nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
69,
43,
25
] | 81 | [
"69+43=112",
"112/2=56",
"25+56=81"
] | Current State: 81:[2, 69, 43, 25], Operations: []
Exploring Operation: 69+43=112, Resulting Numbers: [2, 25, 112]
Generated Node #2: [2, 25, 112] from Operation: 69+43=112
Current State: 81:[2, 25, 112], Operations: ['69+43=112']
Exploring Operation: 112/2=56, Resulting Numbers: [25, 56]
Generated Node #3: [25, 56] from Operation: 112/2=56
Current State: 81:[25, 56], Operations: ['69+43=112', '112/2=56']
Exploring Operation: 25+56=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
5,
46,
22,
75
] | 35 | [
"46+22=68",
"75-68=7",
"5*7=35"
] | Current State: 35:[5, 46, 22, 75], Operations: []
Exploring Operation: 46+22=68, Resulting Numbers: [5, 75, 68]
Generated Node #2: [5, 75, 68] from Operation: 46+22=68
Current State: 35:[5, 75, 68], Operations: ['46+22=68']
Exploring Operation: 75-68=7, Resulting Numbers: [5, 7]
Generated Node #3: [5, 7] from Operation: 75-68=7
Current State: 35:[5, 7], Operations: ['46+22=68', '75-68=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
66,
40,
11,
44
] | 22 | [
"66-40=26",
"44/11=4",
"26-4=22"
] | Current State: 22:[66, 40, 11, 44], Operations: []
Exploring Operation: 66-40=26, Resulting Numbers: [11, 44, 26]
Generated Node #2: [11, 44, 26] from Operation: 66-40=26
Current State: 22:[11, 44, 26], Operations: ['66-40=26']
Exploring Operation: 44/11=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 44/11=4
Current State: 22:[26, 4], Operations: ['66-40=26', '44/11=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
10,
73,
17,
34
] | 100 | [
"10+73=83",
"34-17=17",
"83+17=100"
] | Current State: 100:[10, 73, 17, 34], Operations: []
Exploring Operation: 10+73=83, Resulting Numbers: [17, 34, 83]
Generated Node #2: [17, 34, 83] from Operation: 10+73=83
Current State: 100:[17, 34, 83], Operations: ['10+73=83']
Exploring Operation: 34-17=17, Resulting Numbers: [83, 17]
Generated Node #3: [83, 17] from Operation: 34-17=17
Current State: 100:[83, 17], Operations: ['10+73=83', '34-17=17']
Exploring Operation: 83+17=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
80,
52,
18,
86
] | 76 | [
"80-52=28",
"18+86=104",
"104-28=76"
] | Current State: 76:[80, 52, 18, 86], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [18, 86, 28]
Generated Node #2: [18, 86, 28] from Operation: 80-52=28
Current State: 76:[18, 86, 28], Operations: ['80-52=28']
Exploring Operation: 18+86=104, Resulting Numbers: [28, 104]
Generated Node #3: [28, 104] from Operation: 18+86=104
Current State: 76:[28, 104], Operations: ['80-52=28', '18+86=104']
Exploring Operation: 104-28=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
96,
15,
59,
22
] | 74 | [
"96+15=111",
"59-22=37",
"111-37=74"
] | Current State: 74:[96, 15, 59, 22], Operations: []
Exploring Operation: 96+15=111, Resulting Numbers: [59, 22, 111]
Generated Node #2: [59, 22, 111] from Operation: 96+15=111
Current State: 74:[59, 22, 111], Operations: ['96+15=111']
Exploring Operation: 59-22=37, Resulting Numbers: [111, 37]
Generated Node #3: [111, 37] from Operation: 59-22=37
Current State: 74:[111, 37], Operations: ['96+15=111', '59-22=37']
Exploring Operation: 111-37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
91,
9,
50,
64
] | 86 | [
"91+9=100",
"64-50=14",
"100-14=86"
] | Current State: 86:[91, 9, 50, 64], Operations: []
Exploring Operation: 91+9=100, Resulting Numbers: [50, 64, 100]
Generated Node #2: [50, 64, 100] from Operation: 91+9=100
Current State: 86:[50, 64, 100], Operations: ['91+9=100']
Exploring Operation: 64-50=14, Resulting Numbers: [100, 14]
Generated Node #3: [100, 14] from Operation: 64-50=14
Current State: 86:[100, 14], Operations: ['91+9=100', '64-50=14']
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
93,
83,
48,
80
] | 22 | [
"93-83=10",
"80-48=32",
"32-10=22"
] | Current State: 22:[93, 83, 48, 80], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [48, 80, 10]
Generated Node #2: [48, 80, 10] from Operation: 93-83=10
Current State: 22:[48, 80, 10], Operations: ['93-83=10']
Exploring Operation: 80-48=32, Resulting Numbers: [10, 32]
Generated Node #3: [10, 32] from Operation: 80-48=32
Current State: 22:[10, 32], Operations: ['93-83=10', '80-48=32']
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
69,
12,
73,
7
] | 21 | [
"73-69=4",
"12*7=84",
"84/4=21"
] | Current State: 21:[69, 12, 73, 7], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [12, 7, 4]
Generated Node #2: [12, 7, 4] from Operation: 73-69=4
Current State: 21:[12, 7, 4], Operations: ['73-69=4']
Exploring Operation: 12*7=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 12*7=84
Current State: 21:[4, 84], Operations: ['73-69=4', '12*7=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
12,
61,
66,
64
] | 70 | [
"64-61=3",
"12/3=4",
"66+4=70"
] | Current State: 70:[12, 61, 66, 64], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [12, 66, 3]
Generated Node #2: [12, 66, 3] from Operation: 64-61=3
Current State: 70:[12, 66, 3], Operations: ['64-61=3']
Exploring Operation: 12/3=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 12/3=4
Current State: 70:[66, 4], Operations: ['64-61=3', '12/3=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
85,
73,
76,
88
] | 24 | [
"85-73=12",
"88-76=12",
"12+12=24"
] | Current State: 24:[85, 73, 76, 88], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [76, 88, 12]
Generated Node #2: [76, 88, 12] from Operation: 85-73=12
Current State: 24:[76, 88, 12], Operations: ['85-73=12']
Exploring Operation: 88-76=12, Resulting Numbers: [12, 12]
Generated Node #3: [12, 12] from Operation: 88-76=12
Current State: 24:[12, 12], Operations: ['85-73=12', '88-76=12']
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
4,
7,
63,
35
] | 43 | [
"4*35=140",
"140/7=20",
"63-20=43"
] | Current State: 43:[4, 7, 63, 35], Operations: []
Exploring Operation: 4*35=140, Resulting Numbers: [7, 63, 140]
Generated Node #2: [7, 63, 140] from Operation: 4*35=140
Current State: 43:[7, 63, 140], Operations: ['4*35=140']
Exploring Operation: 140/7=20, Resulting Numbers: [63, 20]
Generated Node #3: [63, 20] from Operation: 140/7=20
Current State: 43:[63, 20], Operations: ['4*35=140', '140/7=20']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
93,
70,
50,
76
] | 85 | [
"93*70=6510",
"6510-50=6460",
"6460/76=85"
] | Current State: 85:[93, 70, 50, 76], Operations: []
Exploring Operation: 93*70=6510, Resulting Numbers: [50, 76, 6510]
Generated Node #2: [50, 76, 6510] from Operation: 93*70=6510
Current State: 85:[50, 76, 6510], Operations: ['93*70=6510']
Exploring Operation: 6510-50=6460, Resulting Numbers: [76, 6460]
Generated Node #3: [76, 6460] from Operation: 6510-50=6460
Current State: 85:[76, 6460], Operations: ['93*70=6510', '6510-50=6460']
Exploring Operation: 6460/76=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
31,
6,
4,
1
] | 62 | [
"31*6=186",
"4-1=3",
"186/3=62"
] | Current State: 62:[31, 6, 4, 1], Operations: []
Exploring Operation: 31*6=186, Resulting Numbers: [4, 1, 186]
Generated Node #2: [4, 1, 186] from Operation: 31*6=186
Current State: 62:[4, 1, 186], Operations: ['31*6=186']
Exploring Operation: 4-1=3, Resulting Numbers: [186, 3]
Generated Node #3: [186, 3] from Operation: 4-1=3
Current State: 62:[186, 3], Operations: ['31*6=186', '4-1=3']
Exploring Operation: 186/3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
25,
61,
88,
67
] | 62 | [
"67-61=6",
"25*6=150",
"150-88=62"
] | Current State: 62:[25, 61, 88, 67], Operations: []
Exploring Operation: 67-61=6, Resulting Numbers: [25, 88, 6]
Generated Node #2: [25, 88, 6] from Operation: 67-61=6
Current State: 62:[25, 88, 6], Operations: ['67-61=6']
Exploring Operation: 25*6=150, Resulting Numbers: [88, 150]
Generated Node #3: [88, 150] from Operation: 25*6=150
Current State: 62:[88, 150], Operations: ['67-61=6', '25*6=150']
Exploring Operation: 150-88=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
9,
27,
69,
33
] | 99 | [
"27/9=3",
"69+33=102",
"102-3=99"
] | Current State: 99:[9, 27, 69, 33], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [69, 33, 3]
Generated Node #2: [69, 33, 3] from Operation: 27/9=3
Current State: 99:[69, 33, 3], Operations: ['27/9=3']
Exploring Operation: 69+33=102, Resulting Numbers: [3, 102]
Generated Node #3: [3, 102] from Operation: 69+33=102
Current State: 99:[3, 102], Operations: ['27/9=3', '69+33=102']
Exploring Operation: 102-3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
97,
36,
79,
51
] | 89 | [
"97-36=61",
"79-51=28",
"61+28=89"
] | Current State: 89:[97, 36, 79, 51], Operations: []
Exploring Operation: 97-36=61, Resulting Numbers: [79, 51, 61]
Generated Node #2: [79, 51, 61] from Operation: 97-36=61
Current State: 89:[79, 51, 61], Operations: ['97-36=61']
Exploring Operation: 79-51=28, Resulting Numbers: [61, 28]
Generated Node #3: [61, 28] from Operation: 79-51=28
Current State: 89:[61, 28], Operations: ['97-36=61', '79-51=28']
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
96,
79,
77,
53
] | 75 | [
"77-53=24",
"96/24=4",
"79-4=75"
] | Current State: 75:[96, 79, 77, 53], Operations: []
Exploring Operation: 77-53=24, Resulting Numbers: [96, 79, 24]
Generated Node #2: [96, 79, 24] from Operation: 77-53=24
Current State: 75:[96, 79, 24], Operations: ['77-53=24']
Exploring Operation: 96/24=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 96/24=4
Current State: 75:[79, 4], Operations: ['77-53=24', '96/24=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
98,
50,
9,
70
] | 79 | [
"98*50=4900",
"4900/70=70",
"9+70=79"
] | Current State: 79:[98, 50, 9, 70], Operations: []
Exploring Operation: 98*50=4900, Resulting Numbers: [9, 70, 4900]
Generated Node #2: [9, 70, 4900] from Operation: 98*50=4900
Current State: 79:[9, 70, 4900], Operations: ['98*50=4900']
Exploring Operation: 4900/70=70, Resulting Numbers: [9, 70]
Generated Node #3: [9, 70] from Operation: 4900/70=70
Current State: 79:[9, 70], Operations: ['98*50=4900', '4900/70=70']
Exploring Operation: 9+70=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
32,
3,
23,
85
] | 97 | [
"32+3=35",
"85-23=62",
"35+62=97"
] | Current State: 97:[32, 3, 23, 85], Operations: []
Exploring Operation: 32+3=35, Resulting Numbers: [23, 85, 35]
Generated Node #2: [23, 85, 35] from Operation: 32+3=35
Current State: 97:[23, 85, 35], Operations: ['32+3=35']
Exploring Operation: 85-23=62, Resulting Numbers: [35, 62]
Generated Node #3: [35, 62] from Operation: 85-23=62
Current State: 97:[35, 62], Operations: ['32+3=35', '85-23=62']
Exploring Operation: 35+62=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
26,
17,
98,
85
] | 32 | [
"26*85=2210",
"2210/17=130",
"130-98=32"
] | Current State: 32:[26, 17, 98, 85], Operations: []
Exploring Operation: 26*85=2210, Resulting Numbers: [17, 98, 2210]
Generated Node #2: [17, 98, 2210] from Operation: 26*85=2210
Current State: 32:[17, 98, 2210], Operations: ['26*85=2210']
Exploring Operation: 2210/17=130, Resulting Numbers: [98, 130]
Generated Node #3: [98, 130] from Operation: 2210/17=130
Current State: 32:[98, 130], Operations: ['26*85=2210', '2210/17=130']
Exploring Operation: 130-98=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
6,
16,
20,
15
] | 61 | [
"6*16=96",
"20+15=35",
"96-35=61"
] | Current State: 61:[6, 16, 20, 15], Operations: []
Exploring Operation: 6*16=96, Resulting Numbers: [20, 15, 96]
Generated Node #2: [20, 15, 96] from Operation: 6*16=96
Current State: 61:[20, 15, 96], Operations: ['6*16=96']
Exploring Operation: 20+15=35, Resulting Numbers: [96, 35]
Generated Node #3: [96, 35] from Operation: 20+15=35
Current State: 61:[96, 35], Operations: ['6*16=96', '20+15=35']
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
64,
4,
97,
52
] | 68 | [
"64+52=116",
"116/4=29",
"97-29=68"
] | Current State: 68:[64, 4, 97, 52], Operations: []
Exploring Operation: 64+52=116, Resulting Numbers: [4, 97, 116]
Generated Node #2: [4, 97, 116] from Operation: 64+52=116
Current State: 68:[4, 97, 116], Operations: ['64+52=116']
Exploring Operation: 116/4=29, Resulting Numbers: [97, 29]
Generated Node #3: [97, 29] from Operation: 116/4=29
Current State: 68:[97, 29], Operations: ['64+52=116', '116/4=29']
Exploring Operation: 97-29=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
41,
2,
21,
4
] | 95 | [
"41-4=37",
"2*37=74",
"21+74=95"
] | Current State: 95:[41, 2, 21, 4], Operations: []
Exploring Operation: 41-4=37, Resulting Numbers: [2, 21, 37]
Generated Node #2: [2, 21, 37] from Operation: 41-4=37
Current State: 95:[2, 21, 37], Operations: ['41-4=37']
Exploring Operation: 2*37=74, Resulting Numbers: [21, 74]
Generated Node #3: [21, 74] from Operation: 2*37=74
Current State: 95:[21, 74], Operations: ['41-4=37', '2*37=74']
Exploring Operation: 21+74=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
33,
2,
15,
61
] | 45 | [
"33-2=31",
"15+61=76",
"76-31=45"
] | Current State: 45:[33, 2, 15, 61], Operations: []
Exploring Operation: 33-2=31, Resulting Numbers: [15, 61, 31]
Generated Node #2: [15, 61, 31] from Operation: 33-2=31
Current State: 45:[15, 61, 31], Operations: ['33-2=31']
Exploring Operation: 15+61=76, Resulting Numbers: [31, 76]
Generated Node #3: [31, 76] from Operation: 15+61=76
Current State: 45:[31, 76], Operations: ['33-2=31', '15+61=76']
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
39,
42,
24,
75
] | 72 | [
"42+75=117",
"117/39=3",
"24*3=72"
] | Current State: 72:[39, 42, 24, 75], Operations: []
Exploring Operation: 42+75=117, Resulting Numbers: [39, 24, 117]
Generated Node #2: [39, 24, 117] from Operation: 42+75=117
Current State: 72:[39, 24, 117], Operations: ['42+75=117']
Exploring Operation: 117/39=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 117/39=3
Current State: 72:[24, 3], Operations: ['42+75=117', '117/39=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
44,
34,
32
] | 27 | [
"44-34=10",
"10/2=5",
"32-5=27"
] | Current State: 27:[2, 44, 34, 32], Operations: []
Exploring Operation: 44-34=10, Resulting Numbers: [2, 32, 10]
Generated Node #2: [2, 32, 10] from Operation: 44-34=10
Current State: 27:[2, 32, 10], Operations: ['44-34=10']
Exploring Operation: 10/2=5, Resulting Numbers: [32, 5]
Generated Node #3: [32, 5] from Operation: 10/2=5
Current State: 27:[32, 5], Operations: ['44-34=10', '10/2=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
24,
54,
45,
24
] | 51 | [
"54-24=30",
"45-24=21",
"30+21=51"
] | Current State: 51:[24, 54, 45, 24], Operations: []
Exploring Operation: 54-24=30, Resulting Numbers: [45, 30]
Generated Node #2: [45, 30] from Operation: 54-24=30
Current State: 51:[45, 30], Operations: ['54-24=30']
Exploring Operation: 45-24=21, Resulting Numbers: [30, 21]
Generated Node #3: [30, 21] from Operation: 45-24=21
Current State: 51:[30, 21], Operations: ['54-24=30', '45-24=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
7,
69,
32,
1
] | 22 | [
"69+1=70",
"70/7=10",
"32-10=22"
] | Current State: 22:[7, 69, 32, 1], Operations: []
Exploring Operation: 69+1=70, Resulting Numbers: [7, 32, 70]
Generated Node #2: [7, 32, 70] from Operation: 69+1=70
Current State: 22:[7, 32, 70], Operations: ['69+1=70']
Exploring Operation: 70/7=10, Resulting Numbers: [32, 10]
Generated Node #3: [32, 10] from Operation: 70/7=10
Current State: 22:[32, 10], Operations: ['69+1=70', '70/7=10']
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
58,
95,
76,
62
] | 15 | [
"58+95=153",
"76+62=138",
"153-138=15"
] | Current State: 15:[58, 95, 76, 62], Operations: []
Exploring Operation: 58+95=153, Resulting Numbers: [76, 62, 153]
Generated Node #2: [76, 62, 153] from Operation: 58+95=153
Current State: 15:[76, 62, 153], Operations: ['58+95=153']
Exploring Operation: 76+62=138, Resulting Numbers: [153, 138]
Generated Node #3: [153, 138] from Operation: 76+62=138
Current State: 15:[153, 138], Operations: ['58+95=153', '76+62=138']
Exploring Operation: 153-138=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
92,
20,
56,
35
] | 21 | [
"92+20=112",
"56+35=91",
"112-91=21"
] | Current State: 21:[92, 20, 56, 35], Operations: []
Exploring Operation: 92+20=112, Resulting Numbers: [56, 35, 112]
Generated Node #2: [56, 35, 112] from Operation: 92+20=112
Current State: 21:[56, 35, 112], Operations: ['92+20=112']
Exploring Operation: 56+35=91, Resulting Numbers: [112, 91]
Generated Node #3: [112, 91] from Operation: 56+35=91
Current State: 21:[112, 91], Operations: ['92+20=112', '56+35=91']
Exploring Operation: 112-91=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
3,
22,
12,
79
] | 97 | [
"12/3=4",
"22+79=101",
"101-4=97"
] | Current State: 97:[3, 22, 12, 79], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [22, 79, 4]
Generated Node #2: [22, 79, 4] from Operation: 12/3=4
Current State: 97:[22, 79, 4], Operations: ['12/3=4']
Exploring Operation: 22+79=101, Resulting Numbers: [4, 101]
Generated Node #3: [4, 101] from Operation: 22+79=101
Current State: 97:[4, 101], Operations: ['12/3=4', '22+79=101']
Exploring Operation: 101-4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
71,
79,
10,
61
] | 43 | [
"79-71=8",
"61-10=51",
"51-8=43"
] | Current State: 43:[71, 79, 10, 61], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [10, 61, 8]
Generated Node #2: [10, 61, 8] from Operation: 79-71=8
Current State: 43:[10, 61, 8], Operations: ['79-71=8']
Exploring Operation: 61-10=51, Resulting Numbers: [8, 51]
Generated Node #3: [8, 51] from Operation: 61-10=51
Current State: 43:[8, 51], Operations: ['79-71=8', '61-10=51']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
58,
87,
35,
51
] | 92 | [
"58-51=7",
"35/7=5",
"87+5=92"
] | Current State: 92:[58, 87, 35, 51], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [87, 35, 7]
Generated Node #2: [87, 35, 7] from Operation: 58-51=7
Current State: 92:[87, 35, 7], Operations: ['58-51=7']
Exploring Operation: 35/7=5, Resulting Numbers: [87, 5]
Generated Node #3: [87, 5] from Operation: 35/7=5
Current State: 92:[87, 5], Operations: ['58-51=7', '35/7=5']
Exploring Operation: 87+5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
12,
50,
81,
2
] | 100 | [
"12+50=62",
"81*2=162",
"162-62=100"
] | Current State: 100:[12, 50, 81, 2], Operations: []
Exploring Operation: 12+50=62, Resulting Numbers: [81, 2, 62]
Generated Node #2: [81, 2, 62] from Operation: 12+50=62
Current State: 100:[81, 2, 62], Operations: ['12+50=62']
Exploring Operation: 81*2=162, Resulting Numbers: [62, 162]
Generated Node #3: [62, 162] from Operation: 81*2=162
Current State: 100:[62, 162], Operations: ['12+50=62', '81*2=162']
Exploring Operation: 162-62=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
12,
58,
26,
67
] | 78 | [
"12+58=70",
"70-67=3",
"26*3=78"
] | Current State: 78:[12, 58, 26, 67], Operations: []
Exploring Operation: 12+58=70, Resulting Numbers: [26, 67, 70]
Generated Node #2: [26, 67, 70] from Operation: 12+58=70
Current State: 78:[26, 67, 70], Operations: ['12+58=70']
Exploring Operation: 70-67=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 70-67=3
Current State: 78:[26, 3], Operations: ['12+58=70', '70-67=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
2,
16,
24,
12
] | 17 | [
"24/2=12",
"12/12=1",
"16+1=17"
] | Current State: 17:[2, 16, 24, 12], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [16, 12, 12]
Generated Node #2: [16, 12, 12] from Operation: 24/2=12
Current State: 17:[16, 12, 12], Operations: ['24/2=12']
Exploring Operation: 12/12=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 12/12=1
Current State: 17:[16, 1], Operations: ['24/2=12', '12/12=1']
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
51,
79,
12,
7
] | 38 | [
"79+12=91",
"91/7=13",
"51-13=38"
] | Current State: 38:[51, 79, 12, 7], Operations: []
Exploring Operation: 79+12=91, Resulting Numbers: [51, 7, 91]
Generated Node #2: [51, 7, 91] from Operation: 79+12=91
Current State: 38:[51, 7, 91], Operations: ['79+12=91']
Exploring Operation: 91/7=13, Resulting Numbers: [51, 13]
Generated Node #3: [51, 13] from Operation: 91/7=13
Current State: 38:[51, 13], Operations: ['79+12=91', '91/7=13']
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
36,
70,
86,
43
] | 10 | [
"86-36=50",
"50-43=7",
"70/7=10"
] | Current State: 10:[36, 70, 86, 43], Operations: []
Exploring Operation: 86-36=50, Resulting Numbers: [70, 43, 50]
Generated Node #2: [70, 43, 50] from Operation: 86-36=50
Current State: 10:[70, 43, 50], Operations: ['86-36=50']
Exploring Operation: 50-43=7, Resulting Numbers: [70, 7]
Generated Node #3: [70, 7] from Operation: 50-43=7
Current State: 10:[70, 7], Operations: ['86-36=50', '50-43=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
34,
13,
24,
23
] | 100 | [
"34-24=10",
"23-13=10",
"10*10=100"
] | Current State: 100:[34, 13, 24, 23], Operations: []
Exploring Operation: 34-24=10, Resulting Numbers: [13, 23, 10]
Generated Node #2: [13, 23, 10] from Operation: 34-24=10
Current State: 100:[13, 23, 10], Operations: ['34-24=10']
Exploring Operation: 23-13=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 23-13=10
Current State: 100:[10, 10], Operations: ['34-24=10', '23-13=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
26,
79,
70,
14
] | 51 | [
"26*70=1820",
"1820/14=130",
"130-79=51"
] | Current State: 51:[26, 79, 70, 14], Operations: []
Exploring Operation: 26*70=1820, Resulting Numbers: [79, 14, 1820]
Generated Node #2: [79, 14, 1820] from Operation: 26*70=1820
Current State: 51:[79, 14, 1820], Operations: ['26*70=1820']
Exploring Operation: 1820/14=130, Resulting Numbers: [79, 130]
Generated Node #3: [79, 130] from Operation: 1820/14=130
Current State: 51:[79, 130], Operations: ['26*70=1820', '1820/14=130']
Exploring Operation: 130-79=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
49,
14,
50,
6
] | 55 | [
"50-14=36",
"36/6=6",
"49+6=55"
] | Current State: 55:[49, 14, 50, 6], Operations: []
Exploring Operation: 50-14=36, Resulting Numbers: [49, 6, 36]
Generated Node #2: [49, 6, 36] from Operation: 50-14=36
Current State: 55:[49, 6, 36], Operations: ['50-14=36']
Exploring Operation: 36/6=6, Resulting Numbers: [49, 6]
Generated Node #3: [49, 6] from Operation: 36/6=6
Current State: 55:[49, 6], Operations: ['50-14=36', '36/6=6']
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
16,
11,
36,
21
] | 60 | [
"16*21=336",
"11*36=396",
"396-336=60"
] | Current State: 60:[16, 11, 36, 21], Operations: []
Exploring Operation: 16*21=336, Resulting Numbers: [11, 36, 336]
Generated Node #2: [11, 36, 336] from Operation: 16*21=336
Current State: 60:[11, 36, 336], Operations: ['16*21=336']
Exploring Operation: 11*36=396, Resulting Numbers: [336, 396]
Generated Node #3: [336, 396] from Operation: 11*36=396
Current State: 60:[336, 396], Operations: ['16*21=336', '11*36=396']
Exploring Operation: 396-336=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
37,
61,
17,
51
] | 95 | [
"37+61=98",
"51/17=3",
"98-3=95"
] | Current State: 95:[37, 61, 17, 51], Operations: []
Exploring Operation: 37+61=98, Resulting Numbers: [17, 51, 98]
Generated Node #2: [17, 51, 98] from Operation: 37+61=98
Current State: 95:[17, 51, 98], Operations: ['37+61=98']
Exploring Operation: 51/17=3, Resulting Numbers: [98, 3]
Generated Node #3: [98, 3] from Operation: 51/17=3
Current State: 95:[98, 3], Operations: ['37+61=98', '51/17=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
97,
22,
78,
22
] | 97 | [
"22-22=0",
"78*0=0",
"97+0=97"
] | Current State: 97:[97, 22, 78, 22], Operations: []
Exploring Operation: 22-22=0, Resulting Numbers: [97, 78, 0]
Generated Node #2: [97, 78, 0] from Operation: 22-22=0
Current State: 97:[97, 78, 0], Operations: ['22-22=0']
Exploring Operation: 78*0=0, Resulting Numbers: [97, 0]
Generated Node #3: [97, 0] from Operation: 78*0=0
Current State: 97:[97, 0], Operations: ['22-22=0', '78*0=0']
Exploring Operation: 97+0=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
6,
7,
56,
33
] | 35 | [
"33-6=27",
"56/7=8",
"27+8=35"
] | Current State: 35:[6, 7, 56, 33], Operations: []
Exploring Operation: 33-6=27, Resulting Numbers: [7, 56, 27]
Generated Node #2: [7, 56, 27] from Operation: 33-6=27
Current State: 35:[7, 56, 27], Operations: ['33-6=27']
Exploring Operation: 56/7=8, Resulting Numbers: [27, 8]
Generated Node #3: [27, 8] from Operation: 56/7=8
Current State: 35:[27, 8], Operations: ['33-6=27', '56/7=8']
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
23,
45,
41,
23
] | 92 | [
"23*45=1035",
"41*23=943",
"1035-943=92"
] | Current State: 92:[23, 45, 41, 23], Operations: []
Exploring Operation: 23*45=1035, Resulting Numbers: [41, 1035]
Generated Node #2: [41, 1035] from Operation: 23*45=1035
Current State: 92:[41, 1035], Operations: ['23*45=1035']
Exploring Operation: 41*23=943, Resulting Numbers: [1035, 943]
Generated Node #3: [1035, 943] from Operation: 41*23=943
Current State: 92:[1035, 943], Operations: ['23*45=1035', '41*23=943']
Exploring Operation: 1035-943=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
41,
15,
44,
66
] | 17 | [
"44-41=3",
"66-15=51",
"51/3=17"
] | Current State: 17:[41, 15, 44, 66], Operations: []
Exploring Operation: 44-41=3, Resulting Numbers: [15, 66, 3]
Generated Node #2: [15, 66, 3] from Operation: 44-41=3
Current State: 17:[15, 66, 3], Operations: ['44-41=3']
Exploring Operation: 66-15=51, Resulting Numbers: [3, 51]
Generated Node #3: [3, 51] from Operation: 66-15=51
Current State: 17:[3, 51], Operations: ['44-41=3', '66-15=51']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
2,
71,
20,
24
] | 78 | [
"71-20=51",
"2*51=102",
"102-24=78"
] | Current State: 78:[2, 71, 20, 24], Operations: []
Exploring Operation: 71-20=51, Resulting Numbers: [2, 24, 51]
Generated Node #2: [2, 24, 51] from Operation: 71-20=51
Current State: 78:[2, 24, 51], Operations: ['71-20=51']
Exploring Operation: 2*51=102, Resulting Numbers: [24, 102]
Generated Node #3: [24, 102] from Operation: 2*51=102
Current State: 78:[24, 102], Operations: ['71-20=51', '2*51=102']
Exploring Operation: 102-24=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
66,
33,
68,
88
] | 79 | [
"66+33=99",
"88-68=20",
"99-20=79"
] | Current State: 79:[66, 33, 68, 88], Operations: []
Exploring Operation: 66+33=99, Resulting Numbers: [68, 88, 99]
Generated Node #2: [68, 88, 99] from Operation: 66+33=99
Current State: 79:[68, 88, 99], Operations: ['66+33=99']
Exploring Operation: 88-68=20, Resulting Numbers: [99, 20]
Generated Node #3: [99, 20] from Operation: 88-68=20
Current State: 79:[99, 20], Operations: ['66+33=99', '88-68=20']
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
35,
55,
80,
9
] | 60 | [
"80-35=45",
"45/9=5",
"55+5=60"
] | Current State: 60:[35, 55, 80, 9], Operations: []
Exploring Operation: 80-35=45, Resulting Numbers: [55, 9, 45]
Generated Node #2: [55, 9, 45] from Operation: 80-35=45
Current State: 60:[55, 9, 45], Operations: ['80-35=45']
Exploring Operation: 45/9=5, Resulting Numbers: [55, 5]
Generated Node #3: [55, 5] from Operation: 45/9=5
Current State: 60:[55, 5], Operations: ['80-35=45', '45/9=5']
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
41,
69,
58,
11
] | 19 | [
"69-41=28",
"58-11=47",
"47-28=19"
] | Current State: 19:[41, 69, 58, 11], Operations: []
Exploring Operation: 69-41=28, Resulting Numbers: [58, 11, 28]
Generated Node #2: [58, 11, 28] from Operation: 69-41=28
Current State: 19:[58, 11, 28], Operations: ['69-41=28']
Exploring Operation: 58-11=47, Resulting Numbers: [28, 47]
Generated Node #3: [28, 47] from Operation: 58-11=47
Current State: 19:[28, 47], Operations: ['69-41=28', '58-11=47']
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
35,
47,
53,
87
] | 47 | [
"35+53=88",
"88-87=1",
"47*1=47"
] | Current State: 47:[35, 47, 53, 87], Operations: []
Exploring Operation: 35+53=88, Resulting Numbers: [47, 87, 88]
Generated Node #2: [47, 87, 88] from Operation: 35+53=88
Current State: 47:[47, 87, 88], Operations: ['35+53=88']
Exploring Operation: 88-87=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 88-87=1
Current State: 47:[47, 1], Operations: ['35+53=88', '88-87=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
21,
25,
69,
14
] | 79 | [
"25-21=4",
"69+14=83",
"83-4=79"
] | Current State: 79:[21, 25, 69, 14], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [69, 14, 4]
Generated Node #2: [69, 14, 4] from Operation: 25-21=4
Current State: 79:[69, 14, 4], Operations: ['25-21=4']
Exploring Operation: 69+14=83, Resulting Numbers: [4, 83]
Generated Node #3: [4, 83] from Operation: 69+14=83
Current State: 79:[4, 83], Operations: ['25-21=4', '69+14=83']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
3,
93,
77,
69
] | 50 | [
"3+93=96",
"77+69=146",
"146-96=50"
] | Current State: 50:[3, 93, 77, 69], Operations: []
Exploring Operation: 3+93=96, Resulting Numbers: [77, 69, 96]
Generated Node #2: [77, 69, 96] from Operation: 3+93=96
Current State: 50:[77, 69, 96], Operations: ['3+93=96']
Exploring Operation: 77+69=146, Resulting Numbers: [96, 146]
Generated Node #3: [96, 146] from Operation: 77+69=146
Current State: 50:[96, 146], Operations: ['3+93=96', '77+69=146']
Exploring Operation: 146-96=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
70,
2,
88,
11
] | 99 | [
"88-70=18",
"18/2=9",
"11*9=99"
] | Current State: 99:[70, 2, 88, 11], Operations: []
Exploring Operation: 88-70=18, Resulting Numbers: [2, 11, 18]
Generated Node #2: [2, 11, 18] from Operation: 88-70=18
Current State: 99:[2, 11, 18], Operations: ['88-70=18']
Exploring Operation: 18/2=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 18/2=9
Current State: 99:[11, 9], Operations: ['88-70=18', '18/2=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
61,
54,
82,
57
] | 32 | [
"61-54=7",
"82-57=25",
"7+25=32"
] | Current State: 32:[61, 54, 82, 57], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [82, 57, 7]
Generated Node #2: [82, 57, 7] from Operation: 61-54=7
Current State: 32:[82, 57, 7], Operations: ['61-54=7']
Exploring Operation: 82-57=25, Resulting Numbers: [7, 25]
Generated Node #3: [7, 25] from Operation: 82-57=25
Current State: 32:[7, 25], Operations: ['61-54=7', '82-57=25']
Exploring Operation: 7+25=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
95,
52,
2,
81
] | 45 | [
"95-81=14",
"14/2=7",
"52-7=45"
] | Current State: 45:[95, 52, 2, 81], Operations: []
Exploring Operation: 95-81=14, Resulting Numbers: [52, 2, 14]
Generated Node #2: [52, 2, 14] from Operation: 95-81=14
Current State: 45:[52, 2, 14], Operations: ['95-81=14']
Exploring Operation: 14/2=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 14/2=7
Current State: 45:[52, 7], Operations: ['95-81=14', '14/2=7']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
84,
82,
20,
46
] | 43 | [
"84-82=2",
"46/2=23",
"20+23=43"
] | Current State: 43:[84, 82, 20, 46], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [20, 46, 2]
Generated Node #2: [20, 46, 2] from Operation: 84-82=2
Current State: 43:[20, 46, 2], Operations: ['84-82=2']
Exploring Operation: 46/2=23, Resulting Numbers: [20, 23]
Generated Node #3: [20, 23] from Operation: 46/2=23
Current State: 43:[20, 23], Operations: ['84-82=2', '46/2=23']
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
93,
48,
15,
44
] | 16 | [
"93-48=45",
"44-15=29",
"45-29=16"
] | Current State: 16:[93, 48, 15, 44], Operations: []
Exploring Operation: 93-48=45, Resulting Numbers: [15, 44, 45]
Generated Node #2: [15, 44, 45] from Operation: 93-48=45
Current State: 16:[15, 44, 45], Operations: ['93-48=45']
Exploring Operation: 44-15=29, Resulting Numbers: [45, 29]
Generated Node #3: [45, 29] from Operation: 44-15=29
Current State: 16:[45, 29], Operations: ['93-48=45', '44-15=29']
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
95,
48,
65,
90
] | 61 | [
"95-90=5",
"65/5=13",
"48+13=61"
] | Current State: 61:[95, 48, 65, 90], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [48, 65, 5]
Generated Node #2: [48, 65, 5] from Operation: 95-90=5
Current State: 61:[48, 65, 5], Operations: ['95-90=5']
Exploring Operation: 65/5=13, Resulting Numbers: [48, 13]
Generated Node #3: [48, 13] from Operation: 65/5=13
Current State: 61:[48, 13], Operations: ['95-90=5', '65/5=13']
Exploring Operation: 48+13=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
2,
56,
12,
64
] | 14 | [
"12/2=6",
"64-56=8",
"6+8=14"
] | Current State: 14:[2, 56, 12, 64], Operations: []
Exploring Operation: 12/2=6, Resulting Numbers: [56, 64, 6]
Generated Node #2: [56, 64, 6] from Operation: 12/2=6
Current State: 14:[56, 64, 6], Operations: ['12/2=6']
Exploring Operation: 64-56=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 64-56=8
Current State: 14:[6, 8], Operations: ['12/2=6', '64-56=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
4,
58,
28,
95
] | 69 | [
"58-4=54",
"28+95=123",
"123-54=69"
] | Current State: 69:[4, 58, 28, 95], Operations: []
Exploring Operation: 58-4=54, Resulting Numbers: [28, 95, 54]
Generated Node #2: [28, 95, 54] from Operation: 58-4=54
Current State: 69:[28, 95, 54], Operations: ['58-4=54']
Exploring Operation: 28+95=123, Resulting Numbers: [54, 123]
Generated Node #3: [54, 123] from Operation: 28+95=123
Current State: 69:[54, 123], Operations: ['58-4=54', '28+95=123']
Exploring Operation: 123-54=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
3,
15,
34,
75
] | 54 | [
"75-15=60",
"60/3=20",
"34+20=54"
] | Current State: 54:[3, 15, 34, 75], Operations: []
Exploring Operation: 75-15=60, Resulting Numbers: [3, 34, 60]
Generated Node #2: [3, 34, 60] from Operation: 75-15=60
Current State: 54:[3, 34, 60], Operations: ['75-15=60']
Exploring Operation: 60/3=20, Resulting Numbers: [34, 20]
Generated Node #3: [34, 20] from Operation: 60/3=20
Current State: 54:[34, 20], Operations: ['75-15=60', '60/3=20']
Exploring Operation: 34+20=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
8,
5,
3,
5
] | 24 | [
"8+5=13",
"13-5=8",
"3*8=24"
] | Current State: 24:[8, 5, 3, 5], Operations: []
Exploring Operation: 8+5=13, Resulting Numbers: [3, 13]
Generated Node #2: [3, 13] from Operation: 8+5=13
Current State: 24:[3, 13], Operations: ['8+5=13']
Exploring Operation: 13-5=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 13-5=8
Current State: 24:[3, 8], Operations: ['8+5=13', '13-5=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
21,
9,
38,
67
] | 93 | [
"21-9=12",
"38+67=105",
"105-12=93"
] | Current State: 93:[21, 9, 38, 67], Operations: []
Exploring Operation: 21-9=12, Resulting Numbers: [38, 67, 12]
Generated Node #2: [38, 67, 12] from Operation: 21-9=12
Current State: 93:[38, 67, 12], Operations: ['21-9=12']
Exploring Operation: 38+67=105, Resulting Numbers: [12, 105]
Generated Node #3: [12, 105] from Operation: 38+67=105
Current State: 93:[12, 105], Operations: ['21-9=12', '38+67=105']
Exploring Operation: 105-12=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
32,
64,
44,
66
] | 56 | [
"66-64=2",
"44*2=88",
"88-32=56"
] | Current State: 56:[32, 64, 44, 66], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [32, 44, 2]
Generated Node #2: [32, 44, 2] from Operation: 66-64=2
Current State: 56:[32, 44, 2], Operations: ['66-64=2']
Exploring Operation: 44*2=88, Resulting Numbers: [32, 88]
Generated Node #3: [32, 88] from Operation: 44*2=88
Current State: 56:[32, 88], Operations: ['66-64=2', '44*2=88']
Exploring Operation: 88-32=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
43,
39,
67,
33
] | 30 | [
"43-39=4",
"67-33=34",
"34-4=30"
] | Current State: 30:[43, 39, 67, 33], Operations: []
Exploring Operation: 43-39=4, Resulting Numbers: [67, 33, 4]
Generated Node #2: [67, 33, 4] from Operation: 43-39=4
Current State: 30:[67, 33, 4], Operations: ['43-39=4']
Exploring Operation: 67-33=34, Resulting Numbers: [4, 34]
Generated Node #3: [4, 34] from Operation: 67-33=34
Current State: 30:[4, 34], Operations: ['43-39=4', '67-33=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
64,
60,
77,
2
] | 17 | [
"77-64=13",
"60/2=30",
"30-13=17"
] | Current State: 17:[64, 60, 77, 2], Operations: []
Exploring Operation: 77-64=13, Resulting Numbers: [60, 2, 13]
Generated Node #2: [60, 2, 13] from Operation: 77-64=13
Current State: 17:[60, 2, 13], Operations: ['77-64=13']
Exploring Operation: 60/2=30, Resulting Numbers: [13, 30]
Generated Node #3: [13, 30] from Operation: 60/2=30
Current State: 17:[13, 30], Operations: ['77-64=13', '60/2=30']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
42,
2,
12,
56
] | 65 | [
"42/2=21",
"56-12=44",
"21+44=65"
] | Current State: 65:[42, 2, 12, 56], Operations: []
Exploring Operation: 42/2=21, Resulting Numbers: [12, 56, 21]
Generated Node #2: [12, 56, 21] from Operation: 42/2=21
Current State: 65:[12, 56, 21], Operations: ['42/2=21']
Exploring Operation: 56-12=44, Resulting Numbers: [21, 44]
Generated Node #3: [21, 44] from Operation: 56-12=44
Current State: 65:[21, 44], Operations: ['42/2=21', '56-12=44']
Exploring Operation: 21+44=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
44,
24,
66,
65
] | 56 | [
"44*66=2904",
"2904/24=121",
"121-65=56"
] | Current State: 56:[44, 24, 66, 65], Operations: []
Exploring Operation: 44*66=2904, Resulting Numbers: [24, 65, 2904]
Generated Node #2: [24, 65, 2904] from Operation: 44*66=2904
Current State: 56:[24, 65, 2904], Operations: ['44*66=2904']
Exploring Operation: 2904/24=121, Resulting Numbers: [65, 121]
Generated Node #3: [65, 121] from Operation: 2904/24=121
Current State: 56:[65, 121], Operations: ['44*66=2904', '2904/24=121']
Exploring Operation: 121-65=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
19,
28,
89,
60
] | 20 | [
"28-19=9",
"89-60=29",
"29-9=20"
] | Current State: 20:[19, 28, 89, 60], Operations: []
Exploring Operation: 28-19=9, Resulting Numbers: [89, 60, 9]
Generated Node #2: [89, 60, 9] from Operation: 28-19=9
Current State: 20:[89, 60, 9], Operations: ['28-19=9']
Exploring Operation: 89-60=29, Resulting Numbers: [9, 29]
Generated Node #3: [9, 29] from Operation: 89-60=29
Current State: 20:[9, 29], Operations: ['28-19=9', '89-60=29']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
47,
96,
73,
96
] | 73 | [
"96-96=0",
"47*0=0",
"73+0=73"
] | Current State: 73:[47, 96, 73, 96], Operations: []
Exploring Operation: 96-96=0, Resulting Numbers: [47, 73, 0]
Generated Node #2: [47, 73, 0] from Operation: 96-96=0
Current State: 73:[47, 73, 0], Operations: ['96-96=0']
Exploring Operation: 47*0=0, Resulting Numbers: [73, 0]
Generated Node #3: [73, 0] from Operation: 47*0=0
Current State: 73:[73, 0], Operations: ['96-96=0', '47*0=0']
Exploring Operation: 73+0=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
52,
98,
43,
2
] | 32 | [
"52+98=150",
"150/2=75",
"75-43=32"
] | Current State: 32:[52, 98, 43, 2], Operations: []
Exploring Operation: 52+98=150, Resulting Numbers: [43, 2, 150]
Generated Node #2: [43, 2, 150] from Operation: 52+98=150
Current State: 32:[43, 2, 150], Operations: ['52+98=150']
Exploring Operation: 150/2=75, Resulting Numbers: [43, 75]
Generated Node #3: [43, 75] from Operation: 150/2=75
Current State: 32:[43, 75], Operations: ['52+98=150', '150/2=75']
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
57,
45,
86,
43
] | 10 | [
"57-45=12",
"86/43=2",
"12-2=10"
] | Current State: 10:[57, 45, 86, 43], Operations: []
Exploring Operation: 57-45=12, Resulting Numbers: [86, 43, 12]
Generated Node #2: [86, 43, 12] from Operation: 57-45=12
Current State: 10:[86, 43, 12], Operations: ['57-45=12']
Exploring Operation: 86/43=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 86/43=2
Current State: 10:[12, 2], Operations: ['57-45=12', '86/43=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
87,
85,
4,
96
] | 49 | [
"96-87=9",
"4*9=36",
"85-36=49"
] | Current State: 49:[87, 85, 4, 96], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [85, 4, 9]
Generated Node #2: [85, 4, 9] from Operation: 96-87=9
Current State: 49:[85, 4, 9], Operations: ['96-87=9']
Exploring Operation: 4*9=36, Resulting Numbers: [85, 36]
Generated Node #3: [85, 36] from Operation: 4*9=36
Current State: 49:[85, 36], Operations: ['96-87=9', '4*9=36']
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
93,
51,
3,
15
] | 71 | [
"51+15=66",
"66/3=22",
"93-22=71"
] | Current State: 71:[93, 51, 3, 15], Operations: []
Exploring Operation: 51+15=66, Resulting Numbers: [93, 3, 66]
Generated Node #2: [93, 3, 66] from Operation: 51+15=66
Current State: 71:[93, 3, 66], Operations: ['51+15=66']
Exploring Operation: 66/3=22, Resulting Numbers: [93, 22]
Generated Node #3: [93, 22] from Operation: 66/3=22
Current State: 71:[93, 22], Operations: ['51+15=66', '66/3=22']
Exploring Operation: 93-22=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
82,
37,
56,
15
] | 78 | [
"82+37=119",
"56-15=41",
"119-41=78"
] | Current State: 78:[82, 37, 56, 15], Operations: []
Exploring Operation: 82+37=119, Resulting Numbers: [56, 15, 119]
Generated Node #2: [56, 15, 119] from Operation: 82+37=119
Current State: 78:[56, 15, 119], Operations: ['82+37=119']
Exploring Operation: 56-15=41, Resulting Numbers: [119, 41]
Generated Node #3: [119, 41] from Operation: 56-15=41
Current State: 78:[119, 41], Operations: ['82+37=119', '56-15=41']
Exploring Operation: 119-41=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
9,
25,
48,
12
] | 69 | [
"12-9=3",
"48-25=23",
"3*23=69"
] | Current State: 69:[9, 25, 48, 12], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [25, 48, 3]
Generated Node #2: [25, 48, 3] from Operation: 12-9=3
Current State: 69:[25, 48, 3], Operations: ['12-9=3']
Exploring Operation: 48-25=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 48-25=23
Current State: 69:[3, 23], Operations: ['12-9=3', '48-25=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
79,
84,
67,
77
] | 19 | [
"79+84=163",
"67+77=144",
"163-144=19"
] | Current State: 19:[79, 84, 67, 77], Operations: []
Exploring Operation: 79+84=163, Resulting Numbers: [67, 77, 163]
Generated Node #2: [67, 77, 163] from Operation: 79+84=163
Current State: 19:[67, 77, 163], Operations: ['79+84=163']
Exploring Operation: 67+77=144, Resulting Numbers: [163, 144]
Generated Node #3: [163, 144] from Operation: 67+77=144
Current State: 19:[163, 144], Operations: ['79+84=163', '67+77=144']
Exploring Operation: 163-144=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
64,
16,
93,
15
] | 61 | [
"16+15=31",
"93/31=3",
"64-3=61"
] | Current State: 61:[64, 16, 93, 15], Operations: []
Exploring Operation: 16+15=31, Resulting Numbers: [64, 93, 31]
Generated Node #2: [64, 93, 31] from Operation: 16+15=31
Current State: 61:[64, 93, 31], Operations: ['16+15=31']
Exploring Operation: 93/31=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 93/31=3
Current State: 61:[64, 3], Operations: ['16+15=31', '93/31=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
19,
26,
43,
40
] | 57 | [
"26*40=1040",
"43+1040=1083",
"1083/19=57"
] | Current State: 57:[19, 26, 43, 40], Operations: []
Exploring Operation: 26*40=1040, Resulting Numbers: [19, 43, 1040]
Generated Node #2: [19, 43, 1040] from Operation: 26*40=1040
Current State: 57:[19, 43, 1040], Operations: ['26*40=1040']
Exploring Operation: 43+1040=1083, Resulting Numbers: [19, 1083]
Generated Node #3: [19, 1083] from Operation: 43+1040=1083
Current State: 57:[19, 1083], Operations: ['26*40=1040', '43+1040=1083']
Exploring Operation: 1083/19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
81,
70,
62,
83
] | 11 | [
"81+62=143",
"83-70=13",
"143/13=11"
] | Current State: 11:[81, 70, 62, 83], Operations: []
Exploring Operation: 81+62=143, Resulting Numbers: [70, 83, 143]
Generated Node #2: [70, 83, 143] from Operation: 81+62=143
Current State: 11:[70, 83, 143], Operations: ['81+62=143']
Exploring Operation: 83-70=13, Resulting Numbers: [143, 13]
Generated Node #3: [143, 13] from Operation: 83-70=13
Current State: 11:[143, 13], Operations: ['81+62=143', '83-70=13']
Exploring Operation: 143/13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
38,
79,
49,
9
] | 99 | [
"79-38=41",
"49+9=58",
"41+58=99"
] | Current State: 99:[38, 79, 49, 9], Operations: []
Exploring Operation: 79-38=41, Resulting Numbers: [49, 9, 41]
Generated Node #2: [49, 9, 41] from Operation: 79-38=41
Current State: 99:[49, 9, 41], Operations: ['79-38=41']
Exploring Operation: 49+9=58, Resulting Numbers: [41, 58]
Generated Node #3: [41, 58] from Operation: 49+9=58
Current State: 99:[41, 58], Operations: ['79-38=41', '49+9=58']
Exploring Operation: 41+58=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
29,
2,
76,
53
] | 50 | [
"29-2=27",
"76-53=23",
"27+23=50"
] | Current State: 50:[29, 2, 76, 53], Operations: []
Exploring Operation: 29-2=27, Resulting Numbers: [76, 53, 27]
Generated Node #2: [76, 53, 27] from Operation: 29-2=27
Current State: 50:[76, 53, 27], Operations: ['29-2=27']
Exploring Operation: 76-53=23, Resulting Numbers: [27, 23]
Generated Node #3: [27, 23] from Operation: 76-53=23
Current State: 50:[27, 23], Operations: ['29-2=27', '76-53=23']
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
24,
86,
82,
16
] | 28 | [
"86-82=4",
"16/4=4",
"24+4=28"
] | Current State: 28:[24, 86, 82, 16], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [24, 16, 4]
Generated Node #2: [24, 16, 4] from Operation: 86-82=4
Current State: 28:[24, 16, 4], Operations: ['86-82=4']
Exploring Operation: 16/4=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 16/4=4
Current State: 28:[24, 4], Operations: ['86-82=4', '16/4=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
29,
16,
57,
86
] | 16 | [
"29+16=45",
"86-57=29",
"45-29=16"
] | Current State: 16:[29, 16, 57, 86], Operations: []
Exploring Operation: 29+16=45, Resulting Numbers: [57, 86, 45]
Generated Node #2: [57, 86, 45] from Operation: 29+16=45
Current State: 16:[57, 86, 45], Operations: ['29+16=45']
Exploring Operation: 86-57=29, Resulting Numbers: [45, 29]
Generated Node #3: [45, 29] from Operation: 86-57=29
Current State: 16:[45, 29], Operations: ['29+16=45', '86-57=29']
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
43,
73,
66,
16
] | 69 | [
"73-66=7",
"16*7=112",
"112-43=69"
] | Current State: 69:[43, 73, 66, 16], Operations: []
Exploring Operation: 73-66=7, Resulting Numbers: [43, 16, 7]
Generated Node #2: [43, 16, 7] from Operation: 73-66=7
Current State: 69:[43, 16, 7], Operations: ['73-66=7']
Exploring Operation: 16*7=112, Resulting Numbers: [43, 112]
Generated Node #3: [43, 112] from Operation: 16*7=112
Current State: 69:[43, 112], Operations: ['73-66=7', '16*7=112']
Exploring Operation: 112-43=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
88,
9,
15,
53
] | 17 | [
"53-9=44",
"88/44=2",
"15+2=17"
] | Current State: 17:[88, 9, 15, 53], Operations: []
Exploring Operation: 53-9=44, Resulting Numbers: [88, 15, 44]
Generated Node #2: [88, 15, 44] from Operation: 53-9=44
Current State: 17:[88, 15, 44], Operations: ['53-9=44']
Exploring Operation: 88/44=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 88/44=2
Current State: 17:[15, 2], Operations: ['53-9=44', '88/44=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
10,
36,
87,
34
] | 27 | [
"36-10=26",
"87-34=53",
"53-26=27"
] | Current State: 27:[10, 36, 87, 34], Operations: []
Exploring Operation: 36-10=26, Resulting Numbers: [87, 34, 26]
Generated Node #2: [87, 34, 26] from Operation: 36-10=26
Current State: 27:[87, 34, 26], Operations: ['36-10=26']
Exploring Operation: 87-34=53, Resulting Numbers: [26, 53]
Generated Node #3: [26, 53] from Operation: 87-34=53
Current State: 27:[26, 53], Operations: ['36-10=26', '87-34=53']
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
75,
3,
58,
2
] | 93 | [
"58-2=56",
"3*56=168",
"168-75=93"
] | Current State: 93:[75, 3, 58, 2], Operations: []
Exploring Operation: 58-2=56, Resulting Numbers: [75, 3, 56]
Generated Node #2: [75, 3, 56] from Operation: 58-2=56
Current State: 93:[75, 3, 56], Operations: ['58-2=56']
Exploring Operation: 3*56=168, Resulting Numbers: [75, 168]
Generated Node #3: [75, 168] from Operation: 3*56=168
Current State: 93:[75, 168], Operations: ['58-2=56', '3*56=168']
Exploring Operation: 168-75=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
23,
5,
1,
26
] | 18 | [
"26-23=3",
"5+1=6",
"3*6=18"
] | Current State: 18:[23, 5, 1, 26], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [5, 1, 3]
Generated Node #2: [5, 1, 3] from Operation: 26-23=3
Current State: 18:[5, 1, 3], Operations: ['26-23=3']
Exploring Operation: 5+1=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 5+1=6
Current State: 18:[3, 6], Operations: ['26-23=3', '5+1=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
59,
21,
58,
60
] | 78 | [
"59+21=80",
"60-58=2",
"80-2=78"
] | Current State: 78:[59, 21, 58, 60], Operations: []
Exploring Operation: 59+21=80, Resulting Numbers: [58, 60, 80]
Generated Node #2: [58, 60, 80] from Operation: 59+21=80
Current State: 78:[58, 60, 80], Operations: ['59+21=80']
Exploring Operation: 60-58=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 60-58=2
Current State: 78:[80, 2], Operations: ['59+21=80', '60-58=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
48,
75,
3,
43
] | 26 | [
"48*3=144",
"75+43=118",
"144-118=26"
] | Current State: 26:[48, 75, 3, 43], Operations: []
Exploring Operation: 48*3=144, Resulting Numbers: [75, 43, 144]
Generated Node #2: [75, 43, 144] from Operation: 48*3=144
Current State: 26:[75, 43, 144], Operations: ['48*3=144']
Exploring Operation: 75+43=118, Resulting Numbers: [144, 118]
Generated Node #3: [144, 118] from Operation: 75+43=118
Current State: 26:[144, 118], Operations: ['48*3=144', '75+43=118']
Exploring Operation: 144-118=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
61,
46,
7,
11
] | 33 | [
"61-46=15",
"7+11=18",
"15+18=33"
] | Current State: 33:[61, 46, 7, 11], Operations: []
Exploring Operation: 61-46=15, Resulting Numbers: [7, 11, 15]
Generated Node #2: [7, 11, 15] from Operation: 61-46=15
Current State: 33:[7, 11, 15], Operations: ['61-46=15']
Exploring Operation: 7+11=18, Resulting Numbers: [15, 18]
Generated Node #3: [15, 18] from Operation: 7+11=18
Current State: 33:[15, 18], Operations: ['61-46=15', '7+11=18']
Exploring Operation: 15+18=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
31,
78,
2,
46
] | 62 | [
"31*2=62",
"78+46=124",
"124-62=62"
] | Current State: 62:[31, 78, 2, 46], Operations: []
Exploring Operation: 31*2=62, Resulting Numbers: [78, 46, 62]
Generated Node #2: [78, 46, 62] from Operation: 31*2=62
Current State: 62:[78, 46, 62], Operations: ['31*2=62']
Exploring Operation: 78+46=124, Resulting Numbers: [62, 124]
Generated Node #3: [62, 124] from Operation: 78+46=124
Current State: 62:[62, 124], Operations: ['31*2=62', '78+46=124']
Exploring Operation: 124-62=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
13,
80,
52,
85
] | 100 | [
"80-13=67",
"85-52=33",
"67+33=100"
] | Current State: 100:[13, 80, 52, 85], Operations: []
Exploring Operation: 80-13=67, Resulting Numbers: [52, 85, 67]
Generated Node #2: [52, 85, 67] from Operation: 80-13=67
Current State: 100:[52, 85, 67], Operations: ['80-13=67']
Exploring Operation: 85-52=33, Resulting Numbers: [67, 33]
Generated Node #3: [67, 33] from Operation: 85-52=33
Current State: 100:[67, 33], Operations: ['80-13=67', '85-52=33']
Exploring Operation: 67+33=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
13,
98,
16,
51
] | 18 | [
"98-13=85",
"16+51=67",
"85-67=18"
] | Current State: 18:[13, 98, 16, 51], Operations: []
Exploring Operation: 98-13=85, Resulting Numbers: [16, 51, 85]
Generated Node #2: [16, 51, 85] from Operation: 98-13=85
Current State: 18:[16, 51, 85], Operations: ['98-13=85']
Exploring Operation: 16+51=67, Resulting Numbers: [85, 67]
Generated Node #3: [85, 67] from Operation: 16+51=67
Current State: 18:[85, 67], Operations: ['98-13=85', '16+51=67']
Exploring Operation: 85-67=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
71,
16,
79,
19
] | 24 | [
"79-71=8",
"19-16=3",
"8*3=24"
] | Current State: 24:[71, 16, 79, 19], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [16, 19, 8]
Generated Node #2: [16, 19, 8] from Operation: 79-71=8
Current State: 24:[16, 19, 8], Operations: ['79-71=8']
Exploring Operation: 19-16=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 19-16=3
Current State: 24:[8, 3], Operations: ['79-71=8', '19-16=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
1,
48,
54,
52
] | 46 | [
"1*48=48",
"54-52=2",
"48-2=46"
] | Current State: 46:[1, 48, 54, 52], Operations: []
Exploring Operation: 1*48=48, Resulting Numbers: [54, 52, 48]
Generated Node #2: [54, 52, 48] from Operation: 1*48=48
Current State: 46:[54, 52, 48], Operations: ['1*48=48']
Exploring Operation: 54-52=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 54-52=2
Current State: 46:[48, 2], Operations: ['1*48=48', '54-52=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
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