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
[ 24, 84, 12, 28 ]
84
[ "24*84=2016", "2016/28=72", "12+72=84" ]
Current State: 84:[24, 84, 12, 28], Operations: [] Exploring Operation: 24*84=2016, Resulting Numbers: [12, 28, 2016] Generated Node #2: [12, 28, 2016] from Operation: 24*84=2016 Current State: 84:[12, 28, 2016], Operations: ['24*84=2016'] Exploring Operation: 2016/28=72, Resulting Numbers: [12, 72] Generated Node #3: [12, 72] from Operation: 2016/28=72 Current State: 84:[12, 72], Operations: ['24*84=2016', '2016/28=72'] Exploring Operation: 12+72=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 38, 4, 7, 15 ]
40
[ "15-7=8", "8/4=2", "38+2=40" ]
Current State: 40:[38, 4, 7, 15], Operations: [] Exploring Operation: 15-7=8, Resulting Numbers: [38, 4, 8] Generated Node #2: [38, 4, 8] from Operation: 15-7=8 Current State: 40:[38, 4, 8], Operations: ['15-7=8'] Exploring Operation: 8/4=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 8/4=2 Current State: 40:[38, 2], Operations: ['15-7=8', '8/4=2'] Exploring Operation: 38+2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 30, 92, 66, 60 ]
59
[ "30*66=1980", "1980/60=33", "92-33=59" ]
Current State: 59:[30, 92, 66, 60], Operations: [] Exploring Operation: 30*66=1980, Resulting Numbers: [92, 60, 1980] Generated Node #2: [92, 60, 1980] from Operation: 30*66=1980 Current State: 59:[92, 60, 1980], Operations: ['30*66=1980'] Exploring Operation: 1980/60=33, Resulting Numbers: [92, 33] Generated Node #3: [92, 33] from Operation: 1980/60=33 Current State: 59:[92, 33], Operations: ['30*66=1980', '1980/60=33'] Exploring Operation: 92-33=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 12, 38, 80, 50 ]
81
[ "12+38=50", "50/50=1", "80+1=81" ]
Current State: 81:[12, 38, 80, 50], Operations: [] Exploring Operation: 12+38=50, Resulting Numbers: [80, 50, 50] Generated Node #2: [80, 50, 50] from Operation: 12+38=50 Current State: 81:[80, 50, 50], Operations: ['12+38=50'] Exploring Operation: 50/50=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 50/50=1 Current State: 81:[80, 1], Operations: ['12+38=50', '50/50=1'] Exploring Operation: 80+1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 35, 62, 73, 50 ]
96
[ "62-35=27", "73+50=123", "123-27=96" ]
Current State: 96:[35, 62, 73, 50], Operations: [] Exploring Operation: 62-35=27, Resulting Numbers: [73, 50, 27] Generated Node #2: [73, 50, 27] from Operation: 62-35=27 Current State: 96:[73, 50, 27], Operations: ['62-35=27'] Exploring Operation: 73+50=123, Resulting Numbers: [27, 123] Generated Node #3: [27, 123] from Operation: 73+50=123 Current State: 96:[27, 123], Operations: ['62-35=27', '73+50=123'] Exploring Operation: 123-27=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 79, 65, 23, 47 ]
74
[ "79+65=144", "23+47=70", "144-70=74" ]
Current State: 74:[79, 65, 23, 47], Operations: [] Exploring Operation: 79+65=144, Resulting Numbers: [23, 47, 144] Generated Node #2: [23, 47, 144] from Operation: 79+65=144 Current State: 74:[23, 47, 144], Operations: ['79+65=144'] Exploring Operation: 23+47=70, Resulting Numbers: [144, 70] Generated Node #3: [144, 70] from Operation: 23+47=70 Current State: 74:[144, 70], Operations: ['79+65=144', '23+47=70'] Exploring Operation: 144-70=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 10, 31, 90, 94 ]
26
[ "10*90=900", "900-94=806", "806/31=26" ]
Current State: 26:[10, 31, 90, 94], Operations: [] Exploring Operation: 10*90=900, Resulting Numbers: [31, 94, 900] Generated Node #2: [31, 94, 900] from Operation: 10*90=900 Current State: 26:[31, 94, 900], Operations: ['10*90=900'] Exploring Operation: 900-94=806, Resulting Numbers: [31, 806] Generated Node #3: [31, 806] from Operation: 900-94=806 Current State: 26:[31, 806], Operations: ['10*90=900', '900-94=806'] Exploring Operation: 806/31=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 57, 58, 82, 33 ]
48
[ "58-57=1", "82-33=49", "49-1=48" ]
Current State: 48:[57, 58, 82, 33], Operations: [] Exploring Operation: 58-57=1, Resulting Numbers: [82, 33, 1] Generated Node #2: [82, 33, 1] from Operation: 58-57=1 Current State: 48:[82, 33, 1], Operations: ['58-57=1'] Exploring Operation: 82-33=49, Resulting Numbers: [1, 49] Generated Node #3: [1, 49] from Operation: 82-33=49 Current State: 48:[1, 49], Operations: ['58-57=1', '82-33=49'] Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 52, 8, 92, 1 ]
14
[ "92-1=91", "8*91=728", "728/52=14" ]
Current State: 14:[52, 8, 92, 1], Operations: [] Exploring Operation: 92-1=91, Resulting Numbers: [52, 8, 91] Generated Node #2: [52, 8, 91] from Operation: 92-1=91 Current State: 14:[52, 8, 91], Operations: ['92-1=91'] Exploring Operation: 8*91=728, Resulting Numbers: [52, 728] Generated Node #3: [52, 728] from Operation: 8*91=728 Current State: 14:[52, 728], Operations: ['92-1=91', '8*91=728'] Exploring Operation: 728/52=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 28, 21, 49, 63 ]
70
[ "28-21=7", "49/7=7", "63+7=70" ]
Current State: 70:[28, 21, 49, 63], Operations: [] Exploring Operation: 28-21=7, Resulting Numbers: [49, 63, 7] Generated Node #2: [49, 63, 7] from Operation: 28-21=7 Current State: 70:[49, 63, 7], Operations: ['28-21=7'] Exploring Operation: 49/7=7, Resulting Numbers: [63, 7] Generated Node #3: [63, 7] from Operation: 49/7=7 Current State: 70:[63, 7], Operations: ['28-21=7', '49/7=7'] Exploring Operation: 63+7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 14, 18, 64, 16 ]
14
[ "14+18=32", "64/32=2", "16-2=14" ]
Current State: 14:[14, 18, 64, 16], Operations: [] Exploring Operation: 14+18=32, Resulting Numbers: [64, 16, 32] Generated Node #2: [64, 16, 32] from Operation: 14+18=32 Current State: 14:[64, 16, 32], Operations: ['14+18=32'] Exploring Operation: 64/32=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 64/32=2 Current State: 14:[16, 2], Operations: ['14+18=32', '64/32=2'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 79, 71, 28, 48 ]
74
[ "79+71=150", "28+48=76", "150-76=74" ]
Current State: 74:[79, 71, 28, 48], Operations: [] Exploring Operation: 79+71=150, Resulting Numbers: [28, 48, 150] Generated Node #2: [28, 48, 150] from Operation: 79+71=150 Current State: 74:[28, 48, 150], Operations: ['79+71=150'] Exploring Operation: 28+48=76, Resulting Numbers: [150, 76] Generated Node #3: [150, 76] from Operation: 28+48=76 Current State: 74:[150, 76], Operations: ['79+71=150', '28+48=76'] Exploring Operation: 150-76=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 18, 40, 34, 5 ]
97
[ "18+40=58", "34+5=39", "58+39=97" ]
Current State: 97:[18, 40, 34, 5], Operations: [] Exploring Operation: 18+40=58, Resulting Numbers: [34, 5, 58] Generated Node #2: [34, 5, 58] from Operation: 18+40=58 Current State: 97:[34, 5, 58], Operations: ['18+40=58'] Exploring Operation: 34+5=39, Resulting Numbers: [58, 39] Generated Node #3: [58, 39] from Operation: 34+5=39 Current State: 97:[58, 39], Operations: ['18+40=58', '34+5=39'] Exploring Operation: 58+39=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 22, 71, 61, 99 ]
87
[ "71-22=49", "99-61=38", "49+38=87" ]
Current State: 87:[22, 71, 61, 99], Operations: [] Exploring Operation: 71-22=49, Resulting Numbers: [61, 99, 49] Generated Node #2: [61, 99, 49] from Operation: 71-22=49 Current State: 87:[61, 99, 49], Operations: ['71-22=49'] Exploring Operation: 99-61=38, Resulting Numbers: [49, 38] Generated Node #3: [49, 38] from Operation: 99-61=38 Current State: 87:[49, 38], Operations: ['71-22=49', '99-61=38'] Exploring Operation: 49+38=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 52, 75, 74, 81 ]
28
[ "52+75=127", "74+81=155", "155-127=28" ]
Current State: 28:[52, 75, 74, 81], Operations: [] Exploring Operation: 52+75=127, Resulting Numbers: [74, 81, 127] Generated Node #2: [74, 81, 127] from Operation: 52+75=127 Current State: 28:[74, 81, 127], Operations: ['52+75=127'] Exploring Operation: 74+81=155, Resulting Numbers: [127, 155] Generated Node #3: [127, 155] from Operation: 74+81=155 Current State: 28:[127, 155], Operations: ['52+75=127', '74+81=155'] Exploring Operation: 155-127=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 80, 81, 78, 10 ]
87
[ "81-80=1", "78+10=88", "88-1=87" ]
Current State: 87:[80, 81, 78, 10], Operations: [] Exploring Operation: 81-80=1, Resulting Numbers: [78, 10, 1] Generated Node #2: [78, 10, 1] from Operation: 81-80=1 Current State: 87:[78, 10, 1], Operations: ['81-80=1'] Exploring Operation: 78+10=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 78+10=88 Current State: 87:[1, 88], Operations: ['81-80=1', '78+10=88'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 7, 65, 63, 39 ]
53
[ "65-63=2", "7*2=14", "39+14=53" ]
Current State: 53:[7, 65, 63, 39], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [7, 39, 2] Generated Node #2: [7, 39, 2] from Operation: 65-63=2 Current State: 53:[7, 39, 2], Operations: ['65-63=2'] Exploring Operation: 7*2=14, Resulting Numbers: [39, 14] Generated Node #3: [39, 14] from Operation: 7*2=14 Current State: 53:[39, 14], Operations: ['65-63=2', '7*2=14'] Exploring Operation: 39+14=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 5, 15, 70, 43 ]
24
[ "15/5=3", "70-43=27", "27-3=24" ]
Current State: 24:[5, 15, 70, 43], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [70, 43, 3] Generated Node #2: [70, 43, 3] from Operation: 15/5=3 Current State: 24:[70, 43, 3], Operations: ['15/5=3'] Exploring Operation: 70-43=27, Resulting Numbers: [3, 27] Generated Node #3: [3, 27] from Operation: 70-43=27 Current State: 24:[3, 27], Operations: ['15/5=3', '70-43=27'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 60, 75, 14, 66 ]
83
[ "60+75=135", "66-14=52", "135-52=83" ]
Current State: 83:[60, 75, 14, 66], Operations: [] Exploring Operation: 60+75=135, Resulting Numbers: [14, 66, 135] Generated Node #2: [14, 66, 135] from Operation: 60+75=135 Current State: 83:[14, 66, 135], Operations: ['60+75=135'] Exploring Operation: 66-14=52, Resulting Numbers: [135, 52] Generated Node #3: [135, 52] from Operation: 66-14=52 Current State: 83:[135, 52], Operations: ['60+75=135', '66-14=52'] Exploring Operation: 135-52=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 21, 92, 90, 7 ]
35
[ "21*7=147", "92+90=182", "182-147=35" ]
Current State: 35:[21, 92, 90, 7], Operations: [] Exploring Operation: 21*7=147, Resulting Numbers: [92, 90, 147] Generated Node #2: [92, 90, 147] from Operation: 21*7=147 Current State: 35:[92, 90, 147], Operations: ['21*7=147'] Exploring Operation: 92+90=182, Resulting Numbers: [147, 182] Generated Node #3: [147, 182] from Operation: 92+90=182 Current State: 35:[147, 182], Operations: ['21*7=147', '92+90=182'] Exploring Operation: 182-147=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 12, 15, 9, 55 ]
68
[ "12*9=108", "55-15=40", "108-40=68" ]
Current State: 68:[12, 15, 9, 55], Operations: [] Exploring Operation: 12*9=108, Resulting Numbers: [15, 55, 108] Generated Node #2: [15, 55, 108] from Operation: 12*9=108 Current State: 68:[15, 55, 108], Operations: ['12*9=108'] Exploring Operation: 55-15=40, Resulting Numbers: [108, 40] Generated Node #3: [108, 40] from Operation: 55-15=40 Current State: 68:[108, 40], Operations: ['12*9=108', '55-15=40'] Exploring Operation: 108-40=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 8, 65, 51, 2 ]
36
[ "65-51=14", "2*14=28", "8+28=36" ]
Current State: 36:[8, 65, 51, 2], Operations: [] Exploring Operation: 65-51=14, Resulting Numbers: [8, 2, 14] Generated Node #2: [8, 2, 14] from Operation: 65-51=14 Current State: 36:[8, 2, 14], Operations: ['65-51=14'] Exploring Operation: 2*14=28, Resulting Numbers: [8, 28] Generated Node #3: [8, 28] from Operation: 2*14=28 Current State: 36:[8, 28], Operations: ['65-51=14', '2*14=28'] Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 73, 35, 87 ]
23
[ "2+73=75", "87-35=52", "75-52=23" ]
Current State: 23:[2, 73, 35, 87], Operations: [] Exploring Operation: 2+73=75, Resulting Numbers: [35, 87, 75] Generated Node #2: [35, 87, 75] from Operation: 2+73=75 Current State: 23:[35, 87, 75], Operations: ['2+73=75'] Exploring Operation: 87-35=52, Resulting Numbers: [75, 52] Generated Node #3: [75, 52] from Operation: 87-35=52 Current State: 23:[75, 52], Operations: ['2+73=75', '87-35=52'] Exploring Operation: 75-52=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 63, 95, 57, 18 ]
33
[ "95*18=1710", "1710/57=30", "63-30=33" ]
Current State: 33:[63, 95, 57, 18], Operations: [] Exploring Operation: 95*18=1710, Resulting Numbers: [63, 57, 1710] Generated Node #2: [63, 57, 1710] from Operation: 95*18=1710 Current State: 33:[63, 57, 1710], Operations: ['95*18=1710'] Exploring Operation: 1710/57=30, Resulting Numbers: [63, 30] Generated Node #3: [63, 30] from Operation: 1710/57=30 Current State: 33:[63, 30], Operations: ['95*18=1710', '1710/57=30'] Exploring Operation: 63-30=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 82, 29, 94, 8 ]
12
[ "29+94=123", "8*123=984", "984/82=12" ]
Current State: 12:[82, 29, 94, 8], Operations: [] Exploring Operation: 29+94=123, Resulting Numbers: [82, 8, 123] Generated Node #2: [82, 8, 123] from Operation: 29+94=123 Current State: 12:[82, 8, 123], Operations: ['29+94=123'] Exploring Operation: 8*123=984, Resulting Numbers: [82, 984] Generated Node #3: [82, 984] from Operation: 8*123=984 Current State: 12:[82, 984], Operations: ['29+94=123', '8*123=984'] Exploring Operation: 984/82=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 26, 12, 86, 83 ]
90
[ "86-83=3", "26*3=78", "12+78=90" ]
Current State: 90:[26, 12, 86, 83], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [26, 12, 3] Generated Node #2: [26, 12, 3] from Operation: 86-83=3 Current State: 90:[26, 12, 3], Operations: ['86-83=3'] Exploring Operation: 26*3=78, Resulting Numbers: [12, 78] Generated Node #3: [12, 78] from Operation: 26*3=78 Current State: 90:[12, 78], Operations: ['86-83=3', '26*3=78'] Exploring Operation: 12+78=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 33, 26, 42, 30 ]
12
[ "33-30=3", "42/3=14", "26-14=12" ]
Current State: 12:[33, 26, 42, 30], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [26, 42, 3] Generated Node #2: [26, 42, 3] from Operation: 33-30=3 Current State: 12:[26, 42, 3], Operations: ['33-30=3'] Exploring Operation: 42/3=14, Resulting Numbers: [26, 14] Generated Node #3: [26, 14] from Operation: 42/3=14 Current State: 12:[26, 14], Operations: ['33-30=3', '42/3=14'] Exploring Operation: 26-14=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 51, 51, 29, 4 ]
71
[ "51+29=80", "80/4=20", "51+20=71" ]
Current State: 71:[51, 51, 29, 4], Operations: [] Exploring Operation: 51+29=80, Resulting Numbers: [4, 80] Generated Node #2: [4, 80] from Operation: 51+29=80 Current State: 71:[4, 80], Operations: ['51+29=80'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,71 equal: Goal Reached Exploring Operation: 51+20=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 12, 65, 38, 2 ]
89
[ "65-12=53", "38-2=36", "53+36=89" ]
Current State: 89:[12, 65, 38, 2], Operations: [] Exploring Operation: 65-12=53, Resulting Numbers: [38, 2, 53] Generated Node #2: [38, 2, 53] from Operation: 65-12=53 Current State: 89:[38, 2, 53], Operations: ['65-12=53'] Exploring Operation: 38-2=36, Resulting Numbers: [53, 36] Generated Node #3: [53, 36] from Operation: 38-2=36 Current State: 89:[53, 36], Operations: ['65-12=53', '38-2=36'] Exploring Operation: 53+36=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 87, 2, 37, 1 ]
11
[ "37+1=38", "2*38=76", "87-76=11" ]
Current State: 11:[87, 2, 37, 1], Operations: [] Exploring Operation: 37+1=38, Resulting Numbers: [87, 2, 38] Generated Node #2: [87, 2, 38] from Operation: 37+1=38 Current State: 11:[87, 2, 38], Operations: ['37+1=38'] Exploring Operation: 2*38=76, Resulting Numbers: [87, 76] Generated Node #3: [87, 76] from Operation: 2*38=76 Current State: 11:[87, 76], Operations: ['37+1=38', '2*38=76'] Exploring Operation: 87-76=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 77, 7, 78, 48 ]
59
[ "78+48=126", "126/7=18", "77-18=59" ]
Current State: 59:[77, 7, 78, 48], Operations: [] Exploring Operation: 78+48=126, Resulting Numbers: [77, 7, 126] Generated Node #2: [77, 7, 126] from Operation: 78+48=126 Current State: 59:[77, 7, 126], Operations: ['78+48=126'] Exploring Operation: 126/7=18, Resulting Numbers: [77, 18] Generated Node #3: [77, 18] from Operation: 126/7=18 Current State: 59:[77, 18], Operations: ['78+48=126', '126/7=18'] Exploring Operation: 77-18=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 92, 70, 93 ]
64
[ "7+92=99", "70+93=163", "163-99=64" ]
Current State: 64:[7, 92, 70, 93], Operations: [] Exploring Operation: 7+92=99, Resulting Numbers: [70, 93, 99] Generated Node #2: [70, 93, 99] from Operation: 7+92=99 Current State: 64:[70, 93, 99], Operations: ['7+92=99'] Exploring Operation: 70+93=163, Resulting Numbers: [99, 163] Generated Node #3: [99, 163] from Operation: 70+93=163 Current State: 64:[99, 163], Operations: ['7+92=99', '70+93=163'] Exploring Operation: 163-99=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 53, 5, 87, 84 ]
61
[ "53+5=58", "87-84=3", "58+3=61" ]
Current State: 61:[53, 5, 87, 84], Operations: [] Exploring Operation: 53+5=58, Resulting Numbers: [87, 84, 58] Generated Node #2: [87, 84, 58] from Operation: 53+5=58 Current State: 61:[87, 84, 58], Operations: ['53+5=58'] Exploring Operation: 87-84=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 87-84=3 Current State: 61:[58, 3], Operations: ['53+5=58', '87-84=3'] Exploring Operation: 58+3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 79, 77, 35, 3 ]
73
[ "79-77=2", "35*2=70", "3+70=73" ]
Current State: 73:[79, 77, 35, 3], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [35, 3, 2] Generated Node #2: [35, 3, 2] from Operation: 79-77=2 Current State: 73:[35, 3, 2], Operations: ['79-77=2'] Exploring Operation: 35*2=70, Resulting Numbers: [3, 70] Generated Node #3: [3, 70] from Operation: 35*2=70 Current State: 73:[3, 70], Operations: ['79-77=2', '35*2=70'] Exploring Operation: 3+70=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 27, 24, 94, 78 ]
13
[ "27-24=3", "94-78=16", "16-3=13" ]
Current State: 13:[27, 24, 94, 78], Operations: [] Exploring Operation: 27-24=3, Resulting Numbers: [94, 78, 3] Generated Node #2: [94, 78, 3] from Operation: 27-24=3 Current State: 13:[94, 78, 3], Operations: ['27-24=3'] Exploring Operation: 94-78=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 94-78=16 Current State: 13:[3, 16], Operations: ['27-24=3', '94-78=16'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 10, 69, 45, 55 ]
79
[ "45+55=100", "100/10=10", "69+10=79" ]
Current State: 79:[10, 69, 45, 55], Operations: [] Exploring Operation: 45+55=100, Resulting Numbers: [10, 69, 100] Generated Node #2: [10, 69, 100] from Operation: 45+55=100 Current State: 79:[10, 69, 100], Operations: ['45+55=100'] Exploring Operation: 100/10=10, Resulting Numbers: [69, 10] Generated Node #3: [69, 10] from Operation: 100/10=10 Current State: 79:[69, 10], Operations: ['45+55=100', '100/10=10'] Exploring Operation: 69+10=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 28, 4, 7, 94 ]
69
[ "28+4=32", "7+94=101", "101-32=69" ]
Current State: 69:[28, 4, 7, 94], Operations: [] Exploring Operation: 28+4=32, Resulting Numbers: [7, 94, 32] Generated Node #2: [7, 94, 32] from Operation: 28+4=32 Current State: 69:[7, 94, 32], Operations: ['28+4=32'] Exploring Operation: 7+94=101, Resulting Numbers: [32, 101] Generated Node #3: [32, 101] from Operation: 7+94=101 Current State: 69:[32, 101], Operations: ['28+4=32', '7+94=101'] Exploring Operation: 101-32=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 17, 52, 33, 32 ]
70
[ "17+52=69", "33-32=1", "69+1=70" ]
Current State: 70:[17, 52, 33, 32], Operations: [] Exploring Operation: 17+52=69, Resulting Numbers: [33, 32, 69] Generated Node #2: [33, 32, 69] from Operation: 17+52=69 Current State: 70:[33, 32, 69], Operations: ['17+52=69'] Exploring Operation: 33-32=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 33-32=1 Current State: 70:[69, 1], Operations: ['17+52=69', '33-32=1'] Exploring Operation: 69+1=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 30, 8, 87, 90 ]
80
[ "30*8=240", "90-87=3", "240/3=80" ]
Current State: 80:[30, 8, 87, 90], Operations: [] Exploring Operation: 30*8=240, Resulting Numbers: [87, 90, 240] Generated Node #2: [87, 90, 240] from Operation: 30*8=240 Current State: 80:[87, 90, 240], Operations: ['30*8=240'] Exploring Operation: 90-87=3, Resulting Numbers: [240, 3] Generated Node #3: [240, 3] from Operation: 90-87=3 Current State: 80:[240, 3], Operations: ['30*8=240', '90-87=3'] Exploring Operation: 240/3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 37, 26, 76, 26 ]
61
[ "37-26=11", "76-26=50", "11+50=61" ]
Current State: 61:[37, 26, 76, 26], Operations: [] Exploring Operation: 37-26=11, Resulting Numbers: [76, 11] Generated Node #2: [76, 11] from Operation: 37-26=11 Current State: 61:[76, 11], Operations: ['37-26=11'] Exploring Operation: 76-26=50, Resulting Numbers: [11, 50] Generated Node #3: [11, 50] from Operation: 76-26=50 Current State: 61:[11, 50], Operations: ['37-26=11', '76-26=50'] Exploring Operation: 11+50=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 20, 12, 3, 17 ]
31
[ "20*3=60", "12+17=29", "60-29=31" ]
Current State: 31:[20, 12, 3, 17], Operations: [] Exploring Operation: 20*3=60, Resulting Numbers: [12, 17, 60] Generated Node #2: [12, 17, 60] from Operation: 20*3=60 Current State: 31:[12, 17, 60], Operations: ['20*3=60'] Exploring Operation: 12+17=29, Resulting Numbers: [60, 29] Generated Node #3: [60, 29] from Operation: 12+17=29 Current State: 31:[60, 29], Operations: ['20*3=60', '12+17=29'] Exploring Operation: 60-29=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 10, 98, 68, 82 ]
42
[ "10+98=108", "68+82=150", "150-108=42" ]
Current State: 42:[10, 98, 68, 82], Operations: [] Exploring Operation: 10+98=108, Resulting Numbers: [68, 82, 108] Generated Node #2: [68, 82, 108] from Operation: 10+98=108 Current State: 42:[68, 82, 108], Operations: ['10+98=108'] Exploring Operation: 68+82=150, Resulting Numbers: [108, 150] Generated Node #3: [108, 150] from Operation: 68+82=150 Current State: 42:[108, 150], Operations: ['10+98=108', '68+82=150'] Exploring Operation: 150-108=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 27, 84, 47, 59 ]
94
[ "84-27=57", "59-57=2", "47*2=94" ]
Current State: 94:[27, 84, 47, 59], Operations: [] Exploring Operation: 84-27=57, Resulting Numbers: [47, 59, 57] Generated Node #2: [47, 59, 57] from Operation: 84-27=57 Current State: 94:[47, 59, 57], Operations: ['84-27=57'] Exploring Operation: 59-57=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 59-57=2 Current State: 94:[47, 2], Operations: ['84-27=57', '59-57=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 67, 77, 77, 74 ]
67
[ "77-77=0", "74*0=0", "67+0=67" ]
Current State: 67:[67, 77, 77, 74], Operations: [] Exploring Operation: 77-77=0, Resulting Numbers: [67, 74, 0] Generated Node #2: [67, 74, 0] from Operation: 77-77=0 Current State: 67:[67, 74, 0], Operations: ['77-77=0'] Exploring Operation: 74*0=0, Resulting Numbers: [67, 0] Generated Node #3: [67, 0] from Operation: 74*0=0 Current State: 67:[67, 0], Operations: ['77-77=0', '74*0=0'] Exploring Operation: 67+0=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 87, 46, 22, 69 ]
36
[ "87*46=4002", "4002/69=58", "58-22=36" ]
Current State: 36:[87, 46, 22, 69], Operations: [] Exploring Operation: 87*46=4002, Resulting Numbers: [22, 69, 4002] Generated Node #2: [22, 69, 4002] from Operation: 87*46=4002 Current State: 36:[22, 69, 4002], Operations: ['87*46=4002'] Exploring Operation: 4002/69=58, Resulting Numbers: [22, 58] Generated Node #3: [22, 58] from Operation: 4002/69=58 Current State: 36:[22, 58], Operations: ['87*46=4002', '4002/69=58'] Exploring Operation: 58-22=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 23, 54, 29, 2 ]
89
[ "54-23=31", "29*2=58", "31+58=89" ]
Current State: 89:[23, 54, 29, 2], Operations: [] Exploring Operation: 54-23=31, Resulting Numbers: [29, 2, 31] Generated Node #2: [29, 2, 31] from Operation: 54-23=31 Current State: 89:[29, 2, 31], Operations: ['54-23=31'] Exploring Operation: 29*2=58, Resulting Numbers: [31, 58] Generated Node #3: [31, 58] from Operation: 29*2=58 Current State: 89:[31, 58], Operations: ['54-23=31', '29*2=58'] Exploring Operation: 31+58=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 13, 43, 94, 64 ]
86
[ "13+43=56", "94-64=30", "56+30=86" ]
Current State: 86:[13, 43, 94, 64], Operations: [] Exploring Operation: 13+43=56, Resulting Numbers: [94, 64, 56] Generated Node #2: [94, 64, 56] from Operation: 13+43=56 Current State: 86:[94, 64, 56], Operations: ['13+43=56'] Exploring Operation: 94-64=30, Resulting Numbers: [56, 30] Generated Node #3: [56, 30] from Operation: 94-64=30 Current State: 86:[56, 30], Operations: ['13+43=56', '94-64=30'] Exploring Operation: 56+30=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 87, 30, 48, 18 ]
86
[ "48-30=18", "18/18=1", "87-1=86" ]
Current State: 86:[87, 30, 48, 18], Operations: [] Exploring Operation: 48-30=18, Resulting Numbers: [87, 18, 18] Generated Node #2: [87, 18, 18] from Operation: 48-30=18 Current State: 86:[87, 18, 18], Operations: ['48-30=18'] Exploring Operation: 18/18=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 18/18=1 Current State: 86:[87, 1], Operations: ['48-30=18', '18/18=1'] Exploring Operation: 87-1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 17, 2, 28, 21 ]
43
[ "28-17=11", "2*11=22", "21+22=43" ]
Current State: 43:[17, 2, 28, 21], Operations: [] Exploring Operation: 28-17=11, Resulting Numbers: [2, 21, 11] Generated Node #2: [2, 21, 11] from Operation: 28-17=11 Current State: 43:[2, 21, 11], Operations: ['28-17=11'] Exploring Operation: 2*11=22, Resulting Numbers: [21, 22] Generated Node #3: [21, 22] from Operation: 2*11=22 Current State: 43:[21, 22], Operations: ['28-17=11', '2*11=22'] Exploring Operation: 21+22=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 42, 5, 5, 10 ]
39
[ "42-5=37", "10/5=2", "37+2=39" ]
Current State: 39:[42, 5, 5, 10], Operations: [] Exploring Operation: 42-5=37, Resulting Numbers: [10, 37] Generated Node #2: [10, 37] from Operation: 42-5=37 Current State: 39:[10, 37], Operations: ['42-5=37'] Exploring Operation: 10/5=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 10/5=2 Current State: 39:[37, 2], Operations: ['42-5=37', '10/5=2'] Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 70, 72, 9, 92 ]
99
[ "72-70=2", "9+92=101", "101-2=99" ]
Current State: 99:[70, 72, 9, 92], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [9, 92, 2] Generated Node #2: [9, 92, 2] from Operation: 72-70=2 Current State: 99:[9, 92, 2], Operations: ['72-70=2'] Exploring Operation: 9+92=101, Resulting Numbers: [2, 101] Generated Node #3: [2, 101] from Operation: 9+92=101 Current State: 99:[2, 101], Operations: ['72-70=2', '9+92=101'] Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 7, 72, 5, 59 ]
95
[ "7-5=2", "72/2=36", "59+36=95" ]
Current State: 95:[7, 72, 5, 59], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [72, 59, 2] Generated Node #2: [72, 59, 2] from Operation: 7-5=2 Current State: 95:[72, 59, 2], Operations: ['7-5=2'] Exploring Operation: 72/2=36, Resulting Numbers: [59, 36] Generated Node #3: [59, 36] from Operation: 72/2=36 Current State: 95:[59, 36], Operations: ['7-5=2', '72/2=36'] Exploring Operation: 59+36=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 15, 77, 74 ]
25
[ "5*15=75", "77-74=3", "75/3=25" ]
Current State: 25:[5, 15, 77, 74], Operations: [] Exploring Operation: 5*15=75, Resulting Numbers: [77, 74, 75] Generated Node #2: [77, 74, 75] from Operation: 5*15=75 Current State: 25:[77, 74, 75], Operations: ['5*15=75'] Exploring Operation: 77-74=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 77-74=3 Current State: 25:[75, 3], Operations: ['5*15=75', '77-74=3'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 86, 34, 58, 6 ]
68
[ "86+34=120", "58-6=52", "120-52=68" ]
Current State: 68:[86, 34, 58, 6], Operations: [] Exploring Operation: 86+34=120, Resulting Numbers: [58, 6, 120] Generated Node #2: [58, 6, 120] from Operation: 86+34=120 Current State: 68:[58, 6, 120], Operations: ['86+34=120'] Exploring Operation: 58-6=52, Resulting Numbers: [120, 52] Generated Node #3: [120, 52] from Operation: 58-6=52 Current State: 68:[120, 52], Operations: ['86+34=120', '58-6=52'] Exploring Operation: 120-52=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 19, 22, 91, 3 ]
85
[ "22-19=3", "91-3=88", "88-3=85" ]
Current State: 85:[19, 22, 91, 3], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [91, 3, 3] Generated Node #2: [91, 3, 3] from Operation: 22-19=3 Current State: 85:[91, 3, 3], Operations: ['22-19=3'] Exploring Operation: 91-3=88, Resulting Numbers: [88] 88,85 equal: Goal Reached Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 48, 88, 37, 85 ]
77
[ "48-37=11", "88/11=8", "85-8=77" ]
Current State: 77:[48, 88, 37, 85], Operations: [] Exploring Operation: 48-37=11, Resulting Numbers: [88, 85, 11] Generated Node #2: [88, 85, 11] from Operation: 48-37=11 Current State: 77:[88, 85, 11], Operations: ['48-37=11'] Exploring Operation: 88/11=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 88/11=8 Current State: 77:[85, 8], Operations: ['48-37=11', '88/11=8'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 28, 45, 59, 47 ]
33
[ "28+45=73", "59+47=106", "106-73=33" ]
Current State: 33:[28, 45, 59, 47], Operations: [] Exploring Operation: 28+45=73, Resulting Numbers: [59, 47, 73] Generated Node #2: [59, 47, 73] from Operation: 28+45=73 Current State: 33:[59, 47, 73], Operations: ['28+45=73'] Exploring Operation: 59+47=106, Resulting Numbers: [73, 106] Generated Node #3: [73, 106] from Operation: 59+47=106 Current State: 33:[73, 106], Operations: ['28+45=73', '59+47=106'] Exploring Operation: 106-73=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 56, 9, 2, 38 ]
87
[ "56-9=47", "2+38=40", "47+40=87" ]
Current State: 87:[56, 9, 2, 38], Operations: [] Exploring Operation: 56-9=47, Resulting Numbers: [2, 38, 47] Generated Node #2: [2, 38, 47] from Operation: 56-9=47 Current State: 87:[2, 38, 47], Operations: ['56-9=47'] Exploring Operation: 2+38=40, Resulting Numbers: [47, 40] Generated Node #3: [47, 40] from Operation: 2+38=40 Current State: 87:[47, 40], Operations: ['56-9=47', '2+38=40'] Exploring Operation: 47+40=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 5, 20, 39, 95 ]
60
[ "20/5=4", "95-39=56", "4+56=60" ]
Current State: 60:[5, 20, 39, 95], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [39, 95, 4] Generated Node #2: [39, 95, 4] from Operation: 20/5=4 Current State: 60:[39, 95, 4], Operations: ['20/5=4'] Exploring Operation: 95-39=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 95-39=56 Current State: 60:[4, 56], Operations: ['20/5=4', '95-39=56'] Exploring Operation: 4+56=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 68, 42, 22, 35 ]
31
[ "68-42=26", "22+35=57", "57-26=31" ]
Current State: 31:[68, 42, 22, 35], Operations: [] Exploring Operation: 68-42=26, Resulting Numbers: [22, 35, 26] Generated Node #2: [22, 35, 26] from Operation: 68-42=26 Current State: 31:[22, 35, 26], Operations: ['68-42=26'] Exploring Operation: 22+35=57, Resulting Numbers: [26, 57] Generated Node #3: [26, 57] from Operation: 22+35=57 Current State: 31:[26, 57], Operations: ['68-42=26', '22+35=57'] Exploring Operation: 57-26=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 9, 1, 71, 9 ]
73
[ "9/9=1", "1+71=72", "1+72=73" ]
Current State: 73:[9, 1, 71, 9], Operations: [] Exploring Operation: 9/9=1, Resulting Numbers: [1, 71, 1] Generated Node #2: [1, 71, 1] from Operation: 9/9=1 Current State: 73:[1, 71, 1], Operations: ['9/9=1'] Exploring Operation: 1+71=72, Resulting Numbers: [72] 72,73 equal: Goal Reached Exploring Operation: 1+72=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 11, 62, 9, 45 ]
87
[ "62-11=51", "45-9=36", "51+36=87" ]
Current State: 87:[11, 62, 9, 45], Operations: [] Exploring Operation: 62-11=51, Resulting Numbers: [9, 45, 51] Generated Node #2: [9, 45, 51] from Operation: 62-11=51 Current State: 87:[9, 45, 51], Operations: ['62-11=51'] Exploring Operation: 45-9=36, Resulting Numbers: [51, 36] Generated Node #3: [51, 36] from Operation: 45-9=36 Current State: 87:[51, 36], Operations: ['62-11=51', '45-9=36'] Exploring Operation: 51+36=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 45, 61, 49, 32 ]
65
[ "61-45=16", "49+32=81", "81-16=65" ]
Current State: 65:[45, 61, 49, 32], Operations: [] Exploring Operation: 61-45=16, Resulting Numbers: [49, 32, 16] Generated Node #2: [49, 32, 16] from Operation: 61-45=16 Current State: 65:[49, 32, 16], Operations: ['61-45=16'] Exploring Operation: 49+32=81, Resulting Numbers: [16, 81] Generated Node #3: [16, 81] from Operation: 49+32=81 Current State: 65:[16, 81], Operations: ['61-45=16', '49+32=81'] Exploring Operation: 81-16=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 52, 4, 69, 21 ]
64
[ "69-21=48", "48/4=12", "52+12=64" ]
Current State: 64:[52, 4, 69, 21], Operations: [] Exploring Operation: 69-21=48, Resulting Numbers: [52, 4, 48] Generated Node #2: [52, 4, 48] from Operation: 69-21=48 Current State: 64:[52, 4, 48], Operations: ['69-21=48'] Exploring Operation: 48/4=12, Resulting Numbers: [52, 12] Generated Node #3: [52, 12] from Operation: 48/4=12 Current State: 64:[52, 12], Operations: ['69-21=48', '48/4=12'] Exploring Operation: 52+12=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 78, 28, 84, 53 ]
81
[ "78-28=50", "84-53=31", "50+31=81" ]
Current State: 81:[78, 28, 84, 53], Operations: [] Exploring Operation: 78-28=50, Resulting Numbers: [84, 53, 50] Generated Node #2: [84, 53, 50] from Operation: 78-28=50 Current State: 81:[84, 53, 50], Operations: ['78-28=50'] Exploring Operation: 84-53=31, Resulting Numbers: [50, 31] Generated Node #3: [50, 31] from Operation: 84-53=31 Current State: 81:[50, 31], Operations: ['78-28=50', '84-53=31'] Exploring Operation: 50+31=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 21, 80, 52, 93 ]
77
[ "52-21=31", "93/31=3", "80-3=77" ]
Current State: 77:[21, 80, 52, 93], Operations: [] Exploring Operation: 52-21=31, Resulting Numbers: [80, 93, 31] Generated Node #2: [80, 93, 31] from Operation: 52-21=31 Current State: 77:[80, 93, 31], Operations: ['52-21=31'] Exploring Operation: 93/31=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 93/31=3 Current State: 77:[80, 3], Operations: ['52-21=31', '93/31=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 61, 10, 94, 4 ]
92
[ "61+10=71", "94-71=23", "4*23=92" ]
Current State: 92:[61, 10, 94, 4], Operations: [] Exploring Operation: 61+10=71, Resulting Numbers: [94, 4, 71] Generated Node #2: [94, 4, 71] from Operation: 61+10=71 Current State: 92:[94, 4, 71], Operations: ['61+10=71'] Exploring Operation: 94-71=23, Resulting Numbers: [4, 23] Generated Node #3: [4, 23] from Operation: 94-71=23 Current State: 92:[4, 23], Operations: ['61+10=71', '94-71=23'] Exploring Operation: 4*23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 84, 10, 6, 14 ]
28
[ "10-6=4", "14*4=56", "84-56=28" ]
Current State: 28:[84, 10, 6, 14], Operations: [] Exploring Operation: 10-6=4, Resulting Numbers: [84, 14, 4] Generated Node #2: [84, 14, 4] from Operation: 10-6=4 Current State: 28:[84, 14, 4], Operations: ['10-6=4'] Exploring Operation: 14*4=56, Resulting Numbers: [84, 56] Generated Node #3: [84, 56] from Operation: 14*4=56 Current State: 28:[84, 56], Operations: ['10-6=4', '14*4=56'] Exploring Operation: 84-56=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 14, 63, 68, 21 ]
74
[ "63+21=84", "84/14=6", "68+6=74" ]
Current State: 74:[14, 63, 68, 21], Operations: [] Exploring Operation: 63+21=84, Resulting Numbers: [14, 68, 84] Generated Node #2: [14, 68, 84] from Operation: 63+21=84 Current State: 74:[14, 68, 84], Operations: ['63+21=84'] Exploring Operation: 84/14=6, Resulting Numbers: [68, 6] Generated Node #3: [68, 6] from Operation: 84/14=6 Current State: 74:[68, 6], Operations: ['63+21=84', '84/14=6'] Exploring Operation: 68+6=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 16, 60, 54, 72 ]
29
[ "60*54=3240", "3240/72=45", "45-16=29" ]
Current State: 29:[16, 60, 54, 72], Operations: [] Exploring Operation: 60*54=3240, Resulting Numbers: [16, 72, 3240] Generated Node #2: [16, 72, 3240] from Operation: 60*54=3240 Current State: 29:[16, 72, 3240], Operations: ['60*54=3240'] Exploring Operation: 3240/72=45, Resulting Numbers: [16, 45] Generated Node #3: [16, 45] from Operation: 3240/72=45 Current State: 29:[16, 45], Operations: ['60*54=3240', '3240/72=45'] Exploring Operation: 45-16=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 48, 41, 25, 52 ]
62
[ "48+41=89", "52-25=27", "89-27=62" ]
Current State: 62:[48, 41, 25, 52], Operations: [] Exploring Operation: 48+41=89, Resulting Numbers: [25, 52, 89] Generated Node #2: [25, 52, 89] from Operation: 48+41=89 Current State: 62:[25, 52, 89], Operations: ['48+41=89'] Exploring Operation: 52-25=27, Resulting Numbers: [89, 27] Generated Node #3: [89, 27] from Operation: 52-25=27 Current State: 62:[89, 27], Operations: ['48+41=89', '52-25=27'] Exploring Operation: 89-27=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 62, 50, 88, 25 ]
22
[ "62+88=150", "150/50=3", "25-3=22" ]
Current State: 22:[62, 50, 88, 25], Operations: [] Exploring Operation: 62+88=150, Resulting Numbers: [50, 25, 150] Generated Node #2: [50, 25, 150] from Operation: 62+88=150 Current State: 22:[50, 25, 150], Operations: ['62+88=150'] Exploring Operation: 150/50=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 150/50=3 Current State: 22:[25, 3], Operations: ['62+88=150', '150/50=3'] Exploring Operation: 25-3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 29, 32, 3, 49 ]
55
[ "32-29=3", "3+49=52", "3+52=55" ]
Current State: 55:[29, 32, 3, 49], Operations: [] Exploring Operation: 32-29=3, Resulting Numbers: [3, 49, 3] Generated Node #2: [3, 49, 3] from Operation: 32-29=3 Current State: 55:[3, 49, 3], Operations: ['32-29=3'] Exploring Operation: 3+49=52, Resulting Numbers: [52] 52,55 equal: Goal Reached Exploring Operation: 3+52=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 96, 26, 38, 5 ]
17
[ "96*5=480", "480-38=442", "442/26=17" ]
Current State: 17:[96, 26, 38, 5], Operations: [] Exploring Operation: 96*5=480, Resulting Numbers: [26, 38, 480] Generated Node #2: [26, 38, 480] from Operation: 96*5=480 Current State: 17:[26, 38, 480], Operations: ['96*5=480'] Exploring Operation: 480-38=442, Resulting Numbers: [26, 442] Generated Node #3: [26, 442] from Operation: 480-38=442 Current State: 17:[26, 442], Operations: ['96*5=480', '480-38=442'] Exploring Operation: 442/26=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 26, 80, 9, 78 ]
83
[ "26*9=234", "234/78=3", "80+3=83" ]
Current State: 83:[26, 80, 9, 78], Operations: [] Exploring Operation: 26*9=234, Resulting Numbers: [80, 78, 234] Generated Node #2: [80, 78, 234] from Operation: 26*9=234 Current State: 83:[80, 78, 234], Operations: ['26*9=234'] Exploring Operation: 234/78=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 234/78=3 Current State: 83:[80, 3], Operations: ['26*9=234', '234/78=3'] Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 13, 16, 12, 92 ]
82
[ "12*92=1104", "1104/16=69", "13+69=82" ]
Current State: 82:[13, 16, 12, 92], Operations: [] Exploring Operation: 12*92=1104, Resulting Numbers: [13, 16, 1104] Generated Node #2: [13, 16, 1104] from Operation: 12*92=1104 Current State: 82:[13, 16, 1104], Operations: ['12*92=1104'] Exploring Operation: 1104/16=69, Resulting Numbers: [13, 69] Generated Node #3: [13, 69] from Operation: 1104/16=69 Current State: 82:[13, 69], Operations: ['12*92=1104', '1104/16=69'] Exploring Operation: 13+69=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 62, 2, 94, 48 ]
66
[ "62-48=14", "2*14=28", "94-28=66" ]
Current State: 66:[62, 2, 94, 48], Operations: [] Exploring Operation: 62-48=14, Resulting Numbers: [2, 94, 14] Generated Node #2: [2, 94, 14] from Operation: 62-48=14 Current State: 66:[2, 94, 14], Operations: ['62-48=14'] Exploring Operation: 2*14=28, Resulting Numbers: [94, 28] Generated Node #3: [94, 28] from Operation: 2*14=28 Current State: 66:[94, 28], Operations: ['62-48=14', '2*14=28'] Exploring Operation: 94-28=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 36, 89, 76, 25 ]
71
[ "36+89=125", "125/25=5", "76-5=71" ]
Current State: 71:[36, 89, 76, 25], Operations: [] Exploring Operation: 36+89=125, Resulting Numbers: [76, 25, 125] Generated Node #2: [76, 25, 125] from Operation: 36+89=125 Current State: 71:[76, 25, 125], Operations: ['36+89=125'] Exploring Operation: 125/25=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 125/25=5 Current State: 71:[76, 5], Operations: ['36+89=125', '125/25=5'] Exploring Operation: 76-5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 52, 82, 78, 14 ]
70
[ "52+82=134", "78-14=64", "134-64=70" ]
Current State: 70:[52, 82, 78, 14], Operations: [] Exploring Operation: 52+82=134, Resulting Numbers: [78, 14, 134] Generated Node #2: [78, 14, 134] from Operation: 52+82=134 Current State: 70:[78, 14, 134], Operations: ['52+82=134'] Exploring Operation: 78-14=64, Resulting Numbers: [134, 64] Generated Node #3: [134, 64] from Operation: 78-14=64 Current State: 70:[134, 64], Operations: ['52+82=134', '78-14=64'] Exploring Operation: 134-64=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 85, 33, 10, 19 ]
38
[ "85+10=95", "95/19=5", "33+5=38" ]
Current State: 38:[85, 33, 10, 19], Operations: [] Exploring Operation: 85+10=95, Resulting Numbers: [33, 19, 95] Generated Node #2: [33, 19, 95] from Operation: 85+10=95 Current State: 38:[33, 19, 95], Operations: ['85+10=95'] Exploring Operation: 95/19=5, Resulting Numbers: [33, 5] Generated Node #3: [33, 5] from Operation: 95/19=5 Current State: 38:[33, 5], Operations: ['85+10=95', '95/19=5'] Exploring Operation: 33+5=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 30, 14, 77 ]
55
[ "30/3=10", "77*10=770", "770/14=55" ]
Current State: 55:[3, 30, 14, 77], Operations: [] Exploring Operation: 30/3=10, Resulting Numbers: [14, 77, 10] Generated Node #2: [14, 77, 10] from Operation: 30/3=10 Current State: 55:[14, 77, 10], Operations: ['30/3=10'] Exploring Operation: 77*10=770, Resulting Numbers: [14, 770] Generated Node #3: [14, 770] from Operation: 77*10=770 Current State: 55:[14, 770], Operations: ['30/3=10', '77*10=770'] Exploring Operation: 770/14=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 27, 6, 14, 65 ]
58
[ "27-6=21", "14+65=79", "79-21=58" ]
Current State: 58:[27, 6, 14, 65], Operations: [] Exploring Operation: 27-6=21, Resulting Numbers: [14, 65, 21] Generated Node #2: [14, 65, 21] from Operation: 27-6=21 Current State: 58:[14, 65, 21], Operations: ['27-6=21'] Exploring Operation: 14+65=79, Resulting Numbers: [21, 79] Generated Node #3: [21, 79] from Operation: 14+65=79 Current State: 58:[21, 79], Operations: ['27-6=21', '14+65=79'] Exploring Operation: 79-21=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 46, 56, 21, 14 ]
23
[ "46*21=966", "56-14=42", "966/42=23" ]
Current State: 23:[46, 56, 21, 14], Operations: [] Exploring Operation: 46*21=966, Resulting Numbers: [56, 14, 966] Generated Node #2: [56, 14, 966] from Operation: 46*21=966 Current State: 23:[56, 14, 966], Operations: ['46*21=966'] Exploring Operation: 56-14=42, Resulting Numbers: [966, 42] Generated Node #3: [966, 42] from Operation: 56-14=42 Current State: 23:[966, 42], Operations: ['46*21=966', '56-14=42'] Exploring Operation: 966/42=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 75, 41, 50, 7 ]
51
[ "41-7=34", "75*34=2550", "2550/50=51" ]
Current State: 51:[75, 41, 50, 7], Operations: [] Exploring Operation: 41-7=34, Resulting Numbers: [75, 50, 34] Generated Node #2: [75, 50, 34] from Operation: 41-7=34 Current State: 51:[75, 50, 34], Operations: ['41-7=34'] Exploring Operation: 75*34=2550, Resulting Numbers: [50, 2550] Generated Node #3: [50, 2550] from Operation: 75*34=2550 Current State: 51:[50, 2550], Operations: ['41-7=34', '75*34=2550'] Exploring Operation: 2550/50=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 14, 2, 37, 33 ]
12
[ "14+2=16", "37-33=4", "16-4=12" ]
Current State: 12:[14, 2, 37, 33], Operations: [] Exploring Operation: 14+2=16, Resulting Numbers: [37, 33, 16] Generated Node #2: [37, 33, 16] from Operation: 14+2=16 Current State: 12:[37, 33, 16], Operations: ['14+2=16'] Exploring Operation: 37-33=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 37-33=4 Current State: 12:[16, 4], Operations: ['14+2=16', '37-33=4'] Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 31, 65, 43, 27 ]
26
[ "31+65=96", "43+27=70", "96-70=26" ]
Current State: 26:[31, 65, 43, 27], Operations: [] Exploring Operation: 31+65=96, Resulting Numbers: [43, 27, 96] Generated Node #2: [43, 27, 96] from Operation: 31+65=96 Current State: 26:[43, 27, 96], Operations: ['31+65=96'] Exploring Operation: 43+27=70, Resulting Numbers: [96, 70] Generated Node #3: [96, 70] from Operation: 43+27=70 Current State: 26:[96, 70], Operations: ['31+65=96', '43+27=70'] Exploring Operation: 96-70=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 40, 85, 92, 82 ]
35
[ "85-40=45", "92-82=10", "45-10=35" ]
Current State: 35:[40, 85, 92, 82], Operations: [] Exploring Operation: 85-40=45, Resulting Numbers: [92, 82, 45] Generated Node #2: [92, 82, 45] from Operation: 85-40=45 Current State: 35:[92, 82, 45], Operations: ['85-40=45'] Exploring Operation: 92-82=10, Resulting Numbers: [45, 10] Generated Node #3: [45, 10] from Operation: 92-82=10 Current State: 35:[45, 10], Operations: ['85-40=45', '92-82=10'] Exploring Operation: 45-10=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 54, 83, 45, 51 ]
35
[ "83-54=29", "51-45=6", "29+6=35" ]
Current State: 35:[54, 83, 45, 51], Operations: [] Exploring Operation: 83-54=29, Resulting Numbers: [45, 51, 29] Generated Node #2: [45, 51, 29] from Operation: 83-54=29 Current State: 35:[45, 51, 29], Operations: ['83-54=29'] Exploring Operation: 51-45=6, Resulting Numbers: [29, 6] Generated Node #3: [29, 6] from Operation: 51-45=6 Current State: 35:[29, 6], Operations: ['83-54=29', '51-45=6'] Exploring Operation: 29+6=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 2, 75, 83, 7 ]
58
[ "83-75=8", "7*8=56", "2+56=58" ]
Current State: 58:[2, 75, 83, 7], Operations: [] Exploring Operation: 83-75=8, Resulting Numbers: [2, 7, 8] Generated Node #2: [2, 7, 8] from Operation: 83-75=8 Current State: 58:[2, 7, 8], Operations: ['83-75=8'] Exploring Operation: 7*8=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 7*8=56 Current State: 58:[2, 56], Operations: ['83-75=8', '7*8=56'] Exploring Operation: 2+56=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 60, 56, 2, 72 ]
74
[ "60-56=4", "72-2=70", "4+70=74" ]
Current State: 74:[60, 56, 2, 72], Operations: [] Exploring Operation: 60-56=4, Resulting Numbers: [2, 72, 4] Generated Node #2: [2, 72, 4] from Operation: 60-56=4 Current State: 74:[2, 72, 4], Operations: ['60-56=4'] Exploring Operation: 72-2=70, Resulting Numbers: [4, 70] Generated Node #3: [4, 70] from Operation: 72-2=70 Current State: 74:[4, 70], Operations: ['60-56=4', '72-2=70'] Exploring Operation: 4+70=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 30, 95, 58, 53 ]
46
[ "95-30=65", "58+53=111", "111-65=46" ]
Current State: 46:[30, 95, 58, 53], Operations: [] Exploring Operation: 95-30=65, Resulting Numbers: [58, 53, 65] Generated Node #2: [58, 53, 65] from Operation: 95-30=65 Current State: 46:[58, 53, 65], Operations: ['95-30=65'] Exploring Operation: 58+53=111, Resulting Numbers: [65, 111] Generated Node #3: [65, 111] from Operation: 58+53=111 Current State: 46:[65, 111], Operations: ['95-30=65', '58+53=111'] Exploring Operation: 111-65=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 1, 99, 33, 44 ]
48
[ "1+44=45", "99/33=3", "45+3=48" ]
Current State: 48:[1, 99, 33, 44], Operations: [] Exploring Operation: 1+44=45, Resulting Numbers: [99, 33, 45] Generated Node #2: [99, 33, 45] from Operation: 1+44=45 Current State: 48:[99, 33, 45], Operations: ['1+44=45'] Exploring Operation: 99/33=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 99/33=3 Current State: 48:[45, 3], Operations: ['1+44=45', '99/33=3'] Exploring Operation: 45+3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 75, 4, 62, 25 ]
48
[ "75-62=13", "25-13=12", "4*12=48" ]
Current State: 48:[75, 4, 62, 25], Operations: [] Exploring Operation: 75-62=13, Resulting Numbers: [4, 25, 13] Generated Node #2: [4, 25, 13] from Operation: 75-62=13 Current State: 48:[4, 25, 13], Operations: ['75-62=13'] Exploring Operation: 25-13=12, Resulting Numbers: [4, 12] Generated Node #3: [4, 12] from Operation: 25-13=12 Current State: 48:[4, 12], Operations: ['75-62=13', '25-13=12'] Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 23, 64, 6, 57 ]
19
[ "64-57=7", "6*7=42", "42-23=19" ]
Current State: 19:[23, 64, 6, 57], Operations: [] Exploring Operation: 64-57=7, Resulting Numbers: [23, 6, 7] Generated Node #2: [23, 6, 7] from Operation: 64-57=7 Current State: 19:[23, 6, 7], Operations: ['64-57=7'] Exploring Operation: 6*7=42, Resulting Numbers: [23, 42] Generated Node #3: [23, 42] from Operation: 6*7=42 Current State: 19:[23, 42], Operations: ['64-57=7', '6*7=42'] Exploring Operation: 42-23=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 34, 86, 5, 68 ]
47
[ "34+86=120", "5+68=73", "120-73=47" ]
Current State: 47:[34, 86, 5, 68], Operations: [] Exploring Operation: 34+86=120, Resulting Numbers: [5, 68, 120] Generated Node #2: [5, 68, 120] from Operation: 34+86=120 Current State: 47:[5, 68, 120], Operations: ['34+86=120'] Exploring Operation: 5+68=73, Resulting Numbers: [120, 73] Generated Node #3: [120, 73] from Operation: 5+68=73 Current State: 47:[120, 73], Operations: ['34+86=120', '5+68=73'] Exploring Operation: 120-73=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 21, 61, 66, 65 ]
40
[ "61-21=40", "66-65=1", "40*1=40" ]
Current State: 40:[21, 61, 66, 65], Operations: [] Exploring Operation: 61-21=40, Resulting Numbers: [66, 65, 40] Generated Node #2: [66, 65, 40] from Operation: 61-21=40 Current State: 40:[66, 65, 40], Operations: ['61-21=40'] Exploring Operation: 66-65=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 66-65=1 Current State: 40:[40, 1], Operations: ['61-21=40', '66-65=1'] Exploring Operation: 40*1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 68, 6, 72, 93 ]
48
[ "68-6=62", "72*62=4464", "4464/93=48" ]
Current State: 48:[68, 6, 72, 93], Operations: [] Exploring Operation: 68-6=62, Resulting Numbers: [72, 93, 62] Generated Node #2: [72, 93, 62] from Operation: 68-6=62 Current State: 48:[72, 93, 62], Operations: ['68-6=62'] Exploring Operation: 72*62=4464, Resulting Numbers: [93, 4464] Generated Node #3: [93, 4464] from Operation: 72*62=4464 Current State: 48:[93, 4464], Operations: ['68-6=62', '72*62=4464'] Exploring Operation: 4464/93=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 66, 26, 5, 9 ]
59
[ "26+9=35", "35/5=7", "66-7=59" ]
Current State: 59:[66, 26, 5, 9], Operations: [] Exploring Operation: 26+9=35, Resulting Numbers: [66, 5, 35] Generated Node #2: [66, 5, 35] from Operation: 26+9=35 Current State: 59:[66, 5, 35], Operations: ['26+9=35'] Exploring Operation: 35/5=7, Resulting Numbers: [66, 7] Generated Node #3: [66, 7] from Operation: 35/5=7 Current State: 59:[66, 7], Operations: ['26+9=35', '35/5=7'] Exploring Operation: 66-7=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 33, 27, 54, 40 ]
13
[ "54/27=2", "40/2=20", "33-20=13" ]
Current State: 13:[33, 27, 54, 40], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [33, 40, 2] Generated Node #2: [33, 40, 2] from Operation: 54/27=2 Current State: 13:[33, 40, 2], Operations: ['54/27=2'] Exploring Operation: 40/2=20, Resulting Numbers: [33, 20] Generated Node #3: [33, 20] from Operation: 40/2=20 Current State: 13:[33, 20], Operations: ['54/27=2', '40/2=20'] Exploring Operation: 33-20=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 14, 19, 57, 53 ]
77
[ "14+19=33", "57+53=110", "110-33=77" ]
Current State: 77:[14, 19, 57, 53], Operations: [] Exploring Operation: 14+19=33, Resulting Numbers: [57, 53, 33] Generated Node #2: [57, 53, 33] from Operation: 14+19=33 Current State: 77:[57, 53, 33], Operations: ['14+19=33'] Exploring Operation: 57+53=110, Resulting Numbers: [33, 110] Generated Node #3: [33, 110] from Operation: 57+53=110 Current State: 77:[33, 110], Operations: ['14+19=33', '57+53=110'] Exploring Operation: 110-33=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4