nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
12,
8,
4,
92
] | 11 | [
"8-4=4",
"92/4=23",
"23-12=11"
] | Current State: 11:[12, 8, 4, 92], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [12, 92, 4]
Generated Node #2: [12, 92, 4] from Operation: 8-4=4
Current State: 11:[12, 92, 4], Operations: ['8-4=4']
Exploring Operation: 92/4=23, Resulting Numbers: [12, 23]
Generated Node #3: [12, 23] from Operation: 92/4=23
Current State: 11:[12, 23], Operations: ['8-4=4', '92/4=23']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
62,
21,
9,
1
] | 91 | [
"62+21=83",
"9-1=8",
"83+8=91"
] | Current State: 91:[62, 21, 9, 1], Operations: []
Exploring Operation: 62+21=83, Resulting Numbers: [9, 1, 83]
Generated Node #2: [9, 1, 83] from Operation: 62+21=83
Current State: 91:[9, 1, 83], Operations: ['62+21=83']
Exploring Operation: 9-1=8, Resulting Numbers: [83, 8]
Generated Node #3: [83, 8] from Operation: 9-1=8
Current State: 91:[83, 8], Operations: ['62+21=83', '9-1=8']
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
60,
2,
26,
85
] | 93 | [
"60+85=145",
"2*26=52",
"145-52=93"
] | Current State: 93:[60, 2, 26, 85], Operations: []
Exploring Operation: 60+85=145, Resulting Numbers: [2, 26, 145]
Generated Node #2: [2, 26, 145] from Operation: 60+85=145
Current State: 93:[2, 26, 145], Operations: ['60+85=145']
Exploring Operation: 2*26=52, Resulting Numbers: [145, 52]
Generated Node #3: [145, 52] from Operation: 2*26=52
Current State: 93:[145, 52], Operations: ['60+85=145', '2*26=52']
Exploring Operation: 145-52=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
1,
85,
6,
61
] | 78 | [
"6-1=5",
"85/5=17",
"61+17=78"
] | Current State: 78:[1, 85, 6, 61], Operations: []
Exploring Operation: 6-1=5, Resulting Numbers: [85, 61, 5]
Generated Node #2: [85, 61, 5] from Operation: 6-1=5
Current State: 78:[85, 61, 5], Operations: ['6-1=5']
Exploring Operation: 85/5=17, Resulting Numbers: [61, 17]
Generated Node #3: [61, 17] from Operation: 85/5=17
Current State: 78:[61, 17], Operations: ['6-1=5', '85/5=17']
Exploring Operation: 61+17=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
87,
63,
9,
66
] | 91 | [
"87*66=5742",
"5742-9=5733",
"5733/63=91"
] | Current State: 91:[87, 63, 9, 66], Operations: []
Exploring Operation: 87*66=5742, Resulting Numbers: [63, 9, 5742]
Generated Node #2: [63, 9, 5742] from Operation: 87*66=5742
Current State: 91:[63, 9, 5742], Operations: ['87*66=5742']
Exploring Operation: 5742-9=5733, Resulting Numbers: [63, 5733]
Generated Node #3: [63, 5733] from Operation: 5742-9=5733
Current State: 91:[63, 5733], Operations: ['87*66=5742', '5742-9=5733']
Exploring Operation: 5733/63=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
11,
39,
68,
13
] | 19 | [
"68-11=57",
"39/13=3",
"57/3=19"
] | Current State: 19:[11, 39, 68, 13], Operations: []
Exploring Operation: 68-11=57, Resulting Numbers: [39, 13, 57]
Generated Node #2: [39, 13, 57] from Operation: 68-11=57
Current State: 19:[39, 13, 57], Operations: ['68-11=57']
Exploring Operation: 39/13=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 39/13=3
Current State: 19:[57, 3], Operations: ['68-11=57', '39/13=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
18,
25,
1,
10
] | 70 | [
"25-18=7",
"1*10=10",
"7*10=70"
] | Current State: 70:[18, 25, 1, 10], Operations: []
Exploring Operation: 25-18=7, Resulting Numbers: [1, 10, 7]
Generated Node #2: [1, 10, 7] from Operation: 25-18=7
Current State: 70:[1, 10, 7], Operations: ['25-18=7']
Exploring Operation: 1*10=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 1*10=10
Current State: 70:[7, 10], Operations: ['25-18=7', '1*10=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
78,
17,
19,
14
] | 19 | [
"78+17=95",
"19-14=5",
"95/5=19"
] | Current State: 19:[78, 17, 19, 14], Operations: []
Exploring Operation: 78+17=95, Resulting Numbers: [19, 14, 95]
Generated Node #2: [19, 14, 95] from Operation: 78+17=95
Current State: 19:[19, 14, 95], Operations: ['78+17=95']
Exploring Operation: 19-14=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 19-14=5
Current State: 19:[95, 5], Operations: ['78+17=95', '19-14=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
18,
4,
15,
83
] | 20 | [
"18-15=3",
"83-3=80",
"80/4=20"
] | Current State: 20:[18, 4, 15, 83], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [4, 83, 3]
Generated Node #2: [4, 83, 3] from Operation: 18-15=3
Current State: 20:[4, 83, 3], Operations: ['18-15=3']
Exploring Operation: 83-3=80, Resulting Numbers: [4, 80]
Generated Node #3: [4, 80] from Operation: 83-3=80
Current State: 20:[4, 80], Operations: ['18-15=3', '83-3=80']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
13,
31,
60,
1
] | 17 | [
"13+31=44",
"60+1=61",
"61-44=17"
] | Current State: 17:[13, 31, 60, 1], Operations: []
Exploring Operation: 13+31=44, Resulting Numbers: [60, 1, 44]
Generated Node #2: [60, 1, 44] from Operation: 13+31=44
Current State: 17:[60, 1, 44], Operations: ['13+31=44']
Exploring Operation: 60+1=61, Resulting Numbers: [44, 61]
Generated Node #3: [44, 61] from Operation: 60+1=61
Current State: 17:[44, 61], Operations: ['13+31=44', '60+1=61']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
68,
16,
38,
30
] | 76 | [
"68+16=84",
"38-30=8",
"84-8=76"
] | Current State: 76:[68, 16, 38, 30], Operations: []
Exploring Operation: 68+16=84, Resulting Numbers: [38, 30, 84]
Generated Node #2: [38, 30, 84] from Operation: 68+16=84
Current State: 76:[38, 30, 84], Operations: ['68+16=84']
Exploring Operation: 38-30=8, Resulting Numbers: [84, 8]
Generated Node #3: [84, 8] from Operation: 38-30=8
Current State: 76:[84, 8], Operations: ['68+16=84', '38-30=8']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
68,
20,
56,
72
] | 84 | [
"68-20=48",
"56*72=4032",
"4032/48=84"
] | Current State: 84:[68, 20, 56, 72], Operations: []
Exploring Operation: 68-20=48, Resulting Numbers: [56, 72, 48]
Generated Node #2: [56, 72, 48] from Operation: 68-20=48
Current State: 84:[56, 72, 48], Operations: ['68-20=48']
Exploring Operation: 56*72=4032, Resulting Numbers: [48, 4032]
Generated Node #3: [48, 4032] from Operation: 56*72=4032
Current State: 84:[48, 4032], Operations: ['68-20=48', '56*72=4032']
Exploring Operation: 4032/48=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
91,
87,
7,
63
] | 66 | [
"91-87=4",
"7+63=70",
"70-4=66"
] | Current State: 66:[91, 87, 7, 63], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [7, 63, 4]
Generated Node #2: [7, 63, 4] from Operation: 91-87=4
Current State: 66:[7, 63, 4], Operations: ['91-87=4']
Exploring Operation: 7+63=70, Resulting Numbers: [4, 70]
Generated Node #3: [4, 70] from Operation: 7+63=70
Current State: 66:[4, 70], Operations: ['91-87=4', '7+63=70']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
42,
4,
6,
8
] | 32 | [
"42+4=46",
"6+8=14",
"46-14=32"
] | Current State: 32:[42, 4, 6, 8], Operations: []
Exploring Operation: 42+4=46, Resulting Numbers: [6, 8, 46]
Generated Node #2: [6, 8, 46] from Operation: 42+4=46
Current State: 32:[6, 8, 46], Operations: ['42+4=46']
Exploring Operation: 6+8=14, Resulting Numbers: [46, 14]
Generated Node #3: [46, 14] from Operation: 6+8=14
Current State: 32:[46, 14], Operations: ['42+4=46', '6+8=14']
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
66,
44,
12,
58
] | 77 | [
"58-44=14",
"66*14=924",
"924/12=77"
] | Current State: 77:[66, 44, 12, 58], Operations: []
Exploring Operation: 58-44=14, Resulting Numbers: [66, 12, 14]
Generated Node #2: [66, 12, 14] from Operation: 58-44=14
Current State: 77:[66, 12, 14], Operations: ['58-44=14']
Exploring Operation: 66*14=924, Resulting Numbers: [12, 924]
Generated Node #3: [12, 924] from Operation: 66*14=924
Current State: 77:[12, 924], Operations: ['58-44=14', '66*14=924']
Exploring Operation: 924/12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
39,
23,
41,
77
] | 69 | [
"39+41=80",
"80-77=3",
"23*3=69"
] | Current State: 69:[39, 23, 41, 77], Operations: []
Exploring Operation: 39+41=80, Resulting Numbers: [23, 77, 80]
Generated Node #2: [23, 77, 80] from Operation: 39+41=80
Current State: 69:[23, 77, 80], Operations: ['39+41=80']
Exploring Operation: 80-77=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 80-77=3
Current State: 69:[23, 3], Operations: ['39+41=80', '80-77=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
10,
18,
31,
73
] | 76 | [
"10+18=28",
"31+73=104",
"104-28=76"
] | Current State: 76:[10, 18, 31, 73], Operations: []
Exploring Operation: 10+18=28, Resulting Numbers: [31, 73, 28]
Generated Node #2: [31, 73, 28] from Operation: 10+18=28
Current State: 76:[31, 73, 28], Operations: ['10+18=28']
Exploring Operation: 31+73=104, Resulting Numbers: [28, 104]
Generated Node #3: [28, 104] from Operation: 31+73=104
Current State: 76:[28, 104], Operations: ['10+18=28', '31+73=104']
Exploring Operation: 104-28=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
35,
32,
40,
43
] | 71 | [
"35*32=1120",
"1120/40=28",
"43+28=71"
] | Current State: 71:[35, 32, 40, 43], Operations: []
Exploring Operation: 35*32=1120, Resulting Numbers: [40, 43, 1120]
Generated Node #2: [40, 43, 1120] from Operation: 35*32=1120
Current State: 71:[40, 43, 1120], Operations: ['35*32=1120']
Exploring Operation: 1120/40=28, Resulting Numbers: [43, 28]
Generated Node #3: [43, 28] from Operation: 1120/40=28
Current State: 71:[43, 28], Operations: ['35*32=1120', '1120/40=28']
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
32,
89,
80,
68
] | 81 | [
"80*68=5440",
"5440/32=170",
"170-89=81"
] | Current State: 81:[32, 89, 80, 68], Operations: []
Exploring Operation: 80*68=5440, Resulting Numbers: [32, 89, 5440]
Generated Node #2: [32, 89, 5440] from Operation: 80*68=5440
Current State: 81:[32, 89, 5440], Operations: ['80*68=5440']
Exploring Operation: 5440/32=170, Resulting Numbers: [89, 170]
Generated Node #3: [89, 170] from Operation: 5440/32=170
Current State: 81:[89, 170], Operations: ['80*68=5440', '5440/32=170']
Exploring Operation: 170-89=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
92,
5,
13,
22
] | 99 | [
"13+22=35",
"35/5=7",
"92+7=99"
] | Current State: 99:[92, 5, 13, 22], Operations: []
Exploring Operation: 13+22=35, Resulting Numbers: [92, 5, 35]
Generated Node #2: [92, 5, 35] from Operation: 13+22=35
Current State: 99:[92, 5, 35], Operations: ['13+22=35']
Exploring Operation: 35/5=7, Resulting Numbers: [92, 7]
Generated Node #3: [92, 7] from Operation: 35/5=7
Current State: 99:[92, 7], Operations: ['13+22=35', '35/5=7']
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
2,
4,
37,
40
] | 57 | [
"4-2=2",
"40/2=20",
"37+20=57"
] | Current State: 57:[2, 4, 37, 40], Operations: []
Exploring Operation: 4-2=2, Resulting Numbers: [37, 40, 2]
Generated Node #2: [37, 40, 2] from Operation: 4-2=2
Current State: 57:[37, 40, 2], Operations: ['4-2=2']
Exploring Operation: 40/2=20, Resulting Numbers: [37, 20]
Generated Node #3: [37, 20] from Operation: 40/2=20
Current State: 57:[37, 20], Operations: ['4-2=2', '40/2=20']
Exploring Operation: 37+20=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
6,
10,
84,
92
] | 11 | [
"6+10=16",
"84+92=176",
"176/16=11"
] | Current State: 11:[6, 10, 84, 92], Operations: []
Exploring Operation: 6+10=16, Resulting Numbers: [84, 92, 16]
Generated Node #2: [84, 92, 16] from Operation: 6+10=16
Current State: 11:[84, 92, 16], Operations: ['6+10=16']
Exploring Operation: 84+92=176, Resulting Numbers: [16, 176]
Generated Node #3: [16, 176] from Operation: 84+92=176
Current State: 11:[16, 176], Operations: ['6+10=16', '84+92=176']
Exploring Operation: 176/16=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
13,
45,
12,
9
] | 48 | [
"13*45=585",
"585-9=576",
"576/12=48"
] | Current State: 48:[13, 45, 12, 9], Operations: []
Exploring Operation: 13*45=585, Resulting Numbers: [12, 9, 585]
Generated Node #2: [12, 9, 585] from Operation: 13*45=585
Current State: 48:[12, 9, 585], Operations: ['13*45=585']
Exploring Operation: 585-9=576, Resulting Numbers: [12, 576]
Generated Node #3: [12, 576] from Operation: 585-9=576
Current State: 48:[12, 576], Operations: ['13*45=585', '585-9=576']
Exploring Operation: 576/12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
91,
2,
94,
57
] | 64 | [
"91+94=185",
"185-57=128",
"128/2=64"
] | Current State: 64:[91, 2, 94, 57], Operations: []
Exploring Operation: 91+94=185, Resulting Numbers: [2, 57, 185]
Generated Node #2: [2, 57, 185] from Operation: 91+94=185
Current State: 64:[2, 57, 185], Operations: ['91+94=185']
Exploring Operation: 185-57=128, Resulting Numbers: [2, 128]
Generated Node #3: [2, 128] from Operation: 185-57=128
Current State: 64:[2, 128], Operations: ['91+94=185', '185-57=128']
Exploring Operation: 128/2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
92,
79,
2,
38
] | 71 | [
"92/2=46",
"79+38=117",
"117-46=71"
] | Current State: 71:[92, 79, 2, 38], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [79, 38, 46]
Generated Node #2: [79, 38, 46] from Operation: 92/2=46
Current State: 71:[79, 38, 46], Operations: ['92/2=46']
Exploring Operation: 79+38=117, Resulting Numbers: [46, 117]
Generated Node #3: [46, 117] from Operation: 79+38=117
Current State: 71:[46, 117], Operations: ['92/2=46', '79+38=117']
Exploring Operation: 117-46=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
30,
26,
82,
96
] | 58 | [
"30-26=4",
"96/4=24",
"82-24=58"
] | Current State: 58:[30, 26, 82, 96], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [82, 96, 4]
Generated Node #2: [82, 96, 4] from Operation: 30-26=4
Current State: 58:[82, 96, 4], Operations: ['30-26=4']
Exploring Operation: 96/4=24, Resulting Numbers: [82, 24]
Generated Node #3: [82, 24] from Operation: 96/4=24
Current State: 58:[82, 24], Operations: ['30-26=4', '96/4=24']
Exploring Operation: 82-24=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
20,
26,
28,
28
] | 35 | [
"26*28=728",
"728-28=700",
"700/20=35"
] | Current State: 35:[20, 26, 28, 28], Operations: []
Exploring Operation: 26*28=728, Resulting Numbers: [20, 728]
Generated Node #2: [20, 728] from Operation: 26*28=728
Current State: 35:[20, 728], Operations: ['26*28=728']
Exploring Operation: 728-28=700, Resulting Numbers: [20, 700]
Generated Node #3: [20, 700] from Operation: 728-28=700
Current State: 35:[20, 700], Operations: ['26*28=728', '728-28=700']
Exploring Operation: 700/20=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
87,
32,
55,
92
] | 28 | [
"87+32=119",
"55+92=147",
"147-119=28"
] | Current State: 28:[87, 32, 55, 92], Operations: []
Exploring Operation: 87+32=119, Resulting Numbers: [55, 92, 119]
Generated Node #2: [55, 92, 119] from Operation: 87+32=119
Current State: 28:[55, 92, 119], Operations: ['87+32=119']
Exploring Operation: 55+92=147, Resulting Numbers: [119, 147]
Generated Node #3: [119, 147] from Operation: 55+92=147
Current State: 28:[119, 147], Operations: ['87+32=119', '55+92=147']
Exploring Operation: 147-119=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
96,
48,
78,
40
] | 40 | [
"96/48=2",
"78-40=38",
"2+38=40"
] | Current State: 40:[96, 48, 78, 40], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [78, 40, 2]
Generated Node #2: [78, 40, 2] from Operation: 96/48=2
Current State: 40:[78, 40, 2], Operations: ['96/48=2']
Exploring Operation: 78-40=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 78-40=38
Current State: 40:[2, 38], Operations: ['96/48=2', '78-40=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
33,
52,
49,
7
] | 29 | [
"33+52=85",
"49+7=56",
"85-56=29"
] | Current State: 29:[33, 52, 49, 7], Operations: []
Exploring Operation: 33+52=85, Resulting Numbers: [49, 7, 85]
Generated Node #2: [49, 7, 85] from Operation: 33+52=85
Current State: 29:[49, 7, 85], Operations: ['33+52=85']
Exploring Operation: 49+7=56, Resulting Numbers: [85, 56]
Generated Node #3: [85, 56] from Operation: 49+7=56
Current State: 29:[85, 56], Operations: ['33+52=85', '49+7=56']
Exploring Operation: 85-56=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
18,
2,
30,
3
] | 84 | [
"30+3=33",
"2*33=66",
"18+66=84"
] | Current State: 84:[18, 2, 30, 3], Operations: []
Exploring Operation: 30+3=33, Resulting Numbers: [18, 2, 33]
Generated Node #2: [18, 2, 33] from Operation: 30+3=33
Current State: 84:[18, 2, 33], Operations: ['30+3=33']
Exploring Operation: 2*33=66, Resulting Numbers: [18, 66]
Generated Node #3: [18, 66] from Operation: 2*33=66
Current State: 84:[18, 66], Operations: ['30+3=33', '2*33=66']
Exploring Operation: 18+66=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
32,
52,
30,
4
] | 46 | [
"52-32=20",
"30-4=26",
"20+26=46"
] | Current State: 46:[32, 52, 30, 4], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [30, 4, 20]
Generated Node #2: [30, 4, 20] from Operation: 52-32=20
Current State: 46:[30, 4, 20], Operations: ['52-32=20']
Exploring Operation: 30-4=26, Resulting Numbers: [20, 26]
Generated Node #3: [20, 26] from Operation: 30-4=26
Current State: 46:[20, 26], Operations: ['52-32=20', '30-4=26']
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
15,
73,
28,
28
] | 59 | [
"73-15=58",
"28/28=1",
"58+1=59"
] | Current State: 59:[15, 73, 28, 28], Operations: []
Exploring Operation: 73-15=58, Resulting Numbers: [28, 28, 58]
Generated Node #2: [28, 28, 58] from Operation: 73-15=58
Current State: 59:[28, 28, 58], Operations: ['73-15=58']
Exploring Operation: 28/28=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 28/28=1
Current State: 59:[58, 1], Operations: ['73-15=58', '28/28=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
4,
62,
54,
59
] | 62 | [
"4+54=58",
"59-58=1",
"62*1=62"
] | Current State: 62:[4, 62, 54, 59], Operations: []
Exploring Operation: 4+54=58, Resulting Numbers: [62, 59, 58]
Generated Node #2: [62, 59, 58] from Operation: 4+54=58
Current State: 62:[62, 59, 58], Operations: ['4+54=58']
Exploring Operation: 59-58=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 59-58=1
Current State: 62:[62, 1], Operations: ['4+54=58', '59-58=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
8,
81,
64,
53
] | 44 | [
"81-8=73",
"64+53=117",
"117-73=44"
] | Current State: 44:[8, 81, 64, 53], Operations: []
Exploring Operation: 81-8=73, Resulting Numbers: [64, 53, 73]
Generated Node #2: [64, 53, 73] from Operation: 81-8=73
Current State: 44:[64, 53, 73], Operations: ['81-8=73']
Exploring Operation: 64+53=117, Resulting Numbers: [73, 117]
Generated Node #3: [73, 117] from Operation: 64+53=117
Current State: 44:[73, 117], Operations: ['81-8=73', '64+53=117']
Exploring Operation: 117-73=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
7,
82,
73,
9
] | 54 | [
"7*9=63",
"82-73=9",
"63-9=54"
] | Current State: 54:[7, 82, 73, 9], Operations: []
Exploring Operation: 7*9=63, Resulting Numbers: [82, 73, 63]
Generated Node #2: [82, 73, 63] from Operation: 7*9=63
Current State: 54:[82, 73, 63], Operations: ['7*9=63']
Exploring Operation: 82-73=9, Resulting Numbers: [63, 9]
Generated Node #3: [63, 9] from Operation: 82-73=9
Current State: 54:[63, 9], Operations: ['7*9=63', '82-73=9']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
49,
20,
61,
11
] | 88 | [
"49+20=69",
"69-61=8",
"11*8=88"
] | Current State: 88:[49, 20, 61, 11], Operations: []
Exploring Operation: 49+20=69, Resulting Numbers: [61, 11, 69]
Generated Node #2: [61, 11, 69] from Operation: 49+20=69
Current State: 88:[61, 11, 69], Operations: ['49+20=69']
Exploring Operation: 69-61=8, Resulting Numbers: [11, 8]
Generated Node #3: [11, 8] from Operation: 69-61=8
Current State: 88:[11, 8], Operations: ['49+20=69', '69-61=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
10,
42,
11,
93
] | 13 | [
"42-11=31",
"93/31=3",
"10+3=13"
] | Current State: 13:[10, 42, 11, 93], Operations: []
Exploring Operation: 42-11=31, Resulting Numbers: [10, 93, 31]
Generated Node #2: [10, 93, 31] from Operation: 42-11=31
Current State: 13:[10, 93, 31], Operations: ['42-11=31']
Exploring Operation: 93/31=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 93/31=3
Current State: 13:[10, 3], Operations: ['42-11=31', '93/31=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
57,
41,
95,
35
] | 44 | [
"57-41=16",
"95-35=60",
"60-16=44"
] | Current State: 44:[57, 41, 95, 35], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [95, 35, 16]
Generated Node #2: [95, 35, 16] from Operation: 57-41=16
Current State: 44:[95, 35, 16], Operations: ['57-41=16']
Exploring Operation: 95-35=60, Resulting Numbers: [16, 60]
Generated Node #3: [16, 60] from Operation: 95-35=60
Current State: 44:[16, 60], Operations: ['57-41=16', '95-35=60']
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
92,
28,
13,
60
] | 47 | [
"92+28=120",
"13+60=73",
"120-73=47"
] | Current State: 47:[92, 28, 13, 60], Operations: []
Exploring Operation: 92+28=120, Resulting Numbers: [13, 60, 120]
Generated Node #2: [13, 60, 120] from Operation: 92+28=120
Current State: 47:[13, 60, 120], Operations: ['92+28=120']
Exploring Operation: 13+60=73, Resulting Numbers: [120, 73]
Generated Node #3: [120, 73] from Operation: 13+60=73
Current State: 47:[120, 73], Operations: ['92+28=120', '13+60=73']
Exploring Operation: 120-73=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
73,
83,
73,
38
] | 83 | [
"73-73=0",
"38*0=0",
"83+0=83"
] | Current State: 83:[73, 83, 73, 38], Operations: []
Exploring Operation: 73-73=0, Resulting Numbers: [83, 38, 0]
Generated Node #2: [83, 38, 0] from Operation: 73-73=0
Current State: 83:[83, 38, 0], Operations: ['73-73=0']
Exploring Operation: 38*0=0, Resulting Numbers: [83, 0]
Generated Node #3: [83, 0] from Operation: 38*0=0
Current State: 83:[83, 0], Operations: ['73-73=0', '38*0=0']
Exploring Operation: 83+0=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
91,
18,
68,
47
] | 94 | [
"91-18=73",
"68-47=21",
"73+21=94"
] | Current State: 94:[91, 18, 68, 47], Operations: []
Exploring Operation: 91-18=73, Resulting Numbers: [68, 47, 73]
Generated Node #2: [68, 47, 73] from Operation: 91-18=73
Current State: 94:[68, 47, 73], Operations: ['91-18=73']
Exploring Operation: 68-47=21, Resulting Numbers: [73, 21]
Generated Node #3: [73, 21] from Operation: 68-47=21
Current State: 94:[73, 21], Operations: ['91-18=73', '68-47=21']
Exploring Operation: 73+21=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
93,
88,
78,
49
] | 54 | [
"93+88=181",
"78+49=127",
"181-127=54"
] | Current State: 54:[93, 88, 78, 49], Operations: []
Exploring Operation: 93+88=181, Resulting Numbers: [78, 49, 181]
Generated Node #2: [78, 49, 181] from Operation: 93+88=181
Current State: 54:[78, 49, 181], Operations: ['93+88=181']
Exploring Operation: 78+49=127, Resulting Numbers: [181, 127]
Generated Node #3: [181, 127] from Operation: 78+49=127
Current State: 54:[181, 127], Operations: ['93+88=181', '78+49=127']
Exploring Operation: 181-127=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
4,
57,
14,
76
] | 42 | [
"4*57=228",
"14*228=3192",
"3192/76=42"
] | Current State: 42:[4, 57, 14, 76], Operations: []
Exploring Operation: 4*57=228, Resulting Numbers: [14, 76, 228]
Generated Node #2: [14, 76, 228] from Operation: 4*57=228
Current State: 42:[14, 76, 228], Operations: ['4*57=228']
Exploring Operation: 14*228=3192, Resulting Numbers: [76, 3192]
Generated Node #3: [76, 3192] from Operation: 14*228=3192
Current State: 42:[76, 3192], Operations: ['4*57=228', '14*228=3192']
Exploring Operation: 3192/76=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
6,
3,
17,
73
] | 80 | [
"6+3=9",
"17*9=153",
"153-73=80"
] | Current State: 80:[6, 3, 17, 73], Operations: []
Exploring Operation: 6+3=9, Resulting Numbers: [17, 73, 9]
Generated Node #2: [17, 73, 9] from Operation: 6+3=9
Current State: 80:[17, 73, 9], Operations: ['6+3=9']
Exploring Operation: 17*9=153, Resulting Numbers: [73, 153]
Generated Node #3: [73, 153] from Operation: 17*9=153
Current State: 80:[73, 153], Operations: ['6+3=9', '17*9=153']
Exploring Operation: 153-73=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
11,
40,
8,
30
] | 22 | [
"40-8=32",
"32-30=2",
"11*2=22"
] | Current State: 22:[11, 40, 8, 30], Operations: []
Exploring Operation: 40-8=32, Resulting Numbers: [11, 30, 32]
Generated Node #2: [11, 30, 32] from Operation: 40-8=32
Current State: 22:[11, 30, 32], Operations: ['40-8=32']
Exploring Operation: 32-30=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 32-30=2
Current State: 22:[11, 2], Operations: ['40-8=32', '32-30=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
78,
88,
31,
5
] | 26 | [
"88-78=10",
"31+5=36",
"36-10=26"
] | Current State: 26:[78, 88, 31, 5], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [31, 5, 10]
Generated Node #2: [31, 5, 10] from Operation: 88-78=10
Current State: 26:[31, 5, 10], Operations: ['88-78=10']
Exploring Operation: 31+5=36, Resulting Numbers: [10, 36]
Generated Node #3: [10, 36] from Operation: 31+5=36
Current State: 26:[10, 36], Operations: ['88-78=10', '31+5=36']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
31,
50,
51,
98
] | 34 | [
"31+50=81",
"98-51=47",
"81-47=34"
] | Current State: 34:[31, 50, 51, 98], Operations: []
Exploring Operation: 31+50=81, Resulting Numbers: [51, 98, 81]
Generated Node #2: [51, 98, 81] from Operation: 31+50=81
Current State: 34:[51, 98, 81], Operations: ['31+50=81']
Exploring Operation: 98-51=47, Resulting Numbers: [81, 47]
Generated Node #3: [81, 47] from Operation: 98-51=47
Current State: 34:[81, 47], Operations: ['31+50=81', '98-51=47']
Exploring Operation: 81-47=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
77,
53,
19,
99
] | 94 | [
"77-53=24",
"19+99=118",
"118-24=94"
] | Current State: 94:[77, 53, 19, 99], Operations: []
Exploring Operation: 77-53=24, Resulting Numbers: [19, 99, 24]
Generated Node #2: [19, 99, 24] from Operation: 77-53=24
Current State: 94:[19, 99, 24], Operations: ['77-53=24']
Exploring Operation: 19+99=118, Resulting Numbers: [24, 118]
Generated Node #3: [24, 118] from Operation: 19+99=118
Current State: 94:[24, 118], Operations: ['77-53=24', '19+99=118']
Exploring Operation: 118-24=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
48,
21,
2,
22
] | 19 | [
"48/2=24",
"21+22=43",
"43-24=19"
] | Current State: 19:[48, 21, 2, 22], Operations: []
Exploring Operation: 48/2=24, Resulting Numbers: [21, 22, 24]
Generated Node #2: [21, 22, 24] from Operation: 48/2=24
Current State: 19:[21, 22, 24], Operations: ['48/2=24']
Exploring Operation: 21+22=43, Resulting Numbers: [24, 43]
Generated Node #3: [24, 43] from Operation: 21+22=43
Current State: 19:[24, 43], Operations: ['48/2=24', '21+22=43']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
14,
37,
2,
56
] | 74 | [
"14*2=28",
"37*56=2072",
"2072/28=74"
] | Current State: 74:[14, 37, 2, 56], Operations: []
Exploring Operation: 14*2=28, Resulting Numbers: [37, 56, 28]
Generated Node #2: [37, 56, 28] from Operation: 14*2=28
Current State: 74:[37, 56, 28], Operations: ['14*2=28']
Exploring Operation: 37*56=2072, Resulting Numbers: [28, 2072]
Generated Node #3: [28, 2072] from Operation: 37*56=2072
Current State: 74:[28, 2072], Operations: ['14*2=28', '37*56=2072']
Exploring Operation: 2072/28=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
32,
67,
31,
47
] | 83 | [
"32+67=99",
"47-31=16",
"99-16=83"
] | Current State: 83:[32, 67, 31, 47], Operations: []
Exploring Operation: 32+67=99, Resulting Numbers: [31, 47, 99]
Generated Node #2: [31, 47, 99] from Operation: 32+67=99
Current State: 83:[31, 47, 99], Operations: ['32+67=99']
Exploring Operation: 47-31=16, Resulting Numbers: [99, 16]
Generated Node #3: [99, 16] from Operation: 47-31=16
Current State: 83:[99, 16], Operations: ['32+67=99', '47-31=16']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
8,
96,
6,
35
] | 43 | [
"35-8=27",
"96/6=16",
"27+16=43"
] | Current State: 43:[8, 96, 6, 35], Operations: []
Exploring Operation: 35-8=27, Resulting Numbers: [96, 6, 27]
Generated Node #2: [96, 6, 27] from Operation: 35-8=27
Current State: 43:[96, 6, 27], Operations: ['35-8=27']
Exploring Operation: 96/6=16, Resulting Numbers: [27, 16]
Generated Node #3: [27, 16] from Operation: 96/6=16
Current State: 43:[27, 16], Operations: ['35-8=27', '96/6=16']
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
28,
34,
76,
85
] | 99 | [
"28+34=62",
"76+85=161",
"161-62=99"
] | Current State: 99:[28, 34, 76, 85], Operations: []
Exploring Operation: 28+34=62, Resulting Numbers: [76, 85, 62]
Generated Node #2: [76, 85, 62] from Operation: 28+34=62
Current State: 99:[76, 85, 62], Operations: ['28+34=62']
Exploring Operation: 76+85=161, Resulting Numbers: [62, 161]
Generated Node #3: [62, 161] from Operation: 76+85=161
Current State: 99:[62, 161], Operations: ['28+34=62', '76+85=161']
Exploring Operation: 161-62=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
75,
15,
70,
18
] | 95 | [
"18-15=3",
"75/3=25",
"70+25=95"
] | Current State: 95:[75, 15, 70, 18], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [75, 70, 3]
Generated Node #2: [75, 70, 3] from Operation: 18-15=3
Current State: 95:[75, 70, 3], Operations: ['18-15=3']
Exploring Operation: 75/3=25, Resulting Numbers: [70, 25]
Generated Node #3: [70, 25] from Operation: 75/3=25
Current State: 95:[70, 25], Operations: ['18-15=3', '75/3=25']
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
42,
27,
86,
25
] | 88 | [
"86-42=44",
"27-25=2",
"44*2=88"
] | Current State: 88:[42, 27, 86, 25], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [27, 25, 44]
Generated Node #2: [27, 25, 44] from Operation: 86-42=44
Current State: 88:[27, 25, 44], Operations: ['86-42=44']
Exploring Operation: 27-25=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 27-25=2
Current State: 88:[44, 2], Operations: ['86-42=44', '27-25=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
77,
7,
14,
10
] | 74 | [
"77-7=70",
"14-10=4",
"70+4=74"
] | Current State: 74:[77, 7, 14, 10], Operations: []
Exploring Operation: 77-7=70, Resulting Numbers: [14, 10, 70]
Generated Node #2: [14, 10, 70] from Operation: 77-7=70
Current State: 74:[14, 10, 70], Operations: ['77-7=70']
Exploring Operation: 14-10=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 14-10=4
Current State: 74:[70, 4], Operations: ['77-7=70', '14-10=4']
Exploring Operation: 70+4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
64,
73,
9,
73
] | 64 | [
"73-73=0",
"9*0=0",
"64+0=64"
] | Current State: 64:[64, 73, 9, 73], Operations: []
Exploring Operation: 73-73=0, Resulting Numbers: [64, 9, 0]
Generated Node #2: [64, 9, 0] from Operation: 73-73=0
Current State: 64:[64, 9, 0], Operations: ['73-73=0']
Exploring Operation: 9*0=0, Resulting Numbers: [64, 0]
Generated Node #3: [64, 0] from Operation: 9*0=0
Current State: 64:[64, 0], Operations: ['73-73=0', '9*0=0']
Exploring Operation: 64+0=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
19,
95,
4,
30
] | 36 | [
"19+95=114",
"30+114=144",
"144/4=36"
] | Current State: 36:[19, 95, 4, 30], Operations: []
Exploring Operation: 19+95=114, Resulting Numbers: [4, 30, 114]
Generated Node #2: [4, 30, 114] from Operation: 19+95=114
Current State: 36:[4, 30, 114], Operations: ['19+95=114']
Exploring Operation: 30+114=144, Resulting Numbers: [4, 144]
Generated Node #3: [4, 144] from Operation: 30+114=144
Current State: 36:[4, 144], Operations: ['19+95=114', '30+114=144']
Exploring Operation: 144/4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
27,
27,
33,
87
] | 19 | [
"33-27=6",
"27+87=114",
"114/6=19"
] | Current State: 19:[27, 27, 33, 87], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [87, 6]
Generated Node #2: [87, 6] from Operation: 33-27=6
Current State: 19:[87, 6], Operations: ['33-27=6']
Exploring Operation: 27+87=114, Resulting Numbers: [6, 114]
Generated Node #3: [6, 114] from Operation: 27+87=114
Current State: 19:[6, 114], Operations: ['33-27=6', '27+87=114']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
16,
29,
86,
55
] | 32 | [
"86-29=57",
"57-55=2",
"16*2=32"
] | Current State: 32:[16, 29, 86, 55], Operations: []
Exploring Operation: 86-29=57, Resulting Numbers: [16, 55, 57]
Generated Node #2: [16, 55, 57] from Operation: 86-29=57
Current State: 32:[16, 55, 57], Operations: ['86-29=57']
Exploring Operation: 57-55=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 57-55=2
Current State: 32:[16, 2], Operations: ['86-29=57', '57-55=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
26,
12,
91,
32
] | 97 | [
"26+12=38",
"91-32=59",
"38+59=97"
] | Current State: 97:[26, 12, 91, 32], Operations: []
Exploring Operation: 26+12=38, Resulting Numbers: [91, 32, 38]
Generated Node #2: [91, 32, 38] from Operation: 26+12=38
Current State: 97:[91, 32, 38], Operations: ['26+12=38']
Exploring Operation: 91-32=59, Resulting Numbers: [38, 59]
Generated Node #3: [38, 59] from Operation: 91-32=59
Current State: 97:[38, 59], Operations: ['26+12=38', '91-32=59']
Exploring Operation: 38+59=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
84,
28,
56,
93
] | 87 | [
"84/28=3",
"93/3=31",
"56+31=87"
] | Current State: 87:[84, 28, 56, 93], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [56, 93, 3]
Generated Node #2: [56, 93, 3] from Operation: 84/28=3
Current State: 87:[56, 93, 3], Operations: ['84/28=3']
Exploring Operation: 93/3=31, Resulting Numbers: [56, 31]
Generated Node #3: [56, 31] from Operation: 93/3=31
Current State: 87:[56, 31], Operations: ['84/28=3', '93/3=31']
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
70,
39,
75,
30
] | 74 | [
"70-39=31",
"75+30=105",
"105-31=74"
] | Current State: 74:[70, 39, 75, 30], Operations: []
Exploring Operation: 70-39=31, Resulting Numbers: [75, 30, 31]
Generated Node #2: [75, 30, 31] from Operation: 70-39=31
Current State: 74:[75, 30, 31], Operations: ['70-39=31']
Exploring Operation: 75+30=105, Resulting Numbers: [31, 105]
Generated Node #3: [31, 105] from Operation: 75+30=105
Current State: 74:[31, 105], Operations: ['70-39=31', '75+30=105']
Exploring Operation: 105-31=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
16,
67,
46,
3
] | 29 | [
"67-16=51",
"51/3=17",
"46-17=29"
] | Current State: 29:[16, 67, 46, 3], Operations: []
Exploring Operation: 67-16=51, Resulting Numbers: [46, 3, 51]
Generated Node #2: [46, 3, 51] from Operation: 67-16=51
Current State: 29:[46, 3, 51], Operations: ['67-16=51']
Exploring Operation: 51/3=17, Resulting Numbers: [46, 17]
Generated Node #3: [46, 17] from Operation: 51/3=17
Current State: 29:[46, 17], Operations: ['67-16=51', '51/3=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
65,
31,
88,
67
] | 55 | [
"65-31=34",
"88-67=21",
"34+21=55"
] | Current State: 55:[65, 31, 88, 67], Operations: []
Exploring Operation: 65-31=34, Resulting Numbers: [88, 67, 34]
Generated Node #2: [88, 67, 34] from Operation: 65-31=34
Current State: 55:[88, 67, 34], Operations: ['65-31=34']
Exploring Operation: 88-67=21, Resulting Numbers: [34, 21]
Generated Node #3: [34, 21] from Operation: 88-67=21
Current State: 55:[34, 21], Operations: ['65-31=34', '88-67=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
11,
5,
38,
69
] | 72 | [
"38-5=33",
"33/11=3",
"69+3=72"
] | Current State: 72:[11, 5, 38, 69], Operations: []
Exploring Operation: 38-5=33, Resulting Numbers: [11, 69, 33]
Generated Node #2: [11, 69, 33] from Operation: 38-5=33
Current State: 72:[11, 69, 33], Operations: ['38-5=33']
Exploring Operation: 33/11=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 33/11=3
Current State: 72:[69, 3], Operations: ['38-5=33', '33/11=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
53,
64,
79,
19
] | 49 | [
"64-53=11",
"79-19=60",
"60-11=49"
] | Current State: 49:[53, 64, 79, 19], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [79, 19, 11]
Generated Node #2: [79, 19, 11] from Operation: 64-53=11
Current State: 49:[79, 19, 11], Operations: ['64-53=11']
Exploring Operation: 79-19=60, Resulting Numbers: [11, 60]
Generated Node #3: [11, 60] from Operation: 79-19=60
Current State: 49:[11, 60], Operations: ['64-53=11', '79-19=60']
Exploring Operation: 60-11=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
10,
48,
44,
97
] | 50 | [
"48+44=92",
"97-92=5",
"10*5=50"
] | Current State: 50:[10, 48, 44, 97], Operations: []
Exploring Operation: 48+44=92, Resulting Numbers: [10, 97, 92]
Generated Node #2: [10, 97, 92] from Operation: 48+44=92
Current State: 50:[10, 97, 92], Operations: ['48+44=92']
Exploring Operation: 97-92=5, Resulting Numbers: [10, 5]
Generated Node #3: [10, 5] from Operation: 97-92=5
Current State: 50:[10, 5], Operations: ['48+44=92', '97-92=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
32,
34,
37,
54
] | 41 | [
"34*37=1258",
"54+1258=1312",
"1312/32=41"
] | Current State: 41:[32, 34, 37, 54], Operations: []
Exploring Operation: 34*37=1258, Resulting Numbers: [32, 54, 1258]
Generated Node #2: [32, 54, 1258] from Operation: 34*37=1258
Current State: 41:[32, 54, 1258], Operations: ['34*37=1258']
Exploring Operation: 54+1258=1312, Resulting Numbers: [32, 1312]
Generated Node #3: [32, 1312] from Operation: 54+1258=1312
Current State: 41:[32, 1312], Operations: ['34*37=1258', '54+1258=1312']
Exploring Operation: 1312/32=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
39,
37,
88,
48
] | 13 | [
"88-37=51",
"51-48=3",
"39/3=13"
] | Current State: 13:[39, 37, 88, 48], Operations: []
Exploring Operation: 88-37=51, Resulting Numbers: [39, 48, 51]
Generated Node #2: [39, 48, 51] from Operation: 88-37=51
Current State: 13:[39, 48, 51], Operations: ['88-37=51']
Exploring Operation: 51-48=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 51-48=3
Current State: 13:[39, 3], Operations: ['88-37=51', '51-48=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
48,
2,
22,
55
] | 90 | [
"48+22=70",
"70/2=35",
"55+35=90"
] | Current State: 90:[48, 2, 22, 55], Operations: []
Exploring Operation: 48+22=70, Resulting Numbers: [2, 55, 70]
Generated Node #2: [2, 55, 70] from Operation: 48+22=70
Current State: 90:[2, 55, 70], Operations: ['48+22=70']
Exploring Operation: 70/2=35, Resulting Numbers: [55, 35]
Generated Node #3: [55, 35] from Operation: 70/2=35
Current State: 90:[55, 35], Operations: ['48+22=70', '70/2=35']
Exploring Operation: 55+35=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
99,
26,
44,
84
] | 55 | [
"99-26=73",
"44+84=128",
"128-73=55"
] | Current State: 55:[99, 26, 44, 84], Operations: []
Exploring Operation: 99-26=73, Resulting Numbers: [44, 84, 73]
Generated Node #2: [44, 84, 73] from Operation: 99-26=73
Current State: 55:[44, 84, 73], Operations: ['99-26=73']
Exploring Operation: 44+84=128, Resulting Numbers: [73, 128]
Generated Node #3: [73, 128] from Operation: 44+84=128
Current State: 55:[73, 128], Operations: ['99-26=73', '44+84=128']
Exploring Operation: 128-73=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
54,
40,
12,
8
] | 21 | [
"54-40=14",
"12*14=168",
"168/8=21"
] | Current State: 21:[54, 40, 12, 8], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [12, 8, 14]
Generated Node #2: [12, 8, 14] from Operation: 54-40=14
Current State: 21:[12, 8, 14], Operations: ['54-40=14']
Exploring Operation: 12*14=168, Resulting Numbers: [8, 168]
Generated Node #3: [8, 168] from Operation: 12*14=168
Current State: 21:[8, 168], Operations: ['54-40=14', '12*14=168']
Exploring Operation: 168/8=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
45,
44,
75,
48
] | 26 | [
"45-44=1",
"75-48=27",
"27-1=26"
] | Current State: 26:[45, 44, 75, 48], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [75, 48, 1]
Generated Node #2: [75, 48, 1] from Operation: 45-44=1
Current State: 26:[75, 48, 1], Operations: ['45-44=1']
Exploring Operation: 75-48=27, Resulting Numbers: [1, 27]
Generated Node #3: [1, 27] from Operation: 75-48=27
Current State: 26:[1, 27], Operations: ['45-44=1', '75-48=27']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
72,
44,
92,
10
] | 88 | [
"92-72=20",
"44*20=880",
"880/10=88"
] | Current State: 88:[72, 44, 92, 10], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [44, 10, 20]
Generated Node #2: [44, 10, 20] from Operation: 92-72=20
Current State: 88:[44, 10, 20], Operations: ['92-72=20']
Exploring Operation: 44*20=880, Resulting Numbers: [10, 880]
Generated Node #3: [10, 880] from Operation: 44*20=880
Current State: 88:[10, 880], Operations: ['92-72=20', '44*20=880']
Exploring Operation: 880/10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
42,
23,
38,
69
] | 67 | [
"42-23=19",
"38/19=2",
"69-2=67"
] | Current State: 67:[42, 23, 38, 69], Operations: []
Exploring Operation: 42-23=19, Resulting Numbers: [38, 69, 19]
Generated Node #2: [38, 69, 19] from Operation: 42-23=19
Current State: 67:[38, 69, 19], Operations: ['42-23=19']
Exploring Operation: 38/19=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 38/19=2
Current State: 67:[69, 2], Operations: ['42-23=19', '38/19=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
76,
3,
7,
92
] | 73 | [
"7-3=4",
"76/4=19",
"92-19=73"
] | Current State: 73:[76, 3, 7, 92], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [76, 92, 4]
Generated Node #2: [76, 92, 4] from Operation: 7-3=4
Current State: 73:[76, 92, 4], Operations: ['7-3=4']
Exploring Operation: 76/4=19, Resulting Numbers: [92, 19]
Generated Node #3: [92, 19] from Operation: 76/4=19
Current State: 73:[92, 19], Operations: ['7-3=4', '76/4=19']
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
34,
79,
15,
34
] | 31 | [
"79-34=45",
"45/15=3",
"34-3=31"
] | Current State: 31:[34, 79, 15, 34], Operations: []
Exploring Operation: 79-34=45, Resulting Numbers: [15, 45]
Generated Node #2: [15, 45] from Operation: 79-34=45
Current State: 31:[15, 45], Operations: ['79-34=45']
Exploring Operation: 45/15=3, Resulting Numbers: [3]
3,31 equal: Goal Reached
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
93,
6,
40,
71
] | 68 | [
"93+6=99",
"71-40=31",
"99-31=68"
] | Current State: 68:[93, 6, 40, 71], Operations: []
Exploring Operation: 93+6=99, Resulting Numbers: [40, 71, 99]
Generated Node #2: [40, 71, 99] from Operation: 93+6=99
Current State: 68:[40, 71, 99], Operations: ['93+6=99']
Exploring Operation: 71-40=31, Resulting Numbers: [99, 31]
Generated Node #3: [99, 31] from Operation: 71-40=31
Current State: 68:[99, 31], Operations: ['93+6=99', '71-40=31']
Exploring Operation: 99-31=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
54,
38,
4,
53
] | 36 | [
"54*38=2052",
"4+53=57",
"2052/57=36"
] | Current State: 36:[54, 38, 4, 53], Operations: []
Exploring Operation: 54*38=2052, Resulting Numbers: [4, 53, 2052]
Generated Node #2: [4, 53, 2052] from Operation: 54*38=2052
Current State: 36:[4, 53, 2052], Operations: ['54*38=2052']
Exploring Operation: 4+53=57, Resulting Numbers: [2052, 57]
Generated Node #3: [2052, 57] from Operation: 4+53=57
Current State: 36:[2052, 57], Operations: ['54*38=2052', '4+53=57']
Exploring Operation: 2052/57=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
73,
62,
15,
70
] | 96 | [
"73-62=11",
"15+70=85",
"11+85=96"
] | Current State: 96:[73, 62, 15, 70], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [15, 70, 11]
Generated Node #2: [15, 70, 11] from Operation: 73-62=11
Current State: 96:[15, 70, 11], Operations: ['73-62=11']
Exploring Operation: 15+70=85, Resulting Numbers: [11, 85]
Generated Node #3: [11, 85] from Operation: 15+70=85
Current State: 96:[11, 85], Operations: ['73-62=11', '15+70=85']
Exploring Operation: 11+85=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
10,
43,
58,
34
] | 58 | [
"43-10=33",
"34-33=1",
"58*1=58"
] | Current State: 58:[10, 43, 58, 34], Operations: []
Exploring Operation: 43-10=33, Resulting Numbers: [58, 34, 33]
Generated Node #2: [58, 34, 33] from Operation: 43-10=33
Current State: 58:[58, 34, 33], Operations: ['43-10=33']
Exploring Operation: 34-33=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 34-33=1
Current State: 58:[58, 1], Operations: ['43-10=33', '34-33=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
14,
60,
82,
85
] | 49 | [
"60-14=46",
"85-82=3",
"46+3=49"
] | Current State: 49:[14, 60, 82, 85], Operations: []
Exploring Operation: 60-14=46, Resulting Numbers: [82, 85, 46]
Generated Node #2: [82, 85, 46] from Operation: 60-14=46
Current State: 49:[82, 85, 46], Operations: ['60-14=46']
Exploring Operation: 85-82=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 85-82=3
Current State: 49:[46, 3], Operations: ['60-14=46', '85-82=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
54,
40,
27,
85
] | 44 | [
"54-40=14",
"85-27=58",
"58-14=44"
] | Current State: 44:[54, 40, 27, 85], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [27, 85, 14]
Generated Node #2: [27, 85, 14] from Operation: 54-40=14
Current State: 44:[27, 85, 14], Operations: ['54-40=14']
Exploring Operation: 85-27=58, Resulting Numbers: [14, 58]
Generated Node #3: [14, 58] from Operation: 85-27=58
Current State: 44:[14, 58], Operations: ['54-40=14', '85-27=58']
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
25,
54,
52,
78
] | 54 | [
"25+52=77",
"78-77=1",
"54*1=54"
] | Current State: 54:[25, 54, 52, 78], Operations: []
Exploring Operation: 25+52=77, Resulting Numbers: [54, 78, 77]
Generated Node #2: [54, 78, 77] from Operation: 25+52=77
Current State: 54:[54, 78, 77], Operations: ['25+52=77']
Exploring Operation: 78-77=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 78-77=1
Current State: 54:[54, 1], Operations: ['25+52=77', '78-77=1']
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
1,
83,
81,
40
] | 41 | [
"83-1=82",
"81-40=41",
"82-41=41"
] | Current State: 41:[1, 83, 81, 40], Operations: []
Exploring Operation: 83-1=82, Resulting Numbers: [81, 40, 82]
Generated Node #2: [81, 40, 82] from Operation: 83-1=82
Current State: 41:[81, 40, 82], Operations: ['83-1=82']
Exploring Operation: 81-40=41, Resulting Numbers: [82, 41]
Generated Node #3: [82, 41] from Operation: 81-40=41
Current State: 41:[82, 41], Operations: ['83-1=82', '81-40=41']
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
77,
2,
88,
54
] | 64 | [
"2+54=56",
"88*56=4928",
"4928/77=64"
] | Current State: 64:[77, 2, 88, 54], Operations: []
Exploring Operation: 2+54=56, Resulting Numbers: [77, 88, 56]
Generated Node #2: [77, 88, 56] from Operation: 2+54=56
Current State: 64:[77, 88, 56], Operations: ['2+54=56']
Exploring Operation: 88*56=4928, Resulting Numbers: [77, 4928]
Generated Node #3: [77, 4928] from Operation: 88*56=4928
Current State: 64:[77, 4928], Operations: ['2+54=56', '88*56=4928']
Exploring Operation: 4928/77=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
10,
60,
72,
59
] | 62 | [
"72-10=62",
"60-59=1",
"62*1=62"
] | Current State: 62:[10, 60, 72, 59], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [60, 59, 62]
Generated Node #2: [60, 59, 62] from Operation: 72-10=62
Current State: 62:[60, 59, 62], Operations: ['72-10=62']
Exploring Operation: 60-59=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 60-59=1
Current State: 62:[62, 1], Operations: ['72-10=62', '60-59=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
64,
31,
77,
58
] | 76 | [
"64+31=95",
"77-58=19",
"95-19=76"
] | Current State: 76:[64, 31, 77, 58], Operations: []
Exploring Operation: 64+31=95, Resulting Numbers: [77, 58, 95]
Generated Node #2: [77, 58, 95] from Operation: 64+31=95
Current State: 76:[77, 58, 95], Operations: ['64+31=95']
Exploring Operation: 77-58=19, Resulting Numbers: [95, 19]
Generated Node #3: [95, 19] from Operation: 77-58=19
Current State: 76:[95, 19], Operations: ['64+31=95', '77-58=19']
Exploring Operation: 95-19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
16,
37,
69,
49
] | 98 | [
"69-37=32",
"32/16=2",
"49*2=98"
] | Current State: 98:[16, 37, 69, 49], Operations: []
Exploring Operation: 69-37=32, Resulting Numbers: [16, 49, 32]
Generated Node #2: [16, 49, 32] from Operation: 69-37=32
Current State: 98:[16, 49, 32], Operations: ['69-37=32']
Exploring Operation: 32/16=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 32/16=2
Current State: 98:[49, 2], Operations: ['69-37=32', '32/16=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
64,
32,
38,
73
] | 61 | [
"64+32=96",
"73-38=35",
"96-35=61"
] | Current State: 61:[64, 32, 38, 73], Operations: []
Exploring Operation: 64+32=96, Resulting Numbers: [38, 73, 96]
Generated Node #2: [38, 73, 96] from Operation: 64+32=96
Current State: 61:[38, 73, 96], Operations: ['64+32=96']
Exploring Operation: 73-38=35, Resulting Numbers: [96, 35]
Generated Node #3: [96, 35] from Operation: 73-38=35
Current State: 61:[96, 35], Operations: ['64+32=96', '73-38=35']
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
54,
41,
86,
77
] | 86 | [
"54+41=95",
"86-77=9",
"95-9=86"
] | Current State: 86:[54, 41, 86, 77], Operations: []
Exploring Operation: 54+41=95, Resulting Numbers: [86, 77, 95]
Generated Node #2: [86, 77, 95] from Operation: 54+41=95
Current State: 86:[86, 77, 95], Operations: ['54+41=95']
Exploring Operation: 86-77=9, Resulting Numbers: [95, 9]
Generated Node #3: [95, 9] from Operation: 86-77=9
Current State: 86:[95, 9], Operations: ['54+41=95', '86-77=9']
Exploring Operation: 95-9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
10,
61,
62,
56
] | 31 | [
"61-56=5",
"10/5=2",
"62/2=31"
] | Current State: 31:[10, 61, 62, 56], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [10, 62, 5]
Generated Node #2: [10, 62, 5] from Operation: 61-56=5
Current State: 31:[10, 62, 5], Operations: ['61-56=5']
Exploring Operation: 10/5=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 10/5=2
Current State: 31:[62, 2], Operations: ['61-56=5', '10/5=2']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
41,
97,
45,
27
] | 38 | [
"97-41=56",
"45-27=18",
"56-18=38"
] | Current State: 38:[41, 97, 45, 27], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [45, 27, 56]
Generated Node #2: [45, 27, 56] from Operation: 97-41=56
Current State: 38:[45, 27, 56], Operations: ['97-41=56']
Exploring Operation: 45-27=18, Resulting Numbers: [56, 18]
Generated Node #3: [56, 18] from Operation: 45-27=18
Current State: 38:[56, 18], Operations: ['97-41=56', '45-27=18']
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
29,
42,
55,
54
] | 70 | [
"29+42=71",
"55-54=1",
"71-1=70"
] | Current State: 70:[29, 42, 55, 54], Operations: []
Exploring Operation: 29+42=71, Resulting Numbers: [55, 54, 71]
Generated Node #2: [55, 54, 71] from Operation: 29+42=71
Current State: 70:[55, 54, 71], Operations: ['29+42=71']
Exploring Operation: 55-54=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 55-54=1
Current State: 70:[71, 1], Operations: ['29+42=71', '55-54=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
98,
47,
67,
11
] | 67 | [
"98+47=145",
"67+11=78",
"145-78=67"
] | Current State: 67:[98, 47, 67, 11], Operations: []
Exploring Operation: 98+47=145, Resulting Numbers: [67, 11, 145]
Generated Node #2: [67, 11, 145] from Operation: 98+47=145
Current State: 67:[67, 11, 145], Operations: ['98+47=145']
Exploring Operation: 67+11=78, Resulting Numbers: [145, 78]
Generated Node #3: [145, 78] from Operation: 67+11=78
Current State: 67:[145, 78], Operations: ['98+47=145', '67+11=78']
Exploring Operation: 145-78=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
84,
6,
50,
84
] | 57 | [
"84/84=1",
"6+50=56",
"1+56=57"
] | Current State: 57:[84, 6, 50, 84], Operations: []
Exploring Operation: 84/84=1, Resulting Numbers: [6, 50, 1]
Generated Node #2: [6, 50, 1] from Operation: 84/84=1
Current State: 57:[6, 50, 1], Operations: ['84/84=1']
Exploring Operation: 6+50=56, Resulting Numbers: [1, 56]
Generated Node #3: [1, 56] from Operation: 6+50=56
Current State: 57:[1, 56], Operations: ['84/84=1', '6+50=56']
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
82,
90,
22,
86
] | 56 | [
"90-82=8",
"86-22=64",
"64-8=56"
] | Current State: 56:[82, 90, 22, 86], Operations: []
Exploring Operation: 90-82=8, Resulting Numbers: [22, 86, 8]
Generated Node #2: [22, 86, 8] from Operation: 90-82=8
Current State: 56:[22, 86, 8], Operations: ['90-82=8']
Exploring Operation: 86-22=64, Resulting Numbers: [8, 64]
Generated Node #3: [8, 64] from Operation: 86-22=64
Current State: 56:[8, 64], Operations: ['90-82=8', '86-22=64']
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
32,
83,
55,
32
] | 29 | [
"32/32=1",
"83-55=28",
"1+28=29"
] | Current State: 29:[32, 83, 55, 32], Operations: []
Exploring Operation: 32/32=1, Resulting Numbers: [83, 55, 1]
Generated Node #2: [83, 55, 1] from Operation: 32/32=1
Current State: 29:[83, 55, 1], Operations: ['32/32=1']
Exploring Operation: 83-55=28, Resulting Numbers: [1, 28]
Generated Node #3: [1, 28] from Operation: 83-55=28
Current State: 29:[1, 28], Operations: ['32/32=1', '83-55=28']
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
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