nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
24,
66,
18,
20
] | 18 | [
"66-18=48",
"48/24=2",
"20-2=18"
] | Current State: 18:[24, 66, 18, 20], Operations: []
Exploring Operation: 66-18=48, Resulting Numbers: [24, 20, 48]
Generated Node #2: [24, 20, 48] from Operation: 66-18=48
Current State: 18:[24, 20, 48], Operations: ['66-18=48']
Exploring Operation: 48/24=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 48/24=2
Current State: 18:[20, 2], Operations: ['66-18=48', '48/24=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
8,
41,
25,
12
] | 59 | [
"12-8=4",
"25*4=100",
"100-41=59"
] | Current State: 59:[8, 41, 25, 12], Operations: []
Exploring Operation: 12-8=4, Resulting Numbers: [41, 25, 4]
Generated Node #2: [41, 25, 4] from Operation: 12-8=4
Current State: 59:[41, 25, 4], Operations: ['12-8=4']
Exploring Operation: 25*4=100, Resulting Numbers: [41, 100]
Generated Node #3: [41, 100] from Operation: 25*4=100
Current State: 59:[41, 100], Operations: ['12-8=4', '25*4=100']
Exploring Operation: 100-41=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
32,
94,
93,
2
] | 34 | [
"32+2=34",
"94-93=1",
"34*1=34"
] | Current State: 34:[32, 94, 93, 2], Operations: []
Exploring Operation: 32+2=34, Resulting Numbers: [94, 93, 34]
Generated Node #2: [94, 93, 34] from Operation: 32+2=34
Current State: 34:[94, 93, 34], Operations: ['32+2=34']
Exploring Operation: 94-93=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 94-93=1
Current State: 34:[34, 1], Operations: ['32+2=34', '94-93=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
32,
30,
78,
38
] | 80 | [
"32-30=2",
"78-38=40",
"2*40=80"
] | Current State: 80:[32, 30, 78, 38], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [78, 38, 2]
Generated Node #2: [78, 38, 2] from Operation: 32-30=2
Current State: 80:[78, 38, 2], Operations: ['32-30=2']
Exploring Operation: 78-38=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 78-38=40
Current State: 80:[2, 40], Operations: ['32-30=2', '78-38=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
32,
33,
30,
24
] | 71 | [
"32+33=65",
"30-24=6",
"65+6=71"
] | Current State: 71:[32, 33, 30, 24], Operations: []
Exploring Operation: 32+33=65, Resulting Numbers: [30, 24, 65]
Generated Node #2: [30, 24, 65] from Operation: 32+33=65
Current State: 71:[30, 24, 65], Operations: ['32+33=65']
Exploring Operation: 30-24=6, Resulting Numbers: [65, 6]
Generated Node #3: [65, 6] from Operation: 30-24=6
Current State: 71:[65, 6], Operations: ['32+33=65', '30-24=6']
Exploring Operation: 65+6=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
85,
71,
46,
33
] | 27 | [
"85-71=14",
"46-33=13",
"14+13=27"
] | Current State: 27:[85, 71, 46, 33], Operations: []
Exploring Operation: 85-71=14, Resulting Numbers: [46, 33, 14]
Generated Node #2: [46, 33, 14] from Operation: 85-71=14
Current State: 27:[46, 33, 14], Operations: ['85-71=14']
Exploring Operation: 46-33=13, Resulting Numbers: [14, 13]
Generated Node #3: [14, 13] from Operation: 46-33=13
Current State: 27:[14, 13], Operations: ['85-71=14', '46-33=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
98,
30,
62,
22
] | 88 | [
"98+30=128",
"62-22=40",
"128-40=88"
] | Current State: 88:[98, 30, 62, 22], Operations: []
Exploring Operation: 98+30=128, Resulting Numbers: [62, 22, 128]
Generated Node #2: [62, 22, 128] from Operation: 98+30=128
Current State: 88:[62, 22, 128], Operations: ['98+30=128']
Exploring Operation: 62-22=40, Resulting Numbers: [128, 40]
Generated Node #3: [128, 40] from Operation: 62-22=40
Current State: 88:[128, 40], Operations: ['98+30=128', '62-22=40']
Exploring Operation: 128-40=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
64,
63,
7,
76
] | 84 | [
"64-63=1",
"7+76=83",
"1+83=84"
] | Current State: 84:[64, 63, 7, 76], Operations: []
Exploring Operation: 64-63=1, Resulting Numbers: [7, 76, 1]
Generated Node #2: [7, 76, 1] from Operation: 64-63=1
Current State: 84:[7, 76, 1], Operations: ['64-63=1']
Exploring Operation: 7+76=83, Resulting Numbers: [1, 83]
Generated Node #3: [1, 83] from Operation: 7+76=83
Current State: 84:[1, 83], Operations: ['64-63=1', '7+76=83']
Exploring Operation: 1+83=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
77,
22,
71,
20
] | 26 | [
"71+20=91",
"22*91=2002",
"2002/77=26"
] | Current State: 26:[77, 22, 71, 20], Operations: []
Exploring Operation: 71+20=91, Resulting Numbers: [77, 22, 91]
Generated Node #2: [77, 22, 91] from Operation: 71+20=91
Current State: 26:[77, 22, 91], Operations: ['71+20=91']
Exploring Operation: 22*91=2002, Resulting Numbers: [77, 2002]
Generated Node #3: [77, 2002] from Operation: 22*91=2002
Current State: 26:[77, 2002], Operations: ['71+20=91', '22*91=2002']
Exploring Operation: 2002/77=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
50,
40,
70,
5
] | 12 | [
"50-40=10",
"70-10=60",
"60/5=12"
] | Current State: 12:[50, 40, 70, 5], Operations: []
Exploring Operation: 50-40=10, Resulting Numbers: [70, 5, 10]
Generated Node #2: [70, 5, 10] from Operation: 50-40=10
Current State: 12:[70, 5, 10], Operations: ['50-40=10']
Exploring Operation: 70-10=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 70-10=60
Current State: 12:[5, 60], Operations: ['50-40=10', '70-10=60']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
65,
77,
28,
81
] | 97 | [
"77-65=12",
"28+81=109",
"109-12=97"
] | Current State: 97:[65, 77, 28, 81], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [28, 81, 12]
Generated Node #2: [28, 81, 12] from Operation: 77-65=12
Current State: 97:[28, 81, 12], Operations: ['77-65=12']
Exploring Operation: 28+81=109, Resulting Numbers: [12, 109]
Generated Node #3: [12, 109] from Operation: 28+81=109
Current State: 97:[12, 109], Operations: ['77-65=12', '28+81=109']
Exploring Operation: 109-12=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
4,
97,
87,
24
] | 70 | [
"97+87=184",
"184/4=46",
"24+46=70"
] | Current State: 70:[4, 97, 87, 24], Operations: []
Exploring Operation: 97+87=184, Resulting Numbers: [4, 24, 184]
Generated Node #2: [4, 24, 184] from Operation: 97+87=184
Current State: 70:[4, 24, 184], Operations: ['97+87=184']
Exploring Operation: 184/4=46, Resulting Numbers: [24, 46]
Generated Node #3: [24, 46] from Operation: 184/4=46
Current State: 70:[24, 46], Operations: ['97+87=184', '184/4=46']
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
70,
38,
1,
20
] | 53 | [
"70-38=32",
"1+20=21",
"32+21=53"
] | Current State: 53:[70, 38, 1, 20], Operations: []
Exploring Operation: 70-38=32, Resulting Numbers: [1, 20, 32]
Generated Node #2: [1, 20, 32] from Operation: 70-38=32
Current State: 53:[1, 20, 32], Operations: ['70-38=32']
Exploring Operation: 1+20=21, Resulting Numbers: [32, 21]
Generated Node #3: [32, 21] from Operation: 1+20=21
Current State: 53:[32, 21], Operations: ['70-38=32', '1+20=21']
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
4,
7,
66,
8
] | 76 | [
"66*8=528",
"4+528=532",
"532/7=76"
] | Current State: 76:[4, 7, 66, 8], Operations: []
Exploring Operation: 66*8=528, Resulting Numbers: [4, 7, 528]
Generated Node #2: [4, 7, 528] from Operation: 66*8=528
Current State: 76:[4, 7, 528], Operations: ['66*8=528']
Exploring Operation: 4+528=532, Resulting Numbers: [7, 532]
Generated Node #3: [7, 532] from Operation: 4+528=532
Current State: 76:[7, 532], Operations: ['66*8=528', '4+528=532']
Exploring Operation: 532/7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
94,
21,
75,
83
] | 85 | [
"94-21=73",
"75+83=158",
"158-73=85"
] | Current State: 85:[94, 21, 75, 83], Operations: []
Exploring Operation: 94-21=73, Resulting Numbers: [75, 83, 73]
Generated Node #2: [75, 83, 73] from Operation: 94-21=73
Current State: 85:[75, 83, 73], Operations: ['94-21=73']
Exploring Operation: 75+83=158, Resulting Numbers: [73, 158]
Generated Node #3: [73, 158] from Operation: 75+83=158
Current State: 85:[73, 158], Operations: ['94-21=73', '75+83=158']
Exploring Operation: 158-73=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
62,
79,
35,
22
] | 31 | [
"62*22=1364",
"79-35=44",
"1364/44=31"
] | Current State: 31:[62, 79, 35, 22], Operations: []
Exploring Operation: 62*22=1364, Resulting Numbers: [79, 35, 1364]
Generated Node #2: [79, 35, 1364] from Operation: 62*22=1364
Current State: 31:[79, 35, 1364], Operations: ['62*22=1364']
Exploring Operation: 79-35=44, Resulting Numbers: [1364, 44]
Generated Node #3: [1364, 44] from Operation: 79-35=44
Current State: 31:[1364, 44], Operations: ['62*22=1364', '79-35=44']
Exploring Operation: 1364/44=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
38,
30,
49,
22
] | 62 | [
"38*30=1140",
"49*22=1078",
"1140-1078=62"
] | Current State: 62:[38, 30, 49, 22], Operations: []
Exploring Operation: 38*30=1140, Resulting Numbers: [49, 22, 1140]
Generated Node #2: [49, 22, 1140] from Operation: 38*30=1140
Current State: 62:[49, 22, 1140], Operations: ['38*30=1140']
Exploring Operation: 49*22=1078, Resulting Numbers: [1140, 1078]
Generated Node #3: [1140, 1078] from Operation: 49*22=1078
Current State: 62:[1140, 1078], Operations: ['38*30=1140', '49*22=1078']
Exploring Operation: 1140-1078=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
42,
69,
98,
7
] | 64 | [
"69-42=27",
"98-7=91",
"91-27=64"
] | Current State: 64:[42, 69, 98, 7], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [98, 7, 27]
Generated Node #2: [98, 7, 27] from Operation: 69-42=27
Current State: 64:[98, 7, 27], Operations: ['69-42=27']
Exploring Operation: 98-7=91, Resulting Numbers: [27, 91]
Generated Node #3: [27, 91] from Operation: 98-7=91
Current State: 64:[27, 91], Operations: ['69-42=27', '98-7=91']
Exploring Operation: 91-27=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
59,
77,
56,
53
] | 75 | [
"59+53=112",
"112/56=2",
"77-2=75"
] | Current State: 75:[59, 77, 56, 53], Operations: []
Exploring Operation: 59+53=112, Resulting Numbers: [77, 56, 112]
Generated Node #2: [77, 56, 112] from Operation: 59+53=112
Current State: 75:[77, 56, 112], Operations: ['59+53=112']
Exploring Operation: 112/56=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 112/56=2
Current State: 75:[77, 2], Operations: ['59+53=112', '112/56=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
62,
73,
4,
5
] | 99 | [
"73-62=11",
"4+5=9",
"11*9=99"
] | Current State: 99:[62, 73, 4, 5], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [4, 5, 11]
Generated Node #2: [4, 5, 11] from Operation: 73-62=11
Current State: 99:[4, 5, 11], Operations: ['73-62=11']
Exploring Operation: 4+5=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 4+5=9
Current State: 99:[11, 9], Operations: ['73-62=11', '4+5=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
72,
19,
28,
43
] | 35 | [
"28-19=9",
"72/9=8",
"43-8=35"
] | Current State: 35:[72, 19, 28, 43], Operations: []
Exploring Operation: 28-19=9, Resulting Numbers: [72, 43, 9]
Generated Node #2: [72, 43, 9] from Operation: 28-19=9
Current State: 35:[72, 43, 9], Operations: ['28-19=9']
Exploring Operation: 72/9=8, Resulting Numbers: [43, 8]
Generated Node #3: [43, 8] from Operation: 72/9=8
Current State: 35:[43, 8], Operations: ['28-19=9', '72/9=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
42,
20,
46,
47
] | 31 | [
"42+20=62",
"46+47=93",
"93-62=31"
] | Current State: 31:[42, 20, 46, 47], Operations: []
Exploring Operation: 42+20=62, Resulting Numbers: [46, 47, 62]
Generated Node #2: [46, 47, 62] from Operation: 42+20=62
Current State: 31:[46, 47, 62], Operations: ['42+20=62']
Exploring Operation: 46+47=93, Resulting Numbers: [62, 93]
Generated Node #3: [62, 93] from Operation: 46+47=93
Current State: 31:[62, 93], Operations: ['42+20=62', '46+47=93']
Exploring Operation: 93-62=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
27,
66,
54,
40
] | 53 | [
"66-27=39",
"54-40=14",
"39+14=53"
] | Current State: 53:[27, 66, 54, 40], Operations: []
Exploring Operation: 66-27=39, Resulting Numbers: [54, 40, 39]
Generated Node #2: [54, 40, 39] from Operation: 66-27=39
Current State: 53:[54, 40, 39], Operations: ['66-27=39']
Exploring Operation: 54-40=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 54-40=14
Current State: 53:[39, 14], Operations: ['66-27=39', '54-40=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
79,
5,
69,
17
] | 95 | [
"79-69=10",
"5*17=85",
"10+85=95"
] | Current State: 95:[79, 5, 69, 17], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [5, 17, 10]
Generated Node #2: [5, 17, 10] from Operation: 79-69=10
Current State: 95:[5, 17, 10], Operations: ['79-69=10']
Exploring Operation: 5*17=85, Resulting Numbers: [10, 85]
Generated Node #3: [10, 85] from Operation: 5*17=85
Current State: 95:[10, 85], Operations: ['79-69=10', '5*17=85']
Exploring Operation: 10+85=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
9,
22,
54,
55
] | 31 | [
"9+22=31",
"55-54=1",
"31*1=31"
] | Current State: 31:[9, 22, 54, 55], Operations: []
Exploring Operation: 9+22=31, Resulting Numbers: [54, 55, 31]
Generated Node #2: [54, 55, 31] from Operation: 9+22=31
Current State: 31:[54, 55, 31], Operations: ['9+22=31']
Exploring Operation: 55-54=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 55-54=1
Current State: 31:[31, 1], Operations: ['9+22=31', '55-54=1']
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
58,
76,
37,
2
] | 59 | [
"58-37=21",
"76/2=38",
"21+38=59"
] | Current State: 59:[58, 76, 37, 2], Operations: []
Exploring Operation: 58-37=21, Resulting Numbers: [76, 2, 21]
Generated Node #2: [76, 2, 21] from Operation: 58-37=21
Current State: 59:[76, 2, 21], Operations: ['58-37=21']
Exploring Operation: 76/2=38, Resulting Numbers: [21, 38]
Generated Node #3: [21, 38] from Operation: 76/2=38
Current State: 59:[21, 38], Operations: ['58-37=21', '76/2=38']
Exploring Operation: 21+38=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
10,
2,
9,
18
] | 81 | [
"10/2=5",
"18*5=90",
"90-9=81"
] | Current State: 81:[10, 2, 9, 18], Operations: []
Exploring Operation: 10/2=5, Resulting Numbers: [9, 18, 5]
Generated Node #2: [9, 18, 5] from Operation: 10/2=5
Current State: 81:[9, 18, 5], Operations: ['10/2=5']
Exploring Operation: 18*5=90, Resulting Numbers: [9, 90]
Generated Node #3: [9, 90] from Operation: 18*5=90
Current State: 81:[9, 90], Operations: ['10/2=5', '18*5=90']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
68,
13,
22,
21
] | 24 | [
"13+21=34",
"68/34=2",
"22+2=24"
] | Current State: 24:[68, 13, 22, 21], Operations: []
Exploring Operation: 13+21=34, Resulting Numbers: [68, 22, 34]
Generated Node #2: [68, 22, 34] from Operation: 13+21=34
Current State: 24:[68, 22, 34], Operations: ['13+21=34']
Exploring Operation: 68/34=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 68/34=2
Current State: 24:[22, 2], Operations: ['13+21=34', '68/34=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
33,
96,
37,
65
] | 91 | [
"96-33=63",
"65-37=28",
"63+28=91"
] | Current State: 91:[33, 96, 37, 65], Operations: []
Exploring Operation: 96-33=63, Resulting Numbers: [37, 65, 63]
Generated Node #2: [37, 65, 63] from Operation: 96-33=63
Current State: 91:[37, 65, 63], Operations: ['96-33=63']
Exploring Operation: 65-37=28, Resulting Numbers: [63, 28]
Generated Node #3: [63, 28] from Operation: 65-37=28
Current State: 91:[63, 28], Operations: ['96-33=63', '65-37=28']
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
94,
2,
31,
38
] | 13 | [
"94-31=63",
"2*38=76",
"76-63=13"
] | Current State: 13:[94, 2, 31, 38], Operations: []
Exploring Operation: 94-31=63, Resulting Numbers: [2, 38, 63]
Generated Node #2: [2, 38, 63] from Operation: 94-31=63
Current State: 13:[2, 38, 63], Operations: ['94-31=63']
Exploring Operation: 2*38=76, Resulting Numbers: [63, 76]
Generated Node #3: [63, 76] from Operation: 2*38=76
Current State: 13:[63, 76], Operations: ['94-31=63', '2*38=76']
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
6,
95,
44,
32
] | 77 | [
"95-6=89",
"44-32=12",
"89-12=77"
] | Current State: 77:[6, 95, 44, 32], Operations: []
Exploring Operation: 95-6=89, Resulting Numbers: [44, 32, 89]
Generated Node #2: [44, 32, 89] from Operation: 95-6=89
Current State: 77:[44, 32, 89], Operations: ['95-6=89']
Exploring Operation: 44-32=12, Resulting Numbers: [89, 12]
Generated Node #3: [89, 12] from Operation: 44-32=12
Current State: 77:[89, 12], Operations: ['95-6=89', '44-32=12']
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
18,
21,
21,
43
] | 61 | [
"18+21=39",
"43-21=22",
"39+22=61"
] | Current State: 61:[18, 21, 21, 43], Operations: []
Exploring Operation: 18+21=39, Resulting Numbers: [43, 39]
Generated Node #2: [43, 39] from Operation: 18+21=39
Current State: 61:[43, 39], Operations: ['18+21=39']
Exploring Operation: 43-21=22, Resulting Numbers: [39, 22]
Generated Node #3: [39, 22] from Operation: 43-21=22
Current State: 61:[39, 22], Operations: ['18+21=39', '43-21=22']
Exploring Operation: 39+22=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
66,
24,
20,
96
] | 16 | [
"96-66=30",
"24*20=480",
"480/30=16"
] | Current State: 16:[66, 24, 20, 96], Operations: []
Exploring Operation: 96-66=30, Resulting Numbers: [24, 20, 30]
Generated Node #2: [24, 20, 30] from Operation: 96-66=30
Current State: 16:[24, 20, 30], Operations: ['96-66=30']
Exploring Operation: 24*20=480, Resulting Numbers: [30, 480]
Generated Node #3: [30, 480] from Operation: 24*20=480
Current State: 16:[30, 480], Operations: ['96-66=30', '24*20=480']
Exploring Operation: 480/30=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
83,
76,
15,
64
] | 56 | [
"83-76=7",
"64-15=49",
"7+49=56"
] | Current State: 56:[83, 76, 15, 64], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [15, 64, 7]
Generated Node #2: [15, 64, 7] from Operation: 83-76=7
Current State: 56:[15, 64, 7], Operations: ['83-76=7']
Exploring Operation: 64-15=49, Resulting Numbers: [7, 49]
Generated Node #3: [7, 49] from Operation: 64-15=49
Current State: 56:[7, 49], Operations: ['83-76=7', '64-15=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
2,
51,
4,
62
] | 46 | [
"62-51=11",
"4*11=44",
"2+44=46"
] | Current State: 46:[2, 51, 4, 62], Operations: []
Exploring Operation: 62-51=11, Resulting Numbers: [2, 4, 11]
Generated Node #2: [2, 4, 11] from Operation: 62-51=11
Current State: 46:[2, 4, 11], Operations: ['62-51=11']
Exploring Operation: 4*11=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 4*11=44
Current State: 46:[2, 44], Operations: ['62-51=11', '4*11=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
62,
91,
90,
78
] | 24 | [
"90-62=28",
"78*28=2184",
"2184/91=24"
] | Current State: 24:[62, 91, 90, 78], Operations: []
Exploring Operation: 90-62=28, Resulting Numbers: [91, 78, 28]
Generated Node #2: [91, 78, 28] from Operation: 90-62=28
Current State: 24:[91, 78, 28], Operations: ['90-62=28']
Exploring Operation: 78*28=2184, Resulting Numbers: [91, 2184]
Generated Node #3: [91, 2184] from Operation: 78*28=2184
Current State: 24:[91, 2184], Operations: ['90-62=28', '78*28=2184']
Exploring Operation: 2184/91=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
90,
67,
26,
96
] | 99 | [
"90-67=23",
"26+96=122",
"122-23=99"
] | Current State: 99:[90, 67, 26, 96], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [26, 96, 23]
Generated Node #2: [26, 96, 23] from Operation: 90-67=23
Current State: 99:[26, 96, 23], Operations: ['90-67=23']
Exploring Operation: 26+96=122, Resulting Numbers: [23, 122]
Generated Node #3: [23, 122] from Operation: 26+96=122
Current State: 99:[23, 122], Operations: ['90-67=23', '26+96=122']
Exploring Operation: 122-23=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
2,
87,
50,
88
] | 81 | [
"88/2=44",
"87-50=37",
"44+37=81"
] | Current State: 81:[2, 87, 50, 88], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [87, 50, 44]
Generated Node #2: [87, 50, 44] from Operation: 88/2=44
Current State: 81:[87, 50, 44], Operations: ['88/2=44']
Exploring Operation: 87-50=37, Resulting Numbers: [44, 37]
Generated Node #3: [44, 37] from Operation: 87-50=37
Current State: 81:[44, 37], Operations: ['88/2=44', '87-50=37']
Exploring Operation: 44+37=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
19,
6,
44,
17
] | 100 | [
"19-17=2",
"6+44=50",
"2*50=100"
] | Current State: 100:[19, 6, 44, 17], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [6, 44, 2]
Generated Node #2: [6, 44, 2] from Operation: 19-17=2
Current State: 100:[6, 44, 2], Operations: ['19-17=2']
Exploring Operation: 6+44=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 6+44=50
Current State: 100:[2, 50], Operations: ['19-17=2', '6+44=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
8,
53,
36,
47
] | 72 | [
"8+53=61",
"47-36=11",
"61+11=72"
] | Current State: 72:[8, 53, 36, 47], Operations: []
Exploring Operation: 8+53=61, Resulting Numbers: [36, 47, 61]
Generated Node #2: [36, 47, 61] from Operation: 8+53=61
Current State: 72:[36, 47, 61], Operations: ['8+53=61']
Exploring Operation: 47-36=11, Resulting Numbers: [61, 11]
Generated Node #3: [61, 11] from Operation: 47-36=11
Current State: 72:[61, 11], Operations: ['8+53=61', '47-36=11']
Exploring Operation: 61+11=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
58,
12,
30,
27
] | 87 | [
"58*27=1566",
"30-12=18",
"1566/18=87"
] | Current State: 87:[58, 12, 30, 27], Operations: []
Exploring Operation: 58*27=1566, Resulting Numbers: [12, 30, 1566]
Generated Node #2: [12, 30, 1566] from Operation: 58*27=1566
Current State: 87:[12, 30, 1566], Operations: ['58*27=1566']
Exploring Operation: 30-12=18, Resulting Numbers: [1566, 18]
Generated Node #3: [1566, 18] from Operation: 30-12=18
Current State: 87:[1566, 18], Operations: ['58*27=1566', '30-12=18']
Exploring Operation: 1566/18=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
70,
17,
15,
14
] | 25 | [
"17-14=3",
"15*3=45",
"70-45=25"
] | Current State: 25:[70, 17, 15, 14], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [70, 15, 3]
Generated Node #2: [70, 15, 3] from Operation: 17-14=3
Current State: 25:[70, 15, 3], Operations: ['17-14=3']
Exploring Operation: 15*3=45, Resulting Numbers: [70, 45]
Generated Node #3: [70, 45] from Operation: 15*3=45
Current State: 25:[70, 45], Operations: ['17-14=3', '15*3=45']
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
72,
71,
16,
90
] | 44 | [
"71-16=55",
"72*55=3960",
"3960/90=44"
] | Current State: 44:[72, 71, 16, 90], Operations: []
Exploring Operation: 71-16=55, Resulting Numbers: [72, 90, 55]
Generated Node #2: [72, 90, 55] from Operation: 71-16=55
Current State: 44:[72, 90, 55], Operations: ['71-16=55']
Exploring Operation: 72*55=3960, Resulting Numbers: [90, 3960]
Generated Node #3: [90, 3960] from Operation: 72*55=3960
Current State: 44:[90, 3960], Operations: ['71-16=55', '72*55=3960']
Exploring Operation: 3960/90=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
48,
46,
62,
26
] | 18 | [
"48-46=2",
"62-26=36",
"36/2=18"
] | Current State: 18:[48, 46, 62, 26], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [62, 26, 2]
Generated Node #2: [62, 26, 2] from Operation: 48-46=2
Current State: 18:[62, 26, 2], Operations: ['48-46=2']
Exploring Operation: 62-26=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 62-26=36
Current State: 18:[2, 36], Operations: ['48-46=2', '62-26=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
12,
31,
28,
58
] | 94 | [
"31-28=3",
"12*3=36",
"58+36=94"
] | Current State: 94:[12, 31, 28, 58], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [12, 58, 3]
Generated Node #2: [12, 58, 3] from Operation: 31-28=3
Current State: 94:[12, 58, 3], Operations: ['31-28=3']
Exploring Operation: 12*3=36, Resulting Numbers: [58, 36]
Generated Node #3: [58, 36] from Operation: 12*3=36
Current State: 94:[58, 36], Operations: ['31-28=3', '12*3=36']
Exploring Operation: 58+36=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
74,
31,
76,
41
] | 74 | [
"74-31=43",
"76+41=117",
"117-43=74"
] | Current State: 74:[74, 31, 76, 41], Operations: []
Exploring Operation: 74-31=43, Resulting Numbers: [76, 41, 43]
Generated Node #2: [76, 41, 43] from Operation: 74-31=43
Current State: 74:[76, 41, 43], Operations: ['74-31=43']
Exploring Operation: 76+41=117, Resulting Numbers: [43, 117]
Generated Node #3: [43, 117] from Operation: 76+41=117
Current State: 74:[43, 117], Operations: ['74-31=43', '76+41=117']
Exploring Operation: 117-43=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
12,
93,
14,
30
] | 45 | [
"12*14=168",
"93+30=123",
"168-123=45"
] | Current State: 45:[12, 93, 14, 30], Operations: []
Exploring Operation: 12*14=168, Resulting Numbers: [93, 30, 168]
Generated Node #2: [93, 30, 168] from Operation: 12*14=168
Current State: 45:[93, 30, 168], Operations: ['12*14=168']
Exploring Operation: 93+30=123, Resulting Numbers: [168, 123]
Generated Node #3: [168, 123] from Operation: 93+30=123
Current State: 45:[168, 123], Operations: ['12*14=168', '93+30=123']
Exploring Operation: 168-123=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
84,
65,
32,
60
] | 48 | [
"84-32=52",
"60*52=3120",
"3120/65=48"
] | Current State: 48:[84, 65, 32, 60], Operations: []
Exploring Operation: 84-32=52, Resulting Numbers: [65, 60, 52]
Generated Node #2: [65, 60, 52] from Operation: 84-32=52
Current State: 48:[65, 60, 52], Operations: ['84-32=52']
Exploring Operation: 60*52=3120, Resulting Numbers: [65, 3120]
Generated Node #3: [65, 3120] from Operation: 60*52=3120
Current State: 48:[65, 3120], Operations: ['84-32=52', '60*52=3120']
Exploring Operation: 3120/65=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
5,
31,
71,
82
] | 90 | [
"71-31=40",
"40/5=8",
"82+8=90"
] | Current State: 90:[5, 31, 71, 82], Operations: []
Exploring Operation: 71-31=40, Resulting Numbers: [5, 82, 40]
Generated Node #2: [5, 82, 40] from Operation: 71-31=40
Current State: 90:[5, 82, 40], Operations: ['71-31=40']
Exploring Operation: 40/5=8, Resulting Numbers: [82, 8]
Generated Node #3: [82, 8] from Operation: 40/5=8
Current State: 90:[82, 8], Operations: ['71-31=40', '40/5=8']
Exploring Operation: 82+8=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
69,
3,
96,
60
] | 16 | [
"69-3=66",
"66-60=6",
"96/6=16"
] | Current State: 16:[69, 3, 96, 60], Operations: []
Exploring Operation: 69-3=66, Resulting Numbers: [96, 60, 66]
Generated Node #2: [96, 60, 66] from Operation: 69-3=66
Current State: 16:[96, 60, 66], Operations: ['69-3=66']
Exploring Operation: 66-60=6, Resulting Numbers: [96, 6]
Generated Node #3: [96, 6] from Operation: 66-60=6
Current State: 16:[96, 6], Operations: ['69-3=66', '66-60=6']
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
77,
13,
35,
29
] | 96 | [
"77+13=90",
"35-29=6",
"90+6=96"
] | Current State: 96:[77, 13, 35, 29], Operations: []
Exploring Operation: 77+13=90, Resulting Numbers: [35, 29, 90]
Generated Node #2: [35, 29, 90] from Operation: 77+13=90
Current State: 96:[35, 29, 90], Operations: ['77+13=90']
Exploring Operation: 35-29=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 35-29=6
Current State: 96:[90, 6], Operations: ['77+13=90', '35-29=6']
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
17,
60,
64,
36
] | 49 | [
"17+60=77",
"64-36=28",
"77-28=49"
] | Current State: 49:[17, 60, 64, 36], Operations: []
Exploring Operation: 17+60=77, Resulting Numbers: [64, 36, 77]
Generated Node #2: [64, 36, 77] from Operation: 17+60=77
Current State: 49:[64, 36, 77], Operations: ['17+60=77']
Exploring Operation: 64-36=28, Resulting Numbers: [77, 28]
Generated Node #3: [77, 28] from Operation: 64-36=28
Current State: 49:[77, 28], Operations: ['17+60=77', '64-36=28']
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
62,
4,
31,
56
] | 54 | [
"62/31=2",
"56-4=52",
"2+52=54"
] | Current State: 54:[62, 4, 31, 56], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [4, 56, 2]
Generated Node #2: [4, 56, 2] from Operation: 62/31=2
Current State: 54:[4, 56, 2], Operations: ['62/31=2']
Exploring Operation: 56-4=52, Resulting Numbers: [2, 52]
Generated Node #3: [2, 52] from Operation: 56-4=52
Current State: 54:[2, 52], Operations: ['62/31=2', '56-4=52']
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
30,
97,
8,
60
] | 81 | [
"60/30=2",
"8*2=16",
"97-16=81"
] | Current State: 81:[30, 97, 8, 60], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [97, 8, 2]
Generated Node #2: [97, 8, 2] from Operation: 60/30=2
Current State: 81:[97, 8, 2], Operations: ['60/30=2']
Exploring Operation: 8*2=16, Resulting Numbers: [97, 16]
Generated Node #3: [97, 16] from Operation: 8*2=16
Current State: 81:[97, 16], Operations: ['60/30=2', '8*2=16']
Exploring Operation: 97-16=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
44,
32,
5,
68
] | 51 | [
"44-32=12",
"68-5=63",
"63-12=51"
] | Current State: 51:[44, 32, 5, 68], Operations: []
Exploring Operation: 44-32=12, Resulting Numbers: [5, 68, 12]
Generated Node #2: [5, 68, 12] from Operation: 44-32=12
Current State: 51:[5, 68, 12], Operations: ['44-32=12']
Exploring Operation: 68-5=63, Resulting Numbers: [12, 63]
Generated Node #3: [12, 63] from Operation: 68-5=63
Current State: 51:[12, 63], Operations: ['44-32=12', '68-5=63']
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
61,
82,
77,
2
] | 26 | [
"61+77=138",
"82*2=164",
"164-138=26"
] | Current State: 26:[61, 82, 77, 2], Operations: []
Exploring Operation: 61+77=138, Resulting Numbers: [82, 2, 138]
Generated Node #2: [82, 2, 138] from Operation: 61+77=138
Current State: 26:[82, 2, 138], Operations: ['61+77=138']
Exploring Operation: 82*2=164, Resulting Numbers: [138, 164]
Generated Node #3: [138, 164] from Operation: 82*2=164
Current State: 26:[138, 164], Operations: ['61+77=138', '82*2=164']
Exploring Operation: 164-138=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
8,
36,
26,
72
] | 45 | [
"36*26=936",
"936/8=117",
"117-72=45"
] | Current State: 45:[8, 36, 26, 72], Operations: []
Exploring Operation: 36*26=936, Resulting Numbers: [8, 72, 936]
Generated Node #2: [8, 72, 936] from Operation: 36*26=936
Current State: 45:[8, 72, 936], Operations: ['36*26=936']
Exploring Operation: 936/8=117, Resulting Numbers: [72, 117]
Generated Node #3: [72, 117] from Operation: 936/8=117
Current State: 45:[72, 117], Operations: ['36*26=936', '936/8=117']
Exploring Operation: 117-72=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
76,
20,
28,
74
] | 68 | [
"76-74=2",
"20*2=40",
"28+40=68"
] | Current State: 68:[76, 20, 28, 74], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [20, 28, 2]
Generated Node #2: [20, 28, 2] from Operation: 76-74=2
Current State: 68:[20, 28, 2], Operations: ['76-74=2']
Exploring Operation: 20*2=40, Resulting Numbers: [28, 40]
Generated Node #3: [28, 40] from Operation: 20*2=40
Current State: 68:[28, 40], Operations: ['76-74=2', '20*2=40']
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
97,
58,
77,
73
] | 70 | [
"97+77=174",
"174/58=3",
"73-3=70"
] | Current State: 70:[97, 58, 77, 73], Operations: []
Exploring Operation: 97+77=174, Resulting Numbers: [58, 73, 174]
Generated Node #2: [58, 73, 174] from Operation: 97+77=174
Current State: 70:[58, 73, 174], Operations: ['97+77=174']
Exploring Operation: 174/58=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 174/58=3
Current State: 70:[73, 3], Operations: ['97+77=174', '174/58=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
95,
28,
73,
49
] | 91 | [
"95-28=67",
"73-49=24",
"67+24=91"
] | Current State: 91:[95, 28, 73, 49], Operations: []
Exploring Operation: 95-28=67, Resulting Numbers: [73, 49, 67]
Generated Node #2: [73, 49, 67] from Operation: 95-28=67
Current State: 91:[73, 49, 67], Operations: ['95-28=67']
Exploring Operation: 73-49=24, Resulting Numbers: [67, 24]
Generated Node #3: [67, 24] from Operation: 73-49=24
Current State: 91:[67, 24], Operations: ['95-28=67', '73-49=24']
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
94,
96,
6,
42
] | 62 | [
"94+96=190",
"6*42=252",
"252-190=62"
] | Current State: 62:[94, 96, 6, 42], Operations: []
Exploring Operation: 94+96=190, Resulting Numbers: [6, 42, 190]
Generated Node #2: [6, 42, 190] from Operation: 94+96=190
Current State: 62:[6, 42, 190], Operations: ['94+96=190']
Exploring Operation: 6*42=252, Resulting Numbers: [190, 252]
Generated Node #3: [190, 252] from Operation: 6*42=252
Current State: 62:[190, 252], Operations: ['94+96=190', '6*42=252']
Exploring Operation: 252-190=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
51,
28,
10,
19
] | 25 | [
"51+19=70",
"10*70=700",
"700/28=25"
] | Current State: 25:[51, 28, 10, 19], Operations: []
Exploring Operation: 51+19=70, Resulting Numbers: [28, 10, 70]
Generated Node #2: [28, 10, 70] from Operation: 51+19=70
Current State: 25:[28, 10, 70], Operations: ['51+19=70']
Exploring Operation: 10*70=700, Resulting Numbers: [28, 700]
Generated Node #3: [28, 700] from Operation: 10*70=700
Current State: 25:[28, 700], Operations: ['51+19=70', '10*70=700']
Exploring Operation: 700/28=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
7,
7,
45,
15
] | 53 | [
"7+45=52",
"7*15=105",
"105-52=53"
] | Current State: 53:[7, 7, 45, 15], Operations: []
Exploring Operation: 7+45=52, Resulting Numbers: [15, 52]
Generated Node #2: [15, 52] from Operation: 7+45=52
Current State: 53:[15, 52], Operations: ['7+45=52']
Exploring Operation: 7*15=105, Resulting Numbers: [52, 105]
Generated Node #3: [52, 105] from Operation: 7*15=105
Current State: 53:[52, 105], Operations: ['7+45=52', '7*15=105']
Exploring Operation: 105-52=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
4,
19,
82,
56
] | 50 | [
"4*19=76",
"82-56=26",
"76-26=50"
] | Current State: 50:[4, 19, 82, 56], Operations: []
Exploring Operation: 4*19=76, Resulting Numbers: [82, 56, 76]
Generated Node #2: [82, 56, 76] from Operation: 4*19=76
Current State: 50:[82, 56, 76], Operations: ['4*19=76']
Exploring Operation: 82-56=26, Resulting Numbers: [76, 26]
Generated Node #3: [76, 26] from Operation: 82-56=26
Current State: 50:[76, 26], Operations: ['4*19=76', '82-56=26']
Exploring Operation: 76-26=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
63,
33,
38,
42
] | 50 | [
"63-33=30",
"38+42=80",
"80-30=50"
] | Current State: 50:[63, 33, 38, 42], Operations: []
Exploring Operation: 63-33=30, Resulting Numbers: [38, 42, 30]
Generated Node #2: [38, 42, 30] from Operation: 63-33=30
Current State: 50:[38, 42, 30], Operations: ['63-33=30']
Exploring Operation: 38+42=80, Resulting Numbers: [30, 80]
Generated Node #3: [30, 80] from Operation: 38+42=80
Current State: 50:[30, 80], Operations: ['63-33=30', '38+42=80']
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
3,
45,
78,
54
] | 37 | [
"78-54=24",
"24/3=8",
"45-8=37"
] | Current State: 37:[3, 45, 78, 54], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [3, 45, 24]
Generated Node #2: [3, 45, 24] from Operation: 78-54=24
Current State: 37:[3, 45, 24], Operations: ['78-54=24']
Exploring Operation: 24/3=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 24/3=8
Current State: 37:[45, 8], Operations: ['78-54=24', '24/3=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
23,
91,
16,
10
] | 94 | [
"91-23=68",
"16+10=26",
"68+26=94"
] | Current State: 94:[23, 91, 16, 10], Operations: []
Exploring Operation: 91-23=68, Resulting Numbers: [16, 10, 68]
Generated Node #2: [16, 10, 68] from Operation: 91-23=68
Current State: 94:[16, 10, 68], Operations: ['91-23=68']
Exploring Operation: 16+10=26, Resulting Numbers: [68, 26]
Generated Node #3: [68, 26] from Operation: 16+10=26
Current State: 94:[68, 26], Operations: ['91-23=68', '16+10=26']
Exploring Operation: 68+26=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
59,
51,
73,
45
] | 49 | [
"73+45=118",
"118/59=2",
"51-2=49"
] | Current State: 49:[59, 51, 73, 45], Operations: []
Exploring Operation: 73+45=118, Resulting Numbers: [59, 51, 118]
Generated Node #2: [59, 51, 118] from Operation: 73+45=118
Current State: 49:[59, 51, 118], Operations: ['73+45=118']
Exploring Operation: 118/59=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 118/59=2
Current State: 49:[51, 2], Operations: ['73+45=118', '118/59=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
64,
31,
95,
74
] | 75 | [
"64+31=95",
"95/95=1",
"74+1=75"
] | Current State: 75:[64, 31, 95, 74], Operations: []
Exploring Operation: 64+31=95, Resulting Numbers: [95, 74, 95]
Generated Node #2: [95, 74, 95] from Operation: 64+31=95
Current State: 75:[95, 74, 95], Operations: ['64+31=95']
Exploring Operation: 95/95=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 95/95=1
Current State: 75:[74, 1], Operations: ['64+31=95', '95/95=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
48,
57,
10,
39
] | 12 | [
"57+39=96",
"96/48=2",
"10+2=12"
] | Current State: 12:[48, 57, 10, 39], Operations: []
Exploring Operation: 57+39=96, Resulting Numbers: [48, 10, 96]
Generated Node #2: [48, 10, 96] from Operation: 57+39=96
Current State: 12:[48, 10, 96], Operations: ['57+39=96']
Exploring Operation: 96/48=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 96/48=2
Current State: 12:[10, 2], Operations: ['57+39=96', '96/48=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
26,
4,
61,
67
] | 73 | [
"61-26=35",
"4*35=140",
"140-67=73"
] | Current State: 73:[26, 4, 61, 67], Operations: []
Exploring Operation: 61-26=35, Resulting Numbers: [4, 67, 35]
Generated Node #2: [4, 67, 35] from Operation: 61-26=35
Current State: 73:[4, 67, 35], Operations: ['61-26=35']
Exploring Operation: 4*35=140, Resulting Numbers: [67, 140]
Generated Node #3: [67, 140] from Operation: 4*35=140
Current State: 73:[67, 140], Operations: ['61-26=35', '4*35=140']
Exploring Operation: 140-67=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
32,
14,
3,
29
] | 97 | [
"14+29=43",
"3*43=129",
"129-32=97"
] | Current State: 97:[32, 14, 3, 29], Operations: []
Exploring Operation: 14+29=43, Resulting Numbers: [32, 3, 43]
Generated Node #2: [32, 3, 43] from Operation: 14+29=43
Current State: 97:[32, 3, 43], Operations: ['14+29=43']
Exploring Operation: 3*43=129, Resulting Numbers: [32, 129]
Generated Node #3: [32, 129] from Operation: 3*43=129
Current State: 97:[32, 129], Operations: ['14+29=43', '3*43=129']
Exploring Operation: 129-32=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
66,
16,
63,
57
] | 30 | [
"63-57=6",
"16*6=96",
"96-66=30"
] | Current State: 30:[66, 16, 63, 57], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [66, 16, 6]
Generated Node #2: [66, 16, 6] from Operation: 63-57=6
Current State: 30:[66, 16, 6], Operations: ['63-57=6']
Exploring Operation: 16*6=96, Resulting Numbers: [66, 96]
Generated Node #3: [66, 96] from Operation: 16*6=96
Current State: 30:[66, 96], Operations: ['63-57=6', '16*6=96']
Exploring Operation: 96-66=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
16,
60,
41,
56
] | 60 | [
"16+41=57",
"57-56=1",
"60*1=60"
] | Current State: 60:[16, 60, 41, 56], Operations: []
Exploring Operation: 16+41=57, Resulting Numbers: [60, 56, 57]
Generated Node #2: [60, 56, 57] from Operation: 16+41=57
Current State: 60:[60, 56, 57], Operations: ['16+41=57']
Exploring Operation: 57-56=1, Resulting Numbers: [60, 1]
Generated Node #3: [60, 1] from Operation: 57-56=1
Current State: 60:[60, 1], Operations: ['16+41=57', '57-56=1']
Exploring Operation: 60*1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
97,
87,
19,
22
] | 51 | [
"97-87=10",
"19+22=41",
"10+41=51"
] | Current State: 51:[97, 87, 19, 22], Operations: []
Exploring Operation: 97-87=10, Resulting Numbers: [19, 22, 10]
Generated Node #2: [19, 22, 10] from Operation: 97-87=10
Current State: 51:[19, 22, 10], Operations: ['97-87=10']
Exploring Operation: 19+22=41, Resulting Numbers: [10, 41]
Generated Node #3: [10, 41] from Operation: 19+22=41
Current State: 51:[10, 41], Operations: ['97-87=10', '19+22=41']
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
7,
35,
80,
14
] | 82 | [
"35-7=28",
"28/14=2",
"80+2=82"
] | Current State: 82:[7, 35, 80, 14], Operations: []
Exploring Operation: 35-7=28, Resulting Numbers: [80, 14, 28]
Generated Node #2: [80, 14, 28] from Operation: 35-7=28
Current State: 82:[80, 14, 28], Operations: ['35-7=28']
Exploring Operation: 28/14=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 28/14=2
Current State: 82:[80, 2], Operations: ['35-7=28', '28/14=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
98,
3,
29,
1
] | 78 | [
"3-1=2",
"98/2=49",
"29+49=78"
] | Current State: 78:[98, 3, 29, 1], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [98, 29, 2]
Generated Node #2: [98, 29, 2] from Operation: 3-1=2
Current State: 78:[98, 29, 2], Operations: ['3-1=2']
Exploring Operation: 98/2=49, Resulting Numbers: [29, 49]
Generated Node #3: [29, 49] from Operation: 98/2=49
Current State: 78:[29, 49], Operations: ['3-1=2', '98/2=49']
Exploring Operation: 29+49=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
76,
64,
48,
21
] | 48 | [
"76-48=28",
"64*21=1344",
"1344/28=48"
] | Current State: 48:[76, 64, 48, 21], Operations: []
Exploring Operation: 76-48=28, Resulting Numbers: [64, 21, 28]
Generated Node #2: [64, 21, 28] from Operation: 76-48=28
Current State: 48:[64, 21, 28], Operations: ['76-48=28']
Exploring Operation: 64*21=1344, Resulting Numbers: [28, 1344]
Generated Node #3: [28, 1344] from Operation: 64*21=1344
Current State: 48:[28, 1344], Operations: ['76-48=28', '64*21=1344']
Exploring Operation: 1344/28=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
90,
27,
84,
30
] | 22 | [
"90-84=6",
"30/6=5",
"27-5=22"
] | Current State: 22:[90, 27, 84, 30], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [27, 30, 6]
Generated Node #2: [27, 30, 6] from Operation: 90-84=6
Current State: 22:[27, 30, 6], Operations: ['90-84=6']
Exploring Operation: 30/6=5, Resulting Numbers: [27, 5]
Generated Node #3: [27, 5] from Operation: 30/6=5
Current State: 22:[27, 5], Operations: ['90-84=6', '30/6=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
44,
54,
91,
89
] | 32 | [
"91-89=2",
"44/2=22",
"54-22=32"
] | Current State: 32:[44, 54, 91, 89], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [44, 54, 2]
Generated Node #2: [44, 54, 2] from Operation: 91-89=2
Current State: 32:[44, 54, 2], Operations: ['91-89=2']
Exploring Operation: 44/2=22, Resulting Numbers: [54, 22]
Generated Node #3: [54, 22] from Operation: 44/2=22
Current State: 32:[54, 22], Operations: ['91-89=2', '44/2=22']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
84,
26,
2,
51
] | 20 | [
"84-51=33",
"26/2=13",
"33-13=20"
] | Current State: 20:[84, 26, 2, 51], Operations: []
Exploring Operation: 84-51=33, Resulting Numbers: [26, 2, 33]
Generated Node #2: [26, 2, 33] from Operation: 84-51=33
Current State: 20:[26, 2, 33], Operations: ['84-51=33']
Exploring Operation: 26/2=13, Resulting Numbers: [33, 13]
Generated Node #3: [33, 13] from Operation: 26/2=13
Current State: 20:[33, 13], Operations: ['84-51=33', '26/2=13']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
2,
80,
84,
4
] | 42 | [
"84/2=42",
"80+4=84",
"84-42=42"
] | Current State: 42:[2, 80, 84, 4], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [80, 4, 42]
Generated Node #2: [80, 4, 42] from Operation: 84/2=42
Current State: 42:[80, 4, 42], Operations: ['84/2=42']
Exploring Operation: 80+4=84, Resulting Numbers: [42, 84]
Generated Node #3: [42, 84] from Operation: 80+4=84
Current State: 42:[42, 84], Operations: ['84/2=42', '80+4=84']
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
97,
4,
53,
58
] | 98 | [
"97-4=93",
"58-53=5",
"93+5=98"
] | Current State: 98:[97, 4, 53, 58], Operations: []
Exploring Operation: 97-4=93, Resulting Numbers: [53, 58, 93]
Generated Node #2: [53, 58, 93] from Operation: 97-4=93
Current State: 98:[53, 58, 93], Operations: ['97-4=93']
Exploring Operation: 58-53=5, Resulting Numbers: [93, 5]
Generated Node #3: [93, 5] from Operation: 58-53=5
Current State: 98:[93, 5], Operations: ['97-4=93', '58-53=5']
Exploring Operation: 93+5=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
87,
14,
3,
85
] | 14 | [
"87-3=84",
"85-84=1",
"14*1=14"
] | Current State: 14:[87, 14, 3, 85], Operations: []
Exploring Operation: 87-3=84, Resulting Numbers: [14, 85, 84]
Generated Node #2: [14, 85, 84] from Operation: 87-3=84
Current State: 14:[14, 85, 84], Operations: ['87-3=84']
Exploring Operation: 85-84=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 85-84=1
Current State: 14:[14, 1], Operations: ['87-3=84', '85-84=1']
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
72,
64,
64,
55
] | 16 | [
"72-55=17",
"64/64=1",
"17-1=16"
] | Current State: 16:[72, 64, 64, 55], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [64, 64, 17]
Generated Node #2: [64, 64, 17] from Operation: 72-55=17
Current State: 16:[64, 64, 17], Operations: ['72-55=17']
Exploring Operation: 64/64=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 64/64=1
Current State: 16:[17, 1], Operations: ['72-55=17', '64/64=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
42,
97,
4,
8
] | 71 | [
"8-4=4",
"42*4=168",
"168-97=71"
] | Current State: 71:[42, 97, 4, 8], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [42, 97, 4]
Generated Node #2: [42, 97, 4] from Operation: 8-4=4
Current State: 71:[42, 97, 4], Operations: ['8-4=4']
Exploring Operation: 42*4=168, Resulting Numbers: [97, 168]
Generated Node #3: [97, 168] from Operation: 42*4=168
Current State: 71:[97, 168], Operations: ['8-4=4', '42*4=168']
Exploring Operation: 168-97=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
10,
7,
17,
20
] | 51 | [
"10+7=17",
"20-17=3",
"17*3=51"
] | Current State: 51:[10, 7, 17, 20], Operations: []
Exploring Operation: 10+7=17, Resulting Numbers: [17, 20, 17]
Generated Node #2: [17, 20, 17] from Operation: 10+7=17
Current State: 51:[17, 20, 17], Operations: ['10+7=17']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,51 equal: Goal Reached
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
84,
28,
62,
46
] | 72 | [
"84-28=56",
"62-46=16",
"56+16=72"
] | Current State: 72:[84, 28, 62, 46], Operations: []
Exploring Operation: 84-28=56, Resulting Numbers: [62, 46, 56]
Generated Node #2: [62, 46, 56] from Operation: 84-28=56
Current State: 72:[62, 46, 56], Operations: ['84-28=56']
Exploring Operation: 62-46=16, Resulting Numbers: [56, 16]
Generated Node #3: [56, 16] from Operation: 62-46=16
Current State: 72:[56, 16], Operations: ['84-28=56', '62-46=16']
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
99,
24,
32,
33
] | 24 | [
"99/33=3",
"32-24=8",
"3*8=24"
] | Current State: 24:[99, 24, 32, 33], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [24, 32, 3]
Generated Node #2: [24, 32, 3] from Operation: 99/33=3
Current State: 24:[24, 32, 3], Operations: ['99/33=3']
Exploring Operation: 32-24=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 32-24=8
Current State: 24:[3, 8], Operations: ['99/33=3', '32-24=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
83,
21,
29,
13
] | 62 | [
"83+21=104",
"29+13=42",
"104-42=62"
] | Current State: 62:[83, 21, 29, 13], Operations: []
Exploring Operation: 83+21=104, Resulting Numbers: [29, 13, 104]
Generated Node #2: [29, 13, 104] from Operation: 83+21=104
Current State: 62:[29, 13, 104], Operations: ['83+21=104']
Exploring Operation: 29+13=42, Resulting Numbers: [104, 42]
Generated Node #3: [104, 42] from Operation: 29+13=42
Current State: 62:[104, 42], Operations: ['83+21=104', '29+13=42']
Exploring Operation: 104-42=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
12,
29,
6,
55
] | 90 | [
"12+29=41",
"55-6=49",
"41+49=90"
] | Current State: 90:[12, 29, 6, 55], Operations: []
Exploring Operation: 12+29=41, Resulting Numbers: [6, 55, 41]
Generated Node #2: [6, 55, 41] from Operation: 12+29=41
Current State: 90:[6, 55, 41], Operations: ['12+29=41']
Exploring Operation: 55-6=49, Resulting Numbers: [41, 49]
Generated Node #3: [41, 49] from Operation: 55-6=49
Current State: 90:[41, 49], Operations: ['12+29=41', '55-6=49']
Exploring Operation: 41+49=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
73,
2,
18,
51
] | 47 | [
"73-18=55",
"2*51=102",
"102-55=47"
] | Current State: 47:[73, 2, 18, 51], Operations: []
Exploring Operation: 73-18=55, Resulting Numbers: [2, 51, 55]
Generated Node #2: [2, 51, 55] from Operation: 73-18=55
Current State: 47:[2, 51, 55], Operations: ['73-18=55']
Exploring Operation: 2*51=102, Resulting Numbers: [55, 102]
Generated Node #3: [55, 102] from Operation: 2*51=102
Current State: 47:[55, 102], Operations: ['73-18=55', '2*51=102']
Exploring Operation: 102-55=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
30,
90,
51,
2
] | 52 | [
"90/30=3",
"51-2=49",
"3+49=52"
] | Current State: 52:[30, 90, 51, 2], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [51, 2, 3]
Generated Node #2: [51, 2, 3] from Operation: 90/30=3
Current State: 52:[51, 2, 3], Operations: ['90/30=3']
Exploring Operation: 51-2=49, Resulting Numbers: [3, 49]
Generated Node #3: [3, 49] from Operation: 51-2=49
Current State: 52:[3, 49], Operations: ['90/30=3', '51-2=49']
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
59,
26,
85,
60
] | 86 | [
"85*60=5100",
"5100-26=5074",
"5074/59=86"
] | Current State: 86:[59, 26, 85, 60], Operations: []
Exploring Operation: 85*60=5100, Resulting Numbers: [59, 26, 5100]
Generated Node #2: [59, 26, 5100] from Operation: 85*60=5100
Current State: 86:[59, 26, 5100], Operations: ['85*60=5100']
Exploring Operation: 5100-26=5074, Resulting Numbers: [59, 5074]
Generated Node #3: [59, 5074] from Operation: 5100-26=5074
Current State: 86:[59, 5074], Operations: ['85*60=5100', '5100-26=5074']
Exploring Operation: 5074/59=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
10,
98,
18,
65
] | 73 | [
"98-18=80",
"80/10=8",
"65+8=73"
] | Current State: 73:[10, 98, 18, 65], Operations: []
Exploring Operation: 98-18=80, Resulting Numbers: [10, 65, 80]
Generated Node #2: [10, 65, 80] from Operation: 98-18=80
Current State: 73:[10, 65, 80], Operations: ['98-18=80']
Exploring Operation: 80/10=8, Resulting Numbers: [65, 8]
Generated Node #3: [65, 8] from Operation: 80/10=8
Current State: 73:[65, 8], Operations: ['98-18=80', '80/10=8']
Exploring Operation: 65+8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
22,
2,
51,
14
] | 72 | [
"51-22=29",
"2*29=58",
"14+58=72"
] | Current State: 72:[22, 2, 51, 14], Operations: []
Exploring Operation: 51-22=29, Resulting Numbers: [2, 14, 29]
Generated Node #2: [2, 14, 29] from Operation: 51-22=29
Current State: 72:[2, 14, 29], Operations: ['51-22=29']
Exploring Operation: 2*29=58, Resulting Numbers: [14, 58]
Generated Node #3: [14, 58] from Operation: 2*29=58
Current State: 72:[14, 58], Operations: ['51-22=29', '2*29=58']
Exploring Operation: 14+58=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
43,
61,
3,
86
] | 54 | [
"43+61=104",
"104-86=18",
"3*18=54"
] | Current State: 54:[43, 61, 3, 86], Operations: []
Exploring Operation: 43+61=104, Resulting Numbers: [3, 86, 104]
Generated Node #2: [3, 86, 104] from Operation: 43+61=104
Current State: 54:[3, 86, 104], Operations: ['43+61=104']
Exploring Operation: 104-86=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 104-86=18
Current State: 54:[3, 18], Operations: ['43+61=104', '104-86=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
70,
98,
10,
7
] | 40 | [
"98-70=28",
"10*28=280",
"280/7=40"
] | Current State: 40:[70, 98, 10, 7], Operations: []
Exploring Operation: 98-70=28, Resulting Numbers: [10, 7, 28]
Generated Node #2: [10, 7, 28] from Operation: 98-70=28
Current State: 40:[10, 7, 28], Operations: ['98-70=28']
Exploring Operation: 10*28=280, Resulting Numbers: [7, 280]
Generated Node #3: [7, 280] from Operation: 10*28=280
Current State: 40:[7, 280], Operations: ['98-70=28', '10*28=280']
Exploring Operation: 280/7=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
88,
76,
19,
10
] | 38 | [
"88-76=12",
"12-10=2",
"19*2=38"
] | Current State: 38:[88, 76, 19, 10], Operations: []
Exploring Operation: 88-76=12, Resulting Numbers: [19, 10, 12]
Generated Node #2: [19, 10, 12] from Operation: 88-76=12
Current State: 38:[19, 10, 12], Operations: ['88-76=12']
Exploring Operation: 12-10=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 12-10=2
Current State: 38:[19, 2], Operations: ['88-76=12', '12-10=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
39,
38,
85,
79
] | 88 | [
"38+79=117",
"117/39=3",
"85+3=88"
] | Current State: 88:[39, 38, 85, 79], Operations: []
Exploring Operation: 38+79=117, Resulting Numbers: [39, 85, 117]
Generated Node #2: [39, 85, 117] from Operation: 38+79=117
Current State: 88:[39, 85, 117], Operations: ['38+79=117']
Exploring Operation: 117/39=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 117/39=3
Current State: 88:[85, 3], Operations: ['38+79=117', '117/39=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
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