nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
19,
79,
14,
94
] | 20 | [
"79-19=60",
"94-14=80",
"80-60=20"
] | Current State: 20:[19, 79, 14, 94], Operations: []
Exploring Operation: 79-19=60, Resulting Numbers: [14, 94, 60]
Generated Node #2: [14, 94, 60] from Operation: 79-19=60
Current State: 20:[14, 94, 60], Operations: ['79-19=60']
Exploring Operation: 94-14=80, Resulting Numbers: [60, 80]
Generated Node #3: [60, 80] from Operation: 94-14=80
Current State: 20:[60, 80], Operations: ['79-19=60', '94-14=80']
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
57,
4,
8,
46
] | 10 | [
"57*8=456",
"4+456=460",
"460/46=10"
] | Current State: 10:[57, 4, 8, 46], Operations: []
Exploring Operation: 57*8=456, Resulting Numbers: [4, 46, 456]
Generated Node #2: [4, 46, 456] from Operation: 57*8=456
Current State: 10:[4, 46, 456], Operations: ['57*8=456']
Exploring Operation: 4+456=460, Resulting Numbers: [46, 460]
Generated Node #3: [46, 460] from Operation: 4+456=460
Current State: 10:[46, 460], Operations: ['57*8=456', '4+456=460']
Exploring Operation: 460/46=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
21,
73,
7,
95
] | 19 | [
"21/7=3",
"95-73=22",
"22-3=19"
] | Current State: 19:[21, 73, 7, 95], Operations: []
Exploring Operation: 21/7=3, Resulting Numbers: [73, 95, 3]
Generated Node #2: [73, 95, 3] from Operation: 21/7=3
Current State: 19:[73, 95, 3], Operations: ['21/7=3']
Exploring Operation: 95-73=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 95-73=22
Current State: 19:[3, 22], Operations: ['21/7=3', '95-73=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
12,
82,
20,
30
] | 74 | [
"12*20=240",
"240/30=8",
"82-8=74"
] | Current State: 74:[12, 82, 20, 30], Operations: []
Exploring Operation: 12*20=240, Resulting Numbers: [82, 30, 240]
Generated Node #2: [82, 30, 240] from Operation: 12*20=240
Current State: 74:[82, 30, 240], Operations: ['12*20=240']
Exploring Operation: 240/30=8, Resulting Numbers: [82, 8]
Generated Node #3: [82, 8] from Operation: 240/30=8
Current State: 74:[82, 8], Operations: ['12*20=240', '240/30=8']
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
62,
36,
14,
7
] | 70 | [
"62*7=434",
"36*14=504",
"504-434=70"
] | Current State: 70:[62, 36, 14, 7], Operations: []
Exploring Operation: 62*7=434, Resulting Numbers: [36, 14, 434]
Generated Node #2: [36, 14, 434] from Operation: 62*7=434
Current State: 70:[36, 14, 434], Operations: ['62*7=434']
Exploring Operation: 36*14=504, Resulting Numbers: [434, 504]
Generated Node #3: [434, 504] from Operation: 36*14=504
Current State: 70:[434, 504], Operations: ['62*7=434', '36*14=504']
Exploring Operation: 504-434=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
12,
89,
20,
99
] | 18 | [
"12+89=101",
"20+99=119",
"119-101=18"
] | Current State: 18:[12, 89, 20, 99], Operations: []
Exploring Operation: 12+89=101, Resulting Numbers: [20, 99, 101]
Generated Node #2: [20, 99, 101] from Operation: 12+89=101
Current State: 18:[20, 99, 101], Operations: ['12+89=101']
Exploring Operation: 20+99=119, Resulting Numbers: [101, 119]
Generated Node #3: [101, 119] from Operation: 20+99=119
Current State: 18:[101, 119], Operations: ['12+89=101', '20+99=119']
Exploring Operation: 119-101=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
52,
86,
18,
4
] | 39 | [
"52+86=138",
"18+138=156",
"156/4=39"
] | Current State: 39:[52, 86, 18, 4], Operations: []
Exploring Operation: 52+86=138, Resulting Numbers: [18, 4, 138]
Generated Node #2: [18, 4, 138] from Operation: 52+86=138
Current State: 39:[18, 4, 138], Operations: ['52+86=138']
Exploring Operation: 18+138=156, Resulting Numbers: [4, 156]
Generated Node #3: [4, 156] from Operation: 18+138=156
Current State: 39:[4, 156], Operations: ['52+86=138', '18+138=156']
Exploring Operation: 156/4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
53,
10,
75,
96
] | 22 | [
"53-10=43",
"96-75=21",
"43-21=22"
] | Current State: 22:[53, 10, 75, 96], Operations: []
Exploring Operation: 53-10=43, Resulting Numbers: [75, 96, 43]
Generated Node #2: [75, 96, 43] from Operation: 53-10=43
Current State: 22:[75, 96, 43], Operations: ['53-10=43']
Exploring Operation: 96-75=21, Resulting Numbers: [43, 21]
Generated Node #3: [43, 21] from Operation: 96-75=21
Current State: 22:[43, 21], Operations: ['53-10=43', '96-75=21']
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
47,
66,
18,
38
] | 36 | [
"66-47=19",
"18*38=684",
"684/19=36"
] | Current State: 36:[47, 66, 18, 38], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [18, 38, 19]
Generated Node #2: [18, 38, 19] from Operation: 66-47=19
Current State: 36:[18, 38, 19], Operations: ['66-47=19']
Exploring Operation: 18*38=684, Resulting Numbers: [19, 684]
Generated Node #3: [19, 684] from Operation: 18*38=684
Current State: 36:[19, 684], Operations: ['66-47=19', '18*38=684']
Exploring Operation: 684/19=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
42,
77,
61,
70
] | 56 | [
"61*70=4270",
"42+4270=4312",
"4312/77=56"
] | Current State: 56:[42, 77, 61, 70], Operations: []
Exploring Operation: 61*70=4270, Resulting Numbers: [42, 77, 4270]
Generated Node #2: [42, 77, 4270] from Operation: 61*70=4270
Current State: 56:[42, 77, 4270], Operations: ['61*70=4270']
Exploring Operation: 42+4270=4312, Resulting Numbers: [77, 4312]
Generated Node #3: [77, 4312] from Operation: 42+4270=4312
Current State: 56:[77, 4312], Operations: ['61*70=4270', '42+4270=4312']
Exploring Operation: 4312/77=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
64,
59,
1,
64
] | 70 | [
"64-59=5",
"1+64=65",
"5+65=70"
] | Current State: 70:[64, 59, 1, 64], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [1, 5]
Generated Node #2: [1, 5] from Operation: 64-59=5
Current State: 70:[1, 5], Operations: ['64-59=5']
Exploring Operation: 1+64=65, Resulting Numbers: [5, 65]
Generated Node #3: [5, 65] from Operation: 1+64=65
Current State: 70:[5, 65], Operations: ['64-59=5', '1+64=65']
Exploring Operation: 5+65=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
45,
18,
57,
53
] | 44 | [
"57+53=110",
"18*110=1980",
"1980/45=44"
] | Current State: 44:[45, 18, 57, 53], Operations: []
Exploring Operation: 57+53=110, Resulting Numbers: [45, 18, 110]
Generated Node #2: [45, 18, 110] from Operation: 57+53=110
Current State: 44:[45, 18, 110], Operations: ['57+53=110']
Exploring Operation: 18*110=1980, Resulting Numbers: [45, 1980]
Generated Node #3: [45, 1980] from Operation: 18*110=1980
Current State: 44:[45, 1980], Operations: ['57+53=110', '18*110=1980']
Exploring Operation: 1980/45=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
10,
25,
30,
2
] | 44 | [
"30/10=3",
"25-3=22",
"2*22=44"
] | Current State: 44:[10, 25, 30, 2], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [25, 2, 3]
Generated Node #2: [25, 2, 3] from Operation: 30/10=3
Current State: 44:[25, 2, 3], Operations: ['30/10=3']
Exploring Operation: 25-3=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 25-3=22
Current State: 44:[2, 22], Operations: ['30/10=3', '25-3=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
16,
11,
52,
44
] | 56 | [
"16*11=176",
"176/44=4",
"52+4=56"
] | Current State: 56:[16, 11, 52, 44], Operations: []
Exploring Operation: 16*11=176, Resulting Numbers: [52, 44, 176]
Generated Node #2: [52, 44, 176] from Operation: 16*11=176
Current State: 56:[52, 44, 176], Operations: ['16*11=176']
Exploring Operation: 176/44=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 176/44=4
Current State: 56:[52, 4], Operations: ['16*11=176', '176/44=4']
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
8,
18,
66,
11
] | 60 | [
"18-8=10",
"66/11=6",
"10*6=60"
] | Current State: 60:[8, 18, 66, 11], Operations: []
Exploring Operation: 18-8=10, Resulting Numbers: [66, 11, 10]
Generated Node #2: [66, 11, 10] from Operation: 18-8=10
Current State: 60:[66, 11, 10], Operations: ['18-8=10']
Exploring Operation: 66/11=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 66/11=6
Current State: 60:[10, 6], Operations: ['18-8=10', '66/11=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
35,
6,
77,
33
] | 89 | [
"35-33=2",
"6*2=12",
"77+12=89"
] | Current State: 89:[35, 6, 77, 33], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [6, 77, 2]
Generated Node #2: [6, 77, 2] from Operation: 35-33=2
Current State: 89:[6, 77, 2], Operations: ['35-33=2']
Exploring Operation: 6*2=12, Resulting Numbers: [77, 12]
Generated Node #3: [77, 12] from Operation: 6*2=12
Current State: 89:[77, 12], Operations: ['35-33=2', '6*2=12']
Exploring Operation: 77+12=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
76,
42,
2,
12
] | 68 | [
"76/2=38",
"42-12=30",
"38+30=68"
] | Current State: 68:[76, 42, 2, 12], Operations: []
Exploring Operation: 76/2=38, Resulting Numbers: [42, 12, 38]
Generated Node #2: [42, 12, 38] from Operation: 76/2=38
Current State: 68:[42, 12, 38], Operations: ['76/2=38']
Exploring Operation: 42-12=30, Resulting Numbers: [38, 30]
Generated Node #3: [38, 30] from Operation: 42-12=30
Current State: 68:[38, 30], Operations: ['76/2=38', '42-12=30']
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
92,
74,
88,
15
] | 55 | [
"92-74=18",
"88-15=73",
"73-18=55"
] | Current State: 55:[92, 74, 88, 15], Operations: []
Exploring Operation: 92-74=18, Resulting Numbers: [88, 15, 18]
Generated Node #2: [88, 15, 18] from Operation: 92-74=18
Current State: 55:[88, 15, 18], Operations: ['92-74=18']
Exploring Operation: 88-15=73, Resulting Numbers: [18, 73]
Generated Node #3: [18, 73] from Operation: 88-15=73
Current State: 55:[18, 73], Operations: ['92-74=18', '88-15=73']
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
30,
5,
96,
95
] | 36 | [
"30+5=35",
"96-95=1",
"35+1=36"
] | Current State: 36:[30, 5, 96, 95], Operations: []
Exploring Operation: 30+5=35, Resulting Numbers: [96, 95, 35]
Generated Node #2: [96, 95, 35] from Operation: 30+5=35
Current State: 36:[96, 95, 35], Operations: ['30+5=35']
Exploring Operation: 96-95=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 96-95=1
Current State: 36:[35, 1], Operations: ['30+5=35', '96-95=1']
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
4,
84,
20,
66
] | 66 | [
"84/4=21",
"21-20=1",
"66*1=66"
] | Current State: 66:[4, 84, 20, 66], Operations: []
Exploring Operation: 84/4=21, Resulting Numbers: [20, 66, 21]
Generated Node #2: [20, 66, 21] from Operation: 84/4=21
Current State: 66:[20, 66, 21], Operations: ['84/4=21']
Exploring Operation: 21-20=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 21-20=1
Current State: 66:[66, 1], Operations: ['84/4=21', '21-20=1']
Exploring Operation: 66*1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
40,
42,
31,
11
] | 21 | [
"42-40=2",
"31+11=42",
"42/2=21"
] | Current State: 21:[40, 42, 31, 11], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [31, 11, 2]
Generated Node #2: [31, 11, 2] from Operation: 42-40=2
Current State: 21:[31, 11, 2], Operations: ['42-40=2']
Exploring Operation: 31+11=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 31+11=42
Current State: 21:[2, 42], Operations: ['42-40=2', '31+11=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
31,
9,
91,
95
] | 93 | [
"31*9=279",
"91+95=186",
"279-186=93"
] | Current State: 93:[31, 9, 91, 95], Operations: []
Exploring Operation: 31*9=279, Resulting Numbers: [91, 95, 279]
Generated Node #2: [91, 95, 279] from Operation: 31*9=279
Current State: 93:[91, 95, 279], Operations: ['31*9=279']
Exploring Operation: 91+95=186, Resulting Numbers: [279, 186]
Generated Node #3: [279, 186] from Operation: 91+95=186
Current State: 93:[279, 186], Operations: ['31*9=279', '91+95=186']
Exploring Operation: 279-186=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
8,
78,
10,
12
] | 82 | [
"12-10=2",
"8/2=4",
"78+4=82"
] | Current State: 82:[8, 78, 10, 12], Operations: []
Exploring Operation: 12-10=2, Resulting Numbers: [8, 78, 2]
Generated Node #2: [8, 78, 2] from Operation: 12-10=2
Current State: 82:[8, 78, 2], Operations: ['12-10=2']
Exploring Operation: 8/2=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 8/2=4
Current State: 82:[78, 4], Operations: ['12-10=2', '8/2=4']
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
79,
10,
48,
50
] | 59 | [
"50-48=2",
"10*2=20",
"79-20=59"
] | Current State: 59:[79, 10, 48, 50], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [79, 10, 2]
Generated Node #2: [79, 10, 2] from Operation: 50-48=2
Current State: 59:[79, 10, 2], Operations: ['50-48=2']
Exploring Operation: 10*2=20, Resulting Numbers: [79, 20]
Generated Node #3: [79, 20] from Operation: 10*2=20
Current State: 59:[79, 20], Operations: ['50-48=2', '10*2=20']
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
45,
30,
9,
66
] | 49 | [
"66-30=36",
"36/9=4",
"45+4=49"
] | Current State: 49:[45, 30, 9, 66], Operations: []
Exploring Operation: 66-30=36, Resulting Numbers: [45, 9, 36]
Generated Node #2: [45, 9, 36] from Operation: 66-30=36
Current State: 49:[45, 9, 36], Operations: ['66-30=36']
Exploring Operation: 36/9=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 36/9=4
Current State: 49:[45, 4], Operations: ['66-30=36', '36/9=4']
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
45,
76,
77,
88
] | 56 | [
"45+76=121",
"77*88=6776",
"6776/121=56"
] | Current State: 56:[45, 76, 77, 88], Operations: []
Exploring Operation: 45+76=121, Resulting Numbers: [77, 88, 121]
Generated Node #2: [77, 88, 121] from Operation: 45+76=121
Current State: 56:[77, 88, 121], Operations: ['45+76=121']
Exploring Operation: 77*88=6776, Resulting Numbers: [121, 6776]
Generated Node #3: [121, 6776] from Operation: 77*88=6776
Current State: 56:[121, 6776], Operations: ['45+76=121', '77*88=6776']
Exploring Operation: 6776/121=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
65,
37,
86,
55
] | 59 | [
"65-37=28",
"86-55=31",
"28+31=59"
] | Current State: 59:[65, 37, 86, 55], Operations: []
Exploring Operation: 65-37=28, Resulting Numbers: [86, 55, 28]
Generated Node #2: [86, 55, 28] from Operation: 65-37=28
Current State: 59:[86, 55, 28], Operations: ['65-37=28']
Exploring Operation: 86-55=31, Resulting Numbers: [28, 31]
Generated Node #3: [28, 31] from Operation: 86-55=31
Current State: 59:[28, 31], Operations: ['65-37=28', '86-55=31']
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
6,
7,
27,
4
] | 17 | [
"6-4=2",
"7+27=34",
"34/2=17"
] | Current State: 17:[6, 7, 27, 4], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [7, 27, 2]
Generated Node #2: [7, 27, 2] from Operation: 6-4=2
Current State: 17:[7, 27, 2], Operations: ['6-4=2']
Exploring Operation: 7+27=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 7+27=34
Current State: 17:[2, 34], Operations: ['6-4=2', '7+27=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
43,
48,
3,
9
] | 24 | [
"48-43=5",
"3*5=15",
"9+15=24"
] | Current State: 24:[43, 48, 3, 9], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [3, 9, 5]
Generated Node #2: [3, 9, 5] from Operation: 48-43=5
Current State: 24:[3, 9, 5], Operations: ['48-43=5']
Exploring Operation: 3*5=15, Resulting Numbers: [9, 15]
Generated Node #3: [9, 15] from Operation: 3*5=15
Current State: 24:[9, 15], Operations: ['48-43=5', '3*5=15']
Exploring Operation: 9+15=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
89,
32,
41,
64
] | 50 | [
"89-41=48",
"64/32=2",
"48+2=50"
] | Current State: 50:[89, 32, 41, 64], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [32, 64, 48]
Generated Node #2: [32, 64, 48] from Operation: 89-41=48
Current State: 50:[32, 64, 48], Operations: ['89-41=48']
Exploring Operation: 64/32=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 64/32=2
Current State: 50:[48, 2], Operations: ['89-41=48', '64/32=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
75,
22,
58,
24
] | 15 | [
"75+22=97",
"58+24=82",
"97-82=15"
] | Current State: 15:[75, 22, 58, 24], Operations: []
Exploring Operation: 75+22=97, Resulting Numbers: [58, 24, 97]
Generated Node #2: [58, 24, 97] from Operation: 75+22=97
Current State: 15:[58, 24, 97], Operations: ['75+22=97']
Exploring Operation: 58+24=82, Resulting Numbers: [97, 82]
Generated Node #3: [97, 82] from Operation: 58+24=82
Current State: 15:[97, 82], Operations: ['75+22=97', '58+24=82']
Exploring Operation: 97-82=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
48,
12,
15,
76
] | 57 | [
"48/12=4",
"76-15=61",
"61-4=57"
] | Current State: 57:[48, 12, 15, 76], Operations: []
Exploring Operation: 48/12=4, Resulting Numbers: [15, 76, 4]
Generated Node #2: [15, 76, 4] from Operation: 48/12=4
Current State: 57:[15, 76, 4], Operations: ['48/12=4']
Exploring Operation: 76-15=61, Resulting Numbers: [4, 61]
Generated Node #3: [4, 61] from Operation: 76-15=61
Current State: 57:[4, 61], Operations: ['48/12=4', '76-15=61']
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
1,
48,
73,
31
] | 89 | [
"48-1=47",
"73-31=42",
"47+42=89"
] | Current State: 89:[1, 48, 73, 31], Operations: []
Exploring Operation: 48-1=47, Resulting Numbers: [73, 31, 47]
Generated Node #2: [73, 31, 47] from Operation: 48-1=47
Current State: 89:[73, 31, 47], Operations: ['48-1=47']
Exploring Operation: 73-31=42, Resulting Numbers: [47, 42]
Generated Node #3: [47, 42] from Operation: 73-31=42
Current State: 89:[47, 42], Operations: ['48-1=47', '73-31=42']
Exploring Operation: 47+42=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
82,
50,
33,
60
] | 60 | [
"82-50=32",
"33-32=1",
"60*1=60"
] | Current State: 60:[82, 50, 33, 60], Operations: []
Exploring Operation: 82-50=32, Resulting Numbers: [33, 60, 32]
Generated Node #2: [33, 60, 32] from Operation: 82-50=32
Current State: 60:[33, 60, 32], Operations: ['82-50=32']
Exploring Operation: 33-32=1, Resulting Numbers: [60, 1]
Generated Node #3: [60, 1] from Operation: 33-32=1
Current State: 60:[60, 1], Operations: ['82-50=32', '33-32=1']
Exploring Operation: 60*1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
18,
74,
39,
7
] | 77 | [
"39-18=21",
"21/7=3",
"74+3=77"
] | Current State: 77:[18, 74, 39, 7], Operations: []
Exploring Operation: 39-18=21, Resulting Numbers: [74, 7, 21]
Generated Node #2: [74, 7, 21] from Operation: 39-18=21
Current State: 77:[74, 7, 21], Operations: ['39-18=21']
Exploring Operation: 21/7=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 21/7=3
Current State: 77:[74, 3], Operations: ['39-18=21', '21/7=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
8,
24,
21,
9
] | 63 | [
"24/8=3",
"21*9=189",
"189/3=63"
] | Current State: 63:[8, 24, 21, 9], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [21, 9, 3]
Generated Node #2: [21, 9, 3] from Operation: 24/8=3
Current State: 63:[21, 9, 3], Operations: ['24/8=3']
Exploring Operation: 21*9=189, Resulting Numbers: [3, 189]
Generated Node #3: [3, 189] from Operation: 21*9=189
Current State: 63:[3, 189], Operations: ['24/8=3', '21*9=189']
Exploring Operation: 189/3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
3,
9,
95,
41
] | 27 | [
"3*9=27",
"95-41=54",
"54-27=27"
] | Current State: 27:[3, 9, 95, 41], Operations: []
Exploring Operation: 3*9=27, Resulting Numbers: [95, 41, 27]
Generated Node #2: [95, 41, 27] from Operation: 3*9=27
Current State: 27:[95, 41, 27], Operations: ['3*9=27']
Exploring Operation: 95-41=54, Resulting Numbers: [27, 54]
Generated Node #3: [27, 54] from Operation: 95-41=54
Current State: 27:[27, 54], Operations: ['3*9=27', '95-41=54']
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
33,
26,
24,
11
] | 13 | [
"33-24=9",
"11-9=2",
"26/2=13"
] | Current State: 13:[33, 26, 24, 11], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [26, 11, 9]
Generated Node #2: [26, 11, 9] from Operation: 33-24=9
Current State: 13:[26, 11, 9], Operations: ['33-24=9']
Exploring Operation: 11-9=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 11-9=2
Current State: 13:[26, 2], Operations: ['33-24=9', '11-9=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
92,
69,
35,
28
] | 86 | [
"92-69=23",
"35+28=63",
"23+63=86"
] | Current State: 86:[92, 69, 35, 28], Operations: []
Exploring Operation: 92-69=23, Resulting Numbers: [35, 28, 23]
Generated Node #2: [35, 28, 23] from Operation: 92-69=23
Current State: 86:[35, 28, 23], Operations: ['92-69=23']
Exploring Operation: 35+28=63, Resulting Numbers: [23, 63]
Generated Node #3: [23, 63] from Operation: 35+28=63
Current State: 86:[23, 63], Operations: ['92-69=23', '35+28=63']
Exploring Operation: 23+63=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
12,
33,
25,
3
] | 60 | [
"12+33=45",
"45-25=20",
"3*20=60"
] | Current State: 60:[12, 33, 25, 3], Operations: []
Exploring Operation: 12+33=45, Resulting Numbers: [25, 3, 45]
Generated Node #2: [25, 3, 45] from Operation: 12+33=45
Current State: 60:[25, 3, 45], Operations: ['12+33=45']
Exploring Operation: 45-25=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 45-25=20
Current State: 60:[3, 20], Operations: ['12+33=45', '45-25=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
84,
57,
27,
45
] | 83 | [
"84*45=3780",
"3780/27=140",
"140-57=83"
] | Current State: 83:[84, 57, 27, 45], Operations: []
Exploring Operation: 84*45=3780, Resulting Numbers: [57, 27, 3780]
Generated Node #2: [57, 27, 3780] from Operation: 84*45=3780
Current State: 83:[57, 27, 3780], Operations: ['84*45=3780']
Exploring Operation: 3780/27=140, Resulting Numbers: [57, 140]
Generated Node #3: [57, 140] from Operation: 3780/27=140
Current State: 83:[57, 140], Operations: ['84*45=3780', '3780/27=140']
Exploring Operation: 140-57=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
64,
65,
34,
10
] | 24 | [
"65-64=1",
"34-10=24",
"1*24=24"
] | Current State: 24:[64, 65, 34, 10], Operations: []
Exploring Operation: 65-64=1, Resulting Numbers: [34, 10, 1]
Generated Node #2: [34, 10, 1] from Operation: 65-64=1
Current State: 24:[34, 10, 1], Operations: ['65-64=1']
Exploring Operation: 34-10=24, Resulting Numbers: [1, 24]
Generated Node #3: [1, 24] from Operation: 34-10=24
Current State: 24:[1, 24], Operations: ['65-64=1', '34-10=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
9,
26,
44,
31
] | 11 | [
"9+26=35",
"35-31=4",
"44/4=11"
] | Current State: 11:[9, 26, 44, 31], Operations: []
Exploring Operation: 9+26=35, Resulting Numbers: [44, 31, 35]
Generated Node #2: [44, 31, 35] from Operation: 9+26=35
Current State: 11:[44, 31, 35], Operations: ['9+26=35']
Exploring Operation: 35-31=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 35-31=4
Current State: 11:[44, 4], Operations: ['9+26=35', '35-31=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
15,
26,
77,
64
] | 54 | [
"15+26=41",
"77-64=13",
"41+13=54"
] | Current State: 54:[15, 26, 77, 64], Operations: []
Exploring Operation: 15+26=41, Resulting Numbers: [77, 64, 41]
Generated Node #2: [77, 64, 41] from Operation: 15+26=41
Current State: 54:[77, 64, 41], Operations: ['15+26=41']
Exploring Operation: 77-64=13, Resulting Numbers: [41, 13]
Generated Node #3: [41, 13] from Operation: 77-64=13
Current State: 54:[41, 13], Operations: ['15+26=41', '77-64=13']
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
23,
31,
3,
1
] | 57 | [
"23+31=54",
"3*1=3",
"54+3=57"
] | Current State: 57:[23, 31, 3, 1], Operations: []
Exploring Operation: 23+31=54, Resulting Numbers: [3, 1, 54]
Generated Node #2: [3, 1, 54] from Operation: 23+31=54
Current State: 57:[3, 1, 54], Operations: ['23+31=54']
Exploring Operation: 3*1=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 3*1=3
Current State: 57:[54, 3], Operations: ['23+31=54', '3*1=3']
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
45,
44,
14,
3
] | 10 | [
"45-44=1",
"14-3=11",
"11-1=10"
] | Current State: 10:[45, 44, 14, 3], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [14, 3, 1]
Generated Node #2: [14, 3, 1] from Operation: 45-44=1
Current State: 10:[14, 3, 1], Operations: ['45-44=1']
Exploring Operation: 14-3=11, Resulting Numbers: [1, 11]
Generated Node #3: [1, 11] from Operation: 14-3=11
Current State: 10:[1, 11], Operations: ['45-44=1', '14-3=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
16,
8,
10,
37
] | 17 | [
"16/8=2",
"10*2=20",
"37-20=17"
] | Current State: 17:[16, 8, 10, 37], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [10, 37, 2]
Generated Node #2: [10, 37, 2] from Operation: 16/8=2
Current State: 17:[10, 37, 2], Operations: ['16/8=2']
Exploring Operation: 10*2=20, Resulting Numbers: [37, 20]
Generated Node #3: [37, 20] from Operation: 10*2=20
Current State: 17:[37, 20], Operations: ['16/8=2', '10*2=20']
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
43,
73,
44,
36
] | 50 | [
"73-43=30",
"44+36=80",
"80-30=50"
] | Current State: 50:[43, 73, 44, 36], Operations: []
Exploring Operation: 73-43=30, Resulting Numbers: [44, 36, 30]
Generated Node #2: [44, 36, 30] from Operation: 73-43=30
Current State: 50:[44, 36, 30], Operations: ['73-43=30']
Exploring Operation: 44+36=80, Resulting Numbers: [30, 80]
Generated Node #3: [30, 80] from Operation: 44+36=80
Current State: 50:[30, 80], Operations: ['73-43=30', '44+36=80']
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
39,
87,
50,
6
] | 71 | [
"39+87=126",
"126/6=21",
"50+21=71"
] | Current State: 71:[39, 87, 50, 6], Operations: []
Exploring Operation: 39+87=126, Resulting Numbers: [50, 6, 126]
Generated Node #2: [50, 6, 126] from Operation: 39+87=126
Current State: 71:[50, 6, 126], Operations: ['39+87=126']
Exploring Operation: 126/6=21, Resulting Numbers: [50, 21]
Generated Node #3: [50, 21] from Operation: 126/6=21
Current State: 71:[50, 21], Operations: ['39+87=126', '126/6=21']
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
63,
58,
33,
41
] | 40 | [
"63-58=5",
"41-33=8",
"5*8=40"
] | Current State: 40:[63, 58, 33, 41], Operations: []
Exploring Operation: 63-58=5, Resulting Numbers: [33, 41, 5]
Generated Node #2: [33, 41, 5] from Operation: 63-58=5
Current State: 40:[33, 41, 5], Operations: ['63-58=5']
Exploring Operation: 41-33=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 41-33=8
Current State: 40:[5, 8], Operations: ['63-58=5', '41-33=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
90,
28,
15,
13
] | 79 | [
"28-15=13",
"13*13=169",
"169-90=79"
] | Current State: 79:[90, 28, 15, 13], Operations: []
Exploring Operation: 28-15=13, Resulting Numbers: [90, 13, 13]
Generated Node #2: [90, 13, 13] from Operation: 28-15=13
Current State: 79:[90, 13, 13], Operations: ['28-15=13']
Exploring Operation: 13*13=169, Resulting Numbers: [90, 169]
Generated Node #3: [90, 169] from Operation: 13*13=169
Current State: 79:[90, 169], Operations: ['28-15=13', '13*13=169']
Exploring Operation: 169-90=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
82,
95,
5,
19
] | 84 | [
"95-82=13",
"5*13=65",
"19+65=84"
] | Current State: 84:[82, 95, 5, 19], Operations: []
Exploring Operation: 95-82=13, Resulting Numbers: [5, 19, 13]
Generated Node #2: [5, 19, 13] from Operation: 95-82=13
Current State: 84:[5, 19, 13], Operations: ['95-82=13']
Exploring Operation: 5*13=65, Resulting Numbers: [19, 65]
Generated Node #3: [19, 65] from Operation: 5*13=65
Current State: 84:[19, 65], Operations: ['95-82=13', '5*13=65']
Exploring Operation: 19+65=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
78,
3,
25,
4
] | 66 | [
"25*4=100",
"100-78=22",
"3*22=66"
] | Current State: 66:[78, 3, 25, 4], Operations: []
Exploring Operation: 25*4=100, Resulting Numbers: [78, 3, 100]
Generated Node #2: [78, 3, 100] from Operation: 25*4=100
Current State: 66:[78, 3, 100], Operations: ['25*4=100']
Exploring Operation: 100-78=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 100-78=22
Current State: 66:[3, 22], Operations: ['25*4=100', '100-78=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
54,
5,
79,
24
] | 43 | [
"79-24=55",
"55/5=11",
"54-11=43"
] | Current State: 43:[54, 5, 79, 24], Operations: []
Exploring Operation: 79-24=55, Resulting Numbers: [54, 5, 55]
Generated Node #2: [54, 5, 55] from Operation: 79-24=55
Current State: 43:[54, 5, 55], Operations: ['79-24=55']
Exploring Operation: 55/5=11, Resulting Numbers: [54, 11]
Generated Node #3: [54, 11] from Operation: 55/5=11
Current State: 43:[54, 11], Operations: ['79-24=55', '55/5=11']
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
80,
63,
25,
15
] | 25 | [
"80+25=105",
"15*105=1575",
"1575/63=25"
] | Current State: 25:[80, 63, 25, 15], Operations: []
Exploring Operation: 80+25=105, Resulting Numbers: [63, 15, 105]
Generated Node #2: [63, 15, 105] from Operation: 80+25=105
Current State: 25:[63, 15, 105], Operations: ['80+25=105']
Exploring Operation: 15*105=1575, Resulting Numbers: [63, 1575]
Generated Node #3: [63, 1575] from Operation: 15*105=1575
Current State: 25:[63, 1575], Operations: ['80+25=105', '15*105=1575']
Exploring Operation: 1575/63=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
21,
13,
37,
29
] | 87 | [
"21+13=34",
"37-34=3",
"29*3=87"
] | Current State: 87:[21, 13, 37, 29], Operations: []
Exploring Operation: 21+13=34, Resulting Numbers: [37, 29, 34]
Generated Node #2: [37, 29, 34] from Operation: 21+13=34
Current State: 87:[37, 29, 34], Operations: ['21+13=34']
Exploring Operation: 37-34=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 37-34=3
Current State: 87:[29, 3], Operations: ['21+13=34', '37-34=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
8,
85,
57,
45
] | 25 | [
"85-8=77",
"57+45=102",
"102-77=25"
] | Current State: 25:[8, 85, 57, 45], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [57, 45, 77]
Generated Node #2: [57, 45, 77] from Operation: 85-8=77
Current State: 25:[57, 45, 77], Operations: ['85-8=77']
Exploring Operation: 57+45=102, Resulting Numbers: [77, 102]
Generated Node #3: [77, 102] from Operation: 57+45=102
Current State: 25:[77, 102], Operations: ['85-8=77', '57+45=102']
Exploring Operation: 102-77=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
12,
79,
75,
71
] | 10 | [
"79+71=150",
"150/75=2",
"12-2=10"
] | Current State: 10:[12, 79, 75, 71], Operations: []
Exploring Operation: 79+71=150, Resulting Numbers: [12, 75, 150]
Generated Node #2: [12, 75, 150] from Operation: 79+71=150
Current State: 10:[12, 75, 150], Operations: ['79+71=150']
Exploring Operation: 150/75=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 150/75=2
Current State: 10:[12, 2], Operations: ['79+71=150', '150/75=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
72,
69,
27,
42
] | 41 | [
"72-69=3",
"42/3=14",
"27+14=41"
] | Current State: 41:[72, 69, 27, 42], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [27, 42, 3]
Generated Node #2: [27, 42, 3] from Operation: 72-69=3
Current State: 41:[27, 42, 3], Operations: ['72-69=3']
Exploring Operation: 42/3=14, Resulting Numbers: [27, 14]
Generated Node #3: [27, 14] from Operation: 42/3=14
Current State: 41:[27, 14], Operations: ['72-69=3', '42/3=14']
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
2,
13,
1,
88
] | 63 | [
"2*13=26",
"1+88=89",
"89-26=63"
] | Current State: 63:[2, 13, 1, 88], Operations: []
Exploring Operation: 2*13=26, Resulting Numbers: [1, 88, 26]
Generated Node #2: [1, 88, 26] from Operation: 2*13=26
Current State: 63:[1, 88, 26], Operations: ['2*13=26']
Exploring Operation: 1+88=89, Resulting Numbers: [26, 89]
Generated Node #3: [26, 89] from Operation: 1+88=89
Current State: 63:[26, 89], Operations: ['2*13=26', '1+88=89']
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
1,
58,
3,
76
] | 67 | [
"3-1=2",
"58+76=134",
"134/2=67"
] | Current State: 67:[1, 58, 3, 76], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [58, 76, 2]
Generated Node #2: [58, 76, 2] from Operation: 3-1=2
Current State: 67:[58, 76, 2], Operations: ['3-1=2']
Exploring Operation: 58+76=134, Resulting Numbers: [2, 134]
Generated Node #3: [2, 134] from Operation: 58+76=134
Current State: 67:[2, 134], Operations: ['3-1=2', '58+76=134']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
72,
28,
24,
81
] | 63 | [
"28-24=4",
"72/4=18",
"81-18=63"
] | Current State: 63:[72, 28, 24, 81], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [72, 81, 4]
Generated Node #2: [72, 81, 4] from Operation: 28-24=4
Current State: 63:[72, 81, 4], Operations: ['28-24=4']
Exploring Operation: 72/4=18, Resulting Numbers: [81, 18]
Generated Node #3: [81, 18] from Operation: 72/4=18
Current State: 63:[81, 18], Operations: ['28-24=4', '72/4=18']
Exploring Operation: 81-18=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
10,
76,
87,
63
] | 91 | [
"87+63=150",
"150/10=15",
"76+15=91"
] | Current State: 91:[10, 76, 87, 63], Operations: []
Exploring Operation: 87+63=150, Resulting Numbers: [10, 76, 150]
Generated Node #2: [10, 76, 150] from Operation: 87+63=150
Current State: 91:[10, 76, 150], Operations: ['87+63=150']
Exploring Operation: 150/10=15, Resulting Numbers: [76, 15]
Generated Node #3: [76, 15] from Operation: 150/10=15
Current State: 91:[76, 15], Operations: ['87+63=150', '150/10=15']
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
4,
1,
24,
30
] | 97 | [
"4*30=120",
"24-1=23",
"120-23=97"
] | Current State: 97:[4, 1, 24, 30], Operations: []
Exploring Operation: 4*30=120, Resulting Numbers: [1, 24, 120]
Generated Node #2: [1, 24, 120] from Operation: 4*30=120
Current State: 97:[1, 24, 120], Operations: ['4*30=120']
Exploring Operation: 24-1=23, Resulting Numbers: [120, 23]
Generated Node #3: [120, 23] from Operation: 24-1=23
Current State: 97:[120, 23], Operations: ['4*30=120', '24-1=23']
Exploring Operation: 120-23=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
62,
61,
84,
33
] | 52 | [
"62-61=1",
"84-33=51",
"1+51=52"
] | Current State: 52:[62, 61, 84, 33], Operations: []
Exploring Operation: 62-61=1, Resulting Numbers: [84, 33, 1]
Generated Node #2: [84, 33, 1] from Operation: 62-61=1
Current State: 52:[84, 33, 1], Operations: ['62-61=1']
Exploring Operation: 84-33=51, Resulting Numbers: [1, 51]
Generated Node #3: [1, 51] from Operation: 84-33=51
Current State: 52:[1, 51], Operations: ['62-61=1', '84-33=51']
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
92,
83,
89,
12
] | 20 | [
"89-83=6",
"12*6=72",
"92-72=20"
] | Current State: 20:[92, 83, 89, 12], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [92, 12, 6]
Generated Node #2: [92, 12, 6] from Operation: 89-83=6
Current State: 20:[92, 12, 6], Operations: ['89-83=6']
Exploring Operation: 12*6=72, Resulting Numbers: [92, 72]
Generated Node #3: [92, 72] from Operation: 12*6=72
Current State: 20:[92, 72], Operations: ['89-83=6', '12*6=72']
Exploring Operation: 92-72=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
1,
6,
45,
44
] | 96 | [
"1+6=7",
"45+44=89",
"7+89=96"
] | Current State: 96:[1, 6, 45, 44], Operations: []
Exploring Operation: 1+6=7, Resulting Numbers: [45, 44, 7]
Generated Node #2: [45, 44, 7] from Operation: 1+6=7
Current State: 96:[45, 44, 7], Operations: ['1+6=7']
Exploring Operation: 45+44=89, Resulting Numbers: [7, 89]
Generated Node #3: [7, 89] from Operation: 45+44=89
Current State: 96:[7, 89], Operations: ['1+6=7', '45+44=89']
Exploring Operation: 7+89=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
41,
8,
3,
78
] | 94 | [
"41*8=328",
"3*78=234",
"328-234=94"
] | Current State: 94:[41, 8, 3, 78], Operations: []
Exploring Operation: 41*8=328, Resulting Numbers: [3, 78, 328]
Generated Node #2: [3, 78, 328] from Operation: 41*8=328
Current State: 94:[3, 78, 328], Operations: ['41*8=328']
Exploring Operation: 3*78=234, Resulting Numbers: [328, 234]
Generated Node #3: [328, 234] from Operation: 3*78=234
Current State: 94:[328, 234], Operations: ['41*8=328', '3*78=234']
Exploring Operation: 328-234=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
25,
43,
15,
1
] | 83 | [
"25+43=68",
"15*1=15",
"68+15=83"
] | Current State: 83:[25, 43, 15, 1], Operations: []
Exploring Operation: 25+43=68, Resulting Numbers: [15, 1, 68]
Generated Node #2: [15, 1, 68] from Operation: 25+43=68
Current State: 83:[15, 1, 68], Operations: ['25+43=68']
Exploring Operation: 15*1=15, Resulting Numbers: [68, 15]
Generated Node #3: [68, 15] from Operation: 15*1=15
Current State: 83:[68, 15], Operations: ['25+43=68', '15*1=15']
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
54,
25,
56,
55
] | 27 | [
"54+56=110",
"110/55=2",
"25+2=27"
] | Current State: 27:[54, 25, 56, 55], Operations: []
Exploring Operation: 54+56=110, Resulting Numbers: [25, 55, 110]
Generated Node #2: [25, 55, 110] from Operation: 54+56=110
Current State: 27:[25, 55, 110], Operations: ['54+56=110']
Exploring Operation: 110/55=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 110/55=2
Current State: 27:[25, 2], Operations: ['54+56=110', '110/55=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
99,
39,
90,
38
] | 68 | [
"99-39=60",
"90+38=128",
"128-60=68"
] | Current State: 68:[99, 39, 90, 38], Operations: []
Exploring Operation: 99-39=60, Resulting Numbers: [90, 38, 60]
Generated Node #2: [90, 38, 60] from Operation: 99-39=60
Current State: 68:[90, 38, 60], Operations: ['99-39=60']
Exploring Operation: 90+38=128, Resulting Numbers: [60, 128]
Generated Node #3: [60, 128] from Operation: 90+38=128
Current State: 68:[60, 128], Operations: ['99-39=60', '90+38=128']
Exploring Operation: 128-60=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
51,
98,
31,
23
] | 55 | [
"98-51=47",
"31-23=8",
"47+8=55"
] | Current State: 55:[51, 98, 31, 23], Operations: []
Exploring Operation: 98-51=47, Resulting Numbers: [31, 23, 47]
Generated Node #2: [31, 23, 47] from Operation: 98-51=47
Current State: 55:[31, 23, 47], Operations: ['98-51=47']
Exploring Operation: 31-23=8, Resulting Numbers: [47, 8]
Generated Node #3: [47, 8] from Operation: 31-23=8
Current State: 55:[47, 8], Operations: ['98-51=47', '31-23=8']
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
81,
85,
86,
22
] | 68 | [
"85-81=4",
"86-22=64",
"4+64=68"
] | Current State: 68:[81, 85, 86, 22], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [86, 22, 4]
Generated Node #2: [86, 22, 4] from Operation: 85-81=4
Current State: 68:[86, 22, 4], Operations: ['85-81=4']
Exploring Operation: 86-22=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 86-22=64
Current State: 68:[4, 64], Operations: ['85-81=4', '86-22=64']
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
65,
99,
56,
90
] | 79 | [
"65-56=9",
"99/9=11",
"90-11=79"
] | Current State: 79:[65, 99, 56, 90], Operations: []
Exploring Operation: 65-56=9, Resulting Numbers: [99, 90, 9]
Generated Node #2: [99, 90, 9] from Operation: 65-56=9
Current State: 79:[99, 90, 9], Operations: ['65-56=9']
Exploring Operation: 99/9=11, Resulting Numbers: [90, 11]
Generated Node #3: [90, 11] from Operation: 99/9=11
Current State: 79:[90, 11], Operations: ['65-56=9', '99/9=11']
Exploring Operation: 90-11=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
77,
11,
41,
86
] | 58 | [
"86-77=9",
"11*9=99",
"99-41=58"
] | Current State: 58:[77, 11, 41, 86], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [11, 41, 9]
Generated Node #2: [11, 41, 9] from Operation: 86-77=9
Current State: 58:[11, 41, 9], Operations: ['86-77=9']
Exploring Operation: 11*9=99, Resulting Numbers: [41, 99]
Generated Node #3: [41, 99] from Operation: 11*9=99
Current State: 58:[41, 99], Operations: ['86-77=9', '11*9=99']
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
38,
44,
2,
58
] | 68 | [
"58-38=20",
"44*2=88",
"88-20=68"
] | Current State: 68:[38, 44, 2, 58], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [44, 2, 20]
Generated Node #2: [44, 2, 20] from Operation: 58-38=20
Current State: 68:[44, 2, 20], Operations: ['58-38=20']
Exploring Operation: 44*2=88, Resulting Numbers: [20, 88]
Generated Node #3: [20, 88] from Operation: 44*2=88
Current State: 68:[20, 88], Operations: ['58-38=20', '44*2=88']
Exploring Operation: 88-20=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
34,
88,
60,
40
] | 34 | [
"88-34=54",
"60-40=20",
"54-20=34"
] | Current State: 34:[34, 88, 60, 40], Operations: []
Exploring Operation: 88-34=54, Resulting Numbers: [60, 40, 54]
Generated Node #2: [60, 40, 54] from Operation: 88-34=54
Current State: 34:[60, 40, 54], Operations: ['88-34=54']
Exploring Operation: 60-40=20, Resulting Numbers: [54, 20]
Generated Node #3: [54, 20] from Operation: 60-40=20
Current State: 34:[54, 20], Operations: ['88-34=54', '60-40=20']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
16,
8,
20,
32
] | 72 | [
"16/8=2",
"20*2=40",
"32+40=72"
] | Current State: 72:[16, 8, 20, 32], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [20, 32, 2]
Generated Node #2: [20, 32, 2] from Operation: 16/8=2
Current State: 72:[20, 32, 2], Operations: ['16/8=2']
Exploring Operation: 20*2=40, Resulting Numbers: [32, 40]
Generated Node #3: [32, 40] from Operation: 20*2=40
Current State: 72:[32, 40], Operations: ['16/8=2', '20*2=40']
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
62,
14,
16,
72
] | 12 | [
"62+14=76",
"16+72=88",
"88-76=12"
] | Current State: 12:[62, 14, 16, 72], Operations: []
Exploring Operation: 62+14=76, Resulting Numbers: [16, 72, 76]
Generated Node #2: [16, 72, 76] from Operation: 62+14=76
Current State: 12:[16, 72, 76], Operations: ['62+14=76']
Exploring Operation: 16+72=88, Resulting Numbers: [76, 88]
Generated Node #3: [76, 88] from Operation: 16+72=88
Current State: 12:[76, 88], Operations: ['62+14=76', '16+72=88']
Exploring Operation: 88-76=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
15,
86,
7,
82
] | 88 | [
"15+7=22",
"86-82=4",
"22*4=88"
] | Current State: 88:[15, 86, 7, 82], Operations: []
Exploring Operation: 15+7=22, Resulting Numbers: [86, 82, 22]
Generated Node #2: [86, 82, 22] from Operation: 15+7=22
Current State: 88:[86, 82, 22], Operations: ['15+7=22']
Exploring Operation: 86-82=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 86-82=4
Current State: 88:[22, 4], Operations: ['15+7=22', '86-82=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
78,
70,
60,
73
] | 98 | [
"73-70=3",
"60/3=20",
"78+20=98"
] | Current State: 98:[78, 70, 60, 73], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [78, 60, 3]
Generated Node #2: [78, 60, 3] from Operation: 73-70=3
Current State: 98:[78, 60, 3], Operations: ['73-70=3']
Exploring Operation: 60/3=20, Resulting Numbers: [78, 20]
Generated Node #3: [78, 20] from Operation: 60/3=20
Current State: 98:[78, 20], Operations: ['73-70=3', '60/3=20']
Exploring Operation: 78+20=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
60,
23,
36,
63
] | 39 | [
"63-60=3",
"36-23=13",
"3*13=39"
] | Current State: 39:[60, 23, 36, 63], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [23, 36, 3]
Generated Node #2: [23, 36, 3] from Operation: 63-60=3
Current State: 39:[23, 36, 3], Operations: ['63-60=3']
Exploring Operation: 36-23=13, Resulting Numbers: [3, 13]
Generated Node #3: [3, 13] from Operation: 36-23=13
Current State: 39:[3, 13], Operations: ['63-60=3', '36-23=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
31,
20,
88,
44
] | 41 | [
"20*44=880",
"880/88=10",
"31+10=41"
] | Current State: 41:[31, 20, 88, 44], Operations: []
Exploring Operation: 20*44=880, Resulting Numbers: [31, 88, 880]
Generated Node #2: [31, 88, 880] from Operation: 20*44=880
Current State: 41:[31, 88, 880], Operations: ['20*44=880']
Exploring Operation: 880/88=10, Resulting Numbers: [31, 10]
Generated Node #3: [31, 10] from Operation: 880/88=10
Current State: 41:[31, 10], Operations: ['20*44=880', '880/88=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
2,
9,
48,
74
] | 34 | [
"9+48=57",
"74-57=17",
"2*17=34"
] | Current State: 34:[2, 9, 48, 74], Operations: []
Exploring Operation: 9+48=57, Resulting Numbers: [2, 74, 57]
Generated Node #2: [2, 74, 57] from Operation: 9+48=57
Current State: 34:[2, 74, 57], Operations: ['9+48=57']
Exploring Operation: 74-57=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 74-57=17
Current State: 34:[2, 17], Operations: ['9+48=57', '74-57=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
9,
94,
43,
2
] | 73 | [
"9+94=103",
"43+103=146",
"146/2=73"
] | Current State: 73:[9, 94, 43, 2], Operations: []
Exploring Operation: 9+94=103, Resulting Numbers: [43, 2, 103]
Generated Node #2: [43, 2, 103] from Operation: 9+94=103
Current State: 73:[43, 2, 103], Operations: ['9+94=103']
Exploring Operation: 43+103=146, Resulting Numbers: [2, 146]
Generated Node #3: [2, 146] from Operation: 43+103=146
Current State: 73:[2, 146], Operations: ['9+94=103', '43+103=146']
Exploring Operation: 146/2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
21,
39,
74,
55
] | 37 | [
"39-21=18",
"74-55=19",
"18+19=37"
] | Current State: 37:[21, 39, 74, 55], Operations: []
Exploring Operation: 39-21=18, Resulting Numbers: [74, 55, 18]
Generated Node #2: [74, 55, 18] from Operation: 39-21=18
Current State: 37:[74, 55, 18], Operations: ['39-21=18']
Exploring Operation: 74-55=19, Resulting Numbers: [18, 19]
Generated Node #3: [18, 19] from Operation: 74-55=19
Current State: 37:[18, 19], Operations: ['39-21=18', '74-55=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
72,
26,
27,
70
] | 36 | [
"26+70=96",
"27*96=2592",
"2592/72=36"
] | Current State: 36:[72, 26, 27, 70], Operations: []
Exploring Operation: 26+70=96, Resulting Numbers: [72, 27, 96]
Generated Node #2: [72, 27, 96] from Operation: 26+70=96
Current State: 36:[72, 27, 96], Operations: ['26+70=96']
Exploring Operation: 27*96=2592, Resulting Numbers: [72, 2592]
Generated Node #3: [72, 2592] from Operation: 27*96=2592
Current State: 36:[72, 2592], Operations: ['26+70=96', '27*96=2592']
Exploring Operation: 2592/72=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
19,
87,
19,
37
] | 37 | [
"19-19=0",
"87*0=0",
"37+0=37"
] | Current State: 37:[19, 87, 19, 37], Operations: []
Exploring Operation: 19-19=0, Resulting Numbers: [87, 37, 0]
Generated Node #2: [87, 37, 0] from Operation: 19-19=0
Current State: 37:[87, 37, 0], Operations: ['19-19=0']
Exploring Operation: 87*0=0, Resulting Numbers: [37, 0]
Generated Node #3: [37, 0] from Operation: 87*0=0
Current State: 37:[37, 0], Operations: ['19-19=0', '87*0=0']
Exploring Operation: 37+0=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
76,
72,
48,
23
] | 29 | [
"76-72=4",
"48-23=25",
"4+25=29"
] | Current State: 29:[76, 72, 48, 23], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [48, 23, 4]
Generated Node #2: [48, 23, 4] from Operation: 76-72=4
Current State: 29:[48, 23, 4], Operations: ['76-72=4']
Exploring Operation: 48-23=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 48-23=25
Current State: 29:[4, 25], Operations: ['76-72=4', '48-23=25']
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
69,
74,
72,
77
] | 47 | [
"69+72=141",
"77-74=3",
"141/3=47"
] | Current State: 47:[69, 74, 72, 77], Operations: []
Exploring Operation: 69+72=141, Resulting Numbers: [74, 77, 141]
Generated Node #2: [74, 77, 141] from Operation: 69+72=141
Current State: 47:[74, 77, 141], Operations: ['69+72=141']
Exploring Operation: 77-74=3, Resulting Numbers: [141, 3]
Generated Node #3: [141, 3] from Operation: 77-74=3
Current State: 47:[141, 3], Operations: ['69+72=141', '77-74=3']
Exploring Operation: 141/3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
88,
48,
40,
57
] | 68 | [
"48-40=8",
"88/8=11",
"57+11=68"
] | Current State: 68:[88, 48, 40, 57], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [88, 57, 8]
Generated Node #2: [88, 57, 8] from Operation: 48-40=8
Current State: 68:[88, 57, 8], Operations: ['48-40=8']
Exploring Operation: 88/8=11, Resulting Numbers: [57, 11]
Generated Node #3: [57, 11] from Operation: 88/8=11
Current State: 68:[57, 11], Operations: ['48-40=8', '88/8=11']
Exploring Operation: 57+11=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
4,
15,
71,
10
] | 100 | [
"4+15=19",
"71+10=81",
"19+81=100"
] | Current State: 100:[4, 15, 71, 10], Operations: []
Exploring Operation: 4+15=19, Resulting Numbers: [71, 10, 19]
Generated Node #2: [71, 10, 19] from Operation: 4+15=19
Current State: 100:[71, 10, 19], Operations: ['4+15=19']
Exploring Operation: 71+10=81, Resulting Numbers: [19, 81]
Generated Node #3: [19, 81] from Operation: 71+10=81
Current State: 100:[19, 81], Operations: ['4+15=19', '71+10=81']
Exploring Operation: 19+81=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
6,
14,
45,
53
] | 62 | [
"53-45=8",
"6*8=48",
"14+48=62"
] | Current State: 62:[6, 14, 45, 53], Operations: []
Exploring Operation: 53-45=8, Resulting Numbers: [6, 14, 8]
Generated Node #2: [6, 14, 8] from Operation: 53-45=8
Current State: 62:[6, 14, 8], Operations: ['53-45=8']
Exploring Operation: 6*8=48, Resulting Numbers: [14, 48]
Generated Node #3: [14, 48] from Operation: 6*8=48
Current State: 62:[14, 48], Operations: ['53-45=8', '6*8=48']
Exploring Operation: 14+48=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
8,
20,
53,
5
] | 99 | [
"8-5=3",
"53-20=33",
"3*33=99"
] | Current State: 99:[8, 20, 53, 5], Operations: []
Exploring Operation: 8-5=3, Resulting Numbers: [20, 53, 3]
Generated Node #2: [20, 53, 3] from Operation: 8-5=3
Current State: 99:[20, 53, 3], Operations: ['8-5=3']
Exploring Operation: 53-20=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 53-20=33
Current State: 99:[3, 33], Operations: ['8-5=3', '53-20=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
18,
18,
92,
54
] | 89 | [
"18*92=1656",
"1656-54=1602",
"1602/18=89"
] | Current State: 89:[18, 18, 92, 54], Operations: []
Exploring Operation: 18*92=1656, Resulting Numbers: [54, 1656]
Generated Node #2: [54, 1656] from Operation: 18*92=1656
Current State: 89:[54, 1656], Operations: ['18*92=1656']
Exploring Operation: 1656-54=1602, Resulting Numbers: [1602]
1602,89 equal: Goal Reached
Exploring Operation: 1602/18=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
5,
71,
48,
99
] | 92 | [
"99-71=28",
"5*28=140",
"140-48=92"
] | Current State: 92:[5, 71, 48, 99], Operations: []
Exploring Operation: 99-71=28, Resulting Numbers: [5, 48, 28]
Generated Node #2: [5, 48, 28] from Operation: 99-71=28
Current State: 92:[5, 48, 28], Operations: ['99-71=28']
Exploring Operation: 5*28=140, Resulting Numbers: [48, 140]
Generated Node #3: [48, 140] from Operation: 5*28=140
Current State: 92:[48, 140], Operations: ['99-71=28', '5*28=140']
Exploring Operation: 140-48=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
60,
77,
20,
66
] | 43 | [
"66-60=6",
"20*6=120",
"120-77=43"
] | Current State: 43:[60, 77, 20, 66], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [77, 20, 6]
Generated Node #2: [77, 20, 6] from Operation: 66-60=6
Current State: 43:[77, 20, 6], Operations: ['66-60=6']
Exploring Operation: 20*6=120, Resulting Numbers: [77, 120]
Generated Node #3: [77, 120] from Operation: 20*6=120
Current State: 43:[77, 120], Operations: ['66-60=6', '20*6=120']
Exploring Operation: 120-77=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
44,
59,
83,
72
] | 26 | [
"59-44=15",
"83-72=11",
"15+11=26"
] | Current State: 26:[44, 59, 83, 72], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [83, 72, 15]
Generated Node #2: [83, 72, 15] from Operation: 59-44=15
Current State: 26:[83, 72, 15], Operations: ['59-44=15']
Exploring Operation: 83-72=11, Resulting Numbers: [15, 11]
Generated Node #3: [15, 11] from Operation: 83-72=11
Current State: 26:[15, 11], Operations: ['59-44=15', '83-72=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
21,
85,
54,
3
] | 30 | [
"85-21=64",
"64-54=10",
"3*10=30"
] | Current State: 30:[21, 85, 54, 3], Operations: []
Exploring Operation: 85-21=64, Resulting Numbers: [54, 3, 64]
Generated Node #2: [54, 3, 64] from Operation: 85-21=64
Current State: 30:[54, 3, 64], Operations: ['85-21=64']
Exploring Operation: 64-54=10, Resulting Numbers: [3, 10]
Generated Node #3: [3, 10] from Operation: 64-54=10
Current State: 30:[3, 10], Operations: ['85-21=64', '64-54=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
59,
66,
30,
28
] | 65 | [
"66-59=7",
"30+28=58",
"7+58=65"
] | Current State: 65:[59, 66, 30, 28], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [30, 28, 7]
Generated Node #2: [30, 28, 7] from Operation: 66-59=7
Current State: 65:[30, 28, 7], Operations: ['66-59=7']
Exploring Operation: 30+28=58, Resulting Numbers: [7, 58]
Generated Node #3: [7, 58] from Operation: 30+28=58
Current State: 65:[7, 58], Operations: ['66-59=7', '30+28=58']
Exploring Operation: 7+58=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
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