nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
|
|---|---|---|---|---|
[
49,
19,
80,
75
] | 32
|
[
"49-19=30",
"80*30=2400",
"2400/75=32"
] |
Current State: 32:[49, 19, 80, 75], Operations: []
Exploring Operation: 49-19=30, Resulting Numbers: [80, 75, 30]
Generated Node #2: [80, 75, 30] from Operation: 49-19=30
Current State: 32:[80, 75, 30], Operations: ['49-19=30']
Exploring Operation: 80*30=2400, Resulting Numbers: [75, 2400]
Generated Node #3: [75, 2400] from Operation: 80*30=2400
Current State: 32:[75, 2400], Operations: ['49-19=30', '80*30=2400']
Exploring Operation: 2400/75=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
7,
22,
45,
95
] | 65
|
[
"22-7=15",
"95-45=50",
"15+50=65"
] |
Current State: 65:[7, 22, 45, 95], Operations: []
Exploring Operation: 22-7=15, Resulting Numbers: [45, 95, 15]
Generated Node #2: [45, 95, 15] from Operation: 22-7=15
Current State: 65:[45, 95, 15], Operations: ['22-7=15']
Exploring Operation: 95-45=50, Resulting Numbers: [15, 50]
Generated Node #3: [15, 50] from Operation: 95-45=50
Current State: 65:[15, 50], Operations: ['22-7=15', '95-45=50']
Exploring Operation: 15+50=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
72,
38,
54,
80
] | 84
|
[
"72+38=110",
"80-54=26",
"110-26=84"
] |
Current State: 84:[72, 38, 54, 80], Operations: []
Exploring Operation: 72+38=110, Resulting Numbers: [54, 80, 110]
Generated Node #2: [54, 80, 110] from Operation: 72+38=110
Current State: 84:[54, 80, 110], Operations: ['72+38=110']
Exploring Operation: 80-54=26, Resulting Numbers: [110, 26]
Generated Node #3: [110, 26] from Operation: 80-54=26
Current State: 84:[110, 26], Operations: ['72+38=110', '80-54=26']
Exploring Operation: 110-26=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
[
96,
31,
48,
64
] | 47
|
[
"96-31=65",
"48+64=112",
"112-65=47"
] |
Current State: 47:[96, 31, 48, 64], Operations: []
Exploring Operation: 96-31=65, Resulting Numbers: [48, 64, 65]
Generated Node #2: [48, 64, 65] from Operation: 96-31=65
Current State: 47:[48, 64, 65], Operations: ['96-31=65']
Exploring Operation: 48+64=112, Resulting Numbers: [65, 112]
Generated Node #3: [65, 112] from Operation: 48+64=112
Current State: 47:[65, 112], Operations: ['96-31=65', '48+64=112']
Exploring Operation: 112-65=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
[
33,
45,
60,
12
] | 99
|
[
"60-45=15",
"15-12=3",
"33*3=99"
] |
Current State: 99:[33, 45, 60, 12], Operations: []
Exploring Operation: 60-45=15, Resulting Numbers: [33, 12, 15]
Generated Node #2: [33, 12, 15] from Operation: 60-45=15
Current State: 99:[33, 12, 15], Operations: ['60-45=15']
Exploring Operation: 15-12=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 15-12=3
Current State: 99:[33, 3], Operations: ['60-45=15', '15-12=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
[
84,
49,
16,
72
] | 91
|
[
"84-49=35",
"72-16=56",
"35+56=91"
] |
Current State: 91:[84, 49, 16, 72], Operations: []
Exploring Operation: 84-49=35, Resulting Numbers: [16, 72, 35]
Generated Node #2: [16, 72, 35] from Operation: 84-49=35
Current State: 91:[16, 72, 35], Operations: ['84-49=35']
Exploring Operation: 72-16=56, Resulting Numbers: [35, 56]
Generated Node #3: [35, 56] from Operation: 72-16=56
Current State: 91:[35, 56], Operations: ['84-49=35', '72-16=56']
Exploring Operation: 35+56=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
[
6,
45,
35,
33
] | 15
|
[
"35-33=2",
"6/2=3",
"45/3=15"
] |
Current State: 15:[6, 45, 35, 33], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [6, 45, 2]
Generated Node #2: [6, 45, 2] from Operation: 35-33=2
Current State: 15:[6, 45, 2], Operations: ['35-33=2']
Exploring Operation: 6/2=3, Resulting Numbers: [45, 3]
Generated Node #3: [45, 3] from Operation: 6/2=3
Current State: 15:[45, 3], Operations: ['35-33=2', '6/2=3']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
[
91,
80,
29,
8
] | 10
|
[
"91-80=11",
"29-8=21",
"21-11=10"
] |
Current State: 10:[91, 80, 29, 8], Operations: []
Exploring Operation: 91-80=11, Resulting Numbers: [29, 8, 11]
Generated Node #2: [29, 8, 11] from Operation: 91-80=11
Current State: 10:[29, 8, 11], Operations: ['91-80=11']
Exploring Operation: 29-8=21, Resulting Numbers: [11, 21]
Generated Node #3: [11, 21] from Operation: 29-8=21
Current State: 10:[11, 21], Operations: ['91-80=11', '29-8=21']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
[
45,
90,
11,
8
] | 64
|
[
"90-45=45",
"11+8=19",
"45+19=64"
] |
Current State: 64:[45, 90, 11, 8], Operations: []
Exploring Operation: 90-45=45, Resulting Numbers: [11, 8, 45]
Generated Node #2: [11, 8, 45] from Operation: 90-45=45
Current State: 64:[11, 8, 45], Operations: ['90-45=45']
Exploring Operation: 11+8=19, Resulting Numbers: [45, 19]
Generated Node #3: [45, 19] from Operation: 11+8=19
Current State: 64:[45, 19], Operations: ['90-45=45', '11+8=19']
Exploring Operation: 45+19=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
[
33,
37,
28,
33
] | 79
|
[
"37-33=4",
"28*4=112",
"112-33=79"
] |
Current State: 79:[33, 37, 28, 33], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [28, 4]
Generated Node #2: [28, 4] from Operation: 37-33=4
Current State: 79:[28, 4], Operations: ['37-33=4']
Exploring Operation: 28*4=112, Resulting Numbers: [112]
112,79 equal: Goal Reached
Exploring Operation: 112-33=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
99,
44,
66,
97
] | 20
|
[
"99+44=143",
"66+97=163",
"163-143=20"
] |
Current State: 20:[99, 44, 66, 97], Operations: []
Exploring Operation: 99+44=143, Resulting Numbers: [66, 97, 143]
Generated Node #2: [66, 97, 143] from Operation: 99+44=143
Current State: 20:[66, 97, 143], Operations: ['99+44=143']
Exploring Operation: 66+97=163, Resulting Numbers: [143, 163]
Generated Node #3: [143, 163] from Operation: 66+97=163
Current State: 20:[143, 163], Operations: ['99+44=143', '66+97=163']
Exploring Operation: 163-143=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
[
19,
22,
83,
2
] | 96
|
[
"22*83=1826",
"1826-2=1824",
"1824/19=96"
] |
Current State: 96:[19, 22, 83, 2], Operations: []
Exploring Operation: 22*83=1826, Resulting Numbers: [19, 2, 1826]
Generated Node #2: [19, 2, 1826] from Operation: 22*83=1826
Current State: 96:[19, 2, 1826], Operations: ['22*83=1826']
Exploring Operation: 1826-2=1824, Resulting Numbers: [19, 1824]
Generated Node #3: [19, 1824] from Operation: 1826-2=1824
Current State: 96:[19, 1824], Operations: ['22*83=1826', '1826-2=1824']
Exploring Operation: 1824/19=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
54,
75,
81,
71
] | 62
|
[
"81-75=6",
"54/6=9",
"71-9=62"
] |
Current State: 62:[54, 75, 81, 71], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [54, 71, 6]
Generated Node #2: [54, 71, 6] from Operation: 81-75=6
Current State: 62:[54, 71, 6], Operations: ['81-75=6']
Exploring Operation: 54/6=9, Resulting Numbers: [71, 9]
Generated Node #3: [71, 9] from Operation: 54/6=9
Current State: 62:[71, 9], Operations: ['81-75=6', '54/6=9']
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
[
33,
26,
83,
24
] | 100
|
[
"33-26=7",
"83+24=107",
"107-7=100"
] |
Current State: 100:[33, 26, 83, 24], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [83, 24, 7]
Generated Node #2: [83, 24, 7] from Operation: 33-26=7
Current State: 100:[83, 24, 7], Operations: ['33-26=7']
Exploring Operation: 83+24=107, Resulting Numbers: [7, 107]
Generated Node #3: [7, 107] from Operation: 83+24=107
Current State: 100:[7, 107], Operations: ['33-26=7', '83+24=107']
Exploring Operation: 107-7=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
[
36,
39,
77,
18
] | 58
|
[
"36/18=2",
"39+77=116",
"116/2=58"
] |
Current State: 58:[36, 39, 77, 18], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [39, 77, 2]
Generated Node #2: [39, 77, 2] from Operation: 36/18=2
Current State: 58:[39, 77, 2], Operations: ['36/18=2']
Exploring Operation: 39+77=116, Resulting Numbers: [2, 116]
Generated Node #3: [2, 116] from Operation: 39+77=116
Current State: 58:[2, 116], Operations: ['36/18=2', '39+77=116']
Exploring Operation: 116/2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
[
42,
29,
85,
78
] | 78
|
[
"42+29=71",
"85-78=7",
"71+7=78"
] |
Current State: 78:[42, 29, 85, 78], Operations: []
Exploring Operation: 42+29=71, Resulting Numbers: [85, 78, 71]
Generated Node #2: [85, 78, 71] from Operation: 42+29=71
Current State: 78:[85, 78, 71], Operations: ['42+29=71']
Exploring Operation: 85-78=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 85-78=7
Current State: 78:[71, 7], Operations: ['42+29=71', '85-78=7']
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
[
24,
63,
70,
30
] | 61
|
[
"63-24=39",
"70+30=100",
"100-39=61"
] |
Current State: 61:[24, 63, 70, 30], Operations: []
Exploring Operation: 63-24=39, Resulting Numbers: [70, 30, 39]
Generated Node #2: [70, 30, 39] from Operation: 63-24=39
Current State: 61:[70, 30, 39], Operations: ['63-24=39']
Exploring Operation: 70+30=100, Resulting Numbers: [39, 100]
Generated Node #3: [39, 100] from Operation: 70+30=100
Current State: 61:[39, 100], Operations: ['63-24=39', '70+30=100']
Exploring Operation: 100-39=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
[
68,
84,
48,
4
] | 55
|
[
"68+48=116",
"116/4=29",
"84-29=55"
] |
Current State: 55:[68, 84, 48, 4], Operations: []
Exploring Operation: 68+48=116, Resulting Numbers: [84, 4, 116]
Generated Node #2: [84, 4, 116] from Operation: 68+48=116
Current State: 55:[84, 4, 116], Operations: ['68+48=116']
Exploring Operation: 116/4=29, Resulting Numbers: [84, 29]
Generated Node #3: [84, 29] from Operation: 116/4=29
Current State: 55:[84, 29], Operations: ['68+48=116', '116/4=29']
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
[
35,
52,
18,
7
] | 75
|
[
"35/7=5",
"52+18=70",
"5+70=75"
] |
Current State: 75:[35, 52, 18, 7], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [52, 18, 5]
Generated Node #2: [52, 18, 5] from Operation: 35/7=5
Current State: 75:[52, 18, 5], Operations: ['35/7=5']
Exploring Operation: 52+18=70, Resulting Numbers: [5, 70]
Generated Node #3: [5, 70] from Operation: 52+18=70
Current State: 75:[5, 70], Operations: ['35/7=5', '52+18=70']
Exploring Operation: 5+70=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
[
49,
2,
50,
59
] | 11
|
[
"49*2=98",
"50+59=109",
"109-98=11"
] |
Current State: 11:[49, 2, 50, 59], Operations: []
Exploring Operation: 49*2=98, Resulting Numbers: [50, 59, 98]
Generated Node #2: [50, 59, 98] from Operation: 49*2=98
Current State: 11:[50, 59, 98], Operations: ['49*2=98']
Exploring Operation: 50+59=109, Resulting Numbers: [98, 109]
Generated Node #3: [98, 109] from Operation: 50+59=109
Current State: 11:[98, 109], Operations: ['49*2=98', '50+59=109']
Exploring Operation: 109-98=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
44,
61,
17,
67
] | 33
|
[
"61-44=17",
"67-17=50",
"50-17=33"
] |
Current State: 33:[44, 61, 17, 67], Operations: []
Exploring Operation: 61-44=17, Resulting Numbers: [17, 67, 17]
Generated Node #2: [17, 67, 17] from Operation: 61-44=17
Current State: 33:[17, 67, 17], Operations: ['61-44=17']
Exploring Operation: 67-17=50, Resulting Numbers: [50]
50,33 equal: Goal Reached
Exploring Operation: 50-17=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
[
25,
36,
44,
99
] | 82
|
[
"25+36=61",
"44+99=143",
"143-61=82"
] |
Current State: 82:[25, 36, 44, 99], Operations: []
Exploring Operation: 25+36=61, Resulting Numbers: [44, 99, 61]
Generated Node #2: [44, 99, 61] from Operation: 25+36=61
Current State: 82:[44, 99, 61], Operations: ['25+36=61']
Exploring Operation: 44+99=143, Resulting Numbers: [61, 143]
Generated Node #3: [61, 143] from Operation: 44+99=143
Current State: 82:[61, 143], Operations: ['25+36=61', '44+99=143']
Exploring Operation: 143-61=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
[
69,
30,
93,
46
] | 52
|
[
"69+30=99",
"93-46=47",
"99-47=52"
] |
Current State: 52:[69, 30, 93, 46], Operations: []
Exploring Operation: 69+30=99, Resulting Numbers: [93, 46, 99]
Generated Node #2: [93, 46, 99] from Operation: 69+30=99
Current State: 52:[93, 46, 99], Operations: ['69+30=99']
Exploring Operation: 93-46=47, Resulting Numbers: [99, 47]
Generated Node #3: [99, 47] from Operation: 93-46=47
Current State: 52:[99, 47], Operations: ['69+30=99', '93-46=47']
Exploring Operation: 99-47=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
[
5,
15,
23,
46
] | 69
|
[
"15/5=3",
"46-23=23",
"3*23=69"
] |
Current State: 69:[5, 15, 23, 46], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [23, 46, 3]
Generated Node #2: [23, 46, 3] from Operation: 15/5=3
Current State: 69:[23, 46, 3], Operations: ['15/5=3']
Exploring Operation: 46-23=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 46-23=23
Current State: 69:[3, 23], Operations: ['15/5=3', '46-23=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
[
4,
99,
83,
56
] | 30
|
[
"56/4=14",
"99-83=16",
"14+16=30"
] |
Current State: 30:[4, 99, 83, 56], Operations: []
Exploring Operation: 56/4=14, Resulting Numbers: [99, 83, 14]
Generated Node #2: [99, 83, 14] from Operation: 56/4=14
Current State: 30:[99, 83, 14], Operations: ['56/4=14']
Exploring Operation: 99-83=16, Resulting Numbers: [14, 16]
Generated Node #3: [14, 16] from Operation: 99-83=16
Current State: 30:[14, 16], Operations: ['56/4=14', '99-83=16']
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
[
4,
38,
62,
50
] | 54
|
[
"4+38=42",
"62-50=12",
"42+12=54"
] |
Current State: 54:[4, 38, 62, 50], Operations: []
Exploring Operation: 4+38=42, Resulting Numbers: [62, 50, 42]
Generated Node #2: [62, 50, 42] from Operation: 4+38=42
Current State: 54:[62, 50, 42], Operations: ['4+38=42']
Exploring Operation: 62-50=12, Resulting Numbers: [42, 12]
Generated Node #3: [42, 12] from Operation: 62-50=12
Current State: 54:[42, 12], Operations: ['4+38=42', '62-50=12']
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
[
80,
78,
84,
22
] | 95
|
[
"80-78=2",
"22/2=11",
"84+11=95"
] |
Current State: 95:[80, 78, 84, 22], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [84, 22, 2]
Generated Node #2: [84, 22, 2] from Operation: 80-78=2
Current State: 95:[84, 22, 2], Operations: ['80-78=2']
Exploring Operation: 22/2=11, Resulting Numbers: [84, 11]
Generated Node #3: [84, 11] from Operation: 22/2=11
Current State: 95:[84, 11], Operations: ['80-78=2', '22/2=11']
Exploring Operation: 84+11=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
[
13,
28,
25,
2
] | 38
|
[
"28-13=15",
"25-2=23",
"15+23=38"
] |
Current State: 38:[13, 28, 25, 2], Operations: []
Exploring Operation: 28-13=15, Resulting Numbers: [25, 2, 15]
Generated Node #2: [25, 2, 15] from Operation: 28-13=15
Current State: 38:[25, 2, 15], Operations: ['28-13=15']
Exploring Operation: 25-2=23, Resulting Numbers: [15, 23]
Generated Node #3: [15, 23] from Operation: 25-2=23
Current State: 38:[15, 23], Operations: ['28-13=15', '25-2=23']
Exploring Operation: 15+23=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
[
48,
82,
4,
79
] | 60
|
[
"82-79=3",
"4*3=12",
"48+12=60"
] |
Current State: 60:[48, 82, 4, 79], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [48, 4, 3]
Generated Node #2: [48, 4, 3] from Operation: 82-79=3
Current State: 60:[48, 4, 3], Operations: ['82-79=3']
Exploring Operation: 4*3=12, Resulting Numbers: [48, 12]
Generated Node #3: [48, 12] from Operation: 4*3=12
Current State: 60:[48, 12], Operations: ['82-79=3', '4*3=12']
Exploring Operation: 48+12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
81,
98,
93,
19
] | 91
|
[
"98-81=17",
"93-19=74",
"17+74=91"
] |
Current State: 91:[81, 98, 93, 19], Operations: []
Exploring Operation: 98-81=17, Resulting Numbers: [93, 19, 17]
Generated Node #2: [93, 19, 17] from Operation: 98-81=17
Current State: 91:[93, 19, 17], Operations: ['98-81=17']
Exploring Operation: 93-19=74, Resulting Numbers: [17, 74]
Generated Node #3: [17, 74] from Operation: 93-19=74
Current State: 91:[17, 74], Operations: ['98-81=17', '93-19=74']
Exploring Operation: 17+74=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
[
72,
3,
44,
62
] | 14
|
[
"72-62=10",
"3*10=30",
"44-30=14"
] |
Current State: 14:[72, 3, 44, 62], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [3, 44, 10]
Generated Node #2: [3, 44, 10] from Operation: 72-62=10
Current State: 14:[3, 44, 10], Operations: ['72-62=10']
Exploring Operation: 3*10=30, Resulting Numbers: [44, 30]
Generated Node #3: [44, 30] from Operation: 3*10=30
Current State: 14:[44, 30], Operations: ['72-62=10', '3*10=30']
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
37,
59,
85,
23
] | 84
|
[
"59-37=22",
"85-23=62",
"22+62=84"
] |
Current State: 84:[37, 59, 85, 23], Operations: []
Exploring Operation: 59-37=22, Resulting Numbers: [85, 23, 22]
Generated Node #2: [85, 23, 22] from Operation: 59-37=22
Current State: 84:[85, 23, 22], Operations: ['59-37=22']
Exploring Operation: 85-23=62, Resulting Numbers: [22, 62]
Generated Node #3: [22, 62] from Operation: 85-23=62
Current State: 84:[22, 62], Operations: ['59-37=22', '85-23=62']
Exploring Operation: 22+62=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
[
99,
37,
96,
41
] | 87
|
[
"99*37=3663",
"3663-96=3567",
"3567/41=87"
] |
Current State: 87:[99, 37, 96, 41], Operations: []
Exploring Operation: 99*37=3663, Resulting Numbers: [96, 41, 3663]
Generated Node #2: [96, 41, 3663] from Operation: 99*37=3663
Current State: 87:[96, 41, 3663], Operations: ['99*37=3663']
Exploring Operation: 3663-96=3567, Resulting Numbers: [41, 3567]
Generated Node #3: [41, 3567] from Operation: 3663-96=3567
Current State: 87:[41, 3567], Operations: ['99*37=3663', '3663-96=3567']
Exploring Operation: 3567/41=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
[
26,
21,
12,
12
] | 60
|
[
"26*12=312",
"21*12=252",
"312-252=60"
] |
Current State: 60:[26, 21, 12, 12], Operations: []
Exploring Operation: 26*12=312, Resulting Numbers: [21, 312]
Generated Node #2: [21, 312] from Operation: 26*12=312
Current State: 60:[21, 312], Operations: ['26*12=312']
Exploring Operation: 21*12=252, Resulting Numbers: [312, 252]
Generated Node #3: [312, 252] from Operation: 21*12=252
Current State: 60:[312, 252], Operations: ['26*12=312', '21*12=252']
Exploring Operation: 312-252=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
84,
68,
44,
14
] | 76
|
[
"68+44=112",
"112/14=8",
"84-8=76"
] |
Current State: 76:[84, 68, 44, 14], Operations: []
Exploring Operation: 68+44=112, Resulting Numbers: [84, 14, 112]
Generated Node #2: [84, 14, 112] from Operation: 68+44=112
Current State: 76:[84, 14, 112], Operations: ['68+44=112']
Exploring Operation: 112/14=8, Resulting Numbers: [84, 8]
Generated Node #3: [84, 8] from Operation: 112/14=8
Current State: 76:[84, 8], Operations: ['68+44=112', '112/14=8']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
[
69,
72,
10,
84
] | 97
|
[
"72-69=3",
"10+84=94",
"3+94=97"
] |
Current State: 97:[69, 72, 10, 84], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [10, 84, 3]
Generated Node #2: [10, 84, 3] from Operation: 72-69=3
Current State: 97:[10, 84, 3], Operations: ['72-69=3']
Exploring Operation: 10+84=94, Resulting Numbers: [3, 94]
Generated Node #3: [3, 94] from Operation: 10+84=94
Current State: 97:[3, 94], Operations: ['72-69=3', '10+84=94']
Exploring Operation: 3+94=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
[
38,
17,
11,
39
] | 27
|
[
"38+17=55",
"39-11=28",
"55-28=27"
] |
Current State: 27:[38, 17, 11, 39], Operations: []
Exploring Operation: 38+17=55, Resulting Numbers: [11, 39, 55]
Generated Node #2: [11, 39, 55] from Operation: 38+17=55
Current State: 27:[11, 39, 55], Operations: ['38+17=55']
Exploring Operation: 39-11=28, Resulting Numbers: [55, 28]
Generated Node #3: [55, 28] from Operation: 39-11=28
Current State: 27:[55, 28], Operations: ['38+17=55', '39-11=28']
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
[
5,
23,
53,
62
] | 92
|
[
"5+53=58",
"62-58=4",
"23*4=92"
] |
Current State: 92:[5, 23, 53, 62], Operations: []
Exploring Operation: 5+53=58, Resulting Numbers: [23, 62, 58]
Generated Node #2: [23, 62, 58] from Operation: 5+53=58
Current State: 92:[23, 62, 58], Operations: ['5+53=58']
Exploring Operation: 62-58=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 62-58=4
Current State: 92:[23, 4], Operations: ['5+53=58', '62-58=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
[
75,
23,
41,
5
] | 81
|
[
"75-41=34",
"23*5=115",
"115-34=81"
] |
Current State: 81:[75, 23, 41, 5], Operations: []
Exploring Operation: 75-41=34, Resulting Numbers: [23, 5, 34]
Generated Node #2: [23, 5, 34] from Operation: 75-41=34
Current State: 81:[23, 5, 34], Operations: ['75-41=34']
Exploring Operation: 23*5=115, Resulting Numbers: [34, 115]
Generated Node #3: [34, 115] from Operation: 23*5=115
Current State: 81:[34, 115], Operations: ['75-41=34', '23*5=115']
Exploring Operation: 115-34=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
[
45,
81,
60,
7
] | 15
|
[
"45*7=315",
"81-60=21",
"315/21=15"
] |
Current State: 15:[45, 81, 60, 7], Operations: []
Exploring Operation: 45*7=315, Resulting Numbers: [81, 60, 315]
Generated Node #2: [81, 60, 315] from Operation: 45*7=315
Current State: 15:[81, 60, 315], Operations: ['45*7=315']
Exploring Operation: 81-60=21, Resulting Numbers: [315, 21]
Generated Node #3: [315, 21] from Operation: 81-60=21
Current State: 15:[315, 21], Operations: ['45*7=315', '81-60=21']
Exploring Operation: 315/21=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
[
33,
43,
45,
85
] | 59
|
[
"33+85=118",
"45-43=2",
"118/2=59"
] |
Current State: 59:[33, 43, 45, 85], Operations: []
Exploring Operation: 33+85=118, Resulting Numbers: [43, 45, 118]
Generated Node #2: [43, 45, 118] from Operation: 33+85=118
Current State: 59:[43, 45, 118], Operations: ['33+85=118']
Exploring Operation: 45-43=2, Resulting Numbers: [118, 2]
Generated Node #3: [118, 2] from Operation: 45-43=2
Current State: 59:[118, 2], Operations: ['33+85=118', '45-43=2']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
53,
85,
40,
27
] | 35
|
[
"85-53=32",
"40+27=67",
"67-32=35"
] |
Current State: 35:[53, 85, 40, 27], Operations: []
Exploring Operation: 85-53=32, Resulting Numbers: [40, 27, 32]
Generated Node #2: [40, 27, 32] from Operation: 85-53=32
Current State: 35:[40, 27, 32], Operations: ['85-53=32']
Exploring Operation: 40+27=67, Resulting Numbers: [32, 67]
Generated Node #3: [32, 67] from Operation: 40+27=67
Current State: 35:[32, 67], Operations: ['85-53=32', '40+27=67']
Exploring Operation: 67-32=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
[
42,
57,
93,
54
] | 11
|
[
"57-54=3",
"93/3=31",
"42-31=11"
] |
Current State: 11:[42, 57, 93, 54], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [42, 93, 3]
Generated Node #2: [42, 93, 3] from Operation: 57-54=3
Current State: 11:[42, 93, 3], Operations: ['57-54=3']
Exploring Operation: 93/3=31, Resulting Numbers: [42, 31]
Generated Node #3: [42, 31] from Operation: 93/3=31
Current State: 11:[42, 31], Operations: ['57-54=3', '93/3=31']
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
[
3,
22,
48,
90
] | 44
|
[
"48-3=45",
"22*90=1980",
"1980/45=44"
] |
Current State: 44:[3, 22, 48, 90], Operations: []
Exploring Operation: 48-3=45, Resulting Numbers: [22, 90, 45]
Generated Node #2: [22, 90, 45] from Operation: 48-3=45
Current State: 44:[22, 90, 45], Operations: ['48-3=45']
Exploring Operation: 22*90=1980, Resulting Numbers: [45, 1980]
Generated Node #3: [45, 1980] from Operation: 22*90=1980
Current State: 44:[45, 1980], Operations: ['48-3=45', '22*90=1980']
Exploring Operation: 1980/45=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4
|
[
14,
57,
4,
59
] | 64
|
[
"57-14=43",
"59-43=16",
"4*16=64"
] |
Current State: 64:[14, 57, 4, 59], Operations: []
Exploring Operation: 57-14=43, Resulting Numbers: [4, 59, 43]
Generated Node #2: [4, 59, 43] from Operation: 57-14=43
Current State: 64:[4, 59, 43], Operations: ['57-14=43']
Exploring Operation: 59-43=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 59-43=16
Current State: 64:[4, 16], Operations: ['57-14=43', '59-43=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
[
76,
5,
21,
10
] | 82
|
[
"76-5=71",
"21-10=11",
"71+11=82"
] |
Current State: 82:[76, 5, 21, 10], Operations: []
Exploring Operation: 76-5=71, Resulting Numbers: [21, 10, 71]
Generated Node #2: [21, 10, 71] from Operation: 76-5=71
Current State: 82:[21, 10, 71], Operations: ['76-5=71']
Exploring Operation: 21-10=11, Resulting Numbers: [71, 11]
Generated Node #3: [71, 11] from Operation: 21-10=11
Current State: 82:[71, 11], Operations: ['76-5=71', '21-10=11']
Exploring Operation: 71+11=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
[
2,
24,
42,
77
] | 32
|
[
"42/2=21",
"77-24=53",
"53-21=32"
] |
Current State: 32:[2, 24, 42, 77], Operations: []
Exploring Operation: 42/2=21, Resulting Numbers: [24, 77, 21]
Generated Node #2: [24, 77, 21] from Operation: 42/2=21
Current State: 32:[24, 77, 21], Operations: ['42/2=21']
Exploring Operation: 77-24=53, Resulting Numbers: [21, 53]
Generated Node #3: [21, 53] from Operation: 77-24=53
Current State: 32:[21, 53], Operations: ['42/2=21', '77-24=53']
Exploring Operation: 53-21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
74,
24,
64,
52
] | 86
|
[
"74+24=98",
"64-52=12",
"98-12=86"
] |
Current State: 86:[74, 24, 64, 52], Operations: []
Exploring Operation: 74+24=98, Resulting Numbers: [64, 52, 98]
Generated Node #2: [64, 52, 98] from Operation: 74+24=98
Current State: 86:[64, 52, 98], Operations: ['74+24=98']
Exploring Operation: 64-52=12, Resulting Numbers: [98, 12]
Generated Node #3: [98, 12] from Operation: 64-52=12
Current State: 86:[98, 12], Operations: ['74+24=98', '64-52=12']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
[
54,
98,
80,
37
] | 53
|
[
"80*37=2960",
"2960-98=2862",
"2862/54=53"
] |
Current State: 53:[54, 98, 80, 37], Operations: []
Exploring Operation: 80*37=2960, Resulting Numbers: [54, 98, 2960]
Generated Node #2: [54, 98, 2960] from Operation: 80*37=2960
Current State: 53:[54, 98, 2960], Operations: ['80*37=2960']
Exploring Operation: 2960-98=2862, Resulting Numbers: [54, 2862]
Generated Node #3: [54, 2862] from Operation: 2960-98=2862
Current State: 53:[54, 2862], Operations: ['80*37=2960', '2960-98=2862']
Exploring Operation: 2862/54=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
56,
49,
58,
22
] | 25
|
[
"56+49=105",
"58+22=80",
"105-80=25"
] |
Current State: 25:[56, 49, 58, 22], Operations: []
Exploring Operation: 56+49=105, Resulting Numbers: [58, 22, 105]
Generated Node #2: [58, 22, 105] from Operation: 56+49=105
Current State: 25:[58, 22, 105], Operations: ['56+49=105']
Exploring Operation: 58+22=80, Resulting Numbers: [105, 80]
Generated Node #3: [105, 80] from Operation: 58+22=80
Current State: 25:[105, 80], Operations: ['56+49=105', '58+22=80']
Exploring Operation: 105-80=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
[
31,
2,
12,
4
] | 38
|
[
"31-12=19",
"4-2=2",
"19*2=38"
] |
Current State: 38:[31, 2, 12, 4], Operations: []
Exploring Operation: 31-12=19, Resulting Numbers: [2, 4, 19]
Generated Node #2: [2, 4, 19] from Operation: 31-12=19
Current State: 38:[2, 4, 19], Operations: ['31-12=19']
Exploring Operation: 4-2=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 4-2=2
Current State: 38:[19, 2], Operations: ['31-12=19', '4-2=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
[
12,
5,
46,
9
] | 97
|
[
"12*5=60",
"46-9=37",
"60+37=97"
] |
Current State: 97:[12, 5, 46, 9], Operations: []
Exploring Operation: 12*5=60, Resulting Numbers: [46, 9, 60]
Generated Node #2: [46, 9, 60] from Operation: 12*5=60
Current State: 97:[46, 9, 60], Operations: ['12*5=60']
Exploring Operation: 46-9=37, Resulting Numbers: [60, 37]
Generated Node #3: [60, 37] from Operation: 46-9=37
Current State: 97:[60, 37], Operations: ['12*5=60', '46-9=37']
Exploring Operation: 60+37=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
[
26,
7,
26,
31
] | 61
|
[
"31-26=5",
"7*5=35",
"26+35=61"
] |
Current State: 61:[26, 7, 26, 31], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [7, 5]
Generated Node #2: [7, 5] from Operation: 31-26=5
Current State: 61:[7, 5], Operations: ['31-26=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,61 equal: Goal Reached
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
[
72,
30,
6,
50
] | 92
|
[
"72/6=12",
"30+50=80",
"12+80=92"
] |
Current State: 92:[72, 30, 6, 50], Operations: []
Exploring Operation: 72/6=12, Resulting Numbers: [30, 50, 12]
Generated Node #2: [30, 50, 12] from Operation: 72/6=12
Current State: 92:[30, 50, 12], Operations: ['72/6=12']
Exploring Operation: 30+50=80, Resulting Numbers: [12, 80]
Generated Node #3: [12, 80] from Operation: 30+50=80
Current State: 92:[12, 80], Operations: ['72/6=12', '30+50=80']
Exploring Operation: 12+80=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
[
88,
6,
46,
31
] | 67
|
[
"88-6=82",
"46-31=15",
"82-15=67"
] |
Current State: 67:[88, 6, 46, 31], Operations: []
Exploring Operation: 88-6=82, Resulting Numbers: [46, 31, 82]
Generated Node #2: [46, 31, 82] from Operation: 88-6=82
Current State: 67:[46, 31, 82], Operations: ['88-6=82']
Exploring Operation: 46-31=15, Resulting Numbers: [82, 15]
Generated Node #3: [82, 15] from Operation: 46-31=15
Current State: 67:[82, 15], Operations: ['88-6=82', '46-31=15']
Exploring Operation: 82-15=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
53,
61,
30,
75
] | 97
|
[
"61-53=8",
"30+75=105",
"105-8=97"
] |
Current State: 97:[53, 61, 30, 75], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [30, 75, 8]
Generated Node #2: [30, 75, 8] from Operation: 61-53=8
Current State: 97:[30, 75, 8], Operations: ['61-53=8']
Exploring Operation: 30+75=105, Resulting Numbers: [8, 105]
Generated Node #3: [8, 105] from Operation: 30+75=105
Current State: 97:[8, 105], Operations: ['61-53=8', '30+75=105']
Exploring Operation: 105-8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
[
8,
8,
99,
4
] | 75
|
[
"8+99=107",
"8*4=32",
"107-32=75"
] |
Current State: 75:[8, 8, 99, 4], Operations: []
Exploring Operation: 8+99=107, Resulting Numbers: [4, 107]
Generated Node #2: [4, 107] from Operation: 8+99=107
Current State: 75:[4, 107], Operations: ['8+99=107']
Exploring Operation: 8*4=32, Resulting Numbers: [107, 32]
Generated Node #3: [107, 32] from Operation: 8*4=32
Current State: 75:[107, 32], Operations: ['8+99=107', '8*4=32']
Exploring Operation: 107-32=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
[
5,
55,
28,
30
] | 18
|
[
"5+28=33",
"30*33=990",
"990/55=18"
] |
Current State: 18:[5, 55, 28, 30], Operations: []
Exploring Operation: 5+28=33, Resulting Numbers: [55, 30, 33]
Generated Node #2: [55, 30, 33] from Operation: 5+28=33
Current State: 18:[55, 30, 33], Operations: ['5+28=33']
Exploring Operation: 30*33=990, Resulting Numbers: [55, 990]
Generated Node #3: [55, 990] from Operation: 30*33=990
Current State: 18:[55, 990], Operations: ['5+28=33', '30*33=990']
Exploring Operation: 990/55=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
[
80,
56,
59,
6
] | 63
|
[
"80-56=24",
"24/6=4",
"59+4=63"
] |
Current State: 63:[80, 56, 59, 6], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [59, 6, 24]
Generated Node #2: [59, 6, 24] from Operation: 80-56=24
Current State: 63:[59, 6, 24], Operations: ['80-56=24']
Exploring Operation: 24/6=4, Resulting Numbers: [59, 4]
Generated Node #3: [59, 4] from Operation: 24/6=4
Current State: 63:[59, 4], Operations: ['80-56=24', '24/6=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
[
64,
46,
58,
56
] | 96
|
[
"64-46=18",
"58+56=114",
"114-18=96"
] |
Current State: 96:[64, 46, 58, 56], Operations: []
Exploring Operation: 64-46=18, Resulting Numbers: [58, 56, 18]
Generated Node #2: [58, 56, 18] from Operation: 64-46=18
Current State: 96:[58, 56, 18], Operations: ['64-46=18']
Exploring Operation: 58+56=114, Resulting Numbers: [18, 114]
Generated Node #3: [18, 114] from Operation: 58+56=114
Current State: 96:[18, 114], Operations: ['64-46=18', '58+56=114']
Exploring Operation: 114-18=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
[
58,
62,
93,
32
] | 60
|
[
"58+32=90",
"62*90=5580",
"5580/93=60"
] |
Current State: 60:[58, 62, 93, 32], Operations: []
Exploring Operation: 58+32=90, Resulting Numbers: [62, 93, 90]
Generated Node #2: [62, 93, 90] from Operation: 58+32=90
Current State: 60:[62, 93, 90], Operations: ['58+32=90']
Exploring Operation: 62*90=5580, Resulting Numbers: [93, 5580]
Generated Node #3: [93, 5580] from Operation: 62*90=5580
Current State: 60:[93, 5580], Operations: ['58+32=90', '62*90=5580']
Exploring Operation: 5580/93=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
42,
56,
40,
29
] | 59
|
[
"42*40=1680",
"1680/56=30",
"29+30=59"
] |
Current State: 59:[42, 56, 40, 29], Operations: []
Exploring Operation: 42*40=1680, Resulting Numbers: [56, 29, 1680]
Generated Node #2: [56, 29, 1680] from Operation: 42*40=1680
Current State: 59:[56, 29, 1680], Operations: ['42*40=1680']
Exploring Operation: 1680/56=30, Resulting Numbers: [29, 30]
Generated Node #3: [29, 30] from Operation: 1680/56=30
Current State: 59:[29, 30], Operations: ['42*40=1680', '1680/56=30']
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
11,
20,
23,
41
] | 90
|
[
"41-11=30",
"23-20=3",
"30*3=90"
] |
Current State: 90:[11, 20, 23, 41], Operations: []
Exploring Operation: 41-11=30, Resulting Numbers: [20, 23, 30]
Generated Node #2: [20, 23, 30] from Operation: 41-11=30
Current State: 90:[20, 23, 30], Operations: ['41-11=30']
Exploring Operation: 23-20=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 23-20=3
Current State: 90:[30, 3], Operations: ['41-11=30', '23-20=3']
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
[
35,
75,
2,
97
] | 51
|
[
"75+97=172",
"172/2=86",
"86-35=51"
] |
Current State: 51:[35, 75, 2, 97], Operations: []
Exploring Operation: 75+97=172, Resulting Numbers: [35, 2, 172]
Generated Node #2: [35, 2, 172] from Operation: 75+97=172
Current State: 51:[35, 2, 172], Operations: ['75+97=172']
Exploring Operation: 172/2=86, Resulting Numbers: [35, 86]
Generated Node #3: [35, 86] from Operation: 172/2=86
Current State: 51:[35, 86], Operations: ['75+97=172', '172/2=86']
Exploring Operation: 86-35=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4
|
[
8,
18,
46,
25
] | 73
|
[
"8*18=144",
"46+25=71",
"144-71=73"
] |
Current State: 73:[8, 18, 46, 25], Operations: []
Exploring Operation: 8*18=144, Resulting Numbers: [46, 25, 144]
Generated Node #2: [46, 25, 144] from Operation: 8*18=144
Current State: 73:[46, 25, 144], Operations: ['8*18=144']
Exploring Operation: 46+25=71, Resulting Numbers: [144, 71]
Generated Node #3: [144, 71] from Operation: 46+25=71
Current State: 73:[144, 71], Operations: ['8*18=144', '46+25=71']
Exploring Operation: 144-71=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
[
2,
78,
36,
84
] | 14
|
[
"2*36=72",
"78-72=6",
"84/6=14"
] |
Current State: 14:[2, 78, 36, 84], Operations: []
Exploring Operation: 2*36=72, Resulting Numbers: [78, 84, 72]
Generated Node #2: [78, 84, 72] from Operation: 2*36=72
Current State: 14:[78, 84, 72], Operations: ['2*36=72']
Exploring Operation: 78-72=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 78-72=6
Current State: 14:[84, 6], Operations: ['2*36=72', '78-72=6']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
[
98,
2,
8,
91
] | 34
|
[
"98/2=49",
"91-8=83",
"83-49=34"
] |
Current State: 34:[98, 2, 8, 91], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [8, 91, 49]
Generated Node #2: [8, 91, 49] from Operation: 98/2=49
Current State: 34:[8, 91, 49], Operations: ['98/2=49']
Exploring Operation: 91-8=83, Resulting Numbers: [49, 83]
Generated Node #3: [49, 83] from Operation: 91-8=83
Current State: 34:[49, 83], Operations: ['98/2=49', '91-8=83']
Exploring Operation: 83-49=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4
|
[
28,
45,
18,
56
] | 65
|
[
"56/28=2",
"45+18=63",
"2+63=65"
] |
Current State: 65:[28, 45, 18, 56], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [45, 18, 2]
Generated Node #2: [45, 18, 2] from Operation: 56/28=2
Current State: 65:[45, 18, 2], Operations: ['56/28=2']
Exploring Operation: 45+18=63, Resulting Numbers: [2, 63]
Generated Node #3: [2, 63] from Operation: 45+18=63
Current State: 65:[2, 63], Operations: ['56/28=2', '45+18=63']
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
9,
1,
65,
18
] | 57
|
[
"9+1=10",
"65-18=47",
"10+47=57"
] |
Current State: 57:[9, 1, 65, 18], Operations: []
Exploring Operation: 9+1=10, Resulting Numbers: [65, 18, 10]
Generated Node #2: [65, 18, 10] from Operation: 9+1=10
Current State: 57:[65, 18, 10], Operations: ['9+1=10']
Exploring Operation: 65-18=47, Resulting Numbers: [10, 47]
Generated Node #3: [10, 47] from Operation: 65-18=47
Current State: 57:[10, 47], Operations: ['9+1=10', '65-18=47']
Exploring Operation: 10+47=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
[
7,
33,
15,
37
] | 76
|
[
"33*15=495",
"37+495=532",
"532/7=76"
] |
Current State: 76:[7, 33, 15, 37], Operations: []
Exploring Operation: 33*15=495, Resulting Numbers: [7, 37, 495]
Generated Node #2: [7, 37, 495] from Operation: 33*15=495
Current State: 76:[7, 37, 495], Operations: ['33*15=495']
Exploring Operation: 37+495=532, Resulting Numbers: [7, 532]
Generated Node #3: [7, 532] from Operation: 37+495=532
Current State: 76:[7, 532], Operations: ['33*15=495', '37+495=532']
Exploring Operation: 532/7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
[
46,
30,
6,
4
] | 31
|
[
"6-4=2",
"30/2=15",
"46-15=31"
] |
Current State: 31:[46, 30, 6, 4], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [46, 30, 2]
Generated Node #2: [46, 30, 2] from Operation: 6-4=2
Current State: 31:[46, 30, 2], Operations: ['6-4=2']
Exploring Operation: 30/2=15, Resulting Numbers: [46, 15]
Generated Node #3: [46, 15] from Operation: 30/2=15
Current State: 31:[46, 15], Operations: ['6-4=2', '30/2=15']
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
[
19,
82,
16,
2
] | 69
|
[
"19+82=101",
"16*2=32",
"101-32=69"
] |
Current State: 69:[19, 82, 16, 2], Operations: []
Exploring Operation: 19+82=101, Resulting Numbers: [16, 2, 101]
Generated Node #2: [16, 2, 101] from Operation: 19+82=101
Current State: 69:[16, 2, 101], Operations: ['19+82=101']
Exploring Operation: 16*2=32, Resulting Numbers: [101, 32]
Generated Node #3: [101, 32] from Operation: 16*2=32
Current State: 69:[101, 32], Operations: ['19+82=101', '16*2=32']
Exploring Operation: 101-32=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4
|
[
43,
31,
21,
5
] | 79
|
[
"43-21=22",
"5*22=110",
"110-31=79"
] |
Current State: 79:[43, 31, 21, 5], Operations: []
Exploring Operation: 43-21=22, Resulting Numbers: [31, 5, 22]
Generated Node #2: [31, 5, 22] from Operation: 43-21=22
Current State: 79:[31, 5, 22], Operations: ['43-21=22']
Exploring Operation: 5*22=110, Resulting Numbers: [31, 110]
Generated Node #3: [31, 110] from Operation: 5*22=110
Current State: 79:[31, 110], Operations: ['43-21=22', '5*22=110']
Exploring Operation: 110-31=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
45,
68,
18,
60
] | 65
|
[
"68-45=23",
"60-18=42",
"23+42=65"
] |
Current State: 65:[45, 68, 18, 60], Operations: []
Exploring Operation: 68-45=23, Resulting Numbers: [18, 60, 23]
Generated Node #2: [18, 60, 23] from Operation: 68-45=23
Current State: 65:[18, 60, 23], Operations: ['68-45=23']
Exploring Operation: 60-18=42, Resulting Numbers: [23, 42]
Generated Node #3: [23, 42] from Operation: 60-18=42
Current State: 65:[23, 42], Operations: ['68-45=23', '60-18=42']
Exploring Operation: 23+42=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
[
88,
43,
37,
31
] | 90
|
[
"43+31=74",
"74/37=2",
"88+2=90"
] |
Current State: 90:[88, 43, 37, 31], Operations: []
Exploring Operation: 43+31=74, Resulting Numbers: [88, 37, 74]
Generated Node #2: [88, 37, 74] from Operation: 43+31=74
Current State: 90:[88, 37, 74], Operations: ['43+31=74']
Exploring Operation: 74/37=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 74/37=2
Current State: 90:[88, 2], Operations: ['43+31=74', '74/37=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
[
14,
53,
66,
62
] | 63
|
[
"14+53=67",
"66-62=4",
"67-4=63"
] |
Current State: 63:[14, 53, 66, 62], Operations: []
Exploring Operation: 14+53=67, Resulting Numbers: [66, 62, 67]
Generated Node #2: [66, 62, 67] from Operation: 14+53=67
Current State: 63:[66, 62, 67], Operations: ['14+53=67']
Exploring Operation: 66-62=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 66-62=4
Current State: 63:[67, 4], Operations: ['14+53=67', '66-62=4']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
[
70,
54,
38,
65
] | 35
|
[
"65-38=27",
"70*27=1890",
"1890/54=35"
] |
Current State: 35:[70, 54, 38, 65], Operations: []
Exploring Operation: 65-38=27, Resulting Numbers: [70, 54, 27]
Generated Node #2: [70, 54, 27] from Operation: 65-38=27
Current State: 35:[70, 54, 27], Operations: ['65-38=27']
Exploring Operation: 70*27=1890, Resulting Numbers: [54, 1890]
Generated Node #3: [54, 1890] from Operation: 70*27=1890
Current State: 35:[54, 1890], Operations: ['65-38=27', '70*27=1890']
Exploring Operation: 1890/54=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
[
10,
58,
43,
64
] | 59
|
[
"58-10=48",
"43+64=107",
"107-48=59"
] |
Current State: 59:[10, 58, 43, 64], Operations: []
Exploring Operation: 58-10=48, Resulting Numbers: [43, 64, 48]
Generated Node #2: [43, 64, 48] from Operation: 58-10=48
Current State: 59:[43, 64, 48], Operations: ['58-10=48']
Exploring Operation: 43+64=107, Resulting Numbers: [48, 107]
Generated Node #3: [48, 107] from Operation: 43+64=107
Current State: 59:[48, 107], Operations: ['58-10=48', '43+64=107']
Exploring Operation: 107-48=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
[
2,
14,
72,
39
] | 45
|
[
"14-2=12",
"72-39=33",
"12+33=45"
] |
Current State: 45:[2, 14, 72, 39], Operations: []
Exploring Operation: 14-2=12, Resulting Numbers: [72, 39, 12]
Generated Node #2: [72, 39, 12] from Operation: 14-2=12
Current State: 45:[72, 39, 12], Operations: ['14-2=12']
Exploring Operation: 72-39=33, Resulting Numbers: [12, 33]
Generated Node #3: [12, 33] from Operation: 72-39=33
Current State: 45:[12, 33], Operations: ['14-2=12', '72-39=33']
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
[
28,
46,
23,
4
] | 18
|
[
"28+46=74",
"23*4=92",
"92-74=18"
] |
Current State: 18:[28, 46, 23, 4], Operations: []
Exploring Operation: 28+46=74, Resulting Numbers: [23, 4, 74]
Generated Node #2: [23, 4, 74] from Operation: 28+46=74
Current State: 18:[23, 4, 74], Operations: ['28+46=74']
Exploring Operation: 23*4=92, Resulting Numbers: [74, 92]
Generated Node #3: [74, 92] from Operation: 23*4=92
Current State: 18:[74, 92], Operations: ['28+46=74', '23*4=92']
Exploring Operation: 92-74=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
[
32,
11,
79,
11
] | 74
|
[
"79-32=47",
"11*11=121",
"121-47=74"
] |
Current State: 74:[32, 11, 79, 11], Operations: []
Exploring Operation: 79-32=47, Resulting Numbers: [11, 11, 47]
Generated Node #2: [11, 11, 47] from Operation: 79-32=47
Current State: 74:[11, 11, 47], Operations: ['79-32=47']
Exploring Operation: 11*11=121, Resulting Numbers: [47, 121]
Generated Node #3: [47, 121] from Operation: 11*11=121
Current State: 74:[47, 121], Operations: ['79-32=47', '11*11=121']
Exploring Operation: 121-47=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
[
80,
69,
71,
14
] | 73
|
[
"71-69=2",
"14/2=7",
"80-7=73"
] |
Current State: 73:[80, 69, 71, 14], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [80, 14, 2]
Generated Node #2: [80, 14, 2] from Operation: 71-69=2
Current State: 73:[80, 14, 2], Operations: ['71-69=2']
Exploring Operation: 14/2=7, Resulting Numbers: [80, 7]
Generated Node #3: [80, 7] from Operation: 14/2=7
Current State: 73:[80, 7], Operations: ['71-69=2', '14/2=7']
Exploring Operation: 80-7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
[
11,
83,
62,
77
] | 79
|
[
"11+83=94",
"77-62=15",
"94-15=79"
] |
Current State: 79:[11, 83, 62, 77], Operations: []
Exploring Operation: 11+83=94, Resulting Numbers: [62, 77, 94]
Generated Node #2: [62, 77, 94] from Operation: 11+83=94
Current State: 79:[62, 77, 94], Operations: ['11+83=94']
Exploring Operation: 77-62=15, Resulting Numbers: [94, 15]
Generated Node #3: [94, 15] from Operation: 77-62=15
Current State: 79:[94, 15], Operations: ['11+83=94', '77-62=15']
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
[
92,
2,
16,
11
] | 62
|
[
"16-2=14",
"11*14=154",
"154-92=62"
] |
Current State: 62:[92, 2, 16, 11], Operations: []
Exploring Operation: 16-2=14, Resulting Numbers: [92, 11, 14]
Generated Node #2: [92, 11, 14] from Operation: 16-2=14
Current State: 62:[92, 11, 14], Operations: ['16-2=14']
Exploring Operation: 11*14=154, Resulting Numbers: [92, 154]
Generated Node #3: [92, 154] from Operation: 11*14=154
Current State: 62:[92, 154], Operations: ['16-2=14', '11*14=154']
Exploring Operation: 154-92=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
[
30,
59,
32,
8
] | 24
|
[
"59-30=29",
"32-29=3",
"8*3=24"
] |
Current State: 24:[30, 59, 32, 8], Operations: []
Exploring Operation: 59-30=29, Resulting Numbers: [32, 8, 29]
Generated Node #2: [32, 8, 29] from Operation: 59-30=29
Current State: 24:[32, 8, 29], Operations: ['59-30=29']
Exploring Operation: 32-29=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 32-29=3
Current State: 24:[8, 3], Operations: ['59-30=29', '32-29=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
[
87,
43,
99,
78
] | 32
|
[
"87-78=9",
"99/9=11",
"43-11=32"
] |
Current State: 32:[87, 43, 99, 78], Operations: []
Exploring Operation: 87-78=9, Resulting Numbers: [43, 99, 9]
Generated Node #2: [43, 99, 9] from Operation: 87-78=9
Current State: 32:[43, 99, 9], Operations: ['87-78=9']
Exploring Operation: 99/9=11, Resulting Numbers: [43, 11]
Generated Node #3: [43, 11] from Operation: 99/9=11
Current State: 32:[43, 11], Operations: ['87-78=9', '99/9=11']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
62,
4,
94,
99
] | 60
|
[
"62+94=156",
"156/4=39",
"99-39=60"
] |
Current State: 60:[62, 4, 94, 99], Operations: []
Exploring Operation: 62+94=156, Resulting Numbers: [4, 99, 156]
Generated Node #2: [4, 99, 156] from Operation: 62+94=156
Current State: 60:[4, 99, 156], Operations: ['62+94=156']
Exploring Operation: 156/4=39, Resulting Numbers: [99, 39]
Generated Node #3: [99, 39] from Operation: 156/4=39
Current State: 60:[99, 39], Operations: ['62+94=156', '156/4=39']
Exploring Operation: 99-39=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
[
7,
2,
1,
48
] | 23
|
[
"2+1=3",
"48/3=16",
"7+16=23"
] |
Current State: 23:[7, 2, 1, 48], Operations: []
Exploring Operation: 2+1=3, Resulting Numbers: [7, 48, 3]
Generated Node #2: [7, 48, 3] from Operation: 2+1=3
Current State: 23:[7, 48, 3], Operations: ['2+1=3']
Exploring Operation: 48/3=16, Resulting Numbers: [7, 16]
Generated Node #3: [7, 16] from Operation: 48/3=16
Current State: 23:[7, 16], Operations: ['2+1=3', '48/3=16']
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
[
18,
77,
25,
47
] | 23
|
[
"18+77=95",
"25+47=72",
"95-72=23"
] |
Current State: 23:[18, 77, 25, 47], Operations: []
Exploring Operation: 18+77=95, Resulting Numbers: [25, 47, 95]
Generated Node #2: [25, 47, 95] from Operation: 18+77=95
Current State: 23:[25, 47, 95], Operations: ['18+77=95']
Exploring Operation: 25+47=72, Resulting Numbers: [95, 72]
Generated Node #3: [95, 72] from Operation: 25+47=72
Current State: 23:[95, 72], Operations: ['18+77=95', '25+47=72']
Exploring Operation: 95-72=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
[
7,
84,
47,
40
] | 19
|
[
"84/7=12",
"47-40=7",
"12+7=19"
] |
Current State: 19:[7, 84, 47, 40], Operations: []
Exploring Operation: 84/7=12, Resulting Numbers: [47, 40, 12]
Generated Node #2: [47, 40, 12] from Operation: 84/7=12
Current State: 19:[47, 40, 12], Operations: ['84/7=12']
Exploring Operation: 47-40=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 47-40=7
Current State: 19:[12, 7], Operations: ['84/7=12', '47-40=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
[
54,
16,
40,
26
] | 32
|
[
"54+26=80",
"16*80=1280",
"1280/40=32"
] |
Current State: 32:[54, 16, 40, 26], Operations: []
Exploring Operation: 54+26=80, Resulting Numbers: [16, 40, 80]
Generated Node #2: [16, 40, 80] from Operation: 54+26=80
Current State: 32:[16, 40, 80], Operations: ['54+26=80']
Exploring Operation: 16*80=1280, Resulting Numbers: [40, 1280]
Generated Node #3: [40, 1280] from Operation: 16*80=1280
Current State: 32:[40, 1280], Operations: ['54+26=80', '16*80=1280']
Exploring Operation: 1280/40=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
[
2,
11,
31,
72
] | 94
|
[
"11-2=9",
"31+72=103",
"103-9=94"
] |
Current State: 94:[2, 11, 31, 72], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [31, 72, 9]
Generated Node #2: [31, 72, 9] from Operation: 11-2=9
Current State: 94:[31, 72, 9], Operations: ['11-2=9']
Exploring Operation: 31+72=103, Resulting Numbers: [9, 103]
Generated Node #3: [9, 103] from Operation: 31+72=103
Current State: 94:[9, 103], Operations: ['11-2=9', '31+72=103']
Exploring Operation: 103-9=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
[
4,
37,
7,
21
] | 25
|
[
"4*21=84",
"84/7=12",
"37-12=25"
] |
Current State: 25:[4, 37, 7, 21], Operations: []
Exploring Operation: 4*21=84, Resulting Numbers: [37, 7, 84]
Generated Node #2: [37, 7, 84] from Operation: 4*21=84
Current State: 25:[37, 7, 84], Operations: ['4*21=84']
Exploring Operation: 84/7=12, Resulting Numbers: [37, 12]
Generated Node #3: [37, 12] from Operation: 84/7=12
Current State: 25:[37, 12], Operations: ['4*21=84', '84/7=12']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
[
7,
63,
72,
69
] | 67
|
[
"7+63=70",
"72-69=3",
"70-3=67"
] |
Current State: 67:[7, 63, 72, 69], Operations: []
Exploring Operation: 7+63=70, Resulting Numbers: [72, 69, 70]
Generated Node #2: [72, 69, 70] from Operation: 7+63=70
Current State: 67:[72, 69, 70], Operations: ['7+63=70']
Exploring Operation: 72-69=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 72-69=3
Current State: 67:[70, 3], Operations: ['7+63=70', '72-69=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
[
68,
74,
16,
74
] | 85
|
[
"68+16=84",
"74/74=1",
"84+1=85"
] |
Current State: 85:[68, 74, 16, 74], Operations: []
Exploring Operation: 68+16=84, Resulting Numbers: [74, 74, 84]
Generated Node #2: [74, 74, 84] from Operation: 68+16=84
Current State: 85:[74, 74, 84], Operations: ['68+16=84']
Exploring Operation: 74/74=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 74/74=1
Current State: 85:[84, 1], Operations: ['68+16=84', '74/74=1']
Exploring Operation: 84+1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4
|
[
88,
18,
40,
79
] | 38
|
[
"88-79=9",
"18/9=2",
"40-2=38"
] |
Current State: 38:[88, 18, 40, 79], Operations: []
Exploring Operation: 88-79=9, Resulting Numbers: [18, 40, 9]
Generated Node #2: [18, 40, 9] from Operation: 88-79=9
Current State: 38:[18, 40, 9], Operations: ['88-79=9']
Exploring Operation: 18/9=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 18/9=2
Current State: 38:[40, 2], Operations: ['88-79=9', '18/9=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
[
3,
5,
5,
80
] | 51
|
[
"5+80=85",
"3*85=255",
"255/5=51"
] |
Current State: 51:[3, 5, 5, 80], Operations: []
Exploring Operation: 5+80=85, Resulting Numbers: [3, 85]
Generated Node #2: [3, 85] from Operation: 5+80=85
Current State: 51:[3, 85], Operations: ['5+80=85']
Exploring Operation: 3*85=255, Resulting Numbers: [255]
255,51 equal: Goal Reached
Exploring Operation: 255/5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4
|
[
27,
46,
50,
86
] | 43
|
[
"50-27=23",
"46/23=2",
"86/2=43"
] |
Current State: 43:[27, 46, 50, 86], Operations: []
Exploring Operation: 50-27=23, Resulting Numbers: [46, 86, 23]
Generated Node #2: [46, 86, 23] from Operation: 50-27=23
Current State: 43:[46, 86, 23], Operations: ['50-27=23']
Exploring Operation: 46/23=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 46/23=2
Current State: 43:[86, 2], Operations: ['50-27=23', '46/23=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
[
15,
52,
57,
41
] | 53
|
[
"52-15=37",
"57-41=16",
"37+16=53"
] |
Current State: 53:[15, 52, 57, 41], Operations: []
Exploring Operation: 52-15=37, Resulting Numbers: [57, 41, 37]
Generated Node #2: [57, 41, 37] from Operation: 52-15=37
Current State: 53:[57, 41, 37], Operations: ['52-15=37']
Exploring Operation: 57-41=16, Resulting Numbers: [37, 16]
Generated Node #3: [37, 16] from Operation: 57-41=16
Current State: 53:[37, 16], Operations: ['52-15=37', '57-41=16']
Exploring Operation: 37+16=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
[
84,
50,
20,
44
] | 95
|
[
"84*50=4200",
"4200-20=4180",
"4180/44=95"
] |
Current State: 95:[84, 50, 20, 44], Operations: []
Exploring Operation: 84*50=4200, Resulting Numbers: [20, 44, 4200]
Generated Node #2: [20, 44, 4200] from Operation: 84*50=4200
Current State: 95:[20, 44, 4200], Operations: ['84*50=4200']
Exploring Operation: 4200-20=4180, Resulting Numbers: [44, 4180]
Generated Node #3: [44, 4180] from Operation: 4200-20=4180
Current State: 95:[44, 4180], Operations: ['84*50=4200', '4200-20=4180']
Exploring Operation: 4180/44=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.