nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
46,
17,
2,
38
] | 44 | [
"46+17=63",
"38/2=19",
"63-19=44"
] | Current State: 44:[46, 17, 2, 38], Operations: []
Exploring Operation: 46+17=63, Resulting Numbers: [2, 38, 63]
Generated Node #2: [2, 38, 63] from Operation: 46+17=63
Current State: 44:[2, 38, 63], Operations: ['46+17=63']
Exploring Operation: 38/2=19, Resulting Numbers: [63, 19]
Generated Node #3: [63, 19] from Operation: 38/2=19
Current State: 44:[63, 19], Operations: ['46+17=63', '38/2=19']
Exploring Operation: 63-19=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
45,
61,
49,
72
] | 15 | [
"45+61=106",
"49+72=121",
"121-106=15"
] | Current State: 15:[45, 61, 49, 72], Operations: []
Exploring Operation: 45+61=106, Resulting Numbers: [49, 72, 106]
Generated Node #2: [49, 72, 106] from Operation: 45+61=106
Current State: 15:[49, 72, 106], Operations: ['45+61=106']
Exploring Operation: 49+72=121, Resulting Numbers: [106, 121]
Generated Node #3: [106, 121] from Operation: 49+72=121
Current State: 15:[106, 121], Operations: ['45+61=106', '49+72=121']
Exploring Operation: 121-106=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
17,
85,
88,
14
] | 59 | [
"88-85=3",
"14*3=42",
"17+42=59"
] | Current State: 59:[17, 85, 88, 14], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [17, 14, 3]
Generated Node #2: [17, 14, 3] from Operation: 88-85=3
Current State: 59:[17, 14, 3], Operations: ['88-85=3']
Exploring Operation: 14*3=42, Resulting Numbers: [17, 42]
Generated Node #3: [17, 42] from Operation: 14*3=42
Current State: 59:[17, 42], Operations: ['88-85=3', '14*3=42']
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
1,
50,
13,
8
] | 46 | [
"1+50=51",
"13-8=5",
"51-5=46"
] | Current State: 46:[1, 50, 13, 8], Operations: []
Exploring Operation: 1+50=51, Resulting Numbers: [13, 8, 51]
Generated Node #2: [13, 8, 51] from Operation: 1+50=51
Current State: 46:[13, 8, 51], Operations: ['1+50=51']
Exploring Operation: 13-8=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 13-8=5
Current State: 46:[51, 5], Operations: ['1+50=51', '13-8=5']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
6,
29,
34,
10
] | 56 | [
"34-29=5",
"10*5=50",
"6+50=56"
] | Current State: 56:[6, 29, 34, 10], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [6, 10, 5]
Generated Node #2: [6, 10, 5] from Operation: 34-29=5
Current State: 56:[6, 10, 5], Operations: ['34-29=5']
Exploring Operation: 10*5=50, Resulting Numbers: [6, 50]
Generated Node #3: [6, 50] from Operation: 10*5=50
Current State: 56:[6, 50], Operations: ['34-29=5', '10*5=50']
Exploring Operation: 6+50=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
33,
73,
89,
31
] | 18 | [
"73-33=40",
"89-31=58",
"58-40=18"
] | Current State: 18:[33, 73, 89, 31], Operations: []
Exploring Operation: 73-33=40, Resulting Numbers: [89, 31, 40]
Generated Node #2: [89, 31, 40] from Operation: 73-33=40
Current State: 18:[89, 31, 40], Operations: ['73-33=40']
Exploring Operation: 89-31=58, Resulting Numbers: [40, 58]
Generated Node #3: [40, 58] from Operation: 89-31=58
Current State: 18:[40, 58], Operations: ['73-33=40', '89-31=58']
Exploring Operation: 58-40=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
10,
27,
71,
83
] | 80 | [
"10+71=81",
"81/27=3",
"83-3=80"
] | Current State: 80:[10, 27, 71, 83], Operations: []
Exploring Operation: 10+71=81, Resulting Numbers: [27, 83, 81]
Generated Node #2: [27, 83, 81] from Operation: 10+71=81
Current State: 80:[27, 83, 81], Operations: ['10+71=81']
Exploring Operation: 81/27=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 81/27=3
Current State: 80:[83, 3], Operations: ['10+71=81', '81/27=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
42,
26,
95,
94
] | 15 | [
"42-26=16",
"95-94=1",
"16-1=15"
] | Current State: 15:[42, 26, 95, 94], Operations: []
Exploring Operation: 42-26=16, Resulting Numbers: [95, 94, 16]
Generated Node #2: [95, 94, 16] from Operation: 42-26=16
Current State: 15:[95, 94, 16], Operations: ['42-26=16']
Exploring Operation: 95-94=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 95-94=1
Current State: 15:[16, 1], Operations: ['42-26=16', '95-94=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
44,
39,
59,
29
] | 83 | [
"44-39=5",
"59+29=88",
"88-5=83"
] | Current State: 83:[44, 39, 59, 29], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [59, 29, 5]
Generated Node #2: [59, 29, 5] from Operation: 44-39=5
Current State: 83:[59, 29, 5], Operations: ['44-39=5']
Exploring Operation: 59+29=88, Resulting Numbers: [5, 88]
Generated Node #3: [5, 88] from Operation: 59+29=88
Current State: 83:[5, 88], Operations: ['44-39=5', '59+29=88']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
35,
81,
10,
97
] | 61 | [
"81-35=46",
"10+97=107",
"107-46=61"
] | Current State: 61:[35, 81, 10, 97], Operations: []
Exploring Operation: 81-35=46, Resulting Numbers: [10, 97, 46]
Generated Node #2: [10, 97, 46] from Operation: 81-35=46
Current State: 61:[10, 97, 46], Operations: ['81-35=46']
Exploring Operation: 10+97=107, Resulting Numbers: [46, 107]
Generated Node #3: [46, 107] from Operation: 10+97=107
Current State: 61:[46, 107], Operations: ['81-35=46', '10+97=107']
Exploring Operation: 107-46=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
10,
44,
3,
46
] | 15 | [
"44-10=34",
"3+46=49",
"49-34=15"
] | Current State: 15:[10, 44, 3, 46], Operations: []
Exploring Operation: 44-10=34, Resulting Numbers: [3, 46, 34]
Generated Node #2: [3, 46, 34] from Operation: 44-10=34
Current State: 15:[3, 46, 34], Operations: ['44-10=34']
Exploring Operation: 3+46=49, Resulting Numbers: [34, 49]
Generated Node #3: [34, 49] from Operation: 3+46=49
Current State: 15:[34, 49], Operations: ['44-10=34', '3+46=49']
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
98,
55,
5,
17
] | 12 | [
"98-55=43",
"17+43=60",
"60/5=12"
] | Current State: 12:[98, 55, 5, 17], Operations: []
Exploring Operation: 98-55=43, Resulting Numbers: [5, 17, 43]
Generated Node #2: [5, 17, 43] from Operation: 98-55=43
Current State: 12:[5, 17, 43], Operations: ['98-55=43']
Exploring Operation: 17+43=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 17+43=60
Current State: 12:[5, 60], Operations: ['98-55=43', '17+43=60']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
70,
89,
36,
46
] | 63 | [
"89-70=19",
"36+46=82",
"82-19=63"
] | Current State: 63:[70, 89, 36, 46], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [36, 46, 19]
Generated Node #2: [36, 46, 19] from Operation: 89-70=19
Current State: 63:[36, 46, 19], Operations: ['89-70=19']
Exploring Operation: 36+46=82, Resulting Numbers: [19, 82]
Generated Node #3: [19, 82] from Operation: 36+46=82
Current State: 63:[19, 82], Operations: ['89-70=19', '36+46=82']
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
8,
27,
27,
92
] | 30 | [
"8+27=35",
"92-27=65",
"65-35=30"
] | Current State: 30:[8, 27, 27, 92], Operations: []
Exploring Operation: 8+27=35, Resulting Numbers: [92, 35]
Generated Node #2: [92, 35] from Operation: 8+27=35
Current State: 30:[92, 35], Operations: ['8+27=35']
Exploring Operation: 92-27=65, Resulting Numbers: [35, 65]
Generated Node #3: [35, 65] from Operation: 92-27=65
Current State: 30:[35, 65], Operations: ['8+27=35', '92-27=65']
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
14,
97,
32,
14
] | 64 | [
"14/14=1",
"97-32=65",
"65-1=64"
] | Current State: 64:[14, 97, 32, 14], Operations: []
Exploring Operation: 14/14=1, Resulting Numbers: [97, 32, 1]
Generated Node #2: [97, 32, 1] from Operation: 14/14=1
Current State: 64:[97, 32, 1], Operations: ['14/14=1']
Exploring Operation: 97-32=65, Resulting Numbers: [1, 65]
Generated Node #3: [1, 65] from Operation: 97-32=65
Current State: 64:[1, 65], Operations: ['14/14=1', '97-32=65']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
15,
23,
40,
42
] | 37 | [
"23-15=8",
"40/8=5",
"42-5=37"
] | Current State: 37:[15, 23, 40, 42], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [40, 42, 8]
Generated Node #2: [40, 42, 8] from Operation: 23-15=8
Current State: 37:[40, 42, 8], Operations: ['23-15=8']
Exploring Operation: 40/8=5, Resulting Numbers: [42, 5]
Generated Node #3: [42, 5] from Operation: 40/8=5
Current State: 37:[42, 5], Operations: ['23-15=8', '40/8=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
17,
41,
2,
32
] | 61 | [
"17+41=58",
"58/2=29",
"32+29=61"
] | Current State: 61:[17, 41, 2, 32], Operations: []
Exploring Operation: 17+41=58, Resulting Numbers: [2, 32, 58]
Generated Node #2: [2, 32, 58] from Operation: 17+41=58
Current State: 61:[2, 32, 58], Operations: ['17+41=58']
Exploring Operation: 58/2=29, Resulting Numbers: [32, 29]
Generated Node #3: [32, 29] from Operation: 58/2=29
Current State: 61:[32, 29], Operations: ['17+41=58', '58/2=29']
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
8,
51,
35,
39
] | 78 | [
"51-35=16",
"16/8=2",
"39*2=78"
] | Current State: 78:[8, 51, 35, 39], Operations: []
Exploring Operation: 51-35=16, Resulting Numbers: [8, 39, 16]
Generated Node #2: [8, 39, 16] from Operation: 51-35=16
Current State: 78:[8, 39, 16], Operations: ['51-35=16']
Exploring Operation: 16/8=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 16/8=2
Current State: 78:[39, 2], Operations: ['51-35=16', '16/8=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
31,
62,
49,
9
] | 67 | [
"62/31=2",
"9*2=18",
"49+18=67"
] | Current State: 67:[31, 62, 49, 9], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [49, 9, 2]
Generated Node #2: [49, 9, 2] from Operation: 62/31=2
Current State: 67:[49, 9, 2], Operations: ['62/31=2']
Exploring Operation: 9*2=18, Resulting Numbers: [49, 18]
Generated Node #3: [49, 18] from Operation: 9*2=18
Current State: 67:[49, 18], Operations: ['62/31=2', '9*2=18']
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
56,
84,
14,
70
] | 10 | [
"56*14=784",
"784-84=700",
"700/70=10"
] | Current State: 10:[56, 84, 14, 70], Operations: []
Exploring Operation: 56*14=784, Resulting Numbers: [84, 70, 784]
Generated Node #2: [84, 70, 784] from Operation: 56*14=784
Current State: 10:[84, 70, 784], Operations: ['56*14=784']
Exploring Operation: 784-84=700, Resulting Numbers: [70, 700]
Generated Node #3: [70, 700] from Operation: 784-84=700
Current State: 10:[70, 700], Operations: ['56*14=784', '784-84=700']
Exploring Operation: 700/70=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
2,
71,
39,
45
] | 68 | [
"45-39=6",
"6/2=3",
"71-3=68"
] | Current State: 68:[2, 71, 39, 45], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [2, 71, 6]
Generated Node #2: [2, 71, 6] from Operation: 45-39=6
Current State: 68:[2, 71, 6], Operations: ['45-39=6']
Exploring Operation: 6/2=3, Resulting Numbers: [71, 3]
Generated Node #3: [71, 3] from Operation: 6/2=3
Current State: 68:[71, 3], Operations: ['45-39=6', '6/2=3']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
61,
3,
93,
55
] | 53 | [
"93-55=38",
"3*38=114",
"114-61=53"
] | Current State: 53:[61, 3, 93, 55], Operations: []
Exploring Operation: 93-55=38, Resulting Numbers: [61, 3, 38]
Generated Node #2: [61, 3, 38] from Operation: 93-55=38
Current State: 53:[61, 3, 38], Operations: ['93-55=38']
Exploring Operation: 3*38=114, Resulting Numbers: [61, 114]
Generated Node #3: [61, 114] from Operation: 3*38=114
Current State: 53:[61, 114], Operations: ['93-55=38', '3*38=114']
Exploring Operation: 114-61=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
28,
38,
19,
3
] | 78 | [
"38/19=2",
"28-2=26",
"3*26=78"
] | Current State: 78:[28, 38, 19, 3], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [28, 3, 2]
Generated Node #2: [28, 3, 2] from Operation: 38/19=2
Current State: 78:[28, 3, 2], Operations: ['38/19=2']
Exploring Operation: 28-2=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 28-2=26
Current State: 78:[3, 26], Operations: ['38/19=2', '28-2=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
29,
39,
88,
56
] | 76 | [
"29+39=68",
"88+56=144",
"144-68=76"
] | Current State: 76:[29, 39, 88, 56], Operations: []
Exploring Operation: 29+39=68, Resulting Numbers: [88, 56, 68]
Generated Node #2: [88, 56, 68] from Operation: 29+39=68
Current State: 76:[88, 56, 68], Operations: ['29+39=68']
Exploring Operation: 88+56=144, Resulting Numbers: [68, 144]
Generated Node #3: [68, 144] from Operation: 88+56=144
Current State: 76:[68, 144], Operations: ['29+39=68', '88+56=144']
Exploring Operation: 144-68=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
25,
57,
63,
44
] | 13 | [
"57-25=32",
"63-44=19",
"32-19=13"
] | Current State: 13:[25, 57, 63, 44], Operations: []
Exploring Operation: 57-25=32, Resulting Numbers: [63, 44, 32]
Generated Node #2: [63, 44, 32] from Operation: 57-25=32
Current State: 13:[63, 44, 32], Operations: ['57-25=32']
Exploring Operation: 63-44=19, Resulting Numbers: [32, 19]
Generated Node #3: [32, 19] from Operation: 63-44=19
Current State: 13:[32, 19], Operations: ['57-25=32', '63-44=19']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
73,
18,
94,
23
] | 69 | [
"73+18=91",
"94-91=3",
"23*3=69"
] | Current State: 69:[73, 18, 94, 23], Operations: []
Exploring Operation: 73+18=91, Resulting Numbers: [94, 23, 91]
Generated Node #2: [94, 23, 91] from Operation: 73+18=91
Current State: 69:[94, 23, 91], Operations: ['73+18=91']
Exploring Operation: 94-91=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 94-91=3
Current State: 69:[23, 3], Operations: ['73+18=91', '94-91=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
34,
59,
8,
61
] | 84 | [
"34+8=42",
"61-59=2",
"42*2=84"
] | Current State: 84:[34, 59, 8, 61], Operations: []
Exploring Operation: 34+8=42, Resulting Numbers: [59, 61, 42]
Generated Node #2: [59, 61, 42] from Operation: 34+8=42
Current State: 84:[59, 61, 42], Operations: ['34+8=42']
Exploring Operation: 61-59=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 61-59=2
Current State: 84:[42, 2], Operations: ['34+8=42', '61-59=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
10,
8,
48,
16
] | 22 | [
"10*48=480",
"480/16=30",
"30-8=22"
] | Current State: 22:[10, 8, 48, 16], Operations: []
Exploring Operation: 10*48=480, Resulting Numbers: [8, 16, 480]
Generated Node #2: [8, 16, 480] from Operation: 10*48=480
Current State: 22:[8, 16, 480], Operations: ['10*48=480']
Exploring Operation: 480/16=30, Resulting Numbers: [8, 30]
Generated Node #3: [8, 30] from Operation: 480/16=30
Current State: 22:[8, 30], Operations: ['10*48=480', '480/16=30']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
30,
40,
30,
42
] | 83 | [
"30/30=1",
"40+42=82",
"1+82=83"
] | Current State: 83:[30, 40, 30, 42], Operations: []
Exploring Operation: 30/30=1, Resulting Numbers: [40, 42, 1]
Generated Node #2: [40, 42, 1] from Operation: 30/30=1
Current State: 83:[40, 42, 1], Operations: ['30/30=1']
Exploring Operation: 40+42=82, Resulting Numbers: [1, 82]
Generated Node #3: [1, 82] from Operation: 40+42=82
Current State: 83:[1, 82], Operations: ['30/30=1', '40+42=82']
Exploring Operation: 1+82=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
29,
12,
84,
42
] | 19 | [
"29-12=17",
"84/42=2",
"17+2=19"
] | Current State: 19:[29, 12, 84, 42], Operations: []
Exploring Operation: 29-12=17, Resulting Numbers: [84, 42, 17]
Generated Node #2: [84, 42, 17] from Operation: 29-12=17
Current State: 19:[84, 42, 17], Operations: ['29-12=17']
Exploring Operation: 84/42=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 84/42=2
Current State: 19:[17, 2], Operations: ['29-12=17', '84/42=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
44,
11,
2,
41
] | 27 | [
"44+11=55",
"2*41=82",
"82-55=27"
] | Current State: 27:[44, 11, 2, 41], Operations: []
Exploring Operation: 44+11=55, Resulting Numbers: [2, 41, 55]
Generated Node #2: [2, 41, 55] from Operation: 44+11=55
Current State: 27:[2, 41, 55], Operations: ['44+11=55']
Exploring Operation: 2*41=82, Resulting Numbers: [55, 82]
Generated Node #3: [55, 82] from Operation: 2*41=82
Current State: 27:[55, 82], Operations: ['44+11=55', '2*41=82']
Exploring Operation: 82-55=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
80,
42,
3,
49
] | 57 | [
"80+42=122",
"49+122=171",
"171/3=57"
] | Current State: 57:[80, 42, 3, 49], Operations: []
Exploring Operation: 80+42=122, Resulting Numbers: [3, 49, 122]
Generated Node #2: [3, 49, 122] from Operation: 80+42=122
Current State: 57:[3, 49, 122], Operations: ['80+42=122']
Exploring Operation: 49+122=171, Resulting Numbers: [3, 171]
Generated Node #3: [3, 171] from Operation: 49+122=171
Current State: 57:[3, 171], Operations: ['80+42=122', '49+122=171']
Exploring Operation: 171/3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
97,
57,
43,
5
] | 27 | [
"57-43=14",
"5*14=70",
"97-70=27"
] | Current State: 27:[97, 57, 43, 5], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [97, 5, 14]
Generated Node #2: [97, 5, 14] from Operation: 57-43=14
Current State: 27:[97, 5, 14], Operations: ['57-43=14']
Exploring Operation: 5*14=70, Resulting Numbers: [97, 70]
Generated Node #3: [97, 70] from Operation: 5*14=70
Current State: 27:[97, 70], Operations: ['57-43=14', '5*14=70']
Exploring Operation: 97-70=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
16,
23,
54,
80
] | 82 | [
"80/16=5",
"23+54=77",
"5+77=82"
] | Current State: 82:[16, 23, 54, 80], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [23, 54, 5]
Generated Node #2: [23, 54, 5] from Operation: 80/16=5
Current State: 82:[23, 54, 5], Operations: ['80/16=5']
Exploring Operation: 23+54=77, Resulting Numbers: [5, 77]
Generated Node #3: [5, 77] from Operation: 23+54=77
Current State: 82:[5, 77], Operations: ['80/16=5', '23+54=77']
Exploring Operation: 5+77=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
60,
49,
2,
11
] | 87 | [
"60+49=109",
"2*11=22",
"109-22=87"
] | Current State: 87:[60, 49, 2, 11], Operations: []
Exploring Operation: 60+49=109, Resulting Numbers: [2, 11, 109]
Generated Node #2: [2, 11, 109] from Operation: 60+49=109
Current State: 87:[2, 11, 109], Operations: ['60+49=109']
Exploring Operation: 2*11=22, Resulting Numbers: [109, 22]
Generated Node #3: [109, 22] from Operation: 2*11=22
Current State: 87:[109, 22], Operations: ['60+49=109', '2*11=22']
Exploring Operation: 109-22=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
1,
6,
36,
36
] | 42 | [
"1*6=6",
"36/6=6",
"36+6=42"
] | Current State: 42:[1, 6, 36, 36], Operations: []
Exploring Operation: 1*6=6, Resulting Numbers: [36, 36, 6]
Generated Node #2: [36, 36, 6] from Operation: 1*6=6
Current State: 42:[36, 36, 6], Operations: ['1*6=6']
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,42 equal: Goal Reached
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
73,
31,
81,
86
] | 29 | [
"73*31=2263",
"86+2263=2349",
"2349/81=29"
] | Current State: 29:[73, 31, 81, 86], Operations: []
Exploring Operation: 73*31=2263, Resulting Numbers: [81, 86, 2263]
Generated Node #2: [81, 86, 2263] from Operation: 73*31=2263
Current State: 29:[81, 86, 2263], Operations: ['73*31=2263']
Exploring Operation: 86+2263=2349, Resulting Numbers: [81, 2349]
Generated Node #3: [81, 2349] from Operation: 86+2263=2349
Current State: 29:[81, 2349], Operations: ['73*31=2263', '86+2263=2349']
Exploring Operation: 2349/81=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
97,
18,
43,
49
] | 94 | [
"49-43=6",
"18/6=3",
"97-3=94"
] | Current State: 94:[97, 18, 43, 49], Operations: []
Exploring Operation: 49-43=6, Resulting Numbers: [97, 18, 6]
Generated Node #2: [97, 18, 6] from Operation: 49-43=6
Current State: 94:[97, 18, 6], Operations: ['49-43=6']
Exploring Operation: 18/6=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 18/6=3
Current State: 94:[97, 3], Operations: ['49-43=6', '18/6=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
87,
47,
9,
55
] | 70 | [
"87+47=134",
"9+55=64",
"134-64=70"
] | Current State: 70:[87, 47, 9, 55], Operations: []
Exploring Operation: 87+47=134, Resulting Numbers: [9, 55, 134]
Generated Node #2: [9, 55, 134] from Operation: 87+47=134
Current State: 70:[9, 55, 134], Operations: ['87+47=134']
Exploring Operation: 9+55=64, Resulting Numbers: [134, 64]
Generated Node #3: [134, 64] from Operation: 9+55=64
Current State: 70:[134, 64], Operations: ['87+47=134', '9+55=64']
Exploring Operation: 134-64=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
11,
45,
72,
29
] | 45 | [
"11+45=56",
"72+29=101",
"101-56=45"
] | Current State: 45:[11, 45, 72, 29], Operations: []
Exploring Operation: 11+45=56, Resulting Numbers: [72, 29, 56]
Generated Node #2: [72, 29, 56] from Operation: 11+45=56
Current State: 45:[72, 29, 56], Operations: ['11+45=56']
Exploring Operation: 72+29=101, Resulting Numbers: [56, 101]
Generated Node #3: [56, 101] from Operation: 72+29=101
Current State: 45:[56, 101], Operations: ['11+45=56', '72+29=101']
Exploring Operation: 101-56=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
51,
13,
91,
26
] | 22 | [
"51*13=663",
"663-91=572",
"572/26=22"
] | Current State: 22:[51, 13, 91, 26], Operations: []
Exploring Operation: 51*13=663, Resulting Numbers: [91, 26, 663]
Generated Node #2: [91, 26, 663] from Operation: 51*13=663
Current State: 22:[91, 26, 663], Operations: ['51*13=663']
Exploring Operation: 663-91=572, Resulting Numbers: [26, 572]
Generated Node #3: [26, 572] from Operation: 663-91=572
Current State: 22:[26, 572], Operations: ['51*13=663', '663-91=572']
Exploring Operation: 572/26=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
70,
44,
56,
25
] | 64 | [
"56*25=1400",
"1400/70=20",
"44+20=64"
] | Current State: 64:[70, 44, 56, 25], Operations: []
Exploring Operation: 56*25=1400, Resulting Numbers: [70, 44, 1400]
Generated Node #2: [70, 44, 1400] from Operation: 56*25=1400
Current State: 64:[70, 44, 1400], Operations: ['56*25=1400']
Exploring Operation: 1400/70=20, Resulting Numbers: [44, 20]
Generated Node #3: [44, 20] from Operation: 1400/70=20
Current State: 64:[44, 20], Operations: ['56*25=1400', '1400/70=20']
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
97,
60,
89,
45
] | 81 | [
"97-60=37",
"89-45=44",
"37+44=81"
] | Current State: 81:[97, 60, 89, 45], Operations: []
Exploring Operation: 97-60=37, Resulting Numbers: [89, 45, 37]
Generated Node #2: [89, 45, 37] from Operation: 97-60=37
Current State: 81:[89, 45, 37], Operations: ['97-60=37']
Exploring Operation: 89-45=44, Resulting Numbers: [37, 44]
Generated Node #3: [37, 44] from Operation: 89-45=44
Current State: 81:[37, 44], Operations: ['97-60=37', '89-45=44']
Exploring Operation: 37+44=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
56,
5,
32,
62
] | 30 | [
"56+32=88",
"62+88=150",
"150/5=30"
] | Current State: 30:[56, 5, 32, 62], Operations: []
Exploring Operation: 56+32=88, Resulting Numbers: [5, 62, 88]
Generated Node #2: [5, 62, 88] from Operation: 56+32=88
Current State: 30:[5, 62, 88], Operations: ['56+32=88']
Exploring Operation: 62+88=150, Resulting Numbers: [5, 150]
Generated Node #3: [5, 150] from Operation: 62+88=150
Current State: 30:[5, 150], Operations: ['56+32=88', '62+88=150']
Exploring Operation: 150/5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
16,
49,
41,
67
] | 43 | [
"16+49=65",
"41+67=108",
"108-65=43"
] | Current State: 43:[16, 49, 41, 67], Operations: []
Exploring Operation: 16+49=65, Resulting Numbers: [41, 67, 65]
Generated Node #2: [41, 67, 65] from Operation: 16+49=65
Current State: 43:[41, 67, 65], Operations: ['16+49=65']
Exploring Operation: 41+67=108, Resulting Numbers: [65, 108]
Generated Node #3: [65, 108] from Operation: 41+67=108
Current State: 43:[65, 108], Operations: ['16+49=65', '41+67=108']
Exploring Operation: 108-65=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
36,
17,
68,
21
] | 77 | [
"21-17=4",
"36/4=9",
"68+9=77"
] | Current State: 77:[36, 17, 68, 21], Operations: []
Exploring Operation: 21-17=4, Resulting Numbers: [36, 68, 4]
Generated Node #2: [36, 68, 4] from Operation: 21-17=4
Current State: 77:[36, 68, 4], Operations: ['21-17=4']
Exploring Operation: 36/4=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 36/4=9
Current State: 77:[68, 9], Operations: ['21-17=4', '36/4=9']
Exploring Operation: 68+9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
45,
36,
8,
35
] | 54 | [
"45+36=81",
"35-8=27",
"81-27=54"
] | Current State: 54:[45, 36, 8, 35], Operations: []
Exploring Operation: 45+36=81, Resulting Numbers: [8, 35, 81]
Generated Node #2: [8, 35, 81] from Operation: 45+36=81
Current State: 54:[8, 35, 81], Operations: ['45+36=81']
Exploring Operation: 35-8=27, Resulting Numbers: [81, 27]
Generated Node #3: [81, 27] from Operation: 35-8=27
Current State: 54:[81, 27], Operations: ['45+36=81', '35-8=27']
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
41,
55,
70,
82
] | 13 | [
"82/41=2",
"70-55=15",
"15-2=13"
] | Current State: 13:[41, 55, 70, 82], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [55, 70, 2]
Generated Node #2: [55, 70, 2] from Operation: 82/41=2
Current State: 13:[55, 70, 2], Operations: ['82/41=2']
Exploring Operation: 70-55=15, Resulting Numbers: [2, 15]
Generated Node #3: [2, 15] from Operation: 70-55=15
Current State: 13:[2, 15], Operations: ['82/41=2', '70-55=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
33,
82,
97,
31
] | 79 | [
"82-33=49",
"97+31=128",
"128-49=79"
] | Current State: 79:[33, 82, 97, 31], Operations: []
Exploring Operation: 82-33=49, Resulting Numbers: [97, 31, 49]
Generated Node #2: [97, 31, 49] from Operation: 82-33=49
Current State: 79:[97, 31, 49], Operations: ['82-33=49']
Exploring Operation: 97+31=128, Resulting Numbers: [49, 128]
Generated Node #3: [49, 128] from Operation: 97+31=128
Current State: 79:[49, 128], Operations: ['82-33=49', '97+31=128']
Exploring Operation: 128-49=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
69,
93,
40,
89
] | 95 | [
"89-69=20",
"40/20=2",
"93+2=95"
] | Current State: 95:[69, 93, 40, 89], Operations: []
Exploring Operation: 89-69=20, Resulting Numbers: [93, 40, 20]
Generated Node #2: [93, 40, 20] from Operation: 89-69=20
Current State: 95:[93, 40, 20], Operations: ['89-69=20']
Exploring Operation: 40/20=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 40/20=2
Current State: 95:[93, 2], Operations: ['89-69=20', '40/20=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
69,
30,
62,
76
] | 99 | [
"69-30=39",
"62+76=138",
"138-39=99"
] | Current State: 99:[69, 30, 62, 76], Operations: []
Exploring Operation: 69-30=39, Resulting Numbers: [62, 76, 39]
Generated Node #2: [62, 76, 39] from Operation: 69-30=39
Current State: 99:[62, 76, 39], Operations: ['69-30=39']
Exploring Operation: 62+76=138, Resulting Numbers: [39, 138]
Generated Node #3: [39, 138] from Operation: 62+76=138
Current State: 99:[39, 138], Operations: ['69-30=39', '62+76=138']
Exploring Operation: 138-39=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
21,
58,
80,
69
] | 48 | [
"58-21=37",
"80-69=11",
"37+11=48"
] | Current State: 48:[21, 58, 80, 69], Operations: []
Exploring Operation: 58-21=37, Resulting Numbers: [80, 69, 37]
Generated Node #2: [80, 69, 37] from Operation: 58-21=37
Current State: 48:[80, 69, 37], Operations: ['58-21=37']
Exploring Operation: 80-69=11, Resulting Numbers: [37, 11]
Generated Node #3: [37, 11] from Operation: 80-69=11
Current State: 48:[37, 11], Operations: ['58-21=37', '80-69=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
1,
36,
80,
32
] | 20 | [
"1*36=36",
"36-32=4",
"80/4=20"
] | Current State: 20:[1, 36, 80, 32], Operations: []
Exploring Operation: 1*36=36, Resulting Numbers: [80, 32, 36]
Generated Node #2: [80, 32, 36] from Operation: 1*36=36
Current State: 20:[80, 32, 36], Operations: ['1*36=36']
Exploring Operation: 36-32=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 36-32=4
Current State: 20:[80, 4], Operations: ['1*36=36', '36-32=4']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
17,
57,
58,
21
] | 75 | [
"58*21=1218",
"57+1218=1275",
"1275/17=75"
] | Current State: 75:[17, 57, 58, 21], Operations: []
Exploring Operation: 58*21=1218, Resulting Numbers: [17, 57, 1218]
Generated Node #2: [17, 57, 1218] from Operation: 58*21=1218
Current State: 75:[17, 57, 1218], Operations: ['58*21=1218']
Exploring Operation: 57+1218=1275, Resulting Numbers: [17, 1275]
Generated Node #3: [17, 1275] from Operation: 57+1218=1275
Current State: 75:[17, 1275], Operations: ['58*21=1218', '57+1218=1275']
Exploring Operation: 1275/17=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
4,
76,
90,
36
] | 86 | [
"4*90=360",
"360/36=10",
"76+10=86"
] | Current State: 86:[4, 76, 90, 36], Operations: []
Exploring Operation: 4*90=360, Resulting Numbers: [76, 36, 360]
Generated Node #2: [76, 36, 360] from Operation: 4*90=360
Current State: 86:[76, 36, 360], Operations: ['4*90=360']
Exploring Operation: 360/36=10, Resulting Numbers: [76, 10]
Generated Node #3: [76, 10] from Operation: 360/36=10
Current State: 86:[76, 10], Operations: ['4*90=360', '360/36=10']
Exploring Operation: 76+10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
38,
4,
49,
5
] | 49 | [
"49-38=11",
"4*11=44",
"5+44=49"
] | Current State: 49:[38, 4, 49, 5], Operations: []
Exploring Operation: 49-38=11, Resulting Numbers: [4, 5, 11]
Generated Node #2: [4, 5, 11] from Operation: 49-38=11
Current State: 49:[4, 5, 11], Operations: ['49-38=11']
Exploring Operation: 4*11=44, Resulting Numbers: [5, 44]
Generated Node #3: [5, 44] from Operation: 4*11=44
Current State: 49:[5, 44], Operations: ['49-38=11', '4*11=44']
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
35,
35,
59,
15
] | 59 | [
"35-35=0",
"15*0=0",
"59+0=59"
] | Current State: 59:[35, 35, 59, 15], Operations: []
Exploring Operation: 35-35=0, Resulting Numbers: [59, 15, 0]
Generated Node #2: [59, 15, 0] from Operation: 35-35=0
Current State: 59:[59, 15, 0], Operations: ['35-35=0']
Exploring Operation: 15*0=0, Resulting Numbers: [59, 0]
Generated Node #3: [59, 0] from Operation: 15*0=0
Current State: 59:[59, 0], Operations: ['35-35=0', '15*0=0']
Exploring Operation: 59+0=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
32,
12,
26,
36
] | 61 | [
"32+26=58",
"36/12=3",
"58+3=61"
] | Current State: 61:[32, 12, 26, 36], Operations: []
Exploring Operation: 32+26=58, Resulting Numbers: [12, 36, 58]
Generated Node #2: [12, 36, 58] from Operation: 32+26=58
Current State: 61:[12, 36, 58], Operations: ['32+26=58']
Exploring Operation: 36/12=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 36/12=3
Current State: 61:[58, 3], Operations: ['32+26=58', '36/12=3']
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
5,
59,
29,
79
] | 33 | [
"79-59=20",
"20/5=4",
"29+4=33"
] | Current State: 33:[5, 59, 29, 79], Operations: []
Exploring Operation: 79-59=20, Resulting Numbers: [5, 29, 20]
Generated Node #2: [5, 29, 20] from Operation: 79-59=20
Current State: 33:[5, 29, 20], Operations: ['79-59=20']
Exploring Operation: 20/5=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 20/5=4
Current State: 33:[29, 4], Operations: ['79-59=20', '20/5=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
14,
35,
2,
15
] | 93 | [
"14+15=29",
"2*29=58",
"35+58=93"
] | Current State: 93:[14, 35, 2, 15], Operations: []
Exploring Operation: 14+15=29, Resulting Numbers: [35, 2, 29]
Generated Node #2: [35, 2, 29] from Operation: 14+15=29
Current State: 93:[35, 2, 29], Operations: ['14+15=29']
Exploring Operation: 2*29=58, Resulting Numbers: [35, 58]
Generated Node #3: [35, 58] from Operation: 2*29=58
Current State: 93:[35, 58], Operations: ['14+15=29', '2*29=58']
Exploring Operation: 35+58=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
56,
42,
63,
99
] | 10 | [
"42*99=4158",
"4158/63=66",
"66-56=10"
] | Current State: 10:[56, 42, 63, 99], Operations: []
Exploring Operation: 42*99=4158, Resulting Numbers: [56, 63, 4158]
Generated Node #2: [56, 63, 4158] from Operation: 42*99=4158
Current State: 10:[56, 63, 4158], Operations: ['42*99=4158']
Exploring Operation: 4158/63=66, Resulting Numbers: [56, 66]
Generated Node #3: [56, 66] from Operation: 4158/63=66
Current State: 10:[56, 66], Operations: ['42*99=4158', '4158/63=66']
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
16,
33,
63,
2
] | 78 | [
"33-16=17",
"63-2=61",
"17+61=78"
] | Current State: 78:[16, 33, 63, 2], Operations: []
Exploring Operation: 33-16=17, Resulting Numbers: [63, 2, 17]
Generated Node #2: [63, 2, 17] from Operation: 33-16=17
Current State: 78:[63, 2, 17], Operations: ['33-16=17']
Exploring Operation: 63-2=61, Resulting Numbers: [17, 61]
Generated Node #3: [17, 61] from Operation: 63-2=61
Current State: 78:[17, 61], Operations: ['33-16=17', '63-2=61']
Exploring Operation: 17+61=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
16,
10,
25,
61
] | 18 | [
"61-16=45",
"10*45=450",
"450/25=18"
] | Current State: 18:[16, 10, 25, 61], Operations: []
Exploring Operation: 61-16=45, Resulting Numbers: [10, 25, 45]
Generated Node #2: [10, 25, 45] from Operation: 61-16=45
Current State: 18:[10, 25, 45], Operations: ['61-16=45']
Exploring Operation: 10*45=450, Resulting Numbers: [25, 450]
Generated Node #3: [25, 450] from Operation: 10*45=450
Current State: 18:[25, 450], Operations: ['61-16=45', '10*45=450']
Exploring Operation: 450/25=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
42,
64,
2,
1
] | 25 | [
"64-42=22",
"2+1=3",
"22+3=25"
] | Current State: 25:[42, 64, 2, 1], Operations: []
Exploring Operation: 64-42=22, Resulting Numbers: [2, 1, 22]
Generated Node #2: [2, 1, 22] from Operation: 64-42=22
Current State: 25:[2, 1, 22], Operations: ['64-42=22']
Exploring Operation: 2+1=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 2+1=3
Current State: 25:[22, 3], Operations: ['64-42=22', '2+1=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
82,
17,
84,
16
] | 66 | [
"84-82=2",
"17+16=33",
"2*33=66"
] | Current State: 66:[82, 17, 84, 16], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [17, 16, 2]
Generated Node #2: [17, 16, 2] from Operation: 84-82=2
Current State: 66:[17, 16, 2], Operations: ['84-82=2']
Exploring Operation: 17+16=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 17+16=33
Current State: 66:[2, 33], Operations: ['84-82=2', '17+16=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
62,
60,
27,
77
] | 31 | [
"77-62=15",
"60/15=4",
"27+4=31"
] | Current State: 31:[62, 60, 27, 77], Operations: []
Exploring Operation: 77-62=15, Resulting Numbers: [60, 27, 15]
Generated Node #2: [60, 27, 15] from Operation: 77-62=15
Current State: 31:[60, 27, 15], Operations: ['77-62=15']
Exploring Operation: 60/15=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 60/15=4
Current State: 31:[27, 4], Operations: ['77-62=15', '60/15=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
55,
2,
94,
89
] | 25 | [
"94-55=39",
"89-39=50",
"50/2=25"
] | Current State: 25:[55, 2, 94, 89], Operations: []
Exploring Operation: 94-55=39, Resulting Numbers: [2, 89, 39]
Generated Node #2: [2, 89, 39] from Operation: 94-55=39
Current State: 25:[2, 89, 39], Operations: ['94-55=39']
Exploring Operation: 89-39=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 89-39=50
Current State: 25:[2, 50], Operations: ['94-55=39', '89-39=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
2,
70,
30,
20
] | 42 | [
"20-2=18",
"70*18=1260",
"1260/30=42"
] | Current State: 42:[2, 70, 30, 20], Operations: []
Exploring Operation: 20-2=18, Resulting Numbers: [70, 30, 18]
Generated Node #2: [70, 30, 18] from Operation: 20-2=18
Current State: 42:[70, 30, 18], Operations: ['20-2=18']
Exploring Operation: 70*18=1260, Resulting Numbers: [30, 1260]
Generated Node #3: [30, 1260] from Operation: 70*18=1260
Current State: 42:[30, 1260], Operations: ['20-2=18', '70*18=1260']
Exploring Operation: 1260/30=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
28,
96,
61,
7
] | 14 | [
"96-28=68",
"61-7=54",
"68-54=14"
] | Current State: 14:[28, 96, 61, 7], Operations: []
Exploring Operation: 96-28=68, Resulting Numbers: [61, 7, 68]
Generated Node #2: [61, 7, 68] from Operation: 96-28=68
Current State: 14:[61, 7, 68], Operations: ['96-28=68']
Exploring Operation: 61-7=54, Resulting Numbers: [68, 54]
Generated Node #3: [68, 54] from Operation: 61-7=54
Current State: 14:[68, 54], Operations: ['96-28=68', '61-7=54']
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
49,
31,
69,
87
] | 36 | [
"49-31=18",
"87-69=18",
"18+18=36"
] | Current State: 36:[49, 31, 69, 87], Operations: []
Exploring Operation: 49-31=18, Resulting Numbers: [69, 87, 18]
Generated Node #2: [69, 87, 18] from Operation: 49-31=18
Current State: 36:[69, 87, 18], Operations: ['49-31=18']
Exploring Operation: 87-69=18, Resulting Numbers: [18, 18]
Generated Node #3: [18, 18] from Operation: 87-69=18
Current State: 36:[18, 18], Operations: ['49-31=18', '87-69=18']
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
36,
86,
4,
30
] | 20 | [
"86-36=50",
"30+50=80",
"80/4=20"
] | Current State: 20:[36, 86, 4, 30], Operations: []
Exploring Operation: 86-36=50, Resulting Numbers: [4, 30, 50]
Generated Node #2: [4, 30, 50] from Operation: 86-36=50
Current State: 20:[4, 30, 50], Operations: ['86-36=50']
Exploring Operation: 30+50=80, Resulting Numbers: [4, 80]
Generated Node #3: [4, 80] from Operation: 30+50=80
Current State: 20:[4, 80], Operations: ['86-36=50', '30+50=80']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
81,
7,
96,
10
] | 18 | [
"81+7=88",
"96+10=106",
"106-88=18"
] | Current State: 18:[81, 7, 96, 10], Operations: []
Exploring Operation: 81+7=88, Resulting Numbers: [96, 10, 88]
Generated Node #2: [96, 10, 88] from Operation: 81+7=88
Current State: 18:[96, 10, 88], Operations: ['81+7=88']
Exploring Operation: 96+10=106, Resulting Numbers: [88, 106]
Generated Node #3: [88, 106] from Operation: 96+10=106
Current State: 18:[88, 106], Operations: ['81+7=88', '96+10=106']
Exploring Operation: 106-88=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
83,
60,
3,
7
] | 56 | [
"83-7=76",
"60/3=20",
"76-20=56"
] | Current State: 56:[83, 60, 3, 7], Operations: []
Exploring Operation: 83-7=76, Resulting Numbers: [60, 3, 76]
Generated Node #2: [60, 3, 76] from Operation: 83-7=76
Current State: 56:[60, 3, 76], Operations: ['83-7=76']
Exploring Operation: 60/3=20, Resulting Numbers: [76, 20]
Generated Node #3: [76, 20] from Operation: 60/3=20
Current State: 56:[76, 20], Operations: ['83-7=76', '60/3=20']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
94,
28,
92,
85
] | 55 | [
"94+28=122",
"92+85=177",
"177-122=55"
] | Current State: 55:[94, 28, 92, 85], Operations: []
Exploring Operation: 94+28=122, Resulting Numbers: [92, 85, 122]
Generated Node #2: [92, 85, 122] from Operation: 94+28=122
Current State: 55:[92, 85, 122], Operations: ['94+28=122']
Exploring Operation: 92+85=177, Resulting Numbers: [122, 177]
Generated Node #3: [122, 177] from Operation: 92+85=177
Current State: 55:[122, 177], Operations: ['94+28=122', '92+85=177']
Exploring Operation: 177-122=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
51,
63,
19,
67
] | 98 | [
"63-51=12",
"19+67=86",
"12+86=98"
] | Current State: 98:[51, 63, 19, 67], Operations: []
Exploring Operation: 63-51=12, Resulting Numbers: [19, 67, 12]
Generated Node #2: [19, 67, 12] from Operation: 63-51=12
Current State: 98:[19, 67, 12], Operations: ['63-51=12']
Exploring Operation: 19+67=86, Resulting Numbers: [12, 86]
Generated Node #3: [12, 86] from Operation: 19+67=86
Current State: 98:[12, 86], Operations: ['63-51=12', '19+67=86']
Exploring Operation: 12+86=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
79,
36,
60,
27
] | 27 | [
"79*27=2133",
"36*60=2160",
"2160-2133=27"
] | Current State: 27:[79, 36, 60, 27], Operations: []
Exploring Operation: 79*27=2133, Resulting Numbers: [36, 60, 2133]
Generated Node #2: [36, 60, 2133] from Operation: 79*27=2133
Current State: 27:[36, 60, 2133], Operations: ['79*27=2133']
Exploring Operation: 36*60=2160, Resulting Numbers: [2133, 2160]
Generated Node #3: [2133, 2160] from Operation: 36*60=2160
Current State: 27:[2133, 2160], Operations: ['79*27=2133', '36*60=2160']
Exploring Operation: 2160-2133=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
70,
26,
46,
73
] | 23 | [
"70+26=96",
"46+73=119",
"119-96=23"
] | Current State: 23:[70, 26, 46, 73], Operations: []
Exploring Operation: 70+26=96, Resulting Numbers: [46, 73, 96]
Generated Node #2: [46, 73, 96] from Operation: 70+26=96
Current State: 23:[46, 73, 96], Operations: ['70+26=96']
Exploring Operation: 46+73=119, Resulting Numbers: [96, 119]
Generated Node #3: [96, 119] from Operation: 46+73=119
Current State: 23:[96, 119], Operations: ['70+26=96', '46+73=119']
Exploring Operation: 119-96=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
67,
47,
97,
1
] | 77 | [
"67-47=20",
"97*1=97",
"97-20=77"
] | Current State: 77:[67, 47, 97, 1], Operations: []
Exploring Operation: 67-47=20, Resulting Numbers: [97, 1, 20]
Generated Node #2: [97, 1, 20] from Operation: 67-47=20
Current State: 77:[97, 1, 20], Operations: ['67-47=20']
Exploring Operation: 97*1=97, Resulting Numbers: [20, 97]
Generated Node #3: [20, 97] from Operation: 97*1=97
Current State: 77:[20, 97], Operations: ['67-47=20', '97*1=97']
Exploring Operation: 97-20=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
48,
3,
55,
2
] | 82 | [
"48/2=24",
"3+55=58",
"24+58=82"
] | Current State: 82:[48, 3, 55, 2], Operations: []
Exploring Operation: 48/2=24, Resulting Numbers: [3, 55, 24]
Generated Node #2: [3, 55, 24] from Operation: 48/2=24
Current State: 82:[3, 55, 24], Operations: ['48/2=24']
Exploring Operation: 3+55=58, Resulting Numbers: [24, 58]
Generated Node #3: [24, 58] from Operation: 3+55=58
Current State: 82:[24, 58], Operations: ['48/2=24', '3+55=58']
Exploring Operation: 24+58=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
80,
10,
16,
35
] | 93 | [
"80/10=8",
"16*8=128",
"128-35=93"
] | Current State: 93:[80, 10, 16, 35], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [16, 35, 8]
Generated Node #2: [16, 35, 8] from Operation: 80/10=8
Current State: 93:[16, 35, 8], Operations: ['80/10=8']
Exploring Operation: 16*8=128, Resulting Numbers: [35, 128]
Generated Node #3: [35, 128] from Operation: 16*8=128
Current State: 93:[35, 128], Operations: ['80/10=8', '16*8=128']
Exploring Operation: 128-35=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
89,
42,
38,
88
] | 97 | [
"89-42=47",
"88-38=50",
"47+50=97"
] | Current State: 97:[89, 42, 38, 88], Operations: []
Exploring Operation: 89-42=47, Resulting Numbers: [38, 88, 47]
Generated Node #2: [38, 88, 47] from Operation: 89-42=47
Current State: 97:[38, 88, 47], Operations: ['89-42=47']
Exploring Operation: 88-38=50, Resulting Numbers: [47, 50]
Generated Node #3: [47, 50] from Operation: 88-38=50
Current State: 97:[47, 50], Operations: ['89-42=47', '88-38=50']
Exploring Operation: 47+50=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
14,
36,
10,
43
] | 38 | [
"14+36=50",
"50/10=5",
"43-5=38"
] | Current State: 38:[14, 36, 10, 43], Operations: []
Exploring Operation: 14+36=50, Resulting Numbers: [10, 43, 50]
Generated Node #2: [10, 43, 50] from Operation: 14+36=50
Current State: 38:[10, 43, 50], Operations: ['14+36=50']
Exploring Operation: 50/10=5, Resulting Numbers: [43, 5]
Generated Node #3: [43, 5] from Operation: 50/10=5
Current State: 38:[43, 5], Operations: ['14+36=50', '50/10=5']
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
5,
9,
94,
75
] | 41 | [
"75/5=15",
"9*15=135",
"135-94=41"
] | Current State: 41:[5, 9, 94, 75], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [9, 94, 15]
Generated Node #2: [9, 94, 15] from Operation: 75/5=15
Current State: 41:[9, 94, 15], Operations: ['75/5=15']
Exploring Operation: 9*15=135, Resulting Numbers: [94, 135]
Generated Node #3: [94, 135] from Operation: 9*15=135
Current State: 41:[94, 135], Operations: ['75/5=15', '9*15=135']
Exploring Operation: 135-94=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
98,
20,
15,
95
] | 93 | [
"95-20=75",
"75/15=5",
"98-5=93"
] | Current State: 93:[98, 20, 15, 95], Operations: []
Exploring Operation: 95-20=75, Resulting Numbers: [98, 15, 75]
Generated Node #2: [98, 15, 75] from Operation: 95-20=75
Current State: 93:[98, 15, 75], Operations: ['95-20=75']
Exploring Operation: 75/15=5, Resulting Numbers: [98, 5]
Generated Node #3: [98, 5] from Operation: 75/15=5
Current State: 93:[98, 5], Operations: ['95-20=75', '75/15=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
28,
58,
34,
96
] | 32 | [
"58-28=30",
"96-34=62",
"62-30=32"
] | Current State: 32:[28, 58, 34, 96], Operations: []
Exploring Operation: 58-28=30, Resulting Numbers: [34, 96, 30]
Generated Node #2: [34, 96, 30] from Operation: 58-28=30
Current State: 32:[34, 96, 30], Operations: ['58-28=30']
Exploring Operation: 96-34=62, Resulting Numbers: [30, 62]
Generated Node #3: [30, 62] from Operation: 96-34=62
Current State: 32:[30, 62], Operations: ['58-28=30', '96-34=62']
Exploring Operation: 62-30=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
54,
2,
69,
4
] | 24 | [
"54/2=27",
"69+27=96",
"96/4=24"
] | Current State: 24:[54, 2, 69, 4], Operations: []
Exploring Operation: 54/2=27, Resulting Numbers: [69, 4, 27]
Generated Node #2: [69, 4, 27] from Operation: 54/2=27
Current State: 24:[69, 4, 27], Operations: ['54/2=27']
Exploring Operation: 69+27=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 69+27=96
Current State: 24:[4, 96], Operations: ['54/2=27', '69+27=96']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
88,
55,
11,
44
] | 89 | [
"55-11=44",
"44/44=1",
"88+1=89"
] | Current State: 89:[88, 55, 11, 44], Operations: []
Exploring Operation: 55-11=44, Resulting Numbers: [88, 44, 44]
Generated Node #2: [88, 44, 44] from Operation: 55-11=44
Current State: 89:[88, 44, 44], Operations: ['55-11=44']
Exploring Operation: 44/44=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 44/44=1
Current State: 89:[88, 1], Operations: ['55-11=44', '44/44=1']
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
80,
17,
33,
20
] | 35 | [
"80*17=1360",
"1360/20=68",
"68-33=35"
] | Current State: 35:[80, 17, 33, 20], Operations: []
Exploring Operation: 80*17=1360, Resulting Numbers: [33, 20, 1360]
Generated Node #2: [33, 20, 1360] from Operation: 80*17=1360
Current State: 35:[33, 20, 1360], Operations: ['80*17=1360']
Exploring Operation: 1360/20=68, Resulting Numbers: [33, 68]
Generated Node #3: [33, 68] from Operation: 1360/20=68
Current State: 35:[33, 68], Operations: ['80*17=1360', '1360/20=68']
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
49,
84,
49,
49
] | 49 | [
"49-49=0",
"84*0=0",
"49+0=49"
] | Current State: 49:[49, 84, 49, 49], Operations: []
Exploring Operation: 49-49=0, Resulting Numbers: [84, 0]
Generated Node #2: [84, 0] from Operation: 49-49=0
Current State: 49:[84, 0], Operations: ['49-49=0']
Exploring Operation: 84*0=0, Resulting Numbers: [0]
0,49 equal: Goal Reached
Exploring Operation: 49+0=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
96,
30,
76,
34
] | 100 | [
"34-30=4",
"96/4=24",
"76+24=100"
] | Current State: 100:[96, 30, 76, 34], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [96, 76, 4]
Generated Node #2: [96, 76, 4] from Operation: 34-30=4
Current State: 100:[96, 76, 4], Operations: ['34-30=4']
Exploring Operation: 96/4=24, Resulting Numbers: [76, 24]
Generated Node #3: [76, 24] from Operation: 96/4=24
Current State: 100:[76, 24], Operations: ['34-30=4', '96/4=24']
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
92,
48,
52,
28
] | 99 | [
"52-48=4",
"28/4=7",
"92+7=99"
] | Current State: 99:[92, 48, 52, 28], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [92, 28, 4]
Generated Node #2: [92, 28, 4] from Operation: 52-48=4
Current State: 99:[92, 28, 4], Operations: ['52-48=4']
Exploring Operation: 28/4=7, Resulting Numbers: [92, 7]
Generated Node #3: [92, 7] from Operation: 28/4=7
Current State: 99:[92, 7], Operations: ['52-48=4', '28/4=7']
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
72,
48,
97,
91
] | 20 | [
"72+48=120",
"97-91=6",
"120/6=20"
] | Current State: 20:[72, 48, 97, 91], Operations: []
Exploring Operation: 72+48=120, Resulting Numbers: [97, 91, 120]
Generated Node #2: [97, 91, 120] from Operation: 72+48=120
Current State: 20:[97, 91, 120], Operations: ['72+48=120']
Exploring Operation: 97-91=6, Resulting Numbers: [120, 6]
Generated Node #3: [120, 6] from Operation: 97-91=6
Current State: 20:[120, 6], Operations: ['72+48=120', '97-91=6']
Exploring Operation: 120/6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
46,
32,
62,
44
] | 96 | [
"46+32=78",
"62-44=18",
"78+18=96"
] | Current State: 96:[46, 32, 62, 44], Operations: []
Exploring Operation: 46+32=78, Resulting Numbers: [62, 44, 78]
Generated Node #2: [62, 44, 78] from Operation: 46+32=78
Current State: 96:[62, 44, 78], Operations: ['46+32=78']
Exploring Operation: 62-44=18, Resulting Numbers: [78, 18]
Generated Node #3: [78, 18] from Operation: 62-44=18
Current State: 96:[78, 18], Operations: ['46+32=78', '62-44=18']
Exploring Operation: 78+18=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
17,
4,
6,
39
] | 20 | [
"17-4=13",
"39-6=33",
"33-13=20"
] | Current State: 20:[17, 4, 6, 39], Operations: []
Exploring Operation: 17-4=13, Resulting Numbers: [6, 39, 13]
Generated Node #2: [6, 39, 13] from Operation: 17-4=13
Current State: 20:[6, 39, 13], Operations: ['17-4=13']
Exploring Operation: 39-6=33, Resulting Numbers: [13, 33]
Generated Node #3: [13, 33] from Operation: 39-6=33
Current State: 20:[13, 33], Operations: ['17-4=13', '39-6=33']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
10,
5,
25,
13
] | 36 | [
"10/5=2",
"25+13=38",
"38-2=36"
] | Current State: 36:[10, 5, 25, 13], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [25, 13, 2]
Generated Node #2: [25, 13, 2] from Operation: 10/5=2
Current State: 36:[25, 13, 2], Operations: ['10/5=2']
Exploring Operation: 25+13=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 25+13=38
Current State: 36:[2, 38], Operations: ['10/5=2', '25+13=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
39,
93,
45,
96
] | 81 | [
"39+93=132",
"96-45=51",
"132-51=81"
] | Current State: 81:[39, 93, 45, 96], Operations: []
Exploring Operation: 39+93=132, Resulting Numbers: [45, 96, 132]
Generated Node #2: [45, 96, 132] from Operation: 39+93=132
Current State: 81:[45, 96, 132], Operations: ['39+93=132']
Exploring Operation: 96-45=51, Resulting Numbers: [132, 51]
Generated Node #3: [132, 51] from Operation: 96-45=51
Current State: 81:[132, 51], Operations: ['39+93=132', '96-45=51']
Exploring Operation: 132-51=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
70,
33,
4,
83
] | 65 | [
"70-33=37",
"4*37=148",
"148-83=65"
] | Current State: 65:[70, 33, 4, 83], Operations: []
Exploring Operation: 70-33=37, Resulting Numbers: [4, 83, 37]
Generated Node #2: [4, 83, 37] from Operation: 70-33=37
Current State: 65:[4, 83, 37], Operations: ['70-33=37']
Exploring Operation: 4*37=148, Resulting Numbers: [83, 148]
Generated Node #3: [83, 148] from Operation: 4*37=148
Current State: 65:[83, 148], Operations: ['70-33=37', '4*37=148']
Exploring Operation: 148-83=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
96,
84,
40,
79
] | 44 | [
"84*40=3360",
"3360/96=35",
"79-35=44"
] | Current State: 44:[96, 84, 40, 79], Operations: []
Exploring Operation: 84*40=3360, Resulting Numbers: [96, 79, 3360]
Generated Node #2: [96, 79, 3360] from Operation: 84*40=3360
Current State: 44:[96, 79, 3360], Operations: ['84*40=3360']
Exploring Operation: 3360/96=35, Resulting Numbers: [79, 35]
Generated Node #3: [79, 35] from Operation: 3360/96=35
Current State: 44:[79, 35], Operations: ['84*40=3360', '3360/96=35']
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
84,
4,
71,
42
] | 94 | [
"84-71=13",
"4*13=52",
"42+52=94"
] | Current State: 94:[84, 4, 71, 42], Operations: []
Exploring Operation: 84-71=13, Resulting Numbers: [4, 42, 13]
Generated Node #2: [4, 42, 13] from Operation: 84-71=13
Current State: 94:[4, 42, 13], Operations: ['84-71=13']
Exploring Operation: 4*13=52, Resulting Numbers: [42, 52]
Generated Node #3: [42, 52] from Operation: 4*13=52
Current State: 94:[42, 52], Operations: ['84-71=13', '4*13=52']
Exploring Operation: 42+52=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
1,
12,
67,
7
] | 65 | [
"7-1=6",
"12/6=2",
"67-2=65"
] | Current State: 65:[1, 12, 67, 7], Operations: []
Exploring Operation: 7-1=6, Resulting Numbers: [12, 67, 6]
Generated Node #2: [12, 67, 6] from Operation: 7-1=6
Current State: 65:[12, 67, 6], Operations: ['7-1=6']
Exploring Operation: 12/6=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 12/6=2
Current State: 65:[67, 2], Operations: ['7-1=6', '12/6=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.