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 33*13=429, Resulting Numbers: [429]
429,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 81:[23, 3, 72], Operations: ['33+39=72']
Exploring Operation: 23+3=26, Resulting Numbers: [72, 26]
Generated Node #0,3,0: 81:[72, 26] Operation: 23+3=26
Exploring Operation: 3+72=75, Resulting Numbers: [23, 75]
Generated Node #0,3,1: 81:[23, 75] Operation: 3+72=75
Exploring Operation: 72/3=24, Resulting Numbers: [23, 24]
Generated Node #0,3,2: 81:[23, 24] Operation: 72/3=24
Exploring Operation: 23+72=95, Resulting Numbers: [3, 95]
Generated Node #0,3,3: 81:[3, 95] Operation: 23+72=95
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 81:[23, 24], Operations: ['33+39=72', '72/3=24']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,81 unequal: No Solution
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 81:[72, 26], Operations: ['33+39=72', '23+3=26']
Exploring Operation: 72+26=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,81 unequal: No Solution
Exploring Operation: 72*26=1872, Resulting Numbers: [1872]
1872,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 81:[23, 75], Operations: ['33+39=72', '3+72=75']
Exploring Operation: 23+75=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,81 unequal: No Solution
Exploring Operation: 23*75=1725, Resulting Numbers: [1725]
1725,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 81:[3, 95], Operations: ['33+39=72', '23+72=95']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,81 unequal: No Solution
Exploring Operation: 3*95=285, Resulting Numbers: [285]
285,81 unequal: No Solution
Exploring Operation: 3+95=98, Resulting Numbers: [98]
98,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
7,
7,
41,
14
] | 50 |
[
"7+41=48",
"7*14=98",
"98-48=50"
] |
Current State: 50:[7, 7, 41, 14], Operations: []
Exploring Operation: 7+41=48, Resulting Numbers: [14, 48]
Generated Node #2: [14, 48] from Operation: 7+41=48
Current State: 50:[14, 48], Operations: ['7+41=48']
Exploring Operation: 7*14=98, Resulting Numbers: [48, 98]
Generated Node #3: [48, 98] from Operation: 7*14=98
Current State: 50:[48, 98], Operations: ['7+41=48', '7*14=98']
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
Current State: 50:[7, 7, 41, 14], Operations: []
Exploring Operation: 7+41=48, Resulting Numbers: [7, 14, 48]
Generated Node #0,0: 50:[7, 14, 48] Operation: 7+41=48
Exploring Operation: 41+14=55, Resulting Numbers: [7, 7, 55]
Generated Node #0,1: 50:[7, 7, 55] Operation: 41+14=55
Exploring Operation: 41-14=27, Resulting Numbers: [7, 7, 27]
Generated Node #0,2: 50:[7, 7, 27] Operation: 41-14=27
Exploring Operation: 7+41=48, Resulting Numbers: [7, 14, 48]
Generated Node #0,3: 50:[7, 14, 48] Operation: 7+41=48
Exploring Operation: 14/7=2, Resulting Numbers: [7, 41, 2]
Generated Node #0,4: 50:[7, 41, 2] Operation: 14/7=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[7, 7, 27], Operations: ['41-14=27']
Exploring Operation: 7+7=14, Resulting Numbers: [27, 14]
Generated Node #0,2,0: 50:[27, 14] Operation: 7+7=14
Exploring Operation: 7/7=1, Resulting Numbers: [27, 1]
Generated Node #0,2,1: 50:[27, 1] Operation: 7/7=1
Exploring Operation: 7-7=0, Resulting Numbers: [27, 0]
Generated Node #0,2,2: 50:[27, 0] Operation: 7-7=0
Exploring Operation: 7*7=49, Resulting Numbers: [27, 49]
Generated Node #0,2,3: 50:[27, 49] Operation: 7*7=49
Exploring Operation: 27-7=20, Resulting Numbers: [7, 20]
Generated Node #0,2,4: 50:[7, 20] Operation: 27-7=20
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 50:[27, 1], Operations: ['41-14=27', '7/7=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,50 unequal: No Solution
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 50:[27, 49], Operations: ['41-14=27', '7*7=49']
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 27*49=1323, Resulting Numbers: [1323]
1323,50 unequal: No Solution
Exploring Operation: 27+49=76, Resulting Numbers: [76]
76,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 50:[27, 0], Operations: ['41-14=27', '7-7=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 27*0=0, Resulting Numbers: [0]
0,50 unequal: No Solution
Exploring Operation: 27-0=27, Resulting Numbers: [27]
27,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 50:[27, 14], Operations: ['41-14=27', '7+7=14']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,50 unequal: No Solution
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 50:[7, 20], Operations: ['41-14=27', '27-7=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,50 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[7, 14, 48], Operations: ['7+41=48']
Exploring Operation: 7+14=21, Resulting Numbers: [48, 21]
Generated Node #0,0,0: 50:[48, 21] Operation: 7+14=21
Exploring Operation: 14-7=7, Resulting Numbers: [48, 7]
Generated Node #0,0,1: 50:[48, 7] Operation: 14-7=7
Exploring Operation: 7+48=55, Resulting Numbers: [14, 55]
Generated Node #0,0,2: 50:[14, 55] Operation: 7+48=55
Exploring Operation: 14/7=2, Resulting Numbers: [48, 2]
Generated Node #0,0,3: 50:[48, 2] Operation: 14/7=2
Exploring Operation: 48-14=34, Resulting Numbers: [7, 34]
Generated Node #0,0,4: 50:[7, 34] Operation: 48-14=34
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 50:[48, 2], Operations: ['7+41=48', '14/7=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[7, 7, 41, 14], Operations: []
Exploring Operation: 7+41=48, Resulting Numbers: [7, 14, 48]
Generated Node #0,0: 50:[7, 14, 48] Operation: 7+41=48
Moving to Node #0,0
Current State: 50:[7, 14, 48], Operations: ['7+41=48']
Exploring Operation: 14/7=2, Resulting Numbers: [48, 2]
Generated Node #0,0,3: 50:[48, 2] Operation: 14/7=2
Moving to Node #0,0,3
Current State: 50:[48, 2], Operations: ['7+41=48', '14/7=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 |
hs_5
|
sum_heuristic
|
[
78,
17,
14,
74
] | 73 |
[
"78-74=4",
"14*4=56",
"17+56=73"
] |
Current State: 73:[78, 17, 14, 74], Operations: []
Exploring Operation: 78-74=4, Resulting Numbers: [17, 14, 4]
Generated Node #2: [17, 14, 4] from Operation: 78-74=4
Current State: 73:[17, 14, 4], Operations: ['78-74=4']
Exploring Operation: 14*4=56, Resulting Numbers: [17, 56]
Generated Node #3: [17, 56] from Operation: 14*4=56
Current State: 73:[17, 56], Operations: ['78-74=4', '14*4=56']
Exploring Operation: 17+56=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
Current State: 73:[78, 17, 14, 74], Operations: []
Exploring Operation: 78-17=61, Resulting Numbers: [14, 74, 61]
Generated Node #0,0: 73:[14, 74, 61] Operation: 78-17=61
Exploring Operation: 74-14=60, Resulting Numbers: [78, 17, 60]
Generated Node #0,1: 73:[78, 17, 60] Operation: 74-14=60
Exploring Operation: 78-14=64, Resulting Numbers: [17, 74, 64]
Generated Node #0,2: 73:[17, 74, 64] Operation: 78-14=64
Exploring Operation: 17+14=31, Resulting Numbers: [78, 74, 31]
Generated Node #0,3: 73:[78, 74, 31] Operation: 17+14=31
Moving to Node #0,3
Current State: 73:[78, 74, 31], Operations: ['17+14=31']
Exploring Operation: 74-31=43, Resulting Numbers: [78, 43]
Generated Node #0,3,0: 73:[78, 43] Operation: 74-31=43
Exploring Operation: 74+31=105, Resulting Numbers: [78, 105]
Generated Node #0,3,1: 73:[78, 105] Operation: 74+31=105
Exploring Operation: 78-31=47, Resulting Numbers: [74, 47]
Generated Node #0,3,2: 73:[74, 47] Operation: 78-31=47
Exploring Operation: 78+31=109, Resulting Numbers: [74, 109]
Generated Node #0,3,3: 73:[74, 109] Operation: 78+31=109
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[74, 47], Operations: ['17+14=31', '78-31=47']
Exploring Operation: 74-47=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 74*47=3478, Resulting Numbers: [3478]
3478,73 unequal: No Solution
Exploring Operation: 74+47=121, Resulting Numbers: [121]
121,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[78, 43], Operations: ['17+14=31', '74-31=43']
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,73 unequal: No Solution
Exploring Operation: 78+43=121, Resulting Numbers: [121]
121,73 unequal: No Solution
Exploring Operation: 78*43=3354, Resulting Numbers: [3354]
3354,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[78, 105], Operations: ['17+14=31', '74+31=105']
Exploring Operation: 105-78=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 78*105=8190, Resulting Numbers: [8190]
8190,73 unequal: No Solution
Exploring Operation: 78+105=183, Resulting Numbers: [183]
183,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[74, 109], Operations: ['17+14=31', '78+31=109']
Exploring Operation: 74*109=8066, Resulting Numbers: [8066]
8066,73 unequal: No Solution
Exploring Operation: 109-74=35, Resulting Numbers: [35]
35,73 unequal: No Solution
Exploring Operation: 74+109=183, Resulting Numbers: [183]
183,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 73:[17, 74, 64], Operations: ['78-14=64']
Exploring Operation: 17+64=81, Resulting Numbers: [74, 81]
Generated Node #0,2,0: 73:[74, 81] Operation: 17+64=81
Exploring Operation: 74-17=57, Resulting Numbers: [64, 57]
Generated Node #0,2,1: 73:[64, 57] Operation: 74-17=57
Exploring Operation: 17+74=91, Resulting Numbers: [64, 91]
Generated Node #0,2,2: 73:[64, 91] Operation: 17+74=91
Exploring Operation: 64-17=47, Resulting Numbers: [74, 47]
Generated Node #0,2,3: 73:[74, 47] Operation: 64-17=47
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[74, 81], Operations: ['78-14=64', '17+64=81']
Exploring Operation: 74*81=5994, Resulting Numbers: [5994]
5994,73 unequal: No Solution
Exploring Operation: 81-74=7, Resulting Numbers: [7]
7,73 unequal: No Solution
Exploring Operation: 74+81=155, Resulting Numbers: [155]
155,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[64, 57], Operations: ['78-14=64', '74-17=57']
Exploring Operation: 64*57=3648, Resulting Numbers: [3648]
3648,73 unequal: No Solution
Exploring Operation: 64+57=121, Resulting Numbers: [121]
121,73 unequal: No Solution
Exploring Operation: 64-57=7, Resulting Numbers: [7]
7,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 73:[64, 91], Operations: ['78-14=64', '17+74=91']
Exploring Operation: 64*91=5824, Resulting Numbers: [5824]
5824,73 unequal: No Solution
Exploring Operation: 91-64=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 64+91=155, Resulting Numbers: [155]
155,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 73:[74, 47], Operations: ['78-14=64', '64-17=47']
Exploring Operation: 74*47=3478, Resulting Numbers: [3478]
3478,73 unequal: No Solution
Exploring Operation: 74+47=121, Resulting Numbers: [121]
121,73 unequal: No Solution
Exploring Operation: 74-47=27, Resulting Numbers: [27]
27,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 73:[14, 74, 61], Operations: ['78-17=61']
Exploring Operation: 14+61=75, Resulting Numbers: [74, 75]
Generated Node #0,0,0: 73:[74, 75] Operation: 14+61=75
Exploring Operation: 14+74=88, Resulting Numbers: [61, 88]
Generated Node #0,0,1: 73:[61, 88] Operation: 14+74=88
Exploring Operation: 61-14=47, Resulting Numbers: [74, 47]
Generated Node #0,0,2: 73:[74, 47] Operation: 61-14=47
Exploring Operation: 74-14=60, Resulting Numbers: [61, 60]
Generated Node #0,0,3: 73:[61, 60] Operation: 74-14=60
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[74, 75], Operations: ['78-17=61', '14+61=75']
Exploring Operation: 74*75=5550, Resulting Numbers: [5550]
5550,73 unequal: No Solution
Exploring Operation: 75-74=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 74+75=149, Resulting Numbers: [149]
149,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 73:[61, 60], Operations: ['78-17=61', '74-14=60']
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 61+60=121, Resulting Numbers: [121]
121,73 unequal: No Solution
Exploring Operation: 61*60=3660, Resulting Numbers: [3660]
3660,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[61, 88], Operations: ['78-17=61', '14+74=88']
Exploring Operation: 88-61=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 61*88=5368, Resulting Numbers: [5368]
5368,73 unequal: No Solution
Exploring Operation: 61+88=149, Resulting Numbers: [149]
149,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 73:[74, 47], Operations: ['78-17=61', '61-14=47']
Exploring Operation: 74-47=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 74+47=121, Resulting Numbers: [121]
121,73 unequal: No Solution
Exploring Operation: 74*47=3478, Resulting Numbers: [3478]
3478,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 73:[78, 17, 60], Operations: ['74-14=60']
Exploring Operation: 78+17=95, Resulting Numbers: [60, 95]
Generated Node #0,1,0: 73:[60, 95] Operation: 78+17=95
Exploring Operation: 60-17=43, Resulting Numbers: [78, 43]
Generated Node #0,1,1: 73:[78, 43] Operation: 60-17=43
Exploring Operation: 17+60=77, Resulting Numbers: [78, 77]
Generated Node #0,1,2: 73:[78, 77] Operation: 17+60=77
Exploring Operation: 78-17=61, Resulting Numbers: [60, 61]
Generated Node #0,1,3: 73:[60, 61] Operation: 78-17=61
Moving to Node #0,1,2
Current State: 73:[78, 77], Operations: ['74-14=60', '17+60=77']
Exploring Operation: 78-77=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 78*77=6006, Resulting Numbers: [6006]
6006,73 unequal: No Solution
Exploring Operation: 78+77=155, Resulting Numbers: [155]
155,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[60, 61], Operations: ['74-14=60', '78-17=61']
Exploring Operation: 60+61=121, Resulting Numbers: [121]
121,73 unequal: No Solution
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,73 unequal: No Solution
Exploring Operation: 60*61=3660, Resulting Numbers: [3660]
3660,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[78, 43], Operations: ['74-14=60', '60-17=43']
Exploring Operation: 78*43=3354, Resulting Numbers: [3354]
3354,73 unequal: No Solution
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,73 unequal: No Solution
Exploring Operation: 78+43=121, Resulting Numbers: [121]
121,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[60, 95], Operations: ['74-14=60', '78+17=95']
Exploring Operation: 95-60=35, Resulting Numbers: [35]
35,73 unequal: No Solution
Exploring Operation: 60+95=155, Resulting Numbers: [155]
155,73 unequal: No Solution
Exploring Operation: 60*95=5700, Resulting Numbers: [5700]
5700,73 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
1,
88,
41,
19
] | 65 |
[
"88-1=87",
"41-19=22",
"87-22=65"
] |
Current State: 65:[1, 88, 41, 19], Operations: []
Exploring Operation: 88-1=87, Resulting Numbers: [41, 19, 87]
Generated Node #2: [41, 19, 87] from Operation: 88-1=87
Current State: 65:[41, 19, 87], Operations: ['88-1=87']
Exploring Operation: 41-19=22, Resulting Numbers: [87, 22]
Generated Node #3: [87, 22] from Operation: 41-19=22
Current State: 65:[87, 22], Operations: ['88-1=87', '41-19=22']
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Current State: 65:[1, 88, 41, 19], Operations: []
Exploring Operation: 41+19=60, Resulting Numbers: [1, 88, 60]
Generated Node #0,0: 65:[1, 88, 60] Operation: 41+19=60
Exploring Operation: 88-41=47, Resulting Numbers: [1, 19, 47]
Generated Node #0,1: 65:[1, 19, 47] Operation: 88-41=47
Exploring Operation: 88-19=69, Resulting Numbers: [1, 41, 69]
Generated Node #0,2: 65:[1, 41, 69] Operation: 88-19=69
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[1, 19, 47], Operations: ['88-41=47']
Exploring Operation: 47-19=28, Resulting Numbers: [1, 28]
Generated Node #0,1,0: 65:[1, 28] Operation: 47-19=28
Exploring Operation: 19-1=18, Resulting Numbers: [47, 18]
Generated Node #0,1,1: 65:[47, 18] Operation: 19-1=18
Exploring Operation: 19+47=66, Resulting Numbers: [1, 66]
Generated Node #0,1,2: 65:[1, 66] Operation: 19+47=66
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 65:[1, 66], Operations: ['88-41=47', '19+47=66']
Exploring Operation: 1*66=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 66/1=66, Resulting Numbers: [66]
66,65 unequal: No Solution
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[1, 88, 41, 19], Operations: []
Exploring Operation: 88-41=47, Resulting Numbers: [1, 19, 47]
Generated Node #0,1: 65:[1, 19, 47] Operation: 88-41=47
Moving to Node #0,1
Current State: 65:[1, 19, 47], Operations: ['88-41=47']
Exploring Operation: 19+47=66, Resulting Numbers: [1, 66]
Generated Node #0,1,2: 65:[1, 66] Operation: 19+47=66
Moving to Node #0,1,2
Current State: 65:[1, 66], Operations: ['88-41=47', '19+47=66']
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 |
hs_3
|
sum_heuristic
|
[
69,
5,
47,
76
] | 93 |
[
"69-5=64",
"76-47=29",
"64+29=93"
] |
Current State: 93:[69, 5, 47, 76], Operations: []
Exploring Operation: 69-5=64, Resulting Numbers: [47, 76, 64]
Generated Node #2: [47, 76, 64] from Operation: 69-5=64
Current State: 93:[47, 76, 64], Operations: ['69-5=64']
Exploring Operation: 76-47=29, Resulting Numbers: [64, 29]
Generated Node #3: [64, 29] from Operation: 76-47=29
Current State: 93:[64, 29], Operations: ['69-5=64', '76-47=29']
Exploring Operation: 64+29=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[69, 5, 47, 76], Operations: []
Exploring Operation: 76-47=29, Resulting Numbers: [69, 5, 29]
Generated Node #0,0: 93:[69, 5, 29] Operation: 76-47=29
Exploring Operation: 69-47=22, Resulting Numbers: [5, 76, 22]
Generated Node #0,1: 93:[5, 76, 22] Operation: 69-47=22
Exploring Operation: 76-69=7, Resulting Numbers: [5, 47, 7]
Generated Node #0,2: 93:[5, 47, 7] Operation: 76-69=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[5, 47, 7], Operations: ['76-69=7']
Exploring Operation: 47-7=40, Resulting Numbers: [5, 40]
Generated Node #0,2,0: 93:[5, 40] Operation: 47-7=40
Exploring Operation: 7-5=2, Resulting Numbers: [47, 2]
Generated Node #0,2,1: 93:[47, 2] Operation: 7-5=2
Exploring Operation: 47-5=42, Resulting Numbers: [7, 42]
Generated Node #0,2,2: 93:[7, 42] Operation: 47-5=42
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 93:[5, 40], Operations: ['76-69=7', '47-7=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 93:[7, 42], Operations: ['76-69=7', '47-5=42']
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 93:[47, 2], Operations: ['76-69=7', '7-5=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,93 unequal: No Solution
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,93 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[69, 5, 29], Operations: ['76-47=29']
Exploring Operation: 69-29=40, Resulting Numbers: [5, 40]
Generated Node #0,0,0: 93:[5, 40] Operation: 69-29=40
Exploring Operation: 69+5=74, Resulting Numbers: [29, 74]
Generated Node #0,0,1: 93:[29, 74] Operation: 69+5=74
Exploring Operation: 69+29=98, Resulting Numbers: [5, 98]
Generated Node #0,0,2: 93:[5, 98] Operation: 69+29=98
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 93:[5, 98], Operations: ['76-47=29', '69+29=98']
Exploring Operation: 5*98=490, Resulting Numbers: [490]
490,93 unequal: No Solution
Exploring Operation: 5+98=103, Resulting Numbers: [103]
103,93 unequal: No Solution
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[69, 5, 47, 76], Operations: []
Exploring Operation: 76-47=29, Resulting Numbers: [69, 5, 29]
Generated Node #0,0: 93:[69, 5, 29] Operation: 76-47=29
Moving to Node #0,0
Current State: 93:[69, 5, 29], Operations: ['76-47=29']
Exploring Operation: 69+29=98, Resulting Numbers: [5, 98]
Generated Node #0,0,2: 93:[5, 98] Operation: 69+29=98
Moving to Node #0,0,2
Current State: 93:[5, 98], Operations: ['76-47=29', '69+29=98']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 |
hs_3
|
sum_heuristic
|
[
53,
68,
67,
13
] | 67 |
[
"53+68=121",
"67-13=54",
"121-54=67"
] |
Current State: 67:[53, 68, 67, 13], Operations: []
Exploring Operation: 53+68=121, Resulting Numbers: [67, 13, 121]
Generated Node #2: [67, 13, 121] from Operation: 53+68=121
Current State: 67:[67, 13, 121], Operations: ['53+68=121']
Exploring Operation: 67-13=54, Resulting Numbers: [121, 54]
Generated Node #3: [121, 54] from Operation: 67-13=54
Current State: 67:[121, 54], Operations: ['53+68=121', '67-13=54']
Exploring Operation: 121-54=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[53, 68, 67, 13], Operations: []
Exploring Operation: 53+13=66, Resulting Numbers: [68, 67, 66]
Generated Node #0,0: 67:[68, 67, 66] Operation: 53+13=66
Exploring Operation: 68-13=55, Resulting Numbers: [53, 67, 55]
Generated Node #0,1: 67:[53, 67, 55] Operation: 68-13=55
Moving to Node #0,0
Current State: 67:[68, 67, 66], Operations: ['53+13=66']
Exploring Operation: 68-66=2, Resulting Numbers: [67, 2]
Generated Node #0,0,0: 67:[67, 2] Operation: 68-66=2
Exploring Operation: 68-67=1, Resulting Numbers: [66, 1]
Generated Node #0,0,1: 67:[66, 1] Operation: 68-67=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[67, 2], Operations: ['53+13=66', '68-66=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[66, 1], Operations: ['53+13=66', '68-67=1']
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[53, 68, 67, 13], Operations: []
Exploring Operation: 53+13=66, Resulting Numbers: [68, 67, 66]
Generated Node #0,0: 67:[68, 67, 66] Operation: 53+13=66
Moving to Node #0,0
Current State: 67:[68, 67, 66], Operations: ['53+13=66']
Exploring Operation: 68-67=1, Resulting Numbers: [66, 1]
Generated Node #0,0,1: 67:[66, 1] Operation: 68-67=1
Moving to Node #0,0,1
Current State: 67:[66, 1], Operations: ['53+13=66', '68-67=1']
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_2
|
sum_heuristic
|
[
48,
86,
72,
20
] | 42 |
[
"48+86=134",
"72+20=92",
"134-92=42"
] |
Current State: 42:[48, 86, 72, 20], Operations: []
Exploring Operation: 48+86=134, Resulting Numbers: [72, 20, 134]
Generated Node #2: [72, 20, 134] from Operation: 48+86=134
Current State: 42:[72, 20, 134], Operations: ['48+86=134']
Exploring Operation: 72+20=92, Resulting Numbers: [134, 92]
Generated Node #3: [134, 92] from Operation: 72+20=92
Current State: 42:[134, 92], Operations: ['48+86=134', '72+20=92']
Exploring Operation: 134-92=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
Current State: 42:[48, 86, 72, 20], Operations: []
Exploring Operation: 86-48=38, Resulting Numbers: [72, 20, 38]
Generated Node #0,0: 42:[72, 20, 38] Operation: 86-48=38
Exploring Operation: 86-72=14, Resulting Numbers: [48, 20, 14]
Generated Node #0,1: 42:[48, 20, 14] Operation: 86-72=14
Exploring Operation: 72-48=24, Resulting Numbers: [86, 20, 24]
Generated Node #0,2: 42:[86, 20, 24] Operation: 72-48=24
Exploring Operation: 86-20=66, Resulting Numbers: [48, 72, 66]
Generated Node #0,3: 42:[48, 72, 66] Operation: 86-20=66
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[48, 20, 14], Operations: ['86-72=14']
Exploring Operation: 20+14=34, Resulting Numbers: [48, 34]
Generated Node #0,1,0: 42:[48, 34] Operation: 20+14=34
Exploring Operation: 48-14=34, Resulting Numbers: [20, 34]
Generated Node #0,1,1: 42:[20, 34] Operation: 48-14=34
Exploring Operation: 20-14=6, Resulting Numbers: [48, 6]
Generated Node #0,1,2: 42:[48, 6] Operation: 20-14=6
Exploring Operation: 48-20=28, Resulting Numbers: [14, 28]
Generated Node #0,1,3: 42:[14, 28] Operation: 48-20=28
Moving to Node #0,1,2
Current State: 42:[48, 6], Operations: ['86-72=14', '20-14=6']
Exploring Operation: 48*6=288, Resulting Numbers: [288]
288,42 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[48, 86, 72, 20], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [48, 20, 14]
Generated Node #0,1: 42:[48, 20, 14] Operation: 86-72=14
Moving to Node #0,1
Current State: 42:[48, 20, 14], Operations: ['86-72=14']
Exploring Operation: 20-14=6, Resulting Numbers: [48, 6]
Generated Node #0,1,2: 42:[48, 6] Operation: 20-14=6
Moving to Node #0,1,2
Current State: 42:[48, 6], Operations: ['86-72=14', '20-14=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
sum_heuristic
|
[
62,
15,
45,
88
] | 56 |
[
"62+15=77",
"45+88=133",
"133-77=56"
] |
Current State: 56:[62, 15, 45, 88], Operations: []
Exploring Operation: 62+15=77, Resulting Numbers: [45, 88, 77]
Generated Node #2: [45, 88, 77] from Operation: 62+15=77
Current State: 56:[45, 88, 77], Operations: ['62+15=77']
Exploring Operation: 45+88=133, Resulting Numbers: [77, 133]
Generated Node #3: [77, 133] from Operation: 45+88=133
Current State: 56:[77, 133], Operations: ['62+15=77', '45+88=133']
Exploring Operation: 133-77=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
Current State: 56:[62, 15, 45, 88], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [15, 88, 17]
Generated Node #0,0: 56:[15, 88, 17] Operation: 62-45=17
Exploring Operation: 88-15=73, Resulting Numbers: [62, 45, 73]
Generated Node #0,1: 56:[62, 45, 73] Operation: 88-15=73
Exploring Operation: 88-45=43, Resulting Numbers: [62, 15, 43]
Generated Node #0,2: 56:[62, 15, 43] Operation: 88-45=43
Exploring Operation: 88-62=26, Resulting Numbers: [15, 45, 26]
Generated Node #0,3: 56:[15, 45, 26] Operation: 88-62=26
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[15, 45, 26], Operations: ['88-62=26']
Exploring Operation: 45-26=19, Resulting Numbers: [15, 19]
Generated Node #0,3,0: 56:[15, 19] Operation: 45-26=19
Exploring Operation: 45-15=30, Resulting Numbers: [26, 30]
Generated Node #0,3,1: 56:[26, 30] Operation: 45-15=30
Exploring Operation: 45/15=3, Resulting Numbers: [26, 3]
Generated Node #0,3,2: 56:[26, 3] Operation: 45/15=3
Exploring Operation: 15+45=60, Resulting Numbers: [26, 60]
Generated Node #0,3,3: 56:[26, 60] Operation: 15+45=60
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 56:[26, 3], Operations: ['88-62=26', '45/15=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,56 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 56:[26, 30], Operations: ['88-62=26', '45-15=30']
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[62, 15, 45, 88], Operations: []
Exploring Operation: 88-62=26, Resulting Numbers: [15, 45, 26]
Generated Node #0,3: 56:[15, 45, 26] Operation: 88-62=26
Moving to Node #0,3
Current State: 56:[15, 45, 26], Operations: ['88-62=26']
Exploring Operation: 45-15=30, Resulting Numbers: [26, 30]
Generated Node #0,3,1: 56:[26, 30] Operation: 45-15=30
Moving to Node #0,3,1
Current State: 56:[26, 30], Operations: ['88-62=26', '45-15=30']
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 |
hs_4
|
sum_heuristic
|
[
79,
38,
82,
5
] | 10 |
[
"79-38=41",
"82*5=410",
"410/41=10"
] |
Current State: 10:[79, 38, 82, 5], Operations: []
Exploring Operation: 79-38=41, Resulting Numbers: [82, 5, 41]
Generated Node #2: [82, 5, 41] from Operation: 79-38=41
Current State: 10:[82, 5, 41], Operations: ['79-38=41']
Exploring Operation: 82*5=410, Resulting Numbers: [41, 410]
Generated Node #3: [41, 410] from Operation: 82*5=410
Current State: 10:[41, 410], Operations: ['79-38=41', '82*5=410']
Exploring Operation: 410/41=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
Current State: 10:[79, 38, 82, 5], Operations: []
Exploring Operation: 79-5=74, Resulting Numbers: [38, 82, 74]
Generated Node #0,0: 10:[38, 82, 74] Operation: 79-5=74
Exploring Operation: 79-38=41, Resulting Numbers: [82, 5, 41]
Generated Node #0,1: 10:[82, 5, 41] Operation: 79-38=41
Exploring Operation: 82-79=3, Resulting Numbers: [38, 5, 3]
Generated Node #0,2: 10:[38, 5, 3] Operation: 82-79=3
Exploring Operation: 82-38=44, Resulting Numbers: [79, 5, 44]
Generated Node #0,3: 10:[79, 5, 44] Operation: 82-38=44
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[38, 5, 3], Operations: ['82-79=3']
Exploring Operation: 5+3=8, Resulting Numbers: [38, 8]
Generated Node #0,2,0: 10:[38, 8] Operation: 5+3=8
Exploring Operation: 38-5=33, Resulting Numbers: [3, 33]
Generated Node #0,2,1: 10:[3, 33] Operation: 38-5=33
Exploring Operation: 38-3=35, Resulting Numbers: [5, 35]
Generated Node #0,2,2: 10:[5, 35] Operation: 38-3=35
Exploring Operation: 5-3=2, Resulting Numbers: [38, 2]
Generated Node #0,2,3: 10:[38, 2] Operation: 5-3=2
Moving to Node #0,2,1
Current State: 10:[3, 33], Operations: ['82-79=3', '38-5=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,10 unequal: No Solution
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,10 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[5, 35], Operations: ['82-79=3', '38-3=35']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,10 unequal: No Solution
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,10 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,10 unequal: No Solution
Exploring Operation: 5*35=175, Resulting Numbers: [175]
175,10 unequal: No Solution
Moving to Node #0,2,3
Current State: 10:[38, 2], Operations: ['82-79=3', '5-3=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,10 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,10 unequal: No Solution
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,10 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[38, 8], Operations: ['82-79=3', '5+3=8']
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,10 unequal: No Solution
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,10 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[82, 5, 41], Operations: ['79-38=41']
Exploring Operation: 82-5=77, Resulting Numbers: [41, 77]
Generated Node #0,1,0: 10:[41, 77] Operation: 82-5=77
Exploring Operation: 82/41=2, Resulting Numbers: [5, 2]
Generated Node #0,1,1: 10:[5, 2] Operation: 82/41=2
Exploring Operation: 82-41=41, Resulting Numbers: [5, 41]
Generated Node #0,1,2: 10:[5, 41] Operation: 82-41=41
Exploring Operation: 41-5=36, Resulting Numbers: [82, 36]
Generated Node #0,1,3: 10:[82, 36] Operation: 41-5=36
Moving to Node #0,1,1
Current State: 10:[5, 2], Operations: ['79-38=41', '82/41=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[79, 38, 82, 5], Operations: []
Exploring Operation: 79-38=41, Resulting Numbers: [82, 5, 41]
Generated Node #0,1: 10:[82, 5, 41] Operation: 79-38=41
Moving to Node #0,1
Current State: 10:[82, 5, 41], Operations: ['79-38=41']
Exploring Operation: 82/41=2, Resulting Numbers: [5, 2]
Generated Node #0,1,1: 10:[5, 2] Operation: 82/41=2
Moving to Node #0,1,1
Current State: 10:[5, 2], Operations: ['79-38=41', '82/41=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 |
hs_4
|
sum_heuristic
|
[
50,
66,
5,
69
] | 25 |
[
"66+5=71",
"71-69=2",
"50/2=25"
] |
Current State: 25:[50, 66, 5, 69], Operations: []
Exploring Operation: 66+5=71, Resulting Numbers: [50, 69, 71]
Generated Node #2: [50, 69, 71] from Operation: 66+5=71
Current State: 25:[50, 69, 71], Operations: ['66+5=71']
Exploring Operation: 71-69=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 71-69=2
Current State: 25:[50, 2], Operations: ['66+5=71', '71-69=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[50, 66, 5, 69], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [50, 5, 3]
Generated Node #0,0: 25:[50, 5, 3] Operation: 69-66=3
Moving to Node #0,0
Current State: 25:[50, 5, 3], Operations: ['69-66=3']
Exploring Operation: 50/5=10, Resulting Numbers: [3, 10]
Generated Node #0,0,0: 25:[3, 10] Operation: 50/5=10
Moving to Node #0,0,0
Current State: 25:[3, 10], Operations: ['69-66=3', '50/5=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,25 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
5,
93,
19,
90
] | 93 |
[
"90/5=18",
"19-18=1",
"93*1=93"
] |
Current State: 93:[5, 93, 19, 90], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [93, 19, 18]
Generated Node #2: [93, 19, 18] from Operation: 90/5=18
Current State: 93:[93, 19, 18], Operations: ['90/5=18']
Exploring Operation: 19-18=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 19-18=1
Current State: 93:[93, 1], Operations: ['90/5=18', '19-18=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[5, 93, 19, 90], Operations: []
Exploring Operation: 5*19=95, Resulting Numbers: [93, 90, 95]
Generated Node #0,0: 93:[93, 90, 95] Operation: 5*19=95
Moving to Node #0,0
Current State: 93:[93, 90, 95], Operations: ['5*19=95']
Exploring Operation: 93-90=3, Resulting Numbers: [95, 3]
Generated Node #0,0,0: 93:[95, 3] Operation: 93-90=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[95, 3], Operations: ['5*19=95', '93-90=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
65,
65,
34,
5
] | 39 |
[
"65-65=0",
"34+5=39",
"0+39=39"
] |
Current State: 39:[65, 65, 34, 5], Operations: []
Exploring Operation: 65-65=0, Resulting Numbers: [34, 5, 0]
Generated Node #2: [34, 5, 0] from Operation: 65-65=0
Current State: 39:[34, 5, 0], Operations: ['65-65=0']
Exploring Operation: 34+5=39, Resulting Numbers: [0, 39]
Generated Node #3: [0, 39] from Operation: 34+5=39
Current State: 39:[0, 39], Operations: ['65-65=0', '34+5=39']
Exploring Operation: 0+39=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[65, 65, 34, 5], Operations: []
Exploring Operation: 65-65=0, Resulting Numbers: [34, 5, 0]
Generated Node #0,0: 39:[34, 5, 0] Operation: 65-65=0
Exploring Operation: 65/65=1, Resulting Numbers: [34, 5, 1]
Generated Node #0,1: 39:[34, 5, 1] Operation: 65/65=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[34, 5, 1], Operations: ['65/65=1']
Exploring Operation: 34+5=39, Resulting Numbers: [1, 39]
Generated Node #0,1,0: 39:[1, 39] Operation: 34+5=39
Exploring Operation: 34+1=35, Resulting Numbers: [5, 35]
Generated Node #0,1,1: 39:[5, 35] Operation: 34+1=35
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[1, 39], Operations: ['65/65=1', '34+5=39']
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[65, 65, 34, 5], Operations: []
Exploring Operation: 65/65=1, Resulting Numbers: [34, 5, 1]
Generated Node #0,1: 39:[34, 5, 1] Operation: 65/65=1
Moving to Node #0,1
Current State: 39:[34, 5, 1], Operations: ['65/65=1']
Exploring Operation: 34+5=39, Resulting Numbers: [1, 39]
Generated Node #0,1,0: 39:[1, 39] Operation: 34+5=39
Moving to Node #0,1,0
Current State: 39:[1, 39], Operations: ['65/65=1', '34+5=39']
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
mult_heuristic
|
[
81,
43,
44,
99
] | 93 |
[
"81-43=38",
"99-44=55",
"38+55=93"
] |
Current State: 93:[81, 43, 44, 99], Operations: []
Exploring Operation: 81-43=38, Resulting Numbers: [44, 99, 38]
Generated Node #2: [44, 99, 38] from Operation: 81-43=38
Current State: 93:[44, 99, 38], Operations: ['81-43=38']
Exploring Operation: 99-44=55, Resulting Numbers: [38, 55]
Generated Node #3: [38, 55] from Operation: 99-44=55
Current State: 93:[38, 55], Operations: ['81-43=38', '99-44=55']
Exploring Operation: 38+55=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
Current State: 93:[81, 43, 44, 99], Operations: []
Exploring Operation: 81-43=38, Resulting Numbers: [44, 99, 38]
Generated Node #0,0: 93:[44, 99, 38] Operation: 81-43=38
Exploring Operation: 43+44=87, Resulting Numbers: [81, 99, 87]
Generated Node #0,1: 93:[81, 99, 87] Operation: 43+44=87
Exploring Operation: 44-43=1, Resulting Numbers: [81, 99, 1]
Generated Node #0,2: 93:[81, 99, 1] Operation: 44-43=1
Exploring Operation: 81-44=37, Resulting Numbers: [43, 99, 37]
Generated Node #0,3: 93:[43, 99, 37] Operation: 81-44=37
Moving to Node #0,2
Current State: 93:[81, 99, 1], Operations: ['44-43=1']
Exploring Operation: 81*1=81, Resulting Numbers: [99, 81]
Generated Node #0,2,0: 93:[99, 81] Operation: 81*1=81
Exploring Operation: 81+1=82, Resulting Numbers: [99, 82]
Generated Node #0,2,1: 93:[99, 82] Operation: 81+1=82
Exploring Operation: 99-1=98, Resulting Numbers: [81, 98]
Generated Node #0,2,2: 93:[81, 98] Operation: 99-1=98
Exploring Operation: 99-81=18, Resulting Numbers: [1, 18]
Generated Node #0,2,3: 93:[1, 18] Operation: 99-81=18
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 93:[1, 18], Operations: ['44-43=1', '99-81=18']
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 1+18=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 93:[99, 82], Operations: ['44-43=1', '81+1=82']
Exploring Operation: 99+82=181, Resulting Numbers: [181]
181,93 unequal: No Solution
Exploring Operation: 99-82=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 99*82=8118, Resulting Numbers: [8118]
8118,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[81, 98], Operations: ['44-43=1', '99-1=98']
Exploring Operation: 81+98=179, Resulting Numbers: [179]
179,93 unequal: No Solution
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Exploring Operation: 81*98=7938, Resulting Numbers: [7938]
7938,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 93:[99, 81], Operations: ['44-43=1', '81*1=81']
Exploring Operation: 99*81=8019, Resulting Numbers: [8019]
8019,93 unequal: No Solution
Exploring Operation: 99+81=180, Resulting Numbers: [180]
180,93 unequal: No Solution
Exploring Operation: 99-81=18, Resulting Numbers: [18]
18,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 93:[43, 99, 37], Operations: ['81-44=37']
Exploring Operation: 99-37=62, Resulting Numbers: [43, 62]
Generated Node #0,3,0: 93:[43, 62] Operation: 99-37=62
Exploring Operation: 43+37=80, Resulting Numbers: [99, 80]
Generated Node #0,3,1: 93:[99, 80] Operation: 43+37=80
Exploring Operation: 99-43=56, Resulting Numbers: [37, 56]
Generated Node #0,3,2: 93:[37, 56] Operation: 99-43=56
Exploring Operation: 43-37=6, Resulting Numbers: [99, 6]
Generated Node #0,3,3: 93:[99, 6] Operation: 43-37=6
Moving to Node #0,1
Current State: 93:[81, 99, 87], Operations: ['43+44=87']
Exploring Operation: 99-87=12, Resulting Numbers: [81, 12]
Generated Node #0,1,0: 93:[81, 12] Operation: 99-87=12
Exploring Operation: 81+87=168, Resulting Numbers: [99, 168]
Generated Node #0,1,1: 93:[99, 168] Operation: 81+87=168
Exploring Operation: 87-81=6, Resulting Numbers: [99, 6]
Generated Node #0,1,2: 93:[99, 6] Operation: 87-81=6
Exploring Operation: 99-81=18, Resulting Numbers: [87, 18]
Generated Node #0,1,3: 93:[87, 18] Operation: 99-81=18
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 93:[99, 6], Operations: ['43+44=87', '87-81=6']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[81, 43, 44, 99], Operations: []
Exploring Operation: 43+44=87, Resulting Numbers: [81, 99, 87]
Generated Node #0,1: 93:[81, 99, 87] Operation: 43+44=87
Moving to Node #0,1
Current State: 93:[81, 99, 87], Operations: ['43+44=87']
Exploring Operation: 87-81=6, Resulting Numbers: [99, 6]
Generated Node #0,1,2: 93:[99, 6] Operation: 87-81=6
Moving to Node #0,1,2
Current State: 93:[99, 6], Operations: ['43+44=87', '87-81=6']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 |
hs_4
|
sum_heuristic
|
[
96,
75,
44,
89
] | 36 |
[
"75*44=3300",
"3300-96=3204",
"3204/89=36"
] |
Current State: 36:[96, 75, 44, 89], Operations: []
Exploring Operation: 75*44=3300, Resulting Numbers: [96, 89, 3300]
Generated Node #2: [96, 89, 3300] from Operation: 75*44=3300
Current State: 36:[96, 89, 3300], Operations: ['75*44=3300']
Exploring Operation: 3300-96=3204, Resulting Numbers: [89, 3204]
Generated Node #3: [89, 3204] from Operation: 3300-96=3204
Current State: 36:[89, 3204], Operations: ['75*44=3300', '3300-96=3204']
Exploring Operation: 3204/89=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
Current State: 36:[96, 75, 44, 89], Operations: []
Exploring Operation: 96-89=7, Resulting Numbers: [75, 44, 7]
Generated Node #0,0: 36:[75, 44, 7] Operation: 96-89=7
Moving to Node #0,0
Current State: 36:[75, 44, 7], Operations: ['96-89=7']
Exploring Operation: 75-44=31, Resulting Numbers: [7, 31]
Generated Node #0,0,0: 36:[7, 31] Operation: 75-44=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[7, 31], Operations: ['96-89=7', '75-44=31']
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
18,
67,
96,
48
] | 76 |
[
"18*48=864",
"864/96=9",
"67+9=76"
] |
Current State: 76:[18, 67, 96, 48], Operations: []
Exploring Operation: 18*48=864, Resulting Numbers: [67, 96, 864]
Generated Node #2: [67, 96, 864] from Operation: 18*48=864
Current State: 76:[67, 96, 864], Operations: ['18*48=864']
Exploring Operation: 864/96=9, Resulting Numbers: [67, 9]
Generated Node #3: [67, 9] from Operation: 864/96=9
Current State: 76:[67, 9], Operations: ['18*48=864', '864/96=9']
Exploring Operation: 67+9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
Current State: 76:[18, 67, 96, 48], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [18, 67, 2]
Generated Node #0,0: 76:[18, 67, 2] Operation: 96/48=2
Exploring Operation: 96-18=78, Resulting Numbers: [67, 48, 78]
Generated Node #0,1: 76:[67, 48, 78] Operation: 96-18=78
Exploring Operation: 67-48=19, Resulting Numbers: [18, 96, 19]
Generated Node #0,2: 76:[18, 96, 19] Operation: 67-48=19
Exploring Operation: 96-67=29, Resulting Numbers: [18, 48, 29]
Generated Node #0,3: 76:[18, 48, 29] Operation: 96-67=29
Exploring Operation: 96-48=48, Resulting Numbers: [18, 67, 48]
Generated Node #0,4: 76:[18, 67, 48] Operation: 96-48=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[18, 67, 2], Operations: ['96/48=2']
Exploring Operation: 67-18=49, Resulting Numbers: [2, 49]
Generated Node #0,0,0: 76:[2, 49] Operation: 67-18=49
Exploring Operation: 18+67=85, Resulting Numbers: [2, 85]
Generated Node #0,0,1: 76:[2, 85] Operation: 18+67=85
Exploring Operation: 18*2=36, Resulting Numbers: [67, 36]
Generated Node #0,0,2: 76:[67, 36] Operation: 18*2=36
Exploring Operation: 18+2=20, Resulting Numbers: [67, 20]
Generated Node #0,0,3: 76:[67, 20] Operation: 18+2=20
Exploring Operation: 67+2=69, Resulting Numbers: [18, 69]
Generated Node #0,0,4: 76:[18, 69] Operation: 67+2=69
Moving to Node #0,0,4
Current State: 76:[18, 69], Operations: ['96/48=2', '67+2=69']
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 18*69=1242, Resulting Numbers: [1242]
1242,76 unequal: No Solution
Exploring Operation: 18+69=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[2, 85], Operations: ['96/48=2', '18+67=85']
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 2*85=170, Resulting Numbers: [170]
170,76 unequal: No Solution
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[67, 20], Operations: ['96/48=2', '18+2=20']
Exploring Operation: 67*20=1340, Resulting Numbers: [1340]
1340,76 unequal: No Solution
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 67+20=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[2, 49], Operations: ['96/48=2', '67-18=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[67, 36], Operations: ['96/48=2', '18*2=36']
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,76 unequal: No Solution
Exploring Operation: 67*36=2412, Resulting Numbers: [2412]
2412,76 unequal: No Solution
Exploring Operation: 67+36=103, Resulting Numbers: [103]
103,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[18, 48, 29], Operations: ['96-67=29']
Exploring Operation: 18+48=66, Resulting Numbers: [29, 66]
Generated Node #0,3,0: 76:[29, 66] Operation: 18+48=66
Exploring Operation: 48+29=77, Resulting Numbers: [18, 77]
Generated Node #0,3,1: 76:[18, 77] Operation: 48+29=77
Exploring Operation: 29-18=11, Resulting Numbers: [48, 11]
Generated Node #0,3,2: 76:[48, 11] Operation: 29-18=11
Exploring Operation: 48-29=19, Resulting Numbers: [18, 19]
Generated Node #0,3,3: 76:[18, 19] Operation: 48-29=19
Exploring Operation: 48-18=30, Resulting Numbers: [29, 30]
Generated Node #0,3,4: 76:[29, 30] Operation: 48-18=30
Moving to Node #0,3,3
Current State: 76:[18, 19], Operations: ['96-67=29', '48-29=19']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[18, 77], Operations: ['96-67=29', '48+29=77']
Exploring Operation: 18+77=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 18*77=1386, Resulting Numbers: [1386]
1386,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[48, 11], Operations: ['96-67=29', '29-18=11']
Exploring Operation: 48*11=528, Resulting Numbers: [528]
528,76 unequal: No Solution
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Moving to Node #0,3,4
Current State: 76:[29, 30], Operations: ['96-67=29', '48-18=30']
Exploring Operation: 29*30=870, Resulting Numbers: [870]
870,76 unequal: No Solution
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Moving to Node #0,3,0
Current State: 76:[29, 66], Operations: ['96-67=29', '18+48=66']
Exploring Operation: 29*66=1914, Resulting Numbers: [1914]
1914,76 unequal: No Solution
Exploring Operation: 29+66=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 76:[18, 67, 48], Operations: ['96-48=48']
Exploring Operation: 67-18=49, Resulting Numbers: [48, 49]
Generated Node #0,4,0: 76:[48, 49] Operation: 67-18=49
Exploring Operation: 18+48=66, Resulting Numbers: [67, 66]
Generated Node #0,4,1: 76:[67, 66] Operation: 18+48=66
Exploring Operation: 67-48=19, Resulting Numbers: [18, 19]
Generated Node #0,4,2: 76:[18, 19] Operation: 67-48=19
Exploring Operation: 18+67=85, Resulting Numbers: [48, 85]
Generated Node #0,4,3: 76:[48, 85] Operation: 18+67=85
Exploring Operation: 48-18=30, Resulting Numbers: [67, 30]
Generated Node #0,4,4: 76:[67, 30] Operation: 48-18=30
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 76:[18, 19], Operations: ['96-48=48', '67-48=19']
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,76 unequal: No Solution
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 76:[67, 30], Operations: ['96-48=48', '48-18=30']
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 67*30=2010, Resulting Numbers: [2010]
2010,76 unequal: No Solution
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 76:[67, 66], Operations: ['96-48=48', '18+48=66']
Exploring Operation: 67*66=4422, Resulting Numbers: [4422]
4422,76 unequal: No Solution
Exploring Operation: 67-66=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 67+66=133, Resulting Numbers: [133]
133,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 76:[48, 85], Operations: ['96-48=48', '18+67=85']
Exploring Operation: 48*85=4080, Resulting Numbers: [4080]
4080,76 unequal: No Solution
Exploring Operation: 48+85=133, Resulting Numbers: [133]
133,76 unequal: No Solution
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 76:[48, 49], Operations: ['96-48=48', '67-18=49']
Exploring Operation: 48*49=2352, Resulting Numbers: [2352]
2352,76 unequal: No Solution
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 48+49=97, Resulting Numbers: [97]
97,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[67, 48, 78], Operations: ['96-18=78']
Exploring Operation: 78-48=30, Resulting Numbers: [67, 30]
Generated Node #0,1,0: 76:[67, 30] Operation: 78-48=30
Exploring Operation: 67-48=19, Resulting Numbers: [78, 19]
Generated Node #0,1,1: 76:[78, 19] Operation: 67-48=19
Exploring Operation: 78-67=11, Resulting Numbers: [48, 11]
Generated Node #0,1,2: 76:[48, 11] Operation: 78-67=11
Exploring Operation: 48+78=126, Resulting Numbers: [67, 126]
Generated Node #0,1,3: 76:[67, 126] Operation: 48+78=126
Exploring Operation: 67+48=115, Resulting Numbers: [78, 115]
Generated Node #0,1,4: 76:[78, 115] Operation: 67+48=115
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[78, 19], Operations: ['96-18=78', '67-48=19']
Exploring Operation: 78+19=97, Resulting Numbers: [97]
97,76 unequal: No Solution
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 78*19=1482, Resulting Numbers: [1482]
1482,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[67, 30], Operations: ['96-18=78', '78-48=30']
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 67*30=2010, Resulting Numbers: [2010]
2010,76 unequal: No Solution
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 76:[48, 11], Operations: ['96-18=78', '78-67=11']
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 48*11=528, Resulting Numbers: [528]
528,76 unequal: No Solution
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 76:[78, 115], Operations: ['96-18=78', '67+48=115']
Exploring Operation: 115-78=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 78+115=193, Resulting Numbers: [193]
193,76 unequal: No Solution
Exploring Operation: 78*115=8970, Resulting Numbers: [8970]
8970,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 76:[67, 126], Operations: ['96-18=78', '48+78=126']
Exploring Operation: 67*126=8442, Resulting Numbers: [8442]
8442,76 unequal: No Solution
Exploring Operation: 126-67=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 67+126=193, Resulting Numbers: [193]
193,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[18, 96, 19], Operations: ['67-48=19']
Exploring Operation: 19-18=1, Resulting Numbers: [96, 1]
Generated Node #0,2,0: 76:[96, 1] Operation: 19-18=1
Exploring Operation: 96-18=78, Resulting Numbers: [19, 78]
Generated Node #0,2,1: 76:[19, 78] Operation: 96-18=78
Exploring Operation: 18+19=37, Resulting Numbers: [96, 37]
Generated Node #0,2,2: 76:[96, 37] Operation: 18+19=37
Exploring Operation: 96-19=77, Resulting Numbers: [18, 77]
Generated Node #0,2,3: 76:[18, 77] Operation: 96-19=77
Exploring Operation: 18+96=114, Resulting Numbers: [19, 114]
Generated Node #0,2,4: 76:[19, 114] Operation: 18+96=114
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 76:[19, 78], Operations: ['67-48=19', '96-18=78']
Exploring Operation: 19*78=1482, Resulting Numbers: [1482]
1482,76 unequal: No Solution
Exploring Operation: 19+78=97, Resulting Numbers: [97]
97,76 unequal: No Solution
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 76:[18, 77], Operations: ['67-48=19', '96-19=77']
Exploring Operation: 18+77=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 18*77=1386, Resulting Numbers: [1386]
1386,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[96, 1], Operations: ['67-48=19', '19-18=1']
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,76 unequal: No Solution
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,76 unequal: No Solution
Exploring Operation: 96+1=97, Resulting Numbers: [97]
97,76 unequal: No Solution
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 76:[96, 37], Operations: ['67-48=19', '18+19=37']
Exploring Operation: 96-37=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Exploring Operation: 96*37=3552, Resulting Numbers: [3552]
3552,76 unequal: No Solution
Exploring Operation: 96+37=133, Resulting Numbers: [133]
133,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 76:[19, 114], Operations: ['67-48=19', '18+96=114']
Exploring Operation: 114-19=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 114/19=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 19+114=133, Resulting Numbers: [133]
133,76 unequal: No Solution
Exploring Operation: 19*114=2166, Resulting Numbers: [2166]
2166,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
35,
91,
79,
15
] | 32 |
[
"35+91=126",
"79+15=94",
"126-94=32"
] |
Current State: 32:[35, 91, 79, 15], Operations: []
Exploring Operation: 35+91=126, Resulting Numbers: [79, 15, 126]
Generated Node #2: [79, 15, 126] from Operation: 35+91=126
Current State: 32:[79, 15, 126], Operations: ['35+91=126']
Exploring Operation: 79+15=94, Resulting Numbers: [126, 94]
Generated Node #3: [126, 94] from Operation: 79+15=94
Current State: 32:[126, 94], Operations: ['35+91=126', '79+15=94']
Exploring Operation: 126-94=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[35, 91, 79, 15], Operations: []
Exploring Operation: 79-15=64, Resulting Numbers: [35, 91, 64]
Generated Node #0,0: 32:[35, 91, 64] Operation: 79-15=64
Exploring Operation: 79-35=44, Resulting Numbers: [91, 15, 44]
Generated Node #0,1: 32:[91, 15, 44] Operation: 79-35=44
Exploring Operation: 91-35=56, Resulting Numbers: [79, 15, 56]
Generated Node #0,2: 32:[79, 15, 56] Operation: 91-35=56
Exploring Operation: 91-15=76, Resulting Numbers: [35, 79, 76]
Generated Node #0,3: 32:[35, 79, 76] Operation: 91-15=76
Exploring Operation: 91-79=12, Resulting Numbers: [35, 15, 12]
Generated Node #0,4: 32:[35, 15, 12] Operation: 91-79=12
Moving to Node #0,4
Current State: 32:[35, 15, 12], Operations: ['91-79=12']
Exploring Operation: 35+12=47, Resulting Numbers: [15, 47]
Generated Node #0,4,0: 32:[15, 47] Operation: 35+12=47
Exploring Operation: 15+12=27, Resulting Numbers: [35, 27]
Generated Node #0,4,1: 32:[35, 27] Operation: 15+12=27
Exploring Operation: 35-12=23, Resulting Numbers: [15, 23]
Generated Node #0,4,2: 32:[15, 23] Operation: 35-12=23
Exploring Operation: 15-12=3, Resulting Numbers: [35, 3]
Generated Node #0,4,3: 32:[35, 3] Operation: 15-12=3
Exploring Operation: 35-15=20, Resulting Numbers: [12, 20]
Generated Node #0,4,4: 32:[12, 20] Operation: 35-15=20
Moving to Node #0,2
Current State: 32:[79, 15, 56], Operations: ['91-35=56']
Exploring Operation: 56-15=41, Resulting Numbers: [79, 41]
Generated Node #0,2,0: 32:[79, 41] Operation: 56-15=41
Exploring Operation: 79-56=23, Resulting Numbers: [15, 23]
Generated Node #0,2,1: 32:[15, 23] Operation: 79-56=23
Exploring Operation: 15+56=71, Resulting Numbers: [79, 71]
Generated Node #0,2,2: 32:[79, 71] Operation: 15+56=71
Exploring Operation: 79+15=94, Resulting Numbers: [56, 94]
Generated Node #0,2,3: 32:[56, 94] Operation: 79+15=94
Exploring Operation: 79-15=64, Resulting Numbers: [56, 64]
Generated Node #0,2,4: 32:[56, 64] Operation: 79-15=64
Moving to Node #0,1
Current State: 32:[91, 15, 44], Operations: ['79-35=44']
Exploring Operation: 91+15=106, Resulting Numbers: [44, 106]
Generated Node #0,1,0: 32:[44, 106] Operation: 91+15=106
Exploring Operation: 91-44=47, Resulting Numbers: [15, 47]
Generated Node #0,1,1: 32:[15, 47] Operation: 91-44=47
Exploring Operation: 91-15=76, Resulting Numbers: [44, 76]
Generated Node #0,1,2: 32:[44, 76] Operation: 91-15=76
Exploring Operation: 15+44=59, Resulting Numbers: [91, 59]
Generated Node #0,1,3: 32:[91, 59] Operation: 15+44=59
Exploring Operation: 44-15=29, Resulting Numbers: [91, 29]
Generated Node #0,1,4: 32:[91, 29] Operation: 44-15=29
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 32:[15, 47], Operations: ['79-35=44', '91-44=47']
Exploring Operation: 15+47=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 15*47=705, Resulting Numbers: [705]
705,32 unequal: No Solution
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[35, 91, 79, 15], Operations: []
Exploring Operation: 79-35=44, Resulting Numbers: [91, 15, 44]
Generated Node #0,1: 32:[91, 15, 44] Operation: 79-35=44
Moving to Node #0,1
Current State: 32:[91, 15, 44], Operations: ['79-35=44']
Exploring Operation: 91-44=47, Resulting Numbers: [15, 47]
Generated Node #0,1,1: 32:[15, 47] Operation: 91-44=47
Moving to Node #0,1,1
Current State: 32:[15, 47], Operations: ['79-35=44', '91-44=47']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 |
hs_5
|
mult_heuristic
|
[
41,
56,
47,
25
] | 75 |
[
"41+56=97",
"47-25=22",
"97-22=75"
] |
Current State: 75:[41, 56, 47, 25], Operations: []
Exploring Operation: 41+56=97, Resulting Numbers: [47, 25, 97]
Generated Node #2: [47, 25, 97] from Operation: 41+56=97
Current State: 75:[47, 25, 97], Operations: ['41+56=97']
Exploring Operation: 47-25=22, Resulting Numbers: [97, 22]
Generated Node #3: [97, 22] from Operation: 47-25=22
Current State: 75:[97, 22], Operations: ['41+56=97', '47-25=22']
Exploring Operation: 97-22=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[41, 56, 47, 25], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [47, 25, 15]
Generated Node #0,0: 75:[47, 25, 15] Operation: 56-41=15
Exploring Operation: 56-47=9, Resulting Numbers: [41, 25, 9]
Generated Node #0,1: 75:[41, 25, 9] Operation: 56-47=9
Exploring Operation: 47-41=6, Resulting Numbers: [56, 25, 6]
Generated Node #0,2: 75:[56, 25, 6] Operation: 47-41=6
Exploring Operation: 41+47=88, Resulting Numbers: [56, 25, 88]
Generated Node #0,3: 75:[56, 25, 88] Operation: 41+47=88
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[41, 25, 9], Operations: ['56-47=9']
Exploring Operation: 41-25=16, Resulting Numbers: [9, 16]
Generated Node #0,1,0: 75:[9, 16] Operation: 41-25=16
Exploring Operation: 41-9=32, Resulting Numbers: [25, 32]
Generated Node #0,1,1: 75:[25, 32] Operation: 41-9=32
Exploring Operation: 41+25=66, Resulting Numbers: [9, 66]
Generated Node #0,1,2: 75:[9, 66] Operation: 41+25=66
Exploring Operation: 25-9=16, Resulting Numbers: [41, 16]
Generated Node #0,1,3: 75:[41, 16] Operation: 25-9=16
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[9, 16], Operations: ['56-47=9', '41-25=16']
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,75 unequal: No Solution
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[25, 32], Operations: ['56-47=9', '41-9=32']
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 25+32=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Exploring Operation: 25*32=800, Resulting Numbers: [800]
800,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[9, 66], Operations: ['56-47=9', '41+25=66']
Exploring Operation: 9*66=594, Resulting Numbers: [594]
594,75 unequal: No Solution
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,75 unequal: No Solution
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[41, 56, 47, 25], Operations: []
Exploring Operation: 56-47=9, Resulting Numbers: [41, 25, 9]
Generated Node #0,1: 75:[41, 25, 9] Operation: 56-47=9
Moving to Node #0,1
Current State: 75:[41, 25, 9], Operations: ['56-47=9']
Exploring Operation: 41+25=66, Resulting Numbers: [9, 66]
Generated Node #0,1,2: 75:[9, 66] Operation: 41+25=66
Moving to Node #0,1,2
Current State: 75:[9, 66], Operations: ['56-47=9', '41+25=66']
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 |
hs_4
|
sum_heuristic
|
[
11,
5,
37,
50
] | 54 |
[
"50-37=13",
"5*13=65",
"65-11=54"
] |
Current State: 54:[11, 5, 37, 50], Operations: []
Exploring Operation: 50-37=13, Resulting Numbers: [11, 5, 13]
Generated Node #2: [11, 5, 13] from Operation: 50-37=13
Current State: 54:[11, 5, 13], Operations: ['50-37=13']
Exploring Operation: 5*13=65, Resulting Numbers: [11, 65]
Generated Node #3: [11, 65] from Operation: 5*13=65
Current State: 54:[11, 65], Operations: ['50-37=13', '5*13=65']
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[11, 5, 37, 50], Operations: []
Exploring Operation: 37-11=26, Resulting Numbers: [5, 50, 26]
Generated Node #0,0: 54:[5, 50, 26] Operation: 37-11=26
Exploring Operation: 50-37=13, Resulting Numbers: [11, 5, 13]
Generated Node #0,1: 54:[11, 5, 13] Operation: 50-37=13
Exploring Operation: 11+37=48, Resulting Numbers: [5, 50, 48]
Generated Node #0,2: 54:[5, 50, 48] Operation: 11+37=48
Exploring Operation: 37-5=32, Resulting Numbers: [11, 50, 32]
Generated Node #0,3: 54:[11, 50, 32] Operation: 37-5=32
Moving to Node #0,0
Current State: 54:[5, 50, 26], Operations: ['37-11=26']
Exploring Operation: 50-26=24, Resulting Numbers: [5, 24]
Generated Node #0,0,0: 54:[5, 24] Operation: 50-26=24
Exploring Operation: 5+50=55, Resulting Numbers: [26, 55]
Generated Node #0,0,1: 54:[26, 55] Operation: 5+50=55
Exploring Operation: 26-5=21, Resulting Numbers: [50, 21]
Generated Node #0,0,2: 54:[50, 21] Operation: 26-5=21
Exploring Operation: 50/5=10, Resulting Numbers: [26, 10]
Generated Node #0,0,3: 54:[26, 10] Operation: 50/5=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[26, 55], Operations: ['37-11=26', '5+50=55']
Exploring Operation: 26+55=81, Resulting Numbers: [81]
81,54 unequal: No Solution
Exploring Operation: 26*55=1430, Resulting Numbers: [1430]
1430,54 unequal: No Solution
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 54:[26, 10], Operations: ['37-11=26', '50/5=10']
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[5, 24], Operations: ['37-11=26', '50-26=24']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,54 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,54 unequal: No Solution
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 54:[50, 21], Operations: ['37-11=26', '26-5=21']
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,54 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Exploring Operation: 50*21=1050, Resulting Numbers: [1050]
1050,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 54:[11, 5, 13], Operations: ['50-37=13']
Exploring Operation: 13-11=2, Resulting Numbers: [5, 2]
Generated Node #0,1,0: 54:[5, 2] Operation: 13-11=2
Exploring Operation: 5+13=18, Resulting Numbers: [11, 18]
Generated Node #0,1,1: 54:[11, 18] Operation: 5+13=18
Exploring Operation: 13-5=8, Resulting Numbers: [11, 8]
Generated Node #0,1,2: 54:[11, 8] Operation: 13-5=8
Exploring Operation: 11-5=6, Resulting Numbers: [13, 6]
Generated Node #0,1,3: 54:[13, 6] Operation: 11-5=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 54:[5, 2], Operations: ['50-37=13', '13-11=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[11, 18], Operations: ['50-37=13', '5+13=18']
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 54:[11, 8], Operations: ['50-37=13', '13-5=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,54 unequal: No Solution
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,54 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 54:[13, 6], Operations: ['50-37=13', '11-5=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,54 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 54:[11, 50, 32], Operations: ['37-5=32']
Exploring Operation: 11+50=61, Resulting Numbers: [32, 61]
Generated Node #0,3,0: 54:[32, 61] Operation: 11+50=61
Exploring Operation: 11+32=43, Resulting Numbers: [50, 43]
Generated Node #0,3,1: 54:[50, 43] Operation: 11+32=43
Exploring Operation: 32-11=21, Resulting Numbers: [50, 21]
Generated Node #0,3,2: 54:[50, 21] Operation: 32-11=21
Exploring Operation: 50-32=18, Resulting Numbers: [11, 18]
Generated Node #0,3,3: 54:[11, 18] Operation: 50-32=18
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 54:[11, 18], Operations: ['37-5=32', '50-32=18']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,54 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 54:[50, 21], Operations: ['37-5=32', '32-11=21']
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,54 unequal: No Solution
Exploring Operation: 50*21=1050, Resulting Numbers: [1050]
1050,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 54:[32, 61], Operations: ['37-5=32', '11+50=61']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Exploring Operation: 32*61=1952, Resulting Numbers: [1952]
1952,54 unequal: No Solution
Exploring Operation: 32+61=93, Resulting Numbers: [93]
93,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 54:[50, 43], Operations: ['37-5=32', '11+32=43']
Exploring Operation: 50-43=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 50+43=93, Resulting Numbers: [93]
93,54 unequal: No Solution
Exploring Operation: 50*43=2150, Resulting Numbers: [2150]
2150,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 54:[5, 50, 48], Operations: ['11+37=48']
Exploring Operation: 50-48=2, Resulting Numbers: [5, 2]
Generated Node #0,2,0: 54:[5, 2] Operation: 50-48=2
Exploring Operation: 50/5=10, Resulting Numbers: [48, 10]
Generated Node #0,2,1: 54:[48, 10] Operation: 50/5=10
Exploring Operation: 5+50=55, Resulting Numbers: [48, 55]
Generated Node #0,2,2: 54:[48, 55] Operation: 5+50=55
Exploring Operation: 5+48=53, Resulting Numbers: [50, 53]
Generated Node #0,2,3: 54:[50, 53] Operation: 5+48=53
Moving to Node #0,2,0
Current State: 54:[5, 2], Operations: ['11+37=48', '50-48=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Moving to Node #0,2,3
Current State: 54:[50, 53], Operations: ['11+37=48', '5+48=53']
Exploring Operation: 50+53=103, Resulting Numbers: [103]
103,54 unequal: No Solution
Exploring Operation: 50*53=2650, Resulting Numbers: [2650]
2650,54 unequal: No Solution
Exploring Operation: 53-50=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Moving to Node #0,2,2
Current State: 54:[48, 55], Operations: ['11+37=48', '5+50=55']
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 48*55=2640, Resulting Numbers: [2640]
2640,54 unequal: No Solution
Exploring Operation: 48+55=103, Resulting Numbers: [103]
103,54 unequal: No Solution
Moving to Node #0,2,1
Current State: 54:[48, 10], Operations: ['11+37=48', '50/5=10']
Exploring Operation: 48*10=480, Resulting Numbers: [480]
480,54 unequal: No Solution
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,54 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,54 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
11,
92,
2,
90
] | 26 |
[
"11+92=103",
"103-90=13",
"2*13=26"
] |
Current State: 26:[11, 92, 2, 90], Operations: []
Exploring Operation: 11+92=103, Resulting Numbers: [2, 90, 103]
Generated Node #2: [2, 90, 103] from Operation: 11+92=103
Current State: 26:[2, 90, 103], Operations: ['11+92=103']
Exploring Operation: 103-90=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 103-90=13
Current State: 26:[2, 13], Operations: ['11+92=103', '103-90=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[11, 92, 2, 90], Operations: []
Exploring Operation: 90/2=45, Resulting Numbers: [11, 92, 45]
Generated Node #0,0: 26:[11, 92, 45] Operation: 90/2=45
Exploring Operation: 90-11=79, Resulting Numbers: [92, 2, 79]
Generated Node #0,1: 26:[92, 2, 79] Operation: 90-11=79
Exploring Operation: 92-11=81, Resulting Numbers: [2, 90, 81]
Generated Node #0,2: 26:[2, 90, 81] Operation: 92-11=81
Exploring Operation: 92/2=46, Resulting Numbers: [11, 90, 46]
Generated Node #0,3: 26:[11, 90, 46] Operation: 92/2=46
Exploring Operation: 92-90=2, Resulting Numbers: [11, 2, 2]
Generated Node #0,4: 26:[11, 2, 2] Operation: 92-90=2
Start Sub Search at level 1: Moving to Node #0,4
Current State: 26:[11, 2, 2], Operations: ['92-90=2']
Exploring Operation: 2/2=1, Resulting Numbers: [11, 1]
Generated Node #0,4,0: 26:[11, 1] Operation: 2/2=1
Exploring Operation: 11*2=22, Resulting Numbers: [2, 22]
Generated Node #0,4,1: 26:[2, 22] Operation: 11*2=22
Exploring Operation: 11+2=13, Resulting Numbers: [2, 13]
Generated Node #0,4,2: 26:[2, 13] Operation: 11+2=13
Exploring Operation: 11+2=13, Resulting Numbers: [2, 13]
Generated Node #0,4,3: 26:[2, 13] Operation: 11+2=13
Exploring Operation: 11-2=9, Resulting Numbers: [2, 9]
Generated Node #0,4,4: 26:[2, 9] Operation: 11-2=9
Moving to Node #0,4,2
Current State: 26:[2, 13], Operations: ['92-90=2', '11+2=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[11, 92, 2, 90], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [11, 2, 2]
Generated Node #0,4: 26:[11, 2, 2] Operation: 92-90=2
Moving to Node #0,4
Current State: 26:[11, 2, 2], Operations: ['92-90=2']
Exploring Operation: 11+2=13, Resulting Numbers: [2, 13]
Generated Node #0,4,2: 26:[2, 13] Operation: 11+2=13
Moving to Node #0,4,2
Current State: 26:[2, 13], Operations: ['92-90=2', '11+2=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
sum_heuristic
|
[
51,
74,
40,
70
] | 61 |
[
"74-70=4",
"40/4=10",
"51+10=61"
] |
Current State: 61:[51, 74, 40, 70], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [51, 40, 4]
Generated Node #2: [51, 40, 4] from Operation: 74-70=4
Current State: 61:[51, 40, 4], Operations: ['74-70=4']
Exploring Operation: 40/4=10, Resulting Numbers: [51, 10]
Generated Node #3: [51, 10] from Operation: 40/4=10
Current State: 61:[51, 10], Operations: ['74-70=4', '40/4=10']
Exploring Operation: 51+10=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
Current State: 61:[51, 74, 40, 70], Operations: []
Exploring Operation: 74-40=34, Resulting Numbers: [51, 70, 34]
Generated Node #0,0: 61:[51, 70, 34] Operation: 74-40=34
Exploring Operation: 51+40=91, Resulting Numbers: [74, 70, 91]
Generated Node #0,1: 61:[74, 70, 91] Operation: 51+40=91
Exploring Operation: 70-40=30, Resulting Numbers: [51, 74, 30]
Generated Node #0,2: 61:[51, 74, 30] Operation: 70-40=30
Moving to Node #0,0
Current State: 61:[51, 70, 34], Operations: ['74-40=34']
Exploring Operation: 51-34=17, Resulting Numbers: [70, 17]
Generated Node #0,0,0: 61:[70, 17] Operation: 51-34=17
Exploring Operation: 51+34=85, Resulting Numbers: [70, 85]
Generated Node #0,0,1: 61:[70, 85] Operation: 51+34=85
Exploring Operation: 70-34=36, Resulting Numbers: [51, 36]
Generated Node #0,0,2: 61:[51, 36] Operation: 70-34=36
Moving to Node #0,1
Current State: 61:[74, 70, 91], Operations: ['51+40=91']
Exploring Operation: 74-70=4, Resulting Numbers: [91, 4]
Generated Node #0,1,0: 61:[91, 4] Operation: 74-70=4
Exploring Operation: 91-70=21, Resulting Numbers: [74, 21]
Generated Node #0,1,1: 61:[74, 21] Operation: 91-70=21
Exploring Operation: 91-74=17, Resulting Numbers: [70, 17]
Generated Node #0,1,2: 61:[70, 17] Operation: 91-74=17
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[74, 21], Operations: ['51+40=91', '91-70=21']
Exploring Operation: 74*21=1554, Resulting Numbers: [1554]
1554,61 unequal: No Solution
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,61 unequal: No Solution
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 61:[70, 17], Operations: ['51+40=91', '91-74=17']
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,61 unequal: No Solution
Exploring Operation: 70+17=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Exploring Operation: 70*17=1190, Resulting Numbers: [1190]
1190,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[91, 4], Operations: ['51+40=91', '74-70=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,61 unequal: No Solution
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Exploring Operation: 91*4=364, Resulting Numbers: [364]
364,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 61:[51, 74, 30], Operations: ['70-40=30']
Exploring Operation: 51-30=21, Resulting Numbers: [74, 21]
Generated Node #0,2,0: 61:[74, 21] Operation: 51-30=21
Exploring Operation: 74-30=44, Resulting Numbers: [51, 44]
Generated Node #0,2,1: 61:[51, 44] Operation: 74-30=44
Exploring Operation: 51+30=81, Resulting Numbers: [74, 81]
Generated Node #0,2,2: 61:[74, 81] Operation: 51+30=81
Moving to Node #0,2,1
Current State: 61:[51, 44], Operations: ['70-40=30', '74-30=44']
Exploring Operation: 51*44=2244, Resulting Numbers: [2244]
2244,61 unequal: No Solution
Exploring Operation: 51-44=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 51+44=95, Resulting Numbers: [95]
95,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[70, 85], Operations: ['74-40=34', '51+34=85']
Exploring Operation: 70*85=5950, Resulting Numbers: [5950]
5950,61 unequal: No Solution
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 70+85=155, Resulting Numbers: [155]
155,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[74, 81], Operations: ['70-40=30', '51+30=81']
Exploring Operation: 74*81=5994, Resulting Numbers: [5994]
5994,61 unequal: No Solution
Exploring Operation: 81-74=7, Resulting Numbers: [7]
7,61 unequal: No Solution
Exploring Operation: 74+81=155, Resulting Numbers: [155]
155,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[51, 36], Operations: ['74-40=34', '70-34=36']
Exploring Operation: 51+36=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Exploring Operation: 51*36=1836, Resulting Numbers: [1836]
1836,61 unequal: No Solution
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[74, 21], Operations: ['70-40=30', '51-30=21']
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,61 unequal: No Solution
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,61 unequal: No Solution
Exploring Operation: 74*21=1554, Resulting Numbers: [1554]
1554,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[70, 17], Operations: ['74-40=34', '51-34=17']
Exploring Operation: 70*17=1190, Resulting Numbers: [1190]
1190,61 unequal: No Solution
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,61 unequal: No Solution
Exploring Operation: 70+17=87, Resulting Numbers: [87]
87,61 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
23,
21,
45,
69
] | 18 |
[
"69/23=3",
"21*3=63",
"63-45=18"
] |
Current State: 18:[23, 21, 45, 69], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [21, 45, 3]
Generated Node #2: [21, 45, 3] from Operation: 69/23=3
Current State: 18:[21, 45, 3], Operations: ['69/23=3']
Exploring Operation: 21*3=63, Resulting Numbers: [45, 63]
Generated Node #3: [45, 63] from Operation: 21*3=63
Current State: 18:[45, 63], Operations: ['69/23=3', '21*3=63']
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
Current State: 18:[23, 21, 45, 69], Operations: []
Exploring Operation: 45-21=24, Resulting Numbers: [23, 69, 24]
Generated Node #0,0: 18:[23, 69, 24] Operation: 45-21=24
Exploring Operation: 69-23=46, Resulting Numbers: [21, 45, 46]
Generated Node #0,1: 18:[21, 45, 46] Operation: 69-23=46
Exploring Operation: 45-23=22, Resulting Numbers: [21, 69, 22]
Generated Node #0,2: 18:[21, 69, 22] Operation: 45-23=22
Exploring Operation: 69-45=24, Resulting Numbers: [23, 21, 24]
Generated Node #0,3: 18:[23, 21, 24] Operation: 69-45=24
Exploring Operation: 69/23=3, Resulting Numbers: [21, 45, 3]
Generated Node #0,4: 18:[21, 45, 3] Operation: 69/23=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 18:[23, 21, 24], Operations: ['69-45=24']
Exploring Operation: 23-21=2, Resulting Numbers: [24, 2]
Generated Node #0,3,0: 18:[24, 2] Operation: 23-21=2
Exploring Operation: 23+24=47, Resulting Numbers: [21, 47]
Generated Node #0,3,1: 18:[21, 47] Operation: 23+24=47
Exploring Operation: 23+21=44, Resulting Numbers: [24, 44]
Generated Node #0,3,2: 18:[24, 44] Operation: 23+21=44
Exploring Operation: 24-21=3, Resulting Numbers: [23, 3]
Generated Node #0,3,3: 18:[23, 3] Operation: 24-21=3
Exploring Operation: 24-23=1, Resulting Numbers: [21, 1]
Generated Node #0,3,4: 18:[21, 1] Operation: 24-23=1
Moving to Node #0,3,4
Current State: 18:[21, 1], Operations: ['69-45=24', '24-23=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Moving to Node #0,3,3
Current State: 18:[23, 3], Operations: ['69-45=24', '24-21=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,18 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,18 unequal: No Solution
Moving to Node #0,3,0
Current State: 18:[24, 2], Operations: ['69-45=24', '23-21=2']
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,18 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,18 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Moving to Node #0,3,1
Current State: 18:[21, 47], Operations: ['69-45=24', '23+24=47']
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,18 unequal: No Solution
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 21*47=987, Resulting Numbers: [987]
987,18 unequal: No Solution
Moving to Node #0,3,2
Current State: 18:[24, 44], Operations: ['69-45=24', '23+21=44']
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 24*44=1056, Resulting Numbers: [1056]
1056,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 18:[21, 45, 3], Operations: ['69/23=3']
Exploring Operation: 45-21=24, Resulting Numbers: [3, 24]
Generated Node #0,4,0: 18:[3, 24] Operation: 45-21=24
Exploring Operation: 45/3=15, Resulting Numbers: [21, 15]
Generated Node #0,4,1: 18:[21, 15] Operation: 45/3=15
Exploring Operation: 45-3=42, Resulting Numbers: [21, 42]
Generated Node #0,4,2: 18:[21, 42] Operation: 45-3=42
Exploring Operation: 21/3=7, Resulting Numbers: [45, 7]
Generated Node #0,4,3: 18:[45, 7] Operation: 21/3=7
Exploring Operation: 21-3=18, Resulting Numbers: [45, 18]
Generated Node #0,4,4: 18:[45, 18] Operation: 21-3=18
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 18:[3, 24], Operations: ['69/23=3', '45-21=24']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 18:[21, 15], Operations: ['69/23=3', '45/3=15']
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,18 unequal: No Solution
Exploring Operation: 21*15=315, Resulting Numbers: [315]
315,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 18:[21, 42], Operations: ['69/23=3', '45-3=42']
Exploring Operation: 21+42=63, Resulting Numbers: [63]
63,18 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 21*42=882, Resulting Numbers: [882]
882,18 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 18:[45, 18], Operations: ['69/23=3', '21-3=18']
Exploring Operation: 45+18=63, Resulting Numbers: [63]
63,18 unequal: No Solution
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 45*18=810, Resulting Numbers: [810]
810,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 18:[45, 7], Operations: ['69/23=3', '21/3=7']
Exploring Operation: 45*7=315, Resulting Numbers: [315]
315,18 unequal: No Solution
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,18 unequal: No Solution
Exploring Operation: 45+7=52, Resulting Numbers: [52]
52,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[21, 45, 46], Operations: ['69-23=46']
Exploring Operation: 21+45=66, Resulting Numbers: [46, 66]
Generated Node #0,1,0: 18:[46, 66] Operation: 21+45=66
Exploring Operation: 45-21=24, Resulting Numbers: [46, 24]
Generated Node #0,1,1: 18:[46, 24] Operation: 45-21=24
Exploring Operation: 21+46=67, Resulting Numbers: [45, 67]
Generated Node #0,1,2: 18:[45, 67] Operation: 21+46=67
Exploring Operation: 46-45=1, Resulting Numbers: [21, 1]
Generated Node #0,1,3: 18:[21, 1] Operation: 46-45=1
Exploring Operation: 46-21=25, Resulting Numbers: [45, 25]
Generated Node #0,1,4: 18:[45, 25] Operation: 46-21=25
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 18:[21, 1], Operations: ['69-23=46', '46-45=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 18:[46, 24], Operations: ['69-23=46', '45-21=24']
Exploring Operation: 46*24=1104, Resulting Numbers: [1104]
1104,18 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 18:[45, 25], Operations: ['69-23=46', '46-21=25']
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,18 unequal: No Solution
Exploring Operation: 45*25=1125, Resulting Numbers: [1125]
1125,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 18:[46, 66], Operations: ['69-23=46', '21+45=66']
Exploring Operation: 46+66=112, Resulting Numbers: [112]
112,18 unequal: No Solution
Exploring Operation: 66-46=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Exploring Operation: 46*66=3036, Resulting Numbers: [3036]
3036,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 18:[45, 67], Operations: ['69-23=46', '21+46=67']
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 45*67=3015, Resulting Numbers: [3015]
3015,18 unequal: No Solution
Exploring Operation: 45+67=112, Resulting Numbers: [112]
112,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[21, 69, 22], Operations: ['45-23=22']
Exploring Operation: 21+69=90, Resulting Numbers: [22, 90]
Generated Node #0,2,0: 18:[22, 90] Operation: 21+69=90
Exploring Operation: 69-21=48, Resulting Numbers: [22, 48]
Generated Node #0,2,1: 18:[22, 48] Operation: 69-21=48
Exploring Operation: 21+22=43, Resulting Numbers: [69, 43]
Generated Node #0,2,2: 18:[69, 43] Operation: 21+22=43
Exploring Operation: 69-22=47, Resulting Numbers: [21, 47]
Generated Node #0,2,3: 18:[21, 47] Operation: 69-22=47
Exploring Operation: 22-21=1, Resulting Numbers: [69, 1]
Generated Node #0,2,4: 18:[69, 1] Operation: 22-21=1
Moving to Node #0,2,3
Current State: 18:[21, 47], Operations: ['45-23=22', '69-22=47']
Exploring Operation: 21*47=987, Resulting Numbers: [987]
987,18 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,18 unequal: No Solution
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Moving to Node #0,2,1
Current State: 18:[22, 48], Operations: ['45-23=22', '69-21=48']
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,18 unequal: No Solution
Exploring Operation: 22*48=1056, Resulting Numbers: [1056]
1056,18 unequal: No Solution
Exploring Operation: 22+48=70, Resulting Numbers: [70]
70,18 unequal: No Solution
Moving to Node #0,2,4
Current State: 18:[69, 1], Operations: ['45-23=22', '22-21=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,18 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,18 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,18 unequal: No Solution
Moving to Node #0,2,0
Current State: 18:[22, 90], Operations: ['45-23=22', '21+69=90']
Exploring Operation: 90-22=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 22+90=112, Resulting Numbers: [112]
112,18 unequal: No Solution
Exploring Operation: 22*90=1980, Resulting Numbers: [1980]
1980,18 unequal: No Solution
Moving to Node #0,2,2
Current State: 18:[69, 43], Operations: ['45-23=22', '21+22=43']
Exploring Operation: 69*43=2967, Resulting Numbers: [2967]
2967,18 unequal: No Solution
Exploring Operation: 69-43=26, Resulting Numbers: [26]
26,18 unequal: No Solution
Exploring Operation: 69+43=112, Resulting Numbers: [112]
112,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[23, 69, 24], Operations: ['45-21=24']
Exploring Operation: 69/23=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 18:[24, 3] Operation: 69/23=3
Exploring Operation: 24-23=1, Resulting Numbers: [69, 1]
Generated Node #0,0,1: 18:[69, 1] Operation: 24-23=1
Exploring Operation: 69-24=45, Resulting Numbers: [23, 45]
Generated Node #0,0,2: 18:[23, 45] Operation: 69-24=45
Exploring Operation: 23+69=92, Resulting Numbers: [24, 92]
Generated Node #0,0,3: 18:[24, 92] Operation: 23+69=92
Exploring Operation: 69-23=46, Resulting Numbers: [24, 46]
Generated Node #0,0,4: 18:[24, 46] Operation: 69-23=46
Moving to Node #0,0,0
Current State: 18:[24, 3], Operations: ['45-21=24', '69/23=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,18 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[23, 45], Operations: ['45-21=24', '69-24=45']
Exploring Operation: 23*45=1035, Resulting Numbers: [1035]
1035,18 unequal: No Solution
Exploring Operation: 23+45=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Moving to Node #0,0,4
Current State: 18:[24, 46], Operations: ['45-21=24', '69-23=46']
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,18 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 24*46=1104, Resulting Numbers: [1104]
1104,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[69, 1], Operations: ['45-21=24', '24-23=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,18 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,18 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,18 unequal: No Solution
Moving to Node #0,0,3
Current State: 18:[24, 92], Operations: ['45-21=24', '23+69=92']
Exploring Operation: 24*92=2208, Resulting Numbers: [2208]
2208,18 unequal: No Solution
Exploring Operation: 24+92=116, Resulting Numbers: [116]
116,18 unequal: No Solution
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
97,
52,
16,
86
] | 47 |
[
"97+52=149",
"16+86=102",
"149-102=47"
] |
Current State: 47:[97, 52, 16, 86], Operations: []
Exploring Operation: 97+52=149, Resulting Numbers: [16, 86, 149]
Generated Node #2: [16, 86, 149] from Operation: 97+52=149
Current State: 47:[16, 86, 149], Operations: ['97+52=149']
Exploring Operation: 16+86=102, Resulting Numbers: [149, 102]
Generated Node #3: [149, 102] from Operation: 16+86=102
Current State: 47:[149, 102], Operations: ['97+52=149', '16+86=102']
Exploring Operation: 149-102=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
Current State: 47:[97, 52, 16, 86], Operations: []
Exploring Operation: 97-52=45, Resulting Numbers: [16, 86, 45]
Generated Node #0,0: 47:[16, 86, 45] Operation: 97-52=45
Exploring Operation: 97-16=81, Resulting Numbers: [52, 86, 81]
Generated Node #0,1: 47:[52, 86, 81] Operation: 97-16=81
Exploring Operation: 86-16=70, Resulting Numbers: [97, 52, 70]
Generated Node #0,2: 47:[97, 52, 70] Operation: 86-16=70
Exploring Operation: 97-86=11, Resulting Numbers: [52, 16, 11]
Generated Node #0,3: 47:[52, 16, 11] Operation: 97-86=11
Moving to Node #0,0
Current State: 47:[16, 86, 45], Operations: ['97-52=45']
Exploring Operation: 16+45=61, Resulting Numbers: [86, 61]
Generated Node #0,0,0: 47:[86, 61] Operation: 16+45=61
Exploring Operation: 86-45=41, Resulting Numbers: [16, 41]
Generated Node #0,0,1: 47:[16, 41] Operation: 86-45=41
Exploring Operation: 16+86=102, Resulting Numbers: [45, 102]
Generated Node #0,0,2: 47:[45, 102] Operation: 16+86=102
Exploring Operation: 86-16=70, Resulting Numbers: [45, 70]
Generated Node #0,0,3: 47:[45, 70] Operation: 86-16=70
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 47:[45, 70], Operations: ['97-52=45', '86-16=70']
Exploring Operation: 45*70=3150, Resulting Numbers: [3150]
3150,47 unequal: No Solution
Exploring Operation: 45+70=115, Resulting Numbers: [115]
115,47 unequal: No Solution
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[16, 41], Operations: ['97-52=45', '86-45=41']
Exploring Operation: 16+41=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 16*41=656, Resulting Numbers: [656]
656,47 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[86, 61], Operations: ['97-52=45', '16+45=61']
Exploring Operation: 86+61=147, Resulting Numbers: [147]
147,47 unequal: No Solution
Exploring Operation: 86*61=5246, Resulting Numbers: [5246]
5246,47 unequal: No Solution
Exploring Operation: 86-61=25, Resulting Numbers: [25]
25,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[45, 102], Operations: ['97-52=45', '16+86=102']
Exploring Operation: 102-45=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 45*102=4590, Resulting Numbers: [4590]
4590,47 unequal: No Solution
Exploring Operation: 45+102=147, Resulting Numbers: [147]
147,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 47:[52, 16, 11], Operations: ['97-86=11']
Exploring Operation: 52-11=41, Resulting Numbers: [16, 41]
Generated Node #0,3,0: 47:[16, 41] Operation: 52-11=41
Exploring Operation: 16+11=27, Resulting Numbers: [52, 27]
Generated Node #0,3,1: 47:[52, 27] Operation: 16+11=27
Exploring Operation: 52+11=63, Resulting Numbers: [16, 63]
Generated Node #0,3,2: 47:[16, 63] Operation: 52+11=63
Exploring Operation: 52-16=36, Resulting Numbers: [11, 36]
Generated Node #0,3,3: 47:[11, 36] Operation: 52-16=36
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 47:[52, 27], Operations: ['97-86=11', '16+11=27']
Exploring Operation: 52*27=1404, Resulting Numbers: [1404]
1404,47 unequal: No Solution
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,47 unequal: No Solution
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 47:[16, 41], Operations: ['97-86=11', '52-11=41']
Exploring Operation: 16+41=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,47 unequal: No Solution
Exploring Operation: 16*41=656, Resulting Numbers: [656]
656,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 47:[16, 63], Operations: ['97-86=11', '52+11=63']
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,47 unequal: No Solution
Exploring Operation: 16*63=1008, Resulting Numbers: [1008]
1008,47 unequal: No Solution
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[97, 52, 16, 86], Operations: []
Exploring Operation: 97-86=11, Resulting Numbers: [52, 16, 11]
Generated Node #0,3: 47:[52, 16, 11] Operation: 97-86=11
Moving to Node #0,3
Current State: 47:[52, 16, 11], Operations: ['97-86=11']
Exploring Operation: 52+11=63, Resulting Numbers: [16, 63]
Generated Node #0,3,2: 47:[16, 63] Operation: 52+11=63
Moving to Node #0,3,2
Current State: 47:[16, 63], Operations: ['97-86=11', '52+11=63']
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 |
hs_4
|
mult_heuristic
|
[
6,
62,
55,
75
] | 58 |
[
"75-55=20",
"6*20=120",
"120-62=58"
] |
Current State: 58:[6, 62, 55, 75], Operations: []
Exploring Operation: 75-55=20, Resulting Numbers: [6, 62, 20]
Generated Node #2: [6, 62, 20] from Operation: 75-55=20
Current State: 58:[6, 62, 20], Operations: ['75-55=20']
Exploring Operation: 6*20=120, Resulting Numbers: [62, 120]
Generated Node #3: [62, 120] from Operation: 6*20=120
Current State: 58:[62, 120], Operations: ['75-55=20', '6*20=120']
Exploring Operation: 120-62=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
Current State: 58:[6, 62, 55, 75], Operations: []
Exploring Operation: 75-55=20, Resulting Numbers: [6, 62, 20]
Generated Node #0,0: 58:[6, 62, 20] Operation: 75-55=20
Exploring Operation: 75-62=13, Resulting Numbers: [6, 55, 13]
Generated Node #0,1: 58:[6, 55, 13] Operation: 75-62=13
Exploring Operation: 75-6=69, Resulting Numbers: [62, 55, 69]
Generated Node #0,2: 58:[62, 55, 69] Operation: 75-6=69
Exploring Operation: 62-6=56, Resulting Numbers: [55, 75, 56]
Generated Node #0,3: 58:[55, 75, 56] Operation: 62-6=56
Exploring Operation: 6+55=61, Resulting Numbers: [62, 75, 61]
Generated Node #0,4: 58:[62, 75, 61] Operation: 6+55=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[6, 62, 20], Operations: ['75-55=20']
Exploring Operation: 20-6=14, Resulting Numbers: [62, 14]
Generated Node #0,0,0: 58:[62, 14] Operation: 20-6=14
Exploring Operation: 6+62=68, Resulting Numbers: [20, 68]
Generated Node #0,0,1: 58:[20, 68] Operation: 6+62=68
Exploring Operation: 62-6=56, Resulting Numbers: [20, 56]
Generated Node #0,0,2: 58:[20, 56] Operation: 62-6=56
Exploring Operation: 62-20=42, Resulting Numbers: [6, 42]
Generated Node #0,0,3: 58:[6, 42] Operation: 62-20=42
Exploring Operation: 6+20=26, Resulting Numbers: [62, 26]
Generated Node #0,0,4: 58:[62, 26] Operation: 6+20=26
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 58:[62, 26], Operations: ['75-55=20', '6+20=26']
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 62+26=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Exploring Operation: 62*26=1612, Resulting Numbers: [1612]
1612,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 58:[20, 56], Operations: ['75-55=20', '62-6=56']
Exploring Operation: 20*56=1120, Resulting Numbers: [1120]
1120,58 unequal: No Solution
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 20+56=76, Resulting Numbers: [76]
76,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[62, 14], Operations: ['75-55=20', '20-6=14']
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 62+14=76, Resulting Numbers: [76]
76,58 unequal: No Solution
Exploring Operation: 62*14=868, Resulting Numbers: [868]
868,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 58:[6, 42], Operations: ['75-55=20', '62-20=42']
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 6*42=252, Resulting Numbers: [252]
252,58 unequal: No Solution
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[20, 68], Operations: ['75-55=20', '6+62=68']
Exploring Operation: 20*68=1360, Resulting Numbers: [1360]
1360,58 unequal: No Solution
Exploring Operation: 68-20=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 20+68=88, Resulting Numbers: [88]
88,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[6, 55, 13], Operations: ['75-62=13']
Exploring Operation: 6+13=19, Resulting Numbers: [55, 19]
Generated Node #0,1,0: 58:[55, 19] Operation: 6+13=19
Exploring Operation: 6+55=61, Resulting Numbers: [13, 61]
Generated Node #0,1,1: 58:[13, 61] Operation: 6+55=61
Exploring Operation: 55+13=68, Resulting Numbers: [6, 68]
Generated Node #0,1,2: 58:[6, 68] Operation: 55+13=68
Exploring Operation: 13-6=7, Resulting Numbers: [55, 7]
Generated Node #0,1,3: 58:[55, 7] Operation: 13-6=7
Exploring Operation: 55-13=42, Resulting Numbers: [6, 42]
Generated Node #0,1,4: 58:[6, 42] Operation: 55-13=42
Moving to Node #0,1,3
Current State: 58:[55, 7], Operations: ['75-62=13', '13-6=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,58 unequal: No Solution
Exploring Operation: 55*7=385, Resulting Numbers: [385]
385,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[55, 19], Operations: ['75-62=13', '6+13=19']
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 55+19=74, Resulting Numbers: [74]
74,58 unequal: No Solution
Exploring Operation: 55*19=1045, Resulting Numbers: [1045]
1045,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[13, 61], Operations: ['75-62=13', '6+55=61']
Exploring Operation: 61-13=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 13+61=74, Resulting Numbers: [74]
74,58 unequal: No Solution
Exploring Operation: 13*61=793, Resulting Numbers: [793]
793,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[6, 68], Operations: ['75-62=13', '55+13=68']
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,58 unequal: No Solution
Exploring Operation: 6*68=408, Resulting Numbers: [408]
408,58 unequal: No Solution
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,58 unequal: No Solution
Moving to Node #0,1,4
Current State: 58:[6, 42], Operations: ['75-62=13', '55-13=42']
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 6*42=252, Resulting Numbers: [252]
252,58 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[62, 55, 69], Operations: ['75-6=69']
Exploring Operation: 62-55=7, Resulting Numbers: [69, 7]
Generated Node #0,2,0: 58:[69, 7] Operation: 62-55=7
Exploring Operation: 69-55=14, Resulting Numbers: [62, 14]
Generated Node #0,2,1: 58:[62, 14] Operation: 69-55=14
Exploring Operation: 69-62=7, Resulting Numbers: [55, 7]
Generated Node #0,2,2: 58:[55, 7] Operation: 69-62=7
Exploring Operation: 55+69=124, Resulting Numbers: [62, 124]
Generated Node #0,2,3: 58:[62, 124] Operation: 55+69=124
Exploring Operation: 62+55=117, Resulting Numbers: [69, 117]
Generated Node #0,2,4: 58:[69, 117] Operation: 62+55=117
Moving to Node #0,2,2
Current State: 58:[55, 7], Operations: ['75-6=69', '69-62=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 55*7=385, Resulting Numbers: [385]
385,58 unequal: No Solution
Exploring Operation: 55+7=62, Resulting Numbers: [62]
62,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[62, 14], Operations: ['75-6=69', '69-55=14']
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 62+14=76, Resulting Numbers: [76]
76,58 unequal: No Solution
Exploring Operation: 62*14=868, Resulting Numbers: [868]
868,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[69, 7], Operations: ['75-6=69', '62-55=7']
Exploring Operation: 69+7=76, Resulting Numbers: [76]
76,58 unequal: No Solution
Exploring Operation: 69*7=483, Resulting Numbers: [483]
483,58 unequal: No Solution
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,58 unequal: No Solution
Moving to Node #0,2,3
Current State: 58:[62, 124], Operations: ['75-6=69', '55+69=124']
Exploring Operation: 62+124=186, Resulting Numbers: [186]
186,58 unequal: No Solution
Exploring Operation: 62*124=7688, Resulting Numbers: [7688]
7688,58 unequal: No Solution
Exploring Operation: 124/62=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 124-62=62, Resulting Numbers: [62]
62,58 unequal: No Solution
Moving to Node #0,2,4
Current State: 58:[69, 117], Operations: ['75-6=69', '62+55=117']
Exploring Operation: 69+117=186, Resulting Numbers: [186]
186,58 unequal: No Solution
Exploring Operation: 117-69=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 69*117=8073, Resulting Numbers: [8073]
8073,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 58:[55, 75, 56], Operations: ['62-6=56']
Exploring Operation: 55+75=130, Resulting Numbers: [56, 130]
Generated Node #0,3,0: 58:[56, 130] Operation: 55+75=130
Exploring Operation: 75-56=19, Resulting Numbers: [55, 19]
Generated Node #0,3,1: 58:[55, 19] Operation: 75-56=19
Exploring Operation: 75-55=20, Resulting Numbers: [56, 20]
Generated Node #0,3,2: 58:[56, 20] Operation: 75-55=20
Exploring Operation: 56-55=1, Resulting Numbers: [75, 1]
Generated Node #0,3,3: 58:[75, 1] Operation: 56-55=1
Exploring Operation: 55+56=111, Resulting Numbers: [75, 111]
Generated Node #0,3,4: 58:[75, 111] Operation: 55+56=111
Moving to Node #0,3,2
Current State: 58:[56, 20], Operations: ['62-6=56', '75-55=20']
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 56*20=1120, Resulting Numbers: [1120]
1120,58 unequal: No Solution
Exploring Operation: 56+20=76, Resulting Numbers: [76]
76,58 unequal: No Solution
Moving to Node #0,3,1
Current State: 58:[55, 19], Operations: ['62-6=56', '75-56=19']
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 55+19=74, Resulting Numbers: [74]
74,58 unequal: No Solution
Exploring Operation: 55*19=1045, Resulting Numbers: [1045]
1045,58 unequal: No Solution
Moving to Node #0,3,3
Current State: 58:[75, 1], Operations: ['62-6=56', '56-55=1']
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,58 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,58 unequal: No Solution
Moving to Node #0,3,4
Current State: 58:[75, 111], Operations: ['62-6=56', '55+56=111']
Exploring Operation: 111-75=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 75+111=186, Resulting Numbers: [186]
186,58 unequal: No Solution
Exploring Operation: 75*111=8325, Resulting Numbers: [8325]
8325,58 unequal: No Solution
Moving to Node #0,3,0
Current State: 58:[56, 130], Operations: ['62-6=56', '55+75=130']
Exploring Operation: 56+130=186, Resulting Numbers: [186]
186,58 unequal: No Solution
Exploring Operation: 130-56=74, Resulting Numbers: [74]
74,58 unequal: No Solution
Exploring Operation: 56*130=7280, Resulting Numbers: [7280]
7280,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 58:[62, 75, 61], Operations: ['6+55=61']
Exploring Operation: 62-61=1, Resulting Numbers: [75, 1]
Generated Node #0,4,0: 58:[75, 1] Operation: 62-61=1
Exploring Operation: 62+61=123, Resulting Numbers: [75, 123]
Generated Node #0,4,1: 58:[75, 123] Operation: 62+61=123
Exploring Operation: 75-61=14, Resulting Numbers: [62, 14]
Generated Node #0,4,2: 58:[62, 14] Operation: 75-61=14
Exploring Operation: 75-62=13, Resulting Numbers: [61, 13]
Generated Node #0,4,3: 58:[61, 13] Operation: 75-62=13
Exploring Operation: 62+75=137, Resulting Numbers: [61, 137]
Generated Node #0,4,4: 58:[61, 137] Operation: 62+75=137
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 58:[61, 13], Operations: ['6+55=61', '75-62=13']
Exploring Operation: 61*13=793, Resulting Numbers: [793]
793,58 unequal: No Solution
Exploring Operation: 61+13=74, Resulting Numbers: [74]
74,58 unequal: No Solution
Exploring Operation: 61-13=48, Resulting Numbers: [48]
48,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 58:[62, 14], Operations: ['6+55=61', '75-61=14']
Exploring Operation: 62*14=868, Resulting Numbers: [868]
868,58 unequal: No Solution
Exploring Operation: 62-14=48, Resulting Numbers: [48]
48,58 unequal: No Solution
Exploring Operation: 62+14=76, Resulting Numbers: [76]
76,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 58:[75, 1], Operations: ['6+55=61', '62-61=1']
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,58 unequal: No Solution
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,58 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 58:[75, 123], Operations: ['6+55=61', '62+61=123']
Exploring Operation: 75*123=9225, Resulting Numbers: [9225]
9225,58 unequal: No Solution
Exploring Operation: 75+123=198, Resulting Numbers: [198]
198,58 unequal: No Solution
Exploring Operation: 123-75=48, Resulting Numbers: [48]
48,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 58:[61, 137], Operations: ['6+55=61', '62+75=137']
Exploring Operation: 137-61=76, Resulting Numbers: [76]
76,58 unequal: No Solution
Exploring Operation: 61+137=198, Resulting Numbers: [198]
198,58 unequal: No Solution
Exploring Operation: 61*137=8357, Resulting Numbers: [8357]
8357,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
20,
52,
86,
69
] | 10 |
[
"20*69=1380",
"52+86=138",
"1380/138=10"
] |
Current State: 10:[20, 52, 86, 69], Operations: []
Exploring Operation: 20*69=1380, Resulting Numbers: [52, 86, 1380]
Generated Node #2: [52, 86, 1380] from Operation: 20*69=1380
Current State: 10:[52, 86, 1380], Operations: ['20*69=1380']
Exploring Operation: 52+86=138, Resulting Numbers: [1380, 138]
Generated Node #3: [1380, 138] from Operation: 52+86=138
Current State: 10:[1380, 138], Operations: ['20*69=1380', '52+86=138']
Exploring Operation: 1380/138=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
Current State: 10:[20, 52, 86, 69], Operations: []
Exploring Operation: 52-20=32, Resulting Numbers: [86, 69, 32]
Generated Node #0,0: 10:[86, 69, 32] Operation: 52-20=32
Exploring Operation: 69-52=17, Resulting Numbers: [20, 86, 17]
Generated Node #0,1: 10:[20, 86, 17] Operation: 69-52=17
Exploring Operation: 86-69=17, Resulting Numbers: [20, 52, 17]
Generated Node #0,2: 10:[20, 52, 17] Operation: 86-69=17
Exploring Operation: 86-52=34, Resulting Numbers: [20, 69, 34]
Generated Node #0,3: 10:[20, 69, 34] Operation: 86-52=34
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[20, 52, 17], Operations: ['86-69=17']
Exploring Operation: 20+52=72, Resulting Numbers: [17, 72]
Generated Node #0,2,0: 10:[17, 72] Operation: 20+52=72
Exploring Operation: 20-17=3, Resulting Numbers: [52, 3]
Generated Node #0,2,1: 10:[52, 3] Operation: 20-17=3
Exploring Operation: 52-20=32, Resulting Numbers: [17, 32]
Generated Node #0,2,2: 10:[17, 32] Operation: 52-20=32
Exploring Operation: 52-17=35, Resulting Numbers: [20, 35]
Generated Node #0,2,3: 10:[20, 35] Operation: 52-17=35
Moving to Node #0,2,2
Current State: 10:[17, 32], Operations: ['86-69=17', '52-20=32']
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,10 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Moving to Node #0,2,3
Current State: 10:[20, 35], Operations: ['86-69=17', '52-17=35']
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 20+35=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 20*35=700, Resulting Numbers: [700]
700,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[52, 3], Operations: ['86-69=17', '20-17=3']
Exploring Operation: 52*3=156, Resulting Numbers: [156]
156,10 unequal: No Solution
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[17, 72], Operations: ['86-69=17', '20+52=72']
Exploring Operation: 17*72=1224, Resulting Numbers: [1224]
1224,10 unequal: No Solution
Exploring Operation: 17+72=89, Resulting Numbers: [89]
89,10 unequal: No Solution
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[20, 86, 17], Operations: ['69-52=17']
Exploring Operation: 86-20=66, Resulting Numbers: [17, 66]
Generated Node #0,1,0: 10:[17, 66] Operation: 86-20=66
Exploring Operation: 20+86=106, Resulting Numbers: [17, 106]
Generated Node #0,1,1: 10:[17, 106] Operation: 20+86=106
Exploring Operation: 86-17=69, Resulting Numbers: [20, 69]
Generated Node #0,1,2: 10:[20, 69] Operation: 86-17=69
Exploring Operation: 20-17=3, Resulting Numbers: [86, 3]
Generated Node #0,1,3: 10:[86, 3] Operation: 20-17=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 10:[17, 66], Operations: ['69-52=17', '86-20=66']
Exploring Operation: 17*66=1122, Resulting Numbers: [1122]
1122,10 unequal: No Solution
Exploring Operation: 17+66=83, Resulting Numbers: [83]
83,10 unequal: No Solution
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 10:[20, 69], Operations: ['69-52=17', '86-17=69']
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 20+69=89, Resulting Numbers: [89]
89,10 unequal: No Solution
Exploring Operation: 20*69=1380, Resulting Numbers: [1380]
1380,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 10:[86, 3], Operations: ['69-52=17', '20-17=3']
Exploring Operation: 86*3=258, Resulting Numbers: [258]
258,10 unequal: No Solution
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,10 unequal: No Solution
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 10:[17, 106], Operations: ['69-52=17', '20+86=106']
Exploring Operation: 17*106=1802, Resulting Numbers: [1802]
1802,10 unequal: No Solution
Exploring Operation: 17+106=123, Resulting Numbers: [123]
123,10 unequal: No Solution
Exploring Operation: 106-17=89, Resulting Numbers: [89]
89,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 10:[20, 69, 34], Operations: ['86-52=34']
Exploring Operation: 20+69=89, Resulting Numbers: [34, 89]
Generated Node #0,3,0: 10:[34, 89] Operation: 20+69=89
Exploring Operation: 69-34=35, Resulting Numbers: [20, 35]
Generated Node #0,3,1: 10:[20, 35] Operation: 69-34=35
Exploring Operation: 69-20=49, Resulting Numbers: [34, 49]
Generated Node #0,3,2: 10:[34, 49] Operation: 69-20=49
Exploring Operation: 34-20=14, Resulting Numbers: [69, 14]
Generated Node #0,3,3: 10:[69, 14] Operation: 34-20=14
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 10:[20, 35], Operations: ['86-52=34', '69-34=35']
Exploring Operation: 20*35=700, Resulting Numbers: [700]
700,10 unequal: No Solution
Exploring Operation: 20+35=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 10:[34, 49], Operations: ['86-52=34', '69-20=49']
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,10 unequal: No Solution
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 34*49=1666, Resulting Numbers: [1666]
1666,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 10:[69, 14], Operations: ['86-52=34', '34-20=14']
Exploring Operation: 69-14=55, Resulting Numbers: [55]
55,10 unequal: No Solution
Exploring Operation: 69*14=966, Resulting Numbers: [966]
966,10 unequal: No Solution
Exploring Operation: 69+14=83, Resulting Numbers: [83]
83,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 10:[34, 89], Operations: ['86-52=34', '20+69=89']
Exploring Operation: 34+89=123, Resulting Numbers: [123]
123,10 unequal: No Solution
Exploring Operation: 34*89=3026, Resulting Numbers: [3026]
3026,10 unequal: No Solution
Exploring Operation: 89-34=55, Resulting Numbers: [55]
55,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[86, 69, 32], Operations: ['52-20=32']
Exploring Operation: 69-32=37, Resulting Numbers: [86, 37]
Generated Node #0,0,0: 10:[86, 37] Operation: 69-32=37
Exploring Operation: 86-32=54, Resulting Numbers: [69, 54]
Generated Node #0,0,1: 10:[69, 54] Operation: 86-32=54
Exploring Operation: 86-69=17, Resulting Numbers: [32, 17]
Generated Node #0,0,2: 10:[32, 17] Operation: 86-69=17
Exploring Operation: 86+69=155, Resulting Numbers: [32, 155]
Generated Node #0,0,3: 10:[32, 155] Operation: 86+69=155
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 10:[32, 17], Operations: ['52-20=32', '86-69=17']
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,10 unequal: No Solution
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 10:[86, 37], Operations: ['52-20=32', '69-32=37']
Exploring Operation: 86-37=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 86*37=3182, Resulting Numbers: [3182]
3182,10 unequal: No Solution
Exploring Operation: 86+37=123, Resulting Numbers: [123]
123,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 10:[69, 54], Operations: ['52-20=32', '86-32=54']
Exploring Operation: 69*54=3726, Resulting Numbers: [3726]
3726,10 unequal: No Solution
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,10 unequal: No Solution
Exploring Operation: 69+54=123, Resulting Numbers: [123]
123,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 10:[32, 155], Operations: ['52-20=32', '86+69=155']
Exploring Operation: 155-32=123, Resulting Numbers: [123]
123,10 unequal: No Solution
Exploring Operation: 32*155=4960, Resulting Numbers: [4960]
4960,10 unequal: No Solution
Exploring Operation: 32+155=187, Resulting Numbers: [187]
187,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
19,
9,
58,
12
] | 18 |
[
"19+9=28",
"58-12=46",
"46-28=18"
] |
Current State: 18:[19, 9, 58, 12], Operations: []
Exploring Operation: 19+9=28, Resulting Numbers: [58, 12, 28]
Generated Node #2: [58, 12, 28] from Operation: 19+9=28
Current State: 18:[58, 12, 28], Operations: ['19+9=28']
Exploring Operation: 58-12=46, Resulting Numbers: [28, 46]
Generated Node #3: [28, 46] from Operation: 58-12=46
Current State: 18:[28, 46], Operations: ['19+9=28', '58-12=46']
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
Current State: 18:[19, 9, 58, 12], Operations: []
Exploring Operation: 58-19=39, Resulting Numbers: [9, 12, 39]
Generated Node #0,0: 18:[9, 12, 39] Operation: 58-19=39
Moving to Node #0,0
Current State: 18:[9, 12, 39], Operations: ['58-19=39']
Exploring Operation: 39-12=27, Resulting Numbers: [9, 27]
Generated Node #0,0,0: 18:[9, 27] Operation: 39-12=27
Moving to Node #0,0,0
Current State: 18:[9, 27], Operations: ['58-19=39', '39-12=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[19, 9, 58, 12], Operations: []
Exploring Operation: 58-19=39, Resulting Numbers: [9, 12, 39]
Generated Node #0,0: 18:[9, 12, 39] Operation: 58-19=39
Moving to Node #0,0
Current State: 18:[9, 12, 39], Operations: ['58-19=39']
Exploring Operation: 39-12=27, Resulting Numbers: [9, 27]
Generated Node #0,0,0: 18:[9, 27] Operation: 39-12=27
Moving to Node #0,0,0
Current State: 18:[9, 27], Operations: ['58-19=39', '39-12=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.993924 |
hs_1
|
mult_heuristic
|
[
3,
28,
57,
25
] | 58 |
[
"28-3=25",
"25/25=1",
"57+1=58"
] |
Current State: 58:[3, 28, 57, 25], Operations: []
Exploring Operation: 28-3=25, Resulting Numbers: [57, 25, 25]
Generated Node #2: [57, 25, 25] from Operation: 28-3=25
Current State: 58:[57, 25, 25], Operations: ['28-3=25']
Exploring Operation: 25/25=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 25/25=1
Current State: 58:[57, 1], Operations: ['28-3=25', '25/25=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
Current State: 58:[3, 28, 57, 25], Operations: []
Exploring Operation: 3+25=28, Resulting Numbers: [28, 57, 28]
Generated Node #0,0: 58:[28, 57, 28] Operation: 3+25=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[28, 57, 28], Operations: ['3+25=28']
Exploring Operation: 57-28=29, Resulting Numbers: [28, 29]
Generated Node #0,0,0: 58:[28, 29] Operation: 57-28=29
Moving to Node #0,0,0
Current State: 58:[28, 29], Operations: ['3+25=28', '57-28=29']
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
36,
65,
26,
40
] | 43 |
[
"65-36=29",
"40-26=14",
"29+14=43"
] |
Current State: 43:[36, 65, 26, 40], Operations: []
Exploring Operation: 65-36=29, Resulting Numbers: [26, 40, 29]
Generated Node #2: [26, 40, 29] from Operation: 65-36=29
Current State: 43:[26, 40, 29], Operations: ['65-36=29']
Exploring Operation: 40-26=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 40-26=14
Current State: 43:[29, 14], Operations: ['65-36=29', '40-26=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
Current State: 43:[36, 65, 26, 40], Operations: []
Exploring Operation: 65-26=39, Resulting Numbers: [36, 40, 39]
Generated Node #0,0: 43:[36, 40, 39] Operation: 65-26=39
Exploring Operation: 65-36=29, Resulting Numbers: [26, 40, 29]
Generated Node #0,1: 43:[26, 40, 29] Operation: 65-36=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[36, 40, 39], Operations: ['65-26=39']
Exploring Operation: 36+40=76, Resulting Numbers: [39, 76]
Generated Node #0,0,0: 43:[39, 76] Operation: 36+40=76
Exploring Operation: 36+39=75, Resulting Numbers: [40, 75]
Generated Node #0,0,1: 43:[40, 75] Operation: 36+39=75
Moving to Node #0,0,1
Current State: 43:[40, 75], Operations: ['65-26=39', '36+39=75']
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Exploring Operation: 40+75=115, Resulting Numbers: [115]
115,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[39, 76], Operations: ['65-26=39', '36+40=76']
Exploring Operation: 39+76=115, Resulting Numbers: [115]
115,43 unequal: No Solution
Exploring Operation: 76-39=37, Resulting Numbers: [37]
37,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[26, 40, 29], Operations: ['65-36=29']
Exploring Operation: 26+40=66, Resulting Numbers: [29, 66]
Generated Node #0,1,0: 43:[29, 66] Operation: 26+40=66
Exploring Operation: 26+29=55, Resulting Numbers: [40, 55]
Generated Node #0,1,1: 43:[40, 55] Operation: 26+29=55
Moving to Node #0,1,1
Current State: 43:[40, 55], Operations: ['65-36=29', '26+29=55']
Exploring Operation: 55-40=15, Resulting Numbers: [15]
15,43 unequal: No Solution
Exploring Operation: 40+55=95, Resulting Numbers: [95]
95,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[29, 66], Operations: ['65-36=29', '26+40=66']
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,43 unequal: No Solution
Exploring Operation: 29+66=95, Resulting Numbers: [95]
95,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
90,
2,
17,
1
] | 63 |
[
"90/2=45",
"17+1=18",
"45+18=63"
] |
Current State: 63:[90, 2, 17, 1], Operations: []
Exploring Operation: 90/2=45, Resulting Numbers: [17, 1, 45]
Generated Node #2: [17, 1, 45] from Operation: 90/2=45
Current State: 63:[17, 1, 45], Operations: ['90/2=45']
Exploring Operation: 17+1=18, Resulting Numbers: [45, 18]
Generated Node #3: [45, 18] from Operation: 17+1=18
Current State: 63:[45, 18], Operations: ['90/2=45', '17+1=18']
Exploring Operation: 45+18=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
Current State: 63:[90, 2, 17, 1], Operations: []
Exploring Operation: 90-17=73, Resulting Numbers: [2, 1, 73]
Generated Node #0,0: 63:[2, 1, 73] Operation: 90-17=73
Exploring Operation: 90/2=45, Resulting Numbers: [17, 1, 45]
Generated Node #0,1: 63:[17, 1, 45] Operation: 90/2=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[2, 1, 73], Operations: ['90-17=73']
Exploring Operation: 73-2=71, Resulting Numbers: [1, 71]
Generated Node #0,0,0: 63:[1, 71] Operation: 73-2=71
Exploring Operation: 2+1=3, Resulting Numbers: [73, 3]
Generated Node #0,0,1: 63:[73, 3] Operation: 2+1=3
Moving to Node #0,0,0
Current State: 63:[1, 71], Operations: ['90-17=73', '73-2=71']
Exploring Operation: 1*71=71, Resulting Numbers: [71]
71,63 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[73, 3], Operations: ['90-17=73', '2+1=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,63 unequal: No Solution
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[17, 1, 45], Operations: ['90/2=45']
Exploring Operation: 45-17=28, Resulting Numbers: [1, 28]
Generated Node #0,1,0: 63:[1, 28] Operation: 45-17=28
Exploring Operation: 17+45=62, Resulting Numbers: [1, 62]
Generated Node #0,1,1: 63:[1, 62] Operation: 17+45=62
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 63:[1, 62], Operations: ['90/2=45', '17+45=62']
Exploring Operation: 1*62=62, Resulting Numbers: [62]
62,63 unequal: No Solution
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[90, 2, 17, 1], Operations: []
Exploring Operation: 90/2=45, Resulting Numbers: [17, 1, 45]
Generated Node #0,1: 63:[17, 1, 45] Operation: 90/2=45
Moving to Node #0,1
Current State: 63:[17, 1, 45], Operations: ['90/2=45']
Exploring Operation: 17+45=62, Resulting Numbers: [1, 62]
Generated Node #0,1,1: 63:[1, 62] Operation: 17+45=62
Moving to Node #0,1,1
Current State: 63:[1, 62], Operations: ['90/2=45', '17+45=62']
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 |
hs_2
|
sum_heuristic
|
[
27,
2,
13,
66
] | 52 |
[
"27+13=40",
"66-40=26",
"2*26=52"
] |
Current State: 52:[27, 2, 13, 66], Operations: []
Exploring Operation: 27+13=40, Resulting Numbers: [2, 66, 40]
Generated Node #2: [2, 66, 40] from Operation: 27+13=40
Current State: 52:[2, 66, 40], Operations: ['27+13=40']
Exploring Operation: 66-40=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 66-40=26
Current State: 52:[2, 26], Operations: ['27+13=40', '66-40=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[27, 2, 13, 66], Operations: []
Exploring Operation: 66-13=53, Resulting Numbers: [27, 2, 53]
Generated Node #0,0: 52:[27, 2, 53] Operation: 66-13=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[27, 2, 53], Operations: ['66-13=53']
Exploring Operation: 53-27=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 52:[2, 26] Operation: 53-27=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[2, 26], Operations: ['66-13=53', '53-27=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[27, 2, 13, 66], Operations: []
Exploring Operation: 66-13=53, Resulting Numbers: [27, 2, 53]
Generated Node #0,0: 52:[27, 2, 53] Operation: 66-13=53
Moving to Node #0,0
Current State: 52:[27, 2, 53], Operations: ['66-13=53']
Exploring Operation: 53-27=26, Resulting Numbers: [2, 26]
Generated Node #0,0,0: 52:[2, 26] Operation: 53-27=26
Moving to Node #0,0,0
Current State: 52:[2, 26], Operations: ['66-13=53', '53-27=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
sum_heuristic
|
[
51,
37,
6,
54
] | 39 |
[
"54-51=3",
"6/3=2",
"37+2=39"
] |
Current State: 39:[51, 37, 6, 54], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [37, 6, 3]
Generated Node #2: [37, 6, 3] from Operation: 54-51=3
Current State: 39:[37, 6, 3], Operations: ['54-51=3']
Exploring Operation: 6/3=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 6/3=2
Current State: 39:[37, 2], Operations: ['54-51=3', '6/3=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[51, 37, 6, 54], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [37, 6, 3]
Generated Node #0,0: 39:[37, 6, 3] Operation: 54-51=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[37, 6, 3], Operations: ['54-51=3']
Exploring Operation: 6-3=3, Resulting Numbers: [37, 3]
Generated Node #0,0,0: 39:[37, 3] Operation: 6-3=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[37, 3], Operations: ['54-51=3', '6-3=3']
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
45,
37,
75,
34
] | 41 |
[
"45+37=82",
"75-34=41",
"82-41=41"
] |
Current State: 41:[45, 37, 75, 34], Operations: []
Exploring Operation: 45+37=82, Resulting Numbers: [75, 34, 82]
Generated Node #2: [75, 34, 82] from Operation: 45+37=82
Current State: 41:[75, 34, 82], Operations: ['45+37=82']
Exploring Operation: 75-34=41, Resulting Numbers: [82, 41]
Generated Node #3: [82, 41] from Operation: 75-34=41
Current State: 41:[82, 41], Operations: ['45+37=82', '75-34=41']
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[45, 37, 75, 34], Operations: []
Exploring Operation: 45-34=11, Resulting Numbers: [37, 75, 11]
Generated Node #0,0: 41:[37, 75, 11] Operation: 45-34=11
Exploring Operation: 75-37=38, Resulting Numbers: [45, 34, 38]
Generated Node #0,1: 41:[45, 34, 38] Operation: 75-37=38
Exploring Operation: 75-34=41, Resulting Numbers: [45, 37, 41]
Generated Node #0,2: 41:[45, 37, 41] Operation: 75-34=41
Exploring Operation: 75-45=30, Resulting Numbers: [37, 34, 30]
Generated Node #0,3: 41:[37, 34, 30] Operation: 75-45=30
Moving to Node #0,2
Current State: 41:[45, 37, 41], Operations: ['75-34=41']
Exploring Operation: 37+41=78, Resulting Numbers: [45, 78]
Generated Node #0,2,0: 41:[45, 78] Operation: 37+41=78
Exploring Operation: 45-41=4, Resulting Numbers: [37, 4]
Generated Node #0,2,1: 41:[37, 4] Operation: 45-41=4
Exploring Operation: 45+37=82, Resulting Numbers: [41, 82]
Generated Node #0,2,2: 41:[41, 82] Operation: 45+37=82
Exploring Operation: 45-37=8, Resulting Numbers: [41, 8]
Generated Node #0,2,3: 41:[41, 8] Operation: 45-37=8
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 41:[41, 8], Operations: ['75-34=41', '45-37=8']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,41 unequal: No Solution
Exploring Operation: 41*8=328, Resulting Numbers: [328]
328,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 41:[45, 78], Operations: ['75-34=41', '37+41=78']
Exploring Operation: 45+78=123, Resulting Numbers: [123]
123,41 unequal: No Solution
Exploring Operation: 45*78=3510, Resulting Numbers: [3510]
3510,41 unequal: No Solution
Exploring Operation: 78-45=33, Resulting Numbers: [33]
33,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 41:[37, 4], Operations: ['75-34=41', '45-41=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[45, 37, 75, 34], Operations: []
Exploring Operation: 75-34=41, Resulting Numbers: [45, 37, 41]
Generated Node #0,2: 41:[45, 37, 41] Operation: 75-34=41
Moving to Node #0,2
Current State: 41:[45, 37, 41], Operations: ['75-34=41']
Exploring Operation: 45-41=4, Resulting Numbers: [37, 4]
Generated Node #0,2,1: 41:[37, 4] Operation: 45-41=4
Moving to Node #0,2,1
Current State: 41:[37, 4], Operations: ['75-34=41', '45-41=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 |
hs_4
|
sum_heuristic
|
[
75,
18,
19,
80
] | 71 |
[
"80-75=5",
"18*5=90",
"90-19=71"
] |
Current State: 71:[75, 18, 19, 80], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [18, 19, 5]
Generated Node #2: [18, 19, 5] from Operation: 80-75=5
Current State: 71:[18, 19, 5], Operations: ['80-75=5']
Exploring Operation: 18*5=90, Resulting Numbers: [19, 90]
Generated Node #3: [19, 90] from Operation: 18*5=90
Current State: 71:[19, 90], Operations: ['80-75=5', '18*5=90']
Exploring Operation: 90-19=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
Current State: 71:[75, 18, 19, 80], Operations: []
Exploring Operation: 80-18=62, Resulting Numbers: [75, 19, 62]
Generated Node #0,0: 71:[75, 19, 62] Operation: 80-18=62
Exploring Operation: 18+19=37, Resulting Numbers: [75, 80, 37]
Generated Node #0,1: 71:[75, 80, 37] Operation: 18+19=37
Exploring Operation: 80-19=61, Resulting Numbers: [75, 18, 61]
Generated Node #0,2: 71:[75, 18, 61] Operation: 80-19=61
Exploring Operation: 75-18=57, Resulting Numbers: [19, 80, 57]
Generated Node #0,3: 71:[19, 80, 57] Operation: 75-18=57
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[75, 80, 37], Operations: ['18+19=37']
Exploring Operation: 75+37=112, Resulting Numbers: [80, 112]
Generated Node #0,1,0: 71:[80, 112] Operation: 75+37=112
Exploring Operation: 80+37=117, Resulting Numbers: [75, 117]
Generated Node #0,1,1: 71:[75, 117] Operation: 80+37=117
Exploring Operation: 75-37=38, Resulting Numbers: [80, 38]
Generated Node #0,1,2: 71:[80, 38] Operation: 75-37=38
Exploring Operation: 80-37=43, Resulting Numbers: [75, 43]
Generated Node #0,1,3: 71:[75, 43] Operation: 80-37=43
Moving to Node #0,1,3
Current State: 71:[75, 43], Operations: ['18+19=37', '80-37=43']
Exploring Operation: 75*43=3225, Resulting Numbers: [3225]
3225,71 unequal: No Solution
Exploring Operation: 75+43=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[80, 38], Operations: ['18+19=37', '75-37=38']
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 80+38=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 80*38=3040, Resulting Numbers: [3040]
3040,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[75, 117], Operations: ['18+19=37', '80+37=117']
Exploring Operation: 75+117=192, Resulting Numbers: [192]
192,71 unequal: No Solution
Exploring Operation: 117-75=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 75*117=8775, Resulting Numbers: [8775]
8775,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[80, 112], Operations: ['18+19=37', '75+37=112']
Exploring Operation: 112-80=32, Resulting Numbers: [32]
32,71 unequal: No Solution
Exploring Operation: 80+112=192, Resulting Numbers: [192]
192,71 unequal: No Solution
Exploring Operation: 80*112=8960, Resulting Numbers: [8960]
8960,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[75, 19, 62], Operations: ['80-18=62']
Exploring Operation: 75-19=56, Resulting Numbers: [62, 56]
Generated Node #0,0,0: 71:[62, 56] Operation: 75-19=56
Exploring Operation: 19+62=81, Resulting Numbers: [75, 81]
Generated Node #0,0,1: 71:[75, 81] Operation: 19+62=81
Exploring Operation: 75+19=94, Resulting Numbers: [62, 94]
Generated Node #0,0,2: 71:[62, 94] Operation: 75+19=94
Exploring Operation: 62-19=43, Resulting Numbers: [75, 43]
Generated Node #0,0,3: 71:[75, 43] Operation: 62-19=43
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 71:[75, 81], Operations: ['80-18=62', '19+62=81']
Exploring Operation: 75+81=156, Resulting Numbers: [156]
156,71 unequal: No Solution
Exploring Operation: 75*81=6075, Resulting Numbers: [6075]
6075,71 unequal: No Solution
Exploring Operation: 81-75=6, Resulting Numbers: [6]
6,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[62, 56], Operations: ['80-18=62', '75-19=56']
Exploring Operation: 62*56=3472, Resulting Numbers: [3472]
3472,71 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,71 unequal: No Solution
Exploring Operation: 62+56=118, Resulting Numbers: [118]
118,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 71:[62, 94], Operations: ['80-18=62', '75+19=94']
Exploring Operation: 62*94=5828, Resulting Numbers: [5828]
5828,71 unequal: No Solution
Exploring Operation: 62+94=156, Resulting Numbers: [156]
156,71 unequal: No Solution
Exploring Operation: 94-62=32, Resulting Numbers: [32]
32,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 71:[75, 43], Operations: ['80-18=62', '62-19=43']
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,71 unequal: No Solution
Exploring Operation: 75+43=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 75*43=3225, Resulting Numbers: [3225]
3225,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[75, 18, 61], Operations: ['80-19=61']
Exploring Operation: 61-18=43, Resulting Numbers: [75, 43]
Generated Node #0,2,0: 71:[75, 43] Operation: 61-18=43
Exploring Operation: 18+61=79, Resulting Numbers: [75, 79]
Generated Node #0,2,1: 71:[75, 79] Operation: 18+61=79
Exploring Operation: 75+18=93, Resulting Numbers: [61, 93]
Generated Node #0,2,2: 71:[61, 93] Operation: 75+18=93
Exploring Operation: 75-18=57, Resulting Numbers: [61, 57]
Generated Node #0,2,3: 71:[61, 57] Operation: 75-18=57
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 71:[75, 79], Operations: ['80-19=61', '18+61=79']
Exploring Operation: 75*79=5925, Resulting Numbers: [5925]
5925,71 unequal: No Solution
Exploring Operation: 79-75=4, Resulting Numbers: [4]
4,71 unequal: No Solution
Exploring Operation: 75+79=154, Resulting Numbers: [154]
154,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 71:[61, 57], Operations: ['80-19=61', '75-18=57']
Exploring Operation: 61-57=4, Resulting Numbers: [4]
4,71 unequal: No Solution
Exploring Operation: 61+57=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 61*57=3477, Resulting Numbers: [3477]
3477,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 71:[75, 43], Operations: ['80-19=61', '61-18=43']
Exploring Operation: 75*43=3225, Resulting Numbers: [3225]
3225,71 unequal: No Solution
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,71 unequal: No Solution
Exploring Operation: 75+43=118, Resulting Numbers: [118]
118,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 71:[61, 93], Operations: ['80-19=61', '75+18=93']
Exploring Operation: 61*93=5673, Resulting Numbers: [5673]
5673,71 unequal: No Solution
Exploring Operation: 61+93=154, Resulting Numbers: [154]
154,71 unequal: No Solution
Exploring Operation: 93-61=32, Resulting Numbers: [32]
32,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 71:[19, 80, 57], Operations: ['75-18=57']
Exploring Operation: 57-19=38, Resulting Numbers: [80, 38]
Generated Node #0,3,0: 71:[80, 38] Operation: 57-19=38
Exploring Operation: 19+80=99, Resulting Numbers: [57, 99]
Generated Node #0,3,1: 71:[57, 99] Operation: 19+80=99
Exploring Operation: 19+57=76, Resulting Numbers: [80, 76]
Generated Node #0,3,2: 71:[80, 76] Operation: 19+57=76
Exploring Operation: 80-19=61, Resulting Numbers: [57, 61]
Generated Node #0,3,3: 71:[57, 61] Operation: 80-19=61
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 71:[80, 76], Operations: ['75-18=57', '19+57=76']
Exploring Operation: 80-76=4, Resulting Numbers: [4]
4,71 unequal: No Solution
Exploring Operation: 80+76=156, Resulting Numbers: [156]
156,71 unequal: No Solution
Exploring Operation: 80*76=6080, Resulting Numbers: [6080]
6080,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 71:[57, 61], Operations: ['75-18=57', '80-19=61']
Exploring Operation: 61-57=4, Resulting Numbers: [4]
4,71 unequal: No Solution
Exploring Operation: 57+61=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 57*61=3477, Resulting Numbers: [3477]
3477,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 71:[80, 38], Operations: ['75-18=57', '57-19=38']
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 80+38=118, Resulting Numbers: [118]
118,71 unequal: No Solution
Exploring Operation: 80*38=3040, Resulting Numbers: [3040]
3040,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 71:[57, 99], Operations: ['75-18=57', '19+80=99']
Exploring Operation: 57+99=156, Resulting Numbers: [156]
156,71 unequal: No Solution
Exploring Operation: 99-57=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 57*99=5643, Resulting Numbers: [5643]
5643,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
71,
64,
36,
43
] | 14 |
[
"71-64=7",
"43-36=7",
"7+7=14"
] |
Current State: 14:[71, 64, 36, 43], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [36, 43, 7]
Generated Node #2: [36, 43, 7] from Operation: 71-64=7
Current State: 14:[36, 43, 7], Operations: ['71-64=7']
Exploring Operation: 43-36=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 43-36=7
Current State: 14:[7, 7], Operations: ['71-64=7', '43-36=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
Current State: 14:[71, 64, 36, 43], Operations: []
Exploring Operation: 71-36=35, Resulting Numbers: [64, 43, 35]
Generated Node #0,0: 14:[64, 43, 35] Operation: 71-36=35
Exploring Operation: 64-43=21, Resulting Numbers: [71, 36, 21]
Generated Node #0,1: 14:[71, 36, 21] Operation: 64-43=21
Exploring Operation: 71-64=7, Resulting Numbers: [36, 43, 7]
Generated Node #0,2: 14:[36, 43, 7] Operation: 71-64=7
Exploring Operation: 71-43=28, Resulting Numbers: [64, 36, 28]
Generated Node #0,3: 14:[64, 36, 28] Operation: 71-43=28
Moving to Node #0,2
Current State: 14:[36, 43, 7], Operations: ['71-64=7']
Exploring Operation: 36+7=43, Resulting Numbers: [43, 43]
Generated Node #0,2,0: 14:[43, 43] Operation: 36+7=43
Exploring Operation: 43-7=36, Resulting Numbers: [36, 36]
Generated Node #0,2,1: 14:[36, 36] Operation: 43-7=36
Exploring Operation: 36-7=29, Resulting Numbers: [43, 29]
Generated Node #0,2,2: 14:[43, 29] Operation: 36-7=29
Exploring Operation: 43-36=7, Resulting Numbers: [7, 7]
Generated Node #0,2,3: 14:[7, 7] Operation: 43-36=7
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 14:[7, 7], Operations: ['71-64=7', '43-36=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[71, 64, 36, 43], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [36, 43, 7]
Generated Node #0,2: 14:[36, 43, 7] Operation: 71-64=7
Moving to Node #0,2
Current State: 14:[36, 43, 7], Operations: ['71-64=7']
Exploring Operation: 43-36=7, Resulting Numbers: [7, 7]
Generated Node #0,2,3: 14:[7, 7] Operation: 43-36=7
Moving to Node #0,2,3
Current State: 14:[7, 7], Operations: ['71-64=7', '43-36=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
sum_heuristic
|
[
20,
58,
8,
84
] | 18 |
[
"20*8=160",
"58+84=142",
"160-142=18"
] |
Current State: 18:[20, 58, 8, 84], Operations: []
Exploring Operation: 20*8=160, Resulting Numbers: [58, 84, 160]
Generated Node #2: [58, 84, 160] from Operation: 20*8=160
Current State: 18:[58, 84, 160], Operations: ['20*8=160']
Exploring Operation: 58+84=142, Resulting Numbers: [160, 142]
Generated Node #3: [160, 142] from Operation: 58+84=142
Current State: 18:[160, 142], Operations: ['20*8=160', '58+84=142']
Exploring Operation: 160-142=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
Current State: 18:[20, 58, 8, 84], Operations: []
Exploring Operation: 84-58=26, Resulting Numbers: [20, 8, 26]
Generated Node #0,0: 18:[20, 8, 26] Operation: 84-58=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[20, 8, 26], Operations: ['84-58=26']
Exploring Operation: 26-20=6, Resulting Numbers: [8, 6]
Generated Node #0,0,0: 18:[8, 6] Operation: 26-20=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[8, 6], Operations: ['84-58=26', '26-20=6']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
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