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
[ 32, 57, 4, 28 ]
23
[ "32+57=89", "4*28=112", "112-89=23" ]
Current State: 23:[32, 57, 4, 28], Operations: [] Exploring Operation: 32+57=89, Resulting Numbers: [4, 28, 89] Generated Node #2: [4, 28, 89] from Operation: 32+57=89 Current State: 23:[4, 28, 89], Operations: ['32+57=89'] Exploring Operation: 4*28=112, Resulting Numbers: [89, 112] Generated Node #3: [89, 112] from Operation: 4*28=112 Current State: 23:[89, 112], Operations: ['32+57=89', '4*28=112'] Exploring Operation: 112-89=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 19, 32, 15, 13 ]
15
[ "32-19=13", "15+13=28", "28-13=15" ]
Current State: 15:[19, 32, 15, 13], Operations: [] Exploring Operation: 32-19=13, Resulting Numbers: [15, 13, 13] Generated Node #2: [15, 13, 13] from Operation: 32-19=13 Current State: 15:[15, 13, 13], Operations: ['32-19=13'] Exploring Operation: 15+13=28, Resulting Numbers: [28] 28,15 equal: Goal Reached Exploring Operation: 28-13=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 3, 45, 89, 39 ]
86
[ "45-3=42", "89+39=128", "128-42=86" ]
Current State: 86:[3, 45, 89, 39], Operations: [] Exploring Operation: 45-3=42, Resulting Numbers: [89, 39, 42] Generated Node #2: [89, 39, 42] from Operation: 45-3=42 Current State: 86:[89, 39, 42], Operations: ['45-3=42'] Exploring Operation: 89+39=128, Resulting Numbers: [42, 128] Generated Node #3: [42, 128] from Operation: 89+39=128 Current State: 86:[42, 128], Operations: ['45-3=42', '89+39=128'] Exploring Operation: 128-42=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 64, 4, 12, 2 ]
65
[ "64-2=62", "12/4=3", "62+3=65" ]
Current State: 65:[64, 4, 12, 2], Operations: [] Exploring Operation: 64-2=62, Resulting Numbers: [4, 12, 62] Generated Node #2: [4, 12, 62] from Operation: 64-2=62 Current State: 65:[4, 12, 62], Operations: ['64-2=62'] Exploring Operation: 12/4=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 12/4=3 Current State: 65:[62, 3], Operations: ['64-2=62', '12/4=3'] Exploring Operation: 62+3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 28, 45, 84, 49 ]
91
[ "84/28=3", "45+49=94", "94-3=91" ]
Current State: 91:[28, 45, 84, 49], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [45, 49, 3] Generated Node #2: [45, 49, 3] from Operation: 84/28=3 Current State: 91:[45, 49, 3], Operations: ['84/28=3'] Exploring Operation: 45+49=94, Resulting Numbers: [3, 94] Generated Node #3: [3, 94] from Operation: 45+49=94 Current State: 91:[3, 94], Operations: ['84/28=3', '45+49=94'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 51, 31, 4, 27 ]
88
[ "51-31=20", "4*27=108", "108-20=88" ]
Current State: 88:[51, 31, 4, 27], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [4, 27, 20] Generated Node #2: [4, 27, 20] from Operation: 51-31=20 Current State: 88:[4, 27, 20], Operations: ['51-31=20'] Exploring Operation: 4*27=108, Resulting Numbers: [20, 108] Generated Node #3: [20, 108] from Operation: 4*27=108 Current State: 88:[20, 108], Operations: ['51-31=20', '4*27=108'] Exploring Operation: 108-20=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 22, 83, 58, 67 ]
64
[ "83-22=61", "58+67=125", "125-61=64" ]
Current State: 64:[22, 83, 58, 67], Operations: [] Exploring Operation: 83-22=61, Resulting Numbers: [58, 67, 61] Generated Node #2: [58, 67, 61] from Operation: 83-22=61 Current State: 64:[58, 67, 61], Operations: ['83-22=61'] Exploring Operation: 58+67=125, Resulting Numbers: [61, 125] Generated Node #3: [61, 125] from Operation: 58+67=125 Current State: 64:[61, 125], Operations: ['83-22=61', '58+67=125'] Exploring Operation: 125-61=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 32, 7, 74, 19 ]
91
[ "74-32=42", "7*19=133", "133-42=91" ]
Current State: 91:[32, 7, 74, 19], Operations: [] Exploring Operation: 74-32=42, Resulting Numbers: [7, 19, 42] Generated Node #2: [7, 19, 42] from Operation: 74-32=42 Current State: 91:[7, 19, 42], Operations: ['74-32=42'] Exploring Operation: 7*19=133, Resulting Numbers: [42, 133] Generated Node #3: [42, 133] from Operation: 7*19=133 Current State: 91:[42, 133], Operations: ['74-32=42', '7*19=133'] Exploring Operation: 133-42=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 42, 46, 61, 21 ]
36
[ "46-42=4", "61-21=40", "40-4=36" ]
Current State: 36:[42, 46, 61, 21], Operations: [] Exploring Operation: 46-42=4, Resulting Numbers: [61, 21, 4] Generated Node #2: [61, 21, 4] from Operation: 46-42=4 Current State: 36:[61, 21, 4], Operations: ['46-42=4'] Exploring Operation: 61-21=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 61-21=40 Current State: 36:[4, 40], Operations: ['46-42=4', '61-21=40'] Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 96, 21, 20, 47 ]
50
[ "96+21=117", "20+47=67", "117-67=50" ]
Current State: 50:[96, 21, 20, 47], Operations: [] Exploring Operation: 96+21=117, Resulting Numbers: [20, 47, 117] Generated Node #2: [20, 47, 117] from Operation: 96+21=117 Current State: 50:[20, 47, 117], Operations: ['96+21=117'] Exploring Operation: 20+47=67, Resulting Numbers: [117, 67] Generated Node #3: [117, 67] from Operation: 20+47=67 Current State: 50:[117, 67], Operations: ['96+21=117', '20+47=67'] Exploring Operation: 117-67=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 55, 9, 80, 84 ]
68
[ "55+9=64", "84-80=4", "64+4=68" ]
Current State: 68:[55, 9, 80, 84], Operations: [] Exploring Operation: 55+9=64, Resulting Numbers: [80, 84, 64] Generated Node #2: [80, 84, 64] from Operation: 55+9=64 Current State: 68:[80, 84, 64], Operations: ['55+9=64'] Exploring Operation: 84-80=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 84-80=4 Current State: 68:[64, 4], Operations: ['55+9=64', '84-80=4'] Exploring Operation: 64+4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 76, 9, 31, 62 ]
83
[ "76+9=85", "62/31=2", "85-2=83" ]
Current State: 83:[76, 9, 31, 62], Operations: [] Exploring Operation: 76+9=85, Resulting Numbers: [31, 62, 85] Generated Node #2: [31, 62, 85] from Operation: 76+9=85 Current State: 83:[31, 62, 85], Operations: ['76+9=85'] Exploring Operation: 62/31=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 62/31=2 Current State: 83:[85, 2], Operations: ['76+9=85', '62/31=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 24, 39, 2, 89 ]
98
[ "24*2=48", "89-39=50", "48+50=98" ]
Current State: 98:[24, 39, 2, 89], Operations: [] Exploring Operation: 24*2=48, Resulting Numbers: [39, 89, 48] Generated Node #2: [39, 89, 48] from Operation: 24*2=48 Current State: 98:[39, 89, 48], Operations: ['24*2=48'] Exploring Operation: 89-39=50, Resulting Numbers: [48, 50] Generated Node #3: [48, 50] from Operation: 89-39=50 Current State: 98:[48, 50], Operations: ['24*2=48', '89-39=50'] Exploring Operation: 48+50=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 90, 37, 61, 77 ]
11
[ "90+37=127", "61+77=138", "138-127=11" ]
Current State: 11:[90, 37, 61, 77], Operations: [] Exploring Operation: 90+37=127, Resulting Numbers: [61, 77, 127] Generated Node #2: [61, 77, 127] from Operation: 90+37=127 Current State: 11:[61, 77, 127], Operations: ['90+37=127'] Exploring Operation: 61+77=138, Resulting Numbers: [127, 138] Generated Node #3: [127, 138] from Operation: 61+77=138 Current State: 11:[127, 138], Operations: ['90+37=127', '61+77=138'] Exploring Operation: 138-127=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 5, 15, 19, 78 ]
32
[ "5*19=95", "78-15=63", "95-63=32" ]
Current State: 32:[5, 15, 19, 78], Operations: [] Exploring Operation: 5*19=95, Resulting Numbers: [15, 78, 95] Generated Node #2: [15, 78, 95] from Operation: 5*19=95 Current State: 32:[15, 78, 95], Operations: ['5*19=95'] Exploring Operation: 78-15=63, Resulting Numbers: [95, 63] Generated Node #3: [95, 63] from Operation: 78-15=63 Current State: 32:[95, 63], Operations: ['5*19=95', '78-15=63'] Exploring Operation: 95-63=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 85, 18, 17, 55 ]
81
[ "17+55=72", "72/18=4", "85-4=81" ]
Current State: 81:[85, 18, 17, 55], Operations: [] Exploring Operation: 17+55=72, Resulting Numbers: [85, 18, 72] Generated Node #2: [85, 18, 72] from Operation: 17+55=72 Current State: 81:[85, 18, 72], Operations: ['17+55=72'] Exploring Operation: 72/18=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 72/18=4 Current State: 81:[85, 4], Operations: ['17+55=72', '72/18=4'] Exploring Operation: 85-4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 40, 35, 5, 44 ]
33
[ "35-5=30", "44*30=1320", "1320/40=33" ]
Current State: 33:[40, 35, 5, 44], Operations: [] Exploring Operation: 35-5=30, Resulting Numbers: [40, 44, 30] Generated Node #2: [40, 44, 30] from Operation: 35-5=30 Current State: 33:[40, 44, 30], Operations: ['35-5=30'] Exploring Operation: 44*30=1320, Resulting Numbers: [40, 1320] Generated Node #3: [40, 1320] from Operation: 44*30=1320 Current State: 33:[40, 1320], Operations: ['35-5=30', '44*30=1320'] Exploring Operation: 1320/40=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 2, 24, 94, 46 ]
59
[ "24+46=70", "70/2=35", "94-35=59" ]
Current State: 59:[2, 24, 94, 46], Operations: [] Exploring Operation: 24+46=70, Resulting Numbers: [2, 94, 70] Generated Node #2: [2, 94, 70] from Operation: 24+46=70 Current State: 59:[2, 94, 70], Operations: ['24+46=70'] Exploring Operation: 70/2=35, Resulting Numbers: [94, 35] Generated Node #3: [94, 35] from Operation: 70/2=35 Current State: 59:[94, 35], Operations: ['24+46=70', '70/2=35'] Exploring Operation: 94-35=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 14, 19, 47, 93 ]
28
[ "19-14=5", "47+93=140", "140/5=28" ]
Current State: 28:[14, 19, 47, 93], Operations: [] Exploring Operation: 19-14=5, Resulting Numbers: [47, 93, 5] Generated Node #2: [47, 93, 5] from Operation: 19-14=5 Current State: 28:[47, 93, 5], Operations: ['19-14=5'] Exploring Operation: 47+93=140, Resulting Numbers: [5, 140] Generated Node #3: [5, 140] from Operation: 47+93=140 Current State: 28:[5, 140], Operations: ['19-14=5', '47+93=140'] Exploring Operation: 140/5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 93, 69, 38, 69 ]
56
[ "93-38=55", "69/69=1", "55+1=56" ]
Current State: 56:[93, 69, 38, 69], Operations: [] Exploring Operation: 93-38=55, Resulting Numbers: [69, 69, 55] Generated Node #2: [69, 69, 55] from Operation: 93-38=55 Current State: 56:[69, 69, 55], Operations: ['93-38=55'] Exploring Operation: 69/69=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 69/69=1 Current State: 56:[55, 1], Operations: ['93-38=55', '69/69=1'] Exploring Operation: 55+1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 91, 65, 62, 32 ]
42
[ "62-32=30", "91*30=2730", "2730/65=42" ]
Current State: 42:[91, 65, 62, 32], Operations: [] Exploring Operation: 62-32=30, Resulting Numbers: [91, 65, 30] Generated Node #2: [91, 65, 30] from Operation: 62-32=30 Current State: 42:[91, 65, 30], Operations: ['62-32=30'] Exploring Operation: 91*30=2730, Resulting Numbers: [65, 2730] Generated Node #3: [65, 2730] from Operation: 91*30=2730 Current State: 42:[65, 2730], Operations: ['62-32=30', '91*30=2730'] Exploring Operation: 2730/65=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 42, 65, 72, 41 ]
47
[ "72-65=7", "42/7=6", "41+6=47" ]
Current State: 47:[42, 65, 72, 41], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [42, 41, 7] Generated Node #2: [42, 41, 7] from Operation: 72-65=7 Current State: 47:[42, 41, 7], Operations: ['72-65=7'] Exploring Operation: 42/7=6, Resulting Numbers: [41, 6] Generated Node #3: [41, 6] from Operation: 42/7=6 Current State: 47:[41, 6], Operations: ['72-65=7', '42/7=6'] Exploring Operation: 41+6=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 4, 84, 74, 53 ]
42
[ "84/4=21", "74-53=21", "21+21=42" ]
Current State: 42:[4, 84, 74, 53], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [74, 53, 21] Generated Node #2: [74, 53, 21] from Operation: 84/4=21 Current State: 42:[74, 53, 21], Operations: ['84/4=21'] Exploring Operation: 74-53=21, Resulting Numbers: [21, 21] Generated Node #3: [21, 21] from Operation: 74-53=21 Current State: 42:[21, 21], Operations: ['84/4=21', '74-53=21'] Exploring Operation: 21+21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 4, 85, 69, 79 ]
34
[ "4*85=340", "79-69=10", "340/10=34" ]
Current State: 34:[4, 85, 69, 79], Operations: [] Exploring Operation: 4*85=340, Resulting Numbers: [69, 79, 340] Generated Node #2: [69, 79, 340] from Operation: 4*85=340 Current State: 34:[69, 79, 340], Operations: ['4*85=340'] Exploring Operation: 79-69=10, Resulting Numbers: [340, 10] Generated Node #3: [340, 10] from Operation: 79-69=10 Current State: 34:[340, 10], Operations: ['4*85=340', '79-69=10'] Exploring Operation: 340/10=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 53, 40, 51, 15 ]
35
[ "53-51=2", "40/2=20", "15+20=35" ]
Current State: 35:[53, 40, 51, 15], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [40, 15, 2] Generated Node #2: [40, 15, 2] from Operation: 53-51=2 Current State: 35:[40, 15, 2], Operations: ['53-51=2'] Exploring Operation: 40/2=20, Resulting Numbers: [15, 20] Generated Node #3: [15, 20] from Operation: 40/2=20 Current State: 35:[15, 20], Operations: ['53-51=2', '40/2=20'] Exploring Operation: 15+20=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 82, 41, 75 ]
29
[ "82-41=41", "75+41=116", "116/4=29" ]
Current State: 29:[4, 82, 41, 75], Operations: [] Exploring Operation: 82-41=41, Resulting Numbers: [4, 75, 41] Generated Node #2: [4, 75, 41] from Operation: 82-41=41 Current State: 29:[4, 75, 41], Operations: ['82-41=41'] Exploring Operation: 75+41=116, Resulting Numbers: [4, 116] Generated Node #3: [4, 116] from Operation: 75+41=116 Current State: 29:[4, 116], Operations: ['82-41=41', '75+41=116'] Exploring Operation: 116/4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 3, 69, 65, 92 ]
39
[ "69-3=66", "92-65=27", "66-27=39" ]
Current State: 39:[3, 69, 65, 92], Operations: [] Exploring Operation: 69-3=66, Resulting Numbers: [65, 92, 66] Generated Node #2: [65, 92, 66] from Operation: 69-3=66 Current State: 39:[65, 92, 66], Operations: ['69-3=66'] Exploring Operation: 92-65=27, Resulting Numbers: [66, 27] Generated Node #3: [66, 27] from Operation: 92-65=27 Current State: 39:[66, 27], Operations: ['69-3=66', '92-65=27'] Exploring Operation: 66-27=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 48, 78, 88, 78 ]
41
[ "88-48=40", "78/78=1", "40+1=41" ]
Current State: 41:[48, 78, 88, 78], Operations: [] Exploring Operation: 88-48=40, Resulting Numbers: [78, 78, 40] Generated Node #2: [78, 78, 40] from Operation: 88-48=40 Current State: 41:[78, 78, 40], Operations: ['88-48=40'] Exploring Operation: 78/78=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 78/78=1 Current State: 41:[40, 1], Operations: ['88-48=40', '78/78=1'] Exploring Operation: 40+1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 23, 20, 75, 11 ]
89
[ "23-20=3", "75+11=86", "3+86=89" ]
Current State: 89:[23, 20, 75, 11], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [75, 11, 3] Generated Node #2: [75, 11, 3] from Operation: 23-20=3 Current State: 89:[75, 11, 3], Operations: ['23-20=3'] Exploring Operation: 75+11=86, Resulting Numbers: [3, 86] Generated Node #3: [3, 86] from Operation: 75+11=86 Current State: 89:[3, 86], Operations: ['23-20=3', '75+11=86'] Exploring Operation: 3+86=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 5, 23, 23, 32 ]
92
[ "5+23=28", "32-28=4", "23*4=92" ]
Current State: 92:[5, 23, 23, 32], Operations: [] Exploring Operation: 5+23=28, Resulting Numbers: [32, 28] Generated Node #2: [32, 28] from Operation: 5+23=28 Current State: 92:[32, 28], Operations: ['5+23=28'] Exploring Operation: 32-28=4, Resulting Numbers: [4] 4,92 equal: Goal Reached Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 34, 90, 27, 39 ]
37
[ "90+27=117", "117/39=3", "34+3=37" ]
Current State: 37:[34, 90, 27, 39], Operations: [] Exploring Operation: 90+27=117, Resulting Numbers: [34, 39, 117] Generated Node #2: [34, 39, 117] from Operation: 90+27=117 Current State: 37:[34, 39, 117], Operations: ['90+27=117'] Exploring Operation: 117/39=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 117/39=3 Current State: 37:[34, 3], Operations: ['90+27=117', '117/39=3'] Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 71, 5, 1, 62 ]
48
[ "71-1=70", "70/5=14", "62-14=48" ]
Current State: 48:[71, 5, 1, 62], Operations: [] Exploring Operation: 71-1=70, Resulting Numbers: [5, 62, 70] Generated Node #2: [5, 62, 70] from Operation: 71-1=70 Current State: 48:[5, 62, 70], Operations: ['71-1=70'] Exploring Operation: 70/5=14, Resulting Numbers: [62, 14] Generated Node #3: [62, 14] from Operation: 70/5=14 Current State: 48:[62, 14], Operations: ['71-1=70', '70/5=14'] Exploring Operation: 62-14=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 88, 65, 46, 8 ]
100
[ "88/8=11", "65+46=111", "111-11=100" ]
Current State: 100:[88, 65, 46, 8], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [65, 46, 11] Generated Node #2: [65, 46, 11] from Operation: 88/8=11 Current State: 100:[65, 46, 11], Operations: ['88/8=11'] Exploring Operation: 65+46=111, Resulting Numbers: [11, 111] Generated Node #3: [11, 111] from Operation: 65+46=111 Current State: 100:[11, 111], Operations: ['88/8=11', '65+46=111'] Exploring Operation: 111-11=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 28, 49, 54, 57 ]
35
[ "57-54=3", "28*3=84", "84-49=35" ]
Current State: 35:[28, 49, 54, 57], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [28, 49, 3] Generated Node #2: [28, 49, 3] from Operation: 57-54=3 Current State: 35:[28, 49, 3], Operations: ['57-54=3'] Exploring Operation: 28*3=84, Resulting Numbers: [49, 84] Generated Node #3: [49, 84] from Operation: 28*3=84 Current State: 35:[49, 84], Operations: ['57-54=3', '28*3=84'] Exploring Operation: 84-49=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 39, 13, 50, 3 ]
56
[ "39/13=3", "50+3=53", "3+53=56" ]
Current State: 56:[39, 13, 50, 3], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [50, 3, 3] Generated Node #2: [50, 3, 3] from Operation: 39/13=3 Current State: 56:[50, 3, 3], Operations: ['39/13=3'] Exploring Operation: 50+3=53, Resulting Numbers: [53] 53,56 equal: Goal Reached Exploring Operation: 3+53=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 71, 73, 60, 11 ]
19
[ "73-71=2", "60/2=30", "30-11=19" ]
Current State: 19:[71, 73, 60, 11], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [60, 11, 2] Generated Node #2: [60, 11, 2] from Operation: 73-71=2 Current State: 19:[60, 11, 2], Operations: ['73-71=2'] Exploring Operation: 60/2=30, Resulting Numbers: [11, 30] Generated Node #3: [11, 30] from Operation: 60/2=30 Current State: 19:[11, 30], Operations: ['73-71=2', '60/2=30'] Exploring Operation: 30-11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 35, 51, 63, 58 ]
11
[ "51-35=16", "63-58=5", "16-5=11" ]
Current State: 11:[35, 51, 63, 58], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [63, 58, 16] Generated Node #2: [63, 58, 16] from Operation: 51-35=16 Current State: 11:[63, 58, 16], Operations: ['51-35=16'] Exploring Operation: 63-58=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 63-58=5 Current State: 11:[16, 5], Operations: ['51-35=16', '63-58=5'] Exploring Operation: 16-5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 9, 34, 34, 2 ]
50
[ "9*2=18", "34+34=68", "68-18=50" ]
Current State: 50:[9, 34, 34, 2], Operations: [] Exploring Operation: 9*2=18, Resulting Numbers: [34, 34, 18] Generated Node #2: [34, 34, 18] from Operation: 9*2=18 Current State: 50:[34, 34, 18], Operations: ['9*2=18'] Exploring Operation: 34+34=68, Resulting Numbers: [18, 68] Generated Node #3: [18, 68] from Operation: 34+34=68 Current State: 50:[18, 68], Operations: ['9*2=18', '34+34=68'] Exploring Operation: 68-18=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 9, 77, 33, 83 ]
62
[ "9*77=693", "693/33=21", "83-21=62" ]
Current State: 62:[9, 77, 33, 83], Operations: [] Exploring Operation: 9*77=693, Resulting Numbers: [33, 83, 693] Generated Node #2: [33, 83, 693] from Operation: 9*77=693 Current State: 62:[33, 83, 693], Operations: ['9*77=693'] Exploring Operation: 693/33=21, Resulting Numbers: [83, 21] Generated Node #3: [83, 21] from Operation: 693/33=21 Current State: 62:[83, 21], Operations: ['9*77=693', '693/33=21'] Exploring Operation: 83-21=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 38, 15, 14, 32 ]
70
[ "38+32=70", "15-14=1", "70*1=70" ]
Current State: 70:[38, 15, 14, 32], Operations: [] Exploring Operation: 38+32=70, Resulting Numbers: [15, 14, 70] Generated Node #2: [15, 14, 70] from Operation: 38+32=70 Current State: 70:[15, 14, 70], Operations: ['38+32=70'] Exploring Operation: 15-14=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 15-14=1 Current State: 70:[70, 1], Operations: ['38+32=70', '15-14=1'] Exploring Operation: 70*1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 27, 59, 24 ]
76
[ "27+24=51", "51/3=17", "59+17=76" ]
Current State: 76:[3, 27, 59, 24], Operations: [] Exploring Operation: 27+24=51, Resulting Numbers: [3, 59, 51] Generated Node #2: [3, 59, 51] from Operation: 27+24=51 Current State: 76:[3, 59, 51], Operations: ['27+24=51'] Exploring Operation: 51/3=17, Resulting Numbers: [59, 17] Generated Node #3: [59, 17] from Operation: 51/3=17 Current State: 76:[59, 17], Operations: ['27+24=51', '51/3=17'] Exploring Operation: 59+17=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 45, 64, 67, 34 ]
49
[ "67-64=3", "45/3=15", "34+15=49" ]
Current State: 49:[45, 64, 67, 34], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [45, 34, 3] Generated Node #2: [45, 34, 3] from Operation: 67-64=3 Current State: 49:[45, 34, 3], Operations: ['67-64=3'] Exploring Operation: 45/3=15, Resulting Numbers: [34, 15] Generated Node #3: [34, 15] from Operation: 45/3=15 Current State: 49:[34, 15], Operations: ['67-64=3', '45/3=15'] Exploring Operation: 34+15=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 73, 94, 25, 23 ]
76
[ "94-25=69", "69/23=3", "73+3=76" ]
Current State: 76:[73, 94, 25, 23], Operations: [] Exploring Operation: 94-25=69, Resulting Numbers: [73, 23, 69] Generated Node #2: [73, 23, 69] from Operation: 94-25=69 Current State: 76:[73, 23, 69], Operations: ['94-25=69'] Exploring Operation: 69/23=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 69/23=3 Current State: 76:[73, 3], Operations: ['94-25=69', '69/23=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 30, 70, 25 ]
19
[ "14*30=420", "420/70=6", "25-6=19" ]
Current State: 19:[14, 30, 70, 25], Operations: [] Exploring Operation: 14*30=420, Resulting Numbers: [70, 25, 420] Generated Node #2: [70, 25, 420] from Operation: 14*30=420 Current State: 19:[70, 25, 420], Operations: ['14*30=420'] Exploring Operation: 420/70=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 420/70=6 Current State: 19:[25, 6], Operations: ['14*30=420', '420/70=6'] Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 64, 49, 46, 59 ]
11
[ "64+46=110", "59-49=10", "110/10=11" ]
Current State: 11:[64, 49, 46, 59], Operations: [] Exploring Operation: 64+46=110, Resulting Numbers: [49, 59, 110] Generated Node #2: [49, 59, 110] from Operation: 64+46=110 Current State: 11:[49, 59, 110], Operations: ['64+46=110'] Exploring Operation: 59-49=10, Resulting Numbers: [110, 10] Generated Node #3: [110, 10] from Operation: 59-49=10 Current State: 11:[110, 10], Operations: ['64+46=110', '59-49=10'] Exploring Operation: 110/10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 97, 97, 80, 7 ]
22
[ "97-80=17", "7*17=119", "119-97=22" ]
Current State: 22:[97, 97, 80, 7], Operations: [] Exploring Operation: 97-80=17, Resulting Numbers: [7, 17] Generated Node #2: [7, 17] from Operation: 97-80=17 Current State: 22:[7, 17], Operations: ['97-80=17'] Exploring Operation: 7*17=119, Resulting Numbers: [119] 119,22 equal: Goal Reached Exploring Operation: 119-97=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 54, 31, 50, 45 ]
30
[ "54*45=2430", "31+50=81", "2430/81=30" ]
Current State: 30:[54, 31, 50, 45], Operations: [] Exploring Operation: 54*45=2430, Resulting Numbers: [31, 50, 2430] Generated Node #2: [31, 50, 2430] from Operation: 54*45=2430 Current State: 30:[31, 50, 2430], Operations: ['54*45=2430'] Exploring Operation: 31+50=81, Resulting Numbers: [2430, 81] Generated Node #3: [2430, 81] from Operation: 31+50=81 Current State: 30:[2430, 81], Operations: ['54*45=2430', '31+50=81'] Exploring Operation: 2430/81=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 16, 41, 47, 99 ]
89
[ "16+41=57", "47+99=146", "146-57=89" ]
Current State: 89:[16, 41, 47, 99], Operations: [] Exploring Operation: 16+41=57, Resulting Numbers: [47, 99, 57] Generated Node #2: [47, 99, 57] from Operation: 16+41=57 Current State: 89:[47, 99, 57], Operations: ['16+41=57'] Exploring Operation: 47+99=146, Resulting Numbers: [57, 146] Generated Node #3: [57, 146] from Operation: 47+99=146 Current State: 89:[57, 146], Operations: ['16+41=57', '47+99=146'] Exploring Operation: 146-57=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 97, 76, 3, 66 ]
67
[ "76-66=10", "3*10=30", "97-30=67" ]
Current State: 67:[97, 76, 3, 66], Operations: [] Exploring Operation: 76-66=10, Resulting Numbers: [97, 3, 10] Generated Node #2: [97, 3, 10] from Operation: 76-66=10 Current State: 67:[97, 3, 10], Operations: ['76-66=10'] Exploring Operation: 3*10=30, Resulting Numbers: [97, 30] Generated Node #3: [97, 30] from Operation: 3*10=30 Current State: 67:[97, 30], Operations: ['76-66=10', '3*10=30'] Exploring Operation: 97-30=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 3, 13, 83, 98 ]
32
[ "98-83=15", "3*15=45", "45-13=32" ]
Current State: 32:[3, 13, 83, 98], Operations: [] Exploring Operation: 98-83=15, Resulting Numbers: [3, 13, 15] Generated Node #2: [3, 13, 15] from Operation: 98-83=15 Current State: 32:[3, 13, 15], Operations: ['98-83=15'] Exploring Operation: 3*15=45, Resulting Numbers: [13, 45] Generated Node #3: [13, 45] from Operation: 3*15=45 Current State: 32:[13, 45], Operations: ['98-83=15', '3*15=45'] Exploring Operation: 45-13=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 75, 56, 34, 38 ]
68
[ "75-56=19", "34*38=1292", "1292/19=68" ]
Current State: 68:[75, 56, 34, 38], Operations: [] Exploring Operation: 75-56=19, Resulting Numbers: [34, 38, 19] Generated Node #2: [34, 38, 19] from Operation: 75-56=19 Current State: 68:[34, 38, 19], Operations: ['75-56=19'] Exploring Operation: 34*38=1292, Resulting Numbers: [19, 1292] Generated Node #3: [19, 1292] from Operation: 34*38=1292 Current State: 68:[19, 1292], Operations: ['75-56=19', '34*38=1292'] Exploring Operation: 1292/19=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 43, 82, 56, 25 ]
43
[ "82-56=26", "26-25=1", "43*1=43" ]
Current State: 43:[43, 82, 56, 25], Operations: [] Exploring Operation: 82-56=26, Resulting Numbers: [43, 25, 26] Generated Node #2: [43, 25, 26] from Operation: 82-56=26 Current State: 43:[43, 25, 26], Operations: ['82-56=26'] Exploring Operation: 26-25=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 26-25=1 Current State: 43:[43, 1], Operations: ['82-56=26', '26-25=1'] Exploring Operation: 43*1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 63, 61, 35, 15 ]
88
[ "63*15=945", "945/35=27", "61+27=88" ]
Current State: 88:[63, 61, 35, 15], Operations: [] Exploring Operation: 63*15=945, Resulting Numbers: [61, 35, 945] Generated Node #2: [61, 35, 945] from Operation: 63*15=945 Current State: 88:[61, 35, 945], Operations: ['63*15=945'] Exploring Operation: 945/35=27, Resulting Numbers: [61, 27] Generated Node #3: [61, 27] from Operation: 945/35=27 Current State: 88:[61, 27], Operations: ['63*15=945', '945/35=27'] Exploring Operation: 61+27=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 19, 14, 17, 33 ]
90
[ "17-14=3", "19*3=57", "33+57=90" ]
Current State: 90:[19, 14, 17, 33], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [19, 33, 3] Generated Node #2: [19, 33, 3] from Operation: 17-14=3 Current State: 90:[19, 33, 3], Operations: ['17-14=3'] Exploring Operation: 19*3=57, Resulting Numbers: [33, 57] Generated Node #3: [33, 57] from Operation: 19*3=57 Current State: 90:[33, 57], Operations: ['17-14=3', '19*3=57'] Exploring Operation: 33+57=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 44, 65, 92, 61 ]
84
[ "65-61=4", "44*4=176", "176-92=84" ]
Current State: 84:[44, 65, 92, 61], Operations: [] Exploring Operation: 65-61=4, Resulting Numbers: [44, 92, 4] Generated Node #2: [44, 92, 4] from Operation: 65-61=4 Current State: 84:[44, 92, 4], Operations: ['65-61=4'] Exploring Operation: 44*4=176, Resulting Numbers: [92, 176] Generated Node #3: [92, 176] from Operation: 44*4=176 Current State: 84:[92, 176], Operations: ['65-61=4', '44*4=176'] Exploring Operation: 176-92=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 29, 72, 8, 99 ]
10
[ "29+72=101", "99-8=91", "101-91=10" ]
Current State: 10:[29, 72, 8, 99], Operations: [] Exploring Operation: 29+72=101, Resulting Numbers: [8, 99, 101] Generated Node #2: [8, 99, 101] from Operation: 29+72=101 Current State: 10:[8, 99, 101], Operations: ['29+72=101'] Exploring Operation: 99-8=91, Resulting Numbers: [101, 91] Generated Node #3: [101, 91] from Operation: 99-8=91 Current State: 10:[101, 91], Operations: ['29+72=101', '99-8=91'] Exploring Operation: 101-91=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 38, 87, 54, 40 ]
93
[ "87*40=3480", "54+3480=3534", "3534/38=93" ]
Current State: 93:[38, 87, 54, 40], Operations: [] Exploring Operation: 87*40=3480, Resulting Numbers: [38, 54, 3480] Generated Node #2: [38, 54, 3480] from Operation: 87*40=3480 Current State: 93:[38, 54, 3480], Operations: ['87*40=3480'] Exploring Operation: 54+3480=3534, Resulting Numbers: [38, 3534] Generated Node #3: [38, 3534] from Operation: 54+3480=3534 Current State: 93:[38, 3534], Operations: ['87*40=3480', '54+3480=3534'] Exploring Operation: 3534/38=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 63, 23, 20, 6 ]
10
[ "63-23=40", "20+40=60", "60/6=10" ]
Current State: 10:[63, 23, 20, 6], Operations: [] Exploring Operation: 63-23=40, Resulting Numbers: [20, 6, 40] Generated Node #2: [20, 6, 40] from Operation: 63-23=40 Current State: 10:[20, 6, 40], Operations: ['63-23=40'] Exploring Operation: 20+40=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 20+40=60 Current State: 10:[6, 60], Operations: ['63-23=40', '20+40=60'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 60, 21, 26, 4 ]
51
[ "60+21=81", "26+4=30", "81-30=51" ]
Current State: 51:[60, 21, 26, 4], Operations: [] Exploring Operation: 60+21=81, Resulting Numbers: [26, 4, 81] Generated Node #2: [26, 4, 81] from Operation: 60+21=81 Current State: 51:[26, 4, 81], Operations: ['60+21=81'] Exploring Operation: 26+4=30, Resulting Numbers: [81, 30] Generated Node #3: [81, 30] from Operation: 26+4=30 Current State: 51:[81, 30], Operations: ['60+21=81', '26+4=30'] Exploring Operation: 81-30=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 32, 19, 59, 21 ]
67
[ "32-19=13", "59+21=80", "80-13=67" ]
Current State: 67:[32, 19, 59, 21], Operations: [] Exploring Operation: 32-19=13, Resulting Numbers: [59, 21, 13] Generated Node #2: [59, 21, 13] from Operation: 32-19=13 Current State: 67:[59, 21, 13], Operations: ['32-19=13'] Exploring Operation: 59+21=80, Resulting Numbers: [13, 80] Generated Node #3: [13, 80] from Operation: 59+21=80 Current State: 67:[13, 80], Operations: ['32-19=13', '59+21=80'] Exploring Operation: 80-13=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 39, 25, 71, 44 ]
59
[ "39*44=1716", "25*71=1775", "1775-1716=59" ]
Current State: 59:[39, 25, 71, 44], Operations: [] Exploring Operation: 39*44=1716, Resulting Numbers: [25, 71, 1716] Generated Node #2: [25, 71, 1716] from Operation: 39*44=1716 Current State: 59:[25, 71, 1716], Operations: ['39*44=1716'] Exploring Operation: 25*71=1775, Resulting Numbers: [1716, 1775] Generated Node #3: [1716, 1775] from Operation: 25*71=1775 Current State: 59:[1716, 1775], Operations: ['39*44=1716', '25*71=1775'] Exploring Operation: 1775-1716=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 28, 33, 27, 55 ]
88
[ "28-27=1", "33+55=88", "1*88=88" ]
Current State: 88:[28, 33, 27, 55], Operations: [] Exploring Operation: 28-27=1, Resulting Numbers: [33, 55, 1] Generated Node #2: [33, 55, 1] from Operation: 28-27=1 Current State: 88:[33, 55, 1], Operations: ['28-27=1'] Exploring Operation: 33+55=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 33+55=88 Current State: 88:[1, 88], Operations: ['28-27=1', '33+55=88'] Exploring Operation: 1*88=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 58, 2, 1, 41 ]
71
[ "58/2=29", "1+41=42", "29+42=71" ]
Current State: 71:[58, 2, 1, 41], Operations: [] Exploring Operation: 58/2=29, Resulting Numbers: [1, 41, 29] Generated Node #2: [1, 41, 29] from Operation: 58/2=29 Current State: 71:[1, 41, 29], Operations: ['58/2=29'] Exploring Operation: 1+41=42, Resulting Numbers: [29, 42] Generated Node #3: [29, 42] from Operation: 1+41=42 Current State: 71:[29, 42], Operations: ['58/2=29', '1+41=42'] Exploring Operation: 29+42=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 77, 35, 21, 3 ]
94
[ "77+35=112", "21-3=18", "112-18=94" ]
Current State: 94:[77, 35, 21, 3], Operations: [] Exploring Operation: 77+35=112, Resulting Numbers: [21, 3, 112] Generated Node #2: [21, 3, 112] from Operation: 77+35=112 Current State: 94:[21, 3, 112], Operations: ['77+35=112'] Exploring Operation: 21-3=18, Resulting Numbers: [112, 18] Generated Node #3: [112, 18] from Operation: 21-3=18 Current State: 94:[112, 18], Operations: ['77+35=112', '21-3=18'] Exploring Operation: 112-18=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 19, 21, 13, 21 ]
68
[ "21-19=2", "13+21=34", "2*34=68" ]
Current State: 68:[19, 21, 13, 21], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [13, 2] Generated Node #2: [13, 2] from Operation: 21-19=2 Current State: 68:[13, 2], Operations: ['21-19=2'] Exploring Operation: 13+21=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 13+21=34 Current State: 68:[2, 34], Operations: ['21-19=2', '13+21=34'] Exploring Operation: 2*34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 21, 84, 90, 14 ]
41
[ "84-21=63", "90+14=104", "104-63=41" ]
Current State: 41:[21, 84, 90, 14], Operations: [] Exploring Operation: 84-21=63, Resulting Numbers: [90, 14, 63] Generated Node #2: [90, 14, 63] from Operation: 84-21=63 Current State: 41:[90, 14, 63], Operations: ['84-21=63'] Exploring Operation: 90+14=104, Resulting Numbers: [63, 104] Generated Node #3: [63, 104] from Operation: 90+14=104 Current State: 41:[63, 104], Operations: ['84-21=63', '90+14=104'] Exploring Operation: 104-63=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 75, 97, 68, 7 ]
86
[ "97-75=22", "7*22=154", "154-68=86" ]
Current State: 86:[75, 97, 68, 7], Operations: [] Exploring Operation: 97-75=22, Resulting Numbers: [68, 7, 22] Generated Node #2: [68, 7, 22] from Operation: 97-75=22 Current State: 86:[68, 7, 22], Operations: ['97-75=22'] Exploring Operation: 7*22=154, Resulting Numbers: [68, 154] Generated Node #3: [68, 154] from Operation: 7*22=154 Current State: 86:[68, 154], Operations: ['97-75=22', '7*22=154'] Exploring Operation: 154-68=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 11, 20, 3, 63 ]
14
[ "11+63=74", "20*3=60", "74-60=14" ]
Current State: 14:[11, 20, 3, 63], Operations: [] Exploring Operation: 11+63=74, Resulting Numbers: [20, 3, 74] Generated Node #2: [20, 3, 74] from Operation: 11+63=74 Current State: 14:[20, 3, 74], Operations: ['11+63=74'] Exploring Operation: 20*3=60, Resulting Numbers: [74, 60] Generated Node #3: [74, 60] from Operation: 20*3=60 Current State: 14:[74, 60], Operations: ['11+63=74', '20*3=60'] Exploring Operation: 74-60=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 30, 52, 53, 56 ]
66
[ "52-30=22", "56-53=3", "22*3=66" ]
Current State: 66:[30, 52, 53, 56], Operations: [] Exploring Operation: 52-30=22, Resulting Numbers: [53, 56, 22] Generated Node #2: [53, 56, 22] from Operation: 52-30=22 Current State: 66:[53, 56, 22], Operations: ['52-30=22'] Exploring Operation: 56-53=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 56-53=3 Current State: 66:[22, 3], Operations: ['52-30=22', '56-53=3'] Exploring Operation: 22*3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 57, 75, 49, 62 ]
59
[ "75+49=124", "124/62=2", "57+2=59" ]
Current State: 59:[57, 75, 49, 62], Operations: [] Exploring Operation: 75+49=124, Resulting Numbers: [57, 62, 124] Generated Node #2: [57, 62, 124] from Operation: 75+49=124 Current State: 59:[57, 62, 124], Operations: ['75+49=124'] Exploring Operation: 124/62=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 124/62=2 Current State: 59:[57, 2], Operations: ['75+49=124', '124/62=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 24, 11, 36, 57 ]
56
[ "24+11=35", "57-36=21", "35+21=56" ]
Current State: 56:[24, 11, 36, 57], Operations: [] Exploring Operation: 24+11=35, Resulting Numbers: [36, 57, 35] Generated Node #2: [36, 57, 35] from Operation: 24+11=35 Current State: 56:[36, 57, 35], Operations: ['24+11=35'] Exploring Operation: 57-36=21, Resulting Numbers: [35, 21] Generated Node #3: [35, 21] from Operation: 57-36=21 Current State: 56:[35, 21], Operations: ['24+11=35', '57-36=21'] Exploring Operation: 35+21=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 16, 59, 47, 12 ]
15
[ "59-47=12", "12/12=1", "16-1=15" ]
Current State: 15:[16, 59, 47, 12], Operations: [] Exploring Operation: 59-47=12, Resulting Numbers: [16, 12, 12] Generated Node #2: [16, 12, 12] from Operation: 59-47=12 Current State: 15:[16, 12, 12], Operations: ['59-47=12'] Exploring Operation: 12/12=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 12/12=1 Current State: 15:[16, 1], Operations: ['59-47=12', '12/12=1'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 75, 74, 33, 25 ]
85
[ "75/25=3", "33/3=11", "74+11=85" ]
Current State: 85:[75, 74, 33, 25], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [74, 33, 3] Generated Node #2: [74, 33, 3] from Operation: 75/25=3 Current State: 85:[74, 33, 3], Operations: ['75/25=3'] Exploring Operation: 33/3=11, Resulting Numbers: [74, 11] Generated Node #3: [74, 11] from Operation: 33/3=11 Current State: 85:[74, 11], Operations: ['75/25=3', '33/3=11'] Exploring Operation: 74+11=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 9, 2, 30, 74 ]
93
[ "9+2=11", "30+74=104", "104-11=93" ]
Current State: 93:[9, 2, 30, 74], Operations: [] Exploring Operation: 9+2=11, Resulting Numbers: [30, 74, 11] Generated Node #2: [30, 74, 11] from Operation: 9+2=11 Current State: 93:[30, 74, 11], Operations: ['9+2=11'] Exploring Operation: 30+74=104, Resulting Numbers: [11, 104] Generated Node #3: [11, 104] from Operation: 30+74=104 Current State: 93:[11, 104], Operations: ['9+2=11', '30+74=104'] Exploring Operation: 104-11=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 38, 16, 8, 21 ]
35
[ "38-16=22", "21-8=13", "22+13=35" ]
Current State: 35:[38, 16, 8, 21], Operations: [] Exploring Operation: 38-16=22, Resulting Numbers: [8, 21, 22] Generated Node #2: [8, 21, 22] from Operation: 38-16=22 Current State: 35:[8, 21, 22], Operations: ['38-16=22'] Exploring Operation: 21-8=13, Resulting Numbers: [22, 13] Generated Node #3: [22, 13] from Operation: 21-8=13 Current State: 35:[22, 13], Operations: ['38-16=22', '21-8=13'] Exploring Operation: 22+13=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 63, 82, 7, 86 ]
14
[ "63-7=56", "86-82=4", "56/4=14" ]
Current State: 14:[63, 82, 7, 86], Operations: [] Exploring Operation: 63-7=56, Resulting Numbers: [82, 86, 56] Generated Node #2: [82, 86, 56] from Operation: 63-7=56 Current State: 14:[82, 86, 56], Operations: ['63-7=56'] Exploring Operation: 86-82=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 86-82=4 Current State: 14:[56, 4], Operations: ['63-7=56', '86-82=4'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 25, 84, 93, 68 ]
34
[ "84-25=59", "93-68=25", "59-25=34" ]
Current State: 34:[25, 84, 93, 68], Operations: [] Exploring Operation: 84-25=59, Resulting Numbers: [93, 68, 59] Generated Node #2: [93, 68, 59] from Operation: 84-25=59 Current State: 34:[93, 68, 59], Operations: ['84-25=59'] Exploring Operation: 93-68=25, Resulting Numbers: [59, 25] Generated Node #3: [59, 25] from Operation: 93-68=25 Current State: 34:[59, 25], Operations: ['84-25=59', '93-68=25'] Exploring Operation: 59-25=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 47, 17, 26, 85 ]
83
[ "85/17=5", "26*5=130", "130-47=83" ]
Current State: 83:[47, 17, 26, 85], Operations: [] Exploring Operation: 85/17=5, Resulting Numbers: [47, 26, 5] Generated Node #2: [47, 26, 5] from Operation: 85/17=5 Current State: 83:[47, 26, 5], Operations: ['85/17=5'] Exploring Operation: 26*5=130, Resulting Numbers: [47, 130] Generated Node #3: [47, 130] from Operation: 26*5=130 Current State: 83:[47, 130], Operations: ['85/17=5', '26*5=130'] Exploring Operation: 130-47=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 90, 3, 5, 82 ]
55
[ "90+3=93", "93-82=11", "5*11=55" ]
Current State: 55:[90, 3, 5, 82], Operations: [] Exploring Operation: 90+3=93, Resulting Numbers: [5, 82, 93] Generated Node #2: [5, 82, 93] from Operation: 90+3=93 Current State: 55:[5, 82, 93], Operations: ['90+3=93'] Exploring Operation: 93-82=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 93-82=11 Current State: 55:[5, 11], Operations: ['90+3=93', '93-82=11'] Exploring Operation: 5*11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 63, 61, 38, 67 ]
58
[ "63-61=2", "67-38=29", "2*29=58" ]
Current State: 58:[63, 61, 38, 67], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [38, 67, 2] Generated Node #2: [38, 67, 2] from Operation: 63-61=2 Current State: 58:[38, 67, 2], Operations: ['63-61=2'] Exploring Operation: 67-38=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 67-38=29 Current State: 58:[2, 29], Operations: ['63-61=2', '67-38=29'] Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 74, 31, 29, 26 ]
98
[ "74-31=43", "29+26=55", "43+55=98" ]
Current State: 98:[74, 31, 29, 26], Operations: [] Exploring Operation: 74-31=43, Resulting Numbers: [29, 26, 43] Generated Node #2: [29, 26, 43] from Operation: 74-31=43 Current State: 98:[29, 26, 43], Operations: ['74-31=43'] Exploring Operation: 29+26=55, Resulting Numbers: [43, 55] Generated Node #3: [43, 55] from Operation: 29+26=55 Current State: 98:[43, 55], Operations: ['74-31=43', '29+26=55'] Exploring Operation: 43+55=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 16, 93, 21, 61 ]
19
[ "93-61=32", "32/16=2", "21-2=19" ]
Current State: 19:[16, 93, 21, 61], Operations: [] Exploring Operation: 93-61=32, Resulting Numbers: [16, 21, 32] Generated Node #2: [16, 21, 32] from Operation: 93-61=32 Current State: 19:[16, 21, 32], Operations: ['93-61=32'] Exploring Operation: 32/16=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 32/16=2 Current State: 19:[21, 2], Operations: ['93-61=32', '32/16=2'] Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 71, 23, 10, 67 ]
60
[ "71+67=138", "138/23=6", "10*6=60" ]
Current State: 60:[71, 23, 10, 67], Operations: [] Exploring Operation: 71+67=138, Resulting Numbers: [23, 10, 138] Generated Node #2: [23, 10, 138] from Operation: 71+67=138 Current State: 60:[23, 10, 138], Operations: ['71+67=138'] Exploring Operation: 138/23=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 138/23=6 Current State: 60:[10, 6], Operations: ['71+67=138', '138/23=6'] Exploring Operation: 10*6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 47, 61, 26, 65 ]
53
[ "61-47=14", "65-26=39", "14+39=53" ]
Current State: 53:[47, 61, 26, 65], Operations: [] Exploring Operation: 61-47=14, Resulting Numbers: [26, 65, 14] Generated Node #2: [26, 65, 14] from Operation: 61-47=14 Current State: 53:[26, 65, 14], Operations: ['61-47=14'] Exploring Operation: 65-26=39, Resulting Numbers: [14, 39] Generated Node #3: [14, 39] from Operation: 65-26=39 Current State: 53:[14, 39], Operations: ['61-47=14', '65-26=39'] Exploring Operation: 14+39=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 9, 15, 47, 37 ]
78
[ "15-9=6", "47+37=84", "84-6=78" ]
Current State: 78:[9, 15, 47, 37], Operations: [] Exploring Operation: 15-9=6, Resulting Numbers: [47, 37, 6] Generated Node #2: [47, 37, 6] from Operation: 15-9=6 Current State: 78:[47, 37, 6], Operations: ['15-9=6'] Exploring Operation: 47+37=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 47+37=84 Current State: 78:[6, 84], Operations: ['15-9=6', '47+37=84'] Exploring Operation: 84-6=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 45, 98, 87, 40 ]
74
[ "98-45=53", "87+40=127", "127-53=74" ]
Current State: 74:[45, 98, 87, 40], Operations: [] Exploring Operation: 98-45=53, Resulting Numbers: [87, 40, 53] Generated Node #2: [87, 40, 53] from Operation: 98-45=53 Current State: 74:[87, 40, 53], Operations: ['98-45=53'] Exploring Operation: 87+40=127, Resulting Numbers: [53, 127] Generated Node #3: [53, 127] from Operation: 87+40=127 Current State: 74:[53, 127], Operations: ['98-45=53', '87+40=127'] Exploring Operation: 127-53=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 34, 50, 32, 1 ]
50
[ "34-32=2", "2-1=1", "50*1=50" ]
Current State: 50:[34, 50, 32, 1], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [50, 1, 2] Generated Node #2: [50, 1, 2] from Operation: 34-32=2 Current State: 50:[50, 1, 2], Operations: ['34-32=2'] Exploring Operation: 2-1=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 2-1=1 Current State: 50:[50, 1], Operations: ['34-32=2', '2-1=1'] Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 10, 30, 20, 53 ]
68
[ "10*30=300", "300/20=15", "53+15=68" ]
Current State: 68:[10, 30, 20, 53], Operations: [] Exploring Operation: 10*30=300, Resulting Numbers: [20, 53, 300] Generated Node #2: [20, 53, 300] from Operation: 10*30=300 Current State: 68:[20, 53, 300], Operations: ['10*30=300'] Exploring Operation: 300/20=15, Resulting Numbers: [53, 15] Generated Node #3: [53, 15] from Operation: 300/20=15 Current State: 68:[53, 15], Operations: ['10*30=300', '300/20=15'] Exploring Operation: 53+15=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 34, 95, 16, 97 ]
20
[ "95-34=61", "97-16=81", "81-61=20" ]
Current State: 20:[34, 95, 16, 97], Operations: [] Exploring Operation: 95-34=61, Resulting Numbers: [16, 97, 61] Generated Node #2: [16, 97, 61] from Operation: 95-34=61 Current State: 20:[16, 97, 61], Operations: ['95-34=61'] Exploring Operation: 97-16=81, Resulting Numbers: [61, 81] Generated Node #3: [61, 81] from Operation: 97-16=81 Current State: 20:[61, 81], Operations: ['95-34=61', '97-16=81'] Exploring Operation: 81-61=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 66, 18, 6, 32 ]
74
[ "66-18=48", "32-6=26", "48+26=74" ]
Current State: 74:[66, 18, 6, 32], Operations: [] Exploring Operation: 66-18=48, Resulting Numbers: [6, 32, 48] Generated Node #2: [6, 32, 48] from Operation: 66-18=48 Current State: 74:[6, 32, 48], Operations: ['66-18=48'] Exploring Operation: 32-6=26, Resulting Numbers: [48, 26] Generated Node #3: [48, 26] from Operation: 32-6=26 Current State: 74:[48, 26], Operations: ['66-18=48', '32-6=26'] Exploring Operation: 48+26=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 84, 33, 99, 33 ]
17
[ "84-33=51", "99/33=3", "51/3=17" ]
Current State: 17:[84, 33, 99, 33], Operations: [] Exploring Operation: 84-33=51, Resulting Numbers: [99, 51] Generated Node #2: [99, 51] from Operation: 84-33=51 Current State: 17:[99, 51], Operations: ['84-33=51'] Exploring Operation: 99/33=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 99/33=3 Current State: 17:[51, 3], Operations: ['84-33=51', '99/33=3'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 6, 1, 40, 8 ]
25
[ "6+1=7", "40-8=32", "32-7=25" ]
Current State: 25:[6, 1, 40, 8], Operations: [] Exploring Operation: 6+1=7, Resulting Numbers: [40, 8, 7] Generated Node #2: [40, 8, 7] from Operation: 6+1=7 Current State: 25:[40, 8, 7], Operations: ['6+1=7'] Exploring Operation: 40-8=32, Resulting Numbers: [7, 32] Generated Node #3: [7, 32] from Operation: 40-8=32 Current State: 25:[7, 32], Operations: ['6+1=7', '40-8=32'] Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 1, 71, 78, 86 ]
94
[ "71-1=70", "78+86=164", "164-70=94" ]
Current State: 94:[1, 71, 78, 86], Operations: [] Exploring Operation: 71-1=70, Resulting Numbers: [78, 86, 70] Generated Node #2: [78, 86, 70] from Operation: 71-1=70 Current State: 94:[78, 86, 70], Operations: ['71-1=70'] Exploring Operation: 78+86=164, Resulting Numbers: [70, 164] Generated Node #3: [70, 164] from Operation: 78+86=164 Current State: 94:[70, 164], Operations: ['71-1=70', '78+86=164'] Exploring Operation: 164-70=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 37, 70, 72, 25 ]
13
[ "72-70=2", "25*2=50", "50-37=13" ]
Current State: 13:[37, 70, 72, 25], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [37, 25, 2] Generated Node #2: [37, 25, 2] from Operation: 72-70=2 Current State: 13:[37, 25, 2], Operations: ['72-70=2'] Exploring Operation: 25*2=50, Resulting Numbers: [37, 50] Generated Node #3: [37, 50] from Operation: 25*2=50 Current State: 13:[37, 50], Operations: ['72-70=2', '25*2=50'] Exploring Operation: 50-37=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 54, 63, 83, 81 ]
72
[ "83-81=2", "63*2=126", "126-54=72" ]
Current State: 72:[54, 63, 83, 81], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [54, 63, 2] Generated Node #2: [54, 63, 2] from Operation: 83-81=2 Current State: 72:[54, 63, 2], Operations: ['83-81=2'] Exploring Operation: 63*2=126, Resulting Numbers: [54, 126] Generated Node #3: [54, 126] from Operation: 63*2=126 Current State: 72:[54, 126], Operations: ['83-81=2', '63*2=126'] Exploring Operation: 126-54=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 57, 60, 16, 13 ]
61
[ "60-57=3", "16*3=48", "13+48=61" ]
Current State: 61:[57, 60, 16, 13], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [16, 13, 3] Generated Node #2: [16, 13, 3] from Operation: 60-57=3 Current State: 61:[16, 13, 3], Operations: ['60-57=3'] Exploring Operation: 16*3=48, Resulting Numbers: [13, 48] Generated Node #3: [13, 48] from Operation: 16*3=48 Current State: 61:[13, 48], Operations: ['60-57=3', '16*3=48'] Exploring Operation: 13+48=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 11, 86, 84, 76 ]
98
[ "86-84=2", "11*2=22", "76+22=98" ]
Current State: 98:[11, 86, 84, 76], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [11, 76, 2] Generated Node #2: [11, 76, 2] from Operation: 86-84=2 Current State: 98:[11, 76, 2], Operations: ['86-84=2'] Exploring Operation: 11*2=22, Resulting Numbers: [76, 22] Generated Node #3: [76, 22] from Operation: 11*2=22 Current State: 98:[76, 22], Operations: ['86-84=2', '11*2=22'] Exploring Operation: 76+22=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 56, 9, 51, 98 ]
84
[ "56+9=65", "51+98=149", "149-65=84" ]
Current State: 84:[56, 9, 51, 98], Operations: [] Exploring Operation: 56+9=65, Resulting Numbers: [51, 98, 65] Generated Node #2: [51, 98, 65] from Operation: 56+9=65 Current State: 84:[51, 98, 65], Operations: ['56+9=65'] Exploring Operation: 51+98=149, Resulting Numbers: [65, 149] Generated Node #3: [65, 149] from Operation: 51+98=149 Current State: 84:[65, 149], Operations: ['56+9=65', '51+98=149'] Exploring Operation: 149-65=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 60, 74, 43, 9 ]
82
[ "60+74=134", "43+9=52", "134-52=82" ]
Current State: 82:[60, 74, 43, 9], Operations: [] Exploring Operation: 60+74=134, Resulting Numbers: [43, 9, 134] Generated Node #2: [43, 9, 134] from Operation: 60+74=134 Current State: 82:[43, 9, 134], Operations: ['60+74=134'] Exploring Operation: 43+9=52, Resulting Numbers: [134, 52] Generated Node #3: [134, 52] from Operation: 43+9=52 Current State: 82:[134, 52], Operations: ['60+74=134', '43+9=52'] Exploring Operation: 134-52=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 79, 37, 4, 27 ]
56
[ "79+37=116", "116/4=29", "27+29=56" ]
Current State: 56:[79, 37, 4, 27], Operations: [] Exploring Operation: 79+37=116, Resulting Numbers: [4, 27, 116] Generated Node #2: [4, 27, 116] from Operation: 79+37=116 Current State: 56:[4, 27, 116], Operations: ['79+37=116'] Exploring Operation: 116/4=29, Resulting Numbers: [27, 29] Generated Node #3: [27, 29] from Operation: 116/4=29 Current State: 56:[27, 29], Operations: ['79+37=116', '116/4=29'] Exploring Operation: 27+29=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4