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
[ 11, 90, 92, 51 ]
38
[ "90-11=79", "92-51=41", "79-41=38" ]
Current State: 38:[11, 90, 92, 51], Operations: [] Exploring Operation: 90-11=79, Resulting Numbers: [92, 51, 79] Generated Node #2: [92, 51, 79] from Operation: 90-11=79 Current State: 38:[92, 51, 79], Operations: ['90-11=79'] Exploring Operation: 92-51=41, Resulting Numbers: [79, 41] Generated Node #3: [79, 41] from Operation: 92-51=41 Current State: 38:[79, 41], Operations: ['90-11=79', '92-51=41'] Exploring Operation: 79-41=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 83, 80, 37, 53 ]
48
[ "83-80=3", "53-37=16", "3*16=48" ]
Current State: 48:[83, 80, 37, 53], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [37, 53, 3] Generated Node #2: [37, 53, 3] from Operation: 83-80=3 Current State: 48:[37, 53, 3], Operations: ['83-80=3'] Exploring Operation: 53-37=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 53-37=16 Current State: 48:[3, 16], Operations: ['83-80=3', '53-37=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 18, 99, 83, 13 ]
47
[ "18+99=117", "83-13=70", "117-70=47" ]
Current State: 47:[18, 99, 83, 13], Operations: [] Exploring Operation: 18+99=117, Resulting Numbers: [83, 13, 117] Generated Node #2: [83, 13, 117] from Operation: 18+99=117 Current State: 47:[83, 13, 117], Operations: ['18+99=117'] Exploring Operation: 83-13=70, Resulting Numbers: [117, 70] Generated Node #3: [117, 70] from Operation: 83-13=70 Current State: 47:[117, 70], Operations: ['18+99=117', '83-13=70'] Exploring Operation: 117-70=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 20, 53, 59, 53 ]
67
[ "20+53=73", "59-53=6", "73-6=67" ]
Current State: 67:[20, 53, 59, 53], Operations: [] Exploring Operation: 20+53=73, Resulting Numbers: [59, 73] Generated Node #2: [59, 73] from Operation: 20+53=73 Current State: 67:[59, 73], Operations: ['20+53=73'] Exploring Operation: 59-53=6, Resulting Numbers: [73, 6] Generated Node #3: [73, 6] from Operation: 59-53=6 Current State: 67:[73, 6], Operations: ['20+53=73', '59-53=6'] Exploring Operation: 73-6=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 71, 91, 36, 13 ]
29
[ "91-71=20", "36+13=49", "49-20=29" ]
Current State: 29:[71, 91, 36, 13], Operations: [] Exploring Operation: 91-71=20, Resulting Numbers: [36, 13, 20] Generated Node #2: [36, 13, 20] from Operation: 91-71=20 Current State: 29:[36, 13, 20], Operations: ['91-71=20'] Exploring Operation: 36+13=49, Resulting Numbers: [20, 49] Generated Node #3: [20, 49] from Operation: 36+13=49 Current State: 29:[20, 49], Operations: ['91-71=20', '36+13=49'] Exploring Operation: 49-20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 38, 4, 36, 57 ]
20
[ "38*36=1368", "1368/57=24", "24-4=20" ]
Current State: 20:[38, 4, 36, 57], Operations: [] Exploring Operation: 38*36=1368, Resulting Numbers: [4, 57, 1368] Generated Node #2: [4, 57, 1368] from Operation: 38*36=1368 Current State: 20:[4, 57, 1368], Operations: ['38*36=1368'] Exploring Operation: 1368/57=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 1368/57=24 Current State: 20:[4, 24], Operations: ['38*36=1368', '1368/57=24'] Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 77, 29, 75, 72 ]
70
[ "77-72=5", "29*5=145", "145-75=70" ]
Current State: 70:[77, 29, 75, 72], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [29, 75, 5] Generated Node #2: [29, 75, 5] from Operation: 77-72=5 Current State: 70:[29, 75, 5], Operations: ['77-72=5'] Exploring Operation: 29*5=145, Resulting Numbers: [75, 145] Generated Node #3: [75, 145] from Operation: 29*5=145 Current State: 70:[75, 145], Operations: ['77-72=5', '29*5=145'] Exploring Operation: 145-75=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 56, 33, 41, 4 ]
44
[ "56+33=89", "41+4=45", "89-45=44" ]
Current State: 44:[56, 33, 41, 4], Operations: [] Exploring Operation: 56+33=89, Resulting Numbers: [41, 4, 89] Generated Node #2: [41, 4, 89] from Operation: 56+33=89 Current State: 44:[41, 4, 89], Operations: ['56+33=89'] Exploring Operation: 41+4=45, Resulting Numbers: [89, 45] Generated Node #3: [89, 45] from Operation: 41+4=45 Current State: 44:[89, 45], Operations: ['56+33=89', '41+4=45'] Exploring Operation: 89-45=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 9, 1, 80, 5 ]
77
[ "9-1=8", "80+5=85", "85-8=77" ]
Current State: 77:[9, 1, 80, 5], Operations: [] Exploring Operation: 9-1=8, Resulting Numbers: [80, 5, 8] Generated Node #2: [80, 5, 8] from Operation: 9-1=8 Current State: 77:[80, 5, 8], Operations: ['9-1=8'] Exploring Operation: 80+5=85, Resulting Numbers: [8, 85] Generated Node #3: [8, 85] from Operation: 80+5=85 Current State: 77:[8, 85], Operations: ['9-1=8', '80+5=85'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 80, 94, 92, 37 ]
45
[ "80+94=174", "92+37=129", "174-129=45" ]
Current State: 45:[80, 94, 92, 37], Operations: [] Exploring Operation: 80+94=174, Resulting Numbers: [92, 37, 174] Generated Node #2: [92, 37, 174] from Operation: 80+94=174 Current State: 45:[92, 37, 174], Operations: ['80+94=174'] Exploring Operation: 92+37=129, Resulting Numbers: [174, 129] Generated Node #3: [174, 129] from Operation: 92+37=129 Current State: 45:[174, 129], Operations: ['80+94=174', '92+37=129'] Exploring Operation: 174-129=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 52, 9, 21, 9 ]
13
[ "52-9=43", "21+9=30", "43-30=13" ]
Current State: 13:[52, 9, 21, 9], Operations: [] Exploring Operation: 52-9=43, Resulting Numbers: [21, 43] Generated Node #2: [21, 43] from Operation: 52-9=43 Current State: 13:[21, 43], Operations: ['52-9=43'] Exploring Operation: 21+9=30, Resulting Numbers: [43, 30] Generated Node #3: [43, 30] from Operation: 21+9=30 Current State: 13:[43, 30], Operations: ['52-9=43', '21+9=30'] Exploring Operation: 43-30=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 80, 48, 57, 2 ]
91
[ "80-48=32", "57+2=59", "32+59=91" ]
Current State: 91:[80, 48, 57, 2], Operations: [] Exploring Operation: 80-48=32, Resulting Numbers: [57, 2, 32] Generated Node #2: [57, 2, 32] from Operation: 80-48=32 Current State: 91:[57, 2, 32], Operations: ['80-48=32'] Exploring Operation: 57+2=59, Resulting Numbers: [32, 59] Generated Node #3: [32, 59] from Operation: 57+2=59 Current State: 91:[32, 59], Operations: ['80-48=32', '57+2=59'] Exploring Operation: 32+59=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 18, 25, 42, 63 ]
72
[ "25+42=67", "67-63=4", "18*4=72" ]
Current State: 72:[18, 25, 42, 63], Operations: [] Exploring Operation: 25+42=67, Resulting Numbers: [18, 63, 67] Generated Node #2: [18, 63, 67] from Operation: 25+42=67 Current State: 72:[18, 63, 67], Operations: ['25+42=67'] Exploring Operation: 67-63=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 67-63=4 Current State: 72:[18, 4], Operations: ['25+42=67', '67-63=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 34, 94, 57, 94 ]
90
[ "34+57=91", "94/94=1", "91-1=90" ]
Current State: 90:[34, 94, 57, 94], Operations: [] Exploring Operation: 34+57=91, Resulting Numbers: [94, 94, 91] Generated Node #2: [94, 94, 91] from Operation: 34+57=91 Current State: 90:[94, 94, 91], Operations: ['34+57=91'] Exploring Operation: 94/94=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 94/94=1 Current State: 90:[91, 1], Operations: ['34+57=91', '94/94=1'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 42, 19, 99, 75 ]
37
[ "42+19=61", "99-75=24", "61-24=37" ]
Current State: 37:[42, 19, 99, 75], Operations: [] Exploring Operation: 42+19=61, Resulting Numbers: [99, 75, 61] Generated Node #2: [99, 75, 61] from Operation: 42+19=61 Current State: 37:[99, 75, 61], Operations: ['42+19=61'] Exploring Operation: 99-75=24, Resulting Numbers: [61, 24] Generated Node #3: [61, 24] from Operation: 99-75=24 Current State: 37:[61, 24], Operations: ['42+19=61', '99-75=24'] Exploring Operation: 61-24=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 16, 91, 4, 41 ]
54
[ "16/4=4", "91-41=50", "4+50=54" ]
Current State: 54:[16, 91, 4, 41], Operations: [] Exploring Operation: 16/4=4, Resulting Numbers: [91, 41, 4] Generated Node #2: [91, 41, 4] from Operation: 16/4=4 Current State: 54:[91, 41, 4], Operations: ['16/4=4'] Exploring Operation: 91-41=50, Resulting Numbers: [4, 50] Generated Node #3: [4, 50] from Operation: 91-41=50 Current State: 54:[4, 50], Operations: ['16/4=4', '91-41=50'] Exploring Operation: 4+50=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 84, 65, 39, 52 ]
81
[ "65+52=117", "117/39=3", "84-3=81" ]
Current State: 81:[84, 65, 39, 52], Operations: [] Exploring Operation: 65+52=117, Resulting Numbers: [84, 39, 117] Generated Node #2: [84, 39, 117] from Operation: 65+52=117 Current State: 81:[84, 39, 117], Operations: ['65+52=117'] Exploring Operation: 117/39=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 117/39=3 Current State: 81:[84, 3], Operations: ['65+52=117', '117/39=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 21, 12, 1, 23 ]
11
[ "21+12=33", "23-1=22", "33-22=11" ]
Current State: 11:[21, 12, 1, 23], Operations: [] Exploring Operation: 21+12=33, Resulting Numbers: [1, 23, 33] Generated Node #2: [1, 23, 33] from Operation: 21+12=33 Current State: 11:[1, 23, 33], Operations: ['21+12=33'] Exploring Operation: 23-1=22, Resulting Numbers: [33, 22] Generated Node #3: [33, 22] from Operation: 23-1=22 Current State: 11:[33, 22], Operations: ['21+12=33', '23-1=22'] Exploring Operation: 33-22=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 95, 67, 65, 82 ]
15
[ "95+67=162", "65+82=147", "162-147=15" ]
Current State: 15:[95, 67, 65, 82], Operations: [] Exploring Operation: 95+67=162, Resulting Numbers: [65, 82, 162] Generated Node #2: [65, 82, 162] from Operation: 95+67=162 Current State: 15:[65, 82, 162], Operations: ['95+67=162'] Exploring Operation: 65+82=147, Resulting Numbers: [162, 147] Generated Node #3: [162, 147] from Operation: 65+82=147 Current State: 15:[162, 147], Operations: ['95+67=162', '65+82=147'] Exploring Operation: 162-147=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 3, 49, 71, 16 ]
56
[ "49+71=120", "120/3=40", "16+40=56" ]
Current State: 56:[3, 49, 71, 16], Operations: [] Exploring Operation: 49+71=120, Resulting Numbers: [3, 16, 120] Generated Node #2: [3, 16, 120] from Operation: 49+71=120 Current State: 56:[3, 16, 120], Operations: ['49+71=120'] Exploring Operation: 120/3=40, Resulting Numbers: [16, 40] Generated Node #3: [16, 40] from Operation: 120/3=40 Current State: 56:[16, 40], Operations: ['49+71=120', '120/3=40'] Exploring Operation: 16+40=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 82, 18, 73, 45 ]
23
[ "82-73=9", "45/9=5", "18+5=23" ]
Current State: 23:[82, 18, 73, 45], Operations: [] Exploring Operation: 82-73=9, Resulting Numbers: [18, 45, 9] Generated Node #2: [18, 45, 9] from Operation: 82-73=9 Current State: 23:[18, 45, 9], Operations: ['82-73=9'] Exploring Operation: 45/9=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 45/9=5 Current State: 23:[18, 5], Operations: ['82-73=9', '45/9=5'] Exploring Operation: 18+5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 19, 65, 75, 72 ]
58
[ "72-65=7", "19*7=133", "133-75=58" ]
Current State: 58:[19, 65, 75, 72], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [19, 75, 7] Generated Node #2: [19, 75, 7] from Operation: 72-65=7 Current State: 58:[19, 75, 7], Operations: ['72-65=7'] Exploring Operation: 19*7=133, Resulting Numbers: [75, 133] Generated Node #3: [75, 133] from Operation: 19*7=133 Current State: 58:[75, 133], Operations: ['72-65=7', '19*7=133'] Exploring Operation: 133-75=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 33, 5, 43, 30 ]
80
[ "43-33=10", "5*10=50", "30+50=80" ]
Current State: 80:[33, 5, 43, 30], Operations: [] Exploring Operation: 43-33=10, Resulting Numbers: [5, 30, 10] Generated Node #2: [5, 30, 10] from Operation: 43-33=10 Current State: 80:[5, 30, 10], Operations: ['43-33=10'] Exploring Operation: 5*10=50, Resulting Numbers: [30, 50] Generated Node #3: [30, 50] from Operation: 5*10=50 Current State: 80:[30, 50], Operations: ['43-33=10', '5*10=50'] Exploring Operation: 30+50=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 60, 56, 57, 91 ]
32
[ "60+56=116", "57+91=148", "148-116=32" ]
Current State: 32:[60, 56, 57, 91], Operations: [] Exploring Operation: 60+56=116, Resulting Numbers: [57, 91, 116] Generated Node #2: [57, 91, 116] from Operation: 60+56=116 Current State: 32:[57, 91, 116], Operations: ['60+56=116'] Exploring Operation: 57+91=148, Resulting Numbers: [116, 148] Generated Node #3: [116, 148] from Operation: 57+91=148 Current State: 32:[116, 148], Operations: ['60+56=116', '57+91=148'] Exploring Operation: 148-116=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 54, 14, 26, 52 ]
33
[ "54-52=2", "14/2=7", "26+7=33" ]
Current State: 33:[54, 14, 26, 52], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [14, 26, 2] Generated Node #2: [14, 26, 2] from Operation: 54-52=2 Current State: 33:[14, 26, 2], Operations: ['54-52=2'] Exploring Operation: 14/2=7, Resulting Numbers: [26, 7] Generated Node #3: [26, 7] from Operation: 14/2=7 Current State: 33:[26, 7], Operations: ['54-52=2', '14/2=7'] Exploring Operation: 26+7=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 62, 91, 62, 22 ]
69
[ "62+91=153", "62+22=84", "153-84=69" ]
Current State: 69:[62, 91, 62, 22], Operations: [] Exploring Operation: 62+91=153, Resulting Numbers: [22, 153] Generated Node #2: [22, 153] from Operation: 62+91=153 Current State: 69:[22, 153], Operations: ['62+91=153'] Exploring Operation: 62+22=84, Resulting Numbers: [153, 84] Generated Node #3: [153, 84] from Operation: 62+22=84 Current State: 69:[153, 84], Operations: ['62+91=153', '62+22=84'] Exploring Operation: 153-84=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 78, 83, 13, 89 ]
60
[ "89-78=11", "13*11=143", "143-83=60" ]
Current State: 60:[78, 83, 13, 89], Operations: [] Exploring Operation: 89-78=11, Resulting Numbers: [83, 13, 11] Generated Node #2: [83, 13, 11] from Operation: 89-78=11 Current State: 60:[83, 13, 11], Operations: ['89-78=11'] Exploring Operation: 13*11=143, Resulting Numbers: [83, 143] Generated Node #3: [83, 143] from Operation: 13*11=143 Current State: 60:[83, 143], Operations: ['89-78=11', '13*11=143'] Exploring Operation: 143-83=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 9, 71, 62, 19 ]
37
[ "9+71=80", "62-19=43", "80-43=37" ]
Current State: 37:[9, 71, 62, 19], Operations: [] Exploring Operation: 9+71=80, Resulting Numbers: [62, 19, 80] Generated Node #2: [62, 19, 80] from Operation: 9+71=80 Current State: 37:[62, 19, 80], Operations: ['9+71=80'] Exploring Operation: 62-19=43, Resulting Numbers: [80, 43] Generated Node #3: [80, 43] from Operation: 62-19=43 Current State: 37:[80, 43], Operations: ['9+71=80', '62-19=43'] Exploring Operation: 80-43=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 42, 10, 54 ]
59
[ "54/2=27", "42-10=32", "27+32=59" ]
Current State: 59:[2, 42, 10, 54], Operations: [] Exploring Operation: 54/2=27, Resulting Numbers: [42, 10, 27] Generated Node #2: [42, 10, 27] from Operation: 54/2=27 Current State: 59:[42, 10, 27], Operations: ['54/2=27'] Exploring Operation: 42-10=32, Resulting Numbers: [27, 32] Generated Node #3: [27, 32] from Operation: 42-10=32 Current State: 59:[27, 32], Operations: ['54/2=27', '42-10=32'] Exploring Operation: 27+32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 94, 87, 70, 78 ]
68
[ "94-87=7", "70/7=10", "78-10=68" ]
Current State: 68:[94, 87, 70, 78], Operations: [] Exploring Operation: 94-87=7, Resulting Numbers: [70, 78, 7] Generated Node #2: [70, 78, 7] from Operation: 94-87=7 Current State: 68:[70, 78, 7], Operations: ['94-87=7'] Exploring Operation: 70/7=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 70/7=10 Current State: 68:[78, 10], Operations: ['94-87=7', '70/7=10'] Exploring Operation: 78-10=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 72, 70, 8, 10 ]
66
[ "8+10=18", "72/18=4", "70-4=66" ]
Current State: 66:[72, 70, 8, 10], Operations: [] Exploring Operation: 8+10=18, Resulting Numbers: [72, 70, 18] Generated Node #2: [72, 70, 18] from Operation: 8+10=18 Current State: 66:[72, 70, 18], Operations: ['8+10=18'] Exploring Operation: 72/18=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 72/18=4 Current State: 66:[70, 4], Operations: ['8+10=18', '72/18=4'] Exploring Operation: 70-4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 3, 59, 8, 45 ]
19
[ "59-3=56", "45-8=37", "56-37=19" ]
Current State: 19:[3, 59, 8, 45], Operations: [] Exploring Operation: 59-3=56, Resulting Numbers: [8, 45, 56] Generated Node #2: [8, 45, 56] from Operation: 59-3=56 Current State: 19:[8, 45, 56], Operations: ['59-3=56'] Exploring Operation: 45-8=37, Resulting Numbers: [56, 37] Generated Node #3: [56, 37] from Operation: 45-8=37 Current State: 19:[56, 37], Operations: ['59-3=56', '45-8=37'] Exploring Operation: 56-37=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 34, 79, 32, 3 ]
27
[ "34+79=113", "113-32=81", "81/3=27" ]
Current State: 27:[34, 79, 32, 3], Operations: [] Exploring Operation: 34+79=113, Resulting Numbers: [32, 3, 113] Generated Node #2: [32, 3, 113] from Operation: 34+79=113 Current State: 27:[32, 3, 113], Operations: ['34+79=113'] Exploring Operation: 113-32=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 113-32=81 Current State: 27:[3, 81], Operations: ['34+79=113', '113-32=81'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 77, 10, 36, 99 ]
38
[ "77*36=2772", "2772/99=28", "10+28=38" ]
Current State: 38:[77, 10, 36, 99], Operations: [] Exploring Operation: 77*36=2772, Resulting Numbers: [10, 99, 2772] Generated Node #2: [10, 99, 2772] from Operation: 77*36=2772 Current State: 38:[10, 99, 2772], Operations: ['77*36=2772'] Exploring Operation: 2772/99=28, Resulting Numbers: [10, 28] Generated Node #3: [10, 28] from Operation: 2772/99=28 Current State: 38:[10, 28], Operations: ['77*36=2772', '2772/99=28'] Exploring Operation: 10+28=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 14, 49, 46, 42 ]
44
[ "49-42=7", "14/7=2", "46-2=44" ]
Current State: 44:[14, 49, 46, 42], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [14, 46, 7] Generated Node #2: [14, 46, 7] from Operation: 49-42=7 Current State: 44:[14, 46, 7], Operations: ['49-42=7'] Exploring Operation: 14/7=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 14/7=2 Current State: 44:[46, 2], Operations: ['49-42=7', '14/7=2'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 28, 6, 94, 16 ]
100
[ "28-6=22", "94-16=78", "22+78=100" ]
Current State: 100:[28, 6, 94, 16], Operations: [] Exploring Operation: 28-6=22, Resulting Numbers: [94, 16, 22] Generated Node #2: [94, 16, 22] from Operation: 28-6=22 Current State: 100:[94, 16, 22], Operations: ['28-6=22'] Exploring Operation: 94-16=78, Resulting Numbers: [22, 78] Generated Node #3: [22, 78] from Operation: 94-16=78 Current State: 100:[22, 78], Operations: ['28-6=22', '94-16=78'] Exploring Operation: 22+78=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 14, 60, 21, 13 ]
39
[ "14-13=1", "60-21=39", "1*39=39" ]
Current State: 39:[14, 60, 21, 13], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [60, 21, 1] Generated Node #2: [60, 21, 1] from Operation: 14-13=1 Current State: 39:[60, 21, 1], Operations: ['14-13=1'] Exploring Operation: 60-21=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 60-21=39 Current State: 39:[1, 39], Operations: ['14-13=1', '60-21=39'] Exploring Operation: 1*39=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 68, 27, 30, 33 ]
34
[ "68*30=2040", "27+33=60", "2040/60=34" ]
Current State: 34:[68, 27, 30, 33], Operations: [] Exploring Operation: 68*30=2040, Resulting Numbers: [27, 33, 2040] Generated Node #2: [27, 33, 2040] from Operation: 68*30=2040 Current State: 34:[27, 33, 2040], Operations: ['68*30=2040'] Exploring Operation: 27+33=60, Resulting Numbers: [2040, 60] Generated Node #3: [2040, 60] from Operation: 27+33=60 Current State: 34:[2040, 60], Operations: ['68*30=2040', '27+33=60'] Exploring Operation: 2040/60=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 92, 46, 23 ]
14
[ "5*46=230", "92+230=322", "322/23=14" ]
Current State: 14:[5, 92, 46, 23], Operations: [] Exploring Operation: 5*46=230, Resulting Numbers: [92, 23, 230] Generated Node #2: [92, 23, 230] from Operation: 5*46=230 Current State: 14:[92, 23, 230], Operations: ['5*46=230'] Exploring Operation: 92+230=322, Resulting Numbers: [23, 322] Generated Node #3: [23, 322] from Operation: 92+230=322 Current State: 14:[23, 322], Operations: ['5*46=230', '92+230=322'] Exploring Operation: 322/23=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 7, 36, 18 ]
25
[ "13+36=49", "49/7=7", "18+7=25" ]
Current State: 25:[13, 7, 36, 18], Operations: [] Exploring Operation: 13+36=49, Resulting Numbers: [7, 18, 49] Generated Node #2: [7, 18, 49] from Operation: 13+36=49 Current State: 25:[7, 18, 49], Operations: ['13+36=49'] Exploring Operation: 49/7=7, Resulting Numbers: [18, 7] Generated Node #3: [18, 7] from Operation: 49/7=7 Current State: 25:[18, 7], Operations: ['13+36=49', '49/7=7'] Exploring Operation: 18+7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 58, 49, 11, 58 ]
61
[ "58/58=1", "49+11=60", "1+60=61" ]
Current State: 61:[58, 49, 11, 58], Operations: [] Exploring Operation: 58/58=1, Resulting Numbers: [49, 11, 1] Generated Node #2: [49, 11, 1] from Operation: 58/58=1 Current State: 61:[49, 11, 1], Operations: ['58/58=1'] Exploring Operation: 49+11=60, Resulting Numbers: [1, 60] Generated Node #3: [1, 60] from Operation: 49+11=60 Current State: 61:[1, 60], Operations: ['58/58=1', '49+11=60'] Exploring Operation: 1+60=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 20, 7, 50, 28 ]
18
[ "20+50=70", "70/7=10", "28-10=18" ]
Current State: 18:[20, 7, 50, 28], Operations: [] Exploring Operation: 20+50=70, Resulting Numbers: [7, 28, 70] Generated Node #2: [7, 28, 70] from Operation: 20+50=70 Current State: 18:[7, 28, 70], Operations: ['20+50=70'] Exploring Operation: 70/7=10, Resulting Numbers: [28, 10] Generated Node #3: [28, 10] from Operation: 70/7=10 Current State: 18:[28, 10], Operations: ['20+50=70', '70/7=10'] Exploring Operation: 28-10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 42, 3, 99, 49 ]
89
[ "42-3=39", "99-49=50", "39+50=89" ]
Current State: 89:[42, 3, 99, 49], Operations: [] Exploring Operation: 42-3=39, Resulting Numbers: [99, 49, 39] Generated Node #2: [99, 49, 39] from Operation: 42-3=39 Current State: 89:[99, 49, 39], Operations: ['42-3=39'] Exploring Operation: 99-49=50, Resulting Numbers: [39, 50] Generated Node #3: [39, 50] from Operation: 99-49=50 Current State: 89:[39, 50], Operations: ['42-3=39', '99-49=50'] Exploring Operation: 39+50=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 49, 14, 7, 94 ]
53
[ "94-49=45", "14*7=98", "98-45=53" ]
Current State: 53:[49, 14, 7, 94], Operations: [] Exploring Operation: 94-49=45, Resulting Numbers: [14, 7, 45] Generated Node #2: [14, 7, 45] from Operation: 94-49=45 Current State: 53:[14, 7, 45], Operations: ['94-49=45'] Exploring Operation: 14*7=98, Resulting Numbers: [45, 98] Generated Node #3: [45, 98] from Operation: 14*7=98 Current State: 53:[45, 98], Operations: ['94-49=45', '14*7=98'] Exploring Operation: 98-45=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 24, 26, 44, 69 ]
50
[ "26-24=2", "69-44=25", "2*25=50" ]
Current State: 50:[24, 26, 44, 69], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [44, 69, 2] Generated Node #2: [44, 69, 2] from Operation: 26-24=2 Current State: 50:[44, 69, 2], Operations: ['26-24=2'] Exploring Operation: 69-44=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 69-44=25 Current State: 50:[2, 25], Operations: ['26-24=2', '69-44=25'] Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 5, 58, 2, 56 ]
17
[ "58/2=29", "56+29=85", "85/5=17" ]
Current State: 17:[5, 58, 2, 56], Operations: [] Exploring Operation: 58/2=29, Resulting Numbers: [5, 56, 29] Generated Node #2: [5, 56, 29] from Operation: 58/2=29 Current State: 17:[5, 56, 29], Operations: ['58/2=29'] Exploring Operation: 56+29=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 56+29=85 Current State: 17:[5, 85], Operations: ['58/2=29', '56+29=85'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 50, 61, 24, 65 ]
30
[ "61-50=11", "65-24=41", "41-11=30" ]
Current State: 30:[50, 61, 24, 65], Operations: [] Exploring Operation: 61-50=11, Resulting Numbers: [24, 65, 11] Generated Node #2: [24, 65, 11] from Operation: 61-50=11 Current State: 30:[24, 65, 11], Operations: ['61-50=11'] Exploring Operation: 65-24=41, Resulting Numbers: [11, 41] Generated Node #3: [11, 41] from Operation: 65-24=41 Current State: 30:[11, 41], Operations: ['61-50=11', '65-24=41'] Exploring Operation: 41-11=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 85, 6, 16 ]
22
[ "6*16=96", "96-85=11", "2*11=22" ]
Current State: 22:[2, 85, 6, 16], Operations: [] Exploring Operation: 6*16=96, Resulting Numbers: [2, 85, 96] Generated Node #2: [2, 85, 96] from Operation: 6*16=96 Current State: 22:[2, 85, 96], Operations: ['6*16=96'] Exploring Operation: 96-85=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 96-85=11 Current State: 22:[2, 11], Operations: ['6*16=96', '96-85=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 47, 51, 38, 56 ]
72
[ "51-47=4", "56-38=18", "4*18=72" ]
Current State: 72:[47, 51, 38, 56], Operations: [] Exploring Operation: 51-47=4, Resulting Numbers: [38, 56, 4] Generated Node #2: [38, 56, 4] from Operation: 51-47=4 Current State: 72:[38, 56, 4], Operations: ['51-47=4'] Exploring Operation: 56-38=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 56-38=18 Current State: 72:[4, 18], Operations: ['51-47=4', '56-38=18'] Exploring Operation: 4*18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 29, 7, 54, 63 ]
92
[ "29+54=83", "63/7=9", "83+9=92" ]
Current State: 92:[29, 7, 54, 63], Operations: [] Exploring Operation: 29+54=83, Resulting Numbers: [7, 63, 83] Generated Node #2: [7, 63, 83] from Operation: 29+54=83 Current State: 92:[7, 63, 83], Operations: ['29+54=83'] Exploring Operation: 63/7=9, Resulting Numbers: [83, 9] Generated Node #3: [83, 9] from Operation: 63/7=9 Current State: 92:[83, 9], Operations: ['29+54=83', '63/7=9'] Exploring Operation: 83+9=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 54, 60, 51, 43 ]
20
[ "54+60=114", "51+43=94", "114-94=20" ]
Current State: 20:[54, 60, 51, 43], Operations: [] Exploring Operation: 54+60=114, Resulting Numbers: [51, 43, 114] Generated Node #2: [51, 43, 114] from Operation: 54+60=114 Current State: 20:[51, 43, 114], Operations: ['54+60=114'] Exploring Operation: 51+43=94, Resulting Numbers: [114, 94] Generated Node #3: [114, 94] from Operation: 51+43=94 Current State: 20:[114, 94], Operations: ['54+60=114', '51+43=94'] Exploring Operation: 114-94=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 47, 5, 59, 74 ]
57
[ "47-5=42", "74-59=15", "42+15=57" ]
Current State: 57:[47, 5, 59, 74], Operations: [] Exploring Operation: 47-5=42, Resulting Numbers: [59, 74, 42] Generated Node #2: [59, 74, 42] from Operation: 47-5=42 Current State: 57:[59, 74, 42], Operations: ['47-5=42'] Exploring Operation: 74-59=15, Resulting Numbers: [42, 15] Generated Node #3: [42, 15] from Operation: 74-59=15 Current State: 57:[42, 15], Operations: ['47-5=42', '74-59=15'] Exploring Operation: 42+15=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 4, 57, 95, 83 ]
54
[ "95-83=12", "12/4=3", "57-3=54" ]
Current State: 54:[4, 57, 95, 83], Operations: [] Exploring Operation: 95-83=12, Resulting Numbers: [4, 57, 12] Generated Node #2: [4, 57, 12] from Operation: 95-83=12 Current State: 54:[4, 57, 12], Operations: ['95-83=12'] Exploring Operation: 12/4=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 12/4=3 Current State: 54:[57, 3], Operations: ['95-83=12', '12/4=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 69, 50, 48, 19 ]
100
[ "69-48=21", "21-19=2", "50*2=100" ]
Current State: 100:[69, 50, 48, 19], Operations: [] Exploring Operation: 69-48=21, Resulting Numbers: [50, 19, 21] Generated Node #2: [50, 19, 21] from Operation: 69-48=21 Current State: 100:[50, 19, 21], Operations: ['69-48=21'] Exploring Operation: 21-19=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 21-19=2 Current State: 100:[50, 2], Operations: ['69-48=21', '21-19=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 28, 56, 60, 14 ]
37
[ "56/28=2", "60+14=74", "74/2=37" ]
Current State: 37:[28, 56, 60, 14], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [60, 14, 2] Generated Node #2: [60, 14, 2] from Operation: 56/28=2 Current State: 37:[60, 14, 2], Operations: ['56/28=2'] Exploring Operation: 60+14=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 60+14=74 Current State: 37:[2, 74], Operations: ['56/28=2', '60+14=74'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 6, 92, 90, 90 ]
51
[ "92-90=2", "90/2=45", "6+45=51" ]
Current State: 51:[6, 92, 90, 90], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [6, 2] Generated Node #2: [6, 2] from Operation: 92-90=2 Current State: 51:[6, 2], Operations: ['92-90=2'] Exploring Operation: 90/2=45, Resulting Numbers: [6, 45] Generated Node #3: [6, 45] from Operation: 90/2=45 Current State: 51:[6, 45], Operations: ['92-90=2', '90/2=45'] Exploring Operation: 6+45=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 37, 44, 37, 93 ]
29
[ "37*37=1369", "1369-93=1276", "1276/44=29" ]
Current State: 29:[37, 44, 37, 93], Operations: [] Exploring Operation: 37*37=1369, Resulting Numbers: [44, 93, 1369] Generated Node #2: [44, 93, 1369] from Operation: 37*37=1369 Current State: 29:[44, 93, 1369], Operations: ['37*37=1369'] Exploring Operation: 1369-93=1276, Resulting Numbers: [44, 1276] Generated Node #3: [44, 1276] from Operation: 1369-93=1276 Current State: 29:[44, 1276], Operations: ['37*37=1369', '1369-93=1276'] Exploring Operation: 1276/44=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 14, 20, 62, 8 ]
12
[ "14+20=34", "62+34=96", "96/8=12" ]
Current State: 12:[14, 20, 62, 8], Operations: [] Exploring Operation: 14+20=34, Resulting Numbers: [62, 8, 34] Generated Node #2: [62, 8, 34] from Operation: 14+20=34 Current State: 12:[62, 8, 34], Operations: ['14+20=34'] Exploring Operation: 62+34=96, Resulting Numbers: [8, 96] Generated Node #3: [8, 96] from Operation: 62+34=96 Current State: 12:[8, 96], Operations: ['14+20=34', '62+34=96'] Exploring Operation: 96/8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 58, 61, 22, 38 ]
92
[ "61-58=3", "38*3=114", "114-22=92" ]
Current State: 92:[58, 61, 22, 38], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [22, 38, 3] Generated Node #2: [22, 38, 3] from Operation: 61-58=3 Current State: 92:[22, 38, 3], Operations: ['61-58=3'] Exploring Operation: 38*3=114, Resulting Numbers: [22, 114] Generated Node #3: [22, 114] from Operation: 38*3=114 Current State: 92:[22, 114], Operations: ['61-58=3', '38*3=114'] Exploring Operation: 114-22=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 73, 2, 94, 82 ]
63
[ "73+2=75", "94-82=12", "75-12=63" ]
Current State: 63:[73, 2, 94, 82], Operations: [] Exploring Operation: 73+2=75, Resulting Numbers: [94, 82, 75] Generated Node #2: [94, 82, 75] from Operation: 73+2=75 Current State: 63:[94, 82, 75], Operations: ['73+2=75'] Exploring Operation: 94-82=12, Resulting Numbers: [75, 12] Generated Node #3: [75, 12] from Operation: 94-82=12 Current State: 63:[75, 12], Operations: ['73+2=75', '94-82=12'] Exploring Operation: 75-12=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 9, 62, 76, 68 ]
45
[ "62-9=53", "76-68=8", "53-8=45" ]
Current State: 45:[9, 62, 76, 68], Operations: [] Exploring Operation: 62-9=53, Resulting Numbers: [76, 68, 53] Generated Node #2: [76, 68, 53] from Operation: 62-9=53 Current State: 45:[76, 68, 53], Operations: ['62-9=53'] Exploring Operation: 76-68=8, Resulting Numbers: [53, 8] Generated Node #3: [53, 8] from Operation: 76-68=8 Current State: 45:[53, 8], Operations: ['62-9=53', '76-68=8'] Exploring Operation: 53-8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 26, 37, 15, 2 ]
39
[ "26+37=63", "15+63=78", "78/2=39" ]
Current State: 39:[26, 37, 15, 2], Operations: [] Exploring Operation: 26+37=63, Resulting Numbers: [15, 2, 63] Generated Node #2: [15, 2, 63] from Operation: 26+37=63 Current State: 39:[15, 2, 63], Operations: ['26+37=63'] Exploring Operation: 15+63=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 15+63=78 Current State: 39:[2, 78], Operations: ['26+37=63', '15+63=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 75, 3, 85, 20 ]
24
[ "75+85=160", "3*160=480", "480/20=24" ]
Current State: 24:[75, 3, 85, 20], Operations: [] Exploring Operation: 75+85=160, Resulting Numbers: [3, 20, 160] Generated Node #2: [3, 20, 160] from Operation: 75+85=160 Current State: 24:[3, 20, 160], Operations: ['75+85=160'] Exploring Operation: 3*160=480, Resulting Numbers: [20, 480] Generated Node #3: [20, 480] from Operation: 3*160=480 Current State: 24:[20, 480], Operations: ['75+85=160', '3*160=480'] Exploring Operation: 480/20=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 88, 3, 6, 90 ]
93
[ "3*6=18", "90/18=5", "88+5=93" ]
Current State: 93:[88, 3, 6, 90], Operations: [] Exploring Operation: 3*6=18, Resulting Numbers: [88, 90, 18] Generated Node #2: [88, 90, 18] from Operation: 3*6=18 Current State: 93:[88, 90, 18], Operations: ['3*6=18'] Exploring Operation: 90/18=5, Resulting Numbers: [88, 5] Generated Node #3: [88, 5] from Operation: 90/18=5 Current State: 93:[88, 5], Operations: ['3*6=18', '90/18=5'] Exploring Operation: 88+5=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 81, 66, 41, 7 ]
19
[ "81-66=15", "41-7=34", "34-15=19" ]
Current State: 19:[81, 66, 41, 7], Operations: [] Exploring Operation: 81-66=15, Resulting Numbers: [41, 7, 15] Generated Node #2: [41, 7, 15] from Operation: 81-66=15 Current State: 19:[41, 7, 15], Operations: ['81-66=15'] Exploring Operation: 41-7=34, Resulting Numbers: [15, 34] Generated Node #3: [15, 34] from Operation: 41-7=34 Current State: 19:[15, 34], Operations: ['81-66=15', '41-7=34'] Exploring Operation: 34-15=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 60, 56, 80, 4 ]
91
[ "60+80=140", "140/4=35", "56+35=91" ]
Current State: 91:[60, 56, 80, 4], Operations: [] Exploring Operation: 60+80=140, Resulting Numbers: [56, 4, 140] Generated Node #2: [56, 4, 140] from Operation: 60+80=140 Current State: 91:[56, 4, 140], Operations: ['60+80=140'] Exploring Operation: 140/4=35, Resulting Numbers: [56, 35] Generated Node #3: [56, 35] from Operation: 140/4=35 Current State: 91:[56, 35], Operations: ['60+80=140', '140/4=35'] Exploring Operation: 56+35=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 78, 69, 12, 72 ]
14
[ "72-69=3", "78/3=26", "26-12=14" ]
Current State: 14:[78, 69, 12, 72], Operations: [] Exploring Operation: 72-69=3, Resulting Numbers: [78, 12, 3] Generated Node #2: [78, 12, 3] from Operation: 72-69=3 Current State: 14:[78, 12, 3], Operations: ['72-69=3'] Exploring Operation: 78/3=26, Resulting Numbers: [12, 26] Generated Node #3: [12, 26] from Operation: 78/3=26 Current State: 14:[12, 26], Operations: ['72-69=3', '78/3=26'] Exploring Operation: 26-12=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 4, 53, 37, 77 ]
89
[ "53-4=49", "77-37=40", "49+40=89" ]
Current State: 89:[4, 53, 37, 77], Operations: [] Exploring Operation: 53-4=49, Resulting Numbers: [37, 77, 49] Generated Node #2: [37, 77, 49] from Operation: 53-4=49 Current State: 89:[37, 77, 49], Operations: ['53-4=49'] Exploring Operation: 77-37=40, Resulting Numbers: [49, 40] Generated Node #3: [49, 40] from Operation: 77-37=40 Current State: 89:[49, 40], Operations: ['53-4=49', '77-37=40'] Exploring Operation: 49+40=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 65, 75, 75, 80 ]
67
[ "75-65=10", "80/10=8", "75-8=67" ]
Current State: 67:[65, 75, 75, 80], Operations: [] Exploring Operation: 75-65=10, Resulting Numbers: [80, 10] Generated Node #2: [80, 10] from Operation: 75-65=10 Current State: 67:[80, 10], Operations: ['75-65=10'] Exploring Operation: 80/10=8, Resulting Numbers: [8] 8,67 equal: Goal Reached Exploring Operation: 75-8=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 60, 7, 3, 34 ]
19
[ "7-3=4", "60/4=15", "34-15=19" ]
Current State: 19:[60, 7, 3, 34], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [60, 34, 4] Generated Node #2: [60, 34, 4] from Operation: 7-3=4 Current State: 19:[60, 34, 4], Operations: ['7-3=4'] Exploring Operation: 60/4=15, Resulting Numbers: [34, 15] Generated Node #3: [34, 15] from Operation: 60/4=15 Current State: 19:[34, 15], Operations: ['7-3=4', '60/4=15'] Exploring Operation: 34-15=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 44, 77, 55, 74 ]
71
[ "77+55=132", "132/44=3", "74-3=71" ]
Current State: 71:[44, 77, 55, 74], Operations: [] Exploring Operation: 77+55=132, Resulting Numbers: [44, 74, 132] Generated Node #2: [44, 74, 132] from Operation: 77+55=132 Current State: 71:[44, 74, 132], Operations: ['77+55=132'] Exploring Operation: 132/44=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 132/44=3 Current State: 71:[74, 3], Operations: ['77+55=132', '132/44=3'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 63, 13, 58, 2 ]
79
[ "63-13=50", "58/2=29", "50+29=79" ]
Current State: 79:[63, 13, 58, 2], Operations: [] Exploring Operation: 63-13=50, Resulting Numbers: [58, 2, 50] Generated Node #2: [58, 2, 50] from Operation: 63-13=50 Current State: 79:[58, 2, 50], Operations: ['63-13=50'] Exploring Operation: 58/2=29, Resulting Numbers: [50, 29] Generated Node #3: [50, 29] from Operation: 58/2=29 Current State: 79:[50, 29], Operations: ['63-13=50', '58/2=29'] Exploring Operation: 50+29=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 51, 17, 44, 64 ]
74
[ "51-17=34", "44+64=108", "108-34=74" ]
Current State: 74:[51, 17, 44, 64], Operations: [] Exploring Operation: 51-17=34, Resulting Numbers: [44, 64, 34] Generated Node #2: [44, 64, 34] from Operation: 51-17=34 Current State: 74:[44, 64, 34], Operations: ['51-17=34'] Exploring Operation: 44+64=108, Resulting Numbers: [34, 108] Generated Node #3: [34, 108] from Operation: 44+64=108 Current State: 74:[34, 108], Operations: ['51-17=34', '44+64=108'] Exploring Operation: 108-34=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 66, 50, 15, 56 ]
57
[ "66-50=16", "56-15=41", "16+41=57" ]
Current State: 57:[66, 50, 15, 56], Operations: [] Exploring Operation: 66-50=16, Resulting Numbers: [15, 56, 16] Generated Node #2: [15, 56, 16] from Operation: 66-50=16 Current State: 57:[15, 56, 16], Operations: ['66-50=16'] Exploring Operation: 56-15=41, Resulting Numbers: [16, 41] Generated Node #3: [16, 41] from Operation: 56-15=41 Current State: 57:[16, 41], Operations: ['66-50=16', '56-15=41'] Exploring Operation: 16+41=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 84, 11, 2, 5 ]
36
[ "84/2=42", "11-5=6", "42-6=36" ]
Current State: 36:[84, 11, 2, 5], Operations: [] Exploring Operation: 84/2=42, Resulting Numbers: [11, 5, 42] Generated Node #2: [11, 5, 42] from Operation: 84/2=42 Current State: 36:[11, 5, 42], Operations: ['84/2=42'] Exploring Operation: 11-5=6, Resulting Numbers: [42, 6] Generated Node #3: [42, 6] from Operation: 11-5=6 Current State: 36:[42, 6], Operations: ['84/2=42', '11-5=6'] Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 13, 37, 1, 32 ]
81
[ "13+37=50", "32-1=31", "50+31=81" ]
Current State: 81:[13, 37, 1, 32], Operations: [] Exploring Operation: 13+37=50, Resulting Numbers: [1, 32, 50] Generated Node #2: [1, 32, 50] from Operation: 13+37=50 Current State: 81:[1, 32, 50], Operations: ['13+37=50'] Exploring Operation: 32-1=31, Resulting Numbers: [50, 31] Generated Node #3: [50, 31] from Operation: 32-1=31 Current State: 81:[50, 31], Operations: ['13+37=50', '32-1=31'] Exploring Operation: 50+31=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 13, 14, 78, 18 ]
33
[ "13+14=27", "78-18=60", "60-27=33" ]
Current State: 33:[13, 14, 78, 18], Operations: [] Exploring Operation: 13+14=27, Resulting Numbers: [78, 18, 27] Generated Node #2: [78, 18, 27] from Operation: 13+14=27 Current State: 33:[78, 18, 27], Operations: ['13+14=27'] Exploring Operation: 78-18=60, Resulting Numbers: [27, 60] Generated Node #3: [27, 60] from Operation: 78-18=60 Current State: 33:[27, 60], Operations: ['13+14=27', '78-18=60'] Exploring Operation: 60-27=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 29, 34, 75, 83 ]
98
[ "34-29=5", "75/5=15", "83+15=98" ]
Current State: 98:[29, 34, 75, 83], Operations: [] Exploring Operation: 34-29=5, Resulting Numbers: [75, 83, 5] Generated Node #2: [75, 83, 5] from Operation: 34-29=5 Current State: 98:[75, 83, 5], Operations: ['34-29=5'] Exploring Operation: 75/5=15, Resulting Numbers: [83, 15] Generated Node #3: [83, 15] from Operation: 75/5=15 Current State: 98:[83, 15], Operations: ['34-29=5', '75/5=15'] Exploring Operation: 83+15=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 19, 13, 57, 60 ]
85
[ "19+13=32", "57+60=117", "117-32=85" ]
Current State: 85:[19, 13, 57, 60], Operations: [] Exploring Operation: 19+13=32, Resulting Numbers: [57, 60, 32] Generated Node #2: [57, 60, 32] from Operation: 19+13=32 Current State: 85:[57, 60, 32], Operations: ['19+13=32'] Exploring Operation: 57+60=117, Resulting Numbers: [32, 117] Generated Node #3: [32, 117] from Operation: 57+60=117 Current State: 85:[32, 117], Operations: ['19+13=32', '57+60=117'] Exploring Operation: 117-32=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 46, 96, 68, 70 ]
99
[ "68+70=138", "138/46=3", "96+3=99" ]
Current State: 99:[46, 96, 68, 70], Operations: [] Exploring Operation: 68+70=138, Resulting Numbers: [46, 96, 138] Generated Node #2: [46, 96, 138] from Operation: 68+70=138 Current State: 99:[46, 96, 138], Operations: ['68+70=138'] Exploring Operation: 138/46=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 138/46=3 Current State: 99:[96, 3], Operations: ['68+70=138', '138/46=3'] Exploring Operation: 96+3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 87, 17, 17, 94 ]
27
[ "87+17=104", "94-17=77", "104-77=27" ]
Current State: 27:[87, 17, 17, 94], Operations: [] Exploring Operation: 87+17=104, Resulting Numbers: [94, 104] Generated Node #2: [94, 104] from Operation: 87+17=104 Current State: 27:[94, 104], Operations: ['87+17=104'] Exploring Operation: 94-17=77, Resulting Numbers: [104, 77] Generated Node #3: [104, 77] from Operation: 94-17=77 Current State: 27:[104, 77], Operations: ['87+17=104', '94-17=77'] Exploring Operation: 104-77=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 4, 49, 36, 60 ]
25
[ "36+60=96", "96/4=24", "49-24=25" ]
Current State: 25:[4, 49, 36, 60], Operations: [] Exploring Operation: 36+60=96, Resulting Numbers: [4, 49, 96] Generated Node #2: [4, 49, 96] from Operation: 36+60=96 Current State: 25:[4, 49, 96], Operations: ['36+60=96'] Exploring Operation: 96/4=24, Resulting Numbers: [49, 24] Generated Node #3: [49, 24] from Operation: 96/4=24 Current State: 25:[49, 24], Operations: ['36+60=96', '96/4=24'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 24, 39, 29, 26 ]
65
[ "24*39=936", "936/26=36", "29+36=65" ]
Current State: 65:[24, 39, 29, 26], Operations: [] Exploring Operation: 24*39=936, Resulting Numbers: [29, 26, 936] Generated Node #2: [29, 26, 936] from Operation: 24*39=936 Current State: 65:[29, 26, 936], Operations: ['24*39=936'] Exploring Operation: 936/26=36, Resulting Numbers: [29, 36] Generated Node #3: [29, 36] from Operation: 936/26=36 Current State: 65:[29, 36], Operations: ['24*39=936', '936/26=36'] Exploring Operation: 29+36=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 37, 45, 86, 28 ]
66
[ "45-37=8", "86-28=58", "8+58=66" ]
Current State: 66:[37, 45, 86, 28], Operations: [] Exploring Operation: 45-37=8, Resulting Numbers: [86, 28, 8] Generated Node #2: [86, 28, 8] from Operation: 45-37=8 Current State: 66:[86, 28, 8], Operations: ['45-37=8'] Exploring Operation: 86-28=58, Resulting Numbers: [8, 58] Generated Node #3: [8, 58] from Operation: 86-28=58 Current State: 66:[8, 58], Operations: ['45-37=8', '86-28=58'] Exploring Operation: 8+58=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 44, 51, 24, 6 ]
18
[ "51-44=7", "6*7=42", "42-24=18" ]
Current State: 18:[44, 51, 24, 6], Operations: [] Exploring Operation: 51-44=7, Resulting Numbers: [24, 6, 7] Generated Node #2: [24, 6, 7] from Operation: 51-44=7 Current State: 18:[24, 6, 7], Operations: ['51-44=7'] Exploring Operation: 6*7=42, Resulting Numbers: [24, 42] Generated Node #3: [24, 42] from Operation: 6*7=42 Current State: 18:[24, 42], Operations: ['51-44=7', '6*7=42'] Exploring Operation: 42-24=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 66, 58, 47, 12 ]
27
[ "66-58=8", "47-12=35", "35-8=27" ]
Current State: 27:[66, 58, 47, 12], Operations: [] Exploring Operation: 66-58=8, Resulting Numbers: [47, 12, 8] Generated Node #2: [47, 12, 8] from Operation: 66-58=8 Current State: 27:[47, 12, 8], Operations: ['66-58=8'] Exploring Operation: 47-12=35, Resulting Numbers: [8, 35] Generated Node #3: [8, 35] from Operation: 47-12=35 Current State: 27:[8, 35], Operations: ['66-58=8', '47-12=35'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 1, 81, 57, 26 ]
51
[ "1+81=82", "57-26=31", "82-31=51" ]
Current State: 51:[1, 81, 57, 26], Operations: [] Exploring Operation: 1+81=82, Resulting Numbers: [57, 26, 82] Generated Node #2: [57, 26, 82] from Operation: 1+81=82 Current State: 51:[57, 26, 82], Operations: ['1+81=82'] Exploring Operation: 57-26=31, Resulting Numbers: [82, 31] Generated Node #3: [82, 31] from Operation: 57-26=31 Current State: 51:[82, 31], Operations: ['1+81=82', '57-26=31'] Exploring Operation: 82-31=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 82, 9, 80, 88 ]
53
[ "82-80=2", "88/2=44", "9+44=53" ]
Current State: 53:[82, 9, 80, 88], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [9, 88, 2] Generated Node #2: [9, 88, 2] from Operation: 82-80=2 Current State: 53:[9, 88, 2], Operations: ['82-80=2'] Exploring Operation: 88/2=44, Resulting Numbers: [9, 44] Generated Node #3: [9, 44] from Operation: 88/2=44 Current State: 53:[9, 44], Operations: ['82-80=2', '88/2=44'] Exploring Operation: 9+44=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 80, 90, 50, 36 ]
76
[ "90-80=10", "50+36=86", "86-10=76" ]
Current State: 76:[80, 90, 50, 36], Operations: [] Exploring Operation: 90-80=10, Resulting Numbers: [50, 36, 10] Generated Node #2: [50, 36, 10] from Operation: 90-80=10 Current State: 76:[50, 36, 10], Operations: ['90-80=10'] Exploring Operation: 50+36=86, Resulting Numbers: [10, 86] Generated Node #3: [10, 86] from Operation: 50+36=86 Current State: 76:[10, 86], Operations: ['90-80=10', '50+36=86'] Exploring Operation: 86-10=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 51, 43, 33, 75 ]
14
[ "51+43=94", "33+75=108", "108-94=14" ]
Current State: 14:[51, 43, 33, 75], Operations: [] Exploring Operation: 51+43=94, Resulting Numbers: [33, 75, 94] Generated Node #2: [33, 75, 94] from Operation: 51+43=94 Current State: 14:[33, 75, 94], Operations: ['51+43=94'] Exploring Operation: 33+75=108, Resulting Numbers: [94, 108] Generated Node #3: [94, 108] from Operation: 33+75=108 Current State: 14:[94, 108], Operations: ['51+43=94', '33+75=108'] Exploring Operation: 108-94=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 68, 7, 64, 14 ]
70
[ "68-64=4", "14-4=10", "7*10=70" ]
Current State: 70:[68, 7, 64, 14], Operations: [] Exploring Operation: 68-64=4, Resulting Numbers: [7, 14, 4] Generated Node #2: [7, 14, 4] from Operation: 68-64=4 Current State: 70:[7, 14, 4], Operations: ['68-64=4'] Exploring Operation: 14-4=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 14-4=10 Current State: 70:[7, 10], Operations: ['68-64=4', '14-4=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 95, 53, 48, 19 ]
71
[ "95-53=42", "48-19=29", "42+29=71" ]
Current State: 71:[95, 53, 48, 19], Operations: [] Exploring Operation: 95-53=42, Resulting Numbers: [48, 19, 42] Generated Node #2: [48, 19, 42] from Operation: 95-53=42 Current State: 71:[48, 19, 42], Operations: ['95-53=42'] Exploring Operation: 48-19=29, Resulting Numbers: [42, 29] Generated Node #3: [42, 29] from Operation: 48-19=29 Current State: 71:[42, 29], Operations: ['95-53=42', '48-19=29'] Exploring Operation: 42+29=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 48, 5, 10, 12 ]
75
[ "48+5=53", "10+12=22", "53+22=75" ]
Current State: 75:[48, 5, 10, 12], Operations: [] Exploring Operation: 48+5=53, Resulting Numbers: [10, 12, 53] Generated Node #2: [10, 12, 53] from Operation: 48+5=53 Current State: 75:[10, 12, 53], Operations: ['48+5=53'] Exploring Operation: 10+12=22, Resulting Numbers: [53, 22] Generated Node #3: [53, 22] from Operation: 10+12=22 Current State: 75:[53, 22], Operations: ['48+5=53', '10+12=22'] Exploring Operation: 53+22=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 6, 42, 2 ]
80
[ "6-2=4", "42*2=84", "84-4=80" ]
Current State: 80:[2, 6, 42, 2], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [42, 4] Generated Node #2: [42, 4] from Operation: 6-2=4 Current State: 80:[42, 4], Operations: ['6-2=4'] Exploring Operation: 42*2=84, Resulting Numbers: [4, 84] Generated Node #3: [4, 84] from Operation: 42*2=84 Current State: 80:[4, 84], Operations: ['6-2=4', '42*2=84'] Exploring Operation: 84-4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 38, 16, 29, 6 ]
13
[ "38-16=22", "29+6=35", "35-22=13" ]
Current State: 13:[38, 16, 29, 6], Operations: [] Exploring Operation: 38-16=22, Resulting Numbers: [29, 6, 22] Generated Node #2: [29, 6, 22] from Operation: 38-16=22 Current State: 13:[29, 6, 22], Operations: ['38-16=22'] Exploring Operation: 29+6=35, Resulting Numbers: [22, 35] Generated Node #3: [22, 35] from Operation: 29+6=35 Current State: 13:[22, 35], Operations: ['38-16=22', '29+6=35'] Exploring Operation: 35-22=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 27, 21, 9, 39 ]
81
[ "27+21=48", "48-39=9", "9*9=81" ]
Current State: 81:[27, 21, 9, 39], Operations: [] Exploring Operation: 27+21=48, Resulting Numbers: [9, 39, 48] Generated Node #2: [9, 39, 48] from Operation: 27+21=48 Current State: 81:[9, 39, 48], Operations: ['27+21=48'] Exploring Operation: 48-39=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 48-39=9 Current State: 81:[9, 9], Operations: ['27+21=48', '48-39=9'] Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 99, 88, 99, 54 ]
33
[ "99/99=1", "88-54=34", "34-1=33" ]
Current State: 33:[99, 88, 99, 54], Operations: [] Exploring Operation: 99/99=1, Resulting Numbers: [88, 54, 1] Generated Node #2: [88, 54, 1] from Operation: 99/99=1 Current State: 33:[88, 54, 1], Operations: ['99/99=1'] Exploring Operation: 88-54=34, Resulting Numbers: [1, 34] Generated Node #3: [1, 34] from Operation: 88-54=34 Current State: 33:[1, 34], Operations: ['99/99=1', '88-54=34'] Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 19, 13, 75, 72 ]
35
[ "19+13=32", "75-72=3", "32+3=35" ]
Current State: 35:[19, 13, 75, 72], Operations: [] Exploring Operation: 19+13=32, Resulting Numbers: [75, 72, 32] Generated Node #2: [75, 72, 32] from Operation: 19+13=32 Current State: 35:[75, 72, 32], Operations: ['19+13=32'] Exploring Operation: 75-72=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 75-72=3 Current State: 35:[32, 3], Operations: ['19+13=32', '75-72=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 6, 74, 34, 30 ]
12
[ "74+34=108", "108/6=18", "30-18=12" ]
Current State: 12:[6, 74, 34, 30], Operations: [] Exploring Operation: 74+34=108, Resulting Numbers: [6, 30, 108] Generated Node #2: [6, 30, 108] from Operation: 74+34=108 Current State: 12:[6, 30, 108], Operations: ['74+34=108'] Exploring Operation: 108/6=18, Resulting Numbers: [30, 18] Generated Node #3: [30, 18] from Operation: 108/6=18 Current State: 12:[30, 18], Operations: ['74+34=108', '108/6=18'] Exploring Operation: 30-18=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 85, 56, 17, 56 ]
69
[ "85-17=68", "56/56=1", "68+1=69" ]
Current State: 69:[85, 56, 17, 56], Operations: [] Exploring Operation: 85-17=68, Resulting Numbers: [56, 56, 68] Generated Node #2: [56, 56, 68] from Operation: 85-17=68 Current State: 69:[56, 56, 68], Operations: ['85-17=68'] Exploring Operation: 56/56=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 56/56=1 Current State: 69:[68, 1], Operations: ['85-17=68', '56/56=1'] Exploring Operation: 68+1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4