nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
8,
22,
82,
25
] | 77 | [
"8+22=30",
"82+25=107",
"107-30=77"
] | Current State: 77:[8, 22, 82, 25], Operations: []
Exploring Operation: 8+22=30, Resulting Numbers: [82, 25, 30]
Generated Node #2: [82, 25, 30] from Operation: 8+22=30
Current State: 77:[82, 25, 30], Operations: ['8+22=30']
Exploring Operation: 82+25=107, Resulting Numbers: [30, 107]
Generated Node #3: [30, 107] from Operation: 82+25=107
Current State: 77:[30, 107], Operations: ['8+22=30', '82+25=107']
Exploring Operation: 107-30=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
90,
35,
37,
3
] | 42 | [
"90/3=30",
"35+37=72",
"72-30=42"
] | Current State: 42:[90, 35, 37, 3], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [35, 37, 30]
Generated Node #2: [35, 37, 30] from Operation: 90/3=30
Current State: 42:[35, 37, 30], Operations: ['90/3=30']
Exploring Operation: 35+37=72, Resulting Numbers: [30, 72]
Generated Node #3: [30, 72] from Operation: 35+37=72
Current State: 42:[30, 72], Operations: ['90/3=30', '35+37=72']
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
41,
64,
69,
63
] | 21 | [
"64-41=23",
"69/23=3",
"63/3=21"
] | Current State: 21:[41, 64, 69, 63], Operations: []
Exploring Operation: 64-41=23, Resulting Numbers: [69, 63, 23]
Generated Node #2: [69, 63, 23] from Operation: 64-41=23
Current State: 21:[69, 63, 23], Operations: ['64-41=23']
Exploring Operation: 69/23=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 69/23=3
Current State: 21:[63, 3], Operations: ['64-41=23', '69/23=3']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
35,
64,
24,
56
] | 67 | [
"35+64=99",
"56-24=32",
"99-32=67"
] | Current State: 67:[35, 64, 24, 56], Operations: []
Exploring Operation: 35+64=99, Resulting Numbers: [24, 56, 99]
Generated Node #2: [24, 56, 99] from Operation: 35+64=99
Current State: 67:[24, 56, 99], Operations: ['35+64=99']
Exploring Operation: 56-24=32, Resulting Numbers: [99, 32]
Generated Node #3: [99, 32] from Operation: 56-24=32
Current State: 67:[99, 32], Operations: ['35+64=99', '56-24=32']
Exploring Operation: 99-32=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
95,
70,
45,
32
] | 38 | [
"95-70=25",
"45-32=13",
"25+13=38"
] | Current State: 38:[95, 70, 45, 32], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [45, 32, 25]
Generated Node #2: [45, 32, 25] from Operation: 95-70=25
Current State: 38:[45, 32, 25], Operations: ['95-70=25']
Exploring Operation: 45-32=13, Resulting Numbers: [25, 13]
Generated Node #3: [25, 13] from Operation: 45-32=13
Current State: 38:[25, 13], Operations: ['95-70=25', '45-32=13']
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
29,
3,
96,
53
] | 56 | [
"29+3=32",
"96/32=3",
"53+3=56"
] | Current State: 56:[29, 3, 96, 53], Operations: []
Exploring Operation: 29+3=32, Resulting Numbers: [96, 53, 32]
Generated Node #2: [96, 53, 32] from Operation: 29+3=32
Current State: 56:[96, 53, 32], Operations: ['29+3=32']
Exploring Operation: 96/32=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 96/32=3
Current State: 56:[53, 3], Operations: ['29+3=32', '96/32=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
18,
67,
75,
76
] | 68 | [
"75-67=8",
"18*8=144",
"144-76=68"
] | Current State: 68:[18, 67, 75, 76], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [18, 76, 8]
Generated Node #2: [18, 76, 8] from Operation: 75-67=8
Current State: 68:[18, 76, 8], Operations: ['75-67=8']
Exploring Operation: 18*8=144, Resulting Numbers: [76, 144]
Generated Node #3: [76, 144] from Operation: 18*8=144
Current State: 68:[76, 144], Operations: ['75-67=8', '18*8=144']
Exploring Operation: 144-76=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
52,
54,
29,
9
] | 49 | [
"54-52=2",
"29*2=58",
"58-9=49"
] | Current State: 49:[52, 54, 29, 9], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [29, 9, 2]
Generated Node #2: [29, 9, 2] from Operation: 54-52=2
Current State: 49:[29, 9, 2], Operations: ['54-52=2']
Exploring Operation: 29*2=58, Resulting Numbers: [9, 58]
Generated Node #3: [9, 58] from Operation: 29*2=58
Current State: 49:[9, 58], Operations: ['54-52=2', '29*2=58']
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
22,
52,
29,
27
] | 86 | [
"52-22=30",
"29+27=56",
"30+56=86"
] | Current State: 86:[22, 52, 29, 27], Operations: []
Exploring Operation: 52-22=30, Resulting Numbers: [29, 27, 30]
Generated Node #2: [29, 27, 30] from Operation: 52-22=30
Current State: 86:[29, 27, 30], Operations: ['52-22=30']
Exploring Operation: 29+27=56, Resulting Numbers: [30, 56]
Generated Node #3: [30, 56] from Operation: 29+27=56
Current State: 86:[30, 56], Operations: ['52-22=30', '29+27=56']
Exploring Operation: 30+56=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
25,
2,
18,
64
] | 32 | [
"25*2=50",
"18+64=82",
"82-50=32"
] | Current State: 32:[25, 2, 18, 64], Operations: []
Exploring Operation: 25*2=50, Resulting Numbers: [18, 64, 50]
Generated Node #2: [18, 64, 50] from Operation: 25*2=50
Current State: 32:[18, 64, 50], Operations: ['25*2=50']
Exploring Operation: 18+64=82, Resulting Numbers: [50, 82]
Generated Node #3: [50, 82] from Operation: 18+64=82
Current State: 32:[50, 82], Operations: ['25*2=50', '18+64=82']
Exploring Operation: 82-50=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
74,
23,
95,
39
] | 29 | [
"23*95=2185",
"2185-39=2146",
"2146/74=29"
] | Current State: 29:[74, 23, 95, 39], Operations: []
Exploring Operation: 23*95=2185, Resulting Numbers: [74, 39, 2185]
Generated Node #2: [74, 39, 2185] from Operation: 23*95=2185
Current State: 29:[74, 39, 2185], Operations: ['23*95=2185']
Exploring Operation: 2185-39=2146, Resulting Numbers: [74, 2146]
Generated Node #3: [74, 2146] from Operation: 2185-39=2146
Current State: 29:[74, 2146], Operations: ['23*95=2185', '2185-39=2146']
Exploring Operation: 2146/74=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
30,
22,
69,
5
] | 53 | [
"30/5=6",
"69-22=47",
"6+47=53"
] | Current State: 53:[30, 22, 69, 5], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [22, 69, 6]
Generated Node #2: [22, 69, 6] from Operation: 30/5=6
Current State: 53:[22, 69, 6], Operations: ['30/5=6']
Exploring Operation: 69-22=47, Resulting Numbers: [6, 47]
Generated Node #3: [6, 47] from Operation: 69-22=47
Current State: 53:[6, 47], Operations: ['30/5=6', '69-22=47']
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
77,
16,
35,
17
] | 10 | [
"77+35=112",
"112/16=7",
"17-7=10"
] | Current State: 10:[77, 16, 35, 17], Operations: []
Exploring Operation: 77+35=112, Resulting Numbers: [16, 17, 112]
Generated Node #2: [16, 17, 112] from Operation: 77+35=112
Current State: 10:[16, 17, 112], Operations: ['77+35=112']
Exploring Operation: 112/16=7, Resulting Numbers: [17, 7]
Generated Node #3: [17, 7] from Operation: 112/16=7
Current State: 10:[17, 7], Operations: ['77+35=112', '112/16=7']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
48,
77,
86,
48
] | 77 | [
"48-48=0",
"86*0=0",
"77+0=77"
] | Current State: 77:[48, 77, 86, 48], Operations: []
Exploring Operation: 48-48=0, Resulting Numbers: [77, 86, 0]
Generated Node #2: [77, 86, 0] from Operation: 48-48=0
Current State: 77:[77, 86, 0], Operations: ['48-48=0']
Exploring Operation: 86*0=0, Resulting Numbers: [77, 0]
Generated Node #3: [77, 0] from Operation: 86*0=0
Current State: 77:[77, 0], Operations: ['48-48=0', '86*0=0']
Exploring Operation: 77+0=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
96,
24,
31,
86
] | 94 | [
"86-24=62",
"62/31=2",
"96-2=94"
] | Current State: 94:[96, 24, 31, 86], Operations: []
Exploring Operation: 86-24=62, Resulting Numbers: [96, 31, 62]
Generated Node #2: [96, 31, 62] from Operation: 86-24=62
Current State: 94:[96, 31, 62], Operations: ['86-24=62']
Exploring Operation: 62/31=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 62/31=2
Current State: 94:[96, 2], Operations: ['86-24=62', '62/31=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
80,
18,
14,
53
] | 23 | [
"80-18=62",
"53-14=39",
"62-39=23"
] | Current State: 23:[80, 18, 14, 53], Operations: []
Exploring Operation: 80-18=62, Resulting Numbers: [14, 53, 62]
Generated Node #2: [14, 53, 62] from Operation: 80-18=62
Current State: 23:[14, 53, 62], Operations: ['80-18=62']
Exploring Operation: 53-14=39, Resulting Numbers: [62, 39]
Generated Node #3: [62, 39] from Operation: 53-14=39
Current State: 23:[62, 39], Operations: ['80-18=62', '53-14=39']
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
58,
99,
83,
58
] | 100 | [
"99-58=41",
"83+58=141",
"141-41=100"
] | Current State: 100:[58, 99, 83, 58], Operations: []
Exploring Operation: 99-58=41, Resulting Numbers: [83, 41]
Generated Node #2: [83, 41] from Operation: 99-58=41
Current State: 100:[83, 41], Operations: ['99-58=41']
Exploring Operation: 83+58=141, Resulting Numbers: [41, 141]
Generated Node #3: [41, 141] from Operation: 83+58=141
Current State: 100:[41, 141], Operations: ['99-58=41', '83+58=141']
Exploring Operation: 141-41=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
66,
82,
30,
54
] | 86 | [
"66+54=120",
"120/30=4",
"82+4=86"
] | Current State: 86:[66, 82, 30, 54], Operations: []
Exploring Operation: 66+54=120, Resulting Numbers: [82, 30, 120]
Generated Node #2: [82, 30, 120] from Operation: 66+54=120
Current State: 86:[82, 30, 120], Operations: ['66+54=120']
Exploring Operation: 120/30=4, Resulting Numbers: [82, 4]
Generated Node #3: [82, 4] from Operation: 120/30=4
Current State: 86:[82, 4], Operations: ['66+54=120', '120/30=4']
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
22,
57,
2,
81
] | 44 | [
"57-22=35",
"81-2=79",
"79-35=44"
] | Current State: 44:[22, 57, 2, 81], Operations: []
Exploring Operation: 57-22=35, Resulting Numbers: [2, 81, 35]
Generated Node #2: [2, 81, 35] from Operation: 57-22=35
Current State: 44:[2, 81, 35], Operations: ['57-22=35']
Exploring Operation: 81-2=79, Resulting Numbers: [35, 79]
Generated Node #3: [35, 79] from Operation: 81-2=79
Current State: 44:[35, 79], Operations: ['57-22=35', '81-2=79']
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
53,
3,
86,
57
] | 46 | [
"86-53=33",
"33/3=11",
"57-11=46"
] | Current State: 46:[53, 3, 86, 57], Operations: []
Exploring Operation: 86-53=33, Resulting Numbers: [3, 57, 33]
Generated Node #2: [3, 57, 33] from Operation: 86-53=33
Current State: 46:[3, 57, 33], Operations: ['86-53=33']
Exploring Operation: 33/3=11, Resulting Numbers: [57, 11]
Generated Node #3: [57, 11] from Operation: 33/3=11
Current State: 46:[57, 11], Operations: ['86-53=33', '33/3=11']
Exploring Operation: 57-11=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
96,
5,
35,
72
] | 24 | [
"96+72=168",
"35/5=7",
"168/7=24"
] | Current State: 24:[96, 5, 35, 72], Operations: []
Exploring Operation: 96+72=168, Resulting Numbers: [5, 35, 168]
Generated Node #2: [5, 35, 168] from Operation: 96+72=168
Current State: 24:[5, 35, 168], Operations: ['96+72=168']
Exploring Operation: 35/5=7, Resulting Numbers: [168, 7]
Generated Node #3: [168, 7] from Operation: 35/5=7
Current State: 24:[168, 7], Operations: ['96+72=168', '35/5=7']
Exploring Operation: 168/7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
89,
69,
15,
66
] | 31 | [
"89-69=20",
"66-15=51",
"51-20=31"
] | Current State: 31:[89, 69, 15, 66], Operations: []
Exploring Operation: 89-69=20, Resulting Numbers: [15, 66, 20]
Generated Node #2: [15, 66, 20] from Operation: 89-69=20
Current State: 31:[15, 66, 20], Operations: ['89-69=20']
Exploring Operation: 66-15=51, Resulting Numbers: [20, 51]
Generated Node #3: [20, 51] from Operation: 66-15=51
Current State: 31:[20, 51], Operations: ['89-69=20', '66-15=51']
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
1,
44,
19,
39
] | 25 | [
"1+44=45",
"39-19=20",
"45-20=25"
] | Current State: 25:[1, 44, 19, 39], Operations: []
Exploring Operation: 1+44=45, Resulting Numbers: [19, 39, 45]
Generated Node #2: [19, 39, 45] from Operation: 1+44=45
Current State: 25:[19, 39, 45], Operations: ['1+44=45']
Exploring Operation: 39-19=20, Resulting Numbers: [45, 20]
Generated Node #3: [45, 20] from Operation: 39-19=20
Current State: 25:[45, 20], Operations: ['1+44=45', '39-19=20']
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
28,
16,
30,
3
] | 11 | [
"28+16=44",
"30+3=33",
"44-33=11"
] | Current State: 11:[28, 16, 30, 3], Operations: []
Exploring Operation: 28+16=44, Resulting Numbers: [30, 3, 44]
Generated Node #2: [30, 3, 44] from Operation: 28+16=44
Current State: 11:[30, 3, 44], Operations: ['28+16=44']
Exploring Operation: 30+3=33, Resulting Numbers: [44, 33]
Generated Node #3: [44, 33] from Operation: 30+3=33
Current State: 11:[44, 33], Operations: ['28+16=44', '30+3=33']
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
24,
66,
42,
41
] | 43 | [
"66-24=42",
"42-41=1",
"42+1=43"
] | Current State: 43:[24, 66, 42, 41], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [42, 41, 42]
Generated Node #2: [42, 41, 42] from Operation: 66-24=42
Current State: 43:[42, 41, 42], Operations: ['66-24=42']
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,43 equal: Goal Reached
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
77,
84,
91,
18
] | 49 | [
"91-84=7",
"18*7=126",
"126-77=49"
] | Current State: 49:[77, 84, 91, 18], Operations: []
Exploring Operation: 91-84=7, Resulting Numbers: [77, 18, 7]
Generated Node #2: [77, 18, 7] from Operation: 91-84=7
Current State: 49:[77, 18, 7], Operations: ['91-84=7']
Exploring Operation: 18*7=126, Resulting Numbers: [77, 126]
Generated Node #3: [77, 126] from Operation: 18*7=126
Current State: 49:[77, 126], Operations: ['91-84=7', '18*7=126']
Exploring Operation: 126-77=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
48,
66,
3,
86
] | 80 | [
"66-48=18",
"18/3=6",
"86-6=80"
] | Current State: 80:[48, 66, 3, 86], Operations: []
Exploring Operation: 66-48=18, Resulting Numbers: [3, 86, 18]
Generated Node #2: [3, 86, 18] from Operation: 66-48=18
Current State: 80:[3, 86, 18], Operations: ['66-48=18']
Exploring Operation: 18/3=6, Resulting Numbers: [86, 6]
Generated Node #3: [86, 6] from Operation: 18/3=6
Current State: 80:[86, 6], Operations: ['66-48=18', '18/3=6']
Exploring Operation: 86-6=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
21,
48,
55,
52
] | 81 | [
"48-21=27",
"55-52=3",
"27*3=81"
] | Current State: 81:[21, 48, 55, 52], Operations: []
Exploring Operation: 48-21=27, Resulting Numbers: [55, 52, 27]
Generated Node #2: [55, 52, 27] from Operation: 48-21=27
Current State: 81:[55, 52, 27], Operations: ['48-21=27']
Exploring Operation: 55-52=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 55-52=3
Current State: 81:[27, 3], Operations: ['48-21=27', '55-52=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
57,
5,
38,
8
] | 63 | [
"38-8=30",
"30/5=6",
"57+6=63"
] | Current State: 63:[57, 5, 38, 8], Operations: []
Exploring Operation: 38-8=30, Resulting Numbers: [57, 5, 30]
Generated Node #2: [57, 5, 30] from Operation: 38-8=30
Current State: 63:[57, 5, 30], Operations: ['38-8=30']
Exploring Operation: 30/5=6, Resulting Numbers: [57, 6]
Generated Node #3: [57, 6] from Operation: 30/5=6
Current State: 63:[57, 6], Operations: ['38-8=30', '30/5=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
8,
2,
77,
68
] | 88 | [
"2+77=79",
"79-68=11",
"8*11=88"
] | Current State: 88:[8, 2, 77, 68], Operations: []
Exploring Operation: 2+77=79, Resulting Numbers: [8, 68, 79]
Generated Node #2: [8, 68, 79] from Operation: 2+77=79
Current State: 88:[8, 68, 79], Operations: ['2+77=79']
Exploring Operation: 79-68=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 79-68=11
Current State: 88:[8, 11], Operations: ['2+77=79', '79-68=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
6,
88,
82,
45
] | 57 | [
"6+88=94",
"82-45=37",
"94-37=57"
] | Current State: 57:[6, 88, 82, 45], Operations: []
Exploring Operation: 6+88=94, Resulting Numbers: [82, 45, 94]
Generated Node #2: [82, 45, 94] from Operation: 6+88=94
Current State: 57:[82, 45, 94], Operations: ['6+88=94']
Exploring Operation: 82-45=37, Resulting Numbers: [94, 37]
Generated Node #3: [94, 37] from Operation: 82-45=37
Current State: 57:[94, 37], Operations: ['6+88=94', '82-45=37']
Exploring Operation: 94-37=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
53,
50,
31,
26
] | 98 | [
"53+50=103",
"31-26=5",
"103-5=98"
] | Current State: 98:[53, 50, 31, 26], Operations: []
Exploring Operation: 53+50=103, Resulting Numbers: [31, 26, 103]
Generated Node #2: [31, 26, 103] from Operation: 53+50=103
Current State: 98:[31, 26, 103], Operations: ['53+50=103']
Exploring Operation: 31-26=5, Resulting Numbers: [103, 5]
Generated Node #3: [103, 5] from Operation: 31-26=5
Current State: 98:[103, 5], Operations: ['53+50=103', '31-26=5']
Exploring Operation: 103-5=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
2,
97,
66,
35
] | 58 | [
"97-35=62",
"2*62=124",
"124-66=58"
] | Current State: 58:[2, 97, 66, 35], Operations: []
Exploring Operation: 97-35=62, Resulting Numbers: [2, 66, 62]
Generated Node #2: [2, 66, 62] from Operation: 97-35=62
Current State: 58:[2, 66, 62], Operations: ['97-35=62']
Exploring Operation: 2*62=124, Resulting Numbers: [66, 124]
Generated Node #3: [66, 124] from Operation: 2*62=124
Current State: 58:[66, 124], Operations: ['97-35=62', '2*62=124']
Exploring Operation: 124-66=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
20,
2,
57,
31
] | 24 | [
"57+31=88",
"88/2=44",
"44-20=24"
] | Current State: 24:[20, 2, 57, 31], Operations: []
Exploring Operation: 57+31=88, Resulting Numbers: [20, 2, 88]
Generated Node #2: [20, 2, 88] from Operation: 57+31=88
Current State: 24:[20, 2, 88], Operations: ['57+31=88']
Exploring Operation: 88/2=44, Resulting Numbers: [20, 44]
Generated Node #3: [20, 44] from Operation: 88/2=44
Current State: 24:[20, 44], Operations: ['57+31=88', '88/2=44']
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
96,
42,
49,
21
] | 93 | [
"49-42=7",
"21/7=3",
"96-3=93"
] | Current State: 93:[96, 42, 49, 21], Operations: []
Exploring Operation: 49-42=7, Resulting Numbers: [96, 21, 7]
Generated Node #2: [96, 21, 7] from Operation: 49-42=7
Current State: 93:[96, 21, 7], Operations: ['49-42=7']
Exploring Operation: 21/7=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 21/7=3
Current State: 93:[96, 3], Operations: ['49-42=7', '21/7=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
82,
87,
98,
37
] | 66 | [
"87-82=5",
"98-37=61",
"5+61=66"
] | Current State: 66:[82, 87, 98, 37], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [98, 37, 5]
Generated Node #2: [98, 37, 5] from Operation: 87-82=5
Current State: 66:[98, 37, 5], Operations: ['87-82=5']
Exploring Operation: 98-37=61, Resulting Numbers: [5, 61]
Generated Node #3: [5, 61] from Operation: 98-37=61
Current State: 66:[5, 61], Operations: ['87-82=5', '98-37=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
70,
24,
86,
8
] | 36 | [
"70+86=156",
"24*8=192",
"192-156=36"
] | Current State: 36:[70, 24, 86, 8], Operations: []
Exploring Operation: 70+86=156, Resulting Numbers: [24, 8, 156]
Generated Node #2: [24, 8, 156] from Operation: 70+86=156
Current State: 36:[24, 8, 156], Operations: ['70+86=156']
Exploring Operation: 24*8=192, Resulting Numbers: [156, 192]
Generated Node #3: [156, 192] from Operation: 24*8=192
Current State: 36:[156, 192], Operations: ['70+86=156', '24*8=192']
Exploring Operation: 192-156=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
18,
88,
30,
13
] | 63 | [
"18+88=106",
"30+13=43",
"106-43=63"
] | Current State: 63:[18, 88, 30, 13], Operations: []
Exploring Operation: 18+88=106, Resulting Numbers: [30, 13, 106]
Generated Node #2: [30, 13, 106] from Operation: 18+88=106
Current State: 63:[30, 13, 106], Operations: ['18+88=106']
Exploring Operation: 30+13=43, Resulting Numbers: [106, 43]
Generated Node #3: [106, 43] from Operation: 30+13=43
Current State: 63:[106, 43], Operations: ['18+88=106', '30+13=43']
Exploring Operation: 106-43=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
4,
71,
6,
67
] | 92 | [
"71+67=138",
"4*138=552",
"552/6=92"
] | Current State: 92:[4, 71, 6, 67], Operations: []
Exploring Operation: 71+67=138, Resulting Numbers: [4, 6, 138]
Generated Node #2: [4, 6, 138] from Operation: 71+67=138
Current State: 92:[4, 6, 138], Operations: ['71+67=138']
Exploring Operation: 4*138=552, Resulting Numbers: [6, 552]
Generated Node #3: [6, 552] from Operation: 4*138=552
Current State: 92:[6, 552], Operations: ['71+67=138', '4*138=552']
Exploring Operation: 552/6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
21,
35,
82,
89
] | 49 | [
"21+35=56",
"89-82=7",
"56-7=49"
] | Current State: 49:[21, 35, 82, 89], Operations: []
Exploring Operation: 21+35=56, Resulting Numbers: [82, 89, 56]
Generated Node #2: [82, 89, 56] from Operation: 21+35=56
Current State: 49:[82, 89, 56], Operations: ['21+35=56']
Exploring Operation: 89-82=7, Resulting Numbers: [56, 7]
Generated Node #3: [56, 7] from Operation: 89-82=7
Current State: 49:[56, 7], Operations: ['21+35=56', '89-82=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
30,
21,
68,
9
] | 69 | [
"30-21=9",
"9/9=1",
"68+1=69"
] | Current State: 69:[30, 21, 68, 9], Operations: []
Exploring Operation: 30-21=9, Resulting Numbers: [68, 9, 9]
Generated Node #2: [68, 9, 9] from Operation: 30-21=9
Current State: 69:[68, 9, 9], Operations: ['30-21=9']
Exploring Operation: 9/9=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 9/9=1
Current State: 69:[68, 1], Operations: ['30-21=9', '9/9=1']
Exploring Operation: 68+1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
79,
43,
23
] | 10 | [
"2*23=46",
"79-43=36",
"46-36=10"
] | Current State: 10:[2, 79, 43, 23], Operations: []
Exploring Operation: 2*23=46, Resulting Numbers: [79, 43, 46]
Generated Node #2: [79, 43, 46] from Operation: 2*23=46
Current State: 10:[79, 43, 46], Operations: ['2*23=46']
Exploring Operation: 79-43=36, Resulting Numbers: [46, 36]
Generated Node #3: [46, 36] from Operation: 79-43=36
Current State: 10:[46, 36], Operations: ['2*23=46', '79-43=36']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
32,
82,
25,
26
] | 50 | [
"82-32=50",
"26-25=1",
"50*1=50"
] | Current State: 50:[32, 82, 25, 26], Operations: []
Exploring Operation: 82-32=50, Resulting Numbers: [25, 26, 50]
Generated Node #2: [25, 26, 50] from Operation: 82-32=50
Current State: 50:[25, 26, 50], Operations: ['82-32=50']
Exploring Operation: 26-25=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 26-25=1
Current State: 50:[50, 1], Operations: ['82-32=50', '26-25=1']
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
71,
53,
72,
38
] | 52 | [
"71-53=18",
"72-38=34",
"18+34=52"
] | Current State: 52:[71, 53, 72, 38], Operations: []
Exploring Operation: 71-53=18, Resulting Numbers: [72, 38, 18]
Generated Node #2: [72, 38, 18] from Operation: 71-53=18
Current State: 52:[72, 38, 18], Operations: ['71-53=18']
Exploring Operation: 72-38=34, Resulting Numbers: [18, 34]
Generated Node #3: [18, 34] from Operation: 72-38=34
Current State: 52:[18, 34], Operations: ['71-53=18', '72-38=34']
Exploring Operation: 18+34=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
76,
43,
46,
24
] | 50 | [
"43-24=19",
"76/19=4",
"46+4=50"
] | Current State: 50:[76, 43, 46, 24], Operations: []
Exploring Operation: 43-24=19, Resulting Numbers: [76, 46, 19]
Generated Node #2: [76, 46, 19] from Operation: 43-24=19
Current State: 50:[76, 46, 19], Operations: ['43-24=19']
Exploring Operation: 76/19=4, Resulting Numbers: [46, 4]
Generated Node #3: [46, 4] from Operation: 76/19=4
Current State: 50:[46, 4], Operations: ['43-24=19', '76/19=4']
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
43,
29,
28,
66
] | 52 | [
"43-29=14",
"66-28=38",
"14+38=52"
] | Current State: 52:[43, 29, 28, 66], Operations: []
Exploring Operation: 43-29=14, Resulting Numbers: [28, 66, 14]
Generated Node #2: [28, 66, 14] from Operation: 43-29=14
Current State: 52:[28, 66, 14], Operations: ['43-29=14']
Exploring Operation: 66-28=38, Resulting Numbers: [14, 38]
Generated Node #3: [14, 38] from Operation: 66-28=38
Current State: 52:[14, 38], Operations: ['43-29=14', '66-28=38']
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
60,
13,
24,
15
] | 42 | [
"60+24=84",
"15-13=2",
"84/2=42"
] | Current State: 42:[60, 13, 24, 15], Operations: []
Exploring Operation: 60+24=84, Resulting Numbers: [13, 15, 84]
Generated Node #2: [13, 15, 84] from Operation: 60+24=84
Current State: 42:[13, 15, 84], Operations: ['60+24=84']
Exploring Operation: 15-13=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 15-13=2
Current State: 42:[84, 2], Operations: ['60+24=84', '15-13=2']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
63,
20,
78,
75
] | 70 | [
"63+20=83",
"78+75=153",
"153-83=70"
] | Current State: 70:[63, 20, 78, 75], Operations: []
Exploring Operation: 63+20=83, Resulting Numbers: [78, 75, 83]
Generated Node #2: [78, 75, 83] from Operation: 63+20=83
Current State: 70:[78, 75, 83], Operations: ['63+20=83']
Exploring Operation: 78+75=153, Resulting Numbers: [83, 153]
Generated Node #3: [83, 153] from Operation: 78+75=153
Current State: 70:[83, 153], Operations: ['63+20=83', '78+75=153']
Exploring Operation: 153-83=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
68,
77,
6,
75
] | 17 | [
"75-68=7",
"77/7=11",
"6+11=17"
] | Current State: 17:[68, 77, 6, 75], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [77, 6, 7]
Generated Node #2: [77, 6, 7] from Operation: 75-68=7
Current State: 17:[77, 6, 7], Operations: ['75-68=7']
Exploring Operation: 77/7=11, Resulting Numbers: [6, 11]
Generated Node #3: [6, 11] from Operation: 77/7=11
Current State: 17:[6, 11], Operations: ['75-68=7', '77/7=11']
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
3,
26,
96,
44
] | 62 | [
"3*26=78",
"96+44=140",
"140-78=62"
] | Current State: 62:[3, 26, 96, 44], Operations: []
Exploring Operation: 3*26=78, Resulting Numbers: [96, 44, 78]
Generated Node #2: [96, 44, 78] from Operation: 3*26=78
Current State: 62:[96, 44, 78], Operations: ['3*26=78']
Exploring Operation: 96+44=140, Resulting Numbers: [78, 140]
Generated Node #3: [78, 140] from Operation: 96+44=140
Current State: 62:[78, 140], Operations: ['3*26=78', '96+44=140']
Exploring Operation: 140-78=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
58,
33,
1,
75
] | 49 | [
"58-33=25",
"75-1=74",
"74-25=49"
] | Current State: 49:[58, 33, 1, 75], Operations: []
Exploring Operation: 58-33=25, Resulting Numbers: [1, 75, 25]
Generated Node #2: [1, 75, 25] from Operation: 58-33=25
Current State: 49:[1, 75, 25], Operations: ['58-33=25']
Exploring Operation: 75-1=74, Resulting Numbers: [25, 74]
Generated Node #3: [25, 74] from Operation: 75-1=74
Current State: 49:[25, 74], Operations: ['58-33=25', '75-1=74']
Exploring Operation: 74-25=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
87,
81,
10,
29
] | 98 | [
"81+29=110",
"110/10=11",
"87+11=98"
] | Current State: 98:[87, 81, 10, 29], Operations: []
Exploring Operation: 81+29=110, Resulting Numbers: [87, 10, 110]
Generated Node #2: [87, 10, 110] from Operation: 81+29=110
Current State: 98:[87, 10, 110], Operations: ['81+29=110']
Exploring Operation: 110/10=11, Resulting Numbers: [87, 11]
Generated Node #3: [87, 11] from Operation: 110/10=11
Current State: 98:[87, 11], Operations: ['81+29=110', '110/10=11']
Exploring Operation: 87+11=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
20,
15,
31,
62
] | 88 | [
"20-15=5",
"31+62=93",
"93-5=88"
] | Current State: 88:[20, 15, 31, 62], Operations: []
Exploring Operation: 20-15=5, Resulting Numbers: [31, 62, 5]
Generated Node #2: [31, 62, 5] from Operation: 20-15=5
Current State: 88:[31, 62, 5], Operations: ['20-15=5']
Exploring Operation: 31+62=93, Resulting Numbers: [5, 93]
Generated Node #3: [5, 93] from Operation: 31+62=93
Current State: 88:[5, 93], Operations: ['20-15=5', '31+62=93']
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
78,
73,
70,
18
] | 57 | [
"78-73=5",
"70-18=52",
"5+52=57"
] | Current State: 57:[78, 73, 70, 18], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [70, 18, 5]
Generated Node #2: [70, 18, 5] from Operation: 78-73=5
Current State: 57:[70, 18, 5], Operations: ['78-73=5']
Exploring Operation: 70-18=52, Resulting Numbers: [5, 52]
Generated Node #3: [5, 52] from Operation: 70-18=52
Current State: 57:[5, 52], Operations: ['78-73=5', '70-18=52']
Exploring Operation: 5+52=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
78,
24,
75,
19
] | 93 | [
"24-19=5",
"75/5=15",
"78+15=93"
] | Current State: 93:[78, 24, 75, 19], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [78, 75, 5]
Generated Node #2: [78, 75, 5] from Operation: 24-19=5
Current State: 93:[78, 75, 5], Operations: ['24-19=5']
Exploring Operation: 75/5=15, Resulting Numbers: [78, 15]
Generated Node #3: [78, 15] from Operation: 75/5=15
Current State: 93:[78, 15], Operations: ['24-19=5', '75/5=15']
Exploring Operation: 78+15=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
96,
39,
38,
82
] | 13 | [
"96-39=57",
"82-38=44",
"57-44=13"
] | Current State: 13:[96, 39, 38, 82], Operations: []
Exploring Operation: 96-39=57, Resulting Numbers: [38, 82, 57]
Generated Node #2: [38, 82, 57] from Operation: 96-39=57
Current State: 13:[38, 82, 57], Operations: ['96-39=57']
Exploring Operation: 82-38=44, Resulting Numbers: [57, 44]
Generated Node #3: [57, 44] from Operation: 82-38=44
Current State: 13:[57, 44], Operations: ['96-39=57', '82-38=44']
Exploring Operation: 57-44=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
57,
93,
5,
58
] | 50 | [
"93-58=35",
"35/5=7",
"57-7=50"
] | Current State: 50:[57, 93, 5, 58], Operations: []
Exploring Operation: 93-58=35, Resulting Numbers: [57, 5, 35]
Generated Node #2: [57, 5, 35] from Operation: 93-58=35
Current State: 50:[57, 5, 35], Operations: ['93-58=35']
Exploring Operation: 35/5=7, Resulting Numbers: [57, 7]
Generated Node #3: [57, 7] from Operation: 35/5=7
Current State: 50:[57, 7], Operations: ['93-58=35', '35/5=7']
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
44,
33,
65,
85
] | 15 | [
"85-65=20",
"33*20=660",
"660/44=15"
] | Current State: 15:[44, 33, 65, 85], Operations: []
Exploring Operation: 85-65=20, Resulting Numbers: [44, 33, 20]
Generated Node #2: [44, 33, 20] from Operation: 85-65=20
Current State: 15:[44, 33, 20], Operations: ['85-65=20']
Exploring Operation: 33*20=660, Resulting Numbers: [44, 660]
Generated Node #3: [44, 660] from Operation: 33*20=660
Current State: 15:[44, 660], Operations: ['85-65=20', '33*20=660']
Exploring Operation: 660/44=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
17,
23,
2,
9
] | 23 | [
"2*9=18",
"18-17=1",
"23*1=23"
] | Current State: 23:[17, 23, 2, 9], Operations: []
Exploring Operation: 2*9=18, Resulting Numbers: [17, 23, 18]
Generated Node #2: [17, 23, 18] from Operation: 2*9=18
Current State: 23:[17, 23, 18], Operations: ['2*9=18']
Exploring Operation: 18-17=1, Resulting Numbers: [23, 1]
Generated Node #3: [23, 1] from Operation: 18-17=1
Current State: 23:[23, 1], Operations: ['2*9=18', '18-17=1']
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
9,
27,
36,
30
] | 24 | [
"27-9=18",
"36-30=6",
"18+6=24"
] | Current State: 24:[9, 27, 36, 30], Operations: []
Exploring Operation: 27-9=18, Resulting Numbers: [36, 30, 18]
Generated Node #2: [36, 30, 18] from Operation: 27-9=18
Current State: 24:[36, 30, 18], Operations: ['27-9=18']
Exploring Operation: 36-30=6, Resulting Numbers: [18, 6]
Generated Node #3: [18, 6] from Operation: 36-30=6
Current State: 24:[18, 6], Operations: ['27-9=18', '36-30=6']
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
47,
60,
32,
26
] | 94 | [
"60-32=28",
"28-26=2",
"47*2=94"
] | Current State: 94:[47, 60, 32, 26], Operations: []
Exploring Operation: 60-32=28, Resulting Numbers: [47, 26, 28]
Generated Node #2: [47, 26, 28] from Operation: 60-32=28
Current State: 94:[47, 26, 28], Operations: ['60-32=28']
Exploring Operation: 28-26=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 28-26=2
Current State: 94:[47, 2], Operations: ['60-32=28', '28-26=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
48,
29,
45,
19
] | 30 | [
"48-45=3",
"29-19=10",
"3*10=30"
] | Current State: 30:[48, 29, 45, 19], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [29, 19, 3]
Generated Node #2: [29, 19, 3] from Operation: 48-45=3
Current State: 30:[29, 19, 3], Operations: ['48-45=3']
Exploring Operation: 29-19=10, Resulting Numbers: [3, 10]
Generated Node #3: [3, 10] from Operation: 29-19=10
Current State: 30:[3, 10], Operations: ['48-45=3', '29-19=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
50,
31,
61,
14
] | 56 | [
"50-31=19",
"61+14=75",
"75-19=56"
] | Current State: 56:[50, 31, 61, 14], Operations: []
Exploring Operation: 50-31=19, Resulting Numbers: [61, 14, 19]
Generated Node #2: [61, 14, 19] from Operation: 50-31=19
Current State: 56:[61, 14, 19], Operations: ['50-31=19']
Exploring Operation: 61+14=75, Resulting Numbers: [19, 75]
Generated Node #3: [19, 75] from Operation: 61+14=75
Current State: 56:[19, 75], Operations: ['50-31=19', '61+14=75']
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
2,
80,
9,
21
] | 28 | [
"80/2=40",
"21-9=12",
"40-12=28"
] | Current State: 28:[2, 80, 9, 21], Operations: []
Exploring Operation: 80/2=40, Resulting Numbers: [9, 21, 40]
Generated Node #2: [9, 21, 40] from Operation: 80/2=40
Current State: 28:[9, 21, 40], Operations: ['80/2=40']
Exploring Operation: 21-9=12, Resulting Numbers: [40, 12]
Generated Node #3: [40, 12] from Operation: 21-9=12
Current State: 28:[40, 12], Operations: ['80/2=40', '21-9=12']
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
31,
16,
25,
52
] | 42 | [
"31-16=15",
"52-25=27",
"15+27=42"
] | Current State: 42:[31, 16, 25, 52], Operations: []
Exploring Operation: 31-16=15, Resulting Numbers: [25, 52, 15]
Generated Node #2: [25, 52, 15] from Operation: 31-16=15
Current State: 42:[25, 52, 15], Operations: ['31-16=15']
Exploring Operation: 52-25=27, Resulting Numbers: [15, 27]
Generated Node #3: [15, 27] from Operation: 52-25=27
Current State: 42:[15, 27], Operations: ['31-16=15', '52-25=27']
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
21,
56,
5,
90
] | 48 | [
"21*5=105",
"56*90=5040",
"5040/105=48"
] | Current State: 48:[21, 56, 5, 90], Operations: []
Exploring Operation: 21*5=105, Resulting Numbers: [56, 90, 105]
Generated Node #2: [56, 90, 105] from Operation: 21*5=105
Current State: 48:[56, 90, 105], Operations: ['21*5=105']
Exploring Operation: 56*90=5040, Resulting Numbers: [105, 5040]
Generated Node #3: [105, 5040] from Operation: 56*90=5040
Current State: 48:[105, 5040], Operations: ['21*5=105', '56*90=5040']
Exploring Operation: 5040/105=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
64,
46,
79,
7
] | 68 | [
"64-46=18",
"79+7=86",
"86-18=68"
] | Current State: 68:[64, 46, 79, 7], Operations: []
Exploring Operation: 64-46=18, Resulting Numbers: [79, 7, 18]
Generated Node #2: [79, 7, 18] from Operation: 64-46=18
Current State: 68:[79, 7, 18], Operations: ['64-46=18']
Exploring Operation: 79+7=86, Resulting Numbers: [18, 86]
Generated Node #3: [18, 86] from Operation: 79+7=86
Current State: 68:[18, 86], Operations: ['64-46=18', '79+7=86']
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
30,
33,
15,
60
] | 90 | [
"30*33=990",
"15*60=900",
"990-900=90"
] | Current State: 90:[30, 33, 15, 60], Operations: []
Exploring Operation: 30*33=990, Resulting Numbers: [15, 60, 990]
Generated Node #2: [15, 60, 990] from Operation: 30*33=990
Current State: 90:[15, 60, 990], Operations: ['30*33=990']
Exploring Operation: 15*60=900, Resulting Numbers: [990, 900]
Generated Node #3: [990, 900] from Operation: 15*60=900
Current State: 90:[990, 900], Operations: ['30*33=990', '15*60=900']
Exploring Operation: 990-900=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
95,
97,
71,
99
] | 83 | [
"95+71=166",
"99-97=2",
"166/2=83"
] | Current State: 83:[95, 97, 71, 99], Operations: []
Exploring Operation: 95+71=166, Resulting Numbers: [97, 99, 166]
Generated Node #2: [97, 99, 166] from Operation: 95+71=166
Current State: 83:[97, 99, 166], Operations: ['95+71=166']
Exploring Operation: 99-97=2, Resulting Numbers: [166, 2]
Generated Node #3: [166, 2] from Operation: 99-97=2
Current State: 83:[166, 2], Operations: ['95+71=166', '99-97=2']
Exploring Operation: 166/2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
10,
51,
20,
62
] | 21 | [
"10+51=61",
"20+62=82",
"82-61=21"
] | Current State: 21:[10, 51, 20, 62], Operations: []
Exploring Operation: 10+51=61, Resulting Numbers: [20, 62, 61]
Generated Node #2: [20, 62, 61] from Operation: 10+51=61
Current State: 21:[20, 62, 61], Operations: ['10+51=61']
Exploring Operation: 20+62=82, Resulting Numbers: [61, 82]
Generated Node #3: [61, 82] from Operation: 20+62=82
Current State: 21:[61, 82], Operations: ['10+51=61', '20+62=82']
Exploring Operation: 82-61=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
35,
80,
8,
56
] | 38 | [
"80-35=45",
"56/8=7",
"45-7=38"
] | Current State: 38:[35, 80, 8, 56], Operations: []
Exploring Operation: 80-35=45, Resulting Numbers: [8, 56, 45]
Generated Node #2: [8, 56, 45] from Operation: 80-35=45
Current State: 38:[8, 56, 45], Operations: ['80-35=45']
Exploring Operation: 56/8=7, Resulting Numbers: [45, 7]
Generated Node #3: [45, 7] from Operation: 56/8=7
Current State: 38:[45, 7], Operations: ['80-35=45', '56/8=7']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
2,
52,
5,
98
] | 38 | [
"2+5=7",
"98/7=14",
"52-14=38"
] | Current State: 38:[2, 52, 5, 98], Operations: []
Exploring Operation: 2+5=7, Resulting Numbers: [52, 98, 7]
Generated Node #2: [52, 98, 7] from Operation: 2+5=7
Current State: 38:[52, 98, 7], Operations: ['2+5=7']
Exploring Operation: 98/7=14, Resulting Numbers: [52, 14]
Generated Node #3: [52, 14] from Operation: 98/7=14
Current State: 38:[52, 14], Operations: ['2+5=7', '98/7=14']
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
1,
27,
50,
47
] | 80 | [
"50-47=3",
"27*3=81",
"81-1=80"
] | Current State: 80:[1, 27, 50, 47], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [1, 27, 3]
Generated Node #2: [1, 27, 3] from Operation: 50-47=3
Current State: 80:[1, 27, 3], Operations: ['50-47=3']
Exploring Operation: 27*3=81, Resulting Numbers: [1, 81]
Generated Node #3: [1, 81] from Operation: 27*3=81
Current State: 80:[1, 81], Operations: ['50-47=3', '27*3=81']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
1,
40,
24,
72
] | 87 | [
"40-1=39",
"72-24=48",
"39+48=87"
] | Current State: 87:[1, 40, 24, 72], Operations: []
Exploring Operation: 40-1=39, Resulting Numbers: [24, 72, 39]
Generated Node #2: [24, 72, 39] from Operation: 40-1=39
Current State: 87:[24, 72, 39], Operations: ['40-1=39']
Exploring Operation: 72-24=48, Resulting Numbers: [39, 48]
Generated Node #3: [39, 48] from Operation: 72-24=48
Current State: 87:[39, 48], Operations: ['40-1=39', '72-24=48']
Exploring Operation: 39+48=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
51,
12,
10,
6
] | 90 | [
"51-6=45",
"12-10=2",
"45*2=90"
] | Current State: 90:[51, 12, 10, 6], Operations: []
Exploring Operation: 51-6=45, Resulting Numbers: [12, 10, 45]
Generated Node #2: [12, 10, 45] from Operation: 51-6=45
Current State: 90:[12, 10, 45], Operations: ['51-6=45']
Exploring Operation: 12-10=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 12-10=2
Current State: 90:[45, 2], Operations: ['51-6=45', '12-10=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
24,
25,
10,
33
] | 44 | [
"25-24=1",
"10+33=43",
"1+43=44"
] | Current State: 44:[24, 25, 10, 33], Operations: []
Exploring Operation: 25-24=1, Resulting Numbers: [10, 33, 1]
Generated Node #2: [10, 33, 1] from Operation: 25-24=1
Current State: 44:[10, 33, 1], Operations: ['25-24=1']
Exploring Operation: 10+33=43, Resulting Numbers: [1, 43]
Generated Node #3: [1, 43] from Operation: 10+33=43
Current State: 44:[1, 43], Operations: ['25-24=1', '10+33=43']
Exploring Operation: 1+43=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
89,
3,
8,
53
] | 25 | [
"89-3=86",
"8+53=61",
"86-61=25"
] | Current State: 25:[89, 3, 8, 53], Operations: []
Exploring Operation: 89-3=86, Resulting Numbers: [8, 53, 86]
Generated Node #2: [8, 53, 86] from Operation: 89-3=86
Current State: 25:[8, 53, 86], Operations: ['89-3=86']
Exploring Operation: 8+53=61, Resulting Numbers: [86, 61]
Generated Node #3: [86, 61] from Operation: 8+53=61
Current State: 25:[86, 61], Operations: ['89-3=86', '8+53=61']
Exploring Operation: 86-61=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
78,
28,
27,
14
] | 91 | [
"78-28=50",
"27+14=41",
"50+41=91"
] | Current State: 91:[78, 28, 27, 14], Operations: []
Exploring Operation: 78-28=50, Resulting Numbers: [27, 14, 50]
Generated Node #2: [27, 14, 50] from Operation: 78-28=50
Current State: 91:[27, 14, 50], Operations: ['78-28=50']
Exploring Operation: 27+14=41, Resulting Numbers: [50, 41]
Generated Node #3: [50, 41] from Operation: 27+14=41
Current State: 91:[50, 41], Operations: ['78-28=50', '27+14=41']
Exploring Operation: 50+41=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
28,
41,
39,
15
] | 37 | [
"41-28=13",
"39-15=24",
"13+24=37"
] | Current State: 37:[28, 41, 39, 15], Operations: []
Exploring Operation: 41-28=13, Resulting Numbers: [39, 15, 13]
Generated Node #2: [39, 15, 13] from Operation: 41-28=13
Current State: 37:[39, 15, 13], Operations: ['41-28=13']
Exploring Operation: 39-15=24, Resulting Numbers: [13, 24]
Generated Node #3: [13, 24] from Operation: 39-15=24
Current State: 37:[13, 24], Operations: ['41-28=13', '39-15=24']
Exploring Operation: 13+24=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
14,
48,
39,
25
] | 47 | [
"39-14=25",
"25/25=1",
"48-1=47"
] | Current State: 47:[14, 48, 39, 25], Operations: []
Exploring Operation: 39-14=25, Resulting Numbers: [48, 25, 25]
Generated Node #2: [48, 25, 25] from Operation: 39-14=25
Current State: 47:[48, 25, 25], Operations: ['39-14=25']
Exploring Operation: 25/25=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 25/25=1
Current State: 47:[48, 1], Operations: ['39-14=25', '25/25=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
34,
82,
50,
62
] | 57 | [
"34*82=2788",
"62+2788=2850",
"2850/50=57"
] | Current State: 57:[34, 82, 50, 62], Operations: []
Exploring Operation: 34*82=2788, Resulting Numbers: [50, 62, 2788]
Generated Node #2: [50, 62, 2788] from Operation: 34*82=2788
Current State: 57:[50, 62, 2788], Operations: ['34*82=2788']
Exploring Operation: 62+2788=2850, Resulting Numbers: [50, 2850]
Generated Node #3: [50, 2850] from Operation: 62+2788=2850
Current State: 57:[50, 2850], Operations: ['34*82=2788', '62+2788=2850']
Exploring Operation: 2850/50=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
8,
42,
91,
10
] | 53 | [
"8*10=80",
"42+91=133",
"133-80=53"
] | Current State: 53:[8, 42, 91, 10], Operations: []
Exploring Operation: 8*10=80, Resulting Numbers: [42, 91, 80]
Generated Node #2: [42, 91, 80] from Operation: 8*10=80
Current State: 53:[42, 91, 80], Operations: ['8*10=80']
Exploring Operation: 42+91=133, Resulting Numbers: [80, 133]
Generated Node #3: [80, 133] from Operation: 42+91=133
Current State: 53:[80, 133], Operations: ['8*10=80', '42+91=133']
Exploring Operation: 133-80=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
50,
32,
10,
20
] | 28 | [
"50-32=18",
"20-10=10",
"18+10=28"
] | Current State: 28:[50, 32, 10, 20], Operations: []
Exploring Operation: 50-32=18, Resulting Numbers: [10, 20, 18]
Generated Node #2: [10, 20, 18] from Operation: 50-32=18
Current State: 28:[10, 20, 18], Operations: ['50-32=18']
Exploring Operation: 20-10=10, Resulting Numbers: [18, 10]
Generated Node #3: [18, 10] from Operation: 20-10=10
Current State: 28:[18, 10], Operations: ['50-32=18', '20-10=10']
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
83,
55,
2,
59
] | 89 | [
"83-55=28",
"2+59=61",
"28+61=89"
] | Current State: 89:[83, 55, 2, 59], Operations: []
Exploring Operation: 83-55=28, Resulting Numbers: [2, 59, 28]
Generated Node #2: [2, 59, 28] from Operation: 83-55=28
Current State: 89:[2, 59, 28], Operations: ['83-55=28']
Exploring Operation: 2+59=61, Resulting Numbers: [28, 61]
Generated Node #3: [28, 61] from Operation: 2+59=61
Current State: 89:[28, 61], Operations: ['83-55=28', '2+59=61']
Exploring Operation: 28+61=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
32,
28,
26,
78
] | 90 | [
"32-26=6",
"28*6=168",
"168-78=90"
] | Current State: 90:[32, 28, 26, 78], Operations: []
Exploring Operation: 32-26=6, Resulting Numbers: [28, 78, 6]
Generated Node #2: [28, 78, 6] from Operation: 32-26=6
Current State: 90:[28, 78, 6], Operations: ['32-26=6']
Exploring Operation: 28*6=168, Resulting Numbers: [78, 168]
Generated Node #3: [78, 168] from Operation: 28*6=168
Current State: 90:[78, 168], Operations: ['32-26=6', '28*6=168']
Exploring Operation: 168-78=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
71,
7,
30,
4
] | 38 | [
"71-7=64",
"30-4=26",
"64-26=38"
] | Current State: 38:[71, 7, 30, 4], Operations: []
Exploring Operation: 71-7=64, Resulting Numbers: [30, 4, 64]
Generated Node #2: [30, 4, 64] from Operation: 71-7=64
Current State: 38:[30, 4, 64], Operations: ['71-7=64']
Exploring Operation: 30-4=26, Resulting Numbers: [64, 26]
Generated Node #3: [64, 26] from Operation: 30-4=26
Current State: 38:[64, 26], Operations: ['71-7=64', '30-4=26']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
86,
87,
89,
57
] | 48 | [
"89-86=3",
"87+57=144",
"144/3=48"
] | Current State: 48:[86, 87, 89, 57], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [87, 57, 3]
Generated Node #2: [87, 57, 3] from Operation: 89-86=3
Current State: 48:[87, 57, 3], Operations: ['89-86=3']
Exploring Operation: 87+57=144, Resulting Numbers: [3, 144]
Generated Node #3: [3, 144] from Operation: 87+57=144
Current State: 48:[3, 144], Operations: ['89-86=3', '87+57=144']
Exploring Operation: 144/3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
95,
4,
6,
22
] | 41 | [
"95-4=91",
"6*22=132",
"132-91=41"
] | Current State: 41:[95, 4, 6, 22], Operations: []
Exploring Operation: 95-4=91, Resulting Numbers: [6, 22, 91]
Generated Node #2: [6, 22, 91] from Operation: 95-4=91
Current State: 41:[6, 22, 91], Operations: ['95-4=91']
Exploring Operation: 6*22=132, Resulting Numbers: [91, 132]
Generated Node #3: [91, 132] from Operation: 6*22=132
Current State: 41:[91, 132], Operations: ['95-4=91', '6*22=132']
Exploring Operation: 132-91=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
24,
35,
66,
26
] | 20 | [
"35-24=11",
"66/11=6",
"26-6=20"
] | Current State: 20:[24, 35, 66, 26], Operations: []
Exploring Operation: 35-24=11, Resulting Numbers: [66, 26, 11]
Generated Node #2: [66, 26, 11] from Operation: 35-24=11
Current State: 20:[66, 26, 11], Operations: ['35-24=11']
Exploring Operation: 66/11=6, Resulting Numbers: [26, 6]
Generated Node #3: [26, 6] from Operation: 66/11=6
Current State: 20:[26, 6], Operations: ['35-24=11', '66/11=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
88,
72,
21,
32
] | 80 | [
"32-21=11",
"88/11=8",
"72+8=80"
] | Current State: 80:[88, 72, 21, 32], Operations: []
Exploring Operation: 32-21=11, Resulting Numbers: [88, 72, 11]
Generated Node #2: [88, 72, 11] from Operation: 32-21=11
Current State: 80:[88, 72, 11], Operations: ['32-21=11']
Exploring Operation: 88/11=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 88/11=8
Current State: 80:[72, 8], Operations: ['32-21=11', '88/11=8']
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
14,
66,
1,
4
] | 14 | [
"66-14=52",
"52/4=13",
"1+13=14"
] | Current State: 14:[14, 66, 1, 4], Operations: []
Exploring Operation: 66-14=52, Resulting Numbers: [1, 4, 52]
Generated Node #2: [1, 4, 52] from Operation: 66-14=52
Current State: 14:[1, 4, 52], Operations: ['66-14=52']
Exploring Operation: 52/4=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 52/4=13
Current State: 14:[1, 13], Operations: ['66-14=52', '52/4=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
92,
43,
76,
20
] | 72 | [
"43-20=23",
"92/23=4",
"76-4=72"
] | Current State: 72:[92, 43, 76, 20], Operations: []
Exploring Operation: 43-20=23, Resulting Numbers: [92, 76, 23]
Generated Node #2: [92, 76, 23] from Operation: 43-20=23
Current State: 72:[92, 76, 23], Operations: ['43-20=23']
Exploring Operation: 92/23=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 92/23=4
Current State: 72:[76, 4], Operations: ['43-20=23', '92/23=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
28,
15,
11,
65
] | 11 | [
"28+15=43",
"65-11=54",
"54-43=11"
] | Current State: 11:[28, 15, 11, 65], Operations: []
Exploring Operation: 28+15=43, Resulting Numbers: [11, 65, 43]
Generated Node #2: [11, 65, 43] from Operation: 28+15=43
Current State: 11:[11, 65, 43], Operations: ['28+15=43']
Exploring Operation: 65-11=54, Resulting Numbers: [43, 54]
Generated Node #3: [43, 54] from Operation: 65-11=54
Current State: 11:[43, 54], Operations: ['28+15=43', '65-11=54']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
33,
69,
87,
23
] | 12 | [
"33*69=2277",
"2277/23=99",
"99-87=12"
] | Current State: 12:[33, 69, 87, 23], Operations: []
Exploring Operation: 33*69=2277, Resulting Numbers: [87, 23, 2277]
Generated Node #2: [87, 23, 2277] from Operation: 33*69=2277
Current State: 12:[87, 23, 2277], Operations: ['33*69=2277']
Exploring Operation: 2277/23=99, Resulting Numbers: [87, 99]
Generated Node #3: [87, 99] from Operation: 2277/23=99
Current State: 12:[87, 99], Operations: ['33*69=2277', '2277/23=99']
Exploring Operation: 99-87=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
32,
68,
79,
18
] | 39 | [
"32+68=100",
"79-18=61",
"100-61=39"
] | Current State: 39:[32, 68, 79, 18], Operations: []
Exploring Operation: 32+68=100, Resulting Numbers: [79, 18, 100]
Generated Node #2: [79, 18, 100] from Operation: 32+68=100
Current State: 39:[79, 18, 100], Operations: ['32+68=100']
Exploring Operation: 79-18=61, Resulting Numbers: [100, 61]
Generated Node #3: [100, 61] from Operation: 79-18=61
Current State: 39:[100, 61], Operations: ['32+68=100', '79-18=61']
Exploring Operation: 100-61=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
6,
2,
27,
61
] | 62 | [
"61-27=34",
"2*34=68",
"68-6=62"
] | Current State: 62:[6, 2, 27, 61], Operations: []
Exploring Operation: 61-27=34, Resulting Numbers: [6, 2, 34]
Generated Node #2: [6, 2, 34] from Operation: 61-27=34
Current State: 62:[6, 2, 34], Operations: ['61-27=34']
Exploring Operation: 2*34=68, Resulting Numbers: [6, 68]
Generated Node #3: [6, 68] from Operation: 2*34=68
Current State: 62:[6, 68], Operations: ['61-27=34', '2*34=68']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
23,
20,
1,
22
] | 64 | [
"23+20=43",
"22-1=21",
"43+21=64"
] | Current State: 64:[23, 20, 1, 22], Operations: []
Exploring Operation: 23+20=43, Resulting Numbers: [1, 22, 43]
Generated Node #2: [1, 22, 43] from Operation: 23+20=43
Current State: 64:[1, 22, 43], Operations: ['23+20=43']
Exploring Operation: 22-1=21, Resulting Numbers: [43, 21]
Generated Node #3: [43, 21] from Operation: 22-1=21
Current State: 64:[43, 21], Operations: ['23+20=43', '22-1=21']
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
29,
23,
45,
42
] | 93 | [
"29-23=6",
"45+42=87",
"6+87=93"
] | Current State: 93:[29, 23, 45, 42], Operations: []
Exploring Operation: 29-23=6, Resulting Numbers: [45, 42, 6]
Generated Node #2: [45, 42, 6] from Operation: 29-23=6
Current State: 93:[45, 42, 6], Operations: ['29-23=6']
Exploring Operation: 45+42=87, Resulting Numbers: [6, 87]
Generated Node #3: [6, 87] from Operation: 45+42=87
Current State: 93:[6, 87], Operations: ['29-23=6', '45+42=87']
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
20,
55,
12,
45
] | 22 | [
"55-20=35",
"12+45=57",
"57-35=22"
] | Current State: 22:[20, 55, 12, 45], Operations: []
Exploring Operation: 55-20=35, Resulting Numbers: [12, 45, 35]
Generated Node #2: [12, 45, 35] from Operation: 55-20=35
Current State: 22:[12, 45, 35], Operations: ['55-20=35']
Exploring Operation: 12+45=57, Resulting Numbers: [35, 57]
Generated Node #3: [35, 57] from Operation: 12+45=57
Current State: 22:[35, 57], Operations: ['55-20=35', '12+45=57']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
52,
63,
20,
4
] | 81 | [
"52+20=72",
"72/4=18",
"63+18=81"
] | Current State: 81:[52, 63, 20, 4], Operations: []
Exploring Operation: 52+20=72, Resulting Numbers: [63, 4, 72]
Generated Node #2: [63, 4, 72] from Operation: 52+20=72
Current State: 81:[63, 4, 72], Operations: ['52+20=72']
Exploring Operation: 72/4=18, Resulting Numbers: [63, 18]
Generated Node #3: [63, 18] from Operation: 72/4=18
Current State: 81:[63, 18], Operations: ['52+20=72', '72/4=18']
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.