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
[ 85, 2, 32, 5 ]
96
[ "85-32=53", "53-5=48", "2*48=96" ]
Current State: 96:[85, 2, 32, 5], Operations: [] Exploring Operation: 85-32=53, Resulting Numbers: [2, 5, 53] Generated Node #2: [2, 5, 53] from Operation: 85-32=53 Current State: 96:[2, 5, 53], Operations: ['85-32=53'] Exploring Operation: 53-5=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 53-5=48 Current State: 96:[2, 48], Operations: ['85-32=53', '53-5=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 40, 38, 58, 11 ]
22
[ "40*11=440", "58-38=20", "440/20=22" ]
Current State: 22:[40, 38, 58, 11], Operations: [] Exploring Operation: 40*11=440, Resulting Numbers: [38, 58, 440] Generated Node #2: [38, 58, 440] from Operation: 40*11=440 Current State: 22:[38, 58, 440], Operations: ['40*11=440'] Exploring Operation: 58-38=20, Resulting Numbers: [440, 20] Generated Node #3: [440, 20] from Operation: 58-38=20 Current State: 22:[440, 20], Operations: ['40*11=440', '58-38=20'] Exploring Operation: 440/20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 27, 53, 55, 58 ]
83
[ "27+53=80", "58-55=3", "80+3=83" ]
Current State: 83:[27, 53, 55, 58], Operations: [] Exploring Operation: 27+53=80, Resulting Numbers: [55, 58, 80] Generated Node #2: [55, 58, 80] from Operation: 27+53=80 Current State: 83:[55, 58, 80], Operations: ['27+53=80'] Exploring Operation: 58-55=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 58-55=3 Current State: 83:[80, 3], Operations: ['27+53=80', '58-55=3'] Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 86, 76, 45, 19 ]
37
[ "86-45=41", "76/19=4", "41-4=37" ]
Current State: 37:[86, 76, 45, 19], Operations: [] Exploring Operation: 86-45=41, Resulting Numbers: [76, 19, 41] Generated Node #2: [76, 19, 41] from Operation: 86-45=41 Current State: 37:[76, 19, 41], Operations: ['86-45=41'] Exploring Operation: 76/19=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 76/19=4 Current State: 37:[41, 4], Operations: ['86-45=41', '76/19=4'] Exploring Operation: 41-4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 99, 51, 3, 63 ]
95
[ "63-51=12", "12/3=4", "99-4=95" ]
Current State: 95:[99, 51, 3, 63], Operations: [] Exploring Operation: 63-51=12, Resulting Numbers: [99, 3, 12] Generated Node #2: [99, 3, 12] from Operation: 63-51=12 Current State: 95:[99, 3, 12], Operations: ['63-51=12'] Exploring Operation: 12/3=4, Resulting Numbers: [99, 4] Generated Node #3: [99, 4] from Operation: 12/3=4 Current State: 95:[99, 4], Operations: ['63-51=12', '12/3=4'] Exploring Operation: 99-4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 66, 97, 69, 16 ]
78
[ "66+97=163", "69+16=85", "163-85=78" ]
Current State: 78:[66, 97, 69, 16], Operations: [] Exploring Operation: 66+97=163, Resulting Numbers: [69, 16, 163] Generated Node #2: [69, 16, 163] from Operation: 66+97=163 Current State: 78:[69, 16, 163], Operations: ['66+97=163'] Exploring Operation: 69+16=85, Resulting Numbers: [163, 85] Generated Node #3: [163, 85] from Operation: 69+16=85 Current State: 78:[163, 85], Operations: ['66+97=163', '69+16=85'] Exploring Operation: 163-85=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 9, 8, 97, 28 ]
39
[ "97-9=88", "88/8=11", "28+11=39" ]
Current State: 39:[9, 8, 97, 28], Operations: [] Exploring Operation: 97-9=88, Resulting Numbers: [8, 28, 88] Generated Node #2: [8, 28, 88] from Operation: 97-9=88 Current State: 39:[8, 28, 88], Operations: ['97-9=88'] Exploring Operation: 88/8=11, Resulting Numbers: [28, 11] Generated Node #3: [28, 11] from Operation: 88/8=11 Current State: 39:[28, 11], Operations: ['97-9=88', '88/8=11'] Exploring Operation: 28+11=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 21, 71, 76, 3 ]
23
[ "71-21=50", "76-3=73", "73-50=23" ]
Current State: 23:[21, 71, 76, 3], Operations: [] Exploring Operation: 71-21=50, Resulting Numbers: [76, 3, 50] Generated Node #2: [76, 3, 50] from Operation: 71-21=50 Current State: 23:[76, 3, 50], Operations: ['71-21=50'] Exploring Operation: 76-3=73, Resulting Numbers: [50, 73] Generated Node #3: [50, 73] from Operation: 76-3=73 Current State: 23:[50, 73], Operations: ['71-21=50', '76-3=73'] Exploring Operation: 73-50=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 6, 8, 33, 42 ]
86
[ "8*33=264", "264/6=44", "42+44=86" ]
Current State: 86:[6, 8, 33, 42], Operations: [] Exploring Operation: 8*33=264, Resulting Numbers: [6, 42, 264] Generated Node #2: [6, 42, 264] from Operation: 8*33=264 Current State: 86:[6, 42, 264], Operations: ['8*33=264'] Exploring Operation: 264/6=44, Resulting Numbers: [42, 44] Generated Node #3: [42, 44] from Operation: 264/6=44 Current State: 86:[42, 44], Operations: ['8*33=264', '264/6=44'] Exploring Operation: 42+44=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 72, 58, 29, 10 ]
80
[ "72+10=82", "58/29=2", "82-2=80" ]
Current State: 80:[72, 58, 29, 10], Operations: [] Exploring Operation: 72+10=82, Resulting Numbers: [58, 29, 82] Generated Node #2: [58, 29, 82] from Operation: 72+10=82 Current State: 80:[58, 29, 82], Operations: ['72+10=82'] Exploring Operation: 58/29=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 58/29=2 Current State: 80:[82, 2], Operations: ['72+10=82', '58/29=2'] Exploring Operation: 82-2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 48, 21, 84, 22 ]
89
[ "48-21=27", "84-22=62", "27+62=89" ]
Current State: 89:[48, 21, 84, 22], Operations: [] Exploring Operation: 48-21=27, Resulting Numbers: [84, 22, 27] Generated Node #2: [84, 22, 27] from Operation: 48-21=27 Current State: 89:[84, 22, 27], Operations: ['48-21=27'] Exploring Operation: 84-22=62, Resulting Numbers: [27, 62] Generated Node #3: [27, 62] from Operation: 84-22=62 Current State: 89:[27, 62], Operations: ['48-21=27', '84-22=62'] Exploring Operation: 27+62=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 82, 83, 5, 62 ]
67
[ "83-82=1", "5+62=67", "1*67=67" ]
Current State: 67:[82, 83, 5, 62], Operations: [] Exploring Operation: 83-82=1, Resulting Numbers: [5, 62, 1] Generated Node #2: [5, 62, 1] from Operation: 83-82=1 Current State: 67:[5, 62, 1], Operations: ['83-82=1'] Exploring Operation: 5+62=67, Resulting Numbers: [1, 67] Generated Node #3: [1, 67] from Operation: 5+62=67 Current State: 67:[1, 67], Operations: ['83-82=1', '5+62=67'] Exploring Operation: 1*67=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 45, 10, 94, 45 ]
14
[ "45-10=35", "94-45=49", "49-35=14" ]
Current State: 14:[45, 10, 94, 45], Operations: [] Exploring Operation: 45-10=35, Resulting Numbers: [94, 35] Generated Node #2: [94, 35] from Operation: 45-10=35 Current State: 14:[94, 35], Operations: ['45-10=35'] Exploring Operation: 94-45=49, Resulting Numbers: [35, 49] Generated Node #3: [35, 49] from Operation: 94-45=49 Current State: 14:[35, 49], Operations: ['45-10=35', '94-45=49'] Exploring Operation: 49-35=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 18, 90, 40, 81 ]
67
[ "18+90=108", "81-40=41", "108-41=67" ]
Current State: 67:[18, 90, 40, 81], Operations: [] Exploring Operation: 18+90=108, Resulting Numbers: [40, 81, 108] Generated Node #2: [40, 81, 108] from Operation: 18+90=108 Current State: 67:[40, 81, 108], Operations: ['18+90=108'] Exploring Operation: 81-40=41, Resulting Numbers: [108, 41] Generated Node #3: [108, 41] from Operation: 81-40=41 Current State: 67:[108, 41], Operations: ['18+90=108', '81-40=41'] Exploring Operation: 108-41=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 25, 32, 13, 2 ]
69
[ "25*2=50", "32-13=19", "50+19=69" ]
Current State: 69:[25, 32, 13, 2], Operations: [] Exploring Operation: 25*2=50, Resulting Numbers: [32, 13, 50] Generated Node #2: [32, 13, 50] from Operation: 25*2=50 Current State: 69:[32, 13, 50], Operations: ['25*2=50'] Exploring Operation: 32-13=19, Resulting Numbers: [50, 19] Generated Node #3: [50, 19] from Operation: 32-13=19 Current State: 69:[50, 19], Operations: ['25*2=50', '32-13=19'] Exploring Operation: 50+19=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 46, 68, 11, 80 ]
82
[ "68-46=22", "22/11=2", "80+2=82" ]
Current State: 82:[46, 68, 11, 80], Operations: [] Exploring Operation: 68-46=22, Resulting Numbers: [11, 80, 22] Generated Node #2: [11, 80, 22] from Operation: 68-46=22 Current State: 82:[11, 80, 22], Operations: ['68-46=22'] Exploring Operation: 22/11=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 22/11=2 Current State: 82:[80, 2], Operations: ['68-46=22', '22/11=2'] Exploring Operation: 80+2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 96, 3, 21, 30 ]
23
[ "96/3=32", "30-21=9", "32-9=23" ]
Current State: 23:[96, 3, 21, 30], Operations: [] Exploring Operation: 96/3=32, Resulting Numbers: [21, 30, 32] Generated Node #2: [21, 30, 32] from Operation: 96/3=32 Current State: 23:[21, 30, 32], Operations: ['96/3=32'] Exploring Operation: 30-21=9, Resulting Numbers: [32, 9] Generated Node #3: [32, 9] from Operation: 30-21=9 Current State: 23:[32, 9], Operations: ['96/3=32', '30-21=9'] Exploring Operation: 32-9=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 47, 6, 4, 2 ]
21
[ "47-2=45", "6*4=24", "45-24=21" ]
Current State: 21:[47, 6, 4, 2], Operations: [] Exploring Operation: 47-2=45, Resulting Numbers: [6, 4, 45] Generated Node #2: [6, 4, 45] from Operation: 47-2=45 Current State: 21:[6, 4, 45], Operations: ['47-2=45'] Exploring Operation: 6*4=24, Resulting Numbers: [45, 24] Generated Node #3: [45, 24] from Operation: 6*4=24 Current State: 21:[45, 24], Operations: ['47-2=45', '6*4=24'] Exploring Operation: 45-24=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 35, 41, 55, 5 ]
23
[ "35+55=90", "90/5=18", "41-18=23" ]
Current State: 23:[35, 41, 55, 5], Operations: [] Exploring Operation: 35+55=90, Resulting Numbers: [41, 5, 90] Generated Node #2: [41, 5, 90] from Operation: 35+55=90 Current State: 23:[41, 5, 90], Operations: ['35+55=90'] Exploring Operation: 90/5=18, Resulting Numbers: [41, 18] Generated Node #3: [41, 18] from Operation: 90/5=18 Current State: 23:[41, 18], Operations: ['35+55=90', '90/5=18'] Exploring Operation: 41-18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 44, 38, 88, 84 ]
78
[ "44+38=82", "88-84=4", "82-4=78" ]
Current State: 78:[44, 38, 88, 84], Operations: [] Exploring Operation: 44+38=82, Resulting Numbers: [88, 84, 82] Generated Node #2: [88, 84, 82] from Operation: 44+38=82 Current State: 78:[88, 84, 82], Operations: ['44+38=82'] Exploring Operation: 88-84=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 88-84=4 Current State: 78:[82, 4], Operations: ['44+38=82', '88-84=4'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 38, 11, 51, 1 ]
100
[ "38+11=49", "51*1=51", "49+51=100" ]
Current State: 100:[38, 11, 51, 1], Operations: [] Exploring Operation: 38+11=49, Resulting Numbers: [51, 1, 49] Generated Node #2: [51, 1, 49] from Operation: 38+11=49 Current State: 100:[51, 1, 49], Operations: ['38+11=49'] Exploring Operation: 51*1=51, Resulting Numbers: [49, 51] Generated Node #3: [49, 51] from Operation: 51*1=51 Current State: 100:[49, 51], Operations: ['38+11=49', '51*1=51'] Exploring Operation: 49+51=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 47, 78, 7, 33 ]
80
[ "47-33=14", "14/7=2", "78+2=80" ]
Current State: 80:[47, 78, 7, 33], Operations: [] Exploring Operation: 47-33=14, Resulting Numbers: [78, 7, 14] Generated Node #2: [78, 7, 14] from Operation: 47-33=14 Current State: 80:[78, 7, 14], Operations: ['47-33=14'] Exploring Operation: 14/7=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 14/7=2 Current State: 80:[78, 2], Operations: ['47-33=14', '14/7=2'] Exploring Operation: 78+2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 96, 40, 6, 88 ]
88
[ "96-88=8", "6*8=48", "40+48=88" ]
Current State: 88:[96, 40, 6, 88], Operations: [] Exploring Operation: 96-88=8, Resulting Numbers: [40, 6, 8] Generated Node #2: [40, 6, 8] from Operation: 96-88=8 Current State: 88:[40, 6, 8], Operations: ['96-88=8'] Exploring Operation: 6*8=48, Resulting Numbers: [40, 48] Generated Node #3: [40, 48] from Operation: 6*8=48 Current State: 88:[40, 48], Operations: ['96-88=8', '6*8=48'] Exploring Operation: 40+48=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 14, 33, 96, 48 ]
95
[ "14+33=47", "96-48=48", "47+48=95" ]
Current State: 95:[14, 33, 96, 48], Operations: [] Exploring Operation: 14+33=47, Resulting Numbers: [96, 48, 47] Generated Node #2: [96, 48, 47] from Operation: 14+33=47 Current State: 95:[96, 48, 47], Operations: ['14+33=47'] Exploring Operation: 96-48=48, Resulting Numbers: [47, 48] Generated Node #3: [47, 48] from Operation: 96-48=48 Current State: 95:[47, 48], Operations: ['14+33=47', '96-48=48'] Exploring Operation: 47+48=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 51, 46, 44, 2 ]
100
[ "51*2=102", "46-44=2", "102-2=100" ]
Current State: 100:[51, 46, 44, 2], Operations: [] Exploring Operation: 51*2=102, Resulting Numbers: [46, 44, 102] Generated Node #2: [46, 44, 102] from Operation: 51*2=102 Current State: 100:[46, 44, 102], Operations: ['51*2=102'] Exploring Operation: 46-44=2, Resulting Numbers: [102, 2] Generated Node #3: [102, 2] from Operation: 46-44=2 Current State: 100:[102, 2], Operations: ['51*2=102', '46-44=2'] Exploring Operation: 102-2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 53, 13, 91 ]
39
[ "2*91=182", "182/13=14", "53-14=39" ]
Current State: 39:[2, 53, 13, 91], Operations: [] Exploring Operation: 2*91=182, Resulting Numbers: [53, 13, 182] Generated Node #2: [53, 13, 182] from Operation: 2*91=182 Current State: 39:[53, 13, 182], Operations: ['2*91=182'] Exploring Operation: 182/13=14, Resulting Numbers: [53, 14] Generated Node #3: [53, 14] from Operation: 182/13=14 Current State: 39:[53, 14], Operations: ['2*91=182', '182/13=14'] Exploring Operation: 53-14=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 30, 48, 88, 50 ]
56
[ "48-30=18", "88-50=38", "18+38=56" ]
Current State: 56:[30, 48, 88, 50], Operations: [] Exploring Operation: 48-30=18, Resulting Numbers: [88, 50, 18] Generated Node #2: [88, 50, 18] from Operation: 48-30=18 Current State: 56:[88, 50, 18], Operations: ['48-30=18'] Exploring Operation: 88-50=38, Resulting Numbers: [18, 38] Generated Node #3: [18, 38] from Operation: 88-50=38 Current State: 56:[18, 38], Operations: ['48-30=18', '88-50=38'] Exploring Operation: 18+38=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 68, 80, 36, 30 ]
75
[ "68-36=32", "80*30=2400", "2400/32=75" ]
Current State: 75:[68, 80, 36, 30], Operations: [] Exploring Operation: 68-36=32, Resulting Numbers: [80, 30, 32] Generated Node #2: [80, 30, 32] from Operation: 68-36=32 Current State: 75:[80, 30, 32], Operations: ['68-36=32'] Exploring Operation: 80*30=2400, Resulting Numbers: [32, 2400] Generated Node #3: [32, 2400] from Operation: 80*30=2400 Current State: 75:[32, 2400], Operations: ['68-36=32', '80*30=2400'] Exploring Operation: 2400/32=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 24, 16, 56, 92 ]
85
[ "24-16=8", "56/8=7", "92-7=85" ]
Current State: 85:[24, 16, 56, 92], Operations: [] Exploring Operation: 24-16=8, Resulting Numbers: [56, 92, 8] Generated Node #2: [56, 92, 8] from Operation: 24-16=8 Current State: 85:[56, 92, 8], Operations: ['24-16=8'] Exploring Operation: 56/8=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 56/8=7 Current State: 85:[92, 7], Operations: ['24-16=8', '56/8=7'] Exploring Operation: 92-7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 3, 24, 21, 47 ]
98
[ "3*24=72", "47-21=26", "72+26=98" ]
Current State: 98:[3, 24, 21, 47], Operations: [] Exploring Operation: 3*24=72, Resulting Numbers: [21, 47, 72] Generated Node #2: [21, 47, 72] from Operation: 3*24=72 Current State: 98:[21, 47, 72], Operations: ['3*24=72'] Exploring Operation: 47-21=26, Resulting Numbers: [72, 26] Generated Node #3: [72, 26] from Operation: 47-21=26 Current State: 98:[72, 26], Operations: ['3*24=72', '47-21=26'] Exploring Operation: 72+26=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 26, 54, 14, 80 ]
38
[ "54-26=28", "80-14=66", "66-28=38" ]
Current State: 38:[26, 54, 14, 80], Operations: [] Exploring Operation: 54-26=28, Resulting Numbers: [14, 80, 28] Generated Node #2: [14, 80, 28] from Operation: 54-26=28 Current State: 38:[14, 80, 28], Operations: ['54-26=28'] Exploring Operation: 80-14=66, Resulting Numbers: [28, 66] Generated Node #3: [28, 66] from Operation: 80-14=66 Current State: 38:[28, 66], Operations: ['54-26=28', '80-14=66'] Exploring Operation: 66-28=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 28, 3, 82, 65 ]
42
[ "28-3=25", "82-65=17", "25+17=42" ]
Current State: 42:[28, 3, 82, 65], Operations: [] Exploring Operation: 28-3=25, Resulting Numbers: [82, 65, 25] Generated Node #2: [82, 65, 25] from Operation: 28-3=25 Current State: 42:[82, 65, 25], Operations: ['28-3=25'] Exploring Operation: 82-65=17, Resulting Numbers: [25, 17] Generated Node #3: [25, 17] from Operation: 82-65=17 Current State: 42:[25, 17], Operations: ['28-3=25', '82-65=17'] Exploring Operation: 25+17=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 81, 82, 80, 4 ]
75
[ "82-81=1", "80-4=76", "76-1=75" ]
Current State: 75:[81, 82, 80, 4], Operations: [] Exploring Operation: 82-81=1, Resulting Numbers: [80, 4, 1] Generated Node #2: [80, 4, 1] from Operation: 82-81=1 Current State: 75:[80, 4, 1], Operations: ['82-81=1'] Exploring Operation: 80-4=76, Resulting Numbers: [1, 76] Generated Node #3: [1, 76] from Operation: 80-4=76 Current State: 75:[1, 76], Operations: ['82-81=1', '80-4=76'] Exploring Operation: 76-1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 21, 65, 90, 15 ]
70
[ "90+15=105", "105/21=5", "65+5=70" ]
Current State: 70:[21, 65, 90, 15], Operations: [] Exploring Operation: 90+15=105, Resulting Numbers: [21, 65, 105] Generated Node #2: [21, 65, 105] from Operation: 90+15=105 Current State: 70:[21, 65, 105], Operations: ['90+15=105'] Exploring Operation: 105/21=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 105/21=5 Current State: 70:[65, 5], Operations: ['90+15=105', '105/21=5'] Exploring Operation: 65+5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 54, 70, 35, 10 ]
12
[ "54-35=19", "70/10=7", "19-7=12" ]
Current State: 12:[54, 70, 35, 10], Operations: [] Exploring Operation: 54-35=19, Resulting Numbers: [70, 10, 19] Generated Node #2: [70, 10, 19] from Operation: 54-35=19 Current State: 12:[70, 10, 19], Operations: ['54-35=19'] Exploring Operation: 70/10=7, Resulting Numbers: [19, 7] Generated Node #3: [19, 7] from Operation: 70/10=7 Current State: 12:[19, 7], Operations: ['54-35=19', '70/10=7'] Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 37, 18, 48, 2 ]
43
[ "37-18=19", "48/2=24", "19+24=43" ]
Current State: 43:[37, 18, 48, 2], Operations: [] Exploring Operation: 37-18=19, Resulting Numbers: [48, 2, 19] Generated Node #2: [48, 2, 19] from Operation: 37-18=19 Current State: 43:[48, 2, 19], Operations: ['37-18=19'] Exploring Operation: 48/2=24, Resulting Numbers: [19, 24] Generated Node #3: [19, 24] from Operation: 48/2=24 Current State: 43:[19, 24], Operations: ['37-18=19', '48/2=24'] Exploring Operation: 19+24=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 86, 47, 20, 60 ]
55
[ "47*60=2820", "2820/20=141", "141-86=55" ]
Current State: 55:[86, 47, 20, 60], Operations: [] Exploring Operation: 47*60=2820, Resulting Numbers: [86, 20, 2820] Generated Node #2: [86, 20, 2820] from Operation: 47*60=2820 Current State: 55:[86, 20, 2820], Operations: ['47*60=2820'] Exploring Operation: 2820/20=141, Resulting Numbers: [86, 141] Generated Node #3: [86, 141] from Operation: 2820/20=141 Current State: 55:[86, 141], Operations: ['47*60=2820', '2820/20=141'] Exploring Operation: 141-86=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 30, 65, 9, 74 ]
29
[ "65+9=74", "74/74=1", "30-1=29" ]
Current State: 29:[30, 65, 9, 74], Operations: [] Exploring Operation: 65+9=74, Resulting Numbers: [30, 74, 74] Generated Node #2: [30, 74, 74] from Operation: 65+9=74 Current State: 29:[30, 74, 74], Operations: ['65+9=74'] Exploring Operation: 74/74=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 74/74=1 Current State: 29:[30, 1], Operations: ['65+9=74', '74/74=1'] Exploring Operation: 30-1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 82, 75, 39, 26 ]
92
[ "82+75=157", "39+26=65", "157-65=92" ]
Current State: 92:[82, 75, 39, 26], Operations: [] Exploring Operation: 82+75=157, Resulting Numbers: [39, 26, 157] Generated Node #2: [39, 26, 157] from Operation: 82+75=157 Current State: 92:[39, 26, 157], Operations: ['82+75=157'] Exploring Operation: 39+26=65, Resulting Numbers: [157, 65] Generated Node #3: [157, 65] from Operation: 39+26=65 Current State: 92:[157, 65], Operations: ['82+75=157', '39+26=65'] Exploring Operation: 157-65=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 85, 67, 43, 97 ]
36
[ "85-67=18", "97-43=54", "54-18=36" ]
Current State: 36:[85, 67, 43, 97], Operations: [] Exploring Operation: 85-67=18, Resulting Numbers: [43, 97, 18] Generated Node #2: [43, 97, 18] from Operation: 85-67=18 Current State: 36:[43, 97, 18], Operations: ['85-67=18'] Exploring Operation: 97-43=54, Resulting Numbers: [18, 54] Generated Node #3: [18, 54] from Operation: 97-43=54 Current State: 36:[18, 54], Operations: ['85-67=18', '97-43=54'] Exploring Operation: 54-18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 6, 44, 17, 72 ]
93
[ "44-6=38", "72-17=55", "38+55=93" ]
Current State: 93:[6, 44, 17, 72], Operations: [] Exploring Operation: 44-6=38, Resulting Numbers: [17, 72, 38] Generated Node #2: [17, 72, 38] from Operation: 44-6=38 Current State: 93:[17, 72, 38], Operations: ['44-6=38'] Exploring Operation: 72-17=55, Resulting Numbers: [38, 55] Generated Node #3: [38, 55] from Operation: 72-17=55 Current State: 93:[38, 55], Operations: ['44-6=38', '72-17=55'] Exploring Operation: 38+55=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 66, 68, 2, 50 ]
98
[ "68-66=2", "2*50=100", "100-2=98" ]
Current State: 98:[66, 68, 2, 50], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [2, 50, 2] Generated Node #2: [2, 50, 2] from Operation: 68-66=2 Current State: 98:[2, 50, 2], Operations: ['68-66=2'] Exploring Operation: 2*50=100, Resulting Numbers: [100] 100,98 equal: Goal Reached Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 84, 1, 44, 21 ]
49
[ "84/21=4", "1+44=45", "4+45=49" ]
Current State: 49:[84, 1, 44, 21], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [1, 44, 4] Generated Node #2: [1, 44, 4] from Operation: 84/21=4 Current State: 49:[1, 44, 4], Operations: ['84/21=4'] Exploring Operation: 1+44=45, Resulting Numbers: [4, 45] Generated Node #3: [4, 45] from Operation: 1+44=45 Current State: 49:[4, 45], Operations: ['84/21=4', '1+44=45'] Exploring Operation: 4+45=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 69, 22, 63, 8 ]
24
[ "69-22=47", "63+8=71", "71-47=24" ]
Current State: 24:[69, 22, 63, 8], Operations: [] Exploring Operation: 69-22=47, Resulting Numbers: [63, 8, 47] Generated Node #2: [63, 8, 47] from Operation: 69-22=47 Current State: 24:[63, 8, 47], Operations: ['69-22=47'] Exploring Operation: 63+8=71, Resulting Numbers: [47, 71] Generated Node #3: [47, 71] from Operation: 63+8=71 Current State: 24:[47, 71], Operations: ['69-22=47', '63+8=71'] Exploring Operation: 71-47=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 66, 29, 50, 76 ]
72
[ "66+50=116", "116/29=4", "76-4=72" ]
Current State: 72:[66, 29, 50, 76], Operations: [] Exploring Operation: 66+50=116, Resulting Numbers: [29, 76, 116] Generated Node #2: [29, 76, 116] from Operation: 66+50=116 Current State: 72:[29, 76, 116], Operations: ['66+50=116'] Exploring Operation: 116/29=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 116/29=4 Current State: 72:[76, 4], Operations: ['66+50=116', '116/29=4'] Exploring Operation: 76-4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 1, 29, 28, 12 ]
10
[ "1+29=30", "28+12=40", "40-30=10" ]
Current State: 10:[1, 29, 28, 12], Operations: [] Exploring Operation: 1+29=30, Resulting Numbers: [28, 12, 30] Generated Node #2: [28, 12, 30] from Operation: 1+29=30 Current State: 10:[28, 12, 30], Operations: ['1+29=30'] Exploring Operation: 28+12=40, Resulting Numbers: [30, 40] Generated Node #3: [30, 40] from Operation: 28+12=40 Current State: 10:[30, 40], Operations: ['1+29=30', '28+12=40'] Exploring Operation: 40-30=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 5, 42, 70, 2 ]
84
[ "5-2=3", "70-42=28", "3*28=84" ]
Current State: 84:[5, 42, 70, 2], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [42, 70, 3] Generated Node #2: [42, 70, 3] from Operation: 5-2=3 Current State: 84:[42, 70, 3], Operations: ['5-2=3'] Exploring Operation: 70-42=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 70-42=28 Current State: 84:[3, 28], Operations: ['5-2=3', '70-42=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 91, 9, 50, 2 ]
63
[ "9-2=7", "91/7=13", "50+13=63" ]
Current State: 63:[91, 9, 50, 2], Operations: [] Exploring Operation: 9-2=7, Resulting Numbers: [91, 50, 7] Generated Node #2: [91, 50, 7] from Operation: 9-2=7 Current State: 63:[91, 50, 7], Operations: ['9-2=7'] Exploring Operation: 91/7=13, Resulting Numbers: [50, 13] Generated Node #3: [50, 13] from Operation: 91/7=13 Current State: 63:[50, 13], Operations: ['9-2=7', '91/7=13'] Exploring Operation: 50+13=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 60, 42, 71, 64 ]
25
[ "60-42=18", "71-64=7", "18+7=25" ]
Current State: 25:[60, 42, 71, 64], Operations: [] Exploring Operation: 60-42=18, Resulting Numbers: [71, 64, 18] Generated Node #2: [71, 64, 18] from Operation: 60-42=18 Current State: 25:[71, 64, 18], Operations: ['60-42=18'] Exploring Operation: 71-64=7, Resulting Numbers: [18, 7] Generated Node #3: [18, 7] from Operation: 71-64=7 Current State: 25:[18, 7], Operations: ['60-42=18', '71-64=7'] Exploring Operation: 18+7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 57, 17, 6, 99 ]
53
[ "57-17=40", "99-6=93", "93-40=53" ]
Current State: 53:[57, 17, 6, 99], Operations: [] Exploring Operation: 57-17=40, Resulting Numbers: [6, 99, 40] Generated Node #2: [6, 99, 40] from Operation: 57-17=40 Current State: 53:[6, 99, 40], Operations: ['57-17=40'] Exploring Operation: 99-6=93, Resulting Numbers: [40, 93] Generated Node #3: [40, 93] from Operation: 99-6=93 Current State: 53:[40, 93], Operations: ['57-17=40', '99-6=93'] Exploring Operation: 93-40=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 62, 8, 28, 24 ]
63
[ "62-8=54", "28*54=1512", "1512/24=63" ]
Current State: 63:[62, 8, 28, 24], Operations: [] Exploring Operation: 62-8=54, Resulting Numbers: [28, 24, 54] Generated Node #2: [28, 24, 54] from Operation: 62-8=54 Current State: 63:[28, 24, 54], Operations: ['62-8=54'] Exploring Operation: 28*54=1512, Resulting Numbers: [24, 1512] Generated Node #3: [24, 1512] from Operation: 28*54=1512 Current State: 63:[24, 1512], Operations: ['62-8=54', '28*54=1512'] Exploring Operation: 1512/24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 27, 37, 48, 9 ]
29
[ "37-27=10", "48-9=39", "39-10=29" ]
Current State: 29:[27, 37, 48, 9], Operations: [] Exploring Operation: 37-27=10, Resulting Numbers: [48, 9, 10] Generated Node #2: [48, 9, 10] from Operation: 37-27=10 Current State: 29:[48, 9, 10], Operations: ['37-27=10'] Exploring Operation: 48-9=39, Resulting Numbers: [10, 39] Generated Node #3: [10, 39] from Operation: 48-9=39 Current State: 29:[10, 39], Operations: ['37-27=10', '48-9=39'] Exploring Operation: 39-10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 70, 78, 2, 54 ]
97
[ "70/2=35", "78+54=132", "132-35=97" ]
Current State: 97:[70, 78, 2, 54], Operations: [] Exploring Operation: 70/2=35, Resulting Numbers: [78, 54, 35] Generated Node #2: [78, 54, 35] from Operation: 70/2=35 Current State: 97:[78, 54, 35], Operations: ['70/2=35'] Exploring Operation: 78+54=132, Resulting Numbers: [35, 132] Generated Node #3: [35, 132] from Operation: 78+54=132 Current State: 97:[35, 132], Operations: ['70/2=35', '78+54=132'] Exploring Operation: 132-35=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 91, 91, 77, 18 ]
77
[ "91-91=0", "18*0=0", "77+0=77" ]
Current State: 77:[91, 91, 77, 18], Operations: [] Exploring Operation: 91-91=0, Resulting Numbers: [77, 18, 0] Generated Node #2: [77, 18, 0] from Operation: 91-91=0 Current State: 77:[77, 18, 0], Operations: ['91-91=0'] Exploring Operation: 18*0=0, Resulting Numbers: [77, 0] Generated Node #3: [77, 0] from Operation: 18*0=0 Current State: 77:[77, 0], Operations: ['91-91=0', '18*0=0'] Exploring Operation: 77+0=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 33, 91, 61, 27 ]
24
[ "91-33=58", "61-27=34", "58-34=24" ]
Current State: 24:[33, 91, 61, 27], Operations: [] Exploring Operation: 91-33=58, Resulting Numbers: [61, 27, 58] Generated Node #2: [61, 27, 58] from Operation: 91-33=58 Current State: 24:[61, 27, 58], Operations: ['91-33=58'] Exploring Operation: 61-27=34, Resulting Numbers: [58, 34] Generated Node #3: [58, 34] from Operation: 61-27=34 Current State: 24:[58, 34], Operations: ['91-33=58', '61-27=34'] Exploring Operation: 58-34=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 84, 32, 92, 87 ]
20
[ "87-84=3", "92-32=60", "60/3=20" ]
Current State: 20:[84, 32, 92, 87], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [32, 92, 3] Generated Node #2: [32, 92, 3] from Operation: 87-84=3 Current State: 20:[32, 92, 3], Operations: ['87-84=3'] Exploring Operation: 92-32=60, Resulting Numbers: [3, 60] Generated Node #3: [3, 60] from Operation: 92-32=60 Current State: 20:[3, 60], Operations: ['87-84=3', '92-32=60'] Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 1, 53, 66, 38 ]
25
[ "1*53=53", "66-38=28", "53-28=25" ]
Current State: 25:[1, 53, 66, 38], Operations: [] Exploring Operation: 1*53=53, Resulting Numbers: [66, 38, 53] Generated Node #2: [66, 38, 53] from Operation: 1*53=53 Current State: 25:[66, 38, 53], Operations: ['1*53=53'] Exploring Operation: 66-38=28, Resulting Numbers: [53, 28] Generated Node #3: [53, 28] from Operation: 66-38=28 Current State: 25:[53, 28], Operations: ['1*53=53', '66-38=28'] Exploring Operation: 53-28=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 69, 23, 35, 9 ]
96
[ "69/23=3", "35*3=105", "105-9=96" ]
Current State: 96:[69, 23, 35, 9], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [35, 9, 3] Generated Node #2: [35, 9, 3] from Operation: 69/23=3 Current State: 96:[35, 9, 3], Operations: ['69/23=3'] Exploring Operation: 35*3=105, Resulting Numbers: [9, 105] Generated Node #3: [9, 105] from Operation: 35*3=105 Current State: 96:[9, 105], Operations: ['69/23=3', '35*3=105'] Exploring Operation: 105-9=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 12, 1, 55, 52 ]
48
[ "1+55=56", "56-52=4", "12*4=48" ]
Current State: 48:[12, 1, 55, 52], Operations: [] Exploring Operation: 1+55=56, Resulting Numbers: [12, 52, 56] Generated Node #2: [12, 52, 56] from Operation: 1+55=56 Current State: 48:[12, 52, 56], Operations: ['1+55=56'] Exploring Operation: 56-52=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 56-52=4 Current State: 48:[12, 4], Operations: ['1+55=56', '56-52=4'] Exploring Operation: 12*4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 78, 11, 88, 71 ]
84
[ "78-11=67", "88-71=17", "67+17=84" ]
Current State: 84:[78, 11, 88, 71], Operations: [] Exploring Operation: 78-11=67, Resulting Numbers: [88, 71, 67] Generated Node #2: [88, 71, 67] from Operation: 78-11=67 Current State: 84:[88, 71, 67], Operations: ['78-11=67'] Exploring Operation: 88-71=17, Resulting Numbers: [67, 17] Generated Node #3: [67, 17] from Operation: 88-71=17 Current State: 84:[67, 17], Operations: ['78-11=67', '88-71=17'] Exploring Operation: 67+17=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 17, 7, 93, 85 ]
16
[ "17+7=24", "93-85=8", "24-8=16" ]
Current State: 16:[17, 7, 93, 85], Operations: [] Exploring Operation: 17+7=24, Resulting Numbers: [93, 85, 24] Generated Node #2: [93, 85, 24] from Operation: 17+7=24 Current State: 16:[93, 85, 24], Operations: ['17+7=24'] Exploring Operation: 93-85=8, Resulting Numbers: [24, 8] Generated Node #3: [24, 8] from Operation: 93-85=8 Current State: 16:[24, 8], Operations: ['17+7=24', '93-85=8'] Exploring Operation: 24-8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 43, 66, 40, 10 ]
80
[ "43-10=33", "66*40=2640", "2640/33=80" ]
Current State: 80:[43, 66, 40, 10], Operations: [] Exploring Operation: 43-10=33, Resulting Numbers: [66, 40, 33] Generated Node #2: [66, 40, 33] from Operation: 43-10=33 Current State: 80:[66, 40, 33], Operations: ['43-10=33'] Exploring Operation: 66*40=2640, Resulting Numbers: [33, 2640] Generated Node #3: [33, 2640] from Operation: 66*40=2640 Current State: 80:[33, 2640], Operations: ['43-10=33', '66*40=2640'] Exploring Operation: 2640/33=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 17, 35, 41, 22 ]
70
[ "41-17=24", "24-22=2", "35*2=70" ]
Current State: 70:[17, 35, 41, 22], Operations: [] Exploring Operation: 41-17=24, Resulting Numbers: [35, 22, 24] Generated Node #2: [35, 22, 24] from Operation: 41-17=24 Current State: 70:[35, 22, 24], Operations: ['41-17=24'] Exploring Operation: 24-22=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 24-22=2 Current State: 70:[35, 2], Operations: ['41-17=24', '24-22=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 54, 46, 37, 6 ]
85
[ "54-46=8", "6*8=48", "37+48=85" ]
Current State: 85:[54, 46, 37, 6], Operations: [] Exploring Operation: 54-46=8, Resulting Numbers: [37, 6, 8] Generated Node #2: [37, 6, 8] from Operation: 54-46=8 Current State: 85:[37, 6, 8], Operations: ['54-46=8'] Exploring Operation: 6*8=48, Resulting Numbers: [37, 48] Generated Node #3: [37, 48] from Operation: 6*8=48 Current State: 85:[37, 48], Operations: ['54-46=8', '6*8=48'] Exploring Operation: 37+48=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 12, 17, 13, 87 ]
20
[ "17-12=5", "13+87=100", "100/5=20" ]
Current State: 20:[12, 17, 13, 87], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [13, 87, 5] Generated Node #2: [13, 87, 5] from Operation: 17-12=5 Current State: 20:[13, 87, 5], Operations: ['17-12=5'] Exploring Operation: 13+87=100, Resulting Numbers: [5, 100] Generated Node #3: [5, 100] from Operation: 13+87=100 Current State: 20:[5, 100], Operations: ['17-12=5', '13+87=100'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 52, 30, 42, 11 ]
21
[ "52-30=22", "42*11=462", "462/22=21" ]
Current State: 21:[52, 30, 42, 11], Operations: [] Exploring Operation: 52-30=22, Resulting Numbers: [42, 11, 22] Generated Node #2: [42, 11, 22] from Operation: 52-30=22 Current State: 21:[42, 11, 22], Operations: ['52-30=22'] Exploring Operation: 42*11=462, Resulting Numbers: [22, 462] Generated Node #3: [22, 462] from Operation: 42*11=462 Current State: 21:[22, 462], Operations: ['52-30=22', '42*11=462'] Exploring Operation: 462/22=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 7, 26, 6, 35 ]
60
[ "26-7=19", "6+35=41", "19+41=60" ]
Current State: 60:[7, 26, 6, 35], Operations: [] Exploring Operation: 26-7=19, Resulting Numbers: [6, 35, 19] Generated Node #2: [6, 35, 19] from Operation: 26-7=19 Current State: 60:[6, 35, 19], Operations: ['26-7=19'] Exploring Operation: 6+35=41, Resulting Numbers: [19, 41] Generated Node #3: [19, 41] from Operation: 6+35=41 Current State: 60:[19, 41], Operations: ['26-7=19', '6+35=41'] Exploring Operation: 19+41=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 50, 55, 29, 63 ]
97
[ "50*55=2750", "63+2750=2813", "2813/29=97" ]
Current State: 97:[50, 55, 29, 63], Operations: [] Exploring Operation: 50*55=2750, Resulting Numbers: [29, 63, 2750] Generated Node #2: [29, 63, 2750] from Operation: 50*55=2750 Current State: 97:[29, 63, 2750], Operations: ['50*55=2750'] Exploring Operation: 63+2750=2813, Resulting Numbers: [29, 2813] Generated Node #3: [29, 2813] from Operation: 63+2750=2813 Current State: 97:[29, 2813], Operations: ['50*55=2750', '63+2750=2813'] Exploring Operation: 2813/29=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 90, 2, 3, 55 ]
27
[ "90/3=30", "2+55=57", "57-30=27" ]
Current State: 27:[90, 2, 3, 55], Operations: [] Exploring Operation: 90/3=30, Resulting Numbers: [2, 55, 30] Generated Node #2: [2, 55, 30] from Operation: 90/3=30 Current State: 27:[2, 55, 30], Operations: ['90/3=30'] Exploring Operation: 2+55=57, Resulting Numbers: [30, 57] Generated Node #3: [30, 57] from Operation: 2+55=57 Current State: 27:[30, 57], Operations: ['90/3=30', '2+55=57'] Exploring Operation: 57-30=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 53, 81, 8, 18 ]
19
[ "53+81=134", "18+134=152", "152/8=19" ]
Current State: 19:[53, 81, 8, 18], Operations: [] Exploring Operation: 53+81=134, Resulting Numbers: [8, 18, 134] Generated Node #2: [8, 18, 134] from Operation: 53+81=134 Current State: 19:[8, 18, 134], Operations: ['53+81=134'] Exploring Operation: 18+134=152, Resulting Numbers: [8, 152] Generated Node #3: [8, 152] from Operation: 18+134=152 Current State: 19:[8, 152], Operations: ['53+81=134', '18+134=152'] Exploring Operation: 152/8=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 70, 35, 19, 31 ]
85
[ "70-35=35", "19+31=50", "35+50=85" ]
Current State: 85:[70, 35, 19, 31], Operations: [] Exploring Operation: 70-35=35, Resulting Numbers: [19, 31, 35] Generated Node #2: [19, 31, 35] from Operation: 70-35=35 Current State: 85:[19, 31, 35], Operations: ['70-35=35'] Exploring Operation: 19+31=50, Resulting Numbers: [35, 50] Generated Node #3: [35, 50] from Operation: 19+31=50 Current State: 85:[35, 50], Operations: ['70-35=35', '19+31=50'] Exploring Operation: 35+50=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 41, 82, 35, 16 ]
38
[ "82/41=2", "35-16=19", "2*19=38" ]
Current State: 38:[41, 82, 35, 16], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [35, 16, 2] Generated Node #2: [35, 16, 2] from Operation: 82/41=2 Current State: 38:[35, 16, 2], Operations: ['82/41=2'] Exploring Operation: 35-16=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 35-16=19 Current State: 38:[2, 19], Operations: ['82/41=2', '35-16=19'] Exploring Operation: 2*19=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 73, 96, 85, 99 ]
15
[ "73+96=169", "85+99=184", "184-169=15" ]
Current State: 15:[73, 96, 85, 99], Operations: [] Exploring Operation: 73+96=169, Resulting Numbers: [85, 99, 169] Generated Node #2: [85, 99, 169] from Operation: 73+96=169 Current State: 15:[85, 99, 169], Operations: ['73+96=169'] Exploring Operation: 85+99=184, Resulting Numbers: [169, 184] Generated Node #3: [169, 184] from Operation: 85+99=184 Current State: 15:[169, 184], Operations: ['73+96=169', '85+99=184'] Exploring Operation: 184-169=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 27, 30, 28, 82 ]
60
[ "82-28=54", "54/27=2", "30*2=60" ]
Current State: 60:[27, 30, 28, 82], Operations: [] Exploring Operation: 82-28=54, Resulting Numbers: [27, 30, 54] Generated Node #2: [27, 30, 54] from Operation: 82-28=54 Current State: 60:[27, 30, 54], Operations: ['82-28=54'] Exploring Operation: 54/27=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 54/27=2 Current State: 60:[30, 2], Operations: ['82-28=54', '54/27=2'] Exploring Operation: 30*2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 45, 33, 27, 45 ]
30
[ "45-33=12", "45-27=18", "12+18=30" ]
Current State: 30:[45, 33, 27, 45], Operations: [] Exploring Operation: 45-33=12, Resulting Numbers: [27, 12] Generated Node #2: [27, 12] from Operation: 45-33=12 Current State: 30:[27, 12], Operations: ['45-33=12'] Exploring Operation: 45-27=18, Resulting Numbers: [12, 18] Generated Node #3: [12, 18] from Operation: 45-27=18 Current State: 30:[12, 18], Operations: ['45-33=12', '45-27=18'] Exploring Operation: 12+18=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 20, 68, 30, 4 ]
90
[ "68/4=17", "20-17=3", "30*3=90" ]
Current State: 90:[20, 68, 30, 4], Operations: [] Exploring Operation: 68/4=17, Resulting Numbers: [20, 30, 17] Generated Node #2: [20, 30, 17] from Operation: 68/4=17 Current State: 90:[20, 30, 17], Operations: ['68/4=17'] Exploring Operation: 20-17=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 20-17=3 Current State: 90:[30, 3], Operations: ['68/4=17', '20-17=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 58, 64, 42, 10 ]
46
[ "64-58=6", "42+10=52", "52-6=46" ]
Current State: 46:[58, 64, 42, 10], Operations: [] Exploring Operation: 64-58=6, Resulting Numbers: [42, 10, 6] Generated Node #2: [42, 10, 6] from Operation: 64-58=6 Current State: 46:[42, 10, 6], Operations: ['64-58=6'] Exploring Operation: 42+10=52, Resulting Numbers: [6, 52] Generated Node #3: [6, 52] from Operation: 42+10=52 Current State: 46:[6, 52], Operations: ['64-58=6', '42+10=52'] Exploring Operation: 52-6=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 65, 38, 35, 36 ]
15
[ "65-35=30", "38-36=2", "30/2=15" ]
Current State: 15:[65, 38, 35, 36], Operations: [] Exploring Operation: 65-35=30, Resulting Numbers: [38, 36, 30] Generated Node #2: [38, 36, 30] from Operation: 65-35=30 Current State: 15:[38, 36, 30], Operations: ['65-35=30'] Exploring Operation: 38-36=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 38-36=2 Current State: 15:[30, 2], Operations: ['65-35=30', '38-36=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 88, 99, 57, 2 ]
65
[ "88+99=187", "187-57=130", "130/2=65" ]
Current State: 65:[88, 99, 57, 2], Operations: [] Exploring Operation: 88+99=187, Resulting Numbers: [57, 2, 187] Generated Node #2: [57, 2, 187] from Operation: 88+99=187 Current State: 65:[57, 2, 187], Operations: ['88+99=187'] Exploring Operation: 187-57=130, Resulting Numbers: [2, 130] Generated Node #3: [2, 130] from Operation: 187-57=130 Current State: 65:[2, 130], Operations: ['88+99=187', '187-57=130'] Exploring Operation: 130/2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 68, 31, 30, 2 ]
90
[ "68/2=34", "34-31=3", "30*3=90" ]
Current State: 90:[68, 31, 30, 2], Operations: [] Exploring Operation: 68/2=34, Resulting Numbers: [31, 30, 34] Generated Node #2: [31, 30, 34] from Operation: 68/2=34 Current State: 90:[31, 30, 34], Operations: ['68/2=34'] Exploring Operation: 34-31=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 34-31=3 Current State: 90:[30, 3], Operations: ['68/2=34', '34-31=3'] Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 12, 26, 68, 27 ]
81
[ "26-12=14", "68+27=95", "95-14=81" ]
Current State: 81:[12, 26, 68, 27], Operations: [] Exploring Operation: 26-12=14, Resulting Numbers: [68, 27, 14] Generated Node #2: [68, 27, 14] from Operation: 26-12=14 Current State: 81:[68, 27, 14], Operations: ['26-12=14'] Exploring Operation: 68+27=95, Resulting Numbers: [14, 95] Generated Node #3: [14, 95] from Operation: 68+27=95 Current State: 81:[14, 95], Operations: ['26-12=14', '68+27=95'] Exploring Operation: 95-14=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 89, 29, 24, 68 ]
76
[ "89*24=2136", "68+2136=2204", "2204/29=76" ]
Current State: 76:[89, 29, 24, 68], Operations: [] Exploring Operation: 89*24=2136, Resulting Numbers: [29, 68, 2136] Generated Node #2: [29, 68, 2136] from Operation: 89*24=2136 Current State: 76:[29, 68, 2136], Operations: ['89*24=2136'] Exploring Operation: 68+2136=2204, Resulting Numbers: [29, 2204] Generated Node #3: [29, 2204] from Operation: 68+2136=2204 Current State: 76:[29, 2204], Operations: ['89*24=2136', '68+2136=2204'] Exploring Operation: 2204/29=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 43, 37, 65, 82 ]
63
[ "43+37=80", "82-65=17", "80-17=63" ]
Current State: 63:[43, 37, 65, 82], Operations: [] Exploring Operation: 43+37=80, Resulting Numbers: [65, 82, 80] Generated Node #2: [65, 82, 80] from Operation: 43+37=80 Current State: 63:[65, 82, 80], Operations: ['43+37=80'] Exploring Operation: 82-65=17, Resulting Numbers: [80, 17] Generated Node #3: [80, 17] from Operation: 82-65=17 Current State: 63:[80, 17], Operations: ['43+37=80', '82-65=17'] Exploring Operation: 80-17=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 61, 86, 78, 19 ]
72
[ "86-61=25", "78+19=97", "97-25=72" ]
Current State: 72:[61, 86, 78, 19], Operations: [] Exploring Operation: 86-61=25, Resulting Numbers: [78, 19, 25] Generated Node #2: [78, 19, 25] from Operation: 86-61=25 Current State: 72:[78, 19, 25], Operations: ['86-61=25'] Exploring Operation: 78+19=97, Resulting Numbers: [25, 97] Generated Node #3: [25, 97] from Operation: 78+19=97 Current State: 72:[25, 97], Operations: ['86-61=25', '78+19=97'] Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 22, 17, 46, 37 ]
32
[ "22*37=814", "17*46=782", "814-782=32" ]
Current State: 32:[22, 17, 46, 37], Operations: [] Exploring Operation: 22*37=814, Resulting Numbers: [17, 46, 814] Generated Node #2: [17, 46, 814] from Operation: 22*37=814 Current State: 32:[17, 46, 814], Operations: ['22*37=814'] Exploring Operation: 17*46=782, Resulting Numbers: [814, 782] Generated Node #3: [814, 782] from Operation: 17*46=782 Current State: 32:[814, 782], Operations: ['22*37=814', '17*46=782'] Exploring Operation: 814-782=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 28, 72, 10, 90 ]
25
[ "28*90=2520", "2520/72=35", "35-10=25" ]
Current State: 25:[28, 72, 10, 90], Operations: [] Exploring Operation: 28*90=2520, Resulting Numbers: [72, 10, 2520] Generated Node #2: [72, 10, 2520] from Operation: 28*90=2520 Current State: 25:[72, 10, 2520], Operations: ['28*90=2520'] Exploring Operation: 2520/72=35, Resulting Numbers: [10, 35] Generated Node #3: [10, 35] from Operation: 2520/72=35 Current State: 25:[10, 35], Operations: ['28*90=2520', '2520/72=35'] Exploring Operation: 35-10=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 52, 52, 69, 7 ]
62
[ "52-52=0", "69-7=62", "0+62=62" ]
Current State: 62:[52, 52, 69, 7], Operations: [] Exploring Operation: 52-52=0, Resulting Numbers: [69, 7, 0] Generated Node #2: [69, 7, 0] from Operation: 52-52=0 Current State: 62:[69, 7, 0], Operations: ['52-52=0'] Exploring Operation: 69-7=62, Resulting Numbers: [0, 62] Generated Node #3: [0, 62] from Operation: 69-7=62 Current State: 62:[0, 62], Operations: ['52-52=0', '69-7=62'] Exploring Operation: 0+62=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 73, 56, 17, 9 ]
22
[ "73*17=1241", "1241-9=1232", "1232/56=22" ]
Current State: 22:[73, 56, 17, 9], Operations: [] Exploring Operation: 73*17=1241, Resulting Numbers: [56, 9, 1241] Generated Node #2: [56, 9, 1241] from Operation: 73*17=1241 Current State: 22:[56, 9, 1241], Operations: ['73*17=1241'] Exploring Operation: 1241-9=1232, Resulting Numbers: [56, 1232] Generated Node #3: [56, 1232] from Operation: 1241-9=1232 Current State: 22:[56, 1232], Operations: ['73*17=1241', '1241-9=1232'] Exploring Operation: 1232/56=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 45, 2, 15, 82 ]
89
[ "82-45=37", "2*37=74", "15+74=89" ]
Current State: 89:[45, 2, 15, 82], Operations: [] Exploring Operation: 82-45=37, Resulting Numbers: [2, 15, 37] Generated Node #2: [2, 15, 37] from Operation: 82-45=37 Current State: 89:[2, 15, 37], Operations: ['82-45=37'] Exploring Operation: 2*37=74, Resulting Numbers: [15, 74] Generated Node #3: [15, 74] from Operation: 2*37=74 Current State: 89:[15, 74], Operations: ['82-45=37', '2*37=74'] Exploring Operation: 15+74=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 90, 29, 80, 50 ]
24
[ "90-80=10", "50/10=5", "29-5=24" ]
Current State: 24:[90, 29, 80, 50], Operations: [] Exploring Operation: 90-80=10, Resulting Numbers: [29, 50, 10] Generated Node #2: [29, 50, 10] from Operation: 90-80=10 Current State: 24:[29, 50, 10], Operations: ['90-80=10'] Exploring Operation: 50/10=5, Resulting Numbers: [29, 5] Generated Node #3: [29, 5] from Operation: 50/10=5 Current State: 24:[29, 5], Operations: ['90-80=10', '50/10=5'] Exploring Operation: 29-5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 27, 8, 46, 49 ]
16
[ "27-8=19", "49-46=3", "19-3=16" ]
Current State: 16:[27, 8, 46, 49], Operations: [] Exploring Operation: 27-8=19, Resulting Numbers: [46, 49, 19] Generated Node #2: [46, 49, 19] from Operation: 27-8=19 Current State: 16:[46, 49, 19], Operations: ['27-8=19'] Exploring Operation: 49-46=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 49-46=3 Current State: 16:[19, 3], Operations: ['27-8=19', '49-46=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 12, 25, 14, 46 ]
20
[ "14+46=60", "60/12=5", "25-5=20" ]
Current State: 20:[12, 25, 14, 46], Operations: [] Exploring Operation: 14+46=60, Resulting Numbers: [12, 25, 60] Generated Node #2: [12, 25, 60] from Operation: 14+46=60 Current State: 20:[12, 25, 60], Operations: ['14+46=60'] Exploring Operation: 60/12=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 60/12=5 Current State: 20:[25, 5], Operations: ['14+46=60', '60/12=5'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 23, 93, 66, 42 ]
94
[ "93-23=70", "66-42=24", "70+24=94" ]
Current State: 94:[23, 93, 66, 42], Operations: [] Exploring Operation: 93-23=70, Resulting Numbers: [66, 42, 70] Generated Node #2: [66, 42, 70] from Operation: 93-23=70 Current State: 94:[66, 42, 70], Operations: ['93-23=70'] Exploring Operation: 66-42=24, Resulting Numbers: [70, 24] Generated Node #3: [70, 24] from Operation: 66-42=24 Current State: 94:[70, 24], Operations: ['93-23=70', '66-42=24'] Exploring Operation: 70+24=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 55, 51, 19, 2 ]
21
[ "55-51=4", "19-2=17", "4+17=21" ]
Current State: 21:[55, 51, 19, 2], Operations: [] Exploring Operation: 55-51=4, Resulting Numbers: [19, 2, 4] Generated Node #2: [19, 2, 4] from Operation: 55-51=4 Current State: 21:[19, 2, 4], Operations: ['55-51=4'] Exploring Operation: 19-2=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 19-2=17 Current State: 21:[4, 17], Operations: ['55-51=4', '19-2=17'] Exploring Operation: 4+17=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 22, 10, 84, 5 ]
40
[ "22*10=220", "220/5=44", "84-44=40" ]
Current State: 40:[22, 10, 84, 5], Operations: [] Exploring Operation: 22*10=220, Resulting Numbers: [84, 5, 220] Generated Node #2: [84, 5, 220] from Operation: 22*10=220 Current State: 40:[84, 5, 220], Operations: ['22*10=220'] Exploring Operation: 220/5=44, Resulting Numbers: [84, 44] Generated Node #3: [84, 44] from Operation: 220/5=44 Current State: 40:[84, 44], Operations: ['22*10=220', '220/5=44'] Exploring Operation: 84-44=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 5, 56, 24, 19 ]
31
[ "24-19=5", "5*5=25", "56-25=31" ]
Current State: 31:[5, 56, 24, 19], Operations: [] Exploring Operation: 24-19=5, Resulting Numbers: [5, 56, 5] Generated Node #2: [5, 56, 5] from Operation: 24-19=5 Current State: 31:[5, 56, 5], Operations: ['24-19=5'] Exploring Operation: 5*5=25, Resulting Numbers: [56, 25] Generated Node #3: [56, 25] from Operation: 5*5=25 Current State: 31:[56, 25], Operations: ['24-19=5', '5*5=25'] Exploring Operation: 56-25=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 81, 62, 7, 41 ]
27
[ "81*7=567", "62-41=21", "567/21=27" ]
Current State: 27:[81, 62, 7, 41], Operations: [] Exploring Operation: 81*7=567, Resulting Numbers: [62, 41, 567] Generated Node #2: [62, 41, 567] from Operation: 81*7=567 Current State: 27:[62, 41, 567], Operations: ['81*7=567'] Exploring Operation: 62-41=21, Resulting Numbers: [567, 21] Generated Node #3: [567, 21] from Operation: 62-41=21 Current State: 27:[567, 21], Operations: ['81*7=567', '62-41=21'] Exploring Operation: 567/21=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 56, 72, 15, 82 ]
61
[ "56+72=128", "82-15=67", "128-67=61" ]
Current State: 61:[56, 72, 15, 82], Operations: [] Exploring Operation: 56+72=128, Resulting Numbers: [15, 82, 128] Generated Node #2: [15, 82, 128] from Operation: 56+72=128 Current State: 61:[15, 82, 128], Operations: ['56+72=128'] Exploring Operation: 82-15=67, Resulting Numbers: [128, 67] Generated Node #3: [128, 67] from Operation: 82-15=67 Current State: 61:[128, 67], Operations: ['56+72=128', '82-15=67'] Exploring Operation: 128-67=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 63, 9, 44, 60 ]
81
[ "60-44=16", "9*16=144", "144-63=81" ]
Current State: 81:[63, 9, 44, 60], Operations: [] Exploring Operation: 60-44=16, Resulting Numbers: [63, 9, 16] Generated Node #2: [63, 9, 16] from Operation: 60-44=16 Current State: 81:[63, 9, 16], Operations: ['60-44=16'] Exploring Operation: 9*16=144, Resulting Numbers: [63, 144] Generated Node #3: [63, 144] from Operation: 9*16=144 Current State: 81:[63, 144], Operations: ['60-44=16', '9*16=144'] Exploring Operation: 144-63=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 67, 10, 11, 81 ]
30
[ "67+11=78", "81-78=3", "10*3=30" ]
Current State: 30:[67, 10, 11, 81], Operations: [] Exploring Operation: 67+11=78, Resulting Numbers: [10, 81, 78] Generated Node #2: [10, 81, 78] from Operation: 67+11=78 Current State: 30:[10, 81, 78], Operations: ['67+11=78'] Exploring Operation: 81-78=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 81-78=3 Current State: 30:[10, 3], Operations: ['67+11=78', '81-78=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4