nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
12,
30,
26,
23
] | 67 | [
"30-12=18",
"26+23=49",
"18+49=67"
] | Current State: 67:[12, 30, 26, 23], Operations: []
Exploring Operation: 30-12=18, Resulting Numbers: [26, 23, 18]
Generated Node #2: [26, 23, 18] from Operation: 30-12=18
Current State: 67:[26, 23, 18], Operations: ['30-12=18']
Exploring Operation: 26+23=49, Resulting Numbers: [18, 49]
Generated Node #3: [18, 49] from Operation: 26+23=49
Current State: 67:[18, 49], Operations: ['30-12=18', '26+23=49']
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
2,
52,
25,
25
] | 77 | [
"2*25=50",
"52-25=27",
"50+27=77"
] | Current State: 77:[2, 52, 25, 25], Operations: []
Exploring Operation: 2*25=50, Resulting Numbers: [52, 50]
Generated Node #2: [52, 50] from Operation: 2*25=50
Current State: 77:[52, 50], Operations: ['2*25=50']
Exploring Operation: 52-25=27, Resulting Numbers: [50, 27]
Generated Node #3: [50, 27] from Operation: 52-25=27
Current State: 77:[50, 27], Operations: ['2*25=50', '52-25=27']
Exploring Operation: 50+27=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
44,
9,
24,
54
] | 25 | [
"44+9=53",
"24+54=78",
"78-53=25"
] | Current State: 25:[44, 9, 24, 54], Operations: []
Exploring Operation: 44+9=53, Resulting Numbers: [24, 54, 53]
Generated Node #2: [24, 54, 53] from Operation: 44+9=53
Current State: 25:[24, 54, 53], Operations: ['44+9=53']
Exploring Operation: 24+54=78, Resulting Numbers: [53, 78]
Generated Node #3: [53, 78] from Operation: 24+54=78
Current State: 25:[53, 78], Operations: ['44+9=53', '24+54=78']
Exploring Operation: 78-53=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
27,
10,
26,
74
] | 65 | [
"27-10=17",
"74-26=48",
"17+48=65"
] | Current State: 65:[27, 10, 26, 74], Operations: []
Exploring Operation: 27-10=17, Resulting Numbers: [26, 74, 17]
Generated Node #2: [26, 74, 17] from Operation: 27-10=17
Current State: 65:[26, 74, 17], Operations: ['27-10=17']
Exploring Operation: 74-26=48, Resulting Numbers: [17, 48]
Generated Node #3: [17, 48] from Operation: 74-26=48
Current State: 65:[17, 48], Operations: ['27-10=17', '74-26=48']
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
3,
52,
72,
1
] | 77 | [
"72/3=24",
"52+1=53",
"24+53=77"
] | Current State: 77:[3, 52, 72, 1], Operations: []
Exploring Operation: 72/3=24, Resulting Numbers: [52, 1, 24]
Generated Node #2: [52, 1, 24] from Operation: 72/3=24
Current State: 77:[52, 1, 24], Operations: ['72/3=24']
Exploring Operation: 52+1=53, Resulting Numbers: [24, 53]
Generated Node #3: [24, 53] from Operation: 52+1=53
Current State: 77:[24, 53], Operations: ['72/3=24', '52+1=53']
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
94,
10,
81,
66
] | 97 | [
"94+66=160",
"160/10=16",
"81+16=97"
] | Current State: 97:[94, 10, 81, 66], Operations: []
Exploring Operation: 94+66=160, Resulting Numbers: [10, 81, 160]
Generated Node #2: [10, 81, 160] from Operation: 94+66=160
Current State: 97:[10, 81, 160], Operations: ['94+66=160']
Exploring Operation: 160/10=16, Resulting Numbers: [81, 16]
Generated Node #3: [81, 16] from Operation: 160/10=16
Current State: 97:[81, 16], Operations: ['94+66=160', '160/10=16']
Exploring Operation: 81+16=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
81,
76,
46,
93
] | 18 | [
"81+76=157",
"46+93=139",
"157-139=18"
] | Current State: 18:[81, 76, 46, 93], Operations: []
Exploring Operation: 81+76=157, Resulting Numbers: [46, 93, 157]
Generated Node #2: [46, 93, 157] from Operation: 81+76=157
Current State: 18:[46, 93, 157], Operations: ['81+76=157']
Exploring Operation: 46+93=139, Resulting Numbers: [157, 139]
Generated Node #3: [157, 139] from Operation: 46+93=139
Current State: 18:[157, 139], Operations: ['81+76=157', '46+93=139']
Exploring Operation: 157-139=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
28,
96,
3,
29
] | 37 | [
"28+96=124",
"3*29=87",
"124-87=37"
] | Current State: 37:[28, 96, 3, 29], Operations: []
Exploring Operation: 28+96=124, Resulting Numbers: [3, 29, 124]
Generated Node #2: [3, 29, 124] from Operation: 28+96=124
Current State: 37:[3, 29, 124], Operations: ['28+96=124']
Exploring Operation: 3*29=87, Resulting Numbers: [124, 87]
Generated Node #3: [124, 87] from Operation: 3*29=87
Current State: 37:[124, 87], Operations: ['28+96=124', '3*29=87']
Exploring Operation: 124-87=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
2,
32,
97,
99
] | 68 | [
"2+32=34",
"99-97=2",
"34*2=68"
] | Current State: 68:[2, 32, 97, 99], Operations: []
Exploring Operation: 2+32=34, Resulting Numbers: [97, 99, 34]
Generated Node #2: [97, 99, 34] from Operation: 2+32=34
Current State: 68:[97, 99, 34], Operations: ['2+32=34']
Exploring Operation: 99-97=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 99-97=2
Current State: 68:[34, 2], Operations: ['2+32=34', '99-97=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
64,
12,
33,
9
] | 100 | [
"64+12=76",
"33-9=24",
"76+24=100"
] | Current State: 100:[64, 12, 33, 9], Operations: []
Exploring Operation: 64+12=76, Resulting Numbers: [33, 9, 76]
Generated Node #2: [33, 9, 76] from Operation: 64+12=76
Current State: 100:[33, 9, 76], Operations: ['64+12=76']
Exploring Operation: 33-9=24, Resulting Numbers: [76, 24]
Generated Node #3: [76, 24] from Operation: 33-9=24
Current State: 100:[76, 24], Operations: ['64+12=76', '33-9=24']
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
58,
62,
56,
87
] | 27 | [
"62-58=4",
"87-56=31",
"31-4=27"
] | Current State: 27:[58, 62, 56, 87], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [56, 87, 4]
Generated Node #2: [56, 87, 4] from Operation: 62-58=4
Current State: 27:[56, 87, 4], Operations: ['62-58=4']
Exploring Operation: 87-56=31, Resulting Numbers: [4, 31]
Generated Node #3: [4, 31] from Operation: 87-56=31
Current State: 27:[4, 31], Operations: ['62-58=4', '87-56=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
90,
45,
65,
70
] | 99 | [
"70-65=5",
"45/5=9",
"90+9=99"
] | Current State: 99:[90, 45, 65, 70], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [90, 45, 5]
Generated Node #2: [90, 45, 5] from Operation: 70-65=5
Current State: 99:[90, 45, 5], Operations: ['70-65=5']
Exploring Operation: 45/5=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 45/5=9
Current State: 99:[90, 9], Operations: ['70-65=5', '45/5=9']
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
78,
18,
6,
35
] | 27 | [
"18/6=3",
"35*3=105",
"105-78=27"
] | Current State: 27:[78, 18, 6, 35], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [78, 35, 3]
Generated Node #2: [78, 35, 3] from Operation: 18/6=3
Current State: 27:[78, 35, 3], Operations: ['18/6=3']
Exploring Operation: 35*3=105, Resulting Numbers: [78, 105]
Generated Node #3: [78, 105] from Operation: 35*3=105
Current State: 27:[78, 105], Operations: ['18/6=3', '35*3=105']
Exploring Operation: 105-78=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
76,
31,
74,
99
] | 37 | [
"76-74=2",
"31*2=62",
"99-62=37"
] | Current State: 37:[76, 31, 74, 99], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [31, 99, 2]
Generated Node #2: [31, 99, 2] from Operation: 76-74=2
Current State: 37:[31, 99, 2], Operations: ['76-74=2']
Exploring Operation: 31*2=62, Resulting Numbers: [99, 62]
Generated Node #3: [99, 62] from Operation: 31*2=62
Current State: 37:[99, 62], Operations: ['76-74=2', '31*2=62']
Exploring Operation: 99-62=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
26,
45,
41,
32
] | 82 | [
"26*41=1066",
"45-32=13",
"1066/13=82"
] | Current State: 82:[26, 45, 41, 32], Operations: []
Exploring Operation: 26*41=1066, Resulting Numbers: [45, 32, 1066]
Generated Node #2: [45, 32, 1066] from Operation: 26*41=1066
Current State: 82:[45, 32, 1066], Operations: ['26*41=1066']
Exploring Operation: 45-32=13, Resulting Numbers: [1066, 13]
Generated Node #3: [1066, 13] from Operation: 45-32=13
Current State: 82:[1066, 13], Operations: ['26*41=1066', '45-32=13']
Exploring Operation: 1066/13=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
46,
2,
82,
67
] | 77 | [
"46*2=92",
"82-67=15",
"92-15=77"
] | Current State: 77:[46, 2, 82, 67], Operations: []
Exploring Operation: 46*2=92, Resulting Numbers: [82, 67, 92]
Generated Node #2: [82, 67, 92] from Operation: 46*2=92
Current State: 77:[82, 67, 92], Operations: ['46*2=92']
Exploring Operation: 82-67=15, Resulting Numbers: [92, 15]
Generated Node #3: [92, 15] from Operation: 82-67=15
Current State: 77:[92, 15], Operations: ['46*2=92', '82-67=15']
Exploring Operation: 92-15=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
25,
8,
26,
93
] | 34 | [
"25+8=33",
"93-26=67",
"67-33=34"
] | Current State: 34:[25, 8, 26, 93], Operations: []
Exploring Operation: 25+8=33, Resulting Numbers: [26, 93, 33]
Generated Node #2: [26, 93, 33] from Operation: 25+8=33
Current State: 34:[26, 93, 33], Operations: ['25+8=33']
Exploring Operation: 93-26=67, Resulting Numbers: [33, 67]
Generated Node #3: [33, 67] from Operation: 93-26=67
Current State: 34:[33, 67], Operations: ['25+8=33', '93-26=67']
Exploring Operation: 67-33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
15,
82,
94,
13
] | 35 | [
"15-13=2",
"94/2=47",
"82-47=35"
] | Current State: 35:[15, 82, 94, 13], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [82, 94, 2]
Generated Node #2: [82, 94, 2] from Operation: 15-13=2
Current State: 35:[82, 94, 2], Operations: ['15-13=2']
Exploring Operation: 94/2=47, Resulting Numbers: [82, 47]
Generated Node #3: [82, 47] from Operation: 94/2=47
Current State: 35:[82, 47], Operations: ['15-13=2', '94/2=47']
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
72,
86,
80,
98
] | 23 | [
"80-72=8",
"86+98=184",
"184/8=23"
] | Current State: 23:[72, 86, 80, 98], Operations: []
Exploring Operation: 80-72=8, Resulting Numbers: [86, 98, 8]
Generated Node #2: [86, 98, 8] from Operation: 80-72=8
Current State: 23:[86, 98, 8], Operations: ['80-72=8']
Exploring Operation: 86+98=184, Resulting Numbers: [8, 184]
Generated Node #3: [8, 184] from Operation: 86+98=184
Current State: 23:[8, 184], Operations: ['80-72=8', '86+98=184']
Exploring Operation: 184/8=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
79,
3,
34,
75
] | 52 | [
"79+75=154",
"3*34=102",
"154-102=52"
] | Current State: 52:[79, 3, 34, 75], Operations: []
Exploring Operation: 79+75=154, Resulting Numbers: [3, 34, 154]
Generated Node #2: [3, 34, 154] from Operation: 79+75=154
Current State: 52:[3, 34, 154], Operations: ['79+75=154']
Exploring Operation: 3*34=102, Resulting Numbers: [154, 102]
Generated Node #3: [154, 102] from Operation: 3*34=102
Current State: 52:[154, 102], Operations: ['79+75=154', '3*34=102']
Exploring Operation: 154-102=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
92,
12,
6,
60
] | 70 | [
"92-12=80",
"60/6=10",
"80-10=70"
] | Current State: 70:[92, 12, 6, 60], Operations: []
Exploring Operation: 92-12=80, Resulting Numbers: [6, 60, 80]
Generated Node #2: [6, 60, 80] from Operation: 92-12=80
Current State: 70:[6, 60, 80], Operations: ['92-12=80']
Exploring Operation: 60/6=10, Resulting Numbers: [80, 10]
Generated Node #3: [80, 10] from Operation: 60/6=10
Current State: 70:[80, 10], Operations: ['92-12=80', '60/6=10']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
68,
34,
15,
15
] | 28 | [
"68/34=2",
"15+15=30",
"30-2=28"
] | Current State: 28:[68, 34, 15, 15], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [15, 15, 2]
Generated Node #2: [15, 15, 2] from Operation: 68/34=2
Current State: 28:[15, 15, 2], Operations: ['68/34=2']
Exploring Operation: 15+15=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 15+15=30
Current State: 28:[2, 30], Operations: ['68/34=2', '15+15=30']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
77,
55,
81,
44
] | 63 | [
"77*81=6237",
"55+44=99",
"6237/99=63"
] | Current State: 63:[77, 55, 81, 44], Operations: []
Exploring Operation: 77*81=6237, Resulting Numbers: [55, 44, 6237]
Generated Node #2: [55, 44, 6237] from Operation: 77*81=6237
Current State: 63:[55, 44, 6237], Operations: ['77*81=6237']
Exploring Operation: 55+44=99, Resulting Numbers: [6237, 99]
Generated Node #3: [6237, 99] from Operation: 55+44=99
Current State: 63:[6237, 99], Operations: ['77*81=6237', '55+44=99']
Exploring Operation: 6237/99=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
62,
6,
8,
51
] | 58 | [
"62-6=56",
"56/8=7",
"51+7=58"
] | Current State: 58:[62, 6, 8, 51], Operations: []
Exploring Operation: 62-6=56, Resulting Numbers: [8, 51, 56]
Generated Node #2: [8, 51, 56] from Operation: 62-6=56
Current State: 58:[8, 51, 56], Operations: ['62-6=56']
Exploring Operation: 56/8=7, Resulting Numbers: [51, 7]
Generated Node #3: [51, 7] from Operation: 56/8=7
Current State: 58:[51, 7], Operations: ['62-6=56', '56/8=7']
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
92,
11,
45,
16
] | 42 | [
"92+11=103",
"45+16=61",
"103-61=42"
] | Current State: 42:[92, 11, 45, 16], Operations: []
Exploring Operation: 92+11=103, Resulting Numbers: [45, 16, 103]
Generated Node #2: [45, 16, 103] from Operation: 92+11=103
Current State: 42:[45, 16, 103], Operations: ['92+11=103']
Exploring Operation: 45+16=61, Resulting Numbers: [103, 61]
Generated Node #3: [103, 61] from Operation: 45+16=61
Current State: 42:[103, 61], Operations: ['92+11=103', '45+16=61']
Exploring Operation: 103-61=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
21,
9,
6,
70
] | 65 | [
"21+9=30",
"30/6=5",
"70-5=65"
] | Current State: 65:[21, 9, 6, 70], Operations: []
Exploring Operation: 21+9=30, Resulting Numbers: [6, 70, 30]
Generated Node #2: [6, 70, 30] from Operation: 21+9=30
Current State: 65:[6, 70, 30], Operations: ['21+9=30']
Exploring Operation: 30/6=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 30/6=5
Current State: 65:[70, 5], Operations: ['21+9=30', '30/6=5']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
93,
53,
28,
2
] | 59 | [
"93+53=146",
"146-28=118",
"118/2=59"
] | Current State: 59:[93, 53, 28, 2], Operations: []
Exploring Operation: 93+53=146, Resulting Numbers: [28, 2, 146]
Generated Node #2: [28, 2, 146] from Operation: 93+53=146
Current State: 59:[28, 2, 146], Operations: ['93+53=146']
Exploring Operation: 146-28=118, Resulting Numbers: [2, 118]
Generated Node #3: [2, 118] from Operation: 146-28=118
Current State: 59:[2, 118], Operations: ['93+53=146', '146-28=118']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
43,
6,
51,
9
] | 39 | [
"51-43=8",
"6*8=48",
"48-9=39"
] | Current State: 39:[43, 6, 51, 9], Operations: []
Exploring Operation: 51-43=8, Resulting Numbers: [6, 9, 8]
Generated Node #2: [6, 9, 8] from Operation: 51-43=8
Current State: 39:[6, 9, 8], Operations: ['51-43=8']
Exploring Operation: 6*8=48, Resulting Numbers: [9, 48]
Generated Node #3: [9, 48] from Operation: 6*8=48
Current State: 39:[9, 48], Operations: ['51-43=8', '6*8=48']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
12,
8,
74,
53
] | 31 | [
"12*8=96",
"74+53=127",
"127-96=31"
] | Current State: 31:[12, 8, 74, 53], Operations: []
Exploring Operation: 12*8=96, Resulting Numbers: [74, 53, 96]
Generated Node #2: [74, 53, 96] from Operation: 12*8=96
Current State: 31:[74, 53, 96], Operations: ['12*8=96']
Exploring Operation: 74+53=127, Resulting Numbers: [96, 127]
Generated Node #3: [96, 127] from Operation: 74+53=127
Current State: 31:[96, 127], Operations: ['12*8=96', '74+53=127']
Exploring Operation: 127-96=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
48,
9,
50,
50
] | 68 | [
"50-48=2",
"9*2=18",
"50+18=68"
] | Current State: 68:[48, 9, 50, 50], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [9, 2]
Generated Node #2: [9, 2] from Operation: 50-48=2
Current State: 68:[9, 2], Operations: ['50-48=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,68 equal: Goal Reached
Exploring Operation: 50+18=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
8,
8,
63,
96
] | 95 | [
"8*8=64",
"63+96=159",
"159-64=95"
] | Current State: 95:[8, 8, 63, 96], Operations: []
Exploring Operation: 8*8=64, Resulting Numbers: [63, 96, 64]
Generated Node #2: [63, 96, 64] from Operation: 8*8=64
Current State: 95:[63, 96, 64], Operations: ['8*8=64']
Exploring Operation: 63+96=159, Resulting Numbers: [64, 159]
Generated Node #3: [64, 159] from Operation: 63+96=159
Current State: 95:[64, 159], Operations: ['8*8=64', '63+96=159']
Exploring Operation: 159-64=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
57,
20,
5,
71
] | 56 | [
"71-57=14",
"20/5=4",
"14*4=56"
] | Current State: 56:[57, 20, 5, 71], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [20, 5, 14]
Generated Node #2: [20, 5, 14] from Operation: 71-57=14
Current State: 56:[20, 5, 14], Operations: ['71-57=14']
Exploring Operation: 20/5=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 20/5=4
Current State: 56:[14, 4], Operations: ['71-57=14', '20/5=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
14,
30,
65,
5
] | 99 | [
"65-14=51",
"30*5=150",
"150-51=99"
] | Current State: 99:[14, 30, 65, 5], Operations: []
Exploring Operation: 65-14=51, Resulting Numbers: [30, 5, 51]
Generated Node #2: [30, 5, 51] from Operation: 65-14=51
Current State: 99:[30, 5, 51], Operations: ['65-14=51']
Exploring Operation: 30*5=150, Resulting Numbers: [51, 150]
Generated Node #3: [51, 150] from Operation: 30*5=150
Current State: 99:[51, 150], Operations: ['65-14=51', '30*5=150']
Exploring Operation: 150-51=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
23,
32,
12,
37
] | 36 | [
"32+37=69",
"69/23=3",
"12*3=36"
] | Current State: 36:[23, 32, 12, 37], Operations: []
Exploring Operation: 32+37=69, Resulting Numbers: [23, 12, 69]
Generated Node #2: [23, 12, 69] from Operation: 32+37=69
Current State: 36:[23, 12, 69], Operations: ['32+37=69']
Exploring Operation: 69/23=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 69/23=3
Current State: 36:[12, 3], Operations: ['32+37=69', '69/23=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
46,
2,
65,
20
] | 64 | [
"46+20=66",
"2*65=130",
"130-66=64"
] | Current State: 64:[46, 2, 65, 20], Operations: []
Exploring Operation: 46+20=66, Resulting Numbers: [2, 65, 66]
Generated Node #2: [2, 65, 66] from Operation: 46+20=66
Current State: 64:[2, 65, 66], Operations: ['46+20=66']
Exploring Operation: 2*65=130, Resulting Numbers: [66, 130]
Generated Node #3: [66, 130] from Operation: 2*65=130
Current State: 64:[66, 130], Operations: ['46+20=66', '2*65=130']
Exploring Operation: 130-66=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
47,
85,
86,
49
] | 87 | [
"49-47=2",
"86*2=172",
"172-85=87"
] | Current State: 87:[47, 85, 86, 49], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [85, 86, 2]
Generated Node #2: [85, 86, 2] from Operation: 49-47=2
Current State: 87:[85, 86, 2], Operations: ['49-47=2']
Exploring Operation: 86*2=172, Resulting Numbers: [85, 172]
Generated Node #3: [85, 172] from Operation: 86*2=172
Current State: 87:[85, 172], Operations: ['49-47=2', '86*2=172']
Exploring Operation: 172-85=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
14,
5,
56,
70
] | 46 | [
"70/14=5",
"56-5=51",
"51-5=46"
] | Current State: 46:[14, 5, 56, 70], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [5, 56, 5]
Generated Node #2: [5, 56, 5] from Operation: 70/14=5
Current State: 46:[5, 56, 5], Operations: ['70/14=5']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,46 equal: Goal Reached
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
92,
74,
87,
6
] | 21 | [
"92-74=18",
"6*18=108",
"108-87=21"
] | Current State: 21:[92, 74, 87, 6], Operations: []
Exploring Operation: 92-74=18, Resulting Numbers: [87, 6, 18]
Generated Node #2: [87, 6, 18] from Operation: 92-74=18
Current State: 21:[87, 6, 18], Operations: ['92-74=18']
Exploring Operation: 6*18=108, Resulting Numbers: [87, 108]
Generated Node #3: [87, 108] from Operation: 6*18=108
Current State: 21:[87, 108], Operations: ['92-74=18', '6*18=108']
Exploring Operation: 108-87=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
32,
31,
53,
97
] | 44 | [
"32-31=1",
"97-53=44",
"1*44=44"
] | Current State: 44:[32, 31, 53, 97], Operations: []
Exploring Operation: 32-31=1, Resulting Numbers: [53, 97, 1]
Generated Node #2: [53, 97, 1] from Operation: 32-31=1
Current State: 44:[53, 97, 1], Operations: ['32-31=1']
Exploring Operation: 97-53=44, Resulting Numbers: [1, 44]
Generated Node #3: [1, 44] from Operation: 97-53=44
Current State: 44:[1, 44], Operations: ['32-31=1', '97-53=44']
Exploring Operation: 1*44=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
30,
76,
26,
46
] | 27 | [
"76-30=46",
"46/46=1",
"26+1=27"
] | Current State: 27:[30, 76, 26, 46], Operations: []
Exploring Operation: 76-30=46, Resulting Numbers: [26, 46, 46]
Generated Node #2: [26, 46, 46] from Operation: 76-30=46
Current State: 27:[26, 46, 46], Operations: ['76-30=46']
Exploring Operation: 46/46=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 46/46=1
Current State: 27:[26, 1], Operations: ['76-30=46', '46/46=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
96,
35,
26,
19
] | 68 | [
"96-35=61",
"26-19=7",
"61+7=68"
] | Current State: 68:[96, 35, 26, 19], Operations: []
Exploring Operation: 96-35=61, Resulting Numbers: [26, 19, 61]
Generated Node #2: [26, 19, 61] from Operation: 96-35=61
Current State: 68:[26, 19, 61], Operations: ['96-35=61']
Exploring Operation: 26-19=7, Resulting Numbers: [61, 7]
Generated Node #3: [61, 7] from Operation: 26-19=7
Current State: 68:[61, 7], Operations: ['96-35=61', '26-19=7']
Exploring Operation: 61+7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
15,
60,
78,
70
] | 37 | [
"60-15=45",
"78-70=8",
"45-8=37"
] | Current State: 37:[15, 60, 78, 70], Operations: []
Exploring Operation: 60-15=45, Resulting Numbers: [78, 70, 45]
Generated Node #2: [78, 70, 45] from Operation: 60-15=45
Current State: 37:[78, 70, 45], Operations: ['60-15=45']
Exploring Operation: 78-70=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 78-70=8
Current State: 37:[45, 8], Operations: ['60-15=45', '78-70=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
45,
23,
26,
62
] | 51 | [
"62-45=17",
"26-23=3",
"17*3=51"
] | Current State: 51:[45, 23, 26, 62], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [23, 26, 17]
Generated Node #2: [23, 26, 17] from Operation: 62-45=17
Current State: 51:[23, 26, 17], Operations: ['62-45=17']
Exploring Operation: 26-23=3, Resulting Numbers: [17, 3]
Generated Node #3: [17, 3] from Operation: 26-23=3
Current State: 51:[17, 3], Operations: ['62-45=17', '26-23=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
37,
23,
24,
21
] | 57 | [
"37+23=60",
"24-21=3",
"60-3=57"
] | Current State: 57:[37, 23, 24, 21], Operations: []
Exploring Operation: 37+23=60, Resulting Numbers: [24, 21, 60]
Generated Node #2: [24, 21, 60] from Operation: 37+23=60
Current State: 57:[24, 21, 60], Operations: ['37+23=60']
Exploring Operation: 24-21=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 24-21=3
Current State: 57:[60, 3], Operations: ['37+23=60', '24-21=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
88,
24,
94,
98
] | 68 | [
"88-24=64",
"98-94=4",
"64+4=68"
] | Current State: 68:[88, 24, 94, 98], Operations: []
Exploring Operation: 88-24=64, Resulting Numbers: [94, 98, 64]
Generated Node #2: [94, 98, 64] from Operation: 88-24=64
Current State: 68:[94, 98, 64], Operations: ['88-24=64']
Exploring Operation: 98-94=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 98-94=4
Current State: 68:[64, 4], Operations: ['88-24=64', '98-94=4']
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
74,
72,
17,
88
] | 75 | [
"74+72=146",
"88-17=71",
"146-71=75"
] | Current State: 75:[74, 72, 17, 88], Operations: []
Exploring Operation: 74+72=146, Resulting Numbers: [17, 88, 146]
Generated Node #2: [17, 88, 146] from Operation: 74+72=146
Current State: 75:[17, 88, 146], Operations: ['74+72=146']
Exploring Operation: 88-17=71, Resulting Numbers: [146, 71]
Generated Node #3: [146, 71] from Operation: 88-17=71
Current State: 75:[146, 71], Operations: ['74+72=146', '88-17=71']
Exploring Operation: 146-71=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
54,
1,
17,
76
] | 73 | [
"1+17=18",
"54/18=3",
"76-3=73"
] | Current State: 73:[54, 1, 17, 76], Operations: []
Exploring Operation: 1+17=18, Resulting Numbers: [54, 76, 18]
Generated Node #2: [54, 76, 18] from Operation: 1+17=18
Current State: 73:[54, 76, 18], Operations: ['1+17=18']
Exploring Operation: 54/18=3, Resulting Numbers: [76, 3]
Generated Node #3: [76, 3] from Operation: 54/18=3
Current State: 73:[76, 3], Operations: ['1+17=18', '54/18=3']
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
96,
94,
63,
76
] | 26 | [
"96-94=2",
"76-63=13",
"2*13=26"
] | Current State: 26:[96, 94, 63, 76], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [63, 76, 2]
Generated Node #2: [63, 76, 2] from Operation: 96-94=2
Current State: 26:[63, 76, 2], Operations: ['96-94=2']
Exploring Operation: 76-63=13, Resulting Numbers: [2, 13]
Generated Node #3: [2, 13] from Operation: 76-63=13
Current State: 26:[2, 13], Operations: ['96-94=2', '76-63=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
68,
3,
74,
76
] | 68 | [
"3+74=77",
"77-76=1",
"68*1=68"
] | Current State: 68:[68, 3, 74, 76], Operations: []
Exploring Operation: 3+74=77, Resulting Numbers: [68, 76, 77]
Generated Node #2: [68, 76, 77] from Operation: 3+74=77
Current State: 68:[68, 76, 77], Operations: ['3+74=77']
Exploring Operation: 77-76=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 77-76=1
Current State: 68:[68, 1], Operations: ['3+74=77', '77-76=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
55,
50,
2,
67
] | 89 | [
"67-50=17",
"2*17=34",
"55+34=89"
] | Current State: 89:[55, 50, 2, 67], Operations: []
Exploring Operation: 67-50=17, Resulting Numbers: [55, 2, 17]
Generated Node #2: [55, 2, 17] from Operation: 67-50=17
Current State: 89:[55, 2, 17], Operations: ['67-50=17']
Exploring Operation: 2*17=34, Resulting Numbers: [55, 34]
Generated Node #3: [55, 34] from Operation: 2*17=34
Current State: 89:[55, 34], Operations: ['67-50=17', '2*17=34']
Exploring Operation: 55+34=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
82,
8,
18,
51
] | 43 | [
"82-18=64",
"64/8=8",
"51-8=43"
] | Current State: 43:[82, 8, 18, 51], Operations: []
Exploring Operation: 82-18=64, Resulting Numbers: [8, 51, 64]
Generated Node #2: [8, 51, 64] from Operation: 82-18=64
Current State: 43:[8, 51, 64], Operations: ['82-18=64']
Exploring Operation: 64/8=8, Resulting Numbers: [51, 8]
Generated Node #3: [51, 8] from Operation: 64/8=8
Current State: 43:[51, 8], Operations: ['82-18=64', '64/8=8']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
16,
49,
2,
17
] | 47 | [
"17-16=1",
"49-2=47",
"1*47=47"
] | Current State: 47:[16, 49, 2, 17], Operations: []
Exploring Operation: 17-16=1, Resulting Numbers: [49, 2, 1]
Generated Node #2: [49, 2, 1] from Operation: 17-16=1
Current State: 47:[49, 2, 1], Operations: ['17-16=1']
Exploring Operation: 49-2=47, Resulting Numbers: [1, 47]
Generated Node #3: [1, 47] from Operation: 49-2=47
Current State: 47:[1, 47], Operations: ['17-16=1', '49-2=47']
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
43,
24,
58,
96
] | 11 | [
"58-43=15",
"96/24=4",
"15-4=11"
] | Current State: 11:[43, 24, 58, 96], Operations: []
Exploring Operation: 58-43=15, Resulting Numbers: [24, 96, 15]
Generated Node #2: [24, 96, 15] from Operation: 58-43=15
Current State: 11:[24, 96, 15], Operations: ['58-43=15']
Exploring Operation: 96/24=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 96/24=4
Current State: 11:[15, 4], Operations: ['58-43=15', '96/24=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
48,
68,
2,
72
] | 51 | [
"48*2=96",
"68*72=4896",
"4896/96=51"
] | Current State: 51:[48, 68, 2, 72], Operations: []
Exploring Operation: 48*2=96, Resulting Numbers: [68, 72, 96]
Generated Node #2: [68, 72, 96] from Operation: 48*2=96
Current State: 51:[68, 72, 96], Operations: ['48*2=96']
Exploring Operation: 68*72=4896, Resulting Numbers: [96, 4896]
Generated Node #3: [96, 4896] from Operation: 68*72=4896
Current State: 51:[96, 4896], Operations: ['48*2=96', '68*72=4896']
Exploring Operation: 4896/96=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
65,
42,
6,
28
] | 73 | [
"65+42=107",
"6+28=34",
"107-34=73"
] | Current State: 73:[65, 42, 6, 28], Operations: []
Exploring Operation: 65+42=107, Resulting Numbers: [6, 28, 107]
Generated Node #2: [6, 28, 107] from Operation: 65+42=107
Current State: 73:[6, 28, 107], Operations: ['65+42=107']
Exploring Operation: 6+28=34, Resulting Numbers: [107, 34]
Generated Node #3: [107, 34] from Operation: 6+28=34
Current State: 73:[107, 34], Operations: ['65+42=107', '6+28=34']
Exploring Operation: 107-34=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
33,
72,
31,
10
] | 92 | [
"33-31=2",
"10*2=20",
"72+20=92"
] | Current State: 92:[33, 72, 31, 10], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [72, 10, 2]
Generated Node #2: [72, 10, 2] from Operation: 33-31=2
Current State: 92:[72, 10, 2], Operations: ['33-31=2']
Exploring Operation: 10*2=20, Resulting Numbers: [72, 20]
Generated Node #3: [72, 20] from Operation: 10*2=20
Current State: 92:[72, 20], Operations: ['33-31=2', '10*2=20']
Exploring Operation: 72+20=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
9,
73,
6,
53
] | 39 | [
"9*53=477",
"73*6=438",
"477-438=39"
] | Current State: 39:[9, 73, 6, 53], Operations: []
Exploring Operation: 9*53=477, Resulting Numbers: [73, 6, 477]
Generated Node #2: [73, 6, 477] from Operation: 9*53=477
Current State: 39:[73, 6, 477], Operations: ['9*53=477']
Exploring Operation: 73*6=438, Resulting Numbers: [477, 438]
Generated Node #3: [477, 438] from Operation: 73*6=438
Current State: 39:[477, 438], Operations: ['9*53=477', '73*6=438']
Exploring Operation: 477-438=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
93,
38,
58,
37
] | 19 | [
"93-58=35",
"37-35=2",
"38/2=19"
] | Current State: 19:[93, 38, 58, 37], Operations: []
Exploring Operation: 93-58=35, Resulting Numbers: [38, 37, 35]
Generated Node #2: [38, 37, 35] from Operation: 93-58=35
Current State: 19:[38, 37, 35], Operations: ['93-58=35']
Exploring Operation: 37-35=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 37-35=2
Current State: 19:[38, 2], Operations: ['93-58=35', '37-35=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
44,
37,
15,
86
] | 19 | [
"44-37=7",
"15*7=105",
"105-86=19"
] | Current State: 19:[44, 37, 15, 86], Operations: []
Exploring Operation: 44-37=7, Resulting Numbers: [15, 86, 7]
Generated Node #2: [15, 86, 7] from Operation: 44-37=7
Current State: 19:[15, 86, 7], Operations: ['44-37=7']
Exploring Operation: 15*7=105, Resulting Numbers: [86, 105]
Generated Node #3: [86, 105] from Operation: 15*7=105
Current State: 19:[86, 105], Operations: ['44-37=7', '15*7=105']
Exploring Operation: 105-86=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
86,
23,
16,
3
] | 76 | [
"86-23=63",
"16-3=13",
"63+13=76"
] | Current State: 76:[86, 23, 16, 3], Operations: []
Exploring Operation: 86-23=63, Resulting Numbers: [16, 3, 63]
Generated Node #2: [16, 3, 63] from Operation: 86-23=63
Current State: 76:[16, 3, 63], Operations: ['86-23=63']
Exploring Operation: 16-3=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 16-3=13
Current State: 76:[63, 13], Operations: ['86-23=63', '16-3=13']
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
2,
27,
62,
95
] | 87 | [
"2*27=54",
"95-62=33",
"54+33=87"
] | Current State: 87:[2, 27, 62, 95], Operations: []
Exploring Operation: 2*27=54, Resulting Numbers: [62, 95, 54]
Generated Node #2: [62, 95, 54] from Operation: 2*27=54
Current State: 87:[62, 95, 54], Operations: ['2*27=54']
Exploring Operation: 95-62=33, Resulting Numbers: [54, 33]
Generated Node #3: [54, 33] from Operation: 95-62=33
Current State: 87:[54, 33], Operations: ['2*27=54', '95-62=33']
Exploring Operation: 54+33=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
67,
4,
36,
77
] | 97 | [
"77-36=41",
"4*41=164",
"164-67=97"
] | Current State: 97:[67, 4, 36, 77], Operations: []
Exploring Operation: 77-36=41, Resulting Numbers: [67, 4, 41]
Generated Node #2: [67, 4, 41] from Operation: 77-36=41
Current State: 97:[67, 4, 41], Operations: ['77-36=41']
Exploring Operation: 4*41=164, Resulting Numbers: [67, 164]
Generated Node #3: [67, 164] from Operation: 4*41=164
Current State: 97:[67, 164], Operations: ['77-36=41', '4*41=164']
Exploring Operation: 164-67=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
23,
22,
18,
24
] | 39 | [
"23+22=45",
"24-18=6",
"45-6=39"
] | Current State: 39:[23, 22, 18, 24], Operations: []
Exploring Operation: 23+22=45, Resulting Numbers: [18, 24, 45]
Generated Node #2: [18, 24, 45] from Operation: 23+22=45
Current State: 39:[18, 24, 45], Operations: ['23+22=45']
Exploring Operation: 24-18=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 24-18=6
Current State: 39:[45, 6], Operations: ['23+22=45', '24-18=6']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
6,
74,
33,
37
] | 24 | [
"74+33=107",
"37+107=144",
"144/6=24"
] | Current State: 24:[6, 74, 33, 37], Operations: []
Exploring Operation: 74+33=107, Resulting Numbers: [6, 37, 107]
Generated Node #2: [6, 37, 107] from Operation: 74+33=107
Current State: 24:[6, 37, 107], Operations: ['74+33=107']
Exploring Operation: 37+107=144, Resulting Numbers: [6, 144]
Generated Node #3: [6, 144] from Operation: 37+107=144
Current State: 24:[6, 144], Operations: ['74+33=107', '37+107=144']
Exploring Operation: 144/6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
1,
91,
89,
83
] | 82 | [
"91-1=90",
"89+83=172",
"172-90=82"
] | Current State: 82:[1, 91, 89, 83], Operations: []
Exploring Operation: 91-1=90, Resulting Numbers: [89, 83, 90]
Generated Node #2: [89, 83, 90] from Operation: 91-1=90
Current State: 82:[89, 83, 90], Operations: ['91-1=90']
Exploring Operation: 89+83=172, Resulting Numbers: [90, 172]
Generated Node #3: [90, 172] from Operation: 89+83=172
Current State: 82:[90, 172], Operations: ['91-1=90', '89+83=172']
Exploring Operation: 172-90=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
67,
70,
69,
20
] | 45 | [
"69-67=2",
"70+20=90",
"90/2=45"
] | Current State: 45:[67, 70, 69, 20], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [70, 20, 2]
Generated Node #2: [70, 20, 2] from Operation: 69-67=2
Current State: 45:[70, 20, 2], Operations: ['69-67=2']
Exploring Operation: 70+20=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 70+20=90
Current State: 45:[2, 90], Operations: ['69-67=2', '70+20=90']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
85,
2,
47,
27
] | 69 | [
"85-27=58",
"2*58=116",
"116-47=69"
] | Current State: 69:[85, 2, 47, 27], Operations: []
Exploring Operation: 85-27=58, Resulting Numbers: [2, 47, 58]
Generated Node #2: [2, 47, 58] from Operation: 85-27=58
Current State: 69:[2, 47, 58], Operations: ['85-27=58']
Exploring Operation: 2*58=116, Resulting Numbers: [47, 116]
Generated Node #3: [47, 116] from Operation: 2*58=116
Current State: 69:[47, 116], Operations: ['85-27=58', '2*58=116']
Exploring Operation: 116-47=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
91,
15,
76,
39
] | 40 | [
"91-15=76",
"76/76=1",
"39+1=40"
] | Current State: 40:[91, 15, 76, 39], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [76, 39, 76]
Generated Node #2: [76, 39, 76] from Operation: 91-15=76
Current State: 40:[76, 39, 76], Operations: ['91-15=76']
Exploring Operation: 76/76=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 76/76=1
Current State: 40:[39, 1], Operations: ['91-15=76', '76/76=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
77,
2,
74,
93
] | 88 | [
"77+2=79",
"74+93=167",
"167-79=88"
] | Current State: 88:[77, 2, 74, 93], Operations: []
Exploring Operation: 77+2=79, Resulting Numbers: [74, 93, 79]
Generated Node #2: [74, 93, 79] from Operation: 77+2=79
Current State: 88:[74, 93, 79], Operations: ['77+2=79']
Exploring Operation: 74+93=167, Resulting Numbers: [79, 167]
Generated Node #3: [79, 167] from Operation: 74+93=167
Current State: 88:[79, 167], Operations: ['77+2=79', '74+93=167']
Exploring Operation: 167-79=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
70,
26,
53,
57
] | 55 | [
"70-57=13",
"26/13=2",
"53+2=55"
] | Current State: 55:[70, 26, 53, 57], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [26, 53, 13]
Generated Node #2: [26, 53, 13] from Operation: 70-57=13
Current State: 55:[26, 53, 13], Operations: ['70-57=13']
Exploring Operation: 26/13=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 26/13=2
Current State: 55:[53, 2], Operations: ['70-57=13', '26/13=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
75,
77,
86,
97
] | 54 | [
"77-75=2",
"86/2=43",
"97-43=54"
] | Current State: 54:[75, 77, 86, 97], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [86, 97, 2]
Generated Node #2: [86, 97, 2] from Operation: 77-75=2
Current State: 54:[86, 97, 2], Operations: ['77-75=2']
Exploring Operation: 86/2=43, Resulting Numbers: [97, 43]
Generated Node #3: [97, 43] from Operation: 86/2=43
Current State: 54:[97, 43], Operations: ['77-75=2', '86/2=43']
Exploring Operation: 97-43=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
83,
78,
58,
37
] | 90 | [
"83-78=5",
"58+37=95",
"95-5=90"
] | Current State: 90:[83, 78, 58, 37], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [58, 37, 5]
Generated Node #2: [58, 37, 5] from Operation: 83-78=5
Current State: 90:[58, 37, 5], Operations: ['83-78=5']
Exploring Operation: 58+37=95, Resulting Numbers: [5, 95]
Generated Node #3: [5, 95] from Operation: 58+37=95
Current State: 90:[5, 95], Operations: ['83-78=5', '58+37=95']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
15,
4,
3,
68
] | 46 | [
"15+4=19",
"68-3=65",
"65-19=46"
] | Current State: 46:[15, 4, 3, 68], Operations: []
Exploring Operation: 15+4=19, Resulting Numbers: [3, 68, 19]
Generated Node #2: [3, 68, 19] from Operation: 15+4=19
Current State: 46:[3, 68, 19], Operations: ['15+4=19']
Exploring Operation: 68-3=65, Resulting Numbers: [19, 65]
Generated Node #3: [19, 65] from Operation: 68-3=65
Current State: 46:[19, 65], Operations: ['15+4=19', '68-3=65']
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
20,
10,
44,
54
] | 100 | [
"20-10=10",
"54-44=10",
"10*10=100"
] | Current State: 100:[20, 10, 44, 54], Operations: []
Exploring Operation: 20-10=10, Resulting Numbers: [44, 54, 10]
Generated Node #2: [44, 54, 10] from Operation: 20-10=10
Current State: 100:[44, 54, 10], Operations: ['20-10=10']
Exploring Operation: 54-44=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 54-44=10
Current State: 100:[10, 10], Operations: ['20-10=10', '54-44=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
90,
40,
3,
54
] | 16 | [
"90/3=30",
"54-40=14",
"30-14=16"
] | Current State: 16:[90, 40, 3, 54], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [40, 54, 30]
Generated Node #2: [40, 54, 30] from Operation: 90/3=30
Current State: 16:[40, 54, 30], Operations: ['90/3=30']
Exploring Operation: 54-40=14, Resulting Numbers: [30, 14]
Generated Node #3: [30, 14] from Operation: 54-40=14
Current State: 16:[30, 14], Operations: ['90/3=30', '54-40=14']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
66,
21,
15,
65
] | 76 | [
"21-15=6",
"66/6=11",
"65+11=76"
] | Current State: 76:[66, 21, 15, 65], Operations: []
Exploring Operation: 21-15=6, Resulting Numbers: [66, 65, 6]
Generated Node #2: [66, 65, 6] from Operation: 21-15=6
Current State: 76:[66, 65, 6], Operations: ['21-15=6']
Exploring Operation: 66/6=11, Resulting Numbers: [65, 11]
Generated Node #3: [65, 11] from Operation: 66/6=11
Current State: 76:[65, 11], Operations: ['21-15=6', '66/6=11']
Exploring Operation: 65+11=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
96,
64,
45,
72
] | 56 | [
"64*45=2880",
"2880/72=40",
"96-40=56"
] | Current State: 56:[96, 64, 45, 72], Operations: []
Exploring Operation: 64*45=2880, Resulting Numbers: [96, 72, 2880]
Generated Node #2: [96, 72, 2880] from Operation: 64*45=2880
Current State: 56:[96, 72, 2880], Operations: ['64*45=2880']
Exploring Operation: 2880/72=40, Resulting Numbers: [96, 40]
Generated Node #3: [96, 40] from Operation: 2880/72=40
Current State: 56:[96, 40], Operations: ['64*45=2880', '2880/72=40']
Exploring Operation: 96-40=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
50,
40,
26,
64
] | 25 | [
"40+26=66",
"66-64=2",
"50/2=25"
] | Current State: 25:[50, 40, 26, 64], Operations: []
Exploring Operation: 40+26=66, Resulting Numbers: [50, 64, 66]
Generated Node #2: [50, 64, 66] from Operation: 40+26=66
Current State: 25:[50, 64, 66], Operations: ['40+26=66']
Exploring Operation: 66-64=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 66-64=2
Current State: 25:[50, 2], Operations: ['40+26=66', '66-64=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
91,
96,
9,
70
] | 25 | [
"96-91=5",
"9*5=45",
"70-45=25"
] | Current State: 25:[91, 96, 9, 70], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [9, 70, 5]
Generated Node #2: [9, 70, 5] from Operation: 96-91=5
Current State: 25:[9, 70, 5], Operations: ['96-91=5']
Exploring Operation: 9*5=45, Resulting Numbers: [70, 45]
Generated Node #3: [70, 45] from Operation: 9*5=45
Current State: 25:[70, 45], Operations: ['96-91=5', '9*5=45']
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
20,
56,
30,
50
] | 65 | [
"56-30=26",
"50*26=1300",
"1300/20=65"
] | Current State: 65:[20, 56, 30, 50], Operations: []
Exploring Operation: 56-30=26, Resulting Numbers: [20, 50, 26]
Generated Node #2: [20, 50, 26] from Operation: 56-30=26
Current State: 65:[20, 50, 26], Operations: ['56-30=26']
Exploring Operation: 50*26=1300, Resulting Numbers: [20, 1300]
Generated Node #3: [20, 1300] from Operation: 50*26=1300
Current State: 65:[20, 1300], Operations: ['56-30=26', '50*26=1300']
Exploring Operation: 1300/20=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
43,
25,
33,
91
] | 86 | [
"91-25=66",
"43*66=2838",
"2838/33=86"
] | Current State: 86:[43, 25, 33, 91], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [43, 33, 66]
Generated Node #2: [43, 33, 66] from Operation: 91-25=66
Current State: 86:[43, 33, 66], Operations: ['91-25=66']
Exploring Operation: 43*66=2838, Resulting Numbers: [33, 2838]
Generated Node #3: [33, 2838] from Operation: 43*66=2838
Current State: 86:[33, 2838], Operations: ['91-25=66', '43*66=2838']
Exploring Operation: 2838/33=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
6,
1,
89,
81
] | 54 | [
"1+89=90",
"90-81=9",
"6*9=54"
] | Current State: 54:[6, 1, 89, 81], Operations: []
Exploring Operation: 1+89=90, Resulting Numbers: [6, 81, 90]
Generated Node #2: [6, 81, 90] from Operation: 1+89=90
Current State: 54:[6, 81, 90], Operations: ['1+89=90']
Exploring Operation: 90-81=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 90-81=9
Current State: 54:[6, 9], Operations: ['1+89=90', '90-81=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
84,
26,
3,
25
] | 11 | [
"84-26=58",
"58-25=33",
"33/3=11"
] | Current State: 11:[84, 26, 3, 25], Operations: []
Exploring Operation: 84-26=58, Resulting Numbers: [3, 25, 58]
Generated Node #2: [3, 25, 58] from Operation: 84-26=58
Current State: 11:[3, 25, 58], Operations: ['84-26=58']
Exploring Operation: 58-25=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 58-25=33
Current State: 11:[3, 33], Operations: ['84-26=58', '58-25=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
21,
96,
44,
7
] | 65 | [
"44-21=23",
"7*23=161",
"161-96=65"
] | Current State: 65:[21, 96, 44, 7], Operations: []
Exploring Operation: 44-21=23, Resulting Numbers: [96, 7, 23]
Generated Node #2: [96, 7, 23] from Operation: 44-21=23
Current State: 65:[96, 7, 23], Operations: ['44-21=23']
Exploring Operation: 7*23=161, Resulting Numbers: [96, 161]
Generated Node #3: [96, 161] from Operation: 7*23=161
Current State: 65:[96, 161], Operations: ['44-21=23', '7*23=161']
Exploring Operation: 161-96=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
4,
62,
38,
84
] | 64 | [
"62-4=58",
"38+84=122",
"122-58=64"
] | Current State: 64:[4, 62, 38, 84], Operations: []
Exploring Operation: 62-4=58, Resulting Numbers: [38, 84, 58]
Generated Node #2: [38, 84, 58] from Operation: 62-4=58
Current State: 64:[38, 84, 58], Operations: ['62-4=58']
Exploring Operation: 38+84=122, Resulting Numbers: [58, 122]
Generated Node #3: [58, 122] from Operation: 38+84=122
Current State: 64:[58, 122], Operations: ['62-4=58', '38+84=122']
Exploring Operation: 122-58=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
2,
55,
75,
4
] | 78 | [
"75-55=20",
"4*20=80",
"80-2=78"
] | Current State: 78:[2, 55, 75, 4], Operations: []
Exploring Operation: 75-55=20, Resulting Numbers: [2, 4, 20]
Generated Node #2: [2, 4, 20] from Operation: 75-55=20
Current State: 78:[2, 4, 20], Operations: ['75-55=20']
Exploring Operation: 4*20=80, Resulting Numbers: [2, 80]
Generated Node #3: [2, 80] from Operation: 4*20=80
Current State: 78:[2, 80], Operations: ['75-55=20', '4*20=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
11,
2,
68,
12
] | 89 | [
"11-2=9",
"68+12=80",
"9+80=89"
] | Current State: 89:[11, 2, 68, 12], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [68, 12, 9]
Generated Node #2: [68, 12, 9] from Operation: 11-2=9
Current State: 89:[68, 12, 9], Operations: ['11-2=9']
Exploring Operation: 68+12=80, Resulting Numbers: [9, 80]
Generated Node #3: [9, 80] from Operation: 68+12=80
Current State: 89:[9, 80], Operations: ['11-2=9', '68+12=80']
Exploring Operation: 9+80=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
28,
88,
8,
22
] | 32 | [
"28+8=36",
"88/22=4",
"36-4=32"
] | Current State: 32:[28, 88, 8, 22], Operations: []
Exploring Operation: 28+8=36, Resulting Numbers: [88, 22, 36]
Generated Node #2: [88, 22, 36] from Operation: 28+8=36
Current State: 32:[88, 22, 36], Operations: ['28+8=36']
Exploring Operation: 88/22=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 88/22=4
Current State: 32:[36, 4], Operations: ['28+8=36', '88/22=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
13,
64,
29,
78
] | 87 | [
"78/13=6",
"64+29=93",
"93-6=87"
] | Current State: 87:[13, 64, 29, 78], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [64, 29, 6]
Generated Node #2: [64, 29, 6] from Operation: 78/13=6
Current State: 87:[64, 29, 6], Operations: ['78/13=6']
Exploring Operation: 64+29=93, Resulting Numbers: [6, 93]
Generated Node #3: [6, 93] from Operation: 64+29=93
Current State: 87:[6, 93], Operations: ['78/13=6', '64+29=93']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
10,
37,
17,
43
] | 90 | [
"10*17=170",
"37+43=80",
"170-80=90"
] | Current State: 90:[10, 37, 17, 43], Operations: []
Exploring Operation: 10*17=170, Resulting Numbers: [37, 43, 170]
Generated Node #2: [37, 43, 170] from Operation: 10*17=170
Current State: 90:[37, 43, 170], Operations: ['10*17=170']
Exploring Operation: 37+43=80, Resulting Numbers: [170, 80]
Generated Node #3: [170, 80] from Operation: 37+43=80
Current State: 90:[170, 80], Operations: ['10*17=170', '37+43=80']
Exploring Operation: 170-80=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
16,
60,
27,
64
] | 83 | [
"64/16=4",
"60+27=87",
"87-4=83"
] | Current State: 83:[16, 60, 27, 64], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [60, 27, 4]
Generated Node #2: [60, 27, 4] from Operation: 64/16=4
Current State: 83:[60, 27, 4], Operations: ['64/16=4']
Exploring Operation: 60+27=87, Resulting Numbers: [4, 87]
Generated Node #3: [4, 87] from Operation: 60+27=87
Current State: 83:[4, 87], Operations: ['64/16=4', '60+27=87']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
62,
4,
15,
45
] | 53 | [
"62-45=17",
"4*17=68",
"68-15=53"
] | Current State: 53:[62, 4, 15, 45], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [4, 15, 17]
Generated Node #2: [4, 15, 17] from Operation: 62-45=17
Current State: 53:[4, 15, 17], Operations: ['62-45=17']
Exploring Operation: 4*17=68, Resulting Numbers: [15, 68]
Generated Node #3: [15, 68] from Operation: 4*17=68
Current State: 53:[15, 68], Operations: ['62-45=17', '4*17=68']
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
48,
99,
72,
8
] | 74 | [
"48*99=4752",
"4752/72=66",
"8+66=74"
] | Current State: 74:[48, 99, 72, 8], Operations: []
Exploring Operation: 48*99=4752, Resulting Numbers: [72, 8, 4752]
Generated Node #2: [72, 8, 4752] from Operation: 48*99=4752
Current State: 74:[72, 8, 4752], Operations: ['48*99=4752']
Exploring Operation: 4752/72=66, Resulting Numbers: [8, 66]
Generated Node #3: [8, 66] from Operation: 4752/72=66
Current State: 74:[8, 66], Operations: ['48*99=4752', '4752/72=66']
Exploring Operation: 8+66=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
38,
4,
35,
90
] | 83 | [
"38+4=42",
"35+90=125",
"125-42=83"
] | Current State: 83:[38, 4, 35, 90], Operations: []
Exploring Operation: 38+4=42, Resulting Numbers: [35, 90, 42]
Generated Node #2: [35, 90, 42] from Operation: 38+4=42
Current State: 83:[35, 90, 42], Operations: ['38+4=42']
Exploring Operation: 35+90=125, Resulting Numbers: [42, 125]
Generated Node #3: [42, 125] from Operation: 35+90=125
Current State: 83:[42, 125], Operations: ['38+4=42', '35+90=125']
Exploring Operation: 125-42=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
18,
50,
68,
5
] | 72 | [
"18*5=90",
"68-50=18",
"90-18=72"
] | Current State: 72:[18, 50, 68, 5], Operations: []
Exploring Operation: 18*5=90, Resulting Numbers: [50, 68, 90]
Generated Node #2: [50, 68, 90] from Operation: 18*5=90
Current State: 72:[50, 68, 90], Operations: ['18*5=90']
Exploring Operation: 68-50=18, Resulting Numbers: [90, 18]
Generated Node #3: [90, 18] from Operation: 68-50=18
Current State: 72:[90, 18], Operations: ['18*5=90', '68-50=18']
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
27,
35,
6,
3
] | 65 | [
"27+35=62",
"6-3=3",
"62+3=65"
] | Current State: 65:[27, 35, 6, 3], Operations: []
Exploring Operation: 27+35=62, Resulting Numbers: [6, 3, 62]
Generated Node #2: [6, 3, 62] from Operation: 27+35=62
Current State: 65:[6, 3, 62], Operations: ['27+35=62']
Exploring Operation: 6-3=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 6-3=3
Current State: 65:[62, 3], Operations: ['27+35=62', '6-3=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
13,
73,
9,
42
] | 53 | [
"13+73=86",
"42-9=33",
"86-33=53"
] | Current State: 53:[13, 73, 9, 42], Operations: []
Exploring Operation: 13+73=86, Resulting Numbers: [9, 42, 86]
Generated Node #2: [9, 42, 86] from Operation: 13+73=86
Current State: 53:[9, 42, 86], Operations: ['13+73=86']
Exploring Operation: 42-9=33, Resulting Numbers: [86, 33]
Generated Node #3: [86, 33] from Operation: 42-9=33
Current State: 53:[86, 33], Operations: ['13+73=86', '42-9=33']
Exploring Operation: 86-33=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
91,
19,
5,
1
] | 66 | [
"91-19=72",
"5+1=6",
"72-6=66"
] | Current State: 66:[91, 19, 5, 1], Operations: []
Exploring Operation: 91-19=72, Resulting Numbers: [5, 1, 72]
Generated Node #2: [5, 1, 72] from Operation: 91-19=72
Current State: 66:[5, 1, 72], Operations: ['91-19=72']
Exploring Operation: 5+1=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 5+1=6
Current State: 66:[72, 6], Operations: ['91-19=72', '5+1=6']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
20,
88,
19,
12
] | 16 | [
"88-12=76",
"76/19=4",
"20-4=16"
] | Current State: 16:[20, 88, 19, 12], Operations: []
Exploring Operation: 88-12=76, Resulting Numbers: [20, 19, 76]
Generated Node #2: [20, 19, 76] from Operation: 88-12=76
Current State: 16:[20, 19, 76], Operations: ['88-12=76']
Exploring Operation: 76/19=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 76/19=4
Current State: 16:[20, 4], Operations: ['88-12=76', '76/19=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
25,
57,
53,
23
] | 52 | [
"25+57=82",
"53-23=30",
"82-30=52"
] | Current State: 52:[25, 57, 53, 23], Operations: []
Exploring Operation: 25+57=82, Resulting Numbers: [53, 23, 82]
Generated Node #2: [53, 23, 82] from Operation: 25+57=82
Current State: 52:[53, 23, 82], Operations: ['25+57=82']
Exploring Operation: 53-23=30, Resulting Numbers: [82, 30]
Generated Node #3: [82, 30] from Operation: 53-23=30
Current State: 52:[82, 30], Operations: ['25+57=82', '53-23=30']
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
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