nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
|---|---|---|---|---|
[
84,
70,
96,
56
] | 16
|
[
"70-56=14",
"84/14=6",
"96/6=16"
] |
Current State: 16:[84, 70, 96, 56], Operations: []
Exploring Operation: 70-56=14, Resulting Numbers: [84, 96, 14]
Generated Node #2: [84, 96, 14] from Operation: 70-56=14
Current State: 16:[84, 96, 14], Operations: ['70-56=14']
Exploring Operation: 84/14=6, Resulting Numbers: [96, 6]
Generated Node #3: [96, 6] from Operation: 84/14=6
Current State: 16:[96, 6], Operations: ['70-56=14', '84/14=6']
Exploring Operation: 96/6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
67,
28,
65,
61
] | 60
|
[
"65-61=4",
"28/4=7",
"67-7=60"
] |
Current State: 60:[67, 28, 65, 61], Operations: []
Exploring Operation: 65-61=4, Resulting Numbers: [67, 28, 4]
Generated Node #2: [67, 28, 4] from Operation: 65-61=4
Current State: 60:[67, 28, 4], Operations: ['65-61=4']
Exploring Operation: 28/4=7, Resulting Numbers: [67, 7]
Generated Node #3: [67, 7] from Operation: 28/4=7
Current State: 60:[67, 7], Operations: ['65-61=4', '28/4=7']
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
65,
55,
44,
39
] | 68
|
[
"44-39=5",
"65/5=13",
"55+13=68"
] |
Current State: 68:[65, 55, 44, 39], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [65, 55, 5]
Generated Node #2: [65, 55, 5] from Operation: 44-39=5
Current State: 68:[65, 55, 5], Operations: ['44-39=5']
Exploring Operation: 65/5=13, Resulting Numbers: [55, 13]
Generated Node #3: [55, 13] from Operation: 65/5=13
Current State: 68:[55, 13], Operations: ['44-39=5', '65/5=13']
Exploring Operation: 55+13=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
[
86,
99,
84,
70
] | 64
|
[
"86-84=2",
"70/2=35",
"99-35=64"
] |
Current State: 64:[86, 99, 84, 70], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [99, 70, 2]
Generated Node #2: [99, 70, 2] from Operation: 86-84=2
Current State: 64:[99, 70, 2], Operations: ['86-84=2']
Exploring Operation: 70/2=35, Resulting Numbers: [99, 35]
Generated Node #3: [99, 35] from Operation: 70/2=35
Current State: 64:[99, 35], Operations: ['86-84=2', '70/2=35']
Exploring Operation: 99-35=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
[
8,
47,
4,
76
] | 64
|
[
"76-8=68",
"68/4=17",
"47+17=64"
] |
Current State: 64:[8, 47, 4, 76], Operations: []
Exploring Operation: 76-8=68, Resulting Numbers: [47, 4, 68]
Generated Node #2: [47, 4, 68] from Operation: 76-8=68
Current State: 64:[47, 4, 68], Operations: ['76-8=68']
Exploring Operation: 68/4=17, Resulting Numbers: [47, 17]
Generated Node #3: [47, 17] from Operation: 68/4=17
Current State: 64:[47, 17], Operations: ['76-8=68', '68/4=17']
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
[
14,
28,
83,
63
] | 18
|
[
"28/14=2",
"83-63=20",
"20-2=18"
] |
Current State: 18:[14, 28, 83, 63], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [83, 63, 2]
Generated Node #2: [83, 63, 2] from Operation: 28/14=2
Current State: 18:[83, 63, 2], Operations: ['28/14=2']
Exploring Operation: 83-63=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 83-63=20
Current State: 18:[2, 20], Operations: ['28/14=2', '83-63=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
[
52,
16,
4,
58
] | 18
|
[
"52-16=36",
"58-4=54",
"54-36=18"
] |
Current State: 18:[52, 16, 4, 58], Operations: []
Exploring Operation: 52-16=36, Resulting Numbers: [4, 58, 36]
Generated Node #2: [4, 58, 36] from Operation: 52-16=36
Current State: 18:[4, 58, 36], Operations: ['52-16=36']
Exploring Operation: 58-4=54, Resulting Numbers: [36, 54]
Generated Node #3: [36, 54] from Operation: 58-4=54
Current State: 18:[36, 54], Operations: ['52-16=36', '58-4=54']
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
[
30,
10,
72,
98
] | 66
|
[
"30+10=40",
"98-72=26",
"40+26=66"
] |
Current State: 66:[30, 10, 72, 98], Operations: []
Exploring Operation: 30+10=40, Resulting Numbers: [72, 98, 40]
Generated Node #2: [72, 98, 40] from Operation: 30+10=40
Current State: 66:[72, 98, 40], Operations: ['30+10=40']
Exploring Operation: 98-72=26, Resulting Numbers: [40, 26]
Generated Node #3: [40, 26] from Operation: 98-72=26
Current State: 66:[40, 26], Operations: ['30+10=40', '98-72=26']
Exploring Operation: 40+26=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
[
23,
84,
97,
48
] | 38
|
[
"23+84=107",
"97+48=145",
"145-107=38"
] |
Current State: 38:[23, 84, 97, 48], Operations: []
Exploring Operation: 23+84=107, Resulting Numbers: [97, 48, 107]
Generated Node #2: [97, 48, 107] from Operation: 23+84=107
Current State: 38:[97, 48, 107], Operations: ['23+84=107']
Exploring Operation: 97+48=145, Resulting Numbers: [107, 145]
Generated Node #3: [107, 145] from Operation: 97+48=145
Current State: 38:[107, 145], Operations: ['23+84=107', '97+48=145']
Exploring Operation: 145-107=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
[
90,
91,
13,
10
] | 61
|
[
"13-10=3",
"90/3=30",
"91-30=61"
] |
Current State: 61:[90, 91, 13, 10], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [90, 91, 3]
Generated Node #2: [90, 91, 3] from Operation: 13-10=3
Current State: 61:[90, 91, 3], Operations: ['13-10=3']
Exploring Operation: 90/3=30, Resulting Numbers: [91, 30]
Generated Node #3: [91, 30] from Operation: 90/3=30
Current State: 61:[91, 30], Operations: ['13-10=3', '90/3=30']
Exploring Operation: 91-30=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
[
85,
2,
44,
32
] | 18
|
[
"85-44=41",
"41-32=9",
"2*9=18"
] |
Current State: 18:[85, 2, 44, 32], Operations: []
Exploring Operation: 85-44=41, Resulting Numbers: [2, 32, 41]
Generated Node #2: [2, 32, 41] from Operation: 85-44=41
Current State: 18:[2, 32, 41], Operations: ['85-44=41']
Exploring Operation: 41-32=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 41-32=9
Current State: 18:[2, 9], Operations: ['85-44=41', '41-32=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
[
19,
80,
6,
35
] | 89
|
[
"19+35=54",
"54/6=9",
"80+9=89"
] |
Current State: 89:[19, 80, 6, 35], Operations: []
Exploring Operation: 19+35=54, Resulting Numbers: [80, 6, 54]
Generated Node #2: [80, 6, 54] from Operation: 19+35=54
Current State: 89:[80, 6, 54], Operations: ['19+35=54']
Exploring Operation: 54/6=9, Resulting Numbers: [80, 9]
Generated Node #3: [80, 9] from Operation: 54/6=9
Current State: 89:[80, 9], Operations: ['19+35=54', '54/6=9']
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
[
10,
8,
84,
3
] | 86
|
[
"8-3=5",
"10/5=2",
"84+2=86"
] |
Current State: 86:[10, 8, 84, 3], Operations: []
Exploring Operation: 8-3=5, Resulting Numbers: [10, 84, 5]
Generated Node #2: [10, 84, 5] from Operation: 8-3=5
Current State: 86:[10, 84, 5], Operations: ['8-3=5']
Exploring Operation: 10/5=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 10/5=2
Current State: 86:[84, 2], Operations: ['8-3=5', '10/5=2']
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
28,
38,
76,
12
] | 19
|
[
"38*12=456",
"76+456=532",
"532/28=19"
] |
Current State: 19:[28, 38, 76, 12], Operations: []
Exploring Operation: 38*12=456, Resulting Numbers: [28, 76, 456]
Generated Node #2: [28, 76, 456] from Operation: 38*12=456
Current State: 19:[28, 76, 456], Operations: ['38*12=456']
Exploring Operation: 76+456=532, Resulting Numbers: [28, 532]
Generated Node #3: [28, 532] from Operation: 76+456=532
Current State: 19:[28, 532], Operations: ['38*12=456', '76+456=532']
Exploring Operation: 532/28=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
59,
82,
86,
3
] | 71
|
[
"86-82=4",
"3*4=12",
"59+12=71"
] |
Current State: 71:[59, 82, 86, 3], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [59, 3, 4]
Generated Node #2: [59, 3, 4] from Operation: 86-82=4
Current State: 71:[59, 3, 4], Operations: ['86-82=4']
Exploring Operation: 3*4=12, Resulting Numbers: [59, 12]
Generated Node #3: [59, 12] from Operation: 3*4=12
Current State: 71:[59, 12], Operations: ['86-82=4', '3*4=12']
Exploring Operation: 59+12=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
56,
3,
39,
60
] | 51
|
[
"60-56=4",
"3*4=12",
"39+12=51"
] |
Current State: 51:[56, 3, 39, 60], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [3, 39, 4]
Generated Node #2: [3, 39, 4] from Operation: 60-56=4
Current State: 51:[3, 39, 4], Operations: ['60-56=4']
Exploring Operation: 3*4=12, Resulting Numbers: [39, 12]
Generated Node #3: [39, 12] from Operation: 3*4=12
Current State: 51:[39, 12], Operations: ['60-56=4', '3*4=12']
Exploring Operation: 39+12=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4
|
[
29,
39,
5,
41
] | 45
|
[
"39+41=80",
"80/5=16",
"29+16=45"
] |
Current State: 45:[29, 39, 5, 41], Operations: []
Exploring Operation: 39+41=80, Resulting Numbers: [29, 5, 80]
Generated Node #2: [29, 5, 80] from Operation: 39+41=80
Current State: 45:[29, 5, 80], Operations: ['39+41=80']
Exploring Operation: 80/5=16, Resulting Numbers: [29, 16]
Generated Node #3: [29, 16] from Operation: 80/5=16
Current State: 45:[29, 16], Operations: ['39+41=80', '80/5=16']
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
99,
24,
91,
57
] | 73
|
[
"99-24=75",
"91+57=148",
"148-75=73"
] |
Current State: 73:[99, 24, 91, 57], Operations: []
Exploring Operation: 99-24=75, Resulting Numbers: [91, 57, 75]
Generated Node #2: [91, 57, 75] from Operation: 99-24=75
Current State: 73:[91, 57, 75], Operations: ['99-24=75']
Exploring Operation: 91+57=148, Resulting Numbers: [75, 148]
Generated Node #3: [75, 148] from Operation: 91+57=148
Current State: 73:[75, 148], Operations: ['99-24=75', '91+57=148']
Exploring Operation: 148-75=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
[
28,
26,
48,
5
] | 86
|
[
"28-26=2",
"48-5=43",
"2*43=86"
] |
Current State: 86:[28, 26, 48, 5], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [48, 5, 2]
Generated Node #2: [48, 5, 2] from Operation: 28-26=2
Current State: 86:[48, 5, 2], Operations: ['28-26=2']
Exploring Operation: 48-5=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 48-5=43
Current State: 86:[2, 43], Operations: ['28-26=2', '48-5=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
84,
63,
21,
79
] | 59
|
[
"63*79=4977",
"4977-21=4956",
"4956/84=59"
] |
Current State: 59:[84, 63, 21, 79], Operations: []
Exploring Operation: 63*79=4977, Resulting Numbers: [84, 21, 4977]
Generated Node #2: [84, 21, 4977] from Operation: 63*79=4977
Current State: 59:[84, 21, 4977], Operations: ['63*79=4977']
Exploring Operation: 4977-21=4956, Resulting Numbers: [84, 4956]
Generated Node #3: [84, 4956] from Operation: 4977-21=4956
Current State: 59:[84, 4956], Operations: ['63*79=4977', '4977-21=4956']
Exploring Operation: 4956/84=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
52,
2,
23,
6
] | 55
|
[
"52/2=26",
"23+6=29",
"26+29=55"
] |
Current State: 55:[52, 2, 23, 6], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [23, 6, 26]
Generated Node #2: [23, 6, 26] from Operation: 52/2=26
Current State: 55:[23, 6, 26], Operations: ['52/2=26']
Exploring Operation: 23+6=29, Resulting Numbers: [26, 29]
Generated Node #3: [26, 29] from Operation: 23+6=29
Current State: 55:[26, 29], Operations: ['52/2=26', '23+6=29']
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
[
83,
1,
71,
28
] | 39
|
[
"83-1=82",
"71-28=43",
"82-43=39"
] |
Current State: 39:[83, 1, 71, 28], Operations: []
Exploring Operation: 83-1=82, Resulting Numbers: [71, 28, 82]
Generated Node #2: [71, 28, 82] from Operation: 83-1=82
Current State: 39:[71, 28, 82], Operations: ['83-1=82']
Exploring Operation: 71-28=43, Resulting Numbers: [82, 43]
Generated Node #3: [82, 43] from Operation: 71-28=43
Current State: 39:[82, 43], Operations: ['83-1=82', '71-28=43']
Exploring Operation: 82-43=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
[
14,
1,
17,
42
] | 48
|
[
"42/14=3",
"17-1=16",
"3*16=48"
] |
Current State: 48:[14, 1, 17, 42], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [1, 17, 3]
Generated Node #2: [1, 17, 3] from Operation: 42/14=3
Current State: 48:[1, 17, 3], Operations: ['42/14=3']
Exploring Operation: 17-1=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 17-1=16
Current State: 48:[3, 16], Operations: ['42/14=3', '17-1=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
[
15,
51,
68,
46
] | 44
|
[
"15+51=66",
"68-46=22",
"66-22=44"
] |
Current State: 44:[15, 51, 68, 46], Operations: []
Exploring Operation: 15+51=66, Resulting Numbers: [68, 46, 66]
Generated Node #2: [68, 46, 66] from Operation: 15+51=66
Current State: 44:[68, 46, 66], Operations: ['15+51=66']
Exploring Operation: 68-46=22, Resulting Numbers: [66, 22]
Generated Node #3: [66, 22] from Operation: 68-46=22
Current State: 44:[66, 22], Operations: ['15+51=66', '68-46=22']
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4
|
[
39,
17,
99,
78
] | 43
|
[
"39-17=22",
"99-78=21",
"22+21=43"
] |
Current State: 43:[39, 17, 99, 78], Operations: []
Exploring Operation: 39-17=22, Resulting Numbers: [99, 78, 22]
Generated Node #2: [99, 78, 22] from Operation: 39-17=22
Current State: 43:[99, 78, 22], Operations: ['39-17=22']
Exploring Operation: 99-78=21, Resulting Numbers: [22, 21]
Generated Node #3: [22, 21] from Operation: 99-78=21
Current State: 43:[22, 21], Operations: ['39-17=22', '99-78=21']
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
[
81,
71,
54,
21
] | 65
|
[
"81-71=10",
"54+21=75",
"75-10=65"
] |
Current State: 65:[81, 71, 54, 21], Operations: []
Exploring Operation: 81-71=10, Resulting Numbers: [54, 21, 10]
Generated Node #2: [54, 21, 10] from Operation: 81-71=10
Current State: 65:[54, 21, 10], Operations: ['81-71=10']
Exploring Operation: 54+21=75, Resulting Numbers: [10, 75]
Generated Node #3: [10, 75] from Operation: 54+21=75
Current State: 65:[10, 75], Operations: ['81-71=10', '54+21=75']
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
45,
44,
59,
82
] | 22
|
[
"45-44=1",
"82-59=23",
"23-1=22"
] |
Current State: 22:[45, 44, 59, 82], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [59, 82, 1]
Generated Node #2: [59, 82, 1] from Operation: 45-44=1
Current State: 22:[59, 82, 1], Operations: ['45-44=1']
Exploring Operation: 82-59=23, Resulting Numbers: [1, 23]
Generated Node #3: [1, 23] from Operation: 82-59=23
Current State: 22:[1, 23], Operations: ['45-44=1', '82-59=23']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
[
84,
72,
61,
87
] | 33
|
[
"87-84=3",
"72-61=11",
"3*11=33"
] |
Current State: 33:[84, 72, 61, 87], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [72, 61, 3]
Generated Node #2: [72, 61, 3] from Operation: 87-84=3
Current State: 33:[72, 61, 3], Operations: ['87-84=3']
Exploring Operation: 72-61=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 72-61=11
Current State: 33:[3, 11], Operations: ['87-84=3', '72-61=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
[
99,
50,
51,
33
] | 30
|
[
"99+51=150",
"150/50=3",
"33-3=30"
] |
Current State: 30:[99, 50, 51, 33], Operations: []
Exploring Operation: 99+51=150, Resulting Numbers: [50, 33, 150]
Generated Node #2: [50, 33, 150] from Operation: 99+51=150
Current State: 30:[50, 33, 150], Operations: ['99+51=150']
Exploring Operation: 150/50=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 150/50=3
Current State: 30:[33, 3], Operations: ['99+51=150', '150/50=3']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
[
52,
84,
28,
54
] | 14
|
[
"54-52=2",
"84/2=42",
"42-28=14"
] |
Current State: 14:[52, 84, 28, 54], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [84, 28, 2]
Generated Node #2: [84, 28, 2] from Operation: 54-52=2
Current State: 14:[84, 28, 2], Operations: ['54-52=2']
Exploring Operation: 84/2=42, Resulting Numbers: [28, 42]
Generated Node #3: [28, 42] from Operation: 84/2=42
Current State: 14:[28, 42], Operations: ['54-52=2', '84/2=42']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
36,
9,
6,
61
] | 43
|
[
"36+61=97",
"9*6=54",
"97-54=43"
] |
Current State: 43:[36, 9, 6, 61], Operations: []
Exploring Operation: 36+61=97, Resulting Numbers: [9, 6, 97]
Generated Node #2: [9, 6, 97] from Operation: 36+61=97
Current State: 43:[9, 6, 97], Operations: ['36+61=97']
Exploring Operation: 9*6=54, Resulting Numbers: [97, 54]
Generated Node #3: [97, 54] from Operation: 9*6=54
Current State: 43:[97, 54], Operations: ['36+61=97', '9*6=54']
Exploring Operation: 97-54=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
[
2,
70,
13,
25
] | 71
|
[
"2*13=26",
"70-25=45",
"26+45=71"
] |
Current State: 71:[2, 70, 13, 25], Operations: []
Exploring Operation: 2*13=26, Resulting Numbers: [70, 25, 26]
Generated Node #2: [70, 25, 26] from Operation: 2*13=26
Current State: 71:[70, 25, 26], Operations: ['2*13=26']
Exploring Operation: 70-25=45, Resulting Numbers: [26, 45]
Generated Node #3: [26, 45] from Operation: 70-25=45
Current State: 71:[26, 45], Operations: ['2*13=26', '70-25=45']
Exploring Operation: 26+45=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
76,
8,
3,
1
] | 74
|
[
"3+1=4",
"8/4=2",
"76-2=74"
] |
Current State: 74:[76, 8, 3, 1], Operations: []
Exploring Operation: 3+1=4, Resulting Numbers: [76, 8, 4]
Generated Node #2: [76, 8, 4] from Operation: 3+1=4
Current State: 74:[76, 8, 4], Operations: ['3+1=4']
Exploring Operation: 8/4=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 8/4=2
Current State: 74:[76, 2], Operations: ['3+1=4', '8/4=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
[
7,
93,
99,
60
] | 18
|
[
"99-93=6",
"7*6=42",
"60-42=18"
] |
Current State: 18:[7, 93, 99, 60], Operations: []
Exploring Operation: 99-93=6, Resulting Numbers: [7, 60, 6]
Generated Node #2: [7, 60, 6] from Operation: 99-93=6
Current State: 18:[7, 60, 6], Operations: ['99-93=6']
Exploring Operation: 7*6=42, Resulting Numbers: [60, 42]
Generated Node #3: [60, 42] from Operation: 7*6=42
Current State: 18:[60, 42], Operations: ['99-93=6', '7*6=42']
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
[
2,
86,
72,
5
] | 10
|
[
"72/2=36",
"86-36=50",
"50/5=10"
] |
Current State: 10:[2, 86, 72, 5], Operations: []
Exploring Operation: 72/2=36, Resulting Numbers: [86, 5, 36]
Generated Node #2: [86, 5, 36] from Operation: 72/2=36
Current State: 10:[86, 5, 36], Operations: ['72/2=36']
Exploring Operation: 86-36=50, Resulting Numbers: [5, 50]
Generated Node #3: [5, 50] from Operation: 86-36=50
Current State: 10:[5, 50], Operations: ['72/2=36', '86-36=50']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
[
7,
73,
91,
80
] | 14
|
[
"7+91=98",
"80-73=7",
"98/7=14"
] |
Current State: 14:[7, 73, 91, 80], Operations: []
Exploring Operation: 7+91=98, Resulting Numbers: [73, 80, 98]
Generated Node #2: [73, 80, 98] from Operation: 7+91=98
Current State: 14:[73, 80, 98], Operations: ['7+91=98']
Exploring Operation: 80-73=7, Resulting Numbers: [98, 7]
Generated Node #3: [98, 7] from Operation: 80-73=7
Current State: 14:[98, 7], Operations: ['7+91=98', '80-73=7']
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
4,
86,
65,
60
] | 43
|
[
"86-4=82",
"65+60=125",
"125-82=43"
] |
Current State: 43:[4, 86, 65, 60], Operations: []
Exploring Operation: 86-4=82, Resulting Numbers: [65, 60, 82]
Generated Node #2: [65, 60, 82] from Operation: 86-4=82
Current State: 43:[65, 60, 82], Operations: ['86-4=82']
Exploring Operation: 65+60=125, Resulting Numbers: [82, 125]
Generated Node #3: [82, 125] from Operation: 65+60=125
Current State: 43:[82, 125], Operations: ['86-4=82', '65+60=125']
Exploring Operation: 125-82=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
[
60,
66,
19,
97
] | 84
|
[
"66-60=6",
"97-19=78",
"6+78=84"
] |
Current State: 84:[60, 66, 19, 97], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [19, 97, 6]
Generated Node #2: [19, 97, 6] from Operation: 66-60=6
Current State: 84:[19, 97, 6], Operations: ['66-60=6']
Exploring Operation: 97-19=78, Resulting Numbers: [6, 78]
Generated Node #3: [6, 78] from Operation: 97-19=78
Current State: 84:[6, 78], Operations: ['66-60=6', '97-19=78']
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
[
22,
85,
40,
20
] | 74
|
[
"22*20=440",
"440/40=11",
"85-11=74"
] |
Current State: 74:[22, 85, 40, 20], Operations: []
Exploring Operation: 22*20=440, Resulting Numbers: [85, 40, 440]
Generated Node #2: [85, 40, 440] from Operation: 22*20=440
Current State: 74:[85, 40, 440], Operations: ['22*20=440']
Exploring Operation: 440/40=11, Resulting Numbers: [85, 11]
Generated Node #3: [85, 11] from Operation: 440/40=11
Current State: 74:[85, 11], Operations: ['22*20=440', '440/40=11']
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
[
23,
8,
5,
83
] | 61
|
[
"23-5=18",
"8*18=144",
"144-83=61"
] |
Current State: 61:[23, 8, 5, 83], Operations: []
Exploring Operation: 23-5=18, Resulting Numbers: [8, 83, 18]
Generated Node #2: [8, 83, 18] from Operation: 23-5=18
Current State: 61:[8, 83, 18], Operations: ['23-5=18']
Exploring Operation: 8*18=144, Resulting Numbers: [83, 144]
Generated Node #3: [83, 144] from Operation: 8*18=144
Current State: 61:[83, 144], Operations: ['23-5=18', '8*18=144']
Exploring Operation: 144-83=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
[
49,
87,
32,
73
] | 54
|
[
"87+73=160",
"160/32=5",
"49+5=54"
] |
Current State: 54:[49, 87, 32, 73], Operations: []
Exploring Operation: 87+73=160, Resulting Numbers: [49, 32, 160]
Generated Node #2: [49, 32, 160] from Operation: 87+73=160
Current State: 54:[49, 32, 160], Operations: ['87+73=160']
Exploring Operation: 160/32=5, Resulting Numbers: [49, 5]
Generated Node #3: [49, 5] from Operation: 160/32=5
Current State: 54:[49, 5], Operations: ['87+73=160', '160/32=5']
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
22,
77,
7,
8
] | 88
|
[
"77/7=11",
"22-11=11",
"8*11=88"
] |
Current State: 88:[22, 77, 7, 8], Operations: []
Exploring Operation: 77/7=11, Resulting Numbers: [22, 8, 11]
Generated Node #2: [22, 8, 11] from Operation: 77/7=11
Current State: 88:[22, 8, 11], Operations: ['77/7=11']
Exploring Operation: 22-11=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 22-11=11
Current State: 88:[8, 11], Operations: ['77/7=11', '22-11=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
[
40,
21,
43,
79
] | 86
|
[
"43-40=3",
"21/3=7",
"79+7=86"
] |
Current State: 86:[40, 21, 43, 79], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [21, 79, 3]
Generated Node #2: [21, 79, 3] from Operation: 43-40=3
Current State: 86:[21, 79, 3], Operations: ['43-40=3']
Exploring Operation: 21/3=7, Resulting Numbers: [79, 7]
Generated Node #3: [79, 7] from Operation: 21/3=7
Current State: 86:[79, 7], Operations: ['43-40=3', '21/3=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
58,
60,
8,
52
] | 34
|
[
"60-58=2",
"52/2=26",
"8+26=34"
] |
Current State: 34:[58, 60, 8, 52], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [8, 52, 2]
Generated Node #2: [8, 52, 2] from Operation: 60-58=2
Current State: 34:[8, 52, 2], Operations: ['60-58=2']
Exploring Operation: 52/2=26, Resulting Numbers: [8, 26]
Generated Node #3: [8, 26] from Operation: 52/2=26
Current State: 34:[8, 26], Operations: ['60-58=2', '52/2=26']
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4
|
[
99,
41,
3,
1
] | 85
|
[
"41+1=42",
"42/3=14",
"99-14=85"
] |
Current State: 85:[99, 41, 3, 1], Operations: []
Exploring Operation: 41+1=42, Resulting Numbers: [99, 3, 42]
Generated Node #2: [99, 3, 42] from Operation: 41+1=42
Current State: 85:[99, 3, 42], Operations: ['41+1=42']
Exploring Operation: 42/3=14, Resulting Numbers: [99, 14]
Generated Node #3: [99, 14] from Operation: 42/3=14
Current State: 85:[99, 14], Operations: ['41+1=42', '42/3=14']
Exploring Operation: 99-14=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
18,
98,
11,
5
] | 63
|
[
"18-11=7",
"5*7=35",
"98-35=63"
] |
Current State: 63:[18, 98, 11, 5], Operations: []
Exploring Operation: 18-11=7, Resulting Numbers: [98, 5, 7]
Generated Node #2: [98, 5, 7] from Operation: 18-11=7
Current State: 63:[98, 5, 7], Operations: ['18-11=7']
Exploring Operation: 5*7=35, Resulting Numbers: [98, 35]
Generated Node #3: [98, 35] from Operation: 5*7=35
Current State: 63:[98, 35], Operations: ['18-11=7', '5*7=35']
Exploring Operation: 98-35=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
[
29,
32,
70,
49
] | 82
|
[
"29+32=61",
"70-49=21",
"61+21=82"
] |
Current State: 82:[29, 32, 70, 49], Operations: []
Exploring Operation: 29+32=61, Resulting Numbers: [70, 49, 61]
Generated Node #2: [70, 49, 61] from Operation: 29+32=61
Current State: 82:[70, 49, 61], Operations: ['29+32=61']
Exploring Operation: 70-49=21, Resulting Numbers: [61, 21]
Generated Node #3: [61, 21] from Operation: 70-49=21
Current State: 82:[61, 21], Operations: ['29+32=61', '70-49=21']
Exploring Operation: 61+21=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
[
6,
69,
2,
90
] | 27
|
[
"90-6=84",
"84/2=42",
"69-42=27"
] |
Current State: 27:[6, 69, 2, 90], Operations: []
Exploring Operation: 90-6=84, Resulting Numbers: [69, 2, 84]
Generated Node #2: [69, 2, 84] from Operation: 90-6=84
Current State: 27:[69, 2, 84], Operations: ['90-6=84']
Exploring Operation: 84/2=42, Resulting Numbers: [69, 42]
Generated Node #3: [69, 42] from Operation: 84/2=42
Current State: 27:[69, 42], Operations: ['90-6=84', '84/2=42']
Exploring Operation: 69-42=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
37,
45,
99,
5
] | 48
|
[
"45/5=9",
"99/9=11",
"37+11=48"
] |
Current State: 48:[37, 45, 99, 5], Operations: []
Exploring Operation: 45/5=9, Resulting Numbers: [37, 99, 9]
Generated Node #2: [37, 99, 9] from Operation: 45/5=9
Current State: 48:[37, 99, 9], Operations: ['45/5=9']
Exploring Operation: 99/9=11, Resulting Numbers: [37, 11]
Generated Node #3: [37, 11] from Operation: 99/9=11
Current State: 48:[37, 11], Operations: ['45/5=9', '99/9=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
[
1,
35,
7,
94
] | 98
|
[
"94-1=93",
"35/7=5",
"93+5=98"
] |
Current State: 98:[1, 35, 7, 94], Operations: []
Exploring Operation: 94-1=93, Resulting Numbers: [35, 7, 93]
Generated Node #2: [35, 7, 93] from Operation: 94-1=93
Current State: 98:[35, 7, 93], Operations: ['94-1=93']
Exploring Operation: 35/7=5, Resulting Numbers: [93, 5]
Generated Node #3: [93, 5] from Operation: 35/7=5
Current State: 98:[93, 5], Operations: ['94-1=93', '35/7=5']
Exploring Operation: 93+5=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4
|
[
54,
56,
17,
16
] | 88
|
[
"54*16=864",
"56*17=952",
"952-864=88"
] |
Current State: 88:[54, 56, 17, 16], Operations: []
Exploring Operation: 54*16=864, Resulting Numbers: [56, 17, 864]
Generated Node #2: [56, 17, 864] from Operation: 54*16=864
Current State: 88:[56, 17, 864], Operations: ['54*16=864']
Exploring Operation: 56*17=952, Resulting Numbers: [864, 952]
Generated Node #3: [864, 952] from Operation: 56*17=952
Current State: 88:[864, 952], Operations: ['54*16=864', '56*17=952']
Exploring Operation: 952-864=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
[
48,
84,
8,
56
] | 83
|
[
"48+8=56",
"56/56=1",
"84-1=83"
] |
Current State: 83:[48, 84, 8, 56], Operations: []
Exploring Operation: 48+8=56, Resulting Numbers: [84, 56, 56]
Generated Node #2: [84, 56, 56] from Operation: 48+8=56
Current State: 83:[84, 56, 56], Operations: ['48+8=56']
Exploring Operation: 56/56=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 56/56=1
Current State: 83:[84, 1], Operations: ['48+8=56', '56/56=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
[
99,
76,
24,
28
] | 75
|
[
"99-76=23",
"24+28=52",
"23+52=75"
] |
Current State: 75:[99, 76, 24, 28], Operations: []
Exploring Operation: 99-76=23, Resulting Numbers: [24, 28, 23]
Generated Node #2: [24, 28, 23] from Operation: 99-76=23
Current State: 75:[24, 28, 23], Operations: ['99-76=23']
Exploring Operation: 24+28=52, Resulting Numbers: [23, 52]
Generated Node #3: [23, 52] from Operation: 24+28=52
Current State: 75:[23, 52], Operations: ['99-76=23', '24+28=52']
Exploring Operation: 23+52=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
[
6,
36,
63,
36
] | 68
|
[
"6+63=69",
"36/36=1",
"69-1=68"
] |
Current State: 68:[6, 36, 63, 36], Operations: []
Exploring Operation: 6+63=69, Resulting Numbers: [36, 36, 69]
Generated Node #2: [36, 36, 69] from Operation: 6+63=69
Current State: 68:[36, 36, 69], Operations: ['6+63=69']
Exploring Operation: 36/36=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 36/36=1
Current State: 68:[69, 1], Operations: ['6+63=69', '36/36=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
[
55,
24,
37,
86
] | 35
|
[
"24+86=110",
"110/55=2",
"37-2=35"
] |
Current State: 35:[55, 24, 37, 86], Operations: []
Exploring Operation: 24+86=110, Resulting Numbers: [55, 37, 110]
Generated Node #2: [55, 37, 110] from Operation: 24+86=110
Current State: 35:[55, 37, 110], Operations: ['24+86=110']
Exploring Operation: 110/55=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 110/55=2
Current State: 35:[37, 2], Operations: ['24+86=110', '110/55=2']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
[
87,
5,
64,
11
] | 60
|
[
"87-64=23",
"23-11=12",
"5*12=60"
] |
Current State: 60:[87, 5, 64, 11], Operations: []
Exploring Operation: 87-64=23, Resulting Numbers: [5, 11, 23]
Generated Node #2: [5, 11, 23] from Operation: 87-64=23
Current State: 60:[5, 11, 23], Operations: ['87-64=23']
Exploring Operation: 23-11=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 23-11=12
Current State: 60:[5, 12], Operations: ['87-64=23', '23-11=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
8,
69,
95,
79
] | 71
|
[
"95-79=16",
"16/8=2",
"69+2=71"
] |
Current State: 71:[8, 69, 95, 79], Operations: []
Exploring Operation: 95-79=16, Resulting Numbers: [8, 69, 16]
Generated Node #2: [8, 69, 16] from Operation: 95-79=16
Current State: 71:[8, 69, 16], Operations: ['95-79=16']
Exploring Operation: 16/8=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 16/8=2
Current State: 71:[69, 2], Operations: ['95-79=16', '16/8=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
80,
85,
99,
73
] | 31
|
[
"85-80=5",
"99-73=26",
"5+26=31"
] |
Current State: 31:[80, 85, 99, 73], Operations: []
Exploring Operation: 85-80=5, Resulting Numbers: [99, 73, 5]
Generated Node #2: [99, 73, 5] from Operation: 85-80=5
Current State: 31:[99, 73, 5], Operations: ['85-80=5']
Exploring Operation: 99-73=26, Resulting Numbers: [5, 26]
Generated Node #3: [5, 26] from Operation: 99-73=26
Current State: 31:[5, 26], Operations: ['85-80=5', '99-73=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
[
22,
92,
2,
58
] | 54
|
[
"22+92=114",
"2+58=60",
"114-60=54"
] |
Current State: 54:[22, 92, 2, 58], Operations: []
Exploring Operation: 22+92=114, Resulting Numbers: [2, 58, 114]
Generated Node #2: [2, 58, 114] from Operation: 22+92=114
Current State: 54:[2, 58, 114], Operations: ['22+92=114']
Exploring Operation: 2+58=60, Resulting Numbers: [114, 60]
Generated Node #3: [114, 60] from Operation: 2+58=60
Current State: 54:[114, 60], Operations: ['22+92=114', '2+58=60']
Exploring Operation: 114-60=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
75,
92,
85,
28
] | 33
|
[
"92-75=17",
"85/17=5",
"28+5=33"
] |
Current State: 33:[75, 92, 85, 28], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [85, 28, 17]
Generated Node #2: [85, 28, 17] from Operation: 92-75=17
Current State: 33:[85, 28, 17], Operations: ['92-75=17']
Exploring Operation: 85/17=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 85/17=5
Current State: 33:[28, 5], Operations: ['92-75=17', '85/17=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
[
54,
52,
35,
2
] | 20
|
[
"52-35=17",
"2*17=34",
"54-34=20"
] |
Current State: 20:[54, 52, 35, 2], Operations: []
Exploring Operation: 52-35=17, Resulting Numbers: [54, 2, 17]
Generated Node #2: [54, 2, 17] from Operation: 52-35=17
Current State: 20:[54, 2, 17], Operations: ['52-35=17']
Exploring Operation: 2*17=34, Resulting Numbers: [54, 34]
Generated Node #3: [54, 34] from Operation: 2*17=34
Current State: 20:[54, 34], Operations: ['52-35=17', '2*17=34']
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
[
3,
2,
8,
20
] | 45
|
[
"8-3=5",
"2*20=40",
"5+40=45"
] |
Current State: 45:[3, 2, 8, 20], Operations: []
Exploring Operation: 8-3=5, Resulting Numbers: [2, 20, 5]
Generated Node #2: [2, 20, 5] from Operation: 8-3=5
Current State: 45:[2, 20, 5], Operations: ['8-3=5']
Exploring Operation: 2*20=40, Resulting Numbers: [5, 40]
Generated Node #3: [5, 40] from Operation: 2*20=40
Current State: 45:[5, 40], Operations: ['8-3=5', '2*20=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
14,
61,
2,
13
] | 73
|
[
"61-14=47",
"2*13=26",
"47+26=73"
] |
Current State: 73:[14, 61, 2, 13], Operations: []
Exploring Operation: 61-14=47, Resulting Numbers: [2, 13, 47]
Generated Node #2: [2, 13, 47] from Operation: 61-14=47
Current State: 73:[2, 13, 47], Operations: ['61-14=47']
Exploring Operation: 2*13=26, Resulting Numbers: [47, 26]
Generated Node #3: [47, 26] from Operation: 2*13=26
Current State: 73:[47, 26], Operations: ['61-14=47', '2*13=26']
Exploring Operation: 47+26=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
[
82,
79,
76,
2
] | 83
|
[
"82+79=161",
"76+2=78",
"161-78=83"
] |
Current State: 83:[82, 79, 76, 2], Operations: []
Exploring Operation: 82+79=161, Resulting Numbers: [76, 2, 161]
Generated Node #2: [76, 2, 161] from Operation: 82+79=161
Current State: 83:[76, 2, 161], Operations: ['82+79=161']
Exploring Operation: 76+2=78, Resulting Numbers: [161, 78]
Generated Node #3: [161, 78] from Operation: 76+2=78
Current State: 83:[161, 78], Operations: ['82+79=161', '76+2=78']
Exploring Operation: 161-78=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
[
33,
15,
54,
1
] | 36
|
[
"33-15=18",
"54*1=54",
"54-18=36"
] |
Current State: 36:[33, 15, 54, 1], Operations: []
Exploring Operation: 33-15=18, Resulting Numbers: [54, 1, 18]
Generated Node #2: [54, 1, 18] from Operation: 33-15=18
Current State: 36:[54, 1, 18], Operations: ['33-15=18']
Exploring Operation: 54*1=54, Resulting Numbers: [18, 54]
Generated Node #3: [18, 54] from Operation: 54*1=54
Current State: 36:[18, 54], Operations: ['33-15=18', '54*1=54']
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
[
30,
38,
31,
82
] | 14
|
[
"38*31=1178",
"1178-30=1148",
"1148/82=14"
] |
Current State: 14:[30, 38, 31, 82], Operations: []
Exploring Operation: 38*31=1178, Resulting Numbers: [30, 82, 1178]
Generated Node #2: [30, 82, 1178] from Operation: 38*31=1178
Current State: 14:[30, 82, 1178], Operations: ['38*31=1178']
Exploring Operation: 1178-30=1148, Resulting Numbers: [82, 1148]
Generated Node #3: [82, 1148] from Operation: 1178-30=1148
Current State: 14:[82, 1148], Operations: ['38*31=1178', '1178-30=1148']
Exploring Operation: 1148/82=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
47,
42,
32,
3
] | 19
|
[
"47+42=89",
"89-32=57",
"57/3=19"
] |
Current State: 19:[47, 42, 32, 3], Operations: []
Exploring Operation: 47+42=89, Resulting Numbers: [32, 3, 89]
Generated Node #2: [32, 3, 89] from Operation: 47+42=89
Current State: 19:[32, 3, 89], Operations: ['47+42=89']
Exploring Operation: 89-32=57, Resulting Numbers: [3, 57]
Generated Node #3: [3, 57] from Operation: 89-32=57
Current State: 19:[3, 57], Operations: ['47+42=89', '89-32=57']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
1,
94,
88,
60
] | 53
|
[
"1+94=95",
"88+60=148",
"148-95=53"
] |
Current State: 53:[1, 94, 88, 60], Operations: []
Exploring Operation: 1+94=95, Resulting Numbers: [88, 60, 95]
Generated Node #2: [88, 60, 95] from Operation: 1+94=95
Current State: 53:[88, 60, 95], Operations: ['1+94=95']
Exploring Operation: 88+60=148, Resulting Numbers: [95, 148]
Generated Node #3: [95, 148] from Operation: 88+60=148
Current State: 53:[95, 148], Operations: ['1+94=95', '88+60=148']
Exploring Operation: 148-95=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
52,
55,
76,
33
] | 87
|
[
"55-52=3",
"33/3=11",
"76+11=87"
] |
Current State: 87:[52, 55, 76, 33], Operations: []
Exploring Operation: 55-52=3, Resulting Numbers: [76, 33, 3]
Generated Node #2: [76, 33, 3] from Operation: 55-52=3
Current State: 87:[76, 33, 3], Operations: ['55-52=3']
Exploring Operation: 33/3=11, Resulting Numbers: [76, 11]
Generated Node #3: [76, 11] from Operation: 33/3=11
Current State: 87:[76, 11], Operations: ['55-52=3', '33/3=11']
Exploring Operation: 76+11=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
33,
40,
75,
36
] | 32
|
[
"40-33=7",
"75-36=39",
"39-7=32"
] |
Current State: 32:[33, 40, 75, 36], Operations: []
Exploring Operation: 40-33=7, Resulting Numbers: [75, 36, 7]
Generated Node #2: [75, 36, 7] from Operation: 40-33=7
Current State: 32:[75, 36, 7], Operations: ['40-33=7']
Exploring Operation: 75-36=39, Resulting Numbers: [7, 39]
Generated Node #3: [7, 39] from Operation: 75-36=39
Current State: 32:[7, 39], Operations: ['40-33=7', '75-36=39']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
60,
56,
3,
43
] | 84
|
[
"60*56=3360",
"43-3=40",
"3360/40=84"
] |
Current State: 84:[60, 56, 3, 43], Operations: []
Exploring Operation: 60*56=3360, Resulting Numbers: [3, 43, 3360]
Generated Node #2: [3, 43, 3360] from Operation: 60*56=3360
Current State: 84:[3, 43, 3360], Operations: ['60*56=3360']
Exploring Operation: 43-3=40, Resulting Numbers: [3360, 40]
Generated Node #3: [3360, 40] from Operation: 43-3=40
Current State: 84:[3360, 40], Operations: ['60*56=3360', '43-3=40']
Exploring Operation: 3360/40=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
[
5,
2,
39,
54
] | 87
|
[
"5*39=195",
"2*54=108",
"195-108=87"
] |
Current State: 87:[5, 2, 39, 54], Operations: []
Exploring Operation: 5*39=195, Resulting Numbers: [2, 54, 195]
Generated Node #2: [2, 54, 195] from Operation: 5*39=195
Current State: 87:[2, 54, 195], Operations: ['5*39=195']
Exploring Operation: 2*54=108, Resulting Numbers: [195, 108]
Generated Node #3: [195, 108] from Operation: 2*54=108
Current State: 87:[195, 108], Operations: ['5*39=195', '2*54=108']
Exploring Operation: 195-108=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
16,
94,
18,
41
] | 19
|
[
"94-16=78",
"18+41=59",
"78-59=19"
] |
Current State: 19:[16, 94, 18, 41], Operations: []
Exploring Operation: 94-16=78, Resulting Numbers: [18, 41, 78]
Generated Node #2: [18, 41, 78] from Operation: 94-16=78
Current State: 19:[18, 41, 78], Operations: ['94-16=78']
Exploring Operation: 18+41=59, Resulting Numbers: [78, 59]
Generated Node #3: [78, 59] from Operation: 18+41=59
Current State: 19:[78, 59], Operations: ['94-16=78', '18+41=59']
Exploring Operation: 78-59=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
39,
54,
8,
49
] | 79
|
[
"54-49=5",
"8*5=40",
"39+40=79"
] |
Current State: 79:[39, 54, 8, 49], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [39, 8, 5]
Generated Node #2: [39, 8, 5] from Operation: 54-49=5
Current State: 79:[39, 8, 5], Operations: ['54-49=5']
Exploring Operation: 8*5=40, Resulting Numbers: [39, 40]
Generated Node #3: [39, 40] from Operation: 8*5=40
Current State: 79:[39, 40], Operations: ['54-49=5', '8*5=40']
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
39,
67,
36,
96
] | 26
|
[
"39+67=106",
"36+96=132",
"132-106=26"
] |
Current State: 26:[39, 67, 36, 96], Operations: []
Exploring Operation: 39+67=106, Resulting Numbers: [36, 96, 106]
Generated Node #2: [36, 96, 106] from Operation: 39+67=106
Current State: 26:[36, 96, 106], Operations: ['39+67=106']
Exploring Operation: 36+96=132, Resulting Numbers: [106, 132]
Generated Node #3: [106, 132] from Operation: 36+96=132
Current State: 26:[106, 132], Operations: ['39+67=106', '36+96=132']
Exploring Operation: 132-106=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
63,
70,
67,
14
] | 52
|
[
"63+70=133",
"67+14=81",
"133-81=52"
] |
Current State: 52:[63, 70, 67, 14], Operations: []
Exploring Operation: 63+70=133, Resulting Numbers: [67, 14, 133]
Generated Node #2: [67, 14, 133] from Operation: 63+70=133
Current State: 52:[67, 14, 133], Operations: ['63+70=133']
Exploring Operation: 67+14=81, Resulting Numbers: [133, 81]
Generated Node #3: [133, 81] from Operation: 67+14=81
Current State: 52:[133, 81], Operations: ['63+70=133', '67+14=81']
Exploring Operation: 133-81=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
[
84,
28,
27,
55
] | 46
|
[
"84/28=3",
"27/3=9",
"55-9=46"
] |
Current State: 46:[84, 28, 27, 55], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [27, 55, 3]
Generated Node #2: [27, 55, 3] from Operation: 84/28=3
Current State: 46:[27, 55, 3], Operations: ['84/28=3']
Exploring Operation: 27/3=9, Resulting Numbers: [55, 9]
Generated Node #3: [55, 9] from Operation: 27/3=9
Current State: 46:[55, 9], Operations: ['84/28=3', '27/3=9']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
[
8,
9,
53,
47
] | 60
|
[
"9+47=56",
"56/8=7",
"53+7=60"
] |
Current State: 60:[8, 9, 53, 47], Operations: []
Exploring Operation: 9+47=56, Resulting Numbers: [8, 53, 56]
Generated Node #2: [8, 53, 56] from Operation: 9+47=56
Current State: 60:[8, 53, 56], Operations: ['9+47=56']
Exploring Operation: 56/8=7, Resulting Numbers: [53, 7]
Generated Node #3: [53, 7] from Operation: 56/8=7
Current State: 60:[53, 7], Operations: ['9+47=56', '56/8=7']
Exploring Operation: 53+7=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
53,
57,
44,
77
] | 37
|
[
"57-53=4",
"77-44=33",
"4+33=37"
] |
Current State: 37:[53, 57, 44, 77], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [44, 77, 4]
Generated Node #2: [44, 77, 4] from Operation: 57-53=4
Current State: 37:[44, 77, 4], Operations: ['57-53=4']
Exploring Operation: 77-44=33, Resulting Numbers: [4, 33]
Generated Node #3: [4, 33] from Operation: 77-44=33
Current State: 37:[4, 33], Operations: ['57-53=4', '77-44=33']
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
[
97,
50,
41,
73
] | 79
|
[
"97-50=47",
"73-41=32",
"47+32=79"
] |
Current State: 79:[97, 50, 41, 73], Operations: []
Exploring Operation: 97-50=47, Resulting Numbers: [41, 73, 47]
Generated Node #2: [41, 73, 47] from Operation: 97-50=47
Current State: 79:[41, 73, 47], Operations: ['97-50=47']
Exploring Operation: 73-41=32, Resulting Numbers: [47, 32]
Generated Node #3: [47, 32] from Operation: 73-41=32
Current State: 79:[47, 32], Operations: ['97-50=47', '73-41=32']
Exploring Operation: 47+32=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
42,
45,
69,
4
] | 48
|
[
"69-45=24",
"24/4=6",
"42+6=48"
] |
Current State: 48:[42, 45, 69, 4], Operations: []
Exploring Operation: 69-45=24, Resulting Numbers: [42, 4, 24]
Generated Node #2: [42, 4, 24] from Operation: 69-45=24
Current State: 48:[42, 4, 24], Operations: ['69-45=24']
Exploring Operation: 24/4=6, Resulting Numbers: [42, 6]
Generated Node #3: [42, 6] from Operation: 24/4=6
Current State: 48:[42, 6], Operations: ['69-45=24', '24/4=6']
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
[
58,
77,
82,
50
] | 68
|
[
"82-77=5",
"50/5=10",
"58+10=68"
] |
Current State: 68:[58, 77, 82, 50], Operations: []
Exploring Operation: 82-77=5, Resulting Numbers: [58, 50, 5]
Generated Node #2: [58, 50, 5] from Operation: 82-77=5
Current State: 68:[58, 50, 5], Operations: ['82-77=5']
Exploring Operation: 50/5=10, Resulting Numbers: [58, 10]
Generated Node #3: [58, 10] from Operation: 50/5=10
Current State: 68:[58, 10], Operations: ['82-77=5', '50/5=10']
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
[
96,
6,
85,
34
] | 81
|
[
"6*85=510",
"510/34=15",
"96-15=81"
] |
Current State: 81:[96, 6, 85, 34], Operations: []
Exploring Operation: 6*85=510, Resulting Numbers: [96, 34, 510]
Generated Node #2: [96, 34, 510] from Operation: 6*85=510
Current State: 81:[96, 34, 510], Operations: ['6*85=510']
Exploring Operation: 510/34=15, Resulting Numbers: [96, 15]
Generated Node #3: [96, 15] from Operation: 510/34=15
Current State: 81:[96, 15], Operations: ['6*85=510', '510/34=15']
Exploring Operation: 96-15=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
[
78,
44,
18,
56
] | 36
|
[
"78-56=22",
"44*18=792",
"792/22=36"
] |
Current State: 36:[78, 44, 18, 56], Operations: []
Exploring Operation: 78-56=22, Resulting Numbers: [44, 18, 22]
Generated Node #2: [44, 18, 22] from Operation: 78-56=22
Current State: 36:[44, 18, 22], Operations: ['78-56=22']
Exploring Operation: 44*18=792, Resulting Numbers: [22, 792]
Generated Node #3: [22, 792] from Operation: 44*18=792
Current State: 36:[22, 792], Operations: ['78-56=22', '44*18=792']
Exploring Operation: 792/22=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
[
44,
31,
46,
23
] | 11
|
[
"44-31=13",
"46/23=2",
"13-2=11"
] |
Current State: 11:[44, 31, 46, 23], Operations: []
Exploring Operation: 44-31=13, Resulting Numbers: [46, 23, 13]
Generated Node #2: [46, 23, 13] from Operation: 44-31=13
Current State: 11:[46, 23, 13], Operations: ['44-31=13']
Exploring Operation: 46/23=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 46/23=2
Current State: 11:[13, 2], Operations: ['44-31=13', '46/23=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
92,
72,
54,
36
] | 42
|
[
"92-36=56",
"54*56=3024",
"3024/72=42"
] |
Current State: 42:[92, 72, 54, 36], Operations: []
Exploring Operation: 92-36=56, Resulting Numbers: [72, 54, 56]
Generated Node #2: [72, 54, 56] from Operation: 92-36=56
Current State: 42:[72, 54, 56], Operations: ['92-36=56']
Exploring Operation: 54*56=3024, Resulting Numbers: [72, 3024]
Generated Node #3: [72, 3024] from Operation: 54*56=3024
Current State: 42:[72, 3024], Operations: ['92-36=56', '54*56=3024']
Exploring Operation: 3024/72=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
[
20,
8,
10,
34
] | 46
|
[
"20-10=10",
"8*10=80",
"80-34=46"
] |
Current State: 46:[20, 8, 10, 34], Operations: []
Exploring Operation: 20-10=10, Resulting Numbers: [8, 34, 10]
Generated Node #2: [8, 34, 10] from Operation: 20-10=10
Current State: 46:[8, 34, 10], Operations: ['20-10=10']
Exploring Operation: 8*10=80, Resulting Numbers: [34, 80]
Generated Node #3: [34, 80] from Operation: 8*10=80
Current State: 46:[34, 80], Operations: ['20-10=10', '8*10=80']
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
[
50,
27,
4,
56
] | 37
|
[
"50-27=23",
"4+56=60",
"60-23=37"
] |
Current State: 37:[50, 27, 4, 56], Operations: []
Exploring Operation: 50-27=23, Resulting Numbers: [4, 56, 23]
Generated Node #2: [4, 56, 23] from Operation: 50-27=23
Current State: 37:[4, 56, 23], Operations: ['50-27=23']
Exploring Operation: 4+56=60, Resulting Numbers: [23, 60]
Generated Node #3: [23, 60] from Operation: 4+56=60
Current State: 37:[23, 60], Operations: ['50-27=23', '4+56=60']
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
[
62,
73,
45,
88
] | 53
|
[
"73-62=11",
"88/11=8",
"45+8=53"
] |
Current State: 53:[62, 73, 45, 88], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [45, 88, 11]
Generated Node #2: [45, 88, 11] from Operation: 73-62=11
Current State: 53:[45, 88, 11], Operations: ['73-62=11']
Exploring Operation: 88/11=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 88/11=8
Current State: 53:[45, 8], Operations: ['73-62=11', '88/11=8']
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
3,
96,
57,
61
] | 16
|
[
"57/3=19",
"96-61=35",
"35-19=16"
] |
Current State: 16:[3, 96, 57, 61], Operations: []
Exploring Operation: 57/3=19, Resulting Numbers: [96, 61, 19]
Generated Node #2: [96, 61, 19] from Operation: 57/3=19
Current State: 16:[96, 61, 19], Operations: ['57/3=19']
Exploring Operation: 96-61=35, Resulting Numbers: [19, 35]
Generated Node #3: [19, 35] from Operation: 96-61=35
Current State: 16:[19, 35], Operations: ['57/3=19', '96-61=35']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
13,
3,
2,
93
] | 100
|
[
"13+93=106",
"3*2=6",
"106-6=100"
] |
Current State: 100:[13, 3, 2, 93], Operations: []
Exploring Operation: 13+93=106, Resulting Numbers: [3, 2, 106]
Generated Node #2: [3, 2, 106] from Operation: 13+93=106
Current State: 100:[3, 2, 106], Operations: ['13+93=106']
Exploring Operation: 3*2=6, Resulting Numbers: [106, 6]
Generated Node #3: [106, 6] from Operation: 3*2=6
Current State: 100:[106, 6], Operations: ['13+93=106', '3*2=6']
Exploring Operation: 106-6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
[
24,
50,
3,
52
] | 10
|
[
"24/3=8",
"52-50=2",
"8+2=10"
] |
Current State: 10:[24, 50, 3, 52], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [50, 52, 8]
Generated Node #2: [50, 52, 8] from Operation: 24/3=8
Current State: 10:[50, 52, 8], Operations: ['24/3=8']
Exploring Operation: 52-50=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 52-50=2
Current State: 10:[8, 2], Operations: ['24/3=8', '52-50=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
[
63,
7,
16,
63
] | 56
|
[
"63/7=9",
"63-16=47",
"9+47=56"
] |
Current State: 56:[63, 7, 16, 63], Operations: []
Exploring Operation: 63/7=9, Resulting Numbers: [16, 9]
Generated Node #2: [16, 9] from Operation: 63/7=9
Current State: 56:[16, 9], Operations: ['63/7=9']
Exploring Operation: 63-16=47, Resulting Numbers: [9, 47]
Generated Node #3: [9, 47] from Operation: 63-16=47
Current State: 56:[9, 47], Operations: ['63/7=9', '63-16=47']
Exploring Operation: 9+47=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
51,
3,
42,
70
] | 43
|
[
"51-42=9",
"3*9=27",
"70-27=43"
] |
Current State: 43:[51, 3, 42, 70], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [3, 70, 9]
Generated Node #2: [3, 70, 9] from Operation: 51-42=9
Current State: 43:[3, 70, 9], Operations: ['51-42=9']
Exploring Operation: 3*9=27, Resulting Numbers: [70, 27]
Generated Node #3: [70, 27] from Operation: 3*9=27
Current State: 43:[70, 27], Operations: ['51-42=9', '3*9=27']
Exploring Operation: 70-27=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
[
64,
33,
78,
77
] | 96
|
[
"64+33=97",
"78-77=1",
"97-1=96"
] |
Current State: 96:[64, 33, 78, 77], Operations: []
Exploring Operation: 64+33=97, Resulting Numbers: [78, 77, 97]
Generated Node #2: [78, 77, 97] from Operation: 64+33=97
Current State: 96:[78, 77, 97], Operations: ['64+33=97']
Exploring Operation: 78-77=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 78-77=1
Current State: 96:[97, 1], Operations: ['64+33=97', '78-77=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
14,
28,
1,
27
] | 70
|
[
"14+28=42",
"1+27=28",
"42+28=70"
] |
Current State: 70:[14, 28, 1, 27], Operations: []
Exploring Operation: 14+28=42, Resulting Numbers: [1, 27, 42]
Generated Node #2: [1, 27, 42] from Operation: 14+28=42
Current State: 70:[1, 27, 42], Operations: ['14+28=42']
Exploring Operation: 1+27=28, Resulting Numbers: [42, 28]
Generated Node #3: [42, 28] from Operation: 1+27=28
Current State: 70:[42, 28], Operations: ['14+28=42', '1+27=28']
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
[
29,
2,
31,
63
] | 99
|
[
"63-29=34",
"2*34=68",
"31+68=99"
] |
Current State: 99:[29, 2, 31, 63], Operations: []
Exploring Operation: 63-29=34, Resulting Numbers: [2, 31, 34]
Generated Node #2: [2, 31, 34] from Operation: 63-29=34
Current State: 99:[2, 31, 34], Operations: ['63-29=34']
Exploring Operation: 2*34=68, Resulting Numbers: [31, 68]
Generated Node #3: [31, 68] from Operation: 2*34=68
Current State: 99:[31, 68], Operations: ['63-29=34', '2*34=68']
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
[
97,
97,
2,
34
] | 66
|
[
"97/97=1",
"34-1=33",
"2*33=66"
] |
Current State: 66:[97, 97, 2, 34], Operations: []
Exploring Operation: 97/97=1, Resulting Numbers: [2, 34, 1]
Generated Node #2: [2, 34, 1] from Operation: 97/97=1
Current State: 66:[2, 34, 1], Operations: ['97/97=1']
Exploring Operation: 34-1=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 34-1=33
Current State: 66:[2, 33], Operations: ['97/97=1', '34-1=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
[
69,
1,
2,
5
] | 80
|
[
"69+1=70",
"2*5=10",
"70+10=80"
] |
Current State: 80:[69, 1, 2, 5], Operations: []
Exploring Operation: 69+1=70, Resulting Numbers: [2, 5, 70]
Generated Node #2: [2, 5, 70] from Operation: 69+1=70
Current State: 80:[2, 5, 70], Operations: ['69+1=70']
Exploring Operation: 2*5=10, Resulting Numbers: [70, 10]
Generated Node #3: [70, 10] from Operation: 2*5=10
Current State: 80:[70, 10], Operations: ['69+1=70', '2*5=10']
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
[
54,
10,
40,
50
] | 10
|
[
"54*10=540",
"540-40=500",
"500/50=10"
] |
Current State: 10:[54, 10, 40, 50], Operations: []
Exploring Operation: 54*10=540, Resulting Numbers: [40, 50, 540]
Generated Node #2: [40, 50, 540] from Operation: 54*10=540
Current State: 10:[40, 50, 540], Operations: ['54*10=540']
Exploring Operation: 540-40=500, Resulting Numbers: [50, 500]
Generated Node #3: [50, 500] from Operation: 540-40=500
Current State: 10:[50, 500], Operations: ['54*10=540', '540-40=500']
Exploring Operation: 500/50=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.