nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
35,
96,
9,
68
] | 65 | [
"96+9=105",
"105/35=3",
"68-3=65"
] | Current State: 65:[35, 96, 9, 68], Operations: []
Exploring Operation: 96+9=105, Resulting Numbers: [35, 68, 105]
Generated Node #2: [35, 68, 105] from Operation: 96+9=105
Current State: 65:[35, 68, 105], Operations: ['96+9=105']
Exploring Operation: 105/35=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 105/35=3
Current State: 65:[68, 3], Operations: ['96+9=105', '105/35=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
61,
2,
37,
22
] | 78 | [
"61+2=63",
"37-22=15",
"63+15=78"
] | Current State: 78:[61, 2, 37, 22], Operations: []
Exploring Operation: 61+2=63, Resulting Numbers: [37, 22, 63]
Generated Node #2: [37, 22, 63] from Operation: 61+2=63
Current State: 78:[37, 22, 63], Operations: ['61+2=63']
Exploring Operation: 37-22=15, Resulting Numbers: [63, 15]
Generated Node #3: [63, 15] from Operation: 37-22=15
Current State: 78:[63, 15], Operations: ['61+2=63', '37-22=15']
Exploring Operation: 63+15=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
60,
19,
11,
78
] | 76 | [
"19+11=30",
"60/30=2",
"78-2=76"
] | Current State: 76:[60, 19, 11, 78], Operations: []
Exploring Operation: 19+11=30, Resulting Numbers: [60, 78, 30]
Generated Node #2: [60, 78, 30] from Operation: 19+11=30
Current State: 76:[60, 78, 30], Operations: ['19+11=30']
Exploring Operation: 60/30=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 60/30=2
Current State: 76:[78, 2], Operations: ['19+11=30', '60/30=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
99,
90,
24,
98
] | 83 | [
"99-90=9",
"98-24=74",
"9+74=83"
] | Current State: 83:[99, 90, 24, 98], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [24, 98, 9]
Generated Node #2: [24, 98, 9] from Operation: 99-90=9
Current State: 83:[24, 98, 9], Operations: ['99-90=9']
Exploring Operation: 98-24=74, Resulting Numbers: [9, 74]
Generated Node #3: [9, 74] from Operation: 98-24=74
Current State: 83:[9, 74], Operations: ['99-90=9', '98-24=74']
Exploring Operation: 9+74=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
8,
70,
7,
16
] | 34 | [
"8+70=78",
"7*16=112",
"112-78=34"
] | Current State: 34:[8, 70, 7, 16], Operations: []
Exploring Operation: 8+70=78, Resulting Numbers: [7, 16, 78]
Generated Node #2: [7, 16, 78] from Operation: 8+70=78
Current State: 34:[7, 16, 78], Operations: ['8+70=78']
Exploring Operation: 7*16=112, Resulting Numbers: [78, 112]
Generated Node #3: [78, 112] from Operation: 7*16=112
Current State: 34:[78, 112], Operations: ['8+70=78', '7*16=112']
Exploring Operation: 112-78=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
63,
66,
2,
34
] | 97 | [
"63+66=129",
"34-2=32",
"129-32=97"
] | Current State: 97:[63, 66, 2, 34], Operations: []
Exploring Operation: 63+66=129, Resulting Numbers: [2, 34, 129]
Generated Node #2: [2, 34, 129] from Operation: 63+66=129
Current State: 97:[2, 34, 129], Operations: ['63+66=129']
Exploring Operation: 34-2=32, Resulting Numbers: [129, 32]
Generated Node #3: [129, 32] from Operation: 34-2=32
Current State: 97:[129, 32], Operations: ['63+66=129', '34-2=32']
Exploring Operation: 129-32=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
38,
2,
64,
81
] | 93 | [
"38*2=76",
"81-64=17",
"76+17=93"
] | Current State: 93:[38, 2, 64, 81], Operations: []
Exploring Operation: 38*2=76, Resulting Numbers: [64, 81, 76]
Generated Node #2: [64, 81, 76] from Operation: 38*2=76
Current State: 93:[64, 81, 76], Operations: ['38*2=76']
Exploring Operation: 81-64=17, Resulting Numbers: [76, 17]
Generated Node #3: [76, 17] from Operation: 81-64=17
Current State: 93:[76, 17], Operations: ['38*2=76', '81-64=17']
Exploring Operation: 76+17=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
42,
52,
66,
77
] | 83 | [
"42+52=94",
"77-66=11",
"94-11=83"
] | Current State: 83:[42, 52, 66, 77], Operations: []
Exploring Operation: 42+52=94, Resulting Numbers: [66, 77, 94]
Generated Node #2: [66, 77, 94] from Operation: 42+52=94
Current State: 83:[66, 77, 94], Operations: ['42+52=94']
Exploring Operation: 77-66=11, Resulting Numbers: [94, 11]
Generated Node #3: [94, 11] from Operation: 77-66=11
Current State: 83:[94, 11], Operations: ['42+52=94', '77-66=11']
Exploring Operation: 94-11=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
72,
30,
2,
32
] | 67 | [
"72+30=102",
"32+102=134",
"134/2=67"
] | Current State: 67:[72, 30, 2, 32], Operations: []
Exploring Operation: 72+30=102, Resulting Numbers: [2, 32, 102]
Generated Node #2: [2, 32, 102] from Operation: 72+30=102
Current State: 67:[2, 32, 102], Operations: ['72+30=102']
Exploring Operation: 32+102=134, Resulting Numbers: [2, 134]
Generated Node #3: [2, 134] from Operation: 32+102=134
Current State: 67:[2, 134], Operations: ['72+30=102', '32+102=134']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
25,
67,
80,
5
] | 21 | [
"25*67=1675",
"5+1675=1680",
"1680/80=21"
] | Current State: 21:[25, 67, 80, 5], Operations: []
Exploring Operation: 25*67=1675, Resulting Numbers: [80, 5, 1675]
Generated Node #2: [80, 5, 1675] from Operation: 25*67=1675
Current State: 21:[80, 5, 1675], Operations: ['25*67=1675']
Exploring Operation: 5+1675=1680, Resulting Numbers: [80, 1680]
Generated Node #3: [80, 1680] from Operation: 5+1675=1680
Current State: 21:[80, 1680], Operations: ['25*67=1675', '5+1675=1680']
Exploring Operation: 1680/80=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
51,
57,
58,
41
] | 10 | [
"51-41=10",
"58-57=1",
"10*1=10"
] | Current State: 10:[51, 57, 58, 41], Operations: []
Exploring Operation: 51-41=10, Resulting Numbers: [57, 58, 10]
Generated Node #2: [57, 58, 10] from Operation: 51-41=10
Current State: 10:[57, 58, 10], Operations: ['51-41=10']
Exploring Operation: 58-57=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 58-57=1
Current State: 10:[10, 1], Operations: ['51-41=10', '58-57=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
54,
62,
6,
6
] | 84 | [
"62-54=8",
"6+8=14",
"6*14=84"
] | Current State: 84:[54, 62, 6, 6], Operations: []
Exploring Operation: 62-54=8, Resulting Numbers: [6, 6, 8]
Generated Node #2: [6, 6, 8] from Operation: 62-54=8
Current State: 84:[6, 6, 8], Operations: ['62-54=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,84 equal: Goal Reached
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
20,
10,
29,
4
] | 79 | [
"20*10=200",
"200/4=50",
"29+50=79"
] | Current State: 79:[20, 10, 29, 4], Operations: []
Exploring Operation: 20*10=200, Resulting Numbers: [29, 4, 200]
Generated Node #2: [29, 4, 200] from Operation: 20*10=200
Current State: 79:[29, 4, 200], Operations: ['20*10=200']
Exploring Operation: 200/4=50, Resulting Numbers: [29, 50]
Generated Node #3: [29, 50] from Operation: 200/4=50
Current State: 79:[29, 50], Operations: ['20*10=200', '200/4=50']
Exploring Operation: 29+50=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
31,
23,
26,
26
] | 53 | [
"31+23=54",
"26/26=1",
"54-1=53"
] | Current State: 53:[31, 23, 26, 26], Operations: []
Exploring Operation: 31+23=54, Resulting Numbers: [26, 26, 54]
Generated Node #2: [26, 26, 54] from Operation: 31+23=54
Current State: 53:[26, 26, 54], Operations: ['31+23=54']
Exploring Operation: 26/26=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 26/26=1
Current State: 53:[54, 1], Operations: ['31+23=54', '26/26=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
98,
12,
13,
2
] | 87 | [
"98+13=111",
"12*2=24",
"111-24=87"
] | Current State: 87:[98, 12, 13, 2], Operations: []
Exploring Operation: 98+13=111, Resulting Numbers: [12, 2, 111]
Generated Node #2: [12, 2, 111] from Operation: 98+13=111
Current State: 87:[12, 2, 111], Operations: ['98+13=111']
Exploring Operation: 12*2=24, Resulting Numbers: [111, 24]
Generated Node #3: [111, 24] from Operation: 12*2=24
Current State: 87:[111, 24], Operations: ['98+13=111', '12*2=24']
Exploring Operation: 111-24=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
45,
91,
14,
18
] | 89 | [
"18-14=4",
"45*4=180",
"180-91=89"
] | Current State: 89:[45, 91, 14, 18], Operations: []
Exploring Operation: 18-14=4, Resulting Numbers: [45, 91, 4]
Generated Node #2: [45, 91, 4] from Operation: 18-14=4
Current State: 89:[45, 91, 4], Operations: ['18-14=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: ['18-14=4', '45*4=180']
Exploring Operation: 180-91=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
60,
62,
59,
57
] | 58 | [
"62-60=2",
"59+57=116",
"116/2=58"
] | Current State: 58:[60, 62, 59, 57], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [59, 57, 2]
Generated Node #2: [59, 57, 2] from Operation: 62-60=2
Current State: 58:[59, 57, 2], Operations: ['62-60=2']
Exploring Operation: 59+57=116, Resulting Numbers: [2, 116]
Generated Node #3: [2, 116] from Operation: 59+57=116
Current State: 58:[2, 116], Operations: ['62-60=2', '59+57=116']
Exploring Operation: 116/2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
72,
92,
54,
67
] | 43 | [
"72+92=164",
"54+67=121",
"164-121=43"
] | Current State: 43:[72, 92, 54, 67], Operations: []
Exploring Operation: 72+92=164, Resulting Numbers: [54, 67, 164]
Generated Node #2: [54, 67, 164] from Operation: 72+92=164
Current State: 43:[54, 67, 164], Operations: ['72+92=164']
Exploring Operation: 54+67=121, Resulting Numbers: [164, 121]
Generated Node #3: [164, 121] from Operation: 54+67=121
Current State: 43:[164, 121], Operations: ['72+92=164', '54+67=121']
Exploring Operation: 164-121=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
96,
1,
5,
16
] | 100 | [
"5-1=4",
"16/4=4",
"96+4=100"
] | Current State: 100:[96, 1, 5, 16], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [96, 16, 4]
Generated Node #2: [96, 16, 4] from Operation: 5-1=4
Current State: 100:[96, 16, 4], Operations: ['5-1=4']
Exploring Operation: 16/4=4, Resulting Numbers: [96, 4]
Generated Node #3: [96, 4] from Operation: 16/4=4
Current State: 100:[96, 4], Operations: ['5-1=4', '16/4=4']
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
98,
49,
13,
99
] | 84 | [
"98/49=2",
"99-13=86",
"86-2=84"
] | Current State: 84:[98, 49, 13, 99], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [13, 99, 2]
Generated Node #2: [13, 99, 2] from Operation: 98/49=2
Current State: 84:[13, 99, 2], Operations: ['98/49=2']
Exploring Operation: 99-13=86, Resulting Numbers: [2, 86]
Generated Node #3: [2, 86] from Operation: 99-13=86
Current State: 84:[2, 86], Operations: ['98/49=2', '99-13=86']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
64,
89,
17,
67
] | 58 | [
"64+89=153",
"153/17=9",
"67-9=58"
] | Current State: 58:[64, 89, 17, 67], Operations: []
Exploring Operation: 64+89=153, Resulting Numbers: [17, 67, 153]
Generated Node #2: [17, 67, 153] from Operation: 64+89=153
Current State: 58:[17, 67, 153], Operations: ['64+89=153']
Exploring Operation: 153/17=9, Resulting Numbers: [67, 9]
Generated Node #3: [67, 9] from Operation: 153/17=9
Current State: 58:[67, 9], Operations: ['64+89=153', '153/17=9']
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
48,
64,
64,
30
] | 26 | [
"64-48=16",
"64/16=4",
"30-4=26"
] | Current State: 26:[48, 64, 64, 30], Operations: []
Exploring Operation: 64-48=16, Resulting Numbers: [30, 16]
Generated Node #2: [30, 16] from Operation: 64-48=16
Current State: 26:[30, 16], Operations: ['64-48=16']
Exploring Operation: 64/16=4, Resulting Numbers: [30, 4]
Generated Node #3: [30, 4] from Operation: 64/16=4
Current State: 26:[30, 4], Operations: ['64-48=16', '64/16=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
69,
88,
92,
29
] | 95 | [
"69*88=6072",
"6072/92=66",
"29+66=95"
] | Current State: 95:[69, 88, 92, 29], Operations: []
Exploring Operation: 69*88=6072, Resulting Numbers: [92, 29, 6072]
Generated Node #2: [92, 29, 6072] from Operation: 69*88=6072
Current State: 95:[92, 29, 6072], Operations: ['69*88=6072']
Exploring Operation: 6072/92=66, Resulting Numbers: [29, 66]
Generated Node #3: [29, 66] from Operation: 6072/92=66
Current State: 95:[29, 66], Operations: ['69*88=6072', '6072/92=66']
Exploring Operation: 29+66=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
59,
48,
7,
80
] | 98 | [
"59-48=11",
"7+80=87",
"11+87=98"
] | Current State: 98:[59, 48, 7, 80], Operations: []
Exploring Operation: 59-48=11, Resulting Numbers: [7, 80, 11]
Generated Node #2: [7, 80, 11] from Operation: 59-48=11
Current State: 98:[7, 80, 11], Operations: ['59-48=11']
Exploring Operation: 7+80=87, Resulting Numbers: [11, 87]
Generated Node #3: [11, 87] from Operation: 7+80=87
Current State: 98:[11, 87], Operations: ['59-48=11', '7+80=87']
Exploring Operation: 11+87=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
4,
52,
80,
30
] | 63 | [
"52/4=13",
"80-30=50",
"13+50=63"
] | Current State: 63:[4, 52, 80, 30], Operations: []
Exploring Operation: 52/4=13, Resulting Numbers: [80, 30, 13]
Generated Node #2: [80, 30, 13] from Operation: 52/4=13
Current State: 63:[80, 30, 13], Operations: ['52/4=13']
Exploring Operation: 80-30=50, Resulting Numbers: [13, 50]
Generated Node #3: [13, 50] from Operation: 80-30=50
Current State: 63:[13, 50], Operations: ['52/4=13', '80-30=50']
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
28,
26,
26,
88
] | 21 | [
"26*26=676",
"676-88=588",
"588/28=21"
] | Current State: 21:[28, 26, 26, 88], Operations: []
Exploring Operation: 26*26=676, Resulting Numbers: [28, 88, 676]
Generated Node #2: [28, 88, 676] from Operation: 26*26=676
Current State: 21:[28, 88, 676], Operations: ['26*26=676']
Exploring Operation: 676-88=588, Resulting Numbers: [28, 588]
Generated Node #3: [28, 588] from Operation: 676-88=588
Current State: 21:[28, 588], Operations: ['26*26=676', '676-88=588']
Exploring Operation: 588/28=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
59,
39,
96,
96
] | 99 | [
"59+39=98",
"96/96=1",
"98+1=99"
] | Current State: 99:[59, 39, 96, 96], Operations: []
Exploring Operation: 59+39=98, Resulting Numbers: [96, 96, 98]
Generated Node #2: [96, 96, 98] from Operation: 59+39=98
Current State: 99:[96, 96, 98], Operations: ['59+39=98']
Exploring Operation: 96/96=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 96/96=1
Current State: 99:[98, 1], Operations: ['59+39=98', '96/96=1']
Exploring Operation: 98+1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
56,
24,
58,
41
] | 67 | [
"56-24=32",
"58+41=99",
"99-32=67"
] | Current State: 67:[56, 24, 58, 41], Operations: []
Exploring Operation: 56-24=32, Resulting Numbers: [58, 41, 32]
Generated Node #2: [58, 41, 32] from Operation: 56-24=32
Current State: 67:[58, 41, 32], Operations: ['56-24=32']
Exploring Operation: 58+41=99, Resulting Numbers: [32, 99]
Generated Node #3: [32, 99] from Operation: 58+41=99
Current State: 67:[32, 99], Operations: ['56-24=32', '58+41=99']
Exploring Operation: 99-32=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
7,
31,
32,
71
] | 77 | [
"7+31=38",
"71-32=39",
"38+39=77"
] | Current State: 77:[7, 31, 32, 71], Operations: []
Exploring Operation: 7+31=38, Resulting Numbers: [32, 71, 38]
Generated Node #2: [32, 71, 38] from Operation: 7+31=38
Current State: 77:[32, 71, 38], Operations: ['7+31=38']
Exploring Operation: 71-32=39, Resulting Numbers: [38, 39]
Generated Node #3: [38, 39] from Operation: 71-32=39
Current State: 77:[38, 39], Operations: ['7+31=38', '71-32=39']
Exploring Operation: 38+39=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
37,
15,
57,
90
] | 18 | [
"37+15=52",
"57-52=5",
"90/5=18"
] | Current State: 18:[37, 15, 57, 90], Operations: []
Exploring Operation: 37+15=52, Resulting Numbers: [57, 90, 52]
Generated Node #2: [57, 90, 52] from Operation: 37+15=52
Current State: 18:[57, 90, 52], Operations: ['37+15=52']
Exploring Operation: 57-52=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 57-52=5
Current State: 18:[90, 5], Operations: ['37+15=52', '57-52=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
13,
39,
54,
84
] | 90 | [
"39/13=3",
"84-54=30",
"3*30=90"
] | Current State: 90:[13, 39, 54, 84], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [54, 84, 3]
Generated Node #2: [54, 84, 3] from Operation: 39/13=3
Current State: 90:[54, 84, 3], Operations: ['39/13=3']
Exploring Operation: 84-54=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 84-54=30
Current State: 90:[3, 30], Operations: ['39/13=3', '84-54=30']
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
87,
23,
41,
89
] | 36 | [
"89-87=2",
"41-23=18",
"2*18=36"
] | Current State: 36:[87, 23, 41, 89], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [23, 41, 2]
Generated Node #2: [23, 41, 2] from Operation: 89-87=2
Current State: 36:[23, 41, 2], Operations: ['89-87=2']
Exploring Operation: 41-23=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 41-23=18
Current State: 36:[2, 18], Operations: ['89-87=2', '41-23=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
16,
75,
17,
30
] | 25 | [
"16+17=33",
"33-30=3",
"75/3=25"
] | Current State: 25:[16, 75, 17, 30], Operations: []
Exploring Operation: 16+17=33, Resulting Numbers: [75, 30, 33]
Generated Node #2: [75, 30, 33] from Operation: 16+17=33
Current State: 25:[75, 30, 33], Operations: ['16+17=33']
Exploring Operation: 33-30=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 33-30=3
Current State: 25:[75, 3], Operations: ['16+17=33', '33-30=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
9,
14,
23,
6
] | 27 | [
"9-6=3",
"23-14=9",
"3*9=27"
] | Current State: 27:[9, 14, 23, 6], Operations: []
Exploring Operation: 9-6=3, Resulting Numbers: [14, 23, 3]
Generated Node #2: [14, 23, 3] from Operation: 9-6=3
Current State: 27:[14, 23, 3], Operations: ['9-6=3']
Exploring Operation: 23-14=9, Resulting Numbers: [3, 9]
Generated Node #3: [3, 9] from Operation: 23-14=9
Current State: 27:[3, 9], Operations: ['9-6=3', '23-14=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
86,
19,
38,
76
] | 44 | [
"86-38=48",
"76/19=4",
"48-4=44"
] | Current State: 44:[86, 19, 38, 76], Operations: []
Exploring Operation: 86-38=48, Resulting Numbers: [19, 76, 48]
Generated Node #2: [19, 76, 48] from Operation: 86-38=48
Current State: 44:[19, 76, 48], Operations: ['86-38=48']
Exploring Operation: 76/19=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 76/19=4
Current State: 44:[48, 4], Operations: ['86-38=48', '76/19=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
90,
9,
3,
34
] | 36 | [
"90*3=270",
"9*34=306",
"306-270=36"
] | Current State: 36:[90, 9, 3, 34], Operations: []
Exploring Operation: 90*3=270, Resulting Numbers: [9, 34, 270]
Generated Node #2: [9, 34, 270] from Operation: 90*3=270
Current State: 36:[9, 34, 270], Operations: ['90*3=270']
Exploring Operation: 9*34=306, Resulting Numbers: [270, 306]
Generated Node #3: [270, 306] from Operation: 9*34=306
Current State: 36:[270, 306], Operations: ['90*3=270', '9*34=306']
Exploring Operation: 306-270=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
80,
15,
62,
23
] | 72 | [
"23-15=8",
"80/8=10",
"62+10=72"
] | Current State: 72:[80, 15, 62, 23], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [80, 62, 8]
Generated Node #2: [80, 62, 8] from Operation: 23-15=8
Current State: 72:[80, 62, 8], Operations: ['23-15=8']
Exploring Operation: 80/8=10, Resulting Numbers: [62, 10]
Generated Node #3: [62, 10] from Operation: 80/8=10
Current State: 72:[62, 10], Operations: ['23-15=8', '80/8=10']
Exploring Operation: 62+10=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
38,
64,
94,
62
] | 85 | [
"64-62=2",
"94/2=47",
"38+47=85"
] | Current State: 85:[38, 64, 94, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [38, 94, 2]
Generated Node #2: [38, 94, 2] from Operation: 64-62=2
Current State: 85:[38, 94, 2], Operations: ['64-62=2']
Exploring Operation: 94/2=47, Resulting Numbers: [38, 47]
Generated Node #3: [38, 47] from Operation: 94/2=47
Current State: 85:[38, 47], Operations: ['64-62=2', '94/2=47']
Exploring Operation: 38+47=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
52,
95,
3,
3
] | 34 | [
"95-52=43",
"3*3=9",
"43-9=34"
] | Current State: 34:[52, 95, 3, 3], Operations: []
Exploring Operation: 95-52=43, Resulting Numbers: [3, 3, 43]
Generated Node #2: [3, 3, 43] from Operation: 95-52=43
Current State: 34:[3, 3, 43], Operations: ['95-52=43']
Exploring Operation: 3*3=9, Resulting Numbers: [43, 9]
Generated Node #3: [43, 9] from Operation: 3*3=9
Current State: 34:[43, 9], Operations: ['95-52=43', '3*3=9']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
38,
72,
85,
46
] | 21 | [
"38+72=110",
"85+46=131",
"131-110=21"
] | Current State: 21:[38, 72, 85, 46], Operations: []
Exploring Operation: 38+72=110, Resulting Numbers: [85, 46, 110]
Generated Node #2: [85, 46, 110] from Operation: 38+72=110
Current State: 21:[85, 46, 110], Operations: ['38+72=110']
Exploring Operation: 85+46=131, Resulting Numbers: [110, 131]
Generated Node #3: [110, 131] from Operation: 85+46=131
Current State: 21:[110, 131], Operations: ['38+72=110', '85+46=131']
Exploring Operation: 131-110=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
39,
86,
14,
52
] | 59 | [
"39+86=125",
"14+52=66",
"125-66=59"
] | Current State: 59:[39, 86, 14, 52], Operations: []
Exploring Operation: 39+86=125, Resulting Numbers: [14, 52, 125]
Generated Node #2: [14, 52, 125] from Operation: 39+86=125
Current State: 59:[14, 52, 125], Operations: ['39+86=125']
Exploring Operation: 14+52=66, Resulting Numbers: [125, 66]
Generated Node #3: [125, 66] from Operation: 14+52=66
Current State: 59:[125, 66], Operations: ['39+86=125', '14+52=66']
Exploring Operation: 125-66=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
64,
71,
7,
35
] | 35 | [
"71-64=7",
"7+35=42",
"42-7=35"
] | Current State: 35:[64, 71, 7, 35], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [7, 35, 7]
Generated Node #2: [7, 35, 7] from Operation: 71-64=7
Current State: 35:[7, 35, 7], Operations: ['71-64=7']
Exploring Operation: 7+35=42, Resulting Numbers: [42]
42,35 equal: Goal Reached
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
71,
63,
92,
92
] | 71 | [
"92-92=0",
"63*0=0",
"71+0=71"
] | Current State: 71:[71, 63, 92, 92], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [71, 63, 0]
Generated Node #2: [71, 63, 0] from Operation: 92-92=0
Current State: 71:[71, 63, 0], Operations: ['92-92=0']
Exploring Operation: 63*0=0, Resulting Numbers: [71, 0]
Generated Node #3: [71, 0] from Operation: 63*0=0
Current State: 71:[71, 0], Operations: ['92-92=0', '63*0=0']
Exploring Operation: 71+0=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
9,
37,
18,
54
] | 71 | [
"9*18=162",
"37+54=91",
"162-91=71"
] | Current State: 71:[9, 37, 18, 54], Operations: []
Exploring Operation: 9*18=162, Resulting Numbers: [37, 54, 162]
Generated Node #2: [37, 54, 162] from Operation: 9*18=162
Current State: 71:[37, 54, 162], Operations: ['9*18=162']
Exploring Operation: 37+54=91, Resulting Numbers: [162, 91]
Generated Node #3: [162, 91] from Operation: 37+54=91
Current State: 71:[162, 91], Operations: ['9*18=162', '37+54=91']
Exploring Operation: 162-91=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
41,
36,
76,
2
] | 86 | [
"41-36=5",
"2*5=10",
"76+10=86"
] | Current State: 86:[41, 36, 76, 2], Operations: []
Exploring Operation: 41-36=5, Resulting Numbers: [76, 2, 5]
Generated Node #2: [76, 2, 5] from Operation: 41-36=5
Current State: 86:[76, 2, 5], Operations: ['41-36=5']
Exploring Operation: 2*5=10, Resulting Numbers: [76, 10]
Generated Node #3: [76, 10] from Operation: 2*5=10
Current State: 86:[76, 10], Operations: ['41-36=5', '2*5=10']
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
23,
28,
59,
2
] | 27 | [
"28-23=5",
"59-5=54",
"54/2=27"
] | Current State: 27:[23, 28, 59, 2], Operations: []
Exploring Operation: 28-23=5, Resulting Numbers: [59, 2, 5]
Generated Node #2: [59, 2, 5] from Operation: 28-23=5
Current State: 27:[59, 2, 5], Operations: ['28-23=5']
Exploring Operation: 59-5=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 59-5=54
Current State: 27:[2, 54], Operations: ['28-23=5', '59-5=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
24,
77,
62,
71
] | 58 | [
"77-71=6",
"24/6=4",
"62-4=58"
] | Current State: 58:[24, 77, 62, 71], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [24, 62, 6]
Generated Node #2: [24, 62, 6] from Operation: 77-71=6
Current State: 58:[24, 62, 6], Operations: ['77-71=6']
Exploring Operation: 24/6=4, Resulting Numbers: [62, 4]
Generated Node #3: [62, 4] from Operation: 24/6=4
Current State: 58:[62, 4], Operations: ['77-71=6', '24/6=4']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
67,
77,
20,
63
] | 73 | [
"77-67=10",
"20+63=83",
"83-10=73"
] | Current State: 73:[67, 77, 20, 63], Operations: []
Exploring Operation: 77-67=10, Resulting Numbers: [20, 63, 10]
Generated Node #2: [20, 63, 10] from Operation: 77-67=10
Current State: 73:[20, 63, 10], Operations: ['77-67=10']
Exploring Operation: 20+63=83, Resulting Numbers: [10, 83]
Generated Node #3: [10, 83] from Operation: 20+63=83
Current State: 73:[10, 83], Operations: ['77-67=10', '20+63=83']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
27,
57,
17
] | 51 | [
"2*27=54",
"57-54=3",
"17*3=51"
] | Current State: 51:[2, 27, 57, 17], Operations: []
Exploring Operation: 2*27=54, Resulting Numbers: [57, 17, 54]
Generated Node #2: [57, 17, 54] from Operation: 2*27=54
Current State: 51:[57, 17, 54], Operations: ['2*27=54']
Exploring Operation: 57-54=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 57-54=3
Current State: 51:[17, 3], Operations: ['2*27=54', '57-54=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
44,
76,
16,
84
] | 88 | [
"44*16=704",
"84-76=8",
"704/8=88"
] | Current State: 88:[44, 76, 16, 84], Operations: []
Exploring Operation: 44*16=704, Resulting Numbers: [76, 84, 704]
Generated Node #2: [76, 84, 704] from Operation: 44*16=704
Current State: 88:[76, 84, 704], Operations: ['44*16=704']
Exploring Operation: 84-76=8, Resulting Numbers: [704, 8]
Generated Node #3: [704, 8] from Operation: 84-76=8
Current State: 88:[704, 8], Operations: ['44*16=704', '84-76=8']
Exploring Operation: 704/8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
41,
11,
34,
69
] | 87 | [
"41+11=52",
"69-34=35",
"52+35=87"
] | Current State: 87:[41, 11, 34, 69], Operations: []
Exploring Operation: 41+11=52, Resulting Numbers: [34, 69, 52]
Generated Node #2: [34, 69, 52] from Operation: 41+11=52
Current State: 87:[34, 69, 52], Operations: ['41+11=52']
Exploring Operation: 69-34=35, Resulting Numbers: [52, 35]
Generated Node #3: [52, 35] from Operation: 69-34=35
Current State: 87:[52, 35], Operations: ['41+11=52', '69-34=35']
Exploring Operation: 52+35=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
27,
67,
19,
97
] | 57 | [
"27+67=94",
"97-94=3",
"19*3=57"
] | Current State: 57:[27, 67, 19, 97], Operations: []
Exploring Operation: 27+67=94, Resulting Numbers: [19, 97, 94]
Generated Node #2: [19, 97, 94] from Operation: 27+67=94
Current State: 57:[19, 97, 94], Operations: ['27+67=94']
Exploring Operation: 97-94=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 97-94=3
Current State: 57:[19, 3], Operations: ['27+67=94', '97-94=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
48,
96,
70,
36
] | 32 | [
"96/48=2",
"70-36=34",
"34-2=32"
] | Current State: 32:[48, 96, 70, 36], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [70, 36, 2]
Generated Node #2: [70, 36, 2] from Operation: 96/48=2
Current State: 32:[70, 36, 2], Operations: ['96/48=2']
Exploring Operation: 70-36=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 70-36=34
Current State: 32:[2, 34], Operations: ['96/48=2', '70-36=34']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
49,
54,
2,
27
] | 45 | [
"49-2=47",
"54/27=2",
"47-2=45"
] | Current State: 45:[49, 54, 2, 27], Operations: []
Exploring Operation: 49-2=47, Resulting Numbers: [54, 27, 47]
Generated Node #2: [54, 27, 47] from Operation: 49-2=47
Current State: 45:[54, 27, 47], Operations: ['49-2=47']
Exploring Operation: 54/27=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 54/27=2
Current State: 45:[47, 2], Operations: ['49-2=47', '54/27=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
42,
91,
77
] | 31 | [
"3+42=45",
"91-77=14",
"45-14=31"
] | Current State: 31:[3, 42, 91, 77], Operations: []
Exploring Operation: 3+42=45, Resulting Numbers: [91, 77, 45]
Generated Node #2: [91, 77, 45] from Operation: 3+42=45
Current State: 31:[91, 77, 45], Operations: ['3+42=45']
Exploring Operation: 91-77=14, Resulting Numbers: [45, 14]
Generated Node #3: [45, 14] from Operation: 91-77=14
Current State: 31:[45, 14], Operations: ['3+42=45', '91-77=14']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
11,
72,
18,
3
] | 17 | [
"18-11=7",
"72/3=24",
"24-7=17"
] | Current State: 17:[11, 72, 18, 3], Operations: []
Exploring Operation: 18-11=7, Resulting Numbers: [72, 3, 7]
Generated Node #2: [72, 3, 7] from Operation: 18-11=7
Current State: 17:[72, 3, 7], Operations: ['18-11=7']
Exploring Operation: 72/3=24, Resulting Numbers: [7, 24]
Generated Node #3: [7, 24] from Operation: 72/3=24
Current State: 17:[7, 24], Operations: ['18-11=7', '72/3=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
87,
24,
43,
11
] | 10 | [
"87+43=130",
"24-11=13",
"130/13=10"
] | Current State: 10:[87, 24, 43, 11], Operations: []
Exploring Operation: 87+43=130, Resulting Numbers: [24, 11, 130]
Generated Node #2: [24, 11, 130] from Operation: 87+43=130
Current State: 10:[24, 11, 130], Operations: ['87+43=130']
Exploring Operation: 24-11=13, Resulting Numbers: [130, 13]
Generated Node #3: [130, 13] from Operation: 24-11=13
Current State: 10:[130, 13], Operations: ['87+43=130', '24-11=13']
Exploring Operation: 130/13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
88,
15,
27,
17
] | 83 | [
"88-15=73",
"27-17=10",
"73+10=83"
] | Current State: 83:[88, 15, 27, 17], Operations: []
Exploring Operation: 88-15=73, Resulting Numbers: [27, 17, 73]
Generated Node #2: [27, 17, 73] from Operation: 88-15=73
Current State: 83:[27, 17, 73], Operations: ['88-15=73']
Exploring Operation: 27-17=10, Resulting Numbers: [73, 10]
Generated Node #3: [73, 10] from Operation: 27-17=10
Current State: 83:[73, 10], Operations: ['88-15=73', '27-17=10']
Exploring Operation: 73+10=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
74,
5,
28,
21
] | 72 | [
"74+5=79",
"28-21=7",
"79-7=72"
] | Current State: 72:[74, 5, 28, 21], Operations: []
Exploring Operation: 74+5=79, Resulting Numbers: [28, 21, 79]
Generated Node #2: [28, 21, 79] from Operation: 74+5=79
Current State: 72:[28, 21, 79], Operations: ['74+5=79']
Exploring Operation: 28-21=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 28-21=7
Current State: 72:[79, 7], Operations: ['74+5=79', '28-21=7']
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
57,
30,
32,
87
] | 33 | [
"57+30=87",
"87/87=1",
"32+1=33"
] | Current State: 33:[57, 30, 32, 87], Operations: []
Exploring Operation: 57+30=87, Resulting Numbers: [32, 87, 87]
Generated Node #2: [32, 87, 87] from Operation: 57+30=87
Current State: 33:[32, 87, 87], Operations: ['57+30=87']
Exploring Operation: 87/87=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 87/87=1
Current State: 33:[32, 1], Operations: ['57+30=87', '87/87=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
5,
47,
21,
58
] | 94 | [
"5*21=105",
"58-47=11",
"105-11=94"
] | Current State: 94:[5, 47, 21, 58], Operations: []
Exploring Operation: 5*21=105, Resulting Numbers: [47, 58, 105]
Generated Node #2: [47, 58, 105] from Operation: 5*21=105
Current State: 94:[47, 58, 105], Operations: ['5*21=105']
Exploring Operation: 58-47=11, Resulting Numbers: [105, 11]
Generated Node #3: [105, 11] from Operation: 58-47=11
Current State: 94:[105, 11], Operations: ['5*21=105', '58-47=11']
Exploring Operation: 105-11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
75,
45,
12,
90
] | 42 | [
"75+45=120",
"90-12=78",
"120-78=42"
] | Current State: 42:[75, 45, 12, 90], Operations: []
Exploring Operation: 75+45=120, Resulting Numbers: [12, 90, 120]
Generated Node #2: [12, 90, 120] from Operation: 75+45=120
Current State: 42:[12, 90, 120], Operations: ['75+45=120']
Exploring Operation: 90-12=78, Resulting Numbers: [120, 78]
Generated Node #3: [120, 78] from Operation: 90-12=78
Current State: 42:[120, 78], Operations: ['75+45=120', '90-12=78']
Exploring Operation: 120-78=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
42,
29,
23,
59
] | 23 | [
"42-29=13",
"59-23=36",
"36-13=23"
] | Current State: 23:[42, 29, 23, 59], Operations: []
Exploring Operation: 42-29=13, Resulting Numbers: [23, 59, 13]
Generated Node #2: [23, 59, 13] from Operation: 42-29=13
Current State: 23:[23, 59, 13], Operations: ['42-29=13']
Exploring Operation: 59-23=36, Resulting Numbers: [13, 36]
Generated Node #3: [13, 36] from Operation: 59-23=36
Current State: 23:[13, 36], Operations: ['42-29=13', '59-23=36']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
46,
76,
24,
44
] | 38 | [
"76-46=30",
"24+44=68",
"68-30=38"
] | Current State: 38:[46, 76, 24, 44], Operations: []
Exploring Operation: 76-46=30, Resulting Numbers: [24, 44, 30]
Generated Node #2: [24, 44, 30] from Operation: 76-46=30
Current State: 38:[24, 44, 30], Operations: ['76-46=30']
Exploring Operation: 24+44=68, Resulting Numbers: [30, 68]
Generated Node #3: [30, 68] from Operation: 24+44=68
Current State: 38:[30, 68], Operations: ['76-46=30', '24+44=68']
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
79,
6,
77,
8
] | 75 | [
"8-6=2",
"77*2=154",
"154-79=75"
] | Current State: 75:[79, 6, 77, 8], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [79, 77, 2]
Generated Node #2: [79, 77, 2] from Operation: 8-6=2
Current State: 75:[79, 77, 2], Operations: ['8-6=2']
Exploring Operation: 77*2=154, Resulting Numbers: [79, 154]
Generated Node #3: [79, 154] from Operation: 77*2=154
Current State: 75:[79, 154], Operations: ['8-6=2', '77*2=154']
Exploring Operation: 154-79=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
8,
61,
10,
60
] | 59 | [
"61-8=53",
"60/10=6",
"53+6=59"
] | Current State: 59:[8, 61, 10, 60], Operations: []
Exploring Operation: 61-8=53, Resulting Numbers: [10, 60, 53]
Generated Node #2: [10, 60, 53] from Operation: 61-8=53
Current State: 59:[10, 60, 53], Operations: ['61-8=53']
Exploring Operation: 60/10=6, Resulting Numbers: [53, 6]
Generated Node #3: [53, 6] from Operation: 60/10=6
Current State: 59:[53, 6], Operations: ['61-8=53', '60/10=6']
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
40,
3,
64,
18
] | 24 | [
"18-3=15",
"64*15=960",
"960/40=24"
] | Current State: 24:[40, 3, 64, 18], Operations: []
Exploring Operation: 18-3=15, Resulting Numbers: [40, 64, 15]
Generated Node #2: [40, 64, 15] from Operation: 18-3=15
Current State: 24:[40, 64, 15], Operations: ['18-3=15']
Exploring Operation: 64*15=960, Resulting Numbers: [40, 960]
Generated Node #3: [40, 960] from Operation: 64*15=960
Current State: 24:[40, 960], Operations: ['18-3=15', '64*15=960']
Exploring Operation: 960/40=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
66,
21,
21,
80
] | 15 | [
"80-66=14",
"21/21=1",
"14+1=15"
] | Current State: 15:[66, 21, 21, 80], Operations: []
Exploring Operation: 80-66=14, Resulting Numbers: [21, 21, 14]
Generated Node #2: [21, 21, 14] from Operation: 80-66=14
Current State: 15:[21, 21, 14], Operations: ['80-66=14']
Exploring Operation: 21/21=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 21/21=1
Current State: 15:[14, 1], Operations: ['80-66=14', '21/21=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
62,
84,
89,
12
] | 10 | [
"62-12=50",
"89-84=5",
"50/5=10"
] | Current State: 10:[62, 84, 89, 12], Operations: []
Exploring Operation: 62-12=50, Resulting Numbers: [84, 89, 50]
Generated Node #2: [84, 89, 50] from Operation: 62-12=50
Current State: 10:[84, 89, 50], Operations: ['62-12=50']
Exploring Operation: 89-84=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 89-84=5
Current State: 10:[50, 5], Operations: ['62-12=50', '89-84=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
37,
63,
34,
8
] | 52 | [
"63-37=26",
"34-8=26",
"26+26=52"
] | Current State: 52:[37, 63, 34, 8], Operations: []
Exploring Operation: 63-37=26, Resulting Numbers: [34, 8, 26]
Generated Node #2: [34, 8, 26] from Operation: 63-37=26
Current State: 52:[34, 8, 26], Operations: ['63-37=26']
Exploring Operation: 34-8=26, Resulting Numbers: [26, 26]
Generated Node #3: [26, 26] from Operation: 34-8=26
Current State: 52:[26, 26], Operations: ['63-37=26', '34-8=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
5,
1,
92,
76
] | 75 | [
"92-1=91",
"91-76=15",
"5*15=75"
] | Current State: 75:[5, 1, 92, 76], Operations: []
Exploring Operation: 92-1=91, Resulting Numbers: [5, 76, 91]
Generated Node #2: [5, 76, 91] from Operation: 92-1=91
Current State: 75:[5, 76, 91], Operations: ['92-1=91']
Exploring Operation: 91-76=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 91-76=15
Current State: 75:[5, 15], Operations: ['92-1=91', '91-76=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
63,
49,
40,
8
] | 70 | [
"63-49=14",
"40/8=5",
"14*5=70"
] | Current State: 70:[63, 49, 40, 8], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [40, 8, 14]
Generated Node #2: [40, 8, 14] from Operation: 63-49=14
Current State: 70:[40, 8, 14], Operations: ['63-49=14']
Exploring Operation: 40/8=5, Resulting Numbers: [14, 5]
Generated Node #3: [14, 5] from Operation: 40/8=5
Current State: 70:[14, 5], Operations: ['63-49=14', '40/8=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
39,
57,
70,
12
] | 38 | [
"39+57=96",
"70-12=58",
"96-58=38"
] | Current State: 38:[39, 57, 70, 12], Operations: []
Exploring Operation: 39+57=96, Resulting Numbers: [70, 12, 96]
Generated Node #2: [70, 12, 96] from Operation: 39+57=96
Current State: 38:[70, 12, 96], Operations: ['39+57=96']
Exploring Operation: 70-12=58, Resulting Numbers: [96, 58]
Generated Node #3: [96, 58] from Operation: 70-12=58
Current State: 38:[96, 58], Operations: ['39+57=96', '70-12=58']
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
97,
45,
20,
8
] | 79 | [
"45*8=360",
"360/20=18",
"97-18=79"
] | Current State: 79:[97, 45, 20, 8], Operations: []
Exploring Operation: 45*8=360, Resulting Numbers: [97, 20, 360]
Generated Node #2: [97, 20, 360] from Operation: 45*8=360
Current State: 79:[97, 20, 360], Operations: ['45*8=360']
Exploring Operation: 360/20=18, Resulting Numbers: [97, 18]
Generated Node #3: [97, 18] from Operation: 360/20=18
Current State: 79:[97, 18], Operations: ['45*8=360', '360/20=18']
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
49,
40,
30,
92
] | 33 | [
"49+40=89",
"30+92=122",
"122-89=33"
] | Current State: 33:[49, 40, 30, 92], Operations: []
Exploring Operation: 49+40=89, Resulting Numbers: [30, 92, 89]
Generated Node #2: [30, 92, 89] from Operation: 49+40=89
Current State: 33:[30, 92, 89], Operations: ['49+40=89']
Exploring Operation: 30+92=122, Resulting Numbers: [89, 122]
Generated Node #3: [89, 122] from Operation: 30+92=122
Current State: 33:[89, 122], Operations: ['49+40=89', '30+92=122']
Exploring Operation: 122-89=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
36,
89,
98,
94
] | 55 | [
"98-94=4",
"36*4=144",
"144-89=55"
] | Current State: 55:[36, 89, 98, 94], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [36, 89, 4]
Generated Node #2: [36, 89, 4] from Operation: 98-94=4
Current State: 55:[36, 89, 4], Operations: ['98-94=4']
Exploring Operation: 36*4=144, Resulting Numbers: [89, 144]
Generated Node #3: [89, 144] from Operation: 36*4=144
Current State: 55:[89, 144], Operations: ['98-94=4', '36*4=144']
Exploring Operation: 144-89=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
63,
32,
76,
55
] | 96 | [
"63*32=2016",
"76-55=21",
"2016/21=96"
] | Current State: 96:[63, 32, 76, 55], Operations: []
Exploring Operation: 63*32=2016, Resulting Numbers: [76, 55, 2016]
Generated Node #2: [76, 55, 2016] from Operation: 63*32=2016
Current State: 96:[76, 55, 2016], Operations: ['63*32=2016']
Exploring Operation: 76-55=21, Resulting Numbers: [2016, 21]
Generated Node #3: [2016, 21] from Operation: 76-55=21
Current State: 96:[2016, 21], Operations: ['63*32=2016', '76-55=21']
Exploring Operation: 2016/21=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
40,
26,
12,
34
] | 52 | [
"40-34=6",
"26*12=312",
"312/6=52"
] | Current State: 52:[40, 26, 12, 34], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [26, 12, 6]
Generated Node #2: [26, 12, 6] from Operation: 40-34=6
Current State: 52:[26, 12, 6], Operations: ['40-34=6']
Exploring Operation: 26*12=312, Resulting Numbers: [6, 312]
Generated Node #3: [6, 312] from Operation: 26*12=312
Current State: 52:[6, 312], Operations: ['40-34=6', '26*12=312']
Exploring Operation: 312/6=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
43,
70,
18,
94
] | 37 | [
"43+70=113",
"94-18=76",
"113-76=37"
] | Current State: 37:[43, 70, 18, 94], Operations: []
Exploring Operation: 43+70=113, Resulting Numbers: [18, 94, 113]
Generated Node #2: [18, 94, 113] from Operation: 43+70=113
Current State: 37:[18, 94, 113], Operations: ['43+70=113']
Exploring Operation: 94-18=76, Resulting Numbers: [113, 76]
Generated Node #3: [113, 76] from Operation: 94-18=76
Current State: 37:[113, 76], Operations: ['43+70=113', '94-18=76']
Exploring Operation: 113-76=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
61,
50,
23,
10
] | 79 | [
"61+23=84",
"50/10=5",
"84-5=79"
] | Current State: 79:[61, 50, 23, 10], Operations: []
Exploring Operation: 61+23=84, Resulting Numbers: [50, 10, 84]
Generated Node #2: [50, 10, 84] from Operation: 61+23=84
Current State: 79:[50, 10, 84], Operations: ['61+23=84']
Exploring Operation: 50/10=5, Resulting Numbers: [84, 5]
Generated Node #3: [84, 5] from Operation: 50/10=5
Current State: 79:[84, 5], Operations: ['61+23=84', '50/10=5']
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
76,
49,
91,
14
] | 78 | [
"76-49=27",
"91+14=105",
"105-27=78"
] | Current State: 78:[76, 49, 91, 14], Operations: []
Exploring Operation: 76-49=27, Resulting Numbers: [91, 14, 27]
Generated Node #2: [91, 14, 27] from Operation: 76-49=27
Current State: 78:[91, 14, 27], Operations: ['76-49=27']
Exploring Operation: 91+14=105, Resulting Numbers: [27, 105]
Generated Node #3: [27, 105] from Operation: 91+14=105
Current State: 78:[27, 105], Operations: ['76-49=27', '91+14=105']
Exploring Operation: 105-27=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
18,
2,
40,
22
] | 24 | [
"18+2=20",
"40/20=2",
"22+2=24"
] | Current State: 24:[18, 2, 40, 22], Operations: []
Exploring Operation: 18+2=20, Resulting Numbers: [40, 22, 20]
Generated Node #2: [40, 22, 20] from Operation: 18+2=20
Current State: 24:[40, 22, 20], Operations: ['18+2=20']
Exploring Operation: 40/20=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 40/20=2
Current State: 24:[22, 2], Operations: ['18+2=20', '40/20=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
1,
26,
52,
40
] | 80 | [
"1*26=26",
"52*40=2080",
"2080/26=80"
] | Current State: 80:[1, 26, 52, 40], Operations: []
Exploring Operation: 1*26=26, Resulting Numbers: [52, 40, 26]
Generated Node #2: [52, 40, 26] from Operation: 1*26=26
Current State: 80:[52, 40, 26], Operations: ['1*26=26']
Exploring Operation: 52*40=2080, Resulting Numbers: [26, 2080]
Generated Node #3: [26, 2080] from Operation: 52*40=2080
Current State: 80:[26, 2080], Operations: ['1*26=26', '52*40=2080']
Exploring Operation: 2080/26=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
78,
78,
2,
4
] | 26 | [
"78+78=156",
"2+4=6",
"156/6=26"
] | Current State: 26:[78, 78, 2, 4], Operations: []
Exploring Operation: 78+78=156, Resulting Numbers: [2, 4, 156]
Generated Node #2: [2, 4, 156] from Operation: 78+78=156
Current State: 26:[2, 4, 156], Operations: ['78+78=156']
Exploring Operation: 2+4=6, Resulting Numbers: [156, 6]
Generated Node #3: [156, 6] from Operation: 2+4=6
Current State: 26:[156, 6], Operations: ['78+78=156', '2+4=6']
Exploring Operation: 156/6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
49,
80,
54,
58
] | 69 | [
"58-54=4",
"80/4=20",
"49+20=69"
] | Current State: 69:[49, 80, 54, 58], Operations: []
Exploring Operation: 58-54=4, Resulting Numbers: [49, 80, 4]
Generated Node #2: [49, 80, 4] from Operation: 58-54=4
Current State: 69:[49, 80, 4], Operations: ['58-54=4']
Exploring Operation: 80/4=20, Resulting Numbers: [49, 20]
Generated Node #3: [49, 20] from Operation: 80/4=20
Current State: 69:[49, 20], Operations: ['58-54=4', '80/4=20']
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
90,
77,
81,
4
] | 62 | [
"90+77=167",
"81+167=248",
"248/4=62"
] | Current State: 62:[90, 77, 81, 4], Operations: []
Exploring Operation: 90+77=167, Resulting Numbers: [81, 4, 167]
Generated Node #2: [81, 4, 167] from Operation: 90+77=167
Current State: 62:[81, 4, 167], Operations: ['90+77=167']
Exploring Operation: 81+167=248, Resulting Numbers: [4, 248]
Generated Node #3: [4, 248] from Operation: 81+167=248
Current State: 62:[4, 248], Operations: ['90+77=167', '81+167=248']
Exploring Operation: 248/4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
4,
95,
1,
90
] | 21 | [
"95-90=5",
"4*5=20",
"1+20=21"
] | Current State: 21:[4, 95, 1, 90], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [4, 1, 5]
Generated Node #2: [4, 1, 5] from Operation: 95-90=5
Current State: 21:[4, 1, 5], Operations: ['95-90=5']
Exploring Operation: 4*5=20, Resulting Numbers: [1, 20]
Generated Node #3: [1, 20] from Operation: 4*5=20
Current State: 21:[1, 20], Operations: ['95-90=5', '4*5=20']
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
66,
26,
63,
35
] | 59 | [
"35-26=9",
"63/9=7",
"66-7=59"
] | Current State: 59:[66, 26, 63, 35], Operations: []
Exploring Operation: 35-26=9, Resulting Numbers: [66, 63, 9]
Generated Node #2: [66, 63, 9] from Operation: 35-26=9
Current State: 59:[66, 63, 9], Operations: ['35-26=9']
Exploring Operation: 63/9=7, Resulting Numbers: [66, 7]
Generated Node #3: [66, 7] from Operation: 63/9=7
Current State: 59:[66, 7], Operations: ['35-26=9', '63/9=7']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
42,
33,
27,
12
] | 70 | [
"33+12=45",
"42*45=1890",
"1890/27=70"
] | Current State: 70:[42, 33, 27, 12], Operations: []
Exploring Operation: 33+12=45, Resulting Numbers: [42, 27, 45]
Generated Node #2: [42, 27, 45] from Operation: 33+12=45
Current State: 70:[42, 27, 45], Operations: ['33+12=45']
Exploring Operation: 42*45=1890, Resulting Numbers: [27, 1890]
Generated Node #3: [27, 1890] from Operation: 42*45=1890
Current State: 70:[27, 1890], Operations: ['33+12=45', '42*45=1890']
Exploring Operation: 1890/27=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
49,
5,
3,
56
] | 76 | [
"49-5=44",
"3*44=132",
"132-56=76"
] | Current State: 76:[49, 5, 3, 56], Operations: []
Exploring Operation: 49-5=44, Resulting Numbers: [3, 56, 44]
Generated Node #2: [3, 56, 44] from Operation: 49-5=44
Current State: 76:[3, 56, 44], Operations: ['49-5=44']
Exploring Operation: 3*44=132, Resulting Numbers: [56, 132]
Generated Node #3: [56, 132] from Operation: 3*44=132
Current State: 76:[56, 132], Operations: ['49-5=44', '3*44=132']
Exploring Operation: 132-56=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
42,
62,
52,
10
] | 42 | [
"42+62=104",
"52+10=62",
"104-62=42"
] | Current State: 42:[42, 62, 52, 10], Operations: []
Exploring Operation: 42+62=104, Resulting Numbers: [52, 10, 104]
Generated Node #2: [52, 10, 104] from Operation: 42+62=104
Current State: 42:[52, 10, 104], Operations: ['42+62=104']
Exploring Operation: 52+10=62, Resulting Numbers: [104, 62]
Generated Node #3: [104, 62] from Operation: 52+10=62
Current State: 42:[104, 62], Operations: ['42+62=104', '52+10=62']
Exploring Operation: 104-62=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
79,
42,
94,
38
] | 95 | [
"79-42=37",
"94+38=132",
"132-37=95"
] | Current State: 95:[79, 42, 94, 38], Operations: []
Exploring Operation: 79-42=37, Resulting Numbers: [94, 38, 37]
Generated Node #2: [94, 38, 37] from Operation: 79-42=37
Current State: 95:[94, 38, 37], Operations: ['79-42=37']
Exploring Operation: 94+38=132, Resulting Numbers: [37, 132]
Generated Node #3: [37, 132] from Operation: 94+38=132
Current State: 95:[37, 132], Operations: ['79-42=37', '94+38=132']
Exploring Operation: 132-37=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
11,
21,
8,
6
] | 20 | [
"21-11=10",
"8-6=2",
"10*2=20"
] | Current State: 20:[11, 21, 8, 6], Operations: []
Exploring Operation: 21-11=10, Resulting Numbers: [8, 6, 10]
Generated Node #2: [8, 6, 10] from Operation: 21-11=10
Current State: 20:[8, 6, 10], Operations: ['21-11=10']
Exploring Operation: 8-6=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 8-6=2
Current State: 20:[10, 2], Operations: ['21-11=10', '8-6=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
92,
6,
15,
1
] | 95 | [
"6-1=5",
"15/5=3",
"92+3=95"
] | Current State: 95:[92, 6, 15, 1], Operations: []
Exploring Operation: 6-1=5, Resulting Numbers: [92, 15, 5]
Generated Node #2: [92, 15, 5] from Operation: 6-1=5
Current State: 95:[92, 15, 5], Operations: ['6-1=5']
Exploring Operation: 15/5=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 15/5=3
Current State: 95:[92, 3], Operations: ['6-1=5', '15/5=3']
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
35,
62,
34,
22
] | 40 | [
"35-34=1",
"62-22=40",
"1*40=40"
] | Current State: 40:[35, 62, 34, 22], Operations: []
Exploring Operation: 35-34=1, Resulting Numbers: [62, 22, 1]
Generated Node #2: [62, 22, 1] from Operation: 35-34=1
Current State: 40:[62, 22, 1], Operations: ['35-34=1']
Exploring Operation: 62-22=40, Resulting Numbers: [1, 40]
Generated Node #3: [1, 40] from Operation: 62-22=40
Current State: 40:[1, 40], Operations: ['35-34=1', '62-22=40']
Exploring Operation: 1*40=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
2,
98,
88,
28
] | 33 | [
"98-88=10",
"10/2=5",
"28+5=33"
] | Current State: 33:[2, 98, 88, 28], Operations: []
Exploring Operation: 98-88=10, Resulting Numbers: [2, 28, 10]
Generated Node #2: [2, 28, 10] from Operation: 98-88=10
Current State: 33:[2, 28, 10], Operations: ['98-88=10']
Exploring Operation: 10/2=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 10/2=5
Current State: 33:[28, 5], Operations: ['98-88=10', '10/2=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
39,
71,
37,
23
] | 47 | [
"39-37=2",
"71+23=94",
"94/2=47"
] | Current State: 47:[39, 71, 37, 23], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [71, 23, 2]
Generated Node #2: [71, 23, 2] from Operation: 39-37=2
Current State: 47:[71, 23, 2], Operations: ['39-37=2']
Exploring Operation: 71+23=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 71+23=94
Current State: 47:[2, 94], Operations: ['39-37=2', '71+23=94']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
67,
90,
50,
35
] | 73 | [
"50-35=15",
"90/15=6",
"67+6=73"
] | Current State: 73:[67, 90, 50, 35], Operations: []
Exploring Operation: 50-35=15, Resulting Numbers: [67, 90, 15]
Generated Node #2: [67, 90, 15] from Operation: 50-35=15
Current State: 73:[67, 90, 15], Operations: ['50-35=15']
Exploring Operation: 90/15=6, Resulting Numbers: [67, 6]
Generated Node #3: [67, 6] from Operation: 90/15=6
Current State: 73:[67, 6], Operations: ['50-35=15', '90/15=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
43,
76,
25,
66
] | 38 | [
"43+25=68",
"68-66=2",
"76/2=38"
] | Current State: 38:[43, 76, 25, 66], Operations: []
Exploring Operation: 43+25=68, Resulting Numbers: [76, 66, 68]
Generated Node #2: [76, 66, 68] from Operation: 43+25=68
Current State: 38:[76, 66, 68], Operations: ['43+25=68']
Exploring Operation: 68-66=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 68-66=2
Current State: 38:[76, 2], Operations: ['43+25=68', '68-66=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
34,
19,
22,
18
] | 66 | [
"34-19=15",
"18-15=3",
"22*3=66"
] | Current State: 66:[34, 19, 22, 18], Operations: []
Exploring Operation: 34-19=15, Resulting Numbers: [22, 18, 15]
Generated Node #2: [22, 18, 15] from Operation: 34-19=15
Current State: 66:[22, 18, 15], Operations: ['34-19=15']
Exploring Operation: 18-15=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 18-15=3
Current State: 66:[22, 3], Operations: ['34-19=15', '18-15=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
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