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
[ 72, 3, 71, 39 ]
60
[ "72-39=33", "33/3=11", "71-11=60" ]
Current State: 60:[72, 3, 71, 39], Operations: [] Exploring Operation: 72-39=33, Resulting Numbers: [3, 71, 33] Generated Node #2: [3, 71, 33] from Operation: 72-39=33 Current State: 60:[3, 71, 33], Operations: ['72-39=33'] Exploring Operation: 33/3=11, Resulting Numbers: [71, 11] Generated Node #3: [71, 11] from Operation: 33/3=11 Current State: 60:[71, 11], Operations: ['72-39=33', '33/3=11'] Exploring Operation: 71-11=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 84, 81, 90, 63 ]
79
[ "81-63=18", "90/18=5", "84-5=79" ]
Current State: 79:[84, 81, 90, 63], Operations: [] Exploring Operation: 81-63=18, Resulting Numbers: [84, 90, 18] Generated Node #2: [84, 90, 18] from Operation: 81-63=18 Current State: 79:[84, 90, 18], Operations: ['81-63=18'] Exploring Operation: 90/18=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 90/18=5 Current State: 79:[84, 5], Operations: ['81-63=18', '90/18=5'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 30, 50, 2, 42 ]
68
[ "30*2=60", "50-42=8", "60+8=68" ]
Current State: 68:[30, 50, 2, 42], Operations: [] Exploring Operation: 30*2=60, Resulting Numbers: [50, 42, 60] Generated Node #2: [50, 42, 60] from Operation: 30*2=60 Current State: 68:[50, 42, 60], Operations: ['30*2=60'] Exploring Operation: 50-42=8, Resulting Numbers: [60, 8] Generated Node #3: [60, 8] from Operation: 50-42=8 Current State: 68:[60, 8], Operations: ['30*2=60', '50-42=8'] Exploring Operation: 60+8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 56, 21, 60, 53 ]
91
[ "60-53=7", "21*7=147", "147-56=91" ]
Current State: 91:[56, 21, 60, 53], Operations: [] Exploring Operation: 60-53=7, Resulting Numbers: [56, 21, 7] Generated Node #2: [56, 21, 7] from Operation: 60-53=7 Current State: 91:[56, 21, 7], Operations: ['60-53=7'] Exploring Operation: 21*7=147, Resulting Numbers: [56, 147] Generated Node #3: [56, 147] from Operation: 21*7=147 Current State: 91:[56, 147], Operations: ['60-53=7', '21*7=147'] Exploring Operation: 147-56=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 11, 14, 63, 6 ]
10
[ "14-11=3", "63-3=60", "60/6=10" ]
Current State: 10:[11, 14, 63, 6], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [63, 6, 3] Generated Node #2: [63, 6, 3] from Operation: 14-11=3 Current State: 10:[63, 6, 3], Operations: ['14-11=3'] Exploring Operation: 63-3=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 63-3=60 Current State: 10:[6, 60], Operations: ['14-11=3', '63-3=60'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 9, 49, 1, 36 ]
21
[ "9+49=58", "1+36=37", "58-37=21" ]
Current State: 21:[9, 49, 1, 36], Operations: [] Exploring Operation: 9+49=58, Resulting Numbers: [1, 36, 58] Generated Node #2: [1, 36, 58] from Operation: 9+49=58 Current State: 21:[1, 36, 58], Operations: ['9+49=58'] Exploring Operation: 1+36=37, Resulting Numbers: [58, 37] Generated Node #3: [58, 37] from Operation: 1+36=37 Current State: 21:[58, 37], Operations: ['9+49=58', '1+36=37'] Exploring Operation: 58-37=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 4, 80, 4, 44 ]
24
[ "4*44=176", "176-80=96", "96/4=24" ]
Current State: 24:[4, 80, 4, 44], Operations: [] Exploring Operation: 4*44=176, Resulting Numbers: [80, 176] Generated Node #2: [80, 176] from Operation: 4*44=176 Current State: 24:[80, 176], Operations: ['4*44=176'] Exploring Operation: 176-80=96, Resulting Numbers: [96] 96,24 equal: Goal Reached Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 61, 91, 82, 25 ]
68
[ "61*91=5551", "25+5551=5576", "5576/82=68" ]
Current State: 68:[61, 91, 82, 25], Operations: [] Exploring Operation: 61*91=5551, Resulting Numbers: [82, 25, 5551] Generated Node #2: [82, 25, 5551] from Operation: 61*91=5551 Current State: 68:[82, 25, 5551], Operations: ['61*91=5551'] Exploring Operation: 25+5551=5576, Resulting Numbers: [82, 5576] Generated Node #3: [82, 5576] from Operation: 25+5551=5576 Current State: 68:[82, 5576], Operations: ['61*91=5551', '25+5551=5576'] Exploring Operation: 5576/82=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 77, 92, 95, 22 ]
12
[ "77+92=169", "95+169=264", "264/22=12" ]
Current State: 12:[77, 92, 95, 22], Operations: [] Exploring Operation: 77+92=169, Resulting Numbers: [95, 22, 169] Generated Node #2: [95, 22, 169] from Operation: 77+92=169 Current State: 12:[95, 22, 169], Operations: ['77+92=169'] Exploring Operation: 95+169=264, Resulting Numbers: [22, 264] Generated Node #3: [22, 264] from Operation: 95+169=264 Current State: 12:[22, 264], Operations: ['77+92=169', '95+169=264'] Exploring Operation: 264/22=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 45, 60, 64, 25 ]
44
[ "45*60=2700", "2700/25=108", "108-64=44" ]
Current State: 44:[45, 60, 64, 25], Operations: [] Exploring Operation: 45*60=2700, Resulting Numbers: [64, 25, 2700] Generated Node #2: [64, 25, 2700] from Operation: 45*60=2700 Current State: 44:[64, 25, 2700], Operations: ['45*60=2700'] Exploring Operation: 2700/25=108, Resulting Numbers: [64, 108] Generated Node #3: [64, 108] from Operation: 2700/25=108 Current State: 44:[64, 108], Operations: ['45*60=2700', '2700/25=108'] Exploring Operation: 108-64=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 18, 64, 54, 68 ]
96
[ "18+64=82", "68-54=14", "82+14=96" ]
Current State: 96:[18, 64, 54, 68], Operations: [] Exploring Operation: 18+64=82, Resulting Numbers: [54, 68, 82] Generated Node #2: [54, 68, 82] from Operation: 18+64=82 Current State: 96:[54, 68, 82], Operations: ['18+64=82'] Exploring Operation: 68-54=14, Resulting Numbers: [82, 14] Generated Node #3: [82, 14] from Operation: 68-54=14 Current State: 96:[82, 14], Operations: ['18+64=82', '68-54=14'] Exploring Operation: 82+14=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 40, 91, 90, 90 ]
49
[ "40+91=131", "90+90=180", "180-131=49" ]
Current State: 49:[40, 91, 90, 90], Operations: [] Exploring Operation: 40+91=131, Resulting Numbers: [90, 90, 131] Generated Node #2: [90, 90, 131] from Operation: 40+91=131 Current State: 49:[90, 90, 131], Operations: ['40+91=131'] Exploring Operation: 90+90=180, Resulting Numbers: [131, 180] Generated Node #3: [131, 180] from Operation: 90+90=180 Current State: 49:[131, 180], Operations: ['40+91=131', '90+90=180'] Exploring Operation: 180-131=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 4, 59, 20, 41 ]
34
[ "59-4=55", "41-20=21", "55-21=34" ]
Current State: 34:[4, 59, 20, 41], Operations: [] Exploring Operation: 59-4=55, Resulting Numbers: [20, 41, 55] Generated Node #2: [20, 41, 55] from Operation: 59-4=55 Current State: 34:[20, 41, 55], Operations: ['59-4=55'] Exploring Operation: 41-20=21, Resulting Numbers: [55, 21] Generated Node #3: [55, 21] from Operation: 41-20=21 Current State: 34:[55, 21], Operations: ['59-4=55', '41-20=21'] Exploring Operation: 55-21=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 11, 49, 59, 77 ]
98
[ "49-11=38", "59+77=136", "136-38=98" ]
Current State: 98:[11, 49, 59, 77], Operations: [] Exploring Operation: 49-11=38, Resulting Numbers: [59, 77, 38] Generated Node #2: [59, 77, 38] from Operation: 49-11=38 Current State: 98:[59, 77, 38], Operations: ['49-11=38'] Exploring Operation: 59+77=136, Resulting Numbers: [38, 136] Generated Node #3: [38, 136] from Operation: 59+77=136 Current State: 98:[38, 136], Operations: ['49-11=38', '59+77=136'] Exploring Operation: 136-38=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 41, 7, 81, 23 ]
24
[ "41-7=34", "81-23=58", "58-34=24" ]
Current State: 24:[41, 7, 81, 23], Operations: [] Exploring Operation: 41-7=34, Resulting Numbers: [81, 23, 34] Generated Node #2: [81, 23, 34] from Operation: 41-7=34 Current State: 24:[81, 23, 34], Operations: ['41-7=34'] Exploring Operation: 81-23=58, Resulting Numbers: [34, 58] Generated Node #3: [34, 58] from Operation: 81-23=58 Current State: 24:[34, 58], Operations: ['41-7=34', '81-23=58'] Exploring Operation: 58-34=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 15, 32, 12, 15 ]
80
[ "15+15=30", "32*30=960", "960/12=80" ]
Current State: 80:[15, 32, 12, 15], Operations: [] Exploring Operation: 15+15=30, Resulting Numbers: [32, 12, 30] Generated Node #2: [32, 12, 30] from Operation: 15+15=30 Current State: 80:[32, 12, 30], Operations: ['15+15=30'] Exploring Operation: 32*30=960, Resulting Numbers: [12, 960] Generated Node #3: [12, 960] from Operation: 32*30=960 Current State: 80:[12, 960], Operations: ['15+15=30', '32*30=960'] Exploring Operation: 960/12=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 64, 54, 2, 29 ]
15
[ "64+29=93", "54*2=108", "108-93=15" ]
Current State: 15:[64, 54, 2, 29], Operations: [] Exploring Operation: 64+29=93, Resulting Numbers: [54, 2, 93] Generated Node #2: [54, 2, 93] from Operation: 64+29=93 Current State: 15:[54, 2, 93], Operations: ['64+29=93'] Exploring Operation: 54*2=108, Resulting Numbers: [93, 108] Generated Node #3: [93, 108] from Operation: 54*2=108 Current State: 15:[93, 108], Operations: ['64+29=93', '54*2=108'] Exploring Operation: 108-93=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 5, 75, 34, 40 ]
57
[ "75+40=115", "115/5=23", "34+23=57" ]
Current State: 57:[5, 75, 34, 40], Operations: [] Exploring Operation: 75+40=115, Resulting Numbers: [5, 34, 115] Generated Node #2: [5, 34, 115] from Operation: 75+40=115 Current State: 57:[5, 34, 115], Operations: ['75+40=115'] Exploring Operation: 115/5=23, Resulting Numbers: [34, 23] Generated Node #3: [34, 23] from Operation: 115/5=23 Current State: 57:[34, 23], Operations: ['75+40=115', '115/5=23'] Exploring Operation: 34+23=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 48, 84, 72, 84 ]
80
[ "84-72=12", "48/12=4", "84-4=80" ]
Current State: 80:[48, 84, 72, 84], Operations: [] Exploring Operation: 84-72=12, Resulting Numbers: [48, 12] Generated Node #2: [48, 12] from Operation: 84-72=12 Current State: 80:[48, 12], Operations: ['84-72=12'] Exploring Operation: 48/12=4, Resulting Numbers: [4] 4,80 equal: Goal Reached Exploring Operation: 84-4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 36, 86, 81, 28 ]
40
[ "36-28=8", "86-81=5", "8*5=40" ]
Current State: 40:[36, 86, 81, 28], Operations: [] Exploring Operation: 36-28=8, Resulting Numbers: [86, 81, 8] Generated Node #2: [86, 81, 8] from Operation: 36-28=8 Current State: 40:[86, 81, 8], Operations: ['36-28=8'] Exploring Operation: 86-81=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 86-81=5 Current State: 40:[8, 5], Operations: ['36-28=8', '86-81=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 22, 45, 80, 86 ]
61
[ "22+45=67", "86-80=6", "67-6=61" ]
Current State: 61:[22, 45, 80, 86], Operations: [] Exploring Operation: 22+45=67, Resulting Numbers: [80, 86, 67] Generated Node #2: [80, 86, 67] from Operation: 22+45=67 Current State: 61:[80, 86, 67], Operations: ['22+45=67'] Exploring Operation: 86-80=6, Resulting Numbers: [67, 6] Generated Node #3: [67, 6] from Operation: 86-80=6 Current State: 61:[67, 6], Operations: ['22+45=67', '86-80=6'] Exploring Operation: 67-6=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 60, 51, 11, 19 ]
80
[ "60-51=9", "11*9=99", "99-19=80" ]
Current State: 80:[60, 51, 11, 19], Operations: [] Exploring Operation: 60-51=9, Resulting Numbers: [11, 19, 9] Generated Node #2: [11, 19, 9] from Operation: 60-51=9 Current State: 80:[11, 19, 9], Operations: ['60-51=9'] Exploring Operation: 11*9=99, Resulting Numbers: [19, 99] Generated Node #3: [19, 99] from Operation: 11*9=99 Current State: 80:[19, 99], Operations: ['60-51=9', '11*9=99'] Exploring Operation: 99-19=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 14, 39, 5, 6 ]
86
[ "14*39=546", "546/6=91", "91-5=86" ]
Current State: 86:[14, 39, 5, 6], Operations: [] Exploring Operation: 14*39=546, Resulting Numbers: [5, 6, 546] Generated Node #2: [5, 6, 546] from Operation: 14*39=546 Current State: 86:[5, 6, 546], Operations: ['14*39=546'] Exploring Operation: 546/6=91, Resulting Numbers: [5, 91] Generated Node #3: [5, 91] from Operation: 546/6=91 Current State: 86:[5, 91], Operations: ['14*39=546', '546/6=91'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 56, 28, 16, 37 ]
23
[ "56/28=2", "37-16=21", "2+21=23" ]
Current State: 23:[56, 28, 16, 37], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [16, 37, 2] Generated Node #2: [16, 37, 2] from Operation: 56/28=2 Current State: 23:[16, 37, 2], Operations: ['56/28=2'] Exploring Operation: 37-16=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 37-16=21 Current State: 23:[2, 21], Operations: ['56/28=2', '37-16=21'] Exploring Operation: 2+21=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 28, 9, 42, 10 ]
76
[ "42-28=14", "9*10=90", "90-14=76" ]
Current State: 76:[28, 9, 42, 10], Operations: [] Exploring Operation: 42-28=14, Resulting Numbers: [9, 10, 14] Generated Node #2: [9, 10, 14] from Operation: 42-28=14 Current State: 76:[9, 10, 14], Operations: ['42-28=14'] Exploring Operation: 9*10=90, Resulting Numbers: [14, 90] Generated Node #3: [14, 90] from Operation: 9*10=90 Current State: 76:[14, 90], Operations: ['42-28=14', '9*10=90'] Exploring Operation: 90-14=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 3, 77, 4, 57 ]
82
[ "57-4=53", "3*53=159", "159-77=82" ]
Current State: 82:[3, 77, 4, 57], Operations: [] Exploring Operation: 57-4=53, Resulting Numbers: [3, 77, 53] Generated Node #2: [3, 77, 53] from Operation: 57-4=53 Current State: 82:[3, 77, 53], Operations: ['57-4=53'] Exploring Operation: 3*53=159, Resulting Numbers: [77, 159] Generated Node #3: [77, 159] from Operation: 3*53=159 Current State: 82:[77, 159], Operations: ['57-4=53', '3*53=159'] Exploring Operation: 159-77=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 32, 42, 40, 4 ]
72
[ "32+4=36", "42-40=2", "36*2=72" ]
Current State: 72:[32, 42, 40, 4], Operations: [] Exploring Operation: 32+4=36, Resulting Numbers: [42, 40, 36] Generated Node #2: [42, 40, 36] from Operation: 32+4=36 Current State: 72:[42, 40, 36], Operations: ['32+4=36'] Exploring Operation: 42-40=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 42-40=2 Current State: 72:[36, 2], Operations: ['32+4=36', '42-40=2'] Exploring Operation: 36*2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 92, 68, 20, 12 ]
16
[ "92-68=24", "20-12=8", "24-8=16" ]
Current State: 16:[92, 68, 20, 12], Operations: [] Exploring Operation: 92-68=24, Resulting Numbers: [20, 12, 24] Generated Node #2: [20, 12, 24] from Operation: 92-68=24 Current State: 16:[20, 12, 24], Operations: ['92-68=24'] Exploring Operation: 20-12=8, Resulting Numbers: [24, 8] Generated Node #3: [24, 8] from Operation: 20-12=8 Current State: 16:[24, 8], Operations: ['92-68=24', '20-12=8'] Exploring Operation: 24-8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 3, 30, 98, 5 ]
96
[ "30/3=10", "10/5=2", "98-2=96" ]
Current State: 96:[3, 30, 98, 5], Operations: [] Exploring Operation: 30/3=10, Resulting Numbers: [98, 5, 10] Generated Node #2: [98, 5, 10] from Operation: 30/3=10 Current State: 96:[98, 5, 10], Operations: ['30/3=10'] Exploring Operation: 10/5=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 10/5=2 Current State: 96:[98, 2], Operations: ['30/3=10', '10/5=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 14, 13, 8, 2 ]
15
[ "14-13=1", "8*2=16", "16-1=15" ]
Current State: 15:[14, 13, 8, 2], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [8, 2, 1] Generated Node #2: [8, 2, 1] from Operation: 14-13=1 Current State: 15:[8, 2, 1], Operations: ['14-13=1'] Exploring Operation: 8*2=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 8*2=16 Current State: 15:[1, 16], Operations: ['14-13=1', '8*2=16'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 78, 52, 36, 45 ]
99
[ "78*36=2808", "2808/52=54", "45+54=99" ]
Current State: 99:[78, 52, 36, 45], Operations: [] Exploring Operation: 78*36=2808, Resulting Numbers: [52, 45, 2808] Generated Node #2: [52, 45, 2808] from Operation: 78*36=2808 Current State: 99:[52, 45, 2808], Operations: ['78*36=2808'] Exploring Operation: 2808/52=54, Resulting Numbers: [45, 54] Generated Node #3: [45, 54] from Operation: 2808/52=54 Current State: 99:[45, 54], Operations: ['78*36=2808', '2808/52=54'] Exploring Operation: 45+54=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 39, 54, 53, 50 ]
57
[ "53-50=3", "54/3=18", "39+18=57" ]
Current State: 57:[39, 54, 53, 50], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [39, 54, 3] Generated Node #2: [39, 54, 3] from Operation: 53-50=3 Current State: 57:[39, 54, 3], Operations: ['53-50=3'] Exploring Operation: 54/3=18, Resulting Numbers: [39, 18] Generated Node #3: [39, 18] from Operation: 54/3=18 Current State: 57:[39, 18], Operations: ['53-50=3', '54/3=18'] Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 45, 51, 54, 3 ]
63
[ "51-45=6", "54+3=57", "6+57=63" ]
Current State: 63:[45, 51, 54, 3], Operations: [] Exploring Operation: 51-45=6, Resulting Numbers: [54, 3, 6] Generated Node #2: [54, 3, 6] from Operation: 51-45=6 Current State: 63:[54, 3, 6], Operations: ['51-45=6'] Exploring Operation: 54+3=57, Resulting Numbers: [6, 57] Generated Node #3: [6, 57] from Operation: 54+3=57 Current State: 63:[6, 57], Operations: ['51-45=6', '54+3=57'] Exploring Operation: 6+57=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 52, 67, 57, 28 ]
73
[ "57-52=5", "28*5=140", "140-67=73" ]
Current State: 73:[52, 67, 57, 28], Operations: [] Exploring Operation: 57-52=5, Resulting Numbers: [67, 28, 5] Generated Node #2: [67, 28, 5] from Operation: 57-52=5 Current State: 73:[67, 28, 5], Operations: ['57-52=5'] Exploring Operation: 28*5=140, Resulting Numbers: [67, 140] Generated Node #3: [67, 140] from Operation: 28*5=140 Current State: 73:[67, 140], Operations: ['57-52=5', '28*5=140'] Exploring Operation: 140-67=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 79, 57, 72, 71 ]
48
[ "79-71=8", "72/8=9", "57-9=48" ]
Current State: 48:[79, 57, 72, 71], Operations: [] Exploring Operation: 79-71=8, Resulting Numbers: [57, 72, 8] Generated Node #2: [57, 72, 8] from Operation: 79-71=8 Current State: 48:[57, 72, 8], Operations: ['79-71=8'] Exploring Operation: 72/8=9, Resulting Numbers: [57, 9] Generated Node #3: [57, 9] from Operation: 72/8=9 Current State: 48:[57, 9], Operations: ['79-71=8', '72/8=9'] Exploring Operation: 57-9=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 58, 65, 92, 95 ]
41
[ "58+65=123", "95-92=3", "123/3=41" ]
Current State: 41:[58, 65, 92, 95], Operations: [] Exploring Operation: 58+65=123, Resulting Numbers: [92, 95, 123] Generated Node #2: [92, 95, 123] from Operation: 58+65=123 Current State: 41:[92, 95, 123], Operations: ['58+65=123'] Exploring Operation: 95-92=3, Resulting Numbers: [123, 3] Generated Node #3: [123, 3] from Operation: 95-92=3 Current State: 41:[123, 3], Operations: ['58+65=123', '95-92=3'] Exploring Operation: 123/3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 74, 62, 6, 95 ]
89
[ "74-62=12", "6+95=101", "101-12=89" ]
Current State: 89:[74, 62, 6, 95], Operations: [] Exploring Operation: 74-62=12, Resulting Numbers: [6, 95, 12] Generated Node #2: [6, 95, 12] from Operation: 74-62=12 Current State: 89:[6, 95, 12], Operations: ['74-62=12'] Exploring Operation: 6+95=101, Resulting Numbers: [12, 101] Generated Node #3: [12, 101] from Operation: 6+95=101 Current State: 89:[12, 101], Operations: ['74-62=12', '6+95=101'] Exploring Operation: 101-12=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 16, 23, 50, 25 ]
36
[ "16+23=39", "50+25=75", "75-39=36" ]
Current State: 36:[16, 23, 50, 25], Operations: [] Exploring Operation: 16+23=39, Resulting Numbers: [50, 25, 39] Generated Node #2: [50, 25, 39] from Operation: 16+23=39 Current State: 36:[50, 25, 39], Operations: ['16+23=39'] Exploring Operation: 50+25=75, Resulting Numbers: [39, 75] Generated Node #3: [39, 75] from Operation: 50+25=75 Current State: 36:[39, 75], Operations: ['16+23=39', '50+25=75'] Exploring Operation: 75-39=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 44, 12, 6, 59 ]
57
[ "59-44=15", "12*6=72", "72-15=57" ]
Current State: 57:[44, 12, 6, 59], Operations: [] Exploring Operation: 59-44=15, Resulting Numbers: [12, 6, 15] Generated Node #2: [12, 6, 15] from Operation: 59-44=15 Current State: 57:[12, 6, 15], Operations: ['59-44=15'] Exploring Operation: 12*6=72, Resulting Numbers: [15, 72] Generated Node #3: [15, 72] from Operation: 12*6=72 Current State: 57:[15, 72], Operations: ['59-44=15', '12*6=72'] Exploring Operation: 72-15=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 20, 37, 10, 62 ]
69
[ "37-20=17", "62-10=52", "17+52=69" ]
Current State: 69:[20, 37, 10, 62], Operations: [] Exploring Operation: 37-20=17, Resulting Numbers: [10, 62, 17] Generated Node #2: [10, 62, 17] from Operation: 37-20=17 Current State: 69:[10, 62, 17], Operations: ['37-20=17'] Exploring Operation: 62-10=52, Resulting Numbers: [17, 52] Generated Node #3: [17, 52] from Operation: 62-10=52 Current State: 69:[17, 52], Operations: ['37-20=17', '62-10=52'] Exploring Operation: 17+52=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 72, 59, 50, 26 ]
37
[ "72-59=13", "50-26=24", "13+24=37" ]
Current State: 37:[72, 59, 50, 26], Operations: [] Exploring Operation: 72-59=13, Resulting Numbers: [50, 26, 13] Generated Node #2: [50, 26, 13] from Operation: 72-59=13 Current State: 37:[50, 26, 13], Operations: ['72-59=13'] Exploring Operation: 50-26=24, Resulting Numbers: [13, 24] Generated Node #3: [13, 24] from Operation: 50-26=24 Current State: 37:[13, 24], Operations: ['72-59=13', '50-26=24'] Exploring Operation: 13+24=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 33, 33, 30, 76 ]
40
[ "33+33=66", "30+76=106", "106-66=40" ]
Current State: 40:[33, 33, 30, 76], Operations: [] Exploring Operation: 33+33=66, Resulting Numbers: [30, 76, 66] Generated Node #2: [30, 76, 66] from Operation: 33+33=66 Current State: 40:[30, 76, 66], Operations: ['33+33=66'] Exploring Operation: 30+76=106, Resulting Numbers: [66, 106] Generated Node #3: [66, 106] from Operation: 30+76=106 Current State: 40:[66, 106], Operations: ['33+33=66', '30+76=106'] Exploring Operation: 106-66=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 87, 24, 25, 41 ]
58
[ "41-25=16", "87*16=1392", "1392/24=58" ]
Current State: 58:[87, 24, 25, 41], Operations: [] Exploring Operation: 41-25=16, Resulting Numbers: [87, 24, 16] Generated Node #2: [87, 24, 16] from Operation: 41-25=16 Current State: 58:[87, 24, 16], Operations: ['41-25=16'] Exploring Operation: 87*16=1392, Resulting Numbers: [24, 1392] Generated Node #3: [24, 1392] from Operation: 87*16=1392 Current State: 58:[24, 1392], Operations: ['41-25=16', '87*16=1392'] Exploring Operation: 1392/24=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 58, 26, 46, 8 ]
42
[ "58-26=32", "32/8=4", "46-4=42" ]
Current State: 42:[58, 26, 46, 8], Operations: [] Exploring Operation: 58-26=32, Resulting Numbers: [46, 8, 32] Generated Node #2: [46, 8, 32] from Operation: 58-26=32 Current State: 42:[46, 8, 32], Operations: ['58-26=32'] Exploring Operation: 32/8=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 32/8=4 Current State: 42:[46, 4], Operations: ['58-26=32', '32/8=4'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 31, 80, 48, 93 ]
94
[ "80-31=49", "93-48=45", "49+45=94" ]
Current State: 94:[31, 80, 48, 93], Operations: [] Exploring Operation: 80-31=49, Resulting Numbers: [48, 93, 49] Generated Node #2: [48, 93, 49] from Operation: 80-31=49 Current State: 94:[48, 93, 49], Operations: ['80-31=49'] Exploring Operation: 93-48=45, Resulting Numbers: [49, 45] Generated Node #3: [49, 45] from Operation: 93-48=45 Current State: 94:[49, 45], Operations: ['80-31=49', '93-48=45'] Exploring Operation: 49+45=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 3, 16, 63, 7 ]
22
[ "3*16=48", "63+7=70", "70-48=22" ]
Current State: 22:[3, 16, 63, 7], Operations: [] Exploring Operation: 3*16=48, Resulting Numbers: [63, 7, 48] Generated Node #2: [63, 7, 48] from Operation: 3*16=48 Current State: 22:[63, 7, 48], Operations: ['3*16=48'] Exploring Operation: 63+7=70, Resulting Numbers: [48, 70] Generated Node #3: [48, 70] from Operation: 63+7=70 Current State: 22:[48, 70], Operations: ['3*16=48', '63+7=70'] Exploring Operation: 70-48=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 4, 84, 27, 15 ]
36
[ "27-15=12", "4*12=48", "84-48=36" ]
Current State: 36:[4, 84, 27, 15], Operations: [] Exploring Operation: 27-15=12, Resulting Numbers: [4, 84, 12] Generated Node #2: [4, 84, 12] from Operation: 27-15=12 Current State: 36:[4, 84, 12], Operations: ['27-15=12'] Exploring Operation: 4*12=48, Resulting Numbers: [84, 48] Generated Node #3: [84, 48] from Operation: 4*12=48 Current State: 36:[84, 48], Operations: ['27-15=12', '4*12=48'] Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 92, 46, 64, 79 ]
61
[ "92-46=46", "79-64=15", "46+15=61" ]
Current State: 61:[92, 46, 64, 79], Operations: [] Exploring Operation: 92-46=46, Resulting Numbers: [64, 79, 46] Generated Node #2: [64, 79, 46] from Operation: 92-46=46 Current State: 61:[64, 79, 46], Operations: ['92-46=46'] Exploring Operation: 79-64=15, Resulting Numbers: [46, 15] Generated Node #3: [46, 15] from Operation: 79-64=15 Current State: 61:[46, 15], Operations: ['92-46=46', '79-64=15'] Exploring Operation: 46+15=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 98, 38, 31, 48 ]
77
[ "98-38=60", "48-31=17", "60+17=77" ]
Current State: 77:[98, 38, 31, 48], Operations: [] Exploring Operation: 98-38=60, Resulting Numbers: [31, 48, 60] Generated Node #2: [31, 48, 60] from Operation: 98-38=60 Current State: 77:[31, 48, 60], Operations: ['98-38=60'] Exploring Operation: 48-31=17, Resulting Numbers: [60, 17] Generated Node #3: [60, 17] from Operation: 48-31=17 Current State: 77:[60, 17], Operations: ['98-38=60', '48-31=17'] Exploring Operation: 60+17=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 4, 35, 52, 24 ]
76
[ "35*52=1820", "4+1820=1824", "1824/24=76" ]
Current State: 76:[4, 35, 52, 24], Operations: [] Exploring Operation: 35*52=1820, Resulting Numbers: [4, 24, 1820] Generated Node #2: [4, 24, 1820] from Operation: 35*52=1820 Current State: 76:[4, 24, 1820], Operations: ['35*52=1820'] Exploring Operation: 4+1820=1824, Resulting Numbers: [24, 1824] Generated Node #3: [24, 1824] from Operation: 4+1820=1824 Current State: 76:[24, 1824], Operations: ['35*52=1820', '4+1820=1824'] Exploring Operation: 1824/24=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 6, 14, 55, 18 ]
29
[ "14-6=8", "55-18=37", "37-8=29" ]
Current State: 29:[6, 14, 55, 18], Operations: [] Exploring Operation: 14-6=8, Resulting Numbers: [55, 18, 8] Generated Node #2: [55, 18, 8] from Operation: 14-6=8 Current State: 29:[55, 18, 8], Operations: ['14-6=8'] Exploring Operation: 55-18=37, Resulting Numbers: [8, 37] Generated Node #3: [8, 37] from Operation: 55-18=37 Current State: 29:[8, 37], Operations: ['14-6=8', '55-18=37'] Exploring Operation: 37-8=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 78, 94, 1, 51 ]
66
[ "94-78=16", "51-1=50", "16+50=66" ]
Current State: 66:[78, 94, 1, 51], Operations: [] Exploring Operation: 94-78=16, Resulting Numbers: [1, 51, 16] Generated Node #2: [1, 51, 16] from Operation: 94-78=16 Current State: 66:[1, 51, 16], Operations: ['94-78=16'] Exploring Operation: 51-1=50, Resulting Numbers: [16, 50] Generated Node #3: [16, 50] from Operation: 51-1=50 Current State: 66:[16, 50], Operations: ['94-78=16', '51-1=50'] Exploring Operation: 16+50=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 24, 52, 73, 75 ]
26
[ "52-24=28", "75-73=2", "28-2=26" ]
Current State: 26:[24, 52, 73, 75], Operations: [] Exploring Operation: 52-24=28, Resulting Numbers: [73, 75, 28] Generated Node #2: [73, 75, 28] from Operation: 52-24=28 Current State: 26:[73, 75, 28], Operations: ['52-24=28'] Exploring Operation: 75-73=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 75-73=2 Current State: 26:[28, 2], Operations: ['52-24=28', '75-73=2'] Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 40, 44, 40, 75 ]
75
[ "40-40=0", "44*0=0", "75+0=75" ]
Current State: 75:[40, 44, 40, 75], Operations: [] Exploring Operation: 40-40=0, Resulting Numbers: [44, 75, 0] Generated Node #2: [44, 75, 0] from Operation: 40-40=0 Current State: 75:[44, 75, 0], Operations: ['40-40=0'] Exploring Operation: 44*0=0, Resulting Numbers: [75, 0] Generated Node #3: [75, 0] from Operation: 44*0=0 Current State: 75:[75, 0], Operations: ['40-40=0', '44*0=0'] Exploring Operation: 75+0=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 32, 70, 11, 34 ]
57
[ "32+70=102", "11+34=45", "102-45=57" ]
Current State: 57:[32, 70, 11, 34], Operations: [] Exploring Operation: 32+70=102, Resulting Numbers: [11, 34, 102] Generated Node #2: [11, 34, 102] from Operation: 32+70=102 Current State: 57:[11, 34, 102], Operations: ['32+70=102'] Exploring Operation: 11+34=45, Resulting Numbers: [102, 45] Generated Node #3: [102, 45] from Operation: 11+34=45 Current State: 57:[102, 45], Operations: ['32+70=102', '11+34=45'] Exploring Operation: 102-45=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 89, 2, 86, 63 ]
30
[ "89-86=3", "63-3=60", "60/2=30" ]
Current State: 30:[89, 2, 86, 63], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [2, 63, 3] Generated Node #2: [2, 63, 3] from Operation: 89-86=3 Current State: 30:[2, 63, 3], Operations: ['89-86=3'] Exploring Operation: 63-3=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 63-3=60 Current State: 30:[2, 60], Operations: ['89-86=3', '63-3=60'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 6, 39, 94, 51 ]
79
[ "39+51=90", "90/6=15", "94-15=79" ]
Current State: 79:[6, 39, 94, 51], Operations: [] Exploring Operation: 39+51=90, Resulting Numbers: [6, 94, 90] Generated Node #2: [6, 94, 90] from Operation: 39+51=90 Current State: 79:[6, 94, 90], Operations: ['39+51=90'] Exploring Operation: 90/6=15, Resulting Numbers: [94, 15] Generated Node #3: [94, 15] from Operation: 90/6=15 Current State: 79:[94, 15], Operations: ['39+51=90', '90/6=15'] Exploring Operation: 94-15=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 3, 24, 18, 9 ]
46
[ "18*9=162", "162-24=138", "138/3=46" ]
Current State: 46:[3, 24, 18, 9], Operations: [] Exploring Operation: 18*9=162, Resulting Numbers: [3, 24, 162] Generated Node #2: [3, 24, 162] from Operation: 18*9=162 Current State: 46:[3, 24, 162], Operations: ['18*9=162'] Exploring Operation: 162-24=138, Resulting Numbers: [3, 138] Generated Node #3: [3, 138] from Operation: 162-24=138 Current State: 46:[3, 138], Operations: ['18*9=162', '162-24=138'] Exploring Operation: 138/3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 93, 23, 74, 40 ]
44
[ "93-23=70", "74+40=114", "114-70=44" ]
Current State: 44:[93, 23, 74, 40], Operations: [] Exploring Operation: 93-23=70, Resulting Numbers: [74, 40, 70] Generated Node #2: [74, 40, 70] from Operation: 93-23=70 Current State: 44:[74, 40, 70], Operations: ['93-23=70'] Exploring Operation: 74+40=114, Resulting Numbers: [70, 114] Generated Node #3: [70, 114] from Operation: 74+40=114 Current State: 44:[70, 114], Operations: ['93-23=70', '74+40=114'] Exploring Operation: 114-70=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 5, 86, 22, 84 ]
55
[ "5*22=110", "86-84=2", "110/2=55" ]
Current State: 55:[5, 86, 22, 84], Operations: [] Exploring Operation: 5*22=110, Resulting Numbers: [86, 84, 110] Generated Node #2: [86, 84, 110] from Operation: 5*22=110 Current State: 55:[86, 84, 110], Operations: ['5*22=110'] Exploring Operation: 86-84=2, Resulting Numbers: [110, 2] Generated Node #3: [110, 2] from Operation: 86-84=2 Current State: 55:[110, 2], Operations: ['5*22=110', '86-84=2'] Exploring Operation: 110/2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 41, 37, 3, 11 ]
32
[ "41-37=4", "11-3=8", "4*8=32" ]
Current State: 32:[41, 37, 3, 11], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [3, 11, 4] Generated Node #2: [3, 11, 4] from Operation: 41-37=4 Current State: 32:[3, 11, 4], Operations: ['41-37=4'] Exploring Operation: 11-3=8, Resulting Numbers: [4, 8] Generated Node #3: [4, 8] from Operation: 11-3=8 Current State: 32:[4, 8], Operations: ['41-37=4', '11-3=8'] Exploring Operation: 4*8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 16, 20, 22, 67 ]
59
[ "22-20=2", "16/2=8", "67-8=59" ]
Current State: 59:[16, 20, 22, 67], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [16, 67, 2] Generated Node #2: [16, 67, 2] from Operation: 22-20=2 Current State: 59:[16, 67, 2], Operations: ['22-20=2'] Exploring Operation: 16/2=8, Resulting Numbers: [67, 8] Generated Node #3: [67, 8] from Operation: 16/2=8 Current State: 59:[67, 8], Operations: ['22-20=2', '16/2=8'] Exploring Operation: 67-8=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 24, 10, 63, 22 ]
43
[ "24-22=2", "10*2=20", "63-20=43" ]
Current State: 43:[24, 10, 63, 22], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [10, 63, 2] Generated Node #2: [10, 63, 2] from Operation: 24-22=2 Current State: 43:[10, 63, 2], Operations: ['24-22=2'] Exploring Operation: 10*2=20, Resulting Numbers: [63, 20] Generated Node #3: [63, 20] from Operation: 10*2=20 Current State: 43:[63, 20], Operations: ['24-22=2', '10*2=20'] Exploring Operation: 63-20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 1, 18, 51, 98 ]
29
[ "1*18=18", "98-51=47", "47-18=29" ]
Current State: 29:[1, 18, 51, 98], Operations: [] Exploring Operation: 1*18=18, Resulting Numbers: [51, 98, 18] Generated Node #2: [51, 98, 18] from Operation: 1*18=18 Current State: 29:[51, 98, 18], Operations: ['1*18=18'] Exploring Operation: 98-51=47, Resulting Numbers: [18, 47] Generated Node #3: [18, 47] from Operation: 98-51=47 Current State: 29:[18, 47], Operations: ['1*18=18', '98-51=47'] Exploring Operation: 47-18=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 99, 30, 75, 42 ]
27
[ "75-42=33", "99/33=3", "30-3=27" ]
Current State: 27:[99, 30, 75, 42], Operations: [] Exploring Operation: 75-42=33, Resulting Numbers: [99, 30, 33] Generated Node #2: [99, 30, 33] from Operation: 75-42=33 Current State: 27:[99, 30, 33], Operations: ['75-42=33'] Exploring Operation: 99/33=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 99/33=3 Current State: 27:[30, 3], Operations: ['75-42=33', '99/33=3'] Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 75, 15, 78, 8 ]
40
[ "78-75=3", "15*8=120", "120/3=40" ]
Current State: 40:[75, 15, 78, 8], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [15, 8, 3] Generated Node #2: [15, 8, 3] from Operation: 78-75=3 Current State: 40:[15, 8, 3], Operations: ['78-75=3'] Exploring Operation: 15*8=120, Resulting Numbers: [3, 120] Generated Node #3: [3, 120] from Operation: 15*8=120 Current State: 40:[3, 120], Operations: ['78-75=3', '15*8=120'] Exploring Operation: 120/3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 74, 58, 80, 34 ]
42
[ "74*34=2516", "2516-80=2436", "2436/58=42" ]
Current State: 42:[74, 58, 80, 34], Operations: [] Exploring Operation: 74*34=2516, Resulting Numbers: [58, 80, 2516] Generated Node #2: [58, 80, 2516] from Operation: 74*34=2516 Current State: 42:[58, 80, 2516], Operations: ['74*34=2516'] Exploring Operation: 2516-80=2436, Resulting Numbers: [58, 2436] Generated Node #3: [58, 2436] from Operation: 2516-80=2436 Current State: 42:[58, 2436], Operations: ['74*34=2516', '2516-80=2436'] Exploring Operation: 2436/58=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 73, 6, 78, 74 ]
44
[ "78-73=5", "6*5=30", "74-30=44" ]
Current State: 44:[73, 6, 78, 74], Operations: [] Exploring Operation: 78-73=5, Resulting Numbers: [6, 74, 5] Generated Node #2: [6, 74, 5] from Operation: 78-73=5 Current State: 44:[6, 74, 5], Operations: ['78-73=5'] Exploring Operation: 6*5=30, Resulting Numbers: [74, 30] Generated Node #3: [74, 30] from Operation: 6*5=30 Current State: 44:[74, 30], Operations: ['78-73=5', '6*5=30'] Exploring Operation: 74-30=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 13, 5, 72, 34 ]
75
[ "5+34=39", "39/13=3", "72+3=75" ]
Current State: 75:[13, 5, 72, 34], Operations: [] Exploring Operation: 5+34=39, Resulting Numbers: [13, 72, 39] Generated Node #2: [13, 72, 39] from Operation: 5+34=39 Current State: 75:[13, 72, 39], Operations: ['5+34=39'] Exploring Operation: 39/13=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 39/13=3 Current State: 75:[72, 3], Operations: ['5+34=39', '39/13=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 84, 44, 48, 10 ]
14
[ "48-44=4", "10-4=6", "84/6=14" ]
Current State: 14:[84, 44, 48, 10], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [84, 10, 4] Generated Node #2: [84, 10, 4] from Operation: 48-44=4 Current State: 14:[84, 10, 4], Operations: ['48-44=4'] Exploring Operation: 10-4=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 10-4=6 Current State: 14:[84, 6], Operations: ['48-44=4', '10-4=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 65, 2, 52, 7 ]
17
[ "65+2=67", "52+67=119", "119/7=17" ]
Current State: 17:[65, 2, 52, 7], Operations: [] Exploring Operation: 65+2=67, Resulting Numbers: [52, 7, 67] Generated Node #2: [52, 7, 67] from Operation: 65+2=67 Current State: 17:[52, 7, 67], Operations: ['65+2=67'] Exploring Operation: 52+67=119, Resulting Numbers: [7, 119] Generated Node #3: [7, 119] from Operation: 52+67=119 Current State: 17:[7, 119], Operations: ['65+2=67', '52+67=119'] Exploring Operation: 119/7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 10, 95, 84, 19 ]
34
[ "10*95=950", "950/19=50", "84-50=34" ]
Current State: 34:[10, 95, 84, 19], Operations: [] Exploring Operation: 10*95=950, Resulting Numbers: [84, 19, 950] Generated Node #2: [84, 19, 950] from Operation: 10*95=950 Current State: 34:[84, 19, 950], Operations: ['10*95=950'] Exploring Operation: 950/19=50, Resulting Numbers: [84, 50] Generated Node #3: [84, 50] from Operation: 950/19=50 Current State: 34:[84, 50], Operations: ['10*95=950', '950/19=50'] Exploring Operation: 84-50=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 55, 30, 3, 28 ]
93
[ "55+28=83", "30/3=10", "83+10=93" ]
Current State: 93:[55, 30, 3, 28], Operations: [] Exploring Operation: 55+28=83, Resulting Numbers: [30, 3, 83] Generated Node #2: [30, 3, 83] from Operation: 55+28=83 Current State: 93:[30, 3, 83], Operations: ['55+28=83'] Exploring Operation: 30/3=10, Resulting Numbers: [83, 10] Generated Node #3: [83, 10] from Operation: 30/3=10 Current State: 93:[83, 10], Operations: ['55+28=83', '30/3=10'] Exploring Operation: 83+10=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 55, 78, 19, 60 ]
56
[ "78-55=23", "19+60=79", "79-23=56" ]
Current State: 56:[55, 78, 19, 60], Operations: [] Exploring Operation: 78-55=23, Resulting Numbers: [19, 60, 23] Generated Node #2: [19, 60, 23] from Operation: 78-55=23 Current State: 56:[19, 60, 23], Operations: ['78-55=23'] Exploring Operation: 19+60=79, Resulting Numbers: [23, 79] Generated Node #3: [23, 79] from Operation: 19+60=79 Current State: 56:[23, 79], Operations: ['78-55=23', '19+60=79'] Exploring Operation: 79-23=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 50, 78, 29, 84 ]
32
[ "78-50=28", "84/28=3", "29+3=32" ]
Current State: 32:[50, 78, 29, 84], Operations: [] Exploring Operation: 78-50=28, Resulting Numbers: [29, 84, 28] Generated Node #2: [29, 84, 28] from Operation: 78-50=28 Current State: 32:[29, 84, 28], Operations: ['78-50=28'] Exploring Operation: 84/28=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 84/28=3 Current State: 32:[29, 3], Operations: ['78-50=28', '84/28=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 47, 4, 12, 2 ]
94
[ "47*12=564", "4+2=6", "564/6=94" ]
Current State: 94:[47, 4, 12, 2], Operations: [] Exploring Operation: 47*12=564, Resulting Numbers: [4, 2, 564] Generated Node #2: [4, 2, 564] from Operation: 47*12=564 Current State: 94:[4, 2, 564], Operations: ['47*12=564'] Exploring Operation: 4+2=6, Resulting Numbers: [564, 6] Generated Node #3: [564, 6] from Operation: 4+2=6 Current State: 94:[564, 6], Operations: ['47*12=564', '4+2=6'] Exploring Operation: 564/6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 38, 70, 19, 42 ]
85
[ "38+70=108", "42-19=23", "108-23=85" ]
Current State: 85:[38, 70, 19, 42], Operations: [] Exploring Operation: 38+70=108, Resulting Numbers: [19, 42, 108] Generated Node #2: [19, 42, 108] from Operation: 38+70=108 Current State: 85:[19, 42, 108], Operations: ['38+70=108'] Exploring Operation: 42-19=23, Resulting Numbers: [108, 23] Generated Node #3: [108, 23] from Operation: 42-19=23 Current State: 85:[108, 23], Operations: ['38+70=108', '42-19=23'] Exploring Operation: 108-23=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 1, 99, 39, 36 ]
24
[ "1*99=99", "39+36=75", "99-75=24" ]
Current State: 24:[1, 99, 39, 36], Operations: [] Exploring Operation: 1*99=99, Resulting Numbers: [39, 36, 99] Generated Node #2: [39, 36, 99] from Operation: 1*99=99 Current State: 24:[39, 36, 99], Operations: ['1*99=99'] Exploring Operation: 39+36=75, Resulting Numbers: [99, 75] Generated Node #3: [99, 75] from Operation: 39+36=75 Current State: 24:[99, 75], Operations: ['1*99=99', '39+36=75'] Exploring Operation: 99-75=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 27, 8, 29, 80 ]
20
[ "29-27=2", "80/8=10", "2*10=20" ]
Current State: 20:[27, 8, 29, 80], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [8, 80, 2] Generated Node #2: [8, 80, 2] from Operation: 29-27=2 Current State: 20:[8, 80, 2], Operations: ['29-27=2'] Exploring Operation: 80/8=10, Resulting Numbers: [2, 10] Generated Node #3: [2, 10] from Operation: 80/8=10 Current State: 20:[2, 10], Operations: ['29-27=2', '80/8=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 2, 20, 68, 87 ]
63
[ "68-20=48", "48/2=24", "87-24=63" ]
Current State: 63:[2, 20, 68, 87], Operations: [] Exploring Operation: 68-20=48, Resulting Numbers: [2, 87, 48] Generated Node #2: [2, 87, 48] from Operation: 68-20=48 Current State: 63:[2, 87, 48], Operations: ['68-20=48'] Exploring Operation: 48/2=24, Resulting Numbers: [87, 24] Generated Node #3: [87, 24] from Operation: 48/2=24 Current State: 63:[87, 24], Operations: ['68-20=48', '48/2=24'] Exploring Operation: 87-24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 21, 67, 43, 22 ]
24
[ "22-21=1", "67-43=24", "1*24=24" ]
Current State: 24:[21, 67, 43, 22], Operations: [] Exploring Operation: 22-21=1, Resulting Numbers: [67, 43, 1] Generated Node #2: [67, 43, 1] from Operation: 22-21=1 Current State: 24:[67, 43, 1], Operations: ['22-21=1'] Exploring Operation: 67-43=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 67-43=24 Current State: 24:[1, 24], Operations: ['22-21=1', '67-43=24'] Exploring Operation: 1*24=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 51, 15, 93, 53 ]
76
[ "51-15=36", "93-53=40", "36+40=76" ]
Current State: 76:[51, 15, 93, 53], Operations: [] Exploring Operation: 51-15=36, Resulting Numbers: [93, 53, 36] Generated Node #2: [93, 53, 36] from Operation: 51-15=36 Current State: 76:[93, 53, 36], Operations: ['51-15=36'] Exploring Operation: 93-53=40, Resulting Numbers: [36, 40] Generated Node #3: [36, 40] from Operation: 93-53=40 Current State: 76:[36, 40], Operations: ['51-15=36', '93-53=40'] Exploring Operation: 36+40=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 40, 96, 15, 16 ]
11
[ "40-16=24", "96/24=4", "15-4=11" ]
Current State: 11:[40, 96, 15, 16], Operations: [] Exploring Operation: 40-16=24, Resulting Numbers: [96, 15, 24] Generated Node #2: [96, 15, 24] from Operation: 40-16=24 Current State: 11:[96, 15, 24], Operations: ['40-16=24'] Exploring Operation: 96/24=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 96/24=4 Current State: 11:[15, 4], Operations: ['40-16=24', '96/24=4'] Exploring Operation: 15-4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 68, 5, 82, 77 ]
67
[ "82-5=77", "77/77=1", "68-1=67" ]
Current State: 67:[68, 5, 82, 77], Operations: [] Exploring Operation: 82-5=77, Resulting Numbers: [68, 77, 77] Generated Node #2: [68, 77, 77] from Operation: 82-5=77 Current State: 67:[68, 77, 77], Operations: ['82-5=77'] Exploring Operation: 77/77=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 77/77=1 Current State: 67:[68, 1], Operations: ['82-5=77', '77/77=1'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 19, 25, 68, 1 ]
62
[ "25-19=6", "68*1=68", "68-6=62" ]
Current State: 62:[19, 25, 68, 1], Operations: [] Exploring Operation: 25-19=6, Resulting Numbers: [68, 1, 6] Generated Node #2: [68, 1, 6] from Operation: 25-19=6 Current State: 62:[68, 1, 6], Operations: ['25-19=6'] Exploring Operation: 68*1=68, Resulting Numbers: [6, 68] Generated Node #3: [6, 68] from Operation: 68*1=68 Current State: 62:[6, 68], Operations: ['25-19=6', '68*1=68'] Exploring Operation: 68-6=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 81, 73, 26, 49 ]
78
[ "81+49=130", "130/26=5", "73+5=78" ]
Current State: 78:[81, 73, 26, 49], Operations: [] Exploring Operation: 81+49=130, Resulting Numbers: [73, 26, 130] Generated Node #2: [73, 26, 130] from Operation: 81+49=130 Current State: 78:[73, 26, 130], Operations: ['81+49=130'] Exploring Operation: 130/26=5, Resulting Numbers: [73, 5] Generated Node #3: [73, 5] from Operation: 130/26=5 Current State: 78:[73, 5], Operations: ['81+49=130', '130/26=5'] Exploring Operation: 73+5=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 13, 70, 70, 99 ]
87
[ "99-13=86", "70/70=1", "86+1=87" ]
Current State: 87:[13, 70, 70, 99], Operations: [] Exploring Operation: 99-13=86, Resulting Numbers: [70, 70, 86] Generated Node #2: [70, 70, 86] from Operation: 99-13=86 Current State: 87:[70, 70, 86], Operations: ['99-13=86'] Exploring Operation: 70/70=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 70/70=1 Current State: 87:[86, 1], Operations: ['99-13=86', '70/70=1'] Exploring Operation: 86+1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 21, 96, 17, 64 ]
36
[ "21+96=117", "17+64=81", "117-81=36" ]
Current State: 36:[21, 96, 17, 64], Operations: [] Exploring Operation: 21+96=117, Resulting Numbers: [17, 64, 117] Generated Node #2: [17, 64, 117] from Operation: 21+96=117 Current State: 36:[17, 64, 117], Operations: ['21+96=117'] Exploring Operation: 17+64=81, Resulting Numbers: [117, 81] Generated Node #3: [117, 81] from Operation: 17+64=81 Current State: 36:[117, 81], Operations: ['21+96=117', '17+64=81'] Exploring Operation: 117-81=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 49, 84, 45, 8 ]
11
[ "49+84=133", "133-45=88", "88/8=11" ]
Current State: 11:[49, 84, 45, 8], Operations: [] Exploring Operation: 49+84=133, Resulting Numbers: [45, 8, 133] Generated Node #2: [45, 8, 133] from Operation: 49+84=133 Current State: 11:[45, 8, 133], Operations: ['49+84=133'] Exploring Operation: 133-45=88, Resulting Numbers: [8, 88] Generated Node #3: [8, 88] from Operation: 133-45=88 Current State: 11:[8, 88], Operations: ['49+84=133', '133-45=88'] Exploring Operation: 88/8=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 87, 8, 64, 69 ]
11
[ "87-64=23", "69/23=3", "8+3=11" ]
Current State: 11:[87, 8, 64, 69], Operations: [] Exploring Operation: 87-64=23, Resulting Numbers: [8, 69, 23] Generated Node #2: [8, 69, 23] from Operation: 87-64=23 Current State: 11:[8, 69, 23], Operations: ['87-64=23'] Exploring Operation: 69/23=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 69/23=3 Current State: 11:[8, 3], Operations: ['87-64=23', '69/23=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 15, 42, 20, 45 ]
75
[ "45-42=3", "20*3=60", "15+60=75" ]
Current State: 75:[15, 42, 20, 45], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [15, 20, 3] Generated Node #2: [15, 20, 3] from Operation: 45-42=3 Current State: 75:[15, 20, 3], Operations: ['45-42=3'] Exploring Operation: 20*3=60, Resulting Numbers: [15, 60] Generated Node #3: [15, 60] from Operation: 20*3=60 Current State: 75:[15, 60], Operations: ['45-42=3', '20*3=60'] Exploring Operation: 15+60=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 20, 54, 54, 91 ]
72
[ "91-20=71", "54/54=1", "71+1=72" ]
Current State: 72:[20, 54, 54, 91], Operations: [] Exploring Operation: 91-20=71, Resulting Numbers: [54, 54, 71] Generated Node #2: [54, 54, 71] from Operation: 91-20=71 Current State: 72:[54, 54, 71], Operations: ['91-20=71'] Exploring Operation: 54/54=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 54/54=1 Current State: 72:[71, 1], Operations: ['91-20=71', '54/54=1'] Exploring Operation: 71+1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 3, 67, 61, 75 ]
31
[ "75/3=25", "67-61=6", "25+6=31" ]
Current State: 31:[3, 67, 61, 75], Operations: [] Exploring Operation: 75/3=25, Resulting Numbers: [67, 61, 25] Generated Node #2: [67, 61, 25] from Operation: 75/3=25 Current State: 31:[67, 61, 25], Operations: ['75/3=25'] Exploring Operation: 67-61=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 67-61=6 Current State: 31:[25, 6], Operations: ['75/3=25', '67-61=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 65, 94, 93, 87 ]
31
[ "94-65=29", "93*29=2697", "2697/87=31" ]
Current State: 31:[65, 94, 93, 87], Operations: [] Exploring Operation: 94-65=29, Resulting Numbers: [93, 87, 29] Generated Node #2: [93, 87, 29] from Operation: 94-65=29 Current State: 31:[93, 87, 29], Operations: ['94-65=29'] Exploring Operation: 93*29=2697, Resulting Numbers: [87, 2697] Generated Node #3: [87, 2697] from Operation: 93*29=2697 Current State: 31:[87, 2697], Operations: ['94-65=29', '93*29=2697'] Exploring Operation: 2697/87=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 79, 77, 49, 11 ]
58
[ "79-77=2", "49+11=60", "60-2=58" ]
Current State: 58:[79, 77, 49, 11], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [49, 11, 2] Generated Node #2: [49, 11, 2] from Operation: 79-77=2 Current State: 58:[49, 11, 2], Operations: ['79-77=2'] Exploring Operation: 49+11=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 49+11=60 Current State: 58:[2, 60], Operations: ['79-77=2', '49+11=60'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 41, 37, 69, 8 ]
57
[ "41-37=4", "69-8=61", "61-4=57" ]
Current State: 57:[41, 37, 69, 8], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [69, 8, 4] Generated Node #2: [69, 8, 4] from Operation: 41-37=4 Current State: 57:[69, 8, 4], Operations: ['41-37=4'] Exploring Operation: 69-8=61, Resulting Numbers: [4, 61] Generated Node #3: [4, 61] from Operation: 69-8=61 Current State: 57:[4, 61], Operations: ['41-37=4', '69-8=61'] Exploring Operation: 61-4=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 27, 18, 43, 13 ]
84
[ "43+13=56", "27*56=1512", "1512/18=84" ]
Current State: 84:[27, 18, 43, 13], Operations: [] Exploring Operation: 43+13=56, Resulting Numbers: [27, 18, 56] Generated Node #2: [27, 18, 56] from Operation: 43+13=56 Current State: 84:[27, 18, 56], Operations: ['43+13=56'] Exploring Operation: 27*56=1512, Resulting Numbers: [18, 1512] Generated Node #3: [18, 1512] from Operation: 27*56=1512 Current State: 84:[18, 1512], Operations: ['43+13=56', '27*56=1512'] Exploring Operation: 1512/18=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 7, 41, 50, 29 ]
69
[ "7+41=48", "50-29=21", "48+21=69" ]
Current State: 69:[7, 41, 50, 29], Operations: [] Exploring Operation: 7+41=48, Resulting Numbers: [50, 29, 48] Generated Node #2: [50, 29, 48] from Operation: 7+41=48 Current State: 69:[50, 29, 48], Operations: ['7+41=48'] Exploring Operation: 50-29=21, Resulting Numbers: [48, 21] Generated Node #3: [48, 21] from Operation: 50-29=21 Current State: 69:[48, 21], Operations: ['7+41=48', '50-29=21'] Exploring Operation: 48+21=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 90, 2, 61, 9 ]
49
[ "90-61=29", "2*29=58", "58-9=49" ]
Current State: 49:[90, 2, 61, 9], Operations: [] Exploring Operation: 90-61=29, Resulting Numbers: [2, 9, 29] Generated Node #2: [2, 9, 29] from Operation: 90-61=29 Current State: 49:[2, 9, 29], Operations: ['90-61=29'] Exploring Operation: 2*29=58, Resulting Numbers: [9, 58] Generated Node #3: [9, 58] from Operation: 2*29=58 Current State: 49:[9, 58], Operations: ['90-61=29', '2*29=58'] Exploring Operation: 58-9=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 54, 25, 52, 68 ]
59
[ "54-52=2", "68/2=34", "25+34=59" ]
Current State: 59:[54, 25, 52, 68], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [25, 68, 2] Generated Node #2: [25, 68, 2] from Operation: 54-52=2 Current State: 59:[25, 68, 2], Operations: ['54-52=2'] Exploring Operation: 68/2=34, Resulting Numbers: [25, 34] Generated Node #3: [25, 34] from Operation: 68/2=34 Current State: 59:[25, 34], Operations: ['54-52=2', '68/2=34'] Exploring Operation: 25+34=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4