Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 12, 80, 15, 43 ]
34
[ "12+80=92", "15+43=58", "92-58=34" ]
Current State: 34:[12, 80, 15, 43], Operations: [] Exploring Operation: 12+80=92, Resulting Numbers: [15, 43, 92] Generated Node #2: [15, 43, 92] from Operation: 12+80=92 Current State: 34:[15, 43, 92], Operations: ['12+80=92'] Exploring Operation: 15+43=58, Resulting Numbers: [92, 58] Generated Node #3: [92, 58] from Operation: 15+43=58 Current State: 34:[92, 58], Operations: ['12+80=92', '15+43=58'] Exploring Operation: 92-58=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 85, 76, 97 ]
93
[ "85-5=80", "76+97=173", "173-80=93" ]
Current State: 93:[5, 85, 76, 97], Operations: [] Exploring Operation: 85-5=80, Resulting Numbers: [76, 97, 80] Generated Node #2: [76, 97, 80] from Operation: 85-5=80 Current State: 93:[76, 97, 80], Operations: ['85-5=80'] Exploring Operation: 76+97=173, Resulting Numbers: [80, 173] Generated Node #3: [80, 173] from Operation: 76+97=173 Current State: 93:[80, 173], Operations: ['85-5=80', '76+97=173'] Exploring Operation: 173-80=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 8, 85, 33, 21 ]
23
[ "85-8=77", "33+21=54", "77-54=23" ]
Current State: 23:[8, 85, 33, 21], Operations: [] Exploring Operation: 85-8=77, Resulting Numbers: [33, 21, 77] Generated Node #2: [33, 21, 77] from Operation: 85-8=77 Current State: 23:[33, 21, 77], Operations: ['85-8=77'] Exploring Operation: 33+21=54, Resulting Numbers: [77, 54] Generated Node #3: [77, 54] from Operation: 33+21=54 Current State: 23:[77, 54], Operations: ['85-8=77', '33+21=54'] Exploring Operation: 77-54=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 24, 5, 8, 3 ]
59
[ "24*8=192", "192/3=64", "64-5=59" ]
Current State: 59:[24, 5, 8, 3], Operations: [] Exploring Operation: 24*8=192, Resulting Numbers: [5, 3, 192] Generated Node #2: [5, 3, 192] from Operation: 24*8=192 Current State: 59:[5, 3, 192], Operations: ['24*8=192'] Exploring Operation: 192/3=64, Resulting Numbers: [5, 64] Generated Node #3: [5, 64] from Operation: 192/3=64 Current State: 59:[5, 64], Operations: ['24*8=192', '192/3=64'] Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 52, 39, 5, 9 ]
98
[ "39-9=30", "5*30=150", "150-52=98" ]
Current State: 98:[52, 39, 5, 9], Operations: [] Exploring Operation: 39-9=30, Resulting Numbers: [52, 5, 30] Generated Node #2: [52, 5, 30] from Operation: 39-9=30 Current State: 98:[52, 5, 30], Operations: ['39-9=30'] Exploring Operation: 5*30=150, Resulting Numbers: [52, 150] Generated Node #3: [52, 150] from Operation: 5*30=150 Current State: 98:[52, 150], Operations: ['39-9=30', '5*30=150'] Exploring Operation: 150-52=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 51, 90, 6, 10 ]
99
[ "90-51=39", "6*10=60", "39+60=99" ]
Current State: 99:[51, 90, 6, 10], Operations: [] Exploring Operation: 90-51=39, Resulting Numbers: [6, 10, 39] Generated Node #2: [6, 10, 39] from Operation: 90-51=39 Current State: 99:[6, 10, 39], Operations: ['90-51=39'] Exploring Operation: 6*10=60, Resulting Numbers: [39, 60] Generated Node #3: [39, 60] from Operation: 6*10=60 Current State: 99:[39, 60], Operations: ['90-51=39', '6*10=60'] Exploring Operation: 39+60=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 89, 11, 72, 82 ]
90
[ "89+11=100", "82-72=10", "100-10=90" ]
Current State: 90:[89, 11, 72, 82], Operations: [] Exploring Operation: 89+11=100, Resulting Numbers: [72, 82, 100] Generated Node #2: [72, 82, 100] from Operation: 89+11=100 Current State: 90:[72, 82, 100], Operations: ['89+11=100'] Exploring Operation: 82-72=10, Resulting Numbers: [100, 10] Generated Node #3: [100, 10] from Operation: 82-72=10 Current State: 90:[100, 10], Operations: ['89+11=100', '82-72=10'] Exploring Operation: 100-10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 98, 55, 33, 8 ]
15
[ "98+55=153", "153-33=120", "120/8=15" ]
Current State: 15:[98, 55, 33, 8], Operations: [] Exploring Operation: 98+55=153, Resulting Numbers: [33, 8, 153] Generated Node #2: [33, 8, 153] from Operation: 98+55=153 Current State: 15:[33, 8, 153], Operations: ['98+55=153'] Exploring Operation: 153-33=120, Resulting Numbers: [8, 120] Generated Node #3: [8, 120] from Operation: 153-33=120 Current State: 15:[8, 120], Operations: ['98+55=153', '153-33=120'] Exploring Operation: 120/8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 92, 59, 14, 51 ]
98
[ "92-59=33", "14+51=65", "33+65=98" ]
Current State: 98:[92, 59, 14, 51], Operations: [] Exploring Operation: 92-59=33, Resulting Numbers: [14, 51, 33] Generated Node #2: [14, 51, 33] from Operation: 92-59=33 Current State: 98:[14, 51, 33], Operations: ['92-59=33'] Exploring Operation: 14+51=65, Resulting Numbers: [33, 65] Generated Node #3: [33, 65] from Operation: 14+51=65 Current State: 98:[33, 65], Operations: ['92-59=33', '14+51=65'] Exploring Operation: 33+65=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 35, 54, 19, 74 ]
74
[ "54-35=19", "19+74=93", "93-19=74" ]
Current State: 74:[35, 54, 19, 74], Operations: [] Exploring Operation: 54-35=19, Resulting Numbers: [19, 74, 19] Generated Node #2: [19, 74, 19] from Operation: 54-35=19 Current State: 74:[19, 74, 19], Operations: ['54-35=19'] Exploring Operation: 19+74=93, Resulting Numbers: [93] 93,74 equal: Goal Reached Exploring Operation: 93-19=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 86, 51, 89, 97 ]
43
[ "86-51=35", "97-89=8", "35+8=43" ]
Current State: 43:[86, 51, 89, 97], Operations: [] Exploring Operation: 86-51=35, Resulting Numbers: [89, 97, 35] Generated Node #2: [89, 97, 35] from Operation: 86-51=35 Current State: 43:[89, 97, 35], Operations: ['86-51=35'] Exploring Operation: 97-89=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 97-89=8 Current State: 43:[35, 8], Operations: ['86-51=35', '97-89=8'] Exploring Operation: 35+8=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 43, 4, 33, 11 ]
29
[ "43-33=10", "4*10=40", "40-11=29" ]
Current State: 29:[43, 4, 33, 11], Operations: [] Exploring Operation: 43-33=10, Resulting Numbers: [4, 11, 10] Generated Node #2: [4, 11, 10] from Operation: 43-33=10 Current State: 29:[4, 11, 10], Operations: ['43-33=10'] Exploring Operation: 4*10=40, Resulting Numbers: [11, 40] Generated Node #3: [11, 40] from Operation: 4*10=40 Current State: 29:[11, 40], Operations: ['43-33=10', '4*10=40'] Exploring Operation: 40-11=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 33, 58, 73, 90 ]
73
[ "33+58=91", "91-90=1", "73*1=73" ]
Current State: 73:[33, 58, 73, 90], Operations: [] Exploring Operation: 33+58=91, Resulting Numbers: [73, 90, 91] Generated Node #2: [73, 90, 91] from Operation: 33+58=91 Current State: 73:[73, 90, 91], Operations: ['33+58=91'] Exploring Operation: 91-90=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 91-90=1 Current State: 73:[73, 1], Operations: ['33+58=91', '91-90=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 92, 25, 8, 69 ]
73
[ "92+8=100", "100/25=4", "69+4=73" ]
Current State: 73:[92, 25, 8, 69], Operations: [] Exploring Operation: 92+8=100, Resulting Numbers: [25, 69, 100] Generated Node #2: [25, 69, 100] from Operation: 92+8=100 Current State: 73:[25, 69, 100], Operations: ['92+8=100'] Exploring Operation: 100/25=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 100/25=4 Current State: 73:[69, 4], Operations: ['92+8=100', '100/25=4'] Exploring Operation: 69+4=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 20, 57, 63, 51 ]
65
[ "20+57=77", "63-51=12", "77-12=65" ]
Current State: 65:[20, 57, 63, 51], Operations: [] Exploring Operation: 20+57=77, Resulting Numbers: [63, 51, 77] Generated Node #2: [63, 51, 77] from Operation: 20+57=77 Current State: 65:[63, 51, 77], Operations: ['20+57=77'] Exploring Operation: 63-51=12, Resulting Numbers: [77, 12] Generated Node #3: [77, 12] from Operation: 63-51=12 Current State: 65:[77, 12], Operations: ['20+57=77', '63-51=12'] Exploring Operation: 77-12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 18, 87, 18, 71 ]
20
[ "87-18=69", "18+71=89", "89-69=20" ]
Current State: 20:[18, 87, 18, 71], Operations: [] Exploring Operation: 87-18=69, Resulting Numbers: [71, 69] Generated Node #2: [71, 69] from Operation: 87-18=69 Current State: 20:[71, 69], Operations: ['87-18=69'] Exploring Operation: 18+71=89, Resulting Numbers: [69, 89] Generated Node #3: [69, 89] from Operation: 18+71=89 Current State: 20:[69, 89], Operations: ['87-18=69', '18+71=89'] Exploring Operation: 89-69=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 43, 34, 68, 93 ]
16
[ "43-34=9", "93-68=25", "25-9=16" ]
Current State: 16:[43, 34, 68, 93], Operations: [] Exploring Operation: 43-34=9, Resulting Numbers: [68, 93, 9] Generated Node #2: [68, 93, 9] from Operation: 43-34=9 Current State: 16:[68, 93, 9], Operations: ['43-34=9'] Exploring Operation: 93-68=25, Resulting Numbers: [9, 25] Generated Node #3: [9, 25] from Operation: 93-68=25 Current State: 16:[9, 25], Operations: ['43-34=9', '93-68=25'] Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 6, 33, 81, 35 ]
89
[ "33-6=27", "81+35=116", "116-27=89" ]
Current State: 89:[6, 33, 81, 35], Operations: [] Exploring Operation: 33-6=27, Resulting Numbers: [81, 35, 27] Generated Node #2: [81, 35, 27] from Operation: 33-6=27 Current State: 89:[81, 35, 27], Operations: ['33-6=27'] Exploring Operation: 81+35=116, Resulting Numbers: [27, 116] Generated Node #3: [27, 116] from Operation: 81+35=116 Current State: 89:[27, 116], Operations: ['33-6=27', '81+35=116'] Exploring Operation: 116-27=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 60, 84, 77, 32 ]
85
[ "84-60=24", "77+32=109", "109-24=85" ]
Current State: 85:[60, 84, 77, 32], Operations: [] Exploring Operation: 84-60=24, Resulting Numbers: [77, 32, 24] Generated Node #2: [77, 32, 24] from Operation: 84-60=24 Current State: 85:[77, 32, 24], Operations: ['84-60=24'] Exploring Operation: 77+32=109, Resulting Numbers: [24, 109] Generated Node #3: [24, 109] from Operation: 77+32=109 Current State: 85:[24, 109], Operations: ['84-60=24', '77+32=109'] Exploring Operation: 109-24=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 88, 44, 1, 77 ]
38
[ "88/44=2", "77-1=76", "76/2=38" ]
Current State: 38:[88, 44, 1, 77], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [1, 77, 2] Generated Node #2: [1, 77, 2] from Operation: 88/44=2 Current State: 38:[1, 77, 2], Operations: ['88/44=2'] Exploring Operation: 77-1=76, Resulting Numbers: [2, 76] Generated Node #3: [2, 76] from Operation: 77-1=76 Current State: 38:[2, 76], Operations: ['88/44=2', '77-1=76'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 55, 10, 49, 9 ]
25
[ "55+10=65", "49-9=40", "65-40=25" ]
Current State: 25:[55, 10, 49, 9], Operations: [] Exploring Operation: 55+10=65, Resulting Numbers: [49, 9, 65] Generated Node #2: [49, 9, 65] from Operation: 55+10=65 Current State: 25:[49, 9, 65], Operations: ['55+10=65'] Exploring Operation: 49-9=40, Resulting Numbers: [65, 40] Generated Node #3: [65, 40] from Operation: 49-9=40 Current State: 25:[65, 40], Operations: ['55+10=65', '49-9=40'] Exploring Operation: 65-40=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 57, 39, 11, 15 ]
24
[ "57+39=96", "15-11=4", "96/4=24" ]
Current State: 24:[57, 39, 11, 15], Operations: [] Exploring Operation: 57+39=96, Resulting Numbers: [11, 15, 96] Generated Node #2: [11, 15, 96] from Operation: 57+39=96 Current State: 24:[11, 15, 96], Operations: ['57+39=96'] Exploring Operation: 15-11=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 15-11=4 Current State: 24:[96, 4], Operations: ['57+39=96', '15-11=4'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 24, 57, 37, 54 ]
27
[ "57+54=111", "111/37=3", "24+3=27" ]
Current State: 27:[24, 57, 37, 54], Operations: [] Exploring Operation: 57+54=111, Resulting Numbers: [24, 37, 111] Generated Node #2: [24, 37, 111] from Operation: 57+54=111 Current State: 27:[24, 37, 111], Operations: ['57+54=111'] Exploring Operation: 111/37=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 111/37=3 Current State: 27:[24, 3], Operations: ['57+54=111', '111/37=3'] Exploring Operation: 24+3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 60, 30, 25, 96 ]
91
[ "60-30=30", "25+96=121", "121-30=91" ]
Current State: 91:[60, 30, 25, 96], Operations: [] Exploring Operation: 60-30=30, Resulting Numbers: [25, 96, 30] Generated Node #2: [25, 96, 30] from Operation: 60-30=30 Current State: 91:[25, 96, 30], Operations: ['60-30=30'] Exploring Operation: 25+96=121, Resulting Numbers: [30, 121] Generated Node #3: [30, 121] from Operation: 25+96=121 Current State: 91:[30, 121], Operations: ['60-30=30', '25+96=121'] Exploring Operation: 121-30=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 1, 65, 64, 31 ]
97
[ "65-1=64", "64-31=33", "64+33=97" ]
Current State: 97:[1, 65, 64, 31], Operations: [] Exploring Operation: 65-1=64, Resulting Numbers: [64, 31, 64] Generated Node #2: [64, 31, 64] from Operation: 65-1=64 Current State: 97:[64, 31, 64], Operations: ['65-1=64'] Exploring Operation: 64-31=33, Resulting Numbers: [33] 33,97 equal: Goal Reached Exploring Operation: 64+33=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 96, 19, 78, 1 ]
83
[ "96-1=95", "95/19=5", "78+5=83" ]
Current State: 83:[96, 19, 78, 1], Operations: [] Exploring Operation: 96-1=95, Resulting Numbers: [19, 78, 95] Generated Node #2: [19, 78, 95] from Operation: 96-1=95 Current State: 83:[19, 78, 95], Operations: ['96-1=95'] Exploring Operation: 95/19=5, Resulting Numbers: [78, 5] Generated Node #3: [78, 5] from Operation: 95/19=5 Current State: 83:[78, 5], Operations: ['96-1=95', '95/19=5'] Exploring Operation: 78+5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 57, 54, 12, 26 ]
73
[ "57+54=111", "12+26=38", "111-38=73" ]
Current State: 73:[57, 54, 12, 26], Operations: [] Exploring Operation: 57+54=111, Resulting Numbers: [12, 26, 111] Generated Node #2: [12, 26, 111] from Operation: 57+54=111 Current State: 73:[12, 26, 111], Operations: ['57+54=111'] Exploring Operation: 12+26=38, Resulting Numbers: [111, 38] Generated Node #3: [111, 38] from Operation: 12+26=38 Current State: 73:[111, 38], Operations: ['57+54=111', '12+26=38'] Exploring Operation: 111-38=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 74, 44, 16, 2 ]
86
[ "74+44=118", "16*2=32", "118-32=86" ]
Current State: 86:[74, 44, 16, 2], Operations: [] Exploring Operation: 74+44=118, Resulting Numbers: [16, 2, 118] Generated Node #2: [16, 2, 118] from Operation: 74+44=118 Current State: 86:[16, 2, 118], Operations: ['74+44=118'] Exploring Operation: 16*2=32, Resulting Numbers: [118, 32] Generated Node #3: [118, 32] from Operation: 16*2=32 Current State: 86:[118, 32], Operations: ['74+44=118', '16*2=32'] Exploring Operation: 118-32=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 22, 49, 87, 86 ]
70
[ "22+49=71", "87-86=1", "71-1=70" ]
Current State: 70:[22, 49, 87, 86], Operations: [] Exploring Operation: 22+49=71, Resulting Numbers: [87, 86, 71] Generated Node #2: [87, 86, 71] from Operation: 22+49=71 Current State: 70:[87, 86, 71], Operations: ['22+49=71'] Exploring Operation: 87-86=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 87-86=1 Current State: 70:[71, 1], Operations: ['22+49=71', '87-86=1'] Exploring Operation: 71-1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 24, 53, 2, 50 ]
77
[ "53-24=29", "50-2=48", "29+48=77" ]
Current State: 77:[24, 53, 2, 50], Operations: [] Exploring Operation: 53-24=29, Resulting Numbers: [2, 50, 29] Generated Node #2: [2, 50, 29] from Operation: 53-24=29 Current State: 77:[2, 50, 29], Operations: ['53-24=29'] Exploring Operation: 50-2=48, Resulting Numbers: [29, 48] Generated Node #3: [29, 48] from Operation: 50-2=48 Current State: 77:[29, 48], Operations: ['53-24=29', '50-2=48'] Exploring Operation: 29+48=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 34, 63, 57, 19 ]
32
[ "63-34=29", "57/19=3", "29+3=32" ]
Current State: 32:[34, 63, 57, 19], Operations: [] Exploring Operation: 63-34=29, Resulting Numbers: [57, 19, 29] Generated Node #2: [57, 19, 29] from Operation: 63-34=29 Current State: 32:[57, 19, 29], Operations: ['63-34=29'] Exploring Operation: 57/19=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 57/19=3 Current State: 32:[29, 3], Operations: ['63-34=29', '57/19=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 73, 59, 27, 31 ]
72
[ "73-59=14", "27+31=58", "14+58=72" ]
Current State: 72:[73, 59, 27, 31], Operations: [] Exploring Operation: 73-59=14, Resulting Numbers: [27, 31, 14] Generated Node #2: [27, 31, 14] from Operation: 73-59=14 Current State: 72:[27, 31, 14], Operations: ['73-59=14'] Exploring Operation: 27+31=58, Resulting Numbers: [14, 58] Generated Node #3: [14, 58] from Operation: 27+31=58 Current State: 72:[14, 58], Operations: ['73-59=14', '27+31=58'] Exploring Operation: 14+58=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 97, 49, 73, 72 ]
52
[ "97-73=24", "72/24=3", "49+3=52" ]
Current State: 52:[97, 49, 73, 72], Operations: [] Exploring Operation: 97-73=24, Resulting Numbers: [49, 72, 24] Generated Node #2: [49, 72, 24] from Operation: 97-73=24 Current State: 52:[49, 72, 24], Operations: ['97-73=24'] Exploring Operation: 72/24=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 72/24=3 Current State: 52:[49, 3], Operations: ['97-73=24', '72/24=3'] Exploring Operation: 49+3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 50, 26, 47, 78 ]
94
[ "50+26=76", "78-76=2", "47*2=94" ]
Current State: 94:[50, 26, 47, 78], Operations: [] Exploring Operation: 50+26=76, Resulting Numbers: [47, 78, 76] Generated Node #2: [47, 78, 76] from Operation: 50+26=76 Current State: 94:[47, 78, 76], Operations: ['50+26=76'] Exploring Operation: 78-76=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 78-76=2 Current State: 94:[47, 2], Operations: ['50+26=76', '78-76=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 49, 61, 28, 66 ]
82
[ "61-49=12", "28+66=94", "94-12=82" ]
Current State: 82:[49, 61, 28, 66], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [28, 66, 12] Generated Node #2: [28, 66, 12] from Operation: 61-49=12 Current State: 82:[28, 66, 12], Operations: ['61-49=12'] Exploring Operation: 28+66=94, Resulting Numbers: [12, 94] Generated Node #3: [12, 94] from Operation: 28+66=94 Current State: 82:[12, 94], Operations: ['61-49=12', '28+66=94'] Exploring Operation: 94-12=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 58, 42, 30, 4 ]
76
[ "42+30=72", "72/4=18", "58+18=76" ]
Current State: 76:[58, 42, 30, 4], Operations: [] Exploring Operation: 42+30=72, Resulting Numbers: [58, 4, 72] Generated Node #2: [58, 4, 72] from Operation: 42+30=72 Current State: 76:[58, 4, 72], Operations: ['42+30=72'] Exploring Operation: 72/4=18, Resulting Numbers: [58, 18] Generated Node #3: [58, 18] from Operation: 72/4=18 Current State: 76:[58, 18], Operations: ['42+30=72', '72/4=18'] Exploring Operation: 58+18=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 92, 38, 28 ]
75
[ "92-7=85", "38-28=10", "85-10=75" ]
Current State: 75:[7, 92, 38, 28], Operations: [] Exploring Operation: 92-7=85, Resulting Numbers: [38, 28, 85] Generated Node #2: [38, 28, 85] from Operation: 92-7=85 Current State: 75:[38, 28, 85], Operations: ['92-7=85'] Exploring Operation: 38-28=10, Resulting Numbers: [85, 10] Generated Node #3: [85, 10] from Operation: 38-28=10 Current State: 75:[85, 10], Operations: ['92-7=85', '38-28=10'] Exploring Operation: 85-10=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 18, 86, 16, 70 ]
51
[ "18-16=2", "70/2=35", "86-35=51" ]
Current State: 51:[18, 86, 16, 70], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [86, 70, 2] Generated Node #2: [86, 70, 2] from Operation: 18-16=2 Current State: 51:[86, 70, 2], Operations: ['18-16=2'] Exploring Operation: 70/2=35, Resulting Numbers: [86, 35] Generated Node #3: [86, 35] from Operation: 70/2=35 Current State: 51:[86, 35], Operations: ['18-16=2', '70/2=35'] Exploring Operation: 86-35=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 54, 64, 71, 89 ]
61
[ "89-71=18", "54/18=3", "64-3=61" ]
Current State: 61:[54, 64, 71, 89], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [54, 64, 18] Generated Node #2: [54, 64, 18] from Operation: 89-71=18 Current State: 61:[54, 64, 18], Operations: ['89-71=18'] Exploring Operation: 54/18=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 54/18=3 Current State: 61:[64, 3], Operations: ['89-71=18', '54/18=3'] Exploring Operation: 64-3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 23, 87, 63, 29 ]
29
[ "87-23=64", "64-63=1", "29*1=29" ]
Current State: 29:[23, 87, 63, 29], Operations: [] Exploring Operation: 87-23=64, Resulting Numbers: [63, 29, 64] Generated Node #2: [63, 29, 64] from Operation: 87-23=64 Current State: 29:[63, 29, 64], Operations: ['87-23=64'] Exploring Operation: 64-63=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 64-63=1 Current State: 29:[29, 1], Operations: ['87-23=64', '64-63=1'] Exploring Operation: 29*1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 14, 16, 2, 41 ]
19
[ "14+16=30", "2*30=60", "60-41=19" ]
Current State: 19:[14, 16, 2, 41], Operations: [] Exploring Operation: 14+16=30, Resulting Numbers: [2, 41, 30] Generated Node #2: [2, 41, 30] from Operation: 14+16=30 Current State: 19:[2, 41, 30], Operations: ['14+16=30'] Exploring Operation: 2*30=60, Resulting Numbers: [41, 60] Generated Node #3: [41, 60] from Operation: 2*30=60 Current State: 19:[41, 60], Operations: ['14+16=30', '2*30=60'] Exploring Operation: 60-41=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 83, 8, 64, 52 ]
13
[ "64-52=12", "8*12=96", "96-83=13" ]
Current State: 13:[83, 8, 64, 52], Operations: [] Exploring Operation: 64-52=12, Resulting Numbers: [83, 8, 12] Generated Node #2: [83, 8, 12] from Operation: 64-52=12 Current State: 13:[83, 8, 12], Operations: ['64-52=12'] Exploring Operation: 8*12=96, Resulting Numbers: [83, 96] Generated Node #3: [83, 96] from Operation: 8*12=96 Current State: 13:[83, 96], Operations: ['64-52=12', '8*12=96'] Exploring Operation: 96-83=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 1, 89, 87, 45 ]
42
[ "1+89=90", "87+45=132", "132-90=42" ]
Current State: 42:[1, 89, 87, 45], Operations: [] Exploring Operation: 1+89=90, Resulting Numbers: [87, 45, 90] Generated Node #2: [87, 45, 90] from Operation: 1+89=90 Current State: 42:[87, 45, 90], Operations: ['1+89=90'] Exploring Operation: 87+45=132, Resulting Numbers: [90, 132] Generated Node #3: [90, 132] from Operation: 87+45=132 Current State: 42:[90, 132], Operations: ['1+89=90', '87+45=132'] Exploring Operation: 132-90=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 5, 68, 79, 32 ]
16
[ "68-5=63", "79-32=47", "63-47=16" ]
Current State: 16:[5, 68, 79, 32], Operations: [] Exploring Operation: 68-5=63, Resulting Numbers: [79, 32, 63] Generated Node #2: [79, 32, 63] from Operation: 68-5=63 Current State: 16:[79, 32, 63], Operations: ['68-5=63'] Exploring Operation: 79-32=47, Resulting Numbers: [63, 47] Generated Node #3: [63, 47] from Operation: 79-32=47 Current State: 16:[63, 47], Operations: ['68-5=63', '79-32=47'] Exploring Operation: 63-47=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 41, 38, 82, 56 ]
74
[ "82/41=2", "56*2=112", "112-38=74" ]
Current State: 74:[41, 38, 82, 56], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [38, 56, 2] Generated Node #2: [38, 56, 2] from Operation: 82/41=2 Current State: 74:[38, 56, 2], Operations: ['82/41=2'] Exploring Operation: 56*2=112, Resulting Numbers: [38, 112] Generated Node #3: [38, 112] from Operation: 56*2=112 Current State: 74:[38, 112], Operations: ['82/41=2', '56*2=112'] Exploring Operation: 112-38=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 11, 94, 77, 55 ]
22
[ "55/11=5", "94-77=17", "5+17=22" ]
Current State: 22:[11, 94, 77, 55], Operations: [] Exploring Operation: 55/11=5, Resulting Numbers: [94, 77, 5] Generated Node #2: [94, 77, 5] from Operation: 55/11=5 Current State: 22:[94, 77, 5], Operations: ['55/11=5'] Exploring Operation: 94-77=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 94-77=17 Current State: 22:[5, 17], Operations: ['55/11=5', '94-77=17'] Exploring Operation: 5+17=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 1, 19, 20, 69 ]
70
[ "1+19=20", "20/20=1", "69+1=70" ]
Current State: 70:[1, 19, 20, 69], Operations: [] Exploring Operation: 1+19=20, Resulting Numbers: [20, 69, 20] Generated Node #2: [20, 69, 20] from Operation: 1+19=20 Current State: 70:[20, 69, 20], Operations: ['1+19=20'] Exploring Operation: 20/20=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 20/20=1 Current State: 70:[69, 1], Operations: ['1+19=20', '20/20=1'] Exploring Operation: 69+1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 11, 17, 61, 49 ]
82
[ "11+17=28", "61+49=110", "110-28=82" ]
Current State: 82:[11, 17, 61, 49], Operations: [] Exploring Operation: 11+17=28, Resulting Numbers: [61, 49, 28] Generated Node #2: [61, 49, 28] from Operation: 11+17=28 Current State: 82:[61, 49, 28], Operations: ['11+17=28'] Exploring Operation: 61+49=110, Resulting Numbers: [28, 110] Generated Node #3: [28, 110] from Operation: 61+49=110 Current State: 82:[28, 110], Operations: ['11+17=28', '61+49=110'] Exploring Operation: 110-28=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 5, 58, 17, 65 ]
78
[ "5*17=85", "65-58=7", "85-7=78" ]
Current State: 78:[5, 58, 17, 65], Operations: [] Exploring Operation: 5*17=85, Resulting Numbers: [58, 65, 85] Generated Node #2: [58, 65, 85] from Operation: 5*17=85 Current State: 78:[58, 65, 85], Operations: ['5*17=85'] Exploring Operation: 65-58=7, Resulting Numbers: [85, 7] Generated Node #3: [85, 7] from Operation: 65-58=7 Current State: 78:[85, 7], Operations: ['5*17=85', '65-58=7'] Exploring Operation: 85-7=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 61, 78, 52, 44 ]
43
[ "61+78=139", "52+44=96", "139-96=43" ]
Current State: 43:[61, 78, 52, 44], Operations: [] Exploring Operation: 61+78=139, Resulting Numbers: [52, 44, 139] Generated Node #2: [52, 44, 139] from Operation: 61+78=139 Current State: 43:[52, 44, 139], Operations: ['61+78=139'] Exploring Operation: 52+44=96, Resulting Numbers: [139, 96] Generated Node #3: [139, 96] from Operation: 52+44=96 Current State: 43:[139, 96], Operations: ['61+78=139', '52+44=96'] Exploring Operation: 139-96=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 11, 70, 28, 55 ]
11
[ "28*55=1540", "1540/70=22", "22-11=11" ]
Current State: 11:[11, 70, 28, 55], Operations: [] Exploring Operation: 28*55=1540, Resulting Numbers: [11, 70, 1540] Generated Node #2: [11, 70, 1540] from Operation: 28*55=1540 Current State: 11:[11, 70, 1540], Operations: ['28*55=1540'] Exploring Operation: 1540/70=22, Resulting Numbers: [11, 22] Generated Node #3: [11, 22] from Operation: 1540/70=22 Current State: 11:[11, 22], Operations: ['28*55=1540', '1540/70=22'] Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 24, 72, 46, 4 ]
54
[ "24+72=96", "46-4=42", "96-42=54" ]
Current State: 54:[24, 72, 46, 4], Operations: [] Exploring Operation: 24+72=96, Resulting Numbers: [46, 4, 96] Generated Node #2: [46, 4, 96] from Operation: 24+72=96 Current State: 54:[46, 4, 96], Operations: ['24+72=96'] Exploring Operation: 46-4=42, Resulting Numbers: [96, 42] Generated Node #3: [96, 42] from Operation: 46-4=42 Current State: 54:[96, 42], Operations: ['24+72=96', '46-4=42'] Exploring Operation: 96-42=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 60, 96, 58, 3 ]
66
[ "96-60=36", "58-36=22", "3*22=66" ]
Current State: 66:[60, 96, 58, 3], Operations: [] Exploring Operation: 96-60=36, Resulting Numbers: [58, 3, 36] Generated Node #2: [58, 3, 36] from Operation: 96-60=36 Current State: 66:[58, 3, 36], Operations: ['96-60=36'] Exploring Operation: 58-36=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 58-36=22 Current State: 66:[3, 22], Operations: ['96-60=36', '58-36=22'] Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 84, 74, 42, 91 ]
25
[ "84+74=158", "42+91=133", "158-133=25" ]
Current State: 25:[84, 74, 42, 91], Operations: [] Exploring Operation: 84+74=158, Resulting Numbers: [42, 91, 158] Generated Node #2: [42, 91, 158] from Operation: 84+74=158 Current State: 25:[42, 91, 158], Operations: ['84+74=158'] Exploring Operation: 42+91=133, Resulting Numbers: [158, 133] Generated Node #3: [158, 133] from Operation: 42+91=133 Current State: 25:[158, 133], Operations: ['84+74=158', '42+91=133'] Exploring Operation: 158-133=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 74, 45, 58, 21 ]
47
[ "58-21=37", "74/37=2", "45+2=47" ]
Current State: 47:[74, 45, 58, 21], Operations: [] Exploring Operation: 58-21=37, Resulting Numbers: [74, 45, 37] Generated Node #2: [74, 45, 37] from Operation: 58-21=37 Current State: 47:[74, 45, 37], Operations: ['58-21=37'] Exploring Operation: 74/37=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 74/37=2 Current State: 47:[45, 2], Operations: ['58-21=37', '74/37=2'] Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 9, 90, 3, 64 ]
78
[ "9/3=3", "90-64=26", "3*26=78" ]
Current State: 78:[9, 90, 3, 64], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [90, 64, 3] Generated Node #2: [90, 64, 3] from Operation: 9/3=3 Current State: 78:[90, 64, 3], Operations: ['9/3=3'] Exploring Operation: 90-64=26, Resulting Numbers: [3, 26] Generated Node #3: [3, 26] from Operation: 90-64=26 Current State: 78:[3, 26], Operations: ['9/3=3', '90-64=26'] Exploring Operation: 3*26=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 56, 39, 58, 32 ]
43
[ "56-39=17", "58-32=26", "17+26=43" ]
Current State: 43:[56, 39, 58, 32], Operations: [] Exploring Operation: 56-39=17, Resulting Numbers: [58, 32, 17] Generated Node #2: [58, 32, 17] from Operation: 56-39=17 Current State: 43:[58, 32, 17], Operations: ['56-39=17'] Exploring Operation: 58-32=26, Resulting Numbers: [17, 26] Generated Node #3: [17, 26] from Operation: 58-32=26 Current State: 43:[17, 26], Operations: ['56-39=17', '58-32=26'] Exploring Operation: 17+26=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 40, 85, 25, 5 ]
15
[ "85-40=45", "25+5=30", "45-30=15" ]
Current State: 15:[40, 85, 25, 5], Operations: [] Exploring Operation: 85-40=45, Resulting Numbers: [25, 5, 45] Generated Node #2: [25, 5, 45] from Operation: 85-40=45 Current State: 15:[25, 5, 45], Operations: ['85-40=45'] Exploring Operation: 25+5=30, Resulting Numbers: [45, 30] Generated Node #3: [45, 30] from Operation: 25+5=30 Current State: 15:[45, 30], Operations: ['85-40=45', '25+5=30'] Exploring Operation: 45-30=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 78, 8, 44, 12 ]
18
[ "78*12=936", "8+44=52", "936/52=18" ]
Current State: 18:[78, 8, 44, 12], Operations: [] Exploring Operation: 78*12=936, Resulting Numbers: [8, 44, 936] Generated Node #2: [8, 44, 936] from Operation: 78*12=936 Current State: 18:[8, 44, 936], Operations: ['78*12=936'] Exploring Operation: 8+44=52, Resulting Numbers: [936, 52] Generated Node #3: [936, 52] from Operation: 8+44=52 Current State: 18:[936, 52], Operations: ['78*12=936', '8+44=52'] Exploring Operation: 936/52=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 83, 68, 91, 93 ]
17
[ "83-68=15", "93-91=2", "15+2=17" ]
Current State: 17:[83, 68, 91, 93], Operations: [] Exploring Operation: 83-68=15, Resulting Numbers: [91, 93, 15] Generated Node #2: [91, 93, 15] from Operation: 83-68=15 Current State: 17:[91, 93, 15], Operations: ['83-68=15'] Exploring Operation: 93-91=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 93-91=2 Current State: 17:[15, 2], Operations: ['83-68=15', '93-91=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 45, 61, 15, 66 ]
65
[ "61-45=16", "15+66=81", "81-16=65" ]
Current State: 65:[45, 61, 15, 66], Operations: [] Exploring Operation: 61-45=16, Resulting Numbers: [15, 66, 16] Generated Node #2: [15, 66, 16] from Operation: 61-45=16 Current State: 65:[15, 66, 16], Operations: ['61-45=16'] Exploring Operation: 15+66=81, Resulting Numbers: [16, 81] Generated Node #3: [16, 81] from Operation: 15+66=81 Current State: 65:[16, 81], Operations: ['61-45=16', '15+66=81'] Exploring Operation: 81-16=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 49, 1, 5, 55 ]
30
[ "49*1=49", "55-49=6", "5*6=30" ]
Current State: 30:[49, 1, 5, 55], Operations: [] Exploring Operation: 49*1=49, Resulting Numbers: [5, 55, 49] Generated Node #2: [5, 55, 49] from Operation: 49*1=49 Current State: 30:[5, 55, 49], Operations: ['49*1=49'] Exploring Operation: 55-49=6, Resulting Numbers: [5, 6] Generated Node #3: [5, 6] from Operation: 55-49=6 Current State: 30:[5, 6], Operations: ['49*1=49', '55-49=6'] Exploring Operation: 5*6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 46, 63, 20, 65 ]
86
[ "65-63=2", "20*2=40", "46+40=86" ]
Current State: 86:[46, 63, 20, 65], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [46, 20, 2] Generated Node #2: [46, 20, 2] from Operation: 65-63=2 Current State: 86:[46, 20, 2], Operations: ['65-63=2'] Exploring Operation: 20*2=40, Resulting Numbers: [46, 40] Generated Node #3: [46, 40] from Operation: 20*2=40 Current State: 86:[46, 40], Operations: ['65-63=2', '20*2=40'] Exploring Operation: 46+40=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 40, 69, 64, 55 ]
19
[ "40+55=95", "69-64=5", "95/5=19" ]
Current State: 19:[40, 69, 64, 55], Operations: [] Exploring Operation: 40+55=95, Resulting Numbers: [69, 64, 95] Generated Node #2: [69, 64, 95] from Operation: 40+55=95 Current State: 19:[69, 64, 95], Operations: ['40+55=95'] Exploring Operation: 69-64=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 69-64=5 Current State: 19:[95, 5], Operations: ['40+55=95', '69-64=5'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 4, 36, 28, 45 ]
23
[ "4+36=40", "45-28=17", "40-17=23" ]
Current State: 23:[4, 36, 28, 45], Operations: [] Exploring Operation: 4+36=40, Resulting Numbers: [28, 45, 40] Generated Node #2: [28, 45, 40] from Operation: 4+36=40 Current State: 23:[28, 45, 40], Operations: ['4+36=40'] Exploring Operation: 45-28=17, Resulting Numbers: [40, 17] Generated Node #3: [40, 17] from Operation: 45-28=17 Current State: 23:[40, 17], Operations: ['4+36=40', '45-28=17'] Exploring Operation: 40-17=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 97, 17, 91, 90 ]
79
[ "97-17=80", "91-90=1", "80-1=79" ]
Current State: 79:[97, 17, 91, 90], Operations: [] Exploring Operation: 97-17=80, Resulting Numbers: [91, 90, 80] Generated Node #2: [91, 90, 80] from Operation: 97-17=80 Current State: 79:[91, 90, 80], Operations: ['97-17=80'] Exploring Operation: 91-90=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 91-90=1 Current State: 79:[80, 1], Operations: ['97-17=80', '91-90=1'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 17, 17, 29, 5 ]
73
[ "29-17=12", "17*5=85", "85-12=73" ]
Current State: 73:[17, 17, 29, 5], Operations: [] Exploring Operation: 29-17=12, Resulting Numbers: [5, 12] Generated Node #2: [5, 12] from Operation: 29-17=12 Current State: 73:[5, 12], Operations: ['29-17=12'] Exploring Operation: 17*5=85, Resulting Numbers: [12, 85] Generated Node #3: [12, 85] from Operation: 17*5=85 Current State: 73:[12, 85], Operations: ['29-17=12', '17*5=85'] Exploring Operation: 85-12=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 86, 5, 91, 56 ]
79
[ "91-56=35", "35/5=7", "86-7=79" ]
Current State: 79:[86, 5, 91, 56], Operations: [] Exploring Operation: 91-56=35, Resulting Numbers: [86, 5, 35] Generated Node #2: [86, 5, 35] from Operation: 91-56=35 Current State: 79:[86, 5, 35], Operations: ['91-56=35'] Exploring Operation: 35/5=7, Resulting Numbers: [86, 7] Generated Node #3: [86, 7] from Operation: 35/5=7 Current State: 79:[86, 7], Operations: ['91-56=35', '35/5=7'] Exploring Operation: 86-7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 75, 3, 3, 2 ]
82
[ "75-2=73", "3*3=9", "73+9=82" ]
Current State: 82:[75, 3, 3, 2], Operations: [] Exploring Operation: 75-2=73, Resulting Numbers: [3, 3, 73] Generated Node #2: [3, 3, 73] from Operation: 75-2=73 Current State: 82:[3, 3, 73], Operations: ['75-2=73'] Exploring Operation: 3*3=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 3*3=9 Current State: 82:[73, 9], Operations: ['75-2=73', '3*3=9'] Exploring Operation: 73+9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 19, 36, 13, 59 ]
17
[ "19+36=55", "13+59=72", "72-55=17" ]
Current State: 17:[19, 36, 13, 59], Operations: [] Exploring Operation: 19+36=55, Resulting Numbers: [13, 59, 55] Generated Node #2: [13, 59, 55] from Operation: 19+36=55 Current State: 17:[13, 59, 55], Operations: ['19+36=55'] Exploring Operation: 13+59=72, Resulting Numbers: [55, 72] Generated Node #3: [55, 72] from Operation: 13+59=72 Current State: 17:[55, 72], Operations: ['19+36=55', '13+59=72'] Exploring Operation: 72-55=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 85, 94, 60, 2 ]
71
[ "94-85=9", "60+2=62", "9+62=71" ]
Current State: 71:[85, 94, 60, 2], Operations: [] Exploring Operation: 94-85=9, Resulting Numbers: [60, 2, 9] Generated Node #2: [60, 2, 9] from Operation: 94-85=9 Current State: 71:[60, 2, 9], Operations: ['94-85=9'] Exploring Operation: 60+2=62, Resulting Numbers: [9, 62] Generated Node #3: [9, 62] from Operation: 60+2=62 Current State: 71:[9, 62], Operations: ['94-85=9', '60+2=62'] Exploring Operation: 9+62=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 92, 23, 86, 92 ]
23
[ "92-92=0", "86*0=0", "23+0=23" ]
Current State: 23:[92, 23, 86, 92], Operations: [] Exploring Operation: 92-92=0, Resulting Numbers: [23, 86, 0] Generated Node #2: [23, 86, 0] from Operation: 92-92=0 Current State: 23:[23, 86, 0], Operations: ['92-92=0'] Exploring Operation: 86*0=0, Resulting Numbers: [23, 0] Generated Node #3: [23, 0] from Operation: 86*0=0 Current State: 23:[23, 0], Operations: ['92-92=0', '86*0=0'] Exploring Operation: 23+0=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 26, 7, 22, 56 ]
97
[ "26-7=19", "22+56=78", "19+78=97" ]
Current State: 97:[26, 7, 22, 56], Operations: [] Exploring Operation: 26-7=19, Resulting Numbers: [22, 56, 19] Generated Node #2: [22, 56, 19] from Operation: 26-7=19 Current State: 97:[22, 56, 19], Operations: ['26-7=19'] Exploring Operation: 22+56=78, Resulting Numbers: [19, 78] Generated Node #3: [19, 78] from Operation: 22+56=78 Current State: 97:[19, 78], Operations: ['26-7=19', '22+56=78'] Exploring Operation: 19+78=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 39, 3, 8, 47 ]
94
[ "39+8=47", "3*47=141", "141-47=94" ]
Current State: 94:[39, 3, 8, 47], Operations: [] Exploring Operation: 39+8=47, Resulting Numbers: [3, 47, 47] Generated Node #2: [3, 47, 47] from Operation: 39+8=47 Current State: 94:[3, 47, 47], Operations: ['39+8=47'] Exploring Operation: 3*47=141, Resulting Numbers: [141] 141,94 equal: Goal Reached Exploring Operation: 141-47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 33, 30, 38, 35 ]
76
[ "33-30=3", "38+35=73", "3+73=76" ]
Current State: 76:[33, 30, 38, 35], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [38, 35, 3] Generated Node #2: [38, 35, 3] from Operation: 33-30=3 Current State: 76:[38, 35, 3], Operations: ['33-30=3'] Exploring Operation: 38+35=73, Resulting Numbers: [3, 73] Generated Node #3: [3, 73] from Operation: 38+35=73 Current State: 76:[3, 73], Operations: ['33-30=3', '38+35=73'] Exploring Operation: 3+73=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 48, 16, 57, 77 ]
52
[ "48-16=32", "77-57=20", "32+20=52" ]
Current State: 52:[48, 16, 57, 77], Operations: [] Exploring Operation: 48-16=32, Resulting Numbers: [57, 77, 32] Generated Node #2: [57, 77, 32] from Operation: 48-16=32 Current State: 52:[57, 77, 32], Operations: ['48-16=32'] Exploring Operation: 77-57=20, Resulting Numbers: [32, 20] Generated Node #3: [32, 20] from Operation: 77-57=20 Current State: 52:[32, 20], Operations: ['48-16=32', '77-57=20'] Exploring Operation: 32+20=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 6, 49, 87, 33 ]
62
[ "6*33=198", "49+87=136", "198-136=62" ]
Current State: 62:[6, 49, 87, 33], Operations: [] Exploring Operation: 6*33=198, Resulting Numbers: [49, 87, 198] Generated Node #2: [49, 87, 198] from Operation: 6*33=198 Current State: 62:[49, 87, 198], Operations: ['6*33=198'] Exploring Operation: 49+87=136, Resulting Numbers: [198, 136] Generated Node #3: [198, 136] from Operation: 49+87=136 Current State: 62:[198, 136], Operations: ['6*33=198', '49+87=136'] Exploring Operation: 198-136=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 12, 28, 76, 17 ]
64
[ "17-12=5", "28*5=140", "140-76=64" ]
Current State: 64:[12, 28, 76, 17], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [28, 76, 5] Generated Node #2: [28, 76, 5] from Operation: 17-12=5 Current State: 64:[28, 76, 5], Operations: ['17-12=5'] Exploring Operation: 28*5=140, Resulting Numbers: [76, 140] Generated Node #3: [76, 140] from Operation: 28*5=140 Current State: 64:[76, 140], Operations: ['17-12=5', '28*5=140'] Exploring Operation: 140-76=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 10, 36, 7, 33 ]
20
[ "10+36=46", "33-7=26", "46-26=20" ]
Current State: 20:[10, 36, 7, 33], Operations: [] Exploring Operation: 10+36=46, Resulting Numbers: [7, 33, 46] Generated Node #2: [7, 33, 46] from Operation: 10+36=46 Current State: 20:[7, 33, 46], Operations: ['10+36=46'] Exploring Operation: 33-7=26, Resulting Numbers: [46, 26] Generated Node #3: [46, 26] from Operation: 33-7=26 Current State: 20:[46, 26], Operations: ['10+36=46', '33-7=26'] Exploring Operation: 46-26=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 40, 59, 76, 20 ]
34
[ "40/20=2", "76-59=17", "2*17=34" ]
Current State: 34:[40, 59, 76, 20], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [59, 76, 2] Generated Node #2: [59, 76, 2] from Operation: 40/20=2 Current State: 34:[59, 76, 2], Operations: ['40/20=2'] Exploring Operation: 76-59=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 76-59=17 Current State: 34:[2, 17], Operations: ['40/20=2', '76-59=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 58, 52, 18, 75 ]
51
[ "58-52=6", "75-18=57", "57-6=51" ]
Current State: 51:[58, 52, 18, 75], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [18, 75, 6] Generated Node #2: [18, 75, 6] from Operation: 58-52=6 Current State: 51:[18, 75, 6], Operations: ['58-52=6'] Exploring Operation: 75-18=57, Resulting Numbers: [6, 57] Generated Node #3: [6, 57] from Operation: 75-18=57 Current State: 51:[6, 57], Operations: ['58-52=6', '75-18=57'] Exploring Operation: 57-6=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 36, 58, 2, 76 ]
76
[ "76-36=40", "58*2=116", "116-40=76" ]
Current State: 76:[36, 58, 2, 76], Operations: [] Exploring Operation: 76-36=40, Resulting Numbers: [58, 2, 40] Generated Node #2: [58, 2, 40] from Operation: 76-36=40 Current State: 76:[58, 2, 40], Operations: ['76-36=40'] Exploring Operation: 58*2=116, Resulting Numbers: [40, 116] Generated Node #3: [40, 116] from Operation: 58*2=116 Current State: 76:[40, 116], Operations: ['76-36=40', '58*2=116'] Exploring Operation: 116-40=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 29, 99, 43, 32 ]
44
[ "29+43=72", "99*32=3168", "3168/72=44" ]
Current State: 44:[29, 99, 43, 32], Operations: [] Exploring Operation: 29+43=72, Resulting Numbers: [99, 32, 72] Generated Node #2: [99, 32, 72] from Operation: 29+43=72 Current State: 44:[99, 32, 72], Operations: ['29+43=72'] Exploring Operation: 99*32=3168, Resulting Numbers: [72, 3168] Generated Node #3: [72, 3168] from Operation: 99*32=3168 Current State: 44:[72, 3168], Operations: ['29+43=72', '99*32=3168'] Exploring Operation: 3168/72=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 95, 41, 2, 25 ]
31
[ "95-41=54", "25-2=23", "54-23=31" ]
Current State: 31:[95, 41, 2, 25], Operations: [] Exploring Operation: 95-41=54, Resulting Numbers: [2, 25, 54] Generated Node #2: [2, 25, 54] from Operation: 95-41=54 Current State: 31:[2, 25, 54], Operations: ['95-41=54'] Exploring Operation: 25-2=23, Resulting Numbers: [54, 23] Generated Node #3: [54, 23] from Operation: 25-2=23 Current State: 31:[54, 23], Operations: ['95-41=54', '25-2=23'] Exploring Operation: 54-23=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 56, 4, 91, 44 ]
89
[ "56*4=224", "91+44=135", "224-135=89" ]
Current State: 89:[56, 4, 91, 44], Operations: [] Exploring Operation: 56*4=224, Resulting Numbers: [91, 44, 224] Generated Node #2: [91, 44, 224] from Operation: 56*4=224 Current State: 89:[91, 44, 224], Operations: ['56*4=224'] Exploring Operation: 91+44=135, Resulting Numbers: [224, 135] Generated Node #3: [224, 135] from Operation: 91+44=135 Current State: 89:[224, 135], Operations: ['56*4=224', '91+44=135'] Exploring Operation: 224-135=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 21, 39, 97, 68 ]
42
[ "39+97=136", "21*136=2856", "2856/68=42" ]
Current State: 42:[21, 39, 97, 68], Operations: [] Exploring Operation: 39+97=136, Resulting Numbers: [21, 68, 136] Generated Node #2: [21, 68, 136] from Operation: 39+97=136 Current State: 42:[21, 68, 136], Operations: ['39+97=136'] Exploring Operation: 21*136=2856, Resulting Numbers: [68, 2856] Generated Node #3: [68, 2856] from Operation: 21*136=2856 Current State: 42:[68, 2856], Operations: ['39+97=136', '21*136=2856'] Exploring Operation: 2856/68=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 69, 69, 27, 53 ]
27
[ "69-69=0", "53*0=0", "27+0=27" ]
Current State: 27:[69, 69, 27, 53], Operations: [] Exploring Operation: 69-69=0, Resulting Numbers: [27, 53, 0] Generated Node #2: [27, 53, 0] from Operation: 69-69=0 Current State: 27:[27, 53, 0], Operations: ['69-69=0'] Exploring Operation: 53*0=0, Resulting Numbers: [27, 0] Generated Node #3: [27, 0] from Operation: 53*0=0 Current State: 27:[27, 0], Operations: ['69-69=0', '53*0=0'] Exploring Operation: 27+0=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 88, 84, 87, 96 ]
63
[ "88-84=4", "96/4=24", "87-24=63" ]
Current State: 63:[88, 84, 87, 96], Operations: [] Exploring Operation: 88-84=4, Resulting Numbers: [87, 96, 4] Generated Node #2: [87, 96, 4] from Operation: 88-84=4 Current State: 63:[87, 96, 4], Operations: ['88-84=4'] Exploring Operation: 96/4=24, Resulting Numbers: [87, 24] Generated Node #3: [87, 24] from Operation: 96/4=24 Current State: 63:[87, 24], Operations: ['88-84=4', '96/4=24'] Exploring Operation: 87-24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 3, 53, 12, 9 ]
96
[ "53-12=41", "41-9=32", "3*32=96" ]
Current State: 96:[3, 53, 12, 9], Operations: [] Exploring Operation: 53-12=41, Resulting Numbers: [3, 9, 41] Generated Node #2: [3, 9, 41] from Operation: 53-12=41 Current State: 96:[3, 9, 41], Operations: ['53-12=41'] Exploring Operation: 41-9=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 41-9=32 Current State: 96:[3, 32], Operations: ['53-12=41', '41-9=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 11, 64, 28, 72 ]
16
[ "11*64=704", "72-28=44", "704/44=16" ]
Current State: 16:[11, 64, 28, 72], Operations: [] Exploring Operation: 11*64=704, Resulting Numbers: [28, 72, 704] Generated Node #2: [28, 72, 704] from Operation: 11*64=704 Current State: 16:[28, 72, 704], Operations: ['11*64=704'] Exploring Operation: 72-28=44, Resulting Numbers: [704, 44] Generated Node #3: [704, 44] from Operation: 72-28=44 Current State: 16:[704, 44], Operations: ['11*64=704', '72-28=44'] Exploring Operation: 704/44=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 64, 56, 84, 37 ]
14
[ "64+84=148", "56*37=2072", "2072/148=14" ]
Current State: 14:[64, 56, 84, 37], Operations: [] Exploring Operation: 64+84=148, Resulting Numbers: [56, 37, 148] Generated Node #2: [56, 37, 148] from Operation: 64+84=148 Current State: 14:[56, 37, 148], Operations: ['64+84=148'] Exploring Operation: 56*37=2072, Resulting Numbers: [148, 2072] Generated Node #3: [148, 2072] from Operation: 56*37=2072 Current State: 14:[148, 2072], Operations: ['64+84=148', '56*37=2072'] Exploring Operation: 2072/148=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 11, 15, 71, 60 ]
16
[ "71-11=60", "60/60=1", "15+1=16" ]
Current State: 16:[11, 15, 71, 60], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [15, 60, 60] Generated Node #2: [15, 60, 60] from Operation: 71-11=60 Current State: 16:[15, 60, 60], Operations: ['71-11=60'] Exploring Operation: 60/60=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 60/60=1 Current State: 16:[15, 1], Operations: ['71-11=60', '60/60=1'] Exploring Operation: 15+1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 29, 53, 84, 3 ]
52
[ "53-29=24", "84/3=28", "24+28=52" ]
Current State: 52:[29, 53, 84, 3], Operations: [] Exploring Operation: 53-29=24, Resulting Numbers: [84, 3, 24] Generated Node #2: [84, 3, 24] from Operation: 53-29=24 Current State: 52:[84, 3, 24], Operations: ['53-29=24'] Exploring Operation: 84/3=28, Resulting Numbers: [24, 28] Generated Node #3: [24, 28] from Operation: 84/3=28 Current State: 52:[24, 28], Operations: ['53-29=24', '84/3=28'] Exploring Operation: 24+28=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 86, 95, 77, 52 ]
75
[ "95-52=43", "86/43=2", "77-2=75" ]
Current State: 75:[86, 95, 77, 52], Operations: [] Exploring Operation: 95-52=43, Resulting Numbers: [86, 77, 43] Generated Node #2: [86, 77, 43] from Operation: 95-52=43 Current State: 75:[86, 77, 43], Operations: ['95-52=43'] Exploring Operation: 86/43=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 86/43=2 Current State: 75:[77, 2], Operations: ['95-52=43', '86/43=2'] Exploring Operation: 77-2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 62, 61, 1, 99 ]
98
[ "62-61=1", "1*99=99", "99-1=98" ]
Current State: 98:[62, 61, 1, 99], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [1, 99, 1] Generated Node #2: [1, 99, 1] from Operation: 62-61=1 Current State: 98:[1, 99, 1], Operations: ['62-61=1'] Exploring Operation: 1*99=99, Resulting Numbers: [99] 99,98 equal: Goal Reached Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 93, 66, 56, 14 ]
97
[ "93-66=27", "56+14=70", "27+70=97" ]
Current State: 97:[93, 66, 56, 14], Operations: [] Exploring Operation: 93-66=27, Resulting Numbers: [56, 14, 27] Generated Node #2: [56, 14, 27] from Operation: 93-66=27 Current State: 97:[56, 14, 27], Operations: ['93-66=27'] Exploring Operation: 56+14=70, Resulting Numbers: [27, 70] Generated Node #3: [27, 70] from Operation: 56+14=70 Current State: 97:[27, 70], Operations: ['93-66=27', '56+14=70'] Exploring Operation: 27+70=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 37, 15, 2, 23 ]
82
[ "37*2=74", "23-15=8", "74+8=82" ]
Current State: 82:[37, 15, 2, 23], Operations: [] Exploring Operation: 37*2=74, Resulting Numbers: [15, 23, 74] Generated Node #2: [15, 23, 74] from Operation: 37*2=74 Current State: 82:[15, 23, 74], Operations: ['37*2=74'] Exploring Operation: 23-15=8, Resulting Numbers: [74, 8] Generated Node #3: [74, 8] from Operation: 23-15=8 Current State: 82:[74, 8], Operations: ['37*2=74', '23-15=8'] Exploring Operation: 74+8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 84, 12, 44, 31 ]
68
[ "84/12=7", "44+31=75", "75-7=68" ]
Current State: 68:[84, 12, 44, 31], Operations: [] Exploring Operation: 84/12=7, Resulting Numbers: [44, 31, 7] Generated Node #2: [44, 31, 7] from Operation: 84/12=7 Current State: 68:[44, 31, 7], Operations: ['84/12=7'] Exploring Operation: 44+31=75, Resulting Numbers: [7, 75] Generated Node #3: [7, 75] from Operation: 44+31=75 Current State: 68:[7, 75], Operations: ['84/12=7', '44+31=75'] Exploring Operation: 75-7=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 30, 92, 28, 74 ]
16
[ "92-30=62", "74-28=46", "62-46=16" ]
Current State: 16:[30, 92, 28, 74], Operations: [] Exploring Operation: 92-30=62, Resulting Numbers: [28, 74, 62] Generated Node #2: [28, 74, 62] from Operation: 92-30=62 Current State: 16:[28, 74, 62], Operations: ['92-30=62'] Exploring Operation: 74-28=46, Resulting Numbers: [62, 46] Generated Node #3: [62, 46] from Operation: 74-28=46 Current State: 16:[62, 46], Operations: ['92-30=62', '74-28=46'] Exploring Operation: 62-46=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 39, 78, 13, 39 ]
15
[ "39*13=507", "78+507=585", "585/39=15" ]
Current State: 15:[39, 78, 13, 39], Operations: [] Exploring Operation: 39*13=507, Resulting Numbers: [78, 507] Generated Node #2: [78, 507] from Operation: 39*13=507 Current State: 15:[78, 507], Operations: ['39*13=507'] Exploring Operation: 78+507=585, Resulting Numbers: [585] 585,15 equal: Goal Reached Exploring Operation: 585/39=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4