nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
31,
15,
56,
55
] | 95 | [
"31-15=16",
"56+55=111",
"111-16=95"
] | Current State: 95:[31, 15, 56, 55], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [56, 55, 16]
Generated Node #2: [56, 55, 16] from Operation: 31-15=16
Current State: 95:[56, 55, 16], Operations: ['31-15=16']
Exploring Operation: 56+55=111, Resulting Numbers: [16, 111]
Generated Node #3: [16, 111] from Operation: 56+55=111
Current State: 95:[16, 111], Operations: ['31-15=16', '56+55=111']
Exploring Operation: 111-16=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
44,
55,
96,
40
] | 44 | [
"96-55=41",
"41-40=1",
"44*1=44"
] | Current State: 44:[44, 55, 96, 40], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [44, 40, 41]
Generated Node #2: [44, 40, 41] from Operation: 96-55=41
Current State: 44:[44, 40, 41], Operations: ['96-55=41']
Exploring Operation: 41-40=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 41-40=1
Current State: 44:[44, 1], Operations: ['96-55=41', '41-40=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
20,
2,
41,
69
] | 38 | [
"20/2=10",
"69-41=28",
"10+28=38"
] | Current State: 38:[20, 2, 41, 69], Operations: []
Exploring Operation: 20/2=10, Resulting Numbers: [41, 69, 10]
Generated Node #2: [41, 69, 10] from Operation: 20/2=10
Current State: 38:[41, 69, 10], Operations: ['20/2=10']
Exploring Operation: 69-41=28, Resulting Numbers: [10, 28]
Generated Node #3: [10, 28] from Operation: 69-41=28
Current State: 38:[10, 28], Operations: ['20/2=10', '69-41=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
14,
39,
2,
19
] | 45 | [
"14+19=33",
"39*2=78",
"78-33=45"
] | Current State: 45:[14, 39, 2, 19], Operations: []
Exploring Operation: 14+19=33, Resulting Numbers: [39, 2, 33]
Generated Node #2: [39, 2, 33] from Operation: 14+19=33
Current State: 45:[39, 2, 33], Operations: ['14+19=33']
Exploring Operation: 39*2=78, Resulting Numbers: [33, 78]
Generated Node #3: [33, 78] from Operation: 39*2=78
Current State: 45:[33, 78], Operations: ['14+19=33', '39*2=78']
Exploring Operation: 78-33=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
58,
56,
68,
34
] | 68 | [
"58-56=2",
"68-34=34",
"2*34=68"
] | Current State: 68:[58, 56, 68, 34], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [68, 34, 2]
Generated Node #2: [68, 34, 2] from Operation: 58-56=2
Current State: 68:[68, 34, 2], Operations: ['58-56=2']
Exploring Operation: 68-34=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 68-34=34
Current State: 68:[2, 34], Operations: ['58-56=2', '68-34=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
42,
89,
71,
71
] | 11 | [
"42+89=131",
"71+71=142",
"142-131=11"
] | Current State: 11:[42, 89, 71, 71], Operations: []
Exploring Operation: 42+89=131, Resulting Numbers: [71, 71, 131]
Generated Node #2: [71, 71, 131] from Operation: 42+89=131
Current State: 11:[71, 71, 131], Operations: ['42+89=131']
Exploring Operation: 71+71=142, Resulting Numbers: [131, 142]
Generated Node #3: [131, 142] from Operation: 71+71=142
Current State: 11:[131, 142], Operations: ['42+89=131', '71+71=142']
Exploring Operation: 142-131=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
24,
63,
21,
84
] | 23 | [
"63+21=84",
"84/84=1",
"24-1=23"
] | Current State: 23:[24, 63, 21, 84], Operations: []
Exploring Operation: 63+21=84, Resulting Numbers: [24, 84, 84]
Generated Node #2: [24, 84, 84] from Operation: 63+21=84
Current State: 23:[24, 84, 84], Operations: ['63+21=84']
Exploring Operation: 84/84=1, Resulting Numbers: [24, 1]
Generated Node #3: [24, 1] from Operation: 84/84=1
Current State: 23:[24, 1], Operations: ['63+21=84', '84/84=1']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
63,
55,
24,
29
] | 87 | [
"63-55=8",
"24*29=696",
"696/8=87"
] | Current State: 87:[63, 55, 24, 29], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [24, 29, 8]
Generated Node #2: [24, 29, 8] from Operation: 63-55=8
Current State: 87:[24, 29, 8], Operations: ['63-55=8']
Exploring Operation: 24*29=696, Resulting Numbers: [8, 696]
Generated Node #3: [8, 696] from Operation: 24*29=696
Current State: 87:[8, 696], Operations: ['63-55=8', '24*29=696']
Exploring Operation: 696/8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
84,
34,
3,
38
] | 72 | [
"38-34=4",
"3*4=12",
"84-12=72"
] | Current State: 72:[84, 34, 3, 38], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [84, 3, 4]
Generated Node #2: [84, 3, 4] from Operation: 38-34=4
Current State: 72:[84, 3, 4], Operations: ['38-34=4']
Exploring Operation: 3*4=12, Resulting Numbers: [84, 12]
Generated Node #3: [84, 12] from Operation: 3*4=12
Current State: 72:[84, 12], Operations: ['38-34=4', '3*4=12']
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
58,
63,
45,
60
] | 75 | [
"63-58=5",
"60-45=15",
"5*15=75"
] | Current State: 75:[58, 63, 45, 60], Operations: []
Exploring Operation: 63-58=5, Resulting Numbers: [45, 60, 5]
Generated Node #2: [45, 60, 5] from Operation: 63-58=5
Current State: 75:[45, 60, 5], Operations: ['63-58=5']
Exploring Operation: 60-45=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 60-45=15
Current State: 75:[5, 15], Operations: ['63-58=5', '60-45=15']
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
13,
55,
15,
75
] | 22 | [
"13+55=68",
"15+75=90",
"90-68=22"
] | Current State: 22:[13, 55, 15, 75], Operations: []
Exploring Operation: 13+55=68, Resulting Numbers: [15, 75, 68]
Generated Node #2: [15, 75, 68] from Operation: 13+55=68
Current State: 22:[15, 75, 68], Operations: ['13+55=68']
Exploring Operation: 15+75=90, Resulting Numbers: [68, 90]
Generated Node #3: [68, 90] from Operation: 15+75=90
Current State: 22:[68, 90], Operations: ['13+55=68', '15+75=90']
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
98,
35,
7,
39
] | 18 | [
"98/7=14",
"39-35=4",
"14+4=18"
] | Current State: 18:[98, 35, 7, 39], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [35, 39, 14]
Generated Node #2: [35, 39, 14] from Operation: 98/7=14
Current State: 18:[35, 39, 14], Operations: ['98/7=14']
Exploring Operation: 39-35=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 39-35=4
Current State: 18:[14, 4], Operations: ['98/7=14', '39-35=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
21,
24,
64,
83
] | 31 | [
"64+83=147",
"147/21=7",
"24+7=31"
] | Current State: 31:[21, 24, 64, 83], Operations: []
Exploring Operation: 64+83=147, Resulting Numbers: [21, 24, 147]
Generated Node #2: [21, 24, 147] from Operation: 64+83=147
Current State: 31:[21, 24, 147], Operations: ['64+83=147']
Exploring Operation: 147/21=7, Resulting Numbers: [24, 7]
Generated Node #3: [24, 7] from Operation: 147/21=7
Current State: 31:[24, 7], Operations: ['64+83=147', '147/21=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
77,
70,
68,
90
] | 26 | [
"90-77=13",
"70-68=2",
"13*2=26"
] | Current State: 26:[77, 70, 68, 90], Operations: []
Exploring Operation: 90-77=13, Resulting Numbers: [70, 68, 13]
Generated Node #2: [70, 68, 13] from Operation: 90-77=13
Current State: 26:[70, 68, 13], Operations: ['90-77=13']
Exploring Operation: 70-68=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 70-68=2
Current State: 26:[13, 2], Operations: ['90-77=13', '70-68=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
37,
44,
73,
14
] | 80 | [
"44-37=7",
"73+14=87",
"87-7=80"
] | Current State: 80:[37, 44, 73, 14], Operations: []
Exploring Operation: 44-37=7, Resulting Numbers: [73, 14, 7]
Generated Node #2: [73, 14, 7] from Operation: 44-37=7
Current State: 80:[73, 14, 7], Operations: ['44-37=7']
Exploring Operation: 73+14=87, Resulting Numbers: [7, 87]
Generated Node #3: [7, 87] from Operation: 73+14=87
Current State: 80:[7, 87], Operations: ['44-37=7', '73+14=87']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
43,
45,
72,
2
] | 73 | [
"45-43=2",
"2/2=1",
"72+1=73"
] | Current State: 73:[43, 45, 72, 2], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [72, 2, 2]
Generated Node #2: [72, 2, 2] from Operation: 45-43=2
Current State: 73:[72, 2, 2], Operations: ['45-43=2']
Exploring Operation: 2/2=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 2/2=1
Current State: 73:[72, 1], Operations: ['45-43=2', '2/2=1']
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
45,
89,
46
] | 86 | [
"45-2=43",
"89-46=43",
"43+43=86"
] | Current State: 86:[2, 45, 89, 46], Operations: []
Exploring Operation: 45-2=43, Resulting Numbers: [89, 46, 43]
Generated Node #2: [89, 46, 43] from Operation: 45-2=43
Current State: 86:[89, 46, 43], Operations: ['45-2=43']
Exploring Operation: 89-46=43, Resulting Numbers: [43, 43]
Generated Node #3: [43, 43] from Operation: 89-46=43
Current State: 86:[43, 43], Operations: ['45-2=43', '89-46=43']
Exploring Operation: 43+43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
25,
62,
47,
31
] | 41 | [
"62-25=37",
"47+31=78",
"78-37=41"
] | Current State: 41:[25, 62, 47, 31], Operations: []
Exploring Operation: 62-25=37, Resulting Numbers: [47, 31, 37]
Generated Node #2: [47, 31, 37] from Operation: 62-25=37
Current State: 41:[47, 31, 37], Operations: ['62-25=37']
Exploring Operation: 47+31=78, Resulting Numbers: [37, 78]
Generated Node #3: [37, 78] from Operation: 47+31=78
Current State: 41:[37, 78], Operations: ['62-25=37', '47+31=78']
Exploring Operation: 78-37=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
77,
99,
1,
86
] | 10 | [
"86-77=9",
"99/9=11",
"11-1=10"
] | Current State: 10:[77, 99, 1, 86], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [99, 1, 9]
Generated Node #2: [99, 1, 9] from Operation: 86-77=9
Current State: 10:[99, 1, 9], Operations: ['86-77=9']
Exploring Operation: 99/9=11, Resulting Numbers: [1, 11]
Generated Node #3: [1, 11] from Operation: 99/9=11
Current State: 10:[1, 11], Operations: ['86-77=9', '99/9=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
15,
46,
57,
29
] | 25 | [
"15+46=61",
"57+29=86",
"86-61=25"
] | Current State: 25:[15, 46, 57, 29], Operations: []
Exploring Operation: 15+46=61, Resulting Numbers: [57, 29, 61]
Generated Node #2: [57, 29, 61] from Operation: 15+46=61
Current State: 25:[57, 29, 61], Operations: ['15+46=61']
Exploring Operation: 57+29=86, Resulting Numbers: [61, 86]
Generated Node #3: [61, 86] from Operation: 57+29=86
Current State: 25:[61, 86], Operations: ['15+46=61', '57+29=86']
Exploring Operation: 86-61=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
53,
10,
61,
91
] | 33 | [
"53+10=63",
"91-61=30",
"63-30=33"
] | Current State: 33:[53, 10, 61, 91], Operations: []
Exploring Operation: 53+10=63, Resulting Numbers: [61, 91, 63]
Generated Node #2: [61, 91, 63] from Operation: 53+10=63
Current State: 33:[61, 91, 63], Operations: ['53+10=63']
Exploring Operation: 91-61=30, Resulting Numbers: [63, 30]
Generated Node #3: [63, 30] from Operation: 91-61=30
Current State: 33:[63, 30], Operations: ['53+10=63', '91-61=30']
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
56,
33,
90,
15
] | 95 | [
"56+33=89",
"90/15=6",
"89+6=95"
] | Current State: 95:[56, 33, 90, 15], Operations: []
Exploring Operation: 56+33=89, Resulting Numbers: [90, 15, 89]
Generated Node #2: [90, 15, 89] from Operation: 56+33=89
Current State: 95:[90, 15, 89], Operations: ['56+33=89']
Exploring Operation: 90/15=6, Resulting Numbers: [89, 6]
Generated Node #3: [89, 6] from Operation: 90/15=6
Current State: 95:[89, 6], Operations: ['56+33=89', '90/15=6']
Exploring Operation: 89+6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
90,
36,
28,
12
] | 94 | [
"90-36=54",
"28+12=40",
"54+40=94"
] | Current State: 94:[90, 36, 28, 12], Operations: []
Exploring Operation: 90-36=54, Resulting Numbers: [28, 12, 54]
Generated Node #2: [28, 12, 54] from Operation: 90-36=54
Current State: 94:[28, 12, 54], Operations: ['90-36=54']
Exploring Operation: 28+12=40, Resulting Numbers: [54, 40]
Generated Node #3: [54, 40] from Operation: 28+12=40
Current State: 94:[54, 40], Operations: ['90-36=54', '28+12=40']
Exploring Operation: 54+40=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
10,
56,
30,
2
] | 42 | [
"56-30=26",
"2*26=52",
"52-10=42"
] | Current State: 42:[10, 56, 30, 2], Operations: []
Exploring Operation: 56-30=26, Resulting Numbers: [10, 2, 26]
Generated Node #2: [10, 2, 26] from Operation: 56-30=26
Current State: 42:[10, 2, 26], Operations: ['56-30=26']
Exploring Operation: 2*26=52, Resulting Numbers: [10, 52]
Generated Node #3: [10, 52] from Operation: 2*26=52
Current State: 42:[10, 52], Operations: ['56-30=26', '2*26=52']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
75,
54,
56,
38
] | 39 | [
"75-54=21",
"56-38=18",
"21+18=39"
] | Current State: 39:[75, 54, 56, 38], Operations: []
Exploring Operation: 75-54=21, Resulting Numbers: [56, 38, 21]
Generated Node #2: [56, 38, 21] from Operation: 75-54=21
Current State: 39:[56, 38, 21], Operations: ['75-54=21']
Exploring Operation: 56-38=18, Resulting Numbers: [21, 18]
Generated Node #3: [21, 18] from Operation: 56-38=18
Current State: 39:[21, 18], Operations: ['75-54=21', '56-38=18']
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
21,
5,
68,
30
] | 58 | [
"21*30=630",
"630/5=126",
"126-68=58"
] | Current State: 58:[21, 5, 68, 30], Operations: []
Exploring Operation: 21*30=630, Resulting Numbers: [5, 68, 630]
Generated Node #2: [5, 68, 630] from Operation: 21*30=630
Current State: 58:[5, 68, 630], Operations: ['21*30=630']
Exploring Operation: 630/5=126, Resulting Numbers: [68, 126]
Generated Node #3: [68, 126] from Operation: 630/5=126
Current State: 58:[68, 126], Operations: ['21*30=630', '630/5=126']
Exploring Operation: 126-68=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
34,
64,
4,
6
] | 88 | [
"34+64=98",
"4+6=10",
"98-10=88"
] | Current State: 88:[34, 64, 4, 6], Operations: []
Exploring Operation: 34+64=98, Resulting Numbers: [4, 6, 98]
Generated Node #2: [4, 6, 98] from Operation: 34+64=98
Current State: 88:[4, 6, 98], Operations: ['34+64=98']
Exploring Operation: 4+6=10, Resulting Numbers: [98, 10]
Generated Node #3: [98, 10] from Operation: 4+6=10
Current State: 88:[98, 10], Operations: ['34+64=98', '4+6=10']
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
8,
92,
19,
20
] | 40 | [
"8*19=152",
"92+20=112",
"152-112=40"
] | Current State: 40:[8, 92, 19, 20], Operations: []
Exploring Operation: 8*19=152, Resulting Numbers: [92, 20, 152]
Generated Node #2: [92, 20, 152] from Operation: 8*19=152
Current State: 40:[92, 20, 152], Operations: ['8*19=152']
Exploring Operation: 92+20=112, Resulting Numbers: [152, 112]
Generated Node #3: [152, 112] from Operation: 92+20=112
Current State: 40:[152, 112], Operations: ['8*19=152', '92+20=112']
Exploring Operation: 152-112=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
46,
29,
60,
50
] | 14 | [
"50-46=4",
"60/4=15",
"29-15=14"
] | Current State: 14:[46, 29, 60, 50], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [29, 60, 4]
Generated Node #2: [29, 60, 4] from Operation: 50-46=4
Current State: 14:[29, 60, 4], Operations: ['50-46=4']
Exploring Operation: 60/4=15, Resulting Numbers: [29, 15]
Generated Node #3: [29, 15] from Operation: 60/4=15
Current State: 14:[29, 15], Operations: ['50-46=4', '60/4=15']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
74,
76,
82,
79
] | 50 | [
"74+76=150",
"82-79=3",
"150/3=50"
] | Current State: 50:[74, 76, 82, 79], Operations: []
Exploring Operation: 74+76=150, Resulting Numbers: [82, 79, 150]
Generated Node #2: [82, 79, 150] from Operation: 74+76=150
Current State: 50:[82, 79, 150], Operations: ['74+76=150']
Exploring Operation: 82-79=3, Resulting Numbers: [150, 3]
Generated Node #3: [150, 3] from Operation: 82-79=3
Current State: 50:[150, 3], Operations: ['74+76=150', '82-79=3']
Exploring Operation: 150/3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
8,
40,
42,
29
] | 66 | [
"40/8=5",
"42+29=71",
"71-5=66"
] | Current State: 66:[8, 40, 42, 29], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [42, 29, 5]
Generated Node #2: [42, 29, 5] from Operation: 40/8=5
Current State: 66:[42, 29, 5], Operations: ['40/8=5']
Exploring Operation: 42+29=71, Resulting Numbers: [5, 71]
Generated Node #3: [5, 71] from Operation: 42+29=71
Current State: 66:[5, 71], Operations: ['40/8=5', '42+29=71']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
29,
29,
34,
55
] | 21 | [
"29-29=0",
"55-34=21",
"0+21=21"
] | Current State: 21:[29, 29, 34, 55], Operations: []
Exploring Operation: 29-29=0, Resulting Numbers: [34, 55, 0]
Generated Node #2: [34, 55, 0] from Operation: 29-29=0
Current State: 21:[34, 55, 0], Operations: ['29-29=0']
Exploring Operation: 55-34=21, Resulting Numbers: [0, 21]
Generated Node #3: [0, 21] from Operation: 55-34=21
Current State: 21:[0, 21], Operations: ['29-29=0', '55-34=21']
Exploring Operation: 0+21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
89,
50,
16,
43
] | 64 | [
"89-50=39",
"43-39=4",
"16*4=64"
] | Current State: 64:[89, 50, 16, 43], Operations: []
Exploring Operation: 89-50=39, Resulting Numbers: [16, 43, 39]
Generated Node #2: [16, 43, 39] from Operation: 89-50=39
Current State: 64:[16, 43, 39], Operations: ['89-50=39']
Exploring Operation: 43-39=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 43-39=4
Current State: 64:[16, 4], Operations: ['89-50=39', '43-39=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
56,
21,
34,
32
] | 79 | [
"56+21=77",
"34-32=2",
"77+2=79"
] | Current State: 79:[56, 21, 34, 32], Operations: []
Exploring Operation: 56+21=77, Resulting Numbers: [34, 32, 77]
Generated Node #2: [34, 32, 77] from Operation: 56+21=77
Current State: 79:[34, 32, 77], Operations: ['56+21=77']
Exploring Operation: 34-32=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 34-32=2
Current State: 79:[77, 2], Operations: ['56+21=77', '34-32=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
46,
25,
56,
45
] | 80 | [
"46-25=21",
"56+45=101",
"101-21=80"
] | Current State: 80:[46, 25, 56, 45], Operations: []
Exploring Operation: 46-25=21, Resulting Numbers: [56, 45, 21]
Generated Node #2: [56, 45, 21] from Operation: 46-25=21
Current State: 80:[56, 45, 21], Operations: ['46-25=21']
Exploring Operation: 56+45=101, Resulting Numbers: [21, 101]
Generated Node #3: [21, 101] from Operation: 56+45=101
Current State: 80:[21, 101], Operations: ['46-25=21', '56+45=101']
Exploring Operation: 101-21=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
30,
26,
23,
37
] | 15 | [
"30-26=4",
"23+37=60",
"60/4=15"
] | Current State: 15:[30, 26, 23, 37], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [23, 37, 4]
Generated Node #2: [23, 37, 4] from Operation: 30-26=4
Current State: 15:[23, 37, 4], Operations: ['30-26=4']
Exploring Operation: 23+37=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 23+37=60
Current State: 15:[4, 60], Operations: ['30-26=4', '23+37=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
60,
91,
41,
10
] | 20 | [
"91-60=31",
"41+10=51",
"51-31=20"
] | Current State: 20:[60, 91, 41, 10], Operations: []
Exploring Operation: 91-60=31, Resulting Numbers: [41, 10, 31]
Generated Node #2: [41, 10, 31] from Operation: 91-60=31
Current State: 20:[41, 10, 31], Operations: ['91-60=31']
Exploring Operation: 41+10=51, Resulting Numbers: [31, 51]
Generated Node #3: [31, 51] from Operation: 41+10=51
Current State: 20:[31, 51], Operations: ['91-60=31', '41+10=51']
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
94,
5,
27,
35
] | 27 | [
"94-5=89",
"27+35=62",
"89-62=27"
] | Current State: 27:[94, 5, 27, 35], Operations: []
Exploring Operation: 94-5=89, Resulting Numbers: [27, 35, 89]
Generated Node #2: [27, 35, 89] from Operation: 94-5=89
Current State: 27:[27, 35, 89], Operations: ['94-5=89']
Exploring Operation: 27+35=62, Resulting Numbers: [89, 62]
Generated Node #3: [89, 62] from Operation: 27+35=62
Current State: 27:[89, 62], Operations: ['94-5=89', '27+35=62']
Exploring Operation: 89-62=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
62,
85,
25,
10
] | 12 | [
"85-62=23",
"25+10=35",
"35-23=12"
] | Current State: 12:[62, 85, 25, 10], Operations: []
Exploring Operation: 85-62=23, Resulting Numbers: [25, 10, 23]
Generated Node #2: [25, 10, 23] from Operation: 85-62=23
Current State: 12:[25, 10, 23], Operations: ['85-62=23']
Exploring Operation: 25+10=35, Resulting Numbers: [23, 35]
Generated Node #3: [23, 35] from Operation: 25+10=35
Current State: 12:[23, 35], Operations: ['85-62=23', '25+10=35']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
72,
24,
77,
9
] | 93 | [
"72/9=8",
"24+77=101",
"101-8=93"
] | Current State: 93:[72, 24, 77, 9], Operations: []
Exploring Operation: 72/9=8, Resulting Numbers: [24, 77, 8]
Generated Node #2: [24, 77, 8] from Operation: 72/9=8
Current State: 93:[24, 77, 8], Operations: ['72/9=8']
Exploring Operation: 24+77=101, Resulting Numbers: [8, 101]
Generated Node #3: [8, 101] from Operation: 24+77=101
Current State: 93:[8, 101], Operations: ['72/9=8', '24+77=101']
Exploring Operation: 101-8=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
66,
2,
4,
92
] | 91 | [
"66+2=68",
"92/4=23",
"68+23=91"
] | Current State: 91:[66, 2, 4, 92], Operations: []
Exploring Operation: 66+2=68, Resulting Numbers: [4, 92, 68]
Generated Node #2: [4, 92, 68] from Operation: 66+2=68
Current State: 91:[4, 92, 68], Operations: ['66+2=68']
Exploring Operation: 92/4=23, Resulting Numbers: [68, 23]
Generated Node #3: [68, 23] from Operation: 92/4=23
Current State: 91:[68, 23], Operations: ['66+2=68', '92/4=23']
Exploring Operation: 68+23=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
81,
69,
35,
51
] | 54 | [
"69-35=34",
"81*34=2754",
"2754/51=54"
] | Current State: 54:[81, 69, 35, 51], Operations: []
Exploring Operation: 69-35=34, Resulting Numbers: [81, 51, 34]
Generated Node #2: [81, 51, 34] from Operation: 69-35=34
Current State: 54:[81, 51, 34], Operations: ['69-35=34']
Exploring Operation: 81*34=2754, Resulting Numbers: [51, 2754]
Generated Node #3: [51, 2754] from Operation: 81*34=2754
Current State: 54:[51, 2754], Operations: ['69-35=34', '81*34=2754']
Exploring Operation: 2754/51=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
88,
36,
3,
86
] | 36 | [
"88-3=85",
"86-85=1",
"36*1=36"
] | Current State: 36:[88, 36, 3, 86], Operations: []
Exploring Operation: 88-3=85, Resulting Numbers: [36, 86, 85]
Generated Node #2: [36, 86, 85] from Operation: 88-3=85
Current State: 36:[36, 86, 85], Operations: ['88-3=85']
Exploring Operation: 86-85=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 86-85=1
Current State: 36:[36, 1], Operations: ['88-3=85', '86-85=1']
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
12,
90,
90,
9
] | 32 | [
"90+90=180",
"180/9=20",
"12+20=32"
] | Current State: 32:[12, 90, 90, 9], Operations: []
Exploring Operation: 90+90=180, Resulting Numbers: [12, 9, 180]
Generated Node #2: [12, 9, 180] from Operation: 90+90=180
Current State: 32:[12, 9, 180], Operations: ['90+90=180']
Exploring Operation: 180/9=20, Resulting Numbers: [12, 20]
Generated Node #3: [12, 20] from Operation: 180/9=20
Current State: 32:[12, 20], Operations: ['90+90=180', '180/9=20']
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
51,
23,
3,
16
] | 22 | [
"51/3=17",
"23+16=39",
"39-17=22"
] | Current State: 22:[51, 23, 3, 16], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [23, 16, 17]
Generated Node #2: [23, 16, 17] from Operation: 51/3=17
Current State: 22:[23, 16, 17], Operations: ['51/3=17']
Exploring Operation: 23+16=39, Resulting Numbers: [17, 39]
Generated Node #3: [17, 39] from Operation: 23+16=39
Current State: 22:[17, 39], Operations: ['51/3=17', '23+16=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
20,
42,
3,
48
] | 60 | [
"42+3=45",
"48-45=3",
"20*3=60"
] | Current State: 60:[20, 42, 3, 48], Operations: []
Exploring Operation: 42+3=45, Resulting Numbers: [20, 48, 45]
Generated Node #2: [20, 48, 45] from Operation: 42+3=45
Current State: 60:[20, 48, 45], Operations: ['42+3=45']
Exploring Operation: 48-45=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 48-45=3
Current State: 60:[20, 3], Operations: ['42+3=45', '48-45=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
21,
4,
30,
94
] | 39 | [
"21+4=25",
"94-30=64",
"64-25=39"
] | Current State: 39:[21, 4, 30, 94], Operations: []
Exploring Operation: 21+4=25, Resulting Numbers: [30, 94, 25]
Generated Node #2: [30, 94, 25] from Operation: 21+4=25
Current State: 39:[30, 94, 25], Operations: ['21+4=25']
Exploring Operation: 94-30=64, Resulting Numbers: [25, 64]
Generated Node #3: [25, 64] from Operation: 94-30=64
Current State: 39:[25, 64], Operations: ['21+4=25', '94-30=64']
Exploring Operation: 64-25=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
75,
62,
64,
24
] | 28 | [
"75*24=1800",
"1800-64=1736",
"1736/62=28"
] | Current State: 28:[75, 62, 64, 24], Operations: []
Exploring Operation: 75*24=1800, Resulting Numbers: [62, 64, 1800]
Generated Node #2: [62, 64, 1800] from Operation: 75*24=1800
Current State: 28:[62, 64, 1800], Operations: ['75*24=1800']
Exploring Operation: 1800-64=1736, Resulting Numbers: [62, 1736]
Generated Node #3: [62, 1736] from Operation: 1800-64=1736
Current State: 28:[62, 1736], Operations: ['75*24=1800', '1800-64=1736']
Exploring Operation: 1736/62=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
15,
69,
42,
35
] | 51 | [
"15*42=630",
"630/35=18",
"69-18=51"
] | Current State: 51:[15, 69, 42, 35], Operations: []
Exploring Operation: 15*42=630, Resulting Numbers: [69, 35, 630]
Generated Node #2: [69, 35, 630] from Operation: 15*42=630
Current State: 51:[69, 35, 630], Operations: ['15*42=630']
Exploring Operation: 630/35=18, Resulting Numbers: [69, 18]
Generated Node #3: [69, 18] from Operation: 630/35=18
Current State: 51:[69, 18], Operations: ['15*42=630', '630/35=18']
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
31,
24,
23,
2
] | 60 | [
"31-24=7",
"23+7=30",
"2*30=60"
] | Current State: 60:[31, 24, 23, 2], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [23, 2, 7]
Generated Node #2: [23, 2, 7] from Operation: 31-24=7
Current State: 60:[23, 2, 7], Operations: ['31-24=7']
Exploring Operation: 23+7=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 23+7=30
Current State: 60:[2, 30], Operations: ['31-24=7', '23+7=30']
Exploring Operation: 2*30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
88,
10,
23,
43
] | 32 | [
"88+10=98",
"23+43=66",
"98-66=32"
] | Current State: 32:[88, 10, 23, 43], Operations: []
Exploring Operation: 88+10=98, Resulting Numbers: [23, 43, 98]
Generated Node #2: [23, 43, 98] from Operation: 88+10=98
Current State: 32:[23, 43, 98], Operations: ['88+10=98']
Exploring Operation: 23+43=66, Resulting Numbers: [98, 66]
Generated Node #3: [98, 66] from Operation: 23+43=66
Current State: 32:[98, 66], Operations: ['88+10=98', '23+43=66']
Exploring Operation: 98-66=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
12,
84,
70,
19
] | 17 | [
"84-12=72",
"70+19=89",
"89-72=17"
] | Current State: 17:[12, 84, 70, 19], Operations: []
Exploring Operation: 84-12=72, Resulting Numbers: [70, 19, 72]
Generated Node #2: [70, 19, 72] from Operation: 84-12=72
Current State: 17:[70, 19, 72], Operations: ['84-12=72']
Exploring Operation: 70+19=89, Resulting Numbers: [72, 89]
Generated Node #3: [72, 89] from Operation: 70+19=89
Current State: 17:[72, 89], Operations: ['84-12=72', '70+19=89']
Exploring Operation: 89-72=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
46,
35,
35,
11
] | 11 | [
"35-35=0",
"46*0=0",
"11+0=11"
] | Current State: 11:[46, 35, 35, 11], Operations: []
Exploring Operation: 35-35=0, Resulting Numbers: [46, 11, 0]
Generated Node #2: [46, 11, 0] from Operation: 35-35=0
Current State: 11:[46, 11, 0], Operations: ['35-35=0']
Exploring Operation: 46*0=0, Resulting Numbers: [11, 0]
Generated Node #3: [11, 0] from Operation: 46*0=0
Current State: 11:[11, 0], Operations: ['35-35=0', '46*0=0']
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
59,
11,
31,
11
] | 28 | [
"59+11=70",
"31+11=42",
"70-42=28"
] | Current State: 28:[59, 11, 31, 11], Operations: []
Exploring Operation: 59+11=70, Resulting Numbers: [31, 70]
Generated Node #2: [31, 70] from Operation: 59+11=70
Current State: 28:[31, 70], Operations: ['59+11=70']
Exploring Operation: 31+11=42, Resulting Numbers: [70, 42]
Generated Node #3: [70, 42] from Operation: 31+11=42
Current State: 28:[70, 42], Operations: ['59+11=70', '31+11=42']
Exploring Operation: 70-42=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
45,
5,
92,
39
] | 44 | [
"45/5=9",
"92-39=53",
"53-9=44"
] | Current State: 44:[45, 5, 92, 39], Operations: []
Exploring Operation: 45/5=9, Resulting Numbers: [92, 39, 9]
Generated Node #2: [92, 39, 9] from Operation: 45/5=9
Current State: 44:[92, 39, 9], Operations: ['45/5=9']
Exploring Operation: 92-39=53, Resulting Numbers: [9, 53]
Generated Node #3: [9, 53] from Operation: 92-39=53
Current State: 44:[9, 53], Operations: ['45/5=9', '92-39=53']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
38,
17,
93,
22
] | 24 | [
"93-17=76",
"76/38=2",
"22+2=24"
] | Current State: 24:[38, 17, 93, 22], Operations: []
Exploring Operation: 93-17=76, Resulting Numbers: [38, 22, 76]
Generated Node #2: [38, 22, 76] from Operation: 93-17=76
Current State: 24:[38, 22, 76], Operations: ['93-17=76']
Exploring Operation: 76/38=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 76/38=2
Current State: 24:[22, 2], Operations: ['93-17=76', '76/38=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
7,
56,
93,
45
] | 89 | [
"56-7=49",
"93+45=138",
"138-49=89"
] | Current State: 89:[7, 56, 93, 45], Operations: []
Exploring Operation: 56-7=49, Resulting Numbers: [93, 45, 49]
Generated Node #2: [93, 45, 49] from Operation: 56-7=49
Current State: 89:[93, 45, 49], Operations: ['56-7=49']
Exploring Operation: 93+45=138, Resulting Numbers: [49, 138]
Generated Node #3: [49, 138] from Operation: 93+45=138
Current State: 89:[49, 138], Operations: ['56-7=49', '93+45=138']
Exploring Operation: 138-49=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
63,
46,
8,
18
] | 35 | [
"63+46=109",
"8*18=144",
"144-109=35"
] | Current State: 35:[63, 46, 8, 18], Operations: []
Exploring Operation: 63+46=109, Resulting Numbers: [8, 18, 109]
Generated Node #2: [8, 18, 109] from Operation: 63+46=109
Current State: 35:[8, 18, 109], Operations: ['63+46=109']
Exploring Operation: 8*18=144, Resulting Numbers: [109, 144]
Generated Node #3: [109, 144] from Operation: 8*18=144
Current State: 35:[109, 144], Operations: ['63+46=109', '8*18=144']
Exploring Operation: 144-109=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
15,
3,
37,
31
] | 97 | [
"37-15=22",
"3*22=66",
"31+66=97"
] | Current State: 97:[15, 3, 37, 31], Operations: []
Exploring Operation: 37-15=22, Resulting Numbers: [3, 31, 22]
Generated Node #2: [3, 31, 22] from Operation: 37-15=22
Current State: 97:[3, 31, 22], Operations: ['37-15=22']
Exploring Operation: 3*22=66, Resulting Numbers: [31, 66]
Generated Node #3: [31, 66] from Operation: 3*22=66
Current State: 97:[31, 66], Operations: ['37-15=22', '3*22=66']
Exploring Operation: 31+66=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
34,
72,
7,
96
] | 70 | [
"34+72=106",
"106-96=10",
"7*10=70"
] | Current State: 70:[34, 72, 7, 96], Operations: []
Exploring Operation: 34+72=106, Resulting Numbers: [7, 96, 106]
Generated Node #2: [7, 96, 106] from Operation: 34+72=106
Current State: 70:[7, 96, 106], Operations: ['34+72=106']
Exploring Operation: 106-96=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 106-96=10
Current State: 70:[7, 10], Operations: ['34+72=106', '106-96=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
81,
52,
18,
2
] | 76 | [
"81-52=29",
"2*29=58",
"18+58=76"
] | Current State: 76:[81, 52, 18, 2], Operations: []
Exploring Operation: 81-52=29, Resulting Numbers: [18, 2, 29]
Generated Node #2: [18, 2, 29] from Operation: 81-52=29
Current State: 76:[18, 2, 29], Operations: ['81-52=29']
Exploring Operation: 2*29=58, Resulting Numbers: [18, 58]
Generated Node #3: [18, 58] from Operation: 2*29=58
Current State: 76:[18, 58], Operations: ['81-52=29', '2*29=58']
Exploring Operation: 18+58=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
95,
60,
80,
40
] | 16 | [
"95-60=35",
"40-35=5",
"80/5=16"
] | Current State: 16:[95, 60, 80, 40], Operations: []
Exploring Operation: 95-60=35, Resulting Numbers: [80, 40, 35]
Generated Node #2: [80, 40, 35] from Operation: 95-60=35
Current State: 16:[80, 40, 35], Operations: ['95-60=35']
Exploring Operation: 40-35=5, Resulting Numbers: [80, 5]
Generated Node #3: [80, 5] from Operation: 40-35=5
Current State: 16:[80, 5], Operations: ['95-60=35', '40-35=5']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
30,
73,
60,
81
] | 16 | [
"60/30=2",
"81-73=8",
"2*8=16"
] | Current State: 16:[30, 73, 60, 81], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [73, 81, 2]
Generated Node #2: [73, 81, 2] from Operation: 60/30=2
Current State: 16:[73, 81, 2], Operations: ['60/30=2']
Exploring Operation: 81-73=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 81-73=8
Current State: 16:[2, 8], Operations: ['60/30=2', '81-73=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
83,
3,
80,
35
] | 26 | [
"83-80=3",
"3*3=9",
"35-9=26"
] | Current State: 26:[83, 3, 80, 35], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [3, 35, 3]
Generated Node #2: [3, 35, 3] from Operation: 83-80=3
Current State: 26:[3, 35, 3], Operations: ['83-80=3']
Exploring Operation: 3*3=9, Resulting Numbers: [35, 9]
Generated Node #3: [35, 9] from Operation: 3*3=9
Current State: 26:[35, 9], Operations: ['83-80=3', '3*3=9']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
87,
90,
10,
2
] | 10 | [
"90-87=3",
"3-2=1",
"10*1=10"
] | Current State: 10:[87, 90, 10, 2], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [10, 2, 3]
Generated Node #2: [10, 2, 3] from Operation: 90-87=3
Current State: 10:[10, 2, 3], Operations: ['90-87=3']
Exploring Operation: 3-2=1, Resulting Numbers: [10, 1]
Generated Node #3: [10, 1] from Operation: 3-2=1
Current State: 10:[10, 1], Operations: ['90-87=3', '3-2=1']
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
72,
33,
69,
2
] | 87 | [
"72+33=105",
"69+105=174",
"174/2=87"
] | Current State: 87:[72, 33, 69, 2], Operations: []
Exploring Operation: 72+33=105, Resulting Numbers: [69, 2, 105]
Generated Node #2: [69, 2, 105] from Operation: 72+33=105
Current State: 87:[69, 2, 105], Operations: ['72+33=105']
Exploring Operation: 69+105=174, Resulting Numbers: [2, 174]
Generated Node #3: [2, 174] from Operation: 69+105=174
Current State: 87:[2, 174], Operations: ['72+33=105', '69+105=174']
Exploring Operation: 174/2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
67,
93,
70,
42
] | 88 | [
"93*70=6510",
"6510/42=155",
"155-67=88"
] | Current State: 88:[67, 93, 70, 42], Operations: []
Exploring Operation: 93*70=6510, Resulting Numbers: [67, 42, 6510]
Generated Node #2: [67, 42, 6510] from Operation: 93*70=6510
Current State: 88:[67, 42, 6510], Operations: ['93*70=6510']
Exploring Operation: 6510/42=155, Resulting Numbers: [67, 155]
Generated Node #3: [67, 155] from Operation: 6510/42=155
Current State: 88:[67, 155], Operations: ['93*70=6510', '6510/42=155']
Exploring Operation: 155-67=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
62,
68,
58,
71
] | 12 | [
"62-58=4",
"71-68=3",
"4*3=12"
] | Current State: 12:[62, 68, 58, 71], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [68, 71, 4]
Generated Node #2: [68, 71, 4] from Operation: 62-58=4
Current State: 12:[68, 71, 4], Operations: ['62-58=4']
Exploring Operation: 71-68=3, Resulting Numbers: [4, 3]
Generated Node #3: [4, 3] from Operation: 71-68=3
Current State: 12:[4, 3], Operations: ['62-58=4', '71-68=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
72,
76,
62,
3
] | 55 | [
"76-72=4",
"62-3=59",
"59-4=55"
] | Current State: 55:[72, 76, 62, 3], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [62, 3, 4]
Generated Node #2: [62, 3, 4] from Operation: 76-72=4
Current State: 55:[62, 3, 4], Operations: ['76-72=4']
Exploring Operation: 62-3=59, Resulting Numbers: [4, 59]
Generated Node #3: [4, 59] from Operation: 62-3=59
Current State: 55:[4, 59], Operations: ['76-72=4', '62-3=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
40,
6,
58,
67
] | 41 | [
"58-40=18",
"6*18=108",
"108-67=41"
] | Current State: 41:[40, 6, 58, 67], Operations: []
Exploring Operation: 58-40=18, Resulting Numbers: [6, 67, 18]
Generated Node #2: [6, 67, 18] from Operation: 58-40=18
Current State: 41:[6, 67, 18], Operations: ['58-40=18']
Exploring Operation: 6*18=108, Resulting Numbers: [67, 108]
Generated Node #3: [67, 108] from Operation: 6*18=108
Current State: 41:[67, 108], Operations: ['58-40=18', '6*18=108']
Exploring Operation: 108-67=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
42,
28,
20,
25
] | 84 | [
"42-20=22",
"25-22=3",
"28*3=84"
] | Current State: 84:[42, 28, 20, 25], Operations: []
Exploring Operation: 42-20=22, Resulting Numbers: [28, 25, 22]
Generated Node #2: [28, 25, 22] from Operation: 42-20=22
Current State: 84:[28, 25, 22], Operations: ['42-20=22']
Exploring Operation: 25-22=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 25-22=3
Current State: 84:[28, 3], Operations: ['42-20=22', '25-22=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
32,
41,
2,
71
] | 96 | [
"32/2=16",
"41+71=112",
"112-16=96"
] | Current State: 96:[32, 41, 2, 71], Operations: []
Exploring Operation: 32/2=16, Resulting Numbers: [41, 71, 16]
Generated Node #2: [41, 71, 16] from Operation: 32/2=16
Current State: 96:[41, 71, 16], Operations: ['32/2=16']
Exploring Operation: 41+71=112, Resulting Numbers: [16, 112]
Generated Node #3: [16, 112] from Operation: 41+71=112
Current State: 96:[16, 112], Operations: ['32/2=16', '41+71=112']
Exploring Operation: 112-16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
89,
58,
81,
64
] | 14 | [
"89-58=31",
"81-64=17",
"31-17=14"
] | Current State: 14:[89, 58, 81, 64], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [81, 64, 31]
Generated Node #2: [81, 64, 31] from Operation: 89-58=31
Current State: 14:[81, 64, 31], Operations: ['89-58=31']
Exploring Operation: 81-64=17, Resulting Numbers: [31, 17]
Generated Node #3: [31, 17] from Operation: 81-64=17
Current State: 14:[31, 17], Operations: ['89-58=31', '81-64=17']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
26,
2,
7,
93
] | 56 | [
"26-7=19",
"93+19=112",
"112/2=56"
] | Current State: 56:[26, 2, 7, 93], Operations: []
Exploring Operation: 26-7=19, Resulting Numbers: [2, 93, 19]
Generated Node #2: [2, 93, 19] from Operation: 26-7=19
Current State: 56:[2, 93, 19], Operations: ['26-7=19']
Exploring Operation: 93+19=112, Resulting Numbers: [2, 112]
Generated Node #3: [2, 112] from Operation: 93+19=112
Current State: 56:[2, 112], Operations: ['26-7=19', '93+19=112']
Exploring Operation: 112/2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
70,
2,
32,
97
] | 57 | [
"70+2=72",
"32+97=129",
"129-72=57"
] | Current State: 57:[70, 2, 32, 97], Operations: []
Exploring Operation: 70+2=72, Resulting Numbers: [32, 97, 72]
Generated Node #2: [32, 97, 72] from Operation: 70+2=72
Current State: 57:[32, 97, 72], Operations: ['70+2=72']
Exploring Operation: 32+97=129, Resulting Numbers: [72, 129]
Generated Node #3: [72, 129] from Operation: 32+97=129
Current State: 57:[72, 129], Operations: ['70+2=72', '32+97=129']
Exploring Operation: 129-72=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
41,
83,
7,
13
] | 78 | [
"83-41=42",
"42/7=6",
"13*6=78"
] | Current State: 78:[41, 83, 7, 13], Operations: []
Exploring Operation: 83-41=42, Resulting Numbers: [7, 13, 42]
Generated Node #2: [7, 13, 42] from Operation: 83-41=42
Current State: 78:[7, 13, 42], Operations: ['83-41=42']
Exploring Operation: 42/7=6, Resulting Numbers: [13, 6]
Generated Node #3: [13, 6] from Operation: 42/7=6
Current State: 78:[13, 6], Operations: ['83-41=42', '42/7=6']
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
92,
34,
21,
48
] | 57 | [
"92+34=126",
"21+48=69",
"126-69=57"
] | Current State: 57:[92, 34, 21, 48], Operations: []
Exploring Operation: 92+34=126, Resulting Numbers: [21, 48, 126]
Generated Node #2: [21, 48, 126] from Operation: 92+34=126
Current State: 57:[21, 48, 126], Operations: ['92+34=126']
Exploring Operation: 21+48=69, Resulting Numbers: [126, 69]
Generated Node #3: [126, 69] from Operation: 21+48=69
Current State: 57:[126, 69], Operations: ['92+34=126', '21+48=69']
Exploring Operation: 126-69=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
5,
78,
11,
9
] | 24 | [
"11-5=6",
"9*6=54",
"78-54=24"
] | Current State: 24:[5, 78, 11, 9], Operations: []
Exploring Operation: 11-5=6, Resulting Numbers: [78, 9, 6]
Generated Node #2: [78, 9, 6] from Operation: 11-5=6
Current State: 24:[78, 9, 6], Operations: ['11-5=6']
Exploring Operation: 9*6=54, Resulting Numbers: [78, 54]
Generated Node #3: [78, 54] from Operation: 9*6=54
Current State: 24:[78, 54], Operations: ['11-5=6', '9*6=54']
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
47,
20,
2,
77
] | 40 | [
"77-47=30",
"20/2=10",
"30+10=40"
] | Current State: 40:[47, 20, 2, 77], Operations: []
Exploring Operation: 77-47=30, Resulting Numbers: [20, 2, 30]
Generated Node #2: [20, 2, 30] from Operation: 77-47=30
Current State: 40:[20, 2, 30], Operations: ['77-47=30']
Exploring Operation: 20/2=10, Resulting Numbers: [30, 10]
Generated Node #3: [30, 10] from Operation: 20/2=10
Current State: 40:[30, 10], Operations: ['77-47=30', '20/2=10']
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
1,
28,
49,
31
] | 51 | [
"1+28=29",
"49+31=80",
"80-29=51"
] | Current State: 51:[1, 28, 49, 31], Operations: []
Exploring Operation: 1+28=29, Resulting Numbers: [49, 31, 29]
Generated Node #2: [49, 31, 29] from Operation: 1+28=29
Current State: 51:[49, 31, 29], Operations: ['1+28=29']
Exploring Operation: 49+31=80, Resulting Numbers: [29, 80]
Generated Node #3: [29, 80] from Operation: 49+31=80
Current State: 51:[29, 80], Operations: ['1+28=29', '49+31=80']
Exploring Operation: 80-29=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
72,
42,
92,
28
] | 94 | [
"72-42=30",
"92-28=64",
"30+64=94"
] | Current State: 94:[72, 42, 92, 28], Operations: []
Exploring Operation: 72-42=30, Resulting Numbers: [92, 28, 30]
Generated Node #2: [92, 28, 30] from Operation: 72-42=30
Current State: 94:[92, 28, 30], Operations: ['72-42=30']
Exploring Operation: 92-28=64, Resulting Numbers: [30, 64]
Generated Node #3: [30, 64] from Operation: 92-28=64
Current State: 94:[30, 64], Operations: ['72-42=30', '92-28=64']
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
98,
74,
94,
41
] | 29 | [
"98-74=24",
"94-41=53",
"53-24=29"
] | Current State: 29:[98, 74, 94, 41], Operations: []
Exploring Operation: 98-74=24, Resulting Numbers: [94, 41, 24]
Generated Node #2: [94, 41, 24] from Operation: 98-74=24
Current State: 29:[94, 41, 24], Operations: ['98-74=24']
Exploring Operation: 94-41=53, Resulting Numbers: [24, 53]
Generated Node #3: [24, 53] from Operation: 94-41=53
Current State: 29:[24, 53], Operations: ['98-74=24', '94-41=53']
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
82,
18,
73,
82
] | 73 | [
"82-18=64",
"82-73=9",
"64+9=73"
] | Current State: 73:[82, 18, 73, 82], Operations: []
Exploring Operation: 82-18=64, Resulting Numbers: [73, 64]
Generated Node #2: [73, 64] from Operation: 82-18=64
Current State: 73:[73, 64], Operations: ['82-18=64']
Exploring Operation: 82-73=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 82-73=9
Current State: 73:[64, 9], Operations: ['82-18=64', '82-73=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
35,
66,
12,
61
] | 95 | [
"66-61=5",
"12*5=60",
"35+60=95"
] | Current State: 95:[35, 66, 12, 61], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [35, 12, 5]
Generated Node #2: [35, 12, 5] from Operation: 66-61=5
Current State: 95:[35, 12, 5], Operations: ['66-61=5']
Exploring Operation: 12*5=60, Resulting Numbers: [35, 60]
Generated Node #3: [35, 60] from Operation: 12*5=60
Current State: 95:[35, 60], Operations: ['66-61=5', '12*5=60']
Exploring Operation: 35+60=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
88,
76,
96
] | 11 | [
"76/4=19",
"96-88=8",
"19-8=11"
] | Current State: 11:[4, 88, 76, 96], Operations: []
Exploring Operation: 76/4=19, Resulting Numbers: [88, 96, 19]
Generated Node #2: [88, 96, 19] from Operation: 76/4=19
Current State: 11:[88, 96, 19], Operations: ['76/4=19']
Exploring Operation: 96-88=8, Resulting Numbers: [19, 8]
Generated Node #3: [19, 8] from Operation: 96-88=8
Current State: 11:[19, 8], Operations: ['76/4=19', '96-88=8']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
96,
46,
5,
53
] | 15 | [
"96-46=50",
"53-50=3",
"5*3=15"
] | Current State: 15:[96, 46, 5, 53], Operations: []
Exploring Operation: 96-46=50, Resulting Numbers: [5, 53, 50]
Generated Node #2: [5, 53, 50] from Operation: 96-46=50
Current State: 15:[5, 53, 50], Operations: ['96-46=50']
Exploring Operation: 53-50=3, Resulting Numbers: [5, 3]
Generated Node #3: [5, 3] from Operation: 53-50=3
Current State: 15:[5, 3], Operations: ['96-46=50', '53-50=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
97,
68,
74,
74
] | 30 | [
"97-68=29",
"74/74=1",
"29+1=30"
] | Current State: 30:[97, 68, 74, 74], Operations: []
Exploring Operation: 97-68=29, Resulting Numbers: [74, 74, 29]
Generated Node #2: [74, 74, 29] from Operation: 97-68=29
Current State: 30:[74, 74, 29], Operations: ['97-68=29']
Exploring Operation: 74/74=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 74/74=1
Current State: 30:[29, 1], Operations: ['97-68=29', '74/74=1']
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
69,
16,
57,
2
] | 40 | [
"69-57=12",
"2*12=24",
"16+24=40"
] | Current State: 40:[69, 16, 57, 2], Operations: []
Exploring Operation: 69-57=12, Resulting Numbers: [16, 2, 12]
Generated Node #2: [16, 2, 12] from Operation: 69-57=12
Current State: 40:[16, 2, 12], Operations: ['69-57=12']
Exploring Operation: 2*12=24, Resulting Numbers: [16, 24]
Generated Node #3: [16, 24] from Operation: 2*12=24
Current State: 40:[16, 24], Operations: ['69-57=12', '2*12=24']
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
70,
68,
3,
68
] | 22 | [
"70+68=138",
"138/3=46",
"68-46=22"
] | Current State: 22:[70, 68, 3, 68], Operations: []
Exploring Operation: 70+68=138, Resulting Numbers: [3, 138]
Generated Node #2: [3, 138] from Operation: 70+68=138
Current State: 22:[3, 138], Operations: ['70+68=138']
Exploring Operation: 138/3=46, Resulting Numbers: [46]
46,22 equal: Goal Reached
Exploring Operation: 68-46=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
12,
50,
25,
76
] | 70 | [
"12*25=300",
"300/50=6",
"76-6=70"
] | Current State: 70:[12, 50, 25, 76], Operations: []
Exploring Operation: 12*25=300, Resulting Numbers: [50, 76, 300]
Generated Node #2: [50, 76, 300] from Operation: 12*25=300
Current State: 70:[50, 76, 300], Operations: ['12*25=300']
Exploring Operation: 300/50=6, Resulting Numbers: [76, 6]
Generated Node #3: [76, 6] from Operation: 300/50=6
Current State: 70:[76, 6], Operations: ['12*25=300', '300/50=6']
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
37,
36,
5,
73
] | 76 | [
"37*5=185",
"36+73=109",
"185-109=76"
] | Current State: 76:[37, 36, 5, 73], Operations: []
Exploring Operation: 37*5=185, Resulting Numbers: [36, 73, 185]
Generated Node #2: [36, 73, 185] from Operation: 37*5=185
Current State: 76:[36, 73, 185], Operations: ['37*5=185']
Exploring Operation: 36+73=109, Resulting Numbers: [185, 109]
Generated Node #3: [185, 109] from Operation: 36+73=109
Current State: 76:[185, 109], Operations: ['37*5=185', '36+73=109']
Exploring Operation: 185-109=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
9,
21,
74,
63
] | 71 | [
"9*21=189",
"189/63=3",
"74-3=71"
] | Current State: 71:[9, 21, 74, 63], Operations: []
Exploring Operation: 9*21=189, Resulting Numbers: [74, 63, 189]
Generated Node #2: [74, 63, 189] from Operation: 9*21=189
Current State: 71:[74, 63, 189], Operations: ['9*21=189']
Exploring Operation: 189/63=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 189/63=3
Current State: 71:[74, 3], Operations: ['9*21=189', '189/63=3']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
4,
55,
25,
10
] | 32 | [
"55+25=80",
"4*80=320",
"320/10=32"
] | Current State: 32:[4, 55, 25, 10], Operations: []
Exploring Operation: 55+25=80, Resulting Numbers: [4, 10, 80]
Generated Node #2: [4, 10, 80] from Operation: 55+25=80
Current State: 32:[4, 10, 80], Operations: ['55+25=80']
Exploring Operation: 4*80=320, Resulting Numbers: [10, 320]
Generated Node #3: [10, 320] from Operation: 4*80=320
Current State: 32:[10, 320], Operations: ['55+25=80', '4*80=320']
Exploring Operation: 320/10=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
3,
8,
97,
9
] | 82 | [
"3*8=24",
"97+9=106",
"106-24=82"
] | Current State: 82:[3, 8, 97, 9], Operations: []
Exploring Operation: 3*8=24, Resulting Numbers: [97, 9, 24]
Generated Node #2: [97, 9, 24] from Operation: 3*8=24
Current State: 82:[97, 9, 24], Operations: ['3*8=24']
Exploring Operation: 97+9=106, Resulting Numbers: [24, 106]
Generated Node #3: [24, 106] from Operation: 97+9=106
Current State: 82:[24, 106], Operations: ['3*8=24', '97+9=106']
Exploring Operation: 106-24=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
92,
19,
69,
88
] | 46 | [
"92+19=111",
"69+88=157",
"157-111=46"
] | Current State: 46:[92, 19, 69, 88], Operations: []
Exploring Operation: 92+19=111, Resulting Numbers: [69, 88, 111]
Generated Node #2: [69, 88, 111] from Operation: 92+19=111
Current State: 46:[69, 88, 111], Operations: ['92+19=111']
Exploring Operation: 69+88=157, Resulting Numbers: [111, 157]
Generated Node #3: [111, 157] from Operation: 69+88=157
Current State: 46:[111, 157], Operations: ['92+19=111', '69+88=157']
Exploring Operation: 157-111=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
76,
78,
18,
53
] | 83 | [
"76+78=154",
"18+53=71",
"154-71=83"
] | Current State: 83:[76, 78, 18, 53], Operations: []
Exploring Operation: 76+78=154, Resulting Numbers: [18, 53, 154]
Generated Node #2: [18, 53, 154] from Operation: 76+78=154
Current State: 83:[18, 53, 154], Operations: ['76+78=154']
Exploring Operation: 18+53=71, Resulting Numbers: [154, 71]
Generated Node #3: [154, 71] from Operation: 18+53=71
Current State: 83:[154, 71], Operations: ['76+78=154', '18+53=71']
Exploring Operation: 154-71=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
94,
33,
11,
51
] | 59 | [
"33/11=3",
"51*3=153",
"153-94=59"
] | Current State: 59:[94, 33, 11, 51], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [94, 51, 3]
Generated Node #2: [94, 51, 3] from Operation: 33/11=3
Current State: 59:[94, 51, 3], Operations: ['33/11=3']
Exploring Operation: 51*3=153, Resulting Numbers: [94, 153]
Generated Node #3: [94, 153] from Operation: 51*3=153
Current State: 59:[94, 153], Operations: ['33/11=3', '51*3=153']
Exploring Operation: 153-94=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
75,
71,
88,
89
] | 67 | [
"75-71=4",
"88/4=22",
"89-22=67"
] | Current State: 67:[75, 71, 88, 89], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [88, 89, 4]
Generated Node #2: [88, 89, 4] from Operation: 75-71=4
Current State: 67:[88, 89, 4], Operations: ['75-71=4']
Exploring Operation: 88/4=22, Resulting Numbers: [89, 22]
Generated Node #3: [89, 22] from Operation: 88/4=22
Current State: 67:[89, 22], Operations: ['75-71=4', '88/4=22']
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
50,
14,
34,
27
] | 52 | [
"34-27=7",
"14/7=2",
"50+2=52"
] | Current State: 52:[50, 14, 34, 27], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [50, 14, 7]
Generated Node #2: [50, 14, 7] from Operation: 34-27=7
Current State: 52:[50, 14, 7], Operations: ['34-27=7']
Exploring Operation: 14/7=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 14/7=2
Current State: 52:[50, 2], Operations: ['34-27=7', '14/7=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
37,
34,
72,
83
] | 33 | [
"37-34=3",
"83-72=11",
"3*11=33"
] | Current State: 33:[37, 34, 72, 83], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [72, 83, 3]
Generated Node #2: [72, 83, 3] from Operation: 37-34=3
Current State: 33:[72, 83, 3], Operations: ['37-34=3']
Exploring Operation: 83-72=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 83-72=11
Current State: 33:[3, 11], Operations: ['37-34=3', '83-72=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
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