nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
|---|---|---|---|---|
[
13,
9,
21,
75
] | 58
|
[
"13-9=4",
"75-21=54",
"4+54=58"
] |
Current State: 58:[13, 9, 21, 75], Operations: []
Exploring Operation: 13-9=4, Resulting Numbers: [21, 75, 4]
Generated Node #2: [21, 75, 4] from Operation: 13-9=4
Current State: 58:[21, 75, 4], Operations: ['13-9=4']
Exploring Operation: 75-21=54, Resulting Numbers: [4, 54]
Generated Node #3: [4, 54] from Operation: 75-21=54
Current State: 58:[4, 54], Operations: ['13-9=4', '75-21=54']
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
[
76,
29,
48,
80
] | 73
|
[
"76+29=105",
"80-48=32",
"105-32=73"
] |
Current State: 73:[76, 29, 48, 80], Operations: []
Exploring Operation: 76+29=105, Resulting Numbers: [48, 80, 105]
Generated Node #2: [48, 80, 105] from Operation: 76+29=105
Current State: 73:[48, 80, 105], Operations: ['76+29=105']
Exploring Operation: 80-48=32, Resulting Numbers: [105, 32]
Generated Node #3: [105, 32] from Operation: 80-48=32
Current State: 73:[105, 32], Operations: ['76+29=105', '80-48=32']
Exploring Operation: 105-32=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
[
32,
12,
64,
48
] | 82
|
[
"12*48=576",
"576/32=18",
"64+18=82"
] |
Current State: 82:[32, 12, 64, 48], Operations: []
Exploring Operation: 12*48=576, Resulting Numbers: [32, 64, 576]
Generated Node #2: [32, 64, 576] from Operation: 12*48=576
Current State: 82:[32, 64, 576], Operations: ['12*48=576']
Exploring Operation: 576/32=18, Resulting Numbers: [64, 18]
Generated Node #3: [64, 18] from Operation: 576/32=18
Current State: 82:[64, 18], Operations: ['12*48=576', '576/32=18']
Exploring Operation: 64+18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
[
5,
8,
47,
77
] | 17
|
[
"5+8=13",
"77-47=30",
"30-13=17"
] |
Current State: 17:[5, 8, 47, 77], Operations: []
Exploring Operation: 5+8=13, Resulting Numbers: [47, 77, 13]
Generated Node #2: [47, 77, 13] from Operation: 5+8=13
Current State: 17:[47, 77, 13], Operations: ['5+8=13']
Exploring Operation: 77-47=30, Resulting Numbers: [13, 30]
Generated Node #3: [13, 30] from Operation: 77-47=30
Current State: 17:[13, 30], Operations: ['5+8=13', '77-47=30']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
[
8,
45,
75,
20
] | 42
|
[
"8+45=53",
"75+20=95",
"95-53=42"
] |
Current State: 42:[8, 45, 75, 20], Operations: []
Exploring Operation: 8+45=53, Resulting Numbers: [75, 20, 53]
Generated Node #2: [75, 20, 53] from Operation: 8+45=53
Current State: 42:[75, 20, 53], Operations: ['8+45=53']
Exploring Operation: 75+20=95, Resulting Numbers: [53, 95]
Generated Node #3: [53, 95] from Operation: 75+20=95
Current State: 42:[53, 95], Operations: ['8+45=53', '75+20=95']
Exploring Operation: 95-53=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
[
8,
14,
40,
27
] | 46
|
[
"40/8=5",
"14+27=41",
"5+41=46"
] |
Current State: 46:[8, 14, 40, 27], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [14, 27, 5]
Generated Node #2: [14, 27, 5] from Operation: 40/8=5
Current State: 46:[14, 27, 5], Operations: ['40/8=5']
Exploring Operation: 14+27=41, Resulting Numbers: [5, 41]
Generated Node #3: [5, 41] from Operation: 14+27=41
Current State: 46:[5, 41], Operations: ['40/8=5', '14+27=41']
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
[
71,
8,
20,
68
] | 25
|
[
"71*8=568",
"568-68=500",
"500/20=25"
] |
Current State: 25:[71, 8, 20, 68], Operations: []
Exploring Operation: 71*8=568, Resulting Numbers: [20, 68, 568]
Generated Node #2: [20, 68, 568] from Operation: 71*8=568
Current State: 25:[20, 68, 568], Operations: ['71*8=568']
Exploring Operation: 568-68=500, Resulting Numbers: [20, 500]
Generated Node #3: [20, 500] from Operation: 568-68=500
Current State: 25:[20, 500], Operations: ['71*8=568', '568-68=500']
Exploring Operation: 500/20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
[
14,
33,
43,
15
] | 66
|
[
"43-15=28",
"28/14=2",
"33*2=66"
] |
Current State: 66:[14, 33, 43, 15], Operations: []
Exploring Operation: 43-15=28, Resulting Numbers: [14, 33, 28]
Generated Node #2: [14, 33, 28] from Operation: 43-15=28
Current State: 66:[14, 33, 28], Operations: ['43-15=28']
Exploring Operation: 28/14=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 28/14=2
Current State: 66:[33, 2], Operations: ['43-15=28', '28/14=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
[
9,
21,
78,
23
] | 71
|
[
"9+21=30",
"78+23=101",
"101-30=71"
] |
Current State: 71:[9, 21, 78, 23], Operations: []
Exploring Operation: 9+21=30, Resulting Numbers: [78, 23, 30]
Generated Node #2: [78, 23, 30] from Operation: 9+21=30
Current State: 71:[78, 23, 30], Operations: ['9+21=30']
Exploring Operation: 78+23=101, Resulting Numbers: [30, 101]
Generated Node #3: [30, 101] from Operation: 78+23=101
Current State: 71:[30, 101], Operations: ['9+21=30', '78+23=101']
Exploring Operation: 101-30=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
36,
66,
5,
51
] | 56
|
[
"36+66=102",
"51-5=46",
"102-46=56"
] |
Current State: 56:[36, 66, 5, 51], Operations: []
Exploring Operation: 36+66=102, Resulting Numbers: [5, 51, 102]
Generated Node #2: [5, 51, 102] from Operation: 36+66=102
Current State: 56:[5, 51, 102], Operations: ['36+66=102']
Exploring Operation: 51-5=46, Resulting Numbers: [102, 46]
Generated Node #3: [102, 46] from Operation: 51-5=46
Current State: 56:[102, 46], Operations: ['36+66=102', '51-5=46']
Exploring Operation: 102-46=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
56,
73,
87,
28
] | 58
|
[
"87-73=14",
"28/14=2",
"56+2=58"
] |
Current State: 58:[56, 73, 87, 28], Operations: []
Exploring Operation: 87-73=14, Resulting Numbers: [56, 28, 14]
Generated Node #2: [56, 28, 14] from Operation: 87-73=14
Current State: 58:[56, 28, 14], Operations: ['87-73=14']
Exploring Operation: 28/14=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 28/14=2
Current State: 58:[56, 2], Operations: ['87-73=14', '28/14=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
[
86,
11,
6,
61
] | 98
|
[
"11+61=72",
"72/6=12",
"86+12=98"
] |
Current State: 98:[86, 11, 6, 61], Operations: []
Exploring Operation: 11+61=72, Resulting Numbers: [86, 6, 72]
Generated Node #2: [86, 6, 72] from Operation: 11+61=72
Current State: 98:[86, 6, 72], Operations: ['11+61=72']
Exploring Operation: 72/6=12, Resulting Numbers: [86, 12]
Generated Node #3: [86, 12] from Operation: 72/6=12
Current State: 98:[86, 12], Operations: ['11+61=72', '72/6=12']
Exploring Operation: 86+12=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4
|
[
50,
31,
15,
25
] | 18
|
[
"50/25=2",
"31-15=16",
"2+16=18"
] |
Current State: 18:[50, 31, 15, 25], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [31, 15, 2]
Generated Node #2: [31, 15, 2] from Operation: 50/25=2
Current State: 18:[31, 15, 2], Operations: ['50/25=2']
Exploring Operation: 31-15=16, Resulting Numbers: [2, 16]
Generated Node #3: [2, 16] from Operation: 31-15=16
Current State: 18:[2, 16], Operations: ['50/25=2', '31-15=16']
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
[
84,
75,
53,
53
] | 50
|
[
"84+75=159",
"159/53=3",
"53-3=50"
] |
Current State: 50:[84, 75, 53, 53], Operations: []
Exploring Operation: 84+75=159, Resulting Numbers: [53, 53, 159]
Generated Node #2: [53, 53, 159] from Operation: 84+75=159
Current State: 50:[53, 53, 159], Operations: ['84+75=159']
Exploring Operation: 159/53=3, Resulting Numbers: [3]
3,50 equal: Goal Reached
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
[
11,
24,
6,
82
] | 89
|
[
"24-11=13",
"82-6=76",
"13+76=89"
] |
Current State: 89:[11, 24, 6, 82], Operations: []
Exploring Operation: 24-11=13, Resulting Numbers: [6, 82, 13]
Generated Node #2: [6, 82, 13] from Operation: 24-11=13
Current State: 89:[6, 82, 13], Operations: ['24-11=13']
Exploring Operation: 82-6=76, Resulting Numbers: [13, 76]
Generated Node #3: [13, 76] from Operation: 82-6=76
Current State: 89:[13, 76], Operations: ['24-11=13', '82-6=76']
Exploring Operation: 13+76=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
[
19,
75,
3,
90
] | 78
|
[
"75-19=56",
"3*56=168",
"168-90=78"
] |
Current State: 78:[19, 75, 3, 90], Operations: []
Exploring Operation: 75-19=56, Resulting Numbers: [3, 90, 56]
Generated Node #2: [3, 90, 56] from Operation: 75-19=56
Current State: 78:[3, 90, 56], Operations: ['75-19=56']
Exploring Operation: 3*56=168, Resulting Numbers: [90, 168]
Generated Node #3: [90, 168] from Operation: 3*56=168
Current State: 78:[90, 168], Operations: ['75-19=56', '3*56=168']
Exploring Operation: 168-90=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
[
21,
13,
56,
91
] | 53
|
[
"21*13=273",
"273/91=3",
"56-3=53"
] |
Current State: 53:[21, 13, 56, 91], Operations: []
Exploring Operation: 21*13=273, Resulting Numbers: [56, 91, 273]
Generated Node #2: [56, 91, 273] from Operation: 21*13=273
Current State: 53:[56, 91, 273], Operations: ['21*13=273']
Exploring Operation: 273/91=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 273/91=3
Current State: 53:[56, 3], Operations: ['21*13=273', '273/91=3']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
29,
52,
37,
36
] | 22
|
[
"52-29=23",
"37-36=1",
"23-1=22"
] |
Current State: 22:[29, 52, 37, 36], Operations: []
Exploring Operation: 52-29=23, Resulting Numbers: [37, 36, 23]
Generated Node #2: [37, 36, 23] from Operation: 52-29=23
Current State: 22:[37, 36, 23], Operations: ['52-29=23']
Exploring Operation: 37-36=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 37-36=1
Current State: 22:[23, 1], Operations: ['52-29=23', '37-36=1']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
[
73,
18,
64,
76
] | 85
|
[
"73-18=55",
"64+76=140",
"140-55=85"
] |
Current State: 85:[73, 18, 64, 76], Operations: []
Exploring Operation: 73-18=55, Resulting Numbers: [64, 76, 55]
Generated Node #2: [64, 76, 55] from Operation: 73-18=55
Current State: 85:[64, 76, 55], Operations: ['73-18=55']
Exploring Operation: 64+76=140, Resulting Numbers: [55, 140]
Generated Node #3: [55, 140] from Operation: 64+76=140
Current State: 85:[55, 140], Operations: ['73-18=55', '64+76=140']
Exploring Operation: 140-55=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
76,
39,
46,
81
] | 80
|
[
"76+39=115",
"81-46=35",
"115-35=80"
] |
Current State: 80:[76, 39, 46, 81], Operations: []
Exploring Operation: 76+39=115, Resulting Numbers: [46, 81, 115]
Generated Node #2: [46, 81, 115] from Operation: 76+39=115
Current State: 80:[46, 81, 115], Operations: ['76+39=115']
Exploring Operation: 81-46=35, Resulting Numbers: [115, 35]
Generated Node #3: [115, 35] from Operation: 81-46=35
Current State: 80:[115, 35], Operations: ['76+39=115', '81-46=35']
Exploring Operation: 115-35=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
[
92,
75,
92,
23
] | 86
|
[
"92-75=17",
"92-23=69",
"17+69=86"
] |
Current State: 86:[92, 75, 92, 23], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [23, 17]
Generated Node #2: [23, 17] from Operation: 92-75=17
Current State: 86:[23, 17], Operations: ['92-75=17']
Exploring Operation: 92-23=69, Resulting Numbers: [17, 69]
Generated Node #3: [17, 69] from Operation: 92-23=69
Current State: 86:[17, 69], Operations: ['92-75=17', '92-23=69']
Exploring Operation: 17+69=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
2,
10,
40,
16
] | 17
|
[
"10+40=50",
"50-16=34",
"34/2=17"
] |
Current State: 17:[2, 10, 40, 16], Operations: []
Exploring Operation: 10+40=50, Resulting Numbers: [2, 16, 50]
Generated Node #2: [2, 16, 50] from Operation: 10+40=50
Current State: 17:[2, 16, 50], Operations: ['10+40=50']
Exploring Operation: 50-16=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 50-16=34
Current State: 17:[2, 34], Operations: ['10+40=50', '50-16=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
[
8,
72,
91,
71
] | 82
|
[
"8+72=80",
"91+71=162",
"162-80=82"
] |
Current State: 82:[8, 72, 91, 71], Operations: []
Exploring Operation: 8+72=80, Resulting Numbers: [91, 71, 80]
Generated Node #2: [91, 71, 80] from Operation: 8+72=80
Current State: 82:[91, 71, 80], Operations: ['8+72=80']
Exploring Operation: 91+71=162, Resulting Numbers: [80, 162]
Generated Node #3: [80, 162] from Operation: 91+71=162
Current State: 82:[80, 162], Operations: ['8+72=80', '91+71=162']
Exploring Operation: 162-80=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
[
39,
13,
59,
75
] | 48
|
[
"39/13=3",
"75-59=16",
"3*16=48"
] |
Current State: 48:[39, 13, 59, 75], Operations: []
Exploring Operation: 39/13=3, Resulting Numbers: [59, 75, 3]
Generated Node #2: [59, 75, 3] from Operation: 39/13=3
Current State: 48:[59, 75, 3], Operations: ['39/13=3']
Exploring Operation: 75-59=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 75-59=16
Current State: 48:[3, 16], Operations: ['39/13=3', '75-59=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
[
56,
68,
68,
17
] | 38
|
[
"56-17=39",
"68/68=1",
"39-1=38"
] |
Current State: 38:[56, 68, 68, 17], Operations: []
Exploring Operation: 56-17=39, Resulting Numbers: [68, 68, 39]
Generated Node #2: [68, 68, 39] from Operation: 56-17=39
Current State: 38:[68, 68, 39], Operations: ['56-17=39']
Exploring Operation: 68/68=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 68/68=1
Current State: 38:[39, 1], Operations: ['56-17=39', '68/68=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
[
79,
5,
36,
61
] | 40
|
[
"79+61=140",
"5*36=180",
"180-140=40"
] |
Current State: 40:[79, 5, 36, 61], Operations: []
Exploring Operation: 79+61=140, Resulting Numbers: [5, 36, 140]
Generated Node #2: [5, 36, 140] from Operation: 79+61=140
Current State: 40:[5, 36, 140], Operations: ['79+61=140']
Exploring Operation: 5*36=180, Resulting Numbers: [140, 180]
Generated Node #3: [140, 180] from Operation: 5*36=180
Current State: 40:[140, 180], Operations: ['79+61=140', '5*36=180']
Exploring Operation: 180-140=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
[
17,
39,
52,
13
] | 15
|
[
"39-13=26",
"52/26=2",
"17-2=15"
] |
Current State: 15:[17, 39, 52, 13], Operations: []
Exploring Operation: 39-13=26, Resulting Numbers: [17, 52, 26]
Generated Node #2: [17, 52, 26] from Operation: 39-13=26
Current State: 15:[17, 52, 26], Operations: ['39-13=26']
Exploring Operation: 52/26=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 52/26=2
Current State: 15:[17, 2], Operations: ['39-13=26', '52/26=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
[
81,
73,
30,
62
] | 84
|
[
"81-73=8",
"30+62=92",
"92-8=84"
] |
Current State: 84:[81, 73, 30, 62], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [30, 62, 8]
Generated Node #2: [30, 62, 8] from Operation: 81-73=8
Current State: 84:[30, 62, 8], Operations: ['81-73=8']
Exploring Operation: 30+62=92, Resulting Numbers: [8, 92]
Generated Node #3: [8, 92] from Operation: 30+62=92
Current State: 84:[8, 92], Operations: ['81-73=8', '30+62=92']
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
[
81,
28,
7,
75
] | 28
|
[
"81-7=74",
"75-74=1",
"28*1=28"
] |
Current State: 28:[81, 28, 7, 75], Operations: []
Exploring Operation: 81-7=74, Resulting Numbers: [28, 75, 74]
Generated Node #2: [28, 75, 74] from Operation: 81-7=74
Current State: 28:[28, 75, 74], Operations: ['81-7=74']
Exploring Operation: 75-74=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 75-74=1
Current State: 28:[28, 1], Operations: ['81-7=74', '75-74=1']
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
[
35,
87,
16,
7
] | 99
|
[
"35+87=122",
"16+7=23",
"122-23=99"
] |
Current State: 99:[35, 87, 16, 7], Operations: []
Exploring Operation: 35+87=122, Resulting Numbers: [16, 7, 122]
Generated Node #2: [16, 7, 122] from Operation: 35+87=122
Current State: 99:[16, 7, 122], Operations: ['35+87=122']
Exploring Operation: 16+7=23, Resulting Numbers: [122, 23]
Generated Node #3: [122, 23] from Operation: 16+7=23
Current State: 99:[122, 23], Operations: ['35+87=122', '16+7=23']
Exploring Operation: 122-23=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
[
58,
81,
37,
63
] | 77
|
[
"81-58=23",
"37+63=100",
"100-23=77"
] |
Current State: 77:[58, 81, 37, 63], Operations: []
Exploring Operation: 81-58=23, Resulting Numbers: [37, 63, 23]
Generated Node #2: [37, 63, 23] from Operation: 81-58=23
Current State: 77:[37, 63, 23], Operations: ['81-58=23']
Exploring Operation: 37+63=100, Resulting Numbers: [23, 100]
Generated Node #3: [23, 100] from Operation: 37+63=100
Current State: 77:[23, 100], Operations: ['81-58=23', '37+63=100']
Exploring Operation: 100-23=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
[
21,
68,
9,
18
] | 56
|
[
"68-21=47",
"18-9=9",
"47+9=56"
] |
Current State: 56:[21, 68, 9, 18], Operations: []
Exploring Operation: 68-21=47, Resulting Numbers: [9, 18, 47]
Generated Node #2: [9, 18, 47] from Operation: 68-21=47
Current State: 56:[9, 18, 47], Operations: ['68-21=47']
Exploring Operation: 18-9=9, Resulting Numbers: [47, 9]
Generated Node #3: [47, 9] from Operation: 18-9=9
Current State: 56:[47, 9], Operations: ['68-21=47', '18-9=9']
Exploring Operation: 47+9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
90,
30,
28,
20
] | 96
|
[
"90*28=2520",
"2520/20=126",
"126-30=96"
] |
Current State: 96:[90, 30, 28, 20], Operations: []
Exploring Operation: 90*28=2520, Resulting Numbers: [30, 20, 2520]
Generated Node #2: [30, 20, 2520] from Operation: 90*28=2520
Current State: 96:[30, 20, 2520], Operations: ['90*28=2520']
Exploring Operation: 2520/20=126, Resulting Numbers: [30, 126]
Generated Node #3: [30, 126] from Operation: 2520/20=126
Current State: 96:[30, 126], Operations: ['90*28=2520', '2520/20=126']
Exploring Operation: 126-30=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
7,
96,
2,
88
] | 90
|
[
"96-7=89",
"2*89=178",
"178-88=90"
] |
Current State: 90:[7, 96, 2, 88], Operations: []
Exploring Operation: 96-7=89, Resulting Numbers: [2, 88, 89]
Generated Node #2: [2, 88, 89] from Operation: 96-7=89
Current State: 90:[2, 88, 89], Operations: ['96-7=89']
Exploring Operation: 2*89=178, Resulting Numbers: [88, 178]
Generated Node #3: [88, 178] from Operation: 2*89=178
Current State: 90:[88, 178], Operations: ['96-7=89', '2*89=178']
Exploring Operation: 178-88=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
[
5,
31,
29,
15
] | 80
|
[
"5+31=36",
"29+15=44",
"36+44=80"
] |
Current State: 80:[5, 31, 29, 15], Operations: []
Exploring Operation: 5+31=36, Resulting Numbers: [29, 15, 36]
Generated Node #2: [29, 15, 36] from Operation: 5+31=36
Current State: 80:[29, 15, 36], Operations: ['5+31=36']
Exploring Operation: 29+15=44, Resulting Numbers: [36, 44]
Generated Node #3: [36, 44] from Operation: 29+15=44
Current State: 80:[36, 44], Operations: ['5+31=36', '29+15=44']
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
[
52,
5,
9,
65
] | 13
|
[
"52*5=260",
"260/65=4",
"9+4=13"
] |
Current State: 13:[52, 5, 9, 65], Operations: []
Exploring Operation: 52*5=260, Resulting Numbers: [9, 65, 260]
Generated Node #2: [9, 65, 260] from Operation: 52*5=260
Current State: 13:[9, 65, 260], Operations: ['52*5=260']
Exploring Operation: 260/65=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 260/65=4
Current State: 13:[9, 4], Operations: ['52*5=260', '260/65=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
56,
44,
6,
45
] | 24
|
[
"56-45=11",
"44*6=264",
"264/11=24"
] |
Current State: 24:[56, 44, 6, 45], Operations: []
Exploring Operation: 56-45=11, Resulting Numbers: [44, 6, 11]
Generated Node #2: [44, 6, 11] from Operation: 56-45=11
Current State: 24:[44, 6, 11], Operations: ['56-45=11']
Exploring Operation: 44*6=264, Resulting Numbers: [11, 264]
Generated Node #3: [11, 264] from Operation: 44*6=264
Current State: 24:[11, 264], Operations: ['56-45=11', '44*6=264']
Exploring Operation: 264/11=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
[
6,
3,
39,
50
] | 35
|
[
"6+39=45",
"45/3=15",
"50-15=35"
] |
Current State: 35:[6, 3, 39, 50], Operations: []
Exploring Operation: 6+39=45, Resulting Numbers: [3, 50, 45]
Generated Node #2: [3, 50, 45] from Operation: 6+39=45
Current State: 35:[3, 50, 45], Operations: ['6+39=45']
Exploring Operation: 45/3=15, Resulting Numbers: [50, 15]
Generated Node #3: [50, 15] from Operation: 45/3=15
Current State: 35:[50, 15], Operations: ['6+39=45', '45/3=15']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
[
51,
48,
81,
25
] | 59
|
[
"51-48=3",
"81-25=56",
"3+56=59"
] |
Current State: 59:[51, 48, 81, 25], Operations: []
Exploring Operation: 51-48=3, Resulting Numbers: [81, 25, 3]
Generated Node #2: [81, 25, 3] from Operation: 51-48=3
Current State: 59:[81, 25, 3], Operations: ['51-48=3']
Exploring Operation: 81-25=56, Resulting Numbers: [3, 56]
Generated Node #3: [3, 56] from Operation: 81-25=56
Current State: 59:[3, 56], Operations: ['51-48=3', '81-25=56']
Exploring Operation: 3+56=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
31,
17,
9,
73
] | 78
|
[
"31-17=14",
"73-9=64",
"14+64=78"
] |
Current State: 78:[31, 17, 9, 73], Operations: []
Exploring Operation: 31-17=14, Resulting Numbers: [9, 73, 14]
Generated Node #2: [9, 73, 14] from Operation: 31-17=14
Current State: 78:[9, 73, 14], Operations: ['31-17=14']
Exploring Operation: 73-9=64, Resulting Numbers: [14, 64]
Generated Node #3: [14, 64] from Operation: 73-9=64
Current State: 78:[14, 64], Operations: ['31-17=14', '73-9=64']
Exploring Operation: 14+64=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
[
88,
64,
38,
35
] | 79
|
[
"88+64=152",
"38+35=73",
"152-73=79"
] |
Current State: 79:[88, 64, 38, 35], Operations: []
Exploring Operation: 88+64=152, Resulting Numbers: [38, 35, 152]
Generated Node #2: [38, 35, 152] from Operation: 88+64=152
Current State: 79:[38, 35, 152], Operations: ['88+64=152']
Exploring Operation: 38+35=73, Resulting Numbers: [152, 73]
Generated Node #3: [152, 73] from Operation: 38+35=73
Current State: 79:[152, 73], Operations: ['88+64=152', '38+35=73']
Exploring Operation: 152-73=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
22,
88,
83,
89
] | 21
|
[
"88-83=5",
"22*5=110",
"110-89=21"
] |
Current State: 21:[22, 88, 83, 89], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [22, 89, 5]
Generated Node #2: [22, 89, 5] from Operation: 88-83=5
Current State: 21:[22, 89, 5], Operations: ['88-83=5']
Exploring Operation: 22*5=110, Resulting Numbers: [89, 110]
Generated Node #3: [89, 110] from Operation: 22*5=110
Current State: 21:[89, 110], Operations: ['88-83=5', '22*5=110']
Exploring Operation: 110-89=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4
|
[
46,
35,
47,
41
] | 23
|
[
"46*41=1886",
"35+47=82",
"1886/82=23"
] |
Current State: 23:[46, 35, 47, 41], Operations: []
Exploring Operation: 46*41=1886, Resulting Numbers: [35, 47, 1886]
Generated Node #2: [35, 47, 1886] from Operation: 46*41=1886
Current State: 23:[35, 47, 1886], Operations: ['46*41=1886']
Exploring Operation: 35+47=82, Resulting Numbers: [1886, 82]
Generated Node #3: [1886, 82] from Operation: 35+47=82
Current State: 23:[1886, 82], Operations: ['46*41=1886', '35+47=82']
Exploring Operation: 1886/82=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
[
23,
43,
3,
25
] | 31
|
[
"43-25=18",
"3*18=54",
"54-23=31"
] |
Current State: 31:[23, 43, 3, 25], Operations: []
Exploring Operation: 43-25=18, Resulting Numbers: [23, 3, 18]
Generated Node #2: [23, 3, 18] from Operation: 43-25=18
Current State: 31:[23, 3, 18], Operations: ['43-25=18']
Exploring Operation: 3*18=54, Resulting Numbers: [23, 54]
Generated Node #3: [23, 54] from Operation: 3*18=54
Current State: 31:[23, 54], Operations: ['43-25=18', '3*18=54']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
[
95,
54,
80,
40
] | 82
|
[
"95-54=41",
"80/40=2",
"41*2=82"
] |
Current State: 82:[95, 54, 80, 40], Operations: []
Exploring Operation: 95-54=41, Resulting Numbers: [80, 40, 41]
Generated Node #2: [80, 40, 41] from Operation: 95-54=41
Current State: 82:[80, 40, 41], Operations: ['95-54=41']
Exploring Operation: 80/40=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 80/40=2
Current State: 82:[41, 2], Operations: ['95-54=41', '80/40=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
[
24,
73,
18,
63
] | 16
|
[
"24+73=97",
"18+63=81",
"97-81=16"
] |
Current State: 16:[24, 73, 18, 63], Operations: []
Exploring Operation: 24+73=97, Resulting Numbers: [18, 63, 97]
Generated Node #2: [18, 63, 97] from Operation: 24+73=97
Current State: 16:[18, 63, 97], Operations: ['24+73=97']
Exploring Operation: 18+63=81, Resulting Numbers: [97, 81]
Generated Node #3: [97, 81] from Operation: 18+63=81
Current State: 16:[97, 81], Operations: ['24+73=97', '18+63=81']
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
[
32,
29,
16,
6
] | 33
|
[
"32/16=2",
"29+6=35",
"35-2=33"
] |
Current State: 33:[32, 29, 16, 6], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [29, 6, 2]
Generated Node #2: [29, 6, 2] from Operation: 32/16=2
Current State: 33:[29, 6, 2], Operations: ['32/16=2']
Exploring Operation: 29+6=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 29+6=35
Current State: 33:[2, 35], Operations: ['32/16=2', '29+6=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
[
32,
51,
67,
58
] | 56
|
[
"67-51=16",
"32/16=2",
"58-2=56"
] |
Current State: 56:[32, 51, 67, 58], Operations: []
Exploring Operation: 67-51=16, Resulting Numbers: [32, 58, 16]
Generated Node #2: [32, 58, 16] from Operation: 67-51=16
Current State: 56:[32, 58, 16], Operations: ['67-51=16']
Exploring Operation: 32/16=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 32/16=2
Current State: 56:[58, 2], Operations: ['67-51=16', '32/16=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
[
54,
85,
4,
51
] | 84
|
[
"54+85=139",
"4+51=55",
"139-55=84"
] |
Current State: 84:[54, 85, 4, 51], Operations: []
Exploring Operation: 54+85=139, Resulting Numbers: [4, 51, 139]
Generated Node #2: [4, 51, 139] from Operation: 54+85=139
Current State: 84:[4, 51, 139], Operations: ['54+85=139']
Exploring Operation: 4+51=55, Resulting Numbers: [139, 55]
Generated Node #3: [139, 55] from Operation: 4+51=55
Current State: 84:[139, 55], Operations: ['54+85=139', '4+51=55']
Exploring Operation: 139-55=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
[
97,
19,
80,
80
] | 44
|
[
"97+19=116",
"80+80=160",
"160-116=44"
] |
Current State: 44:[97, 19, 80, 80], Operations: []
Exploring Operation: 97+19=116, Resulting Numbers: [80, 80, 116]
Generated Node #2: [80, 80, 116] from Operation: 97+19=116
Current State: 44:[80, 80, 116], Operations: ['97+19=116']
Exploring Operation: 80+80=160, Resulting Numbers: [116, 160]
Generated Node #3: [116, 160] from Operation: 80+80=160
Current State: 44:[116, 160], Operations: ['97+19=116', '80+80=160']
Exploring Operation: 160-116=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4
|
[
17,
73,
25,
68
] | 52
|
[
"68/17=4",
"73-25=48",
"4+48=52"
] |
Current State: 52:[17, 73, 25, 68], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [73, 25, 4]
Generated Node #2: [73, 25, 4] from Operation: 68/17=4
Current State: 52:[73, 25, 4], Operations: ['68/17=4']
Exploring Operation: 73-25=48, Resulting Numbers: [4, 48]
Generated Node #3: [4, 48] from Operation: 73-25=48
Current State: 52:[4, 48], Operations: ['68/17=4', '73-25=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
[
59,
33,
84,
20
] | 38
|
[
"59-33=26",
"84-20=64",
"64-26=38"
] |
Current State: 38:[59, 33, 84, 20], Operations: []
Exploring Operation: 59-33=26, Resulting Numbers: [84, 20, 26]
Generated Node #2: [84, 20, 26] from Operation: 59-33=26
Current State: 38:[84, 20, 26], Operations: ['59-33=26']
Exploring Operation: 84-20=64, Resulting Numbers: [26, 64]
Generated Node #3: [26, 64] from Operation: 84-20=64
Current State: 38:[26, 64], Operations: ['59-33=26', '84-20=64']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
[
18,
39,
26,
16
] | 15
|
[
"18+39=57",
"26+16=42",
"57-42=15"
] |
Current State: 15:[18, 39, 26, 16], Operations: []
Exploring Operation: 18+39=57, Resulting Numbers: [26, 16, 57]
Generated Node #2: [26, 16, 57] from Operation: 18+39=57
Current State: 15:[26, 16, 57], Operations: ['18+39=57']
Exploring Operation: 26+16=42, Resulting Numbers: [57, 42]
Generated Node #3: [57, 42] from Operation: 26+16=42
Current State: 15:[57, 42], Operations: ['18+39=57', '26+16=42']
Exploring Operation: 57-42=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
[
24,
13,
64,
67
] | 59
|
[
"67-64=3",
"24*3=72",
"72-13=59"
] |
Current State: 59:[24, 13, 64, 67], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [24, 13, 3]
Generated Node #2: [24, 13, 3] from Operation: 67-64=3
Current State: 59:[24, 13, 3], Operations: ['67-64=3']
Exploring Operation: 24*3=72, Resulting Numbers: [13, 72]
Generated Node #3: [13, 72] from Operation: 24*3=72
Current State: 59:[13, 72], Operations: ['67-64=3', '24*3=72']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
36,
98,
24,
82
] | 54
|
[
"36*24=864",
"98-82=16",
"864/16=54"
] |
Current State: 54:[36, 98, 24, 82], Operations: []
Exploring Operation: 36*24=864, Resulting Numbers: [98, 82, 864]
Generated Node #2: [98, 82, 864] from Operation: 36*24=864
Current State: 54:[98, 82, 864], Operations: ['36*24=864']
Exploring Operation: 98-82=16, Resulting Numbers: [864, 16]
Generated Node #3: [864, 16] from Operation: 98-82=16
Current State: 54:[864, 16], Operations: ['36*24=864', '98-82=16']
Exploring Operation: 864/16=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
59,
26,
15,
69
] | 39
|
[
"69-59=10",
"26*15=390",
"390/10=39"
] |
Current State: 39:[59, 26, 15, 69], Operations: []
Exploring Operation: 69-59=10, Resulting Numbers: [26, 15, 10]
Generated Node #2: [26, 15, 10] from Operation: 69-59=10
Current State: 39:[26, 15, 10], Operations: ['69-59=10']
Exploring Operation: 26*15=390, Resulting Numbers: [10, 390]
Generated Node #3: [10, 390] from Operation: 26*15=390
Current State: 39:[10, 390], Operations: ['69-59=10', '26*15=390']
Exploring Operation: 390/10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
[
65,
82,
72,
66
] | 23
|
[
"82-65=17",
"72-66=6",
"17+6=23"
] |
Current State: 23:[65, 82, 72, 66], Operations: []
Exploring Operation: 82-65=17, Resulting Numbers: [72, 66, 17]
Generated Node #2: [72, 66, 17] from Operation: 82-65=17
Current State: 23:[72, 66, 17], Operations: ['82-65=17']
Exploring Operation: 72-66=6, Resulting Numbers: [17, 6]
Generated Node #3: [17, 6] from Operation: 72-66=6
Current State: 23:[17, 6], Operations: ['82-65=17', '72-66=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
[
83,
58,
62,
43
] | 44
|
[
"83-58=25",
"62-43=19",
"25+19=44"
] |
Current State: 44:[83, 58, 62, 43], Operations: []
Exploring Operation: 83-58=25, Resulting Numbers: [62, 43, 25]
Generated Node #2: [62, 43, 25] from Operation: 83-58=25
Current State: 44:[62, 43, 25], Operations: ['83-58=25']
Exploring Operation: 62-43=19, Resulting Numbers: [25, 19]
Generated Node #3: [25, 19] from Operation: 62-43=19
Current State: 44:[25, 19], Operations: ['83-58=25', '62-43=19']
Exploring Operation: 25+19=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4
|
[
71,
99,
7,
5
] | 20
|
[
"99-71=28",
"28/7=4",
"5*4=20"
] |
Current State: 20:[71, 99, 7, 5], Operations: []
Exploring Operation: 99-71=28, Resulting Numbers: [7, 5, 28]
Generated Node #2: [7, 5, 28] from Operation: 99-71=28
Current State: 20:[7, 5, 28], Operations: ['99-71=28']
Exploring Operation: 28/7=4, Resulting Numbers: [5, 4]
Generated Node #3: [5, 4] from Operation: 28/7=4
Current State: 20:[5, 4], Operations: ['99-71=28', '28/7=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
[
43,
74,
1,
53
] | 85
|
[
"74-43=31",
"1+53=54",
"31+54=85"
] |
Current State: 85:[43, 74, 1, 53], Operations: []
Exploring Operation: 74-43=31, Resulting Numbers: [1, 53, 31]
Generated Node #2: [1, 53, 31] from Operation: 74-43=31
Current State: 85:[1, 53, 31], Operations: ['74-43=31']
Exploring Operation: 1+53=54, Resulting Numbers: [31, 54]
Generated Node #3: [31, 54] from Operation: 1+53=54
Current State: 85:[31, 54], Operations: ['74-43=31', '1+53=54']
Exploring Operation: 31+54=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
4,
8,
7,
86
] | 26
|
[
"7-4=3",
"86-8=78",
"78/3=26"
] |
Current State: 26:[4, 8, 7, 86], Operations: []
Exploring Operation: 7-4=3, Resulting Numbers: [8, 86, 3]
Generated Node #2: [8, 86, 3] from Operation: 7-4=3
Current State: 26:[8, 86, 3], Operations: ['7-4=3']
Exploring Operation: 86-8=78, Resulting Numbers: [3, 78]
Generated Node #3: [3, 78] from Operation: 86-8=78
Current State: 26:[3, 78], Operations: ['7-4=3', '86-8=78']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4
|
[
17,
30,
36,
48
] | 71
|
[
"30-17=13",
"36+48=84",
"84-13=71"
] |
Current State: 71:[17, 30, 36, 48], Operations: []
Exploring Operation: 30-17=13, Resulting Numbers: [36, 48, 13]
Generated Node #2: [36, 48, 13] from Operation: 30-17=13
Current State: 71:[36, 48, 13], Operations: ['30-17=13']
Exploring Operation: 36+48=84, Resulting Numbers: [13, 84]
Generated Node #3: [13, 84] from Operation: 36+48=84
Current State: 71:[13, 84], Operations: ['30-17=13', '36+48=84']
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
53,
74,
20,
78
] | 79
|
[
"74-53=21",
"78-20=58",
"21+58=79"
] |
Current State: 79:[53, 74, 20, 78], Operations: []
Exploring Operation: 74-53=21, Resulting Numbers: [20, 78, 21]
Generated Node #2: [20, 78, 21] from Operation: 74-53=21
Current State: 79:[20, 78, 21], Operations: ['74-53=21']
Exploring Operation: 78-20=58, Resulting Numbers: [21, 58]
Generated Node #3: [21, 58] from Operation: 78-20=58
Current State: 79:[21, 58], Operations: ['74-53=21', '78-20=58']
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
52,
17,
61,
48
] | 72
|
[
"17+61=78",
"48*78=3744",
"3744/52=72"
] |
Current State: 72:[52, 17, 61, 48], Operations: []
Exploring Operation: 17+61=78, Resulting Numbers: [52, 48, 78]
Generated Node #2: [52, 48, 78] from Operation: 17+61=78
Current State: 72:[52, 48, 78], Operations: ['17+61=78']
Exploring Operation: 48*78=3744, Resulting Numbers: [52, 3744]
Generated Node #3: [52, 3744] from Operation: 48*78=3744
Current State: 72:[52, 3744], Operations: ['17+61=78', '48*78=3744']
Exploring Operation: 3744/52=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
[
95,
76,
81,
45
] | 10
|
[
"95-45=50",
"81-76=5",
"50/5=10"
] |
Current State: 10:[95, 76, 81, 45], Operations: []
Exploring Operation: 95-45=50, Resulting Numbers: [76, 81, 50]
Generated Node #2: [76, 81, 50] from Operation: 95-45=50
Current State: 10:[76, 81, 50], Operations: ['95-45=50']
Exploring Operation: 81-76=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 81-76=5
Current State: 10:[50, 5], Operations: ['95-45=50', '81-76=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
[
20,
12,
69,
16
] | 61
|
[
"20-12=8",
"69-16=53",
"8+53=61"
] |
Current State: 61:[20, 12, 69, 16], Operations: []
Exploring Operation: 20-12=8, Resulting Numbers: [69, 16, 8]
Generated Node #2: [69, 16, 8] from Operation: 20-12=8
Current State: 61:[69, 16, 8], Operations: ['20-12=8']
Exploring Operation: 69-16=53, Resulting Numbers: [8, 53]
Generated Node #3: [8, 53] from Operation: 69-16=53
Current State: 61:[8, 53], Operations: ['20-12=8', '69-16=53']
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
[
19,
47,
36,
77
] | 42
|
[
"19+47=66",
"36*77=2772",
"2772/66=42"
] |
Current State: 42:[19, 47, 36, 77], Operations: []
Exploring Operation: 19+47=66, Resulting Numbers: [36, 77, 66]
Generated Node #2: [36, 77, 66] from Operation: 19+47=66
Current State: 42:[36, 77, 66], Operations: ['19+47=66']
Exploring Operation: 36*77=2772, Resulting Numbers: [66, 2772]
Generated Node #3: [66, 2772] from Operation: 36*77=2772
Current State: 42:[66, 2772], Operations: ['19+47=66', '36*77=2772']
Exploring Operation: 2772/66=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
[
10,
98,
2,
73
] | 45
|
[
"10*2=20",
"98-73=25",
"20+25=45"
] |
Current State: 45:[10, 98, 2, 73], Operations: []
Exploring Operation: 10*2=20, Resulting Numbers: [98, 73, 20]
Generated Node #2: [98, 73, 20] from Operation: 10*2=20
Current State: 45:[98, 73, 20], Operations: ['10*2=20']
Exploring Operation: 98-73=25, Resulting Numbers: [20, 25]
Generated Node #3: [20, 25] from Operation: 98-73=25
Current State: 45:[20, 25], Operations: ['10*2=20', '98-73=25']
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
25,
45,
40,
52
] | 54
|
[
"45-25=20",
"40/20=2",
"52+2=54"
] |
Current State: 54:[25, 45, 40, 52], Operations: []
Exploring Operation: 45-25=20, Resulting Numbers: [40, 52, 20]
Generated Node #2: [40, 52, 20] from Operation: 45-25=20
Current State: 54:[40, 52, 20], Operations: ['45-25=20']
Exploring Operation: 40/20=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 40/20=2
Current State: 54:[52, 2], Operations: ['45-25=20', '40/20=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
25,
21,
4,
20
] | 12
|
[
"25-21=4",
"20-4=16",
"16-4=12"
] |
Current State: 12:[25, 21, 4, 20], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [4, 20, 4]
Generated Node #2: [4, 20, 4] from Operation: 25-21=4
Current State: 12:[4, 20, 4], Operations: ['25-21=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,12 equal: Goal Reached
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
[
44,
9,
27,
50
] | 82
|
[
"44*27=1188",
"1188/9=132",
"132-50=82"
] |
Current State: 82:[44, 9, 27, 50], Operations: []
Exploring Operation: 44*27=1188, Resulting Numbers: [9, 50, 1188]
Generated Node #2: [9, 50, 1188] from Operation: 44*27=1188
Current State: 82:[9, 50, 1188], Operations: ['44*27=1188']
Exploring Operation: 1188/9=132, Resulting Numbers: [50, 132]
Generated Node #3: [50, 132] from Operation: 1188/9=132
Current State: 82:[50, 132], Operations: ['44*27=1188', '1188/9=132']
Exploring Operation: 132-50=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
[
99,
9,
14,
42
] | 39
|
[
"99/9=11",
"42-14=28",
"11+28=39"
] |
Current State: 39:[99, 9, 14, 42], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [14, 42, 11]
Generated Node #2: [14, 42, 11] from Operation: 99/9=11
Current State: 39:[14, 42, 11], Operations: ['99/9=11']
Exploring Operation: 42-14=28, Resulting Numbers: [11, 28]
Generated Node #3: [11, 28] from Operation: 42-14=28
Current State: 39:[11, 28], Operations: ['99/9=11', '42-14=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
[
14,
52,
45,
38
] | 59
|
[
"14+52=66",
"45-38=7",
"66-7=59"
] |
Current State: 59:[14, 52, 45, 38], Operations: []
Exploring Operation: 14+52=66, Resulting Numbers: [45, 38, 66]
Generated Node #2: [45, 38, 66] from Operation: 14+52=66
Current State: 59:[45, 38, 66], Operations: ['14+52=66']
Exploring Operation: 45-38=7, Resulting Numbers: [66, 7]
Generated Node #3: [66, 7] from Operation: 45-38=7
Current State: 59:[66, 7], Operations: ['14+52=66', '45-38=7']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
16,
71,
45,
64
] | 19
|
[
"71+64=135",
"135/45=3",
"16+3=19"
] |
Current State: 19:[16, 71, 45, 64], Operations: []
Exploring Operation: 71+64=135, Resulting Numbers: [16, 45, 135]
Generated Node #2: [16, 45, 135] from Operation: 71+64=135
Current State: 19:[16, 45, 135], Operations: ['71+64=135']
Exploring Operation: 135/45=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 135/45=3
Current State: 19:[16, 3], Operations: ['71+64=135', '135/45=3']
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
22,
7,
40,
12
] | 13
|
[
"22-7=15",
"40-12=28",
"28-15=13"
] |
Current State: 13:[22, 7, 40, 12], Operations: []
Exploring Operation: 22-7=15, Resulting Numbers: [40, 12, 15]
Generated Node #2: [40, 12, 15] from Operation: 22-7=15
Current State: 13:[40, 12, 15], Operations: ['22-7=15']
Exploring Operation: 40-12=28, Resulting Numbers: [15, 28]
Generated Node #3: [15, 28] from Operation: 40-12=28
Current State: 13:[15, 28], Operations: ['22-7=15', '40-12=28']
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
37,
55,
84,
28
] | 20
|
[
"37+55=92",
"84+28=112",
"112-92=20"
] |
Current State: 20:[37, 55, 84, 28], Operations: []
Exploring Operation: 37+55=92, Resulting Numbers: [84, 28, 92]
Generated Node #2: [84, 28, 92] from Operation: 37+55=92
Current State: 20:[84, 28, 92], Operations: ['37+55=92']
Exploring Operation: 84+28=112, Resulting Numbers: [92, 112]
Generated Node #3: [92, 112] from Operation: 84+28=112
Current State: 20:[92, 112], Operations: ['37+55=92', '84+28=112']
Exploring Operation: 112-92=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
[
4,
82,
54,
49
] | 73
|
[
"82-4=78",
"54-49=5",
"78-5=73"
] |
Current State: 73:[4, 82, 54, 49], Operations: []
Exploring Operation: 82-4=78, Resulting Numbers: [54, 49, 78]
Generated Node #2: [54, 49, 78] from Operation: 82-4=78
Current State: 73:[54, 49, 78], Operations: ['82-4=78']
Exploring Operation: 54-49=5, Resulting Numbers: [78, 5]
Generated Node #3: [78, 5] from Operation: 54-49=5
Current State: 73:[78, 5], Operations: ['82-4=78', '54-49=5']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
[
31,
54,
42,
34
] | 93
|
[
"31+54=85",
"42-34=8",
"85+8=93"
] |
Current State: 93:[31, 54, 42, 34], Operations: []
Exploring Operation: 31+54=85, Resulting Numbers: [42, 34, 85]
Generated Node #2: [42, 34, 85] from Operation: 31+54=85
Current State: 93:[42, 34, 85], Operations: ['31+54=85']
Exploring Operation: 42-34=8, Resulting Numbers: [85, 8]
Generated Node #3: [85, 8] from Operation: 42-34=8
Current State: 93:[85, 8], Operations: ['31+54=85', '42-34=8']
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
[
65,
68,
43,
2
] | 47
|
[
"65+68=133",
"43*2=86",
"133-86=47"
] |
Current State: 47:[65, 68, 43, 2], Operations: []
Exploring Operation: 65+68=133, Resulting Numbers: [43, 2, 133]
Generated Node #2: [43, 2, 133] from Operation: 65+68=133
Current State: 47:[43, 2, 133], Operations: ['65+68=133']
Exploring Operation: 43*2=86, Resulting Numbers: [133, 86]
Generated Node #3: [133, 86] from Operation: 43*2=86
Current State: 47:[133, 86], Operations: ['65+68=133', '43*2=86']
Exploring Operation: 133-86=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
[
24,
49,
37,
35
] | 71
|
[
"24+49=73",
"37-35=2",
"73-2=71"
] |
Current State: 71:[24, 49, 37, 35], Operations: []
Exploring Operation: 24+49=73, Resulting Numbers: [37, 35, 73]
Generated Node #2: [37, 35, 73] from Operation: 24+49=73
Current State: 71:[37, 35, 73], Operations: ['24+49=73']
Exploring Operation: 37-35=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 37-35=2
Current State: 71:[73, 2], Operations: ['24+49=73', '37-35=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
[
6,
71,
54,
4
] | 40
|
[
"6*54=324",
"71*4=284",
"324-284=40"
] |
Current State: 40:[6, 71, 54, 4], Operations: []
Exploring Operation: 6*54=324, Resulting Numbers: [71, 4, 324]
Generated Node #2: [71, 4, 324] from Operation: 6*54=324
Current State: 40:[71, 4, 324], Operations: ['6*54=324']
Exploring Operation: 71*4=284, Resulting Numbers: [324, 284]
Generated Node #3: [324, 284] from Operation: 71*4=284
Current State: 40:[324, 284], Operations: ['6*54=324', '71*4=284']
Exploring Operation: 324-284=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
[
89,
37,
98,
40
] | 12
|
[
"89+37=126",
"98+40=138",
"138-126=12"
] |
Current State: 12:[89, 37, 98, 40], Operations: []
Exploring Operation: 89+37=126, Resulting Numbers: [98, 40, 126]
Generated Node #2: [98, 40, 126] from Operation: 89+37=126
Current State: 12:[98, 40, 126], Operations: ['89+37=126']
Exploring Operation: 98+40=138, Resulting Numbers: [126, 138]
Generated Node #3: [126, 138] from Operation: 98+40=138
Current State: 12:[126, 138], Operations: ['89+37=126', '98+40=138']
Exploring Operation: 138-126=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
[
97,
81,
9,
83
] | 86
|
[
"97+81=178",
"9+83=92",
"178-92=86"
] |
Current State: 86:[97, 81, 9, 83], Operations: []
Exploring Operation: 97+81=178, Resulting Numbers: [9, 83, 178]
Generated Node #2: [9, 83, 178] from Operation: 97+81=178
Current State: 86:[9, 83, 178], Operations: ['97+81=178']
Exploring Operation: 9+83=92, Resulting Numbers: [178, 92]
Generated Node #3: [178, 92] from Operation: 9+83=92
Current State: 86:[178, 92], Operations: ['97+81=178', '9+83=92']
Exploring Operation: 178-92=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
1,
24,
4,
9
] | 63
|
[
"4-1=3",
"24*3=72",
"72-9=63"
] |
Current State: 63:[1, 24, 4, 9], Operations: []
Exploring Operation: 4-1=3, Resulting Numbers: [24, 9, 3]
Generated Node #2: [24, 9, 3] from Operation: 4-1=3
Current State: 63:[24, 9, 3], Operations: ['4-1=3']
Exploring Operation: 24*3=72, Resulting Numbers: [9, 72]
Generated Node #3: [9, 72] from Operation: 24*3=72
Current State: 63:[9, 72], Operations: ['4-1=3', '24*3=72']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
[
27,
99,
80,
61
] | 91
|
[
"99-27=72",
"80-61=19",
"72+19=91"
] |
Current State: 91:[27, 99, 80, 61], Operations: []
Exploring Operation: 99-27=72, Resulting Numbers: [80, 61, 72]
Generated Node #2: [80, 61, 72] from Operation: 99-27=72
Current State: 91:[80, 61, 72], Operations: ['99-27=72']
Exploring Operation: 80-61=19, Resulting Numbers: [72, 19]
Generated Node #3: [72, 19] from Operation: 80-61=19
Current State: 91:[72, 19], Operations: ['99-27=72', '80-61=19']
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
[
16,
14,
13,
36
] | 21
|
[
"16-14=2",
"36-13=23",
"23-2=21"
] |
Current State: 21:[16, 14, 13, 36], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [13, 36, 2]
Generated Node #2: [13, 36, 2] from Operation: 16-14=2
Current State: 21:[13, 36, 2], Operations: ['16-14=2']
Exploring Operation: 36-13=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 36-13=23
Current State: 21:[2, 23], Operations: ['16-14=2', '36-13=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4
|
[
24,
36,
60,
30
] | 12
|
[
"24*60=1440",
"1440/30=48",
"48-36=12"
] |
Current State: 12:[24, 36, 60, 30], Operations: []
Exploring Operation: 24*60=1440, Resulting Numbers: [36, 30, 1440]
Generated Node #2: [36, 30, 1440] from Operation: 24*60=1440
Current State: 12:[36, 30, 1440], Operations: ['24*60=1440']
Exploring Operation: 1440/30=48, Resulting Numbers: [36, 48]
Generated Node #3: [36, 48] from Operation: 1440/30=48
Current State: 12:[36, 48], Operations: ['24*60=1440', '1440/30=48']
Exploring Operation: 48-36=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
[
37,
45,
87,
3
] | 35
|
[
"87-37=50",
"45/3=15",
"50-15=35"
] |
Current State: 35:[37, 45, 87, 3], Operations: []
Exploring Operation: 87-37=50, Resulting Numbers: [45, 3, 50]
Generated Node #2: [45, 3, 50] from Operation: 87-37=50
Current State: 35:[45, 3, 50], Operations: ['87-37=50']
Exploring Operation: 45/3=15, Resulting Numbers: [50, 15]
Generated Node #3: [50, 15] from Operation: 45/3=15
Current State: 35:[50, 15], Operations: ['87-37=50', '45/3=15']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
[
53,
44,
78,
7
] | 76
|
[
"53-44=9",
"78+7=85",
"85-9=76"
] |
Current State: 76:[53, 44, 78, 7], Operations: []
Exploring Operation: 53-44=9, Resulting Numbers: [78, 7, 9]
Generated Node #2: [78, 7, 9] from Operation: 53-44=9
Current State: 76:[78, 7, 9], Operations: ['53-44=9']
Exploring Operation: 78+7=85, Resulting Numbers: [9, 85]
Generated Node #3: [9, 85] from Operation: 78+7=85
Current State: 76:[9, 85], Operations: ['53-44=9', '78+7=85']
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
[
84,
28,
26,
14
] | 36
|
[
"84/28=3",
"26-14=12",
"3*12=36"
] |
Current State: 36:[84, 28, 26, 14], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [26, 14, 3]
Generated Node #2: [26, 14, 3] from Operation: 84/28=3
Current State: 36:[26, 14, 3], Operations: ['84/28=3']
Exploring Operation: 26-14=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 26-14=12
Current State: 36:[3, 12], Operations: ['84/28=3', '26-14=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
[
59,
77,
93,
45
] | 66
|
[
"77-59=18",
"93-45=48",
"18+48=66"
] |
Current State: 66:[59, 77, 93, 45], Operations: []
Exploring Operation: 77-59=18, Resulting Numbers: [93, 45, 18]
Generated Node #2: [93, 45, 18] from Operation: 77-59=18
Current State: 66:[93, 45, 18], Operations: ['77-59=18']
Exploring Operation: 93-45=48, Resulting Numbers: [18, 48]
Generated Node #3: [18, 48] from Operation: 93-45=48
Current State: 66:[18, 48], Operations: ['77-59=18', '93-45=48']
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
[
47,
15,
27,
75
] | 100
|
[
"47-27=20",
"75/15=5",
"20*5=100"
] |
Current State: 100:[47, 15, 27, 75], Operations: []
Exploring Operation: 47-27=20, Resulting Numbers: [15, 75, 20]
Generated Node #2: [15, 75, 20] from Operation: 47-27=20
Current State: 100:[15, 75, 20], Operations: ['47-27=20']
Exploring Operation: 75/15=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 75/15=5
Current State: 100:[20, 5], Operations: ['47-27=20', '75/15=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
[
11,
5,
90,
55
] | 13
|
[
"11*90=990",
"990/55=18",
"18-5=13"
] |
Current State: 13:[11, 5, 90, 55], Operations: []
Exploring Operation: 11*90=990, Resulting Numbers: [5, 55, 990]
Generated Node #2: [5, 55, 990] from Operation: 11*90=990
Current State: 13:[5, 55, 990], Operations: ['11*90=990']
Exploring Operation: 990/55=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 990/55=18
Current State: 13:[5, 18], Operations: ['11*90=990', '990/55=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
[
50,
16,
52,
11
] | 42
|
[
"16-11=5",
"50/5=10",
"52-10=42"
] |
Current State: 42:[50, 16, 52, 11], Operations: []
Exploring Operation: 16-11=5, Resulting Numbers: [50, 52, 5]
Generated Node #2: [50, 52, 5] from Operation: 16-11=5
Current State: 42:[50, 52, 5], Operations: ['16-11=5']
Exploring Operation: 50/5=10, Resulting Numbers: [52, 10]
Generated Node #3: [52, 10] from Operation: 50/5=10
Current State: 42:[52, 10], Operations: ['16-11=5', '50/5=10']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
[
40,
9,
35,
8
] | 39
|
[
"40/8=5",
"9+35=44",
"44-5=39"
] |
Current State: 39:[40, 9, 35, 8], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [9, 35, 5]
Generated Node #2: [9, 35, 5] from Operation: 40/8=5
Current State: 39:[9, 35, 5], Operations: ['40/8=5']
Exploring Operation: 9+35=44, Resulting Numbers: [5, 44]
Generated Node #3: [5, 44] from Operation: 9+35=44
Current State: 39:[5, 44], Operations: ['40/8=5', '9+35=44']
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
[
58,
90,
2,
2
] | 76
|
[
"58+90=148",
"148/2=74",
"2+74=76"
] |
Current State: 76:[58, 90, 2, 2], Operations: []
Exploring Operation: 58+90=148, Resulting Numbers: [2, 2, 148]
Generated Node #2: [2, 2, 148] from Operation: 58+90=148
Current State: 76:[2, 2, 148], Operations: ['58+90=148']
Exploring Operation: 148/2=74, Resulting Numbers: [74]
74,76 equal: Goal Reached
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
[
13,
44,
2,
14
] | 43
|
[
"44-13=31",
"14-2=12",
"31+12=43"
] |
Current State: 43:[13, 44, 2, 14], Operations: []
Exploring Operation: 44-13=31, Resulting Numbers: [2, 14, 31]
Generated Node #2: [2, 14, 31] from Operation: 44-13=31
Current State: 43:[2, 14, 31], Operations: ['44-13=31']
Exploring Operation: 14-2=12, Resulting Numbers: [31, 12]
Generated Node #3: [31, 12] from Operation: 14-2=12
Current State: 43:[31, 12], Operations: ['44-13=31', '14-2=12']
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
[
23,
56,
65,
8
] | 22
|
[
"23+56=79",
"65-8=57",
"79-57=22"
] |
Current State: 22:[23, 56, 65, 8], Operations: []
Exploring Operation: 23+56=79, Resulting Numbers: [65, 8, 79]
Generated Node #2: [65, 8, 79] from Operation: 23+56=79
Current State: 22:[65, 8, 79], Operations: ['23+56=79']
Exploring Operation: 65-8=57, Resulting Numbers: [79, 57]
Generated Node #3: [79, 57] from Operation: 65-8=57
Current State: 22:[79, 57], Operations: ['23+56=79', '65-8=57']
Exploring Operation: 79-57=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
[
69,
63,
65,
71
] | 22
|
[
"69+63=132",
"71-65=6",
"132/6=22"
] |
Current State: 22:[69, 63, 65, 71], Operations: []
Exploring Operation: 69+63=132, Resulting Numbers: [65, 71, 132]
Generated Node #2: [65, 71, 132] from Operation: 69+63=132
Current State: 22:[65, 71, 132], Operations: ['69+63=132']
Exploring Operation: 71-65=6, Resulting Numbers: [132, 6]
Generated Node #3: [132, 6] from Operation: 71-65=6
Current State: 22:[132, 6], Operations: ['69+63=132', '71-65=6']
Exploring Operation: 132/6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
[
54,
20,
63,
86
] | 94
|
[
"63-54=9",
"20*9=180",
"180-86=94"
] |
Current State: 94:[54, 20, 63, 86], Operations: []
Exploring Operation: 63-54=9, Resulting Numbers: [20, 86, 9]
Generated Node #2: [20, 86, 9] from Operation: 63-54=9
Current State: 94:[20, 86, 9], Operations: ['63-54=9']
Exploring Operation: 20*9=180, Resulting Numbers: [86, 180]
Generated Node #3: [86, 180] from Operation: 20*9=180
Current State: 94:[86, 180], Operations: ['63-54=9', '20*9=180']
Exploring Operation: 180-86=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.