nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
37,
20,
89,
19
] | 92 | [
"37+20=57",
"57/19=3",
"89+3=92"
] | Current State: 92:[37, 20, 89, 19], Operations: []
Exploring Operation: 37+20=57, Resulting Numbers: [89, 19, 57]
Generated Node #2: [89, 19, 57] from Operation: 37+20=57
Current State: 92:[89, 19, 57], Operations: ['37+20=57']
Exploring Operation: 57/19=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 57/19=3
Current State: 92:[89, 3], Operations: ['37+20=57', '57/19=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
81,
79,
52,
71
] | 68 | [
"79-52=27",
"81/27=3",
"71-3=68"
] | Current State: 68:[81, 79, 52, 71], Operations: []
Exploring Operation: 79-52=27, Resulting Numbers: [81, 71, 27]
Generated Node #2: [81, 71, 27] from Operation: 79-52=27
Current State: 68:[81, 71, 27], Operations: ['79-52=27']
Exploring Operation: 81/27=3, Resulting Numbers: [71, 3]
Generated Node #3: [71, 3] from Operation: 81/27=3
Current State: 68:[71, 3], Operations: ['79-52=27', '81/27=3']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
83,
3,
64,
93
] | 12 | [
"83-64=19",
"93/3=31",
"31-19=12"
] | Current State: 12:[83, 3, 64, 93], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [3, 93, 19]
Generated Node #2: [3, 93, 19] from Operation: 83-64=19
Current State: 12:[3, 93, 19], Operations: ['83-64=19']
Exploring Operation: 93/3=31, Resulting Numbers: [19, 31]
Generated Node #3: [19, 31] from Operation: 93/3=31
Current State: 12:[19, 31], Operations: ['83-64=19', '93/3=31']
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
2,
67,
56,
62
] | 16 | [
"2*67=134",
"56+62=118",
"134-118=16"
] | Current State: 16:[2, 67, 56, 62], Operations: []
Exploring Operation: 2*67=134, Resulting Numbers: [56, 62, 134]
Generated Node #2: [56, 62, 134] from Operation: 2*67=134
Current State: 16:[56, 62, 134], Operations: ['2*67=134']
Exploring Operation: 56+62=118, Resulting Numbers: [134, 118]
Generated Node #3: [134, 118] from Operation: 56+62=118
Current State: 16:[134, 118], Operations: ['2*67=134', '56+62=118']
Exploring Operation: 134-118=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
46,
20,
23,
3
] | 55 | [
"46-20=26",
"3*26=78",
"78-23=55"
] | Current State: 55:[46, 20, 23, 3], Operations: []
Exploring Operation: 46-20=26, Resulting Numbers: [23, 3, 26]
Generated Node #2: [23, 3, 26] from Operation: 46-20=26
Current State: 55:[23, 3, 26], Operations: ['46-20=26']
Exploring Operation: 3*26=78, Resulting Numbers: [23, 78]
Generated Node #3: [23, 78] from Operation: 3*26=78
Current State: 55:[23, 78], Operations: ['46-20=26', '3*26=78']
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
29,
47,
24,
1
] | 41 | [
"47-29=18",
"24-1=23",
"18+23=41"
] | Current State: 41:[29, 47, 24, 1], Operations: []
Exploring Operation: 47-29=18, Resulting Numbers: [24, 1, 18]
Generated Node #2: [24, 1, 18] from Operation: 47-29=18
Current State: 41:[24, 1, 18], Operations: ['47-29=18']
Exploring Operation: 24-1=23, Resulting Numbers: [18, 23]
Generated Node #3: [18, 23] from Operation: 24-1=23
Current State: 41:[18, 23], Operations: ['47-29=18', '24-1=23']
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
92,
99,
2,
73
] | 68 | [
"99-92=7",
"2+73=75",
"75-7=68"
] | Current State: 68:[92, 99, 2, 73], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [2, 73, 7]
Generated Node #2: [2, 73, 7] from Operation: 99-92=7
Current State: 68:[2, 73, 7], Operations: ['99-92=7']
Exploring Operation: 2+73=75, Resulting Numbers: [7, 75]
Generated Node #3: [7, 75] from Operation: 2+73=75
Current State: 68:[7, 75], Operations: ['99-92=7', '2+73=75']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
51,
15,
90,
5
] | 23 | [
"51*5=255",
"90+255=345",
"345/15=23"
] | Current State: 23:[51, 15, 90, 5], Operations: []
Exploring Operation: 51*5=255, Resulting Numbers: [15, 90, 255]
Generated Node #2: [15, 90, 255] from Operation: 51*5=255
Current State: 23:[15, 90, 255], Operations: ['51*5=255']
Exploring Operation: 90+255=345, Resulting Numbers: [15, 345]
Generated Node #3: [15, 345] from Operation: 90+255=345
Current State: 23:[15, 345], Operations: ['51*5=255', '90+255=345']
Exploring Operation: 345/15=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
81,
23,
30,
4
] | 90 | [
"81*30=2430",
"23+4=27",
"2430/27=90"
] | Current State: 90:[81, 23, 30, 4], Operations: []
Exploring Operation: 81*30=2430, Resulting Numbers: [23, 4, 2430]
Generated Node #2: [23, 4, 2430] from Operation: 81*30=2430
Current State: 90:[23, 4, 2430], Operations: ['81*30=2430']
Exploring Operation: 23+4=27, Resulting Numbers: [2430, 27]
Generated Node #3: [2430, 27] from Operation: 23+4=27
Current State: 90:[2430, 27], Operations: ['81*30=2430', '23+4=27']
Exploring Operation: 2430/27=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
5,
31,
94,
88
] | 61 | [
"94-88=6",
"5*6=30",
"31+30=61"
] | Current State: 61:[5, 31, 94, 88], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [5, 31, 6]
Generated Node #2: [5, 31, 6] from Operation: 94-88=6
Current State: 61:[5, 31, 6], Operations: ['94-88=6']
Exploring Operation: 5*6=30, Resulting Numbers: [31, 30]
Generated Node #3: [31, 30] from Operation: 5*6=30
Current State: 61:[31, 30], Operations: ['94-88=6', '5*6=30']
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
91,
41,
7,
96
] | 93 | [
"41+7=48",
"96/48=2",
"91+2=93"
] | Current State: 93:[91, 41, 7, 96], Operations: []
Exploring Operation: 41+7=48, Resulting Numbers: [91, 96, 48]
Generated Node #2: [91, 96, 48] from Operation: 41+7=48
Current State: 93:[91, 96, 48], Operations: ['41+7=48']
Exploring Operation: 96/48=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 96/48=2
Current State: 93:[91, 2], Operations: ['41+7=48', '96/48=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
88,
71,
54,
5
] | 67 | [
"88*54=4752",
"5+4752=4757",
"4757/71=67"
] | Current State: 67:[88, 71, 54, 5], Operations: []
Exploring Operation: 88*54=4752, Resulting Numbers: [71, 5, 4752]
Generated Node #2: [71, 5, 4752] from Operation: 88*54=4752
Current State: 67:[71, 5, 4752], Operations: ['88*54=4752']
Exploring Operation: 5+4752=4757, Resulting Numbers: [71, 4757]
Generated Node #3: [71, 4757] from Operation: 5+4752=4757
Current State: 67:[71, 4757], Operations: ['88*54=4752', '5+4752=4757']
Exploring Operation: 4757/71=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
81,
11,
96,
98
] | 72 | [
"81-11=70",
"98-96=2",
"70+2=72"
] | Current State: 72:[81, 11, 96, 98], Operations: []
Exploring Operation: 81-11=70, Resulting Numbers: [96, 98, 70]
Generated Node #2: [96, 98, 70] from Operation: 81-11=70
Current State: 72:[96, 98, 70], Operations: ['81-11=70']
Exploring Operation: 98-96=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 98-96=2
Current State: 72:[70, 2], Operations: ['81-11=70', '98-96=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
31,
39,
17,
76
] | 83 | [
"31*39=1209",
"17*76=1292",
"1292-1209=83"
] | Current State: 83:[31, 39, 17, 76], Operations: []
Exploring Operation: 31*39=1209, Resulting Numbers: [17, 76, 1209]
Generated Node #2: [17, 76, 1209] from Operation: 31*39=1209
Current State: 83:[17, 76, 1209], Operations: ['31*39=1209']
Exploring Operation: 17*76=1292, Resulting Numbers: [1209, 1292]
Generated Node #3: [1209, 1292] from Operation: 17*76=1292
Current State: 83:[1209, 1292], Operations: ['31*39=1209', '17*76=1292']
Exploring Operation: 1292-1209=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
44,
56,
50,
75
] | 77 | [
"44+56=100",
"100/50=2",
"75+2=77"
] | Current State: 77:[44, 56, 50, 75], Operations: []
Exploring Operation: 44+56=100, Resulting Numbers: [50, 75, 100]
Generated Node #2: [50, 75, 100] from Operation: 44+56=100
Current State: 77:[50, 75, 100], Operations: ['44+56=100']
Exploring Operation: 100/50=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 100/50=2
Current State: 77:[75, 2], Operations: ['44+56=100', '100/50=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
30,
66,
6,
21
] | 90 | [
"66-30=36",
"6*21=126",
"126-36=90"
] | Current State: 90:[30, 66, 6, 21], Operations: []
Exploring Operation: 66-30=36, Resulting Numbers: [6, 21, 36]
Generated Node #2: [6, 21, 36] from Operation: 66-30=36
Current State: 90:[6, 21, 36], Operations: ['66-30=36']
Exploring Operation: 6*21=126, Resulting Numbers: [36, 126]
Generated Node #3: [36, 126] from Operation: 6*21=126
Current State: 90:[36, 126], Operations: ['66-30=36', '6*21=126']
Exploring Operation: 126-36=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
37,
33,
13,
71
] | 21 | [
"37-33=4",
"13+71=84",
"84/4=21"
] | Current State: 21:[37, 33, 13, 71], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [13, 71, 4]
Generated Node #2: [13, 71, 4] from Operation: 37-33=4
Current State: 21:[13, 71, 4], Operations: ['37-33=4']
Exploring Operation: 13+71=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 13+71=84
Current State: 21:[4, 84], Operations: ['37-33=4', '13+71=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
54,
5,
89,
32
] | 72 | [
"54-5=49",
"89+32=121",
"121-49=72"
] | Current State: 72:[54, 5, 89, 32], Operations: []
Exploring Operation: 54-5=49, Resulting Numbers: [89, 32, 49]
Generated Node #2: [89, 32, 49] from Operation: 54-5=49
Current State: 72:[89, 32, 49], Operations: ['54-5=49']
Exploring Operation: 89+32=121, Resulting Numbers: [49, 121]
Generated Node #3: [49, 121] from Operation: 89+32=121
Current State: 72:[49, 121], Operations: ['54-5=49', '89+32=121']
Exploring Operation: 121-49=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
77,
6,
63,
18
] | 94 | [
"77-63=14",
"6*18=108",
"108-14=94"
] | Current State: 94:[77, 6, 63, 18], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [6, 18, 14]
Generated Node #2: [6, 18, 14] from Operation: 77-63=14
Current State: 94:[6, 18, 14], Operations: ['77-63=14']
Exploring Operation: 6*18=108, Resulting Numbers: [14, 108]
Generated Node #3: [14, 108] from Operation: 6*18=108
Current State: 94:[14, 108], Operations: ['77-63=14', '6*18=108']
Exploring Operation: 108-14=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
38,
28,
85,
70
] | 89 | [
"38+28=66",
"85+70=155",
"155-66=89"
] | Current State: 89:[38, 28, 85, 70], Operations: []
Exploring Operation: 38+28=66, Resulting Numbers: [85, 70, 66]
Generated Node #2: [85, 70, 66] from Operation: 38+28=66
Current State: 89:[85, 70, 66], Operations: ['38+28=66']
Exploring Operation: 85+70=155, Resulting Numbers: [66, 155]
Generated Node #3: [66, 155] from Operation: 85+70=155
Current State: 89:[66, 155], Operations: ['38+28=66', '85+70=155']
Exploring Operation: 155-66=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
84,
18,
7,
61
] | 31 | [
"84/7=12",
"61-18=43",
"43-12=31"
] | Current State: 31:[84, 18, 7, 61], Operations: []
Exploring Operation: 84/7=12, Resulting Numbers: [18, 61, 12]
Generated Node #2: [18, 61, 12] from Operation: 84/7=12
Current State: 31:[18, 61, 12], Operations: ['84/7=12']
Exploring Operation: 61-18=43, Resulting Numbers: [12, 43]
Generated Node #3: [12, 43] from Operation: 61-18=43
Current State: 31:[12, 43], Operations: ['84/7=12', '61-18=43']
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
51,
14,
44,
82
] | 89 | [
"51-14=37",
"44+82=126",
"126-37=89"
] | Current State: 89:[51, 14, 44, 82], Operations: []
Exploring Operation: 51-14=37, Resulting Numbers: [44, 82, 37]
Generated Node #2: [44, 82, 37] from Operation: 51-14=37
Current State: 89:[44, 82, 37], Operations: ['51-14=37']
Exploring Operation: 44+82=126, Resulting Numbers: [37, 126]
Generated Node #3: [37, 126] from Operation: 44+82=126
Current State: 89:[37, 126], Operations: ['51-14=37', '44+82=126']
Exploring Operation: 126-37=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
93,
23,
7,
63
] | 53 | [
"93-23=70",
"70/7=10",
"63-10=53"
] | Current State: 53:[93, 23, 7, 63], Operations: []
Exploring Operation: 93-23=70, Resulting Numbers: [7, 63, 70]
Generated Node #2: [7, 63, 70] from Operation: 93-23=70
Current State: 53:[7, 63, 70], Operations: ['93-23=70']
Exploring Operation: 70/7=10, Resulting Numbers: [63, 10]
Generated Node #3: [63, 10] from Operation: 70/7=10
Current State: 53:[63, 10], Operations: ['93-23=70', '70/7=10']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
9,
18,
3,
22
] | 96 | [
"9*18=162",
"3*22=66",
"162-66=96"
] | Current State: 96:[9, 18, 3, 22], Operations: []
Exploring Operation: 9*18=162, Resulting Numbers: [3, 22, 162]
Generated Node #2: [3, 22, 162] from Operation: 9*18=162
Current State: 96:[3, 22, 162], Operations: ['9*18=162']
Exploring Operation: 3*22=66, Resulting Numbers: [162, 66]
Generated Node #3: [162, 66] from Operation: 3*22=66
Current State: 96:[162, 66], Operations: ['9*18=162', '3*22=66']
Exploring Operation: 162-66=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
22,
16,
3,
67
] | 32 | [
"22+16=38",
"3+67=70",
"70-38=32"
] | Current State: 32:[22, 16, 3, 67], Operations: []
Exploring Operation: 22+16=38, Resulting Numbers: [3, 67, 38]
Generated Node #2: [3, 67, 38] from Operation: 22+16=38
Current State: 32:[3, 67, 38], Operations: ['22+16=38']
Exploring Operation: 3+67=70, Resulting Numbers: [38, 70]
Generated Node #3: [38, 70] from Operation: 3+67=70
Current State: 32:[38, 70], Operations: ['22+16=38', '3+67=70']
Exploring Operation: 70-38=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
26,
3,
75,
87
] | 12 | [
"3*75=225",
"87+225=312",
"312/26=12"
] | Current State: 12:[26, 3, 75, 87], Operations: []
Exploring Operation: 3*75=225, Resulting Numbers: [26, 87, 225]
Generated Node #2: [26, 87, 225] from Operation: 3*75=225
Current State: 12:[26, 87, 225], Operations: ['3*75=225']
Exploring Operation: 87+225=312, Resulting Numbers: [26, 312]
Generated Node #3: [26, 312] from Operation: 87+225=312
Current State: 12:[26, 312], Operations: ['3*75=225', '87+225=312']
Exploring Operation: 312/26=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
45,
12,
19,
78
] | 81 | [
"45+12=57",
"57/19=3",
"78+3=81"
] | Current State: 81:[45, 12, 19, 78], Operations: []
Exploring Operation: 45+12=57, Resulting Numbers: [19, 78, 57]
Generated Node #2: [19, 78, 57] from Operation: 45+12=57
Current State: 81:[19, 78, 57], Operations: ['45+12=57']
Exploring Operation: 57/19=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 57/19=3
Current State: 81:[78, 3], Operations: ['45+12=57', '57/19=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
46,
82,
50,
45
] | 98 | [
"50-46=4",
"45*4=180",
"180-82=98"
] | Current State: 98:[46, 82, 50, 45], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [82, 45, 4]
Generated Node #2: [82, 45, 4] from Operation: 50-46=4
Current State: 98:[82, 45, 4], Operations: ['50-46=4']
Exploring Operation: 45*4=180, Resulting Numbers: [82, 180]
Generated Node #3: [82, 180] from Operation: 45*4=180
Current State: 98:[82, 180], Operations: ['50-46=4', '45*4=180']
Exploring Operation: 180-82=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
20,
88,
12,
64
] | 10 | [
"20*12=240",
"88-64=24",
"240/24=10"
] | Current State: 10:[20, 88, 12, 64], Operations: []
Exploring Operation: 20*12=240, Resulting Numbers: [88, 64, 240]
Generated Node #2: [88, 64, 240] from Operation: 20*12=240
Current State: 10:[88, 64, 240], Operations: ['20*12=240']
Exploring Operation: 88-64=24, Resulting Numbers: [240, 24]
Generated Node #3: [240, 24] from Operation: 88-64=24
Current State: 10:[240, 24], Operations: ['20*12=240', '88-64=24']
Exploring Operation: 240/24=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
48,
50,
15,
10
] | 77 | [
"48*15=720",
"50+720=770",
"770/10=77"
] | Current State: 77:[48, 50, 15, 10], Operations: []
Exploring Operation: 48*15=720, Resulting Numbers: [50, 10, 720]
Generated Node #2: [50, 10, 720] from Operation: 48*15=720
Current State: 77:[50, 10, 720], Operations: ['48*15=720']
Exploring Operation: 50+720=770, Resulting Numbers: [10, 770]
Generated Node #3: [10, 770] from Operation: 50+720=770
Current State: 77:[10, 770], Operations: ['48*15=720', '50+720=770']
Exploring Operation: 770/10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
36,
4,
50,
42
] | 60 | [
"36-4=32",
"50+42=92",
"92-32=60"
] | Current State: 60:[36, 4, 50, 42], Operations: []
Exploring Operation: 36-4=32, Resulting Numbers: [50, 42, 32]
Generated Node #2: [50, 42, 32] from Operation: 36-4=32
Current State: 60:[50, 42, 32], Operations: ['36-4=32']
Exploring Operation: 50+42=92, Resulting Numbers: [32, 92]
Generated Node #3: [32, 92] from Operation: 50+42=92
Current State: 60:[32, 92], Operations: ['36-4=32', '50+42=92']
Exploring Operation: 92-32=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
4,
94,
36,
5
] | 55 | [
"4*36=144",
"94-5=89",
"144-89=55"
] | Current State: 55:[4, 94, 36, 5], Operations: []
Exploring Operation: 4*36=144, Resulting Numbers: [94, 5, 144]
Generated Node #2: [94, 5, 144] from Operation: 4*36=144
Current State: 55:[94, 5, 144], Operations: ['4*36=144']
Exploring Operation: 94-5=89, Resulting Numbers: [144, 89]
Generated Node #3: [144, 89] from Operation: 94-5=89
Current State: 55:[144, 89], Operations: ['4*36=144', '94-5=89']
Exploring Operation: 144-89=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
25,
29,
34,
66
] | 28 | [
"29-25=4",
"66-34=32",
"32-4=28"
] | Current State: 28:[25, 29, 34, 66], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [34, 66, 4]
Generated Node #2: [34, 66, 4] from Operation: 29-25=4
Current State: 28:[34, 66, 4], Operations: ['29-25=4']
Exploring Operation: 66-34=32, Resulting Numbers: [4, 32]
Generated Node #3: [4, 32] from Operation: 66-34=32
Current State: 28:[4, 32], Operations: ['29-25=4', '66-34=32']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
62,
18,
65,
78
] | 32 | [
"65-62=3",
"18+78=96",
"96/3=32"
] | Current State: 32:[62, 18, 65, 78], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [18, 78, 3]
Generated Node #2: [18, 78, 3] from Operation: 65-62=3
Current State: 32:[18, 78, 3], Operations: ['65-62=3']
Exploring Operation: 18+78=96, Resulting Numbers: [3, 96]
Generated Node #3: [3, 96] from Operation: 18+78=96
Current State: 32:[3, 96], Operations: ['65-62=3', '18+78=96']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
83,
5,
32,
56
] | 21 | [
"83+56=139",
"5*32=160",
"160-139=21"
] | Current State: 21:[83, 5, 32, 56], Operations: []
Exploring Operation: 83+56=139, Resulting Numbers: [5, 32, 139]
Generated Node #2: [5, 32, 139] from Operation: 83+56=139
Current State: 21:[5, 32, 139], Operations: ['83+56=139']
Exploring Operation: 5*32=160, Resulting Numbers: [139, 160]
Generated Node #3: [139, 160] from Operation: 5*32=160
Current State: 21:[139, 160], Operations: ['83+56=139', '5*32=160']
Exploring Operation: 160-139=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
70,
26,
7,
23
] | 14 | [
"70-26=44",
"7+23=30",
"44-30=14"
] | Current State: 14:[70, 26, 7, 23], Operations: []
Exploring Operation: 70-26=44, Resulting Numbers: [7, 23, 44]
Generated Node #2: [7, 23, 44] from Operation: 70-26=44
Current State: 14:[7, 23, 44], Operations: ['70-26=44']
Exploring Operation: 7+23=30, Resulting Numbers: [44, 30]
Generated Node #3: [44, 30] from Operation: 7+23=30
Current State: 14:[44, 30], Operations: ['70-26=44', '7+23=30']
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
88,
85,
17,
77
] | 20 | [
"88-85=3",
"77-17=60",
"60/3=20"
] | Current State: 20:[88, 85, 17, 77], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [17, 77, 3]
Generated Node #2: [17, 77, 3] from Operation: 88-85=3
Current State: 20:[17, 77, 3], Operations: ['88-85=3']
Exploring Operation: 77-17=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 77-17=60
Current State: 20:[3, 60], Operations: ['88-85=3', '77-17=60']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
50,
7,
35,
84
] | 74 | [
"50*7=350",
"350/35=10",
"84-10=74"
] | Current State: 74:[50, 7, 35, 84], Operations: []
Exploring Operation: 50*7=350, Resulting Numbers: [35, 84, 350]
Generated Node #2: [35, 84, 350] from Operation: 50*7=350
Current State: 74:[35, 84, 350], Operations: ['50*7=350']
Exploring Operation: 350/35=10, Resulting Numbers: [84, 10]
Generated Node #3: [84, 10] from Operation: 350/35=10
Current State: 74:[84, 10], Operations: ['50*7=350', '350/35=10']
Exploring Operation: 84-10=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
39,
14,
40,
3
] | 35 | [
"39-14=25",
"3*25=75",
"75-40=35"
] | Current State: 35:[39, 14, 40, 3], Operations: []
Exploring Operation: 39-14=25, Resulting Numbers: [40, 3, 25]
Generated Node #2: [40, 3, 25] from Operation: 39-14=25
Current State: 35:[40, 3, 25], Operations: ['39-14=25']
Exploring Operation: 3*25=75, Resulting Numbers: [40, 75]
Generated Node #3: [40, 75] from Operation: 3*25=75
Current State: 35:[40, 75], Operations: ['39-14=25', '3*25=75']
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
17,
12,
56,
42
] | 43 | [
"17+12=29",
"56-42=14",
"29+14=43"
] | Current State: 43:[17, 12, 56, 42], Operations: []
Exploring Operation: 17+12=29, Resulting Numbers: [56, 42, 29]
Generated Node #2: [56, 42, 29] from Operation: 17+12=29
Current State: 43:[56, 42, 29], Operations: ['17+12=29']
Exploring Operation: 56-42=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 56-42=14
Current State: 43:[29, 14], Operations: ['17+12=29', '56-42=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
6,
25,
28,
24
] | 94 | [
"28-24=4",
"25*4=100",
"100-6=94"
] | Current State: 94:[6, 25, 28, 24], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [6, 25, 4]
Generated Node #2: [6, 25, 4] from Operation: 28-24=4
Current State: 94:[6, 25, 4], Operations: ['28-24=4']
Exploring Operation: 25*4=100, Resulting Numbers: [6, 100]
Generated Node #3: [6, 100] from Operation: 25*4=100
Current State: 94:[6, 100], Operations: ['28-24=4', '25*4=100']
Exploring Operation: 100-6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
56,
2,
95,
40
] | 38 | [
"95-56=39",
"2*39=78",
"78-40=38"
] | Current State: 38:[56, 2, 95, 40], Operations: []
Exploring Operation: 95-56=39, Resulting Numbers: [2, 40, 39]
Generated Node #2: [2, 40, 39] from Operation: 95-56=39
Current State: 38:[2, 40, 39], Operations: ['95-56=39']
Exploring Operation: 2*39=78, Resulting Numbers: [40, 78]
Generated Node #3: [40, 78] from Operation: 2*39=78
Current State: 38:[40, 78], Operations: ['95-56=39', '2*39=78']
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
39,
26,
33,
4
] | 18 | [
"26*33=858",
"858/39=22",
"22-4=18"
] | Current State: 18:[39, 26, 33, 4], Operations: []
Exploring Operation: 26*33=858, Resulting Numbers: [39, 4, 858]
Generated Node #2: [39, 4, 858] from Operation: 26*33=858
Current State: 18:[39, 4, 858], Operations: ['26*33=858']
Exploring Operation: 858/39=22, Resulting Numbers: [4, 22]
Generated Node #3: [4, 22] from Operation: 858/39=22
Current State: 18:[4, 22], Operations: ['26*33=858', '858/39=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
4,
63,
15,
61
] | 63 | [
"4*15=60",
"61-60=1",
"63*1=63"
] | Current State: 63:[4, 63, 15, 61], Operations: []
Exploring Operation: 4*15=60, Resulting Numbers: [63, 61, 60]
Generated Node #2: [63, 61, 60] from Operation: 4*15=60
Current State: 63:[63, 61, 60], Operations: ['4*15=60']
Exploring Operation: 61-60=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 61-60=1
Current State: 63:[63, 1], Operations: ['4*15=60', '61-60=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
3,
33,
54,
16
] | 35 | [
"54/3=18",
"33-16=17",
"18+17=35"
] | Current State: 35:[3, 33, 54, 16], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [33, 16, 18]
Generated Node #2: [33, 16, 18] from Operation: 54/3=18
Current State: 35:[33, 16, 18], Operations: ['54/3=18']
Exploring Operation: 33-16=17, Resulting Numbers: [18, 17]
Generated Node #3: [18, 17] from Operation: 33-16=17
Current State: 35:[18, 17], Operations: ['54/3=18', '33-16=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
19,
83,
75,
94
] | 45 | [
"83-19=64",
"94-75=19",
"64-19=45"
] | Current State: 45:[19, 83, 75, 94], Operations: []
Exploring Operation: 83-19=64, Resulting Numbers: [75, 94, 64]
Generated Node #2: [75, 94, 64] from Operation: 83-19=64
Current State: 45:[75, 94, 64], Operations: ['83-19=64']
Exploring Operation: 94-75=19, Resulting Numbers: [64, 19]
Generated Node #3: [64, 19] from Operation: 94-75=19
Current State: 45:[64, 19], Operations: ['83-19=64', '94-75=19']
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
67,
50,
14,
83
] | 11 | [
"67+83=150",
"150/50=3",
"14-3=11"
] | Current State: 11:[67, 50, 14, 83], Operations: []
Exploring Operation: 67+83=150, Resulting Numbers: [50, 14, 150]
Generated Node #2: [50, 14, 150] from Operation: 67+83=150
Current State: 11:[50, 14, 150], Operations: ['67+83=150']
Exploring Operation: 150/50=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 150/50=3
Current State: 11:[14, 3], Operations: ['67+83=150', '150/50=3']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
56,
68,
66,
36
] | 46 | [
"56+36=92",
"68-66=2",
"92/2=46"
] | Current State: 46:[56, 68, 66, 36], Operations: []
Exploring Operation: 56+36=92, Resulting Numbers: [68, 66, 92]
Generated Node #2: [68, 66, 92] from Operation: 56+36=92
Current State: 46:[68, 66, 92], Operations: ['56+36=92']
Exploring Operation: 68-66=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 68-66=2
Current State: 46:[92, 2], Operations: ['56+36=92', '68-66=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
93,
41,
73,
11
] | 72 | [
"93+41=134",
"73-11=62",
"134-62=72"
] | Current State: 72:[93, 41, 73, 11], Operations: []
Exploring Operation: 93+41=134, Resulting Numbers: [73, 11, 134]
Generated Node #2: [73, 11, 134] from Operation: 93+41=134
Current State: 72:[73, 11, 134], Operations: ['93+41=134']
Exploring Operation: 73-11=62, Resulting Numbers: [134, 62]
Generated Node #3: [134, 62] from Operation: 73-11=62
Current State: 72:[134, 62], Operations: ['93+41=134', '73-11=62']
Exploring Operation: 134-62=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
38,
78,
2,
18
] | 56 | [
"78-38=40",
"18-2=16",
"40+16=56"
] | Current State: 56:[38, 78, 2, 18], Operations: []
Exploring Operation: 78-38=40, Resulting Numbers: [2, 18, 40]
Generated Node #2: [2, 18, 40] from Operation: 78-38=40
Current State: 56:[2, 18, 40], Operations: ['78-38=40']
Exploring Operation: 18-2=16, Resulting Numbers: [40, 16]
Generated Node #3: [40, 16] from Operation: 18-2=16
Current State: 56:[40, 16], Operations: ['78-38=40', '18-2=16']
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
96,
9,
96,
83
] | 92 | [
"96+9=105",
"96-83=13",
"105-13=92"
] | Current State: 92:[96, 9, 96, 83], Operations: []
Exploring Operation: 96+9=105, Resulting Numbers: [83, 105]
Generated Node #2: [83, 105] from Operation: 96+9=105
Current State: 92:[83, 105], Operations: ['96+9=105']
Exploring Operation: 96-83=13, Resulting Numbers: [105, 13]
Generated Node #3: [105, 13] from Operation: 96-83=13
Current State: 92:[105, 13], Operations: ['96+9=105', '96-83=13']
Exploring Operation: 105-13=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
18,
41,
85,
38
] | 70 | [
"41-18=23",
"85-38=47",
"23+47=70"
] | Current State: 70:[18, 41, 85, 38], Operations: []
Exploring Operation: 41-18=23, Resulting Numbers: [85, 38, 23]
Generated Node #2: [85, 38, 23] from Operation: 41-18=23
Current State: 70:[85, 38, 23], Operations: ['41-18=23']
Exploring Operation: 85-38=47, Resulting Numbers: [23, 47]
Generated Node #3: [23, 47] from Operation: 85-38=47
Current State: 70:[23, 47], Operations: ['41-18=23', '85-38=47']
Exploring Operation: 23+47=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
8,
66,
70,
27
] | 76 | [
"27-8=19",
"70-66=4",
"19*4=76"
] | Current State: 76:[8, 66, 70, 27], Operations: []
Exploring Operation: 27-8=19, Resulting Numbers: [66, 70, 19]
Generated Node #2: [66, 70, 19] from Operation: 27-8=19
Current State: 76:[66, 70, 19], Operations: ['27-8=19']
Exploring Operation: 70-66=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 70-66=4
Current State: 76:[19, 4], Operations: ['27-8=19', '70-66=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
19,
65,
76,
14
] | 70 | [
"19+65=84",
"84/14=6",
"76-6=70"
] | Current State: 70:[19, 65, 76, 14], Operations: []
Exploring Operation: 19+65=84, Resulting Numbers: [76, 14, 84]
Generated Node #2: [76, 14, 84] from Operation: 19+65=84
Current State: 70:[76, 14, 84], Operations: ['19+65=84']
Exploring Operation: 84/14=6, Resulting Numbers: [76, 6]
Generated Node #3: [76, 6] from Operation: 84/14=6
Current State: 70:[76, 6], Operations: ['19+65=84', '84/14=6']
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
6,
76,
80,
79
] | 53 | [
"76+80=156",
"156/6=26",
"79-26=53"
] | Current State: 53:[6, 76, 80, 79], Operations: []
Exploring Operation: 76+80=156, Resulting Numbers: [6, 79, 156]
Generated Node #2: [6, 79, 156] from Operation: 76+80=156
Current State: 53:[6, 79, 156], Operations: ['76+80=156']
Exploring Operation: 156/6=26, Resulting Numbers: [79, 26]
Generated Node #3: [79, 26] from Operation: 156/6=26
Current State: 53:[79, 26], Operations: ['76+80=156', '156/6=26']
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
2,
62,
37,
89
] | 77 | [
"2*37=74",
"62+89=151",
"151-74=77"
] | Current State: 77:[2, 62, 37, 89], Operations: []
Exploring Operation: 2*37=74, Resulting Numbers: [62, 89, 74]
Generated Node #2: [62, 89, 74] from Operation: 2*37=74
Current State: 77:[62, 89, 74], Operations: ['2*37=74']
Exploring Operation: 62+89=151, Resulting Numbers: [74, 151]
Generated Node #3: [74, 151] from Operation: 62+89=151
Current State: 77:[74, 151], Operations: ['2*37=74', '62+89=151']
Exploring Operation: 151-74=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
42,
83,
19,
31
] | 75 | [
"42+83=125",
"19+31=50",
"125-50=75"
] | Current State: 75:[42, 83, 19, 31], Operations: []
Exploring Operation: 42+83=125, Resulting Numbers: [19, 31, 125]
Generated Node #2: [19, 31, 125] from Operation: 42+83=125
Current State: 75:[19, 31, 125], Operations: ['42+83=125']
Exploring Operation: 19+31=50, Resulting Numbers: [125, 50]
Generated Node #3: [125, 50] from Operation: 19+31=50
Current State: 75:[125, 50], Operations: ['42+83=125', '19+31=50']
Exploring Operation: 125-50=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
22,
28,
30,
19
] | 66 | [
"28-22=6",
"30-19=11",
"6*11=66"
] | Current State: 66:[22, 28, 30, 19], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [30, 19, 6]
Generated Node #2: [30, 19, 6] from Operation: 28-22=6
Current State: 66:[30, 19, 6], Operations: ['28-22=6']
Exploring Operation: 30-19=11, Resulting Numbers: [6, 11]
Generated Node #3: [6, 11] from Operation: 30-19=11
Current State: 66:[6, 11], Operations: ['28-22=6', '30-19=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
45,
77,
94,
85
] | 57 | [
"45+77=122",
"94+85=179",
"179-122=57"
] | Current State: 57:[45, 77, 94, 85], Operations: []
Exploring Operation: 45+77=122, Resulting Numbers: [94, 85, 122]
Generated Node #2: [94, 85, 122] from Operation: 45+77=122
Current State: 57:[94, 85, 122], Operations: ['45+77=122']
Exploring Operation: 94+85=179, Resulting Numbers: [122, 179]
Generated Node #3: [122, 179] from Operation: 94+85=179
Current State: 57:[122, 179], Operations: ['45+77=122', '94+85=179']
Exploring Operation: 179-122=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
77,
55,
11,
21
] | 12 | [
"77-55=22",
"21-11=10",
"22-10=12"
] | Current State: 12:[77, 55, 11, 21], Operations: []
Exploring Operation: 77-55=22, Resulting Numbers: [11, 21, 22]
Generated Node #2: [11, 21, 22] from Operation: 77-55=22
Current State: 12:[11, 21, 22], Operations: ['77-55=22']
Exploring Operation: 21-11=10, Resulting Numbers: [22, 10]
Generated Node #3: [22, 10] from Operation: 21-11=10
Current State: 12:[22, 10], Operations: ['77-55=22', '21-11=10']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
45,
2,
34,
8
] | 27 | [
"45-34=11",
"2*8=16",
"11+16=27"
] | Current State: 27:[45, 2, 34, 8], Operations: []
Exploring Operation: 45-34=11, Resulting Numbers: [2, 8, 11]
Generated Node #2: [2, 8, 11] from Operation: 45-34=11
Current State: 27:[2, 8, 11], Operations: ['45-34=11']
Exploring Operation: 2*8=16, Resulting Numbers: [11, 16]
Generated Node #3: [11, 16] from Operation: 2*8=16
Current State: 27:[11, 16], Operations: ['45-34=11', '2*8=16']
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
6,
31,
53,
71
] | 43 | [
"31-6=25",
"71-53=18",
"25+18=43"
] | Current State: 43:[6, 31, 53, 71], Operations: []
Exploring Operation: 31-6=25, Resulting Numbers: [53, 71, 25]
Generated Node #2: [53, 71, 25] from Operation: 31-6=25
Current State: 43:[53, 71, 25], Operations: ['31-6=25']
Exploring Operation: 71-53=18, Resulting Numbers: [25, 18]
Generated Node #3: [25, 18] from Operation: 71-53=18
Current State: 43:[25, 18], Operations: ['31-6=25', '71-53=18']
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
55,
21,
74,
57
] | 24 | [
"74-55=19",
"57/19=3",
"21+3=24"
] | Current State: 24:[55, 21, 74, 57], Operations: []
Exploring Operation: 74-55=19, Resulting Numbers: [21, 57, 19]
Generated Node #2: [21, 57, 19] from Operation: 74-55=19
Current State: 24:[21, 57, 19], Operations: ['74-55=19']
Exploring Operation: 57/19=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 57/19=3
Current State: 24:[21, 3], Operations: ['74-55=19', '57/19=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
11,
4,
13,
3
] | 54 | [
"11+4=15",
"13*3=39",
"15+39=54"
] | Current State: 54:[11, 4, 13, 3], Operations: []
Exploring Operation: 11+4=15, Resulting Numbers: [13, 3, 15]
Generated Node #2: [13, 3, 15] from Operation: 11+4=15
Current State: 54:[13, 3, 15], Operations: ['11+4=15']
Exploring Operation: 13*3=39, Resulting Numbers: [15, 39]
Generated Node #3: [15, 39] from Operation: 13*3=39
Current State: 54:[15, 39], Operations: ['11+4=15', '13*3=39']
Exploring Operation: 15+39=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
27,
64,
53,
79
] | 63 | [
"64-27=37",
"79-53=26",
"37+26=63"
] | Current State: 63:[27, 64, 53, 79], Operations: []
Exploring Operation: 64-27=37, Resulting Numbers: [53, 79, 37]
Generated Node #2: [53, 79, 37] from Operation: 64-27=37
Current State: 63:[53, 79, 37], Operations: ['64-27=37']
Exploring Operation: 79-53=26, Resulting Numbers: [37, 26]
Generated Node #3: [37, 26] from Operation: 79-53=26
Current State: 63:[37, 26], Operations: ['64-27=37', '79-53=26']
Exploring Operation: 37+26=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
2,
66,
60,
32
] | 86 | [
"2*60=120",
"66-32=34",
"120-34=86"
] | Current State: 86:[2, 66, 60, 32], Operations: []
Exploring Operation: 2*60=120, Resulting Numbers: [66, 32, 120]
Generated Node #2: [66, 32, 120] from Operation: 2*60=120
Current State: 86:[66, 32, 120], Operations: ['2*60=120']
Exploring Operation: 66-32=34, Resulting Numbers: [120, 34]
Generated Node #3: [120, 34] from Operation: 66-32=34
Current State: 86:[120, 34], Operations: ['2*60=120', '66-32=34']
Exploring Operation: 120-34=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
81,
72,
44,
53
] | 18 | [
"81-72=9",
"53-44=9",
"9+9=18"
] | Current State: 18:[81, 72, 44, 53], Operations: []
Exploring Operation: 81-72=9, Resulting Numbers: [44, 53, 9]
Generated Node #2: [44, 53, 9] from Operation: 81-72=9
Current State: 18:[44, 53, 9], Operations: ['81-72=9']
Exploring Operation: 53-44=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 53-44=9
Current State: 18:[9, 9], Operations: ['81-72=9', '53-44=9']
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
6,
60,
70,
94
] | 14 | [
"60/6=10",
"94-70=24",
"24-10=14"
] | Current State: 14:[6, 60, 70, 94], Operations: []
Exploring Operation: 60/6=10, Resulting Numbers: [70, 94, 10]
Generated Node #2: [70, 94, 10] from Operation: 60/6=10
Current State: 14:[70, 94, 10], Operations: ['60/6=10']
Exploring Operation: 94-70=24, Resulting Numbers: [10, 24]
Generated Node #3: [10, 24] from Operation: 94-70=24
Current State: 14:[10, 24], Operations: ['60/6=10', '94-70=24']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
85,
60,
51,
4
] | 96 | [
"85*60=5100",
"5100/51=100",
"100-4=96"
] | Current State: 96:[85, 60, 51, 4], Operations: []
Exploring Operation: 85*60=5100, Resulting Numbers: [51, 4, 5100]
Generated Node #2: [51, 4, 5100] from Operation: 85*60=5100
Current State: 96:[51, 4, 5100], Operations: ['85*60=5100']
Exploring Operation: 5100/51=100, Resulting Numbers: [4, 100]
Generated Node #3: [4, 100] from Operation: 5100/51=100
Current State: 96:[4, 100], Operations: ['85*60=5100', '5100/51=100']
Exploring Operation: 100-4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
6,
8,
69,
96
] | 59 | [
"96/6=16",
"8*16=128",
"128-69=59"
] | Current State: 59:[6, 8, 69, 96], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [8, 69, 16]
Generated Node #2: [8, 69, 16] from Operation: 96/6=16
Current State: 59:[8, 69, 16], Operations: ['96/6=16']
Exploring Operation: 8*16=128, Resulting Numbers: [69, 128]
Generated Node #3: [69, 128] from Operation: 8*16=128
Current State: 59:[69, 128], Operations: ['96/6=16', '8*16=128']
Exploring Operation: 128-69=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
34,
17,
32,
13
] | 29 | [
"34/17=2",
"32/2=16",
"13+16=29"
] | Current State: 29:[34, 17, 32, 13], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [32, 13, 2]
Generated Node #2: [32, 13, 2] from Operation: 34/17=2
Current State: 29:[32, 13, 2], Operations: ['34/17=2']
Exploring Operation: 32/2=16, Resulting Numbers: [13, 16]
Generated Node #3: [13, 16] from Operation: 32/2=16
Current State: 29:[13, 16], Operations: ['34/17=2', '32/2=16']
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
75,
60,
5,
37
] | 64 | [
"75+60=135",
"135/5=27",
"37+27=64"
] | Current State: 64:[75, 60, 5, 37], Operations: []
Exploring Operation: 75+60=135, Resulting Numbers: [5, 37, 135]
Generated Node #2: [5, 37, 135] from Operation: 75+60=135
Current State: 64:[5, 37, 135], Operations: ['75+60=135']
Exploring Operation: 135/5=27, Resulting Numbers: [37, 27]
Generated Node #3: [37, 27] from Operation: 135/5=27
Current State: 64:[37, 27], Operations: ['75+60=135', '135/5=27']
Exploring Operation: 37+27=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
8,
57,
28,
50
] | 71 | [
"57-8=49",
"50-28=22",
"49+22=71"
] | Current State: 71:[8, 57, 28, 50], Operations: []
Exploring Operation: 57-8=49, Resulting Numbers: [28, 50, 49]
Generated Node #2: [28, 50, 49] from Operation: 57-8=49
Current State: 71:[28, 50, 49], Operations: ['57-8=49']
Exploring Operation: 50-28=22, Resulting Numbers: [49, 22]
Generated Node #3: [49, 22] from Operation: 50-28=22
Current State: 71:[49, 22], Operations: ['57-8=49', '50-28=22']
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
1,
8,
8,
38
] | 54 | [
"1*8=8",
"8+38=46",
"8+46=54"
] | Current State: 54:[1, 8, 8, 38], Operations: []
Exploring Operation: 1*8=8, Resulting Numbers: [38, 8]
Generated Node #2: [38, 8] from Operation: 1*8=8
Current State: 54:[38, 8], Operations: ['1*8=8']
Exploring Operation: 8+38=46, Resulting Numbers: [46]
46,54 equal: Goal Reached
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
95,
82,
9,
93
] | 97 | [
"95-82=13",
"93-9=84",
"13+84=97"
] | Current State: 97:[95, 82, 9, 93], Operations: []
Exploring Operation: 95-82=13, Resulting Numbers: [9, 93, 13]
Generated Node #2: [9, 93, 13] from Operation: 95-82=13
Current State: 97:[9, 93, 13], Operations: ['95-82=13']
Exploring Operation: 93-9=84, Resulting Numbers: [13, 84]
Generated Node #3: [13, 84] from Operation: 93-9=84
Current State: 97:[13, 84], Operations: ['95-82=13', '93-9=84']
Exploring Operation: 13+84=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
83,
6,
74,
22
] | 99 | [
"74+22=96",
"96/6=16",
"83+16=99"
] | Current State: 99:[83, 6, 74, 22], Operations: []
Exploring Operation: 74+22=96, Resulting Numbers: [83, 6, 96]
Generated Node #2: [83, 6, 96] from Operation: 74+22=96
Current State: 99:[83, 6, 96], Operations: ['74+22=96']
Exploring Operation: 96/6=16, Resulting Numbers: [83, 16]
Generated Node #3: [83, 16] from Operation: 96/6=16
Current State: 99:[83, 16], Operations: ['74+22=96', '96/6=16']
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
83,
49,
13,
98
] | 72 | [
"83-13=70",
"98/49=2",
"70+2=72"
] | Current State: 72:[83, 49, 13, 98], Operations: []
Exploring Operation: 83-13=70, Resulting Numbers: [49, 98, 70]
Generated Node #2: [49, 98, 70] from Operation: 83-13=70
Current State: 72:[49, 98, 70], Operations: ['83-13=70']
Exploring Operation: 98/49=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 98/49=2
Current State: 72:[70, 2], Operations: ['83-13=70', '98/49=2']
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
16,
51,
43,
49
] | 35 | [
"51-49=2",
"16/2=8",
"43-8=35"
] | Current State: 35:[16, 51, 43, 49], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [16, 43, 2]
Generated Node #2: [16, 43, 2] from Operation: 51-49=2
Current State: 35:[16, 43, 2], Operations: ['51-49=2']
Exploring Operation: 16/2=8, Resulting Numbers: [43, 8]
Generated Node #3: [43, 8] from Operation: 16/2=8
Current State: 35:[43, 8], Operations: ['51-49=2', '16/2=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
25,
61,
75,
60
] | 45 | [
"61-25=36",
"75*36=2700",
"2700/60=45"
] | Current State: 45:[25, 61, 75, 60], Operations: []
Exploring Operation: 61-25=36, Resulting Numbers: [75, 60, 36]
Generated Node #2: [75, 60, 36] from Operation: 61-25=36
Current State: 45:[75, 60, 36], Operations: ['61-25=36']
Exploring Operation: 75*36=2700, Resulting Numbers: [60, 2700]
Generated Node #3: [60, 2700] from Operation: 75*36=2700
Current State: 45:[60, 2700], Operations: ['61-25=36', '75*36=2700']
Exploring Operation: 2700/60=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
57,
3,
38,
48
] | 50 | [
"57+3=60",
"48-38=10",
"60-10=50"
] | Current State: 50:[57, 3, 38, 48], Operations: []
Exploring Operation: 57+3=60, Resulting Numbers: [38, 48, 60]
Generated Node #2: [38, 48, 60] from Operation: 57+3=60
Current State: 50:[38, 48, 60], Operations: ['57+3=60']
Exploring Operation: 48-38=10, Resulting Numbers: [60, 10]
Generated Node #3: [60, 10] from Operation: 48-38=10
Current State: 50:[60, 10], Operations: ['57+3=60', '48-38=10']
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
52,
37,
12,
20
] | 25 | [
"52-37=15",
"20*15=300",
"300/12=25"
] | Current State: 25:[52, 37, 12, 20], Operations: []
Exploring Operation: 52-37=15, Resulting Numbers: [12, 20, 15]
Generated Node #2: [12, 20, 15] from Operation: 52-37=15
Current State: 25:[12, 20, 15], Operations: ['52-37=15']
Exploring Operation: 20*15=300, Resulting Numbers: [12, 300]
Generated Node #3: [12, 300] from Operation: 20*15=300
Current State: 25:[12, 300], Operations: ['52-37=15', '20*15=300']
Exploring Operation: 300/12=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
14,
26,
38,
82
] | 56 | [
"26-14=12",
"82-38=44",
"12+44=56"
] | Current State: 56:[14, 26, 38, 82], Operations: []
Exploring Operation: 26-14=12, Resulting Numbers: [38, 82, 12]
Generated Node #2: [38, 82, 12] from Operation: 26-14=12
Current State: 56:[38, 82, 12], Operations: ['26-14=12']
Exploring Operation: 82-38=44, Resulting Numbers: [12, 44]
Generated Node #3: [12, 44] from Operation: 82-38=44
Current State: 56:[12, 44], Operations: ['26-14=12', '82-38=44']
Exploring Operation: 12+44=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
39,
5,
83,
8
] | 72 | [
"39-8=31",
"5*31=155",
"155-83=72"
] | Current State: 72:[39, 5, 83, 8], Operations: []
Exploring Operation: 39-8=31, Resulting Numbers: [5, 83, 31]
Generated Node #2: [5, 83, 31] from Operation: 39-8=31
Current State: 72:[5, 83, 31], Operations: ['39-8=31']
Exploring Operation: 5*31=155, Resulting Numbers: [83, 155]
Generated Node #3: [83, 155] from Operation: 5*31=155
Current State: 72:[83, 155], Operations: ['39-8=31', '5*31=155']
Exploring Operation: 155-83=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
79,
68,
79,
95
] | 27 | [
"79+68=147",
"79+95=174",
"174-147=27"
] | Current State: 27:[79, 68, 79, 95], Operations: []
Exploring Operation: 79+68=147, Resulting Numbers: [95, 147]
Generated Node #2: [95, 147] from Operation: 79+68=147
Current State: 27:[95, 147], Operations: ['79+68=147']
Exploring Operation: 79+95=174, Resulting Numbers: [147, 174]
Generated Node #3: [147, 174] from Operation: 79+95=174
Current State: 27:[147, 174], Operations: ['79+68=147', '79+95=174']
Exploring Operation: 174-147=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
27,
4,
36,
66
] | 93 | [
"66-36=30",
"4*30=120",
"120-27=93"
] | Current State: 93:[27, 4, 36, 66], Operations: []
Exploring Operation: 66-36=30, Resulting Numbers: [27, 4, 30]
Generated Node #2: [27, 4, 30] from Operation: 66-36=30
Current State: 93:[27, 4, 30], Operations: ['66-36=30']
Exploring Operation: 4*30=120, Resulting Numbers: [27, 120]
Generated Node #3: [27, 120] from Operation: 4*30=120
Current State: 93:[27, 120], Operations: ['66-36=30', '4*30=120']
Exploring Operation: 120-27=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
26,
57,
36,
30
] | 87 | [
"30-26=4",
"36*4=144",
"144-57=87"
] | Current State: 87:[26, 57, 36, 30], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [57, 36, 4]
Generated Node #2: [57, 36, 4] from Operation: 30-26=4
Current State: 87:[57, 36, 4], Operations: ['30-26=4']
Exploring Operation: 36*4=144, Resulting Numbers: [57, 144]
Generated Node #3: [57, 144] from Operation: 36*4=144
Current State: 87:[57, 144], Operations: ['30-26=4', '36*4=144']
Exploring Operation: 144-57=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
77,
75,
24,
62
] | 84 | [
"77-75=2",
"24+62=86",
"86-2=84"
] | Current State: 84:[77, 75, 24, 62], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [24, 62, 2]
Generated Node #2: [24, 62, 2] from Operation: 77-75=2
Current State: 84:[24, 62, 2], Operations: ['77-75=2']
Exploring Operation: 24+62=86, Resulting Numbers: [2, 86]
Generated Node #3: [2, 86] from Operation: 24+62=86
Current State: 84:[2, 86], Operations: ['77-75=2', '24+62=86']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
48,
29,
7,
3
] | 91 | [
"48/3=16",
"29-16=13",
"7*13=91"
] | Current State: 91:[48, 29, 7, 3], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [29, 7, 16]
Generated Node #2: [29, 7, 16] from Operation: 48/3=16
Current State: 91:[29, 7, 16], Operations: ['48/3=16']
Exploring Operation: 29-16=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 29-16=13
Current State: 91:[7, 13], Operations: ['48/3=16', '29-16=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
16,
29,
43,
11
] | 58 | [
"43-11=32",
"32/16=2",
"29*2=58"
] | Current State: 58:[16, 29, 43, 11], Operations: []
Exploring Operation: 43-11=32, Resulting Numbers: [16, 29, 32]
Generated Node #2: [16, 29, 32] from Operation: 43-11=32
Current State: 58:[16, 29, 32], Operations: ['43-11=32']
Exploring Operation: 32/16=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 32/16=2
Current State: 58:[29, 2], Operations: ['43-11=32', '32/16=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
47,
48,
6,
52
] | 58 | [
"48-47=1",
"6+52=58",
"1*58=58"
] | Current State: 58:[47, 48, 6, 52], Operations: []
Exploring Operation: 48-47=1, Resulting Numbers: [6, 52, 1]
Generated Node #2: [6, 52, 1] from Operation: 48-47=1
Current State: 58:[6, 52, 1], Operations: ['48-47=1']
Exploring Operation: 6+52=58, Resulting Numbers: [1, 58]
Generated Node #3: [1, 58] from Operation: 6+52=58
Current State: 58:[1, 58], Operations: ['48-47=1', '6+52=58']
Exploring Operation: 1*58=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
8,
13,
95,
45
] | 29 | [
"8+13=21",
"95-45=50",
"50-21=29"
] | Current State: 29:[8, 13, 95, 45], Operations: []
Exploring Operation: 8+13=21, Resulting Numbers: [95, 45, 21]
Generated Node #2: [95, 45, 21] from Operation: 8+13=21
Current State: 29:[95, 45, 21], Operations: ['8+13=21']
Exploring Operation: 95-45=50, Resulting Numbers: [21, 50]
Generated Node #3: [21, 50] from Operation: 95-45=50
Current State: 29:[21, 50], Operations: ['8+13=21', '95-45=50']
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
56,
64,
47,
81
] | 16 | [
"64-56=8",
"47+81=128",
"128/8=16"
] | Current State: 16:[56, 64, 47, 81], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [47, 81, 8]
Generated Node #2: [47, 81, 8] from Operation: 64-56=8
Current State: 16:[47, 81, 8], Operations: ['64-56=8']
Exploring Operation: 47+81=128, Resulting Numbers: [8, 128]
Generated Node #3: [8, 128] from Operation: 47+81=128
Current State: 16:[8, 128], Operations: ['64-56=8', '47+81=128']
Exploring Operation: 128/8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
18,
85,
50,
52
] | 94 | [
"52-50=2",
"18/2=9",
"85+9=94"
] | Current State: 94:[18, 85, 50, 52], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [18, 85, 2]
Generated Node #2: [18, 85, 2] from Operation: 52-50=2
Current State: 94:[18, 85, 2], Operations: ['52-50=2']
Exploring Operation: 18/2=9, Resulting Numbers: [85, 9]
Generated Node #3: [85, 9] from Operation: 18/2=9
Current State: 94:[85, 9], Operations: ['52-50=2', '18/2=9']
Exploring Operation: 85+9=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
71,
55,
80,
3
] | 49 | [
"71+55=126",
"80-3=77",
"126-77=49"
] | Current State: 49:[71, 55, 80, 3], Operations: []
Exploring Operation: 71+55=126, Resulting Numbers: [80, 3, 126]
Generated Node #2: [80, 3, 126] from Operation: 71+55=126
Current State: 49:[80, 3, 126], Operations: ['71+55=126']
Exploring Operation: 80-3=77, Resulting Numbers: [126, 77]
Generated Node #3: [126, 77] from Operation: 80-3=77
Current State: 49:[126, 77], Operations: ['71+55=126', '80-3=77']
Exploring Operation: 126-77=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
51,
62,
48,
18
] | 77 | [
"62-51=11",
"48+18=66",
"11+66=77"
] | Current State: 77:[51, 62, 48, 18], Operations: []
Exploring Operation: 62-51=11, Resulting Numbers: [48, 18, 11]
Generated Node #2: [48, 18, 11] from Operation: 62-51=11
Current State: 77:[48, 18, 11], Operations: ['62-51=11']
Exploring Operation: 48+18=66, Resulting Numbers: [11, 66]
Generated Node #3: [11, 66] from Operation: 48+18=66
Current State: 77:[11, 66], Operations: ['62-51=11', '48+18=66']
Exploring Operation: 11+66=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
64,
91,
56,
30
] | 59 | [
"91-64=27",
"56+30=86",
"86-27=59"
] | Current State: 59:[64, 91, 56, 30], Operations: []
Exploring Operation: 91-64=27, Resulting Numbers: [56, 30, 27]
Generated Node #2: [56, 30, 27] from Operation: 91-64=27
Current State: 59:[56, 30, 27], Operations: ['91-64=27']
Exploring Operation: 56+30=86, Resulting Numbers: [27, 86]
Generated Node #3: [27, 86] from Operation: 56+30=86
Current State: 59:[27, 86], Operations: ['91-64=27', '56+30=86']
Exploring Operation: 86-27=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
48,
55,
72,
96
] | 17 | [
"55-48=7",
"96-72=24",
"24-7=17"
] | Current State: 17:[48, 55, 72, 96], Operations: []
Exploring Operation: 55-48=7, Resulting Numbers: [72, 96, 7]
Generated Node #2: [72, 96, 7] from Operation: 55-48=7
Current State: 17:[72, 96, 7], Operations: ['55-48=7']
Exploring Operation: 96-72=24, Resulting Numbers: [7, 24]
Generated Node #3: [7, 24] from Operation: 96-72=24
Current State: 17:[7, 24], Operations: ['55-48=7', '96-72=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
97,
86,
77,
55
] | 11 | [
"97-86=11",
"77-55=22",
"22-11=11"
] | Current State: 11:[97, 86, 77, 55], Operations: []
Exploring Operation: 97-86=11, Resulting Numbers: [77, 55, 11]
Generated Node #2: [77, 55, 11] from Operation: 97-86=11
Current State: 11:[77, 55, 11], Operations: ['97-86=11']
Exploring Operation: 77-55=22, Resulting Numbers: [11, 22]
Generated Node #3: [11, 22] from Operation: 77-55=22
Current State: 11:[11, 22], Operations: ['97-86=11', '77-55=22']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
69,
68,
61,
47
] | 91 | [
"69*61=4209",
"68+4209=4277",
"4277/47=91"
] | Current State: 91:[69, 68, 61, 47], Operations: []
Exploring Operation: 69*61=4209, Resulting Numbers: [68, 47, 4209]
Generated Node #2: [68, 47, 4209] from Operation: 69*61=4209
Current State: 91:[68, 47, 4209], Operations: ['69*61=4209']
Exploring Operation: 68+4209=4277, Resulting Numbers: [47, 4277]
Generated Node #3: [47, 4277] from Operation: 68+4209=4277
Current State: 91:[47, 4277], Operations: ['69*61=4209', '68+4209=4277']
Exploring Operation: 4277/47=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
31,
55,
48,
63
] | 25 | [
"31+55=86",
"48+63=111",
"111-86=25"
] | Current State: 25:[31, 55, 48, 63], Operations: []
Exploring Operation: 31+55=86, Resulting Numbers: [48, 63, 86]
Generated Node #2: [48, 63, 86] from Operation: 31+55=86
Current State: 25:[48, 63, 86], Operations: ['31+55=86']
Exploring Operation: 48+63=111, Resulting Numbers: [86, 111]
Generated Node #3: [86, 111] from Operation: 48+63=111
Current State: 25:[86, 111], Operations: ['31+55=86', '48+63=111']
Exploring Operation: 111-86=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
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