nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
14,
72,
17,
6
] | 43 | [
"14+17=31",
"72/6=12",
"31+12=43"
] | Current State: 43:[14, 72, 17, 6], Operations: []
Exploring Operation: 14+17=31, Resulting Numbers: [72, 6, 31]
Generated Node #2: [72, 6, 31] from Operation: 14+17=31
Current State: 43:[72, 6, 31], Operations: ['14+17=31']
Exploring Operation: 72/6=12, Resulting Numbers: [31, 12]
Generated Node #3: [31, 12] from Operation: 72/6=12
Current State: 43:[31, 12], Operations: ['14+17=31', '72/6=12']
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
97,
67,
84,
37
] | 82 | [
"97+37=134",
"134/67=2",
"84-2=82"
] | Current State: 82:[97, 67, 84, 37], Operations: []
Exploring Operation: 97+37=134, Resulting Numbers: [67, 84, 134]
Generated Node #2: [67, 84, 134] from Operation: 97+37=134
Current State: 82:[67, 84, 134], Operations: ['97+37=134']
Exploring Operation: 134/67=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 134/67=2
Current State: 82:[84, 2], Operations: ['97+37=134', '134/67=2']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
99,
65,
25,
96
] | 22 | [
"99+96=195",
"195/65=3",
"25-3=22"
] | Current State: 22:[99, 65, 25, 96], Operations: []
Exploring Operation: 99+96=195, Resulting Numbers: [65, 25, 195]
Generated Node #2: [65, 25, 195] from Operation: 99+96=195
Current State: 22:[65, 25, 195], Operations: ['99+96=195']
Exploring Operation: 195/65=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 195/65=3
Current State: 22:[25, 3], Operations: ['99+96=195', '195/65=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
8,
31,
41,
98
] | 33 | [
"8+41=49",
"98/49=2",
"31+2=33"
] | Current State: 33:[8, 31, 41, 98], Operations: []
Exploring Operation: 8+41=49, Resulting Numbers: [31, 98, 49]
Generated Node #2: [31, 98, 49] from Operation: 8+41=49
Current State: 33:[31, 98, 49], Operations: ['8+41=49']
Exploring Operation: 98/49=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 98/49=2
Current State: 33:[31, 2], Operations: ['8+41=49', '98/49=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
90,
9,
21,
1
] | 11 | [
"90/9=10",
"21*1=21",
"21-10=11"
] | Current State: 11:[90, 9, 21, 1], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [21, 1, 10]
Generated Node #2: [21, 1, 10] from Operation: 90/9=10
Current State: 11:[21, 1, 10], Operations: ['90/9=10']
Exploring Operation: 21*1=21, Resulting Numbers: [10, 21]
Generated Node #3: [10, 21] from Operation: 21*1=21
Current State: 11:[10, 21], Operations: ['90/9=10', '21*1=21']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
48,
41,
61,
2
] | 47 | [
"48-41=7",
"2*7=14",
"61-14=47"
] | Current State: 47:[48, 41, 61, 2], Operations: []
Exploring Operation: 48-41=7, Resulting Numbers: [61, 2, 7]
Generated Node #2: [61, 2, 7] from Operation: 48-41=7
Current State: 47:[61, 2, 7], Operations: ['48-41=7']
Exploring Operation: 2*7=14, Resulting Numbers: [61, 14]
Generated Node #3: [61, 14] from Operation: 2*7=14
Current State: 47:[61, 14], Operations: ['48-41=7', '2*7=14']
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
45,
90,
91,
86
] | 89 | [
"90-86=4",
"45*4=180",
"180-91=89"
] | Current State: 89:[45, 90, 91, 86], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [45, 91, 4]
Generated Node #2: [45, 91, 4] from Operation: 90-86=4
Current State: 89:[45, 91, 4], Operations: ['90-86=4']
Exploring Operation: 45*4=180, Resulting Numbers: [91, 180]
Generated Node #3: [91, 180] from Operation: 45*4=180
Current State: 89:[91, 180], Operations: ['90-86=4', '45*4=180']
Exploring Operation: 180-91=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
84,
63,
7,
48
] | 98 | [
"63-7=56",
"84*56=4704",
"4704/48=98"
] | Current State: 98:[84, 63, 7, 48], Operations: []
Exploring Operation: 63-7=56, Resulting Numbers: [84, 48, 56]
Generated Node #2: [84, 48, 56] from Operation: 63-7=56
Current State: 98:[84, 48, 56], Operations: ['63-7=56']
Exploring Operation: 84*56=4704, Resulting Numbers: [48, 4704]
Generated Node #3: [48, 4704] from Operation: 84*56=4704
Current State: 98:[48, 4704], Operations: ['63-7=56', '84*56=4704']
Exploring Operation: 4704/48=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
16,
32,
24,
8
] | 17 | [
"32-24=8",
"8/8=1",
"16+1=17"
] | Current State: 17:[16, 32, 24, 8], Operations: []
Exploring Operation: 32-24=8, Resulting Numbers: [16, 8, 8]
Generated Node #2: [16, 8, 8] from Operation: 32-24=8
Current State: 17:[16, 8, 8], Operations: ['32-24=8']
Exploring Operation: 8/8=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 8/8=1
Current State: 17:[16, 1], Operations: ['32-24=8', '8/8=1']
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
87,
4,
66,
32
] | 44 | [
"87-66=21",
"32-21=11",
"4*11=44"
] | Current State: 44:[87, 4, 66, 32], Operations: []
Exploring Operation: 87-66=21, Resulting Numbers: [4, 32, 21]
Generated Node #2: [4, 32, 21] from Operation: 87-66=21
Current State: 44:[4, 32, 21], Operations: ['87-66=21']
Exploring Operation: 32-21=11, Resulting Numbers: [4, 11]
Generated Node #3: [4, 11] from Operation: 32-21=11
Current State: 44:[4, 11], Operations: ['87-66=21', '32-21=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
1,
35,
6,
15
] | 85 | [
"35-1=34",
"15*34=510",
"510/6=85"
] | Current State: 85:[1, 35, 6, 15], Operations: []
Exploring Operation: 35-1=34, Resulting Numbers: [6, 15, 34]
Generated Node #2: [6, 15, 34] from Operation: 35-1=34
Current State: 85:[6, 15, 34], Operations: ['35-1=34']
Exploring Operation: 15*34=510, Resulting Numbers: [6, 510]
Generated Node #3: [6, 510] from Operation: 15*34=510
Current State: 85:[6, 510], Operations: ['35-1=34', '15*34=510']
Exploring Operation: 510/6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
66,
5,
89,
35
] | 16 | [
"89-66=23",
"35/5=7",
"23-7=16"
] | Current State: 16:[66, 5, 89, 35], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [5, 35, 23]
Generated Node #2: [5, 35, 23] from Operation: 89-66=23
Current State: 16:[5, 35, 23], Operations: ['89-66=23']
Exploring Operation: 35/5=7, Resulting Numbers: [23, 7]
Generated Node #3: [23, 7] from Operation: 35/5=7
Current State: 16:[23, 7], Operations: ['89-66=23', '35/5=7']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
84,
48,
6,
12
] | 92 | [
"12-6=6",
"48/6=8",
"84+8=92"
] | Current State: 92:[84, 48, 6, 12], Operations: []
Exploring Operation: 12-6=6, Resulting Numbers: [84, 48, 6]
Generated Node #2: [84, 48, 6] from Operation: 12-6=6
Current State: 92:[84, 48, 6], Operations: ['12-6=6']
Exploring Operation: 48/6=8, Resulting Numbers: [84, 8]
Generated Node #3: [84, 8] from Operation: 48/6=8
Current State: 92:[84, 8], Operations: ['12-6=6', '48/6=8']
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
13,
2,
34,
53
] | 37 | [
"34-13=21",
"53+21=74",
"74/2=37"
] | Current State: 37:[13, 2, 34, 53], Operations: []
Exploring Operation: 34-13=21, Resulting Numbers: [2, 53, 21]
Generated Node #2: [2, 53, 21] from Operation: 34-13=21
Current State: 37:[2, 53, 21], Operations: ['34-13=21']
Exploring Operation: 53+21=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 53+21=74
Current State: 37:[2, 74], Operations: ['34-13=21', '53+21=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
17,
85,
97,
36
] | 31 | [
"17+85=102",
"97+36=133",
"133-102=31"
] | Current State: 31:[17, 85, 97, 36], Operations: []
Exploring Operation: 17+85=102, Resulting Numbers: [97, 36, 102]
Generated Node #2: [97, 36, 102] from Operation: 17+85=102
Current State: 31:[97, 36, 102], Operations: ['17+85=102']
Exploring Operation: 97+36=133, Resulting Numbers: [102, 133]
Generated Node #3: [102, 133] from Operation: 97+36=133
Current State: 31:[102, 133], Operations: ['17+85=102', '97+36=133']
Exploring Operation: 133-102=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
53,
63,
53,
94
] | 32 | [
"53/53=1",
"94-63=31",
"1+31=32"
] | Current State: 32:[53, 63, 53, 94], Operations: []
Exploring Operation: 53/53=1, Resulting Numbers: [63, 94, 1]
Generated Node #2: [63, 94, 1] from Operation: 53/53=1
Current State: 32:[63, 94, 1], Operations: ['53/53=1']
Exploring Operation: 94-63=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 94-63=31
Current State: 32:[1, 31], Operations: ['53/53=1', '94-63=31']
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
40,
57,
27,
30
] | 74 | [
"57-40=17",
"27+30=57",
"17+57=74"
] | Current State: 74:[40, 57, 27, 30], Operations: []
Exploring Operation: 57-40=17, Resulting Numbers: [27, 30, 17]
Generated Node #2: [27, 30, 17] from Operation: 57-40=17
Current State: 74:[27, 30, 17], Operations: ['57-40=17']
Exploring Operation: 27+30=57, Resulting Numbers: [17, 57]
Generated Node #3: [17, 57] from Operation: 27+30=57
Current State: 74:[17, 57], Operations: ['57-40=17', '27+30=57']
Exploring Operation: 17+57=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
71,
67,
57,
54
] | 47 | [
"57*54=3078",
"71+3078=3149",
"3149/67=47"
] | Current State: 47:[71, 67, 57, 54], Operations: []
Exploring Operation: 57*54=3078, Resulting Numbers: [71, 67, 3078]
Generated Node #2: [71, 67, 3078] from Operation: 57*54=3078
Current State: 47:[71, 67, 3078], Operations: ['57*54=3078']
Exploring Operation: 71+3078=3149, Resulting Numbers: [67, 3149]
Generated Node #3: [67, 3149] from Operation: 71+3078=3149
Current State: 47:[67, 3149], Operations: ['57*54=3078', '71+3078=3149']
Exploring Operation: 3149/67=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
20,
34,
14,
19
] | 66 | [
"19-14=5",
"20*5=100",
"100-34=66"
] | Current State: 66:[20, 34, 14, 19], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [20, 34, 5]
Generated Node #2: [20, 34, 5] from Operation: 19-14=5
Current State: 66:[20, 34, 5], Operations: ['19-14=5']
Exploring Operation: 20*5=100, Resulting Numbers: [34, 100]
Generated Node #3: [34, 100] from Operation: 20*5=100
Current State: 66:[34, 100], Operations: ['19-14=5', '20*5=100']
Exploring Operation: 100-34=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
22,
6,
94,
4
] | 97 | [
"22-4=18",
"18/6=3",
"94+3=97"
] | Current State: 97:[22, 6, 94, 4], Operations: []
Exploring Operation: 22-4=18, Resulting Numbers: [6, 94, 18]
Generated Node #2: [6, 94, 18] from Operation: 22-4=18
Current State: 97:[6, 94, 18], Operations: ['22-4=18']
Exploring Operation: 18/6=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 18/6=3
Current State: 97:[94, 3], Operations: ['22-4=18', '18/6=3']
Exploring Operation: 94+3=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
1,
82,
3,
34
] | 50 | [
"82-1=81",
"34-3=31",
"81-31=50"
] | Current State: 50:[1, 82, 3, 34], Operations: []
Exploring Operation: 82-1=81, Resulting Numbers: [3, 34, 81]
Generated Node #2: [3, 34, 81] from Operation: 82-1=81
Current State: 50:[3, 34, 81], Operations: ['82-1=81']
Exploring Operation: 34-3=31, Resulting Numbers: [81, 31]
Generated Node #3: [81, 31] from Operation: 34-3=31
Current State: 50:[81, 31], Operations: ['82-1=81', '34-3=31']
Exploring Operation: 81-31=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
8,
16,
64,
75
] | 73 | [
"8*16=128",
"128/64=2",
"75-2=73"
] | Current State: 73:[8, 16, 64, 75], Operations: []
Exploring Operation: 8*16=128, Resulting Numbers: [64, 75, 128]
Generated Node #2: [64, 75, 128] from Operation: 8*16=128
Current State: 73:[64, 75, 128], Operations: ['8*16=128']
Exploring Operation: 128/64=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 128/64=2
Current State: 73:[75, 2], Operations: ['8*16=128', '128/64=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
76,
29,
61,
63
] | 94 | [
"76-29=47",
"63-61=2",
"47*2=94"
] | Current State: 94:[76, 29, 61, 63], Operations: []
Exploring Operation: 76-29=47, Resulting Numbers: [61, 63, 47]
Generated Node #2: [61, 63, 47] from Operation: 76-29=47
Current State: 94:[61, 63, 47], Operations: ['76-29=47']
Exploring Operation: 63-61=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 63-61=2
Current State: 94:[47, 2], Operations: ['76-29=47', '63-61=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
35,
36,
57,
39
] | 95 | [
"36-35=1",
"57+39=96",
"96-1=95"
] | Current State: 95:[35, 36, 57, 39], Operations: []
Exploring Operation: 36-35=1, Resulting Numbers: [57, 39, 1]
Generated Node #2: [57, 39, 1] from Operation: 36-35=1
Current State: 95:[57, 39, 1], Operations: ['36-35=1']
Exploring Operation: 57+39=96, Resulting Numbers: [1, 96]
Generated Node #3: [1, 96] from Operation: 57+39=96
Current State: 95:[1, 96], Operations: ['36-35=1', '57+39=96']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
84,
4,
49,
56
] | 95 | [
"84+4=88",
"56-49=7",
"88+7=95"
] | Current State: 95:[84, 4, 49, 56], Operations: []
Exploring Operation: 84+4=88, Resulting Numbers: [49, 56, 88]
Generated Node #2: [49, 56, 88] from Operation: 84+4=88
Current State: 95:[49, 56, 88], Operations: ['84+4=88']
Exploring Operation: 56-49=7, Resulting Numbers: [88, 7]
Generated Node #3: [88, 7] from Operation: 56-49=7
Current State: 95:[88, 7], Operations: ['84+4=88', '56-49=7']
Exploring Operation: 88+7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
19,
1,
41,
34
] | 95 | [
"19+1=20",
"41+34=75",
"20+75=95"
] | Current State: 95:[19, 1, 41, 34], Operations: []
Exploring Operation: 19+1=20, Resulting Numbers: [41, 34, 20]
Generated Node #2: [41, 34, 20] from Operation: 19+1=20
Current State: 95:[41, 34, 20], Operations: ['19+1=20']
Exploring Operation: 41+34=75, Resulting Numbers: [20, 75]
Generated Node #3: [20, 75] from Operation: 41+34=75
Current State: 95:[20, 75], Operations: ['19+1=20', '41+34=75']
Exploring Operation: 20+75=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
8,
56,
12,
51
] | 33 | [
"56/8=7",
"12*7=84",
"84-51=33"
] | Current State: 33:[8, 56, 12, 51], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [12, 51, 7]
Generated Node #2: [12, 51, 7] from Operation: 56/8=7
Current State: 33:[12, 51, 7], Operations: ['56/8=7']
Exploring Operation: 12*7=84, Resulting Numbers: [51, 84]
Generated Node #3: [51, 84] from Operation: 12*7=84
Current State: 33:[51, 84], Operations: ['56/8=7', '12*7=84']
Exploring Operation: 84-51=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
28,
74,
90,
50
] | 38 | [
"28+74=102",
"90+50=140",
"140-102=38"
] | Current State: 38:[28, 74, 90, 50], Operations: []
Exploring Operation: 28+74=102, Resulting Numbers: [90, 50, 102]
Generated Node #2: [90, 50, 102] from Operation: 28+74=102
Current State: 38:[90, 50, 102], Operations: ['28+74=102']
Exploring Operation: 90+50=140, Resulting Numbers: [102, 140]
Generated Node #3: [102, 140] from Operation: 90+50=140
Current State: 38:[102, 140], Operations: ['28+74=102', '90+50=140']
Exploring Operation: 140-102=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
94,
23,
4,
2
] | 79 | [
"94-23=71",
"4*2=8",
"71+8=79"
] | Current State: 79:[94, 23, 4, 2], Operations: []
Exploring Operation: 94-23=71, Resulting Numbers: [4, 2, 71]
Generated Node #2: [4, 2, 71] from Operation: 94-23=71
Current State: 79:[4, 2, 71], Operations: ['94-23=71']
Exploring Operation: 4*2=8, Resulting Numbers: [71, 8]
Generated Node #3: [71, 8] from Operation: 4*2=8
Current State: 79:[71, 8], Operations: ['94-23=71', '4*2=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
57,
86,
82,
17
] | 94 | [
"86-57=29",
"82-17=65",
"29+65=94"
] | Current State: 94:[57, 86, 82, 17], Operations: []
Exploring Operation: 86-57=29, Resulting Numbers: [82, 17, 29]
Generated Node #2: [82, 17, 29] from Operation: 86-57=29
Current State: 94:[82, 17, 29], Operations: ['86-57=29']
Exploring Operation: 82-17=65, Resulting Numbers: [29, 65]
Generated Node #3: [29, 65] from Operation: 82-17=65
Current State: 94:[29, 65], Operations: ['86-57=29', '82-17=65']
Exploring Operation: 29+65=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
21,
91,
80,
18
] | 33 | [
"21-18=3",
"91-80=11",
"3*11=33"
] | Current State: 33:[21, 91, 80, 18], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [91, 80, 3]
Generated Node #2: [91, 80, 3] from Operation: 21-18=3
Current State: 33:[91, 80, 3], Operations: ['21-18=3']
Exploring Operation: 91-80=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 91-80=11
Current State: 33:[3, 11], Operations: ['21-18=3', '91-80=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
94,
22,
33,
5
] | 44 | [
"94-22=72",
"33-5=28",
"72-28=44"
] | Current State: 44:[94, 22, 33, 5], Operations: []
Exploring Operation: 94-22=72, Resulting Numbers: [33, 5, 72]
Generated Node #2: [33, 5, 72] from Operation: 94-22=72
Current State: 44:[33, 5, 72], Operations: ['94-22=72']
Exploring Operation: 33-5=28, Resulting Numbers: [72, 28]
Generated Node #3: [72, 28] from Operation: 33-5=28
Current State: 44:[72, 28], Operations: ['94-22=72', '33-5=28']
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
54,
33,
25,
47
] | 43 | [
"54-33=21",
"47-25=22",
"21+22=43"
] | Current State: 43:[54, 33, 25, 47], Operations: []
Exploring Operation: 54-33=21, Resulting Numbers: [25, 47, 21]
Generated Node #2: [25, 47, 21] from Operation: 54-33=21
Current State: 43:[25, 47, 21], Operations: ['54-33=21']
Exploring Operation: 47-25=22, Resulting Numbers: [21, 22]
Generated Node #3: [21, 22] from Operation: 47-25=22
Current State: 43:[21, 22], Operations: ['54-33=21', '47-25=22']
Exploring Operation: 21+22=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
35,
6,
72,
44
] | 18 | [
"44-35=9",
"6*9=54",
"72-54=18"
] | Current State: 18:[35, 6, 72, 44], Operations: []
Exploring Operation: 44-35=9, Resulting Numbers: [6, 72, 9]
Generated Node #2: [6, 72, 9] from Operation: 44-35=9
Current State: 18:[6, 72, 9], Operations: ['44-35=9']
Exploring Operation: 6*9=54, Resulting Numbers: [72, 54]
Generated Node #3: [72, 54] from Operation: 6*9=54
Current State: 18:[72, 54], Operations: ['44-35=9', '6*9=54']
Exploring Operation: 72-54=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
33,
98,
21,
13
] | 57 | [
"98-33=65",
"21-13=8",
"65-8=57"
] | Current State: 57:[33, 98, 21, 13], Operations: []
Exploring Operation: 98-33=65, Resulting Numbers: [21, 13, 65]
Generated Node #2: [21, 13, 65] from Operation: 98-33=65
Current State: 57:[21, 13, 65], Operations: ['98-33=65']
Exploring Operation: 21-13=8, Resulting Numbers: [65, 8]
Generated Node #3: [65, 8] from Operation: 21-13=8
Current State: 57:[65, 8], Operations: ['98-33=65', '21-13=8']
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
28,
2,
17,
18
] | 98 | [
"17+18=35",
"2*35=70",
"28+70=98"
] | Current State: 98:[28, 2, 17, 18], Operations: []
Exploring Operation: 17+18=35, Resulting Numbers: [28, 2, 35]
Generated Node #2: [28, 2, 35] from Operation: 17+18=35
Current State: 98:[28, 2, 35], Operations: ['17+18=35']
Exploring Operation: 2*35=70, Resulting Numbers: [28, 70]
Generated Node #3: [28, 70] from Operation: 2*35=70
Current State: 98:[28, 70], Operations: ['17+18=35', '2*35=70']
Exploring Operation: 28+70=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
49,
99,
7,
28
] | 29 | [
"99-49=50",
"28-7=21",
"50-21=29"
] | Current State: 29:[49, 99, 7, 28], Operations: []
Exploring Operation: 99-49=50, Resulting Numbers: [7, 28, 50]
Generated Node #2: [7, 28, 50] from Operation: 99-49=50
Current State: 29:[7, 28, 50], Operations: ['99-49=50']
Exploring Operation: 28-7=21, Resulting Numbers: [50, 21]
Generated Node #3: [50, 21] from Operation: 28-7=21
Current State: 29:[50, 21], Operations: ['99-49=50', '28-7=21']
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
32,
82,
41,
17
] | 81 | [
"32*82=2624",
"2624/41=64",
"17+64=81"
] | Current State: 81:[32, 82, 41, 17], Operations: []
Exploring Operation: 32*82=2624, Resulting Numbers: [41, 17, 2624]
Generated Node #2: [41, 17, 2624] from Operation: 32*82=2624
Current State: 81:[41, 17, 2624], Operations: ['32*82=2624']
Exploring Operation: 2624/41=64, Resulting Numbers: [17, 64]
Generated Node #3: [17, 64] from Operation: 2624/41=64
Current State: 81:[17, 64], Operations: ['32*82=2624', '2624/41=64']
Exploring Operation: 17+64=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
22,
33,
19,
15
] | 100 | [
"22-15=7",
"19*7=133",
"133-33=100"
] | Current State: 100:[22, 33, 19, 15], Operations: []
Exploring Operation: 22-15=7, Resulting Numbers: [33, 19, 7]
Generated Node #2: [33, 19, 7] from Operation: 22-15=7
Current State: 100:[33, 19, 7], Operations: ['22-15=7']
Exploring Operation: 19*7=133, Resulting Numbers: [33, 133]
Generated Node #3: [33, 133] from Operation: 19*7=133
Current State: 100:[33, 133], Operations: ['22-15=7', '19*7=133']
Exploring Operation: 133-33=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
76,
19,
4,
80
] | 35 | [
"80-76=4",
"4*4=16",
"19+16=35"
] | Current State: 35:[76, 19, 4, 80], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [19, 4, 4]
Generated Node #2: [19, 4, 4] from Operation: 80-76=4
Current State: 35:[19, 4, 4], Operations: ['80-76=4']
Exploring Operation: 4*4=16, Resulting Numbers: [19, 16]
Generated Node #3: [19, 16] from Operation: 4*4=16
Current State: 35:[19, 16], Operations: ['80-76=4', '4*4=16']
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
56,
1,
25,
53
] | 23 | [
"56-1=55",
"25+53=78",
"78-55=23"
] | Current State: 23:[56, 1, 25, 53], Operations: []
Exploring Operation: 56-1=55, Resulting Numbers: [25, 53, 55]
Generated Node #2: [25, 53, 55] from Operation: 56-1=55
Current State: 23:[25, 53, 55], Operations: ['56-1=55']
Exploring Operation: 25+53=78, Resulting Numbers: [55, 78]
Generated Node #3: [55, 78] from Operation: 25+53=78
Current State: 23:[55, 78], Operations: ['56-1=55', '25+53=78']
Exploring Operation: 78-55=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
60,
11,
81,
94
] | 30 | [
"11+81=92",
"94-92=2",
"60/2=30"
] | Current State: 30:[60, 11, 81, 94], Operations: []
Exploring Operation: 11+81=92, Resulting Numbers: [60, 94, 92]
Generated Node #2: [60, 94, 92] from Operation: 11+81=92
Current State: 30:[60, 94, 92], Operations: ['11+81=92']
Exploring Operation: 94-92=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 94-92=2
Current State: 30:[60, 2], Operations: ['11+81=92', '94-92=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
91,
92,
35,
60
] | 25 | [
"92-91=1",
"60-35=25",
"1*25=25"
] | Current State: 25:[91, 92, 35, 60], Operations: []
Exploring Operation: 92-91=1, Resulting Numbers: [35, 60, 1]
Generated Node #2: [35, 60, 1] from Operation: 92-91=1
Current State: 25:[35, 60, 1], Operations: ['92-91=1']
Exploring Operation: 60-35=25, Resulting Numbers: [1, 25]
Generated Node #3: [1, 25] from Operation: 60-35=25
Current State: 25:[1, 25], Operations: ['92-91=1', '60-35=25']
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
3,
60,
55,
35
] | 21 | [
"3*35=105",
"60-55=5",
"105/5=21"
] | Current State: 21:[3, 60, 55, 35], Operations: []
Exploring Operation: 3*35=105, Resulting Numbers: [60, 55, 105]
Generated Node #2: [60, 55, 105] from Operation: 3*35=105
Current State: 21:[60, 55, 105], Operations: ['3*35=105']
Exploring Operation: 60-55=5, Resulting Numbers: [105, 5]
Generated Node #3: [105, 5] from Operation: 60-55=5
Current State: 21:[105, 5], Operations: ['3*35=105', '60-55=5']
Exploring Operation: 105/5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
41,
82,
75,
86
] | 32 | [
"82/41=2",
"86/2=43",
"75-43=32"
] | Current State: 32:[41, 82, 75, 86], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [75, 86, 2]
Generated Node #2: [75, 86, 2] from Operation: 82/41=2
Current State: 32:[75, 86, 2], Operations: ['82/41=2']
Exploring Operation: 86/2=43, Resulting Numbers: [75, 43]
Generated Node #3: [75, 43] from Operation: 86/2=43
Current State: 32:[75, 43], Operations: ['82/41=2', '86/2=43']
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
6,
92,
88,
4
] | 39 | [
"92+88=180",
"180/4=45",
"45-6=39"
] | Current State: 39:[6, 92, 88, 4], Operations: []
Exploring Operation: 92+88=180, Resulting Numbers: [6, 4, 180]
Generated Node #2: [6, 4, 180] from Operation: 92+88=180
Current State: 39:[6, 4, 180], Operations: ['92+88=180']
Exploring Operation: 180/4=45, Resulting Numbers: [6, 45]
Generated Node #3: [6, 45] from Operation: 180/4=45
Current State: 39:[6, 45], Operations: ['92+88=180', '180/4=45']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
58,
16,
7,
92
] | 98 | [
"58-16=42",
"42/7=6",
"92+6=98"
] | Current State: 98:[58, 16, 7, 92], Operations: []
Exploring Operation: 58-16=42, Resulting Numbers: [7, 92, 42]
Generated Node #2: [7, 92, 42] from Operation: 58-16=42
Current State: 98:[7, 92, 42], Operations: ['58-16=42']
Exploring Operation: 42/7=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 42/7=6
Current State: 98:[92, 6], Operations: ['58-16=42', '42/7=6']
Exploring Operation: 92+6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
17,
7,
2,
54
] | 88 | [
"17-7=10",
"54-10=44",
"2*44=88"
] | Current State: 88:[17, 7, 2, 54], Operations: []
Exploring Operation: 17-7=10, Resulting Numbers: [2, 54, 10]
Generated Node #2: [2, 54, 10] from Operation: 17-7=10
Current State: 88:[2, 54, 10], Operations: ['17-7=10']
Exploring Operation: 54-10=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 54-10=44
Current State: 88:[2, 44], Operations: ['17-7=10', '54-10=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
76,
66,
29,
55
] | 44 | [
"76*55=4180",
"66+29=95",
"4180/95=44"
] | Current State: 44:[76, 66, 29, 55], Operations: []
Exploring Operation: 76*55=4180, Resulting Numbers: [66, 29, 4180]
Generated Node #2: [66, 29, 4180] from Operation: 76*55=4180
Current State: 44:[66, 29, 4180], Operations: ['76*55=4180']
Exploring Operation: 66+29=95, Resulting Numbers: [4180, 95]
Generated Node #3: [4180, 95] from Operation: 66+29=95
Current State: 44:[4180, 95], Operations: ['76*55=4180', '66+29=95']
Exploring Operation: 4180/95=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
27,
81,
2,
72
] | 12 | [
"81/27=3",
"72/2=36",
"36/3=12"
] | Current State: 12:[27, 81, 2, 72], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [2, 72, 3]
Generated Node #2: [2, 72, 3] from Operation: 81/27=3
Current State: 12:[2, 72, 3], Operations: ['81/27=3']
Exploring Operation: 72/2=36, Resulting Numbers: [3, 36]
Generated Node #3: [3, 36] from Operation: 72/2=36
Current State: 12:[3, 36], Operations: ['81/27=3', '72/2=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
39,
30,
32,
5
] | 36 | [
"39-30=9",
"32-5=27",
"9+27=36"
] | Current State: 36:[39, 30, 32, 5], Operations: []
Exploring Operation: 39-30=9, Resulting Numbers: [32, 5, 9]
Generated Node #2: [32, 5, 9] from Operation: 39-30=9
Current State: 36:[32, 5, 9], Operations: ['39-30=9']
Exploring Operation: 32-5=27, Resulting Numbers: [9, 27]
Generated Node #3: [9, 27] from Operation: 32-5=27
Current State: 36:[9, 27], Operations: ['39-30=9', '32-5=27']
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
14,
13,
40,
18
] | 60 | [
"14+13=27",
"40*27=1080",
"1080/18=60"
] | Current State: 60:[14, 13, 40, 18], Operations: []
Exploring Operation: 14+13=27, Resulting Numbers: [40, 18, 27]
Generated Node #2: [40, 18, 27] from Operation: 14+13=27
Current State: 60:[40, 18, 27], Operations: ['14+13=27']
Exploring Operation: 40*27=1080, Resulting Numbers: [18, 1080]
Generated Node #3: [18, 1080] from Operation: 40*27=1080
Current State: 60:[18, 1080], Operations: ['14+13=27', '40*27=1080']
Exploring Operation: 1080/18=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
17,
17,
45,
8
] | 85 | [
"17*45=765",
"17-8=9",
"765/9=85"
] | Current State: 85:[17, 17, 45, 8], Operations: []
Exploring Operation: 17*45=765, Resulting Numbers: [8, 765]
Generated Node #2: [8, 765] from Operation: 17*45=765
Current State: 85:[8, 765], Operations: ['17*45=765']
Exploring Operation: 17-8=9, Resulting Numbers: [765, 9]
Generated Node #3: [765, 9] from Operation: 17-8=9
Current State: 85:[765, 9], Operations: ['17*45=765', '17-8=9']
Exploring Operation: 765/9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
26,
81,
30,
95
] | 40 | [
"26*95=2470",
"81*30=2430",
"2470-2430=40"
] | Current State: 40:[26, 81, 30, 95], Operations: []
Exploring Operation: 26*95=2470, Resulting Numbers: [81, 30, 2470]
Generated Node #2: [81, 30, 2470] from Operation: 26*95=2470
Current State: 40:[81, 30, 2470], Operations: ['26*95=2470']
Exploring Operation: 81*30=2430, Resulting Numbers: [2470, 2430]
Generated Node #3: [2470, 2430] from Operation: 81*30=2430
Current State: 40:[2470, 2430], Operations: ['26*95=2470', '81*30=2430']
Exploring Operation: 2470-2430=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
72,
56,
4,
4
] | 17 | [
"72-56=16",
"4/4=1",
"16+1=17"
] | Current State: 17:[72, 56, 4, 4], Operations: []
Exploring Operation: 72-56=16, Resulting Numbers: [4, 4, 16]
Generated Node #2: [4, 4, 16] from Operation: 72-56=16
Current State: 17:[4, 4, 16], Operations: ['72-56=16']
Exploring Operation: 4/4=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 4/4=1
Current State: 17:[16, 1], Operations: ['72-56=16', '4/4=1']
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
3,
98,
51,
52
] | 89 | [
"98-51=47",
"3*47=141",
"141-52=89"
] | Current State: 89:[3, 98, 51, 52], Operations: []
Exploring Operation: 98-51=47, Resulting Numbers: [3, 52, 47]
Generated Node #2: [3, 52, 47] from Operation: 98-51=47
Current State: 89:[3, 52, 47], Operations: ['98-51=47']
Exploring Operation: 3*47=141, Resulting Numbers: [52, 141]
Generated Node #3: [52, 141] from Operation: 3*47=141
Current State: 89:[52, 141], Operations: ['98-51=47', '3*47=141']
Exploring Operation: 141-52=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
51,
61,
48,
2
] | 43 | [
"61-51=10",
"10/2=5",
"48-5=43"
] | Current State: 43:[51, 61, 48, 2], Operations: []
Exploring Operation: 61-51=10, Resulting Numbers: [48, 2, 10]
Generated Node #2: [48, 2, 10] from Operation: 61-51=10
Current State: 43:[48, 2, 10], Operations: ['61-51=10']
Exploring Operation: 10/2=5, Resulting Numbers: [48, 5]
Generated Node #3: [48, 5] from Operation: 10/2=5
Current State: 43:[48, 5], Operations: ['61-51=10', '10/2=5']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
25,
56,
28,
72
] | 48 | [
"28-25=3",
"72-56=16",
"3*16=48"
] | Current State: 48:[25, 56, 28, 72], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [56, 72, 3]
Generated Node #2: [56, 72, 3] from Operation: 28-25=3
Current State: 48:[56, 72, 3], Operations: ['28-25=3']
Exploring Operation: 72-56=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 72-56=16
Current State: 48:[3, 16], Operations: ['28-25=3', '72-56=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
9,
3,
30,
11
] | 14 | [
"9*3=27",
"30+11=41",
"41-27=14"
] | Current State: 14:[9, 3, 30, 11], Operations: []
Exploring Operation: 9*3=27, Resulting Numbers: [30, 11, 27]
Generated Node #2: [30, 11, 27] from Operation: 9*3=27
Current State: 14:[30, 11, 27], Operations: ['9*3=27']
Exploring Operation: 30+11=41, Resulting Numbers: [27, 41]
Generated Node #3: [27, 41] from Operation: 30+11=41
Current State: 14:[27, 41], Operations: ['9*3=27', '30+11=41']
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
5,
98,
18,
21
] | 49 | [
"5+18=23",
"23-21=2",
"98/2=49"
] | Current State: 49:[5, 98, 18, 21], Operations: []
Exploring Operation: 5+18=23, Resulting Numbers: [98, 21, 23]
Generated Node #2: [98, 21, 23] from Operation: 5+18=23
Current State: 49:[98, 21, 23], Operations: ['5+18=23']
Exploring Operation: 23-21=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 23-21=2
Current State: 49:[98, 2], Operations: ['5+18=23', '23-21=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
17,
17,
6,
61
] | 89 | [
"17+17=34",
"61-6=55",
"34+55=89"
] | Current State: 89:[17, 17, 6, 61], Operations: []
Exploring Operation: 17+17=34, Resulting Numbers: [6, 61, 34]
Generated Node #2: [6, 61, 34] from Operation: 17+17=34
Current State: 89:[6, 61, 34], Operations: ['17+17=34']
Exploring Operation: 61-6=55, Resulting Numbers: [34, 55]
Generated Node #3: [34, 55] from Operation: 61-6=55
Current State: 89:[34, 55], Operations: ['17+17=34', '61-6=55']
Exploring Operation: 34+55=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
38,
46,
56,
94
] | 87 | [
"46-38=8",
"56/8=7",
"94-7=87"
] | Current State: 87:[38, 46, 56, 94], Operations: []
Exploring Operation: 46-38=8, Resulting Numbers: [56, 94, 8]
Generated Node #2: [56, 94, 8] from Operation: 46-38=8
Current State: 87:[56, 94, 8], Operations: ['46-38=8']
Exploring Operation: 56/8=7, Resulting Numbers: [94, 7]
Generated Node #3: [94, 7] from Operation: 56/8=7
Current State: 87:[94, 7], Operations: ['46-38=8', '56/8=7']
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
15,
63,
9,
14
] | 25 | [
"63-15=48",
"9+14=23",
"48-23=25"
] | Current State: 25:[15, 63, 9, 14], Operations: []
Exploring Operation: 63-15=48, Resulting Numbers: [9, 14, 48]
Generated Node #2: [9, 14, 48] from Operation: 63-15=48
Current State: 25:[9, 14, 48], Operations: ['63-15=48']
Exploring Operation: 9+14=23, Resulting Numbers: [48, 23]
Generated Node #3: [48, 23] from Operation: 9+14=23
Current State: 25:[48, 23], Operations: ['63-15=48', '9+14=23']
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
8,
22,
20,
57
] | 91 | [
"22-8=14",
"20+57=77",
"14+77=91"
] | Current State: 91:[8, 22, 20, 57], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [20, 57, 14]
Generated Node #2: [20, 57, 14] from Operation: 22-8=14
Current State: 91:[20, 57, 14], Operations: ['22-8=14']
Exploring Operation: 20+57=77, Resulting Numbers: [14, 77]
Generated Node #3: [14, 77] from Operation: 20+57=77
Current State: 91:[14, 77], Operations: ['22-8=14', '20+57=77']
Exploring Operation: 14+77=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
83,
26,
5,
42
] | 10 | [
"83-26=57",
"5+42=47",
"57-47=10"
] | Current State: 10:[83, 26, 5, 42], Operations: []
Exploring Operation: 83-26=57, Resulting Numbers: [5, 42, 57]
Generated Node #2: [5, 42, 57] from Operation: 83-26=57
Current State: 10:[5, 42, 57], Operations: ['83-26=57']
Exploring Operation: 5+42=47, Resulting Numbers: [57, 47]
Generated Node #3: [57, 47] from Operation: 5+42=47
Current State: 10:[57, 47], Operations: ['83-26=57', '5+42=47']
Exploring Operation: 57-47=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
22,
3,
50,
25
] | 14 | [
"22*25=550",
"550/50=11",
"3+11=14"
] | Current State: 14:[22, 3, 50, 25], Operations: []
Exploring Operation: 22*25=550, Resulting Numbers: [3, 50, 550]
Generated Node #2: [3, 50, 550] from Operation: 22*25=550
Current State: 14:[3, 50, 550], Operations: ['22*25=550']
Exploring Operation: 550/50=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 550/50=11
Current State: 14:[3, 11], Operations: ['22*25=550', '550/50=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
28,
9,
81,
57
] | 24 | [
"9*81=729",
"729-57=672",
"672/28=24"
] | Current State: 24:[28, 9, 81, 57], Operations: []
Exploring Operation: 9*81=729, Resulting Numbers: [28, 57, 729]
Generated Node #2: [28, 57, 729] from Operation: 9*81=729
Current State: 24:[28, 57, 729], Operations: ['9*81=729']
Exploring Operation: 729-57=672, Resulting Numbers: [28, 672]
Generated Node #3: [28, 672] from Operation: 729-57=672
Current State: 24:[28, 672], Operations: ['9*81=729', '729-57=672']
Exploring Operation: 672/28=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
2,
72,
6,
36
] | 69 | [
"2*6=12",
"36/12=3",
"72-3=69"
] | Current State: 69:[2, 72, 6, 36], Operations: []
Exploring Operation: 2*6=12, Resulting Numbers: [72, 36, 12]
Generated Node #2: [72, 36, 12] from Operation: 2*6=12
Current State: 69:[72, 36, 12], Operations: ['2*6=12']
Exploring Operation: 36/12=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 36/12=3
Current State: 69:[72, 3], Operations: ['2*6=12', '36/12=3']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
12,
99,
84,
76
] | 79 | [
"99-12=87",
"84-76=8",
"87-8=79"
] | Current State: 79:[12, 99, 84, 76], Operations: []
Exploring Operation: 99-12=87, Resulting Numbers: [84, 76, 87]
Generated Node #2: [84, 76, 87] from Operation: 99-12=87
Current State: 79:[84, 76, 87], Operations: ['99-12=87']
Exploring Operation: 84-76=8, Resulting Numbers: [87, 8]
Generated Node #3: [87, 8] from Operation: 84-76=8
Current State: 79:[87, 8], Operations: ['99-12=87', '84-76=8']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
9,
7,
49,
89
] | 80 | [
"9-7=2",
"89-49=40",
"2*40=80"
] | Current State: 80:[9, 7, 49, 89], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [49, 89, 2]
Generated Node #2: [49, 89, 2] from Operation: 9-7=2
Current State: 80:[49, 89, 2], Operations: ['9-7=2']
Exploring Operation: 89-49=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 89-49=40
Current State: 80:[2, 40], Operations: ['9-7=2', '89-49=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
70,
17,
52,
46
] | 93 | [
"70+17=87",
"52-46=6",
"87+6=93"
] | Current State: 93:[70, 17, 52, 46], Operations: []
Exploring Operation: 70+17=87, Resulting Numbers: [52, 46, 87]
Generated Node #2: [52, 46, 87] from Operation: 70+17=87
Current State: 93:[52, 46, 87], Operations: ['70+17=87']
Exploring Operation: 52-46=6, Resulting Numbers: [87, 6]
Generated Node #3: [87, 6] from Operation: 52-46=6
Current State: 93:[87, 6], Operations: ['70+17=87', '52-46=6']
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
23,
6,
15,
28
] | 47 | [
"15*28=420",
"420/6=70",
"70-23=47"
] | Current State: 47:[23, 6, 15, 28], Operations: []
Exploring Operation: 15*28=420, Resulting Numbers: [23, 6, 420]
Generated Node #2: [23, 6, 420] from Operation: 15*28=420
Current State: 47:[23, 6, 420], Operations: ['15*28=420']
Exploring Operation: 420/6=70, Resulting Numbers: [23, 70]
Generated Node #3: [23, 70] from Operation: 420/6=70
Current State: 47:[23, 70], Operations: ['15*28=420', '420/6=70']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
42,
67,
66,
11
] | 80 | [
"67-42=25",
"66-11=55",
"25+55=80"
] | Current State: 80:[42, 67, 66, 11], Operations: []
Exploring Operation: 67-42=25, Resulting Numbers: [66, 11, 25]
Generated Node #2: [66, 11, 25] from Operation: 67-42=25
Current State: 80:[66, 11, 25], Operations: ['67-42=25']
Exploring Operation: 66-11=55, Resulting Numbers: [25, 55]
Generated Node #3: [25, 55] from Operation: 66-11=55
Current State: 80:[25, 55], Operations: ['67-42=25', '66-11=55']
Exploring Operation: 25+55=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
75,
76,
85,
18
] | 73 | [
"85-76=9",
"18/9=2",
"75-2=73"
] | Current State: 73:[75, 76, 85, 18], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [75, 18, 9]
Generated Node #2: [75, 18, 9] from Operation: 85-76=9
Current State: 73:[75, 18, 9], Operations: ['85-76=9']
Exploring Operation: 18/9=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 18/9=2
Current State: 73:[75, 2], Operations: ['85-76=9', '18/9=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
6,
80,
21,
26
] | 17 | [
"26-6=20",
"80/20=4",
"21-4=17"
] | Current State: 17:[6, 80, 21, 26], Operations: []
Exploring Operation: 26-6=20, Resulting Numbers: [80, 21, 20]
Generated Node #2: [80, 21, 20] from Operation: 26-6=20
Current State: 17:[80, 21, 20], Operations: ['26-6=20']
Exploring Operation: 80/20=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 80/20=4
Current State: 17:[21, 4], Operations: ['26-6=20', '80/20=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
78,
27,
8,
83
] | 85 | [
"83-27=56",
"56/8=7",
"78+7=85"
] | Current State: 85:[78, 27, 8, 83], Operations: []
Exploring Operation: 83-27=56, Resulting Numbers: [78, 8, 56]
Generated Node #2: [78, 8, 56] from Operation: 83-27=56
Current State: 85:[78, 8, 56], Operations: ['83-27=56']
Exploring Operation: 56/8=7, Resulting Numbers: [78, 7]
Generated Node #3: [78, 7] from Operation: 56/8=7
Current State: 85:[78, 7], Operations: ['83-27=56', '56/8=7']
Exploring Operation: 78+7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
22,
10,
66,
97
] | 63 | [
"22+10=32",
"97-66=31",
"32+31=63"
] | Current State: 63:[22, 10, 66, 97], Operations: []
Exploring Operation: 22+10=32, Resulting Numbers: [66, 97, 32]
Generated Node #2: [66, 97, 32] from Operation: 22+10=32
Current State: 63:[66, 97, 32], Operations: ['22+10=32']
Exploring Operation: 97-66=31, Resulting Numbers: [32, 31]
Generated Node #3: [32, 31] from Operation: 97-66=31
Current State: 63:[32, 31], Operations: ['22+10=32', '97-66=31']
Exploring Operation: 32+31=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
35,
96,
99,
54
] | 81 | [
"99-35=64",
"96*54=5184",
"5184/64=81"
] | Current State: 81:[35, 96, 99, 54], Operations: []
Exploring Operation: 99-35=64, Resulting Numbers: [96, 54, 64]
Generated Node #2: [96, 54, 64] from Operation: 99-35=64
Current State: 81:[96, 54, 64], Operations: ['99-35=64']
Exploring Operation: 96*54=5184, Resulting Numbers: [64, 5184]
Generated Node #3: [64, 5184] from Operation: 96*54=5184
Current State: 81:[64, 5184], Operations: ['99-35=64', '96*54=5184']
Exploring Operation: 5184/64=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
20,
55,
26,
3
] | 52 | [
"20+55=75",
"26-3=23",
"75-23=52"
] | Current State: 52:[20, 55, 26, 3], Operations: []
Exploring Operation: 20+55=75, Resulting Numbers: [26, 3, 75]
Generated Node #2: [26, 3, 75] from Operation: 20+55=75
Current State: 52:[26, 3, 75], Operations: ['20+55=75']
Exploring Operation: 26-3=23, Resulting Numbers: [75, 23]
Generated Node #3: [75, 23] from Operation: 26-3=23
Current State: 52:[75, 23], Operations: ['20+55=75', '26-3=23']
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
83,
10,
7,
81
] | 13 | [
"83-81=2",
"10*2=20",
"20-7=13"
] | Current State: 13:[83, 10, 7, 81], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [10, 7, 2]
Generated Node #2: [10, 7, 2] from Operation: 83-81=2
Current State: 13:[10, 7, 2], Operations: ['83-81=2']
Exploring Operation: 10*2=20, Resulting Numbers: [7, 20]
Generated Node #3: [7, 20] from Operation: 10*2=20
Current State: 13:[7, 20], Operations: ['83-81=2', '10*2=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
20,
4,
65,
78
] | 28 | [
"20+65=85",
"85-78=7",
"4*7=28"
] | Current State: 28:[20, 4, 65, 78], Operations: []
Exploring Operation: 20+65=85, Resulting Numbers: [4, 78, 85]
Generated Node #2: [4, 78, 85] from Operation: 20+65=85
Current State: 28:[4, 78, 85], Operations: ['20+65=85']
Exploring Operation: 85-78=7, Resulting Numbers: [4, 7]
Generated Node #3: [4, 7] from Operation: 85-78=7
Current State: 28:[4, 7], Operations: ['20+65=85', '85-78=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
42,
25,
79,
9
] | 15 | [
"42*25=1050",
"79-9=70",
"1050/70=15"
] | Current State: 15:[42, 25, 79, 9], Operations: []
Exploring Operation: 42*25=1050, Resulting Numbers: [79, 9, 1050]
Generated Node #2: [79, 9, 1050] from Operation: 42*25=1050
Current State: 15:[79, 9, 1050], Operations: ['42*25=1050']
Exploring Operation: 79-9=70, Resulting Numbers: [1050, 70]
Generated Node #3: [1050, 70] from Operation: 79-9=70
Current State: 15:[1050, 70], Operations: ['42*25=1050', '79-9=70']
Exploring Operation: 1050/70=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
19,
56,
5,
69
] | 30 | [
"19+56=75",
"75-69=6",
"5*6=30"
] | Current State: 30:[19, 56, 5, 69], Operations: []
Exploring Operation: 19+56=75, Resulting Numbers: [5, 69, 75]
Generated Node #2: [5, 69, 75] from Operation: 19+56=75
Current State: 30:[5, 69, 75], Operations: ['19+56=75']
Exploring Operation: 75-69=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 75-69=6
Current State: 30:[5, 6], Operations: ['19+56=75', '75-69=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
72,
76,
87,
24
] | 14 | [
"72/24=3",
"87-76=11",
"3+11=14"
] | Current State: 14:[72, 76, 87, 24], Operations: []
Exploring Operation: 72/24=3, Resulting Numbers: [76, 87, 3]
Generated Node #2: [76, 87, 3] from Operation: 72/24=3
Current State: 14:[76, 87, 3], Operations: ['72/24=3']
Exploring Operation: 87-76=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 87-76=11
Current State: 14:[3, 11], Operations: ['72/24=3', '87-76=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
91,
50,
98,
63
] | 91 | [
"98-91=7",
"63-50=13",
"7*13=91"
] | Current State: 91:[91, 50, 98, 63], Operations: []
Exploring Operation: 98-91=7, Resulting Numbers: [50, 63, 7]
Generated Node #2: [50, 63, 7] from Operation: 98-91=7
Current State: 91:[50, 63, 7], Operations: ['98-91=7']
Exploring Operation: 63-50=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 63-50=13
Current State: 91:[7, 13], Operations: ['98-91=7', '63-50=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
29,
9,
16,
3
] | 66 | [
"29+9=38",
"38-16=22",
"3*22=66"
] | Current State: 66:[29, 9, 16, 3], Operations: []
Exploring Operation: 29+9=38, Resulting Numbers: [16, 3, 38]
Generated Node #2: [16, 3, 38] from Operation: 29+9=38
Current State: 66:[16, 3, 38], Operations: ['29+9=38']
Exploring Operation: 38-16=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 38-16=22
Current State: 66:[3, 22], Operations: ['29+9=38', '38-16=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
84,
87,
73,
50
] | 26 | [
"87-84=3",
"73-50=23",
"3+23=26"
] | Current State: 26:[84, 87, 73, 50], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [73, 50, 3]
Generated Node #2: [73, 50, 3] from Operation: 87-84=3
Current State: 26:[73, 50, 3], Operations: ['87-84=3']
Exploring Operation: 73-50=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 73-50=23
Current State: 26:[3, 23], Operations: ['87-84=3', '73-50=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
5,
35,
90,
11
] | 65 | [
"5*90=450",
"35*11=385",
"450-385=65"
] | Current State: 65:[5, 35, 90, 11], Operations: []
Exploring Operation: 5*90=450, Resulting Numbers: [35, 11, 450]
Generated Node #2: [35, 11, 450] from Operation: 5*90=450
Current State: 65:[35, 11, 450], Operations: ['5*90=450']
Exploring Operation: 35*11=385, Resulting Numbers: [450, 385]
Generated Node #3: [450, 385] from Operation: 35*11=385
Current State: 65:[450, 385], Operations: ['5*90=450', '35*11=385']
Exploring Operation: 450-385=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
22,
87,
20,
25
] | 49 | [
"25-22=3",
"87/3=29",
"20+29=49"
] | Current State: 49:[22, 87, 20, 25], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [87, 20, 3]
Generated Node #2: [87, 20, 3] from Operation: 25-22=3
Current State: 49:[87, 20, 3], Operations: ['25-22=3']
Exploring Operation: 87/3=29, Resulting Numbers: [20, 29]
Generated Node #3: [20, 29] from Operation: 87/3=29
Current State: 49:[20, 29], Operations: ['25-22=3', '87/3=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
33,
11,
56,
43
] | 14 | [
"56+43=99",
"99/33=3",
"11+3=14"
] | Current State: 14:[33, 11, 56, 43], Operations: []
Exploring Operation: 56+43=99, Resulting Numbers: [33, 11, 99]
Generated Node #2: [33, 11, 99] from Operation: 56+43=99
Current State: 14:[33, 11, 99], Operations: ['56+43=99']
Exploring Operation: 99/33=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 99/33=3
Current State: 14:[11, 3], Operations: ['56+43=99', '99/33=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
50,
23,
17,
48
] | 34 | [
"50*17=850",
"48-23=25",
"850/25=34"
] | Current State: 34:[50, 23, 17, 48], Operations: []
Exploring Operation: 50*17=850, Resulting Numbers: [23, 48, 850]
Generated Node #2: [23, 48, 850] from Operation: 50*17=850
Current State: 34:[23, 48, 850], Operations: ['50*17=850']
Exploring Operation: 48-23=25, Resulting Numbers: [850, 25]
Generated Node #3: [850, 25] from Operation: 48-23=25
Current State: 34:[850, 25], Operations: ['50*17=850', '48-23=25']
Exploring Operation: 850/25=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
49,
46,
99,
75
] | 42 | [
"49-46=3",
"99/3=33",
"75-33=42"
] | Current State: 42:[49, 46, 99, 75], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [99, 75, 3]
Generated Node #2: [99, 75, 3] from Operation: 49-46=3
Current State: 42:[99, 75, 3], Operations: ['49-46=3']
Exploring Operation: 99/3=33, Resulting Numbers: [75, 33]
Generated Node #3: [75, 33] from Operation: 99/3=33
Current State: 42:[75, 33], Operations: ['49-46=3', '99/3=33']
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
29,
80,
66,
5
] | 61 | [
"29+66=95",
"95/5=19",
"80-19=61"
] | Current State: 61:[29, 80, 66, 5], Operations: []
Exploring Operation: 29+66=95, Resulting Numbers: [80, 5, 95]
Generated Node #2: [80, 5, 95] from Operation: 29+66=95
Current State: 61:[80, 5, 95], Operations: ['29+66=95']
Exploring Operation: 95/5=19, Resulting Numbers: [80, 19]
Generated Node #3: [80, 19] from Operation: 95/5=19
Current State: 61:[80, 19], Operations: ['29+66=95', '95/5=19']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
54,
39,
64,
7
] | 72 | [
"54-39=15",
"64-7=57",
"15+57=72"
] | Current State: 72:[54, 39, 64, 7], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [64, 7, 15]
Generated Node #2: [64, 7, 15] from Operation: 54-39=15
Current State: 72:[64, 7, 15], Operations: ['54-39=15']
Exploring Operation: 64-7=57, Resulting Numbers: [15, 57]
Generated Node #3: [15, 57] from Operation: 64-7=57
Current State: 72:[15, 57], Operations: ['54-39=15', '64-7=57']
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
15,
77,
71,
16
] | 74 | [
"77-71=6",
"15*6=90",
"90-16=74"
] | Current State: 74:[15, 77, 71, 16], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [15, 16, 6]
Generated Node #2: [15, 16, 6] from Operation: 77-71=6
Current State: 74:[15, 16, 6], Operations: ['77-71=6']
Exploring Operation: 15*6=90, Resulting Numbers: [16, 90]
Generated Node #3: [16, 90] from Operation: 15*6=90
Current State: 74:[16, 90], Operations: ['77-71=6', '15*6=90']
Exploring Operation: 90-16=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
87,
59,
50,
84
] | 19 | [
"87+84=171",
"59-50=9",
"171/9=19"
] | Current State: 19:[87, 59, 50, 84], Operations: []
Exploring Operation: 87+84=171, Resulting Numbers: [59, 50, 171]
Generated Node #2: [59, 50, 171] from Operation: 87+84=171
Current State: 19:[59, 50, 171], Operations: ['87+84=171']
Exploring Operation: 59-50=9, Resulting Numbers: [171, 9]
Generated Node #3: [171, 9] from Operation: 59-50=9
Current State: 19:[171, 9], Operations: ['87+84=171', '59-50=9']
Exploring Operation: 171/9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
62,
89,
36,
4
] | 54 | [
"89+4=93",
"36*93=3348",
"3348/62=54"
] | Current State: 54:[62, 89, 36, 4], Operations: []
Exploring Operation: 89+4=93, Resulting Numbers: [62, 36, 93]
Generated Node #2: [62, 36, 93] from Operation: 89+4=93
Current State: 54:[62, 36, 93], Operations: ['89+4=93']
Exploring Operation: 36*93=3348, Resulting Numbers: [62, 3348]
Generated Node #3: [62, 3348] from Operation: 36*93=3348
Current State: 54:[62, 3348], Operations: ['89+4=93', '36*93=3348']
Exploring Operation: 3348/62=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
21,
94,
39,
23
] | 57 | [
"94-21=73",
"39-23=16",
"73-16=57"
] | Current State: 57:[21, 94, 39, 23], Operations: []
Exploring Operation: 94-21=73, Resulting Numbers: [39, 23, 73]
Generated Node #2: [39, 23, 73] from Operation: 94-21=73
Current State: 57:[39, 23, 73], Operations: ['94-21=73']
Exploring Operation: 39-23=16, Resulting Numbers: [73, 16]
Generated Node #3: [73, 16] from Operation: 39-23=16
Current State: 57:[73, 16], Operations: ['94-21=73', '39-23=16']
Exploring Operation: 73-16=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
3,
60,
41,
1
] | 58 | [
"60-41=19",
"3*19=57",
"1+57=58"
] | Current State: 58:[3, 60, 41, 1], Operations: []
Exploring Operation: 60-41=19, Resulting Numbers: [3, 1, 19]
Generated Node #2: [3, 1, 19] from Operation: 60-41=19
Current State: 58:[3, 1, 19], Operations: ['60-41=19']
Exploring Operation: 3*19=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 3*19=57
Current State: 58:[1, 57], Operations: ['60-41=19', '3*19=57']
Exploring Operation: 1+57=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
14,
23,
65,
7
] | 96 | [
"14-7=7",
"23*7=161",
"161-65=96"
] | Current State: 96:[14, 23, 65, 7], Operations: []
Exploring Operation: 14-7=7, Resulting Numbers: [23, 65, 7]
Generated Node #2: [23, 65, 7] from Operation: 14-7=7
Current State: 96:[23, 65, 7], Operations: ['14-7=7']
Exploring Operation: 23*7=161, Resulting Numbers: [65, 161]
Generated Node #3: [65, 161] from Operation: 23*7=161
Current State: 96:[65, 161], Operations: ['14-7=7', '23*7=161']
Exploring Operation: 161-65=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
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