nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
36,
78,
6,
66
] | 54 | [
"36+78=114",
"66-6=60",
"114-60=54"
] | Current State: 54:[36, 78, 6, 66], Operations: []
Exploring Operation: 36+78=114, Resulting Numbers: [6, 66, 114]
Generated Node #2: [6, 66, 114] from Operation: 36+78=114
Current State: 54:[6, 66, 114], Operations: ['36+78=114']
Exploring Operation: 66-6=60, Resulting Numbers: [114, 60]
Generated Node #3: [114, 60] from Operation: 66-6=60
Current State: 54:[114, 60], Operations: ['36+78=114', '66-6=60']
Exploring Operation: 114-60=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
95,
3,
1,
14
] | 26 | [
"95-14=81",
"81/3=27",
"27-1=26"
] | Current State: 26:[95, 3, 1, 14], Operations: []
Exploring Operation: 95-14=81, Resulting Numbers: [3, 1, 81]
Generated Node #2: [3, 1, 81] from Operation: 95-14=81
Current State: 26:[3, 1, 81], Operations: ['95-14=81']
Exploring Operation: 81/3=27, Resulting Numbers: [1, 27]
Generated Node #3: [1, 27] from Operation: 81/3=27
Current State: 26:[1, 27], Operations: ['95-14=81', '81/3=27']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
91,
27,
60,
71
] | 54 | [
"91+71=162",
"162/27=6",
"60-6=54"
] | Current State: 54:[91, 27, 60, 71], Operations: []
Exploring Operation: 91+71=162, Resulting Numbers: [27, 60, 162]
Generated Node #2: [27, 60, 162] from Operation: 91+71=162
Current State: 54:[27, 60, 162], Operations: ['91+71=162']
Exploring Operation: 162/27=6, Resulting Numbers: [60, 6]
Generated Node #3: [60, 6] from Operation: 162/27=6
Current State: 54:[60, 6], Operations: ['91+71=162', '162/27=6']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
27,
81,
2,
11
] | 97 | [
"81-27=54",
"2*54=108",
"108-11=97"
] | Current State: 97:[27, 81, 2, 11], Operations: []
Exploring Operation: 81-27=54, Resulting Numbers: [2, 11, 54]
Generated Node #2: [2, 11, 54] from Operation: 81-27=54
Current State: 97:[2, 11, 54], Operations: ['81-27=54']
Exploring Operation: 2*54=108, Resulting Numbers: [11, 108]
Generated Node #3: [11, 108] from Operation: 2*54=108
Current State: 97:[11, 108], Operations: ['81-27=54', '2*54=108']
Exploring Operation: 108-11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
29,
5,
86,
1
] | 88 | [
"5+1=6",
"29*6=174",
"174-86=88"
] | Current State: 88:[29, 5, 86, 1], Operations: []
Exploring Operation: 5+1=6, Resulting Numbers: [29, 86, 6]
Generated Node #2: [29, 86, 6] from Operation: 5+1=6
Current State: 88:[29, 86, 6], Operations: ['5+1=6']
Exploring Operation: 29*6=174, Resulting Numbers: [86, 174]
Generated Node #3: [86, 174] from Operation: 29*6=174
Current State: 88:[86, 174], Operations: ['5+1=6', '29*6=174']
Exploring Operation: 174-86=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
6,
25,
27,
24
] | 56 | [
"24/6=4",
"25+27=52",
"4+52=56"
] | Current State: 56:[6, 25, 27, 24], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [25, 27, 4]
Generated Node #2: [25, 27, 4] from Operation: 24/6=4
Current State: 56:[25, 27, 4], Operations: ['24/6=4']
Exploring Operation: 25+27=52, Resulting Numbers: [4, 52]
Generated Node #3: [4, 52] from Operation: 25+27=52
Current State: 56:[4, 52], Operations: ['24/6=4', '25+27=52']
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
93,
96,
38,
34
] | 80 | [
"96-93=3",
"38*3=114",
"114-34=80"
] | Current State: 80:[93, 96, 38, 34], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [38, 34, 3]
Generated Node #2: [38, 34, 3] from Operation: 96-93=3
Current State: 80:[38, 34, 3], Operations: ['96-93=3']
Exploring Operation: 38*3=114, Resulting Numbers: [34, 114]
Generated Node #3: [34, 114] from Operation: 38*3=114
Current State: 80:[34, 114], Operations: ['96-93=3', '38*3=114']
Exploring Operation: 114-34=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
45,
63,
21,
30
] | 28 | [
"63-21=42",
"30*42=1260",
"1260/45=28"
] | Current State: 28:[45, 63, 21, 30], Operations: []
Exploring Operation: 63-21=42, Resulting Numbers: [45, 30, 42]
Generated Node #2: [45, 30, 42] from Operation: 63-21=42
Current State: 28:[45, 30, 42], Operations: ['63-21=42']
Exploring Operation: 30*42=1260, Resulting Numbers: [45, 1260]
Generated Node #3: [45, 1260] from Operation: 30*42=1260
Current State: 28:[45, 1260], Operations: ['63-21=42', '30*42=1260']
Exploring Operation: 1260/45=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
29,
60,
93,
8
] | 52 | [
"93-29=64",
"64/8=8",
"60-8=52"
] | Current State: 52:[29, 60, 93, 8], Operations: []
Exploring Operation: 93-29=64, Resulting Numbers: [60, 8, 64]
Generated Node #2: [60, 8, 64] from Operation: 93-29=64
Current State: 52:[60, 8, 64], Operations: ['93-29=64']
Exploring Operation: 64/8=8, Resulting Numbers: [60, 8]
Generated Node #3: [60, 8] from Operation: 64/8=8
Current State: 52:[60, 8], Operations: ['93-29=64', '64/8=8']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
10,
44,
66,
88
] | 54 | [
"66-10=56",
"88/44=2",
"56-2=54"
] | Current State: 54:[10, 44, 66, 88], Operations: []
Exploring Operation: 66-10=56, Resulting Numbers: [44, 88, 56]
Generated Node #2: [44, 88, 56] from Operation: 66-10=56
Current State: 54:[44, 88, 56], Operations: ['66-10=56']
Exploring Operation: 88/44=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 88/44=2
Current State: 54:[56, 2], Operations: ['66-10=56', '88/44=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
12,
56,
78,
42
] | 52 | [
"12+56=68",
"78+42=120",
"120-68=52"
] | Current State: 52:[12, 56, 78, 42], Operations: []
Exploring Operation: 12+56=68, Resulting Numbers: [78, 42, 68]
Generated Node #2: [78, 42, 68] from Operation: 12+56=68
Current State: 52:[78, 42, 68], Operations: ['12+56=68']
Exploring Operation: 78+42=120, Resulting Numbers: [68, 120]
Generated Node #3: [68, 120] from Operation: 78+42=120
Current State: 52:[68, 120], Operations: ['12+56=68', '78+42=120']
Exploring Operation: 120-68=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
36,
25,
54,
81
] | 30 | [
"81-36=45",
"25*54=1350",
"1350/45=30"
] | Current State: 30:[36, 25, 54, 81], Operations: []
Exploring Operation: 81-36=45, Resulting Numbers: [25, 54, 45]
Generated Node #2: [25, 54, 45] from Operation: 81-36=45
Current State: 30:[25, 54, 45], Operations: ['81-36=45']
Exploring Operation: 25*54=1350, Resulting Numbers: [45, 1350]
Generated Node #3: [45, 1350] from Operation: 25*54=1350
Current State: 30:[45, 1350], Operations: ['81-36=45', '25*54=1350']
Exploring Operation: 1350/45=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
17,
23,
22,
20
] | 19 | [
"22-17=5",
"20/5=4",
"23-4=19"
] | Current State: 19:[17, 23, 22, 20], Operations: []
Exploring Operation: 22-17=5, Resulting Numbers: [23, 20, 5]
Generated Node #2: [23, 20, 5] from Operation: 22-17=5
Current State: 19:[23, 20, 5], Operations: ['22-17=5']
Exploring Operation: 20/5=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 20/5=4
Current State: 19:[23, 4], Operations: ['22-17=5', '20/5=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
38,
5,
57,
10
] | 21 | [
"38+57=95",
"10+95=105",
"105/5=21"
] | Current State: 21:[38, 5, 57, 10], Operations: []
Exploring Operation: 38+57=95, Resulting Numbers: [5, 10, 95]
Generated Node #2: [5, 10, 95] from Operation: 38+57=95
Current State: 21:[5, 10, 95], Operations: ['38+57=95']
Exploring Operation: 10+95=105, Resulting Numbers: [5, 105]
Generated Node #3: [5, 105] from Operation: 10+95=105
Current State: 21:[5, 105], Operations: ['38+57=95', '10+95=105']
Exploring Operation: 105/5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
4,
20,
72,
70
] | 88 | [
"20+72=92",
"92-70=22",
"4*22=88"
] | Current State: 88:[4, 20, 72, 70], Operations: []
Exploring Operation: 20+72=92, Resulting Numbers: [4, 70, 92]
Generated Node #2: [4, 70, 92] from Operation: 20+72=92
Current State: 88:[4, 70, 92], Operations: ['20+72=92']
Exploring Operation: 92-70=22, Resulting Numbers: [4, 22]
Generated Node #3: [4, 22] from Operation: 92-70=22
Current State: 88:[4, 22], Operations: ['20+72=92', '92-70=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
71,
9,
49,
91
] | 60 | [
"71+9=80",
"49+91=140",
"140-80=60"
] | Current State: 60:[71, 9, 49, 91], Operations: []
Exploring Operation: 71+9=80, Resulting Numbers: [49, 91, 80]
Generated Node #2: [49, 91, 80] from Operation: 71+9=80
Current State: 60:[49, 91, 80], Operations: ['71+9=80']
Exploring Operation: 49+91=140, Resulting Numbers: [80, 140]
Generated Node #3: [80, 140] from Operation: 49+91=140
Current State: 60:[80, 140], Operations: ['71+9=80', '49+91=140']
Exploring Operation: 140-80=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
9,
25,
60,
4
] | 49 | [
"9+25=34",
"60/4=15",
"34+15=49"
] | Current State: 49:[9, 25, 60, 4], Operations: []
Exploring Operation: 9+25=34, Resulting Numbers: [60, 4, 34]
Generated Node #2: [60, 4, 34] from Operation: 9+25=34
Current State: 49:[60, 4, 34], Operations: ['9+25=34']
Exploring Operation: 60/4=15, Resulting Numbers: [34, 15]
Generated Node #3: [34, 15] from Operation: 60/4=15
Current State: 49:[34, 15], Operations: ['9+25=34', '60/4=15']
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
22,
25,
51,
51
] | 22 | [
"51-51=0",
"25*0=0",
"22+0=22"
] | Current State: 22:[22, 25, 51, 51], Operations: []
Exploring Operation: 51-51=0, Resulting Numbers: [22, 25, 0]
Generated Node #2: [22, 25, 0] from Operation: 51-51=0
Current State: 22:[22, 25, 0], Operations: ['51-51=0']
Exploring Operation: 25*0=0, Resulting Numbers: [22, 0]
Generated Node #3: [22, 0] from Operation: 25*0=0
Current State: 22:[22, 0], Operations: ['51-51=0', '25*0=0']
Exploring Operation: 22+0=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
33,
15,
98,
21
] | 71 | [
"33+15=48",
"98+21=119",
"119-48=71"
] | Current State: 71:[33, 15, 98, 21], Operations: []
Exploring Operation: 33+15=48, Resulting Numbers: [98, 21, 48]
Generated Node #2: [98, 21, 48] from Operation: 33+15=48
Current State: 71:[98, 21, 48], Operations: ['33+15=48']
Exploring Operation: 98+21=119, Resulting Numbers: [48, 119]
Generated Node #3: [48, 119] from Operation: 98+21=119
Current State: 71:[48, 119], Operations: ['33+15=48', '98+21=119']
Exploring Operation: 119-48=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
76,
48,
75,
16
] | 87 | [
"76-48=28",
"75-16=59",
"28+59=87"
] | Current State: 87:[76, 48, 75, 16], Operations: []
Exploring Operation: 76-48=28, Resulting Numbers: [75, 16, 28]
Generated Node #2: [75, 16, 28] from Operation: 76-48=28
Current State: 87:[75, 16, 28], Operations: ['76-48=28']
Exploring Operation: 75-16=59, Resulting Numbers: [28, 59]
Generated Node #3: [28, 59] from Operation: 75-16=59
Current State: 87:[28, 59], Operations: ['76-48=28', '75-16=59']
Exploring Operation: 28+59=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
49,
6,
26,
23
] | 31 | [
"26-23=3",
"6*3=18",
"49-18=31"
] | Current State: 31:[49, 6, 26, 23], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [49, 6, 3]
Generated Node #2: [49, 6, 3] from Operation: 26-23=3
Current State: 31:[49, 6, 3], Operations: ['26-23=3']
Exploring Operation: 6*3=18, Resulting Numbers: [49, 18]
Generated Node #3: [49, 18] from Operation: 6*3=18
Current State: 31:[49, 18], Operations: ['26-23=3', '6*3=18']
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
18,
3,
19,
89
] | 76 | [
"18/3=6",
"89-19=70",
"6+70=76"
] | Current State: 76:[18, 3, 19, 89], Operations: []
Exploring Operation: 18/3=6, Resulting Numbers: [19, 89, 6]
Generated Node #2: [19, 89, 6] from Operation: 18/3=6
Current State: 76:[19, 89, 6], Operations: ['18/3=6']
Exploring Operation: 89-19=70, Resulting Numbers: [6, 70]
Generated Node #3: [6, 70] from Operation: 89-19=70
Current State: 76:[6, 70], Operations: ['18/3=6', '89-19=70']
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
3,
62,
25,
22
] | 61 | [
"25-3=22",
"22/22=1",
"62-1=61"
] | Current State: 61:[3, 62, 25, 22], Operations: []
Exploring Operation: 25-3=22, Resulting Numbers: [62, 22, 22]
Generated Node #2: [62, 22, 22] from Operation: 25-3=22
Current State: 61:[62, 22, 22], Operations: ['25-3=22']
Exploring Operation: 22/22=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 22/22=1
Current State: 61:[62, 1], Operations: ['25-3=22', '22/22=1']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
70,
77,
72,
47
] | 15 | [
"72-70=2",
"77-47=30",
"30/2=15"
] | Current State: 15:[70, 77, 72, 47], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [77, 47, 2]
Generated Node #2: [77, 47, 2] from Operation: 72-70=2
Current State: 15:[77, 47, 2], Operations: ['72-70=2']
Exploring Operation: 77-47=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 77-47=30
Current State: 15:[2, 30], Operations: ['72-70=2', '77-47=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
9,
95,
22,
58
] | 68 | [
"9+95=104",
"58-22=36",
"104-36=68"
] | Current State: 68:[9, 95, 22, 58], Operations: []
Exploring Operation: 9+95=104, Resulting Numbers: [22, 58, 104]
Generated Node #2: [22, 58, 104] from Operation: 9+95=104
Current State: 68:[22, 58, 104], Operations: ['9+95=104']
Exploring Operation: 58-22=36, Resulting Numbers: [104, 36]
Generated Node #3: [104, 36] from Operation: 58-22=36
Current State: 68:[104, 36], Operations: ['9+95=104', '58-22=36']
Exploring Operation: 104-36=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
47,
22,
35,
50
] | 83 | [
"50-47=3",
"35*3=105",
"105-22=83"
] | Current State: 83:[47, 22, 35, 50], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [22, 35, 3]
Generated Node #2: [22, 35, 3] from Operation: 50-47=3
Current State: 83:[22, 35, 3], Operations: ['50-47=3']
Exploring Operation: 35*3=105, Resulting Numbers: [22, 105]
Generated Node #3: [22, 105] from Operation: 35*3=105
Current State: 83:[22, 105], Operations: ['50-47=3', '35*3=105']
Exploring Operation: 105-22=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
68,
73,
10,
29
] | 31 | [
"73-68=5",
"10/5=2",
"29+2=31"
] | Current State: 31:[68, 73, 10, 29], Operations: []
Exploring Operation: 73-68=5, Resulting Numbers: [10, 29, 5]
Generated Node #2: [10, 29, 5] from Operation: 73-68=5
Current State: 31:[10, 29, 5], Operations: ['73-68=5']
Exploring Operation: 10/5=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 10/5=2
Current State: 31:[29, 2], Operations: ['73-68=5', '10/5=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
6,
84,
43,
4
] | 82 | [
"6+84=90",
"43*4=172",
"172-90=82"
] | Current State: 82:[6, 84, 43, 4], Operations: []
Exploring Operation: 6+84=90, Resulting Numbers: [43, 4, 90]
Generated Node #2: [43, 4, 90] from Operation: 6+84=90
Current State: 82:[43, 4, 90], Operations: ['6+84=90']
Exploring Operation: 43*4=172, Resulting Numbers: [90, 172]
Generated Node #3: [90, 172] from Operation: 43*4=172
Current State: 82:[90, 172], Operations: ['6+84=90', '43*4=172']
Exploring Operation: 172-90=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
78,
14,
32,
15
] | 65 | [
"78*15=1170",
"32-14=18",
"1170/18=65"
] | Current State: 65:[78, 14, 32, 15], Operations: []
Exploring Operation: 78*15=1170, Resulting Numbers: [14, 32, 1170]
Generated Node #2: [14, 32, 1170] from Operation: 78*15=1170
Current State: 65:[14, 32, 1170], Operations: ['78*15=1170']
Exploring Operation: 32-14=18, Resulting Numbers: [1170, 18]
Generated Node #3: [1170, 18] from Operation: 32-14=18
Current State: 65:[1170, 18], Operations: ['78*15=1170', '32-14=18']
Exploring Operation: 1170/18=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
7,
76,
39,
85
] | 16 | [
"76+85=161",
"161/7=23",
"39-23=16"
] | Current State: 16:[7, 76, 39, 85], Operations: []
Exploring Operation: 76+85=161, Resulting Numbers: [7, 39, 161]
Generated Node #2: [7, 39, 161] from Operation: 76+85=161
Current State: 16:[7, 39, 161], Operations: ['76+85=161']
Exploring Operation: 161/7=23, Resulting Numbers: [39, 23]
Generated Node #3: [39, 23] from Operation: 161/7=23
Current State: 16:[39, 23], Operations: ['76+85=161', '161/7=23']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
3,
95,
48,
53
] | 93 | [
"3+95=98",
"53-48=5",
"98-5=93"
] | Current State: 93:[3, 95, 48, 53], Operations: []
Exploring Operation: 3+95=98, Resulting Numbers: [48, 53, 98]
Generated Node #2: [48, 53, 98] from Operation: 3+95=98
Current State: 93:[48, 53, 98], Operations: ['3+95=98']
Exploring Operation: 53-48=5, Resulting Numbers: [98, 5]
Generated Node #3: [98, 5] from Operation: 53-48=5
Current State: 93:[98, 5], Operations: ['3+95=98', '53-48=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
71,
24,
64,
91
] | 37 | [
"71-64=7",
"91/7=13",
"24+13=37"
] | Current State: 37:[71, 24, 64, 91], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [24, 91, 7]
Generated Node #2: [24, 91, 7] from Operation: 71-64=7
Current State: 37:[24, 91, 7], Operations: ['71-64=7']
Exploring Operation: 91/7=13, Resulting Numbers: [24, 13]
Generated Node #3: [24, 13] from Operation: 91/7=13
Current State: 37:[24, 13], Operations: ['71-64=7', '91/7=13']
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
76,
1,
80,
15
] | 81 | [
"1+15=16",
"80/16=5",
"76+5=81"
] | Current State: 81:[76, 1, 80, 15], Operations: []
Exploring Operation: 1+15=16, Resulting Numbers: [76, 80, 16]
Generated Node #2: [76, 80, 16] from Operation: 1+15=16
Current State: 81:[76, 80, 16], Operations: ['1+15=16']
Exploring Operation: 80/16=5, Resulting Numbers: [76, 5]
Generated Node #3: [76, 5] from Operation: 80/16=5
Current State: 81:[76, 5], Operations: ['1+15=16', '80/16=5']
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
20,
94,
97,
80
] | 91 | [
"94-20=74",
"97-80=17",
"74+17=91"
] | Current State: 91:[20, 94, 97, 80], Operations: []
Exploring Operation: 94-20=74, Resulting Numbers: [97, 80, 74]
Generated Node #2: [97, 80, 74] from Operation: 94-20=74
Current State: 91:[97, 80, 74], Operations: ['94-20=74']
Exploring Operation: 97-80=17, Resulting Numbers: [74, 17]
Generated Node #3: [74, 17] from Operation: 97-80=17
Current State: 91:[74, 17], Operations: ['94-20=74', '97-80=17']
Exploring Operation: 74+17=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
36,
78,
20,
6
] | 22 | [
"78-6=72",
"72/36=2",
"20+2=22"
] | Current State: 22:[36, 78, 20, 6], Operations: []
Exploring Operation: 78-6=72, Resulting Numbers: [36, 20, 72]
Generated Node #2: [36, 20, 72] from Operation: 78-6=72
Current State: 22:[36, 20, 72], Operations: ['78-6=72']
Exploring Operation: 72/36=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 72/36=2
Current State: 22:[20, 2], Operations: ['78-6=72', '72/36=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
45,
76,
86,
40
] | 95 | [
"76-45=31",
"86+40=126",
"126-31=95"
] | Current State: 95:[45, 76, 86, 40], Operations: []
Exploring Operation: 76-45=31, Resulting Numbers: [86, 40, 31]
Generated Node #2: [86, 40, 31] from Operation: 76-45=31
Current State: 95:[86, 40, 31], Operations: ['76-45=31']
Exploring Operation: 86+40=126, Resulting Numbers: [31, 126]
Generated Node #3: [31, 126] from Operation: 86+40=126
Current State: 95:[31, 126], Operations: ['76-45=31', '86+40=126']
Exploring Operation: 126-31=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
9,
87,
60,
42
] | 45 | [
"87-60=27",
"27/9=3",
"42+3=45"
] | Current State: 45:[9, 87, 60, 42], Operations: []
Exploring Operation: 87-60=27, Resulting Numbers: [9, 42, 27]
Generated Node #2: [9, 42, 27] from Operation: 87-60=27
Current State: 45:[9, 42, 27], Operations: ['87-60=27']
Exploring Operation: 27/9=3, Resulting Numbers: [42, 3]
Generated Node #3: [42, 3] from Operation: 27/9=3
Current State: 45:[42, 3], Operations: ['87-60=27', '27/9=3']
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
69,
88,
5,
3
] | 21 | [
"88-69=19",
"5-3=2",
"19+2=21"
] | Current State: 21:[69, 88, 5, 3], Operations: []
Exploring Operation: 88-69=19, Resulting Numbers: [5, 3, 19]
Generated Node #2: [5, 3, 19] from Operation: 88-69=19
Current State: 21:[5, 3, 19], Operations: ['88-69=19']
Exploring Operation: 5-3=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 5-3=2
Current State: 21:[19, 2], Operations: ['88-69=19', '5-3=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
48,
35,
11,
50
] | 26 | [
"48-35=13",
"50-11=39",
"39-13=26"
] | Current State: 26:[48, 35, 11, 50], Operations: []
Exploring Operation: 48-35=13, Resulting Numbers: [11, 50, 13]
Generated Node #2: [11, 50, 13] from Operation: 48-35=13
Current State: 26:[11, 50, 13], Operations: ['48-35=13']
Exploring Operation: 50-11=39, Resulting Numbers: [13, 39]
Generated Node #3: [13, 39] from Operation: 50-11=39
Current State: 26:[13, 39], Operations: ['48-35=13', '50-11=39']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
75,
42,
44,
68
] | 61 | [
"44-42=2",
"68*2=136",
"136-75=61"
] | Current State: 61:[75, 42, 44, 68], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [75, 68, 2]
Generated Node #2: [75, 68, 2] from Operation: 44-42=2
Current State: 61:[75, 68, 2], Operations: ['44-42=2']
Exploring Operation: 68*2=136, Resulting Numbers: [75, 136]
Generated Node #3: [75, 136] from Operation: 68*2=136
Current State: 61:[75, 136], Operations: ['44-42=2', '68*2=136']
Exploring Operation: 136-75=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
36,
84,
40,
72
] | 42 | [
"72/36=2",
"84-40=44",
"44-2=42"
] | Current State: 42:[36, 84, 40, 72], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [84, 40, 2]
Generated Node #2: [84, 40, 2] from Operation: 72/36=2
Current State: 42:[84, 40, 2], Operations: ['72/36=2']
Exploring Operation: 84-40=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 84-40=44
Current State: 42:[2, 44], Operations: ['72/36=2', '84-40=44']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
65,
26,
96,
30
] | 87 | [
"65-26=39",
"96+30=126",
"126-39=87"
] | Current State: 87:[65, 26, 96, 30], Operations: []
Exploring Operation: 65-26=39, Resulting Numbers: [96, 30, 39]
Generated Node #2: [96, 30, 39] from Operation: 65-26=39
Current State: 87:[96, 30, 39], Operations: ['65-26=39']
Exploring Operation: 96+30=126, Resulting Numbers: [39, 126]
Generated Node #3: [39, 126] from Operation: 96+30=126
Current State: 87:[39, 126], Operations: ['65-26=39', '96+30=126']
Exploring Operation: 126-39=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
38,
66,
42,
92
] | 78 | [
"66-38=28",
"92-42=50",
"28+50=78"
] | Current State: 78:[38, 66, 42, 92], Operations: []
Exploring Operation: 66-38=28, Resulting Numbers: [42, 92, 28]
Generated Node #2: [42, 92, 28] from Operation: 66-38=28
Current State: 78:[42, 92, 28], Operations: ['66-38=28']
Exploring Operation: 92-42=50, Resulting Numbers: [28, 50]
Generated Node #3: [28, 50] from Operation: 92-42=50
Current State: 78:[28, 50], Operations: ['66-38=28', '92-42=50']
Exploring Operation: 28+50=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
31,
39,
19,
49
] | 76 | [
"39-31=8",
"19+49=68",
"8+68=76"
] | Current State: 76:[31, 39, 19, 49], Operations: []
Exploring Operation: 39-31=8, Resulting Numbers: [19, 49, 8]
Generated Node #2: [19, 49, 8] from Operation: 39-31=8
Current State: 76:[19, 49, 8], Operations: ['39-31=8']
Exploring Operation: 19+49=68, Resulting Numbers: [8, 68]
Generated Node #3: [8, 68] from Operation: 19+49=68
Current State: 76:[8, 68], Operations: ['39-31=8', '19+49=68']
Exploring Operation: 8+68=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
4,
93,
60,
99
] | 90 | [
"60/4=15",
"99-93=6",
"15*6=90"
] | Current State: 90:[4, 93, 60, 99], Operations: []
Exploring Operation: 60/4=15, Resulting Numbers: [93, 99, 15]
Generated Node #2: [93, 99, 15] from Operation: 60/4=15
Current State: 90:[93, 99, 15], Operations: ['60/4=15']
Exploring Operation: 99-93=6, Resulting Numbers: [15, 6]
Generated Node #3: [15, 6] from Operation: 99-93=6
Current State: 90:[15, 6], Operations: ['60/4=15', '99-93=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
93,
94,
42,
63
] | 20 | [
"94-93=1",
"63-42=21",
"21-1=20"
] | Current State: 20:[93, 94, 42, 63], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [42, 63, 1]
Generated Node #2: [42, 63, 1] from Operation: 94-93=1
Current State: 20:[42, 63, 1], Operations: ['94-93=1']
Exploring Operation: 63-42=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 63-42=21
Current State: 20:[1, 21], Operations: ['94-93=1', '63-42=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
71,
33,
18,
63
] | 43 | [
"71-33=38",
"18+63=81",
"81-38=43"
] | Current State: 43:[71, 33, 18, 63], Operations: []
Exploring Operation: 71-33=38, Resulting Numbers: [18, 63, 38]
Generated Node #2: [18, 63, 38] from Operation: 71-33=38
Current State: 43:[18, 63, 38], Operations: ['71-33=38']
Exploring Operation: 18+63=81, Resulting Numbers: [38, 81]
Generated Node #3: [38, 81] from Operation: 18+63=81
Current State: 43:[38, 81], Operations: ['71-33=38', '18+63=81']
Exploring Operation: 81-38=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
13,
59,
16,
10
] | 66 | [
"13+59=72",
"16-10=6",
"72-6=66"
] | Current State: 66:[13, 59, 16, 10], Operations: []
Exploring Operation: 13+59=72, Resulting Numbers: [16, 10, 72]
Generated Node #2: [16, 10, 72] from Operation: 13+59=72
Current State: 66:[16, 10, 72], Operations: ['13+59=72']
Exploring Operation: 16-10=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 16-10=6
Current State: 66:[72, 6], Operations: ['13+59=72', '16-10=6']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
90,
97,
89,
53
] | 29 | [
"97-90=7",
"89-53=36",
"36-7=29"
] | Current State: 29:[90, 97, 89, 53], Operations: []
Exploring Operation: 97-90=7, Resulting Numbers: [89, 53, 7]
Generated Node #2: [89, 53, 7] from Operation: 97-90=7
Current State: 29:[89, 53, 7], Operations: ['97-90=7']
Exploring Operation: 89-53=36, Resulting Numbers: [7, 36]
Generated Node #3: [7, 36] from Operation: 89-53=36
Current State: 29:[7, 36], Operations: ['97-90=7', '89-53=36']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
86,
55,
31,
79
] | 34 | [
"86+79=165",
"165/55=3",
"31+3=34"
] | Current State: 34:[86, 55, 31, 79], Operations: []
Exploring Operation: 86+79=165, Resulting Numbers: [55, 31, 165]
Generated Node #2: [55, 31, 165] from Operation: 86+79=165
Current State: 34:[55, 31, 165], Operations: ['86+79=165']
Exploring Operation: 165/55=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 165/55=3
Current State: 34:[31, 3], Operations: ['86+79=165', '165/55=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
58,
16,
70,
38
] | 34 | [
"58+16=74",
"70+38=108",
"108-74=34"
] | Current State: 34:[58, 16, 70, 38], Operations: []
Exploring Operation: 58+16=74, Resulting Numbers: [70, 38, 74]
Generated Node #2: [70, 38, 74] from Operation: 58+16=74
Current State: 34:[70, 38, 74], Operations: ['58+16=74']
Exploring Operation: 70+38=108, Resulting Numbers: [74, 108]
Generated Node #3: [74, 108] from Operation: 70+38=108
Current State: 34:[74, 108], Operations: ['58+16=74', '70+38=108']
Exploring Operation: 108-74=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
66,
32,
35,
85
] | 84 | [
"66-32=34",
"85-35=50",
"34+50=84"
] | Current State: 84:[66, 32, 35, 85], Operations: []
Exploring Operation: 66-32=34, Resulting Numbers: [35, 85, 34]
Generated Node #2: [35, 85, 34] from Operation: 66-32=34
Current State: 84:[35, 85, 34], Operations: ['66-32=34']
Exploring Operation: 85-35=50, Resulting Numbers: [34, 50]
Generated Node #3: [34, 50] from Operation: 85-35=50
Current State: 84:[34, 50], Operations: ['66-32=34', '85-35=50']
Exploring Operation: 34+50=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
60,
52,
80,
6
] | 16 | [
"60-52=8",
"80/8=10",
"6+10=16"
] | Current State: 16:[60, 52, 80, 6], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [80, 6, 8]
Generated Node #2: [80, 6, 8] from Operation: 60-52=8
Current State: 16:[80, 6, 8], Operations: ['60-52=8']
Exploring Operation: 80/8=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 80/8=10
Current State: 16:[6, 10], Operations: ['60-52=8', '80/8=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
55,
45,
1,
82
] | 73 | [
"55-45=10",
"1+82=83",
"83-10=73"
] | Current State: 73:[55, 45, 1, 82], Operations: []
Exploring Operation: 55-45=10, Resulting Numbers: [1, 82, 10]
Generated Node #2: [1, 82, 10] from Operation: 55-45=10
Current State: 73:[1, 82, 10], Operations: ['55-45=10']
Exploring Operation: 1+82=83, Resulting Numbers: [10, 83]
Generated Node #3: [10, 83] from Operation: 1+82=83
Current State: 73:[10, 83], Operations: ['55-45=10', '1+82=83']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
34,
16,
8,
10
] | 40 | [
"34+16=50",
"8*50=400",
"400/10=40"
] | Current State: 40:[34, 16, 8, 10], Operations: []
Exploring Operation: 34+16=50, Resulting Numbers: [8, 10, 50]
Generated Node #2: [8, 10, 50] from Operation: 34+16=50
Current State: 40:[8, 10, 50], Operations: ['34+16=50']
Exploring Operation: 8*50=400, Resulting Numbers: [10, 400]
Generated Node #3: [10, 400] from Operation: 8*50=400
Current State: 40:[10, 400], Operations: ['34+16=50', '8*50=400']
Exploring Operation: 400/10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
30,
30,
77,
94
] | 15 | [
"77-30=47",
"30*47=1410",
"1410/94=15"
] | Current State: 15:[30, 30, 77, 94], Operations: []
Exploring Operation: 77-30=47, Resulting Numbers: [94, 47]
Generated Node #2: [94, 47] from Operation: 77-30=47
Current State: 15:[94, 47], Operations: ['77-30=47']
Exploring Operation: 30*47=1410, Resulting Numbers: [94, 1410]
Generated Node #3: [94, 1410] from Operation: 30*47=1410
Current State: 15:[94, 1410], Operations: ['77-30=47', '30*47=1410']
Exploring Operation: 1410/94=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
85,
2,
66,
50
] | 93 | [
"66-50=16",
"16/2=8",
"85+8=93"
] | Current State: 93:[85, 2, 66, 50], Operations: []
Exploring Operation: 66-50=16, Resulting Numbers: [85, 2, 16]
Generated Node #2: [85, 2, 16] from Operation: 66-50=16
Current State: 93:[85, 2, 16], Operations: ['66-50=16']
Exploring Operation: 16/2=8, Resulting Numbers: [85, 8]
Generated Node #3: [85, 8] from Operation: 16/2=8
Current State: 93:[85, 8], Operations: ['66-50=16', '16/2=8']
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
25,
60,
63,
40
] | 45 | [
"40-25=15",
"63-60=3",
"15*3=45"
] | Current State: 45:[25, 60, 63, 40], Operations: []
Exploring Operation: 40-25=15, Resulting Numbers: [60, 63, 15]
Generated Node #2: [60, 63, 15] from Operation: 40-25=15
Current State: 45:[60, 63, 15], Operations: ['40-25=15']
Exploring Operation: 63-60=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 63-60=3
Current State: 45:[15, 3], Operations: ['40-25=15', '63-60=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
5,
68,
69,
16
] | 51 | [
"69+16=85",
"85/5=17",
"68-17=51"
] | Current State: 51:[5, 68, 69, 16], Operations: []
Exploring Operation: 69+16=85, Resulting Numbers: [5, 68, 85]
Generated Node #2: [5, 68, 85] from Operation: 69+16=85
Current State: 51:[5, 68, 85], Operations: ['69+16=85']
Exploring Operation: 85/5=17, Resulting Numbers: [68, 17]
Generated Node #3: [68, 17] from Operation: 85/5=17
Current State: 51:[68, 17], Operations: ['69+16=85', '85/5=17']
Exploring Operation: 68-17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
6,
48,
53,
42
] | 68 | [
"48+42=90",
"90/6=15",
"53+15=68"
] | Current State: 68:[6, 48, 53, 42], Operations: []
Exploring Operation: 48+42=90, Resulting Numbers: [6, 53, 90]
Generated Node #2: [6, 53, 90] from Operation: 48+42=90
Current State: 68:[6, 53, 90], Operations: ['48+42=90']
Exploring Operation: 90/6=15, Resulting Numbers: [53, 15]
Generated Node #3: [53, 15] from Operation: 90/6=15
Current State: 68:[53, 15], Operations: ['48+42=90', '90/6=15']
Exploring Operation: 53+15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
5,
56,
16,
76
] | 41 | [
"56-5=51",
"16+76=92",
"92-51=41"
] | Current State: 41:[5, 56, 16, 76], Operations: []
Exploring Operation: 56-5=51, Resulting Numbers: [16, 76, 51]
Generated Node #2: [16, 76, 51] from Operation: 56-5=51
Current State: 41:[16, 76, 51], Operations: ['56-5=51']
Exploring Operation: 16+76=92, Resulting Numbers: [51, 92]
Generated Node #3: [51, 92] from Operation: 16+76=92
Current State: 41:[51, 92], Operations: ['56-5=51', '16+76=92']
Exploring Operation: 92-51=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
47,
65,
23,
77
] | 82 | [
"65-47=18",
"23+77=100",
"100-18=82"
] | Current State: 82:[47, 65, 23, 77], Operations: []
Exploring Operation: 65-47=18, Resulting Numbers: [23, 77, 18]
Generated Node #2: [23, 77, 18] from Operation: 65-47=18
Current State: 82:[23, 77, 18], Operations: ['65-47=18']
Exploring Operation: 23+77=100, Resulting Numbers: [18, 100]
Generated Node #3: [18, 100] from Operation: 23+77=100
Current State: 82:[18, 100], Operations: ['65-47=18', '23+77=100']
Exploring Operation: 100-18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
53,
55,
59,
47
] | 17 | [
"59-53=6",
"55+47=102",
"102/6=17"
] | Current State: 17:[53, 55, 59, 47], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [55, 47, 6]
Generated Node #2: [55, 47, 6] from Operation: 59-53=6
Current State: 17:[55, 47, 6], Operations: ['59-53=6']
Exploring Operation: 55+47=102, Resulting Numbers: [6, 102]
Generated Node #3: [6, 102] from Operation: 55+47=102
Current State: 17:[6, 102], Operations: ['59-53=6', '55+47=102']
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
28,
22,
38,
33
] | 88 | [
"28*33=924",
"22*38=836",
"924-836=88"
] | Current State: 88:[28, 22, 38, 33], Operations: []
Exploring Operation: 28*33=924, Resulting Numbers: [22, 38, 924]
Generated Node #2: [22, 38, 924] from Operation: 28*33=924
Current State: 88:[22, 38, 924], Operations: ['28*33=924']
Exploring Operation: 22*38=836, Resulting Numbers: [924, 836]
Generated Node #3: [924, 836] from Operation: 22*38=836
Current State: 88:[924, 836], Operations: ['28*33=924', '22*38=836']
Exploring Operation: 924-836=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
53,
81,
55,
10
] | 61 | [
"55-53=2",
"10*2=20",
"81-20=61"
] | Current State: 61:[53, 81, 55, 10], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [81, 10, 2]
Generated Node #2: [81, 10, 2] from Operation: 55-53=2
Current State: 61:[81, 10, 2], Operations: ['55-53=2']
Exploring Operation: 10*2=20, Resulting Numbers: [81, 20]
Generated Node #3: [81, 20] from Operation: 10*2=20
Current State: 61:[81, 20], Operations: ['55-53=2', '10*2=20']
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
71,
43,
2,
32
] | 25 | [
"71+43=114",
"114/2=57",
"57-32=25"
] | Current State: 25:[71, 43, 2, 32], Operations: []
Exploring Operation: 71+43=114, Resulting Numbers: [2, 32, 114]
Generated Node #2: [2, 32, 114] from Operation: 71+43=114
Current State: 25:[2, 32, 114], Operations: ['71+43=114']
Exploring Operation: 114/2=57, Resulting Numbers: [32, 57]
Generated Node #3: [32, 57] from Operation: 114/2=57
Current State: 25:[32, 57], Operations: ['71+43=114', '114/2=57']
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
18,
1,
80,
27
] | 10 | [
"18+1=19",
"27-19=8",
"80/8=10"
] | Current State: 10:[18, 1, 80, 27], Operations: []
Exploring Operation: 18+1=19, Resulting Numbers: [80, 27, 19]
Generated Node #2: [80, 27, 19] from Operation: 18+1=19
Current State: 10:[80, 27, 19], Operations: ['18+1=19']
Exploring Operation: 27-19=8, Resulting Numbers: [80, 8]
Generated Node #3: [80, 8] from Operation: 27-19=8
Current State: 10:[80, 8], Operations: ['18+1=19', '27-19=8']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
39,
27,
7,
73
] | 92 | [
"39-27=12",
"7+73=80",
"12+80=92"
] | Current State: 92:[39, 27, 7, 73], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [7, 73, 12]
Generated Node #2: [7, 73, 12] from Operation: 39-27=12
Current State: 92:[7, 73, 12], Operations: ['39-27=12']
Exploring Operation: 7+73=80, Resulting Numbers: [12, 80]
Generated Node #3: [12, 80] from Operation: 7+73=80
Current State: 92:[12, 80], Operations: ['39-27=12', '7+73=80']
Exploring Operation: 12+80=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
22,
57,
76,
50
] | 96 | [
"22+50=72",
"76*72=5472",
"5472/57=96"
] | Current State: 96:[22, 57, 76, 50], Operations: []
Exploring Operation: 22+50=72, Resulting Numbers: [57, 76, 72]
Generated Node #2: [57, 76, 72] from Operation: 22+50=72
Current State: 96:[57, 76, 72], Operations: ['22+50=72']
Exploring Operation: 76*72=5472, Resulting Numbers: [57, 5472]
Generated Node #3: [57, 5472] from Operation: 76*72=5472
Current State: 96:[57, 5472], Operations: ['22+50=72', '76*72=5472']
Exploring Operation: 5472/57=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
30,
34,
38,
5
] | 18 | [
"34-30=4",
"5*4=20",
"38-20=18"
] | Current State: 18:[30, 34, 38, 5], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [38, 5, 4]
Generated Node #2: [38, 5, 4] from Operation: 34-30=4
Current State: 18:[38, 5, 4], Operations: ['34-30=4']
Exploring Operation: 5*4=20, Resulting Numbers: [38, 20]
Generated Node #3: [38, 20] from Operation: 5*4=20
Current State: 18:[38, 20], Operations: ['34-30=4', '5*4=20']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
4,
39,
52,
9
] | 26 | [
"39-4=35",
"52+9=61",
"61-35=26"
] | Current State: 26:[4, 39, 52, 9], Operations: []
Exploring Operation: 39-4=35, Resulting Numbers: [52, 9, 35]
Generated Node #2: [52, 9, 35] from Operation: 39-4=35
Current State: 26:[52, 9, 35], Operations: ['39-4=35']
Exploring Operation: 52+9=61, Resulting Numbers: [35, 61]
Generated Node #3: [35, 61] from Operation: 52+9=61
Current State: 26:[35, 61], Operations: ['39-4=35', '52+9=61']
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
39,
45,
79,
15
] | 100 | [
"45-39=6",
"79+15=94",
"6+94=100"
] | Current State: 100:[39, 45, 79, 15], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [79, 15, 6]
Generated Node #2: [79, 15, 6] from Operation: 45-39=6
Current State: 100:[79, 15, 6], Operations: ['45-39=6']
Exploring Operation: 79+15=94, Resulting Numbers: [6, 94]
Generated Node #3: [6, 94] from Operation: 79+15=94
Current State: 100:[6, 94], Operations: ['45-39=6', '79+15=94']
Exploring Operation: 6+94=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
48,
61,
72,
27
] | 58 | [
"61-48=13",
"72-27=45",
"13+45=58"
] | Current State: 58:[48, 61, 72, 27], Operations: []
Exploring Operation: 61-48=13, Resulting Numbers: [72, 27, 13]
Generated Node #2: [72, 27, 13] from Operation: 61-48=13
Current State: 58:[72, 27, 13], Operations: ['61-48=13']
Exploring Operation: 72-27=45, Resulting Numbers: [13, 45]
Generated Node #3: [13, 45] from Operation: 72-27=45
Current State: 58:[13, 45], Operations: ['61-48=13', '72-27=45']
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
80,
79,
62,
75
] | 14 | [
"80-79=1",
"75-62=13",
"1+13=14"
] | Current State: 14:[80, 79, 62, 75], Operations: []
Exploring Operation: 80-79=1, Resulting Numbers: [62, 75, 1]
Generated Node #2: [62, 75, 1] from Operation: 80-79=1
Current State: 14:[62, 75, 1], Operations: ['80-79=1']
Exploring Operation: 75-62=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 75-62=13
Current State: 14:[1, 13], Operations: ['80-79=1', '75-62=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
62,
74,
42,
68
] | 67 | [
"68-62=6",
"42/6=7",
"74-7=67"
] | Current State: 67:[62, 74, 42, 68], Operations: []
Exploring Operation: 68-62=6, Resulting Numbers: [74, 42, 6]
Generated Node #2: [74, 42, 6] from Operation: 68-62=6
Current State: 67:[74, 42, 6], Operations: ['68-62=6']
Exploring Operation: 42/6=7, Resulting Numbers: [74, 7]
Generated Node #3: [74, 7] from Operation: 42/6=7
Current State: 67:[74, 7], Operations: ['68-62=6', '42/6=7']
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
2,
25,
88,
6
] | 55 | [
"2+25=27",
"88-6=82",
"82-27=55"
] | Current State: 55:[2, 25, 88, 6], Operations: []
Exploring Operation: 2+25=27, Resulting Numbers: [88, 6, 27]
Generated Node #2: [88, 6, 27] from Operation: 2+25=27
Current State: 55:[88, 6, 27], Operations: ['2+25=27']
Exploring Operation: 88-6=82, Resulting Numbers: [27, 82]
Generated Node #3: [27, 82] from Operation: 88-6=82
Current State: 55:[27, 82], Operations: ['2+25=27', '88-6=82']
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
28,
92,
85,
34
] | 69 | [
"28+92=120",
"85-34=51",
"120-51=69"
] | Current State: 69:[28, 92, 85, 34], Operations: []
Exploring Operation: 28+92=120, Resulting Numbers: [85, 34, 120]
Generated Node #2: [85, 34, 120] from Operation: 28+92=120
Current State: 69:[85, 34, 120], Operations: ['28+92=120']
Exploring Operation: 85-34=51, Resulting Numbers: [120, 51]
Generated Node #3: [120, 51] from Operation: 85-34=51
Current State: 69:[120, 51], Operations: ['28+92=120', '85-34=51']
Exploring Operation: 120-51=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
84,
9,
10,
84
] | 18 | [
"84/84=1",
"9+10=19",
"19-1=18"
] | Current State: 18:[84, 9, 10, 84], Operations: []
Exploring Operation: 84/84=1, Resulting Numbers: [9, 10, 1]
Generated Node #2: [9, 10, 1] from Operation: 84/84=1
Current State: 18:[9, 10, 1], Operations: ['84/84=1']
Exploring Operation: 9+10=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 9+10=19
Current State: 18:[1, 19], Operations: ['84/84=1', '9+10=19']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
21,
48,
99,
13
] | 20 | [
"48+99=147",
"147/21=7",
"13+7=20"
] | Current State: 20:[21, 48, 99, 13], Operations: []
Exploring Operation: 48+99=147, Resulting Numbers: [21, 13, 147]
Generated Node #2: [21, 13, 147] from Operation: 48+99=147
Current State: 20:[21, 13, 147], Operations: ['48+99=147']
Exploring Operation: 147/21=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 147/21=7
Current State: 20:[13, 7], Operations: ['48+99=147', '147/21=7']
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
16,
89,
3,
86
] | 25 | [
"89-86=3",
"3*3=9",
"16+9=25"
] | Current State: 25:[16, 89, 3, 86], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [16, 3, 3]
Generated Node #2: [16, 3, 3] from Operation: 89-86=3
Current State: 25:[16, 3, 3], Operations: ['89-86=3']
Exploring Operation: 3*3=9, Resulting Numbers: [16, 9]
Generated Node #3: [16, 9] from Operation: 3*3=9
Current State: 25:[16, 9], Operations: ['89-86=3', '3*3=9']
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
57,
77,
73,
24
] | 69 | [
"77-57=20",
"73-24=49",
"20+49=69"
] | Current State: 69:[57, 77, 73, 24], Operations: []
Exploring Operation: 77-57=20, Resulting Numbers: [73, 24, 20]
Generated Node #2: [73, 24, 20] from Operation: 77-57=20
Current State: 69:[73, 24, 20], Operations: ['77-57=20']
Exploring Operation: 73-24=49, Resulting Numbers: [20, 49]
Generated Node #3: [20, 49] from Operation: 73-24=49
Current State: 69:[20, 49], Operations: ['77-57=20', '73-24=49']
Exploring Operation: 20+49=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
8,
94,
47,
90
] | 86 | [
"8*47=376",
"376/94=4",
"90-4=86"
] | Current State: 86:[8, 94, 47, 90], Operations: []
Exploring Operation: 8*47=376, Resulting Numbers: [94, 90, 376]
Generated Node #2: [94, 90, 376] from Operation: 8*47=376
Current State: 86:[94, 90, 376], Operations: ['8*47=376']
Exploring Operation: 376/94=4, Resulting Numbers: [90, 4]
Generated Node #3: [90, 4] from Operation: 376/94=4
Current State: 86:[90, 4], Operations: ['8*47=376', '376/94=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
42,
77,
88,
98
] | 44 | [
"98-77=21",
"42/21=2",
"88/2=44"
] | Current State: 44:[42, 77, 88, 98], Operations: []
Exploring Operation: 98-77=21, Resulting Numbers: [42, 88, 21]
Generated Node #2: [42, 88, 21] from Operation: 98-77=21
Current State: 44:[42, 88, 21], Operations: ['98-77=21']
Exploring Operation: 42/21=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 42/21=2
Current State: 44:[88, 2], Operations: ['98-77=21', '42/21=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
14,
12,
34,
3
] | 16 | [
"34-14=20",
"12*3=36",
"36-20=16"
] | Current State: 16:[14, 12, 34, 3], Operations: []
Exploring Operation: 34-14=20, Resulting Numbers: [12, 3, 20]
Generated Node #2: [12, 3, 20] from Operation: 34-14=20
Current State: 16:[12, 3, 20], Operations: ['34-14=20']
Exploring Operation: 12*3=36, Resulting Numbers: [20, 36]
Generated Node #3: [20, 36] from Operation: 12*3=36
Current State: 16:[20, 36], Operations: ['34-14=20', '12*3=36']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
80,
14,
49,
94
] | 48 | [
"80+14=94",
"94/94=1",
"49-1=48"
] | Current State: 48:[80, 14, 49, 94], Operations: []
Exploring Operation: 80+14=94, Resulting Numbers: [49, 94, 94]
Generated Node #2: [49, 94, 94] from Operation: 80+14=94
Current State: 48:[49, 94, 94], Operations: ['80+14=94']
Exploring Operation: 94/94=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 94/94=1
Current State: 48:[49, 1], Operations: ['80+14=94', '94/94=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
26,
25,
52,
41
] | 92 | [
"26-25=1",
"52+41=93",
"93-1=92"
] | Current State: 92:[26, 25, 52, 41], Operations: []
Exploring Operation: 26-25=1, Resulting Numbers: [52, 41, 1]
Generated Node #2: [52, 41, 1] from Operation: 26-25=1
Current State: 92:[52, 41, 1], Operations: ['26-25=1']
Exploring Operation: 52+41=93, Resulting Numbers: [1, 93]
Generated Node #3: [1, 93] from Operation: 52+41=93
Current State: 92:[1, 93], Operations: ['26-25=1', '52+41=93']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
64,
51,
9,
67
] | 63 | [
"64-51=13",
"9+67=76",
"76-13=63"
] | Current State: 63:[64, 51, 9, 67], Operations: []
Exploring Operation: 64-51=13, Resulting Numbers: [9, 67, 13]
Generated Node #2: [9, 67, 13] from Operation: 64-51=13
Current State: 63:[9, 67, 13], Operations: ['64-51=13']
Exploring Operation: 9+67=76, Resulting Numbers: [13, 76]
Generated Node #3: [13, 76] from Operation: 9+67=76
Current State: 63:[13, 76], Operations: ['64-51=13', '9+67=76']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
65,
15,
26,
68
] | 74 | [
"15*26=390",
"390/65=6",
"68+6=74"
] | Current State: 74:[65, 15, 26, 68], Operations: []
Exploring Operation: 15*26=390, Resulting Numbers: [65, 68, 390]
Generated Node #2: [65, 68, 390] from Operation: 15*26=390
Current State: 74:[65, 68, 390], Operations: ['15*26=390']
Exploring Operation: 390/65=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 390/65=6
Current State: 74:[68, 6], Operations: ['15*26=390', '390/65=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
57,
10,
3,
39
] | 31 | [
"57+10=67",
"39-3=36",
"67-36=31"
] | Current State: 31:[57, 10, 3, 39], Operations: []
Exploring Operation: 57+10=67, Resulting Numbers: [3, 39, 67]
Generated Node #2: [3, 39, 67] from Operation: 57+10=67
Current State: 31:[3, 39, 67], Operations: ['57+10=67']
Exploring Operation: 39-3=36, Resulting Numbers: [67, 36]
Generated Node #3: [67, 36] from Operation: 39-3=36
Current State: 31:[67, 36], Operations: ['57+10=67', '39-3=36']
Exploring Operation: 67-36=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
6,
2,
61,
27
] | 31 | [
"6/2=3",
"61-27=34",
"34-3=31"
] | Current State: 31:[6, 2, 61, 27], Operations: []
Exploring Operation: 6/2=3, Resulting Numbers: [61, 27, 3]
Generated Node #2: [61, 27, 3] from Operation: 6/2=3
Current State: 31:[61, 27, 3], Operations: ['6/2=3']
Exploring Operation: 61-27=34, Resulting Numbers: [3, 34]
Generated Node #3: [3, 34] from Operation: 61-27=34
Current State: 31:[3, 34], Operations: ['6/2=3', '61-27=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
97,
5,
55,
67
] | 80 | [
"97-5=92",
"67-55=12",
"92-12=80"
] | Current State: 80:[97, 5, 55, 67], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [55, 67, 92]
Generated Node #2: [55, 67, 92] from Operation: 97-5=92
Current State: 80:[55, 67, 92], Operations: ['97-5=92']
Exploring Operation: 67-55=12, Resulting Numbers: [92, 12]
Generated Node #3: [92, 12] from Operation: 67-55=12
Current State: 80:[92, 12], Operations: ['97-5=92', '67-55=12']
Exploring Operation: 92-12=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
64,
8,
63
] | 72 | [
"64-8=56",
"63*56=3528",
"3528/49=72"
] | Current State: 72:[49, 64, 8, 63], Operations: []
Exploring Operation: 64-8=56, Resulting Numbers: [49, 63, 56]
Generated Node #2: [49, 63, 56] from Operation: 64-8=56
Current State: 72:[49, 63, 56], Operations: ['64-8=56']
Exploring Operation: 63*56=3528, Resulting Numbers: [49, 3528]
Generated Node #3: [49, 3528] from Operation: 63*56=3528
Current State: 72:[49, 3528], Operations: ['64-8=56', '63*56=3528']
Exploring Operation: 3528/49=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
42,
10,
33,
4
] | 80 | [
"42+10=52",
"33*4=132",
"132-52=80"
] | Current State: 80:[42, 10, 33, 4], Operations: []
Exploring Operation: 42+10=52, Resulting Numbers: [33, 4, 52]
Generated Node #2: [33, 4, 52] from Operation: 42+10=52
Current State: 80:[33, 4, 52], Operations: ['42+10=52']
Exploring Operation: 33*4=132, Resulting Numbers: [52, 132]
Generated Node #3: [52, 132] from Operation: 33*4=132
Current State: 80:[52, 132], Operations: ['42+10=52', '33*4=132']
Exploring Operation: 132-52=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
90,
48,
50,
60
] | 52 | [
"90-48=42",
"60-50=10",
"42+10=52"
] | Current State: 52:[90, 48, 50, 60], Operations: []
Exploring Operation: 90-48=42, Resulting Numbers: [50, 60, 42]
Generated Node #2: [50, 60, 42] from Operation: 90-48=42
Current State: 52:[50, 60, 42], Operations: ['90-48=42']
Exploring Operation: 60-50=10, Resulting Numbers: [42, 10]
Generated Node #3: [42, 10] from Operation: 60-50=10
Current State: 52:[42, 10], Operations: ['90-48=42', '60-50=10']
Exploring Operation: 42+10=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
44,
87,
16,
83
] | 27 | [
"87-83=4",
"44/4=11",
"16+11=27"
] | Current State: 27:[44, 87, 16, 83], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [44, 16, 4]
Generated Node #2: [44, 16, 4] from Operation: 87-83=4
Current State: 27:[44, 16, 4], Operations: ['87-83=4']
Exploring Operation: 44/4=11, Resulting Numbers: [16, 11]
Generated Node #3: [16, 11] from Operation: 44/4=11
Current State: 27:[16, 11], Operations: ['87-83=4', '44/4=11']
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
29,
80,
91,
51
] | 92 | [
"80-29=51",
"51/51=1",
"91+1=92"
] | Current State: 92:[29, 80, 91, 51], Operations: []
Exploring Operation: 80-29=51, Resulting Numbers: [91, 51, 51]
Generated Node #2: [91, 51, 51] from Operation: 80-29=51
Current State: 92:[91, 51, 51], Operations: ['80-29=51']
Exploring Operation: 51/51=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 51/51=1
Current State: 92:[91, 1], Operations: ['80-29=51', '51/51=1']
Exploring Operation: 91+1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
29,
64,
42,
16
] | 61 | [
"64-29=35",
"42-16=26",
"35+26=61"
] | Current State: 61:[29, 64, 42, 16], Operations: []
Exploring Operation: 64-29=35, Resulting Numbers: [42, 16, 35]
Generated Node #2: [42, 16, 35] from Operation: 64-29=35
Current State: 61:[42, 16, 35], Operations: ['64-29=35']
Exploring Operation: 42-16=26, Resulting Numbers: [35, 26]
Generated Node #3: [35, 26] from Operation: 42-16=26
Current State: 61:[35, 26], Operations: ['64-29=35', '42-16=26']
Exploring Operation: 35+26=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
19,
25,
24,
79
] | 98 | [
"19+79=98",
"25-24=1",
"98*1=98"
] | Current State: 98:[19, 25, 24, 79], Operations: []
Exploring Operation: 19+79=98, Resulting Numbers: [25, 24, 98]
Generated Node #2: [25, 24, 98] from Operation: 19+79=98
Current State: 98:[25, 24, 98], Operations: ['19+79=98']
Exploring Operation: 25-24=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 25-24=1
Current State: 98:[98, 1], Operations: ['19+79=98', '25-24=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
96,
7,
93,
57
] | 61 | [
"96-7=89",
"93+57=150",
"150-89=61"
] | Current State: 61:[96, 7, 93, 57], Operations: []
Exploring Operation: 96-7=89, Resulting Numbers: [93, 57, 89]
Generated Node #2: [93, 57, 89] from Operation: 96-7=89
Current State: 61:[93, 57, 89], Operations: ['96-7=89']
Exploring Operation: 93+57=150, Resulting Numbers: [89, 150]
Generated Node #3: [89, 150] from Operation: 93+57=150
Current State: 61:[89, 150], Operations: ['96-7=89', '93+57=150']
Exploring Operation: 150-89=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
5,
10,
29,
8
] | 55 | [
"29-10=19",
"19-8=11",
"5*11=55"
] | Current State: 55:[5, 10, 29, 8], Operations: []
Exploring Operation: 29-10=19, Resulting Numbers: [5, 8, 19]
Generated Node #2: [5, 8, 19] from Operation: 29-10=19
Current State: 55:[5, 8, 19], Operations: ['29-10=19']
Exploring Operation: 19-8=11, Resulting Numbers: [5, 11]
Generated Node #3: [5, 11] from Operation: 19-8=11
Current State: 55:[5, 11], Operations: ['29-10=19', '19-8=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
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