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
[ 47, 14, 55, 63 ]
49
[ "55-47=8", "14*8=112", "112-63=49" ]
Current State: 49:[47, 14, 55, 63], Operations: [] Exploring Operation: 55-47=8, Resulting Numbers: [14, 63, 8] Generated Node #2: [14, 63, 8] from Operation: 55-47=8 Current State: 49:[14, 63, 8], Operations: ['55-47=8'] Exploring Operation: 14*8=112, Resulting Numbers: [63, 112] Generated Node #3: [63, 112] from Operation: 14*8=112 Current State: 49:[63, 112], Operations: ['55-47=8', '14*8=112'] Exploring Operation: 112-63=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 53, 61, 79, 64 ]
23
[ "61-53=8", "79-64=15", "8+15=23" ]
Current State: 23:[53, 61, 79, 64], Operations: [] Exploring Operation: 61-53=8, Resulting Numbers: [79, 64, 8] Generated Node #2: [79, 64, 8] from Operation: 61-53=8 Current State: 23:[79, 64, 8], Operations: ['61-53=8'] Exploring Operation: 79-64=15, Resulting Numbers: [8, 15] Generated Node #3: [8, 15] from Operation: 79-64=15 Current State: 23:[8, 15], Operations: ['61-53=8', '79-64=15'] Exploring Operation: 8+15=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 23, 80, 91, 70 ]
82
[ "23+80=103", "91-70=21", "103-21=82" ]
Current State: 82:[23, 80, 91, 70], Operations: [] Exploring Operation: 23+80=103, Resulting Numbers: [91, 70, 103] Generated Node #2: [91, 70, 103] from Operation: 23+80=103 Current State: 82:[91, 70, 103], Operations: ['23+80=103'] Exploring Operation: 91-70=21, Resulting Numbers: [103, 21] Generated Node #3: [103, 21] from Operation: 91-70=21 Current State: 82:[103, 21], Operations: ['23+80=103', '91-70=21'] Exploring Operation: 103-21=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 69, 4, 2, 38 ]
39
[ "69-38=31", "4*2=8", "31+8=39" ]
Current State: 39:[69, 4, 2, 38], Operations: [] Exploring Operation: 69-38=31, Resulting Numbers: [4, 2, 31] Generated Node #2: [4, 2, 31] from Operation: 69-38=31 Current State: 39:[4, 2, 31], Operations: ['69-38=31'] Exploring Operation: 4*2=8, Resulting Numbers: [31, 8] Generated Node #3: [31, 8] from Operation: 4*2=8 Current State: 39:[31, 8], Operations: ['69-38=31', '4*2=8'] Exploring Operation: 31+8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 15, 32, 11, 84 ]
11
[ "15-11=4", "84/4=21", "32-21=11" ]
Current State: 11:[15, 32, 11, 84], Operations: [] Exploring Operation: 15-11=4, Resulting Numbers: [32, 84, 4] Generated Node #2: [32, 84, 4] from Operation: 15-11=4 Current State: 11:[32, 84, 4], Operations: ['15-11=4'] Exploring Operation: 84/4=21, Resulting Numbers: [32, 21] Generated Node #3: [32, 21] from Operation: 84/4=21 Current State: 11:[32, 21], Operations: ['15-11=4', '84/4=21'] Exploring Operation: 32-21=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 44, 22, 65, 7 ]
89
[ "44-22=22", "7*22=154", "154-65=89" ]
Current State: 89:[44, 22, 65, 7], Operations: [] Exploring Operation: 44-22=22, Resulting Numbers: [65, 7, 22] Generated Node #2: [65, 7, 22] from Operation: 44-22=22 Current State: 89:[65, 7, 22], Operations: ['44-22=22'] Exploring Operation: 7*22=154, Resulting Numbers: [65, 154] Generated Node #3: [65, 154] from Operation: 7*22=154 Current State: 89:[65, 154], Operations: ['44-22=22', '7*22=154'] Exploring Operation: 154-65=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 33, 8, 75, 2 ]
32
[ "33+8=41", "75-2=73", "73-41=32" ]
Current State: 32:[33, 8, 75, 2], Operations: [] Exploring Operation: 33+8=41, Resulting Numbers: [75, 2, 41] Generated Node #2: [75, 2, 41] from Operation: 33+8=41 Current State: 32:[75, 2, 41], Operations: ['33+8=41'] Exploring Operation: 75-2=73, Resulting Numbers: [41, 73] Generated Node #3: [41, 73] from Operation: 75-2=73 Current State: 32:[41, 73], Operations: ['33+8=41', '75-2=73'] Exploring Operation: 73-41=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 97, 31, 23, 73 ]
16
[ "97-31=66", "73-23=50", "66-50=16" ]
Current State: 16:[97, 31, 23, 73], Operations: [] Exploring Operation: 97-31=66, Resulting Numbers: [23, 73, 66] Generated Node #2: [23, 73, 66] from Operation: 97-31=66 Current State: 16:[23, 73, 66], Operations: ['97-31=66'] Exploring Operation: 73-23=50, Resulting Numbers: [66, 50] Generated Node #3: [66, 50] from Operation: 73-23=50 Current State: 16:[66, 50], Operations: ['97-31=66', '73-23=50'] Exploring Operation: 66-50=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 4, 45, 2, 51 ]
32
[ "45-2=43", "51-43=8", "4*8=32" ]
Current State: 32:[4, 45, 2, 51], Operations: [] Exploring Operation: 45-2=43, Resulting Numbers: [4, 51, 43] Generated Node #2: [4, 51, 43] from Operation: 45-2=43 Current State: 32:[4, 51, 43], Operations: ['45-2=43'] Exploring Operation: 51-43=8, Resulting Numbers: [4, 8] Generated Node #3: [4, 8] from Operation: 51-43=8 Current State: 32:[4, 8], Operations: ['45-2=43', '51-43=8'] Exploring Operation: 4*8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 97, 18, 6 ]
78
[ "6/6=1", "97-18=79", "79-1=78" ]
Current State: 78:[6, 97, 18, 6], Operations: [] Exploring Operation: 6/6=1, Resulting Numbers: [97, 18, 1] Generated Node #2: [97, 18, 1] from Operation: 6/6=1 Current State: 78:[97, 18, 1], Operations: ['6/6=1'] Exploring Operation: 97-18=79, Resulting Numbers: [1, 79] Generated Node #3: [1, 79] from Operation: 97-18=79 Current State: 78:[1, 79], Operations: ['6/6=1', '97-18=79'] Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 11, 95, 2, 7 ]
75
[ "95-11=84", "2+7=9", "84-9=75" ]
Current State: 75:[11, 95, 2, 7], Operations: [] Exploring Operation: 95-11=84, Resulting Numbers: [2, 7, 84] Generated Node #2: [2, 7, 84] from Operation: 95-11=84 Current State: 75:[2, 7, 84], Operations: ['95-11=84'] Exploring Operation: 2+7=9, Resulting Numbers: [84, 9] Generated Node #3: [84, 9] from Operation: 2+7=9 Current State: 75:[84, 9], Operations: ['95-11=84', '2+7=9'] Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 92, 87, 38, 87 ]
55
[ "92-38=54", "87/87=1", "54+1=55" ]
Current State: 55:[92, 87, 38, 87], Operations: [] Exploring Operation: 92-38=54, Resulting Numbers: [87, 87, 54] Generated Node #2: [87, 87, 54] from Operation: 92-38=54 Current State: 55:[87, 87, 54], Operations: ['92-38=54'] Exploring Operation: 87/87=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 87/87=1 Current State: 55:[54, 1], Operations: ['92-38=54', '87/87=1'] Exploring Operation: 54+1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 12, 33, 16, 27 ]
56
[ "12+33=45", "27-16=11", "45+11=56" ]
Current State: 56:[12, 33, 16, 27], Operations: [] Exploring Operation: 12+33=45, Resulting Numbers: [16, 27, 45] Generated Node #2: [16, 27, 45] from Operation: 12+33=45 Current State: 56:[16, 27, 45], Operations: ['12+33=45'] Exploring Operation: 27-16=11, Resulting Numbers: [45, 11] Generated Node #3: [45, 11] from Operation: 27-16=11 Current State: 56:[45, 11], Operations: ['12+33=45', '27-16=11'] Exploring Operation: 45+11=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 42, 66, 70, 57 ]
95
[ "42+66=108", "70-57=13", "108-13=95" ]
Current State: 95:[42, 66, 70, 57], Operations: [] Exploring Operation: 42+66=108, Resulting Numbers: [70, 57, 108] Generated Node #2: [70, 57, 108] from Operation: 42+66=108 Current State: 95:[70, 57, 108], Operations: ['42+66=108'] Exploring Operation: 70-57=13, Resulting Numbers: [108, 13] Generated Node #3: [108, 13] from Operation: 70-57=13 Current State: 95:[108, 13], Operations: ['42+66=108', '70-57=13'] Exploring Operation: 108-13=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 80, 66, 21, 42 ]
70
[ "80*21=1680", "66-42=24", "1680/24=70" ]
Current State: 70:[80, 66, 21, 42], Operations: [] Exploring Operation: 80*21=1680, Resulting Numbers: [66, 42, 1680] Generated Node #2: [66, 42, 1680] from Operation: 80*21=1680 Current State: 70:[66, 42, 1680], Operations: ['80*21=1680'] Exploring Operation: 66-42=24, Resulting Numbers: [1680, 24] Generated Node #3: [1680, 24] from Operation: 66-42=24 Current State: 70:[1680, 24], Operations: ['80*21=1680', '66-42=24'] Exploring Operation: 1680/24=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 97, 33, 82, 18 ]
30
[ "97+33=130", "82+18=100", "130-100=30" ]
Current State: 30:[97, 33, 82, 18], Operations: [] Exploring Operation: 97+33=130, Resulting Numbers: [82, 18, 130] Generated Node #2: [82, 18, 130] from Operation: 97+33=130 Current State: 30:[82, 18, 130], Operations: ['97+33=130'] Exploring Operation: 82+18=100, Resulting Numbers: [130, 100] Generated Node #3: [130, 100] from Operation: 82+18=100 Current State: 30:[130, 100], Operations: ['97+33=130', '82+18=100'] Exploring Operation: 130-100=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 55, 64, 54, 1 ]
65
[ "55+64=119", "54*1=54", "119-54=65" ]
Current State: 65:[55, 64, 54, 1], Operations: [] Exploring Operation: 55+64=119, Resulting Numbers: [54, 1, 119] Generated Node #2: [54, 1, 119] from Operation: 55+64=119 Current State: 65:[54, 1, 119], Operations: ['55+64=119'] Exploring Operation: 54*1=54, Resulting Numbers: [119, 54] Generated Node #3: [119, 54] from Operation: 54*1=54 Current State: 65:[119, 54], Operations: ['55+64=119', '54*1=54'] Exploring Operation: 119-54=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 40, 3, 7, 64 ]
24
[ "7-3=4", "64/4=16", "40-16=24" ]
Current State: 24:[40, 3, 7, 64], Operations: [] Exploring Operation: 7-3=4, Resulting Numbers: [40, 64, 4] Generated Node #2: [40, 64, 4] from Operation: 7-3=4 Current State: 24:[40, 64, 4], Operations: ['7-3=4'] Exploring Operation: 64/4=16, Resulting Numbers: [40, 16] Generated Node #3: [40, 16] from Operation: 64/4=16 Current State: 24:[40, 16], Operations: ['7-3=4', '64/4=16'] Exploring Operation: 40-16=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 77, 80, 44, 42 ]
83
[ "80-77=3", "44+42=86", "86-3=83" ]
Current State: 83:[77, 80, 44, 42], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [44, 42, 3] Generated Node #2: [44, 42, 3] from Operation: 80-77=3 Current State: 83:[44, 42, 3], Operations: ['80-77=3'] Exploring Operation: 44+42=86, Resulting Numbers: [3, 86] Generated Node #3: [3, 86] from Operation: 44+42=86 Current State: 83:[3, 86], Operations: ['80-77=3', '44+42=86'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 8, 24, 80, 3 ]
82
[ "80/8=10", "24*3=72", "10+72=82" ]
Current State: 82:[8, 24, 80, 3], Operations: [] Exploring Operation: 80/8=10, Resulting Numbers: [24, 3, 10] Generated Node #2: [24, 3, 10] from Operation: 80/8=10 Current State: 82:[24, 3, 10], Operations: ['80/8=10'] Exploring Operation: 24*3=72, Resulting Numbers: [10, 72] Generated Node #3: [10, 72] from Operation: 24*3=72 Current State: 82:[10, 72], Operations: ['80/8=10', '24*3=72'] Exploring Operation: 10+72=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 36, 75, 18, 31 ]
62
[ "36+75=111", "18+31=49", "111-49=62" ]
Current State: 62:[36, 75, 18, 31], Operations: [] Exploring Operation: 36+75=111, Resulting Numbers: [18, 31, 111] Generated Node #2: [18, 31, 111] from Operation: 36+75=111 Current State: 62:[18, 31, 111], Operations: ['36+75=111'] Exploring Operation: 18+31=49, Resulting Numbers: [111, 49] Generated Node #3: [111, 49] from Operation: 18+31=49 Current State: 62:[111, 49], Operations: ['36+75=111', '18+31=49'] Exploring Operation: 111-49=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 25, 12, 8, 80 ]
31
[ "80-8=72", "72/12=6", "25+6=31" ]
Current State: 31:[25, 12, 8, 80], Operations: [] Exploring Operation: 80-8=72, Resulting Numbers: [25, 12, 72] Generated Node #2: [25, 12, 72] from Operation: 80-8=72 Current State: 31:[25, 12, 72], Operations: ['80-8=72'] Exploring Operation: 72/12=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 72/12=6 Current State: 31:[25, 6], Operations: ['80-8=72', '72/12=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 18, 1, 45, 89 ]
27
[ "18-1=17", "89-45=44", "44-17=27" ]
Current State: 27:[18, 1, 45, 89], Operations: [] Exploring Operation: 18-1=17, Resulting Numbers: [45, 89, 17] Generated Node #2: [45, 89, 17] from Operation: 18-1=17 Current State: 27:[45, 89, 17], Operations: ['18-1=17'] Exploring Operation: 89-45=44, Resulting Numbers: [17, 44] Generated Node #3: [17, 44] from Operation: 89-45=44 Current State: 27:[17, 44], Operations: ['18-1=17', '89-45=44'] Exploring Operation: 44-17=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 13, 63, 6, 62 ]
65
[ "63-6=57", "62-57=5", "13*5=65" ]
Current State: 65:[13, 63, 6, 62], Operations: [] Exploring Operation: 63-6=57, Resulting Numbers: [13, 62, 57] Generated Node #2: [13, 62, 57] from Operation: 63-6=57 Current State: 65:[13, 62, 57], Operations: ['63-6=57'] Exploring Operation: 62-57=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 62-57=5 Current State: 65:[13, 5], Operations: ['63-6=57', '62-57=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 70, 64, 13, 27 ]
34
[ "70-64=6", "13+27=40", "40-6=34" ]
Current State: 34:[70, 64, 13, 27], Operations: [] Exploring Operation: 70-64=6, Resulting Numbers: [13, 27, 6] Generated Node #2: [13, 27, 6] from Operation: 70-64=6 Current State: 34:[13, 27, 6], Operations: ['70-64=6'] Exploring Operation: 13+27=40, Resulting Numbers: [6, 40] Generated Node #3: [6, 40] from Operation: 13+27=40 Current State: 34:[6, 40], Operations: ['70-64=6', '13+27=40'] Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 29, 67, 36, 25 ]
35
[ "29+67=96", "36+25=61", "96-61=35" ]
Current State: 35:[29, 67, 36, 25], Operations: [] Exploring Operation: 29+67=96, Resulting Numbers: [36, 25, 96] Generated Node #2: [36, 25, 96] from Operation: 29+67=96 Current State: 35:[36, 25, 96], Operations: ['29+67=96'] Exploring Operation: 36+25=61, Resulting Numbers: [96, 61] Generated Node #3: [96, 61] from Operation: 36+25=61 Current State: 35:[96, 61], Operations: ['29+67=96', '36+25=61'] Exploring Operation: 96-61=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 48, 85, 51, 99 ]
11
[ "85-48=37", "99-51=48", "48-37=11" ]
Current State: 11:[48, 85, 51, 99], Operations: [] Exploring Operation: 85-48=37, Resulting Numbers: [51, 99, 37] Generated Node #2: [51, 99, 37] from Operation: 85-48=37 Current State: 11:[51, 99, 37], Operations: ['85-48=37'] Exploring Operation: 99-51=48, Resulting Numbers: [37, 48] Generated Node #3: [37, 48] from Operation: 99-51=48 Current State: 11:[37, 48], Operations: ['85-48=37', '99-51=48'] Exploring Operation: 48-37=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 17, 14, 89, 8 ]
65
[ "17-14=3", "8*3=24", "89-24=65" ]
Current State: 65:[17, 14, 89, 8], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [89, 8, 3] Generated Node #2: [89, 8, 3] from Operation: 17-14=3 Current State: 65:[89, 8, 3], Operations: ['17-14=3'] Exploring Operation: 8*3=24, Resulting Numbers: [89, 24] Generated Node #3: [89, 24] from Operation: 8*3=24 Current State: 65:[89, 24], Operations: ['17-14=3', '8*3=24'] Exploring Operation: 89-24=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 59, 28, 98, 77 ]
81
[ "28*77=2156", "2156/98=22", "59+22=81" ]
Current State: 81:[59, 28, 98, 77], Operations: [] Exploring Operation: 28*77=2156, Resulting Numbers: [59, 98, 2156] Generated Node #2: [59, 98, 2156] from Operation: 28*77=2156 Current State: 81:[59, 98, 2156], Operations: ['28*77=2156'] Exploring Operation: 2156/98=22, Resulting Numbers: [59, 22] Generated Node #3: [59, 22] from Operation: 2156/98=22 Current State: 81:[59, 22], Operations: ['28*77=2156', '2156/98=22'] Exploring Operation: 59+22=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 91, 24, 77, 8 ]
45
[ "91+77=168", "168/8=21", "24+21=45" ]
Current State: 45:[91, 24, 77, 8], Operations: [] Exploring Operation: 91+77=168, Resulting Numbers: [24, 8, 168] Generated Node #2: [24, 8, 168] from Operation: 91+77=168 Current State: 45:[24, 8, 168], Operations: ['91+77=168'] Exploring Operation: 168/8=21, Resulting Numbers: [24, 21] Generated Node #3: [24, 21] from Operation: 168/8=21 Current State: 45:[24, 21], Operations: ['91+77=168', '168/8=21'] Exploring Operation: 24+21=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 30, 22, 81, 68 ]
78
[ "22+68=90", "90/30=3", "81-3=78" ]
Current State: 78:[30, 22, 81, 68], Operations: [] Exploring Operation: 22+68=90, Resulting Numbers: [30, 81, 90] Generated Node #2: [30, 81, 90] from Operation: 22+68=90 Current State: 78:[30, 81, 90], Operations: ['22+68=90'] Exploring Operation: 90/30=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 90/30=3 Current State: 78:[81, 3], Operations: ['22+68=90', '90/30=3'] Exploring Operation: 81-3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 4, 82, 25, 81 ]
20
[ "4+82=86", "25+81=106", "106-86=20" ]
Current State: 20:[4, 82, 25, 81], Operations: [] Exploring Operation: 4+82=86, Resulting Numbers: [25, 81, 86] Generated Node #2: [25, 81, 86] from Operation: 4+82=86 Current State: 20:[25, 81, 86], Operations: ['4+82=86'] Exploring Operation: 25+81=106, Resulting Numbers: [86, 106] Generated Node #3: [86, 106] from Operation: 25+81=106 Current State: 20:[86, 106], Operations: ['4+82=86', '25+81=106'] Exploring Operation: 106-86=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 3, 29, 29, 6 ]
52
[ "3*29=87", "29+6=35", "87-35=52" ]
Current State: 52:[3, 29, 29, 6], Operations: [] Exploring Operation: 3*29=87, Resulting Numbers: [6, 87] Generated Node #2: [6, 87] from Operation: 3*29=87 Current State: 52:[6, 87], Operations: ['3*29=87'] Exploring Operation: 29+6=35, Resulting Numbers: [87, 35] Generated Node #3: [87, 35] from Operation: 29+6=35 Current State: 52:[87, 35], Operations: ['3*29=87', '29+6=35'] Exploring Operation: 87-35=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 37, 49, 2, 69 ]
75
[ "49-37=12", "12/2=6", "69+6=75" ]
Current State: 75:[37, 49, 2, 69], Operations: [] Exploring Operation: 49-37=12, Resulting Numbers: [2, 69, 12] Generated Node #2: [2, 69, 12] from Operation: 49-37=12 Current State: 75:[2, 69, 12], Operations: ['49-37=12'] Exploring Operation: 12/2=6, Resulting Numbers: [69, 6] Generated Node #3: [69, 6] from Operation: 12/2=6 Current State: 75:[69, 6], Operations: ['49-37=12', '12/2=6'] Exploring Operation: 69+6=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 72, 13, 72, 90 ]
90
[ "72-72=0", "13*0=0", "90+0=90" ]
Current State: 90:[72, 13, 72, 90], Operations: [] Exploring Operation: 72-72=0, Resulting Numbers: [13, 90, 0] Generated Node #2: [13, 90, 0] from Operation: 72-72=0 Current State: 90:[13, 90, 0], Operations: ['72-72=0'] Exploring Operation: 13*0=0, Resulting Numbers: [90, 0] Generated Node #3: [90, 0] from Operation: 13*0=0 Current State: 90:[90, 0], Operations: ['72-72=0', '13*0=0'] Exploring Operation: 90+0=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 56, 92, 84, 98 ]
42
[ "92-56=36", "98*36=3528", "3528/84=42" ]
Current State: 42:[56, 92, 84, 98], Operations: [] Exploring Operation: 92-56=36, Resulting Numbers: [84, 98, 36] Generated Node #2: [84, 98, 36] from Operation: 92-56=36 Current State: 42:[84, 98, 36], Operations: ['92-56=36'] Exploring Operation: 98*36=3528, Resulting Numbers: [84, 3528] Generated Node #3: [84, 3528] from Operation: 98*36=3528 Current State: 42:[84, 3528], Operations: ['92-56=36', '98*36=3528'] Exploring Operation: 3528/84=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 61, 25, 55, 65 ]
85
[ "61-55=6", "25*6=150", "150-65=85" ]
Current State: 85:[61, 25, 55, 65], Operations: [] Exploring Operation: 61-55=6, Resulting Numbers: [25, 65, 6] Generated Node #2: [25, 65, 6] from Operation: 61-55=6 Current State: 85:[25, 65, 6], Operations: ['61-55=6'] Exploring Operation: 25*6=150, Resulting Numbers: [65, 150] Generated Node #3: [65, 150] from Operation: 25*6=150 Current State: 85:[65, 150], Operations: ['61-55=6', '25*6=150'] Exploring Operation: 150-65=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 58, 19, 35, 47 ]
27
[ "58-19=39", "47-35=12", "39-12=27" ]
Current State: 27:[58, 19, 35, 47], Operations: [] Exploring Operation: 58-19=39, Resulting Numbers: [35, 47, 39] Generated Node #2: [35, 47, 39] from Operation: 58-19=39 Current State: 27:[35, 47, 39], Operations: ['58-19=39'] Exploring Operation: 47-35=12, Resulting Numbers: [39, 12] Generated Node #3: [39, 12] from Operation: 47-35=12 Current State: 27:[39, 12], Operations: ['58-19=39', '47-35=12'] Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 33, 57, 4, 42 ]
27
[ "57-42=15", "4*15=60", "60-33=27" ]
Current State: 27:[33, 57, 4, 42], Operations: [] Exploring Operation: 57-42=15, Resulting Numbers: [33, 4, 15] Generated Node #2: [33, 4, 15] from Operation: 57-42=15 Current State: 27:[33, 4, 15], Operations: ['57-42=15'] Exploring Operation: 4*15=60, Resulting Numbers: [33, 60] Generated Node #3: [33, 60] from Operation: 4*15=60 Current State: 27:[33, 60], Operations: ['57-42=15', '4*15=60'] Exploring Operation: 60-33=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 22, 24, 64, 21 ]
34
[ "64*21=1344", "1344/24=56", "56-22=34" ]
Current State: 34:[22, 24, 64, 21], Operations: [] Exploring Operation: 64*21=1344, Resulting Numbers: [22, 24, 1344] Generated Node #2: [22, 24, 1344] from Operation: 64*21=1344 Current State: 34:[22, 24, 1344], Operations: ['64*21=1344'] Exploring Operation: 1344/24=56, Resulting Numbers: [22, 56] Generated Node #3: [22, 56] from Operation: 1344/24=56 Current State: 34:[22, 56], Operations: ['64*21=1344', '1344/24=56'] Exploring Operation: 56-22=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 42, 9, 45, 35 ]
61
[ "42+9=51", "45-35=10", "51+10=61" ]
Current State: 61:[42, 9, 45, 35], Operations: [] Exploring Operation: 42+9=51, Resulting Numbers: [45, 35, 51] Generated Node #2: [45, 35, 51] from Operation: 42+9=51 Current State: 61:[45, 35, 51], Operations: ['42+9=51'] Exploring Operation: 45-35=10, Resulting Numbers: [51, 10] Generated Node #3: [51, 10] from Operation: 45-35=10 Current State: 61:[51, 10], Operations: ['42+9=51', '45-35=10'] Exploring Operation: 51+10=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 57, 80, 56, 57 ]
23
[ "80-57=23", "57-56=1", "23*1=23" ]
Current State: 23:[57, 80, 56, 57], Operations: [] Exploring Operation: 80-57=23, Resulting Numbers: [56, 23] Generated Node #2: [56, 23] from Operation: 80-57=23 Current State: 23:[56, 23], Operations: ['80-57=23'] Exploring Operation: 57-56=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 57-56=1 Current State: 23:[23, 1], Operations: ['80-57=23', '57-56=1'] Exploring Operation: 23*1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 98, 7, 38, 97 ]
73
[ "98/7=14", "97-38=59", "14+59=73" ]
Current State: 73:[98, 7, 38, 97], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [38, 97, 14] Generated Node #2: [38, 97, 14] from Operation: 98/7=14 Current State: 73:[38, 97, 14], Operations: ['98/7=14'] Exploring Operation: 97-38=59, Resulting Numbers: [14, 59] Generated Node #3: [14, 59] from Operation: 97-38=59 Current State: 73:[14, 59], Operations: ['98/7=14', '97-38=59'] Exploring Operation: 14+59=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 75, 3, 67, 72 ]
86
[ "75*3=225", "67+72=139", "225-139=86" ]
Current State: 86:[75, 3, 67, 72], Operations: [] Exploring Operation: 75*3=225, Resulting Numbers: [67, 72, 225] Generated Node #2: [67, 72, 225] from Operation: 75*3=225 Current State: 86:[67, 72, 225], Operations: ['75*3=225'] Exploring Operation: 67+72=139, Resulting Numbers: [225, 139] Generated Node #3: [225, 139] from Operation: 67+72=139 Current State: 86:[225, 139], Operations: ['75*3=225', '67+72=139'] Exploring Operation: 225-139=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 59, 46, 17, 1 ]
87
[ "59+46=105", "17+1=18", "105-18=87" ]
Current State: 87:[59, 46, 17, 1], Operations: [] Exploring Operation: 59+46=105, Resulting Numbers: [17, 1, 105] Generated Node #2: [17, 1, 105] from Operation: 59+46=105 Current State: 87:[17, 1, 105], Operations: ['59+46=105'] Exploring Operation: 17+1=18, Resulting Numbers: [105, 18] Generated Node #3: [105, 18] from Operation: 17+1=18 Current State: 87:[105, 18], Operations: ['59+46=105', '17+1=18'] Exploring Operation: 105-18=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 35, 11, 1, 17 ]
62
[ "35+11=46", "17-1=16", "46+16=62" ]
Current State: 62:[35, 11, 1, 17], Operations: [] Exploring Operation: 35+11=46, Resulting Numbers: [1, 17, 46] Generated Node #2: [1, 17, 46] from Operation: 35+11=46 Current State: 62:[1, 17, 46], Operations: ['35+11=46'] Exploring Operation: 17-1=16, Resulting Numbers: [46, 16] Generated Node #3: [46, 16] from Operation: 17-1=16 Current State: 62:[46, 16], Operations: ['35+11=46', '17-1=16'] Exploring Operation: 46+16=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 55, 6, 99, 80 ]
24
[ "55*6=330", "99*80=7920", "7920/330=24" ]
Current State: 24:[55, 6, 99, 80], Operations: [] Exploring Operation: 55*6=330, Resulting Numbers: [99, 80, 330] Generated Node #2: [99, 80, 330] from Operation: 55*6=330 Current State: 24:[99, 80, 330], Operations: ['55*6=330'] Exploring Operation: 99*80=7920, Resulting Numbers: [330, 7920] Generated Node #3: [330, 7920] from Operation: 99*80=7920 Current State: 24:[330, 7920], Operations: ['55*6=330', '99*80=7920'] Exploring Operation: 7920/330=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 61, 2, 32, 78 ]
25
[ "61*32=1952", "1952-2=1950", "1950/78=25" ]
Current State: 25:[61, 2, 32, 78], Operations: [] Exploring Operation: 61*32=1952, Resulting Numbers: [2, 78, 1952] Generated Node #2: [2, 78, 1952] from Operation: 61*32=1952 Current State: 25:[2, 78, 1952], Operations: ['61*32=1952'] Exploring Operation: 1952-2=1950, Resulting Numbers: [78, 1950] Generated Node #3: [78, 1950] from Operation: 1952-2=1950 Current State: 25:[78, 1950], Operations: ['61*32=1952', '1952-2=1950'] Exploring Operation: 1950/78=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 57, 4, 99, 52 ]
77
[ "57*4=228", "99+52=151", "228-151=77" ]
Current State: 77:[57, 4, 99, 52], Operations: [] Exploring Operation: 57*4=228, Resulting Numbers: [99, 52, 228] Generated Node #2: [99, 52, 228] from Operation: 57*4=228 Current State: 77:[99, 52, 228], Operations: ['57*4=228'] Exploring Operation: 99+52=151, Resulting Numbers: [228, 151] Generated Node #3: [228, 151] from Operation: 99+52=151 Current State: 77:[228, 151], Operations: ['57*4=228', '99+52=151'] Exploring Operation: 228-151=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 71, 86, 51, 57 ]
49
[ "71+86=157", "51+57=108", "157-108=49" ]
Current State: 49:[71, 86, 51, 57], Operations: [] Exploring Operation: 71+86=157, Resulting Numbers: [51, 57, 157] Generated Node #2: [51, 57, 157] from Operation: 71+86=157 Current State: 49:[51, 57, 157], Operations: ['71+86=157'] Exploring Operation: 51+57=108, Resulting Numbers: [157, 108] Generated Node #3: [157, 108] from Operation: 51+57=108 Current State: 49:[157, 108], Operations: ['71+86=157', '51+57=108'] Exploring Operation: 157-108=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 30, 90, 88, 92 ]
84
[ "88+92=180", "180/30=6", "90-6=84" ]
Current State: 84:[30, 90, 88, 92], Operations: [] Exploring Operation: 88+92=180, Resulting Numbers: [30, 90, 180] Generated Node #2: [30, 90, 180] from Operation: 88+92=180 Current State: 84:[30, 90, 180], Operations: ['88+92=180'] Exploring Operation: 180/30=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 180/30=6 Current State: 84:[90, 6], Operations: ['88+92=180', '180/30=6'] Exploring Operation: 90-6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 53, 17, 9, 92 ]
47
[ "53-17=36", "92-9=83", "83-36=47" ]
Current State: 47:[53, 17, 9, 92], Operations: [] Exploring Operation: 53-17=36, Resulting Numbers: [9, 92, 36] Generated Node #2: [9, 92, 36] from Operation: 53-17=36 Current State: 47:[9, 92, 36], Operations: ['53-17=36'] Exploring Operation: 92-9=83, Resulting Numbers: [36, 83] Generated Node #3: [36, 83] from Operation: 92-9=83 Current State: 47:[36, 83], Operations: ['53-17=36', '92-9=83'] Exploring Operation: 83-36=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 16, 18, 78, 59 ]
17
[ "18-16=2", "78-59=19", "19-2=17" ]
Current State: 17:[16, 18, 78, 59], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [78, 59, 2] Generated Node #2: [78, 59, 2] from Operation: 18-16=2 Current State: 17:[78, 59, 2], Operations: ['18-16=2'] Exploring Operation: 78-59=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 78-59=19 Current State: 17:[2, 19], Operations: ['18-16=2', '78-59=19'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 84, 44, 50, 33 ]
47
[ "50-44=6", "84/6=14", "33+14=47" ]
Current State: 47:[84, 44, 50, 33], Operations: [] Exploring Operation: 50-44=6, Resulting Numbers: [84, 33, 6] Generated Node #2: [84, 33, 6] from Operation: 50-44=6 Current State: 47:[84, 33, 6], Operations: ['50-44=6'] Exploring Operation: 84/6=14, Resulting Numbers: [33, 14] Generated Node #3: [33, 14] from Operation: 84/6=14 Current State: 47:[33, 14], Operations: ['50-44=6', '84/6=14'] Exploring Operation: 33+14=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 56, 71, 91, 96 ]
20
[ "71-56=15", "96-91=5", "15+5=20" ]
Current State: 20:[56, 71, 91, 96], Operations: [] Exploring Operation: 71-56=15, Resulting Numbers: [91, 96, 15] Generated Node #2: [91, 96, 15] from Operation: 71-56=15 Current State: 20:[91, 96, 15], Operations: ['71-56=15'] Exploring Operation: 96-91=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 96-91=5 Current State: 20:[15, 5], Operations: ['71-56=15', '96-91=5'] Exploring Operation: 15+5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 5, 20, 75, 10 ]
60
[ "5+20=25", "75+10=85", "85-25=60" ]
Current State: 60:[5, 20, 75, 10], Operations: [] Exploring Operation: 5+20=25, Resulting Numbers: [75, 10, 25] Generated Node #2: [75, 10, 25] from Operation: 5+20=25 Current State: 60:[75, 10, 25], Operations: ['5+20=25'] Exploring Operation: 75+10=85, Resulting Numbers: [25, 85] Generated Node #3: [25, 85] from Operation: 75+10=85 Current State: 60:[25, 85], Operations: ['5+20=25', '75+10=85'] Exploring Operation: 85-25=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 9, 12, 4, 32 ]
14
[ "32-12=20", "20/4=5", "9+5=14" ]
Current State: 14:[9, 12, 4, 32], Operations: [] Exploring Operation: 32-12=20, Resulting Numbers: [9, 4, 20] Generated Node #2: [9, 4, 20] from Operation: 32-12=20 Current State: 14:[9, 4, 20], Operations: ['32-12=20'] Exploring Operation: 20/4=5, Resulting Numbers: [9, 5] Generated Node #3: [9, 5] from Operation: 20/4=5 Current State: 14:[9, 5], Operations: ['32-12=20', '20/4=5'] Exploring Operation: 9+5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 38, 29, 74, 66 ]
17
[ "38-29=9", "74-66=8", "9+8=17" ]
Current State: 17:[38, 29, 74, 66], Operations: [] Exploring Operation: 38-29=9, Resulting Numbers: [74, 66, 9] Generated Node #2: [74, 66, 9] from Operation: 38-29=9 Current State: 17:[74, 66, 9], Operations: ['38-29=9'] Exploring Operation: 74-66=8, Resulting Numbers: [9, 8] Generated Node #3: [9, 8] from Operation: 74-66=8 Current State: 17:[9, 8], Operations: ['38-29=9', '74-66=8'] Exploring Operation: 9+8=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 42, 49, 17, 12 ]
67
[ "49-42=7", "12*7=84", "84-17=67" ]
Current State: 67:[42, 49, 17, 12], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [17, 12, 7] Generated Node #2: [17, 12, 7] from Operation: 49-42=7 Current State: 67:[17, 12, 7], Operations: ['49-42=7'] Exploring Operation: 12*7=84, Resulting Numbers: [17, 84] Generated Node #3: [17, 84] from Operation: 12*7=84 Current State: 67:[17, 84], Operations: ['49-42=7', '12*7=84'] Exploring Operation: 84-17=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 54, 3, 5, 27 ]
89
[ "54+3=57", "5+27=32", "57+32=89" ]
Current State: 89:[54, 3, 5, 27], Operations: [] Exploring Operation: 54+3=57, Resulting Numbers: [5, 27, 57] Generated Node #2: [5, 27, 57] from Operation: 54+3=57 Current State: 89:[5, 27, 57], Operations: ['54+3=57'] Exploring Operation: 5+27=32, Resulting Numbers: [57, 32] Generated Node #3: [57, 32] from Operation: 5+27=32 Current State: 89:[57, 32], Operations: ['54+3=57', '5+27=32'] Exploring Operation: 57+32=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 5, 24, 9, 46 ]
78
[ "9*46=414", "414-24=390", "390/5=78" ]
Current State: 78:[5, 24, 9, 46], Operations: [] Exploring Operation: 9*46=414, Resulting Numbers: [5, 24, 414] Generated Node #2: [5, 24, 414] from Operation: 9*46=414 Current State: 78:[5, 24, 414], Operations: ['9*46=414'] Exploring Operation: 414-24=390, Resulting Numbers: [5, 390] Generated Node #3: [5, 390] from Operation: 414-24=390 Current State: 78:[5, 390], Operations: ['9*46=414', '414-24=390'] Exploring Operation: 390/5=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 91, 2, 13 ]
53
[ "2+91=93", "13+93=106", "106/2=53" ]
Current State: 53:[2, 91, 2, 13], Operations: [] Exploring Operation: 2+91=93, Resulting Numbers: [13, 93] Generated Node #2: [13, 93] from Operation: 2+91=93 Current State: 53:[13, 93], Operations: ['2+91=93'] Exploring Operation: 13+93=106, Resulting Numbers: [106] 106,53 equal: Goal Reached Exploring Operation: 106/2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 87, 23, 51, 74 ]
44
[ "87+74=161", "161/23=7", "51-7=44" ]
Current State: 44:[87, 23, 51, 74], Operations: [] Exploring Operation: 87+74=161, Resulting Numbers: [23, 51, 161] Generated Node #2: [23, 51, 161] from Operation: 87+74=161 Current State: 44:[23, 51, 161], Operations: ['87+74=161'] Exploring Operation: 161/23=7, Resulting Numbers: [51, 7] Generated Node #3: [51, 7] from Operation: 161/23=7 Current State: 44:[51, 7], Operations: ['87+74=161', '161/23=7'] Exploring Operation: 51-7=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 29, 34, 29, 28 ]
34
[ "29-29=0", "28*0=0", "34+0=34" ]
Current State: 34:[29, 34, 29, 28], Operations: [] Exploring Operation: 29-29=0, Resulting Numbers: [34, 28, 0] Generated Node #2: [34, 28, 0] from Operation: 29-29=0 Current State: 34:[34, 28, 0], Operations: ['29-29=0'] Exploring Operation: 28*0=0, Resulting Numbers: [34, 0] Generated Node #3: [34, 0] from Operation: 28*0=0 Current State: 34:[34, 0], Operations: ['29-29=0', '28*0=0'] Exploring Operation: 34+0=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 86, 17, 69, 48 ]
47
[ "86-17=69", "69/69=1", "48-1=47" ]
Current State: 47:[86, 17, 69, 48], Operations: [] Exploring Operation: 86-17=69, Resulting Numbers: [69, 48, 69] Generated Node #2: [69, 48, 69] from Operation: 86-17=69 Current State: 47:[69, 48, 69], Operations: ['86-17=69'] Exploring Operation: 69/69=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 69/69=1 Current State: 47:[48, 1], Operations: ['86-17=69', '69/69=1'] Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 83, 71, 62, 84 ]
55
[ "83-71=12", "84/12=7", "62-7=55" ]
Current State: 55:[83, 71, 62, 84], Operations: [] Exploring Operation: 83-71=12, Resulting Numbers: [62, 84, 12] Generated Node #2: [62, 84, 12] from Operation: 83-71=12 Current State: 55:[62, 84, 12], Operations: ['83-71=12'] Exploring Operation: 84/12=7, Resulting Numbers: [62, 7] Generated Node #3: [62, 7] from Operation: 84/12=7 Current State: 55:[62, 7], Operations: ['83-71=12', '84/12=7'] Exploring Operation: 62-7=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 87, 37, 7, 85 ]
15
[ "87-85=2", "37-7=30", "30/2=15" ]
Current State: 15:[87, 37, 7, 85], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [37, 7, 2] Generated Node #2: [37, 7, 2] from Operation: 87-85=2 Current State: 15:[37, 7, 2], Operations: ['87-85=2'] Exploring Operation: 37-7=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 37-7=30 Current State: 15:[2, 30], Operations: ['87-85=2', '37-7=30'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 22, 96, 56, 12 ]
15
[ "96/12=8", "56/8=7", "22-7=15" ]
Current State: 15:[22, 96, 56, 12], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [22, 56, 8] Generated Node #2: [22, 56, 8] from Operation: 96/12=8 Current State: 15:[22, 56, 8], Operations: ['96/12=8'] Exploring Operation: 56/8=7, Resulting Numbers: [22, 7] Generated Node #3: [22, 7] from Operation: 56/8=7 Current State: 15:[22, 7], Operations: ['96/12=8', '56/8=7'] Exploring Operation: 22-7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 62, 32, 60, 84 ]
50
[ "62+32=94", "60+84=144", "144-94=50" ]
Current State: 50:[62, 32, 60, 84], Operations: [] Exploring Operation: 62+32=94, Resulting Numbers: [60, 84, 94] Generated Node #2: [60, 84, 94] from Operation: 62+32=94 Current State: 50:[60, 84, 94], Operations: ['62+32=94'] Exploring Operation: 60+84=144, Resulting Numbers: [94, 144] Generated Node #3: [94, 144] from Operation: 60+84=144 Current State: 50:[94, 144], Operations: ['62+32=94', '60+84=144'] Exploring Operation: 144-94=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 69, 34, 71, 43 ]
60
[ "71-69=2", "34/2=17", "43+17=60" ]
Current State: 60:[69, 34, 71, 43], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [34, 43, 2] Generated Node #2: [34, 43, 2] from Operation: 71-69=2 Current State: 60:[34, 43, 2], Operations: ['71-69=2'] Exploring Operation: 34/2=17, Resulting Numbers: [43, 17] Generated Node #3: [43, 17] from Operation: 34/2=17 Current State: 60:[43, 17], Operations: ['71-69=2', '34/2=17'] Exploring Operation: 43+17=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 68, 64, 40, 34 ]
22
[ "68+64=132", "40-34=6", "132/6=22" ]
Current State: 22:[68, 64, 40, 34], Operations: [] Exploring Operation: 68+64=132, Resulting Numbers: [40, 34, 132] Generated Node #2: [40, 34, 132] from Operation: 68+64=132 Current State: 22:[40, 34, 132], Operations: ['68+64=132'] Exploring Operation: 40-34=6, Resulting Numbers: [132, 6] Generated Node #3: [132, 6] from Operation: 40-34=6 Current State: 22:[132, 6], Operations: ['68+64=132', '40-34=6'] Exploring Operation: 132/6=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 36, 44, 32, 73 ]
76
[ "44-32=12", "36/12=3", "73+3=76" ]
Current State: 76:[36, 44, 32, 73], Operations: [] Exploring Operation: 44-32=12, Resulting Numbers: [36, 73, 12] Generated Node #2: [36, 73, 12] from Operation: 44-32=12 Current State: 76:[36, 73, 12], Operations: ['44-32=12'] Exploring Operation: 36/12=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 36/12=3 Current State: 76:[73, 3], Operations: ['44-32=12', '36/12=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 93, 28, 24, 39 ]
25
[ "93+24=117", "117/39=3", "28-3=25" ]
Current State: 25:[93, 28, 24, 39], Operations: [] Exploring Operation: 93+24=117, Resulting Numbers: [28, 39, 117] Generated Node #2: [28, 39, 117] from Operation: 93+24=117 Current State: 25:[28, 39, 117], Operations: ['93+24=117'] Exploring Operation: 117/39=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 117/39=3 Current State: 25:[28, 3], Operations: ['93+24=117', '117/39=3'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 52, 24, 13, 47 ]
67
[ "52/13=4", "24+47=71", "71-4=67" ]
Current State: 67:[52, 24, 13, 47], Operations: [] Exploring Operation: 52/13=4, Resulting Numbers: [24, 47, 4] Generated Node #2: [24, 47, 4] from Operation: 52/13=4 Current State: 67:[24, 47, 4], Operations: ['52/13=4'] Exploring Operation: 24+47=71, Resulting Numbers: [4, 71] Generated Node #3: [4, 71] from Operation: 24+47=71 Current State: 67:[4, 71], Operations: ['52/13=4', '24+47=71'] Exploring Operation: 71-4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 57, 14, 62, 63 ]
42
[ "57-14=43", "63-62=1", "43-1=42" ]
Current State: 42:[57, 14, 62, 63], Operations: [] Exploring Operation: 57-14=43, Resulting Numbers: [62, 63, 43] Generated Node #2: [62, 63, 43] from Operation: 57-14=43 Current State: 42:[62, 63, 43], Operations: ['57-14=43'] Exploring Operation: 63-62=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 63-62=1 Current State: 42:[43, 1], Operations: ['57-14=43', '63-62=1'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 36, 5, 20, 12 ]
18
[ "36/12=3", "20-5=15", "3+15=18" ]
Current State: 18:[36, 5, 20, 12], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [5, 20, 3] Generated Node #2: [5, 20, 3] from Operation: 36/12=3 Current State: 18:[5, 20, 3], Operations: ['36/12=3'] Exploring Operation: 20-5=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 20-5=15 Current State: 18:[3, 15], Operations: ['36/12=3', '20-5=15'] Exploring Operation: 3+15=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 92, 65, 79, 52 ]
26
[ "92+65=157", "79+52=131", "157-131=26" ]
Current State: 26:[92, 65, 79, 52], Operations: [] Exploring Operation: 92+65=157, Resulting Numbers: [79, 52, 157] Generated Node #2: [79, 52, 157] from Operation: 92+65=157 Current State: 26:[79, 52, 157], Operations: ['92+65=157'] Exploring Operation: 79+52=131, Resulting Numbers: [157, 131] Generated Node #3: [157, 131] from Operation: 79+52=131 Current State: 26:[157, 131], Operations: ['92+65=157', '79+52=131'] Exploring Operation: 157-131=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 69, 1, 57, 71 ]
83
[ "69*1=69", "71-57=14", "69+14=83" ]
Current State: 83:[69, 1, 57, 71], Operations: [] Exploring Operation: 69*1=69, Resulting Numbers: [57, 71, 69] Generated Node #2: [57, 71, 69] from Operation: 69*1=69 Current State: 83:[57, 71, 69], Operations: ['69*1=69'] Exploring Operation: 71-57=14, Resulting Numbers: [69, 14] Generated Node #3: [69, 14] from Operation: 71-57=14 Current State: 83:[69, 14], Operations: ['69*1=69', '71-57=14'] Exploring Operation: 69+14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 50, 31, 65, 29 ]
17
[ "50-31=19", "65-29=36", "36-19=17" ]
Current State: 17:[50, 31, 65, 29], Operations: [] Exploring Operation: 50-31=19, Resulting Numbers: [65, 29, 19] Generated Node #2: [65, 29, 19] from Operation: 50-31=19 Current State: 17:[65, 29, 19], Operations: ['50-31=19'] Exploring Operation: 65-29=36, Resulting Numbers: [19, 36] Generated Node #3: [19, 36] from Operation: 65-29=36 Current State: 17:[19, 36], Operations: ['50-31=19', '65-29=36'] Exploring Operation: 36-19=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 77, 68, 80, 39 ]
44
[ "77*68=5236", "80+39=119", "5236/119=44" ]
Current State: 44:[77, 68, 80, 39], Operations: [] Exploring Operation: 77*68=5236, Resulting Numbers: [80, 39, 5236] Generated Node #2: [80, 39, 5236] from Operation: 77*68=5236 Current State: 44:[80, 39, 5236], Operations: ['77*68=5236'] Exploring Operation: 80+39=119, Resulting Numbers: [5236, 119] Generated Node #3: [5236, 119] from Operation: 80+39=119 Current State: 44:[5236, 119], Operations: ['77*68=5236', '80+39=119'] Exploring Operation: 5236/119=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 81, 30, 88, 19 ]
56
[ "81-30=51", "88+19=107", "107-51=56" ]
Current State: 56:[81, 30, 88, 19], Operations: [] Exploring Operation: 81-30=51, Resulting Numbers: [88, 19, 51] Generated Node #2: [88, 19, 51] from Operation: 81-30=51 Current State: 56:[88, 19, 51], Operations: ['81-30=51'] Exploring Operation: 88+19=107, Resulting Numbers: [51, 107] Generated Node #3: [51, 107] from Operation: 88+19=107 Current State: 56:[51, 107], Operations: ['81-30=51', '88+19=107'] Exploring Operation: 107-51=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 1, 77, 6, 2 ]
44
[ "77-1=76", "76/2=38", "6+38=44" ]
Current State: 44:[1, 77, 6, 2], Operations: [] Exploring Operation: 77-1=76, Resulting Numbers: [6, 2, 76] Generated Node #2: [6, 2, 76] from Operation: 77-1=76 Current State: 44:[6, 2, 76], Operations: ['77-1=76'] Exploring Operation: 76/2=38, Resulting Numbers: [6, 38] Generated Node #3: [6, 38] from Operation: 76/2=38 Current State: 44:[6, 38], Operations: ['77-1=76', '76/2=38'] Exploring Operation: 6+38=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 23, 78, 76, 39 ]
85
[ "78-76=2", "23*2=46", "39+46=85" ]
Current State: 85:[23, 78, 76, 39], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [23, 39, 2] Generated Node #2: [23, 39, 2] from Operation: 78-76=2 Current State: 85:[23, 39, 2], Operations: ['78-76=2'] Exploring Operation: 23*2=46, Resulting Numbers: [39, 46] Generated Node #3: [39, 46] from Operation: 23*2=46 Current State: 85:[39, 46], Operations: ['78-76=2', '23*2=46'] Exploring Operation: 39+46=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 36, 15, 52, 64 ]
64
[ "36+15=51", "52-51=1", "64*1=64" ]
Current State: 64:[36, 15, 52, 64], Operations: [] Exploring Operation: 36+15=51, Resulting Numbers: [52, 64, 51] Generated Node #2: [52, 64, 51] from Operation: 36+15=51 Current State: 64:[52, 64, 51], Operations: ['36+15=51'] Exploring Operation: 52-51=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 52-51=1 Current State: 64:[64, 1], Operations: ['36+15=51', '52-51=1'] Exploring Operation: 64*1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 50, 79, 96, 8 ]
86
[ "96-79=17", "8*17=136", "136-50=86" ]
Current State: 86:[50, 79, 96, 8], Operations: [] Exploring Operation: 96-79=17, Resulting Numbers: [50, 8, 17] Generated Node #2: [50, 8, 17] from Operation: 96-79=17 Current State: 86:[50, 8, 17], Operations: ['96-79=17'] Exploring Operation: 8*17=136, Resulting Numbers: [50, 136] Generated Node #3: [50, 136] from Operation: 8*17=136 Current State: 86:[50, 136], Operations: ['96-79=17', '8*17=136'] Exploring Operation: 136-50=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 70, 5, 46, 16 ]
76
[ "70/5=14", "46+16=62", "14+62=76" ]
Current State: 76:[70, 5, 46, 16], Operations: [] Exploring Operation: 70/5=14, Resulting Numbers: [46, 16, 14] Generated Node #2: [46, 16, 14] from Operation: 70/5=14 Current State: 76:[46, 16, 14], Operations: ['70/5=14'] Exploring Operation: 46+16=62, Resulting Numbers: [14, 62] Generated Node #3: [14, 62] from Operation: 46+16=62 Current State: 76:[14, 62], Operations: ['70/5=14', '46+16=62'] Exploring Operation: 14+62=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 61, 12, 23, 92 ]
69
[ "61+12=73", "92/23=4", "73-4=69" ]
Current State: 69:[61, 12, 23, 92], Operations: [] Exploring Operation: 61+12=73, Resulting Numbers: [23, 92, 73] Generated Node #2: [23, 92, 73] from Operation: 61+12=73 Current State: 69:[23, 92, 73], Operations: ['61+12=73'] Exploring Operation: 92/23=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 92/23=4 Current State: 69:[73, 4], Operations: ['61+12=73', '92/23=4'] Exploring Operation: 73-4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 90, 71, 11, 74 ]
41
[ "74-71=3", "90/3=30", "11+30=41" ]
Current State: 41:[90, 71, 11, 74], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [90, 11, 3] Generated Node #2: [90, 11, 3] from Operation: 74-71=3 Current State: 41:[90, 11, 3], Operations: ['74-71=3'] Exploring Operation: 90/3=30, Resulting Numbers: [11, 30] Generated Node #3: [11, 30] from Operation: 90/3=30 Current State: 41:[11, 30], Operations: ['74-71=3', '90/3=30'] Exploring Operation: 11+30=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 58, 64, 34, 6 ]
16
[ "58-34=24", "64*6=384", "384/24=16" ]
Current State: 16:[58, 64, 34, 6], Operations: [] Exploring Operation: 58-34=24, Resulting Numbers: [64, 6, 24] Generated Node #2: [64, 6, 24] from Operation: 58-34=24 Current State: 16:[64, 6, 24], Operations: ['58-34=24'] Exploring Operation: 64*6=384, Resulting Numbers: [24, 384] Generated Node #3: [24, 384] from Operation: 64*6=384 Current State: 16:[24, 384], Operations: ['58-34=24', '64*6=384'] Exploring Operation: 384/24=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 65, 12, 20, 14 ]
85
[ "65-14=51", "20*51=1020", "1020/12=85" ]
Current State: 85:[65, 12, 20, 14], Operations: [] Exploring Operation: 65-14=51, Resulting Numbers: [12, 20, 51] Generated Node #2: [12, 20, 51] from Operation: 65-14=51 Current State: 85:[12, 20, 51], Operations: ['65-14=51'] Exploring Operation: 20*51=1020, Resulting Numbers: [12, 1020] Generated Node #3: [12, 1020] from Operation: 20*51=1020 Current State: 85:[12, 1020], Operations: ['65-14=51', '20*51=1020'] Exploring Operation: 1020/12=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 55, 63, 94, 40 ]
16
[ "55+63=118", "94+40=134", "134-118=16" ]
Current State: 16:[55, 63, 94, 40], Operations: [] Exploring Operation: 55+63=118, Resulting Numbers: [94, 40, 118] Generated Node #2: [94, 40, 118] from Operation: 55+63=118 Current State: 16:[94, 40, 118], Operations: ['55+63=118'] Exploring Operation: 94+40=134, Resulting Numbers: [118, 134] Generated Node #3: [118, 134] from Operation: 94+40=134 Current State: 16:[118, 134], Operations: ['55+63=118', '94+40=134'] Exploring Operation: 134-118=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 12, 87, 3, 94 ]
87
[ "87-3=84", "84/12=7", "94-7=87" ]
Current State: 87:[12, 87, 3, 94], Operations: [] Exploring Operation: 87-3=84, Resulting Numbers: [12, 94, 84] Generated Node #2: [12, 94, 84] from Operation: 87-3=84 Current State: 87:[12, 94, 84], Operations: ['87-3=84'] Exploring Operation: 84/12=7, Resulting Numbers: [94, 7] Generated Node #3: [94, 7] from Operation: 84/12=7 Current State: 87:[94, 7], Operations: ['87-3=84', '84/12=7'] Exploring Operation: 94-7=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 18, 33, 45, 27 ]
63
[ "18*45=810", "810/27=30", "33+30=63" ]
Current State: 63:[18, 33, 45, 27], Operations: [] Exploring Operation: 18*45=810, Resulting Numbers: [33, 27, 810] Generated Node #2: [33, 27, 810] from Operation: 18*45=810 Current State: 63:[33, 27, 810], Operations: ['18*45=810'] Exploring Operation: 810/27=30, Resulting Numbers: [33, 30] Generated Node #3: [33, 30] from Operation: 810/27=30 Current State: 63:[33, 30], Operations: ['18*45=810', '810/27=30'] Exploring Operation: 33+30=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 8, 26, 56, 67 ]
100
[ "56/8=7", "26+67=93", "7+93=100" ]
Current State: 100:[8, 26, 56, 67], Operations: [] Exploring Operation: 56/8=7, Resulting Numbers: [26, 67, 7] Generated Node #2: [26, 67, 7] from Operation: 56/8=7 Current State: 100:[26, 67, 7], Operations: ['56/8=7'] Exploring Operation: 26+67=93, Resulting Numbers: [7, 93] Generated Node #3: [7, 93] from Operation: 26+67=93 Current State: 100:[7, 93], Operations: ['56/8=7', '26+67=93'] Exploring Operation: 7+93=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 31, 24, 21, 2 ]
99
[ "31+2=33", "24-21=3", "33*3=99" ]
Current State: 99:[31, 24, 21, 2], Operations: [] Exploring Operation: 31+2=33, Resulting Numbers: [24, 21, 33] Generated Node #2: [24, 21, 33] from Operation: 31+2=33 Current State: 99:[24, 21, 33], Operations: ['31+2=33'] Exploring Operation: 24-21=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 24-21=3 Current State: 99:[33, 3], Operations: ['31+2=33', '24-21=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 7, 64, 43, 81 ]
95
[ "64-7=57", "81-43=38", "57+38=95" ]
Current State: 95:[7, 64, 43, 81], Operations: [] Exploring Operation: 64-7=57, Resulting Numbers: [43, 81, 57] Generated Node #2: [43, 81, 57] from Operation: 64-7=57 Current State: 95:[43, 81, 57], Operations: ['64-7=57'] Exploring Operation: 81-43=38, Resulting Numbers: [57, 38] Generated Node #3: [57, 38] from Operation: 81-43=38 Current State: 95:[57, 38], Operations: ['64-7=57', '81-43=38'] Exploring Operation: 57+38=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 57, 66, 56, 30 ]
35
[ "66-57=9", "56-30=26", "9+26=35" ]
Current State: 35:[57, 66, 56, 30], Operations: [] Exploring Operation: 66-57=9, Resulting Numbers: [56, 30, 9] Generated Node #2: [56, 30, 9] from Operation: 66-57=9 Current State: 35:[56, 30, 9], Operations: ['66-57=9'] Exploring Operation: 56-30=26, Resulting Numbers: [9, 26] Generated Node #3: [9, 26] from Operation: 56-30=26 Current State: 35:[9, 26], Operations: ['66-57=9', '56-30=26'] Exploring Operation: 9+26=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 11, 48, 13 ]
48
[ "11+13=24", "4*24=96", "96-48=48" ]
Current State: 48:[4, 11, 48, 13], Operations: [] Exploring Operation: 11+13=24, Resulting Numbers: [4, 48, 24] Generated Node #2: [4, 48, 24] from Operation: 11+13=24 Current State: 48:[4, 48, 24], Operations: ['11+13=24'] Exploring Operation: 4*24=96, Resulting Numbers: [48, 96] Generated Node #3: [48, 96] from Operation: 4*24=96 Current State: 48:[48, 96], Operations: ['11+13=24', '4*24=96'] Exploring Operation: 96-48=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 64, 12, 68, 76 ]
20
[ "76-68=8", "64/8=8", "12+8=20" ]
Current State: 20:[64, 12, 68, 76], Operations: [] Exploring Operation: 76-68=8, Resulting Numbers: [64, 12, 8] Generated Node #2: [64, 12, 8] from Operation: 76-68=8 Current State: 20:[64, 12, 8], Operations: ['76-68=8'] Exploring Operation: 64/8=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 64/8=8 Current State: 20:[12, 8], Operations: ['76-68=8', '64/8=8'] Exploring Operation: 12+8=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 6, 7, 4, 22 ]
66
[ "7-6=1", "4-1=3", "22*3=66" ]
Current State: 66:[6, 7, 4, 22], Operations: [] Exploring Operation: 7-6=1, Resulting Numbers: [4, 22, 1] Generated Node #2: [4, 22, 1] from Operation: 7-6=1 Current State: 66:[4, 22, 1], Operations: ['7-6=1'] Exploring Operation: 4-1=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 4-1=3 Current State: 66:[22, 3], Operations: ['7-6=1', '4-1=3'] Exploring Operation: 22*3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4