Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 90, 64, 31, 25 ]
82
[ "90-64=26", "31+25=56", "26+56=82" ]
Current State: 82:[90, 64, 31, 25], Operations: [] Exploring Operation: 90-64=26, Resulting Numbers: [31, 25, 26] Generated Node #2: [31, 25, 26] from Operation: 90-64=26 Current State: 82:[31, 25, 26], Operations: ['90-64=26'] Exploring Operation: 31+25=56, Resulting Numbers: [26, 56] Generated Node #3: [26, 56] from Operation: 31+25=56 Current State: 82:[26, 56], Operations: ['90-64=26', '31+25=56'] Exploring Operation: 26+56=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 51, 81, 20, 5 ]
34
[ "81-51=30", "20/5=4", "30+4=34" ]
Current State: 34:[51, 81, 20, 5], Operations: [] Exploring Operation: 81-51=30, Resulting Numbers: [20, 5, 30] Generated Node #2: [20, 5, 30] from Operation: 81-51=30 Current State: 34:[20, 5, 30], Operations: ['81-51=30'] Exploring Operation: 20/5=4, Resulting Numbers: [30, 4] Generated Node #3: [30, 4] from Operation: 20/5=4 Current State: 34:[30, 4], Operations: ['81-51=30', '20/5=4'] Exploring Operation: 30+4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 63, 61, 92, 57 ]
87
[ "92*57=5244", "63+5244=5307", "5307/61=87" ]
Current State: 87:[63, 61, 92, 57], Operations: [] Exploring Operation: 92*57=5244, Resulting Numbers: [63, 61, 5244] Generated Node #2: [63, 61, 5244] from Operation: 92*57=5244 Current State: 87:[63, 61, 5244], Operations: ['92*57=5244'] Exploring Operation: 63+5244=5307, Resulting Numbers: [61, 5307] Generated Node #3: [61, 5307] from Operation: 63+5244=5307 Current State: 87:[61, 5307], Operations: ['92*57=5244', '63+5244=5307'] Exploring Operation: 5307/61=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 15, 46, 23, 53 ]
91
[ "15+46=61", "53-23=30", "61+30=91" ]
Current State: 91:[15, 46, 23, 53], Operations: [] Exploring Operation: 15+46=61, Resulting Numbers: [23, 53, 61] Generated Node #2: [23, 53, 61] from Operation: 15+46=61 Current State: 91:[23, 53, 61], Operations: ['15+46=61'] Exploring Operation: 53-23=30, Resulting Numbers: [61, 30] Generated Node #3: [61, 30] from Operation: 53-23=30 Current State: 91:[61, 30], Operations: ['15+46=61', '53-23=30'] Exploring Operation: 61+30=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 21, 52, 18, 31 ]
86
[ "21+52=73", "31-18=13", "73+13=86" ]
Current State: 86:[21, 52, 18, 31], Operations: [] Exploring Operation: 21+52=73, Resulting Numbers: [18, 31, 73] Generated Node #2: [18, 31, 73] from Operation: 21+52=73 Current State: 86:[18, 31, 73], Operations: ['21+52=73'] Exploring Operation: 31-18=13, Resulting Numbers: [73, 13] Generated Node #3: [73, 13] from Operation: 31-18=13 Current State: 86:[73, 13], Operations: ['21+52=73', '31-18=13'] Exploring Operation: 73+13=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 51, 77, 20, 41 ]
79
[ "51-41=10", "20/10=2", "77+2=79" ]
Current State: 79:[51, 77, 20, 41], Operations: [] Exploring Operation: 51-41=10, Resulting Numbers: [77, 20, 10] Generated Node #2: [77, 20, 10] from Operation: 51-41=10 Current State: 79:[77, 20, 10], Operations: ['51-41=10'] Exploring Operation: 20/10=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 20/10=2 Current State: 79:[77, 2], Operations: ['51-41=10', '20/10=2'] Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 55, 81, 27, 68 ]
68
[ "81-55=26", "27-26=1", "68*1=68" ]
Current State: 68:[55, 81, 27, 68], Operations: [] Exploring Operation: 81-55=26, Resulting Numbers: [27, 68, 26] Generated Node #2: [27, 68, 26] from Operation: 81-55=26 Current State: 68:[27, 68, 26], Operations: ['81-55=26'] Exploring Operation: 27-26=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 27-26=1 Current State: 68:[68, 1], Operations: ['81-55=26', '27-26=1'] Exploring Operation: 68*1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 75, 3, 78, 77 ]
24
[ "75/3=25", "78-77=1", "25-1=24" ]
Current State: 24:[75, 3, 78, 77], Operations: [] Exploring Operation: 75/3=25, Resulting Numbers: [78, 77, 25] Generated Node #2: [78, 77, 25] from Operation: 75/3=25 Current State: 24:[78, 77, 25], Operations: ['75/3=25'] Exploring Operation: 78-77=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 78-77=1 Current State: 24:[25, 1], Operations: ['75/3=25', '78-77=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 10, 39, 82, 46 ]
30
[ "82-39=43", "46-43=3", "10*3=30" ]
Current State: 30:[10, 39, 82, 46], Operations: [] Exploring Operation: 82-39=43, Resulting Numbers: [10, 46, 43] Generated Node #2: [10, 46, 43] from Operation: 82-39=43 Current State: 30:[10, 46, 43], Operations: ['82-39=43'] Exploring Operation: 46-43=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 46-43=3 Current State: 30:[10, 3], Operations: ['82-39=43', '46-43=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 32, 85, 63, 18 ]
27
[ "32*63=2016", "2016/18=112", "112-85=27" ]
Current State: 27:[32, 85, 63, 18], Operations: [] Exploring Operation: 32*63=2016, Resulting Numbers: [85, 18, 2016] Generated Node #2: [85, 18, 2016] from Operation: 32*63=2016 Current State: 27:[85, 18, 2016], Operations: ['32*63=2016'] Exploring Operation: 2016/18=112, Resulting Numbers: [85, 112] Generated Node #3: [85, 112] from Operation: 2016/18=112 Current State: 27:[85, 112], Operations: ['32*63=2016', '2016/18=112'] Exploring Operation: 112-85=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 66, 18, 46, 61 ]
23
[ "66+18=84", "46+61=107", "107-84=23" ]
Current State: 23:[66, 18, 46, 61], Operations: [] Exploring Operation: 66+18=84, Resulting Numbers: [46, 61, 84] Generated Node #2: [46, 61, 84] from Operation: 66+18=84 Current State: 23:[46, 61, 84], Operations: ['66+18=84'] Exploring Operation: 46+61=107, Resulting Numbers: [84, 107] Generated Node #3: [84, 107] from Operation: 46+61=107 Current State: 23:[84, 107], Operations: ['66+18=84', '46+61=107'] Exploring Operation: 107-84=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 81, 54, 21, 39 ]
90
[ "21+39=60", "81*60=4860", "4860/54=90" ]
Current State: 90:[81, 54, 21, 39], Operations: [] Exploring Operation: 21+39=60, Resulting Numbers: [81, 54, 60] Generated Node #2: [81, 54, 60] from Operation: 21+39=60 Current State: 90:[81, 54, 60], Operations: ['21+39=60'] Exploring Operation: 81*60=4860, Resulting Numbers: [54, 4860] Generated Node #3: [54, 4860] from Operation: 81*60=4860 Current State: 90:[54, 4860], Operations: ['21+39=60', '81*60=4860'] Exploring Operation: 4860/54=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 47, 14, 83, 1 ]
51
[ "47-14=33", "83+1=84", "84-33=51" ]
Current State: 51:[47, 14, 83, 1], Operations: [] Exploring Operation: 47-14=33, Resulting Numbers: [83, 1, 33] Generated Node #2: [83, 1, 33] from Operation: 47-14=33 Current State: 51:[83, 1, 33], Operations: ['47-14=33'] Exploring Operation: 83+1=84, Resulting Numbers: [33, 84] Generated Node #3: [33, 84] from Operation: 83+1=84 Current State: 51:[33, 84], Operations: ['47-14=33', '83+1=84'] Exploring Operation: 84-33=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 90, 19, 14, 6 ]
79
[ "90-19=71", "14-6=8", "71+8=79" ]
Current State: 79:[90, 19, 14, 6], Operations: [] Exploring Operation: 90-19=71, Resulting Numbers: [14, 6, 71] Generated Node #2: [14, 6, 71] from Operation: 90-19=71 Current State: 79:[14, 6, 71], Operations: ['90-19=71'] Exploring Operation: 14-6=8, Resulting Numbers: [71, 8] Generated Node #3: [71, 8] from Operation: 14-6=8 Current State: 79:[71, 8], Operations: ['90-19=71', '14-6=8'] Exploring Operation: 71+8=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 9, 8, 84, 87 ]
15
[ "87-84=3", "8*3=24", "24-9=15" ]
Current State: 15:[9, 8, 84, 87], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [9, 8, 3] Generated Node #2: [9, 8, 3] from Operation: 87-84=3 Current State: 15:[9, 8, 3], Operations: ['87-84=3'] Exploring Operation: 8*3=24, Resulting Numbers: [9, 24] Generated Node #3: [9, 24] from Operation: 8*3=24 Current State: 15:[9, 24], Operations: ['87-84=3', '8*3=24'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 5, 70, 62, 8 ]
32
[ "5*8=40", "70-62=8", "40-8=32" ]
Current State: 32:[5, 70, 62, 8], Operations: [] Exploring Operation: 5*8=40, Resulting Numbers: [70, 62, 40] Generated Node #2: [70, 62, 40] from Operation: 5*8=40 Current State: 32:[70, 62, 40], Operations: ['5*8=40'] Exploring Operation: 70-62=8, Resulting Numbers: [40, 8] Generated Node #3: [40, 8] from Operation: 70-62=8 Current State: 32:[40, 8], Operations: ['5*8=40', '70-62=8'] Exploring Operation: 40-8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 66, 96, 56, 24 ]
82
[ "66+96=162", "56+24=80", "162-80=82" ]
Current State: 82:[66, 96, 56, 24], Operations: [] Exploring Operation: 66+96=162, Resulting Numbers: [56, 24, 162] Generated Node #2: [56, 24, 162] from Operation: 66+96=162 Current State: 82:[56, 24, 162], Operations: ['66+96=162'] Exploring Operation: 56+24=80, Resulting Numbers: [162, 80] Generated Node #3: [162, 80] from Operation: 56+24=80 Current State: 82:[162, 80], Operations: ['66+96=162', '56+24=80'] Exploring Operation: 162-80=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 8, 10, 21, 70 ]
11
[ "8*10=80", "21+70=91", "91-80=11" ]
Current State: 11:[8, 10, 21, 70], Operations: [] Exploring Operation: 8*10=80, Resulting Numbers: [21, 70, 80] Generated Node #2: [21, 70, 80] from Operation: 8*10=80 Current State: 11:[21, 70, 80], Operations: ['8*10=80'] Exploring Operation: 21+70=91, Resulting Numbers: [80, 91] Generated Node #3: [80, 91] from Operation: 21+70=91 Current State: 11:[80, 91], Operations: ['8*10=80', '21+70=91'] Exploring Operation: 91-80=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 30, 27, 69, 35 ]
47
[ "30+27=57", "69+35=104", "104-57=47" ]
Current State: 47:[30, 27, 69, 35], Operations: [] Exploring Operation: 30+27=57, Resulting Numbers: [69, 35, 57] Generated Node #2: [69, 35, 57] from Operation: 30+27=57 Current State: 47:[69, 35, 57], Operations: ['30+27=57'] Exploring Operation: 69+35=104, Resulting Numbers: [57, 104] Generated Node #3: [57, 104] from Operation: 69+35=104 Current State: 47:[57, 104], Operations: ['30+27=57', '69+35=104'] Exploring Operation: 104-57=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 4, 89, 11, 24 ]
98
[ "89-4=85", "24-11=13", "85+13=98" ]
Current State: 98:[4, 89, 11, 24], Operations: [] Exploring Operation: 89-4=85, Resulting Numbers: [11, 24, 85] Generated Node #2: [11, 24, 85] from Operation: 89-4=85 Current State: 98:[11, 24, 85], Operations: ['89-4=85'] Exploring Operation: 24-11=13, Resulting Numbers: [85, 13] Generated Node #3: [85, 13] from Operation: 24-11=13 Current State: 98:[85, 13], Operations: ['89-4=85', '24-11=13'] Exploring Operation: 85+13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 66, 17, 9, 56 ]
80
[ "66-56=10", "17-9=8", "10*8=80" ]
Current State: 80:[66, 17, 9, 56], Operations: [] Exploring Operation: 66-56=10, Resulting Numbers: [17, 9, 10] Generated Node #2: [17, 9, 10] from Operation: 66-56=10 Current State: 80:[17, 9, 10], Operations: ['66-56=10'] Exploring Operation: 17-9=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 17-9=8 Current State: 80:[10, 8], Operations: ['66-56=10', '17-9=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 50, 25, 11, 38 ]
74
[ "50-25=25", "11+38=49", "25+49=74" ]
Current State: 74:[50, 25, 11, 38], Operations: [] Exploring Operation: 50-25=25, Resulting Numbers: [11, 38, 25] Generated Node #2: [11, 38, 25] from Operation: 50-25=25 Current State: 74:[11, 38, 25], Operations: ['50-25=25'] Exploring Operation: 11+38=49, Resulting Numbers: [25, 49] Generated Node #3: [25, 49] from Operation: 11+38=49 Current State: 74:[25, 49], Operations: ['50-25=25', '11+38=49'] Exploring Operation: 25+49=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 58, 20, 12, 32 ]
82
[ "58-20=38", "12+32=44", "38+44=82" ]
Current State: 82:[58, 20, 12, 32], Operations: [] Exploring Operation: 58-20=38, Resulting Numbers: [12, 32, 38] Generated Node #2: [12, 32, 38] from Operation: 58-20=38 Current State: 82:[12, 32, 38], Operations: ['58-20=38'] Exploring Operation: 12+32=44, Resulting Numbers: [38, 44] Generated Node #3: [38, 44] from Operation: 12+32=44 Current State: 82:[38, 44], Operations: ['58-20=38', '12+32=44'] Exploring Operation: 38+44=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 64, 33, 14, 73 ]
90
[ "64-33=31", "73-14=59", "31+59=90" ]
Current State: 90:[64, 33, 14, 73], Operations: [] Exploring Operation: 64-33=31, Resulting Numbers: [14, 73, 31] Generated Node #2: [14, 73, 31] from Operation: 64-33=31 Current State: 90:[14, 73, 31], Operations: ['64-33=31'] Exploring Operation: 73-14=59, Resulting Numbers: [31, 59] Generated Node #3: [31, 59] from Operation: 73-14=59 Current State: 90:[31, 59], Operations: ['64-33=31', '73-14=59'] Exploring Operation: 31+59=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 64, 98, 35, 10 ]
36
[ "98*10=980", "980/35=28", "64-28=36" ]
Current State: 36:[64, 98, 35, 10], Operations: [] Exploring Operation: 98*10=980, Resulting Numbers: [64, 35, 980] Generated Node #2: [64, 35, 980] from Operation: 98*10=980 Current State: 36:[64, 35, 980], Operations: ['98*10=980'] Exploring Operation: 980/35=28, Resulting Numbers: [64, 28] Generated Node #3: [64, 28] from Operation: 980/35=28 Current State: 36:[64, 28], Operations: ['98*10=980', '980/35=28'] Exploring Operation: 64-28=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 83, 50, 1, 83 ]
50
[ "83+50=133", "1*83=83", "133-83=50" ]
Current State: 50:[83, 50, 1, 83], Operations: [] Exploring Operation: 83+50=133, Resulting Numbers: [1, 133] Generated Node #2: [1, 133] from Operation: 83+50=133 Current State: 50:[1, 133], Operations: ['83+50=133'] Exploring Operation: 1*83=83, Resulting Numbers: [133, 83] Generated Node #3: [133, 83] from Operation: 1*83=83 Current State: 50:[133, 83], Operations: ['83+50=133', '1*83=83'] Exploring Operation: 133-83=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 35, 7, 44, 69 ]
71
[ "35+7=42", "44+69=113", "113-42=71" ]
Current State: 71:[35, 7, 44, 69], Operations: [] Exploring Operation: 35+7=42, Resulting Numbers: [44, 69, 42] Generated Node #2: [44, 69, 42] from Operation: 35+7=42 Current State: 71:[44, 69, 42], Operations: ['35+7=42'] Exploring Operation: 44+69=113, Resulting Numbers: [42, 113] Generated Node #3: [42, 113] from Operation: 44+69=113 Current State: 71:[42, 113], Operations: ['35+7=42', '44+69=113'] Exploring Operation: 113-42=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 18, 66, 75, 4 ]
25
[ "18+4=22", "66/22=3", "75/3=25" ]
Current State: 25:[18, 66, 75, 4], Operations: [] Exploring Operation: 18+4=22, Resulting Numbers: [66, 75, 22] Generated Node #2: [66, 75, 22] from Operation: 18+4=22 Current State: 25:[66, 75, 22], Operations: ['18+4=22'] Exploring Operation: 66/22=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 66/22=3 Current State: 25:[75, 3], Operations: ['18+4=22', '66/22=3'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 95, 3, 16, 41 ]
73
[ "95+3=98", "41-16=25", "98-25=73" ]
Current State: 73:[95, 3, 16, 41], Operations: [] Exploring Operation: 95+3=98, Resulting Numbers: [16, 41, 98] Generated Node #2: [16, 41, 98] from Operation: 95+3=98 Current State: 73:[16, 41, 98], Operations: ['95+3=98'] Exploring Operation: 41-16=25, Resulting Numbers: [98, 25] Generated Node #3: [98, 25] from Operation: 41-16=25 Current State: 73:[98, 25], Operations: ['95+3=98', '41-16=25'] Exploring Operation: 98-25=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 26, 72, 91, 16 ]
61
[ "72-26=46", "91+16=107", "107-46=61" ]
Current State: 61:[26, 72, 91, 16], Operations: [] Exploring Operation: 72-26=46, Resulting Numbers: [91, 16, 46] Generated Node #2: [91, 16, 46] from Operation: 72-26=46 Current State: 61:[91, 16, 46], Operations: ['72-26=46'] Exploring Operation: 91+16=107, Resulting Numbers: [46, 107] Generated Node #3: [46, 107] from Operation: 91+16=107 Current State: 61:[46, 107], Operations: ['72-26=46', '91+16=107'] Exploring Operation: 107-46=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 38, 72, 62, 93 ]
31
[ "62-38=24", "72/24=3", "93/3=31" ]
Current State: 31:[38, 72, 62, 93], Operations: [] Exploring Operation: 62-38=24, Resulting Numbers: [72, 93, 24] Generated Node #2: [72, 93, 24] from Operation: 62-38=24 Current State: 31:[72, 93, 24], Operations: ['62-38=24'] Exploring Operation: 72/24=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 72/24=3 Current State: 31:[93, 3], Operations: ['62-38=24', '72/24=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 49, 20, 99, 9 ]
32
[ "49+99=148", "20*9=180", "180-148=32" ]
Current State: 32:[49, 20, 99, 9], Operations: [] Exploring Operation: 49+99=148, Resulting Numbers: [20, 9, 148] Generated Node #2: [20, 9, 148] from Operation: 49+99=148 Current State: 32:[20, 9, 148], Operations: ['49+99=148'] Exploring Operation: 20*9=180, Resulting Numbers: [148, 180] Generated Node #3: [148, 180] from Operation: 20*9=180 Current State: 32:[148, 180], Operations: ['49+99=148', '20*9=180'] Exploring Operation: 180-148=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 12, 3, 50, 5 ]
77
[ "12+50=62", "3*5=15", "62+15=77" ]
Current State: 77:[12, 3, 50, 5], Operations: [] Exploring Operation: 12+50=62, Resulting Numbers: [3, 5, 62] Generated Node #2: [3, 5, 62] from Operation: 12+50=62 Current State: 77:[3, 5, 62], Operations: ['12+50=62'] Exploring Operation: 3*5=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 3*5=15 Current State: 77:[62, 15], Operations: ['12+50=62', '3*5=15'] Exploring Operation: 62+15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 11, 45, 2, 63 ]
38
[ "11-2=9", "63/9=7", "45-7=38" ]
Current State: 38:[11, 45, 2, 63], Operations: [] Exploring Operation: 11-2=9, Resulting Numbers: [45, 63, 9] Generated Node #2: [45, 63, 9] from Operation: 11-2=9 Current State: 38:[45, 63, 9], Operations: ['11-2=9'] Exploring Operation: 63/9=7, Resulting Numbers: [45, 7] Generated Node #3: [45, 7] from Operation: 63/9=7 Current State: 38:[45, 7], Operations: ['11-2=9', '63/9=7'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 46, 14, 16, 36 ]
13
[ "16-14=2", "46/2=23", "36-23=13" ]
Current State: 13:[46, 14, 16, 36], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [46, 36, 2] Generated Node #2: [46, 36, 2] from Operation: 16-14=2 Current State: 13:[46, 36, 2], Operations: ['16-14=2'] Exploring Operation: 46/2=23, Resulting Numbers: [36, 23] Generated Node #3: [36, 23] from Operation: 46/2=23 Current State: 13:[36, 23], Operations: ['16-14=2', '46/2=23'] Exploring Operation: 36-23=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 77, 24, 3, 32 ]
72
[ "77+24=101", "32-3=29", "101-29=72" ]
Current State: 72:[77, 24, 3, 32], Operations: [] Exploring Operation: 77+24=101, Resulting Numbers: [3, 32, 101] Generated Node #2: [3, 32, 101] from Operation: 77+24=101 Current State: 72:[3, 32, 101], Operations: ['77+24=101'] Exploring Operation: 32-3=29, Resulting Numbers: [101, 29] Generated Node #3: [101, 29] from Operation: 32-3=29 Current State: 72:[101, 29], Operations: ['77+24=101', '32-3=29'] Exploring Operation: 101-29=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 71, 10, 96, 9 ]
88
[ "71+9=80", "80/10=8", "96-8=88" ]
Current State: 88:[71, 10, 96, 9], Operations: [] Exploring Operation: 71+9=80, Resulting Numbers: [10, 96, 80] Generated Node #2: [10, 96, 80] from Operation: 71+9=80 Current State: 88:[10, 96, 80], Operations: ['71+9=80'] Exploring Operation: 80/10=8, Resulting Numbers: [96, 8] Generated Node #3: [96, 8] from Operation: 80/10=8 Current State: 88:[96, 8], Operations: ['71+9=80', '80/10=8'] Exploring Operation: 96-8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 91, 57, 14, 4 ]
16
[ "91-57=34", "14+4=18", "34-18=16" ]
Current State: 16:[91, 57, 14, 4], Operations: [] Exploring Operation: 91-57=34, Resulting Numbers: [14, 4, 34] Generated Node #2: [14, 4, 34] from Operation: 91-57=34 Current State: 16:[14, 4, 34], Operations: ['91-57=34'] Exploring Operation: 14+4=18, Resulting Numbers: [34, 18] Generated Node #3: [34, 18] from Operation: 14+4=18 Current State: 16:[34, 18], Operations: ['91-57=34', '14+4=18'] Exploring Operation: 34-18=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 66, 73, 57, 61 ]
28
[ "73-66=7", "61-57=4", "7*4=28" ]
Current State: 28:[66, 73, 57, 61], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [57, 61, 7] Generated Node #2: [57, 61, 7] from Operation: 73-66=7 Current State: 28:[57, 61, 7], Operations: ['73-66=7'] Exploring Operation: 61-57=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 61-57=4 Current State: 28:[7, 4], Operations: ['73-66=7', '61-57=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 66, 22, 21, 20 ]
89
[ "66+22=88", "21-20=1", "88+1=89" ]
Current State: 89:[66, 22, 21, 20], Operations: [] Exploring Operation: 66+22=88, Resulting Numbers: [21, 20, 88] Generated Node #2: [21, 20, 88] from Operation: 66+22=88 Current State: 89:[21, 20, 88], Operations: ['66+22=88'] Exploring Operation: 21-20=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 21-20=1 Current State: 89:[88, 1], Operations: ['66+22=88', '21-20=1'] Exploring Operation: 88+1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 65, 61, 95, 24 ]
10
[ "65*24=1560", "61+95=156", "1560/156=10" ]
Current State: 10:[65, 61, 95, 24], Operations: [] Exploring Operation: 65*24=1560, Resulting Numbers: [61, 95, 1560] Generated Node #2: [61, 95, 1560] from Operation: 65*24=1560 Current State: 10:[61, 95, 1560], Operations: ['65*24=1560'] Exploring Operation: 61+95=156, Resulting Numbers: [1560, 156] Generated Node #3: [1560, 156] from Operation: 61+95=156 Current State: 10:[1560, 156], Operations: ['65*24=1560', '61+95=156'] Exploring Operation: 1560/156=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 62, 15, 3, 51 ]
94
[ "62+15=77", "51/3=17", "77+17=94" ]
Current State: 94:[62, 15, 3, 51], Operations: [] Exploring Operation: 62+15=77, Resulting Numbers: [3, 51, 77] Generated Node #2: [3, 51, 77] from Operation: 62+15=77 Current State: 94:[3, 51, 77], Operations: ['62+15=77'] Exploring Operation: 51/3=17, Resulting Numbers: [77, 17] Generated Node #3: [77, 17] from Operation: 51/3=17 Current State: 94:[77, 17], Operations: ['62+15=77', '51/3=17'] Exploring Operation: 77+17=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 83, 49, 34, 5 ]
73
[ "83-49=34", "34+5=39", "34+39=73" ]
Current State: 73:[83, 49, 34, 5], Operations: [] Exploring Operation: 83-49=34, Resulting Numbers: [34, 5, 34] Generated Node #2: [34, 5, 34] from Operation: 83-49=34 Current State: 73:[34, 5, 34], Operations: ['83-49=34'] Exploring Operation: 34+5=39, Resulting Numbers: [39] 39,73 equal: Goal Reached Exploring Operation: 34+39=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 25, 71, 88, 54 ]
27
[ "88+54=142", "142/71=2", "25+2=27" ]
Current State: 27:[25, 71, 88, 54], Operations: [] Exploring Operation: 88+54=142, Resulting Numbers: [25, 71, 142] Generated Node #2: [25, 71, 142] from Operation: 88+54=142 Current State: 27:[25, 71, 142], Operations: ['88+54=142'] Exploring Operation: 142/71=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 142/71=2 Current State: 27:[25, 2], Operations: ['88+54=142', '142/71=2'] Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 54, 35, 90, 29 ]
24
[ "54+90=144", "35-29=6", "144/6=24" ]
Current State: 24:[54, 35, 90, 29], Operations: [] Exploring Operation: 54+90=144, Resulting Numbers: [35, 29, 144] Generated Node #2: [35, 29, 144] from Operation: 54+90=144 Current State: 24:[35, 29, 144], Operations: ['54+90=144'] Exploring Operation: 35-29=6, Resulting Numbers: [144, 6] Generated Node #3: [144, 6] from Operation: 35-29=6 Current State: 24:[144, 6], Operations: ['54+90=144', '35-29=6'] Exploring Operation: 144/6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 93, 27, 41, 56 ]
81
[ "93-27=66", "56-41=15", "66+15=81" ]
Current State: 81:[93, 27, 41, 56], Operations: [] Exploring Operation: 93-27=66, Resulting Numbers: [41, 56, 66] Generated Node #2: [41, 56, 66] from Operation: 93-27=66 Current State: 81:[41, 56, 66], Operations: ['93-27=66'] Exploring Operation: 56-41=15, Resulting Numbers: [66, 15] Generated Node #3: [66, 15] from Operation: 56-41=15 Current State: 81:[66, 15], Operations: ['93-27=66', '56-41=15'] Exploring Operation: 66+15=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 93, 44, 2, 39 ]
83
[ "44-39=5", "2*5=10", "93-10=83" ]
Current State: 83:[93, 44, 2, 39], Operations: [] Exploring Operation: 44-39=5, Resulting Numbers: [93, 2, 5] Generated Node #2: [93, 2, 5] from Operation: 44-39=5 Current State: 83:[93, 2, 5], Operations: ['44-39=5'] Exploring Operation: 2*5=10, Resulting Numbers: [93, 10] Generated Node #3: [93, 10] from Operation: 2*5=10 Current State: 83:[93, 10], Operations: ['44-39=5', '2*5=10'] Exploring Operation: 93-10=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 44, 81, 84, 83 ]
86
[ "83-81=2", "84/2=42", "44+42=86" ]
Current State: 86:[44, 81, 84, 83], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [44, 84, 2] Generated Node #2: [44, 84, 2] from Operation: 83-81=2 Current State: 86:[44, 84, 2], Operations: ['83-81=2'] Exploring Operation: 84/2=42, Resulting Numbers: [44, 42] Generated Node #3: [44, 42] from Operation: 84/2=42 Current State: 86:[44, 42], Operations: ['83-81=2', '84/2=42'] Exploring Operation: 44+42=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 24, 3, 45, 30 ]
36
[ "24-3=21", "45-30=15", "21+15=36" ]
Current State: 36:[24, 3, 45, 30], Operations: [] Exploring Operation: 24-3=21, Resulting Numbers: [45, 30, 21] Generated Node #2: [45, 30, 21] from Operation: 24-3=21 Current State: 36:[45, 30, 21], Operations: ['24-3=21'] Exploring Operation: 45-30=15, Resulting Numbers: [21, 15] Generated Node #3: [21, 15] from Operation: 45-30=15 Current State: 36:[21, 15], Operations: ['24-3=21', '45-30=15'] Exploring Operation: 21+15=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 3, 21, 13 ]
68
[ "5-3=2", "21+13=34", "2*34=68" ]
Current State: 68:[5, 3, 21, 13], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [21, 13, 2] Generated Node #2: [21, 13, 2] from Operation: 5-3=2 Current State: 68:[21, 13, 2], Operations: ['5-3=2'] Exploring Operation: 21+13=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 21+13=34 Current State: 68:[2, 34], Operations: ['5-3=2', '21+13=34'] Exploring Operation: 2*34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 71, 71, 54, 38 ]
92
[ "71-71=0", "54+38=92", "0+92=92" ]
Current State: 92:[71, 71, 54, 38], Operations: [] Exploring Operation: 71-71=0, Resulting Numbers: [54, 38, 0] Generated Node #2: [54, 38, 0] from Operation: 71-71=0 Current State: 92:[54, 38, 0], Operations: ['71-71=0'] Exploring Operation: 54+38=92, Resulting Numbers: [0, 92] Generated Node #3: [0, 92] from Operation: 54+38=92 Current State: 92:[0, 92], Operations: ['71-71=0', '54+38=92'] Exploring Operation: 0+92=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 39, 7, 9, 8 ]
31
[ "39-7=32", "9-8=1", "32-1=31" ]
Current State: 31:[39, 7, 9, 8], Operations: [] Exploring Operation: 39-7=32, Resulting Numbers: [9, 8, 32] Generated Node #2: [9, 8, 32] from Operation: 39-7=32 Current State: 31:[9, 8, 32], Operations: ['39-7=32'] Exploring Operation: 9-8=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 9-8=1 Current State: 31:[32, 1], Operations: ['39-7=32', '9-8=1'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 99, 39, 15, 47 ]
43
[ "99-39=60", "60/15=4", "47-4=43" ]
Current State: 43:[99, 39, 15, 47], Operations: [] Exploring Operation: 99-39=60, Resulting Numbers: [15, 47, 60] Generated Node #2: [15, 47, 60] from Operation: 99-39=60 Current State: 43:[15, 47, 60], Operations: ['99-39=60'] Exploring Operation: 60/15=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 60/15=4 Current State: 43:[47, 4], Operations: ['99-39=60', '60/15=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 67, 22, 1, 69 ]
21
[ "67+22=89", "69-1=68", "89-68=21" ]
Current State: 21:[67, 22, 1, 69], Operations: [] Exploring Operation: 67+22=89, Resulting Numbers: [1, 69, 89] Generated Node #2: [1, 69, 89] from Operation: 67+22=89 Current State: 21:[1, 69, 89], Operations: ['67+22=89'] Exploring Operation: 69-1=68, Resulting Numbers: [89, 68] Generated Node #3: [89, 68] from Operation: 69-1=68 Current State: 21:[89, 68], Operations: ['67+22=89', '69-1=68'] Exploring Operation: 89-68=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 3, 23, 15, 45 ]
34
[ "3+23=26", "15+45=60", "60-26=34" ]
Current State: 34:[3, 23, 15, 45], Operations: [] Exploring Operation: 3+23=26, Resulting Numbers: [15, 45, 26] Generated Node #2: [15, 45, 26] from Operation: 3+23=26 Current State: 34:[15, 45, 26], Operations: ['3+23=26'] Exploring Operation: 15+45=60, Resulting Numbers: [26, 60] Generated Node #3: [26, 60] from Operation: 15+45=60 Current State: 34:[26, 60], Operations: ['3+23=26', '15+45=60'] Exploring Operation: 60-26=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 92, 3, 33, 48 ]
14
[ "92+3=95", "33+48=81", "95-81=14" ]
Current State: 14:[92, 3, 33, 48], Operations: [] Exploring Operation: 92+3=95, Resulting Numbers: [33, 48, 95] Generated Node #2: [33, 48, 95] from Operation: 92+3=95 Current State: 14:[33, 48, 95], Operations: ['92+3=95'] Exploring Operation: 33+48=81, Resulting Numbers: [95, 81] Generated Node #3: [95, 81] from Operation: 33+48=81 Current State: 14:[95, 81], Operations: ['92+3=95', '33+48=81'] Exploring Operation: 95-81=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 26, 56, 70, 88 ]
48
[ "56-26=30", "88-70=18", "30+18=48" ]
Current State: 48:[26, 56, 70, 88], Operations: [] Exploring Operation: 56-26=30, Resulting Numbers: [70, 88, 30] Generated Node #2: [70, 88, 30] from Operation: 56-26=30 Current State: 48:[70, 88, 30], Operations: ['56-26=30'] Exploring Operation: 88-70=18, Resulting Numbers: [30, 18] Generated Node #3: [30, 18] from Operation: 88-70=18 Current State: 48:[30, 18], Operations: ['56-26=30', '88-70=18'] Exploring Operation: 30+18=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 12, 55, 57, 59 ]
35
[ "57-55=2", "12*2=24", "59-24=35" ]
Current State: 35:[12, 55, 57, 59], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [12, 59, 2] Generated Node #2: [12, 59, 2] from Operation: 57-55=2 Current State: 35:[12, 59, 2], Operations: ['57-55=2'] Exploring Operation: 12*2=24, Resulting Numbers: [59, 24] Generated Node #3: [59, 24] from Operation: 12*2=24 Current State: 35:[59, 24], Operations: ['57-55=2', '12*2=24'] Exploring Operation: 59-24=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 5, 57, 69, 78 ]
95
[ "57-5=52", "69+78=147", "147-52=95" ]
Current State: 95:[5, 57, 69, 78], Operations: [] Exploring Operation: 57-5=52, Resulting Numbers: [69, 78, 52] Generated Node #2: [69, 78, 52] from Operation: 57-5=52 Current State: 95:[69, 78, 52], Operations: ['57-5=52'] Exploring Operation: 69+78=147, Resulting Numbers: [52, 147] Generated Node #3: [52, 147] from Operation: 69+78=147 Current State: 95:[52, 147], Operations: ['57-5=52', '69+78=147'] Exploring Operation: 147-52=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 2, 58, 40, 43 ]
58
[ "2+40=42", "43-42=1", "58*1=58" ]
Current State: 58:[2, 58, 40, 43], Operations: [] Exploring Operation: 2+40=42, Resulting Numbers: [58, 43, 42] Generated Node #2: [58, 43, 42] from Operation: 2+40=42 Current State: 58:[58, 43, 42], Operations: ['2+40=42'] Exploring Operation: 43-42=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 43-42=1 Current State: 58:[58, 1], Operations: ['2+40=42', '43-42=1'] Exploring Operation: 58*1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 74, 28, 7, 11 ]
19
[ "74-11=63", "63/7=9", "28-9=19" ]
Current State: 19:[74, 28, 7, 11], Operations: [] Exploring Operation: 74-11=63, Resulting Numbers: [28, 7, 63] Generated Node #2: [28, 7, 63] from Operation: 74-11=63 Current State: 19:[28, 7, 63], Operations: ['74-11=63'] Exploring Operation: 63/7=9, Resulting Numbers: [28, 9] Generated Node #3: [28, 9] from Operation: 63/7=9 Current State: 19:[28, 9], Operations: ['74-11=63', '63/7=9'] Exploring Operation: 28-9=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 17, 20, 22, 50 ]
84
[ "20-17=3", "50-22=28", "3*28=84" ]
Current State: 84:[17, 20, 22, 50], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [22, 50, 3] Generated Node #2: [22, 50, 3] from Operation: 20-17=3 Current State: 84:[22, 50, 3], Operations: ['20-17=3'] Exploring Operation: 50-22=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 50-22=28 Current State: 84:[3, 28], Operations: ['20-17=3', '50-22=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 42, 40, 3, 19 ]
13
[ "42-40=2", "3*2=6", "19-6=13" ]
Current State: 13:[42, 40, 3, 19], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [3, 19, 2] Generated Node #2: [3, 19, 2] from Operation: 42-40=2 Current State: 13:[3, 19, 2], Operations: ['42-40=2'] Exploring Operation: 3*2=6, Resulting Numbers: [19, 6] Generated Node #3: [19, 6] from Operation: 3*2=6 Current State: 13:[19, 6], Operations: ['42-40=2', '3*2=6'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 56, 27, 90, 78 ]
84
[ "27+90=117", "56*117=6552", "6552/78=84" ]
Current State: 84:[56, 27, 90, 78], Operations: [] Exploring Operation: 27+90=117, Resulting Numbers: [56, 78, 117] Generated Node #2: [56, 78, 117] from Operation: 27+90=117 Current State: 84:[56, 78, 117], Operations: ['27+90=117'] Exploring Operation: 56*117=6552, Resulting Numbers: [78, 6552] Generated Node #3: [78, 6552] from Operation: 56*117=6552 Current State: 84:[78, 6552], Operations: ['27+90=117', '56*117=6552'] Exploring Operation: 6552/78=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 62, 3, 56, 69 ]
37
[ "62+69=131", "3*56=168", "168-131=37" ]
Current State: 37:[62, 3, 56, 69], Operations: [] Exploring Operation: 62+69=131, Resulting Numbers: [3, 56, 131] Generated Node #2: [3, 56, 131] from Operation: 62+69=131 Current State: 37:[3, 56, 131], Operations: ['62+69=131'] Exploring Operation: 3*56=168, Resulting Numbers: [131, 168] Generated Node #3: [131, 168] from Operation: 3*56=168 Current State: 37:[131, 168], Operations: ['62+69=131', '3*56=168'] Exploring Operation: 168-131=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 33, 48, 16, 36 ]
96
[ "36-33=3", "48-16=32", "3*32=96" ]
Current State: 96:[33, 48, 16, 36], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [48, 16, 3] Generated Node #2: [48, 16, 3] from Operation: 36-33=3 Current State: 96:[48, 16, 3], Operations: ['36-33=3'] Exploring Operation: 48-16=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 48-16=32 Current State: 96:[3, 32], Operations: ['36-33=3', '48-16=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 33, 84, 66, 75 ]
11
[ "33+66=99", "84-75=9", "99/9=11" ]
Current State: 11:[33, 84, 66, 75], Operations: [] Exploring Operation: 33+66=99, Resulting Numbers: [84, 75, 99] Generated Node #2: [84, 75, 99] from Operation: 33+66=99 Current State: 11:[84, 75, 99], Operations: ['33+66=99'] Exploring Operation: 84-75=9, Resulting Numbers: [99, 9] Generated Node #3: [99, 9] from Operation: 84-75=9 Current State: 11:[99, 9], Operations: ['33+66=99', '84-75=9'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 80, 62, 98, 68 ]
66
[ "62+98=160", "160/80=2", "68-2=66" ]
Current State: 66:[80, 62, 98, 68], Operations: [] Exploring Operation: 62+98=160, Resulting Numbers: [80, 68, 160] Generated Node #2: [80, 68, 160] from Operation: 62+98=160 Current State: 66:[80, 68, 160], Operations: ['62+98=160'] Exploring Operation: 160/80=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 160/80=2 Current State: 66:[68, 2], Operations: ['62+98=160', '160/80=2'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 65, 6, 5, 20 ]
25
[ "20-5=15", "6*15=90", "90-65=25" ]
Current State: 25:[65, 6, 5, 20], Operations: [] Exploring Operation: 20-5=15, Resulting Numbers: [65, 6, 15] Generated Node #2: [65, 6, 15] from Operation: 20-5=15 Current State: 25:[65, 6, 15], Operations: ['20-5=15'] Exploring Operation: 6*15=90, Resulting Numbers: [65, 90] Generated Node #3: [65, 90] from Operation: 6*15=90 Current State: 25:[65, 90], Operations: ['20-5=15', '6*15=90'] Exploring Operation: 90-65=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 63, 30, 8, 67 ]
26
[ "63-30=33", "67-8=59", "59-33=26" ]
Current State: 26:[63, 30, 8, 67], Operations: [] Exploring Operation: 63-30=33, Resulting Numbers: [8, 67, 33] Generated Node #2: [8, 67, 33] from Operation: 63-30=33 Current State: 26:[8, 67, 33], Operations: ['63-30=33'] Exploring Operation: 67-8=59, Resulting Numbers: [33, 59] Generated Node #3: [33, 59] from Operation: 67-8=59 Current State: 26:[33, 59], Operations: ['63-30=33', '67-8=59'] Exploring Operation: 59-33=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 10, 40, 9, 14 ]
16
[ "40+14=54", "54/9=6", "10+6=16" ]
Current State: 16:[10, 40, 9, 14], Operations: [] Exploring Operation: 40+14=54, Resulting Numbers: [10, 9, 54] Generated Node #2: [10, 9, 54] from Operation: 40+14=54 Current State: 16:[10, 9, 54], Operations: ['40+14=54'] Exploring Operation: 54/9=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 54/9=6 Current State: 16:[10, 6], Operations: ['40+14=54', '54/9=6'] Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 30, 40, 45, 77 ]
80
[ "30+45=75", "77-75=2", "40*2=80" ]
Current State: 80:[30, 40, 45, 77], Operations: [] Exploring Operation: 30+45=75, Resulting Numbers: [40, 77, 75] Generated Node #2: [40, 77, 75] from Operation: 30+45=75 Current State: 80:[40, 77, 75], Operations: ['30+45=75'] Exploring Operation: 77-75=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 77-75=2 Current State: 80:[40, 2], Operations: ['30+45=75', '77-75=2'] Exploring Operation: 40*2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 18, 67, 69, 91 ]
92
[ "91-67=24", "69*24=1656", "1656/18=92" ]
Current State: 92:[18, 67, 69, 91], Operations: [] Exploring Operation: 91-67=24, Resulting Numbers: [18, 69, 24] Generated Node #2: [18, 69, 24] from Operation: 91-67=24 Current State: 92:[18, 69, 24], Operations: ['91-67=24'] Exploring Operation: 69*24=1656, Resulting Numbers: [18, 1656] Generated Node #3: [18, 1656] from Operation: 69*24=1656 Current State: 92:[18, 1656], Operations: ['91-67=24', '69*24=1656'] Exploring Operation: 1656/18=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 32, 92, 43, 51 ]
96
[ "51-43=8", "32/8=4", "92+4=96" ]
Current State: 96:[32, 92, 43, 51], Operations: [] Exploring Operation: 51-43=8, Resulting Numbers: [32, 92, 8] Generated Node #2: [32, 92, 8] from Operation: 51-43=8 Current State: 96:[32, 92, 8], Operations: ['51-43=8'] Exploring Operation: 32/8=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 32/8=4 Current State: 96:[92, 4], Operations: ['51-43=8', '32/8=4'] Exploring Operation: 92+4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 54, 12, 7, 99 ]
93
[ "54-12=42", "42/7=6", "99-6=93" ]
Current State: 93:[54, 12, 7, 99], Operations: [] Exploring Operation: 54-12=42, Resulting Numbers: [7, 99, 42] Generated Node #2: [7, 99, 42] from Operation: 54-12=42 Current State: 93:[7, 99, 42], Operations: ['54-12=42'] Exploring Operation: 42/7=6, Resulting Numbers: [99, 6] Generated Node #3: [99, 6] from Operation: 42/7=6 Current State: 93:[99, 6], Operations: ['54-12=42', '42/7=6'] Exploring Operation: 99-6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 3, 30, 9, 5 ]
40
[ "30/3=10", "9-5=4", "10*4=40" ]
Current State: 40:[3, 30, 9, 5], Operations: [] Exploring Operation: 30/3=10, Resulting Numbers: [9, 5, 10] Generated Node #2: [9, 5, 10] from Operation: 30/3=10 Current State: 40:[9, 5, 10], Operations: ['30/3=10'] Exploring Operation: 9-5=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 9-5=4 Current State: 40:[10, 4], Operations: ['30/3=10', '9-5=4'] Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 51, 62, 21, 52 ]
62
[ "62-51=11", "21+52=73", "73-11=62" ]
Current State: 62:[51, 62, 21, 52], Operations: [] Exploring Operation: 62-51=11, Resulting Numbers: [21, 52, 11] Generated Node #2: [21, 52, 11] from Operation: 62-51=11 Current State: 62:[21, 52, 11], Operations: ['62-51=11'] Exploring Operation: 21+52=73, Resulting Numbers: [11, 73] Generated Node #3: [11, 73] from Operation: 21+52=73 Current State: 62:[11, 73], Operations: ['62-51=11', '21+52=73'] Exploring Operation: 73-11=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 2, 79, 27, 87 ]
56
[ "79+87=166", "166/2=83", "83-27=56" ]
Current State: 56:[2, 79, 27, 87], Operations: [] Exploring Operation: 79+87=166, Resulting Numbers: [2, 27, 166] Generated Node #2: [2, 27, 166] from Operation: 79+87=166 Current State: 56:[2, 27, 166], Operations: ['79+87=166'] Exploring Operation: 166/2=83, Resulting Numbers: [27, 83] Generated Node #3: [27, 83] from Operation: 166/2=83 Current State: 56:[27, 83], Operations: ['79+87=166', '166/2=83'] Exploring Operation: 83-27=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 90, 41, 35 ]
30
[ "2*90=180", "41-35=6", "180/6=30" ]
Current State: 30:[2, 90, 41, 35], Operations: [] Exploring Operation: 2*90=180, Resulting Numbers: [41, 35, 180] Generated Node #2: [41, 35, 180] from Operation: 2*90=180 Current State: 30:[41, 35, 180], Operations: ['2*90=180'] Exploring Operation: 41-35=6, Resulting Numbers: [180, 6] Generated Node #3: [180, 6] from Operation: 41-35=6 Current State: 30:[180, 6], Operations: ['2*90=180', '41-35=6'] Exploring Operation: 180/6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 55, 71, 33, 3 ]
31
[ "55+71=126", "126-33=93", "93/3=31" ]
Current State: 31:[55, 71, 33, 3], Operations: [] Exploring Operation: 55+71=126, Resulting Numbers: [33, 3, 126] Generated Node #2: [33, 3, 126] from Operation: 55+71=126 Current State: 31:[33, 3, 126], Operations: ['55+71=126'] Exploring Operation: 126-33=93, Resulting Numbers: [3, 93] Generated Node #3: [3, 93] from Operation: 126-33=93 Current State: 31:[3, 93], Operations: ['55+71=126', '126-33=93'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 53, 4, 2, 60 ]
83
[ "4-2=2", "60/2=30", "53+30=83" ]
Current State: 83:[53, 4, 2, 60], Operations: [] Exploring Operation: 4-2=2, Resulting Numbers: [53, 60, 2] Generated Node #2: [53, 60, 2] from Operation: 4-2=2 Current State: 83:[53, 60, 2], Operations: ['4-2=2'] Exploring Operation: 60/2=30, Resulting Numbers: [53, 30] Generated Node #3: [53, 30] from Operation: 60/2=30 Current State: 83:[53, 30], Operations: ['4-2=2', '60/2=30'] Exploring Operation: 53+30=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 91, 27, 23, 41 ]
76
[ "91*23=2093", "2093-41=2052", "2052/27=76" ]
Current State: 76:[91, 27, 23, 41], Operations: [] Exploring Operation: 91*23=2093, Resulting Numbers: [27, 41, 2093] Generated Node #2: [27, 41, 2093] from Operation: 91*23=2093 Current State: 76:[27, 41, 2093], Operations: ['91*23=2093'] Exploring Operation: 2093-41=2052, Resulting Numbers: [27, 2052] Generated Node #3: [27, 2052] from Operation: 2093-41=2052 Current State: 76:[27, 2052], Operations: ['91*23=2093', '2093-41=2052'] Exploring Operation: 2052/27=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 12, 60, 79, 86 ]
79
[ "12+60=72", "86-79=7", "72+7=79" ]
Current State: 79:[12, 60, 79, 86], Operations: [] Exploring Operation: 12+60=72, Resulting Numbers: [79, 86, 72] Generated Node #2: [79, 86, 72] from Operation: 12+60=72 Current State: 79:[79, 86, 72], Operations: ['12+60=72'] Exploring Operation: 86-79=7, Resulting Numbers: [72, 7] Generated Node #3: [72, 7] from Operation: 86-79=7 Current State: 79:[72, 7], Operations: ['12+60=72', '86-79=7'] Exploring Operation: 72+7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 18, 9, 1, 25 ]
23
[ "18/9=2", "1*25=25", "25-2=23" ]
Current State: 23:[18, 9, 1, 25], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [1, 25, 2] Generated Node #2: [1, 25, 2] from Operation: 18/9=2 Current State: 23:[1, 25, 2], Operations: ['18/9=2'] Exploring Operation: 1*25=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 1*25=25 Current State: 23:[2, 25], Operations: ['18/9=2', '1*25=25'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 72, 45, 2, 92 ]
37
[ "72+92=164", "164/2=82", "82-45=37" ]
Current State: 37:[72, 45, 2, 92], Operations: [] Exploring Operation: 72+92=164, Resulting Numbers: [45, 2, 164] Generated Node #2: [45, 2, 164] from Operation: 72+92=164 Current State: 37:[45, 2, 164], Operations: ['72+92=164'] Exploring Operation: 164/2=82, Resulting Numbers: [45, 82] Generated Node #3: [45, 82] from Operation: 164/2=82 Current State: 37:[45, 82], Operations: ['72+92=164', '164/2=82'] Exploring Operation: 82-45=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 95, 52, 92 ]
97
[ "52+92=144", "144/72=2", "95+2=97" ]
Current State: 97:[72, 95, 52, 92], Operations: [] Exploring Operation: 52+92=144, Resulting Numbers: [72, 95, 144] Generated Node #2: [72, 95, 144] from Operation: 52+92=144 Current State: 97:[72, 95, 144], Operations: ['52+92=144'] Exploring Operation: 144/72=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 144/72=2 Current State: 97:[95, 2], Operations: ['52+92=144', '144/72=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 5, 12, 27, 80 ]
19
[ "27-12=15", "80+15=95", "95/5=19" ]
Current State: 19:[5, 12, 27, 80], Operations: [] Exploring Operation: 27-12=15, Resulting Numbers: [5, 80, 15] Generated Node #2: [5, 80, 15] from Operation: 27-12=15 Current State: 19:[5, 80, 15], Operations: ['27-12=15'] Exploring Operation: 80+15=95, Resulting Numbers: [5, 95] Generated Node #3: [5, 95] from Operation: 80+15=95 Current State: 19:[5, 95], Operations: ['27-12=15', '80+15=95'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 53, 62, 94, 10 ]
93
[ "62-53=9", "94-10=84", "9+84=93" ]
Current State: 93:[53, 62, 94, 10], Operations: [] Exploring Operation: 62-53=9, Resulting Numbers: [94, 10, 9] Generated Node #2: [94, 10, 9] from Operation: 62-53=9 Current State: 93:[94, 10, 9], Operations: ['62-53=9'] Exploring Operation: 94-10=84, Resulting Numbers: [9, 84] Generated Node #3: [9, 84] from Operation: 94-10=84 Current State: 93:[9, 84], Operations: ['62-53=9', '94-10=84'] Exploring Operation: 9+84=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 34, 2, 85, 82 ]
87
[ "34/2=17", "85/17=5", "82+5=87" ]
Current State: 87:[34, 2, 85, 82], Operations: [] Exploring Operation: 34/2=17, Resulting Numbers: [85, 82, 17] Generated Node #2: [85, 82, 17] from Operation: 34/2=17 Current State: 87:[85, 82, 17], Operations: ['34/2=17'] Exploring Operation: 85/17=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 85/17=5 Current State: 87:[82, 5], Operations: ['34/2=17', '85/17=5'] Exploring Operation: 82+5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 37, 78, 40, 71 ]
11
[ "37+40=77", "78-71=7", "77/7=11" ]
Current State: 11:[37, 78, 40, 71], Operations: [] Exploring Operation: 37+40=77, Resulting Numbers: [78, 71, 77] Generated Node #2: [78, 71, 77] from Operation: 37+40=77 Current State: 11:[78, 71, 77], Operations: ['37+40=77'] Exploring Operation: 78-71=7, Resulting Numbers: [77, 7] Generated Node #3: [77, 7] from Operation: 78-71=7 Current State: 11:[77, 7], Operations: ['37+40=77', '78-71=7'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 59, 70, 56, 51 ]
96
[ "70-59=11", "56+51=107", "107-11=96" ]
Current State: 96:[59, 70, 56, 51], Operations: [] Exploring Operation: 70-59=11, Resulting Numbers: [56, 51, 11] Generated Node #2: [56, 51, 11] from Operation: 70-59=11 Current State: 96:[56, 51, 11], Operations: ['70-59=11'] Exploring Operation: 56+51=107, Resulting Numbers: [11, 107] Generated Node #3: [11, 107] from Operation: 56+51=107 Current State: 96:[11, 107], Operations: ['70-59=11', '56+51=107'] Exploring Operation: 107-11=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 36, 28, 21, 77 ]
91
[ "36-28=8", "21*8=168", "168-77=91" ]
Current State: 91:[36, 28, 21, 77], Operations: [] Exploring Operation: 36-28=8, Resulting Numbers: [21, 77, 8] Generated Node #2: [21, 77, 8] from Operation: 36-28=8 Current State: 91:[21, 77, 8], Operations: ['36-28=8'] Exploring Operation: 21*8=168, Resulting Numbers: [77, 168] Generated Node #3: [77, 168] from Operation: 21*8=168 Current State: 91:[77, 168], Operations: ['36-28=8', '21*8=168'] Exploring Operation: 168-77=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 41, 87, 35, 28 ]
81
[ "41-35=6", "28*6=168", "168-87=81" ]
Current State: 81:[41, 87, 35, 28], Operations: [] Exploring Operation: 41-35=6, Resulting Numbers: [87, 28, 6] Generated Node #2: [87, 28, 6] from Operation: 41-35=6 Current State: 81:[87, 28, 6], Operations: ['41-35=6'] Exploring Operation: 28*6=168, Resulting Numbers: [87, 168] Generated Node #3: [87, 168] from Operation: 28*6=168 Current State: 81:[87, 168], Operations: ['41-35=6', '28*6=168'] Exploring Operation: 168-87=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 48, 96, 82, 75 ]
13
[ "48+96=144", "82+75=157", "157-144=13" ]
Current State: 13:[48, 96, 82, 75], Operations: [] Exploring Operation: 48+96=144, Resulting Numbers: [82, 75, 144] Generated Node #2: [82, 75, 144] from Operation: 48+96=144 Current State: 13:[82, 75, 144], Operations: ['48+96=144'] Exploring Operation: 82+75=157, Resulting Numbers: [144, 157] Generated Node #3: [144, 157] from Operation: 82+75=157 Current State: 13:[144, 157], Operations: ['48+96=144', '82+75=157'] Exploring Operation: 157-144=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 79, 13, 35, 73 ]
54
[ "79+13=92", "73-35=38", "92-38=54" ]
Current State: 54:[79, 13, 35, 73], Operations: [] Exploring Operation: 79+13=92, Resulting Numbers: [35, 73, 92] Generated Node #2: [35, 73, 92] from Operation: 79+13=92 Current State: 54:[35, 73, 92], Operations: ['79+13=92'] Exploring Operation: 73-35=38, Resulting Numbers: [92, 38] Generated Node #3: [92, 38] from Operation: 73-35=38 Current State: 54:[92, 38], Operations: ['79+13=92', '73-35=38'] Exploring Operation: 92-38=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 29, 79, 86, 78 ]
57
[ "86-29=57", "79-78=1", "57*1=57" ]
Current State: 57:[29, 79, 86, 78], Operations: [] Exploring Operation: 86-29=57, Resulting Numbers: [79, 78, 57] Generated Node #2: [79, 78, 57] from Operation: 86-29=57 Current State: 57:[79, 78, 57], Operations: ['86-29=57'] Exploring Operation: 79-78=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 79-78=1 Current State: 57:[57, 1], Operations: ['86-29=57', '79-78=1'] Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 56, 8, 17, 23 ]
28
[ "8+17=25", "25-23=2", "56/2=28" ]
Current State: 28:[56, 8, 17, 23], Operations: [] Exploring Operation: 8+17=25, Resulting Numbers: [56, 23, 25] Generated Node #2: [56, 23, 25] from Operation: 8+17=25 Current State: 28:[56, 23, 25], Operations: ['8+17=25'] Exploring Operation: 25-23=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 25-23=2 Current State: 28:[56, 2], Operations: ['8+17=25', '25-23=2'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 87, 7, 26, 6 ]
74
[ "87+7=94", "26-6=20", "94-20=74" ]
Current State: 74:[87, 7, 26, 6], Operations: [] Exploring Operation: 87+7=94, Resulting Numbers: [26, 6, 94] Generated Node #2: [26, 6, 94] from Operation: 87+7=94 Current State: 74:[26, 6, 94], Operations: ['87+7=94'] Exploring Operation: 26-6=20, Resulting Numbers: [94, 20] Generated Node #3: [94, 20] from Operation: 26-6=20 Current State: 74:[94, 20], Operations: ['87+7=94', '26-6=20'] Exploring Operation: 94-20=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 29, 23, 33, 49 ]
30
[ "29+23=52", "33+49=82", "82-52=30" ]
Current State: 30:[29, 23, 33, 49], Operations: [] Exploring Operation: 29+23=52, Resulting Numbers: [33, 49, 52] Generated Node #2: [33, 49, 52] from Operation: 29+23=52 Current State: 30:[33, 49, 52], Operations: ['29+23=52'] Exploring Operation: 33+49=82, Resulting Numbers: [52, 82] Generated Node #3: [52, 82] from Operation: 33+49=82 Current State: 30:[52, 82], Operations: ['29+23=52', '33+49=82'] Exploring Operation: 82-52=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 8, 3, 70, 83 ]
47
[ "83-70=13", "3*13=39", "8+39=47" ]
Current State: 47:[8, 3, 70, 83], Operations: [] Exploring Operation: 83-70=13, Resulting Numbers: [8, 3, 13] Generated Node #2: [8, 3, 13] from Operation: 83-70=13 Current State: 47:[8, 3, 13], Operations: ['83-70=13'] Exploring Operation: 3*13=39, Resulting Numbers: [8, 39] Generated Node #3: [8, 39] from Operation: 3*13=39 Current State: 47:[8, 39], Operations: ['83-70=13', '3*13=39'] Exploring Operation: 8+39=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4