Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 47, 88, 17, 5 ]
44
[ "47+88=135", "135/5=27", "17+27=44" ]
Current State: 44:[47, 88, 17, 5], Operations: [] Exploring Operation: 47+88=135, Resulting Numbers: [17, 5, 135] Generated Node #2: [17, 5, 135] from Operation: 47+88=135 Current State: 44:[17, 5, 135], Operations: ['47+88=135'] Exploring Operation: 135/5=27, Resulting Numbers: [17, 27] Generated Node #3: [17, 27] from Operation: 135/5=27 Current State: 44:[17, 27], Operations: ['47+88=135', '135/5=27'] Exploring Operation: 17+27=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 9, 18, 68 ]
41
[ "2*18=36", "9+68=77", "77-36=41" ]
Current State: 41:[2, 9, 18, 68], Operations: [] Exploring Operation: 2*18=36, Resulting Numbers: [9, 68, 36] Generated Node #2: [9, 68, 36] from Operation: 2*18=36 Current State: 41:[9, 68, 36], Operations: ['2*18=36'] Exploring Operation: 9+68=77, Resulting Numbers: [36, 77] Generated Node #3: [36, 77] from Operation: 9+68=77 Current State: 41:[36, 77], Operations: ['2*18=36', '9+68=77'] Exploring Operation: 77-36=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 11, 93, 89, 74 ]
72
[ "89-74=15", "11*15=165", "165-93=72" ]
Current State: 72:[11, 93, 89, 74], Operations: [] Exploring Operation: 89-74=15, Resulting Numbers: [11, 93, 15] Generated Node #2: [11, 93, 15] from Operation: 89-74=15 Current State: 72:[11, 93, 15], Operations: ['89-74=15'] Exploring Operation: 11*15=165, Resulting Numbers: [93, 165] Generated Node #3: [93, 165] from Operation: 11*15=165 Current State: 72:[93, 165], Operations: ['89-74=15', '11*15=165'] Exploring Operation: 165-93=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 41, 32, 72, 25 ]
24
[ "41+32=73", "72+25=97", "97-73=24" ]
Current State: 24:[41, 32, 72, 25], Operations: [] Exploring Operation: 41+32=73, Resulting Numbers: [72, 25, 73] Generated Node #2: [72, 25, 73] from Operation: 41+32=73 Current State: 24:[72, 25, 73], Operations: ['41+32=73'] Exploring Operation: 72+25=97, Resulting Numbers: [73, 97] Generated Node #3: [73, 97] from Operation: 72+25=97 Current State: 24:[73, 97], Operations: ['41+32=73', '72+25=97'] Exploring Operation: 97-73=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 87, 48, 20, 72 ]
57
[ "20*72=1440", "1440/48=30", "87-30=57" ]
Current State: 57:[87, 48, 20, 72], Operations: [] Exploring Operation: 20*72=1440, Resulting Numbers: [87, 48, 1440] Generated Node #2: [87, 48, 1440] from Operation: 20*72=1440 Current State: 57:[87, 48, 1440], Operations: ['20*72=1440'] Exploring Operation: 1440/48=30, Resulting Numbers: [87, 30] Generated Node #3: [87, 30] from Operation: 1440/48=30 Current State: 57:[87, 30], Operations: ['20*72=1440', '1440/48=30'] Exploring Operation: 87-30=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 13, 81, 33, 10 ]
45
[ "81-13=68", "33-10=23", "68-23=45" ]
Current State: 45:[13, 81, 33, 10], Operations: [] Exploring Operation: 81-13=68, Resulting Numbers: [33, 10, 68] Generated Node #2: [33, 10, 68] from Operation: 81-13=68 Current State: 45:[33, 10, 68], Operations: ['81-13=68'] Exploring Operation: 33-10=23, Resulting Numbers: [68, 23] Generated Node #3: [68, 23] from Operation: 33-10=23 Current State: 45:[68, 23], Operations: ['81-13=68', '33-10=23'] Exploring Operation: 68-23=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 13, 54, 70, 14 ]
43
[ "54-13=41", "70+14=84", "84-41=43" ]
Current State: 43:[13, 54, 70, 14], Operations: [] Exploring Operation: 54-13=41, Resulting Numbers: [70, 14, 41] Generated Node #2: [70, 14, 41] from Operation: 54-13=41 Current State: 43:[70, 14, 41], Operations: ['54-13=41'] Exploring Operation: 70+14=84, Resulting Numbers: [41, 84] Generated Node #3: [41, 84] from Operation: 70+14=84 Current State: 43:[41, 84], Operations: ['54-13=41', '70+14=84'] Exploring Operation: 84-41=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 24, 1, 8, 72 ]
68
[ "24/8=3", "72-1=71", "71-3=68" ]
Current State: 68:[24, 1, 8, 72], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [1, 72, 3] Generated Node #2: [1, 72, 3] from Operation: 24/8=3 Current State: 68:[1, 72, 3], Operations: ['24/8=3'] Exploring Operation: 72-1=71, Resulting Numbers: [3, 71] Generated Node #3: [3, 71] from Operation: 72-1=71 Current State: 68:[3, 71], Operations: ['24/8=3', '72-1=71'] Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 71, 1, 78 ]
33
[ "71-25=46", "1+78=79", "79-46=33" ]
Current State: 33:[25, 71, 1, 78], Operations: [] Exploring Operation: 71-25=46, Resulting Numbers: [1, 78, 46] Generated Node #2: [1, 78, 46] from Operation: 71-25=46 Current State: 33:[1, 78, 46], Operations: ['71-25=46'] Exploring Operation: 1+78=79, Resulting Numbers: [46, 79] Generated Node #3: [46, 79] from Operation: 1+78=79 Current State: 33:[46, 79], Operations: ['71-25=46', '1+78=79'] Exploring Operation: 79-46=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 27, 90, 4 ]
99
[ "3+4=7", "27*7=189", "189-90=99" ]
Current State: 99:[3, 27, 90, 4], Operations: [] Exploring Operation: 3+4=7, Resulting Numbers: [27, 90, 7] Generated Node #2: [27, 90, 7] from Operation: 3+4=7 Current State: 99:[27, 90, 7], Operations: ['3+4=7'] Exploring Operation: 27*7=189, Resulting Numbers: [90, 189] Generated Node #3: [90, 189] from Operation: 27*7=189 Current State: 99:[90, 189], Operations: ['3+4=7', '27*7=189'] Exploring Operation: 189-90=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 39, 92, 10, 8 ]
22
[ "39*8=312", "312-92=220", "220/10=22" ]
Current State: 22:[39, 92, 10, 8], Operations: [] Exploring Operation: 39*8=312, Resulting Numbers: [92, 10, 312] Generated Node #2: [92, 10, 312] from Operation: 39*8=312 Current State: 22:[92, 10, 312], Operations: ['39*8=312'] Exploring Operation: 312-92=220, Resulting Numbers: [10, 220] Generated Node #3: [10, 220] from Operation: 312-92=220 Current State: 22:[10, 220], Operations: ['39*8=312', '312-92=220'] Exploring Operation: 220/10=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 34, 10, 58, 11 ]
71
[ "34-10=24", "58-11=47", "24+47=71" ]
Current State: 71:[34, 10, 58, 11], Operations: [] Exploring Operation: 34-10=24, Resulting Numbers: [58, 11, 24] Generated Node #2: [58, 11, 24] from Operation: 34-10=24 Current State: 71:[58, 11, 24], Operations: ['34-10=24'] Exploring Operation: 58-11=47, Resulting Numbers: [24, 47] Generated Node #3: [24, 47] from Operation: 58-11=47 Current State: 71:[24, 47], Operations: ['34-10=24', '58-11=47'] Exploring Operation: 24+47=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 82, 29, 53, 75 ]
74
[ "82-29=53", "53/53=1", "75-1=74" ]
Current State: 74:[82, 29, 53, 75], Operations: [] Exploring Operation: 82-29=53, Resulting Numbers: [53, 75, 53] Generated Node #2: [53, 75, 53] from Operation: 82-29=53 Current State: 74:[53, 75, 53], Operations: ['82-29=53'] Exploring Operation: 53/53=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 53/53=1 Current State: 74:[75, 1], Operations: ['82-29=53', '53/53=1'] Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 30, 79, 15, 32 ]
47
[ "32-30=2", "79+15=94", "94/2=47" ]
Current State: 47:[30, 79, 15, 32], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [79, 15, 2] Generated Node #2: [79, 15, 2] from Operation: 32-30=2 Current State: 47:[79, 15, 2], Operations: ['32-30=2'] Exploring Operation: 79+15=94, Resulting Numbers: [2, 94] Generated Node #3: [2, 94] from Operation: 79+15=94 Current State: 47:[2, 94], Operations: ['32-30=2', '79+15=94'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 99, 10, 69, 2 ]
80
[ "99+10=109", "109-69=40", "2*40=80" ]
Current State: 80:[99, 10, 69, 2], Operations: [] Exploring Operation: 99+10=109, Resulting Numbers: [69, 2, 109] Generated Node #2: [69, 2, 109] from Operation: 99+10=109 Current State: 80:[69, 2, 109], Operations: ['99+10=109'] Exploring Operation: 109-69=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 109-69=40 Current State: 80:[2, 40], Operations: ['99+10=109', '109-69=40'] Exploring Operation: 2*40=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 16, 85, 94, 17 ]
14
[ "16*85=1360", "1360/17=80", "94-80=14" ]
Current State: 14:[16, 85, 94, 17], Operations: [] Exploring Operation: 16*85=1360, Resulting Numbers: [94, 17, 1360] Generated Node #2: [94, 17, 1360] from Operation: 16*85=1360 Current State: 14:[94, 17, 1360], Operations: ['16*85=1360'] Exploring Operation: 1360/17=80, Resulting Numbers: [94, 80] Generated Node #3: [94, 80] from Operation: 1360/17=80 Current State: 14:[94, 80], Operations: ['16*85=1360', '1360/17=80'] Exploring Operation: 94-80=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 47, 64, 32, 16 ]
43
[ "32-16=16", "64/16=4", "47-4=43" ]
Current State: 43:[47, 64, 32, 16], Operations: [] Exploring Operation: 32-16=16, Resulting Numbers: [47, 64, 16] Generated Node #2: [47, 64, 16] from Operation: 32-16=16 Current State: 43:[47, 64, 16], Operations: ['32-16=16'] Exploring Operation: 64/16=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 64/16=4 Current State: 43:[47, 4], Operations: ['32-16=16', '64/16=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 61, 71, 65, 20 ]
66
[ "65-61=4", "20/4=5", "71-5=66" ]
Current State: 66:[61, 71, 65, 20], Operations: [] Exploring Operation: 65-61=4, Resulting Numbers: [71, 20, 4] Generated Node #2: [71, 20, 4] from Operation: 65-61=4 Current State: 66:[71, 20, 4], Operations: ['65-61=4'] Exploring Operation: 20/4=5, Resulting Numbers: [71, 5] Generated Node #3: [71, 5] from Operation: 20/4=5 Current State: 66:[71, 5], Operations: ['65-61=4', '20/4=5'] Exploring Operation: 71-5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 32, 48, 59, 43 ]
64
[ "32+48=80", "59-43=16", "80-16=64" ]
Current State: 64:[32, 48, 59, 43], Operations: [] Exploring Operation: 32+48=80, Resulting Numbers: [59, 43, 80] Generated Node #2: [59, 43, 80] from Operation: 32+48=80 Current State: 64:[59, 43, 80], Operations: ['32+48=80'] Exploring Operation: 59-43=16, Resulting Numbers: [80, 16] Generated Node #3: [80, 16] from Operation: 59-43=16 Current State: 64:[80, 16], Operations: ['32+48=80', '59-43=16'] Exploring Operation: 80-16=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 2, 32, 8, 7 ]
43
[ "8/2=4", "32+7=39", "4+39=43" ]
Current State: 43:[2, 32, 8, 7], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [32, 7, 4] Generated Node #2: [32, 7, 4] from Operation: 8/2=4 Current State: 43:[32, 7, 4], Operations: ['8/2=4'] Exploring Operation: 32+7=39, Resulting Numbers: [4, 39] Generated Node #3: [4, 39] from Operation: 32+7=39 Current State: 43:[4, 39], Operations: ['8/2=4', '32+7=39'] Exploring Operation: 4+39=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 33, 96, 37, 31 ]
28
[ "37-33=4", "31*4=124", "124-96=28" ]
Current State: 28:[33, 96, 37, 31], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [96, 31, 4] Generated Node #2: [96, 31, 4] from Operation: 37-33=4 Current State: 28:[96, 31, 4], Operations: ['37-33=4'] Exploring Operation: 31*4=124, Resulting Numbers: [96, 124] Generated Node #3: [96, 124] from Operation: 31*4=124 Current State: 28:[96, 124], Operations: ['37-33=4', '31*4=124'] Exploring Operation: 124-96=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 79, 30, 96, 10 ]
20
[ "96-79=17", "30/10=3", "17+3=20" ]
Current State: 20:[79, 30, 96, 10], Operations: [] Exploring Operation: 96-79=17, Resulting Numbers: [30, 10, 17] Generated Node #2: [30, 10, 17] from Operation: 96-79=17 Current State: 20:[30, 10, 17], Operations: ['96-79=17'] Exploring Operation: 30/10=3, Resulting Numbers: [17, 3] Generated Node #3: [17, 3] from Operation: 30/10=3 Current State: 20:[17, 3], Operations: ['96-79=17', '30/10=3'] Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 36, 17, 55, 38 ]
21
[ "38-36=2", "17*2=34", "55-34=21" ]
Current State: 21:[36, 17, 55, 38], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [17, 55, 2] Generated Node #2: [17, 55, 2] from Operation: 38-36=2 Current State: 21:[17, 55, 2], Operations: ['38-36=2'] Exploring Operation: 17*2=34, Resulting Numbers: [55, 34] Generated Node #3: [55, 34] from Operation: 17*2=34 Current State: 21:[55, 34], Operations: ['38-36=2', '17*2=34'] Exploring Operation: 55-34=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 20, 5, 42, 26 ]
83
[ "20-5=15", "42+26=68", "15+68=83" ]
Current State: 83:[20, 5, 42, 26], Operations: [] Exploring Operation: 20-5=15, Resulting Numbers: [42, 26, 15] Generated Node #2: [42, 26, 15] from Operation: 20-5=15 Current State: 83:[42, 26, 15], Operations: ['20-5=15'] Exploring Operation: 42+26=68, Resulting Numbers: [15, 68] Generated Node #3: [15, 68] from Operation: 42+26=68 Current State: 83:[15, 68], Operations: ['20-5=15', '42+26=68'] Exploring Operation: 15+68=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 3, 2, 89, 77 ]
98
[ "3+77=80", "2*89=178", "178-80=98" ]
Current State: 98:[3, 2, 89, 77], Operations: [] Exploring Operation: 3+77=80, Resulting Numbers: [2, 89, 80] Generated Node #2: [2, 89, 80] from Operation: 3+77=80 Current State: 98:[2, 89, 80], Operations: ['3+77=80'] Exploring Operation: 2*89=178, Resulting Numbers: [80, 178] Generated Node #3: [80, 178] from Operation: 2*89=178 Current State: 98:[80, 178], Operations: ['3+77=80', '2*89=178'] Exploring Operation: 178-80=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 50, 76, 16, 9 ]
30
[ "50+76=126", "126/9=14", "16+14=30" ]
Current State: 30:[50, 76, 16, 9], Operations: [] Exploring Operation: 50+76=126, Resulting Numbers: [16, 9, 126] Generated Node #2: [16, 9, 126] from Operation: 50+76=126 Current State: 30:[16, 9, 126], Operations: ['50+76=126'] Exploring Operation: 126/9=14, Resulting Numbers: [16, 14] Generated Node #3: [16, 14] from Operation: 126/9=14 Current State: 30:[16, 14], Operations: ['50+76=126', '126/9=14'] Exploring Operation: 16+14=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 68, 84, 99, 21 ]
35
[ "99-68=31", "84/21=4", "31+4=35" ]
Current State: 35:[68, 84, 99, 21], Operations: [] Exploring Operation: 99-68=31, Resulting Numbers: [84, 21, 31] Generated Node #2: [84, 21, 31] from Operation: 99-68=31 Current State: 35:[84, 21, 31], Operations: ['99-68=31'] Exploring Operation: 84/21=4, Resulting Numbers: [31, 4] Generated Node #3: [31, 4] from Operation: 84/21=4 Current State: 35:[31, 4], Operations: ['99-68=31', '84/21=4'] Exploring Operation: 31+4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 48, 95, 61, 50 ]
17
[ "50-48=2", "95-61=34", "34/2=17" ]
Current State: 17:[48, 95, 61, 50], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [95, 61, 2] Generated Node #2: [95, 61, 2] from Operation: 50-48=2 Current State: 17:[95, 61, 2], Operations: ['50-48=2'] Exploring Operation: 95-61=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 95-61=34 Current State: 17:[2, 34], Operations: ['50-48=2', '95-61=34'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 6, 96, 41, 4 ]
37
[ "96/6=16", "16/4=4", "41-4=37" ]
Current State: 37:[6, 96, 41, 4], Operations: [] Exploring Operation: 96/6=16, Resulting Numbers: [41, 4, 16] Generated Node #2: [41, 4, 16] from Operation: 96/6=16 Current State: 37:[41, 4, 16], Operations: ['96/6=16'] Exploring Operation: 16/4=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 16/4=4 Current State: 37:[41, 4], Operations: ['96/6=16', '16/4=4'] Exploring Operation: 41-4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 57, 44, 89, 8 ]
40
[ "89-57=32", "32/8=4", "44-4=40" ]
Current State: 40:[57, 44, 89, 8], Operations: [] Exploring Operation: 89-57=32, Resulting Numbers: [44, 8, 32] Generated Node #2: [44, 8, 32] from Operation: 89-57=32 Current State: 40:[44, 8, 32], Operations: ['89-57=32'] Exploring Operation: 32/8=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 32/8=4 Current State: 40:[44, 4], Operations: ['89-57=32', '32/8=4'] Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 2, 75, 26, 27 ]
11
[ "75-26=49", "49-27=22", "22/2=11" ]
Current State: 11:[2, 75, 26, 27], Operations: [] Exploring Operation: 75-26=49, Resulting Numbers: [2, 27, 49] Generated Node #2: [2, 27, 49] from Operation: 75-26=49 Current State: 11:[2, 27, 49], Operations: ['75-26=49'] Exploring Operation: 49-27=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 49-27=22 Current State: 11:[2, 22], Operations: ['75-26=49', '49-27=22'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 67, 96, 87, 10 ]
98
[ "87-67=20", "20/10=2", "96+2=98" ]
Current State: 98:[67, 96, 87, 10], Operations: [] Exploring Operation: 87-67=20, Resulting Numbers: [96, 10, 20] Generated Node #2: [96, 10, 20] from Operation: 87-67=20 Current State: 98:[96, 10, 20], Operations: ['87-67=20'] Exploring Operation: 20/10=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 20/10=2 Current State: 98:[96, 2], Operations: ['87-67=20', '20/10=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 94, 92, 7, 54 ]
45
[ "94-92=2", "54-7=47", "47-2=45" ]
Current State: 45:[94, 92, 7, 54], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [7, 54, 2] Generated Node #2: [7, 54, 2] from Operation: 94-92=2 Current State: 45:[7, 54, 2], Operations: ['94-92=2'] Exploring Operation: 54-7=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 54-7=47 Current State: 45:[2, 47], Operations: ['94-92=2', '54-7=47'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 4, 52, 80, 88 ]
81
[ "80-52=28", "28/4=7", "88-7=81" ]
Current State: 81:[4, 52, 80, 88], Operations: [] Exploring Operation: 80-52=28, Resulting Numbers: [4, 88, 28] Generated Node #2: [4, 88, 28] from Operation: 80-52=28 Current State: 81:[4, 88, 28], Operations: ['80-52=28'] Exploring Operation: 28/4=7, Resulting Numbers: [88, 7] Generated Node #3: [88, 7] from Operation: 28/4=7 Current State: 81:[88, 7], Operations: ['80-52=28', '28/4=7'] Exploring Operation: 88-7=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 52, 29, 27, 8 ]
68
[ "29-27=2", "8*2=16", "52+16=68" ]
Current State: 68:[52, 29, 27, 8], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [52, 8, 2] Generated Node #2: [52, 8, 2] from Operation: 29-27=2 Current State: 68:[52, 8, 2], Operations: ['29-27=2'] Exploring Operation: 8*2=16, Resulting Numbers: [52, 16] Generated Node #3: [52, 16] from Operation: 8*2=16 Current State: 68:[52, 16], Operations: ['29-27=2', '8*2=16'] Exploring Operation: 52+16=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 54, 8, 44, 36 ]
56
[ "54*8=432", "432/36=12", "44+12=56" ]
Current State: 56:[54, 8, 44, 36], Operations: [] Exploring Operation: 54*8=432, Resulting Numbers: [44, 36, 432] Generated Node #2: [44, 36, 432] from Operation: 54*8=432 Current State: 56:[44, 36, 432], Operations: ['54*8=432'] Exploring Operation: 432/36=12, Resulting Numbers: [44, 12] Generated Node #3: [44, 12] from Operation: 432/36=12 Current State: 56:[44, 12], Operations: ['54*8=432', '432/36=12'] Exploring Operation: 44+12=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 46, 11, 5, 57 ]
97
[ "46-11=35", "5+57=62", "35+62=97" ]
Current State: 97:[46, 11, 5, 57], Operations: [] Exploring Operation: 46-11=35, Resulting Numbers: [5, 57, 35] Generated Node #2: [5, 57, 35] from Operation: 46-11=35 Current State: 97:[5, 57, 35], Operations: ['46-11=35'] Exploring Operation: 5+57=62, Resulting Numbers: [35, 62] Generated Node #3: [35, 62] from Operation: 5+57=62 Current State: 97:[35, 62], Operations: ['46-11=35', '5+57=62'] Exploring Operation: 35+62=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 43, 9, 78, 27 ]
32
[ "78-43=35", "27/9=3", "35-3=32" ]
Current State: 32:[43, 9, 78, 27], Operations: [] Exploring Operation: 78-43=35, Resulting Numbers: [9, 27, 35] Generated Node #2: [9, 27, 35] from Operation: 78-43=35 Current State: 32:[9, 27, 35], Operations: ['78-43=35'] Exploring Operation: 27/9=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 27/9=3 Current State: 32:[35, 3], Operations: ['78-43=35', '27/9=3'] Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 2, 34, 51, 3 ]
41
[ "34+51=85", "85-3=82", "82/2=41" ]
Current State: 41:[2, 34, 51, 3], Operations: [] Exploring Operation: 34+51=85, Resulting Numbers: [2, 3, 85] Generated Node #2: [2, 3, 85] from Operation: 34+51=85 Current State: 41:[2, 3, 85], Operations: ['34+51=85'] Exploring Operation: 85-3=82, Resulting Numbers: [2, 82] Generated Node #3: [2, 82] from Operation: 85-3=82 Current State: 41:[2, 82], Operations: ['34+51=85', '85-3=82'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 77, 86, 7, 2 ]
14
[ "86-77=9", "7-2=5", "9+5=14" ]
Current State: 14:[77, 86, 7, 2], Operations: [] Exploring Operation: 86-77=9, Resulting Numbers: [7, 2, 9] Generated Node #2: [7, 2, 9] from Operation: 86-77=9 Current State: 14:[7, 2, 9], Operations: ['86-77=9'] Exploring Operation: 7-2=5, Resulting Numbers: [9, 5] Generated Node #3: [9, 5] from Operation: 7-2=5 Current State: 14:[9, 5], Operations: ['86-77=9', '7-2=5'] Exploring Operation: 9+5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 76, 49, 39, 73 ]
13
[ "76+49=125", "39+73=112", "125-112=13" ]
Current State: 13:[76, 49, 39, 73], Operations: [] Exploring Operation: 76+49=125, Resulting Numbers: [39, 73, 125] Generated Node #2: [39, 73, 125] from Operation: 76+49=125 Current State: 13:[39, 73, 125], Operations: ['76+49=125'] Exploring Operation: 39+73=112, Resulting Numbers: [125, 112] Generated Node #3: [125, 112] from Operation: 39+73=112 Current State: 13:[125, 112], Operations: ['76+49=125', '39+73=112'] Exploring Operation: 125-112=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 80, 32, 49, 76 ]
21
[ "80-32=48", "76-49=27", "48-27=21" ]
Current State: 21:[80, 32, 49, 76], Operations: [] Exploring Operation: 80-32=48, Resulting Numbers: [49, 76, 48] Generated Node #2: [49, 76, 48] from Operation: 80-32=48 Current State: 21:[49, 76, 48], Operations: ['80-32=48'] Exploring Operation: 76-49=27, Resulting Numbers: [48, 27] Generated Node #3: [48, 27] from Operation: 76-49=27 Current State: 21:[48, 27], Operations: ['80-32=48', '76-49=27'] Exploring Operation: 48-27=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 80, 10, 30, 42 ]
12
[ "42-10=32", "30*32=960", "960/80=12" ]
Current State: 12:[80, 10, 30, 42], Operations: [] Exploring Operation: 42-10=32, Resulting Numbers: [80, 30, 32] Generated Node #2: [80, 30, 32] from Operation: 42-10=32 Current State: 12:[80, 30, 32], Operations: ['42-10=32'] Exploring Operation: 30*32=960, Resulting Numbers: [80, 960] Generated Node #3: [80, 960] from Operation: 30*32=960 Current State: 12:[80, 960], Operations: ['42-10=32', '30*32=960'] Exploring Operation: 960/80=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 34, 4, 4, 64 ]
26
[ "4+4=8", "64/8=8", "34-8=26" ]
Current State: 26:[34, 4, 4, 64], Operations: [] Exploring Operation: 4+4=8, Resulting Numbers: [34, 64, 8] Generated Node #2: [34, 64, 8] from Operation: 4+4=8 Current State: 26:[34, 64, 8], Operations: ['4+4=8'] Exploring Operation: 64/8=8, Resulting Numbers: [34, 8] Generated Node #3: [34, 8] from Operation: 64/8=8 Current State: 26:[34, 8], Operations: ['4+4=8', '64/8=8'] Exploring Operation: 34-8=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 34, 70, 32, 93 ]
89
[ "70-34=36", "32+93=125", "125-36=89" ]
Current State: 89:[34, 70, 32, 93], Operations: [] Exploring Operation: 70-34=36, Resulting Numbers: [32, 93, 36] Generated Node #2: [32, 93, 36] from Operation: 70-34=36 Current State: 89:[32, 93, 36], Operations: ['70-34=36'] Exploring Operation: 32+93=125, Resulting Numbers: [36, 125] Generated Node #3: [36, 125] from Operation: 32+93=125 Current State: 89:[36, 125], Operations: ['70-34=36', '32+93=125'] Exploring Operation: 125-36=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 46, 55, 12, 75 ]
54
[ "55-46=9", "75-12=63", "63-9=54" ]
Current State: 54:[46, 55, 12, 75], Operations: [] Exploring Operation: 55-46=9, Resulting Numbers: [12, 75, 9] Generated Node #2: [12, 75, 9] from Operation: 55-46=9 Current State: 54:[12, 75, 9], Operations: ['55-46=9'] Exploring Operation: 75-12=63, Resulting Numbers: [9, 63] Generated Node #3: [9, 63] from Operation: 75-12=63 Current State: 54:[9, 63], Operations: ['55-46=9', '75-12=63'] Exploring Operation: 63-9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 95, 44, 13, 48 ]
80
[ "95*48=4560", "44+13=57", "4560/57=80" ]
Current State: 80:[95, 44, 13, 48], Operations: [] Exploring Operation: 95*48=4560, Resulting Numbers: [44, 13, 4560] Generated Node #2: [44, 13, 4560] from Operation: 95*48=4560 Current State: 80:[44, 13, 4560], Operations: ['95*48=4560'] Exploring Operation: 44+13=57, Resulting Numbers: [4560, 57] Generated Node #3: [4560, 57] from Operation: 44+13=57 Current State: 80:[4560, 57], Operations: ['95*48=4560', '44+13=57'] Exploring Operation: 4560/57=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 37, 20, 25, 94 ]
27
[ "94-20=74", "74/37=2", "25+2=27" ]
Current State: 27:[37, 20, 25, 94], Operations: [] Exploring Operation: 94-20=74, Resulting Numbers: [37, 25, 74] Generated Node #2: [37, 25, 74] from Operation: 94-20=74 Current State: 27:[37, 25, 74], Operations: ['94-20=74'] Exploring Operation: 74/37=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 74/37=2 Current State: 27:[25, 2], Operations: ['94-20=74', '74/37=2'] Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 27, 37, 11, 81 ]
51
[ "81/27=3", "37+11=48", "3+48=51" ]
Current State: 51:[27, 37, 11, 81], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [37, 11, 3] Generated Node #2: [37, 11, 3] from Operation: 81/27=3 Current State: 51:[37, 11, 3], Operations: ['81/27=3'] Exploring Operation: 37+11=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 37+11=48 Current State: 51:[3, 48], Operations: ['81/27=3', '37+11=48'] Exploring Operation: 3+48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 33, 89, 37, 31 ]
63
[ "33-31=2", "89+37=126", "126/2=63" ]
Current State: 63:[33, 89, 37, 31], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [89, 37, 2] Generated Node #2: [89, 37, 2] from Operation: 33-31=2 Current State: 63:[89, 37, 2], Operations: ['33-31=2'] Exploring Operation: 89+37=126, Resulting Numbers: [2, 126] Generated Node #3: [2, 126] from Operation: 89+37=126 Current State: 63:[2, 126], Operations: ['33-31=2', '89+37=126'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 15, 68, 25, 76 ]
18
[ "15+68=83", "25+76=101", "101-83=18" ]
Current State: 18:[15, 68, 25, 76], Operations: [] Exploring Operation: 15+68=83, Resulting Numbers: [25, 76, 83] Generated Node #2: [25, 76, 83] from Operation: 15+68=83 Current State: 18:[25, 76, 83], Operations: ['15+68=83'] Exploring Operation: 25+76=101, Resulting Numbers: [83, 101] Generated Node #3: [83, 101] from Operation: 25+76=101 Current State: 18:[83, 101], Operations: ['15+68=83', '25+76=101'] Exploring Operation: 101-83=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 39, 48, 3, 26 ]
64
[ "39+48=87", "26-3=23", "87-23=64" ]
Current State: 64:[39, 48, 3, 26], Operations: [] Exploring Operation: 39+48=87, Resulting Numbers: [3, 26, 87] Generated Node #2: [3, 26, 87] from Operation: 39+48=87 Current State: 64:[3, 26, 87], Operations: ['39+48=87'] Exploring Operation: 26-3=23, Resulting Numbers: [87, 23] Generated Node #3: [87, 23] from Operation: 26-3=23 Current State: 64:[87, 23], Operations: ['39+48=87', '26-3=23'] Exploring Operation: 87-23=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 20, 44, 83, 9 ]
98
[ "44-20=24", "83-9=74", "24+74=98" ]
Current State: 98:[20, 44, 83, 9], Operations: [] Exploring Operation: 44-20=24, Resulting Numbers: [83, 9, 24] Generated Node #2: [83, 9, 24] from Operation: 44-20=24 Current State: 98:[83, 9, 24], Operations: ['44-20=24'] Exploring Operation: 83-9=74, Resulting Numbers: [24, 74] Generated Node #3: [24, 74] from Operation: 83-9=74 Current State: 98:[24, 74], Operations: ['44-20=24', '83-9=74'] Exploring Operation: 24+74=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 12, 1, 99, 72 ]
15
[ "12*1=12", "99-72=27", "27-12=15" ]
Current State: 15:[12, 1, 99, 72], Operations: [] Exploring Operation: 12*1=12, Resulting Numbers: [99, 72, 12] Generated Node #2: [99, 72, 12] from Operation: 12*1=12 Current State: 15:[99, 72, 12], Operations: ['12*1=12'] Exploring Operation: 99-72=27, Resulting Numbers: [12, 27] Generated Node #3: [12, 27] from Operation: 99-72=27 Current State: 15:[12, 27], Operations: ['12*1=12', '99-72=27'] Exploring Operation: 27-12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 47, 81, 52, 26 ]
36
[ "81-47=34", "52/26=2", "34+2=36" ]
Current State: 36:[47, 81, 52, 26], Operations: [] Exploring Operation: 81-47=34, Resulting Numbers: [52, 26, 34] Generated Node #2: [52, 26, 34] from Operation: 81-47=34 Current State: 36:[52, 26, 34], Operations: ['81-47=34'] Exploring Operation: 52/26=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 52/26=2 Current State: 36:[34, 2], Operations: ['81-47=34', '52/26=2'] Exploring Operation: 34+2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 27, 54, 22, 58 ]
47
[ "54/27=2", "22/2=11", "58-11=47" ]
Current State: 47:[27, 54, 22, 58], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [22, 58, 2] Generated Node #2: [22, 58, 2] from Operation: 54/27=2 Current State: 47:[22, 58, 2], Operations: ['54/27=2'] Exploring Operation: 22/2=11, Resulting Numbers: [58, 11] Generated Node #3: [58, 11] from Operation: 22/2=11 Current State: 47:[58, 11], Operations: ['54/27=2', '22/2=11'] Exploring Operation: 58-11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 19, 52, 11, 5 ]
62
[ "11-5=6", "19*6=114", "114-52=62" ]
Current State: 62:[19, 52, 11, 5], Operations: [] Exploring Operation: 11-5=6, Resulting Numbers: [19, 52, 6] Generated Node #2: [19, 52, 6] from Operation: 11-5=6 Current State: 62:[19, 52, 6], Operations: ['11-5=6'] Exploring Operation: 19*6=114, Resulting Numbers: [52, 114] Generated Node #3: [52, 114] from Operation: 19*6=114 Current State: 62:[52, 114], Operations: ['11-5=6', '19*6=114'] Exploring Operation: 114-52=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 5, 81, 11, 13 ]
88
[ "5+81=86", "13-11=2", "86+2=88" ]
Current State: 88:[5, 81, 11, 13], Operations: [] Exploring Operation: 5+81=86, Resulting Numbers: [11, 13, 86] Generated Node #2: [11, 13, 86] from Operation: 5+81=86 Current State: 88:[11, 13, 86], Operations: ['5+81=86'] Exploring Operation: 13-11=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 13-11=2 Current State: 88:[86, 2], Operations: ['5+81=86', '13-11=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 50, 44, 19, 31 ]
62
[ "50*31=1550", "44-19=25", "1550/25=62" ]
Current State: 62:[50, 44, 19, 31], Operations: [] Exploring Operation: 50*31=1550, Resulting Numbers: [44, 19, 1550] Generated Node #2: [44, 19, 1550] from Operation: 50*31=1550 Current State: 62:[44, 19, 1550], Operations: ['50*31=1550'] Exploring Operation: 44-19=25, Resulting Numbers: [1550, 25] Generated Node #3: [1550, 25] from Operation: 44-19=25 Current State: 62:[1550, 25], Operations: ['50*31=1550', '44-19=25'] Exploring Operation: 1550/25=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 70, 54, 73, 13 ]
64
[ "70+54=124", "73-13=60", "124-60=64" ]
Current State: 64:[70, 54, 73, 13], Operations: [] Exploring Operation: 70+54=124, Resulting Numbers: [73, 13, 124] Generated Node #2: [73, 13, 124] from Operation: 70+54=124 Current State: 64:[73, 13, 124], Operations: ['70+54=124'] Exploring Operation: 73-13=60, Resulting Numbers: [124, 60] Generated Node #3: [124, 60] from Operation: 73-13=60 Current State: 64:[124, 60], Operations: ['70+54=124', '73-13=60'] Exploring Operation: 124-60=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 12, 50, 12, 13 ]
38
[ "50-12=38", "13-12=1", "38*1=38" ]
Current State: 38:[12, 50, 12, 13], Operations: [] Exploring Operation: 50-12=38, Resulting Numbers: [13, 38] Generated Node #2: [13, 38] from Operation: 50-12=38 Current State: 38:[13, 38], Operations: ['50-12=38'] Exploring Operation: 13-12=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 13-12=1 Current State: 38:[38, 1], Operations: ['50-12=38', '13-12=1'] Exploring Operation: 38*1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 89, 47, 65, 7 ]
59
[ "89-47=42", "42/7=6", "65-6=59" ]
Current State: 59:[89, 47, 65, 7], Operations: [] Exploring Operation: 89-47=42, Resulting Numbers: [65, 7, 42] Generated Node #2: [65, 7, 42] from Operation: 89-47=42 Current State: 59:[65, 7, 42], Operations: ['89-47=42'] Exploring Operation: 42/7=6, Resulting Numbers: [65, 6] Generated Node #3: [65, 6] from Operation: 42/7=6 Current State: 59:[65, 6], Operations: ['89-47=42', '42/7=6'] Exploring Operation: 65-6=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 51, 59, 13 ]
22
[ "13-8=5", "51+59=110", "110/5=22" ]
Current State: 22:[8, 51, 59, 13], Operations: [] Exploring Operation: 13-8=5, Resulting Numbers: [51, 59, 5] Generated Node #2: [51, 59, 5] from Operation: 13-8=5 Current State: 22:[51, 59, 5], Operations: ['13-8=5'] Exploring Operation: 51+59=110, Resulting Numbers: [5, 110] Generated Node #3: [5, 110] from Operation: 51+59=110 Current State: 22:[5, 110], Operations: ['13-8=5', '51+59=110'] Exploring Operation: 110/5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 81, 39, 48 ]
27
[ "81-39=42", "42/2=21", "48-21=27" ]
Current State: 27:[2, 81, 39, 48], Operations: [] Exploring Operation: 81-39=42, Resulting Numbers: [2, 48, 42] Generated Node #2: [2, 48, 42] from Operation: 81-39=42 Current State: 27:[2, 48, 42], Operations: ['81-39=42'] Exploring Operation: 42/2=21, Resulting Numbers: [48, 21] Generated Node #3: [48, 21] from Operation: 42/2=21 Current State: 27:[48, 21], Operations: ['81-39=42', '42/2=21'] Exploring Operation: 48-21=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 62, 32, 85, 1 ]
55
[ "62-32=30", "85*1=85", "85-30=55" ]
Current State: 55:[62, 32, 85, 1], Operations: [] Exploring Operation: 62-32=30, Resulting Numbers: [85, 1, 30] Generated Node #2: [85, 1, 30] from Operation: 62-32=30 Current State: 55:[85, 1, 30], Operations: ['62-32=30'] Exploring Operation: 85*1=85, Resulting Numbers: [30, 85] Generated Node #3: [30, 85] from Operation: 85*1=85 Current State: 55:[30, 85], Operations: ['62-32=30', '85*1=85'] Exploring Operation: 85-30=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 39, 1, 82, 5 ]
39
[ "39-1=38", "82-5=77", "77-38=39" ]
Current State: 39:[39, 1, 82, 5], Operations: [] Exploring Operation: 39-1=38, Resulting Numbers: [82, 5, 38] Generated Node #2: [82, 5, 38] from Operation: 39-1=38 Current State: 39:[82, 5, 38], Operations: ['39-1=38'] Exploring Operation: 82-5=77, Resulting Numbers: [38, 77] Generated Node #3: [38, 77] from Operation: 82-5=77 Current State: 39:[38, 77], Operations: ['39-1=38', '82-5=77'] Exploring Operation: 77-38=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 52, 74, 40, 61 ]
44
[ "74-61=13", "52/13=4", "40+4=44" ]
Current State: 44:[52, 74, 40, 61], Operations: [] Exploring Operation: 74-61=13, Resulting Numbers: [52, 40, 13] Generated Node #2: [52, 40, 13] from Operation: 74-61=13 Current State: 44:[52, 40, 13], Operations: ['74-61=13'] Exploring Operation: 52/13=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 52/13=4 Current State: 44:[40, 4], Operations: ['74-61=13', '52/13=4'] Exploring Operation: 40+4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 20, 99, 93, 37 ]
30
[ "20*93=1860", "99-37=62", "1860/62=30" ]
Current State: 30:[20, 99, 93, 37], Operations: [] Exploring Operation: 20*93=1860, Resulting Numbers: [99, 37, 1860] Generated Node #2: [99, 37, 1860] from Operation: 20*93=1860 Current State: 30:[99, 37, 1860], Operations: ['20*93=1860'] Exploring Operation: 99-37=62, Resulting Numbers: [1860, 62] Generated Node #3: [1860, 62] from Operation: 99-37=62 Current State: 30:[1860, 62], Operations: ['20*93=1860', '99-37=62'] Exploring Operation: 1860/62=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 41, 6, 37, 64 ]
32
[ "41-6=35", "37-35=2", "64/2=32" ]
Current State: 32:[41, 6, 37, 64], Operations: [] Exploring Operation: 41-6=35, Resulting Numbers: [37, 64, 35] Generated Node #2: [37, 64, 35] from Operation: 41-6=35 Current State: 32:[37, 64, 35], Operations: ['41-6=35'] Exploring Operation: 37-35=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 37-35=2 Current State: 32:[64, 2], Operations: ['41-6=35', '37-35=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 3, 16, 58, 67 ]
59
[ "58-16=42", "3*42=126", "126-67=59" ]
Current State: 59:[3, 16, 58, 67], Operations: [] Exploring Operation: 58-16=42, Resulting Numbers: [3, 67, 42] Generated Node #2: [3, 67, 42] from Operation: 58-16=42 Current State: 59:[3, 67, 42], Operations: ['58-16=42'] Exploring Operation: 3*42=126, Resulting Numbers: [67, 126] Generated Node #3: [67, 126] from Operation: 3*42=126 Current State: 59:[67, 126], Operations: ['58-16=42', '3*42=126'] Exploring Operation: 126-67=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 49, 78, 8, 54 ]
46
[ "78-54=24", "24/8=3", "49-3=46" ]
Current State: 46:[49, 78, 8, 54], Operations: [] Exploring Operation: 78-54=24, Resulting Numbers: [49, 8, 24] Generated Node #2: [49, 8, 24] from Operation: 78-54=24 Current State: 46:[49, 8, 24], Operations: ['78-54=24'] Exploring Operation: 24/8=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 24/8=3 Current State: 46:[49, 3], Operations: ['78-54=24', '24/8=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 60, 98, 52, 52 ]
10
[ "98-52=46", "52-46=6", "60/6=10" ]
Current State: 10:[60, 98, 52, 52], Operations: [] Exploring Operation: 98-52=46, Resulting Numbers: [60, 46] Generated Node #2: [60, 46] from Operation: 98-52=46 Current State: 10:[60, 46], Operations: ['98-52=46'] Exploring Operation: 52-46=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 52-46=6 Current State: 10:[60, 6], Operations: ['98-52=46', '52-46=6'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 66, 96, 4, 24 ]
36
[ "96-66=30", "24/4=6", "30+6=36" ]
Current State: 36:[66, 96, 4, 24], Operations: [] Exploring Operation: 96-66=30, Resulting Numbers: [4, 24, 30] Generated Node #2: [4, 24, 30] from Operation: 96-66=30 Current State: 36:[4, 24, 30], Operations: ['96-66=30'] Exploring Operation: 24/4=6, Resulting Numbers: [30, 6] Generated Node #3: [30, 6] from Operation: 24/4=6 Current State: 36:[30, 6], Operations: ['96-66=30', '24/4=6'] Exploring Operation: 30+6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 76, 40, 89, 35 ]
75
[ "76*40=3040", "89*35=3115", "3115-3040=75" ]
Current State: 75:[76, 40, 89, 35], Operations: [] Exploring Operation: 76*40=3040, Resulting Numbers: [89, 35, 3040] Generated Node #2: [89, 35, 3040] from Operation: 76*40=3040 Current State: 75:[89, 35, 3040], Operations: ['76*40=3040'] Exploring Operation: 89*35=3115, Resulting Numbers: [3040, 3115] Generated Node #3: [3040, 3115] from Operation: 89*35=3115 Current State: 75:[3040, 3115], Operations: ['76*40=3040', '89*35=3115'] Exploring Operation: 3115-3040=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 63, 41, 29, 44 ]
58
[ "63-41=22", "29*44=1276", "1276/22=58" ]
Current State: 58:[63, 41, 29, 44], Operations: [] Exploring Operation: 63-41=22, Resulting Numbers: [29, 44, 22] Generated Node #2: [29, 44, 22] from Operation: 63-41=22 Current State: 58:[29, 44, 22], Operations: ['63-41=22'] Exploring Operation: 29*44=1276, Resulting Numbers: [22, 1276] Generated Node #3: [22, 1276] from Operation: 29*44=1276 Current State: 58:[22, 1276], Operations: ['63-41=22', '29*44=1276'] Exploring Operation: 1276/22=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 85, 18, 31, 28 ]
100
[ "85+18=103", "31-28=3", "103-3=100" ]
Current State: 100:[85, 18, 31, 28], Operations: [] Exploring Operation: 85+18=103, Resulting Numbers: [31, 28, 103] Generated Node #2: [31, 28, 103] from Operation: 85+18=103 Current State: 100:[31, 28, 103], Operations: ['85+18=103'] Exploring Operation: 31-28=3, Resulting Numbers: [103, 3] Generated Node #3: [103, 3] from Operation: 31-28=3 Current State: 100:[103, 3], Operations: ['85+18=103', '31-28=3'] Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 70, 62, 13, 2 ]
52
[ "70-62=8", "13*8=104", "104/2=52" ]
Current State: 52:[70, 62, 13, 2], Operations: [] Exploring Operation: 70-62=8, Resulting Numbers: [13, 2, 8] Generated Node #2: [13, 2, 8] from Operation: 70-62=8 Current State: 52:[13, 2, 8], Operations: ['70-62=8'] Exploring Operation: 13*8=104, Resulting Numbers: [2, 104] Generated Node #3: [2, 104] from Operation: 13*8=104 Current State: 52:[2, 104], Operations: ['70-62=8', '13*8=104'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 52, 63, 95, 85 ]
21
[ "63-52=11", "95-85=10", "11+10=21" ]
Current State: 21:[52, 63, 95, 85], Operations: [] Exploring Operation: 63-52=11, Resulting Numbers: [95, 85, 11] Generated Node #2: [95, 85, 11] from Operation: 63-52=11 Current State: 21:[95, 85, 11], Operations: ['63-52=11'] Exploring Operation: 95-85=10, Resulting Numbers: [11, 10] Generated Node #3: [11, 10] from Operation: 95-85=10 Current State: 21:[11, 10], Operations: ['63-52=11', '95-85=10'] Exploring Operation: 11+10=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 53, 20, 23, 88 ]
98
[ "53-20=33", "88-23=65", "33+65=98" ]
Current State: 98:[53, 20, 23, 88], Operations: [] Exploring Operation: 53-20=33, Resulting Numbers: [23, 88, 33] Generated Node #2: [23, 88, 33] from Operation: 53-20=33 Current State: 98:[23, 88, 33], Operations: ['53-20=33'] Exploring Operation: 88-23=65, Resulting Numbers: [33, 65] Generated Node #3: [33, 65] from Operation: 88-23=65 Current State: 98:[33, 65], Operations: ['53-20=33', '88-23=65'] Exploring Operation: 33+65=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 81, 42, 57, 32 ]
50
[ "81-42=39", "57+32=89", "89-39=50" ]
Current State: 50:[81, 42, 57, 32], Operations: [] Exploring Operation: 81-42=39, Resulting Numbers: [57, 32, 39] Generated Node #2: [57, 32, 39] from Operation: 81-42=39 Current State: 50:[57, 32, 39], Operations: ['81-42=39'] Exploring Operation: 57+32=89, Resulting Numbers: [39, 89] Generated Node #3: [39, 89] from Operation: 57+32=89 Current State: 50:[39, 89], Operations: ['81-42=39', '57+32=89'] Exploring Operation: 89-39=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 70, 24, 6, 55 ]
60
[ "70-55=15", "24/6=4", "15*4=60" ]
Current State: 60:[70, 24, 6, 55], Operations: [] Exploring Operation: 70-55=15, Resulting Numbers: [24, 6, 15] Generated Node #2: [24, 6, 15] from Operation: 70-55=15 Current State: 60:[24, 6, 15], Operations: ['70-55=15'] Exploring Operation: 24/6=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 24/6=4 Current State: 60:[15, 4], Operations: ['70-55=15', '24/6=4'] Exploring Operation: 15*4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 49, 90, 18, 69 ]
81
[ "69-49=20", "90*18=1620", "1620/20=81" ]
Current State: 81:[49, 90, 18, 69], Operations: [] Exploring Operation: 69-49=20, Resulting Numbers: [90, 18, 20] Generated Node #2: [90, 18, 20] from Operation: 69-49=20 Current State: 81:[90, 18, 20], Operations: ['69-49=20'] Exploring Operation: 90*18=1620, Resulting Numbers: [20, 1620] Generated Node #3: [20, 1620] from Operation: 90*18=1620 Current State: 81:[20, 1620], Operations: ['69-49=20', '90*18=1620'] Exploring Operation: 1620/20=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 94, 71, 98, 45 ]
69
[ "94-45=49", "98/49=2", "71-2=69" ]
Current State: 69:[94, 71, 98, 45], Operations: [] Exploring Operation: 94-45=49, Resulting Numbers: [71, 98, 49] Generated Node #2: [71, 98, 49] from Operation: 94-45=49 Current State: 69:[71, 98, 49], Operations: ['94-45=49'] Exploring Operation: 98/49=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 98/49=2 Current State: 69:[71, 2], Operations: ['94-45=49', '98/49=2'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 16, 69, 46, 56 ]
32
[ "16*69=1104", "1104/46=24", "56-24=32" ]
Current State: 32:[16, 69, 46, 56], Operations: [] Exploring Operation: 16*69=1104, Resulting Numbers: [46, 56, 1104] Generated Node #2: [46, 56, 1104] from Operation: 16*69=1104 Current State: 32:[46, 56, 1104], Operations: ['16*69=1104'] Exploring Operation: 1104/46=24, Resulting Numbers: [56, 24] Generated Node #3: [56, 24] from Operation: 1104/46=24 Current State: 32:[56, 24], Operations: ['16*69=1104', '1104/46=24'] Exploring Operation: 56-24=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 39, 43, 68, 20 ]
34
[ "39+43=82", "68-20=48", "82-48=34" ]
Current State: 34:[39, 43, 68, 20], Operations: [] Exploring Operation: 39+43=82, Resulting Numbers: [68, 20, 82] Generated Node #2: [68, 20, 82] from Operation: 39+43=82 Current State: 34:[68, 20, 82], Operations: ['39+43=82'] Exploring Operation: 68-20=48, Resulting Numbers: [82, 48] Generated Node #3: [82, 48] from Operation: 68-20=48 Current State: 34:[82, 48], Operations: ['39+43=82', '68-20=48'] Exploring Operation: 82-48=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 44, 14, 51, 4 ]
48
[ "44/4=11", "51-14=37", "11+37=48" ]
Current State: 48:[44, 14, 51, 4], Operations: [] Exploring Operation: 44/4=11, Resulting Numbers: [14, 51, 11] Generated Node #2: [14, 51, 11] from Operation: 44/4=11 Current State: 48:[14, 51, 11], Operations: ['44/4=11'] Exploring Operation: 51-14=37, Resulting Numbers: [11, 37] Generated Node #3: [11, 37] from Operation: 51-14=37 Current State: 48:[11, 37], Operations: ['44/4=11', '51-14=37'] Exploring Operation: 11+37=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 66, 69, 63, 45 ]
22
[ "66-63=3", "69/3=23", "45-23=22" ]
Current State: 22:[66, 69, 63, 45], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [69, 45, 3] Generated Node #2: [69, 45, 3] from Operation: 66-63=3 Current State: 22:[69, 45, 3], Operations: ['66-63=3'] Exploring Operation: 69/3=23, Resulting Numbers: [45, 23] Generated Node #3: [45, 23] from Operation: 69/3=23 Current State: 22:[45, 23], Operations: ['66-63=3', '69/3=23'] Exploring Operation: 45-23=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 67, 17, 91, 75 ]
100
[ "67+17=84", "91-75=16", "84+16=100" ]
Current State: 100:[67, 17, 91, 75], Operations: [] Exploring Operation: 67+17=84, Resulting Numbers: [91, 75, 84] Generated Node #2: [91, 75, 84] from Operation: 67+17=84 Current State: 100:[91, 75, 84], Operations: ['67+17=84'] Exploring Operation: 91-75=16, Resulting Numbers: [84, 16] Generated Node #3: [84, 16] from Operation: 91-75=16 Current State: 100:[84, 16], Operations: ['67+17=84', '91-75=16'] Exploring Operation: 84+16=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 3, 66, 35, 91 ]
40
[ "91-66=25", "3*25=75", "75-35=40" ]
Current State: 40:[3, 66, 35, 91], Operations: [] Exploring Operation: 91-66=25, Resulting Numbers: [3, 35, 25] Generated Node #2: [3, 35, 25] from Operation: 91-66=25 Current State: 40:[3, 35, 25], Operations: ['91-66=25'] Exploring Operation: 3*25=75, Resulting Numbers: [35, 75] Generated Node #3: [35, 75] from Operation: 3*25=75 Current State: 40:[35, 75], Operations: ['91-66=25', '3*25=75'] Exploring Operation: 75-35=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 93, 2, 42, 51 ]
100
[ "93-2=91", "51-42=9", "91+9=100" ]
Current State: 100:[93, 2, 42, 51], Operations: [] Exploring Operation: 93-2=91, Resulting Numbers: [42, 51, 91] Generated Node #2: [42, 51, 91] from Operation: 93-2=91 Current State: 100:[42, 51, 91], Operations: ['93-2=91'] Exploring Operation: 51-42=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 51-42=9 Current State: 100:[91, 9], Operations: ['93-2=91', '51-42=9'] Exploring Operation: 91+9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 95, 25, 40, 88 ]
72
[ "95+25=120", "88-40=48", "120-48=72" ]
Current State: 72:[95, 25, 40, 88], Operations: [] Exploring Operation: 95+25=120, Resulting Numbers: [40, 88, 120] Generated Node #2: [40, 88, 120] from Operation: 95+25=120 Current State: 72:[40, 88, 120], Operations: ['95+25=120'] Exploring Operation: 88-40=48, Resulting Numbers: [120, 48] Generated Node #3: [120, 48] from Operation: 88-40=48 Current State: 72:[120, 48], Operations: ['95+25=120', '88-40=48'] Exploring Operation: 120-48=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 50, 18, 35, 27 ]
60
[ "50+18=68", "35-27=8", "68-8=60" ]
Current State: 60:[50, 18, 35, 27], Operations: [] Exploring Operation: 50+18=68, Resulting Numbers: [35, 27, 68] Generated Node #2: [35, 27, 68] from Operation: 50+18=68 Current State: 60:[35, 27, 68], Operations: ['50+18=68'] Exploring Operation: 35-27=8, Resulting Numbers: [68, 8] Generated Node #3: [68, 8] from Operation: 35-27=8 Current State: 60:[68, 8], Operations: ['50+18=68', '35-27=8'] Exploring Operation: 68-8=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 73, 28, 47, 28 ]
27
[ "73-47=26", "28/28=1", "26+1=27" ]
Current State: 27:[73, 28, 47, 28], Operations: [] Exploring Operation: 73-47=26, Resulting Numbers: [28, 28, 26] Generated Node #2: [28, 28, 26] from Operation: 73-47=26 Current State: 27:[28, 28, 26], Operations: ['73-47=26'] Exploring Operation: 28/28=1, Resulting Numbers: [26, 1] Generated Node #3: [26, 1] from Operation: 28/28=1 Current State: 27:[26, 1], Operations: ['73-47=26', '28/28=1'] Exploring Operation: 26+1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 32, 45, 90, 15 ]
31
[ "32*45=1440", "1440/90=16", "15+16=31" ]
Current State: 31:[32, 45, 90, 15], Operations: [] Exploring Operation: 32*45=1440, Resulting Numbers: [90, 15, 1440] Generated Node #2: [90, 15, 1440] from Operation: 32*45=1440 Current State: 31:[90, 15, 1440], Operations: ['32*45=1440'] Exploring Operation: 1440/90=16, Resulting Numbers: [15, 16] Generated Node #3: [15, 16] from Operation: 1440/90=16 Current State: 31:[15, 16], Operations: ['32*45=1440', '1440/90=16'] Exploring Operation: 15+16=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 45, 90, 30, 64 ]
22
[ "64-45=19", "90/30=3", "19+3=22" ]
Current State: 22:[45, 90, 30, 64], Operations: [] Exploring Operation: 64-45=19, Resulting Numbers: [90, 30, 19] Generated Node #2: [90, 30, 19] from Operation: 64-45=19 Current State: 22:[90, 30, 19], Operations: ['64-45=19'] Exploring Operation: 90/30=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 90/30=3 Current State: 22:[19, 3], Operations: ['64-45=19', '90/30=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 22, 37, 48, 62 ]
95
[ "37-22=15", "48+62=110", "110-15=95" ]
Current State: 95:[22, 37, 48, 62], Operations: [] Exploring Operation: 37-22=15, Resulting Numbers: [48, 62, 15] Generated Node #2: [48, 62, 15] from Operation: 37-22=15 Current State: 95:[48, 62, 15], Operations: ['37-22=15'] Exploring Operation: 48+62=110, Resulting Numbers: [15, 110] Generated Node #3: [15, 110] from Operation: 48+62=110 Current State: 95:[15, 110], Operations: ['37-22=15', '48+62=110'] Exploring Operation: 110-15=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 27, 47, 30, 45 ]
89
[ "27+47=74", "45-30=15", "74+15=89" ]
Current State: 89:[27, 47, 30, 45], Operations: [] Exploring Operation: 27+47=74, Resulting Numbers: [30, 45, 74] Generated Node #2: [30, 45, 74] from Operation: 27+47=74 Current State: 89:[30, 45, 74], Operations: ['27+47=74'] Exploring Operation: 45-30=15, Resulting Numbers: [74, 15] Generated Node #3: [74, 15] from Operation: 45-30=15 Current State: 89:[74, 15], Operations: ['27+47=74', '45-30=15'] Exploring Operation: 74+15=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 90, 25, 8, 46 ]
15
[ "8+46=54", "25*54=1350", "1350/90=15" ]
Current State: 15:[90, 25, 8, 46], Operations: [] Exploring Operation: 8+46=54, Resulting Numbers: [90, 25, 54] Generated Node #2: [90, 25, 54] from Operation: 8+46=54 Current State: 15:[90, 25, 54], Operations: ['8+46=54'] Exploring Operation: 25*54=1350, Resulting Numbers: [90, 1350] Generated Node #3: [90, 1350] from Operation: 25*54=1350 Current State: 15:[90, 1350], Operations: ['8+46=54', '25*54=1350'] Exploring Operation: 1350/90=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 20, 55, 76, 4 ]
54
[ "55-20=35", "76/4=19", "35+19=54" ]
Current State: 54:[20, 55, 76, 4], Operations: [] Exploring Operation: 55-20=35, Resulting Numbers: [76, 4, 35] Generated Node #2: [76, 4, 35] from Operation: 55-20=35 Current State: 54:[76, 4, 35], Operations: ['55-20=35'] Exploring Operation: 76/4=19, Resulting Numbers: [35, 19] Generated Node #3: [35, 19] from Operation: 76/4=19 Current State: 54:[35, 19], Operations: ['55-20=35', '76/4=19'] Exploring Operation: 35+19=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 39, 56, 39, 14 ]
70
[ "39+56=95", "39-14=25", "95-25=70" ]
Current State: 70:[39, 56, 39, 14], Operations: [] Exploring Operation: 39+56=95, Resulting Numbers: [14, 95] Generated Node #2: [14, 95] from Operation: 39+56=95 Current State: 70:[14, 95], Operations: ['39+56=95'] Exploring Operation: 39-14=25, Resulting Numbers: [95, 25] Generated Node #3: [95, 25] from Operation: 39-14=25 Current State: 70:[95, 25], Operations: ['39+56=95', '39-14=25'] Exploring Operation: 95-25=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4