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
[ 12, 53, 51, 36 ]
96
[ "12+36=48", "53-51=2", "48*2=96" ]
Current State: 96:[12, 53, 51, 36], Operations: [] Exploring Operation: 12+36=48, Resulting Numbers: [53, 51, 48] Generated Node #2: [53, 51, 48] from Operation: 12+36=48 Current State: 96:[53, 51, 48], Operations: ['12+36=48'] Exploring Operation: 53-51=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 53-51=2 Current State: 96:[48, 2], Operations: ['12+36=48', '53-51=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 85, 51, 65, 20 ]
53
[ "51*20=1020", "1020/85=12", "65-12=53" ]
Current State: 53:[85, 51, 65, 20], Operations: [] Exploring Operation: 51*20=1020, Resulting Numbers: [85, 65, 1020] Generated Node #2: [85, 65, 1020] from Operation: 51*20=1020 Current State: 53:[85, 65, 1020], Operations: ['51*20=1020'] Exploring Operation: 1020/85=12, Resulting Numbers: [65, 12] Generated Node #3: [65, 12] from Operation: 1020/85=12 Current State: 53:[65, 12], Operations: ['51*20=1020', '1020/85=12'] Exploring Operation: 65-12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 44, 83, 22, 64 ]
85
[ "44+83=127", "64-22=42", "127-42=85" ]
Current State: 85:[44, 83, 22, 64], Operations: [] Exploring Operation: 44+83=127, Resulting Numbers: [22, 64, 127] Generated Node #2: [22, 64, 127] from Operation: 44+83=127 Current State: 85:[22, 64, 127], Operations: ['44+83=127'] Exploring Operation: 64-22=42, Resulting Numbers: [127, 42] Generated Node #3: [127, 42] from Operation: 64-22=42 Current State: 85:[127, 42], Operations: ['44+83=127', '64-22=42'] Exploring Operation: 127-42=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 7, 88, 78, 84 ]
26
[ "88-7=81", "84-81=3", "78/3=26" ]
Current State: 26:[7, 88, 78, 84], Operations: [] Exploring Operation: 88-7=81, Resulting Numbers: [78, 84, 81] Generated Node #2: [78, 84, 81] from Operation: 88-7=81 Current State: 26:[78, 84, 81], Operations: ['88-7=81'] Exploring Operation: 84-81=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 84-81=3 Current State: 26:[78, 3], Operations: ['88-7=81', '84-81=3'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 48, 59, 70, 98 ]
39
[ "59-48=11", "98-70=28", "11+28=39" ]
Current State: 39:[48, 59, 70, 98], Operations: [] Exploring Operation: 59-48=11, Resulting Numbers: [70, 98, 11] Generated Node #2: [70, 98, 11] from Operation: 59-48=11 Current State: 39:[70, 98, 11], Operations: ['59-48=11'] Exploring Operation: 98-70=28, Resulting Numbers: [11, 28] Generated Node #3: [11, 28] from Operation: 98-70=28 Current State: 39:[11, 28], Operations: ['59-48=11', '98-70=28'] Exploring Operation: 11+28=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 7, 86, 89, 43 ]
98
[ "7+89=96", "86/43=2", "96+2=98" ]
Current State: 98:[7, 86, 89, 43], Operations: [] Exploring Operation: 7+89=96, Resulting Numbers: [86, 43, 96] Generated Node #2: [86, 43, 96] from Operation: 7+89=96 Current State: 98:[86, 43, 96], Operations: ['7+89=96'] Exploring Operation: 86/43=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 86/43=2 Current State: 98:[96, 2], Operations: ['7+89=96', '86/43=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 85, 80, 26, 25 ]
21
[ "85-80=5", "25/5=5", "26-5=21" ]
Current State: 21:[85, 80, 26, 25], Operations: [] Exploring Operation: 85-80=5, Resulting Numbers: [26, 25, 5] Generated Node #2: [26, 25, 5] from Operation: 85-80=5 Current State: 21:[26, 25, 5], Operations: ['85-80=5'] Exploring Operation: 25/5=5, Resulting Numbers: [26, 5] Generated Node #3: [26, 5] from Operation: 25/5=5 Current State: 21:[26, 5], Operations: ['85-80=5', '25/5=5'] Exploring Operation: 26-5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 21, 72, 37, 29 ]
57
[ "72*29=2088", "21+2088=2109", "2109/37=57" ]
Current State: 57:[21, 72, 37, 29], Operations: [] Exploring Operation: 72*29=2088, Resulting Numbers: [21, 37, 2088] Generated Node #2: [21, 37, 2088] from Operation: 72*29=2088 Current State: 57:[21, 37, 2088], Operations: ['72*29=2088'] Exploring Operation: 21+2088=2109, Resulting Numbers: [37, 2109] Generated Node #3: [37, 2109] from Operation: 21+2088=2109 Current State: 57:[37, 2109], Operations: ['72*29=2088', '21+2088=2109'] Exploring Operation: 2109/37=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 21, 3, 13, 18 ]
72
[ "13+18=31", "3*31=93", "93-21=72" ]
Current State: 72:[21, 3, 13, 18], Operations: [] Exploring Operation: 13+18=31, Resulting Numbers: [21, 3, 31] Generated Node #2: [21, 3, 31] from Operation: 13+18=31 Current State: 72:[21, 3, 31], Operations: ['13+18=31'] Exploring Operation: 3*31=93, Resulting Numbers: [21, 93] Generated Node #3: [21, 93] from Operation: 3*31=93 Current State: 72:[21, 93], Operations: ['13+18=31', '3*31=93'] Exploring Operation: 93-21=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 62, 10, 7, 24 ]
23
[ "7*24=168", "62+168=230", "230/10=23" ]
Current State: 23:[62, 10, 7, 24], Operations: [] Exploring Operation: 7*24=168, Resulting Numbers: [62, 10, 168] Generated Node #2: [62, 10, 168] from Operation: 7*24=168 Current State: 23:[62, 10, 168], Operations: ['7*24=168'] Exploring Operation: 62+168=230, Resulting Numbers: [10, 230] Generated Node #3: [10, 230] from Operation: 62+168=230 Current State: 23:[10, 230], Operations: ['7*24=168', '62+168=230'] Exploring Operation: 230/10=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 16, 98, 73, 88 ]
79
[ "98-16=82", "73+88=161", "161-82=79" ]
Current State: 79:[16, 98, 73, 88], Operations: [] Exploring Operation: 98-16=82, Resulting Numbers: [73, 88, 82] Generated Node #2: [73, 88, 82] from Operation: 98-16=82 Current State: 79:[73, 88, 82], Operations: ['98-16=82'] Exploring Operation: 73+88=161, Resulting Numbers: [82, 161] Generated Node #3: [82, 161] from Operation: 73+88=161 Current State: 79:[82, 161], Operations: ['98-16=82', '73+88=161'] Exploring Operation: 161-82=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 12, 33, 28 ]
75
[ "2+12=14", "33+28=61", "14+61=75" ]
Current State: 75:[2, 12, 33, 28], Operations: [] Exploring Operation: 2+12=14, Resulting Numbers: [33, 28, 14] Generated Node #2: [33, 28, 14] from Operation: 2+12=14 Current State: 75:[33, 28, 14], Operations: ['2+12=14'] Exploring Operation: 33+28=61, Resulting Numbers: [14, 61] Generated Node #3: [14, 61] from Operation: 33+28=61 Current State: 75:[14, 61], Operations: ['2+12=14', '33+28=61'] Exploring Operation: 14+61=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 26, 72, 79, 73 ]
38
[ "79-73=6", "72/6=12", "26+12=38" ]
Current State: 38:[26, 72, 79, 73], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [26, 72, 6] Generated Node #2: [26, 72, 6] from Operation: 79-73=6 Current State: 38:[26, 72, 6], Operations: ['79-73=6'] Exploring Operation: 72/6=12, Resulting Numbers: [26, 12] Generated Node #3: [26, 12] from Operation: 72/6=12 Current State: 38:[26, 12], Operations: ['79-73=6', '72/6=12'] Exploring Operation: 26+12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 34, 20, 89, 66 ]
24
[ "89-34=55", "20*66=1320", "1320/55=24" ]
Current State: 24:[34, 20, 89, 66], Operations: [] Exploring Operation: 89-34=55, Resulting Numbers: [20, 66, 55] Generated Node #2: [20, 66, 55] from Operation: 89-34=55 Current State: 24:[20, 66, 55], Operations: ['89-34=55'] Exploring Operation: 20*66=1320, Resulting Numbers: [55, 1320] Generated Node #3: [55, 1320] from Operation: 20*66=1320 Current State: 24:[55, 1320], Operations: ['89-34=55', '20*66=1320'] Exploring Operation: 1320/55=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 39, 20, 46, 33 ]
60
[ "39*20=780", "46-33=13", "780/13=60" ]
Current State: 60:[39, 20, 46, 33], Operations: [] Exploring Operation: 39*20=780, Resulting Numbers: [46, 33, 780] Generated Node #2: [46, 33, 780] from Operation: 39*20=780 Current State: 60:[46, 33, 780], Operations: ['39*20=780'] Exploring Operation: 46-33=13, Resulting Numbers: [780, 13] Generated Node #3: [780, 13] from Operation: 46-33=13 Current State: 60:[780, 13], Operations: ['39*20=780', '46-33=13'] Exploring Operation: 780/13=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 69, 87, 75, 19 ]
38
[ "87-69=18", "75-19=56", "56-18=38" ]
Current State: 38:[69, 87, 75, 19], Operations: [] Exploring Operation: 87-69=18, Resulting Numbers: [75, 19, 18] Generated Node #2: [75, 19, 18] from Operation: 87-69=18 Current State: 38:[75, 19, 18], Operations: ['87-69=18'] Exploring Operation: 75-19=56, Resulting Numbers: [18, 56] Generated Node #3: [18, 56] from Operation: 75-19=56 Current State: 38:[18, 56], Operations: ['87-69=18', '75-19=56'] Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 84, 81, 38, 85 ]
68
[ "85-81=4", "38*4=152", "152-84=68" ]
Current State: 68:[84, 81, 38, 85], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [84, 38, 4] Generated Node #2: [84, 38, 4] from Operation: 85-81=4 Current State: 68:[84, 38, 4], Operations: ['85-81=4'] Exploring Operation: 38*4=152, Resulting Numbers: [84, 152] Generated Node #3: [84, 152] from Operation: 38*4=152 Current State: 68:[84, 152], Operations: ['85-81=4', '38*4=152'] Exploring Operation: 152-84=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 68, 41, 77, 41 ]
73
[ "68+41=109", "77-41=36", "109-36=73" ]
Current State: 73:[68, 41, 77, 41], Operations: [] Exploring Operation: 68+41=109, Resulting Numbers: [77, 109] Generated Node #2: [77, 109] from Operation: 68+41=109 Current State: 73:[77, 109], Operations: ['68+41=109'] Exploring Operation: 77-41=36, Resulting Numbers: [109, 36] Generated Node #3: [109, 36] from Operation: 77-41=36 Current State: 73:[109, 36], Operations: ['68+41=109', '77-41=36'] Exploring Operation: 109-36=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 47, 13, 26, 62 ]
17
[ "62-47=15", "26/13=2", "15+2=17" ]
Current State: 17:[47, 13, 26, 62], Operations: [] Exploring Operation: 62-47=15, Resulting Numbers: [13, 26, 15] Generated Node #2: [13, 26, 15] from Operation: 62-47=15 Current State: 17:[13, 26, 15], Operations: ['62-47=15'] Exploring Operation: 26/13=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 26/13=2 Current State: 17:[15, 2], Operations: ['62-47=15', '26/13=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 34, 98, 63, 76 ]
76
[ "98-34=64", "64-63=1", "76*1=76" ]
Current State: 76:[34, 98, 63, 76], Operations: [] Exploring Operation: 98-34=64, Resulting Numbers: [63, 76, 64] Generated Node #2: [63, 76, 64] from Operation: 98-34=64 Current State: 76:[63, 76, 64], Operations: ['98-34=64'] Exploring Operation: 64-63=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 64-63=1 Current State: 76:[76, 1], Operations: ['98-34=64', '64-63=1'] Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 7, 57, 94 ]
79
[ "7+57=64", "94+64=158", "158/2=79" ]
Current State: 79:[2, 7, 57, 94], Operations: [] Exploring Operation: 7+57=64, Resulting Numbers: [2, 94, 64] Generated Node #2: [2, 94, 64] from Operation: 7+57=64 Current State: 79:[2, 94, 64], Operations: ['7+57=64'] Exploring Operation: 94+64=158, Resulting Numbers: [2, 158] Generated Node #3: [2, 158] from Operation: 94+64=158 Current State: 79:[2, 158], Operations: ['7+57=64', '94+64=158'] Exploring Operation: 158/2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 46, 2, 60 ]
20
[ "46-8=38", "60-2=58", "58-38=20" ]
Current State: 20:[8, 46, 2, 60], Operations: [] Exploring Operation: 46-8=38, Resulting Numbers: [2, 60, 38] Generated Node #2: [2, 60, 38] from Operation: 46-8=38 Current State: 20:[2, 60, 38], Operations: ['46-8=38'] Exploring Operation: 60-2=58, Resulting Numbers: [38, 58] Generated Node #3: [38, 58] from Operation: 60-2=58 Current State: 20:[38, 58], Operations: ['46-8=38', '60-2=58'] Exploring Operation: 58-38=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 18, 4, 3, 61 ]
55
[ "61-18=43", "4*3=12", "43+12=55" ]
Current State: 55:[18, 4, 3, 61], Operations: [] Exploring Operation: 61-18=43, Resulting Numbers: [4, 3, 43] Generated Node #2: [4, 3, 43] from Operation: 61-18=43 Current State: 55:[4, 3, 43], Operations: ['61-18=43'] Exploring Operation: 4*3=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 4*3=12 Current State: 55:[43, 12], Operations: ['61-18=43', '4*3=12'] Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 1, 99, 46, 71 ]
74
[ "1*99=99", "71-46=25", "99-25=74" ]
Current State: 74:[1, 99, 46, 71], Operations: [] Exploring Operation: 1*99=99, Resulting Numbers: [46, 71, 99] Generated Node #2: [46, 71, 99] from Operation: 1*99=99 Current State: 74:[46, 71, 99], Operations: ['1*99=99'] Exploring Operation: 71-46=25, Resulting Numbers: [99, 25] Generated Node #3: [99, 25] from Operation: 71-46=25 Current State: 74:[99, 25], Operations: ['1*99=99', '71-46=25'] Exploring Operation: 99-25=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 85, 50, 59, 5 ]
40
[ "59-50=9", "5*9=45", "85-45=40" ]
Current State: 40:[85, 50, 59, 5], Operations: [] Exploring Operation: 59-50=9, Resulting Numbers: [85, 5, 9] Generated Node #2: [85, 5, 9] from Operation: 59-50=9 Current State: 40:[85, 5, 9], Operations: ['59-50=9'] Exploring Operation: 5*9=45, Resulting Numbers: [85, 45] Generated Node #3: [85, 45] from Operation: 5*9=45 Current State: 40:[85, 45], Operations: ['59-50=9', '5*9=45'] Exploring Operation: 85-45=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 46, 63, 56, 43 ]
21
[ "46-43=3", "63-56=7", "3*7=21" ]
Current State: 21:[46, 63, 56, 43], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [63, 56, 3] Generated Node #2: [63, 56, 3] from Operation: 46-43=3 Current State: 21:[63, 56, 3], Operations: ['46-43=3'] Exploring Operation: 63-56=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 63-56=7 Current State: 21:[3, 7], Operations: ['46-43=3', '63-56=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 80, 10, 85, 2 ]
15
[ "85-80=5", "10*2=20", "20-5=15" ]
Current State: 15:[80, 10, 85, 2], Operations: [] Exploring Operation: 85-80=5, Resulting Numbers: [10, 2, 5] Generated Node #2: [10, 2, 5] from Operation: 85-80=5 Current State: 15:[10, 2, 5], Operations: ['85-80=5'] Exploring Operation: 10*2=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 10*2=20 Current State: 15:[5, 20], Operations: ['85-80=5', '10*2=20'] Exploring Operation: 20-5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 44, 40, 82, 5 ]
73
[ "44-40=4", "82-5=77", "77-4=73" ]
Current State: 73:[44, 40, 82, 5], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [82, 5, 4] Generated Node #2: [82, 5, 4] from Operation: 44-40=4 Current State: 73:[82, 5, 4], Operations: ['44-40=4'] Exploring Operation: 82-5=77, Resulting Numbers: [4, 77] Generated Node #3: [4, 77] from Operation: 82-5=77 Current State: 73:[4, 77], Operations: ['44-40=4', '82-5=77'] Exploring Operation: 77-4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 99, 27, 99, 40 ]
13
[ "99+27=126", "99+40=139", "139-126=13" ]
Current State: 13:[99, 27, 99, 40], Operations: [] Exploring Operation: 99+27=126, Resulting Numbers: [40, 126] Generated Node #2: [40, 126] from Operation: 99+27=126 Current State: 13:[40, 126], Operations: ['99+27=126'] Exploring Operation: 99+40=139, Resulting Numbers: [126, 139] Generated Node #3: [126, 139] from Operation: 99+40=139 Current State: 13:[126, 139], Operations: ['99+27=126', '99+40=139'] Exploring Operation: 139-126=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 86, 74, 2, 27 ]
17
[ "86-74=12", "2+27=29", "29-12=17" ]
Current State: 17:[86, 74, 2, 27], Operations: [] Exploring Operation: 86-74=12, Resulting Numbers: [2, 27, 12] Generated Node #2: [2, 27, 12] from Operation: 86-74=12 Current State: 17:[2, 27, 12], Operations: ['86-74=12'] Exploring Operation: 2+27=29, Resulting Numbers: [12, 29] Generated Node #3: [12, 29] from Operation: 2+27=29 Current State: 17:[12, 29], Operations: ['86-74=12', '2+27=29'] Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 42, 6, 25, 2 ]
70
[ "42+25=67", "6/2=3", "67+3=70" ]
Current State: 70:[42, 6, 25, 2], Operations: [] Exploring Operation: 42+25=67, Resulting Numbers: [6, 2, 67] Generated Node #2: [6, 2, 67] from Operation: 42+25=67 Current State: 70:[6, 2, 67], Operations: ['42+25=67'] Exploring Operation: 6/2=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 6/2=3 Current State: 70:[67, 3], Operations: ['42+25=67', '6/2=3'] Exploring Operation: 67+3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 88, 42, 18, 81 ]
67
[ "88+42=130", "81-18=63", "130-63=67" ]
Current State: 67:[88, 42, 18, 81], Operations: [] Exploring Operation: 88+42=130, Resulting Numbers: [18, 81, 130] Generated Node #2: [18, 81, 130] from Operation: 88+42=130 Current State: 67:[18, 81, 130], Operations: ['88+42=130'] Exploring Operation: 81-18=63, Resulting Numbers: [130, 63] Generated Node #3: [130, 63] from Operation: 81-18=63 Current State: 67:[130, 63], Operations: ['88+42=130', '81-18=63'] Exploring Operation: 130-63=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 59, 91, 36, 63 ]
53
[ "63-59=4", "36*4=144", "144-91=53" ]
Current State: 53:[59, 91, 36, 63], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [91, 36, 4] Generated Node #2: [91, 36, 4] from Operation: 63-59=4 Current State: 53:[91, 36, 4], Operations: ['63-59=4'] Exploring Operation: 36*4=144, Resulting Numbers: [91, 144] Generated Node #3: [91, 144] from Operation: 36*4=144 Current State: 53:[91, 144], Operations: ['63-59=4', '36*4=144'] Exploring Operation: 144-91=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 52, 12, 13, 58 ]
26
[ "58-52=6", "12*13=156", "156/6=26" ]
Current State: 26:[52, 12, 13, 58], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [12, 13, 6] Generated Node #2: [12, 13, 6] from Operation: 58-52=6 Current State: 26:[12, 13, 6], Operations: ['58-52=6'] Exploring Operation: 12*13=156, Resulting Numbers: [6, 156] Generated Node #3: [6, 156] from Operation: 12*13=156 Current State: 26:[6, 156], Operations: ['58-52=6', '12*13=156'] Exploring Operation: 156/6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 37, 73, 47, 73 ]
10
[ "37+73=110", "47+73=120", "120-110=10" ]
Current State: 10:[37, 73, 47, 73], Operations: [] Exploring Operation: 37+73=110, Resulting Numbers: [47, 110] Generated Node #2: [47, 110] from Operation: 37+73=110 Current State: 10:[47, 110], Operations: ['37+73=110'] Exploring Operation: 47+73=120, Resulting Numbers: [110, 120] Generated Node #3: [110, 120] from Operation: 47+73=120 Current State: 10:[110, 120], Operations: ['37+73=110', '47+73=120'] Exploring Operation: 120-110=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 14, 14, 95, 12 ]
83
[ "14-14=0", "95-12=83", "0+83=83" ]
Current State: 83:[14, 14, 95, 12], Operations: [] Exploring Operation: 14-14=0, Resulting Numbers: [95, 12, 0] Generated Node #2: [95, 12, 0] from Operation: 14-14=0 Current State: 83:[95, 12, 0], Operations: ['14-14=0'] Exploring Operation: 95-12=83, Resulting Numbers: [0, 83] Generated Node #3: [0, 83] from Operation: 95-12=83 Current State: 83:[0, 83], Operations: ['14-14=0', '95-12=83'] Exploring Operation: 0+83=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 51, 26, 56, 34 ]
47
[ "51-26=25", "56-34=22", "25+22=47" ]
Current State: 47:[51, 26, 56, 34], Operations: [] Exploring Operation: 51-26=25, Resulting Numbers: [56, 34, 25] Generated Node #2: [56, 34, 25] from Operation: 51-26=25 Current State: 47:[56, 34, 25], Operations: ['51-26=25'] Exploring Operation: 56-34=22, Resulting Numbers: [25, 22] Generated Node #3: [25, 22] from Operation: 56-34=22 Current State: 47:[25, 22], Operations: ['51-26=25', '56-34=22'] Exploring Operation: 25+22=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 53, 2, 54, 51 ]
49
[ "54-53=1", "51-2=49", "1*49=49" ]
Current State: 49:[53, 2, 54, 51], Operations: [] Exploring Operation: 54-53=1, Resulting Numbers: [2, 51, 1] Generated Node #2: [2, 51, 1] from Operation: 54-53=1 Current State: 49:[2, 51, 1], Operations: ['54-53=1'] Exploring Operation: 51-2=49, Resulting Numbers: [1, 49] Generated Node #3: [1, 49] from Operation: 51-2=49 Current State: 49:[1, 49], Operations: ['54-53=1', '51-2=49'] Exploring Operation: 1*49=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 90, 36, 22, 94 ]
88
[ "94-22=72", "72/36=2", "90-2=88" ]
Current State: 88:[90, 36, 22, 94], Operations: [] Exploring Operation: 94-22=72, Resulting Numbers: [90, 36, 72] Generated Node #2: [90, 36, 72] from Operation: 94-22=72 Current State: 88:[90, 36, 72], Operations: ['94-22=72'] Exploring Operation: 72/36=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 72/36=2 Current State: 88:[90, 2], Operations: ['94-22=72', '72/36=2'] Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 53, 78, 97, 58 ]
95
[ "58-53=5", "97-78=19", "5*19=95" ]
Current State: 95:[53, 78, 97, 58], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [78, 97, 5] Generated Node #2: [78, 97, 5] from Operation: 58-53=5 Current State: 95:[78, 97, 5], Operations: ['58-53=5'] Exploring Operation: 97-78=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 97-78=19 Current State: 95:[5, 19], Operations: ['58-53=5', '97-78=19'] Exploring Operation: 5*19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 21, 84, 69, 28 ]
45
[ "84/21=4", "69-28=41", "4+41=45" ]
Current State: 45:[21, 84, 69, 28], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [69, 28, 4] Generated Node #2: [69, 28, 4] from Operation: 84/21=4 Current State: 45:[69, 28, 4], Operations: ['84/21=4'] Exploring Operation: 69-28=41, Resulting Numbers: [4, 41] Generated Node #3: [4, 41] from Operation: 69-28=41 Current State: 45:[4, 41], Operations: ['84/21=4', '69-28=41'] Exploring Operation: 4+41=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 4, 35, 85, 79 ]
96
[ "79-35=44", "44/4=11", "85+11=96" ]
Current State: 96:[4, 35, 85, 79], Operations: [] Exploring Operation: 79-35=44, Resulting Numbers: [4, 85, 44] Generated Node #2: [4, 85, 44] from Operation: 79-35=44 Current State: 96:[4, 85, 44], Operations: ['79-35=44'] Exploring Operation: 44/4=11, Resulting Numbers: [85, 11] Generated Node #3: [85, 11] from Operation: 44/4=11 Current State: 96:[85, 11], Operations: ['79-35=44', '44/4=11'] Exploring Operation: 85+11=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 43, 57, 74, 73 ]
47
[ "43+57=100", "74+73=147", "147-100=47" ]
Current State: 47:[43, 57, 74, 73], Operations: [] Exploring Operation: 43+57=100, Resulting Numbers: [74, 73, 100] Generated Node #2: [74, 73, 100] from Operation: 43+57=100 Current State: 47:[74, 73, 100], Operations: ['43+57=100'] Exploring Operation: 74+73=147, Resulting Numbers: [100, 147] Generated Node #3: [100, 147] from Operation: 74+73=147 Current State: 47:[100, 147], Operations: ['43+57=100', '74+73=147'] Exploring Operation: 147-100=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 88, 6, 11, 78 ]
39
[ "88/11=8", "8-6=2", "78/2=39" ]
Current State: 39:[88, 6, 11, 78], Operations: [] Exploring Operation: 88/11=8, Resulting Numbers: [6, 78, 8] Generated Node #2: [6, 78, 8] from Operation: 88/11=8 Current State: 39:[6, 78, 8], Operations: ['88/11=8'] Exploring Operation: 8-6=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 8-6=2 Current State: 39:[78, 2], Operations: ['88/11=8', '8-6=2'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 21, 28, 83, 71 ]
19
[ "28-21=7", "83-71=12", "7+12=19" ]
Current State: 19:[21, 28, 83, 71], Operations: [] Exploring Operation: 28-21=7, Resulting Numbers: [83, 71, 7] Generated Node #2: [83, 71, 7] from Operation: 28-21=7 Current State: 19:[83, 71, 7], Operations: ['28-21=7'] Exploring Operation: 83-71=12, Resulting Numbers: [7, 12] Generated Node #3: [7, 12] from Operation: 83-71=12 Current State: 19:[7, 12], Operations: ['28-21=7', '83-71=12'] Exploring Operation: 7+12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 76, 9, 49, 82 ]
64
[ "76-9=67", "49+82=131", "131-67=64" ]
Current State: 64:[76, 9, 49, 82], Operations: [] Exploring Operation: 76-9=67, Resulting Numbers: [49, 82, 67] Generated Node #2: [49, 82, 67] from Operation: 76-9=67 Current State: 64:[49, 82, 67], Operations: ['76-9=67'] Exploring Operation: 49+82=131, Resulting Numbers: [67, 131] Generated Node #3: [67, 131] from Operation: 49+82=131 Current State: 64:[67, 131], Operations: ['76-9=67', '49+82=131'] Exploring Operation: 131-67=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 1, 4, 4, 32 ]
32
[ "1+4=5", "5-4=1", "32*1=32" ]
Current State: 32:[1, 4, 4, 32], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [32, 5] Generated Node #2: [32, 5] from Operation: 1+4=5 Current State: 32:[32, 5], Operations: ['1+4=5'] Exploring Operation: 5-4=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 5-4=1 Current State: 32:[32, 1], Operations: ['1+4=5', '5-4=1'] Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 29, 81, 33, 64 ]
68
[ "33-29=4", "81-64=17", "4*17=68" ]
Current State: 68:[29, 81, 33, 64], Operations: [] Exploring Operation: 33-29=4, Resulting Numbers: [81, 64, 4] Generated Node #2: [81, 64, 4] from Operation: 33-29=4 Current State: 68:[81, 64, 4], Operations: ['33-29=4'] Exploring Operation: 81-64=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 81-64=17 Current State: 68:[4, 17], Operations: ['33-29=4', '81-64=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 3, 14, 79, 40 ]
71
[ "14+79=93", "93/3=31", "40+31=71" ]
Current State: 71:[3, 14, 79, 40], Operations: [] Exploring Operation: 14+79=93, Resulting Numbers: [3, 40, 93] Generated Node #2: [3, 40, 93] from Operation: 14+79=93 Current State: 71:[3, 40, 93], Operations: ['14+79=93'] Exploring Operation: 93/3=31, Resulting Numbers: [40, 31] Generated Node #3: [40, 31] from Operation: 93/3=31 Current State: 71:[40, 31], Operations: ['14+79=93', '93/3=31'] Exploring Operation: 40+31=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 82, 54, 98, 85 ]
46
[ "54*85=4590", "4590-82=4508", "4508/98=46" ]
Current State: 46:[82, 54, 98, 85], Operations: [] Exploring Operation: 54*85=4590, Resulting Numbers: [82, 98, 4590] Generated Node #2: [82, 98, 4590] from Operation: 54*85=4590 Current State: 46:[82, 98, 4590], Operations: ['54*85=4590'] Exploring Operation: 4590-82=4508, Resulting Numbers: [98, 4508] Generated Node #3: [98, 4508] from Operation: 4590-82=4508 Current State: 46:[98, 4508], Operations: ['54*85=4590', '4590-82=4508'] Exploring Operation: 4508/98=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 39, 25, 28, 65 ]
78
[ "65-39=26", "28-25=3", "26*3=78" ]
Current State: 78:[39, 25, 28, 65], Operations: [] Exploring Operation: 65-39=26, Resulting Numbers: [25, 28, 26] Generated Node #2: [25, 28, 26] from Operation: 65-39=26 Current State: 78:[25, 28, 26], Operations: ['65-39=26'] Exploring Operation: 28-25=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 28-25=3 Current State: 78:[26, 3], Operations: ['65-39=26', '28-25=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 16, 21, 32, 38 ]
32
[ "16+21=37", "38-37=1", "32*1=32" ]
Current State: 32:[16, 21, 32, 38], Operations: [] Exploring Operation: 16+21=37, Resulting Numbers: [32, 38, 37] Generated Node #2: [32, 38, 37] from Operation: 16+21=37 Current State: 32:[32, 38, 37], Operations: ['16+21=37'] Exploring Operation: 38-37=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 38-37=1 Current State: 32:[32, 1], Operations: ['16+21=37', '38-37=1'] Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 74, 71, 30, 66 ]
80
[ "71-66=5", "30/5=6", "74+6=80" ]
Current State: 80:[74, 71, 30, 66], Operations: [] Exploring Operation: 71-66=5, Resulting Numbers: [74, 30, 5] Generated Node #2: [74, 30, 5] from Operation: 71-66=5 Current State: 80:[74, 30, 5], Operations: ['71-66=5'] Exploring Operation: 30/5=6, Resulting Numbers: [74, 6] Generated Node #3: [74, 6] from Operation: 30/5=6 Current State: 80:[74, 6], Operations: ['71-66=5', '30/5=6'] Exploring Operation: 74+6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 93, 78, 27, 28 ]
14
[ "93-78=15", "28-27=1", "15-1=14" ]
Current State: 14:[93, 78, 27, 28], Operations: [] Exploring Operation: 93-78=15, Resulting Numbers: [27, 28, 15] Generated Node #2: [27, 28, 15] from Operation: 93-78=15 Current State: 14:[27, 28, 15], Operations: ['93-78=15'] Exploring Operation: 28-27=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 28-27=1 Current State: 14:[15, 1], Operations: ['93-78=15', '28-27=1'] Exploring Operation: 15-1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 52, 34, 27, 94 ]
62
[ "52*34=1768", "1768-94=1674", "1674/27=62" ]
Current State: 62:[52, 34, 27, 94], Operations: [] Exploring Operation: 52*34=1768, Resulting Numbers: [27, 94, 1768] Generated Node #2: [27, 94, 1768] from Operation: 52*34=1768 Current State: 62:[27, 94, 1768], Operations: ['52*34=1768'] Exploring Operation: 1768-94=1674, Resulting Numbers: [27, 1674] Generated Node #3: [27, 1674] from Operation: 1768-94=1674 Current State: 62:[27, 1674], Operations: ['52*34=1768', '1768-94=1674'] Exploring Operation: 1674/27=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 9, 63, 4, 68 ]
29
[ "68-63=5", "4*5=20", "9+20=29" ]
Current State: 29:[9, 63, 4, 68], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [9, 4, 5] Generated Node #2: [9, 4, 5] from Operation: 68-63=5 Current State: 29:[9, 4, 5], Operations: ['68-63=5'] Exploring Operation: 4*5=20, Resulting Numbers: [9, 20] Generated Node #3: [9, 20] from Operation: 4*5=20 Current State: 29:[9, 20], Operations: ['68-63=5', '4*5=20'] Exploring Operation: 9+20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 79, 65, 94, 80 ]
28
[ "79-65=14", "94-80=14", "14+14=28" ]
Current State: 28:[79, 65, 94, 80], Operations: [] Exploring Operation: 79-65=14, Resulting Numbers: [94, 80, 14] Generated Node #2: [94, 80, 14] from Operation: 79-65=14 Current State: 28:[94, 80, 14], Operations: ['79-65=14'] Exploring Operation: 94-80=14, Resulting Numbers: [14, 14] Generated Node #3: [14, 14] from Operation: 94-80=14 Current State: 28:[14, 14], Operations: ['79-65=14', '94-80=14'] Exploring Operation: 14+14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 33, 2, 5, 9 ]
41
[ "9-5=4", "2*4=8", "33+8=41" ]
Current State: 41:[33, 2, 5, 9], Operations: [] Exploring Operation: 9-5=4, Resulting Numbers: [33, 2, 4] Generated Node #2: [33, 2, 4] from Operation: 9-5=4 Current State: 41:[33, 2, 4], Operations: ['9-5=4'] Exploring Operation: 2*4=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 2*4=8 Current State: 41:[33, 8], Operations: ['9-5=4', '2*4=8'] Exploring Operation: 33+8=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 97, 20, 5, 95 ]
10
[ "97-95=2", "5*2=10", "20-10=10" ]
Current State: 10:[97, 20, 5, 95], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [20, 5, 2] Generated Node #2: [20, 5, 2] from Operation: 97-95=2 Current State: 10:[20, 5, 2], Operations: ['97-95=2'] Exploring Operation: 5*2=10, Resulting Numbers: [20, 10] Generated Node #3: [20, 10] from Operation: 5*2=10 Current State: 10:[20, 10], Operations: ['97-95=2', '5*2=10'] Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 55, 2, 25, 74 ]
43
[ "55+25=80", "74/2=37", "80-37=43" ]
Current State: 43:[55, 2, 25, 74], Operations: [] Exploring Operation: 55+25=80, Resulting Numbers: [2, 74, 80] Generated Node #2: [2, 74, 80] from Operation: 55+25=80 Current State: 43:[2, 74, 80], Operations: ['55+25=80'] Exploring Operation: 74/2=37, Resulting Numbers: [80, 37] Generated Node #3: [80, 37] from Operation: 74/2=37 Current State: 43:[80, 37], Operations: ['55+25=80', '74/2=37'] Exploring Operation: 80-37=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 46, 82, 55 ]
71
[ "46-2=44", "82-55=27", "44+27=71" ]
Current State: 71:[2, 46, 82, 55], Operations: [] Exploring Operation: 46-2=44, Resulting Numbers: [82, 55, 44] Generated Node #2: [82, 55, 44] from Operation: 46-2=44 Current State: 71:[82, 55, 44], Operations: ['46-2=44'] Exploring Operation: 82-55=27, Resulting Numbers: [44, 27] Generated Node #3: [44, 27] from Operation: 82-55=27 Current State: 71:[44, 27], Operations: ['46-2=44', '82-55=27'] Exploring Operation: 44+27=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 86, 2, 49, 15 ]
67
[ "86-49=37", "2*15=30", "37+30=67" ]
Current State: 67:[86, 2, 49, 15], Operations: [] Exploring Operation: 86-49=37, Resulting Numbers: [2, 15, 37] Generated Node #2: [2, 15, 37] from Operation: 86-49=37 Current State: 67:[2, 15, 37], Operations: ['86-49=37'] Exploring Operation: 2*15=30, Resulting Numbers: [37, 30] Generated Node #3: [37, 30] from Operation: 2*15=30 Current State: 67:[37, 30], Operations: ['86-49=37', '2*15=30'] Exploring Operation: 37+30=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 18, 79, 13, 46 ]
25
[ "18-13=5", "79+46=125", "125/5=25" ]
Current State: 25:[18, 79, 13, 46], Operations: [] Exploring Operation: 18-13=5, Resulting Numbers: [79, 46, 5] Generated Node #2: [79, 46, 5] from Operation: 18-13=5 Current State: 25:[79, 46, 5], Operations: ['18-13=5'] Exploring Operation: 79+46=125, Resulting Numbers: [5, 125] Generated Node #3: [5, 125] from Operation: 79+46=125 Current State: 25:[5, 125], Operations: ['18-13=5', '79+46=125'] Exploring Operation: 125/5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 20, 9, 37, 7 ]
54
[ "9-7=2", "37*2=74", "74-20=54" ]
Current State: 54:[20, 9, 37, 7], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [20, 37, 2] Generated Node #2: [20, 37, 2] from Operation: 9-7=2 Current State: 54:[20, 37, 2], Operations: ['9-7=2'] Exploring Operation: 37*2=74, Resulting Numbers: [20, 74] Generated Node #3: [20, 74] from Operation: 37*2=74 Current State: 54:[20, 74], Operations: ['9-7=2', '37*2=74'] Exploring Operation: 74-20=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 4, 15, 74, 47 ]
82
[ "47-15=32", "32/4=8", "74+8=82" ]
Current State: 82:[4, 15, 74, 47], Operations: [] Exploring Operation: 47-15=32, Resulting Numbers: [4, 74, 32] Generated Node #2: [4, 74, 32] from Operation: 47-15=32 Current State: 82:[4, 74, 32], Operations: ['47-15=32'] Exploring Operation: 32/4=8, Resulting Numbers: [74, 8] Generated Node #3: [74, 8] from Operation: 32/4=8 Current State: 82:[74, 8], Operations: ['47-15=32', '32/4=8'] Exploring Operation: 74+8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 6, 90, 78, 8 ]
99
[ "78-6=72", "72/8=9", "90+9=99" ]
Current State: 99:[6, 90, 78, 8], Operations: [] Exploring Operation: 78-6=72, Resulting Numbers: [90, 8, 72] Generated Node #2: [90, 8, 72] from Operation: 78-6=72 Current State: 99:[90, 8, 72], Operations: ['78-6=72'] Exploring Operation: 72/8=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 72/8=9 Current State: 99:[90, 9], Operations: ['78-6=72', '72/8=9'] Exploring Operation: 90+9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 4, 96, 20, 51 ]
67
[ "4*20=80", "96+51=147", "147-80=67" ]
Current State: 67:[4, 96, 20, 51], Operations: [] Exploring Operation: 4*20=80, Resulting Numbers: [96, 51, 80] Generated Node #2: [96, 51, 80] from Operation: 4*20=80 Current State: 67:[96, 51, 80], Operations: ['4*20=80'] Exploring Operation: 96+51=147, Resulting Numbers: [80, 147] Generated Node #3: [80, 147] from Operation: 96+51=147 Current State: 67:[80, 147], Operations: ['4*20=80', '96+51=147'] Exploring Operation: 147-80=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 30, 61, 2, 5 ]
34
[ "61-30=31", "5-2=3", "31+3=34" ]
Current State: 34:[30, 61, 2, 5], Operations: [] Exploring Operation: 61-30=31, Resulting Numbers: [2, 5, 31] Generated Node #2: [2, 5, 31] from Operation: 61-30=31 Current State: 34:[2, 5, 31], Operations: ['61-30=31'] Exploring Operation: 5-2=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 5-2=3 Current State: 34:[31, 3], Operations: ['61-30=31', '5-2=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 78, 84, 2, 64 ]
60
[ "84-78=6", "2+64=66", "66-6=60" ]
Current State: 60:[78, 84, 2, 64], Operations: [] Exploring Operation: 84-78=6, Resulting Numbers: [2, 64, 6] Generated Node #2: [2, 64, 6] from Operation: 84-78=6 Current State: 60:[2, 64, 6], Operations: ['84-78=6'] Exploring Operation: 2+64=66, Resulting Numbers: [6, 66] Generated Node #3: [6, 66] from Operation: 2+64=66 Current State: 60:[6, 66], Operations: ['84-78=6', '2+64=66'] Exploring Operation: 66-6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 78, 89, 87, 3 ]
73
[ "89-78=11", "87-3=84", "84-11=73" ]
Current State: 73:[78, 89, 87, 3], Operations: [] Exploring Operation: 89-78=11, Resulting Numbers: [87, 3, 11] Generated Node #2: [87, 3, 11] from Operation: 89-78=11 Current State: 73:[87, 3, 11], Operations: ['89-78=11'] Exploring Operation: 87-3=84, Resulting Numbers: [11, 84] Generated Node #3: [11, 84] from Operation: 87-3=84 Current State: 73:[11, 84], Operations: ['89-78=11', '87-3=84'] Exploring Operation: 84-11=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 44, 86, 22, 75 ]
11
[ "86-44=42", "75-22=53", "53-42=11" ]
Current State: 11:[44, 86, 22, 75], Operations: [] Exploring Operation: 86-44=42, Resulting Numbers: [22, 75, 42] Generated Node #2: [22, 75, 42] from Operation: 86-44=42 Current State: 11:[22, 75, 42], Operations: ['86-44=42'] Exploring Operation: 75-22=53, Resulting Numbers: [42, 53] Generated Node #3: [42, 53] from Operation: 75-22=53 Current State: 11:[42, 53], Operations: ['86-44=42', '75-22=53'] Exploring Operation: 53-42=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 51, 19, 88, 3 ]
47
[ "19+3=22", "88/22=4", "51-4=47" ]
Current State: 47:[51, 19, 88, 3], Operations: [] Exploring Operation: 19+3=22, Resulting Numbers: [51, 88, 22] Generated Node #2: [51, 88, 22] from Operation: 19+3=22 Current State: 47:[51, 88, 22], Operations: ['19+3=22'] Exploring Operation: 88/22=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 88/22=4 Current State: 47:[51, 4], Operations: ['19+3=22', '88/22=4'] Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 39, 86, 50, 43 ]
32
[ "39+86=125", "50+43=93", "125-93=32" ]
Current State: 32:[39, 86, 50, 43], Operations: [] Exploring Operation: 39+86=125, Resulting Numbers: [50, 43, 125] Generated Node #2: [50, 43, 125] from Operation: 39+86=125 Current State: 32:[50, 43, 125], Operations: ['39+86=125'] Exploring Operation: 50+43=93, Resulting Numbers: [125, 93] Generated Node #3: [125, 93] from Operation: 50+43=93 Current State: 32:[125, 93], Operations: ['39+86=125', '50+43=93'] Exploring Operation: 125-93=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 2, 52, 97, 13 ]
81
[ "52+97=149", "13+149=162", "162/2=81" ]
Current State: 81:[2, 52, 97, 13], Operations: [] Exploring Operation: 52+97=149, Resulting Numbers: [2, 13, 149] Generated Node #2: [2, 13, 149] from Operation: 52+97=149 Current State: 81:[2, 13, 149], Operations: ['52+97=149'] Exploring Operation: 13+149=162, Resulting Numbers: [2, 162] Generated Node #3: [2, 162] from Operation: 13+149=162 Current State: 81:[2, 162], Operations: ['52+97=149', '13+149=162'] Exploring Operation: 162/2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 65, 2, 7, 43 ]
35
[ "7+43=50", "2*50=100", "100-65=35" ]
Current State: 35:[65, 2, 7, 43], Operations: [] Exploring Operation: 7+43=50, Resulting Numbers: [65, 2, 50] Generated Node #2: [65, 2, 50] from Operation: 7+43=50 Current State: 35:[65, 2, 50], Operations: ['7+43=50'] Exploring Operation: 2*50=100, Resulting Numbers: [65, 100] Generated Node #3: [65, 100] from Operation: 2*50=100 Current State: 35:[65, 100], Operations: ['7+43=50', '2*50=100'] Exploring Operation: 100-65=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 62, 60, 27, 14 ]
39
[ "62-60=2", "27+14=41", "41-2=39" ]
Current State: 39:[62, 60, 27, 14], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [27, 14, 2] Generated Node #2: [27, 14, 2] from Operation: 62-60=2 Current State: 39:[27, 14, 2], Operations: ['62-60=2'] Exploring Operation: 27+14=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 27+14=41 Current State: 39:[2, 41], Operations: ['62-60=2', '27+14=41'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 52, 90, 15, 35 ]
92
[ "52+90=142", "15+35=50", "142-50=92" ]
Current State: 92:[52, 90, 15, 35], Operations: [] Exploring Operation: 52+90=142, Resulting Numbers: [15, 35, 142] Generated Node #2: [15, 35, 142] from Operation: 52+90=142 Current State: 92:[15, 35, 142], Operations: ['52+90=142'] Exploring Operation: 15+35=50, Resulting Numbers: [142, 50] Generated Node #3: [142, 50] from Operation: 15+35=50 Current State: 92:[142, 50], Operations: ['52+90=142', '15+35=50'] Exploring Operation: 142-50=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 58, 23, 46, 94 ]
65
[ "58*23=1334", "1334/46=29", "94-29=65" ]
Current State: 65:[58, 23, 46, 94], Operations: [] Exploring Operation: 58*23=1334, Resulting Numbers: [46, 94, 1334] Generated Node #2: [46, 94, 1334] from Operation: 58*23=1334 Current State: 65:[46, 94, 1334], Operations: ['58*23=1334'] Exploring Operation: 1334/46=29, Resulting Numbers: [94, 29] Generated Node #3: [94, 29] from Operation: 1334/46=29 Current State: 65:[94, 29], Operations: ['58*23=1334', '1334/46=29'] Exploring Operation: 94-29=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 95, 12, 9, 88 ]
21
[ "95-88=7", "12-9=3", "7*3=21" ]
Current State: 21:[95, 12, 9, 88], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [12, 9, 7] Generated Node #2: [12, 9, 7] from Operation: 95-88=7 Current State: 21:[12, 9, 7], Operations: ['95-88=7'] Exploring Operation: 12-9=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 12-9=3 Current State: 21:[7, 3], Operations: ['95-88=7', '12-9=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 80, 20, 50, 73 ]
77
[ "80+20=100", "73-50=23", "100-23=77" ]
Current State: 77:[80, 20, 50, 73], Operations: [] Exploring Operation: 80+20=100, Resulting Numbers: [50, 73, 100] Generated Node #2: [50, 73, 100] from Operation: 80+20=100 Current State: 77:[50, 73, 100], Operations: ['80+20=100'] Exploring Operation: 73-50=23, Resulting Numbers: [100, 23] Generated Node #3: [100, 23] from Operation: 73-50=23 Current State: 77:[100, 23], Operations: ['80+20=100', '73-50=23'] Exploring Operation: 100-23=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 37, 11, 74, 40 ]
58
[ "74/37=2", "40-11=29", "2*29=58" ]
Current State: 58:[37, 11, 74, 40], Operations: [] Exploring Operation: 74/37=2, Resulting Numbers: [11, 40, 2] Generated Node #2: [11, 40, 2] from Operation: 74/37=2 Current State: 58:[11, 40, 2], Operations: ['74/37=2'] Exploring Operation: 40-11=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 40-11=29 Current State: 58:[2, 29], Operations: ['74/37=2', '40-11=29'] Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 12, 23, 67, 76 ]
44
[ "12+23=35", "76-67=9", "35+9=44" ]
Current State: 44:[12, 23, 67, 76], Operations: [] Exploring Operation: 12+23=35, Resulting Numbers: [67, 76, 35] Generated Node #2: [67, 76, 35] from Operation: 12+23=35 Current State: 44:[67, 76, 35], Operations: ['12+23=35'] Exploring Operation: 76-67=9, Resulting Numbers: [35, 9] Generated Node #3: [35, 9] from Operation: 76-67=9 Current State: 44:[35, 9], Operations: ['12+23=35', '76-67=9'] Exploring Operation: 35+9=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 47, 77, 21, 26 ]
35
[ "77-47=30", "26-21=5", "30+5=35" ]
Current State: 35:[47, 77, 21, 26], Operations: [] Exploring Operation: 77-47=30, Resulting Numbers: [21, 26, 30] Generated Node #2: [21, 26, 30] from Operation: 77-47=30 Current State: 35:[21, 26, 30], Operations: ['77-47=30'] Exploring Operation: 26-21=5, Resulting Numbers: [30, 5] Generated Node #3: [30, 5] from Operation: 26-21=5 Current State: 35:[30, 5], Operations: ['77-47=30', '26-21=5'] Exploring Operation: 30+5=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 36, 78, 48, 39 ]
27
[ "36+78=114", "48+39=87", "114-87=27" ]
Current State: 27:[36, 78, 48, 39], Operations: [] Exploring Operation: 36+78=114, Resulting Numbers: [48, 39, 114] Generated Node #2: [48, 39, 114] from Operation: 36+78=114 Current State: 27:[48, 39, 114], Operations: ['36+78=114'] Exploring Operation: 48+39=87, Resulting Numbers: [114, 87] Generated Node #3: [114, 87] from Operation: 48+39=87 Current State: 27:[114, 87], Operations: ['36+78=114', '48+39=87'] Exploring Operation: 114-87=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 16, 17, 4, 7 ]
20
[ "16/4=4", "17+7=24", "24-4=20" ]
Current State: 20:[16, 17, 4, 7], Operations: [] Exploring Operation: 16/4=4, Resulting Numbers: [17, 7, 4] Generated Node #2: [17, 7, 4] from Operation: 16/4=4 Current State: 20:[17, 7, 4], Operations: ['16/4=4'] Exploring Operation: 17+7=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 17+7=24 Current State: 20:[4, 24], Operations: ['16/4=4', '17+7=24'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 24, 10, 2, 32 ]
28
[ "32-24=8", "10*2=20", "8+20=28" ]
Current State: 28:[24, 10, 2, 32], Operations: [] Exploring Operation: 32-24=8, Resulting Numbers: [10, 2, 8] Generated Node #2: [10, 2, 8] from Operation: 32-24=8 Current State: 28:[10, 2, 8], Operations: ['32-24=8'] Exploring Operation: 10*2=20, Resulting Numbers: [8, 20] Generated Node #3: [8, 20] from Operation: 10*2=20 Current State: 28:[8, 20], Operations: ['32-24=8', '10*2=20'] Exploring Operation: 8+20=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 72, 75, 7, 90 ]
69
[ "72+75=147", "147/7=21", "90-21=69" ]
Current State: 69:[72, 75, 7, 90], Operations: [] Exploring Operation: 72+75=147, Resulting Numbers: [7, 90, 147] Generated Node #2: [7, 90, 147] from Operation: 72+75=147 Current State: 69:[7, 90, 147], Operations: ['72+75=147'] Exploring Operation: 147/7=21, Resulting Numbers: [90, 21] Generated Node #3: [90, 21] from Operation: 147/7=21 Current State: 69:[90, 21], Operations: ['72+75=147', '147/7=21'] Exploring Operation: 90-21=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 24, 62, 10, 36 ]
84
[ "62-24=38", "10+36=46", "38+46=84" ]
Current State: 84:[24, 62, 10, 36], Operations: [] Exploring Operation: 62-24=38, Resulting Numbers: [10, 36, 38] Generated Node #2: [10, 36, 38] from Operation: 62-24=38 Current State: 84:[10, 36, 38], Operations: ['62-24=38'] Exploring Operation: 10+36=46, Resulting Numbers: [38, 46] Generated Node #3: [38, 46] from Operation: 10+36=46 Current State: 84:[38, 46], Operations: ['62-24=38', '10+36=46'] Exploring Operation: 38+46=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 50, 2, 8, 49 ]
35
[ "50-8=42", "2*42=84", "84-49=35" ]
Current State: 35:[50, 2, 8, 49], Operations: [] Exploring Operation: 50-8=42, Resulting Numbers: [2, 49, 42] Generated Node #2: [2, 49, 42] from Operation: 50-8=42 Current State: 35:[2, 49, 42], Operations: ['50-8=42'] Exploring Operation: 2*42=84, Resulting Numbers: [49, 84] Generated Node #3: [49, 84] from Operation: 2*42=84 Current State: 35:[49, 84], Operations: ['50-8=42', '2*42=84'] Exploring Operation: 84-49=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 11, 27, 81 ]
58
[ "11-7=4", "81-27=54", "4+54=58" ]
Current State: 58:[7, 11, 27, 81], Operations: [] Exploring Operation: 11-7=4, Resulting Numbers: [27, 81, 4] Generated Node #2: [27, 81, 4] from Operation: 11-7=4 Current State: 58:[27, 81, 4], Operations: ['11-7=4'] Exploring Operation: 81-27=54, Resulting Numbers: [4, 54] Generated Node #3: [4, 54] from Operation: 81-27=54 Current State: 58:[4, 54], Operations: ['11-7=4', '81-27=54'] Exploring Operation: 4+54=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 71, 60, 90, 14 ]
92
[ "90*14=1260", "1260/60=21", "71+21=92" ]
Current State: 92:[71, 60, 90, 14], Operations: [] Exploring Operation: 90*14=1260, Resulting Numbers: [71, 60, 1260] Generated Node #2: [71, 60, 1260] from Operation: 90*14=1260 Current State: 92:[71, 60, 1260], Operations: ['90*14=1260'] Exploring Operation: 1260/60=21, Resulting Numbers: [71, 21] Generated Node #3: [71, 21] from Operation: 1260/60=21 Current State: 92:[71, 21], Operations: ['90*14=1260', '1260/60=21'] Exploring Operation: 71+21=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 48, 52, 48, 27 ]
52
[ "48-48=0", "27*0=0", "52+0=52" ]
Current State: 52:[48, 52, 48, 27], Operations: [] Exploring Operation: 48-48=0, Resulting Numbers: [52, 27, 0] Generated Node #2: [52, 27, 0] from Operation: 48-48=0 Current State: 52:[52, 27, 0], Operations: ['48-48=0'] Exploring Operation: 27*0=0, Resulting Numbers: [52, 0] Generated Node #3: [52, 0] from Operation: 27*0=0 Current State: 52:[52, 0], Operations: ['48-48=0', '27*0=0'] Exploring Operation: 52+0=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 19, 80, 16 ]
75
[ "2+19=21", "80+16=96", "96-21=75" ]
Current State: 75:[2, 19, 80, 16], Operations: [] Exploring Operation: 2+19=21, Resulting Numbers: [80, 16, 21] Generated Node #2: [80, 16, 21] from Operation: 2+19=21 Current State: 75:[80, 16, 21], Operations: ['2+19=21'] Exploring Operation: 80+16=96, Resulting Numbers: [21, 96] Generated Node #3: [21, 96] from Operation: 80+16=96 Current State: 75:[21, 96], Operations: ['2+19=21', '80+16=96'] Exploring Operation: 96-21=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 70, 30, 99, 33 ]
43
[ "70-30=40", "99/33=3", "40+3=43" ]
Current State: 43:[70, 30, 99, 33], Operations: [] Exploring Operation: 70-30=40, Resulting Numbers: [99, 33, 40] Generated Node #2: [99, 33, 40] from Operation: 70-30=40 Current State: 43:[99, 33, 40], Operations: ['70-30=40'] Exploring Operation: 99/33=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 99/33=3 Current State: 43:[40, 3], Operations: ['70-30=40', '99/33=3'] Exploring Operation: 40+3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 35, 85, 26, 46 ]
22
[ "85-35=50", "26+46=72", "72-50=22" ]
Current State: 22:[35, 85, 26, 46], Operations: [] Exploring Operation: 85-35=50, Resulting Numbers: [26, 46, 50] Generated Node #2: [26, 46, 50] from Operation: 85-35=50 Current State: 22:[26, 46, 50], Operations: ['85-35=50'] Exploring Operation: 26+46=72, Resulting Numbers: [50, 72] Generated Node #3: [50, 72] from Operation: 26+46=72 Current State: 22:[50, 72], Operations: ['85-35=50', '26+46=72'] Exploring Operation: 72-50=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 79, 33, 75, 8 ]
65
[ "79-75=4", "8*4=32", "33+32=65" ]
Current State: 65:[79, 33, 75, 8], Operations: [] Exploring Operation: 79-75=4, Resulting Numbers: [33, 8, 4] Generated Node #2: [33, 8, 4] from Operation: 79-75=4 Current State: 65:[33, 8, 4], Operations: ['79-75=4'] Exploring Operation: 8*4=32, Resulting Numbers: [33, 32] Generated Node #3: [33, 32] from Operation: 8*4=32 Current State: 65:[33, 32], Operations: ['79-75=4', '8*4=32'] Exploring Operation: 33+32=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 3, 24, 78, 13 ]
70
[ "24-3=21", "78+13=91", "91-21=70" ]
Current State: 70:[3, 24, 78, 13], Operations: [] Exploring Operation: 24-3=21, Resulting Numbers: [78, 13, 21] Generated Node #2: [78, 13, 21] from Operation: 24-3=21 Current State: 70:[78, 13, 21], Operations: ['24-3=21'] Exploring Operation: 78+13=91, Resulting Numbers: [21, 91] Generated Node #3: [21, 91] from Operation: 78+13=91 Current State: 70:[21, 91], Operations: ['24-3=21', '78+13=91'] Exploring Operation: 91-21=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 71, 15, 36, 80 ]
60
[ "71-15=56", "36+80=116", "116-56=60" ]
Current State: 60:[71, 15, 36, 80], Operations: [] Exploring Operation: 71-15=56, Resulting Numbers: [36, 80, 56] Generated Node #2: [36, 80, 56] from Operation: 71-15=56 Current State: 60:[36, 80, 56], Operations: ['71-15=56'] Exploring Operation: 36+80=116, Resulting Numbers: [56, 116] Generated Node #3: [56, 116] from Operation: 36+80=116 Current State: 60:[56, 116], Operations: ['71-15=56', '36+80=116'] Exploring Operation: 116-56=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 34, 93, 75, 96 ]
38
[ "93-34=59", "96-75=21", "59-21=38" ]
Current State: 38:[34, 93, 75, 96], Operations: [] Exploring Operation: 93-34=59, Resulting Numbers: [75, 96, 59] Generated Node #2: [75, 96, 59] from Operation: 93-34=59 Current State: 38:[75, 96, 59], Operations: ['93-34=59'] Exploring Operation: 96-75=21, Resulting Numbers: [59, 21] Generated Node #3: [59, 21] from Operation: 96-75=21 Current State: 38:[59, 21], Operations: ['93-34=59', '96-75=21'] Exploring Operation: 59-21=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 71, 62, 69, 78 ]
18
[ "71-62=9", "78-69=9", "9+9=18" ]
Current State: 18:[71, 62, 69, 78], Operations: [] Exploring Operation: 71-62=9, Resulting Numbers: [69, 78, 9] Generated Node #2: [69, 78, 9] from Operation: 71-62=9 Current State: 18:[69, 78, 9], Operations: ['71-62=9'] Exploring Operation: 78-69=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 78-69=9 Current State: 18:[9, 9], Operations: ['71-62=9', '78-69=9'] Exploring Operation: 9+9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4