nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
68,
15,
51,
8
] | 55 | [
"68-8=60",
"60/15=4",
"51+4=55"
] | Current State: 55:[68, 15, 51, 8], Operations: []
Exploring Operation: 68-8=60, Resulting Numbers: [15, 51, 60]
Generated Node #2: [15, 51, 60] from Operation: 68-8=60
Current State: 55:[15, 51, 60], Operations: ['68-8=60']
Exploring Operation: 60/15=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 60/15=4
Current State: 55:[51, 4], Operations: ['68-8=60', '60/15=4']
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
66,
86,
1,
99
] | 52 | [
"66+86=152",
"1+99=100",
"152-100=52"
] | Current State: 52:[66, 86, 1, 99], Operations: []
Exploring Operation: 66+86=152, Resulting Numbers: [1, 99, 152]
Generated Node #2: [1, 99, 152] from Operation: 66+86=152
Current State: 52:[1, 99, 152], Operations: ['66+86=152']
Exploring Operation: 1+99=100, Resulting Numbers: [152, 100]
Generated Node #3: [152, 100] from Operation: 1+99=100
Current State: 52:[152, 100], Operations: ['66+86=152', '1+99=100']
Exploring Operation: 152-100=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
43,
97,
3,
82
] | 50 | [
"43*3=129",
"97+82=179",
"179-129=50"
] | Current State: 50:[43, 97, 3, 82], Operations: []
Exploring Operation: 43*3=129, Resulting Numbers: [97, 82, 129]
Generated Node #2: [97, 82, 129] from Operation: 43*3=129
Current State: 50:[97, 82, 129], Operations: ['43*3=129']
Exploring Operation: 97+82=179, Resulting Numbers: [129, 179]
Generated Node #3: [129, 179] from Operation: 97+82=179
Current State: 50:[129, 179], Operations: ['43*3=129', '97+82=179']
Exploring Operation: 179-129=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
37,
69,
43,
27
] | 16 | [
"69-37=32",
"43-27=16",
"32-16=16"
] | Current State: 16:[37, 69, 43, 27], Operations: []
Exploring Operation: 69-37=32, Resulting Numbers: [43, 27, 32]
Generated Node #2: [43, 27, 32] from Operation: 69-37=32
Current State: 16:[43, 27, 32], Operations: ['69-37=32']
Exploring Operation: 43-27=16, Resulting Numbers: [32, 16]
Generated Node #3: [32, 16] from Operation: 43-27=16
Current State: 16:[32, 16], Operations: ['69-37=32', '43-27=16']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
2,
5,
24,
79
] | 22 | [
"79-24=55",
"2*55=110",
"110/5=22"
] | Current State: 22:[2, 5, 24, 79], Operations: []
Exploring Operation: 79-24=55, Resulting Numbers: [2, 5, 55]
Generated Node #2: [2, 5, 55] from Operation: 79-24=55
Current State: 22:[2, 5, 55], Operations: ['79-24=55']
Exploring Operation: 2*55=110, Resulting Numbers: [5, 110]
Generated Node #3: [5, 110] from Operation: 2*55=110
Current State: 22:[5, 110], Operations: ['79-24=55', '2*55=110']
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
29,
30,
89,
61
] | 86 | [
"29+61=90",
"90/30=3",
"89-3=86"
] | Current State: 86:[29, 30, 89, 61], Operations: []
Exploring Operation: 29+61=90, Resulting Numbers: [30, 89, 90]
Generated Node #2: [30, 89, 90] from Operation: 29+61=90
Current State: 86:[30, 89, 90], Operations: ['29+61=90']
Exploring Operation: 90/30=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 90/30=3
Current State: 86:[89, 3], Operations: ['29+61=90', '90/30=3']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
58,
9,
95,
73
] | 56 | [
"58+95=153",
"153/9=17",
"73-17=56"
] | Current State: 56:[58, 9, 95, 73], Operations: []
Exploring Operation: 58+95=153, Resulting Numbers: [9, 73, 153]
Generated Node #2: [9, 73, 153] from Operation: 58+95=153
Current State: 56:[9, 73, 153], Operations: ['58+95=153']
Exploring Operation: 153/9=17, Resulting Numbers: [73, 17]
Generated Node #3: [73, 17] from Operation: 153/9=17
Current State: 56:[73, 17], Operations: ['58+95=153', '153/9=17']
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
5,
10,
5,
79
] | 42 | [
"10/5=2",
"5+79=84",
"84/2=42"
] | Current State: 42:[5, 10, 5, 79], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [79, 2]
Generated Node #2: [79, 2] from Operation: 10/5=2
Current State: 42:[79, 2], Operations: ['10/5=2']
Exploring Operation: 5+79=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 5+79=84
Current State: 42:[2, 84], Operations: ['10/5=2', '5+79=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
64,
78,
32,
47
] | 16 | [
"64/32=2",
"47*2=94",
"94-78=16"
] | Current State: 16:[64, 78, 32, 47], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [78, 47, 2]
Generated Node #2: [78, 47, 2] from Operation: 64/32=2
Current State: 16:[78, 47, 2], Operations: ['64/32=2']
Exploring Operation: 47*2=94, Resulting Numbers: [78, 94]
Generated Node #3: [78, 94] from Operation: 47*2=94
Current State: 16:[78, 94], Operations: ['64/32=2', '47*2=94']
Exploring Operation: 94-78=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
25,
53,
70,
57
] | 41 | [
"53-25=28",
"70-57=13",
"28+13=41"
] | Current State: 41:[25, 53, 70, 57], Operations: []
Exploring Operation: 53-25=28, Resulting Numbers: [70, 57, 28]
Generated Node #2: [70, 57, 28] from Operation: 53-25=28
Current State: 41:[70, 57, 28], Operations: ['53-25=28']
Exploring Operation: 70-57=13, Resulting Numbers: [28, 13]
Generated Node #3: [28, 13] from Operation: 70-57=13
Current State: 41:[28, 13], Operations: ['53-25=28', '70-57=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
79,
25,
81,
65
] | 42 | [
"79+25=104",
"81+65=146",
"146-104=42"
] | Current State: 42:[79, 25, 81, 65], Operations: []
Exploring Operation: 79+25=104, Resulting Numbers: [81, 65, 104]
Generated Node #2: [81, 65, 104] from Operation: 79+25=104
Current State: 42:[81, 65, 104], Operations: ['79+25=104']
Exploring Operation: 81+65=146, Resulting Numbers: [104, 146]
Generated Node #3: [104, 146] from Operation: 81+65=146
Current State: 42:[104, 146], Operations: ['79+25=104', '81+65=146']
Exploring Operation: 146-104=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
7,
31,
6,
51
] | 22 | [
"7*6=42",
"51-31=20",
"42-20=22"
] | Current State: 22:[7, 31, 6, 51], Operations: []
Exploring Operation: 7*6=42, Resulting Numbers: [31, 51, 42]
Generated Node #2: [31, 51, 42] from Operation: 7*6=42
Current State: 22:[31, 51, 42], Operations: ['7*6=42']
Exploring Operation: 51-31=20, Resulting Numbers: [42, 20]
Generated Node #3: [42, 20] from Operation: 51-31=20
Current State: 22:[42, 20], Operations: ['7*6=42', '51-31=20']
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
61,
66,
41,
50
] | 79 | [
"66*50=3300",
"3300-61=3239",
"3239/41=79"
] | Current State: 79:[61, 66, 41, 50], Operations: []
Exploring Operation: 66*50=3300, Resulting Numbers: [61, 41, 3300]
Generated Node #2: [61, 41, 3300] from Operation: 66*50=3300
Current State: 79:[61, 41, 3300], Operations: ['66*50=3300']
Exploring Operation: 3300-61=3239, Resulting Numbers: [41, 3239]
Generated Node #3: [41, 3239] from Operation: 3300-61=3239
Current State: 79:[41, 3239], Operations: ['66*50=3300', '3300-61=3239']
Exploring Operation: 3239/41=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
33,
58,
20,
53
] | 57 | [
"33+20=53",
"53/53=1",
"58-1=57"
] | Current State: 57:[33, 58, 20, 53], Operations: []
Exploring Operation: 33+20=53, Resulting Numbers: [58, 53, 53]
Generated Node #2: [58, 53, 53] from Operation: 33+20=53
Current State: 57:[58, 53, 53], Operations: ['33+20=53']
Exploring Operation: 53/53=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 53/53=1
Current State: 57:[58, 1], Operations: ['33+20=53', '53/53=1']
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
75,
82,
3,
48
] | 59 | [
"75/3=25",
"82-48=34",
"25+34=59"
] | Current State: 59:[75, 82, 3, 48], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [82, 48, 25]
Generated Node #2: [82, 48, 25] from Operation: 75/3=25
Current State: 59:[82, 48, 25], Operations: ['75/3=25']
Exploring Operation: 82-48=34, Resulting Numbers: [25, 34]
Generated Node #3: [25, 34] from Operation: 82-48=34
Current State: 59:[25, 34], Operations: ['75/3=25', '82-48=34']
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
76,
79,
82,
22
] | 24 | [
"76+82=158",
"158/79=2",
"22+2=24"
] | Current State: 24:[76, 79, 82, 22], Operations: []
Exploring Operation: 76+82=158, Resulting Numbers: [79, 22, 158]
Generated Node #2: [79, 22, 158] from Operation: 76+82=158
Current State: 24:[79, 22, 158], Operations: ['76+82=158']
Exploring Operation: 158/79=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 158/79=2
Current State: 24:[22, 2], Operations: ['76+82=158', '158/79=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
93,
46,
38,
53
] | 32 | [
"93-46=47",
"53-38=15",
"47-15=32"
] | Current State: 32:[93, 46, 38, 53], Operations: []
Exploring Operation: 93-46=47, Resulting Numbers: [38, 53, 47]
Generated Node #2: [38, 53, 47] from Operation: 93-46=47
Current State: 32:[38, 53, 47], Operations: ['93-46=47']
Exploring Operation: 53-38=15, Resulting Numbers: [47, 15]
Generated Node #3: [47, 15] from Operation: 53-38=15
Current State: 32:[47, 15], Operations: ['93-46=47', '53-38=15']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
22,
12,
11,
37
] | 88 | [
"11+37=48",
"22*48=1056",
"1056/12=88"
] | Current State: 88:[22, 12, 11, 37], Operations: []
Exploring Operation: 11+37=48, Resulting Numbers: [22, 12, 48]
Generated Node #2: [22, 12, 48] from Operation: 11+37=48
Current State: 88:[22, 12, 48], Operations: ['11+37=48']
Exploring Operation: 22*48=1056, Resulting Numbers: [12, 1056]
Generated Node #3: [12, 1056] from Operation: 22*48=1056
Current State: 88:[12, 1056], Operations: ['11+37=48', '22*48=1056']
Exploring Operation: 1056/12=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
10,
72,
35,
4
] | 23 | [
"72-10=62",
"35+4=39",
"62-39=23"
] | Current State: 23:[10, 72, 35, 4], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [35, 4, 62]
Generated Node #2: [35, 4, 62] from Operation: 72-10=62
Current State: 23:[35, 4, 62], Operations: ['72-10=62']
Exploring Operation: 35+4=39, Resulting Numbers: [62, 39]
Generated Node #3: [62, 39] from Operation: 35+4=39
Current State: 23:[62, 39], Operations: ['72-10=62', '35+4=39']
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
90,
16,
5,
94
] | 100 | [
"90-16=74",
"94-74=20",
"5*20=100"
] | Current State: 100:[90, 16, 5, 94], Operations: []
Exploring Operation: 90-16=74, Resulting Numbers: [5, 94, 74]
Generated Node #2: [5, 94, 74] from Operation: 90-16=74
Current State: 100:[5, 94, 74], Operations: ['90-16=74']
Exploring Operation: 94-74=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 94-74=20
Current State: 100:[5, 20], Operations: ['90-16=74', '94-74=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
10,
83,
21,
31
] | 41 | [
"10+83=93",
"21+31=52",
"93-52=41"
] | Current State: 41:[10, 83, 21, 31], Operations: []
Exploring Operation: 10+83=93, Resulting Numbers: [21, 31, 93]
Generated Node #2: [21, 31, 93] from Operation: 10+83=93
Current State: 41:[21, 31, 93], Operations: ['10+83=93']
Exploring Operation: 21+31=52, Resulting Numbers: [93, 52]
Generated Node #3: [93, 52] from Operation: 21+31=52
Current State: 41:[93, 52], Operations: ['10+83=93', '21+31=52']
Exploring Operation: 93-52=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
82,
17,
38,
8
] | 32 | [
"82+38=120",
"120/8=15",
"17+15=32"
] | Current State: 32:[82, 17, 38, 8], Operations: []
Exploring Operation: 82+38=120, Resulting Numbers: [17, 8, 120]
Generated Node #2: [17, 8, 120] from Operation: 82+38=120
Current State: 32:[17, 8, 120], Operations: ['82+38=120']
Exploring Operation: 120/8=15, Resulting Numbers: [17, 15]
Generated Node #3: [17, 15] from Operation: 120/8=15
Current State: 32:[17, 15], Operations: ['82+38=120', '120/8=15']
Exploring Operation: 17+15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
98,
55,
43,
96
] | 100 | [
"98+55=153",
"96-43=53",
"153-53=100"
] | Current State: 100:[98, 55, 43, 96], Operations: []
Exploring Operation: 98+55=153, Resulting Numbers: [43, 96, 153]
Generated Node #2: [43, 96, 153] from Operation: 98+55=153
Current State: 100:[43, 96, 153], Operations: ['98+55=153']
Exploring Operation: 96-43=53, Resulting Numbers: [153, 53]
Generated Node #3: [153, 53] from Operation: 96-43=53
Current State: 100:[153, 53], Operations: ['98+55=153', '96-43=53']
Exploring Operation: 153-53=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
51,
20,
64,
15
] | 65 | [
"64-51=13",
"20-15=5",
"13*5=65"
] | Current State: 65:[51, 20, 64, 15], Operations: []
Exploring Operation: 64-51=13, Resulting Numbers: [20, 15, 13]
Generated Node #2: [20, 15, 13] from Operation: 64-51=13
Current State: 65:[20, 15, 13], Operations: ['64-51=13']
Exploring Operation: 20-15=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 20-15=5
Current State: 65:[13, 5], Operations: ['64-51=13', '20-15=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
48,
57,
78,
83
] | 56 | [
"48+57=105",
"78+83=161",
"161-105=56"
] | Current State: 56:[48, 57, 78, 83], Operations: []
Exploring Operation: 48+57=105, Resulting Numbers: [78, 83, 105]
Generated Node #2: [78, 83, 105] from Operation: 48+57=105
Current State: 56:[78, 83, 105], Operations: ['48+57=105']
Exploring Operation: 78+83=161, Resulting Numbers: [105, 161]
Generated Node #3: [105, 161] from Operation: 78+83=161
Current State: 56:[105, 161], Operations: ['48+57=105', '78+83=161']
Exploring Operation: 161-105=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
57,
40,
11,
29
] | 79 | [
"57+40=97",
"29-11=18",
"97-18=79"
] | Current State: 79:[57, 40, 11, 29], Operations: []
Exploring Operation: 57+40=97, Resulting Numbers: [11, 29, 97]
Generated Node #2: [11, 29, 97] from Operation: 57+40=97
Current State: 79:[11, 29, 97], Operations: ['57+40=97']
Exploring Operation: 29-11=18, Resulting Numbers: [97, 18]
Generated Node #3: [97, 18] from Operation: 29-11=18
Current State: 79:[97, 18], Operations: ['57+40=97', '29-11=18']
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
9,
85,
80,
66
] | 17 | [
"80-9=71",
"71-66=5",
"85/5=17"
] | Current State: 17:[9, 85, 80, 66], Operations: []
Exploring Operation: 80-9=71, Resulting Numbers: [85, 66, 71]
Generated Node #2: [85, 66, 71] from Operation: 80-9=71
Current State: 17:[85, 66, 71], Operations: ['80-9=71']
Exploring Operation: 71-66=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 71-66=5
Current State: 17:[85, 5], Operations: ['80-9=71', '71-66=5']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
2,
92,
46,
5
] | 43 | [
"2+92=94",
"46+5=51",
"94-51=43"
] | Current State: 43:[2, 92, 46, 5], Operations: []
Exploring Operation: 2+92=94, Resulting Numbers: [46, 5, 94]
Generated Node #2: [46, 5, 94] from Operation: 2+92=94
Current State: 43:[46, 5, 94], Operations: ['2+92=94']
Exploring Operation: 46+5=51, Resulting Numbers: [94, 51]
Generated Node #3: [94, 51] from Operation: 46+5=51
Current State: 43:[94, 51], Operations: ['2+92=94', '46+5=51']
Exploring Operation: 94-51=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
79,
16,
77,
90
] | 98 | [
"79-77=2",
"16/2=8",
"90+8=98"
] | Current State: 98:[79, 16, 77, 90], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [16, 90, 2]
Generated Node #2: [16, 90, 2] from Operation: 79-77=2
Current State: 98:[16, 90, 2], Operations: ['79-77=2']
Exploring Operation: 16/2=8, Resulting Numbers: [90, 8]
Generated Node #3: [90, 8] from Operation: 16/2=8
Current State: 98:[90, 8], Operations: ['79-77=2', '16/2=8']
Exploring Operation: 90+8=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
4,
8,
74,
22
] | 20 | [
"4*8=32",
"74-22=52",
"52-32=20"
] | Current State: 20:[4, 8, 74, 22], Operations: []
Exploring Operation: 4*8=32, Resulting Numbers: [74, 22, 32]
Generated Node #2: [74, 22, 32] from Operation: 4*8=32
Current State: 20:[74, 22, 32], Operations: ['4*8=32']
Exploring Operation: 74-22=52, Resulting Numbers: [32, 52]
Generated Node #3: [32, 52] from Operation: 74-22=52
Current State: 20:[32, 52], Operations: ['4*8=32', '74-22=52']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
84,
93,
82,
92
] | 88 | [
"92-84=8",
"93-82=11",
"8*11=88"
] | Current State: 88:[84, 93, 82, 92], Operations: []
Exploring Operation: 92-84=8, Resulting Numbers: [93, 82, 8]
Generated Node #2: [93, 82, 8] from Operation: 92-84=8
Current State: 88:[93, 82, 8], Operations: ['92-84=8']
Exploring Operation: 93-82=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 93-82=11
Current State: 88:[8, 11], Operations: ['92-84=8', '93-82=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
48,
46,
97,
52
] | 43 | [
"48-46=2",
"97-52=45",
"45-2=43"
] | Current State: 43:[48, 46, 97, 52], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [97, 52, 2]
Generated Node #2: [97, 52, 2] from Operation: 48-46=2
Current State: 43:[97, 52, 2], Operations: ['48-46=2']
Exploring Operation: 97-52=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 97-52=45
Current State: 43:[2, 45], Operations: ['48-46=2', '97-52=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
52,
42,
72,
60
] | 26 | [
"72-42=30",
"52*30=1560",
"1560/60=26"
] | Current State: 26:[52, 42, 72, 60], Operations: []
Exploring Operation: 72-42=30, Resulting Numbers: [52, 60, 30]
Generated Node #2: [52, 60, 30] from Operation: 72-42=30
Current State: 26:[52, 60, 30], Operations: ['72-42=30']
Exploring Operation: 52*30=1560, Resulting Numbers: [60, 1560]
Generated Node #3: [60, 1560] from Operation: 52*30=1560
Current State: 26:[60, 1560], Operations: ['72-42=30', '52*30=1560']
Exploring Operation: 1560/60=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
61,
5,
3,
96
] | 98 | [
"61+5=66",
"96/3=32",
"66+32=98"
] | Current State: 98:[61, 5, 3, 96], Operations: []
Exploring Operation: 61+5=66, Resulting Numbers: [3, 96, 66]
Generated Node #2: [3, 96, 66] from Operation: 61+5=66
Current State: 98:[3, 96, 66], Operations: ['61+5=66']
Exploring Operation: 96/3=32, Resulting Numbers: [66, 32]
Generated Node #3: [66, 32] from Operation: 96/3=32
Current State: 98:[66, 32], Operations: ['61+5=66', '96/3=32']
Exploring Operation: 66+32=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
30,
39,
9,
19
] | 79 | [
"30+39=69",
"19-9=10",
"69+10=79"
] | Current State: 79:[30, 39, 9, 19], Operations: []
Exploring Operation: 30+39=69, Resulting Numbers: [9, 19, 69]
Generated Node #2: [9, 19, 69] from Operation: 30+39=69
Current State: 79:[9, 19, 69], Operations: ['30+39=69']
Exploring Operation: 19-9=10, Resulting Numbers: [69, 10]
Generated Node #3: [69, 10] from Operation: 19-9=10
Current State: 79:[69, 10], Operations: ['30+39=69', '19-9=10']
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
10,
62,
73,
89
] | 68 | [
"62-10=52",
"89-73=16",
"52+16=68"
] | Current State: 68:[10, 62, 73, 89], Operations: []
Exploring Operation: 62-10=52, Resulting Numbers: [73, 89, 52]
Generated Node #2: [73, 89, 52] from Operation: 62-10=52
Current State: 68:[73, 89, 52], Operations: ['62-10=52']
Exploring Operation: 89-73=16, Resulting Numbers: [52, 16]
Generated Node #3: [52, 16] from Operation: 89-73=16
Current State: 68:[52, 16], Operations: ['62-10=52', '89-73=16']
Exploring Operation: 52+16=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
32,
96,
69,
85
] | 48 | [
"96-32=64",
"85-69=16",
"64-16=48"
] | Current State: 48:[32, 96, 69, 85], Operations: []
Exploring Operation: 96-32=64, Resulting Numbers: [69, 85, 64]
Generated Node #2: [69, 85, 64] from Operation: 96-32=64
Current State: 48:[69, 85, 64], Operations: ['96-32=64']
Exploring Operation: 85-69=16, Resulting Numbers: [64, 16]
Generated Node #3: [64, 16] from Operation: 85-69=16
Current State: 48:[64, 16], Operations: ['96-32=64', '85-69=16']
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
93,
6,
5,
96
] | 12 | [
"93+5=98",
"98-96=2",
"6*2=12"
] | Current State: 12:[93, 6, 5, 96], Operations: []
Exploring Operation: 93+5=98, Resulting Numbers: [6, 96, 98]
Generated Node #2: [6, 96, 98] from Operation: 93+5=98
Current State: 12:[6, 96, 98], Operations: ['93+5=98']
Exploring Operation: 98-96=2, Resulting Numbers: [6, 2]
Generated Node #3: [6, 2] from Operation: 98-96=2
Current State: 12:[6, 2], Operations: ['93+5=98', '98-96=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
24,
91,
6,
12
] | 87 | [
"24/12=2",
"91-6=85",
"2+85=87"
] | Current State: 87:[24, 91, 6, 12], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [91, 6, 2]
Generated Node #2: [91, 6, 2] from Operation: 24/12=2
Current State: 87:[91, 6, 2], Operations: ['24/12=2']
Exploring Operation: 91-6=85, Resulting Numbers: [2, 85]
Generated Node #3: [2, 85] from Operation: 91-6=85
Current State: 87:[2, 85], Operations: ['24/12=2', '91-6=85']
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
4,
96,
4,
46
] | 46 | [
"4-4=0",
"96*0=0",
"46+0=46"
] | Current State: 46:[4, 96, 4, 46], Operations: []
Exploring Operation: 4-4=0, Resulting Numbers: [96, 46, 0]
Generated Node #2: [96, 46, 0] from Operation: 4-4=0
Current State: 46:[96, 46, 0], Operations: ['4-4=0']
Exploring Operation: 96*0=0, Resulting Numbers: [46, 0]
Generated Node #3: [46, 0] from Operation: 96*0=0
Current State: 46:[46, 0], Operations: ['4-4=0', '96*0=0']
Exploring Operation: 46+0=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
70,
69,
74,
2
] | 72 | [
"70-69=1",
"74-2=72",
"1*72=72"
] | Current State: 72:[70, 69, 74, 2], Operations: []
Exploring Operation: 70-69=1, Resulting Numbers: [74, 2, 1]
Generated Node #2: [74, 2, 1] from Operation: 70-69=1
Current State: 72:[74, 2, 1], Operations: ['70-69=1']
Exploring Operation: 74-2=72, Resulting Numbers: [1, 72]
Generated Node #3: [1, 72] from Operation: 74-2=72
Current State: 72:[1, 72], Operations: ['70-69=1', '74-2=72']
Exploring Operation: 1*72=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
9,
16,
85,
51
] | 41 | [
"16-9=7",
"85-51=34",
"7+34=41"
] | Current State: 41:[9, 16, 85, 51], Operations: []
Exploring Operation: 16-9=7, Resulting Numbers: [85, 51, 7]
Generated Node #2: [85, 51, 7] from Operation: 16-9=7
Current State: 41:[85, 51, 7], Operations: ['16-9=7']
Exploring Operation: 85-51=34, Resulting Numbers: [7, 34]
Generated Node #3: [7, 34] from Operation: 85-51=34
Current State: 41:[7, 34], Operations: ['16-9=7', '85-51=34']
Exploring Operation: 7+34=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
50,
65,
48,
50
] | 48 | [
"50-50=0",
"65*0=0",
"48+0=48"
] | Current State: 48:[50, 65, 48, 50], Operations: []
Exploring Operation: 50-50=0, Resulting Numbers: [65, 48, 0]
Generated Node #2: [65, 48, 0] from Operation: 50-50=0
Current State: 48:[65, 48, 0], Operations: ['50-50=0']
Exploring Operation: 65*0=0, Resulting Numbers: [48, 0]
Generated Node #3: [48, 0] from Operation: 65*0=0
Current State: 48:[48, 0], Operations: ['50-50=0', '65*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
11,
79,
9,
82
] | 62 | [
"11*9=99",
"79+82=161",
"161-99=62"
] | Current State: 62:[11, 79, 9, 82], Operations: []
Exploring Operation: 11*9=99, Resulting Numbers: [79, 82, 99]
Generated Node #2: [79, 82, 99] from Operation: 11*9=99
Current State: 62:[79, 82, 99], Operations: ['11*9=99']
Exploring Operation: 79+82=161, Resulting Numbers: [99, 161]
Generated Node #3: [99, 161] from Operation: 79+82=161
Current State: 62:[99, 161], Operations: ['11*9=99', '79+82=161']
Exploring Operation: 161-99=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
48,
9,
63,
68
] | 62 | [
"48+9=57",
"68-63=5",
"57+5=62"
] | Current State: 62:[48, 9, 63, 68], Operations: []
Exploring Operation: 48+9=57, Resulting Numbers: [63, 68, 57]
Generated Node #2: [63, 68, 57] from Operation: 48+9=57
Current State: 62:[63, 68, 57], Operations: ['48+9=57']
Exploring Operation: 68-63=5, Resulting Numbers: [57, 5]
Generated Node #3: [57, 5] from Operation: 68-63=5
Current State: 62:[57, 5], Operations: ['48+9=57', '68-63=5']
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
79,
25,
16,
7
] | 77 | [
"79-25=54",
"16+7=23",
"54+23=77"
] | Current State: 77:[79, 25, 16, 7], Operations: []
Exploring Operation: 79-25=54, Resulting Numbers: [16, 7, 54]
Generated Node #2: [16, 7, 54] from Operation: 79-25=54
Current State: 77:[16, 7, 54], Operations: ['79-25=54']
Exploring Operation: 16+7=23, Resulting Numbers: [54, 23]
Generated Node #3: [54, 23] from Operation: 16+7=23
Current State: 77:[54, 23], Operations: ['79-25=54', '16+7=23']
Exploring Operation: 54+23=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
39,
60,
1,
32
] | 67 | [
"39+60=99",
"1*32=32",
"99-32=67"
] | Current State: 67:[39, 60, 1, 32], Operations: []
Exploring Operation: 39+60=99, Resulting Numbers: [1, 32, 99]
Generated Node #2: [1, 32, 99] from Operation: 39+60=99
Current State: 67:[1, 32, 99], Operations: ['39+60=99']
Exploring Operation: 1*32=32, Resulting Numbers: [99, 32]
Generated Node #3: [99, 32] from Operation: 1*32=32
Current State: 67:[99, 32], Operations: ['39+60=99', '1*32=32']
Exploring Operation: 99-32=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
61,
44,
29,
53
] | 99 | [
"61-44=17",
"29+53=82",
"17+82=99"
] | Current State: 99:[61, 44, 29, 53], Operations: []
Exploring Operation: 61-44=17, Resulting Numbers: [29, 53, 17]
Generated Node #2: [29, 53, 17] from Operation: 61-44=17
Current State: 99:[29, 53, 17], Operations: ['61-44=17']
Exploring Operation: 29+53=82, Resulting Numbers: [17, 82]
Generated Node #3: [17, 82] from Operation: 29+53=82
Current State: 99:[17, 82], Operations: ['61-44=17', '29+53=82']
Exploring Operation: 17+82=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
44,
58,
95,
2
] | 51 | [
"44*2=88",
"95-58=37",
"88-37=51"
] | Current State: 51:[44, 58, 95, 2], Operations: []
Exploring Operation: 44*2=88, Resulting Numbers: [58, 95, 88]
Generated Node #2: [58, 95, 88] from Operation: 44*2=88
Current State: 51:[58, 95, 88], Operations: ['44*2=88']
Exploring Operation: 95-58=37, Resulting Numbers: [88, 37]
Generated Node #3: [88, 37] from Operation: 95-58=37
Current State: 51:[88, 37], Operations: ['44*2=88', '95-58=37']
Exploring Operation: 88-37=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
10,
68,
21,
3
] | 76 | [
"68-10=58",
"21-3=18",
"58+18=76"
] | Current State: 76:[10, 68, 21, 3], Operations: []
Exploring Operation: 68-10=58, Resulting Numbers: [21, 3, 58]
Generated Node #2: [21, 3, 58] from Operation: 68-10=58
Current State: 76:[21, 3, 58], Operations: ['68-10=58']
Exploring Operation: 21-3=18, Resulting Numbers: [58, 18]
Generated Node #3: [58, 18] from Operation: 21-3=18
Current State: 76:[58, 18], Operations: ['68-10=58', '21-3=18']
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
33,
84,
61,
39
] | 47 | [
"39-33=6",
"84/6=14",
"61-14=47"
] | Current State: 47:[33, 84, 61, 39], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [84, 61, 6]
Generated Node #2: [84, 61, 6] from Operation: 39-33=6
Current State: 47:[84, 61, 6], Operations: ['39-33=6']
Exploring Operation: 84/6=14, Resulting Numbers: [61, 14]
Generated Node #3: [61, 14] from Operation: 84/6=14
Current State: 47:[61, 14], Operations: ['39-33=6', '84/6=14']
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
41,
47,
64,
4
] | 88 | [
"47-41=6",
"4*6=24",
"64+24=88"
] | Current State: 88:[41, 47, 64, 4], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [64, 4, 6]
Generated Node #2: [64, 4, 6] from Operation: 47-41=6
Current State: 88:[64, 4, 6], Operations: ['47-41=6']
Exploring Operation: 4*6=24, Resulting Numbers: [64, 24]
Generated Node #3: [64, 24] from Operation: 4*6=24
Current State: 88:[64, 24], Operations: ['47-41=6', '4*6=24']
Exploring Operation: 64+24=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
64,
62,
65,
75
] | 13 | [
"65-64=1",
"75-62=13",
"1*13=13"
] | Current State: 13:[64, 62, 65, 75], Operations: []
Exploring Operation: 65-64=1, Resulting Numbers: [62, 75, 1]
Generated Node #2: [62, 75, 1] from Operation: 65-64=1
Current State: 13:[62, 75, 1], Operations: ['65-64=1']
Exploring Operation: 75-62=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 75-62=13
Current State: 13:[1, 13], Operations: ['65-64=1', '75-62=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
38,
33,
33,
85
] | 47 | [
"38+33=71",
"33+85=118",
"118-71=47"
] | Current State: 47:[38, 33, 33, 85], Operations: []
Exploring Operation: 38+33=71, Resulting Numbers: [85, 71]
Generated Node #2: [85, 71] from Operation: 38+33=71
Current State: 47:[85, 71], Operations: ['38+33=71']
Exploring Operation: 33+85=118, Resulting Numbers: [71, 118]
Generated Node #3: [71, 118] from Operation: 33+85=118
Current State: 47:[71, 118], Operations: ['38+33=71', '33+85=118']
Exploring Operation: 118-71=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
92,
83,
47,
52
] | 90 | [
"92-83=9",
"47+52=99",
"99-9=90"
] | Current State: 90:[92, 83, 47, 52], Operations: []
Exploring Operation: 92-83=9, Resulting Numbers: [47, 52, 9]
Generated Node #2: [47, 52, 9] from Operation: 92-83=9
Current State: 90:[47, 52, 9], Operations: ['92-83=9']
Exploring Operation: 47+52=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 47+52=99
Current State: 90:[9, 99], Operations: ['92-83=9', '47+52=99']
Exploring Operation: 99-9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
8,
55,
24,
96
] | 91 | [
"96/8=12",
"55+24=79",
"12+79=91"
] | Current State: 91:[8, 55, 24, 96], Operations: []
Exploring Operation: 96/8=12, Resulting Numbers: [55, 24, 12]
Generated Node #2: [55, 24, 12] from Operation: 96/8=12
Current State: 91:[55, 24, 12], Operations: ['96/8=12']
Exploring Operation: 55+24=79, Resulting Numbers: [12, 79]
Generated Node #3: [12, 79] from Operation: 55+24=79
Current State: 91:[12, 79], Operations: ['96/8=12', '55+24=79']
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
49,
16,
31,
4
] | 38 | [
"49+16=65",
"31-4=27",
"65-27=38"
] | Current State: 38:[49, 16, 31, 4], Operations: []
Exploring Operation: 49+16=65, Resulting Numbers: [31, 4, 65]
Generated Node #2: [31, 4, 65] from Operation: 49+16=65
Current State: 38:[31, 4, 65], Operations: ['49+16=65']
Exploring Operation: 31-4=27, Resulting Numbers: [65, 27]
Generated Node #3: [65, 27] from Operation: 31-4=27
Current State: 38:[65, 27], Operations: ['49+16=65', '31-4=27']
Exploring Operation: 65-27=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
64,
51,
29,
58
] | 16 | [
"64-51=13",
"58-29=29",
"29-13=16"
] | Current State: 16:[64, 51, 29, 58], Operations: []
Exploring Operation: 64-51=13, Resulting Numbers: [29, 58, 13]
Generated Node #2: [29, 58, 13] from Operation: 64-51=13
Current State: 16:[29, 58, 13], Operations: ['64-51=13']
Exploring Operation: 58-29=29, Resulting Numbers: [13, 29]
Generated Node #3: [13, 29] from Operation: 58-29=29
Current State: 16:[13, 29], Operations: ['64-51=13', '58-29=29']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
55,
33,
5,
57
] | 54 | [
"55/5=11",
"33/11=3",
"57-3=54"
] | Current State: 54:[55, 33, 5, 57], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [33, 57, 11]
Generated Node #2: [33, 57, 11] from Operation: 55/5=11
Current State: 54:[33, 57, 11], Operations: ['55/5=11']
Exploring Operation: 33/11=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 33/11=3
Current State: 54:[57, 3], Operations: ['55/5=11', '33/11=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
69,
22,
75,
23
] | 99 | [
"69-22=47",
"75-23=52",
"47+52=99"
] | Current State: 99:[69, 22, 75, 23], Operations: []
Exploring Operation: 69-22=47, Resulting Numbers: [75, 23, 47]
Generated Node #2: [75, 23, 47] from Operation: 69-22=47
Current State: 99:[75, 23, 47], Operations: ['69-22=47']
Exploring Operation: 75-23=52, Resulting Numbers: [47, 52]
Generated Node #3: [47, 52] from Operation: 75-23=52
Current State: 99:[47, 52], Operations: ['69-22=47', '75-23=52']
Exploring Operation: 47+52=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
98,
4,
94,
42
] | 58 | [
"98-94=4",
"4*4=16",
"42+16=58"
] | Current State: 58:[98, 4, 94, 42], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [4, 42, 4]
Generated Node #2: [4, 42, 4] from Operation: 98-94=4
Current State: 58:[4, 42, 4], Operations: ['98-94=4']
Exploring Operation: 4*4=16, Resulting Numbers: [42, 16]
Generated Node #3: [42, 16] from Operation: 4*4=16
Current State: 58:[42, 16], Operations: ['98-94=4', '4*4=16']
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
85,
99,
19,
86
] | 53 | [
"99-85=14",
"86-19=67",
"67-14=53"
] | Current State: 53:[85, 99, 19, 86], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [19, 86, 14]
Generated Node #2: [19, 86, 14] from Operation: 99-85=14
Current State: 53:[19, 86, 14], Operations: ['99-85=14']
Exploring Operation: 86-19=67, Resulting Numbers: [14, 67]
Generated Node #3: [14, 67] from Operation: 86-19=67
Current State: 53:[14, 67], Operations: ['99-85=14', '86-19=67']
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
82,
4,
98,
68
] | 33 | [
"98-82=16",
"68/4=17",
"16+17=33"
] | Current State: 33:[82, 4, 98, 68], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [4, 68, 16]
Generated Node #2: [4, 68, 16] from Operation: 98-82=16
Current State: 33:[4, 68, 16], Operations: ['98-82=16']
Exploring Operation: 68/4=17, Resulting Numbers: [16, 17]
Generated Node #3: [16, 17] from Operation: 68/4=17
Current State: 33:[16, 17], Operations: ['98-82=16', '68/4=17']
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
93,
53,
87,
3
] | 51 | [
"93-87=6",
"6/3=2",
"53-2=51"
] | Current State: 51:[93, 53, 87, 3], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [53, 3, 6]
Generated Node #2: [53, 3, 6] from Operation: 93-87=6
Current State: 51:[53, 3, 6], Operations: ['93-87=6']
Exploring Operation: 6/3=2, Resulting Numbers: [53, 2]
Generated Node #3: [53, 2] from Operation: 6/3=2
Current State: 51:[53, 2], Operations: ['93-87=6', '6/3=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
15,
25,
73,
14
] | 80 | [
"15*73=1095",
"25+1095=1120",
"1120/14=80"
] | Current State: 80:[15, 25, 73, 14], Operations: []
Exploring Operation: 15*73=1095, Resulting Numbers: [25, 14, 1095]
Generated Node #2: [25, 14, 1095] from Operation: 15*73=1095
Current State: 80:[25, 14, 1095], Operations: ['15*73=1095']
Exploring Operation: 25+1095=1120, Resulting Numbers: [14, 1120]
Generated Node #3: [14, 1120] from Operation: 25+1095=1120
Current State: 80:[14, 1120], Operations: ['15*73=1095', '25+1095=1120']
Exploring Operation: 1120/14=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
73,
22,
4,
5
] | 20 | [
"73-5=68",
"22*4=88",
"88-68=20"
] | Current State: 20:[73, 22, 4, 5], Operations: []
Exploring Operation: 73-5=68, Resulting Numbers: [22, 4, 68]
Generated Node #2: [22, 4, 68] from Operation: 73-5=68
Current State: 20:[22, 4, 68], Operations: ['73-5=68']
Exploring Operation: 22*4=88, Resulting Numbers: [68, 88]
Generated Node #3: [68, 88] from Operation: 22*4=88
Current State: 20:[68, 88], Operations: ['73-5=68', '22*4=88']
Exploring Operation: 88-68=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
3,
22,
73,
40
] | 23 | [
"73-22=51",
"51/3=17",
"40-17=23"
] | Current State: 23:[3, 22, 73, 40], Operations: []
Exploring Operation: 73-22=51, Resulting Numbers: [3, 40, 51]
Generated Node #2: [3, 40, 51] from Operation: 73-22=51
Current State: 23:[3, 40, 51], Operations: ['73-22=51']
Exploring Operation: 51/3=17, Resulting Numbers: [40, 17]
Generated Node #3: [40, 17] from Operation: 51/3=17
Current State: 23:[40, 17], Operations: ['73-22=51', '51/3=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
81,
32,
48,
29
] | 94 | [
"81+32=113",
"48-29=19",
"113-19=94"
] | Current State: 94:[81, 32, 48, 29], Operations: []
Exploring Operation: 81+32=113, Resulting Numbers: [48, 29, 113]
Generated Node #2: [48, 29, 113] from Operation: 81+32=113
Current State: 94:[48, 29, 113], Operations: ['81+32=113']
Exploring Operation: 48-29=19, Resulting Numbers: [113, 19]
Generated Node #3: [113, 19] from Operation: 48-29=19
Current State: 94:[113, 19], Operations: ['81+32=113', '48-29=19']
Exploring Operation: 113-19=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
78,
87,
20,
48
] | 10 | [
"87-48=39",
"78/39=2",
"20/2=10"
] | Current State: 10:[78, 87, 20, 48], Operations: []
Exploring Operation: 87-48=39, Resulting Numbers: [78, 20, 39]
Generated Node #2: [78, 20, 39] from Operation: 87-48=39
Current State: 10:[78, 20, 39], Operations: ['87-48=39']
Exploring Operation: 78/39=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 78/39=2
Current State: 10:[20, 2], Operations: ['87-48=39', '78/39=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
24,
68,
79,
96
] | 96 | [
"24*68=1632",
"96-79=17",
"1632/17=96"
] | Current State: 96:[24, 68, 79, 96], Operations: []
Exploring Operation: 24*68=1632, Resulting Numbers: [79, 96, 1632]
Generated Node #2: [79, 96, 1632] from Operation: 24*68=1632
Current State: 96:[79, 96, 1632], Operations: ['24*68=1632']
Exploring Operation: 96-79=17, Resulting Numbers: [1632, 17]
Generated Node #3: [1632, 17] from Operation: 96-79=17
Current State: 96:[1632, 17], Operations: ['24*68=1632', '96-79=17']
Exploring Operation: 1632/17=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
68,
21,
34,
6
] | 87 | [
"68-21=47",
"34+6=40",
"47+40=87"
] | Current State: 87:[68, 21, 34, 6], Operations: []
Exploring Operation: 68-21=47, Resulting Numbers: [34, 6, 47]
Generated Node #2: [34, 6, 47] from Operation: 68-21=47
Current State: 87:[34, 6, 47], Operations: ['68-21=47']
Exploring Operation: 34+6=40, Resulting Numbers: [47, 40]
Generated Node #3: [47, 40] from Operation: 34+6=40
Current State: 87:[47, 40], Operations: ['68-21=47', '34+6=40']
Exploring Operation: 47+40=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
28,
49,
34,
45
] | 66 | [
"28+49=77",
"45-34=11",
"77-11=66"
] | Current State: 66:[28, 49, 34, 45], Operations: []
Exploring Operation: 28+49=77, Resulting Numbers: [34, 45, 77]
Generated Node #2: [34, 45, 77] from Operation: 28+49=77
Current State: 66:[34, 45, 77], Operations: ['28+49=77']
Exploring Operation: 45-34=11, Resulting Numbers: [77, 11]
Generated Node #3: [77, 11] from Operation: 45-34=11
Current State: 66:[77, 11], Operations: ['28+49=77', '45-34=11']
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
37,
76,
31,
3
] | 24 | [
"76-37=39",
"39-31=8",
"3*8=24"
] | Current State: 24:[37, 76, 31, 3], Operations: []
Exploring Operation: 76-37=39, Resulting Numbers: [31, 3, 39]
Generated Node #2: [31, 3, 39] from Operation: 76-37=39
Current State: 24:[31, 3, 39], Operations: ['76-37=39']
Exploring Operation: 39-31=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 39-31=8
Current State: 24:[3, 8], Operations: ['76-37=39', '39-31=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
72,
7,
1,
21
] | 54 | [
"7-1=6",
"21*6=126",
"126-72=54"
] | Current State: 54:[72, 7, 1, 21], Operations: []
Exploring Operation: 7-1=6, Resulting Numbers: [72, 21, 6]
Generated Node #2: [72, 21, 6] from Operation: 7-1=6
Current State: 54:[72, 21, 6], Operations: ['7-1=6']
Exploring Operation: 21*6=126, Resulting Numbers: [72, 126]
Generated Node #3: [72, 126] from Operation: 21*6=126
Current State: 54:[72, 126], Operations: ['7-1=6', '21*6=126']
Exploring Operation: 126-72=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
83,
24,
78,
46
] | 17 | [
"83+24=107",
"78+46=124",
"124-107=17"
] | Current State: 17:[83, 24, 78, 46], Operations: []
Exploring Operation: 83+24=107, Resulting Numbers: [78, 46, 107]
Generated Node #2: [78, 46, 107] from Operation: 83+24=107
Current State: 17:[78, 46, 107], Operations: ['83+24=107']
Exploring Operation: 78+46=124, Resulting Numbers: [107, 124]
Generated Node #3: [107, 124] from Operation: 78+46=124
Current State: 17:[107, 124], Operations: ['83+24=107', '78+46=124']
Exploring Operation: 124-107=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
23,
16,
45,
16
] | 23 | [
"45-23=22",
"16/16=1",
"22+1=23"
] | Current State: 23:[23, 16, 45, 16], Operations: []
Exploring Operation: 45-23=22, Resulting Numbers: [16, 16, 22]
Generated Node #2: [16, 16, 22] from Operation: 45-23=22
Current State: 23:[16, 16, 22], Operations: ['45-23=22']
Exploring Operation: 16/16=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 16/16=1
Current State: 23:[22, 1], Operations: ['45-23=22', '16/16=1']
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
94,
86,
62,
90
] | 31 | [
"94+86=180",
"62*90=5580",
"5580/180=31"
] | Current State: 31:[94, 86, 62, 90], Operations: []
Exploring Operation: 94+86=180, Resulting Numbers: [62, 90, 180]
Generated Node #2: [62, 90, 180] from Operation: 94+86=180
Current State: 31:[62, 90, 180], Operations: ['94+86=180']
Exploring Operation: 62*90=5580, Resulting Numbers: [180, 5580]
Generated Node #3: [180, 5580] from Operation: 62*90=5580
Current State: 31:[180, 5580], Operations: ['94+86=180', '62*90=5580']
Exploring Operation: 5580/180=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
60,
76,
4,
96
] | 50 | [
"76+4=80",
"60*80=4800",
"4800/96=50"
] | Current State: 50:[60, 76, 4, 96], Operations: []
Exploring Operation: 76+4=80, Resulting Numbers: [60, 96, 80]
Generated Node #2: [60, 96, 80] from Operation: 76+4=80
Current State: 50:[60, 96, 80], Operations: ['76+4=80']
Exploring Operation: 60*80=4800, Resulting Numbers: [96, 4800]
Generated Node #3: [96, 4800] from Operation: 60*80=4800
Current State: 50:[96, 4800], Operations: ['76+4=80', '60*80=4800']
Exploring Operation: 4800/96=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
16,
27,
53,
77
] | 72 | [
"27+53=80",
"80/16=5",
"77-5=72"
] | Current State: 72:[16, 27, 53, 77], Operations: []
Exploring Operation: 27+53=80, Resulting Numbers: [16, 77, 80]
Generated Node #2: [16, 77, 80] from Operation: 27+53=80
Current State: 72:[16, 77, 80], Operations: ['27+53=80']
Exploring Operation: 80/16=5, Resulting Numbers: [77, 5]
Generated Node #3: [77, 5] from Operation: 80/16=5
Current State: 72:[77, 5], Operations: ['27+53=80', '80/16=5']
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
8,
41,
87
] | 100 | [
"87-41=46",
"2*46=92",
"8+92=100"
] | Current State: 100:[2, 8, 41, 87], Operations: []
Exploring Operation: 87-41=46, Resulting Numbers: [2, 8, 46]
Generated Node #2: [2, 8, 46] from Operation: 87-41=46
Current State: 100:[2, 8, 46], Operations: ['87-41=46']
Exploring Operation: 2*46=92, Resulting Numbers: [8, 92]
Generated Node #3: [8, 92] from Operation: 2*46=92
Current State: 100:[8, 92], Operations: ['87-41=46', '2*46=92']
Exploring Operation: 8+92=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
8,
75,
95,
30
] | 18 | [
"8+75=83",
"95-30=65",
"83-65=18"
] | Current State: 18:[8, 75, 95, 30], Operations: []
Exploring Operation: 8+75=83, Resulting Numbers: [95, 30, 83]
Generated Node #2: [95, 30, 83] from Operation: 8+75=83
Current State: 18:[95, 30, 83], Operations: ['8+75=83']
Exploring Operation: 95-30=65, Resulting Numbers: [83, 65]
Generated Node #3: [83, 65] from Operation: 95-30=65
Current State: 18:[83, 65], Operations: ['8+75=83', '95-30=65']
Exploring Operation: 83-65=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
88,
59,
61,
39
] | 51 | [
"88-59=29",
"61-39=22",
"29+22=51"
] | Current State: 51:[88, 59, 61, 39], Operations: []
Exploring Operation: 88-59=29, Resulting Numbers: [61, 39, 29]
Generated Node #2: [61, 39, 29] from Operation: 88-59=29
Current State: 51:[61, 39, 29], Operations: ['88-59=29']
Exploring Operation: 61-39=22, Resulting Numbers: [29, 22]
Generated Node #3: [29, 22] from Operation: 61-39=22
Current State: 51:[29, 22], Operations: ['88-59=29', '61-39=22']
Exploring Operation: 29+22=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
74,
77,
60,
6
] | 97 | [
"74+77=151",
"60-6=54",
"151-54=97"
] | Current State: 97:[74, 77, 60, 6], Operations: []
Exploring Operation: 74+77=151, Resulting Numbers: [60, 6, 151]
Generated Node #2: [60, 6, 151] from Operation: 74+77=151
Current State: 97:[60, 6, 151], Operations: ['74+77=151']
Exploring Operation: 60-6=54, Resulting Numbers: [151, 54]
Generated Node #3: [151, 54] from Operation: 60-6=54
Current State: 97:[151, 54], Operations: ['74+77=151', '60-6=54']
Exploring Operation: 151-54=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
25,
44,
20
] | 42 | [
"25-3=22",
"44+20=64",
"64-22=42"
] | Current State: 42:[3, 25, 44, 20], Operations: []
Exploring Operation: 25-3=22, Resulting Numbers: [44, 20, 22]
Generated Node #2: [44, 20, 22] from Operation: 25-3=22
Current State: 42:[44, 20, 22], Operations: ['25-3=22']
Exploring Operation: 44+20=64, Resulting Numbers: [22, 64]
Generated Node #3: [22, 64] from Operation: 44+20=64
Current State: 42:[22, 64], Operations: ['25-3=22', '44+20=64']
Exploring Operation: 64-22=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
2,
27,
75,
8
] | 47 | [
"27+75=102",
"102-8=94",
"94/2=47"
] | Current State: 47:[2, 27, 75, 8], Operations: []
Exploring Operation: 27+75=102, Resulting Numbers: [2, 8, 102]
Generated Node #2: [2, 8, 102] from Operation: 27+75=102
Current State: 47:[2, 8, 102], Operations: ['27+75=102']
Exploring Operation: 102-8=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 102-8=94
Current State: 47:[2, 94], Operations: ['27+75=102', '102-8=94']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
40,
19,
56,
2
] | 57 | [
"40/2=20",
"56-19=37",
"20+37=57"
] | Current State: 57:[40, 19, 56, 2], Operations: []
Exploring Operation: 40/2=20, Resulting Numbers: [19, 56, 20]
Generated Node #2: [19, 56, 20] from Operation: 40/2=20
Current State: 57:[19, 56, 20], Operations: ['40/2=20']
Exploring Operation: 56-19=37, Resulting Numbers: [20, 37]
Generated Node #3: [20, 37] from Operation: 56-19=37
Current State: 57:[20, 37], Operations: ['40/2=20', '56-19=37']
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
51,
91,
39,
23
] | 23 | [
"91-51=40",
"40-39=1",
"23*1=23"
] | Current State: 23:[51, 91, 39, 23], Operations: []
Exploring Operation: 91-51=40, Resulting Numbers: [39, 23, 40]
Generated Node #2: [39, 23, 40] from Operation: 91-51=40
Current State: 23:[39, 23, 40], Operations: ['91-51=40']
Exploring Operation: 40-39=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 40-39=1
Current State: 23:[23, 1], Operations: ['91-51=40', '40-39=1']
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
48,
39,
82,
3
] | 88 | [
"48-39=9",
"82-3=79",
"9+79=88"
] | Current State: 88:[48, 39, 82, 3], Operations: []
Exploring Operation: 48-39=9, Resulting Numbers: [82, 3, 9]
Generated Node #2: [82, 3, 9] from Operation: 48-39=9
Current State: 88:[82, 3, 9], Operations: ['48-39=9']
Exploring Operation: 82-3=79, Resulting Numbers: [9, 79]
Generated Node #3: [9, 79] from Operation: 82-3=79
Current State: 88:[9, 79], Operations: ['48-39=9', '82-3=79']
Exploring Operation: 9+79=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
67,
99,
15,
66
] | 85 | [
"67+99=166",
"15+66=81",
"166-81=85"
] | Current State: 85:[67, 99, 15, 66], Operations: []
Exploring Operation: 67+99=166, Resulting Numbers: [15, 66, 166]
Generated Node #2: [15, 66, 166] from Operation: 67+99=166
Current State: 85:[15, 66, 166], Operations: ['67+99=166']
Exploring Operation: 15+66=81, Resulting Numbers: [166, 81]
Generated Node #3: [166, 81] from Operation: 15+66=81
Current State: 85:[166, 81], Operations: ['67+99=166', '15+66=81']
Exploring Operation: 166-81=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
76,
98,
93,
47
] | 68 | [
"98-76=22",
"93-47=46",
"22+46=68"
] | Current State: 68:[76, 98, 93, 47], Operations: []
Exploring Operation: 98-76=22, Resulting Numbers: [93, 47, 22]
Generated Node #2: [93, 47, 22] from Operation: 98-76=22
Current State: 68:[93, 47, 22], Operations: ['98-76=22']
Exploring Operation: 93-47=46, Resulting Numbers: [22, 46]
Generated Node #3: [22, 46] from Operation: 93-47=46
Current State: 68:[22, 46], Operations: ['98-76=22', '93-47=46']
Exploring Operation: 22+46=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
27,
24,
85,
23
] | 58 | [
"85-27=58",
"24-23=1",
"58*1=58"
] | Current State: 58:[27, 24, 85, 23], Operations: []
Exploring Operation: 85-27=58, Resulting Numbers: [24, 23, 58]
Generated Node #2: [24, 23, 58] from Operation: 85-27=58
Current State: 58:[24, 23, 58], Operations: ['85-27=58']
Exploring Operation: 24-23=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 24-23=1
Current State: 58:[58, 1], Operations: ['85-27=58', '24-23=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
25,
50,
15,
8
] | 25 | [
"50/25=2",
"15+8=23",
"2+23=25"
] | Current State: 25:[25, 50, 15, 8], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [15, 8, 2]
Generated Node #2: [15, 8, 2] from Operation: 50/25=2
Current State: 25:[15, 8, 2], Operations: ['50/25=2']
Exploring Operation: 15+8=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 15+8=23
Current State: 25:[2, 23], Operations: ['50/25=2', '15+8=23']
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
40,
63,
18,
72
] | 28 | [
"40*63=2520",
"18+72=90",
"2520/90=28"
] | Current State: 28:[40, 63, 18, 72], Operations: []
Exploring Operation: 40*63=2520, Resulting Numbers: [18, 72, 2520]
Generated Node #2: [18, 72, 2520] from Operation: 40*63=2520
Current State: 28:[18, 72, 2520], Operations: ['40*63=2520']
Exploring Operation: 18+72=90, Resulting Numbers: [2520, 90]
Generated Node #3: [2520, 90] from Operation: 18+72=90
Current State: 28:[2520, 90], Operations: ['40*63=2520', '18+72=90']
Exploring Operation: 2520/90=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
54,
8,
83,
73
] | 72 | [
"54+8=62",
"83-73=10",
"62+10=72"
] | Current State: 72:[54, 8, 83, 73], Operations: []
Exploring Operation: 54+8=62, Resulting Numbers: [83, 73, 62]
Generated Node #2: [83, 73, 62] from Operation: 54+8=62
Current State: 72:[83, 73, 62], Operations: ['54+8=62']
Exploring Operation: 83-73=10, Resulting Numbers: [62, 10]
Generated Node #3: [62, 10] from Operation: 83-73=10
Current State: 72:[62, 10], Operations: ['54+8=62', '83-73=10']
Exploring Operation: 62+10=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
92,
11,
87,
92
] | 97 | [
"92/92=1",
"11+87=98",
"98-1=97"
] | Current State: 97:[92, 11, 87, 92], Operations: []
Exploring Operation: 92/92=1, Resulting Numbers: [11, 87, 1]
Generated Node #2: [11, 87, 1] from Operation: 92/92=1
Current State: 97:[11, 87, 1], Operations: ['92/92=1']
Exploring Operation: 11+87=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 11+87=98
Current State: 97:[1, 98], Operations: ['92/92=1', '11+87=98']
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
53,
9,
36,
8
] | 17 | [
"53+36=89",
"9*8=72",
"89-72=17"
] | Current State: 17:[53, 9, 36, 8], Operations: []
Exploring Operation: 53+36=89, Resulting Numbers: [9, 8, 89]
Generated Node #2: [9, 8, 89] from Operation: 53+36=89
Current State: 17:[9, 8, 89], Operations: ['53+36=89']
Exploring Operation: 9*8=72, Resulting Numbers: [89, 72]
Generated Node #3: [89, 72] from Operation: 9*8=72
Current State: 17:[89, 72], Operations: ['53+36=89', '9*8=72']
Exploring Operation: 89-72=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
42,
42,
91,
96
] | 91 | [
"42-42=0",
"96*0=0",
"91+0=91"
] | Current State: 91:[42, 42, 91, 96], Operations: []
Exploring Operation: 42-42=0, Resulting Numbers: [91, 96, 0]
Generated Node #2: [91, 96, 0] from Operation: 42-42=0
Current State: 91:[91, 96, 0], Operations: ['42-42=0']
Exploring Operation: 96*0=0, Resulting Numbers: [91, 0]
Generated Node #3: [91, 0] from Operation: 96*0=0
Current State: 91:[91, 0], Operations: ['42-42=0', '96*0=0']
Exploring Operation: 91+0=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
72,
8,
2,
61
] | 89 | [
"72/2=36",
"61-8=53",
"36+53=89"
] | Current State: 89:[72, 8, 2, 61], Operations: []
Exploring Operation: 72/2=36, Resulting Numbers: [8, 61, 36]
Generated Node #2: [8, 61, 36] from Operation: 72/2=36
Current State: 89:[8, 61, 36], Operations: ['72/2=36']
Exploring Operation: 61-8=53, Resulting Numbers: [36, 53]
Generated Node #3: [36, 53] from Operation: 61-8=53
Current State: 89:[36, 53], Operations: ['72/2=36', '61-8=53']
Exploring Operation: 36+53=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
53,
73,
74,
24
] | 28 | [
"53+73=126",
"74+24=98",
"126-98=28"
] | Current State: 28:[53, 73, 74, 24], Operations: []
Exploring Operation: 53+73=126, Resulting Numbers: [74, 24, 126]
Generated Node #2: [74, 24, 126] from Operation: 53+73=126
Current State: 28:[74, 24, 126], Operations: ['53+73=126']
Exploring Operation: 74+24=98, Resulting Numbers: [126, 98]
Generated Node #3: [126, 98] from Operation: 74+24=98
Current State: 28:[126, 98], Operations: ['53+73=126', '74+24=98']
Exploring Operation: 126-98=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
2,
60,
90,
32
] | 34 | [
"2*32=64",
"90-60=30",
"64-30=34"
] | Current State: 34:[2, 60, 90, 32], Operations: []
Exploring Operation: 2*32=64, Resulting Numbers: [60, 90, 64]
Generated Node #2: [60, 90, 64] from Operation: 2*32=64
Current State: 34:[60, 90, 64], Operations: ['2*32=64']
Exploring Operation: 90-60=30, Resulting Numbers: [64, 30]
Generated Node #3: [64, 30] from Operation: 90-60=30
Current State: 34:[64, 30], Operations: ['2*32=64', '90-60=30']
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
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