nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
22,
55,
99,
49
] | 17 | [
"55-22=33",
"99-49=50",
"50-33=17"
] | Current State: 17:[22, 55, 99, 49], Operations: []
Exploring Operation: 55-22=33, Resulting Numbers: [99, 49, 33]
Generated Node #2: [99, 49, 33] from Operation: 55-22=33
Current State: 17:[99, 49, 33], Operations: ['55-22=33']
Exploring Operation: 99-49=50, Resulting Numbers: [33, 50]
Generated Node #3: [33, 50] from Operation: 99-49=50
Current State: 17:[33, 50], Operations: ['55-22=33', '99-49=50']
Exploring Operation: 50-33=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
50,
11,
50,
83
] | 93 | [
"50/50=1",
"11+83=94",
"94-1=93"
] | Current State: 93:[50, 11, 50, 83], Operations: []
Exploring Operation: 50/50=1, Resulting Numbers: [11, 83, 1]
Generated Node #2: [11, 83, 1] from Operation: 50/50=1
Current State: 93:[11, 83, 1], Operations: ['50/50=1']
Exploring Operation: 11+83=94, Resulting Numbers: [1, 94]
Generated Node #3: [1, 94] from Operation: 11+83=94
Current State: 93:[1, 94], Operations: ['50/50=1', '11+83=94']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
45,
43,
12,
12
] | 26 | [
"45-43=2",
"12+12=24",
"2+24=26"
] | Current State: 26:[45, 43, 12, 12], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [12, 12, 2]
Generated Node #2: [12, 12, 2] from Operation: 45-43=2
Current State: 26:[12, 12, 2], Operations: ['45-43=2']
Exploring Operation: 12+12=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 12+12=24
Current State: 26:[2, 24], Operations: ['45-43=2', '12+12=24']
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
25,
76,
23,
47
] | 58 | [
"25-23=2",
"76-47=29",
"2*29=58"
] | Current State: 58:[25, 76, 23, 47], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [76, 47, 2]
Generated Node #2: [76, 47, 2] from Operation: 25-23=2
Current State: 58:[76, 47, 2], Operations: ['25-23=2']
Exploring Operation: 76-47=29, Resulting Numbers: [2, 29]
Generated Node #3: [2, 29] from Operation: 76-47=29
Current State: 58:[2, 29], Operations: ['25-23=2', '76-47=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
35,
54,
37,
34
] | 86 | [
"35+54=89",
"37-34=3",
"89-3=86"
] | Current State: 86:[35, 54, 37, 34], Operations: []
Exploring Operation: 35+54=89, Resulting Numbers: [37, 34, 89]
Generated Node #2: [37, 34, 89] from Operation: 35+54=89
Current State: 86:[37, 34, 89], Operations: ['35+54=89']
Exploring Operation: 37-34=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 37-34=3
Current State: 86:[89, 3], Operations: ['35+54=89', '37-34=3']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
2,
69,
8,
85
] | 81 | [
"69+8=77",
"85+77=162",
"162/2=81"
] | Current State: 81:[2, 69, 8, 85], Operations: []
Exploring Operation: 69+8=77, Resulting Numbers: [2, 85, 77]
Generated Node #2: [2, 85, 77] from Operation: 69+8=77
Current State: 81:[2, 85, 77], Operations: ['69+8=77']
Exploring Operation: 85+77=162, Resulting Numbers: [2, 162]
Generated Node #3: [2, 162] from Operation: 85+77=162
Current State: 81:[2, 162], Operations: ['69+8=77', '85+77=162']
Exploring Operation: 162/2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
31,
11,
5,
41
] | 13 | [
"41-31=10",
"10/5=2",
"11+2=13"
] | Current State: 13:[31, 11, 5, 41], Operations: []
Exploring Operation: 41-31=10, Resulting Numbers: [11, 5, 10]
Generated Node #2: [11, 5, 10] from Operation: 41-31=10
Current State: 13:[11, 5, 10], Operations: ['41-31=10']
Exploring Operation: 10/5=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 10/5=2
Current State: 13:[11, 2], Operations: ['41-31=10', '10/5=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
76,
24,
94,
88
] | 58 | [
"76-24=52",
"94-88=6",
"52+6=58"
] | Current State: 58:[76, 24, 94, 88], Operations: []
Exploring Operation: 76-24=52, Resulting Numbers: [94, 88, 52]
Generated Node #2: [94, 88, 52] from Operation: 76-24=52
Current State: 58:[94, 88, 52], Operations: ['76-24=52']
Exploring Operation: 94-88=6, Resulting Numbers: [52, 6]
Generated Node #3: [52, 6] from Operation: 94-88=6
Current State: 58:[52, 6], Operations: ['76-24=52', '94-88=6']
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
81,
10,
30,
60
] | 78 | [
"30-10=20",
"60/20=3",
"81-3=78"
] | Current State: 78:[81, 10, 30, 60], Operations: []
Exploring Operation: 30-10=20, Resulting Numbers: [81, 60, 20]
Generated Node #2: [81, 60, 20] from Operation: 30-10=20
Current State: 78:[81, 60, 20], Operations: ['30-10=20']
Exploring Operation: 60/20=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 60/20=3
Current State: 78:[81, 3], Operations: ['30-10=20', '60/20=3']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
46,
17,
31,
30
] | 29 | [
"46-17=29",
"31-30=1",
"29*1=29"
] | Current State: 29:[46, 17, 31, 30], Operations: []
Exploring Operation: 46-17=29, Resulting Numbers: [31, 30, 29]
Generated Node #2: [31, 30, 29] from Operation: 46-17=29
Current State: 29:[31, 30, 29], Operations: ['46-17=29']
Exploring Operation: 31-30=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 31-30=1
Current State: 29:[29, 1], Operations: ['46-17=29', '31-30=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
23,
72,
72,
52
] | 75 | [
"23+72=95",
"72-52=20",
"95-20=75"
] | Current State: 75:[23, 72, 72, 52], Operations: []
Exploring Operation: 23+72=95, Resulting Numbers: [52, 95]
Generated Node #2: [52, 95] from Operation: 23+72=95
Current State: 75:[52, 95], Operations: ['23+72=95']
Exploring Operation: 72-52=20, Resulting Numbers: [95, 20]
Generated Node #3: [95, 20] from Operation: 72-52=20
Current State: 75:[95, 20], Operations: ['23+72=95', '72-52=20']
Exploring Operation: 95-20=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
91,
23,
93,
58
] | 89 | [
"23+93=116",
"116/58=2",
"91-2=89"
] | Current State: 89:[91, 23, 93, 58], Operations: []
Exploring Operation: 23+93=116, Resulting Numbers: [91, 58, 116]
Generated Node #2: [91, 58, 116] from Operation: 23+93=116
Current State: 89:[91, 58, 116], Operations: ['23+93=116']
Exploring Operation: 116/58=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 116/58=2
Current State: 89:[91, 2], Operations: ['23+93=116', '116/58=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
52,
73,
8,
11
] | 24 | [
"73-52=21",
"11-8=3",
"21+3=24"
] | Current State: 24:[52, 73, 8, 11], Operations: []
Exploring Operation: 73-52=21, Resulting Numbers: [8, 11, 21]
Generated Node #2: [8, 11, 21] from Operation: 73-52=21
Current State: 24:[8, 11, 21], Operations: ['73-52=21']
Exploring Operation: 11-8=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 11-8=3
Current State: 24:[21, 3], Operations: ['73-52=21', '11-8=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
18,
96,
99,
15
] | 63 | [
"18-15=3",
"99/3=33",
"96-33=63"
] | Current State: 63:[18, 96, 99, 15], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [96, 99, 3]
Generated Node #2: [96, 99, 3] from Operation: 18-15=3
Current State: 63:[96, 99, 3], Operations: ['18-15=3']
Exploring Operation: 99/3=33, Resulting Numbers: [96, 33]
Generated Node #3: [96, 33] from Operation: 99/3=33
Current State: 63:[96, 33], Operations: ['18-15=3', '99/3=33']
Exploring Operation: 96-33=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
84,
94,
70,
95
] | 14 | [
"84-70=14",
"95-94=1",
"14*1=14"
] | Current State: 14:[84, 94, 70, 95], Operations: []
Exploring Operation: 84-70=14, Resulting Numbers: [94, 95, 14]
Generated Node #2: [94, 95, 14] from Operation: 84-70=14
Current State: 14:[94, 95, 14], Operations: ['84-70=14']
Exploring Operation: 95-94=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 95-94=1
Current State: 14:[14, 1], Operations: ['84-70=14', '95-94=1']
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
26,
60,
49,
52
] | 83 | [
"26+60=86",
"52-49=3",
"86-3=83"
] | Current State: 83:[26, 60, 49, 52], Operations: []
Exploring Operation: 26+60=86, Resulting Numbers: [49, 52, 86]
Generated Node #2: [49, 52, 86] from Operation: 26+60=86
Current State: 83:[49, 52, 86], Operations: ['26+60=86']
Exploring Operation: 52-49=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 52-49=3
Current State: 83:[86, 3], Operations: ['26+60=86', '52-49=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
72,
8,
20,
30
] | 60 | [
"8*30=240",
"240/20=12",
"72-12=60"
] | Current State: 60:[72, 8, 20, 30], Operations: []
Exploring Operation: 8*30=240, Resulting Numbers: [72, 20, 240]
Generated Node #2: [72, 20, 240] from Operation: 8*30=240
Current State: 60:[72, 20, 240], Operations: ['8*30=240']
Exploring Operation: 240/20=12, Resulting Numbers: [72, 12]
Generated Node #3: [72, 12] from Operation: 240/20=12
Current State: 60:[72, 12], Operations: ['8*30=240', '240/20=12']
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
4,
83,
34,
28
] | 81 | [
"4+83=87",
"34-28=6",
"87-6=81"
] | Current State: 81:[4, 83, 34, 28], Operations: []
Exploring Operation: 4+83=87, Resulting Numbers: [34, 28, 87]
Generated Node #2: [34, 28, 87] from Operation: 4+83=87
Current State: 81:[34, 28, 87], Operations: ['4+83=87']
Exploring Operation: 34-28=6, Resulting Numbers: [87, 6]
Generated Node #3: [87, 6] from Operation: 34-28=6
Current State: 81:[87, 6], Operations: ['4+83=87', '34-28=6']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
69,
87,
4,
38
] | 77 | [
"69+87=156",
"156/4=39",
"38+39=77"
] | Current State: 77:[69, 87, 4, 38], Operations: []
Exploring Operation: 69+87=156, Resulting Numbers: [4, 38, 156]
Generated Node #2: [4, 38, 156] from Operation: 69+87=156
Current State: 77:[4, 38, 156], Operations: ['69+87=156']
Exploring Operation: 156/4=39, Resulting Numbers: [38, 39]
Generated Node #3: [38, 39] from Operation: 156/4=39
Current State: 77:[38, 39], Operations: ['69+87=156', '156/4=39']
Exploring Operation: 38+39=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
94,
42,
19,
87
] | 91 | [
"94-87=7",
"19*7=133",
"133-42=91"
] | Current State: 91:[94, 42, 19, 87], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [42, 19, 7]
Generated Node #2: [42, 19, 7] from Operation: 94-87=7
Current State: 91:[42, 19, 7], Operations: ['94-87=7']
Exploring Operation: 19*7=133, Resulting Numbers: [42, 133]
Generated Node #3: [42, 133] from Operation: 19*7=133
Current State: 91:[42, 133], Operations: ['94-87=7', '19*7=133']
Exploring Operation: 133-42=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
75,
39,
19,
12
] | 18 | [
"75+39=114",
"114/19=6",
"12+6=18"
] | Current State: 18:[75, 39, 19, 12], Operations: []
Exploring Operation: 75+39=114, Resulting Numbers: [19, 12, 114]
Generated Node #2: [19, 12, 114] from Operation: 75+39=114
Current State: 18:[19, 12, 114], Operations: ['75+39=114']
Exploring Operation: 114/19=6, Resulting Numbers: [12, 6]
Generated Node #3: [12, 6] from Operation: 114/19=6
Current State: 18:[12, 6], Operations: ['75+39=114', '114/19=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
45,
11,
83,
70
] | 97 | [
"45+11=56",
"83+70=153",
"153-56=97"
] | Current State: 97:[45, 11, 83, 70], Operations: []
Exploring Operation: 45+11=56, Resulting Numbers: [83, 70, 56]
Generated Node #2: [83, 70, 56] from Operation: 45+11=56
Current State: 97:[83, 70, 56], Operations: ['45+11=56']
Exploring Operation: 83+70=153, Resulting Numbers: [56, 153]
Generated Node #3: [56, 153] from Operation: 83+70=153
Current State: 97:[56, 153], Operations: ['45+11=56', '83+70=153']
Exploring Operation: 153-56=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
32,
65,
17,
63
] | 81 | [
"65-63=2",
"32*2=64",
"17+64=81"
] | Current State: 81:[32, 65, 17, 63], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [32, 17, 2]
Generated Node #2: [32, 17, 2] from Operation: 65-63=2
Current State: 81:[32, 17, 2], Operations: ['65-63=2']
Exploring Operation: 32*2=64, Resulting Numbers: [17, 64]
Generated Node #3: [17, 64] from Operation: 32*2=64
Current State: 81:[17, 64], Operations: ['65-63=2', '32*2=64']
Exploring Operation: 17+64=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
5,
69,
10,
89
] | 100 | [
"10-5=5",
"89-69=20",
"5*20=100"
] | Current State: 100:[5, 69, 10, 89], Operations: []
Exploring Operation: 10-5=5, Resulting Numbers: [69, 89, 5]
Generated Node #2: [69, 89, 5] from Operation: 10-5=5
Current State: 100:[69, 89, 5], Operations: ['10-5=5']
Exploring Operation: 89-69=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 89-69=20
Current State: 100:[5, 20], Operations: ['10-5=5', '89-69=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
87,
72,
36,
41
] | 48 | [
"87-41=46",
"72/36=2",
"46+2=48"
] | Current State: 48:[87, 72, 36, 41], Operations: []
Exploring Operation: 87-41=46, Resulting Numbers: [72, 36, 46]
Generated Node #2: [72, 36, 46] from Operation: 87-41=46
Current State: 48:[72, 36, 46], Operations: ['87-41=46']
Exploring Operation: 72/36=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 72/36=2
Current State: 48:[46, 2], Operations: ['87-41=46', '72/36=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
59,
15,
11,
51
] | 25 | [
"59+51=110",
"110/11=10",
"15+10=25"
] | Current State: 25:[59, 15, 11, 51], Operations: []
Exploring Operation: 59+51=110, Resulting Numbers: [15, 11, 110]
Generated Node #2: [15, 11, 110] from Operation: 59+51=110
Current State: 25:[15, 11, 110], Operations: ['59+51=110']
Exploring Operation: 110/11=10, Resulting Numbers: [15, 10]
Generated Node #3: [15, 10] from Operation: 110/11=10
Current State: 25:[15, 10], Operations: ['59+51=110', '110/11=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
73,
24,
76,
28
] | 49 | [
"73+24=97",
"76-28=48",
"97-48=49"
] | Current State: 49:[73, 24, 76, 28], Operations: []
Exploring Operation: 73+24=97, Resulting Numbers: [76, 28, 97]
Generated Node #2: [76, 28, 97] from Operation: 73+24=97
Current State: 49:[76, 28, 97], Operations: ['73+24=97']
Exploring Operation: 76-28=48, Resulting Numbers: [97, 48]
Generated Node #3: [97, 48] from Operation: 76-28=48
Current State: 49:[97, 48], Operations: ['73+24=97', '76-28=48']
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
36,
81,
80,
65
] | 60 | [
"81-36=45",
"80-65=15",
"45+15=60"
] | Current State: 60:[36, 81, 80, 65], Operations: []
Exploring Operation: 81-36=45, Resulting Numbers: [80, 65, 45]
Generated Node #2: [80, 65, 45] from Operation: 81-36=45
Current State: 60:[80, 65, 45], Operations: ['81-36=45']
Exploring Operation: 80-65=15, Resulting Numbers: [45, 15]
Generated Node #3: [45, 15] from Operation: 80-65=15
Current State: 60:[45, 15], Operations: ['81-36=45', '80-65=15']
Exploring Operation: 45+15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
22,
14,
31,
99
] | 44 | [
"14*99=1386",
"1386-22=1364",
"1364/31=44"
] | Current State: 44:[22, 14, 31, 99], Operations: []
Exploring Operation: 14*99=1386, Resulting Numbers: [22, 31, 1386]
Generated Node #2: [22, 31, 1386] from Operation: 14*99=1386
Current State: 44:[22, 31, 1386], Operations: ['14*99=1386']
Exploring Operation: 1386-22=1364, Resulting Numbers: [31, 1364]
Generated Node #3: [31, 1364] from Operation: 1386-22=1364
Current State: 44:[31, 1364], Operations: ['14*99=1386', '1386-22=1364']
Exploring Operation: 1364/31=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
84,
76,
7,
92
] | 60 | [
"76+92=168",
"168/7=24",
"84-24=60"
] | Current State: 60:[84, 76, 7, 92], Operations: []
Exploring Operation: 76+92=168, Resulting Numbers: [84, 7, 168]
Generated Node #2: [84, 7, 168] from Operation: 76+92=168
Current State: 60:[84, 7, 168], Operations: ['76+92=168']
Exploring Operation: 168/7=24, Resulting Numbers: [84, 24]
Generated Node #3: [84, 24] from Operation: 168/7=24
Current State: 60:[84, 24], Operations: ['76+92=168', '168/7=24']
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
11,
42,
32,
80
] | 94 | [
"42*80=3360",
"3360/32=105",
"105-11=94"
] | Current State: 94:[11, 42, 32, 80], Operations: []
Exploring Operation: 42*80=3360, Resulting Numbers: [11, 32, 3360]
Generated Node #2: [11, 32, 3360] from Operation: 42*80=3360
Current State: 94:[11, 32, 3360], Operations: ['42*80=3360']
Exploring Operation: 3360/32=105, Resulting Numbers: [11, 105]
Generated Node #3: [11, 105] from Operation: 3360/32=105
Current State: 94:[11, 105], Operations: ['42*80=3360', '3360/32=105']
Exploring Operation: 105-11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
63,
5,
30,
19
] | 62 | [
"63-30=33",
"5*19=95",
"95-33=62"
] | Current State: 62:[63, 5, 30, 19], Operations: []
Exploring Operation: 63-30=33, Resulting Numbers: [5, 19, 33]
Generated Node #2: [5, 19, 33] from Operation: 63-30=33
Current State: 62:[5, 19, 33], Operations: ['63-30=33']
Exploring Operation: 5*19=95, Resulting Numbers: [33, 95]
Generated Node #3: [33, 95] from Operation: 5*19=95
Current State: 62:[33, 95], Operations: ['63-30=33', '5*19=95']
Exploring Operation: 95-33=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
85,
25,
22,
21
] | 59 | [
"85-25=60",
"22-21=1",
"60-1=59"
] | Current State: 59:[85, 25, 22, 21], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [22, 21, 60]
Generated Node #2: [22, 21, 60] from Operation: 85-25=60
Current State: 59:[22, 21, 60], Operations: ['85-25=60']
Exploring Operation: 22-21=1, Resulting Numbers: [60, 1]
Generated Node #3: [60, 1] from Operation: 22-21=1
Current State: 59:[60, 1], Operations: ['85-25=60', '22-21=1']
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
65,
23,
69,
45
] | 47 | [
"69-65=4",
"23*4=92",
"92-45=47"
] | Current State: 47:[65, 23, 69, 45], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [23, 45, 4]
Generated Node #2: [23, 45, 4] from Operation: 69-65=4
Current State: 47:[23, 45, 4], Operations: ['69-65=4']
Exploring Operation: 23*4=92, Resulting Numbers: [45, 92]
Generated Node #3: [45, 92] from Operation: 23*4=92
Current State: 47:[45, 92], Operations: ['69-65=4', '23*4=92']
Exploring Operation: 92-45=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
74,
26,
31,
5
] | 25 | [
"74+31=105",
"26*5=130",
"130-105=25"
] | Current State: 25:[74, 26, 31, 5], Operations: []
Exploring Operation: 74+31=105, Resulting Numbers: [26, 5, 105]
Generated Node #2: [26, 5, 105] from Operation: 74+31=105
Current State: 25:[26, 5, 105], Operations: ['74+31=105']
Exploring Operation: 26*5=130, Resulting Numbers: [105, 130]
Generated Node #3: [105, 130] from Operation: 26*5=130
Current State: 25:[105, 130], Operations: ['74+31=105', '26*5=130']
Exploring Operation: 130-105=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
41,
26,
51,
22
] | 88 | [
"41-26=15",
"51+22=73",
"15+73=88"
] | Current State: 88:[41, 26, 51, 22], Operations: []
Exploring Operation: 41-26=15, Resulting Numbers: [51, 22, 15]
Generated Node #2: [51, 22, 15] from Operation: 41-26=15
Current State: 88:[51, 22, 15], Operations: ['41-26=15']
Exploring Operation: 51+22=73, Resulting Numbers: [15, 73]
Generated Node #3: [15, 73] from Operation: 51+22=73
Current State: 88:[15, 73], Operations: ['41-26=15', '51+22=73']
Exploring Operation: 15+73=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
18,
62,
62,
5
] | 18 | [
"62-62=0",
"5*0=0",
"18+0=18"
] | Current State: 18:[18, 62, 62, 5], Operations: []
Exploring Operation: 62-62=0, Resulting Numbers: [18, 5, 0]
Generated Node #2: [18, 5, 0] from Operation: 62-62=0
Current State: 18:[18, 5, 0], Operations: ['62-62=0']
Exploring Operation: 5*0=0, Resulting Numbers: [18, 0]
Generated Node #3: [18, 0] from Operation: 5*0=0
Current State: 18:[18, 0], Operations: ['62-62=0', '5*0=0']
Exploring Operation: 18+0=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
14,
45,
44,
3
] | 18 | [
"14+45=59",
"44-3=41",
"59-41=18"
] | Current State: 18:[14, 45, 44, 3], Operations: []
Exploring Operation: 14+45=59, Resulting Numbers: [44, 3, 59]
Generated Node #2: [44, 3, 59] from Operation: 14+45=59
Current State: 18:[44, 3, 59], Operations: ['14+45=59']
Exploring Operation: 44-3=41, Resulting Numbers: [59, 41]
Generated Node #3: [59, 41] from Operation: 44-3=41
Current State: 18:[59, 41], Operations: ['14+45=59', '44-3=41']
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
99,
26,
64,
39
] | 48 | [
"99-26=73",
"64-39=25",
"73-25=48"
] | Current State: 48:[99, 26, 64, 39], Operations: []
Exploring Operation: 99-26=73, Resulting Numbers: [64, 39, 73]
Generated Node #2: [64, 39, 73] from Operation: 99-26=73
Current State: 48:[64, 39, 73], Operations: ['99-26=73']
Exploring Operation: 64-39=25, Resulting Numbers: [73, 25]
Generated Node #3: [73, 25] from Operation: 64-39=25
Current State: 48:[73, 25], Operations: ['99-26=73', '64-39=25']
Exploring Operation: 73-25=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
21,
23,
51,
2
] | 32 | [
"21*2=42",
"23+51=74",
"74-42=32"
] | Current State: 32:[21, 23, 51, 2], Operations: []
Exploring Operation: 21*2=42, Resulting Numbers: [23, 51, 42]
Generated Node #2: [23, 51, 42] from Operation: 21*2=42
Current State: 32:[23, 51, 42], Operations: ['21*2=42']
Exploring Operation: 23+51=74, Resulting Numbers: [42, 74]
Generated Node #3: [42, 74] from Operation: 23+51=74
Current State: 32:[42, 74], Operations: ['21*2=42', '23+51=74']
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
8,
54,
43,
57
] | 19 | [
"54-8=46",
"46-43=3",
"57/3=19"
] | Current State: 19:[8, 54, 43, 57], Operations: []
Exploring Operation: 54-8=46, Resulting Numbers: [43, 57, 46]
Generated Node #2: [43, 57, 46] from Operation: 54-8=46
Current State: 19:[43, 57, 46], Operations: ['54-8=46']
Exploring Operation: 46-43=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 46-43=3
Current State: 19:[57, 3], Operations: ['54-8=46', '46-43=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
34,
17,
84,
99
] | 57 | [
"34/17=2",
"84/2=42",
"99-42=57"
] | Current State: 57:[34, 17, 84, 99], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [84, 99, 2]
Generated Node #2: [84, 99, 2] from Operation: 34/17=2
Current State: 57:[84, 99, 2], Operations: ['34/17=2']
Exploring Operation: 84/2=42, Resulting Numbers: [99, 42]
Generated Node #3: [99, 42] from Operation: 84/2=42
Current State: 57:[99, 42], Operations: ['34/17=2', '84/2=42']
Exploring Operation: 99-42=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
39,
11,
74,
11
] | 91 | [
"39-11=28",
"74-11=63",
"28+63=91"
] | Current State: 91:[39, 11, 74, 11], Operations: []
Exploring Operation: 39-11=28, Resulting Numbers: [74, 28]
Generated Node #2: [74, 28] from Operation: 39-11=28
Current State: 91:[74, 28], Operations: ['39-11=28']
Exploring Operation: 74-11=63, Resulting Numbers: [28, 63]
Generated Node #3: [28, 63] from Operation: 74-11=63
Current State: 91:[28, 63], Operations: ['39-11=28', '74-11=63']
Exploring Operation: 28+63=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
24,
62,
68,
46
] | 28 | [
"24+62=86",
"68+46=114",
"114-86=28"
] | Current State: 28:[24, 62, 68, 46], Operations: []
Exploring Operation: 24+62=86, Resulting Numbers: [68, 46, 86]
Generated Node #2: [68, 46, 86] from Operation: 24+62=86
Current State: 28:[68, 46, 86], Operations: ['24+62=86']
Exploring Operation: 68+46=114, Resulting Numbers: [86, 114]
Generated Node #3: [86, 114] from Operation: 68+46=114
Current State: 28:[86, 114], Operations: ['24+62=86', '68+46=114']
Exploring Operation: 114-86=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
40,
45,
1,
64
] | 59 | [
"45-40=5",
"1*64=64",
"64-5=59"
] | Current State: 59:[40, 45, 1, 64], Operations: []
Exploring Operation: 45-40=5, Resulting Numbers: [1, 64, 5]
Generated Node #2: [1, 64, 5] from Operation: 45-40=5
Current State: 59:[1, 64, 5], Operations: ['45-40=5']
Exploring Operation: 1*64=64, Resulting Numbers: [5, 64]
Generated Node #3: [5, 64] from Operation: 1*64=64
Current State: 59:[5, 64], Operations: ['45-40=5', '1*64=64']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
14,
12,
80,
69
] | 36 | [
"80-14=66",
"69-66=3",
"12*3=36"
] | Current State: 36:[14, 12, 80, 69], Operations: []
Exploring Operation: 80-14=66, Resulting Numbers: [12, 69, 66]
Generated Node #2: [12, 69, 66] from Operation: 80-14=66
Current State: 36:[12, 69, 66], Operations: ['80-14=66']
Exploring Operation: 69-66=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 69-66=3
Current State: 36:[12, 3], Operations: ['80-14=66', '69-66=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
77,
42,
22,
41
] | 55 | [
"77-22=55",
"42-41=1",
"55*1=55"
] | Current State: 55:[77, 42, 22, 41], Operations: []
Exploring Operation: 77-22=55, Resulting Numbers: [42, 41, 55]
Generated Node #2: [42, 41, 55] from Operation: 77-22=55
Current State: 55:[42, 41, 55], Operations: ['77-22=55']
Exploring Operation: 42-41=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 42-41=1
Current State: 55:[55, 1], Operations: ['77-22=55', '42-41=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
73,
98,
76,
60
] | 35 | [
"73+98=171",
"76+60=136",
"171-136=35"
] | Current State: 35:[73, 98, 76, 60], Operations: []
Exploring Operation: 73+98=171, Resulting Numbers: [76, 60, 171]
Generated Node #2: [76, 60, 171] from Operation: 73+98=171
Current State: 35:[76, 60, 171], Operations: ['73+98=171']
Exploring Operation: 76+60=136, Resulting Numbers: [171, 136]
Generated Node #3: [171, 136] from Operation: 76+60=136
Current State: 35:[171, 136], Operations: ['73+98=171', '76+60=136']
Exploring Operation: 171-136=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
51,
62,
4,
50
] | 67 | [
"51+62=113",
"50-4=46",
"113-46=67"
] | Current State: 67:[51, 62, 4, 50], Operations: []
Exploring Operation: 51+62=113, Resulting Numbers: [4, 50, 113]
Generated Node #2: [4, 50, 113] from Operation: 51+62=113
Current State: 67:[4, 50, 113], Operations: ['51+62=113']
Exploring Operation: 50-4=46, Resulting Numbers: [113, 46]
Generated Node #3: [113, 46] from Operation: 50-4=46
Current State: 67:[113, 46], Operations: ['51+62=113', '50-4=46']
Exploring Operation: 113-46=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
71,
76,
65,
97
] | 15 | [
"71+76=147",
"65+97=162",
"162-147=15"
] | Current State: 15:[71, 76, 65, 97], Operations: []
Exploring Operation: 71+76=147, Resulting Numbers: [65, 97, 147]
Generated Node #2: [65, 97, 147] from Operation: 71+76=147
Current State: 15:[65, 97, 147], Operations: ['71+76=147']
Exploring Operation: 65+97=162, Resulting Numbers: [147, 162]
Generated Node #3: [147, 162] from Operation: 65+97=162
Current State: 15:[147, 162], Operations: ['71+76=147', '65+97=162']
Exploring Operation: 162-147=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
19,
24,
6,
22
] | 54 | [
"19*24=456",
"456/6=76",
"76-22=54"
] | Current State: 54:[19, 24, 6, 22], Operations: []
Exploring Operation: 19*24=456, Resulting Numbers: [6, 22, 456]
Generated Node #2: [6, 22, 456] from Operation: 19*24=456
Current State: 54:[6, 22, 456], Operations: ['19*24=456']
Exploring Operation: 456/6=76, Resulting Numbers: [22, 76]
Generated Node #3: [22, 76] from Operation: 456/6=76
Current State: 54:[22, 76], Operations: ['19*24=456', '456/6=76']
Exploring Operation: 76-22=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
49,
80,
5,
26
] | 35 | [
"49-26=23",
"5*23=115",
"115-80=35"
] | Current State: 35:[49, 80, 5, 26], Operations: []
Exploring Operation: 49-26=23, Resulting Numbers: [80, 5, 23]
Generated Node #2: [80, 5, 23] from Operation: 49-26=23
Current State: 35:[80, 5, 23], Operations: ['49-26=23']
Exploring Operation: 5*23=115, Resulting Numbers: [80, 115]
Generated Node #3: [80, 115] from Operation: 5*23=115
Current State: 35:[80, 115], Operations: ['49-26=23', '5*23=115']
Exploring Operation: 115-80=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
11,
58,
7,
12
] | 21 | [
"58+12=70",
"70/7=10",
"11+10=21"
] | Current State: 21:[11, 58, 7, 12], Operations: []
Exploring Operation: 58+12=70, Resulting Numbers: [11, 7, 70]
Generated Node #2: [11, 7, 70] from Operation: 58+12=70
Current State: 21:[11, 7, 70], Operations: ['58+12=70']
Exploring Operation: 70/7=10, Resulting Numbers: [11, 10]
Generated Node #3: [11, 10] from Operation: 70/7=10
Current State: 21:[11, 10], Operations: ['58+12=70', '70/7=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
41,
25,
23,
72
] | 21 | [
"41-23=18",
"72/18=4",
"25-4=21"
] | Current State: 21:[41, 25, 23, 72], Operations: []
Exploring Operation: 41-23=18, Resulting Numbers: [25, 72, 18]
Generated Node #2: [25, 72, 18] from Operation: 41-23=18
Current State: 21:[25, 72, 18], Operations: ['41-23=18']
Exploring Operation: 72/18=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 72/18=4
Current State: 21:[25, 4], Operations: ['41-23=18', '72/18=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
6,
22,
11,
45
] | 65 | [
"11-6=5",
"22*5=110",
"110-45=65"
] | Current State: 65:[6, 22, 11, 45], Operations: []
Exploring Operation: 11-6=5, Resulting Numbers: [22, 45, 5]
Generated Node #2: [22, 45, 5] from Operation: 11-6=5
Current State: 65:[22, 45, 5], Operations: ['11-6=5']
Exploring Operation: 22*5=110, Resulting Numbers: [45, 110]
Generated Node #3: [45, 110] from Operation: 22*5=110
Current State: 65:[45, 110], Operations: ['11-6=5', '22*5=110']
Exploring Operation: 110-45=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
94,
70,
59,
53
] | 18 | [
"94-70=24",
"59-53=6",
"24-6=18"
] | Current State: 18:[94, 70, 59, 53], Operations: []
Exploring Operation: 94-70=24, Resulting Numbers: [59, 53, 24]
Generated Node #2: [59, 53, 24] from Operation: 94-70=24
Current State: 18:[59, 53, 24], Operations: ['94-70=24']
Exploring Operation: 59-53=6, Resulting Numbers: [24, 6]
Generated Node #3: [24, 6] from Operation: 59-53=6
Current State: 18:[24, 6], Operations: ['94-70=24', '59-53=6']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
36,
4,
5,
49
] | 72 | [
"36-5=31",
"49-31=18",
"4*18=72"
] | Current State: 72:[36, 4, 5, 49], Operations: []
Exploring Operation: 36-5=31, Resulting Numbers: [4, 49, 31]
Generated Node #2: [4, 49, 31] from Operation: 36-5=31
Current State: 72:[4, 49, 31], Operations: ['36-5=31']
Exploring Operation: 49-31=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 49-31=18
Current State: 72:[4, 18], Operations: ['36-5=31', '49-31=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
53,
53,
67,
29
] | 68 | [
"53+53=106",
"67-29=38",
"106-38=68"
] | Current State: 68:[53, 53, 67, 29], Operations: []
Exploring Operation: 53+53=106, Resulting Numbers: [67, 29, 106]
Generated Node #2: [67, 29, 106] from Operation: 53+53=106
Current State: 68:[67, 29, 106], Operations: ['53+53=106']
Exploring Operation: 67-29=38, Resulting Numbers: [106, 38]
Generated Node #3: [106, 38] from Operation: 67-29=38
Current State: 68:[106, 38], Operations: ['53+53=106', '67-29=38']
Exploring Operation: 106-38=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
57,
6,
4,
41
] | 40 | [
"57-6=51",
"51-41=10",
"4*10=40"
] | Current State: 40:[57, 6, 4, 41], Operations: []
Exploring Operation: 57-6=51, Resulting Numbers: [4, 41, 51]
Generated Node #2: [4, 41, 51] from Operation: 57-6=51
Current State: 40:[4, 41, 51], Operations: ['57-6=51']
Exploring Operation: 51-41=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 51-41=10
Current State: 40:[4, 10], Operations: ['57-6=51', '51-41=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
49,
5,
8,
7
] | 42 | [
"5+8=13",
"7*13=91",
"91-49=42"
] | Current State: 42:[49, 5, 8, 7], Operations: []
Exploring Operation: 5+8=13, Resulting Numbers: [49, 7, 13]
Generated Node #2: [49, 7, 13] from Operation: 5+8=13
Current State: 42:[49, 7, 13], Operations: ['5+8=13']
Exploring Operation: 7*13=91, Resulting Numbers: [49, 91]
Generated Node #3: [49, 91] from Operation: 7*13=91
Current State: 42:[49, 91], Operations: ['5+8=13', '7*13=91']
Exploring Operation: 91-49=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
26,
42,
6,
31
] | 21 | [
"42-26=16",
"6+31=37",
"37-16=21"
] | Current State: 21:[26, 42, 6, 31], Operations: []
Exploring Operation: 42-26=16, Resulting Numbers: [6, 31, 16]
Generated Node #2: [6, 31, 16] from Operation: 42-26=16
Current State: 21:[6, 31, 16], Operations: ['42-26=16']
Exploring Operation: 6+31=37, Resulting Numbers: [16, 37]
Generated Node #3: [16, 37] from Operation: 6+31=37
Current State: 21:[16, 37], Operations: ['42-26=16', '6+31=37']
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
15,
70,
95,
65
] | 55 | [
"15+70=85",
"95-65=30",
"85-30=55"
] | Current State: 55:[15, 70, 95, 65], Operations: []
Exploring Operation: 15+70=85, Resulting Numbers: [95, 65, 85]
Generated Node #2: [95, 65, 85] from Operation: 15+70=85
Current State: 55:[95, 65, 85], Operations: ['15+70=85']
Exploring Operation: 95-65=30, Resulting Numbers: [85, 30]
Generated Node #3: [85, 30] from Operation: 95-65=30
Current State: 55:[85, 30], Operations: ['15+70=85', '95-65=30']
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
82,
15,
3,
54
] | 79 | [
"82+15=97",
"54/3=18",
"97-18=79"
] | Current State: 79:[82, 15, 3, 54], Operations: []
Exploring Operation: 82+15=97, Resulting Numbers: [3, 54, 97]
Generated Node #2: [3, 54, 97] from Operation: 82+15=97
Current State: 79:[3, 54, 97], Operations: ['82+15=97']
Exploring Operation: 54/3=18, Resulting Numbers: [97, 18]
Generated Node #3: [97, 18] from Operation: 54/3=18
Current State: 79:[97, 18], Operations: ['82+15=97', '54/3=18']
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
11,
22,
7,
98
] | 42 | [
"22/11=2",
"98/2=49",
"49-7=42"
] | Current State: 42:[11, 22, 7, 98], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [7, 98, 2]
Generated Node #2: [7, 98, 2] from Operation: 22/11=2
Current State: 42:[7, 98, 2], Operations: ['22/11=2']
Exploring Operation: 98/2=49, Resulting Numbers: [7, 49]
Generated Node #3: [7, 49] from Operation: 98/2=49
Current State: 42:[7, 49], Operations: ['22/11=2', '98/2=49']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
68,
87,
19,
96
] | 97 | [
"87-68=19",
"19/19=1",
"96+1=97"
] | Current State: 97:[68, 87, 19, 96], Operations: []
Exploring Operation: 87-68=19, Resulting Numbers: [19, 96, 19]
Generated Node #2: [19, 96, 19] from Operation: 87-68=19
Current State: 97:[19, 96, 19], Operations: ['87-68=19']
Exploring Operation: 19/19=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 19/19=1
Current State: 97:[96, 1], Operations: ['87-68=19', '19/19=1']
Exploring Operation: 96+1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
44,
20,
3,
41
] | 29 | [
"44-41=3",
"3*3=9",
"20+9=29"
] | Current State: 29:[44, 20, 3, 41], Operations: []
Exploring Operation: 44-41=3, Resulting Numbers: [20, 3, 3]
Generated Node #2: [20, 3, 3] from Operation: 44-41=3
Current State: 29:[20, 3, 3], Operations: ['44-41=3']
Exploring Operation: 3*3=9, Resulting Numbers: [20, 9]
Generated Node #3: [20, 9] from Operation: 3*3=9
Current State: 29:[20, 9], Operations: ['44-41=3', '3*3=9']
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
68,
40,
78,
20
] | 38 | [
"78-68=10",
"20/10=2",
"40-2=38"
] | Current State: 38:[68, 40, 78, 20], Operations: []
Exploring Operation: 78-68=10, Resulting Numbers: [40, 20, 10]
Generated Node #2: [40, 20, 10] from Operation: 78-68=10
Current State: 38:[40, 20, 10], Operations: ['78-68=10']
Exploring Operation: 20/10=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 20/10=2
Current State: 38:[40, 2], Operations: ['78-68=10', '20/10=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
47,
61,
62,
10
] | 17 | [
"47+61=108",
"62+108=170",
"170/10=17"
] | Current State: 17:[47, 61, 62, 10], Operations: []
Exploring Operation: 47+61=108, Resulting Numbers: [62, 10, 108]
Generated Node #2: [62, 10, 108] from Operation: 47+61=108
Current State: 17:[62, 10, 108], Operations: ['47+61=108']
Exploring Operation: 62+108=170, Resulting Numbers: [10, 170]
Generated Node #3: [10, 170] from Operation: 62+108=170
Current State: 17:[10, 170], Operations: ['47+61=108', '62+108=170']
Exploring Operation: 170/10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
92,
14,
9,
28
] | 69 | [
"92+14=106",
"9+28=37",
"106-37=69"
] | Current State: 69:[92, 14, 9, 28], Operations: []
Exploring Operation: 92+14=106, Resulting Numbers: [9, 28, 106]
Generated Node #2: [9, 28, 106] from Operation: 92+14=106
Current State: 69:[9, 28, 106], Operations: ['92+14=106']
Exploring Operation: 9+28=37, Resulting Numbers: [106, 37]
Generated Node #3: [106, 37] from Operation: 9+28=37
Current State: 69:[106, 37], Operations: ['92+14=106', '9+28=37']
Exploring Operation: 106-37=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
52,
96,
25,
17
] | 86 | [
"96-52=44",
"25+17=42",
"44+42=86"
] | Current State: 86:[52, 96, 25, 17], Operations: []
Exploring Operation: 96-52=44, Resulting Numbers: [25, 17, 44]
Generated Node #2: [25, 17, 44] from Operation: 96-52=44
Current State: 86:[25, 17, 44], Operations: ['96-52=44']
Exploring Operation: 25+17=42, Resulting Numbers: [44, 42]
Generated Node #3: [44, 42] from Operation: 25+17=42
Current State: 86:[44, 42], Operations: ['96-52=44', '25+17=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
35,
85,
87,
98
] | 39 | [
"85-35=50",
"98-87=11",
"50-11=39"
] | Current State: 39:[35, 85, 87, 98], Operations: []
Exploring Operation: 85-35=50, Resulting Numbers: [87, 98, 50]
Generated Node #2: [87, 98, 50] from Operation: 85-35=50
Current State: 39:[87, 98, 50], Operations: ['85-35=50']
Exploring Operation: 98-87=11, Resulting Numbers: [50, 11]
Generated Node #3: [50, 11] from Operation: 98-87=11
Current State: 39:[50, 11], Operations: ['85-35=50', '98-87=11']
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
13,
75,
4,
93
] | 29 | [
"75+93=168",
"168/4=42",
"42-13=29"
] | Current State: 29:[13, 75, 4, 93], Operations: []
Exploring Operation: 75+93=168, Resulting Numbers: [13, 4, 168]
Generated Node #2: [13, 4, 168] from Operation: 75+93=168
Current State: 29:[13, 4, 168], Operations: ['75+93=168']
Exploring Operation: 168/4=42, Resulting Numbers: [13, 42]
Generated Node #3: [13, 42] from Operation: 168/4=42
Current State: 29:[13, 42], Operations: ['75+93=168', '168/4=42']
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
50,
17,
40,
3
] | 81 | [
"50+17=67",
"67-40=27",
"3*27=81"
] | Current State: 81:[50, 17, 40, 3], Operations: []
Exploring Operation: 50+17=67, Resulting Numbers: [40, 3, 67]
Generated Node #2: [40, 3, 67] from Operation: 50+17=67
Current State: 81:[40, 3, 67], Operations: ['50+17=67']
Exploring Operation: 67-40=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 67-40=27
Current State: 81:[3, 27], Operations: ['50+17=67', '67-40=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
12,
35,
69,
46
] | 43 | [
"35-12=23",
"69/23=3",
"46-3=43"
] | Current State: 43:[12, 35, 69, 46], Operations: []
Exploring Operation: 35-12=23, Resulting Numbers: [69, 46, 23]
Generated Node #2: [69, 46, 23] from Operation: 35-12=23
Current State: 43:[69, 46, 23], Operations: ['35-12=23']
Exploring Operation: 69/23=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 69/23=3
Current State: 43:[46, 3], Operations: ['35-12=23', '69/23=3']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
9,
70,
65,
2
] | 51 | [
"9+70=79",
"65*2=130",
"130-79=51"
] | Current State: 51:[9, 70, 65, 2], Operations: []
Exploring Operation: 9+70=79, Resulting Numbers: [65, 2, 79]
Generated Node #2: [65, 2, 79] from Operation: 9+70=79
Current State: 51:[65, 2, 79], Operations: ['9+70=79']
Exploring Operation: 65*2=130, Resulting Numbers: [79, 130]
Generated Node #3: [79, 130] from Operation: 65*2=130
Current State: 51:[79, 130], Operations: ['9+70=79', '65*2=130']
Exploring Operation: 130-79=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
95,
97,
91,
27
] | 32 | [
"97-95=2",
"91-27=64",
"64/2=32"
] | Current State: 32:[95, 97, 91, 27], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [91, 27, 2]
Generated Node #2: [91, 27, 2] from Operation: 97-95=2
Current State: 32:[91, 27, 2], Operations: ['97-95=2']
Exploring Operation: 91-27=64, Resulting Numbers: [2, 64]
Generated Node #3: [2, 64] from Operation: 91-27=64
Current State: 32:[2, 64], Operations: ['97-95=2', '91-27=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
37,
59,
8,
35
] | 68 | [
"37+35=72",
"72/8=9",
"59+9=68"
] | Current State: 68:[37, 59, 8, 35], Operations: []
Exploring Operation: 37+35=72, Resulting Numbers: [59, 8, 72]
Generated Node #2: [59, 8, 72] from Operation: 37+35=72
Current State: 68:[59, 8, 72], Operations: ['37+35=72']
Exploring Operation: 72/8=9, Resulting Numbers: [59, 9]
Generated Node #3: [59, 9] from Operation: 72/8=9
Current State: 68:[59, 9], Operations: ['37+35=72', '72/8=9']
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
3,
15,
12,
33
] | 93 | [
"15/3=5",
"12*5=60",
"33+60=93"
] | Current State: 93:[3, 15, 12, 33], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [12, 33, 5]
Generated Node #2: [12, 33, 5] from Operation: 15/3=5
Current State: 93:[12, 33, 5], Operations: ['15/3=5']
Exploring Operation: 12*5=60, Resulting Numbers: [33, 60]
Generated Node #3: [33, 60] from Operation: 12*5=60
Current State: 93:[33, 60], Operations: ['15/3=5', '12*5=60']
Exploring Operation: 33+60=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
25,
37,
36,
61
] | 62 | [
"37*61=2257",
"2257-25=2232",
"2232/36=62"
] | Current State: 62:[25, 37, 36, 61], Operations: []
Exploring Operation: 37*61=2257, Resulting Numbers: [25, 36, 2257]
Generated Node #2: [25, 36, 2257] from Operation: 37*61=2257
Current State: 62:[25, 36, 2257], Operations: ['37*61=2257']
Exploring Operation: 2257-25=2232, Resulting Numbers: [36, 2232]
Generated Node #3: [36, 2232] from Operation: 2257-25=2232
Current State: 62:[36, 2232], Operations: ['37*61=2257', '2257-25=2232']
Exploring Operation: 2232/36=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
93,
42,
2,
3
] | 59 | [
"42*2=84",
"93+84=177",
"177/3=59"
] | Current State: 59:[93, 42, 2, 3], Operations: []
Exploring Operation: 42*2=84, Resulting Numbers: [93, 3, 84]
Generated Node #2: [93, 3, 84] from Operation: 42*2=84
Current State: 59:[93, 3, 84], Operations: ['42*2=84']
Exploring Operation: 93+84=177, Resulting Numbers: [3, 177]
Generated Node #3: [3, 177] from Operation: 93+84=177
Current State: 59:[3, 177], Operations: ['42*2=84', '93+84=177']
Exploring Operation: 177/3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
12,
65,
29,
76
] | 29 | [
"12+65=77",
"77-76=1",
"29*1=29"
] | Current State: 29:[12, 65, 29, 76], Operations: []
Exploring Operation: 12+65=77, Resulting Numbers: [29, 76, 77]
Generated Node #2: [29, 76, 77] from Operation: 12+65=77
Current State: 29:[29, 76, 77], Operations: ['12+65=77']
Exploring Operation: 77-76=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 77-76=1
Current State: 29:[29, 1], Operations: ['12+65=77', '77-76=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
51,
7,
11,
71
] | 63 | [
"51+11=62",
"71-62=9",
"7*9=63"
] | Current State: 63:[51, 7, 11, 71], Operations: []
Exploring Operation: 51+11=62, Resulting Numbers: [7, 71, 62]
Generated Node #2: [7, 71, 62] from Operation: 51+11=62
Current State: 63:[7, 71, 62], Operations: ['51+11=62']
Exploring Operation: 71-62=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 71-62=9
Current State: 63:[7, 9], Operations: ['51+11=62', '71-62=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
12,
82,
7,
66
] | 56 | [
"82-12=70",
"70/7=10",
"66-10=56"
] | Current State: 56:[12, 82, 7, 66], Operations: []
Exploring Operation: 82-12=70, Resulting Numbers: [7, 66, 70]
Generated Node #2: [7, 66, 70] from Operation: 82-12=70
Current State: 56:[7, 66, 70], Operations: ['82-12=70']
Exploring Operation: 70/7=10, Resulting Numbers: [66, 10]
Generated Node #3: [66, 10] from Operation: 70/7=10
Current State: 56:[66, 10], Operations: ['82-12=70', '70/7=10']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
3,
71,
15,
8
] | 26 | [
"71+15=86",
"86-8=78",
"78/3=26"
] | Current State: 26:[3, 71, 15, 8], Operations: []
Exploring Operation: 71+15=86, Resulting Numbers: [3, 8, 86]
Generated Node #2: [3, 8, 86] from Operation: 71+15=86
Current State: 26:[3, 8, 86], Operations: ['71+15=86']
Exploring Operation: 86-8=78, Resulting Numbers: [3, 78]
Generated Node #3: [3, 78] from Operation: 86-8=78
Current State: 26:[3, 78], Operations: ['71+15=86', '86-8=78']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
80,
22,
87,
30
] | 77 | [
"30-22=8",
"80/8=10",
"87-10=77"
] | Current State: 77:[80, 22, 87, 30], Operations: []
Exploring Operation: 30-22=8, Resulting Numbers: [80, 87, 8]
Generated Node #2: [80, 87, 8] from Operation: 30-22=8
Current State: 77:[80, 87, 8], Operations: ['30-22=8']
Exploring Operation: 80/8=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 80/8=10
Current State: 77:[87, 10], Operations: ['30-22=8', '80/8=10']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
61,
41,
63,
73
] | 92 | [
"61+41=102",
"73-63=10",
"102-10=92"
] | Current State: 92:[61, 41, 63, 73], Operations: []
Exploring Operation: 61+41=102, Resulting Numbers: [63, 73, 102]
Generated Node #2: [63, 73, 102] from Operation: 61+41=102
Current State: 92:[63, 73, 102], Operations: ['61+41=102']
Exploring Operation: 73-63=10, Resulting Numbers: [102, 10]
Generated Node #3: [102, 10] from Operation: 73-63=10
Current State: 92:[102, 10], Operations: ['61+41=102', '73-63=10']
Exploring Operation: 102-10=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
20,
80,
69,
77
] | 92 | [
"20+80=100",
"77-69=8",
"100-8=92"
] | Current State: 92:[20, 80, 69, 77], Operations: []
Exploring Operation: 20+80=100, Resulting Numbers: [69, 77, 100]
Generated Node #2: [69, 77, 100] from Operation: 20+80=100
Current State: 92:[69, 77, 100], Operations: ['20+80=100']
Exploring Operation: 77-69=8, Resulting Numbers: [100, 8]
Generated Node #3: [100, 8] from Operation: 77-69=8
Current State: 92:[100, 8], Operations: ['20+80=100', '77-69=8']
Exploring Operation: 100-8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
38,
11,
25,
77
] | 91 | [
"38-25=13",
"77/11=7",
"13*7=91"
] | Current State: 91:[38, 11, 25, 77], Operations: []
Exploring Operation: 38-25=13, Resulting Numbers: [11, 77, 13]
Generated Node #2: [11, 77, 13] from Operation: 38-25=13
Current State: 91:[11, 77, 13], Operations: ['38-25=13']
Exploring Operation: 77/11=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 77/11=7
Current State: 91:[13, 7], Operations: ['38-25=13', '77/11=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
96,
35,
38,
36
] | 58 | [
"96-38=58",
"36-35=1",
"58*1=58"
] | Current State: 58:[96, 35, 38, 36], Operations: []
Exploring Operation: 96-38=58, Resulting Numbers: [35, 36, 58]
Generated Node #2: [35, 36, 58] from Operation: 96-38=58
Current State: 58:[35, 36, 58], Operations: ['96-38=58']
Exploring Operation: 36-35=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 36-35=1
Current State: 58:[58, 1], Operations: ['96-38=58', '36-35=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
94,
44,
46,
5
] | 72 | [
"94+46=140",
"140/5=28",
"44+28=72"
] | Current State: 72:[94, 44, 46, 5], Operations: []
Exploring Operation: 94+46=140, Resulting Numbers: [44, 5, 140]
Generated Node #2: [44, 5, 140] from Operation: 94+46=140
Current State: 72:[44, 5, 140], Operations: ['94+46=140']
Exploring Operation: 140/5=28, Resulting Numbers: [44, 28]
Generated Node #3: [44, 28] from Operation: 140/5=28
Current State: 72:[44, 28], Operations: ['94+46=140', '140/5=28']
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
10,
96,
59,
75
] | 15 | [
"10*96=960",
"960-75=885",
"885/59=15"
] | Current State: 15:[10, 96, 59, 75], Operations: []
Exploring Operation: 10*96=960, Resulting Numbers: [59, 75, 960]
Generated Node #2: [59, 75, 960] from Operation: 10*96=960
Current State: 15:[59, 75, 960], Operations: ['10*96=960']
Exploring Operation: 960-75=885, Resulting Numbers: [59, 885]
Generated Node #3: [59, 885] from Operation: 960-75=885
Current State: 15:[59, 885], Operations: ['10*96=960', '960-75=885']
Exploring Operation: 885/59=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
4,
84,
70,
37
] | 27 | [
"84-4=80",
"70+37=107",
"107-80=27"
] | Current State: 27:[4, 84, 70, 37], Operations: []
Exploring Operation: 84-4=80, Resulting Numbers: [70, 37, 80]
Generated Node #2: [70, 37, 80] from Operation: 84-4=80
Current State: 27:[70, 37, 80], Operations: ['84-4=80']
Exploring Operation: 70+37=107, Resulting Numbers: [80, 107]
Generated Node #3: [80, 107] from Operation: 70+37=107
Current State: 27:[80, 107], Operations: ['84-4=80', '70+37=107']
Exploring Operation: 107-80=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
66,
15,
4,
91
] | 36 | [
"66-15=51",
"91-4=87",
"87-51=36"
] | Current State: 36:[66, 15, 4, 91], Operations: []
Exploring Operation: 66-15=51, Resulting Numbers: [4, 91, 51]
Generated Node #2: [4, 91, 51] from Operation: 66-15=51
Current State: 36:[4, 91, 51], Operations: ['66-15=51']
Exploring Operation: 91-4=87, Resulting Numbers: [51, 87]
Generated Node #3: [51, 87] from Operation: 91-4=87
Current State: 36:[51, 87], Operations: ['66-15=51', '91-4=87']
Exploring Operation: 87-51=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
1,
68,
38,
91
] | 14 | [
"68-1=67",
"91-38=53",
"67-53=14"
] | Current State: 14:[1, 68, 38, 91], Operations: []
Exploring Operation: 68-1=67, Resulting Numbers: [38, 91, 67]
Generated Node #2: [38, 91, 67] from Operation: 68-1=67
Current State: 14:[38, 91, 67], Operations: ['68-1=67']
Exploring Operation: 91-38=53, Resulting Numbers: [67, 53]
Generated Node #3: [67, 53] from Operation: 91-38=53
Current State: 14:[67, 53], Operations: ['68-1=67', '91-38=53']
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
24,
79,
92,
39
] | 76 | [
"79-24=55",
"92+39=131",
"131-55=76"
] | Current State: 76:[24, 79, 92, 39], Operations: []
Exploring Operation: 79-24=55, Resulting Numbers: [92, 39, 55]
Generated Node #2: [92, 39, 55] from Operation: 79-24=55
Current State: 76:[92, 39, 55], Operations: ['79-24=55']
Exploring Operation: 92+39=131, Resulting Numbers: [55, 131]
Generated Node #3: [55, 131] from Operation: 92+39=131
Current State: 76:[55, 131], Operations: ['79-24=55', '92+39=131']
Exploring Operation: 131-55=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
38,
7,
42,
19
] | 92 | [
"38-7=31",
"42+19=61",
"31+61=92"
] | Current State: 92:[38, 7, 42, 19], Operations: []
Exploring Operation: 38-7=31, Resulting Numbers: [42, 19, 31]
Generated Node #2: [42, 19, 31] from Operation: 38-7=31
Current State: 92:[42, 19, 31], Operations: ['38-7=31']
Exploring Operation: 42+19=61, Resulting Numbers: [31, 61]
Generated Node #3: [31, 61] from Operation: 42+19=61
Current State: 92:[31, 61], Operations: ['38-7=31', '42+19=61']
Exploring Operation: 31+61=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
98,
91,
90,
21
] | 81 | [
"98+91=189",
"189/21=9",
"90-9=81"
] | Current State: 81:[98, 91, 90, 21], Operations: []
Exploring Operation: 98+91=189, Resulting Numbers: [90, 21, 189]
Generated Node #2: [90, 21, 189] from Operation: 98+91=189
Current State: 81:[90, 21, 189], Operations: ['98+91=189']
Exploring Operation: 189/21=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 189/21=9
Current State: 81:[90, 9], Operations: ['98+91=189', '189/21=9']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
5,
33,
69,
32
] | 75 | [
"5+33=38",
"69-32=37",
"38+37=75"
] | Current State: 75:[5, 33, 69, 32], Operations: []
Exploring Operation: 5+33=38, Resulting Numbers: [69, 32, 38]
Generated Node #2: [69, 32, 38] from Operation: 5+33=38
Current State: 75:[69, 32, 38], Operations: ['5+33=38']
Exploring Operation: 69-32=37, Resulting Numbers: [38, 37]
Generated Node #3: [38, 37] from Operation: 69-32=37
Current State: 75:[38, 37], Operations: ['5+33=38', '69-32=37']
Exploring Operation: 38+37=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
88,
6,
40,
44
] | 68 | [
"88/44=2",
"40-6=34",
"2*34=68"
] | Current State: 68:[88, 6, 40, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [6, 40, 2]
Generated Node #2: [6, 40, 2] from Operation: 88/44=2
Current State: 68:[6, 40, 2], Operations: ['88/44=2']
Exploring Operation: 40-6=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 40-6=34
Current State: 68:[2, 34], Operations: ['88/44=2', '40-6=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
1,
39,
34,
51
] | 10 | [
"51-1=50",
"39-34=5",
"50/5=10"
] | Current State: 10:[1, 39, 34, 51], Operations: []
Exploring Operation: 51-1=50, Resulting Numbers: [39, 34, 50]
Generated Node #2: [39, 34, 50] from Operation: 51-1=50
Current State: 10:[39, 34, 50], Operations: ['51-1=50']
Exploring Operation: 39-34=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 39-34=5
Current State: 10:[50, 5], Operations: ['51-1=50', '39-34=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
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