nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
92,
19,
83,
83
] | 74 | [
"92-19=73",
"83/83=1",
"73+1=74"
] | Current State: 74:[92, 19, 83, 83], Operations: []
Exploring Operation: 92-19=73, Resulting Numbers: [83, 83, 73]
Generated Node #2: [83, 83, 73] from Operation: 92-19=73
Current State: 74:[83, 83, 73], Operations: ['92-19=73']
Exploring Operation: 83/83=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 83/83=1
Current State: 74:[73, 1], Operations: ['92-19=73', '83/83=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
70,
34,
26,
88
] | 22 | [
"70+34=104",
"26*88=2288",
"2288/104=22"
] | Current State: 22:[70, 34, 26, 88], Operations: []
Exploring Operation: 70+34=104, Resulting Numbers: [26, 88, 104]
Generated Node #2: [26, 88, 104] from Operation: 70+34=104
Current State: 22:[26, 88, 104], Operations: ['70+34=104']
Exploring Operation: 26*88=2288, Resulting Numbers: [104, 2288]
Generated Node #3: [104, 2288] from Operation: 26*88=2288
Current State: 22:[104, 2288], Operations: ['70+34=104', '26*88=2288']
Exploring Operation: 2288/104=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
58,
13,
11,
25
] | 57 | [
"58+13=71",
"25-11=14",
"71-14=57"
] | Current State: 57:[58, 13, 11, 25], Operations: []
Exploring Operation: 58+13=71, Resulting Numbers: [11, 25, 71]
Generated Node #2: [11, 25, 71] from Operation: 58+13=71
Current State: 57:[11, 25, 71], Operations: ['58+13=71']
Exploring Operation: 25-11=14, Resulting Numbers: [71, 14]
Generated Node #3: [71, 14] from Operation: 25-11=14
Current State: 57:[71, 14], Operations: ['58+13=71', '25-11=14']
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
72,
35,
8,
48
] | 50 | [
"72+48=120",
"120/8=15",
"35+15=50"
] | Current State: 50:[72, 35, 8, 48], Operations: []
Exploring Operation: 72+48=120, Resulting Numbers: [35, 8, 120]
Generated Node #2: [35, 8, 120] from Operation: 72+48=120
Current State: 50:[35, 8, 120], Operations: ['72+48=120']
Exploring Operation: 120/8=15, Resulting Numbers: [35, 15]
Generated Node #3: [35, 15] from Operation: 120/8=15
Current State: 50:[35, 15], Operations: ['72+48=120', '120/8=15']
Exploring Operation: 35+15=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
72,
60,
76,
34
] | 18 | [
"72*34=2448",
"60+76=136",
"2448/136=18"
] | Current State: 18:[72, 60, 76, 34], Operations: []
Exploring Operation: 72*34=2448, Resulting Numbers: [60, 76, 2448]
Generated Node #2: [60, 76, 2448] from Operation: 72*34=2448
Current State: 18:[60, 76, 2448], Operations: ['72*34=2448']
Exploring Operation: 60+76=136, Resulting Numbers: [2448, 136]
Generated Node #3: [2448, 136] from Operation: 60+76=136
Current State: 18:[2448, 136], Operations: ['72*34=2448', '60+76=136']
Exploring Operation: 2448/136=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
53,
26,
96,
32
] | 81 | [
"53-26=27",
"96/32=3",
"27*3=81"
] | Current State: 81:[53, 26, 96, 32], Operations: []
Exploring Operation: 53-26=27, Resulting Numbers: [96, 32, 27]
Generated Node #2: [96, 32, 27] from Operation: 53-26=27
Current State: 81:[96, 32, 27], Operations: ['53-26=27']
Exploring Operation: 96/32=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 96/32=3
Current State: 81:[27, 3], Operations: ['53-26=27', '96/32=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
87,
45,
20,
14
] | 22 | [
"87+45=132",
"20-14=6",
"132/6=22"
] | Current State: 22:[87, 45, 20, 14], Operations: []
Exploring Operation: 87+45=132, Resulting Numbers: [20, 14, 132]
Generated Node #2: [20, 14, 132] from Operation: 87+45=132
Current State: 22:[20, 14, 132], Operations: ['87+45=132']
Exploring Operation: 20-14=6, Resulting Numbers: [132, 6]
Generated Node #3: [132, 6] from Operation: 20-14=6
Current State: 22:[132, 6], Operations: ['87+45=132', '20-14=6']
Exploring Operation: 132/6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
79,
15,
67,
69
] | 23 | [
"79-15=64",
"67-64=3",
"69/3=23"
] | Current State: 23:[79, 15, 67, 69], Operations: []
Exploring Operation: 79-15=64, Resulting Numbers: [67, 69, 64]
Generated Node #2: [67, 69, 64] from Operation: 79-15=64
Current State: 23:[67, 69, 64], Operations: ['79-15=64']
Exploring Operation: 67-64=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 67-64=3
Current State: 23:[69, 3], Operations: ['79-15=64', '67-64=3']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
91,
2,
61,
46
] | 53 | [
"91+61=152",
"152-46=106",
"106/2=53"
] | Current State: 53:[91, 2, 61, 46], Operations: []
Exploring Operation: 91+61=152, Resulting Numbers: [2, 46, 152]
Generated Node #2: [2, 46, 152] from Operation: 91+61=152
Current State: 53:[2, 46, 152], Operations: ['91+61=152']
Exploring Operation: 152-46=106, Resulting Numbers: [2, 106]
Generated Node #3: [2, 106] from Operation: 152-46=106
Current State: 53:[2, 106], Operations: ['91+61=152', '152-46=106']
Exploring Operation: 106/2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
36,
24,
50,
8
] | 88 | [
"50-36=14",
"8*14=112",
"112-24=88"
] | Current State: 88:[36, 24, 50, 8], Operations: []
Exploring Operation: 50-36=14, Resulting Numbers: [24, 8, 14]
Generated Node #2: [24, 8, 14] from Operation: 50-36=14
Current State: 88:[24, 8, 14], Operations: ['50-36=14']
Exploring Operation: 8*14=112, Resulting Numbers: [24, 112]
Generated Node #3: [24, 112] from Operation: 8*14=112
Current State: 88:[24, 112], Operations: ['50-36=14', '8*14=112']
Exploring Operation: 112-24=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
42,
25,
46,
40
] | 69 | [
"42-25=17",
"46+40=86",
"86-17=69"
] | Current State: 69:[42, 25, 46, 40], Operations: []
Exploring Operation: 42-25=17, Resulting Numbers: [46, 40, 17]
Generated Node #2: [46, 40, 17] from Operation: 42-25=17
Current State: 69:[46, 40, 17], Operations: ['42-25=17']
Exploring Operation: 46+40=86, Resulting Numbers: [17, 86]
Generated Node #3: [17, 86] from Operation: 46+40=86
Current State: 69:[17, 86], Operations: ['42-25=17', '46+40=86']
Exploring Operation: 86-17=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
76,
94,
41,
89
] | 30 | [
"94-76=18",
"89-41=48",
"48-18=30"
] | Current State: 30:[76, 94, 41, 89], Operations: []
Exploring Operation: 94-76=18, Resulting Numbers: [41, 89, 18]
Generated Node #2: [41, 89, 18] from Operation: 94-76=18
Current State: 30:[41, 89, 18], Operations: ['94-76=18']
Exploring Operation: 89-41=48, Resulting Numbers: [18, 48]
Generated Node #3: [18, 48] from Operation: 89-41=48
Current State: 30:[18, 48], Operations: ['94-76=18', '89-41=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
13,
66,
58,
40
] | 18 | [
"66-58=8",
"40/8=5",
"13+5=18"
] | Current State: 18:[13, 66, 58, 40], Operations: []
Exploring Operation: 66-58=8, Resulting Numbers: [13, 40, 8]
Generated Node #2: [13, 40, 8] from Operation: 66-58=8
Current State: 18:[13, 40, 8], Operations: ['66-58=8']
Exploring Operation: 40/8=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 40/8=5
Current State: 18:[13, 5], Operations: ['66-58=8', '40/8=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
45,
68,
5,
43
] | 100 | [
"68-45=23",
"43-23=20",
"5*20=100"
] | Current State: 100:[45, 68, 5, 43], Operations: []
Exploring Operation: 68-45=23, Resulting Numbers: [5, 43, 23]
Generated Node #2: [5, 43, 23] from Operation: 68-45=23
Current State: 100:[5, 43, 23], Operations: ['68-45=23']
Exploring Operation: 43-23=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 43-23=20
Current State: 100:[5, 20], Operations: ['68-45=23', '43-23=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
2,
81,
42,
72
] | 31 | [
"2+81=83",
"42+72=114",
"114-83=31"
] | Current State: 31:[2, 81, 42, 72], Operations: []
Exploring Operation: 2+81=83, Resulting Numbers: [42, 72, 83]
Generated Node #2: [42, 72, 83] from Operation: 2+81=83
Current State: 31:[42, 72, 83], Operations: ['2+81=83']
Exploring Operation: 42+72=114, Resulting Numbers: [83, 114]
Generated Node #3: [83, 114] from Operation: 42+72=114
Current State: 31:[83, 114], Operations: ['2+81=83', '42+72=114']
Exploring Operation: 114-83=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
18,
67,
56,
95
] | 10 | [
"67-18=49",
"95-56=39",
"49-39=10"
] | Current State: 10:[18, 67, 56, 95], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [56, 95, 49]
Generated Node #2: [56, 95, 49] from Operation: 67-18=49
Current State: 10:[56, 95, 49], Operations: ['67-18=49']
Exploring Operation: 95-56=39, Resulting Numbers: [49, 39]
Generated Node #3: [49, 39] from Operation: 95-56=39
Current State: 10:[49, 39], Operations: ['67-18=49', '95-56=39']
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
19,
57,
16,
57
] | 10 | [
"57+57=114",
"114/19=6",
"16-6=10"
] | Current State: 10:[19, 57, 16, 57], Operations: []
Exploring Operation: 57+57=114, Resulting Numbers: [19, 16, 114]
Generated Node #2: [19, 16, 114] from Operation: 57+57=114
Current State: 10:[19, 16, 114], Operations: ['57+57=114']
Exploring Operation: 114/19=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 114/19=6
Current State: 10:[16, 6], Operations: ['57+57=114', '114/19=6']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
21,
30,
69,
51
] | 10 | [
"69-21=48",
"51-48=3",
"30/3=10"
] | Current State: 10:[21, 30, 69, 51], Operations: []
Exploring Operation: 69-21=48, Resulting Numbers: [30, 51, 48]
Generated Node #2: [30, 51, 48] from Operation: 69-21=48
Current State: 10:[30, 51, 48], Operations: ['69-21=48']
Exploring Operation: 51-48=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 51-48=3
Current State: 10:[30, 3], Operations: ['69-21=48', '51-48=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
82,
80,
75,
13
] | 100 | [
"82+80=162",
"75-13=62",
"162-62=100"
] | Current State: 100:[82, 80, 75, 13], Operations: []
Exploring Operation: 82+80=162, Resulting Numbers: [75, 13, 162]
Generated Node #2: [75, 13, 162] from Operation: 82+80=162
Current State: 100:[75, 13, 162], Operations: ['82+80=162']
Exploring Operation: 75-13=62, Resulting Numbers: [162, 62]
Generated Node #3: [162, 62] from Operation: 75-13=62
Current State: 100:[162, 62], Operations: ['82+80=162', '75-13=62']
Exploring Operation: 162-62=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
59,
88,
26,
2
] | 77 | [
"59-26=33",
"88/2=44",
"33+44=77"
] | Current State: 77:[59, 88, 26, 2], Operations: []
Exploring Operation: 59-26=33, Resulting Numbers: [88, 2, 33]
Generated Node #2: [88, 2, 33] from Operation: 59-26=33
Current State: 77:[88, 2, 33], Operations: ['59-26=33']
Exploring Operation: 88/2=44, Resulting Numbers: [33, 44]
Generated Node #3: [33, 44] from Operation: 88/2=44
Current State: 77:[33, 44], Operations: ['59-26=33', '88/2=44']
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
64,
61,
39,
11
] | 37 | [
"61*39=2379",
"2379-11=2368",
"2368/64=37"
] | Current State: 37:[64, 61, 39, 11], Operations: []
Exploring Operation: 61*39=2379, Resulting Numbers: [64, 11, 2379]
Generated Node #2: [64, 11, 2379] from Operation: 61*39=2379
Current State: 37:[64, 11, 2379], Operations: ['61*39=2379']
Exploring Operation: 2379-11=2368, Resulting Numbers: [64, 2368]
Generated Node #3: [64, 2368] from Operation: 2379-11=2368
Current State: 37:[64, 2368], Operations: ['61*39=2379', '2379-11=2368']
Exploring Operation: 2368/64=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
29,
56,
75,
27
] | 74 | [
"56-29=27",
"27/27=1",
"75-1=74"
] | Current State: 74:[29, 56, 75, 27], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [75, 27, 27]
Generated Node #2: [75, 27, 27] from Operation: 56-29=27
Current State: 74:[75, 27, 27], Operations: ['56-29=27']
Exploring Operation: 27/27=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 27/27=1
Current State: 74:[75, 1], Operations: ['56-29=27', '27/27=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
79,
79,
4,
77
] | 82 | [
"79/79=1",
"4+77=81",
"1+81=82"
] | Current State: 82:[79, 79, 4, 77], Operations: []
Exploring Operation: 79/79=1, Resulting Numbers: [4, 77, 1]
Generated Node #2: [4, 77, 1] from Operation: 79/79=1
Current State: 82:[4, 77, 1], Operations: ['79/79=1']
Exploring Operation: 4+77=81, Resulting Numbers: [1, 81]
Generated Node #3: [1, 81] from Operation: 4+77=81
Current State: 82:[1, 81], Operations: ['79/79=1', '4+77=81']
Exploring Operation: 1+81=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
21,
68,
57,
50
] | 79 | [
"57-50=7",
"21*7=147",
"147-68=79"
] | Current State: 79:[21, 68, 57, 50], Operations: []
Exploring Operation: 57-50=7, Resulting Numbers: [21, 68, 7]
Generated Node #2: [21, 68, 7] from Operation: 57-50=7
Current State: 79:[21, 68, 7], Operations: ['57-50=7']
Exploring Operation: 21*7=147, Resulting Numbers: [68, 147]
Generated Node #3: [68, 147] from Operation: 21*7=147
Current State: 79:[68, 147], Operations: ['57-50=7', '21*7=147']
Exploring Operation: 147-68=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
39,
19,
4,
68
] | 97 | [
"68-39=29",
"4*29=116",
"116-19=97"
] | Current State: 97:[39, 19, 4, 68], Operations: []
Exploring Operation: 68-39=29, Resulting Numbers: [19, 4, 29]
Generated Node #2: [19, 4, 29] from Operation: 68-39=29
Current State: 97:[19, 4, 29], Operations: ['68-39=29']
Exploring Operation: 4*29=116, Resulting Numbers: [19, 116]
Generated Node #3: [19, 116] from Operation: 4*29=116
Current State: 97:[19, 116], Operations: ['68-39=29', '4*29=116']
Exploring Operation: 116-19=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
91,
25,
56,
87
] | 97 | [
"91-25=66",
"87-56=31",
"66+31=97"
] | Current State: 97:[91, 25, 56, 87], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [56, 87, 66]
Generated Node #2: [56, 87, 66] from Operation: 91-25=66
Current State: 97:[56, 87, 66], Operations: ['91-25=66']
Exploring Operation: 87-56=31, Resulting Numbers: [66, 31]
Generated Node #3: [66, 31] from Operation: 87-56=31
Current State: 97:[66, 31], Operations: ['91-25=66', '87-56=31']
Exploring Operation: 66+31=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
80,
98,
94,
30
] | 54 | [
"80+98=178",
"94+30=124",
"178-124=54"
] | Current State: 54:[80, 98, 94, 30], Operations: []
Exploring Operation: 80+98=178, Resulting Numbers: [94, 30, 178]
Generated Node #2: [94, 30, 178] from Operation: 80+98=178
Current State: 54:[94, 30, 178], Operations: ['80+98=178']
Exploring Operation: 94+30=124, Resulting Numbers: [178, 124]
Generated Node #3: [178, 124] from Operation: 94+30=124
Current State: 54:[178, 124], Operations: ['80+98=178', '94+30=124']
Exploring Operation: 178-124=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
12,
16,
67,
15
] | 19 | [
"15-12=3",
"16*3=48",
"67-48=19"
] | Current State: 19:[12, 16, 67, 15], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [16, 67, 3]
Generated Node #2: [16, 67, 3] from Operation: 15-12=3
Current State: 19:[16, 67, 3], Operations: ['15-12=3']
Exploring Operation: 16*3=48, Resulting Numbers: [67, 48]
Generated Node #3: [67, 48] from Operation: 16*3=48
Current State: 19:[67, 48], Operations: ['15-12=3', '16*3=48']
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
25,
16,
7,
64
] | 23 | [
"25+64=89",
"16*7=112",
"112-89=23"
] | Current State: 23:[25, 16, 7, 64], Operations: []
Exploring Operation: 25+64=89, Resulting Numbers: [16, 7, 89]
Generated Node #2: [16, 7, 89] from Operation: 25+64=89
Current State: 23:[16, 7, 89], Operations: ['25+64=89']
Exploring Operation: 16*7=112, Resulting Numbers: [89, 112]
Generated Node #3: [89, 112] from Operation: 16*7=112
Current State: 23:[89, 112], Operations: ['25+64=89', '16*7=112']
Exploring Operation: 112-89=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
95,
38,
24,
6
] | 61 | [
"95-38=57",
"24/6=4",
"57+4=61"
] | Current State: 61:[95, 38, 24, 6], Operations: []
Exploring Operation: 95-38=57, Resulting Numbers: [24, 6, 57]
Generated Node #2: [24, 6, 57] from Operation: 95-38=57
Current State: 61:[24, 6, 57], Operations: ['95-38=57']
Exploring Operation: 24/6=4, Resulting Numbers: [57, 4]
Generated Node #3: [57, 4] from Operation: 24/6=4
Current State: 61:[57, 4], Operations: ['95-38=57', '24/6=4']
Exploring Operation: 57+4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
10,
80,
56,
3
] | 10 | [
"80/10=8",
"56/8=7",
"3+7=10"
] | Current State: 10:[10, 80, 56, 3], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [56, 3, 8]
Generated Node #2: [56, 3, 8] from Operation: 80/10=8
Current State: 10:[56, 3, 8], Operations: ['80/10=8']
Exploring Operation: 56/8=7, Resulting Numbers: [3, 7]
Generated Node #3: [3, 7] from Operation: 56/8=7
Current State: 10:[3, 7], Operations: ['80/10=8', '56/8=7']
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
54,
92,
58,
2
] | 100 | [
"58-54=4",
"2*4=8",
"92+8=100"
] | Current State: 100:[54, 92, 58, 2], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [92, 2, 4]
Generated Node #2: [92, 2, 4] from Operation: 58-54=4
Current State: 100:[92, 2, 4], Operations: ['58-54=4']
Exploring Operation: 2*4=8, Resulting Numbers: [92, 8]
Generated Node #3: [92, 8] from Operation: 2*4=8
Current State: 100:[92, 8], Operations: ['58-54=4', '2*4=8']
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
98,
67,
6,
43
] | 68 | [
"98-67=31",
"43-6=37",
"31+37=68"
] | Current State: 68:[98, 67, 6, 43], Operations: []
Exploring Operation: 98-67=31, Resulting Numbers: [6, 43, 31]
Generated Node #2: [6, 43, 31] from Operation: 98-67=31
Current State: 68:[6, 43, 31], Operations: ['98-67=31']
Exploring Operation: 43-6=37, Resulting Numbers: [31, 37]
Generated Node #3: [31, 37] from Operation: 43-6=37
Current State: 68:[31, 37], Operations: ['98-67=31', '43-6=37']
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
49,
63,
15,
63
] | 92 | [
"63-49=14",
"15+63=78",
"14+78=92"
] | Current State: 92:[49, 63, 15, 63], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [15, 14]
Generated Node #2: [15, 14] from Operation: 63-49=14
Current State: 92:[15, 14], Operations: ['63-49=14']
Exploring Operation: 15+63=78, Resulting Numbers: [14, 78]
Generated Node #3: [14, 78] from Operation: 15+63=78
Current State: 92:[14, 78], Operations: ['63-49=14', '15+63=78']
Exploring Operation: 14+78=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
50,
72,
3,
55
] | 99 | [
"72-50=22",
"55-22=33",
"3*33=99"
] | Current State: 99:[50, 72, 3, 55], Operations: []
Exploring Operation: 72-50=22, Resulting Numbers: [3, 55, 22]
Generated Node #2: [3, 55, 22] from Operation: 72-50=22
Current State: 99:[3, 55, 22], Operations: ['72-50=22']
Exploring Operation: 55-22=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 55-22=33
Current State: 99:[3, 33], Operations: ['72-50=22', '55-22=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
4,
91,
77,
3
] | 52 | [
"91+77=168",
"168/3=56",
"56-4=52"
] | Current State: 52:[4, 91, 77, 3], Operations: []
Exploring Operation: 91+77=168, Resulting Numbers: [4, 3, 168]
Generated Node #2: [4, 3, 168] from Operation: 91+77=168
Current State: 52:[4, 3, 168], Operations: ['91+77=168']
Exploring Operation: 168/3=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 168/3=56
Current State: 52:[4, 56], Operations: ['91+77=168', '168/3=56']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
21,
24,
23,
17
] | 86 | [
"24-21=3",
"23*3=69",
"17+69=86"
] | Current State: 86:[21, 24, 23, 17], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [23, 17, 3]
Generated Node #2: [23, 17, 3] from Operation: 24-21=3
Current State: 86:[23, 17, 3], Operations: ['24-21=3']
Exploring Operation: 23*3=69, Resulting Numbers: [17, 69]
Generated Node #3: [17, 69] from Operation: 23*3=69
Current State: 86:[17, 69], Operations: ['24-21=3', '23*3=69']
Exploring Operation: 17+69=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
3,
37,
66,
58
] | 73 | [
"66/3=22",
"37+58=95",
"95-22=73"
] | Current State: 73:[3, 37, 66, 58], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [37, 58, 22]
Generated Node #2: [37, 58, 22] from Operation: 66/3=22
Current State: 73:[37, 58, 22], Operations: ['66/3=22']
Exploring Operation: 37+58=95, Resulting Numbers: [22, 95]
Generated Node #3: [22, 95] from Operation: 37+58=95
Current State: 73:[22, 95], Operations: ['66/3=22', '37+58=95']
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
9,
3,
77,
19
] | 47 | [
"19-9=10",
"3*10=30",
"77-30=47"
] | Current State: 47:[9, 3, 77, 19], Operations: []
Exploring Operation: 19-9=10, Resulting Numbers: [3, 77, 10]
Generated Node #2: [3, 77, 10] from Operation: 19-9=10
Current State: 47:[3, 77, 10], Operations: ['19-9=10']
Exploring Operation: 3*10=30, Resulting Numbers: [77, 30]
Generated Node #3: [77, 30] from Operation: 3*10=30
Current State: 47:[77, 30], Operations: ['19-9=10', '3*10=30']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
7,
48,
61,
40
] | 62 | [
"48-7=41",
"61-40=21",
"41+21=62"
] | Current State: 62:[7, 48, 61, 40], Operations: []
Exploring Operation: 48-7=41, Resulting Numbers: [61, 40, 41]
Generated Node #2: [61, 40, 41] from Operation: 48-7=41
Current State: 62:[61, 40, 41], Operations: ['48-7=41']
Exploring Operation: 61-40=21, Resulting Numbers: [41, 21]
Generated Node #3: [41, 21] from Operation: 61-40=21
Current State: 62:[41, 21], Operations: ['48-7=41', '61-40=21']
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
24,
45,
38,
55
] | 86 | [
"24+45=69",
"55-38=17",
"69+17=86"
] | Current State: 86:[24, 45, 38, 55], Operations: []
Exploring Operation: 24+45=69, Resulting Numbers: [38, 55, 69]
Generated Node #2: [38, 55, 69] from Operation: 24+45=69
Current State: 86:[38, 55, 69], Operations: ['24+45=69']
Exploring Operation: 55-38=17, Resulting Numbers: [69, 17]
Generated Node #3: [69, 17] from Operation: 55-38=17
Current State: 86:[69, 17], Operations: ['24+45=69', '55-38=17']
Exploring Operation: 69+17=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
71,
8,
24,
43
] | 81 | [
"43-24=19",
"8*19=152",
"152-71=81"
] | Current State: 81:[71, 8, 24, 43], Operations: []
Exploring Operation: 43-24=19, Resulting Numbers: [71, 8, 19]
Generated Node #2: [71, 8, 19] from Operation: 43-24=19
Current State: 81:[71, 8, 19], Operations: ['43-24=19']
Exploring Operation: 8*19=152, Resulting Numbers: [71, 152]
Generated Node #3: [71, 152] from Operation: 8*19=152
Current State: 81:[71, 152], Operations: ['43-24=19', '8*19=152']
Exploring Operation: 152-71=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
30,
11,
36,
61
] | 66 | [
"30+11=41",
"61-36=25",
"41+25=66"
] | Current State: 66:[30, 11, 36, 61], Operations: []
Exploring Operation: 30+11=41, Resulting Numbers: [36, 61, 41]
Generated Node #2: [36, 61, 41] from Operation: 30+11=41
Current State: 66:[36, 61, 41], Operations: ['30+11=41']
Exploring Operation: 61-36=25, Resulting Numbers: [41, 25]
Generated Node #3: [41, 25] from Operation: 61-36=25
Current State: 66:[41, 25], Operations: ['30+11=41', '61-36=25']
Exploring Operation: 41+25=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
30,
31,
36,
83
] | 95 | [
"31+83=114",
"30*114=3420",
"3420/36=95"
] | Current State: 95:[30, 31, 36, 83], Operations: []
Exploring Operation: 31+83=114, Resulting Numbers: [30, 36, 114]
Generated Node #2: [30, 36, 114] from Operation: 31+83=114
Current State: 95:[30, 36, 114], Operations: ['31+83=114']
Exploring Operation: 30*114=3420, Resulting Numbers: [36, 3420]
Generated Node #3: [36, 3420] from Operation: 30*114=3420
Current State: 95:[36, 3420], Operations: ['31+83=114', '30*114=3420']
Exploring Operation: 3420/36=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
24,
9,
41,
55
] | 13 | [
"41+55=96",
"96/24=4",
"9+4=13"
] | Current State: 13:[24, 9, 41, 55], Operations: []
Exploring Operation: 41+55=96, Resulting Numbers: [24, 9, 96]
Generated Node #2: [24, 9, 96] from Operation: 41+55=96
Current State: 13:[24, 9, 96], Operations: ['41+55=96']
Exploring Operation: 96/24=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 96/24=4
Current State: 13:[9, 4], Operations: ['41+55=96', '96/24=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
97,
60,
86,
39
] | 32 | [
"97+60=157",
"86+39=125",
"157-125=32"
] | Current State: 32:[97, 60, 86, 39], Operations: []
Exploring Operation: 97+60=157, Resulting Numbers: [86, 39, 157]
Generated Node #2: [86, 39, 157] from Operation: 97+60=157
Current State: 32:[86, 39, 157], Operations: ['97+60=157']
Exploring Operation: 86+39=125, Resulting Numbers: [157, 125]
Generated Node #3: [157, 125] from Operation: 86+39=125
Current State: 32:[157, 125], Operations: ['97+60=157', '86+39=125']
Exploring Operation: 157-125=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
49,
1,
87,
41
] | 78 | [
"49+1=50",
"87+41=128",
"128-50=78"
] | Current State: 78:[49, 1, 87, 41], Operations: []
Exploring Operation: 49+1=50, Resulting Numbers: [87, 41, 50]
Generated Node #2: [87, 41, 50] from Operation: 49+1=50
Current State: 78:[87, 41, 50], Operations: ['49+1=50']
Exploring Operation: 87+41=128, Resulting Numbers: [50, 128]
Generated Node #3: [50, 128] from Operation: 87+41=128
Current State: 78:[50, 128], Operations: ['49+1=50', '87+41=128']
Exploring Operation: 128-50=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
97,
58,
20,
76
] | 95 | [
"97-58=39",
"76-20=56",
"39+56=95"
] | Current State: 95:[97, 58, 20, 76], Operations: []
Exploring Operation: 97-58=39, Resulting Numbers: [20, 76, 39]
Generated Node #2: [20, 76, 39] from Operation: 97-58=39
Current State: 95:[20, 76, 39], Operations: ['97-58=39']
Exploring Operation: 76-20=56, Resulting Numbers: [39, 56]
Generated Node #3: [39, 56] from Operation: 76-20=56
Current State: 95:[39, 56], Operations: ['97-58=39', '76-20=56']
Exploring Operation: 39+56=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
70,
6,
81,
6
] | 23 | [
"70-6=64",
"81+6=87",
"87-64=23"
] | Current State: 23:[70, 6, 81, 6], Operations: []
Exploring Operation: 70-6=64, Resulting Numbers: [81, 64]
Generated Node #2: [81, 64] from Operation: 70-6=64
Current State: 23:[81, 64], Operations: ['70-6=64']
Exploring Operation: 81+6=87, Resulting Numbers: [64, 87]
Generated Node #3: [64, 87] from Operation: 81+6=87
Current State: 23:[64, 87], Operations: ['70-6=64', '81+6=87']
Exploring Operation: 87-64=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
34,
59,
27,
13
] | 26 | [
"59-34=25",
"27-25=2",
"13*2=26"
] | Current State: 26:[34, 59, 27, 13], Operations: []
Exploring Operation: 59-34=25, Resulting Numbers: [27, 13, 25]
Generated Node #2: [27, 13, 25] from Operation: 59-34=25
Current State: 26:[27, 13, 25], Operations: ['59-34=25']
Exploring Operation: 27-25=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 27-25=2
Current State: 26:[13, 2], Operations: ['59-34=25', '27-25=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
89,
65,
78,
19
] | 84 | [
"89-19=70",
"78*70=5460",
"5460/65=84"
] | Current State: 84:[89, 65, 78, 19], Operations: []
Exploring Operation: 89-19=70, Resulting Numbers: [65, 78, 70]
Generated Node #2: [65, 78, 70] from Operation: 89-19=70
Current State: 84:[65, 78, 70], Operations: ['89-19=70']
Exploring Operation: 78*70=5460, Resulting Numbers: [65, 5460]
Generated Node #3: [65, 5460] from Operation: 78*70=5460
Current State: 84:[65, 5460], Operations: ['89-19=70', '78*70=5460']
Exploring Operation: 5460/65=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
57,
52,
57,
82
] | 52 | [
"57-57=0",
"82*0=0",
"52+0=52"
] | Current State: 52:[57, 52, 57, 82], Operations: []
Exploring Operation: 57-57=0, Resulting Numbers: [52, 82, 0]
Generated Node #2: [52, 82, 0] from Operation: 57-57=0
Current State: 52:[52, 82, 0], Operations: ['57-57=0']
Exploring Operation: 82*0=0, Resulting Numbers: [52, 0]
Generated Node #3: [52, 0] from Operation: 82*0=0
Current State: 52:[52, 0], Operations: ['57-57=0', '82*0=0']
Exploring Operation: 52+0=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
84,
7,
92,
76
] | 12 | [
"92-84=8",
"76+8=84",
"84/7=12"
] | Current State: 12:[84, 7, 92, 76], Operations: []
Exploring Operation: 92-84=8, Resulting Numbers: [7, 76, 8]
Generated Node #2: [7, 76, 8] from Operation: 92-84=8
Current State: 12:[7, 76, 8], Operations: ['92-84=8']
Exploring Operation: 76+8=84, Resulting Numbers: [7, 84]
Generated Node #3: [7, 84] from Operation: 76+8=84
Current State: 12:[7, 84], Operations: ['92-84=8', '76+8=84']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
48,
33,
32,
6
] | 37 | [
"48/6=8",
"32/8=4",
"33+4=37"
] | Current State: 37:[48, 33, 32, 6], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [33, 32, 8]
Generated Node #2: [33, 32, 8] from Operation: 48/6=8
Current State: 37:[33, 32, 8], Operations: ['48/6=8']
Exploring Operation: 32/8=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 32/8=4
Current State: 37:[33, 4], Operations: ['48/6=8', '32/8=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
92,
5,
30,
5
] | 95 | [
"5+5=10",
"30/10=3",
"92+3=95"
] | Current State: 95:[92, 5, 30, 5], Operations: []
Exploring Operation: 5+5=10, Resulting Numbers: [92, 30, 10]
Generated Node #2: [92, 30, 10] from Operation: 5+5=10
Current State: 95:[92, 30, 10], Operations: ['5+5=10']
Exploring Operation: 30/10=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 30/10=3
Current State: 95:[92, 3], Operations: ['5+5=10', '30/10=3']
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
74,
64,
1,
62
] | 74 | [
"64-1=63",
"63-62=1",
"74*1=74"
] | Current State: 74:[74, 64, 1, 62], Operations: []
Exploring Operation: 64-1=63, Resulting Numbers: [74, 62, 63]
Generated Node #2: [74, 62, 63] from Operation: 64-1=63
Current State: 74:[74, 62, 63], Operations: ['64-1=63']
Exploring Operation: 63-62=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 63-62=1
Current State: 74:[74, 1], Operations: ['64-1=63', '63-62=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
46,
18,
81,
81
] | 37 | [
"81+81=162",
"162/18=9",
"46-9=37"
] | Current State: 37:[46, 18, 81, 81], Operations: []
Exploring Operation: 81+81=162, Resulting Numbers: [46, 18, 162]
Generated Node #2: [46, 18, 162] from Operation: 81+81=162
Current State: 37:[46, 18, 162], Operations: ['81+81=162']
Exploring Operation: 162/18=9, Resulting Numbers: [46, 9]
Generated Node #3: [46, 9] from Operation: 162/18=9
Current State: 37:[46, 9], Operations: ['81+81=162', '162/18=9']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
4,
13,
3,
29
] | 15 | [
"4+13=17",
"3+29=32",
"32-17=15"
] | Current State: 15:[4, 13, 3, 29], Operations: []
Exploring Operation: 4+13=17, Resulting Numbers: [3, 29, 17]
Generated Node #2: [3, 29, 17] from Operation: 4+13=17
Current State: 15:[3, 29, 17], Operations: ['4+13=17']
Exploring Operation: 3+29=32, Resulting Numbers: [17, 32]
Generated Node #3: [17, 32] from Operation: 3+29=32
Current State: 15:[17, 32], Operations: ['4+13=17', '3+29=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
38,
78,
48,
36
] | 63 | [
"38-36=2",
"78+48=126",
"126/2=63"
] | Current State: 63:[38, 78, 48, 36], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [78, 48, 2]
Generated Node #2: [78, 48, 2] from Operation: 38-36=2
Current State: 63:[78, 48, 2], Operations: ['38-36=2']
Exploring Operation: 78+48=126, Resulting Numbers: [2, 126]
Generated Node #3: [2, 126] from Operation: 78+48=126
Current State: 63:[2, 126], Operations: ['38-36=2', '78+48=126']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
69,
65,
23,
98
] | 79 | [
"69-65=4",
"98-23=75",
"4+75=79"
] | Current State: 79:[69, 65, 23, 98], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [23, 98, 4]
Generated Node #2: [23, 98, 4] from Operation: 69-65=4
Current State: 79:[23, 98, 4], Operations: ['69-65=4']
Exploring Operation: 98-23=75, Resulting Numbers: [4, 75]
Generated Node #3: [4, 75] from Operation: 98-23=75
Current State: 79:[4, 75], Operations: ['69-65=4', '98-23=75']
Exploring Operation: 4+75=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
26,
22,
82,
11
] | 15 | [
"22+82=104",
"104/26=4",
"11+4=15"
] | Current State: 15:[26, 22, 82, 11], Operations: []
Exploring Operation: 22+82=104, Resulting Numbers: [26, 11, 104]
Generated Node #2: [26, 11, 104] from Operation: 22+82=104
Current State: 15:[26, 11, 104], Operations: ['22+82=104']
Exploring Operation: 104/26=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 104/26=4
Current State: 15:[11, 4], Operations: ['22+82=104', '104/26=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
41,
89,
74,
35
] | 87 | [
"89-41=48",
"74-35=39",
"48+39=87"
] | Current State: 87:[41, 89, 74, 35], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [74, 35, 48]
Generated Node #2: [74, 35, 48] from Operation: 89-41=48
Current State: 87:[74, 35, 48], Operations: ['89-41=48']
Exploring Operation: 74-35=39, Resulting Numbers: [48, 39]
Generated Node #3: [48, 39] from Operation: 74-35=39
Current State: 87:[48, 39], Operations: ['89-41=48', '74-35=39']
Exploring Operation: 48+39=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
78,
72,
34,
45
] | 93 | [
"72*45=3240",
"3240-78=3162",
"3162/34=93"
] | Current State: 93:[78, 72, 34, 45], Operations: []
Exploring Operation: 72*45=3240, Resulting Numbers: [78, 34, 3240]
Generated Node #2: [78, 34, 3240] from Operation: 72*45=3240
Current State: 93:[78, 34, 3240], Operations: ['72*45=3240']
Exploring Operation: 3240-78=3162, Resulting Numbers: [34, 3162]
Generated Node #3: [34, 3162] from Operation: 3240-78=3162
Current State: 93:[34, 3162], Operations: ['72*45=3240', '3240-78=3162']
Exploring Operation: 3162/34=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
38,
20,
16,
6
] | 40 | [
"38-20=18",
"16+6=22",
"18+22=40"
] | Current State: 40:[38, 20, 16, 6], Operations: []
Exploring Operation: 38-20=18, Resulting Numbers: [16, 6, 18]
Generated Node #2: [16, 6, 18] from Operation: 38-20=18
Current State: 40:[16, 6, 18], Operations: ['38-20=18']
Exploring Operation: 16+6=22, Resulting Numbers: [18, 22]
Generated Node #3: [18, 22] from Operation: 16+6=22
Current State: 40:[18, 22], Operations: ['38-20=18', '16+6=22']
Exploring Operation: 18+22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
2,
41,
56,
72
] | 61 | [
"72/2=36",
"41+56=97",
"97-36=61"
] | Current State: 61:[2, 41, 56, 72], Operations: []
Exploring Operation: 72/2=36, Resulting Numbers: [41, 56, 36]
Generated Node #2: [41, 56, 36] from Operation: 72/2=36
Current State: 61:[41, 56, 36], Operations: ['72/2=36']
Exploring Operation: 41+56=97, Resulting Numbers: [36, 97]
Generated Node #3: [36, 97] from Operation: 41+56=97
Current State: 61:[36, 97], Operations: ['72/2=36', '41+56=97']
Exploring Operation: 97-36=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
75,
27,
90,
38
] | 15 | [
"75+90=165",
"38-27=11",
"165/11=15"
] | Current State: 15:[75, 27, 90, 38], Operations: []
Exploring Operation: 75+90=165, Resulting Numbers: [27, 38, 165]
Generated Node #2: [27, 38, 165] from Operation: 75+90=165
Current State: 15:[27, 38, 165], Operations: ['75+90=165']
Exploring Operation: 38-27=11, Resulting Numbers: [165, 11]
Generated Node #3: [165, 11] from Operation: 38-27=11
Current State: 15:[165, 11], Operations: ['75+90=165', '38-27=11']
Exploring Operation: 165/11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
66,
96,
33,
77
] | 79 | [
"96*77=7392",
"7392/66=112",
"112-33=79"
] | Current State: 79:[66, 96, 33, 77], Operations: []
Exploring Operation: 96*77=7392, Resulting Numbers: [66, 33, 7392]
Generated Node #2: [66, 33, 7392] from Operation: 96*77=7392
Current State: 79:[66, 33, 7392], Operations: ['96*77=7392']
Exploring Operation: 7392/66=112, Resulting Numbers: [33, 112]
Generated Node #3: [33, 112] from Operation: 7392/66=112
Current State: 79:[33, 112], Operations: ['96*77=7392', '7392/66=112']
Exploring Operation: 112-33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
92,
40,
80,
5
] | 99 | [
"92+5=97",
"80/40=2",
"97+2=99"
] | Current State: 99:[92, 40, 80, 5], Operations: []
Exploring Operation: 92+5=97, Resulting Numbers: [40, 80, 97]
Generated Node #2: [40, 80, 97] from Operation: 92+5=97
Current State: 99:[40, 80, 97], Operations: ['92+5=97']
Exploring Operation: 80/40=2, Resulting Numbers: [97, 2]
Generated Node #3: [97, 2] from Operation: 80/40=2
Current State: 99:[97, 2], Operations: ['92+5=97', '80/40=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
17,
59,
90,
63
] | 50 | [
"90+63=153",
"153/17=9",
"59-9=50"
] | Current State: 50:[17, 59, 90, 63], Operations: []
Exploring Operation: 90+63=153, Resulting Numbers: [17, 59, 153]
Generated Node #2: [17, 59, 153] from Operation: 90+63=153
Current State: 50:[17, 59, 153], Operations: ['90+63=153']
Exploring Operation: 153/17=9, Resulting Numbers: [59, 9]
Generated Node #3: [59, 9] from Operation: 153/17=9
Current State: 50:[59, 9], Operations: ['90+63=153', '153/17=9']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
3,
80,
89,
51
] | 16 | [
"3*51=153",
"80+89=169",
"169-153=16"
] | Current State: 16:[3, 80, 89, 51], Operations: []
Exploring Operation: 3*51=153, Resulting Numbers: [80, 89, 153]
Generated Node #2: [80, 89, 153] from Operation: 3*51=153
Current State: 16:[80, 89, 153], Operations: ['3*51=153']
Exploring Operation: 80+89=169, Resulting Numbers: [153, 169]
Generated Node #3: [153, 169] from Operation: 80+89=169
Current State: 16:[153, 169], Operations: ['3*51=153', '80+89=169']
Exploring Operation: 169-153=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
3,
27,
55,
12
] | 22 | [
"3+27=30",
"55*12=660",
"660/30=22"
] | Current State: 22:[3, 27, 55, 12], Operations: []
Exploring Operation: 3+27=30, Resulting Numbers: [55, 12, 30]
Generated Node #2: [55, 12, 30] from Operation: 3+27=30
Current State: 22:[55, 12, 30], Operations: ['3+27=30']
Exploring Operation: 55*12=660, Resulting Numbers: [30, 660]
Generated Node #3: [30, 660] from Operation: 55*12=660
Current State: 22:[30, 660], Operations: ['3+27=30', '55*12=660']
Exploring Operation: 660/30=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
80,
19,
3,
22
] | 33 | [
"80+19=99",
"3*22=66",
"99-66=33"
] | Current State: 33:[80, 19, 3, 22], Operations: []
Exploring Operation: 80+19=99, Resulting Numbers: [3, 22, 99]
Generated Node #2: [3, 22, 99] from Operation: 80+19=99
Current State: 33:[3, 22, 99], Operations: ['80+19=99']
Exploring Operation: 3*22=66, Resulting Numbers: [99, 66]
Generated Node #3: [99, 66] from Operation: 3*22=66
Current State: 33:[99, 66], Operations: ['80+19=99', '3*22=66']
Exploring Operation: 99-66=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
99,
67,
5,
49
] | 85 | [
"99-67=32",
"49-32=17",
"5*17=85"
] | Current State: 85:[99, 67, 5, 49], Operations: []
Exploring Operation: 99-67=32, Resulting Numbers: [5, 49, 32]
Generated Node #2: [5, 49, 32] from Operation: 99-67=32
Current State: 85:[5, 49, 32], Operations: ['99-67=32']
Exploring Operation: 49-32=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 49-32=17
Current State: 85:[5, 17], Operations: ['99-67=32', '49-32=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
67,
64,
31,
9
] | 19 | [
"67-64=3",
"31-9=22",
"22-3=19"
] | Current State: 19:[67, 64, 31, 9], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [31, 9, 3]
Generated Node #2: [31, 9, 3] from Operation: 67-64=3
Current State: 19:[31, 9, 3], Operations: ['67-64=3']
Exploring Operation: 31-9=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 31-9=22
Current State: 19:[3, 22], Operations: ['67-64=3', '31-9=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
28,
76,
83,
29
] | 25 | [
"83-76=7",
"28/7=4",
"29-4=25"
] | Current State: 25:[28, 76, 83, 29], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [28, 29, 7]
Generated Node #2: [28, 29, 7] from Operation: 83-76=7
Current State: 25:[28, 29, 7], Operations: ['83-76=7']
Exploring Operation: 28/7=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 28/7=4
Current State: 25:[29, 4], Operations: ['83-76=7', '28/7=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
84,
4,
86,
22
] | 86 | [
"84/4=21",
"22-21=1",
"86*1=86"
] | Current State: 86:[84, 4, 86, 22], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [86, 22, 21]
Generated Node #2: [86, 22, 21] from Operation: 84/4=21
Current State: 86:[86, 22, 21], Operations: ['84/4=21']
Exploring Operation: 22-21=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 22-21=1
Current State: 86:[86, 1], Operations: ['84/4=21', '22-21=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
1,
33,
47,
66
] | 15 | [
"1+33=34",
"66-47=19",
"34-19=15"
] | Current State: 15:[1, 33, 47, 66], Operations: []
Exploring Operation: 1+33=34, Resulting Numbers: [47, 66, 34]
Generated Node #2: [47, 66, 34] from Operation: 1+33=34
Current State: 15:[47, 66, 34], Operations: ['1+33=34']
Exploring Operation: 66-47=19, Resulting Numbers: [34, 19]
Generated Node #3: [34, 19] from Operation: 66-47=19
Current State: 15:[34, 19], Operations: ['1+33=34', '66-47=19']
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
91,
52,
4,
46
] | 28 | [
"91-52=39",
"46-39=7",
"4*7=28"
] | Current State: 28:[91, 52, 4, 46], Operations: []
Exploring Operation: 91-52=39, Resulting Numbers: [4, 46, 39]
Generated Node #2: [4, 46, 39] from Operation: 91-52=39
Current State: 28:[4, 46, 39], Operations: ['91-52=39']
Exploring Operation: 46-39=7, Resulting Numbers: [4, 7]
Generated Node #3: [4, 7] from Operation: 46-39=7
Current State: 28:[4, 7], Operations: ['91-52=39', '46-39=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
26,
18,
52,
1
] | 20 | [
"52/26=2",
"18*1=18",
"2+18=20"
] | Current State: 20:[26, 18, 52, 1], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [18, 1, 2]
Generated Node #2: [18, 1, 2] from Operation: 52/26=2
Current State: 20:[18, 1, 2], Operations: ['52/26=2']
Exploring Operation: 18*1=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 18*1=18
Current State: 20:[2, 18], Operations: ['52/26=2', '18*1=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
60,
1,
9,
2
] | 77 | [
"60-1=59",
"9*2=18",
"59+18=77"
] | Current State: 77:[60, 1, 9, 2], Operations: []
Exploring Operation: 60-1=59, Resulting Numbers: [9, 2, 59]
Generated Node #2: [9, 2, 59] from Operation: 60-1=59
Current State: 77:[9, 2, 59], Operations: ['60-1=59']
Exploring Operation: 9*2=18, Resulting Numbers: [59, 18]
Generated Node #3: [59, 18] from Operation: 9*2=18
Current State: 77:[59, 18], Operations: ['60-1=59', '9*2=18']
Exploring Operation: 59+18=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
80,
73,
38,
8
] | 39 | [
"80-73=7",
"38+8=46",
"46-7=39"
] | Current State: 39:[80, 73, 38, 8], Operations: []
Exploring Operation: 80-73=7, Resulting Numbers: [38, 8, 7]
Generated Node #2: [38, 8, 7] from Operation: 80-73=7
Current State: 39:[38, 8, 7], Operations: ['80-73=7']
Exploring Operation: 38+8=46, Resulting Numbers: [7, 46]
Generated Node #3: [7, 46] from Operation: 38+8=46
Current State: 39:[7, 46], Operations: ['80-73=7', '38+8=46']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
5,
36,
76,
18
] | 53 | [
"5+36=41",
"76+18=94",
"94-41=53"
] | Current State: 53:[5, 36, 76, 18], Operations: []
Exploring Operation: 5+36=41, Resulting Numbers: [76, 18, 41]
Generated Node #2: [76, 18, 41] from Operation: 5+36=41
Current State: 53:[76, 18, 41], Operations: ['5+36=41']
Exploring Operation: 76+18=94, Resulting Numbers: [41, 94]
Generated Node #3: [41, 94] from Operation: 76+18=94
Current State: 53:[41, 94], Operations: ['5+36=41', '76+18=94']
Exploring Operation: 94-41=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
87,
6,
84,
8
] | 17 | [
"87+6=93",
"84-8=76",
"93-76=17"
] | Current State: 17:[87, 6, 84, 8], Operations: []
Exploring Operation: 87+6=93, Resulting Numbers: [84, 8, 93]
Generated Node #2: [84, 8, 93] from Operation: 87+6=93
Current State: 17:[84, 8, 93], Operations: ['87+6=93']
Exploring Operation: 84-8=76, Resulting Numbers: [93, 76]
Generated Node #3: [93, 76] from Operation: 84-8=76
Current State: 17:[93, 76], Operations: ['87+6=93', '84-8=76']
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
71,
96,
72,
65
] | 32 | [
"96-71=25",
"72-65=7",
"25+7=32"
] | Current State: 32:[71, 96, 72, 65], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [72, 65, 25]
Generated Node #2: [72, 65, 25] from Operation: 96-71=25
Current State: 32:[72, 65, 25], Operations: ['96-71=25']
Exploring Operation: 72-65=7, Resulting Numbers: [25, 7]
Generated Node #3: [25, 7] from Operation: 72-65=7
Current State: 32:[25, 7], Operations: ['96-71=25', '72-65=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
47,
45,
51,
99
] | 46 | [
"47-45=2",
"99-51=48",
"48-2=46"
] | Current State: 46:[47, 45, 51, 99], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [51, 99, 2]
Generated Node #2: [51, 99, 2] from Operation: 47-45=2
Current State: 46:[51, 99, 2], Operations: ['47-45=2']
Exploring Operation: 99-51=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 99-51=48
Current State: 46:[2, 48], Operations: ['47-45=2', '99-51=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
20,
23,
2,
31
] | 26 | [
"23-20=3",
"31-2=29",
"29-3=26"
] | Current State: 26:[20, 23, 2, 31], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [2, 31, 3]
Generated Node #2: [2, 31, 3] from Operation: 23-20=3
Current State: 26:[2, 31, 3], Operations: ['23-20=3']
Exploring Operation: 31-2=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 31-2=29
Current State: 26:[3, 29], Operations: ['23-20=3', '31-2=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
76,
37,
85,
63
] | 80 | [
"85+63=148",
"148/37=4",
"76+4=80"
] | Current State: 80:[76, 37, 85, 63], Operations: []
Exploring Operation: 85+63=148, Resulting Numbers: [76, 37, 148]
Generated Node #2: [76, 37, 148] from Operation: 85+63=148
Current State: 80:[76, 37, 148], Operations: ['85+63=148']
Exploring Operation: 148/37=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 148/37=4
Current State: 80:[76, 4], Operations: ['85+63=148', '148/37=4']
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
87,
58,
42,
25
] | 91 | [
"58+42=100",
"100/25=4",
"87+4=91"
] | Current State: 91:[87, 58, 42, 25], Operations: []
Exploring Operation: 58+42=100, Resulting Numbers: [87, 25, 100]
Generated Node #2: [87, 25, 100] from Operation: 58+42=100
Current State: 91:[87, 25, 100], Operations: ['58+42=100']
Exploring Operation: 100/25=4, Resulting Numbers: [87, 4]
Generated Node #3: [87, 4] from Operation: 100/25=4
Current State: 91:[87, 4], Operations: ['58+42=100', '100/25=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
82,
6,
4,
60
] | 38 | [
"82+6=88",
"88/4=22",
"60-22=38"
] | Current State: 38:[82, 6, 4, 60], Operations: []
Exploring Operation: 82+6=88, Resulting Numbers: [4, 60, 88]
Generated Node #2: [4, 60, 88] from Operation: 82+6=88
Current State: 38:[4, 60, 88], Operations: ['82+6=88']
Exploring Operation: 88/4=22, Resulting Numbers: [60, 22]
Generated Node #3: [60, 22] from Operation: 88/4=22
Current State: 38:[60, 22], Operations: ['82+6=88', '88/4=22']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
84,
8,
2,
53
] | 27 | [
"84-53=31",
"8/2=4",
"31-4=27"
] | Current State: 27:[84, 8, 2, 53], Operations: []
Exploring Operation: 84-53=31, Resulting Numbers: [8, 2, 31]
Generated Node #2: [8, 2, 31] from Operation: 84-53=31
Current State: 27:[8, 2, 31], Operations: ['84-53=31']
Exploring Operation: 8/2=4, Resulting Numbers: [31, 4]
Generated Node #3: [31, 4] from Operation: 8/2=4
Current State: 27:[31, 4], Operations: ['84-53=31', '8/2=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
35,
10,
48,
96
] | 93 | [
"35+10=45",
"96-48=48",
"45+48=93"
] | Current State: 93:[35, 10, 48, 96], Operations: []
Exploring Operation: 35+10=45, Resulting Numbers: [48, 96, 45]
Generated Node #2: [48, 96, 45] from Operation: 35+10=45
Current State: 93:[48, 96, 45], Operations: ['35+10=45']
Exploring Operation: 96-48=48, Resulting Numbers: [45, 48]
Generated Node #3: [45, 48] from Operation: 96-48=48
Current State: 93:[45, 48], Operations: ['35+10=45', '96-48=48']
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
48,
60,
6,
13
] | 81 | [
"48/6=8",
"60+13=73",
"8+73=81"
] | Current State: 81:[48, 60, 6, 13], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [60, 13, 8]
Generated Node #2: [60, 13, 8] from Operation: 48/6=8
Current State: 81:[60, 13, 8], Operations: ['48/6=8']
Exploring Operation: 60+13=73, Resulting Numbers: [8, 73]
Generated Node #3: [8, 73] from Operation: 60+13=73
Current State: 81:[8, 73], Operations: ['48/6=8', '60+13=73']
Exploring Operation: 8+73=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
87,
46,
64,
11
] | 13 | [
"87-64=23",
"46/23=2",
"11+2=13"
] | Current State: 13:[87, 46, 64, 11], Operations: []
Exploring Operation: 87-64=23, Resulting Numbers: [46, 11, 23]
Generated Node #2: [46, 11, 23] from Operation: 87-64=23
Current State: 13:[46, 11, 23], Operations: ['87-64=23']
Exploring Operation: 46/23=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 46/23=2
Current State: 13:[11, 2], Operations: ['87-64=23', '46/23=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
13,
85,
92,
5
] | 96 | [
"92-13=79",
"85/5=17",
"79+17=96"
] | Current State: 96:[13, 85, 92, 5], Operations: []
Exploring Operation: 92-13=79, Resulting Numbers: [85, 5, 79]
Generated Node #2: [85, 5, 79] from Operation: 92-13=79
Current State: 96:[85, 5, 79], Operations: ['92-13=79']
Exploring Operation: 85/5=17, Resulting Numbers: [79, 17]
Generated Node #3: [79, 17] from Operation: 85/5=17
Current State: 96:[79, 17], Operations: ['92-13=79', '85/5=17']
Exploring Operation: 79+17=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
42,
43,
46,
54
] | 15 | [
"42+43=85",
"46+54=100",
"100-85=15"
] | Current State: 15:[42, 43, 46, 54], Operations: []
Exploring Operation: 42+43=85, Resulting Numbers: [46, 54, 85]
Generated Node #2: [46, 54, 85] from Operation: 42+43=85
Current State: 15:[46, 54, 85], Operations: ['42+43=85']
Exploring Operation: 46+54=100, Resulting Numbers: [85, 100]
Generated Node #3: [85, 100] from Operation: 46+54=100
Current State: 15:[85, 100], Operations: ['42+43=85', '46+54=100']
Exploring Operation: 100-85=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
74,
1,
27,
21
] | 67 | [
"74-1=73",
"27-21=6",
"73-6=67"
] | Current State: 67:[74, 1, 27, 21], Operations: []
Exploring Operation: 74-1=73, Resulting Numbers: [27, 21, 73]
Generated Node #2: [27, 21, 73] from Operation: 74-1=73
Current State: 67:[27, 21, 73], Operations: ['74-1=73']
Exploring Operation: 27-21=6, Resulting Numbers: [73, 6]
Generated Node #3: [73, 6] from Operation: 27-21=6
Current State: 67:[73, 6], Operations: ['74-1=73', '27-21=6']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
54,
96,
20,
49
] | 92 | [
"54-49=5",
"20/5=4",
"96-4=92"
] | Current State: 92:[54, 96, 20, 49], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [96, 20, 5]
Generated Node #2: [96, 20, 5] from Operation: 54-49=5
Current State: 92:[96, 20, 5], Operations: ['54-49=5']
Exploring Operation: 20/5=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 20/5=4
Current State: 92:[96, 4], Operations: ['54-49=5', '20/5=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
65,
12,
51,
96
] | 70 | [
"65+12=77",
"51+96=147",
"147-77=70"
] | Current State: 70:[65, 12, 51, 96], Operations: []
Exploring Operation: 65+12=77, Resulting Numbers: [51, 96, 77]
Generated Node #2: [51, 96, 77] from Operation: 65+12=77
Current State: 70:[51, 96, 77], Operations: ['65+12=77']
Exploring Operation: 51+96=147, Resulting Numbers: [77, 147]
Generated Node #3: [77, 147] from Operation: 51+96=147
Current State: 70:[77, 147], Operations: ['65+12=77', '51+96=147']
Exploring Operation: 147-77=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
4,
73,
34,
82
] | 100 | [
"73+34=107",
"107-82=25",
"4*25=100"
] | Current State: 100:[4, 73, 34, 82], Operations: []
Exploring Operation: 73+34=107, Resulting Numbers: [4, 82, 107]
Generated Node #2: [4, 82, 107] from Operation: 73+34=107
Current State: 100:[4, 82, 107], Operations: ['73+34=107']
Exploring Operation: 107-82=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 107-82=25
Current State: 100:[4, 25], Operations: ['73+34=107', '107-82=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
21,
96,
13,
55
] | 48 | [
"21*96=2016",
"55-13=42",
"2016/42=48"
] | Current State: 48:[21, 96, 13, 55], Operations: []
Exploring Operation: 21*96=2016, Resulting Numbers: [13, 55, 2016]
Generated Node #2: [13, 55, 2016] from Operation: 21*96=2016
Current State: 48:[13, 55, 2016], Operations: ['21*96=2016']
Exploring Operation: 55-13=42, Resulting Numbers: [2016, 42]
Generated Node #3: [2016, 42] from Operation: 55-13=42
Current State: 48:[2016, 42], Operations: ['21*96=2016', '55-13=42']
Exploring Operation: 2016/42=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
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