nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
48,
20,
98,
92
] | 12 | [
"98-92=6",
"48/6=8",
"20-8=12"
] | Current State: 12:[48, 20, 98, 92], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [48, 20, 6]
Generated Node #2: [48, 20, 6] from Operation: 98-92=6
Current State: 12:[48, 20, 6], Operations: ['98-92=6']
Exploring Operation: 48/6=8, Resulting Numbers: [20, 8]
Generated Node #3: [20, 8] from Operation: 48/6=8
Current State: 12:[20, 8], Operations: ['98-92=6', '48/6=8']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
26,
15,
97,
15
] | 26 | [
"15-15=0",
"97*0=0",
"26+0=26"
] | Current State: 26:[26, 15, 97, 15], Operations: []
Exploring Operation: 15-15=0, Resulting Numbers: [26, 97, 0]
Generated Node #2: [26, 97, 0] from Operation: 15-15=0
Current State: 26:[26, 97, 0], Operations: ['15-15=0']
Exploring Operation: 97*0=0, Resulting Numbers: [26, 0]
Generated Node #3: [26, 0] from Operation: 97*0=0
Current State: 26:[26, 0], Operations: ['15-15=0', '97*0=0']
Exploring Operation: 26+0=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
3,
16,
71,
46
] | 55 | [
"71+46=117",
"117/3=39",
"16+39=55"
] | Current State: 55:[3, 16, 71, 46], Operations: []
Exploring Operation: 71+46=117, Resulting Numbers: [3, 16, 117]
Generated Node #2: [3, 16, 117] from Operation: 71+46=117
Current State: 55:[3, 16, 117], Operations: ['71+46=117']
Exploring Operation: 117/3=39, Resulting Numbers: [16, 39]
Generated Node #3: [16, 39] from Operation: 117/3=39
Current State: 55:[16, 39], Operations: ['71+46=117', '117/3=39']
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
46,
72,
94,
95
] | 47 | [
"95-72=23",
"46/23=2",
"94/2=47"
] | Current State: 47:[46, 72, 94, 95], Operations: []
Exploring Operation: 95-72=23, Resulting Numbers: [46, 94, 23]
Generated Node #2: [46, 94, 23] from Operation: 95-72=23
Current State: 47:[46, 94, 23], Operations: ['95-72=23']
Exploring Operation: 46/23=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 46/23=2
Current State: 47:[94, 2], Operations: ['95-72=23', '46/23=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
2,
9,
33,
63
] | 89 | [
"9-2=7",
"33+63=96",
"96-7=89"
] | Current State: 89:[2, 9, 33, 63], Operations: []
Exploring Operation: 9-2=7, Resulting Numbers: [33, 63, 7]
Generated Node #2: [33, 63, 7] from Operation: 9-2=7
Current State: 89:[33, 63, 7], Operations: ['9-2=7']
Exploring Operation: 33+63=96, Resulting Numbers: [7, 96]
Generated Node #3: [7, 96] from Operation: 33+63=96
Current State: 89:[7, 96], Operations: ['9-2=7', '33+63=96']
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
35,
6,
23,
4
] | 18 | [
"35-23=12",
"6*12=72",
"72/4=18"
] | Current State: 18:[35, 6, 23, 4], Operations: []
Exploring Operation: 35-23=12, Resulting Numbers: [6, 4, 12]
Generated Node #2: [6, 4, 12] from Operation: 35-23=12
Current State: 18:[6, 4, 12], Operations: ['35-23=12']
Exploring Operation: 6*12=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 6*12=72
Current State: 18:[4, 72], Operations: ['35-23=12', '6*12=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
33,
2,
90,
95
] | 76 | [
"90-33=57",
"95+57=152",
"152/2=76"
] | Current State: 76:[33, 2, 90, 95], Operations: []
Exploring Operation: 90-33=57, Resulting Numbers: [2, 95, 57]
Generated Node #2: [2, 95, 57] from Operation: 90-33=57
Current State: 76:[2, 95, 57], Operations: ['90-33=57']
Exploring Operation: 95+57=152, Resulting Numbers: [2, 152]
Generated Node #3: [2, 152] from Operation: 95+57=152
Current State: 76:[2, 152], Operations: ['90-33=57', '95+57=152']
Exploring Operation: 152/2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
54,
89,
44,
99
] | 65 | [
"54*44=2376",
"2376/99=24",
"89-24=65"
] | Current State: 65:[54, 89, 44, 99], Operations: []
Exploring Operation: 54*44=2376, Resulting Numbers: [89, 99, 2376]
Generated Node #2: [89, 99, 2376] from Operation: 54*44=2376
Current State: 65:[89, 99, 2376], Operations: ['54*44=2376']
Exploring Operation: 2376/99=24, Resulting Numbers: [89, 24]
Generated Node #3: [89, 24] from Operation: 2376/99=24
Current State: 65:[89, 24], Operations: ['54*44=2376', '2376/99=24']
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
3,
38,
28,
46
] | 76 | [
"3*28=84",
"46-38=8",
"84-8=76"
] | Current State: 76:[3, 38, 28, 46], Operations: []
Exploring Operation: 3*28=84, Resulting Numbers: [38, 46, 84]
Generated Node #2: [38, 46, 84] from Operation: 3*28=84
Current State: 76:[38, 46, 84], Operations: ['3*28=84']
Exploring Operation: 46-38=8, Resulting Numbers: [84, 8]
Generated Node #3: [84, 8] from Operation: 46-38=8
Current State: 76:[84, 8], Operations: ['3*28=84', '46-38=8']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
37,
80,
30,
10
] | 48 | [
"80+30=110",
"110/10=11",
"37+11=48"
] | Current State: 48:[37, 80, 30, 10], Operations: []
Exploring Operation: 80+30=110, Resulting Numbers: [37, 10, 110]
Generated Node #2: [37, 10, 110] from Operation: 80+30=110
Current State: 48:[37, 10, 110], Operations: ['80+30=110']
Exploring Operation: 110/10=11, Resulting Numbers: [37, 11]
Generated Node #3: [37, 11] from Operation: 110/10=11
Current State: 48:[37, 11], Operations: ['80+30=110', '110/10=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
89,
34,
30,
5
] | 88 | [
"89+34=123",
"30+5=35",
"123-35=88"
] | Current State: 88:[89, 34, 30, 5], Operations: []
Exploring Operation: 89+34=123, Resulting Numbers: [30, 5, 123]
Generated Node #2: [30, 5, 123] from Operation: 89+34=123
Current State: 88:[30, 5, 123], Operations: ['89+34=123']
Exploring Operation: 30+5=35, Resulting Numbers: [123, 35]
Generated Node #3: [123, 35] from Operation: 30+5=35
Current State: 88:[123, 35], Operations: ['89+34=123', '30+5=35']
Exploring Operation: 123-35=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
2,
35,
18,
56
] | 100 | [
"18/2=9",
"35+56=91",
"9+91=100"
] | Current State: 100:[2, 35, 18, 56], Operations: []
Exploring Operation: 18/2=9, Resulting Numbers: [35, 56, 9]
Generated Node #2: [35, 56, 9] from Operation: 18/2=9
Current State: 100:[35, 56, 9], Operations: ['18/2=9']
Exploring Operation: 35+56=91, Resulting Numbers: [9, 91]
Generated Node #3: [9, 91] from Operation: 35+56=91
Current State: 100:[9, 91], Operations: ['18/2=9', '35+56=91']
Exploring Operation: 9+91=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
12,
96,
98,
8
] | 34 | [
"96/12=8",
"8*8=64",
"98-64=34"
] | Current State: 34:[12, 96, 98, 8], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [98, 8, 8]
Generated Node #2: [98, 8, 8] from Operation: 96/12=8
Current State: 34:[98, 8, 8], Operations: ['96/12=8']
Exploring Operation: 8*8=64, Resulting Numbers: [98, 64]
Generated Node #3: [98, 64] from Operation: 8*8=64
Current State: 34:[98, 64], Operations: ['96/12=8', '8*8=64']
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
76,
84,
3,
43
] | 91 | [
"76+43=119",
"84/3=28",
"119-28=91"
] | Current State: 91:[76, 84, 3, 43], Operations: []
Exploring Operation: 76+43=119, Resulting Numbers: [84, 3, 119]
Generated Node #2: [84, 3, 119] from Operation: 76+43=119
Current State: 91:[84, 3, 119], Operations: ['76+43=119']
Exploring Operation: 84/3=28, Resulting Numbers: [119, 28]
Generated Node #3: [119, 28] from Operation: 84/3=28
Current State: 91:[119, 28], Operations: ['76+43=119', '84/3=28']
Exploring Operation: 119-28=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
48,
7,
10,
98
] | 52 | [
"48-10=38",
"98/7=14",
"38+14=52"
] | Current State: 52:[48, 7, 10, 98], Operations: []
Exploring Operation: 48-10=38, Resulting Numbers: [7, 98, 38]
Generated Node #2: [7, 98, 38] from Operation: 48-10=38
Current State: 52:[7, 98, 38], Operations: ['48-10=38']
Exploring Operation: 98/7=14, Resulting Numbers: [38, 14]
Generated Node #3: [38, 14] from Operation: 98/7=14
Current State: 52:[38, 14], Operations: ['48-10=38', '98/7=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
19,
29,
66,
72
] | 85 | [
"72-66=6",
"19*6=114",
"114-29=85"
] | Current State: 85:[19, 29, 66, 72], Operations: []
Exploring Operation: 72-66=6, Resulting Numbers: [19, 29, 6]
Generated Node #2: [19, 29, 6] from Operation: 72-66=6
Current State: 85:[19, 29, 6], Operations: ['72-66=6']
Exploring Operation: 19*6=114, Resulting Numbers: [29, 114]
Generated Node #3: [29, 114] from Operation: 19*6=114
Current State: 85:[29, 114], Operations: ['72-66=6', '19*6=114']
Exploring Operation: 114-29=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
91,
6,
74,
82
] | 43 | [
"82-74=8",
"6*8=48",
"91-48=43"
] | Current State: 43:[91, 6, 74, 82], Operations: []
Exploring Operation: 82-74=8, Resulting Numbers: [91, 6, 8]
Generated Node #2: [91, 6, 8] from Operation: 82-74=8
Current State: 43:[91, 6, 8], Operations: ['82-74=8']
Exploring Operation: 6*8=48, Resulting Numbers: [91, 48]
Generated Node #3: [91, 48] from Operation: 6*8=48
Current State: 43:[91, 48], Operations: ['82-74=8', '6*8=48']
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
5,
80,
28,
40
] | 100 | [
"5*28=140",
"80-40=40",
"140-40=100"
] | Current State: 100:[5, 80, 28, 40], Operations: []
Exploring Operation: 5*28=140, Resulting Numbers: [80, 40, 140]
Generated Node #2: [80, 40, 140] from Operation: 5*28=140
Current State: 100:[80, 40, 140], Operations: ['5*28=140']
Exploring Operation: 80-40=40, Resulting Numbers: [140, 40]
Generated Node #3: [140, 40] from Operation: 80-40=40
Current State: 100:[140, 40], Operations: ['5*28=140', '80-40=40']
Exploring Operation: 140-40=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
86,
67,
6,
65
] | 98 | [
"67-65=2",
"6*2=12",
"86+12=98"
] | Current State: 98:[86, 67, 6, 65], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [86, 6, 2]
Generated Node #2: [86, 6, 2] from Operation: 67-65=2
Current State: 98:[86, 6, 2], Operations: ['67-65=2']
Exploring Operation: 6*2=12, Resulting Numbers: [86, 12]
Generated Node #3: [86, 12] from Operation: 6*2=12
Current State: 98:[86, 12], Operations: ['67-65=2', '6*2=12']
Exploring Operation: 86+12=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
36,
30,
9,
42
] | 11 | [
"30+42=72",
"72/36=2",
"9+2=11"
] | Current State: 11:[36, 30, 9, 42], Operations: []
Exploring Operation: 30+42=72, Resulting Numbers: [36, 9, 72]
Generated Node #2: [36, 9, 72] from Operation: 30+42=72
Current State: 11:[36, 9, 72], Operations: ['30+42=72']
Exploring Operation: 72/36=2, Resulting Numbers: [9, 2]
Generated Node #3: [9, 2] from Operation: 72/36=2
Current State: 11:[9, 2], Operations: ['30+42=72', '72/36=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
99,
8,
33,
11
] | 48 | [
"99-33=66",
"8*66=528",
"528/11=48"
] | Current State: 48:[99, 8, 33, 11], Operations: []
Exploring Operation: 99-33=66, Resulting Numbers: [8, 11, 66]
Generated Node #2: [8, 11, 66] from Operation: 99-33=66
Current State: 48:[8, 11, 66], Operations: ['99-33=66']
Exploring Operation: 8*66=528, Resulting Numbers: [11, 528]
Generated Node #3: [11, 528] from Operation: 8*66=528
Current State: 48:[11, 528], Operations: ['99-33=66', '8*66=528']
Exploring Operation: 528/11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
52,
21,
91,
23
] | 41 | [
"52+21=73",
"91+23=114",
"114-73=41"
] | Current State: 41:[52, 21, 91, 23], Operations: []
Exploring Operation: 52+21=73, Resulting Numbers: [91, 23, 73]
Generated Node #2: [91, 23, 73] from Operation: 52+21=73
Current State: 41:[91, 23, 73], Operations: ['52+21=73']
Exploring Operation: 91+23=114, Resulting Numbers: [73, 114]
Generated Node #3: [73, 114] from Operation: 91+23=114
Current State: 41:[73, 114], Operations: ['52+21=73', '91+23=114']
Exploring Operation: 114-73=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
81,
49,
90,
42
] | 81 | [
"90-49=41",
"42-41=1",
"81*1=81"
] | Current State: 81:[81, 49, 90, 42], Operations: []
Exploring Operation: 90-49=41, Resulting Numbers: [81, 42, 41]
Generated Node #2: [81, 42, 41] from Operation: 90-49=41
Current State: 81:[81, 42, 41], Operations: ['90-49=41']
Exploring Operation: 42-41=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 42-41=1
Current State: 81:[81, 1], Operations: ['90-49=41', '42-41=1']
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
2,
80,
89,
5
] | 88 | [
"89-5=84",
"2*84=168",
"168-80=88"
] | Current State: 88:[2, 80, 89, 5], Operations: []
Exploring Operation: 89-5=84, Resulting Numbers: [2, 80, 84]
Generated Node #2: [2, 80, 84] from Operation: 89-5=84
Current State: 88:[2, 80, 84], Operations: ['89-5=84']
Exploring Operation: 2*84=168, Resulting Numbers: [80, 168]
Generated Node #3: [80, 168] from Operation: 2*84=168
Current State: 88:[80, 168], Operations: ['89-5=84', '2*84=168']
Exploring Operation: 168-80=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
49,
28,
46,
20
] | 46 | [
"49-28=21",
"21-20=1",
"46*1=46"
] | Current State: 46:[49, 28, 46, 20], Operations: []
Exploring Operation: 49-28=21, Resulting Numbers: [46, 20, 21]
Generated Node #2: [46, 20, 21] from Operation: 49-28=21
Current State: 46:[46, 20, 21], Operations: ['49-28=21']
Exploring Operation: 21-20=1, Resulting Numbers: [46, 1]
Generated Node #3: [46, 1] from Operation: 21-20=1
Current State: 46:[46, 1], Operations: ['49-28=21', '21-20=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
21,
16,
24,
57
] | 76 | [
"21-16=5",
"24+57=81",
"81-5=76"
] | Current State: 76:[21, 16, 24, 57], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [24, 57, 5]
Generated Node #2: [24, 57, 5] from Operation: 21-16=5
Current State: 76:[24, 57, 5], Operations: ['21-16=5']
Exploring Operation: 24+57=81, Resulting Numbers: [5, 81]
Generated Node #3: [5, 81] from Operation: 24+57=81
Current State: 76:[5, 81], Operations: ['21-16=5', '24+57=81']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
83,
96,
68,
66
] | 24 | [
"83-66=17",
"96*17=1632",
"1632/68=24"
] | Current State: 24:[83, 96, 68, 66], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [96, 68, 17]
Generated Node #2: [96, 68, 17] from Operation: 83-66=17
Current State: 24:[96, 68, 17], Operations: ['83-66=17']
Exploring Operation: 96*17=1632, Resulting Numbers: [68, 1632]
Generated Node #3: [68, 1632] from Operation: 96*17=1632
Current State: 24:[68, 1632], Operations: ['83-66=17', '96*17=1632']
Exploring Operation: 1632/68=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
56,
27,
81,
25
] | 23 | [
"56+27=83",
"81+25=106",
"106-83=23"
] | Current State: 23:[56, 27, 81, 25], Operations: []
Exploring Operation: 56+27=83, Resulting Numbers: [81, 25, 83]
Generated Node #2: [81, 25, 83] from Operation: 56+27=83
Current State: 23:[81, 25, 83], Operations: ['56+27=83']
Exploring Operation: 81+25=106, Resulting Numbers: [83, 106]
Generated Node #3: [83, 106] from Operation: 81+25=106
Current State: 23:[83, 106], Operations: ['56+27=83', '81+25=106']
Exploring Operation: 106-83=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
3,
41,
55,
22
] | 76 | [
"41+22=63",
"63/3=21",
"55+21=76"
] | Current State: 76:[3, 41, 55, 22], Operations: []
Exploring Operation: 41+22=63, Resulting Numbers: [3, 55, 63]
Generated Node #2: [3, 55, 63] from Operation: 41+22=63
Current State: 76:[3, 55, 63], Operations: ['41+22=63']
Exploring Operation: 63/3=21, Resulting Numbers: [55, 21]
Generated Node #3: [55, 21] from Operation: 63/3=21
Current State: 76:[55, 21], Operations: ['41+22=63', '63/3=21']
Exploring Operation: 55+21=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
49,
79,
10,
15
] | 25 | [
"79-49=30",
"15-10=5",
"30-5=25"
] | Current State: 25:[49, 79, 10, 15], Operations: []
Exploring Operation: 79-49=30, Resulting Numbers: [10, 15, 30]
Generated Node #2: [10, 15, 30] from Operation: 79-49=30
Current State: 25:[10, 15, 30], Operations: ['79-49=30']
Exploring Operation: 15-10=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 15-10=5
Current State: 25:[30, 5], Operations: ['79-49=30', '15-10=5']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
30,
57,
74,
69
] | 51 | [
"74-69=5",
"30/5=6",
"57-6=51"
] | Current State: 51:[30, 57, 74, 69], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [30, 57, 5]
Generated Node #2: [30, 57, 5] from Operation: 74-69=5
Current State: 51:[30, 57, 5], Operations: ['74-69=5']
Exploring Operation: 30/5=6, Resulting Numbers: [57, 6]
Generated Node #3: [57, 6] from Operation: 30/5=6
Current State: 51:[57, 6], Operations: ['74-69=5', '30/5=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
84,
54,
41,
86
] | 26 | [
"86-84=2",
"54-41=13",
"2*13=26"
] | Current State: 26:[84, 54, 41, 86], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [54, 41, 2]
Generated Node #2: [54, 41, 2] from Operation: 86-84=2
Current State: 26:[54, 41, 2], Operations: ['86-84=2']
Exploring Operation: 54-41=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 54-41=13
Current State: 26:[2, 13], Operations: ['86-84=2', '54-41=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
15,
89,
86,
38
] | 20 | [
"15+89=104",
"86+38=124",
"124-104=20"
] | Current State: 20:[15, 89, 86, 38], Operations: []
Exploring Operation: 15+89=104, Resulting Numbers: [86, 38, 104]
Generated Node #2: [86, 38, 104] from Operation: 15+89=104
Current State: 20:[86, 38, 104], Operations: ['15+89=104']
Exploring Operation: 86+38=124, Resulting Numbers: [104, 124]
Generated Node #3: [104, 124] from Operation: 86+38=124
Current State: 20:[104, 124], Operations: ['15+89=104', '86+38=124']
Exploring Operation: 124-104=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
28,
4,
14,
38
] | 45 | [
"28/4=7",
"14+38=52",
"52-7=45"
] | Current State: 45:[28, 4, 14, 38], Operations: []
Exploring Operation: 28/4=7, Resulting Numbers: [14, 38, 7]
Generated Node #2: [14, 38, 7] from Operation: 28/4=7
Current State: 45:[14, 38, 7], Operations: ['28/4=7']
Exploring Operation: 14+38=52, Resulting Numbers: [7, 52]
Generated Node #3: [7, 52] from Operation: 14+38=52
Current State: 45:[7, 52], Operations: ['28/4=7', '14+38=52']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
37,
59,
27,
57
] | 32 | [
"37+27=64",
"59-57=2",
"64/2=32"
] | Current State: 32:[37, 59, 27, 57], Operations: []
Exploring Operation: 37+27=64, Resulting Numbers: [59, 57, 64]
Generated Node #2: [59, 57, 64] from Operation: 37+27=64
Current State: 32:[59, 57, 64], Operations: ['37+27=64']
Exploring Operation: 59-57=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 59-57=2
Current State: 32:[64, 2], Operations: ['37+27=64', '59-57=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
63,
11,
1,
3
] | 99 | [
"11+1=12",
"3*12=36",
"63+36=99"
] | Current State: 99:[63, 11, 1, 3], Operations: []
Exploring Operation: 11+1=12, Resulting Numbers: [63, 3, 12]
Generated Node #2: [63, 3, 12] from Operation: 11+1=12
Current State: 99:[63, 3, 12], Operations: ['11+1=12']
Exploring Operation: 3*12=36, Resulting Numbers: [63, 36]
Generated Node #3: [63, 36] from Operation: 3*12=36
Current State: 99:[63, 36], Operations: ['11+1=12', '3*12=36']
Exploring Operation: 63+36=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
27,
53,
84,
42
] | 40 | [
"27+53=80",
"84/42=2",
"80/2=40"
] | Current State: 40:[27, 53, 84, 42], Operations: []
Exploring Operation: 27+53=80, Resulting Numbers: [84, 42, 80]
Generated Node #2: [84, 42, 80] from Operation: 27+53=80
Current State: 40:[84, 42, 80], Operations: ['27+53=80']
Exploring Operation: 84/42=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 84/42=2
Current State: 40:[80, 2], Operations: ['27+53=80', '84/42=2']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
7,
25,
64,
35
] | 34 | [
"35/7=5",
"64-25=39",
"39-5=34"
] | Current State: 34:[7, 25, 64, 35], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [25, 64, 5]
Generated Node #2: [25, 64, 5] from Operation: 35/7=5
Current State: 34:[25, 64, 5], Operations: ['35/7=5']
Exploring Operation: 64-25=39, Resulting Numbers: [5, 39]
Generated Node #3: [5, 39] from Operation: 64-25=39
Current State: 34:[5, 39], Operations: ['35/7=5', '64-25=39']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
13,
29,
64,
59
] | 81 | [
"13+29=42",
"64+59=123",
"123-42=81"
] | Current State: 81:[13, 29, 64, 59], Operations: []
Exploring Operation: 13+29=42, Resulting Numbers: [64, 59, 42]
Generated Node #2: [64, 59, 42] from Operation: 13+29=42
Current State: 81:[64, 59, 42], Operations: ['13+29=42']
Exploring Operation: 64+59=123, Resulting Numbers: [42, 123]
Generated Node #3: [42, 123] from Operation: 64+59=123
Current State: 81:[42, 123], Operations: ['13+29=42', '64+59=123']
Exploring Operation: 123-42=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
73,
4,
23,
95
] | 68 | [
"23-4=19",
"95/19=5",
"73-5=68"
] | Current State: 68:[73, 4, 23, 95], Operations: []
Exploring Operation: 23-4=19, Resulting Numbers: [73, 95, 19]
Generated Node #2: [73, 95, 19] from Operation: 23-4=19
Current State: 68:[73, 95, 19], Operations: ['23-4=19']
Exploring Operation: 95/19=5, Resulting Numbers: [73, 5]
Generated Node #3: [73, 5] from Operation: 95/19=5
Current State: 68:[73, 5], Operations: ['23-4=19', '95/19=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
26,
90,
70,
91
] | 95 | [
"26+90=116",
"91-70=21",
"116-21=95"
] | Current State: 95:[26, 90, 70, 91], Operations: []
Exploring Operation: 26+90=116, Resulting Numbers: [70, 91, 116]
Generated Node #2: [70, 91, 116] from Operation: 26+90=116
Current State: 95:[70, 91, 116], Operations: ['26+90=116']
Exploring Operation: 91-70=21, Resulting Numbers: [116, 21]
Generated Node #3: [116, 21] from Operation: 91-70=21
Current State: 95:[116, 21], Operations: ['26+90=116', '91-70=21']
Exploring Operation: 116-21=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
32,
91,
83,
87
] | 99 | [
"87-83=4",
"32/4=8",
"91+8=99"
] | Current State: 99:[32, 91, 83, 87], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [32, 91, 4]
Generated Node #2: [32, 91, 4] from Operation: 87-83=4
Current State: 99:[32, 91, 4], Operations: ['87-83=4']
Exploring Operation: 32/4=8, Resulting Numbers: [91, 8]
Generated Node #3: [91, 8] from Operation: 32/4=8
Current State: 99:[91, 8], Operations: ['87-83=4', '32/4=8']
Exploring Operation: 91+8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
43,
36,
35,
51
] | 46 | [
"43-36=7",
"35/7=5",
"51-5=46"
] | Current State: 46:[43, 36, 35, 51], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [35, 51, 7]
Generated Node #2: [35, 51, 7] from Operation: 43-36=7
Current State: 46:[35, 51, 7], Operations: ['43-36=7']
Exploring Operation: 35/7=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 35/7=5
Current State: 46:[51, 5], Operations: ['43-36=7', '35/7=5']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
5,
94,
95,
57
] | 18 | [
"95/5=19",
"94-57=37",
"37-19=18"
] | Current State: 18:[5, 94, 95, 57], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [94, 57, 19]
Generated Node #2: [94, 57, 19] from Operation: 95/5=19
Current State: 18:[94, 57, 19], Operations: ['95/5=19']
Exploring Operation: 94-57=37, Resulting Numbers: [19, 37]
Generated Node #3: [19, 37] from Operation: 94-57=37
Current State: 18:[19, 37], Operations: ['95/5=19', '94-57=37']
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
37,
93,
6,
16
] | 13 | [
"37+93=130",
"16-6=10",
"130/10=13"
] | Current State: 13:[37, 93, 6, 16], Operations: []
Exploring Operation: 37+93=130, Resulting Numbers: [6, 16, 130]
Generated Node #2: [6, 16, 130] from Operation: 37+93=130
Current State: 13:[6, 16, 130], Operations: ['37+93=130']
Exploring Operation: 16-6=10, Resulting Numbers: [130, 10]
Generated Node #3: [130, 10] from Operation: 16-6=10
Current State: 13:[130, 10], Operations: ['37+93=130', '16-6=10']
Exploring Operation: 130/10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
66,
80,
57,
10
] | 83 | [
"80-66=14",
"10*14=140",
"140-57=83"
] | Current State: 83:[66, 80, 57, 10], Operations: []
Exploring Operation: 80-66=14, Resulting Numbers: [57, 10, 14]
Generated Node #2: [57, 10, 14] from Operation: 80-66=14
Current State: 83:[57, 10, 14], Operations: ['80-66=14']
Exploring Operation: 10*14=140, Resulting Numbers: [57, 140]
Generated Node #3: [57, 140] from Operation: 10*14=140
Current State: 83:[57, 140], Operations: ['80-66=14', '10*14=140']
Exploring Operation: 140-57=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
76,
22,
83,
19
] | 53 | [
"76+83=159",
"22-19=3",
"159/3=53"
] | Current State: 53:[76, 22, 83, 19], Operations: []
Exploring Operation: 76+83=159, Resulting Numbers: [22, 19, 159]
Generated Node #2: [22, 19, 159] from Operation: 76+83=159
Current State: 53:[22, 19, 159], Operations: ['76+83=159']
Exploring Operation: 22-19=3, Resulting Numbers: [159, 3]
Generated Node #3: [159, 3] from Operation: 22-19=3
Current State: 53:[159, 3], Operations: ['76+83=159', '22-19=3']
Exploring Operation: 159/3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
4,
79,
41,
9
] | 33 | [
"4+79=83",
"41+9=50",
"83-50=33"
] | Current State: 33:[4, 79, 41, 9], Operations: []
Exploring Operation: 4+79=83, Resulting Numbers: [41, 9, 83]
Generated Node #2: [41, 9, 83] from Operation: 4+79=83
Current State: 33:[41, 9, 83], Operations: ['4+79=83']
Exploring Operation: 41+9=50, Resulting Numbers: [83, 50]
Generated Node #3: [83, 50] from Operation: 41+9=50
Current State: 33:[83, 50], Operations: ['4+79=83', '41+9=50']
Exploring Operation: 83-50=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
14,
2,
74,
74
] | 97 | [
"74-14=60",
"74/2=37",
"60+37=97"
] | Current State: 97:[14, 2, 74, 74], Operations: []
Exploring Operation: 74-14=60, Resulting Numbers: [2, 60]
Generated Node #2: [2, 60] from Operation: 74-14=60
Current State: 97:[2, 60], Operations: ['74-14=60']
Exploring Operation: 74/2=37, Resulting Numbers: [60, 37]
Generated Node #3: [60, 37] from Operation: 74/2=37
Current State: 97:[60, 37], Operations: ['74-14=60', '74/2=37']
Exploring Operation: 60+37=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
8,
44,
6,
53
] | 35 | [
"8-6=2",
"44*2=88",
"88-53=35"
] | Current State: 35:[8, 44, 6, 53], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [44, 53, 2]
Generated Node #2: [44, 53, 2] from Operation: 8-6=2
Current State: 35:[44, 53, 2], Operations: ['8-6=2']
Exploring Operation: 44*2=88, Resulting Numbers: [53, 88]
Generated Node #3: [53, 88] from Operation: 44*2=88
Current State: 35:[53, 88], Operations: ['8-6=2', '44*2=88']
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
35,
59,
73,
3
] | 69 | [
"35+73=108",
"59*3=177",
"177-108=69"
] | Current State: 69:[35, 59, 73, 3], Operations: []
Exploring Operation: 35+73=108, Resulting Numbers: [59, 3, 108]
Generated Node #2: [59, 3, 108] from Operation: 35+73=108
Current State: 69:[59, 3, 108], Operations: ['35+73=108']
Exploring Operation: 59*3=177, Resulting Numbers: [108, 177]
Generated Node #3: [108, 177] from Operation: 59*3=177
Current State: 69:[108, 177], Operations: ['35+73=108', '59*3=177']
Exploring Operation: 177-108=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
74,
40,
31,
30
] | 34 | [
"74-40=34",
"31-30=1",
"34*1=34"
] | Current State: 34:[74, 40, 31, 30], Operations: []
Exploring Operation: 74-40=34, Resulting Numbers: [31, 30, 34]
Generated Node #2: [31, 30, 34] from Operation: 74-40=34
Current State: 34:[31, 30, 34], Operations: ['74-40=34']
Exploring Operation: 31-30=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 31-30=1
Current State: 34:[34, 1], Operations: ['74-40=34', '31-30=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
70,
98,
94,
35
] | 96 | [
"70/35=2",
"98+94=192",
"192/2=96"
] | Current State: 96:[70, 98, 94, 35], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [98, 94, 2]
Generated Node #2: [98, 94, 2] from Operation: 70/35=2
Current State: 96:[98, 94, 2], Operations: ['70/35=2']
Exploring Operation: 98+94=192, Resulting Numbers: [2, 192]
Generated Node #3: [2, 192] from Operation: 98+94=192
Current State: 96:[2, 192], Operations: ['70/35=2', '98+94=192']
Exploring Operation: 192/2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
58,
31,
3,
46
] | 22 | [
"58-31=27",
"3+46=49",
"49-27=22"
] | Current State: 22:[58, 31, 3, 46], Operations: []
Exploring Operation: 58-31=27, Resulting Numbers: [3, 46, 27]
Generated Node #2: [3, 46, 27] from Operation: 58-31=27
Current State: 22:[3, 46, 27], Operations: ['58-31=27']
Exploring Operation: 3+46=49, Resulting Numbers: [27, 49]
Generated Node #3: [27, 49] from Operation: 3+46=49
Current State: 22:[27, 49], Operations: ['58-31=27', '3+46=49']
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
16,
50,
31,
78
] | 75 | [
"50-16=34",
"31+78=109",
"109-34=75"
] | Current State: 75:[16, 50, 31, 78], Operations: []
Exploring Operation: 50-16=34, Resulting Numbers: [31, 78, 34]
Generated Node #2: [31, 78, 34] from Operation: 50-16=34
Current State: 75:[31, 78, 34], Operations: ['50-16=34']
Exploring Operation: 31+78=109, Resulting Numbers: [34, 109]
Generated Node #3: [34, 109] from Operation: 31+78=109
Current State: 75:[34, 109], Operations: ['50-16=34', '31+78=109']
Exploring Operation: 109-34=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
43,
62,
32,
15
] | 86 | [
"62-32=30",
"43*30=1290",
"1290/15=86"
] | Current State: 86:[43, 62, 32, 15], Operations: []
Exploring Operation: 62-32=30, Resulting Numbers: [43, 15, 30]
Generated Node #2: [43, 15, 30] from Operation: 62-32=30
Current State: 86:[43, 15, 30], Operations: ['62-32=30']
Exploring Operation: 43*30=1290, Resulting Numbers: [15, 1290]
Generated Node #3: [15, 1290] from Operation: 43*30=1290
Current State: 86:[15, 1290], Operations: ['62-32=30', '43*30=1290']
Exploring Operation: 1290/15=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
91,
70,
74,
26
] | 69 | [
"91-70=21",
"74-26=48",
"21+48=69"
] | Current State: 69:[91, 70, 74, 26], Operations: []
Exploring Operation: 91-70=21, Resulting Numbers: [74, 26, 21]
Generated Node #2: [74, 26, 21] from Operation: 91-70=21
Current State: 69:[74, 26, 21], Operations: ['91-70=21']
Exploring Operation: 74-26=48, Resulting Numbers: [21, 48]
Generated Node #3: [21, 48] from Operation: 74-26=48
Current State: 69:[21, 48], Operations: ['91-70=21', '74-26=48']
Exploring Operation: 21+48=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
21,
79,
79,
42
] | 42 | [
"79-79=0",
"21*0=0",
"42+0=42"
] | Current State: 42:[21, 79, 79, 42], Operations: []
Exploring Operation: 79-79=0, Resulting Numbers: [21, 42, 0]
Generated Node #2: [21, 42, 0] from Operation: 79-79=0
Current State: 42:[21, 42, 0], Operations: ['79-79=0']
Exploring Operation: 21*0=0, Resulting Numbers: [42, 0]
Generated Node #3: [42, 0] from Operation: 21*0=0
Current State: 42:[42, 0], Operations: ['79-79=0', '21*0=0']
Exploring Operation: 42+0=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
94,
36,
46,
47
] | 59 | [
"94-36=58",
"47-46=1",
"58+1=59"
] | Current State: 59:[94, 36, 46, 47], Operations: []
Exploring Operation: 94-36=58, Resulting Numbers: [46, 47, 58]
Generated Node #2: [46, 47, 58] from Operation: 94-36=58
Current State: 59:[46, 47, 58], Operations: ['94-36=58']
Exploring Operation: 47-46=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 47-46=1
Current State: 59:[58, 1], Operations: ['94-36=58', '47-46=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
26,
11,
41,
99
] | 95 | [
"26+11=37",
"99-41=58",
"37+58=95"
] | Current State: 95:[26, 11, 41, 99], Operations: []
Exploring Operation: 26+11=37, Resulting Numbers: [41, 99, 37]
Generated Node #2: [41, 99, 37] from Operation: 26+11=37
Current State: 95:[41, 99, 37], Operations: ['26+11=37']
Exploring Operation: 99-41=58, Resulting Numbers: [37, 58]
Generated Node #3: [37, 58] from Operation: 99-41=58
Current State: 95:[37, 58], Operations: ['26+11=37', '99-41=58']
Exploring Operation: 37+58=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
97,
73,
2,
19
] | 83 | [
"97-19=78",
"2*78=156",
"156-73=83"
] | Current State: 83:[97, 73, 2, 19], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [73, 2, 78]
Generated Node #2: [73, 2, 78] from Operation: 97-19=78
Current State: 83:[73, 2, 78], Operations: ['97-19=78']
Exploring Operation: 2*78=156, Resulting Numbers: [73, 156]
Generated Node #3: [73, 156] from Operation: 2*78=156
Current State: 83:[73, 156], Operations: ['97-19=78', '2*78=156']
Exploring Operation: 156-73=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
24,
30,
65,
6
] | 37 | [
"30/6=5",
"65/5=13",
"24+13=37"
] | Current State: 37:[24, 30, 65, 6], Operations: []
Exploring Operation: 30/6=5, Resulting Numbers: [24, 65, 5]
Generated Node #2: [24, 65, 5] from Operation: 30/6=5
Current State: 37:[24, 65, 5], Operations: ['30/6=5']
Exploring Operation: 65/5=13, Resulting Numbers: [24, 13]
Generated Node #3: [24, 13] from Operation: 65/5=13
Current State: 37:[24, 13], Operations: ['30/6=5', '65/5=13']
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
44,
40,
61,
72
] | 44 | [
"44-40=4",
"72-61=11",
"4*11=44"
] | Current State: 44:[44, 40, 61, 72], Operations: []
Exploring Operation: 44-40=4, Resulting Numbers: [61, 72, 4]
Generated Node #2: [61, 72, 4] from Operation: 44-40=4
Current State: 44:[61, 72, 4], Operations: ['44-40=4']
Exploring Operation: 72-61=11, Resulting Numbers: [4, 11]
Generated Node #3: [4, 11] from Operation: 72-61=11
Current State: 44:[4, 11], Operations: ['44-40=4', '72-61=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
46,
34,
46,
78
] | 78 | [
"46-46=0",
"34*0=0",
"78+0=78"
] | Current State: 78:[46, 34, 46, 78], Operations: []
Exploring Operation: 46-46=0, Resulting Numbers: [34, 78, 0]
Generated Node #2: [34, 78, 0] from Operation: 46-46=0
Current State: 78:[34, 78, 0], Operations: ['46-46=0']
Exploring Operation: 34*0=0, Resulting Numbers: [78, 0]
Generated Node #3: [78, 0] from Operation: 34*0=0
Current State: 78:[78, 0], Operations: ['46-46=0', '34*0=0']
Exploring Operation: 78+0=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
81,
74,
61,
87
] | 78 | [
"87-81=6",
"74-61=13",
"6*13=78"
] | Current State: 78:[81, 74, 61, 87], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [74, 61, 6]
Generated Node #2: [74, 61, 6] from Operation: 87-81=6
Current State: 78:[74, 61, 6], Operations: ['87-81=6']
Exploring Operation: 74-61=13, Resulting Numbers: [6, 13]
Generated Node #3: [6, 13] from Operation: 74-61=13
Current State: 78:[6, 13], Operations: ['87-81=6', '74-61=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
91,
75,
57,
18
] | 59 | [
"91-75=16",
"57+18=75",
"75-16=59"
] | Current State: 59:[91, 75, 57, 18], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [57, 18, 16]
Generated Node #2: [57, 18, 16] from Operation: 91-75=16
Current State: 59:[57, 18, 16], Operations: ['91-75=16']
Exploring Operation: 57+18=75, Resulting Numbers: [16, 75]
Generated Node #3: [16, 75] from Operation: 57+18=75
Current State: 59:[16, 75], Operations: ['91-75=16', '57+18=75']
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
2,
13,
50,
18
] | 43 | [
"13-2=11",
"50-18=32",
"11+32=43"
] | Current State: 43:[2, 13, 50, 18], Operations: []
Exploring Operation: 13-2=11, Resulting Numbers: [50, 18, 11]
Generated Node #2: [50, 18, 11] from Operation: 13-2=11
Current State: 43:[50, 18, 11], Operations: ['13-2=11']
Exploring Operation: 50-18=32, Resulting Numbers: [11, 32]
Generated Node #3: [11, 32] from Operation: 50-18=32
Current State: 43:[11, 32], Operations: ['13-2=11', '50-18=32']
Exploring Operation: 11+32=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
13,
80,
97,
80
] | 83 | [
"97-13=84",
"80/80=1",
"84-1=83"
] | Current State: 83:[13, 80, 97, 80], Operations: []
Exploring Operation: 97-13=84, Resulting Numbers: [80, 80, 84]
Generated Node #2: [80, 80, 84] from Operation: 97-13=84
Current State: 83:[80, 80, 84], Operations: ['97-13=84']
Exploring Operation: 80/80=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 80/80=1
Current State: 83:[84, 1], Operations: ['97-13=84', '80/80=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
40,
92,
10,
37
] | 56 | [
"40/10=4",
"37*4=148",
"148-92=56"
] | Current State: 56:[40, 92, 10, 37], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [92, 37, 4]
Generated Node #2: [92, 37, 4] from Operation: 40/10=4
Current State: 56:[92, 37, 4], Operations: ['40/10=4']
Exploring Operation: 37*4=148, Resulting Numbers: [92, 148]
Generated Node #3: [92, 148] from Operation: 37*4=148
Current State: 56:[92, 148], Operations: ['40/10=4', '37*4=148']
Exploring Operation: 148-92=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
45,
25,
52,
37
] | 55 | [
"45+25=70",
"52-37=15",
"70-15=55"
] | Current State: 55:[45, 25, 52, 37], Operations: []
Exploring Operation: 45+25=70, Resulting Numbers: [52, 37, 70]
Generated Node #2: [52, 37, 70] from Operation: 45+25=70
Current State: 55:[52, 37, 70], Operations: ['45+25=70']
Exploring Operation: 52-37=15, Resulting Numbers: [70, 15]
Generated Node #3: [70, 15] from Operation: 52-37=15
Current State: 55:[70, 15], Operations: ['45+25=70', '52-37=15']
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
23,
15,
54,
80
] | 34 | [
"23-15=8",
"80-54=26",
"8+26=34"
] | Current State: 34:[23, 15, 54, 80], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [54, 80, 8]
Generated Node #2: [54, 80, 8] from Operation: 23-15=8
Current State: 34:[54, 80, 8], Operations: ['23-15=8']
Exploring Operation: 80-54=26, Resulting Numbers: [8, 26]
Generated Node #3: [8, 26] from Operation: 80-54=26
Current State: 34:[8, 26], Operations: ['23-15=8', '80-54=26']
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
69,
60,
3,
66
] | 60 | [
"69+60=129",
"3+66=69",
"129-69=60"
] | Current State: 60:[69, 60, 3, 66], Operations: []
Exploring Operation: 69+60=129, Resulting Numbers: [3, 66, 129]
Generated Node #2: [3, 66, 129] from Operation: 69+60=129
Current State: 60:[3, 66, 129], Operations: ['69+60=129']
Exploring Operation: 3+66=69, Resulting Numbers: [129, 69]
Generated Node #3: [129, 69] from Operation: 3+66=69
Current State: 60:[129, 69], Operations: ['69+60=129', '3+66=69']
Exploring Operation: 129-69=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
5,
61,
59,
85
] | 45 | [
"5+85=90",
"61-59=2",
"90/2=45"
] | Current State: 45:[5, 61, 59, 85], Operations: []
Exploring Operation: 5+85=90, Resulting Numbers: [61, 59, 90]
Generated Node #2: [61, 59, 90] from Operation: 5+85=90
Current State: 45:[61, 59, 90], Operations: ['5+85=90']
Exploring Operation: 61-59=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 61-59=2
Current State: 45:[90, 2], Operations: ['5+85=90', '61-59=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
52,
31,
99,
3
] | 92 | [
"52-31=21",
"21/3=7",
"99-7=92"
] | Current State: 92:[52, 31, 99, 3], Operations: []
Exploring Operation: 52-31=21, Resulting Numbers: [99, 3, 21]
Generated Node #2: [99, 3, 21] from Operation: 52-31=21
Current State: 92:[99, 3, 21], Operations: ['52-31=21']
Exploring Operation: 21/3=7, Resulting Numbers: [99, 7]
Generated Node #3: [99, 7] from Operation: 21/3=7
Current State: 92:[99, 7], Operations: ['52-31=21', '21/3=7']
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
1,
72,
24,
26
] | 64 | [
"1+26=27",
"72*24=1728",
"1728/27=64"
] | Current State: 64:[1, 72, 24, 26], Operations: []
Exploring Operation: 1+26=27, Resulting Numbers: [72, 24, 27]
Generated Node #2: [72, 24, 27] from Operation: 1+26=27
Current State: 64:[72, 24, 27], Operations: ['1+26=27']
Exploring Operation: 72*24=1728, Resulting Numbers: [27, 1728]
Generated Node #3: [27, 1728] from Operation: 72*24=1728
Current State: 64:[27, 1728], Operations: ['1+26=27', '72*24=1728']
Exploring Operation: 1728/27=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
12,
23,
93,
97
] | 15 | [
"23-12=11",
"97-93=4",
"11+4=15"
] | Current State: 15:[12, 23, 93, 97], Operations: []
Exploring Operation: 23-12=11, Resulting Numbers: [93, 97, 11]
Generated Node #2: [93, 97, 11] from Operation: 23-12=11
Current State: 15:[93, 97, 11], Operations: ['23-12=11']
Exploring Operation: 97-93=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 97-93=4
Current State: 15:[11, 4], Operations: ['23-12=11', '97-93=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
67,
66,
3,
18
] | 21 | [
"67-66=1",
"3+18=21",
"1*21=21"
] | Current State: 21:[67, 66, 3, 18], Operations: []
Exploring Operation: 67-66=1, Resulting Numbers: [3, 18, 1]
Generated Node #2: [3, 18, 1] from Operation: 67-66=1
Current State: 21:[3, 18, 1], Operations: ['67-66=1']
Exploring Operation: 3+18=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 3+18=21
Current State: 21:[1, 21], Operations: ['67-66=1', '3+18=21']
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
62,
4,
45,
4
] | 52 | [
"62-4=58",
"58-45=13",
"4*13=52"
] | Current State: 52:[62, 4, 45, 4], Operations: []
Exploring Operation: 62-4=58, Resulting Numbers: [45, 58]
Generated Node #2: [45, 58] from Operation: 62-4=58
Current State: 52:[45, 58], Operations: ['62-4=58']
Exploring Operation: 58-45=13, Resulting Numbers: [13]
13,52 equal: Goal Reached
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
13,
69,
22,
80
] | 44 | [
"13+69=82",
"82-80=2",
"22*2=44"
] | Current State: 44:[13, 69, 22, 80], Operations: []
Exploring Operation: 13+69=82, Resulting Numbers: [22, 80, 82]
Generated Node #2: [22, 80, 82] from Operation: 13+69=82
Current State: 44:[22, 80, 82], Operations: ['13+69=82']
Exploring Operation: 82-80=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 82-80=2
Current State: 44:[22, 2], Operations: ['13+69=82', '82-80=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
19,
7,
43,
87
] | 70 | [
"19+7=26",
"87-43=44",
"26+44=70"
] | Current State: 70:[19, 7, 43, 87], Operations: []
Exploring Operation: 19+7=26, Resulting Numbers: [43, 87, 26]
Generated Node #2: [43, 87, 26] from Operation: 19+7=26
Current State: 70:[43, 87, 26], Operations: ['19+7=26']
Exploring Operation: 87-43=44, Resulting Numbers: [26, 44]
Generated Node #3: [26, 44] from Operation: 87-43=44
Current State: 70:[26, 44], Operations: ['19+7=26', '87-43=44']
Exploring Operation: 26+44=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
99,
46,
78,
2
] | 37 | [
"46+78=124",
"124/2=62",
"99-62=37"
] | Current State: 37:[99, 46, 78, 2], Operations: []
Exploring Operation: 46+78=124, Resulting Numbers: [99, 2, 124]
Generated Node #2: [99, 2, 124] from Operation: 46+78=124
Current State: 37:[99, 2, 124], Operations: ['46+78=124']
Exploring Operation: 124/2=62, Resulting Numbers: [99, 62]
Generated Node #3: [99, 62] from Operation: 124/2=62
Current State: 37:[99, 62], Operations: ['46+78=124', '124/2=62']
Exploring Operation: 99-62=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
6,
44,
65,
45
] | 59 | [
"65-6=59",
"45-44=1",
"59*1=59"
] | Current State: 59:[6, 44, 65, 45], Operations: []
Exploring Operation: 65-6=59, Resulting Numbers: [44, 45, 59]
Generated Node #2: [44, 45, 59] from Operation: 65-6=59
Current State: 59:[44, 45, 59], Operations: ['65-6=59']
Exploring Operation: 45-44=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 45-44=1
Current State: 59:[59, 1], Operations: ['65-6=59', '45-44=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
15,
38,
45,
26
] | 77 | [
"26-15=11",
"45-38=7",
"11*7=77"
] | Current State: 77:[15, 38, 45, 26], Operations: []
Exploring Operation: 26-15=11, Resulting Numbers: [38, 45, 11]
Generated Node #2: [38, 45, 11] from Operation: 26-15=11
Current State: 77:[38, 45, 11], Operations: ['26-15=11']
Exploring Operation: 45-38=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 45-38=7
Current State: 77:[11, 7], Operations: ['26-15=11', '45-38=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
54,
66,
59,
6
] | 53 | [
"66-54=12",
"59+6=65",
"65-12=53"
] | Current State: 53:[54, 66, 59, 6], Operations: []
Exploring Operation: 66-54=12, Resulting Numbers: [59, 6, 12]
Generated Node #2: [59, 6, 12] from Operation: 66-54=12
Current State: 53:[59, 6, 12], Operations: ['66-54=12']
Exploring Operation: 59+6=65, Resulting Numbers: [12, 65]
Generated Node #3: [12, 65] from Operation: 59+6=65
Current State: 53:[12, 65], Operations: ['66-54=12', '59+6=65']
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
20,
67,
5,
17
] | 52 | [
"20-17=3",
"5*3=15",
"67-15=52"
] | Current State: 52:[20, 67, 5, 17], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [67, 5, 3]
Generated Node #2: [67, 5, 3] from Operation: 20-17=3
Current State: 52:[67, 5, 3], Operations: ['20-17=3']
Exploring Operation: 5*3=15, Resulting Numbers: [67, 15]
Generated Node #3: [67, 15] from Operation: 5*3=15
Current State: 52:[67, 15], Operations: ['20-17=3', '5*3=15']
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
49,
36,
59,
7
] | 16 | [
"49/7=7",
"59-36=23",
"23-7=16"
] | Current State: 16:[49, 36, 59, 7], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [36, 59, 7]
Generated Node #2: [36, 59, 7] from Operation: 49/7=7
Current State: 16:[36, 59, 7], Operations: ['49/7=7']
Exploring Operation: 59-36=23, Resulting Numbers: [7, 23]
Generated Node #3: [7, 23] from Operation: 59-36=23
Current State: 16:[7, 23], Operations: ['49/7=7', '59-36=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
43,
9,
44,
38
] | 53 | [
"43+38=81",
"81/9=9",
"44+9=53"
] | Current State: 53:[43, 9, 44, 38], Operations: []
Exploring Operation: 43+38=81, Resulting Numbers: [9, 44, 81]
Generated Node #2: [9, 44, 81] from Operation: 43+38=81
Current State: 53:[9, 44, 81], Operations: ['43+38=81']
Exploring Operation: 81/9=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 81/9=9
Current State: 53:[44, 9], Operations: ['43+38=81', '81/9=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
32,
28,
16,
69
] | 43 | [
"32/16=2",
"69-28=41",
"2+41=43"
] | Current State: 43:[32, 28, 16, 69], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [28, 69, 2]
Generated Node #2: [28, 69, 2] from Operation: 32/16=2
Current State: 43:[28, 69, 2], Operations: ['32/16=2']
Exploring Operation: 69-28=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 69-28=41
Current State: 43:[2, 41], Operations: ['32/16=2', '69-28=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
8,
5,
6,
26
] | 17 | [
"8-5=3",
"26-6=20",
"20-3=17"
] | Current State: 17:[8, 5, 6, 26], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [6, 26, 3]
Generated Node #2: [6, 26, 3] from Operation: 8-5=3
Current State: 17:[6, 26, 3], Operations: ['8-5=3']
Exploring Operation: 26-6=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 26-6=20
Current State: 17:[3, 20], Operations: ['8-5=3', '26-6=20']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
56,
70,
80,
17
] | 62 | [
"56+80=136",
"136/17=8",
"70-8=62"
] | Current State: 62:[56, 70, 80, 17], Operations: []
Exploring Operation: 56+80=136, Resulting Numbers: [70, 17, 136]
Generated Node #2: [70, 17, 136] from Operation: 56+80=136
Current State: 62:[70, 17, 136], Operations: ['56+80=136']
Exploring Operation: 136/17=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 136/17=8
Current State: 62:[70, 8], Operations: ['56+80=136', '136/17=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
86,
42,
28,
2
] | 100 | [
"86-42=44",
"28*2=56",
"44+56=100"
] | Current State: 100:[86, 42, 28, 2], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [28, 2, 44]
Generated Node #2: [28, 2, 44] from Operation: 86-42=44
Current State: 100:[28, 2, 44], Operations: ['86-42=44']
Exploring Operation: 28*2=56, Resulting Numbers: [44, 56]
Generated Node #3: [44, 56] from Operation: 28*2=56
Current State: 100:[44, 56], Operations: ['86-42=44', '28*2=56']
Exploring Operation: 44+56=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
72,
94,
66,
97
] | 42 | [
"97-94=3",
"72/3=24",
"66-24=42"
] | Current State: 42:[72, 94, 66, 97], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [72, 66, 3]
Generated Node #2: [72, 66, 3] from Operation: 97-94=3
Current State: 42:[72, 66, 3], Operations: ['97-94=3']
Exploring Operation: 72/3=24, Resulting Numbers: [66, 24]
Generated Node #3: [66, 24] from Operation: 72/3=24
Current State: 42:[66, 24], Operations: ['97-94=3', '72/3=24']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
72,
50,
9,
23
] | 90 | [
"72+50=122",
"9+23=32",
"122-32=90"
] | Current State: 90:[72, 50, 9, 23], Operations: []
Exploring Operation: 72+50=122, Resulting Numbers: [9, 23, 122]
Generated Node #2: [9, 23, 122] from Operation: 72+50=122
Current State: 90:[9, 23, 122], Operations: ['72+50=122']
Exploring Operation: 9+23=32, Resulting Numbers: [122, 32]
Generated Node #3: [122, 32] from Operation: 9+23=32
Current State: 90:[122, 32], Operations: ['72+50=122', '9+23=32']
Exploring Operation: 122-32=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
19,
35,
4,
12
] | 73 | [
"35-12=23",
"4*23=92",
"92-19=73"
] | Current State: 73:[19, 35, 4, 12], Operations: []
Exploring Operation: 35-12=23, Resulting Numbers: [19, 4, 23]
Generated Node #2: [19, 4, 23] from Operation: 35-12=23
Current State: 73:[19, 4, 23], Operations: ['35-12=23']
Exploring Operation: 4*23=92, Resulting Numbers: [19, 92]
Generated Node #3: [19, 92] from Operation: 4*23=92
Current State: 73:[19, 92], Operations: ['35-12=23', '4*23=92']
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
25,
27,
29,
67
] | 36 | [
"27-25=2",
"67-29=38",
"38-2=36"
] | Current State: 36:[25, 27, 29, 67], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [29, 67, 2]
Generated Node #2: [29, 67, 2] from Operation: 27-25=2
Current State: 36:[29, 67, 2], Operations: ['27-25=2']
Exploring Operation: 67-29=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 67-29=38
Current State: 36:[2, 38], Operations: ['27-25=2', '67-29=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
43,
90,
16,
87
] | 56 | [
"90-43=47",
"16+87=103",
"103-47=56"
] | Current State: 56:[43, 90, 16, 87], Operations: []
Exploring Operation: 90-43=47, Resulting Numbers: [16, 87, 47]
Generated Node #2: [16, 87, 47] from Operation: 90-43=47
Current State: 56:[16, 87, 47], Operations: ['90-43=47']
Exploring Operation: 16+87=103, Resulting Numbers: [47, 103]
Generated Node #3: [47, 103] from Operation: 16+87=103
Current State: 56:[47, 103], Operations: ['90-43=47', '16+87=103']
Exploring Operation: 103-47=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
84,
87,
4,
47
] | 40 | [
"87-84=3",
"47-4=43",
"43-3=40"
] | Current State: 40:[84, 87, 4, 47], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [4, 47, 3]
Generated Node #2: [4, 47, 3] from Operation: 87-84=3
Current State: 40:[4, 47, 3], Operations: ['87-84=3']
Exploring Operation: 47-4=43, Resulting Numbers: [3, 43]
Generated Node #3: [3, 43] from Operation: 47-4=43
Current State: 40:[3, 43], Operations: ['87-84=3', '47-4=43']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
72,
63,
40,
42
] | 81 | [
"42-40=2",
"72*2=144",
"144-63=81"
] | Current State: 81:[72, 63, 40, 42], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [72, 63, 2]
Generated Node #2: [72, 63, 2] from Operation: 42-40=2
Current State: 81:[72, 63, 2], Operations: ['42-40=2']
Exploring Operation: 72*2=144, Resulting Numbers: [63, 144]
Generated Node #3: [63, 144] from Operation: 72*2=144
Current State: 81:[63, 144], Operations: ['42-40=2', '72*2=144']
Exploring Operation: 144-63=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
96,
78,
73,
90
] | 83 | [
"73*90=6570",
"6570-96=6474",
"6474/78=83"
] | Current State: 83:[96, 78, 73, 90], Operations: []
Exploring Operation: 73*90=6570, Resulting Numbers: [96, 78, 6570]
Generated Node #2: [96, 78, 6570] from Operation: 73*90=6570
Current State: 83:[96, 78, 6570], Operations: ['73*90=6570']
Exploring Operation: 6570-96=6474, Resulting Numbers: [78, 6474]
Generated Node #3: [78, 6474] from Operation: 6570-96=6474
Current State: 83:[78, 6474], Operations: ['73*90=6570', '6570-96=6474']
Exploring Operation: 6474/78=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
28,
59,
1,
34
] | 54 | [
"28+59=87",
"34-1=33",
"87-33=54"
] | Current State: 54:[28, 59, 1, 34], Operations: []
Exploring Operation: 28+59=87, Resulting Numbers: [1, 34, 87]
Generated Node #2: [1, 34, 87] from Operation: 28+59=87
Current State: 54:[1, 34, 87], Operations: ['28+59=87']
Exploring Operation: 34-1=33, Resulting Numbers: [87, 33]
Generated Node #3: [87, 33] from Operation: 34-1=33
Current State: 54:[87, 33], Operations: ['28+59=87', '34-1=33']
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
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