nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
29,
81,
95,
67
] | 52 | [
"29+81=110",
"95+67=162",
"162-110=52"
] | Current State: 52:[29, 81, 95, 67], Operations: []
Exploring Operation: 29+81=110, Resulting Numbers: [95, 67, 110]
Generated Node #2: [95, 67, 110] from Operation: 29+81=110
Current State: 52:[95, 67, 110], Operations: ['29+81=110']
Exploring Operation: 95+67=162, Resulting Numbers: [110, 162]
Generated Node #3: [110, 162] from Operation: 95+67=162
Current State: 52:[110, 162], Operations: ['29+81=110', '95+67=162']
Exploring Operation: 162-110=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
44,
15,
89,
47
] | 12 | [
"44+89=133",
"47+133=180",
"180/15=12"
] | Current State: 12:[44, 15, 89, 47], Operations: []
Exploring Operation: 44+89=133, Resulting Numbers: [15, 47, 133]
Generated Node #2: [15, 47, 133] from Operation: 44+89=133
Current State: 12:[15, 47, 133], Operations: ['44+89=133']
Exploring Operation: 47+133=180, Resulting Numbers: [15, 180]
Generated Node #3: [15, 180] from Operation: 47+133=180
Current State: 12:[15, 180], Operations: ['44+89=133', '47+133=180']
Exploring Operation: 180/15=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
72,
12,
13,
33
] | 52 | [
"72/12=6",
"13+33=46",
"6+46=52"
] | Current State: 52:[72, 12, 13, 33], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [13, 33, 6]
Generated Node #2: [13, 33, 6] from Operation: 72/12=6
Current State: 52:[13, 33, 6], Operations: ['72/12=6']
Exploring Operation: 13+33=46, Resulting Numbers: [6, 46]
Generated Node #3: [6, 46] from Operation: 13+33=46
Current State: 52:[6, 46], Operations: ['72/12=6', '13+33=46']
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
60,
40,
43,
5
] | 63 | [
"60+40=100",
"100/5=20",
"43+20=63"
] | Current State: 63:[60, 40, 43, 5], Operations: []
Exploring Operation: 60+40=100, Resulting Numbers: [43, 5, 100]
Generated Node #2: [43, 5, 100] from Operation: 60+40=100
Current State: 63:[43, 5, 100], Operations: ['60+40=100']
Exploring Operation: 100/5=20, Resulting Numbers: [43, 20]
Generated Node #3: [43, 20] from Operation: 100/5=20
Current State: 63:[43, 20], Operations: ['60+40=100', '100/5=20']
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
70,
8,
44,
10
] | 92 | [
"10-8=2",
"44/2=22",
"70+22=92"
] | Current State: 92:[70, 8, 44, 10], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [70, 44, 2]
Generated Node #2: [70, 44, 2] from Operation: 10-8=2
Current State: 92:[70, 44, 2], Operations: ['10-8=2']
Exploring Operation: 44/2=22, Resulting Numbers: [70, 22]
Generated Node #3: [70, 22] from Operation: 44/2=22
Current State: 92:[70, 22], Operations: ['10-8=2', '44/2=22']
Exploring Operation: 70+22=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
2,
23,
76,
71
] | 35 | [
"76-23=53",
"2*53=106",
"106-71=35"
] | Current State: 35:[2, 23, 76, 71], Operations: []
Exploring Operation: 76-23=53, Resulting Numbers: [2, 71, 53]
Generated Node #2: [2, 71, 53] from Operation: 76-23=53
Current State: 35:[2, 71, 53], Operations: ['76-23=53']
Exploring Operation: 2*53=106, Resulting Numbers: [71, 106]
Generated Node #3: [71, 106] from Operation: 2*53=106
Current State: 35:[71, 106], Operations: ['76-23=53', '2*53=106']
Exploring Operation: 106-71=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
70,
74,
11,
41
] | 48 | [
"74-70=4",
"11+41=52",
"52-4=48"
] | Current State: 48:[70, 74, 11, 41], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [11, 41, 4]
Generated Node #2: [11, 41, 4] from Operation: 74-70=4
Current State: 48:[11, 41, 4], Operations: ['74-70=4']
Exploring Operation: 11+41=52, Resulting Numbers: [4, 52]
Generated Node #3: [4, 52] from Operation: 11+41=52
Current State: 48:[4, 52], Operations: ['74-70=4', '11+41=52']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
82,
1,
10,
30
] | 78 | [
"82-1=81",
"30/10=3",
"81-3=78"
] | Current State: 78:[82, 1, 10, 30], Operations: []
Exploring Operation: 82-1=81, Resulting Numbers: [10, 30, 81]
Generated Node #2: [10, 30, 81] from Operation: 82-1=81
Current State: 78:[10, 30, 81], Operations: ['82-1=81']
Exploring Operation: 30/10=3, Resulting Numbers: [81, 3]
Generated Node #3: [81, 3] from Operation: 30/10=3
Current State: 78:[81, 3], Operations: ['82-1=81', '30/10=3']
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
67,
7,
22,
70
] | 12 | [
"67-7=60",
"70-22=48",
"60-48=12"
] | Current State: 12:[67, 7, 22, 70], Operations: []
Exploring Operation: 67-7=60, Resulting Numbers: [22, 70, 60]
Generated Node #2: [22, 70, 60] from Operation: 67-7=60
Current State: 12:[22, 70, 60], Operations: ['67-7=60']
Exploring Operation: 70-22=48, Resulting Numbers: [60, 48]
Generated Node #3: [60, 48] from Operation: 70-22=48
Current State: 12:[60, 48], Operations: ['67-7=60', '70-22=48']
Exploring Operation: 60-48=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
45,
54,
29,
36
] | 92 | [
"45+54=99",
"36-29=7",
"99-7=92"
] | Current State: 92:[45, 54, 29, 36], Operations: []
Exploring Operation: 45+54=99, Resulting Numbers: [29, 36, 99]
Generated Node #2: [29, 36, 99] from Operation: 45+54=99
Current State: 92:[29, 36, 99], Operations: ['45+54=99']
Exploring Operation: 36-29=7, Resulting Numbers: [99, 7]
Generated Node #3: [99, 7] from Operation: 36-29=7
Current State: 92:[99, 7], Operations: ['45+54=99', '36-29=7']
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
54,
47,
82,
12
] | 87 | [
"54-47=7",
"82+12=94",
"94-7=87"
] | Current State: 87:[54, 47, 82, 12], Operations: []
Exploring Operation: 54-47=7, Resulting Numbers: [82, 12, 7]
Generated Node #2: [82, 12, 7] from Operation: 54-47=7
Current State: 87:[82, 12, 7], Operations: ['54-47=7']
Exploring Operation: 82+12=94, Resulting Numbers: [7, 94]
Generated Node #3: [7, 94] from Operation: 82+12=94
Current State: 87:[7, 94], Operations: ['54-47=7', '82+12=94']
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
13,
94,
15,
97
] | 25 | [
"13+94=107",
"97-15=82",
"107-82=25"
] | Current State: 25:[13, 94, 15, 97], Operations: []
Exploring Operation: 13+94=107, Resulting Numbers: [15, 97, 107]
Generated Node #2: [15, 97, 107] from Operation: 13+94=107
Current State: 25:[15, 97, 107], Operations: ['13+94=107']
Exploring Operation: 97-15=82, Resulting Numbers: [107, 82]
Generated Node #3: [107, 82] from Operation: 97-15=82
Current State: 25:[107, 82], Operations: ['13+94=107', '97-15=82']
Exploring Operation: 107-82=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
81,
5,
88,
87
] | 77 | [
"81-5=76",
"88-87=1",
"76+1=77"
] | Current State: 77:[81, 5, 88, 87], Operations: []
Exploring Operation: 81-5=76, Resulting Numbers: [88, 87, 76]
Generated Node #2: [88, 87, 76] from Operation: 81-5=76
Current State: 77:[88, 87, 76], Operations: ['81-5=76']
Exploring Operation: 88-87=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 88-87=1
Current State: 77:[76, 1], Operations: ['81-5=76', '88-87=1']
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
36,
7,
51,
19
] | 68 | [
"36-19=17",
"7*17=119",
"119-51=68"
] | Current State: 68:[36, 7, 51, 19], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [7, 51, 17]
Generated Node #2: [7, 51, 17] from Operation: 36-19=17
Current State: 68:[7, 51, 17], Operations: ['36-19=17']
Exploring Operation: 7*17=119, Resulting Numbers: [51, 119]
Generated Node #3: [51, 119] from Operation: 7*17=119
Current State: 68:[51, 119], Operations: ['36-19=17', '7*17=119']
Exploring Operation: 119-51=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
30,
21,
51,
99
] | 62 | [
"30-21=9",
"99/9=11",
"51+11=62"
] | Current State: 62:[30, 21, 51, 99], Operations: []
Exploring Operation: 30-21=9, Resulting Numbers: [51, 99, 9]
Generated Node #2: [51, 99, 9] from Operation: 30-21=9
Current State: 62:[51, 99, 9], Operations: ['30-21=9']
Exploring Operation: 99/9=11, Resulting Numbers: [51, 11]
Generated Node #3: [51, 11] from Operation: 99/9=11
Current State: 62:[51, 11], Operations: ['30-21=9', '99/9=11']
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
56,
85,
99,
54
] | 96 | [
"56+85=141",
"99-54=45",
"141-45=96"
] | Current State: 96:[56, 85, 99, 54], Operations: []
Exploring Operation: 56+85=141, Resulting Numbers: [99, 54, 141]
Generated Node #2: [99, 54, 141] from Operation: 56+85=141
Current State: 96:[99, 54, 141], Operations: ['56+85=141']
Exploring Operation: 99-54=45, Resulting Numbers: [141, 45]
Generated Node #3: [141, 45] from Operation: 99-54=45
Current State: 96:[141, 45], Operations: ['56+85=141', '99-54=45']
Exploring Operation: 141-45=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
35,
55,
36,
39
] | 60 | [
"55-35=20",
"39-36=3",
"20*3=60"
] | Current State: 60:[35, 55, 36, 39], Operations: []
Exploring Operation: 55-35=20, Resulting Numbers: [36, 39, 20]
Generated Node #2: [36, 39, 20] from Operation: 55-35=20
Current State: 60:[36, 39, 20], Operations: ['55-35=20']
Exploring Operation: 39-36=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 39-36=3
Current State: 60:[20, 3], Operations: ['55-35=20', '39-36=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
84,
40,
80,
78
] | 20 | [
"84-78=6",
"40+80=120",
"120/6=20"
] | Current State: 20:[84, 40, 80, 78], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [40, 80, 6]
Generated Node #2: [40, 80, 6] from Operation: 84-78=6
Current State: 20:[40, 80, 6], Operations: ['84-78=6']
Exploring Operation: 40+80=120, Resulting Numbers: [6, 120]
Generated Node #3: [6, 120] from Operation: 40+80=120
Current State: 20:[6, 120], Operations: ['84-78=6', '40+80=120']
Exploring Operation: 120/6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
95,
47,
13,
5
] | 53 | [
"95/5=19",
"47-13=34",
"19+34=53"
] | Current State: 53:[95, 47, 13, 5], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [47, 13, 19]
Generated Node #2: [47, 13, 19] from Operation: 95/5=19
Current State: 53:[47, 13, 19], Operations: ['95/5=19']
Exploring Operation: 47-13=34, Resulting Numbers: [19, 34]
Generated Node #3: [19, 34] from Operation: 47-13=34
Current State: 53:[19, 34], Operations: ['95/5=19', '47-13=34']
Exploring Operation: 19+34=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
81,
85,
70,
76
] | 61 | [
"85-76=9",
"81/9=9",
"70-9=61"
] | Current State: 61:[81, 85, 70, 76], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [81, 70, 9]
Generated Node #2: [81, 70, 9] from Operation: 85-76=9
Current State: 61:[81, 70, 9], Operations: ['85-76=9']
Exploring Operation: 81/9=9, Resulting Numbers: [70, 9]
Generated Node #3: [70, 9] from Operation: 81/9=9
Current State: 61:[70, 9], Operations: ['85-76=9', '81/9=9']
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
28,
77,
48,
36
] | 74 | [
"48+36=84",
"84/28=3",
"77-3=74"
] | Current State: 74:[28, 77, 48, 36], Operations: []
Exploring Operation: 48+36=84, Resulting Numbers: [28, 77, 84]
Generated Node #2: [28, 77, 84] from Operation: 48+36=84
Current State: 74:[28, 77, 84], Operations: ['48+36=84']
Exploring Operation: 84/28=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 84/28=3
Current State: 74:[77, 3], Operations: ['48+36=84', '84/28=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
31,
54,
33,
57
] | 67 | [
"54-31=23",
"33+57=90",
"90-23=67"
] | Current State: 67:[31, 54, 33, 57], Operations: []
Exploring Operation: 54-31=23, Resulting Numbers: [33, 57, 23]
Generated Node #2: [33, 57, 23] from Operation: 54-31=23
Current State: 67:[33, 57, 23], Operations: ['54-31=23']
Exploring Operation: 33+57=90, Resulting Numbers: [23, 90]
Generated Node #3: [23, 90] from Operation: 33+57=90
Current State: 67:[23, 90], Operations: ['54-31=23', '33+57=90']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
16,
63,
65,
48
] | 34 | [
"16+63=79",
"65+48=113",
"113-79=34"
] | Current State: 34:[16, 63, 65, 48], Operations: []
Exploring Operation: 16+63=79, Resulting Numbers: [65, 48, 79]
Generated Node #2: [65, 48, 79] from Operation: 16+63=79
Current State: 34:[65, 48, 79], Operations: ['16+63=79']
Exploring Operation: 65+48=113, Resulting Numbers: [79, 113]
Generated Node #3: [79, 113] from Operation: 65+48=113
Current State: 34:[79, 113], Operations: ['16+63=79', '65+48=113']
Exploring Operation: 113-79=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
38,
8,
34,
87
] | 83 | [
"38-8=30",
"87-34=53",
"30+53=83"
] | Current State: 83:[38, 8, 34, 87], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [34, 87, 30]
Generated Node #2: [34, 87, 30] from Operation: 38-8=30
Current State: 83:[34, 87, 30], Operations: ['38-8=30']
Exploring Operation: 87-34=53, Resulting Numbers: [30, 53]
Generated Node #3: [30, 53] from Operation: 87-34=53
Current State: 83:[30, 53], Operations: ['38-8=30', '87-34=53']
Exploring Operation: 30+53=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
82,
84,
83,
23
] | 61 | [
"83-82=1",
"84-23=61",
"1*61=61"
] | Current State: 61:[82, 84, 83, 23], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [84, 23, 1]
Generated Node #2: [84, 23, 1] from Operation: 83-82=1
Current State: 61:[84, 23, 1], Operations: ['83-82=1']
Exploring Operation: 84-23=61, Resulting Numbers: [1, 61]
Generated Node #3: [1, 61] from Operation: 84-23=61
Current State: 61:[1, 61], Operations: ['83-82=1', '84-23=61']
Exploring Operation: 1*61=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
3,
24,
96,
86
] | 17 | [
"3+24=27",
"96-86=10",
"27-10=17"
] | Current State: 17:[3, 24, 96, 86], Operations: []
Exploring Operation: 3+24=27, Resulting Numbers: [96, 86, 27]
Generated Node #2: [96, 86, 27] from Operation: 3+24=27
Current State: 17:[96, 86, 27], Operations: ['3+24=27']
Exploring Operation: 96-86=10, Resulting Numbers: [27, 10]
Generated Node #3: [27, 10] from Operation: 96-86=10
Current State: 17:[27, 10], Operations: ['3+24=27', '96-86=10']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
51,
49,
7,
21
] | 66 | [
"51*7=357",
"357/21=17",
"49+17=66"
] | Current State: 66:[51, 49, 7, 21], Operations: []
Exploring Operation: 51*7=357, Resulting Numbers: [49, 21, 357]
Generated Node #2: [49, 21, 357] from Operation: 51*7=357
Current State: 66:[49, 21, 357], Operations: ['51*7=357']
Exploring Operation: 357/21=17, Resulting Numbers: [49, 17]
Generated Node #3: [49, 17] from Operation: 357/21=17
Current State: 66:[49, 17], Operations: ['51*7=357', '357/21=17']
Exploring Operation: 49+17=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
42,
4,
92,
10
] | 41 | [
"4*92=368",
"42+368=410",
"410/10=41"
] | Current State: 41:[42, 4, 92, 10], Operations: []
Exploring Operation: 4*92=368, Resulting Numbers: [42, 10, 368]
Generated Node #2: [42, 10, 368] from Operation: 4*92=368
Current State: 41:[42, 10, 368], Operations: ['4*92=368']
Exploring Operation: 42+368=410, Resulting Numbers: [10, 410]
Generated Node #3: [10, 410] from Operation: 42+368=410
Current State: 41:[10, 410], Operations: ['4*92=368', '42+368=410']
Exploring Operation: 410/10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
46,
58,
79,
6
] | 77 | [
"58-46=12",
"12/6=2",
"79-2=77"
] | Current State: 77:[46, 58, 79, 6], Operations: []
Exploring Operation: 58-46=12, Resulting Numbers: [79, 6, 12]
Generated Node #2: [79, 6, 12] from Operation: 58-46=12
Current State: 77:[79, 6, 12], Operations: ['58-46=12']
Exploring Operation: 12/6=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 12/6=2
Current State: 77:[79, 2], Operations: ['58-46=12', '12/6=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
38,
99,
19,
9
] | 22 | [
"38*99=3762",
"19*9=171",
"3762/171=22"
] | Current State: 22:[38, 99, 19, 9], Operations: []
Exploring Operation: 38*99=3762, Resulting Numbers: [19, 9, 3762]
Generated Node #2: [19, 9, 3762] from Operation: 38*99=3762
Current State: 22:[19, 9, 3762], Operations: ['38*99=3762']
Exploring Operation: 19*9=171, Resulting Numbers: [3762, 171]
Generated Node #3: [3762, 171] from Operation: 19*9=171
Current State: 22:[3762, 171], Operations: ['38*99=3762', '19*9=171']
Exploring Operation: 3762/171=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
87,
46,
97,
13
] | 23 | [
"87+46=133",
"97+13=110",
"133-110=23"
] | Current State: 23:[87, 46, 97, 13], Operations: []
Exploring Operation: 87+46=133, Resulting Numbers: [97, 13, 133]
Generated Node #2: [97, 13, 133] from Operation: 87+46=133
Current State: 23:[97, 13, 133], Operations: ['87+46=133']
Exploring Operation: 97+13=110, Resulting Numbers: [133, 110]
Generated Node #3: [133, 110] from Operation: 97+13=110
Current State: 23:[133, 110], Operations: ['87+46=133', '97+13=110']
Exploring Operation: 133-110=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
85,
43,
30,
59
] | 71 | [
"85-43=42",
"59-30=29",
"42+29=71"
] | Current State: 71:[85, 43, 30, 59], Operations: []
Exploring Operation: 85-43=42, Resulting Numbers: [30, 59, 42]
Generated Node #2: [30, 59, 42] from Operation: 85-43=42
Current State: 71:[30, 59, 42], Operations: ['85-43=42']
Exploring Operation: 59-30=29, Resulting Numbers: [42, 29]
Generated Node #3: [42, 29] from Operation: 59-30=29
Current State: 71:[42, 29], Operations: ['85-43=42', '59-30=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
22,
12,
45,
2
] | 22 | [
"22+12=34",
"45-34=11",
"2*11=22"
] | Current State: 22:[22, 12, 45, 2], Operations: []
Exploring Operation: 22+12=34, Resulting Numbers: [45, 2, 34]
Generated Node #2: [45, 2, 34] from Operation: 22+12=34
Current State: 22:[45, 2, 34], Operations: ['22+12=34']
Exploring Operation: 45-34=11, Resulting Numbers: [2, 11]
Generated Node #3: [2, 11] from Operation: 45-34=11
Current State: 22:[2, 11], Operations: ['22+12=34', '45-34=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
13,
31,
91,
50
] | 88 | [
"91/13=7",
"31+50=81",
"7+81=88"
] | Current State: 88:[13, 31, 91, 50], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [31, 50, 7]
Generated Node #2: [31, 50, 7] from Operation: 91/13=7
Current State: 88:[31, 50, 7], Operations: ['91/13=7']
Exploring Operation: 31+50=81, Resulting Numbers: [7, 81]
Generated Node #3: [7, 81] from Operation: 31+50=81
Current State: 88:[7, 81], Operations: ['91/13=7', '31+50=81']
Exploring Operation: 7+81=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
28,
63,
28,
84
] | 59 | [
"28+84=112",
"112/28=4",
"63-4=59"
] | Current State: 59:[28, 63, 28, 84], Operations: []
Exploring Operation: 28+84=112, Resulting Numbers: [63, 112]
Generated Node #2: [63, 112] from Operation: 28+84=112
Current State: 59:[63, 112], Operations: ['28+84=112']
Exploring Operation: 112/28=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 112/28=4
Current State: 59:[63, 4], Operations: ['28+84=112', '112/28=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
39,
99,
32,
94
] | 12 | [
"39+99=138",
"32+94=126",
"138-126=12"
] | Current State: 12:[39, 99, 32, 94], Operations: []
Exploring Operation: 39+99=138, Resulting Numbers: [32, 94, 138]
Generated Node #2: [32, 94, 138] from Operation: 39+99=138
Current State: 12:[32, 94, 138], Operations: ['39+99=138']
Exploring Operation: 32+94=126, Resulting Numbers: [138, 126]
Generated Node #3: [138, 126] from Operation: 32+94=126
Current State: 12:[138, 126], Operations: ['39+99=138', '32+94=126']
Exploring Operation: 138-126=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
2,
44,
28,
22
] | 76 | [
"44-28=16",
"22+16=38",
"2*38=76"
] | Current State: 76:[2, 44, 28, 22], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [2, 22, 16]
Generated Node #2: [2, 22, 16] from Operation: 44-28=16
Current State: 76:[2, 22, 16], Operations: ['44-28=16']
Exploring Operation: 22+16=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 22+16=38
Current State: 76:[2, 38], Operations: ['44-28=16', '22+16=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
42,
21,
56,
3
] | 31 | [
"42/21=2",
"56/2=28",
"3+28=31"
] | Current State: 31:[42, 21, 56, 3], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [56, 3, 2]
Generated Node #2: [56, 3, 2] from Operation: 42/21=2
Current State: 31:[56, 3, 2], Operations: ['42/21=2']
Exploring Operation: 56/2=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 56/2=28
Current State: 31:[3, 28], Operations: ['42/21=2', '56/2=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
95,
23,
25,
52
] | 98 | [
"23+52=75",
"75/25=3",
"95+3=98"
] | Current State: 98:[95, 23, 25, 52], Operations: []
Exploring Operation: 23+52=75, Resulting Numbers: [95, 25, 75]
Generated Node #2: [95, 25, 75] from Operation: 23+52=75
Current State: 98:[95, 25, 75], Operations: ['23+52=75']
Exploring Operation: 75/25=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 75/25=3
Current State: 98:[95, 3], Operations: ['23+52=75', '75/25=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
91,
82,
93,
28
] | 68 | [
"93-91=2",
"28/2=14",
"82-14=68"
] | Current State: 68:[91, 82, 93, 28], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [82, 28, 2]
Generated Node #2: [82, 28, 2] from Operation: 93-91=2
Current State: 68:[82, 28, 2], Operations: ['93-91=2']
Exploring Operation: 28/2=14, Resulting Numbers: [82, 14]
Generated Node #3: [82, 14] from Operation: 28/2=14
Current State: 68:[82, 14], Operations: ['93-91=2', '28/2=14']
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
54,
11,
46,
9
] | 80 | [
"54-11=43",
"46-9=37",
"43+37=80"
] | Current State: 80:[54, 11, 46, 9], Operations: []
Exploring Operation: 54-11=43, Resulting Numbers: [46, 9, 43]
Generated Node #2: [46, 9, 43] from Operation: 54-11=43
Current State: 80:[46, 9, 43], Operations: ['54-11=43']
Exploring Operation: 46-9=37, Resulting Numbers: [43, 37]
Generated Node #3: [43, 37] from Operation: 46-9=37
Current State: 80:[43, 37], Operations: ['54-11=43', '46-9=37']
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
41,
90,
35,
20
] | 43 | [
"90-20=70",
"70/35=2",
"41+2=43"
] | Current State: 43:[41, 90, 35, 20], Operations: []
Exploring Operation: 90-20=70, Resulting Numbers: [41, 35, 70]
Generated Node #2: [41, 35, 70] from Operation: 90-20=70
Current State: 43:[41, 35, 70], Operations: ['90-20=70']
Exploring Operation: 70/35=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 70/35=2
Current State: 43:[41, 2], Operations: ['90-20=70', '70/35=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
2,
74,
31,
77
] | 71 | [
"74/2=37",
"31+77=108",
"108-37=71"
] | Current State: 71:[2, 74, 31, 77], Operations: []
Exploring Operation: 74/2=37, Resulting Numbers: [31, 77, 37]
Generated Node #2: [31, 77, 37] from Operation: 74/2=37
Current State: 71:[31, 77, 37], Operations: ['74/2=37']
Exploring Operation: 31+77=108, Resulting Numbers: [37, 108]
Generated Node #3: [37, 108] from Operation: 31+77=108
Current State: 71:[37, 108], Operations: ['74/2=37', '31+77=108']
Exploring Operation: 108-37=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
30,
60,
4,
36
] | 42 | [
"60/30=2",
"4+36=40",
"2+40=42"
] | Current State: 42:[30, 60, 4, 36], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [4, 36, 2]
Generated Node #2: [4, 36, 2] from Operation: 60/30=2
Current State: 42:[4, 36, 2], Operations: ['60/30=2']
Exploring Operation: 4+36=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 4+36=40
Current State: 42:[2, 40], Operations: ['60/30=2', '4+36=40']
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
85,
89,
9,
66
] | 53 | [
"89-85=4",
"66-9=57",
"57-4=53"
] | Current State: 53:[85, 89, 9, 66], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [9, 66, 4]
Generated Node #2: [9, 66, 4] from Operation: 89-85=4
Current State: 53:[9, 66, 4], Operations: ['89-85=4']
Exploring Operation: 66-9=57, Resulting Numbers: [4, 57]
Generated Node #3: [4, 57] from Operation: 66-9=57
Current State: 53:[4, 57], Operations: ['89-85=4', '66-9=57']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
90,
16,
52,
24
] | 60 | [
"90*24=2160",
"52-16=36",
"2160/36=60"
] | Current State: 60:[90, 16, 52, 24], Operations: []
Exploring Operation: 90*24=2160, Resulting Numbers: [16, 52, 2160]
Generated Node #2: [16, 52, 2160] from Operation: 90*24=2160
Current State: 60:[16, 52, 2160], Operations: ['90*24=2160']
Exploring Operation: 52-16=36, Resulting Numbers: [2160, 36]
Generated Node #3: [2160, 36] from Operation: 52-16=36
Current State: 60:[2160, 36], Operations: ['90*24=2160', '52-16=36']
Exploring Operation: 2160/36=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
67,
28,
41,
5
] | 49 | [
"67+28=95",
"41+5=46",
"95-46=49"
] | Current State: 49:[67, 28, 41, 5], Operations: []
Exploring Operation: 67+28=95, Resulting Numbers: [41, 5, 95]
Generated Node #2: [41, 5, 95] from Operation: 67+28=95
Current State: 49:[41, 5, 95], Operations: ['67+28=95']
Exploring Operation: 41+5=46, Resulting Numbers: [95, 46]
Generated Node #3: [95, 46] from Operation: 41+5=46
Current State: 49:[95, 46], Operations: ['67+28=95', '41+5=46']
Exploring Operation: 95-46=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
17,
94,
31,
33
] | 30 | [
"33-31=2",
"94/2=47",
"47-17=30"
] | Current State: 30:[17, 94, 31, 33], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [17, 94, 2]
Generated Node #2: [17, 94, 2] from Operation: 33-31=2
Current State: 30:[17, 94, 2], Operations: ['33-31=2']
Exploring Operation: 94/2=47, Resulting Numbers: [17, 47]
Generated Node #3: [17, 47] from Operation: 94/2=47
Current State: 30:[17, 47], Operations: ['33-31=2', '94/2=47']
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
25,
4,
3,
4
] | 41 | [
"25+4=29",
"3*4=12",
"29+12=41"
] | Current State: 41:[25, 4, 3, 4], Operations: []
Exploring Operation: 25+4=29, Resulting Numbers: [3, 29]
Generated Node #2: [3, 29] from Operation: 25+4=29
Current State: 41:[3, 29], Operations: ['25+4=29']
Exploring Operation: 3*4=12, Resulting Numbers: [29, 12]
Generated Node #3: [29, 12] from Operation: 3*4=12
Current State: 41:[29, 12], Operations: ['25+4=29', '3*4=12']
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
88,
55,
53,
92
] | 96 | [
"55-53=2",
"92*2=184",
"184-88=96"
] | Current State: 96:[88, 55, 53, 92], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [88, 92, 2]
Generated Node #2: [88, 92, 2] from Operation: 55-53=2
Current State: 96:[88, 92, 2], Operations: ['55-53=2']
Exploring Operation: 92*2=184, Resulting Numbers: [88, 184]
Generated Node #3: [88, 184] from Operation: 92*2=184
Current State: 96:[88, 184], Operations: ['55-53=2', '92*2=184']
Exploring Operation: 184-88=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
47,
3,
29,
6
] | 40 | [
"6-3=3",
"29*3=87",
"87-47=40"
] | Current State: 40:[47, 3, 29, 6], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [47, 29, 3]
Generated Node #2: [47, 29, 3] from Operation: 6-3=3
Current State: 40:[47, 29, 3], Operations: ['6-3=3']
Exploring Operation: 29*3=87, Resulting Numbers: [47, 87]
Generated Node #3: [47, 87] from Operation: 29*3=87
Current State: 40:[47, 87], Operations: ['6-3=3', '29*3=87']
Exploring Operation: 87-47=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
29,
64,
16,
56
] | 53 | [
"29+64=93",
"56-16=40",
"93-40=53"
] | Current State: 53:[29, 64, 16, 56], Operations: []
Exploring Operation: 29+64=93, Resulting Numbers: [16, 56, 93]
Generated Node #2: [16, 56, 93] from Operation: 29+64=93
Current State: 53:[16, 56, 93], Operations: ['29+64=93']
Exploring Operation: 56-16=40, Resulting Numbers: [93, 40]
Generated Node #3: [93, 40] from Operation: 56-16=40
Current State: 53:[93, 40], Operations: ['29+64=93', '56-16=40']
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
30,
44,
5,
26
] | 16 | [
"30-26=4",
"44/4=11",
"5+11=16"
] | Current State: 16:[30, 44, 5, 26], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [44, 5, 4]
Generated Node #2: [44, 5, 4] from Operation: 30-26=4
Current State: 16:[44, 5, 4], Operations: ['30-26=4']
Exploring Operation: 44/4=11, Resulting Numbers: [5, 11]
Generated Node #3: [5, 11] from Operation: 44/4=11
Current State: 16:[5, 11], Operations: ['30-26=4', '44/4=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
54,
59,
42,
87
] | 50 | [
"59-54=5",
"87-42=45",
"5+45=50"
] | Current State: 50:[54, 59, 42, 87], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [42, 87, 5]
Generated Node #2: [42, 87, 5] from Operation: 59-54=5
Current State: 50:[42, 87, 5], Operations: ['59-54=5']
Exploring Operation: 87-42=45, Resulting Numbers: [5, 45]
Generated Node #3: [5, 45] from Operation: 87-42=45
Current State: 50:[5, 45], Operations: ['59-54=5', '87-42=45']
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
68,
66,
25,
79
] | 19 | [
"79-68=11",
"66/11=6",
"25-6=19"
] | Current State: 19:[68, 66, 25, 79], Operations: []
Exploring Operation: 79-68=11, Resulting Numbers: [66, 25, 11]
Generated Node #2: [66, 25, 11] from Operation: 79-68=11
Current State: 19:[66, 25, 11], Operations: ['79-68=11']
Exploring Operation: 66/11=6, Resulting Numbers: [25, 6]
Generated Node #3: [25, 6] from Operation: 66/11=6
Current State: 19:[25, 6], Operations: ['79-68=11', '66/11=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
38,
8,
51,
23
] | 81 | [
"51-38=13",
"8*13=104",
"104-23=81"
] | Current State: 81:[38, 8, 51, 23], Operations: []
Exploring Operation: 51-38=13, Resulting Numbers: [8, 23, 13]
Generated Node #2: [8, 23, 13] from Operation: 51-38=13
Current State: 81:[8, 23, 13], Operations: ['51-38=13']
Exploring Operation: 8*13=104, Resulting Numbers: [23, 104]
Generated Node #3: [23, 104] from Operation: 8*13=104
Current State: 81:[23, 104], Operations: ['51-38=13', '8*13=104']
Exploring Operation: 104-23=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
35,
10,
14,
55
] | 94 | [
"35-10=25",
"14+55=69",
"25+69=94"
] | Current State: 94:[35, 10, 14, 55], Operations: []
Exploring Operation: 35-10=25, Resulting Numbers: [14, 55, 25]
Generated Node #2: [14, 55, 25] from Operation: 35-10=25
Current State: 94:[14, 55, 25], Operations: ['35-10=25']
Exploring Operation: 14+55=69, Resulting Numbers: [25, 69]
Generated Node #3: [25, 69] from Operation: 14+55=69
Current State: 94:[25, 69], Operations: ['35-10=25', '14+55=69']
Exploring Operation: 25+69=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
73,
64,
84,
89
] | 45 | [
"73-64=9",
"89-84=5",
"9*5=45"
] | Current State: 45:[73, 64, 84, 89], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [84, 89, 9]
Generated Node #2: [84, 89, 9] from Operation: 73-64=9
Current State: 45:[84, 89, 9], Operations: ['73-64=9']
Exploring Operation: 89-84=5, Resulting Numbers: [9, 5]
Generated Node #3: [9, 5] from Operation: 89-84=5
Current State: 45:[9, 5], Operations: ['73-64=9', '89-84=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
63,
2,
37,
31
] | 44 | [
"63-37=26",
"26/2=13",
"31+13=44"
] | Current State: 44:[63, 2, 37, 31], Operations: []
Exploring Operation: 63-37=26, Resulting Numbers: [2, 31, 26]
Generated Node #2: [2, 31, 26] from Operation: 63-37=26
Current State: 44:[2, 31, 26], Operations: ['63-37=26']
Exploring Operation: 26/2=13, Resulting Numbers: [31, 13]
Generated Node #3: [31, 13] from Operation: 26/2=13
Current State: 44:[31, 13], Operations: ['63-37=26', '26/2=13']
Exploring Operation: 31+13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
85,
1,
84,
68
] | 34 | [
"85+1=86",
"86-84=2",
"68/2=34"
] | Current State: 34:[85, 1, 84, 68], Operations: []
Exploring Operation: 85+1=86, Resulting Numbers: [84, 68, 86]
Generated Node #2: [84, 68, 86] from Operation: 85+1=86
Current State: 34:[84, 68, 86], Operations: ['85+1=86']
Exploring Operation: 86-84=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 86-84=2
Current State: 34:[68, 2], Operations: ['85+1=86', '86-84=2']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
48,
12,
10,
84
] | 96 | [
"12*84=1008",
"1008-48=960",
"960/10=96"
] | Current State: 96:[48, 12, 10, 84], Operations: []
Exploring Operation: 12*84=1008, Resulting Numbers: [48, 10, 1008]
Generated Node #2: [48, 10, 1008] from Operation: 12*84=1008
Current State: 96:[48, 10, 1008], Operations: ['12*84=1008']
Exploring Operation: 1008-48=960, Resulting Numbers: [10, 960]
Generated Node #3: [10, 960] from Operation: 1008-48=960
Current State: 96:[10, 960], Operations: ['12*84=1008', '1008-48=960']
Exploring Operation: 960/10=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
83,
9,
85,
80
] | 73 | [
"83+9=92",
"85+80=165",
"165-92=73"
] | Current State: 73:[83, 9, 85, 80], Operations: []
Exploring Operation: 83+9=92, Resulting Numbers: [85, 80, 92]
Generated Node #2: [85, 80, 92] from Operation: 83+9=92
Current State: 73:[85, 80, 92], Operations: ['83+9=92']
Exploring Operation: 85+80=165, Resulting Numbers: [92, 165]
Generated Node #3: [92, 165] from Operation: 85+80=165
Current State: 73:[92, 165], Operations: ['83+9=92', '85+80=165']
Exploring Operation: 165-92=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
21,
73,
80,
83
] | 10 | [
"83-80=3",
"21*3=63",
"73-63=10"
] | Current State: 10:[21, 73, 80, 83], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [21, 73, 3]
Generated Node #2: [21, 73, 3] from Operation: 83-80=3
Current State: 10:[21, 73, 3], Operations: ['83-80=3']
Exploring Operation: 21*3=63, Resulting Numbers: [73, 63]
Generated Node #3: [73, 63] from Operation: 21*3=63
Current State: 10:[73, 63], Operations: ['83-80=3', '21*3=63']
Exploring Operation: 73-63=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
36,
74,
75,
1
] | 18 | [
"75-74=1",
"1+1=2",
"36/2=18"
] | Current State: 18:[36, 74, 75, 1], Operations: []
Exploring Operation: 75-74=1, Resulting Numbers: [36, 1, 1]
Generated Node #2: [36, 1, 1] from Operation: 75-74=1
Current State: 18:[36, 1, 1], Operations: ['75-74=1']
Exploring Operation: 1+1=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 1+1=2
Current State: 18:[36, 2], Operations: ['75-74=1', '1+1=2']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
75,
20,
87,
85
] | 85 | [
"85-75=10",
"20/10=2",
"87-2=85"
] | Current State: 85:[75, 20, 87, 85], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [20, 87, 10]
Generated Node #2: [20, 87, 10] from Operation: 85-75=10
Current State: 85:[20, 87, 10], Operations: ['85-75=10']
Exploring Operation: 20/10=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 20/10=2
Current State: 85:[87, 2], Operations: ['85-75=10', '20/10=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
89,
58,
34,
91
] | 75 | [
"91-89=2",
"34/2=17",
"58+17=75"
] | Current State: 75:[89, 58, 34, 91], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [58, 34, 2]
Generated Node #2: [58, 34, 2] from Operation: 91-89=2
Current State: 75:[58, 34, 2], Operations: ['91-89=2']
Exploring Operation: 34/2=17, Resulting Numbers: [58, 17]
Generated Node #3: [58, 17] from Operation: 34/2=17
Current State: 75:[58, 17], Operations: ['91-89=2', '34/2=17']
Exploring Operation: 58+17=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
77,
97,
72,
35
] | 67 | [
"77+97=174",
"72+35=107",
"174-107=67"
] | Current State: 67:[77, 97, 72, 35], Operations: []
Exploring Operation: 77+97=174, Resulting Numbers: [72, 35, 174]
Generated Node #2: [72, 35, 174] from Operation: 77+97=174
Current State: 67:[72, 35, 174], Operations: ['77+97=174']
Exploring Operation: 72+35=107, Resulting Numbers: [174, 107]
Generated Node #3: [174, 107] from Operation: 72+35=107
Current State: 67:[174, 107], Operations: ['77+97=174', '72+35=107']
Exploring Operation: 174-107=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
85,
59,
87,
6
] | 63 | [
"85+59=144",
"87-6=81",
"144-81=63"
] | Current State: 63:[85, 59, 87, 6], Operations: []
Exploring Operation: 85+59=144, Resulting Numbers: [87, 6, 144]
Generated Node #2: [87, 6, 144] from Operation: 85+59=144
Current State: 63:[87, 6, 144], Operations: ['85+59=144']
Exploring Operation: 87-6=81, Resulting Numbers: [144, 81]
Generated Node #3: [144, 81] from Operation: 87-6=81
Current State: 63:[144, 81], Operations: ['85+59=144', '87-6=81']
Exploring Operation: 144-81=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
17,
87,
22,
14
] | 27 | [
"87-17=70",
"70/14=5",
"22+5=27"
] | Current State: 27:[17, 87, 22, 14], Operations: []
Exploring Operation: 87-17=70, Resulting Numbers: [22, 14, 70]
Generated Node #2: [22, 14, 70] from Operation: 87-17=70
Current State: 27:[22, 14, 70], Operations: ['87-17=70']
Exploring Operation: 70/14=5, Resulting Numbers: [22, 5]
Generated Node #3: [22, 5] from Operation: 70/14=5
Current State: 27:[22, 5], Operations: ['87-17=70', '70/14=5']
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
47,
32,
6,
69
] | 76 | [
"47+69=116",
"32*6=192",
"192-116=76"
] | Current State: 76:[47, 32, 6, 69], Operations: []
Exploring Operation: 47+69=116, Resulting Numbers: [32, 6, 116]
Generated Node #2: [32, 6, 116] from Operation: 47+69=116
Current State: 76:[32, 6, 116], Operations: ['47+69=116']
Exploring Operation: 32*6=192, Resulting Numbers: [116, 192]
Generated Node #3: [116, 192] from Operation: 32*6=192
Current State: 76:[116, 192], Operations: ['47+69=116', '32*6=192']
Exploring Operation: 192-116=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
17,
30,
72,
69
] | 81 | [
"72-69=3",
"17*3=51",
"30+51=81"
] | Current State: 81:[17, 30, 72, 69], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [17, 30, 3]
Generated Node #2: [17, 30, 3] from Operation: 72-69=3
Current State: 81:[17, 30, 3], Operations: ['72-69=3']
Exploring Operation: 17*3=51, Resulting Numbers: [30, 51]
Generated Node #3: [30, 51] from Operation: 17*3=51
Current State: 81:[30, 51], Operations: ['72-69=3', '17*3=51']
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
86,
42,
36,
97
] | 17 | [
"86-42=44",
"97-36=61",
"61-44=17"
] | Current State: 17:[86, 42, 36, 97], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [36, 97, 44]
Generated Node #2: [36, 97, 44] from Operation: 86-42=44
Current State: 17:[36, 97, 44], Operations: ['86-42=44']
Exploring Operation: 97-36=61, Resulting Numbers: [44, 61]
Generated Node #3: [44, 61] from Operation: 97-36=61
Current State: 17:[44, 61], Operations: ['86-42=44', '97-36=61']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
5,
50,
85,
84
] | 54 | [
"5+50=55",
"85-84=1",
"55-1=54"
] | Current State: 54:[5, 50, 85, 84], Operations: []
Exploring Operation: 5+50=55, Resulting Numbers: [85, 84, 55]
Generated Node #2: [85, 84, 55] from Operation: 5+50=55
Current State: 54:[85, 84, 55], Operations: ['5+50=55']
Exploring Operation: 85-84=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 85-84=1
Current State: 54:[55, 1], Operations: ['5+50=55', '85-84=1']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
24,
2,
11,
17
] | 50 | [
"24-2=22",
"11+17=28",
"22+28=50"
] | Current State: 50:[24, 2, 11, 17], Operations: []
Exploring Operation: 24-2=22, Resulting Numbers: [11, 17, 22]
Generated Node #2: [11, 17, 22] from Operation: 24-2=22
Current State: 50:[11, 17, 22], Operations: ['24-2=22']
Exploring Operation: 11+17=28, Resulting Numbers: [22, 28]
Generated Node #3: [22, 28] from Operation: 11+17=28
Current State: 50:[22, 28], Operations: ['24-2=22', '11+17=28']
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
66,
82,
29,
6
] | 51 | [
"82-66=16",
"29+6=35",
"16+35=51"
] | Current State: 51:[66, 82, 29, 6], Operations: []
Exploring Operation: 82-66=16, Resulting Numbers: [29, 6, 16]
Generated Node #2: [29, 6, 16] from Operation: 82-66=16
Current State: 51:[29, 6, 16], Operations: ['82-66=16']
Exploring Operation: 29+6=35, Resulting Numbers: [16, 35]
Generated Node #3: [16, 35] from Operation: 29+6=35
Current State: 51:[16, 35], Operations: ['82-66=16', '29+6=35']
Exploring Operation: 16+35=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
8,
58,
60,
40
] | 36 | [
"60-58=2",
"8/2=4",
"40-4=36"
] | Current State: 36:[8, 58, 60, 40], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [8, 40, 2]
Generated Node #2: [8, 40, 2] from Operation: 60-58=2
Current State: 36:[8, 40, 2], Operations: ['60-58=2']
Exploring Operation: 8/2=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 8/2=4
Current State: 36:[40, 4], Operations: ['60-58=2', '8/2=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
3,
96,
51,
40
] | 73 | [
"51/3=17",
"96-40=56",
"17+56=73"
] | Current State: 73:[3, 96, 51, 40], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [96, 40, 17]
Generated Node #2: [96, 40, 17] from Operation: 51/3=17
Current State: 73:[96, 40, 17], Operations: ['51/3=17']
Exploring Operation: 96-40=56, Resulting Numbers: [17, 56]
Generated Node #3: [17, 56] from Operation: 96-40=56
Current State: 73:[17, 56], Operations: ['51/3=17', '96-40=56']
Exploring Operation: 17+56=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
25,
76,
70,
99
] | 77 | [
"76+99=175",
"175/25=7",
"70+7=77"
] | Current State: 77:[25, 76, 70, 99], Operations: []
Exploring Operation: 76+99=175, Resulting Numbers: [25, 70, 175]
Generated Node #2: [25, 70, 175] from Operation: 76+99=175
Current State: 77:[25, 70, 175], Operations: ['76+99=175']
Exploring Operation: 175/25=7, Resulting Numbers: [70, 7]
Generated Node #3: [70, 7] from Operation: 175/25=7
Current State: 77:[70, 7], Operations: ['76+99=175', '175/25=7']
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
28,
58,
31,
27
] | 26 | [
"58-28=30",
"31-27=4",
"30-4=26"
] | Current State: 26:[28, 58, 31, 27], Operations: []
Exploring Operation: 58-28=30, Resulting Numbers: [31, 27, 30]
Generated Node #2: [31, 27, 30] from Operation: 58-28=30
Current State: 26:[31, 27, 30], Operations: ['58-28=30']
Exploring Operation: 31-27=4, Resulting Numbers: [30, 4]
Generated Node #3: [30, 4] from Operation: 31-27=4
Current State: 26:[30, 4], Operations: ['58-28=30', '31-27=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
85,
5,
81,
47
] | 67 | [
"85-81=4",
"5*4=20",
"47+20=67"
] | Current State: 67:[85, 5, 81, 47], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [5, 47, 4]
Generated Node #2: [5, 47, 4] from Operation: 85-81=4
Current State: 67:[5, 47, 4], Operations: ['85-81=4']
Exploring Operation: 5*4=20, Resulting Numbers: [47, 20]
Generated Node #3: [47, 20] from Operation: 5*4=20
Current State: 67:[47, 20], Operations: ['85-81=4', '5*4=20']
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
36,
68,
80,
17
] | 56 | [
"68/17=4",
"80/4=20",
"36+20=56"
] | Current State: 56:[36, 68, 80, 17], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [36, 80, 4]
Generated Node #2: [36, 80, 4] from Operation: 68/17=4
Current State: 56:[36, 80, 4], Operations: ['68/17=4']
Exploring Operation: 80/4=20, Resulting Numbers: [36, 20]
Generated Node #3: [36, 20] from Operation: 80/4=20
Current State: 56:[36, 20], Operations: ['68/17=4', '80/4=20']
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
36,
30,
23,
32
] | 57 | [
"36+30=66",
"32-23=9",
"66-9=57"
] | Current State: 57:[36, 30, 23, 32], Operations: []
Exploring Operation: 36+30=66, Resulting Numbers: [23, 32, 66]
Generated Node #2: [23, 32, 66] from Operation: 36+30=66
Current State: 57:[23, 32, 66], Operations: ['36+30=66']
Exploring Operation: 32-23=9, Resulting Numbers: [66, 9]
Generated Node #3: [66, 9] from Operation: 32-23=9
Current State: 57:[66, 9], Operations: ['36+30=66', '32-23=9']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
81,
10,
63,
54
] | 80 | [
"81-10=71",
"63-54=9",
"71+9=80"
] | Current State: 80:[81, 10, 63, 54], Operations: []
Exploring Operation: 81-10=71, Resulting Numbers: [63, 54, 71]
Generated Node #2: [63, 54, 71] from Operation: 81-10=71
Current State: 80:[63, 54, 71], Operations: ['81-10=71']
Exploring Operation: 63-54=9, Resulting Numbers: [71, 9]
Generated Node #3: [71, 9] from Operation: 63-54=9
Current State: 80:[71, 9], Operations: ['81-10=71', '63-54=9']
Exploring Operation: 71+9=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
81,
7,
50,
6
] | 89 | [
"81+50=131",
"7*6=42",
"131-42=89"
] | Current State: 89:[81, 7, 50, 6], Operations: []
Exploring Operation: 81+50=131, Resulting Numbers: [7, 6, 131]
Generated Node #2: [7, 6, 131] from Operation: 81+50=131
Current State: 89:[7, 6, 131], Operations: ['81+50=131']
Exploring Operation: 7*6=42, Resulting Numbers: [131, 42]
Generated Node #3: [131, 42] from Operation: 7*6=42
Current State: 89:[131, 42], Operations: ['81+50=131', '7*6=42']
Exploring Operation: 131-42=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
70,
49,
54,
41
] | 91 | [
"70*54=3780",
"3780-49=3731",
"3731/41=91"
] | Current State: 91:[70, 49, 54, 41], Operations: []
Exploring Operation: 70*54=3780, Resulting Numbers: [49, 41, 3780]
Generated Node #2: [49, 41, 3780] from Operation: 70*54=3780
Current State: 91:[49, 41, 3780], Operations: ['70*54=3780']
Exploring Operation: 3780-49=3731, Resulting Numbers: [41, 3731]
Generated Node #3: [41, 3731] from Operation: 3780-49=3731
Current State: 91:[41, 3731], Operations: ['70*54=3780', '3780-49=3731']
Exploring Operation: 3731/41=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
7,
53,
33,
11
] | 97 | [
"7*11=77",
"53-33=20",
"77+20=97"
] | Current State: 97:[7, 53, 33, 11], Operations: []
Exploring Operation: 7*11=77, Resulting Numbers: [53, 33, 77]
Generated Node #2: [53, 33, 77] from Operation: 7*11=77
Current State: 97:[53, 33, 77], Operations: ['7*11=77']
Exploring Operation: 53-33=20, Resulting Numbers: [77, 20]
Generated Node #3: [77, 20] from Operation: 53-33=20
Current State: 97:[77, 20], Operations: ['7*11=77', '53-33=20']
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
38,
22,
69
] | 38 | [
"69/3=23",
"23-22=1",
"38*1=38"
] | Current State: 38:[3, 38, 22, 69], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [38, 22, 23]
Generated Node #2: [38, 22, 23] from Operation: 69/3=23
Current State: 38:[38, 22, 23], Operations: ['69/3=23']
Exploring Operation: 23-22=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 23-22=1
Current State: 38:[38, 1], Operations: ['69/3=23', '23-22=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
9,
22,
34,
53
] | 89 | [
"22*34=748",
"53+748=801",
"801/9=89"
] | Current State: 89:[9, 22, 34, 53], Operations: []
Exploring Operation: 22*34=748, Resulting Numbers: [9, 53, 748]
Generated Node #2: [9, 53, 748] from Operation: 22*34=748
Current State: 89:[9, 53, 748], Operations: ['22*34=748']
Exploring Operation: 53+748=801, Resulting Numbers: [9, 801]
Generated Node #3: [9, 801] from Operation: 53+748=801
Current State: 89:[9, 801], Operations: ['22*34=748', '53+748=801']
Exploring Operation: 801/9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
54,
60,
43,
26
] | 45 | [
"54+60=114",
"43+26=69",
"114-69=45"
] | Current State: 45:[54, 60, 43, 26], Operations: []
Exploring Operation: 54+60=114, Resulting Numbers: [43, 26, 114]
Generated Node #2: [43, 26, 114] from Operation: 54+60=114
Current State: 45:[43, 26, 114], Operations: ['54+60=114']
Exploring Operation: 43+26=69, Resulting Numbers: [114, 69]
Generated Node #3: [114, 69] from Operation: 43+26=69
Current State: 45:[114, 69], Operations: ['54+60=114', '43+26=69']
Exploring Operation: 114-69=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
31,
17,
71,
89
] | 30 | [
"31+17=48",
"89-71=18",
"48-18=30"
] | Current State: 30:[31, 17, 71, 89], Operations: []
Exploring Operation: 31+17=48, Resulting Numbers: [71, 89, 48]
Generated Node #2: [71, 89, 48] from Operation: 31+17=48
Current State: 30:[71, 89, 48], Operations: ['31+17=48']
Exploring Operation: 89-71=18, Resulting Numbers: [48, 18]
Generated Node #3: [48, 18] from Operation: 89-71=18
Current State: 30:[48, 18], Operations: ['31+17=48', '89-71=18']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
91,
63,
21,
54
] | 73 | [
"63/21=3",
"54/3=18",
"91-18=73"
] | Current State: 73:[91, 63, 21, 54], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [91, 54, 3]
Generated Node #2: [91, 54, 3] from Operation: 63/21=3
Current State: 73:[91, 54, 3], Operations: ['63/21=3']
Exploring Operation: 54/3=18, Resulting Numbers: [91, 18]
Generated Node #3: [91, 18] from Operation: 54/3=18
Current State: 73:[91, 18], Operations: ['63/21=3', '54/3=18']
Exploring Operation: 91-18=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
18,
66,
37,
31
] | 20 | [
"66-18=48",
"37+31=68",
"68-48=20"
] | Current State: 20:[18, 66, 37, 31], Operations: []
Exploring Operation: 66-18=48, Resulting Numbers: [37, 31, 48]
Generated Node #2: [37, 31, 48] from Operation: 66-18=48
Current State: 20:[37, 31, 48], Operations: ['66-18=48']
Exploring Operation: 37+31=68, Resulting Numbers: [48, 68]
Generated Node #3: [48, 68] from Operation: 37+31=68
Current State: 20:[48, 68], Operations: ['66-18=48', '37+31=68']
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
12,
6,
1,
49
] | 55 | [
"12-6=6",
"1*49=49",
"6+49=55"
] | Current State: 55:[12, 6, 1, 49], Operations: []
Exploring Operation: 12-6=6, Resulting Numbers: [1, 49, 6]
Generated Node #2: [1, 49, 6] from Operation: 12-6=6
Current State: 55:[1, 49, 6], Operations: ['12-6=6']
Exploring Operation: 1*49=49, Resulting Numbers: [6, 49]
Generated Node #3: [6, 49] from Operation: 1*49=49
Current State: 55:[6, 49], Operations: ['12-6=6', '1*49=49']
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
80,
2,
85,
10
] | 97 | [
"2*85=170",
"170/10=17",
"80+17=97"
] | Current State: 97:[80, 2, 85, 10], Operations: []
Exploring Operation: 2*85=170, Resulting Numbers: [80, 10, 170]
Generated Node #2: [80, 10, 170] from Operation: 2*85=170
Current State: 97:[80, 10, 170], Operations: ['2*85=170']
Exploring Operation: 170/10=17, Resulting Numbers: [80, 17]
Generated Node #3: [80, 17] from Operation: 170/10=17
Current State: 97:[80, 17], Operations: ['2*85=170', '170/10=17']
Exploring Operation: 80+17=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
96,
85,
96,
4
] | 13 | [
"96-85=11",
"96/4=24",
"24-11=13"
] | Current State: 13:[96, 85, 96, 4], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [4, 11]
Generated Node #2: [4, 11] from Operation: 96-85=11
Current State: 13:[4, 11], Operations: ['96-85=11']
Exploring Operation: 96/4=24, Resulting Numbers: [11, 24]
Generated Node #3: [11, 24] from Operation: 96/4=24
Current State: 13:[11, 24], Operations: ['96-85=11', '96/4=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
64,
12,
94,
25
] | 17 | [
"64-12=52",
"94-25=69",
"69-52=17"
] | Current State: 17:[64, 12, 94, 25], Operations: []
Exploring Operation: 64-12=52, Resulting Numbers: [94, 25, 52]
Generated Node #2: [94, 25, 52] from Operation: 64-12=52
Current State: 17:[94, 25, 52], Operations: ['64-12=52']
Exploring Operation: 94-25=69, Resulting Numbers: [52, 69]
Generated Node #3: [52, 69] from Operation: 94-25=69
Current State: 17:[52, 69], Operations: ['64-12=52', '94-25=69']
Exploring Operation: 69-52=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
7,
8,
11,
28
] | 91 | [
"11-8=3",
"28*3=84",
"7+84=91"
] | Current State: 91:[7, 8, 11, 28], Operations: []
Exploring Operation: 11-8=3, Resulting Numbers: [7, 28, 3]
Generated Node #2: [7, 28, 3] from Operation: 11-8=3
Current State: 91:[7, 28, 3], Operations: ['11-8=3']
Exploring Operation: 28*3=84, Resulting Numbers: [7, 84]
Generated Node #3: [7, 84] from Operation: 28*3=84
Current State: 91:[7, 84], Operations: ['11-8=3', '28*3=84']
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
27,
71,
80,
41
] | 23 | [
"27+71=98",
"80+41=121",
"121-98=23"
] | Current State: 23:[27, 71, 80, 41], Operations: []
Exploring Operation: 27+71=98, Resulting Numbers: [80, 41, 98]
Generated Node #2: [80, 41, 98] from Operation: 27+71=98
Current State: 23:[80, 41, 98], Operations: ['27+71=98']
Exploring Operation: 80+41=121, Resulting Numbers: [98, 121]
Generated Node #3: [98, 121] from Operation: 80+41=121
Current State: 23:[98, 121], Operations: ['27+71=98', '80+41=121']
Exploring Operation: 121-98=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
68,
27,
24,
16
] | 50 | [
"27*16=432",
"432/24=18",
"68-18=50"
] | Current State: 50:[68, 27, 24, 16], Operations: []
Exploring Operation: 27*16=432, Resulting Numbers: [68, 24, 432]
Generated Node #2: [68, 24, 432] from Operation: 27*16=432
Current State: 50:[68, 24, 432], Operations: ['27*16=432']
Exploring Operation: 432/24=18, Resulting Numbers: [68, 18]
Generated Node #3: [68, 18] from Operation: 432/24=18
Current State: 50:[68, 18], Operations: ['27*16=432', '432/24=18']
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
2,
1,
72,
74
] | 74 | [
"74-1=73",
"2*73=146",
"146-72=74"
] | Current State: 74:[2, 1, 72, 74], Operations: []
Exploring Operation: 74-1=73, Resulting Numbers: [2, 72, 73]
Generated Node #2: [2, 72, 73] from Operation: 74-1=73
Current State: 74:[2, 72, 73], Operations: ['74-1=73']
Exploring Operation: 2*73=146, Resulting Numbers: [72, 146]
Generated Node #3: [72, 146] from Operation: 2*73=146
Current State: 74:[72, 146], Operations: ['74-1=73', '2*73=146']
Exploring Operation: 146-72=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.