nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
78,
73,
5,
39
] | 39 | [
"78-73=5",
"5+39=44",
"44-5=39"
] | Current State: 39:[78, 73, 5, 39], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [5, 39, 5]
Generated Node #2: [5, 39, 5] from Operation: 78-73=5
Current State: 39:[5, 39, 5], Operations: ['78-73=5']
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,39 equal: Goal Reached
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
87,
3,
77,
78
] | 85 | [
"87-3=84",
"78-77=1",
"84+1=85"
] | Current State: 85:[87, 3, 77, 78], Operations: []
Exploring Operation: 87-3=84, Resulting Numbers: [77, 78, 84]
Generated Node #2: [77, 78, 84] from Operation: 87-3=84
Current State: 85:[77, 78, 84], Operations: ['87-3=84']
Exploring Operation: 78-77=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 78-77=1
Current State: 85:[84, 1], Operations: ['87-3=84', '78-77=1']
Exploring Operation: 84+1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
2,
19,
88,
47
] | 44 | [
"88-19=69",
"69-47=22",
"2*22=44"
] | Current State: 44:[2, 19, 88, 47], Operations: []
Exploring Operation: 88-19=69, Resulting Numbers: [2, 47, 69]
Generated Node #2: [2, 47, 69] from Operation: 88-19=69
Current State: 44:[2, 47, 69], Operations: ['88-19=69']
Exploring Operation: 69-47=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 69-47=22
Current State: 44:[2, 22], Operations: ['88-19=69', '69-47=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
79,
97,
98,
84
] | 21 | [
"97-79=18",
"98*18=1764",
"1764/84=21"
] | Current State: 21:[79, 97, 98, 84], Operations: []
Exploring Operation: 97-79=18, Resulting Numbers: [98, 84, 18]
Generated Node #2: [98, 84, 18] from Operation: 97-79=18
Current State: 21:[98, 84, 18], Operations: ['97-79=18']
Exploring Operation: 98*18=1764, Resulting Numbers: [84, 1764]
Generated Node #3: [84, 1764] from Operation: 98*18=1764
Current State: 21:[84, 1764], Operations: ['97-79=18', '98*18=1764']
Exploring Operation: 1764/84=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
17,
43,
58,
30
] | 32 | [
"17+43=60",
"58-30=28",
"60-28=32"
] | Current State: 32:[17, 43, 58, 30], Operations: []
Exploring Operation: 17+43=60, Resulting Numbers: [58, 30, 60]
Generated Node #2: [58, 30, 60] from Operation: 17+43=60
Current State: 32:[58, 30, 60], Operations: ['17+43=60']
Exploring Operation: 58-30=28, Resulting Numbers: [60, 28]
Generated Node #3: [60, 28] from Operation: 58-30=28
Current State: 32:[60, 28], Operations: ['17+43=60', '58-30=28']
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
91,
33,
76,
45
] | 63 | [
"91-33=58",
"76+45=121",
"121-58=63"
] | Current State: 63:[91, 33, 76, 45], Operations: []
Exploring Operation: 91-33=58, Resulting Numbers: [76, 45, 58]
Generated Node #2: [76, 45, 58] from Operation: 91-33=58
Current State: 63:[76, 45, 58], Operations: ['91-33=58']
Exploring Operation: 76+45=121, Resulting Numbers: [58, 121]
Generated Node #3: [58, 121] from Operation: 76+45=121
Current State: 63:[58, 121], Operations: ['91-33=58', '76+45=121']
Exploring Operation: 121-58=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
26,
14,
42,
18
] | 47 | [
"26+18=44",
"42/14=3",
"44+3=47"
] | Current State: 47:[26, 14, 42, 18], Operations: []
Exploring Operation: 26+18=44, Resulting Numbers: [14, 42, 44]
Generated Node #2: [14, 42, 44] from Operation: 26+18=44
Current State: 47:[14, 42, 44], Operations: ['26+18=44']
Exploring Operation: 42/14=3, Resulting Numbers: [44, 3]
Generated Node #3: [44, 3] from Operation: 42/14=3
Current State: 47:[44, 3], Operations: ['26+18=44', '42/14=3']
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
23,
20,
36,
5
] | 22 | [
"23-5=18",
"36/18=2",
"20+2=22"
] | Current State: 22:[23, 20, 36, 5], Operations: []
Exploring Operation: 23-5=18, Resulting Numbers: [20, 36, 18]
Generated Node #2: [20, 36, 18] from Operation: 23-5=18
Current State: 22:[20, 36, 18], Operations: ['23-5=18']
Exploring Operation: 36/18=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 36/18=2
Current State: 22:[20, 2], Operations: ['23-5=18', '36/18=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
67,
5,
11,
73
] | 61 | [
"73-67=6",
"5*11=55",
"6+55=61"
] | Current State: 61:[67, 5, 11, 73], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [5, 11, 6]
Generated Node #2: [5, 11, 6] from Operation: 73-67=6
Current State: 61:[5, 11, 6], Operations: ['73-67=6']
Exploring Operation: 5*11=55, Resulting Numbers: [6, 55]
Generated Node #3: [6, 55] from Operation: 5*11=55
Current State: 61:[6, 55], Operations: ['73-67=6', '5*11=55']
Exploring Operation: 6+55=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
56,
38,
19,
61
] | 57 | [
"61-56=5",
"19*5=95",
"95-38=57"
] | Current State: 57:[56, 38, 19, 61], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [38, 19, 5]
Generated Node #2: [38, 19, 5] from Operation: 61-56=5
Current State: 57:[38, 19, 5], Operations: ['61-56=5']
Exploring Operation: 19*5=95, Resulting Numbers: [38, 95]
Generated Node #3: [38, 95] from Operation: 19*5=95
Current State: 57:[38, 95], Operations: ['61-56=5', '19*5=95']
Exploring Operation: 95-38=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
26,
53,
79,
76
] | 76 | [
"26+53=79",
"79+76=155",
"155-79=76"
] | Current State: 76:[26, 53, 79, 76], Operations: []
Exploring Operation: 26+53=79, Resulting Numbers: [79, 76, 79]
Generated Node #2: [79, 76, 79] from Operation: 26+53=79
Current State: 76:[79, 76, 79], Operations: ['26+53=79']
Exploring Operation: 79+76=155, Resulting Numbers: [155]
155,76 equal: Goal Reached
Exploring Operation: 155-79=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
39,
62,
50,
3
] | 35 | [
"62-50=12",
"12/3=4",
"39-4=35"
] | Current State: 35:[39, 62, 50, 3], Operations: []
Exploring Operation: 62-50=12, Resulting Numbers: [39, 3, 12]
Generated Node #2: [39, 3, 12] from Operation: 62-50=12
Current State: 35:[39, 3, 12], Operations: ['62-50=12']
Exploring Operation: 12/3=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 12/3=4
Current State: 35:[39, 4], Operations: ['62-50=12', '12/3=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
71,
2,
2,
33
] | 34 | [
"71-2=69",
"2+33=35",
"69-35=34"
] | Current State: 34:[71, 2, 2, 33], Operations: []
Exploring Operation: 71-2=69, Resulting Numbers: [33, 69]
Generated Node #2: [33, 69] from Operation: 71-2=69
Current State: 34:[33, 69], Operations: ['71-2=69']
Exploring Operation: 2+33=35, Resulting Numbers: [69, 35]
Generated Node #3: [69, 35] from Operation: 2+33=35
Current State: 34:[69, 35], Operations: ['71-2=69', '2+33=35']
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
41,
5,
22,
18
] | 41 | [
"22-5=17",
"18-17=1",
"41*1=41"
] | Current State: 41:[41, 5, 22, 18], Operations: []
Exploring Operation: 22-5=17, Resulting Numbers: [41, 18, 17]
Generated Node #2: [41, 18, 17] from Operation: 22-5=17
Current State: 41:[41, 18, 17], Operations: ['22-5=17']
Exploring Operation: 18-17=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 18-17=1
Current State: 41:[41, 1], Operations: ['22-5=17', '18-17=1']
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
64,
1,
12,
4
] | 47 | [
"64-1=63",
"12+4=16",
"63-16=47"
] | Current State: 47:[64, 1, 12, 4], Operations: []
Exploring Operation: 64-1=63, Resulting Numbers: [12, 4, 63]
Generated Node #2: [12, 4, 63] from Operation: 64-1=63
Current State: 47:[12, 4, 63], Operations: ['64-1=63']
Exploring Operation: 12+4=16, Resulting Numbers: [63, 16]
Generated Node #3: [63, 16] from Operation: 12+4=16
Current State: 47:[63, 16], Operations: ['64-1=63', '12+4=16']
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
47,
35,
4,
98
] | 89 | [
"98-47=51",
"35*4=140",
"140-51=89"
] | Current State: 89:[47, 35, 4, 98], Operations: []
Exploring Operation: 98-47=51, Resulting Numbers: [35, 4, 51]
Generated Node #2: [35, 4, 51] from Operation: 98-47=51
Current State: 89:[35, 4, 51], Operations: ['98-47=51']
Exploring Operation: 35*4=140, Resulting Numbers: [51, 140]
Generated Node #3: [51, 140] from Operation: 35*4=140
Current State: 89:[51, 140], Operations: ['98-47=51', '35*4=140']
Exploring Operation: 140-51=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
52,
91,
70,
20
] | 91 | [
"52*70=3640",
"3640/20=182",
"182-91=91"
] | Current State: 91:[52, 91, 70, 20], Operations: []
Exploring Operation: 52*70=3640, Resulting Numbers: [91, 20, 3640]
Generated Node #2: [91, 20, 3640] from Operation: 52*70=3640
Current State: 91:[91, 20, 3640], Operations: ['52*70=3640']
Exploring Operation: 3640/20=182, Resulting Numbers: [91, 182]
Generated Node #3: [91, 182] from Operation: 3640/20=182
Current State: 91:[91, 182], Operations: ['52*70=3640', '3640/20=182']
Exploring Operation: 182-91=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
51,
39,
97,
55
] | 54 | [
"51-39=12",
"97-55=42",
"12+42=54"
] | Current State: 54:[51, 39, 97, 55], Operations: []
Exploring Operation: 51-39=12, Resulting Numbers: [97, 55, 12]
Generated Node #2: [97, 55, 12] from Operation: 51-39=12
Current State: 54:[97, 55, 12], Operations: ['51-39=12']
Exploring Operation: 97-55=42, Resulting Numbers: [12, 42]
Generated Node #3: [12, 42] from Operation: 97-55=42
Current State: 54:[12, 42], Operations: ['51-39=12', '97-55=42']
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
29,
9,
52,
79
] | 87 | [
"79-52=27",
"29*27=783",
"783/9=87"
] | Current State: 87:[29, 9, 52, 79], Operations: []
Exploring Operation: 79-52=27, Resulting Numbers: [29, 9, 27]
Generated Node #2: [29, 9, 27] from Operation: 79-52=27
Current State: 87:[29, 9, 27], Operations: ['79-52=27']
Exploring Operation: 29*27=783, Resulting Numbers: [9, 783]
Generated Node #3: [9, 783] from Operation: 29*27=783
Current State: 87:[9, 783], Operations: ['79-52=27', '29*27=783']
Exploring Operation: 783/9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
64,
11,
27,
13
] | 93 | [
"64-11=53",
"27+13=40",
"53+40=93"
] | Current State: 93:[64, 11, 27, 13], Operations: []
Exploring Operation: 64-11=53, Resulting Numbers: [27, 13, 53]
Generated Node #2: [27, 13, 53] from Operation: 64-11=53
Current State: 93:[27, 13, 53], Operations: ['64-11=53']
Exploring Operation: 27+13=40, Resulting Numbers: [53, 40]
Generated Node #3: [53, 40] from Operation: 27+13=40
Current State: 93:[53, 40], Operations: ['64-11=53', '27+13=40']
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
45,
95,
26,
2
] | 48 | [
"95-45=50",
"50-26=24",
"2*24=48"
] | Current State: 48:[45, 95, 26, 2], Operations: []
Exploring Operation: 95-45=50, Resulting Numbers: [26, 2, 50]
Generated Node #2: [26, 2, 50] from Operation: 95-45=50
Current State: 48:[26, 2, 50], Operations: ['95-45=50']
Exploring Operation: 50-26=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 50-26=24
Current State: 48:[2, 24], Operations: ['95-45=50', '50-26=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
23,
55,
4,
4
] | 21 | [
"23-4=19",
"4*19=76",
"76-55=21"
] | Current State: 21:[23, 55, 4, 4], Operations: []
Exploring Operation: 23-4=19, Resulting Numbers: [55, 19]
Generated Node #2: [55, 19] from Operation: 23-4=19
Current State: 21:[55, 19], Operations: ['23-4=19']
Exploring Operation: 4*19=76, Resulting Numbers: [55, 76]
Generated Node #3: [55, 76] from Operation: 4*19=76
Current State: 21:[55, 76], Operations: ['23-4=19', '4*19=76']
Exploring Operation: 76-55=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
86,
17,
43,
22
] | 90 | [
"86-17=69",
"43-22=21",
"69+21=90"
] | Current State: 90:[86, 17, 43, 22], Operations: []
Exploring Operation: 86-17=69, Resulting Numbers: [43, 22, 69]
Generated Node #2: [43, 22, 69] from Operation: 86-17=69
Current State: 90:[43, 22, 69], Operations: ['86-17=69']
Exploring Operation: 43-22=21, Resulting Numbers: [69, 21]
Generated Node #3: [69, 21] from Operation: 43-22=21
Current State: 90:[69, 21], Operations: ['86-17=69', '43-22=21']
Exploring Operation: 69+21=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
50,
40,
12,
90
] | 60 | [
"40*90=3600",
"3600/50=72",
"72-12=60"
] | Current State: 60:[50, 40, 12, 90], Operations: []
Exploring Operation: 40*90=3600, Resulting Numbers: [50, 12, 3600]
Generated Node #2: [50, 12, 3600] from Operation: 40*90=3600
Current State: 60:[50, 12, 3600], Operations: ['40*90=3600']
Exploring Operation: 3600/50=72, Resulting Numbers: [12, 72]
Generated Node #3: [12, 72] from Operation: 3600/50=72
Current State: 60:[12, 72], Operations: ['40*90=3600', '3600/50=72']
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
81,
65,
63,
26
] | 68 | [
"65-63=2",
"26/2=13",
"81-13=68"
] | Current State: 68:[81, 65, 63, 26], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [81, 26, 2]
Generated Node #2: [81, 26, 2] from Operation: 65-63=2
Current State: 68:[81, 26, 2], Operations: ['65-63=2']
Exploring Operation: 26/2=13, Resulting Numbers: [81, 13]
Generated Node #3: [81, 13] from Operation: 26/2=13
Current State: 68:[81, 13], Operations: ['65-63=2', '26/2=13']
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
29,
67,
78,
51
] | 11 | [
"67-29=38",
"78-51=27",
"38-27=11"
] | Current State: 11:[29, 67, 78, 51], Operations: []
Exploring Operation: 67-29=38, Resulting Numbers: [78, 51, 38]
Generated Node #2: [78, 51, 38] from Operation: 67-29=38
Current State: 11:[78, 51, 38], Operations: ['67-29=38']
Exploring Operation: 78-51=27, Resulting Numbers: [38, 27]
Generated Node #3: [38, 27] from Operation: 78-51=27
Current State: 11:[38, 27], Operations: ['67-29=38', '78-51=27']
Exploring Operation: 38-27=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
67,
17,
97,
82
] | 95 | [
"67+17=84",
"97+82=179",
"179-84=95"
] | Current State: 95:[67, 17, 97, 82], Operations: []
Exploring Operation: 67+17=84, Resulting Numbers: [97, 82, 84]
Generated Node #2: [97, 82, 84] from Operation: 67+17=84
Current State: 95:[97, 82, 84], Operations: ['67+17=84']
Exploring Operation: 97+82=179, Resulting Numbers: [84, 179]
Generated Node #3: [84, 179] from Operation: 97+82=179
Current State: 95:[84, 179], Operations: ['67+17=84', '97+82=179']
Exploring Operation: 179-84=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
63,
87,
98,
17
] | 91 | [
"87-63=24",
"98+17=115",
"115-24=91"
] | Current State: 91:[63, 87, 98, 17], Operations: []
Exploring Operation: 87-63=24, Resulting Numbers: [98, 17, 24]
Generated Node #2: [98, 17, 24] from Operation: 87-63=24
Current State: 91:[98, 17, 24], Operations: ['87-63=24']
Exploring Operation: 98+17=115, Resulting Numbers: [24, 115]
Generated Node #3: [24, 115] from Operation: 98+17=115
Current State: 91:[24, 115], Operations: ['87-63=24', '98+17=115']
Exploring Operation: 115-24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
7,
64,
50,
68
] | 34 | [
"7*68=476",
"64-50=14",
"476/14=34"
] | Current State: 34:[7, 64, 50, 68], Operations: []
Exploring Operation: 7*68=476, Resulting Numbers: [64, 50, 476]
Generated Node #2: [64, 50, 476] from Operation: 7*68=476
Current State: 34:[64, 50, 476], Operations: ['7*68=476']
Exploring Operation: 64-50=14, Resulting Numbers: [476, 14]
Generated Node #3: [476, 14] from Operation: 64-50=14
Current State: 34:[476, 14], Operations: ['7*68=476', '64-50=14']
Exploring Operation: 476/14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
59,
63,
7,
78
] | 26 | [
"63-59=4",
"7-4=3",
"78/3=26"
] | Current State: 26:[59, 63, 7, 78], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [7, 78, 4]
Generated Node #2: [7, 78, 4] from Operation: 63-59=4
Current State: 26:[7, 78, 4], Operations: ['63-59=4']
Exploring Operation: 7-4=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 7-4=3
Current State: 26:[78, 3], Operations: ['63-59=4', '7-4=3']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
91,
92,
2,
13
] | 98 | [
"91+92=183",
"13+183=196",
"196/2=98"
] | Current State: 98:[91, 92, 2, 13], Operations: []
Exploring Operation: 91+92=183, Resulting Numbers: [2, 13, 183]
Generated Node #2: [2, 13, 183] from Operation: 91+92=183
Current State: 98:[2, 13, 183], Operations: ['91+92=183']
Exploring Operation: 13+183=196, Resulting Numbers: [2, 196]
Generated Node #3: [2, 196] from Operation: 13+183=196
Current State: 98:[2, 196], Operations: ['91+92=183', '13+183=196']
Exploring Operation: 196/2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
94,
9,
92,
59
] | 70 | [
"94+9=103",
"92-59=33",
"103-33=70"
] | Current State: 70:[94, 9, 92, 59], Operations: []
Exploring Operation: 94+9=103, Resulting Numbers: [92, 59, 103]
Generated Node #2: [92, 59, 103] from Operation: 94+9=103
Current State: 70:[92, 59, 103], Operations: ['94+9=103']
Exploring Operation: 92-59=33, Resulting Numbers: [103, 33]
Generated Node #3: [103, 33] from Operation: 92-59=33
Current State: 70:[103, 33], Operations: ['94+9=103', '92-59=33']
Exploring Operation: 103-33=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
11,
20,
14,
29
] | 89 | [
"14-11=3",
"20*3=60",
"29+60=89"
] | Current State: 89:[11, 20, 14, 29], Operations: []
Exploring Operation: 14-11=3, Resulting Numbers: [20, 29, 3]
Generated Node #2: [20, 29, 3] from Operation: 14-11=3
Current State: 89:[20, 29, 3], Operations: ['14-11=3']
Exploring Operation: 20*3=60, Resulting Numbers: [29, 60]
Generated Node #3: [29, 60] from Operation: 20*3=60
Current State: 89:[29, 60], Operations: ['14-11=3', '20*3=60']
Exploring Operation: 29+60=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
28,
81,
96,
17
] | 42 | [
"28*96=2688",
"81-17=64",
"2688/64=42"
] | Current State: 42:[28, 81, 96, 17], Operations: []
Exploring Operation: 28*96=2688, Resulting Numbers: [81, 17, 2688]
Generated Node #2: [81, 17, 2688] from Operation: 28*96=2688
Current State: 42:[81, 17, 2688], Operations: ['28*96=2688']
Exploring Operation: 81-17=64, Resulting Numbers: [2688, 64]
Generated Node #3: [2688, 64] from Operation: 81-17=64
Current State: 42:[2688, 64], Operations: ['28*96=2688', '81-17=64']
Exploring Operation: 2688/64=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
7,
25,
48,
80
] | 49 | [
"25+48=73",
"80-73=7",
"7*7=49"
] | Current State: 49:[7, 25, 48, 80], Operations: []
Exploring Operation: 25+48=73, Resulting Numbers: [7, 80, 73]
Generated Node #2: [7, 80, 73] from Operation: 25+48=73
Current State: 49:[7, 80, 73], Operations: ['25+48=73']
Exploring Operation: 80-73=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 80-73=7
Current State: 49:[7, 7], Operations: ['25+48=73', '80-73=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
96,
90,
21,
43
] | 70 | [
"96-90=6",
"21+43=64",
"6+64=70"
] | Current State: 70:[96, 90, 21, 43], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [21, 43, 6]
Generated Node #2: [21, 43, 6] from Operation: 96-90=6
Current State: 70:[21, 43, 6], Operations: ['96-90=6']
Exploring Operation: 21+43=64, Resulting Numbers: [6, 64]
Generated Node #3: [6, 64] from Operation: 21+43=64
Current State: 70:[6, 64], Operations: ['96-90=6', '21+43=64']
Exploring Operation: 6+64=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
45,
98,
23,
1
] | 76 | [
"98-45=53",
"23*1=23",
"53+23=76"
] | Current State: 76:[45, 98, 23, 1], Operations: []
Exploring Operation: 98-45=53, Resulting Numbers: [23, 1, 53]
Generated Node #2: [23, 1, 53] from Operation: 98-45=53
Current State: 76:[23, 1, 53], Operations: ['98-45=53']
Exploring Operation: 23*1=23, Resulting Numbers: [53, 23]
Generated Node #3: [53, 23] from Operation: 23*1=23
Current State: 76:[53, 23], Operations: ['98-45=53', '23*1=23']
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
9,
79,
24,
16
] | 31 | [
"79-16=63",
"63/9=7",
"24+7=31"
] | Current State: 31:[9, 79, 24, 16], Operations: []
Exploring Operation: 79-16=63, Resulting Numbers: [9, 24, 63]
Generated Node #2: [9, 24, 63] from Operation: 79-16=63
Current State: 31:[9, 24, 63], Operations: ['79-16=63']
Exploring Operation: 63/9=7, Resulting Numbers: [24, 7]
Generated Node #3: [24, 7] from Operation: 63/9=7
Current State: 31:[24, 7], Operations: ['79-16=63', '63/9=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
83,
20,
87,
5
] | 16 | [
"87-83=4",
"20/5=4",
"4*4=16"
] | Current State: 16:[83, 20, 87, 5], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [20, 5, 4]
Generated Node #2: [20, 5, 4] from Operation: 87-83=4
Current State: 16:[20, 5, 4], Operations: ['87-83=4']
Exploring Operation: 20/5=4, Resulting Numbers: [4, 4]
Generated Node #3: [4, 4] from Operation: 20/5=4
Current State: 16:[4, 4], Operations: ['87-83=4', '20/5=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
40,
8,
30,
92
] | 63 | [
"92-8=84",
"30*84=2520",
"2520/40=63"
] | Current State: 63:[40, 8, 30, 92], Operations: []
Exploring Operation: 92-8=84, Resulting Numbers: [40, 30, 84]
Generated Node #2: [40, 30, 84] from Operation: 92-8=84
Current State: 63:[40, 30, 84], Operations: ['92-8=84']
Exploring Operation: 30*84=2520, Resulting Numbers: [40, 2520]
Generated Node #3: [40, 2520] from Operation: 30*84=2520
Current State: 63:[40, 2520], Operations: ['92-8=84', '30*84=2520']
Exploring Operation: 2520/40=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
88,
54,
38,
62
] | 66 | [
"88-54=34",
"38+62=100",
"100-34=66"
] | Current State: 66:[88, 54, 38, 62], Operations: []
Exploring Operation: 88-54=34, Resulting Numbers: [38, 62, 34]
Generated Node #2: [38, 62, 34] from Operation: 88-54=34
Current State: 66:[38, 62, 34], Operations: ['88-54=34']
Exploring Operation: 38+62=100, Resulting Numbers: [34, 100]
Generated Node #3: [34, 100] from Operation: 38+62=100
Current State: 66:[34, 100], Operations: ['88-54=34', '38+62=100']
Exploring Operation: 100-34=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
7,
99,
44,
3
] | 76 | [
"7*3=21",
"99-44=55",
"21+55=76"
] | Current State: 76:[7, 99, 44, 3], Operations: []
Exploring Operation: 7*3=21, Resulting Numbers: [99, 44, 21]
Generated Node #2: [99, 44, 21] from Operation: 7*3=21
Current State: 76:[99, 44, 21], Operations: ['7*3=21']
Exploring Operation: 99-44=55, Resulting Numbers: [21, 55]
Generated Node #3: [21, 55] from Operation: 99-44=55
Current State: 76:[21, 55], Operations: ['7*3=21', '99-44=55']
Exploring Operation: 21+55=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
30,
92,
38,
9
] | 24 | [
"92-38=54",
"54/9=6",
"30-6=24"
] | Current State: 24:[30, 92, 38, 9], Operations: []
Exploring Operation: 92-38=54, Resulting Numbers: [30, 9, 54]
Generated Node #2: [30, 9, 54] from Operation: 92-38=54
Current State: 24:[30, 9, 54], Operations: ['92-38=54']
Exploring Operation: 54/9=6, Resulting Numbers: [30, 6]
Generated Node #3: [30, 6] from Operation: 54/9=6
Current State: 24:[30, 6], Operations: ['92-38=54', '54/9=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
79,
15,
26,
35
] | 55 | [
"79-15=64",
"35-26=9",
"64-9=55"
] | Current State: 55:[79, 15, 26, 35], Operations: []
Exploring Operation: 79-15=64, Resulting Numbers: [26, 35, 64]
Generated Node #2: [26, 35, 64] from Operation: 79-15=64
Current State: 55:[26, 35, 64], Operations: ['79-15=64']
Exploring Operation: 35-26=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 35-26=9
Current State: 55:[64, 9], Operations: ['79-15=64', '35-26=9']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
21,
28,
7,
66
] | 49 | [
"66-21=45",
"28/7=4",
"45+4=49"
] | Current State: 49:[21, 28, 7, 66], Operations: []
Exploring Operation: 66-21=45, Resulting Numbers: [28, 7, 45]
Generated Node #2: [28, 7, 45] from Operation: 66-21=45
Current State: 49:[28, 7, 45], Operations: ['66-21=45']
Exploring Operation: 28/7=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 28/7=4
Current State: 49:[45, 4], Operations: ['66-21=45', '28/7=4']
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
91,
18,
92,
94
] | 71 | [
"91-18=73",
"94-92=2",
"73-2=71"
] | Current State: 71:[91, 18, 92, 94], Operations: []
Exploring Operation: 91-18=73, Resulting Numbers: [92, 94, 73]
Generated Node #2: [92, 94, 73] from Operation: 91-18=73
Current State: 71:[92, 94, 73], Operations: ['91-18=73']
Exploring Operation: 94-92=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 94-92=2
Current State: 71:[73, 2], Operations: ['91-18=73', '94-92=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
73,
33,
13,
2
] | 67 | [
"73-33=40",
"2*40=80",
"80-13=67"
] | Current State: 67:[73, 33, 13, 2], Operations: []
Exploring Operation: 73-33=40, Resulting Numbers: [13, 2, 40]
Generated Node #2: [13, 2, 40] from Operation: 73-33=40
Current State: 67:[13, 2, 40], Operations: ['73-33=40']
Exploring Operation: 2*40=80, Resulting Numbers: [13, 80]
Generated Node #3: [13, 80] from Operation: 2*40=80
Current State: 67:[13, 80], Operations: ['73-33=40', '2*40=80']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
18,
8,
55,
14
] | 85 | [
"18-8=10",
"14*10=140",
"140-55=85"
] | Current State: 85:[18, 8, 55, 14], Operations: []
Exploring Operation: 18-8=10, Resulting Numbers: [55, 14, 10]
Generated Node #2: [55, 14, 10] from Operation: 18-8=10
Current State: 85:[55, 14, 10], Operations: ['18-8=10']
Exploring Operation: 14*10=140, Resulting Numbers: [55, 140]
Generated Node #3: [55, 140] from Operation: 14*10=140
Current State: 85:[55, 140], Operations: ['18-8=10', '14*10=140']
Exploring Operation: 140-55=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
83,
96,
53,
78
] | 47 | [
"96-83=13",
"78/13=6",
"53-6=47"
] | Current State: 47:[83, 96, 53, 78], Operations: []
Exploring Operation: 96-83=13, Resulting Numbers: [53, 78, 13]
Generated Node #2: [53, 78, 13] from Operation: 96-83=13
Current State: 47:[53, 78, 13], Operations: ['96-83=13']
Exploring Operation: 78/13=6, Resulting Numbers: [53, 6]
Generated Node #3: [53, 6] from Operation: 78/13=6
Current State: 47:[53, 6], Operations: ['96-83=13', '78/13=6']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
12,
44,
10,
98
] | 53 | [
"10+98=108",
"108/12=9",
"44+9=53"
] | Current State: 53:[12, 44, 10, 98], Operations: []
Exploring Operation: 10+98=108, Resulting Numbers: [12, 44, 108]
Generated Node #2: [12, 44, 108] from Operation: 10+98=108
Current State: 53:[12, 44, 108], Operations: ['10+98=108']
Exploring Operation: 108/12=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 108/12=9
Current State: 53:[44, 9], Operations: ['10+98=108', '108/12=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
70,
3,
45,
77
] | 99 | [
"70-3=67",
"77-45=32",
"67+32=99"
] | Current State: 99:[70, 3, 45, 77], Operations: []
Exploring Operation: 70-3=67, Resulting Numbers: [45, 77, 67]
Generated Node #2: [45, 77, 67] from Operation: 70-3=67
Current State: 99:[45, 77, 67], Operations: ['70-3=67']
Exploring Operation: 77-45=32, Resulting Numbers: [67, 32]
Generated Node #3: [67, 32] from Operation: 77-45=32
Current State: 99:[67, 32], Operations: ['70-3=67', '77-45=32']
Exploring Operation: 67+32=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
84,
39,
84,
49
] | 87 | [
"84/84=1",
"39+49=88",
"88-1=87"
] | Current State: 87:[84, 39, 84, 49], Operations: []
Exploring Operation: 84/84=1, Resulting Numbers: [39, 49, 1]
Generated Node #2: [39, 49, 1] from Operation: 84/84=1
Current State: 87:[39, 49, 1], Operations: ['84/84=1']
Exploring Operation: 39+49=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 39+49=88
Current State: 87:[1, 88], Operations: ['84/84=1', '39+49=88']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
82,
13,
8,
27
] | 77 | [
"13+27=40",
"40/8=5",
"82-5=77"
] | Current State: 77:[82, 13, 8, 27], Operations: []
Exploring Operation: 13+27=40, Resulting Numbers: [82, 8, 40]
Generated Node #2: [82, 8, 40] from Operation: 13+27=40
Current State: 77:[82, 8, 40], Operations: ['13+27=40']
Exploring Operation: 40/8=5, Resulting Numbers: [82, 5]
Generated Node #3: [82, 5] from Operation: 40/8=5
Current State: 77:[82, 5], Operations: ['13+27=40', '40/8=5']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
98,
3,
51,
73
] | 29 | [
"98-3=95",
"51+73=124",
"124-95=29"
] | Current State: 29:[98, 3, 51, 73], Operations: []
Exploring Operation: 98-3=95, Resulting Numbers: [51, 73, 95]
Generated Node #2: [51, 73, 95] from Operation: 98-3=95
Current State: 29:[51, 73, 95], Operations: ['98-3=95']
Exploring Operation: 51+73=124, Resulting Numbers: [95, 124]
Generated Node #3: [95, 124] from Operation: 51+73=124
Current State: 29:[95, 124], Operations: ['98-3=95', '51+73=124']
Exploring Operation: 124-95=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
16,
9,
43,
77
] | 85 | [
"16*43=688",
"77+688=765",
"765/9=85"
] | Current State: 85:[16, 9, 43, 77], Operations: []
Exploring Operation: 16*43=688, Resulting Numbers: [9, 77, 688]
Generated Node #2: [9, 77, 688] from Operation: 16*43=688
Current State: 85:[9, 77, 688], Operations: ['16*43=688']
Exploring Operation: 77+688=765, Resulting Numbers: [9, 765]
Generated Node #3: [9, 765] from Operation: 77+688=765
Current State: 85:[9, 765], Operations: ['16*43=688', '77+688=765']
Exploring Operation: 765/9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
75,
17,
37,
44
] | 16 | [
"17*37=629",
"75+629=704",
"704/44=16"
] | Current State: 16:[75, 17, 37, 44], Operations: []
Exploring Operation: 17*37=629, Resulting Numbers: [75, 44, 629]
Generated Node #2: [75, 44, 629] from Operation: 17*37=629
Current State: 16:[75, 44, 629], Operations: ['17*37=629']
Exploring Operation: 75+629=704, Resulting Numbers: [44, 704]
Generated Node #3: [44, 704] from Operation: 75+629=704
Current State: 16:[44, 704], Operations: ['17*37=629', '75+629=704']
Exploring Operation: 704/44=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
29,
51,
94,
81
] | 67 | [
"29+51=80",
"94-81=13",
"80-13=67"
] | Current State: 67:[29, 51, 94, 81], Operations: []
Exploring Operation: 29+51=80, Resulting Numbers: [94, 81, 80]
Generated Node #2: [94, 81, 80] from Operation: 29+51=80
Current State: 67:[94, 81, 80], Operations: ['29+51=80']
Exploring Operation: 94-81=13, Resulting Numbers: [80, 13]
Generated Node #3: [80, 13] from Operation: 94-81=13
Current State: 67:[80, 13], Operations: ['29+51=80', '94-81=13']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
26,
19,
6,
2
] | 44 | [
"26-19=7",
"6*7=42",
"2+42=44"
] | Current State: 44:[26, 19, 6, 2], Operations: []
Exploring Operation: 26-19=7, Resulting Numbers: [6, 2, 7]
Generated Node #2: [6, 2, 7] from Operation: 26-19=7
Current State: 44:[6, 2, 7], Operations: ['26-19=7']
Exploring Operation: 6*7=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 6*7=42
Current State: 44:[2, 42], Operations: ['26-19=7', '6*7=42']
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
56,
30,
33,
7
] | 49 | [
"56-30=26",
"33-26=7",
"7*7=49"
] | Current State: 49:[56, 30, 33, 7], Operations: []
Exploring Operation: 56-30=26, Resulting Numbers: [33, 7, 26]
Generated Node #2: [33, 7, 26] from Operation: 56-30=26
Current State: 49:[33, 7, 26], Operations: ['56-30=26']
Exploring Operation: 33-26=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 33-26=7
Current State: 49:[7, 7], Operations: ['56-30=26', '33-26=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
41,
54,
90,
19
] | 96 | [
"54-41=13",
"90+19=109",
"109-13=96"
] | Current State: 96:[41, 54, 90, 19], Operations: []
Exploring Operation: 54-41=13, Resulting Numbers: [90, 19, 13]
Generated Node #2: [90, 19, 13] from Operation: 54-41=13
Current State: 96:[90, 19, 13], Operations: ['54-41=13']
Exploring Operation: 90+19=109, Resulting Numbers: [13, 109]
Generated Node #3: [13, 109] from Operation: 90+19=109
Current State: 96:[13, 109], Operations: ['54-41=13', '90+19=109']
Exploring Operation: 109-13=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
44,
52,
45,
72
] | 54 | [
"52-44=8",
"72/8=9",
"45+9=54"
] | Current State: 54:[44, 52, 45, 72], Operations: []
Exploring Operation: 52-44=8, Resulting Numbers: [45, 72, 8]
Generated Node #2: [45, 72, 8] from Operation: 52-44=8
Current State: 54:[45, 72, 8], Operations: ['52-44=8']
Exploring Operation: 72/8=9, Resulting Numbers: [45, 9]
Generated Node #3: [45, 9] from Operation: 72/8=9
Current State: 54:[45, 9], Operations: ['52-44=8', '72/8=9']
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
7,
87,
10,
75
] | 82 | [
"7*10=70",
"87-75=12",
"70+12=82"
] | Current State: 82:[7, 87, 10, 75], Operations: []
Exploring Operation: 7*10=70, Resulting Numbers: [87, 75, 70]
Generated Node #2: [87, 75, 70] from Operation: 7*10=70
Current State: 82:[87, 75, 70], Operations: ['7*10=70']
Exploring Operation: 87-75=12, Resulting Numbers: [70, 12]
Generated Node #3: [70, 12] from Operation: 87-75=12
Current State: 82:[70, 12], Operations: ['7*10=70', '87-75=12']
Exploring Operation: 70+12=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
92,
40,
23,
88
] | 44 | [
"92/23=4",
"88-40=48",
"48-4=44"
] | Current State: 44:[92, 40, 23, 88], Operations: []
Exploring Operation: 92/23=4, Resulting Numbers: [40, 88, 4]
Generated Node #2: [40, 88, 4] from Operation: 92/23=4
Current State: 44:[40, 88, 4], Operations: ['92/23=4']
Exploring Operation: 88-40=48, Resulting Numbers: [4, 48]
Generated Node #3: [4, 48] from Operation: 88-40=48
Current State: 44:[4, 48], Operations: ['92/23=4', '88-40=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
98,
92,
85,
2
] | 88 | [
"98-92=6",
"6/2=3",
"85+3=88"
] | Current State: 88:[98, 92, 85, 2], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [85, 2, 6]
Generated Node #2: [85, 2, 6] from Operation: 98-92=6
Current State: 88:[85, 2, 6], Operations: ['98-92=6']
Exploring Operation: 6/2=3, Resulting Numbers: [85, 3]
Generated Node #3: [85, 3] from Operation: 6/2=3
Current State: 88:[85, 3], Operations: ['98-92=6', '6/2=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
15,
21,
97,
23
] | 38 | [
"15+21=36",
"97-23=74",
"74-36=38"
] | Current State: 38:[15, 21, 97, 23], Operations: []
Exploring Operation: 15+21=36, Resulting Numbers: [97, 23, 36]
Generated Node #2: [97, 23, 36] from Operation: 15+21=36
Current State: 38:[97, 23, 36], Operations: ['15+21=36']
Exploring Operation: 97-23=74, Resulting Numbers: [36, 74]
Generated Node #3: [36, 74] from Operation: 97-23=74
Current State: 38:[36, 74], Operations: ['15+21=36', '97-23=74']
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
89,
86,
2,
52
] | 53 | [
"89-86=3",
"52-2=50",
"3+50=53"
] | Current State: 53:[89, 86, 2, 52], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [2, 52, 3]
Generated Node #2: [2, 52, 3] from Operation: 89-86=3
Current State: 53:[2, 52, 3], Operations: ['89-86=3']
Exploring Operation: 52-2=50, Resulting Numbers: [3, 50]
Generated Node #3: [3, 50] from Operation: 52-2=50
Current State: 53:[3, 50], Operations: ['89-86=3', '52-2=50']
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
16,
50,
67,
94
] | 58 | [
"50+94=144",
"144/16=9",
"67-9=58"
] | Current State: 58:[16, 50, 67, 94], Operations: []
Exploring Operation: 50+94=144, Resulting Numbers: [16, 67, 144]
Generated Node #2: [16, 67, 144] from Operation: 50+94=144
Current State: 58:[16, 67, 144], Operations: ['50+94=144']
Exploring Operation: 144/16=9, Resulting Numbers: [67, 9]
Generated Node #3: [67, 9] from Operation: 144/16=9
Current State: 58:[67, 9], Operations: ['50+94=144', '144/16=9']
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
94,
8,
67,
22
] | 40 | [
"94-67=27",
"27-22=5",
"8*5=40"
] | Current State: 40:[94, 8, 67, 22], Operations: []
Exploring Operation: 94-67=27, Resulting Numbers: [8, 22, 27]
Generated Node #2: [8, 22, 27] from Operation: 94-67=27
Current State: 40:[8, 22, 27], Operations: ['94-67=27']
Exploring Operation: 27-22=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 27-22=5
Current State: 40:[8, 5], Operations: ['94-67=27', '27-22=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
96,
81,
38,
65
] | 32 | [
"81-65=16",
"96/16=6",
"38-6=32"
] | Current State: 32:[96, 81, 38, 65], Operations: []
Exploring Operation: 81-65=16, Resulting Numbers: [96, 38, 16]
Generated Node #2: [96, 38, 16] from Operation: 81-65=16
Current State: 32:[96, 38, 16], Operations: ['81-65=16']
Exploring Operation: 96/16=6, Resulting Numbers: [38, 6]
Generated Node #3: [38, 6] from Operation: 96/16=6
Current State: 32:[38, 6], Operations: ['81-65=16', '96/16=6']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
40,
18,
27,
28
] | 32 | [
"40*27=1080",
"1080/18=60",
"60-28=32"
] | Current State: 32:[40, 18, 27, 28], Operations: []
Exploring Operation: 40*27=1080, Resulting Numbers: [18, 28, 1080]
Generated Node #2: [18, 28, 1080] from Operation: 40*27=1080
Current State: 32:[18, 28, 1080], Operations: ['40*27=1080']
Exploring Operation: 1080/18=60, Resulting Numbers: [28, 60]
Generated Node #3: [28, 60] from Operation: 1080/18=60
Current State: 32:[28, 60], Operations: ['40*27=1080', '1080/18=60']
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
8,
7,
84,
52
] | 21 | [
"8*7=56",
"56-52=4",
"84/4=21"
] | Current State: 21:[8, 7, 84, 52], Operations: []
Exploring Operation: 8*7=56, Resulting Numbers: [84, 52, 56]
Generated Node #2: [84, 52, 56] from Operation: 8*7=56
Current State: 21:[84, 52, 56], Operations: ['8*7=56']
Exploring Operation: 56-52=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 56-52=4
Current State: 21:[84, 4], Operations: ['8*7=56', '56-52=4']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
28,
69,
78,
82
] | 39 | [
"69-28=41",
"78*41=3198",
"3198/82=39"
] | Current State: 39:[28, 69, 78, 82], Operations: []
Exploring Operation: 69-28=41, Resulting Numbers: [78, 82, 41]
Generated Node #2: [78, 82, 41] from Operation: 69-28=41
Current State: 39:[78, 82, 41], Operations: ['69-28=41']
Exploring Operation: 78*41=3198, Resulting Numbers: [82, 3198]
Generated Node #3: [82, 3198] from Operation: 78*41=3198
Current State: 39:[82, 3198], Operations: ['69-28=41', '78*41=3198']
Exploring Operation: 3198/82=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
83,
18,
83,
16
] | 83 | [
"83+83=166",
"18-16=2",
"166/2=83"
] | Current State: 83:[83, 18, 83, 16], Operations: []
Exploring Operation: 83+83=166, Resulting Numbers: [18, 16, 166]
Generated Node #2: [18, 16, 166] from Operation: 83+83=166
Current State: 83:[18, 16, 166], Operations: ['83+83=166']
Exploring Operation: 18-16=2, Resulting Numbers: [166, 2]
Generated Node #3: [166, 2] from Operation: 18-16=2
Current State: 83:[166, 2], Operations: ['83+83=166', '18-16=2']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
3,
38,
56,
96
] | 81 | [
"3+38=41",
"96-56=40",
"41+40=81"
] | Current State: 81:[3, 38, 56, 96], Operations: []
Exploring Operation: 3+38=41, Resulting Numbers: [56, 96, 41]
Generated Node #2: [56, 96, 41] from Operation: 3+38=41
Current State: 81:[56, 96, 41], Operations: ['3+38=41']
Exploring Operation: 96-56=40, Resulting Numbers: [41, 40]
Generated Node #3: [41, 40] from Operation: 96-56=40
Current State: 81:[41, 40], Operations: ['3+38=41', '96-56=40']
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
60,
90,
61,
65
] | 79 | [
"65-60=5",
"90/5=18",
"61+18=79"
] | Current State: 79:[60, 90, 61, 65], Operations: []
Exploring Operation: 65-60=5, Resulting Numbers: [90, 61, 5]
Generated Node #2: [90, 61, 5] from Operation: 65-60=5
Current State: 79:[90, 61, 5], Operations: ['65-60=5']
Exploring Operation: 90/5=18, Resulting Numbers: [61, 18]
Generated Node #3: [61, 18] from Operation: 90/5=18
Current State: 79:[61, 18], Operations: ['65-60=5', '90/5=18']
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
60,
82,
42,
11
] | 75 | [
"82-60=22",
"42+11=53",
"22+53=75"
] | Current State: 75:[60, 82, 42, 11], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [42, 11, 22]
Generated Node #2: [42, 11, 22] from Operation: 82-60=22
Current State: 75:[42, 11, 22], Operations: ['82-60=22']
Exploring Operation: 42+11=53, Resulting Numbers: [22, 53]
Generated Node #3: [22, 53] from Operation: 42+11=53
Current State: 75:[22, 53], Operations: ['82-60=22', '42+11=53']
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
58,
38,
32,
76
] | 74 | [
"38*32=1216",
"1216/76=16",
"58+16=74"
] | Current State: 74:[58, 38, 32, 76], Operations: []
Exploring Operation: 38*32=1216, Resulting Numbers: [58, 76, 1216]
Generated Node #2: [58, 76, 1216] from Operation: 38*32=1216
Current State: 74:[58, 76, 1216], Operations: ['38*32=1216']
Exploring Operation: 1216/76=16, Resulting Numbers: [58, 16]
Generated Node #3: [58, 16] from Operation: 1216/76=16
Current State: 74:[58, 16], Operations: ['38*32=1216', '1216/76=16']
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
72,
40,
2,
21
] | 70 | [
"72+40=112",
"2*21=42",
"112-42=70"
] | Current State: 70:[72, 40, 2, 21], Operations: []
Exploring Operation: 72+40=112, Resulting Numbers: [2, 21, 112]
Generated Node #2: [2, 21, 112] from Operation: 72+40=112
Current State: 70:[2, 21, 112], Operations: ['72+40=112']
Exploring Operation: 2*21=42, Resulting Numbers: [112, 42]
Generated Node #3: [112, 42] from Operation: 2*21=42
Current State: 70:[112, 42], Operations: ['72+40=112', '2*21=42']
Exploring Operation: 112-42=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
88,
5,
39,
22
] | 86 | [
"5+39=44",
"44/22=2",
"88-2=86"
] | Current State: 86:[88, 5, 39, 22], Operations: []
Exploring Operation: 5+39=44, Resulting Numbers: [88, 22, 44]
Generated Node #2: [88, 22, 44] from Operation: 5+39=44
Current State: 86:[88, 22, 44], Operations: ['5+39=44']
Exploring Operation: 44/22=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 44/22=2
Current State: 86:[88, 2], Operations: ['5+39=44', '44/22=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
59,
15,
58,
82
] | 97 | [
"59-58=1",
"15+82=97",
"1*97=97"
] | Current State: 97:[59, 15, 58, 82], Operations: []
Exploring Operation: 59-58=1, Resulting Numbers: [15, 82, 1]
Generated Node #2: [15, 82, 1] from Operation: 59-58=1
Current State: 97:[15, 82, 1], Operations: ['59-58=1']
Exploring Operation: 15+82=97, Resulting Numbers: [1, 97]
Generated Node #3: [1, 97] from Operation: 15+82=97
Current State: 97:[1, 97], Operations: ['59-58=1', '15+82=97']
Exploring Operation: 1*97=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
96,
67,
2,
33
] | 31 | [
"96-67=29",
"33+29=62",
"62/2=31"
] | Current State: 31:[96, 67, 2, 33], Operations: []
Exploring Operation: 96-67=29, Resulting Numbers: [2, 33, 29]
Generated Node #2: [2, 33, 29] from Operation: 96-67=29
Current State: 31:[2, 33, 29], Operations: ['96-67=29']
Exploring Operation: 33+29=62, Resulting Numbers: [2, 62]
Generated Node #3: [2, 62] from Operation: 33+29=62
Current State: 31:[2, 62], Operations: ['96-67=29', '33+29=62']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
45,
95,
55,
19
] | 56 | [
"95/19=5",
"55/5=11",
"45+11=56"
] | Current State: 56:[45, 95, 55, 19], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [45, 55, 5]
Generated Node #2: [45, 55, 5] from Operation: 95/19=5
Current State: 56:[45, 55, 5], Operations: ['95/19=5']
Exploring Operation: 55/5=11, Resulting Numbers: [45, 11]
Generated Node #3: [45, 11] from Operation: 55/5=11
Current State: 56:[45, 11], Operations: ['95/19=5', '55/5=11']
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
59,
2,
39,
9
] | 97 | [
"59+9=68",
"2*68=136",
"136-39=97"
] | Current State: 97:[59, 2, 39, 9], Operations: []
Exploring Operation: 59+9=68, Resulting Numbers: [2, 39, 68]
Generated Node #2: [2, 39, 68] from Operation: 59+9=68
Current State: 97:[2, 39, 68], Operations: ['59+9=68']
Exploring Operation: 2*68=136, Resulting Numbers: [39, 136]
Generated Node #3: [39, 136] from Operation: 2*68=136
Current State: 97:[39, 136], Operations: ['59+9=68', '2*68=136']
Exploring Operation: 136-39=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
20,
36,
7,
60
] | 19 | [
"20*36=720",
"720/60=12",
"7+12=19"
] | Current State: 19:[20, 36, 7, 60], Operations: []
Exploring Operation: 20*36=720, Resulting Numbers: [7, 60, 720]
Generated Node #2: [7, 60, 720] from Operation: 20*36=720
Current State: 19:[7, 60, 720], Operations: ['20*36=720']
Exploring Operation: 720/60=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 720/60=12
Current State: 19:[7, 12], Operations: ['20*36=720', '720/60=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
66,
4,
59,
44
] | 85 | [
"66+4=70",
"59-44=15",
"70+15=85"
] | Current State: 85:[66, 4, 59, 44], Operations: []
Exploring Operation: 66+4=70, Resulting Numbers: [59, 44, 70]
Generated Node #2: [59, 44, 70] from Operation: 66+4=70
Current State: 85:[59, 44, 70], Operations: ['66+4=70']
Exploring Operation: 59-44=15, Resulting Numbers: [70, 15]
Generated Node #3: [70, 15] from Operation: 59-44=15
Current State: 85:[70, 15], Operations: ['66+4=70', '59-44=15']
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
78,
23,
71,
15
] | 82 | [
"78-71=7",
"15*7=105",
"105-23=82"
] | Current State: 82:[78, 23, 71, 15], Operations: []
Exploring Operation: 78-71=7, Resulting Numbers: [23, 15, 7]
Generated Node #2: [23, 15, 7] from Operation: 78-71=7
Current State: 82:[23, 15, 7], Operations: ['78-71=7']
Exploring Operation: 15*7=105, Resulting Numbers: [23, 105]
Generated Node #3: [23, 105] from Operation: 15*7=105
Current State: 82:[23, 105], Operations: ['78-71=7', '15*7=105']
Exploring Operation: 105-23=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
76,
38,
81,
53
] | 20 | [
"76+38=114",
"81+53=134",
"134-114=20"
] | Current State: 20:[76, 38, 81, 53], Operations: []
Exploring Operation: 76+38=114, Resulting Numbers: [81, 53, 114]
Generated Node #2: [81, 53, 114] from Operation: 76+38=114
Current State: 20:[81, 53, 114], Operations: ['76+38=114']
Exploring Operation: 81+53=134, Resulting Numbers: [114, 134]
Generated Node #3: [114, 134] from Operation: 81+53=134
Current State: 20:[114, 134], Operations: ['76+38=114', '81+53=134']
Exploring Operation: 134-114=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
96,
46,
42,
91
] | 94 | [
"96+42=138",
"138/46=3",
"91+3=94"
] | Current State: 94:[96, 46, 42, 91], Operations: []
Exploring Operation: 96+42=138, Resulting Numbers: [46, 91, 138]
Generated Node #2: [46, 91, 138] from Operation: 96+42=138
Current State: 94:[46, 91, 138], Operations: ['96+42=138']
Exploring Operation: 138/46=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 138/46=3
Current State: 94:[91, 3], Operations: ['96+42=138', '138/46=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
96,
21,
57,
4
] | 33 | [
"96-21=75",
"57+75=132",
"132/4=33"
] | Current State: 33:[96, 21, 57, 4], Operations: []
Exploring Operation: 96-21=75, Resulting Numbers: [57, 4, 75]
Generated Node #2: [57, 4, 75] from Operation: 96-21=75
Current State: 33:[57, 4, 75], Operations: ['96-21=75']
Exploring Operation: 57+75=132, Resulting Numbers: [4, 132]
Generated Node #3: [4, 132] from Operation: 57+75=132
Current State: 33:[4, 132], Operations: ['96-21=75', '57+75=132']
Exploring Operation: 132/4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
2,
71,
45,
73
] | 49 | [
"71-2=69",
"45+73=118",
"118-69=49"
] | Current State: 49:[2, 71, 45, 73], Operations: []
Exploring Operation: 71-2=69, Resulting Numbers: [45, 73, 69]
Generated Node #2: [45, 73, 69] from Operation: 71-2=69
Current State: 49:[45, 73, 69], Operations: ['71-2=69']
Exploring Operation: 45+73=118, Resulting Numbers: [69, 118]
Generated Node #3: [69, 118] from Operation: 45+73=118
Current State: 49:[69, 118], Operations: ['71-2=69', '45+73=118']
Exploring Operation: 118-69=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
17,
5,
2,
19
] | 39 | [
"17+5=22",
"19-2=17",
"22+17=39"
] | Current State: 39:[17, 5, 2, 19], Operations: []
Exploring Operation: 17+5=22, Resulting Numbers: [2, 19, 22]
Generated Node #2: [2, 19, 22] from Operation: 17+5=22
Current State: 39:[2, 19, 22], Operations: ['17+5=22']
Exploring Operation: 19-2=17, Resulting Numbers: [22, 17]
Generated Node #3: [22, 17] from Operation: 19-2=17
Current State: 39:[22, 17], Operations: ['17+5=22', '19-2=17']
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
96,
8,
96,
57
] | 65 | [
"96+8=104",
"96-57=39",
"104-39=65"
] | Current State: 65:[96, 8, 96, 57], Operations: []
Exploring Operation: 96+8=104, Resulting Numbers: [57, 104]
Generated Node #2: [57, 104] from Operation: 96+8=104
Current State: 65:[57, 104], Operations: ['96+8=104']
Exploring Operation: 96-57=39, Resulting Numbers: [104, 39]
Generated Node #3: [104, 39] from Operation: 96-57=39
Current State: 65:[104, 39], Operations: ['96+8=104', '96-57=39']
Exploring Operation: 104-39=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
6,
18,
20,
88
] | 65 | [
"18/6=3",
"88-20=68",
"68-3=65"
] | Current State: 65:[6, 18, 20, 88], Operations: []
Exploring Operation: 18/6=3, Resulting Numbers: [20, 88, 3]
Generated Node #2: [20, 88, 3] from Operation: 18/6=3
Current State: 65:[20, 88, 3], Operations: ['18/6=3']
Exploring Operation: 88-20=68, Resulting Numbers: [3, 68]
Generated Node #3: [3, 68] from Operation: 88-20=68
Current State: 65:[3, 68], Operations: ['18/6=3', '88-20=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
99,
70,
64,
94
] | 92 | [
"99-64=35",
"70/35=2",
"94-2=92"
] | Current State: 92:[99, 70, 64, 94], Operations: []
Exploring Operation: 99-64=35, Resulting Numbers: [70, 94, 35]
Generated Node #2: [70, 94, 35] from Operation: 99-64=35
Current State: 92:[70, 94, 35], Operations: ['99-64=35']
Exploring Operation: 70/35=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 70/35=2
Current State: 92:[94, 2], Operations: ['99-64=35', '70/35=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
89,
2,
67,
21
] | 90 | [
"89*2=178",
"67+21=88",
"178-88=90"
] | Current State: 90:[89, 2, 67, 21], Operations: []
Exploring Operation: 89*2=178, Resulting Numbers: [67, 21, 178]
Generated Node #2: [67, 21, 178] from Operation: 89*2=178
Current State: 90:[67, 21, 178], Operations: ['89*2=178']
Exploring Operation: 67+21=88, Resulting Numbers: [178, 88]
Generated Node #3: [178, 88] from Operation: 67+21=88
Current State: 90:[178, 88], Operations: ['89*2=178', '67+21=88']
Exploring Operation: 178-88=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
19,
83,
67,
75
] | 56 | [
"83-19=64",
"75-67=8",
"64-8=56"
] | Current State: 56:[19, 83, 67, 75], Operations: []
Exploring Operation: 83-19=64, Resulting Numbers: [67, 75, 64]
Generated Node #2: [67, 75, 64] from Operation: 83-19=64
Current State: 56:[67, 75, 64], Operations: ['83-19=64']
Exploring Operation: 75-67=8, Resulting Numbers: [64, 8]
Generated Node #3: [64, 8] from Operation: 75-67=8
Current State: 56:[64, 8], Operations: ['83-19=64', '75-67=8']
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
71,
6,
97,
71
] | 91 | [
"71+6=77",
"97+71=168",
"168-77=91"
] | Current State: 91:[71, 6, 97, 71], Operations: []
Exploring Operation: 71+6=77, Resulting Numbers: [97, 77]
Generated Node #2: [97, 77] from Operation: 71+6=77
Current State: 91:[97, 77], Operations: ['71+6=77']
Exploring Operation: 97+71=168, Resulting Numbers: [77, 168]
Generated Node #3: [77, 168] from Operation: 97+71=168
Current State: 91:[77, 168], Operations: ['71+6=77', '97+71=168']
Exploring Operation: 168-77=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
55,
89,
56,
2
] | 77 | [
"55*2=110",
"89-56=33",
"110-33=77"
] | Current State: 77:[55, 89, 56, 2], Operations: []
Exploring Operation: 55*2=110, Resulting Numbers: [89, 56, 110]
Generated Node #2: [89, 56, 110] from Operation: 55*2=110
Current State: 77:[89, 56, 110], Operations: ['55*2=110']
Exploring Operation: 89-56=33, Resulting Numbers: [110, 33]
Generated Node #3: [110, 33] from Operation: 89-56=33
Current State: 77:[110, 33], Operations: ['55*2=110', '89-56=33']
Exploring Operation: 110-33=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
61,
27,
61,
97
] | 52 | [
"61+27=88",
"97-61=36",
"88-36=52"
] | Current State: 52:[61, 27, 61, 97], Operations: []
Exploring Operation: 61+27=88, Resulting Numbers: [97, 88]
Generated Node #2: [97, 88] from Operation: 61+27=88
Current State: 52:[97, 88], Operations: ['61+27=88']
Exploring Operation: 97-61=36, Resulting Numbers: [88, 36]
Generated Node #3: [88, 36] from Operation: 97-61=36
Current State: 52:[88, 36], Operations: ['61+27=88', '97-61=36']
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
64,
97,
34,
76
] | 77 | [
"97-64=33",
"34+76=110",
"110-33=77"
] | Current State: 77:[64, 97, 34, 76], Operations: []
Exploring Operation: 97-64=33, Resulting Numbers: [34, 76, 33]
Generated Node #2: [34, 76, 33] from Operation: 97-64=33
Current State: 77:[34, 76, 33], Operations: ['97-64=33']
Exploring Operation: 34+76=110, Resulting Numbers: [33, 110]
Generated Node #3: [33, 110] from Operation: 34+76=110
Current State: 77:[33, 110], Operations: ['97-64=33', '34+76=110']
Exploring Operation: 110-33=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
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