Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 12, 36, 15, 75 ]
87
[ "36/12=3", "15+75=90", "90-3=87" ]
Current State: 87:[12, 36, 15, 75], Operations: [] Exploring Operation: 36/12=3, Resulting Numbers: [15, 75, 3] Generated Node #2: [15, 75, 3] from Operation: 36/12=3 Current State: 87:[15, 75, 3], Operations: ['36/12=3'] Exploring Operation: 15+75=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 15+75=90 Current State: 87:[3, 90], Operations: ['36/12=3', '15+75=90'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 76, 33, 96, 24 ]
29
[ "76-33=43", "96-24=72", "72-43=29" ]
Current State: 29:[76, 33, 96, 24], Operations: [] Exploring Operation: 76-33=43, Resulting Numbers: [96, 24, 43] Generated Node #2: [96, 24, 43] from Operation: 76-33=43 Current State: 29:[96, 24, 43], Operations: ['76-33=43'] Exploring Operation: 96-24=72, Resulting Numbers: [43, 72] Generated Node #3: [43, 72] from Operation: 96-24=72 Current State: 29:[43, 72], Operations: ['76-33=43', '96-24=72'] Exploring Operation: 72-43=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 52, 39, 95, 58 ]
24
[ "52-39=13", "95-58=37", "37-13=24" ]
Current State: 24:[52, 39, 95, 58], Operations: [] Exploring Operation: 52-39=13, Resulting Numbers: [95, 58, 13] Generated Node #2: [95, 58, 13] from Operation: 52-39=13 Current State: 24:[95, 58, 13], Operations: ['52-39=13'] Exploring Operation: 95-58=37, Resulting Numbers: [13, 37] Generated Node #3: [13, 37] from Operation: 95-58=37 Current State: 24:[13, 37], Operations: ['52-39=13', '95-58=37'] Exploring Operation: 37-13=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 5, 83, 90, 73 ]
71
[ "5+83=88", "90-73=17", "88-17=71" ]
Current State: 71:[5, 83, 90, 73], Operations: [] Exploring Operation: 5+83=88, Resulting Numbers: [90, 73, 88] Generated Node #2: [90, 73, 88] from Operation: 5+83=88 Current State: 71:[90, 73, 88], Operations: ['5+83=88'] Exploring Operation: 90-73=17, Resulting Numbers: [88, 17] Generated Node #3: [88, 17] from Operation: 90-73=17 Current State: 71:[88, 17], Operations: ['5+83=88', '90-73=17'] Exploring Operation: 88-17=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 70, 10, 20, 5 ]
26
[ "10*20=200", "200-70=130", "130/5=26" ]
Current State: 26:[70, 10, 20, 5], Operations: [] Exploring Operation: 10*20=200, Resulting Numbers: [70, 5, 200] Generated Node #2: [70, 5, 200] from Operation: 10*20=200 Current State: 26:[70, 5, 200], Operations: ['10*20=200'] Exploring Operation: 200-70=130, Resulting Numbers: [5, 130] Generated Node #3: [5, 130] from Operation: 200-70=130 Current State: 26:[5, 130], Operations: ['10*20=200', '200-70=130'] Exploring Operation: 130/5=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 51, 54, 5, 53 ]
46
[ "51-5=46", "54-53=1", "46*1=46" ]
Current State: 46:[51, 54, 5, 53], Operations: [] Exploring Operation: 51-5=46, Resulting Numbers: [54, 53, 46] Generated Node #2: [54, 53, 46] from Operation: 51-5=46 Current State: 46:[54, 53, 46], Operations: ['51-5=46'] Exploring Operation: 54-53=1, Resulting Numbers: [46, 1] Generated Node #3: [46, 1] from Operation: 54-53=1 Current State: 46:[46, 1], Operations: ['51-5=46', '54-53=1'] Exploring Operation: 46*1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 40, 62, 50, 34 ]
90
[ "62*50=3100", "3100-40=3060", "3060/34=90" ]
Current State: 90:[40, 62, 50, 34], Operations: [] Exploring Operation: 62*50=3100, Resulting Numbers: [40, 34, 3100] Generated Node #2: [40, 34, 3100] from Operation: 62*50=3100 Current State: 90:[40, 34, 3100], Operations: ['62*50=3100'] Exploring Operation: 3100-40=3060, Resulting Numbers: [34, 3060] Generated Node #3: [34, 3060] from Operation: 3100-40=3060 Current State: 90:[34, 3060], Operations: ['62*50=3100', '3100-40=3060'] Exploring Operation: 3060/34=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 40, 76, 8, 11 ]
28
[ "40+76=116", "8*11=88", "116-88=28" ]
Current State: 28:[40, 76, 8, 11], Operations: [] Exploring Operation: 40+76=116, Resulting Numbers: [8, 11, 116] Generated Node #2: [8, 11, 116] from Operation: 40+76=116 Current State: 28:[8, 11, 116], Operations: ['40+76=116'] Exploring Operation: 8*11=88, Resulting Numbers: [116, 88] Generated Node #3: [116, 88] from Operation: 8*11=88 Current State: 28:[116, 88], Operations: ['40+76=116', '8*11=88'] Exploring Operation: 116-88=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 58, 26, 35, 2 ]
29
[ "58-26=32", "2*32=64", "64-35=29" ]
Current State: 29:[58, 26, 35, 2], Operations: [] Exploring Operation: 58-26=32, Resulting Numbers: [35, 2, 32] Generated Node #2: [35, 2, 32] from Operation: 58-26=32 Current State: 29:[35, 2, 32], Operations: ['58-26=32'] Exploring Operation: 2*32=64, Resulting Numbers: [35, 64] Generated Node #3: [35, 64] from Operation: 2*32=64 Current State: 29:[35, 64], Operations: ['58-26=32', '2*32=64'] Exploring Operation: 64-35=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 99, 86, 87, 63 ]
35
[ "99+86=185", "87+63=150", "185-150=35" ]
Current State: 35:[99, 86, 87, 63], Operations: [] Exploring Operation: 99+86=185, Resulting Numbers: [87, 63, 185] Generated Node #2: [87, 63, 185] from Operation: 99+86=185 Current State: 35:[87, 63, 185], Operations: ['99+86=185'] Exploring Operation: 87+63=150, Resulting Numbers: [185, 150] Generated Node #3: [185, 150] from Operation: 87+63=150 Current State: 35:[185, 150], Operations: ['99+86=185', '87+63=150'] Exploring Operation: 185-150=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 55, 30, 66, 18 ]
15
[ "55*18=990", "990/66=15", "30-15=15" ]
Current State: 15:[55, 30, 66, 18], Operations: [] Exploring Operation: 55*18=990, Resulting Numbers: [30, 66, 990] Generated Node #2: [30, 66, 990] from Operation: 55*18=990 Current State: 15:[30, 66, 990], Operations: ['55*18=990'] Exploring Operation: 990/66=15, Resulting Numbers: [30, 15] Generated Node #3: [30, 15] from Operation: 990/66=15 Current State: 15:[30, 15], Operations: ['55*18=990', '990/66=15'] Exploring Operation: 30-15=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 58, 64, 33 ]
32
[ "33-4=29", "58/29=2", "64/2=32" ]
Current State: 32:[4, 58, 64, 33], Operations: [] Exploring Operation: 33-4=29, Resulting Numbers: [58, 64, 29] Generated Node #2: [58, 64, 29] from Operation: 33-4=29 Current State: 32:[58, 64, 29], Operations: ['33-4=29'] Exploring Operation: 58/29=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 58/29=2 Current State: 32:[64, 2], Operations: ['33-4=29', '58/29=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 43, 8, 64, 45 ]
80
[ "43+45=88", "64/8=8", "88-8=80" ]
Current State: 80:[43, 8, 64, 45], Operations: [] Exploring Operation: 43+45=88, Resulting Numbers: [8, 64, 88] Generated Node #2: [8, 64, 88] from Operation: 43+45=88 Current State: 80:[8, 64, 88], Operations: ['43+45=88'] Exploring Operation: 64/8=8, Resulting Numbers: [88, 8] Generated Node #3: [88, 8] from Operation: 64/8=8 Current State: 80:[88, 8], Operations: ['43+45=88', '64/8=8'] Exploring Operation: 88-8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 42, 47, 40, 37 ]
61
[ "40-37=3", "42/3=14", "47+14=61" ]
Current State: 61:[42, 47, 40, 37], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [42, 47, 3] Generated Node #2: [42, 47, 3] from Operation: 40-37=3 Current State: 61:[42, 47, 3], Operations: ['40-37=3'] Exploring Operation: 42/3=14, Resulting Numbers: [47, 14] Generated Node #3: [47, 14] from Operation: 42/3=14 Current State: 61:[47, 14], Operations: ['40-37=3', '42/3=14'] Exploring Operation: 47+14=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 29, 30, 32, 24 ]
56
[ "30-29=1", "32+24=56", "1*56=56" ]
Current State: 56:[29, 30, 32, 24], Operations: [] Exploring Operation: 30-29=1, Resulting Numbers: [32, 24, 1] Generated Node #2: [32, 24, 1] from Operation: 30-29=1 Current State: 56:[32, 24, 1], Operations: ['30-29=1'] Exploring Operation: 32+24=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 32+24=56 Current State: 56:[1, 56], Operations: ['30-29=1', '32+24=56'] Exploring Operation: 1*56=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 91, 92, 57, 17 ]
74
[ "92-91=1", "57+17=74", "1*74=74" ]
Current State: 74:[91, 92, 57, 17], Operations: [] Exploring Operation: 92-91=1, Resulting Numbers: [57, 17, 1] Generated Node #2: [57, 17, 1] from Operation: 92-91=1 Current State: 74:[57, 17, 1], Operations: ['92-91=1'] Exploring Operation: 57+17=74, Resulting Numbers: [1, 74] Generated Node #3: [1, 74] from Operation: 57+17=74 Current State: 74:[1, 74], Operations: ['92-91=1', '57+17=74'] Exploring Operation: 1*74=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 67, 2, 37, 33 ]
13
[ "67+33=100", "100/2=50", "50-37=13" ]
Current State: 13:[67, 2, 37, 33], Operations: [] Exploring Operation: 67+33=100, Resulting Numbers: [2, 37, 100] Generated Node #2: [2, 37, 100] from Operation: 67+33=100 Current State: 13:[2, 37, 100], Operations: ['67+33=100'] Exploring Operation: 100/2=50, Resulting Numbers: [37, 50] Generated Node #3: [37, 50] from Operation: 100/2=50 Current State: 13:[37, 50], Operations: ['67+33=100', '100/2=50'] Exploring Operation: 50-37=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 61, 61, 15, 53 ]
53
[ "61-61=0", "15*0=0", "53+0=53" ]
Current State: 53:[61, 61, 15, 53], Operations: [] Exploring Operation: 61-61=0, Resulting Numbers: [15, 53, 0] Generated Node #2: [15, 53, 0] from Operation: 61-61=0 Current State: 53:[15, 53, 0], Operations: ['61-61=0'] Exploring Operation: 15*0=0, Resulting Numbers: [53, 0] Generated Node #3: [53, 0] from Operation: 15*0=0 Current State: 53:[53, 0], Operations: ['61-61=0', '15*0=0'] Exploring Operation: 53+0=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 36, 42, 49, 70 ]
46
[ "49-42=7", "70/7=10", "36+10=46" ]
Current State: 46:[36, 42, 49, 70], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [36, 70, 7] Generated Node #2: [36, 70, 7] from Operation: 49-42=7 Current State: 46:[36, 70, 7], Operations: ['49-42=7'] Exploring Operation: 70/7=10, Resulting Numbers: [36, 10] Generated Node #3: [36, 10] from Operation: 70/7=10 Current State: 46:[36, 10], Operations: ['49-42=7', '70/7=10'] Exploring Operation: 36+10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 33, 90, 28, 32 ]
70
[ "33-28=5", "32*5=160", "160-90=70" ]
Current State: 70:[33, 90, 28, 32], Operations: [] Exploring Operation: 33-28=5, Resulting Numbers: [90, 32, 5] Generated Node #2: [90, 32, 5] from Operation: 33-28=5 Current State: 70:[90, 32, 5], Operations: ['33-28=5'] Exploring Operation: 32*5=160, Resulting Numbers: [90, 160] Generated Node #3: [90, 160] from Operation: 32*5=160 Current State: 70:[90, 160], Operations: ['33-28=5', '32*5=160'] Exploring Operation: 160-90=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 19, 16, 50, 80 ]
56
[ "19+16=35", "80*35=2800", "2800/50=56" ]
Current State: 56:[19, 16, 50, 80], Operations: [] Exploring Operation: 19+16=35, Resulting Numbers: [50, 80, 35] Generated Node #2: [50, 80, 35] from Operation: 19+16=35 Current State: 56:[50, 80, 35], Operations: ['19+16=35'] Exploring Operation: 80*35=2800, Resulting Numbers: [50, 2800] Generated Node #3: [50, 2800] from Operation: 80*35=2800 Current State: 56:[50, 2800], Operations: ['19+16=35', '80*35=2800'] Exploring Operation: 2800/50=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 81, 45, 6, 66 ]
10
[ "81+45=126", "126-66=60", "60/6=10" ]
Current State: 10:[81, 45, 6, 66], Operations: [] Exploring Operation: 81+45=126, Resulting Numbers: [6, 66, 126] Generated Node #2: [6, 66, 126] from Operation: 81+45=126 Current State: 10:[6, 66, 126], Operations: ['81+45=126'] Exploring Operation: 126-66=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 126-66=60 Current State: 10:[6, 60], Operations: ['81+45=126', '126-66=60'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 44, 10, 57, 8 ]
50
[ "57-44=13", "13-8=5", "10*5=50" ]
Current State: 50:[44, 10, 57, 8], Operations: [] Exploring Operation: 57-44=13, Resulting Numbers: [10, 8, 13] Generated Node #2: [10, 8, 13] from Operation: 57-44=13 Current State: 50:[10, 8, 13], Operations: ['57-44=13'] Exploring Operation: 13-8=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 13-8=5 Current State: 50:[10, 5], Operations: ['57-44=13', '13-8=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 16, 37, 5, 26 ]
17
[ "16*5=80", "37+26=63", "80-63=17" ]
Current State: 17:[16, 37, 5, 26], Operations: [] Exploring Operation: 16*5=80, Resulting Numbers: [37, 26, 80] Generated Node #2: [37, 26, 80] from Operation: 16*5=80 Current State: 17:[37, 26, 80], Operations: ['16*5=80'] Exploring Operation: 37+26=63, Resulting Numbers: [80, 63] Generated Node #3: [80, 63] from Operation: 37+26=63 Current State: 17:[80, 63], Operations: ['16*5=80', '37+26=63'] Exploring Operation: 80-63=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 26, 98, 85, 40 ]
20
[ "98-85=13", "26/13=2", "40/2=20" ]
Current State: 20:[26, 98, 85, 40], Operations: [] Exploring Operation: 98-85=13, Resulting Numbers: [26, 40, 13] Generated Node #2: [26, 40, 13] from Operation: 98-85=13 Current State: 20:[26, 40, 13], Operations: ['98-85=13'] Exploring Operation: 26/13=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 26/13=2 Current State: 20:[40, 2], Operations: ['98-85=13', '26/13=2'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 46, 97, 5, 17 ]
19
[ "97-5=92", "92/46=2", "17+2=19" ]
Current State: 19:[46, 97, 5, 17], Operations: [] Exploring Operation: 97-5=92, Resulting Numbers: [46, 17, 92] Generated Node #2: [46, 17, 92] from Operation: 97-5=92 Current State: 19:[46, 17, 92], Operations: ['97-5=92'] Exploring Operation: 92/46=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 92/46=2 Current State: 19:[17, 2], Operations: ['97-5=92', '92/46=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 69, 71, 44, 5 ]
93
[ "71-69=2", "44*2=88", "5+88=93" ]
Current State: 93:[69, 71, 44, 5], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [44, 5, 2] Generated Node #2: [44, 5, 2] from Operation: 71-69=2 Current State: 93:[44, 5, 2], Operations: ['71-69=2'] Exploring Operation: 44*2=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 44*2=88 Current State: 93:[5, 88], Operations: ['71-69=2', '44*2=88'] Exploring Operation: 5+88=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 11, 28, 48, 10 ]
90
[ "11+28=39", "48-39=9", "10*9=90" ]
Current State: 90:[11, 28, 48, 10], Operations: [] Exploring Operation: 11+28=39, Resulting Numbers: [48, 10, 39] Generated Node #2: [48, 10, 39] from Operation: 11+28=39 Current State: 90:[48, 10, 39], Operations: ['11+28=39'] Exploring Operation: 48-39=9, Resulting Numbers: [10, 9] Generated Node #3: [10, 9] from Operation: 48-39=9 Current State: 90:[10, 9], Operations: ['11+28=39', '48-39=9'] Exploring Operation: 10*9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 72, 48, 64 ]
91
[ "72*64=4608", "4608/48=96", "96-5=91" ]
Current State: 91:[5, 72, 48, 64], Operations: [] Exploring Operation: 72*64=4608, Resulting Numbers: [5, 48, 4608] Generated Node #2: [5, 48, 4608] from Operation: 72*64=4608 Current State: 91:[5, 48, 4608], Operations: ['72*64=4608'] Exploring Operation: 4608/48=96, Resulting Numbers: [5, 96] Generated Node #3: [5, 96] from Operation: 4608/48=96 Current State: 91:[5, 96], Operations: ['72*64=4608', '4608/48=96'] Exploring Operation: 96-5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 61, 52, 56, 10 ]
56
[ "61-52=9", "10-9=1", "56*1=56" ]
Current State: 56:[61, 52, 56, 10], Operations: [] Exploring Operation: 61-52=9, Resulting Numbers: [56, 10, 9] Generated Node #2: [56, 10, 9] from Operation: 61-52=9 Current State: 56:[56, 10, 9], Operations: ['61-52=9'] Exploring Operation: 10-9=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 10-9=1 Current State: 56:[56, 1], Operations: ['61-52=9', '10-9=1'] Exploring Operation: 56*1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 42, 69, 42, 42 ]
68
[ "42*69=2898", "2898-42=2856", "2856/42=68" ]
Current State: 68:[42, 69, 42, 42], Operations: [] Exploring Operation: 42*69=2898, Resulting Numbers: [2898] 2898,68 equal: Goal Reached Exploring Operation: 2898-42=2856, Resulting Numbers: [2856] 2856,68 equal: Goal Reached Exploring Operation: 2856/42=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 66, 62, 68, 35 ]
18
[ "66-62=4", "68/4=17", "35-17=18" ]
Current State: 18:[66, 62, 68, 35], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [68, 35, 4] Generated Node #2: [68, 35, 4] from Operation: 66-62=4 Current State: 18:[68, 35, 4], Operations: ['66-62=4'] Exploring Operation: 68/4=17, Resulting Numbers: [35, 17] Generated Node #3: [35, 17] from Operation: 68/4=17 Current State: 18:[35, 17], Operations: ['66-62=4', '68/4=17'] Exploring Operation: 35-17=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 2, 7, 66, 95 ]
44
[ "2*66=132", "95-7=88", "132-88=44" ]
Current State: 44:[2, 7, 66, 95], Operations: [] Exploring Operation: 2*66=132, Resulting Numbers: [7, 95, 132] Generated Node #2: [7, 95, 132] from Operation: 2*66=132 Current State: 44:[7, 95, 132], Operations: ['2*66=132'] Exploring Operation: 95-7=88, Resulting Numbers: [132, 88] Generated Node #3: [132, 88] from Operation: 95-7=88 Current State: 44:[132, 88], Operations: ['2*66=132', '95-7=88'] Exploring Operation: 132-88=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 24, 28, 54, 4 ]
67
[ "24+28=52", "52/4=13", "54+13=67" ]
Current State: 67:[24, 28, 54, 4], Operations: [] Exploring Operation: 24+28=52, Resulting Numbers: [54, 4, 52] Generated Node #2: [54, 4, 52] from Operation: 24+28=52 Current State: 67:[54, 4, 52], Operations: ['24+28=52'] Exploring Operation: 52/4=13, Resulting Numbers: [54, 13] Generated Node #3: [54, 13] from Operation: 52/4=13 Current State: 67:[54, 13], Operations: ['24+28=52', '52/4=13'] Exploring Operation: 54+13=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 36, 19, 29, 34 ]
77
[ "36-34=2", "29*2=58", "19+58=77" ]
Current State: 77:[36, 19, 29, 34], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [19, 29, 2] Generated Node #2: [19, 29, 2] from Operation: 36-34=2 Current State: 77:[19, 29, 2], Operations: ['36-34=2'] Exploring Operation: 29*2=58, Resulting Numbers: [19, 58] Generated Node #3: [19, 58] from Operation: 29*2=58 Current State: 77:[19, 58], Operations: ['36-34=2', '29*2=58'] Exploring Operation: 19+58=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 82, 94, 5, 25 ]
85
[ "94-82=12", "5*12=60", "25+60=85" ]
Current State: 85:[82, 94, 5, 25], Operations: [] Exploring Operation: 94-82=12, Resulting Numbers: [5, 25, 12] Generated Node #2: [5, 25, 12] from Operation: 94-82=12 Current State: 85:[5, 25, 12], Operations: ['94-82=12'] Exploring Operation: 5*12=60, Resulting Numbers: [25, 60] Generated Node #3: [25, 60] from Operation: 5*12=60 Current State: 85:[25, 60], Operations: ['94-82=12', '5*12=60'] Exploring Operation: 25+60=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 73, 76, 30, 19 ]
27
[ "76-73=3", "19*3=57", "57-30=27" ]
Current State: 27:[73, 76, 30, 19], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [30, 19, 3] Generated Node #2: [30, 19, 3] from Operation: 76-73=3 Current State: 27:[30, 19, 3], Operations: ['76-73=3'] Exploring Operation: 19*3=57, Resulting Numbers: [30, 57] Generated Node #3: [30, 57] from Operation: 19*3=57 Current State: 27:[30, 57], Operations: ['76-73=3', '19*3=57'] Exploring Operation: 57-30=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 68, 25, 91, 42 ]
87
[ "42-25=17", "68/17=4", "91-4=87" ]
Current State: 87:[68, 25, 91, 42], Operations: [] Exploring Operation: 42-25=17, Resulting Numbers: [68, 91, 17] Generated Node #2: [68, 91, 17] from Operation: 42-25=17 Current State: 87:[68, 91, 17], Operations: ['42-25=17'] Exploring Operation: 68/17=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 68/17=4 Current State: 87:[91, 4], Operations: ['42-25=17', '68/17=4'] Exploring Operation: 91-4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 55, 88, 70, 26 ]
10
[ "88-55=33", "33-26=7", "70/7=10" ]
Current State: 10:[55, 88, 70, 26], Operations: [] Exploring Operation: 88-55=33, Resulting Numbers: [70, 26, 33] Generated Node #2: [70, 26, 33] from Operation: 88-55=33 Current State: 10:[70, 26, 33], Operations: ['88-55=33'] Exploring Operation: 33-26=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 33-26=7 Current State: 10:[70, 7], Operations: ['88-55=33', '33-26=7'] Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 27, 88, 41, 56 ]
100
[ "27+88=115", "56-41=15", "115-15=100" ]
Current State: 100:[27, 88, 41, 56], Operations: [] Exploring Operation: 27+88=115, Resulting Numbers: [41, 56, 115] Generated Node #2: [41, 56, 115] from Operation: 27+88=115 Current State: 100:[41, 56, 115], Operations: ['27+88=115'] Exploring Operation: 56-41=15, Resulting Numbers: [115, 15] Generated Node #3: [115, 15] from Operation: 56-41=15 Current State: 100:[115, 15], Operations: ['27+88=115', '56-41=15'] Exploring Operation: 115-15=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 65, 38, 42, 32 ]
47
[ "65-38=27", "42+32=74", "74-27=47" ]
Current State: 47:[65, 38, 42, 32], Operations: [] Exploring Operation: 65-38=27, Resulting Numbers: [42, 32, 27] Generated Node #2: [42, 32, 27] from Operation: 65-38=27 Current State: 47:[42, 32, 27], Operations: ['65-38=27'] Exploring Operation: 42+32=74, Resulting Numbers: [27, 74] Generated Node #3: [27, 74] from Operation: 42+32=74 Current State: 47:[27, 74], Operations: ['65-38=27', '42+32=74'] Exploring Operation: 74-27=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 46, 2, 42, 78 ]
34
[ "46+42=88", "88/2=44", "78-44=34" ]
Current State: 34:[46, 2, 42, 78], Operations: [] Exploring Operation: 46+42=88, Resulting Numbers: [2, 78, 88] Generated Node #2: [2, 78, 88] from Operation: 46+42=88 Current State: 34:[2, 78, 88], Operations: ['46+42=88'] Exploring Operation: 88/2=44, Resulting Numbers: [78, 44] Generated Node #3: [78, 44] from Operation: 88/2=44 Current State: 34:[78, 44], Operations: ['46+42=88', '88/2=44'] Exploring Operation: 78-44=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 73, 79, 54, 98 ]
89
[ "79-73=6", "54/6=9", "98-9=89" ]
Current State: 89:[73, 79, 54, 98], Operations: [] Exploring Operation: 79-73=6, Resulting Numbers: [54, 98, 6] Generated Node #2: [54, 98, 6] from Operation: 79-73=6 Current State: 89:[54, 98, 6], Operations: ['79-73=6'] Exploring Operation: 54/6=9, Resulting Numbers: [98, 9] Generated Node #3: [98, 9] from Operation: 54/6=9 Current State: 89:[98, 9], Operations: ['79-73=6', '54/6=9'] Exploring Operation: 98-9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 22, 11, 32, 6 ]
28
[ "22/11=2", "32-6=26", "2+26=28" ]
Current State: 28:[22, 11, 32, 6], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [32, 6, 2] Generated Node #2: [32, 6, 2] from Operation: 22/11=2 Current State: 28:[32, 6, 2], Operations: ['22/11=2'] Exploring Operation: 32-6=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 32-6=26 Current State: 28:[2, 26], Operations: ['22/11=2', '32-6=26'] Exploring Operation: 2+26=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 11, 20, 60, 86 ]
35
[ "20-11=9", "86-60=26", "9+26=35" ]
Current State: 35:[11, 20, 60, 86], Operations: [] Exploring Operation: 20-11=9, Resulting Numbers: [60, 86, 9] Generated Node #2: [60, 86, 9] from Operation: 20-11=9 Current State: 35:[60, 86, 9], Operations: ['20-11=9'] Exploring Operation: 86-60=26, Resulting Numbers: [9, 26] Generated Node #3: [9, 26] from Operation: 86-60=26 Current State: 35:[9, 26], Operations: ['20-11=9', '86-60=26'] Exploring Operation: 9+26=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 59, 53, 51, 81 ]
82
[ "59+53=112", "81-51=30", "112-30=82" ]
Current State: 82:[59, 53, 51, 81], Operations: [] Exploring Operation: 59+53=112, Resulting Numbers: [51, 81, 112] Generated Node #2: [51, 81, 112] from Operation: 59+53=112 Current State: 82:[51, 81, 112], Operations: ['59+53=112'] Exploring Operation: 81-51=30, Resulting Numbers: [112, 30] Generated Node #3: [112, 30] from Operation: 81-51=30 Current State: 82:[112, 30], Operations: ['59+53=112', '81-51=30'] Exploring Operation: 112-30=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 81, 75, 81, 15 ]
60
[ "81+75=156", "81+15=96", "156-96=60" ]
Current State: 60:[81, 75, 81, 15], Operations: [] Exploring Operation: 81+75=156, Resulting Numbers: [15, 156] Generated Node #2: [15, 156] from Operation: 81+75=156 Current State: 60:[15, 156], Operations: ['81+75=156'] Exploring Operation: 81+15=96, Resulting Numbers: [156, 96] Generated Node #3: [156, 96] from Operation: 81+15=96 Current State: 60:[156, 96], Operations: ['81+75=156', '81+15=96'] Exploring Operation: 156-96=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 44, 14, 71, 10 ]
25
[ "44+71=115", "14*10=140", "140-115=25" ]
Current State: 25:[44, 14, 71, 10], Operations: [] Exploring Operation: 44+71=115, Resulting Numbers: [14, 10, 115] Generated Node #2: [14, 10, 115] from Operation: 44+71=115 Current State: 25:[14, 10, 115], Operations: ['44+71=115'] Exploring Operation: 14*10=140, Resulting Numbers: [115, 140] Generated Node #3: [115, 140] from Operation: 14*10=140 Current State: 25:[115, 140], Operations: ['44+71=115', '14*10=140'] Exploring Operation: 140-115=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 45, 29, 2, 23 ]
62
[ "45-29=16", "2*23=46", "16+46=62" ]
Current State: 62:[45, 29, 2, 23], Operations: [] Exploring Operation: 45-29=16, Resulting Numbers: [2, 23, 16] Generated Node #2: [2, 23, 16] from Operation: 45-29=16 Current State: 62:[2, 23, 16], Operations: ['45-29=16'] Exploring Operation: 2*23=46, Resulting Numbers: [16, 46] Generated Node #3: [16, 46] from Operation: 2*23=46 Current State: 62:[16, 46], Operations: ['45-29=16', '2*23=46'] Exploring Operation: 16+46=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 41, 26, 96 ]
91
[ "41-26=15", "15/3=5", "96-5=91" ]
Current State: 91:[3, 41, 26, 96], Operations: [] Exploring Operation: 41-26=15, Resulting Numbers: [3, 96, 15] Generated Node #2: [3, 96, 15] from Operation: 41-26=15 Current State: 91:[3, 96, 15], Operations: ['41-26=15'] Exploring Operation: 15/3=5, Resulting Numbers: [96, 5] Generated Node #3: [96, 5] from Operation: 15/3=5 Current State: 91:[96, 5], Operations: ['41-26=15', '15/3=5'] Exploring Operation: 96-5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 47, 21, 16, 24 ]
39
[ "47-21=26", "24*26=624", "624/16=39" ]
Current State: 39:[47, 21, 16, 24], Operations: [] Exploring Operation: 47-21=26, Resulting Numbers: [16, 24, 26] Generated Node #2: [16, 24, 26] from Operation: 47-21=26 Current State: 39:[16, 24, 26], Operations: ['47-21=26'] Exploring Operation: 24*26=624, Resulting Numbers: [16, 624] Generated Node #3: [16, 624] from Operation: 24*26=624 Current State: 39:[16, 624], Operations: ['47-21=26', '24*26=624'] Exploring Operation: 624/16=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 52, 10, 32, 83 ]
53
[ "52+10=62", "32+83=115", "115-62=53" ]
Current State: 53:[52, 10, 32, 83], Operations: [] Exploring Operation: 52+10=62, Resulting Numbers: [32, 83, 62] Generated Node #2: [32, 83, 62] from Operation: 52+10=62 Current State: 53:[32, 83, 62], Operations: ['52+10=62'] Exploring Operation: 32+83=115, Resulting Numbers: [62, 115] Generated Node #3: [62, 115] from Operation: 32+83=115 Current State: 53:[62, 115], Operations: ['52+10=62', '32+83=115'] Exploring Operation: 115-62=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 20, 52, 42, 5 ]
29
[ "20/5=4", "52/4=13", "42-13=29" ]
Current State: 29:[20, 52, 42, 5], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [52, 42, 4] Generated Node #2: [52, 42, 4] from Operation: 20/5=4 Current State: 29:[52, 42, 4], Operations: ['20/5=4'] Exploring Operation: 52/4=13, Resulting Numbers: [42, 13] Generated Node #3: [42, 13] from Operation: 52/4=13 Current State: 29:[42, 13], Operations: ['20/5=4', '52/4=13'] Exploring Operation: 42-13=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 21, 27, 56, 7 ]
56
[ "21+27=48", "56/7=8", "48+8=56" ]
Current State: 56:[21, 27, 56, 7], Operations: [] Exploring Operation: 21+27=48, Resulting Numbers: [56, 7, 48] Generated Node #2: [56, 7, 48] from Operation: 21+27=48 Current State: 56:[56, 7, 48], Operations: ['21+27=48'] Exploring Operation: 56/7=8, Resulting Numbers: [48, 8] Generated Node #3: [48, 8] from Operation: 56/7=8 Current State: 56:[48, 8], Operations: ['21+27=48', '56/7=8'] Exploring Operation: 48+8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 44, 93, 37, 88 ]
100
[ "93-44=49", "88-37=51", "49+51=100" ]
Current State: 100:[44, 93, 37, 88], Operations: [] Exploring Operation: 93-44=49, Resulting Numbers: [37, 88, 49] Generated Node #2: [37, 88, 49] from Operation: 93-44=49 Current State: 100:[37, 88, 49], Operations: ['93-44=49'] Exploring Operation: 88-37=51, Resulting Numbers: [49, 51] Generated Node #3: [49, 51] from Operation: 88-37=51 Current State: 100:[49, 51], Operations: ['93-44=49', '88-37=51'] Exploring Operation: 49+51=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 78, 22, 15, 15 ]
55
[ "78-22=56", "15/15=1", "56-1=55" ]
Current State: 55:[78, 22, 15, 15], Operations: [] Exploring Operation: 78-22=56, Resulting Numbers: [15, 15, 56] Generated Node #2: [15, 15, 56] from Operation: 78-22=56 Current State: 55:[15, 15, 56], Operations: ['78-22=56'] Exploring Operation: 15/15=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 15/15=1 Current State: 55:[56, 1], Operations: ['78-22=56', '15/15=1'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 43, 46, 35, 62 ]
49
[ "43+62=105", "105/35=3", "46+3=49" ]
Current State: 49:[43, 46, 35, 62], Operations: [] Exploring Operation: 43+62=105, Resulting Numbers: [46, 35, 105] Generated Node #2: [46, 35, 105] from Operation: 43+62=105 Current State: 49:[46, 35, 105], Operations: ['43+62=105'] Exploring Operation: 105/35=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 105/35=3 Current State: 49:[46, 3], Operations: ['43+62=105', '105/35=3'] Exploring Operation: 46+3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 86, 4, 58, 12 ]
25
[ "86-58=28", "12/4=3", "28-3=25" ]
Current State: 25:[86, 4, 58, 12], Operations: [] Exploring Operation: 86-58=28, Resulting Numbers: [4, 12, 28] Generated Node #2: [4, 12, 28] from Operation: 86-58=28 Current State: 25:[4, 12, 28], Operations: ['86-58=28'] Exploring Operation: 12/4=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 12/4=3 Current State: 25:[28, 3], Operations: ['86-58=28', '12/4=3'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 61, 76, 62, 88 ]
12
[ "62-61=1", "88-76=12", "1*12=12" ]
Current State: 12:[61, 76, 62, 88], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [76, 88, 1] Generated Node #2: [76, 88, 1] from Operation: 62-61=1 Current State: 12:[76, 88, 1], Operations: ['62-61=1'] Exploring Operation: 88-76=12, Resulting Numbers: [1, 12] Generated Node #3: [1, 12] from Operation: 88-76=12 Current State: 12:[1, 12], Operations: ['62-61=1', '88-76=12'] Exploring Operation: 1*12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 42, 99, 20, 28 ]
46
[ "99*28=2772", "2772/42=66", "66-20=46" ]
Current State: 46:[42, 99, 20, 28], Operations: [] Exploring Operation: 99*28=2772, Resulting Numbers: [42, 20, 2772] Generated Node #2: [42, 20, 2772] from Operation: 99*28=2772 Current State: 46:[42, 20, 2772], Operations: ['99*28=2772'] Exploring Operation: 2772/42=66, Resulting Numbers: [20, 66] Generated Node #3: [20, 66] from Operation: 2772/42=66 Current State: 46:[20, 66], Operations: ['99*28=2772', '2772/42=66'] Exploring Operation: 66-20=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 58, 52, 16, 13 ]
98
[ "58+52=110", "16*13=208", "208-110=98" ]
Current State: 98:[58, 52, 16, 13], Operations: [] Exploring Operation: 58+52=110, Resulting Numbers: [16, 13, 110] Generated Node #2: [16, 13, 110] from Operation: 58+52=110 Current State: 98:[16, 13, 110], Operations: ['58+52=110'] Exploring Operation: 16*13=208, Resulting Numbers: [110, 208] Generated Node #3: [110, 208] from Operation: 16*13=208 Current State: 98:[110, 208], Operations: ['58+52=110', '16*13=208'] Exploring Operation: 208-110=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 56, 24, 30, 70 ]
35
[ "56-24=32", "32-30=2", "70/2=35" ]
Current State: 35:[56, 24, 30, 70], Operations: [] Exploring Operation: 56-24=32, Resulting Numbers: [30, 70, 32] Generated Node #2: [30, 70, 32] from Operation: 56-24=32 Current State: 35:[30, 70, 32], Operations: ['56-24=32'] Exploring Operation: 32-30=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 32-30=2 Current State: 35:[70, 2], Operations: ['56-24=32', '32-30=2'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 31, 70, 3, 83 ]
82
[ "70+83=153", "153/3=51", "31+51=82" ]
Current State: 82:[31, 70, 3, 83], Operations: [] Exploring Operation: 70+83=153, Resulting Numbers: [31, 3, 153] Generated Node #2: [31, 3, 153] from Operation: 70+83=153 Current State: 82:[31, 3, 153], Operations: ['70+83=153'] Exploring Operation: 153/3=51, Resulting Numbers: [31, 51] Generated Node #3: [31, 51] from Operation: 153/3=51 Current State: 82:[31, 51], Operations: ['70+83=153', '153/3=51'] Exploring Operation: 31+51=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 75, 1, 31, 91 ]
16
[ "75+1=76", "91-31=60", "76-60=16" ]
Current State: 16:[75, 1, 31, 91], Operations: [] Exploring Operation: 75+1=76, Resulting Numbers: [31, 91, 76] Generated Node #2: [31, 91, 76] from Operation: 75+1=76 Current State: 16:[31, 91, 76], Operations: ['75+1=76'] Exploring Operation: 91-31=60, Resulting Numbers: [76, 60] Generated Node #3: [76, 60] from Operation: 91-31=60 Current State: 16:[76, 60], Operations: ['75+1=76', '91-31=60'] Exploring Operation: 76-60=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 6, 91, 77, 14 ]
14
[ "91+77=168", "168/6=28", "28-14=14" ]
Current State: 14:[6, 91, 77, 14], Operations: [] Exploring Operation: 91+77=168, Resulting Numbers: [6, 14, 168] Generated Node #2: [6, 14, 168] from Operation: 91+77=168 Current State: 14:[6, 14, 168], Operations: ['91+77=168'] Exploring Operation: 168/6=28, Resulting Numbers: [14, 28] Generated Node #3: [14, 28] from Operation: 168/6=28 Current State: 14:[14, 28], Operations: ['91+77=168', '168/6=28'] Exploring Operation: 28-14=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 17, 64, 17, 48 ]
15
[ "17/17=1", "64-48=16", "16-1=15" ]
Current State: 15:[17, 64, 17, 48], Operations: [] Exploring Operation: 17/17=1, Resulting Numbers: [64, 48, 1] Generated Node #2: [64, 48, 1] from Operation: 17/17=1 Current State: 15:[64, 48, 1], Operations: ['17/17=1'] Exploring Operation: 64-48=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 64-48=16 Current State: 15:[1, 16], Operations: ['17/17=1', '64-48=16'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 57, 29, 42, 29 ]
100
[ "57+42=99", "29/29=1", "99+1=100" ]
Current State: 100:[57, 29, 42, 29], Operations: [] Exploring Operation: 57+42=99, Resulting Numbers: [29, 29, 99] Generated Node #2: [29, 29, 99] from Operation: 57+42=99 Current State: 100:[29, 29, 99], Operations: ['57+42=99'] Exploring Operation: 29/29=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 29/29=1 Current State: 100:[99, 1], Operations: ['57+42=99', '29/29=1'] Exploring Operation: 99+1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 56, 99, 5, 62 ]
69
[ "62-56=6", "5*6=30", "99-30=69" ]
Current State: 69:[56, 99, 5, 62], Operations: [] Exploring Operation: 62-56=6, Resulting Numbers: [99, 5, 6] Generated Node #2: [99, 5, 6] from Operation: 62-56=6 Current State: 69:[99, 5, 6], Operations: ['62-56=6'] Exploring Operation: 5*6=30, Resulting Numbers: [99, 30] Generated Node #3: [99, 30] from Operation: 5*6=30 Current State: 69:[99, 30], Operations: ['62-56=6', '5*6=30'] Exploring Operation: 99-30=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 67, 5, 53, 10 ]
17
[ "67+53=120", "120/10=12", "5+12=17" ]
Current State: 17:[67, 5, 53, 10], Operations: [] Exploring Operation: 67+53=120, Resulting Numbers: [5, 10, 120] Generated Node #2: [5, 10, 120] from Operation: 67+53=120 Current State: 17:[5, 10, 120], Operations: ['67+53=120'] Exploring Operation: 120/10=12, Resulting Numbers: [5, 12] Generated Node #3: [5, 12] from Operation: 120/10=12 Current State: 17:[5, 12], Operations: ['67+53=120', '120/10=12'] Exploring Operation: 5+12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 15, 51, 68, 31 ]
63
[ "51-15=36", "68+31=99", "99-36=63" ]
Current State: 63:[15, 51, 68, 31], Operations: [] Exploring Operation: 51-15=36, Resulting Numbers: [68, 31, 36] Generated Node #2: [68, 31, 36] from Operation: 51-15=36 Current State: 63:[68, 31, 36], Operations: ['51-15=36'] Exploring Operation: 68+31=99, Resulting Numbers: [36, 99] Generated Node #3: [36, 99] from Operation: 68+31=99 Current State: 63:[36, 99], Operations: ['51-15=36', '68+31=99'] Exploring Operation: 99-36=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 93, 48, 51, 46 ]
49
[ "93+51=144", "144/48=3", "46+3=49" ]
Current State: 49:[93, 48, 51, 46], Operations: [] Exploring Operation: 93+51=144, Resulting Numbers: [48, 46, 144] Generated Node #2: [48, 46, 144] from Operation: 93+51=144 Current State: 49:[48, 46, 144], Operations: ['93+51=144'] Exploring Operation: 144/48=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 144/48=3 Current State: 49:[46, 3], Operations: ['93+51=144', '144/48=3'] Exploring Operation: 46+3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 37, 48, 2, 12 ]
38
[ "37*2=74", "48-12=36", "74-36=38" ]
Current State: 38:[37, 48, 2, 12], Operations: [] Exploring Operation: 37*2=74, Resulting Numbers: [48, 12, 74] Generated Node #2: [48, 12, 74] from Operation: 37*2=74 Current State: 38:[48, 12, 74], Operations: ['37*2=74'] Exploring Operation: 48-12=36, Resulting Numbers: [74, 36] Generated Node #3: [74, 36] from Operation: 48-12=36 Current State: 38:[74, 36], Operations: ['37*2=74', '48-12=36'] Exploring Operation: 74-36=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 18, 82, 1, 41 ]
58
[ "18+82=100", "1+41=42", "100-42=58" ]
Current State: 58:[18, 82, 1, 41], Operations: [] Exploring Operation: 18+82=100, Resulting Numbers: [1, 41, 100] Generated Node #2: [1, 41, 100] from Operation: 18+82=100 Current State: 58:[1, 41, 100], Operations: ['18+82=100'] Exploring Operation: 1+41=42, Resulting Numbers: [100, 42] Generated Node #3: [100, 42] from Operation: 1+41=42 Current State: 58:[100, 42], Operations: ['18+82=100', '1+41=42'] Exploring Operation: 100-42=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 56, 71, 83, 83 ]
16
[ "71-56=15", "83/83=1", "15+1=16" ]
Current State: 16:[56, 71, 83, 83], Operations: [] Exploring Operation: 71-56=15, Resulting Numbers: [83, 83, 15] Generated Node #2: [83, 83, 15] from Operation: 71-56=15 Current State: 16:[83, 83, 15], Operations: ['71-56=15'] Exploring Operation: 83/83=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 83/83=1 Current State: 16:[15, 1], Operations: ['71-56=15', '83/83=1'] Exploring Operation: 15+1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 12, 69, 52, 34 ]
10
[ "69-52=17", "34/17=2", "12-2=10" ]
Current State: 10:[12, 69, 52, 34], Operations: [] Exploring Operation: 69-52=17, Resulting Numbers: [12, 34, 17] Generated Node #2: [12, 34, 17] from Operation: 69-52=17 Current State: 10:[12, 34, 17], Operations: ['69-52=17'] Exploring Operation: 34/17=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 34/17=2 Current State: 10:[12, 2], Operations: ['69-52=17', '34/17=2'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 10, 66, 23, 76 ]
88
[ "10*23=230", "66+76=142", "230-142=88" ]
Current State: 88:[10, 66, 23, 76], Operations: [] Exploring Operation: 10*23=230, Resulting Numbers: [66, 76, 230] Generated Node #2: [66, 76, 230] from Operation: 10*23=230 Current State: 88:[66, 76, 230], Operations: ['10*23=230'] Exploring Operation: 66+76=142, Resulting Numbers: [230, 142] Generated Node #3: [230, 142] from Operation: 66+76=142 Current State: 88:[230, 142], Operations: ['10*23=230', '66+76=142'] Exploring Operation: 230-142=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 33, 74, 28, 38 ]
97
[ "33+74=107", "38-28=10", "107-10=97" ]
Current State: 97:[33, 74, 28, 38], Operations: [] Exploring Operation: 33+74=107, Resulting Numbers: [28, 38, 107] Generated Node #2: [28, 38, 107] from Operation: 33+74=107 Current State: 97:[28, 38, 107], Operations: ['33+74=107'] Exploring Operation: 38-28=10, Resulting Numbers: [107, 10] Generated Node #3: [107, 10] from Operation: 38-28=10 Current State: 97:[107, 10], Operations: ['33+74=107', '38-28=10'] Exploring Operation: 107-10=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 24, 80, 54, 5 ]
86
[ "54-24=30", "30/5=6", "80+6=86" ]
Current State: 86:[24, 80, 54, 5], Operations: [] Exploring Operation: 54-24=30, Resulting Numbers: [80, 5, 30] Generated Node #2: [80, 5, 30] from Operation: 54-24=30 Current State: 86:[80, 5, 30], Operations: ['54-24=30'] Exploring Operation: 30/5=6, Resulting Numbers: [80, 6] Generated Node #3: [80, 6] from Operation: 30/5=6 Current State: 86:[80, 6], Operations: ['54-24=30', '30/5=6'] Exploring Operation: 80+6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 13, 43, 55, 24 ]
49
[ "43-13=30", "55+24=79", "79-30=49" ]
Current State: 49:[13, 43, 55, 24], Operations: [] Exploring Operation: 43-13=30, Resulting Numbers: [55, 24, 30] Generated Node #2: [55, 24, 30] from Operation: 43-13=30 Current State: 49:[55, 24, 30], Operations: ['43-13=30'] Exploring Operation: 55+24=79, Resulting Numbers: [30, 79] Generated Node #3: [30, 79] from Operation: 55+24=79 Current State: 49:[30, 79], Operations: ['43-13=30', '55+24=79'] Exploring Operation: 79-30=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 4, 87, 50, 41 ]
100
[ "4+87=91", "50-41=9", "91+9=100" ]
Current State: 100:[4, 87, 50, 41], Operations: [] Exploring Operation: 4+87=91, Resulting Numbers: [50, 41, 91] Generated Node #2: [50, 41, 91] from Operation: 4+87=91 Current State: 100:[50, 41, 91], Operations: ['4+87=91'] Exploring Operation: 50-41=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 50-41=9 Current State: 100:[91, 9], Operations: ['4+87=91', '50-41=9'] Exploring Operation: 91+9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 64, 79, 86, 86 ]
16
[ "79-64=15", "86/86=1", "15+1=16" ]
Current State: 16:[64, 79, 86, 86], Operations: [] Exploring Operation: 79-64=15, Resulting Numbers: [86, 86, 15] Generated Node #2: [86, 86, 15] from Operation: 79-64=15 Current State: 16:[86, 86, 15], Operations: ['79-64=15'] Exploring Operation: 86/86=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 86/86=1 Current State: 16:[15, 1], Operations: ['79-64=15', '86/86=1'] Exploring Operation: 15+1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 6, 3, 30, 13 ]
77
[ "6-3=3", "30*3=90", "90-13=77" ]
Current State: 77:[6, 3, 30, 13], Operations: [] Exploring Operation: 6-3=3, Resulting Numbers: [30, 13, 3] Generated Node #2: [30, 13, 3] from Operation: 6-3=3 Current State: 77:[30, 13, 3], Operations: ['6-3=3'] Exploring Operation: 30*3=90, Resulting Numbers: [13, 90] Generated Node #3: [13, 90] from Operation: 30*3=90 Current State: 77:[13, 90], Operations: ['6-3=3', '30*3=90'] Exploring Operation: 90-13=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 51, 98, 14, 56 ]
100
[ "51+56=107", "98/14=7", "107-7=100" ]
Current State: 100:[51, 98, 14, 56], Operations: [] Exploring Operation: 51+56=107, Resulting Numbers: [98, 14, 107] Generated Node #2: [98, 14, 107] from Operation: 51+56=107 Current State: 100:[98, 14, 107], Operations: ['51+56=107'] Exploring Operation: 98/14=7, Resulting Numbers: [107, 7] Generated Node #3: [107, 7] from Operation: 98/14=7 Current State: 100:[107, 7], Operations: ['51+56=107', '98/14=7'] Exploring Operation: 107-7=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 3, 73, 87, 76 ]
40
[ "87-76=11", "3*11=33", "73-33=40" ]
Current State: 40:[3, 73, 87, 76], Operations: [] Exploring Operation: 87-76=11, Resulting Numbers: [3, 73, 11] Generated Node #2: [3, 73, 11] from Operation: 87-76=11 Current State: 40:[3, 73, 11], Operations: ['87-76=11'] Exploring Operation: 3*11=33, Resulting Numbers: [73, 33] Generated Node #3: [73, 33] from Operation: 3*11=33 Current State: 40:[73, 33], Operations: ['87-76=11', '3*11=33'] Exploring Operation: 73-33=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 76, 42, 1, 61 ]
27
[ "76-42=34", "1*61=61", "61-34=27" ]
Current State: 27:[76, 42, 1, 61], Operations: [] Exploring Operation: 76-42=34, Resulting Numbers: [1, 61, 34] Generated Node #2: [1, 61, 34] from Operation: 76-42=34 Current State: 27:[1, 61, 34], Operations: ['76-42=34'] Exploring Operation: 1*61=61, Resulting Numbers: [34, 61] Generated Node #3: [34, 61] from Operation: 1*61=61 Current State: 27:[34, 61], Operations: ['76-42=34', '1*61=61'] Exploring Operation: 61-34=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 54, 13, 75, 18 ]
10
[ "54+13=67", "75-18=57", "67-57=10" ]
Current State: 10:[54, 13, 75, 18], Operations: [] Exploring Operation: 54+13=67, Resulting Numbers: [75, 18, 67] Generated Node #2: [75, 18, 67] from Operation: 54+13=67 Current State: 10:[75, 18, 67], Operations: ['54+13=67'] Exploring Operation: 75-18=57, Resulting Numbers: [67, 57] Generated Node #3: [67, 57] from Operation: 75-18=57 Current State: 10:[67, 57], Operations: ['54+13=67', '75-18=57'] Exploring Operation: 67-57=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 5, 60, 9, 3 ]
68
[ "5+60=65", "9/3=3", "65+3=68" ]
Current State: 68:[5, 60, 9, 3], Operations: [] Exploring Operation: 5+60=65, Resulting Numbers: [9, 3, 65] Generated Node #2: [9, 3, 65] from Operation: 5+60=65 Current State: 68:[9, 3, 65], Operations: ['5+60=65'] Exploring Operation: 9/3=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 9/3=3 Current State: 68:[65, 3], Operations: ['5+60=65', '9/3=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 20, 79, 14, 65 ]
19
[ "79-14=65", "65/65=1", "20-1=19" ]
Current State: 19:[20, 79, 14, 65], Operations: [] Exploring Operation: 79-14=65, Resulting Numbers: [20, 65, 65] Generated Node #2: [20, 65, 65] from Operation: 79-14=65 Current State: 19:[20, 65, 65], Operations: ['79-14=65'] Exploring Operation: 65/65=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 65/65=1 Current State: 19:[20, 1], Operations: ['79-14=65', '65/65=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 35, 32, 29, 59 ]
85
[ "35-32=3", "29+59=88", "88-3=85" ]
Current State: 85:[35, 32, 29, 59], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [29, 59, 3] Generated Node #2: [29, 59, 3] from Operation: 35-32=3 Current State: 85:[29, 59, 3], Operations: ['35-32=3'] Exploring Operation: 29+59=88, Resulting Numbers: [3, 88] Generated Node #3: [3, 88] from Operation: 29+59=88 Current State: 85:[3, 88], Operations: ['35-32=3', '29+59=88'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 36, 27, 95, 19 ]
99
[ "27*95=2565", "2565/19=135", "135-36=99" ]
Current State: 99:[36, 27, 95, 19], Operations: [] Exploring Operation: 27*95=2565, Resulting Numbers: [36, 19, 2565] Generated Node #2: [36, 19, 2565] from Operation: 27*95=2565 Current State: 99:[36, 19, 2565], Operations: ['27*95=2565'] Exploring Operation: 2565/19=135, Resulting Numbers: [36, 135] Generated Node #3: [36, 135] from Operation: 2565/19=135 Current State: 99:[36, 135], Operations: ['27*95=2565', '2565/19=135'] Exploring Operation: 135-36=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 54, 71, 49, 2 ]
87
[ "54+71=125", "49+125=174", "174/2=87" ]
Current State: 87:[54, 71, 49, 2], Operations: [] Exploring Operation: 54+71=125, Resulting Numbers: [49, 2, 125] Generated Node #2: [49, 2, 125] from Operation: 54+71=125 Current State: 87:[49, 2, 125], Operations: ['54+71=125'] Exploring Operation: 49+125=174, Resulting Numbers: [2, 174] Generated Node #3: [2, 174] from Operation: 49+125=174 Current State: 87:[2, 174], Operations: ['54+71=125', '49+125=174'] Exploring Operation: 174/2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 21, 68, 2, 87 ]
74
[ "21+87=108", "68/2=34", "108-34=74" ]
Current State: 74:[21, 68, 2, 87], Operations: [] Exploring Operation: 21+87=108, Resulting Numbers: [68, 2, 108] Generated Node #2: [68, 2, 108] from Operation: 21+87=108 Current State: 74:[68, 2, 108], Operations: ['21+87=108'] Exploring Operation: 68/2=34, Resulting Numbers: [108, 34] Generated Node #3: [108, 34] from Operation: 68/2=34 Current State: 74:[108, 34], Operations: ['21+87=108', '68/2=34'] Exploring Operation: 108-34=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 47, 9, 1, 35 ]
92
[ "47+9=56", "1+35=36", "56+36=92" ]
Current State: 92:[47, 9, 1, 35], Operations: [] Exploring Operation: 47+9=56, Resulting Numbers: [1, 35, 56] Generated Node #2: [1, 35, 56] from Operation: 47+9=56 Current State: 92:[1, 35, 56], Operations: ['47+9=56'] Exploring Operation: 1+35=36, Resulting Numbers: [56, 36] Generated Node #3: [56, 36] from Operation: 1+35=36 Current State: 92:[56, 36], Operations: ['47+9=56', '1+35=36'] Exploring Operation: 56+36=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 87, 35, 15, 88 ]
10
[ "87+88=175", "175/35=5", "15-5=10" ]
Current State: 10:[87, 35, 15, 88], Operations: [] Exploring Operation: 87+88=175, Resulting Numbers: [35, 15, 175] Generated Node #2: [35, 15, 175] from Operation: 87+88=175 Current State: 10:[35, 15, 175], Operations: ['87+88=175'] Exploring Operation: 175/35=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 175/35=5 Current State: 10:[15, 5], Operations: ['87+88=175', '175/35=5'] Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 7, 51, 55, 74 ]
10
[ "55-51=4", "74-4=70", "70/7=10" ]
Current State: 10:[7, 51, 55, 74], Operations: [] Exploring Operation: 55-51=4, Resulting Numbers: [7, 74, 4] Generated Node #2: [7, 74, 4] from Operation: 55-51=4 Current State: 10:[7, 74, 4], Operations: ['55-51=4'] Exploring Operation: 74-4=70, Resulting Numbers: [7, 70] Generated Node #3: [7, 70] from Operation: 74-4=70 Current State: 10:[7, 70], Operations: ['55-51=4', '74-4=70'] Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 80, 52, 24, 25 ]
10
[ "24*25=600", "600-80=520", "520/52=10" ]
Current State: 10:[80, 52, 24, 25], Operations: [] Exploring Operation: 24*25=600, Resulting Numbers: [80, 52, 600] Generated Node #2: [80, 52, 600] from Operation: 24*25=600 Current State: 10:[80, 52, 600], Operations: ['24*25=600'] Exploring Operation: 600-80=520, Resulting Numbers: [52, 520] Generated Node #3: [52, 520] from Operation: 600-80=520 Current State: 10:[52, 520], Operations: ['24*25=600', '600-80=520'] Exploring Operation: 520/52=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 87, 73, 7, 70 ]
91
[ "87-73=14", "7+70=77", "14+77=91" ]
Current State: 91:[87, 73, 7, 70], Operations: [] Exploring Operation: 87-73=14, Resulting Numbers: [7, 70, 14] Generated Node #2: [7, 70, 14] from Operation: 87-73=14 Current State: 91:[7, 70, 14], Operations: ['87-73=14'] Exploring Operation: 7+70=77, Resulting Numbers: [14, 77] Generated Node #3: [14, 77] from Operation: 7+70=77 Current State: 91:[14, 77], Operations: ['87-73=14', '7+70=77'] Exploring Operation: 14+77=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 5, 7, 18, 90 ]
35
[ "7+18=25", "5*25=125", "125-90=35" ]
Current State: 35:[5, 7, 18, 90], Operations: [] Exploring Operation: 7+18=25, Resulting Numbers: [5, 90, 25] Generated Node #2: [5, 90, 25] from Operation: 7+18=25 Current State: 35:[5, 90, 25], Operations: ['7+18=25'] Exploring Operation: 5*25=125, Resulting Numbers: [90, 125] Generated Node #3: [90, 125] from Operation: 5*25=125 Current State: 35:[90, 125], Operations: ['7+18=25', '5*25=125'] Exploring Operation: 125-90=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 71, 25, 81, 98 ]
29
[ "71-25=46", "98-81=17", "46-17=29" ]
Current State: 29:[71, 25, 81, 98], Operations: [] Exploring Operation: 71-25=46, Resulting Numbers: [81, 98, 46] Generated Node #2: [81, 98, 46] from Operation: 71-25=46 Current State: 29:[81, 98, 46], Operations: ['71-25=46'] Exploring Operation: 98-81=17, Resulting Numbers: [46, 17] Generated Node #3: [46, 17] from Operation: 98-81=17 Current State: 29:[46, 17], Operations: ['71-25=46', '98-81=17'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 32, 5, 23, 76 ]
19
[ "32-5=27", "27-23=4", "76/4=19" ]
Current State: 19:[32, 5, 23, 76], Operations: [] Exploring Operation: 32-5=27, Resulting Numbers: [23, 76, 27] Generated Node #2: [23, 76, 27] from Operation: 32-5=27 Current State: 19:[23, 76, 27], Operations: ['32-5=27'] Exploring Operation: 27-23=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 27-23=4 Current State: 19:[76, 4], Operations: ['32-5=27', '27-23=4'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4