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
[ 69, 69, 48, 97 ]
49
[ "69-69=0", "97-48=49", "0+49=49" ]
Current State: 49:[69, 69, 48, 97], Operations: [] Exploring Operation: 69-69=0, Resulting Numbers: [48, 97, 0] Generated Node #2: [48, 97, 0] from Operation: 69-69=0 Current State: 49:[48, 97, 0], Operations: ['69-69=0'] Exploring Operation: 97-48=49, Resulting Numbers: [0, 49] Generated Node #3: [0, 49] from Operation: 97-48=49 Current State: 49:[0, 49], Operations: ['69-69=0', '97-48=49'] Exploring Operation: 0+49=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 43, 43, 2, 77 ]
11
[ "43+43=86", "77-2=75", "86-75=11" ]
Current State: 11:[43, 43, 2, 77], Operations: [] Exploring Operation: 43+43=86, Resulting Numbers: [2, 77, 86] Generated Node #2: [2, 77, 86] from Operation: 43+43=86 Current State: 11:[2, 77, 86], Operations: ['43+43=86'] Exploring Operation: 77-2=75, Resulting Numbers: [86, 75] Generated Node #3: [86, 75] from Operation: 77-2=75 Current State: 11:[86, 75], Operations: ['43+43=86', '77-2=75'] Exploring Operation: 86-75=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 14, 26, 28, 31 ]
88
[ "28/14=2", "31*2=62", "26+62=88" ]
Current State: 88:[14, 26, 28, 31], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [26, 31, 2] Generated Node #2: [26, 31, 2] from Operation: 28/14=2 Current State: 88:[26, 31, 2], Operations: ['28/14=2'] Exploring Operation: 31*2=62, Resulting Numbers: [26, 62] Generated Node #3: [26, 62] from Operation: 31*2=62 Current State: 88:[26, 62], Operations: ['28/14=2', '31*2=62'] Exploring Operation: 26+62=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 48, 28, 32, 56 ]
98
[ "48*28=1344", "1344/32=42", "56+42=98" ]
Current State: 98:[48, 28, 32, 56], Operations: [] Exploring Operation: 48*28=1344, Resulting Numbers: [32, 56, 1344] Generated Node #2: [32, 56, 1344] from Operation: 48*28=1344 Current State: 98:[32, 56, 1344], Operations: ['48*28=1344'] Exploring Operation: 1344/32=42, Resulting Numbers: [56, 42] Generated Node #3: [56, 42] from Operation: 1344/32=42 Current State: 98:[56, 42], Operations: ['48*28=1344', '1344/32=42'] Exploring Operation: 56+42=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 20, 2, 50, 39 ]
49
[ "20*2=40", "50+39=89", "89-40=49" ]
Current State: 49:[20, 2, 50, 39], Operations: [] Exploring Operation: 20*2=40, Resulting Numbers: [50, 39, 40] Generated Node #2: [50, 39, 40] from Operation: 20*2=40 Current State: 49:[50, 39, 40], Operations: ['20*2=40'] Exploring Operation: 50+39=89, Resulting Numbers: [40, 89] Generated Node #3: [40, 89] from Operation: 50+39=89 Current State: 49:[40, 89], Operations: ['20*2=40', '50+39=89'] Exploring Operation: 89-40=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 51, 44, 62, 61 ]
96
[ "51+44=95", "62-61=1", "95+1=96" ]
Current State: 96:[51, 44, 62, 61], Operations: [] Exploring Operation: 51+44=95, Resulting Numbers: [62, 61, 95] Generated Node #2: [62, 61, 95] from Operation: 51+44=95 Current State: 96:[62, 61, 95], Operations: ['51+44=95'] Exploring Operation: 62-61=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 62-61=1 Current State: 96:[95, 1], Operations: ['51+44=95', '62-61=1'] Exploring Operation: 95+1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 98, 3, 77, 67 ]
85
[ "98-3=95", "77-67=10", "95-10=85" ]
Current State: 85:[98, 3, 77, 67], Operations: [] Exploring Operation: 98-3=95, Resulting Numbers: [77, 67, 95] Generated Node #2: [77, 67, 95] from Operation: 98-3=95 Current State: 85:[77, 67, 95], Operations: ['98-3=95'] Exploring Operation: 77-67=10, Resulting Numbers: [95, 10] Generated Node #3: [95, 10] from Operation: 77-67=10 Current State: 85:[95, 10], Operations: ['98-3=95', '77-67=10'] Exploring Operation: 95-10=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 90, 18, 67, 6 ]
67
[ "90/18=5", "6-5=1", "67*1=67" ]
Current State: 67:[90, 18, 67, 6], Operations: [] Exploring Operation: 90/18=5, Resulting Numbers: [67, 6, 5] Generated Node #2: [67, 6, 5] from Operation: 90/18=5 Current State: 67:[67, 6, 5], Operations: ['90/18=5'] Exploring Operation: 6-5=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 6-5=1 Current State: 67:[67, 1], Operations: ['90/18=5', '6-5=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 22, 36, 47, 28 ]
89
[ "36-22=14", "47+28=75", "14+75=89" ]
Current State: 89:[22, 36, 47, 28], Operations: [] Exploring Operation: 36-22=14, Resulting Numbers: [47, 28, 14] Generated Node #2: [47, 28, 14] from Operation: 36-22=14 Current State: 89:[47, 28, 14], Operations: ['36-22=14'] Exploring Operation: 47+28=75, Resulting Numbers: [14, 75] Generated Node #3: [14, 75] from Operation: 47+28=75 Current State: 89:[14, 75], Operations: ['36-22=14', '47+28=75'] Exploring Operation: 14+75=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 71, 75, 99, 41 ]
65
[ "75-71=4", "41*4=164", "164-99=65" ]
Current State: 65:[71, 75, 99, 41], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [99, 41, 4] Generated Node #2: [99, 41, 4] from Operation: 75-71=4 Current State: 65:[99, 41, 4], Operations: ['75-71=4'] Exploring Operation: 41*4=164, Resulting Numbers: [99, 164] Generated Node #3: [99, 164] from Operation: 41*4=164 Current State: 65:[99, 164], Operations: ['75-71=4', '41*4=164'] Exploring Operation: 164-99=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 8, 84, 72, 75 ]
16
[ "84-75=9", "72/9=8", "8+8=16" ]
Current State: 16:[8, 84, 72, 75], Operations: [] Exploring Operation: 84-75=9, Resulting Numbers: [8, 72, 9] Generated Node #2: [8, 72, 9] from Operation: 84-75=9 Current State: 16:[8, 72, 9], Operations: ['84-75=9'] Exploring Operation: 72/9=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 72/9=8 Current State: 16:[8, 8], Operations: ['84-75=9', '72/9=8'] Exploring Operation: 8+8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 25, 26, 60, 44 ]
15
[ "26-25=1", "60-44=16", "16-1=15" ]
Current State: 15:[25, 26, 60, 44], Operations: [] Exploring Operation: 26-25=1, Resulting Numbers: [60, 44, 1] Generated Node #2: [60, 44, 1] from Operation: 26-25=1 Current State: 15:[60, 44, 1], Operations: ['26-25=1'] Exploring Operation: 60-44=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 60-44=16 Current State: 15:[1, 16], Operations: ['26-25=1', '60-44=16'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 90, 32, 52, 56 ]
32
[ "90*32=2880", "52*56=2912", "2912-2880=32" ]
Current State: 32:[90, 32, 52, 56], Operations: [] Exploring Operation: 90*32=2880, Resulting Numbers: [52, 56, 2880] Generated Node #2: [52, 56, 2880] from Operation: 90*32=2880 Current State: 32:[52, 56, 2880], Operations: ['90*32=2880'] Exploring Operation: 52*56=2912, Resulting Numbers: [2880, 2912] Generated Node #3: [2880, 2912] from Operation: 52*56=2912 Current State: 32:[2880, 2912], Operations: ['90*32=2880', '52*56=2912'] Exploring Operation: 2912-2880=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 26, 7, 7, 2 ]
33
[ "26-7=19", "7*2=14", "19+14=33" ]
Current State: 33:[26, 7, 7, 2], Operations: [] Exploring Operation: 26-7=19, Resulting Numbers: [2, 19] Generated Node #2: [2, 19] from Operation: 26-7=19 Current State: 33:[2, 19], Operations: ['26-7=19'] Exploring Operation: 7*2=14, Resulting Numbers: [19, 14] Generated Node #3: [19, 14] from Operation: 7*2=14 Current State: 33:[19, 14], Operations: ['26-7=19', '7*2=14'] Exploring Operation: 19+14=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 96, 27, 50 ]
19
[ "50-27=23", "5*23=115", "115-96=19" ]
Current State: 19:[5, 96, 27, 50], Operations: [] Exploring Operation: 50-27=23, Resulting Numbers: [5, 96, 23] Generated Node #2: [5, 96, 23] from Operation: 50-27=23 Current State: 19:[5, 96, 23], Operations: ['50-27=23'] Exploring Operation: 5*23=115, Resulting Numbers: [96, 115] Generated Node #3: [96, 115] from Operation: 5*23=115 Current State: 19:[96, 115], Operations: ['50-27=23', '5*23=115'] Exploring Operation: 115-96=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 22, 84, 38, 39 ]
15
[ "84-22=62", "38+39=77", "77-62=15" ]
Current State: 15:[22, 84, 38, 39], Operations: [] Exploring Operation: 84-22=62, Resulting Numbers: [38, 39, 62] Generated Node #2: [38, 39, 62] from Operation: 84-22=62 Current State: 15:[38, 39, 62], Operations: ['84-22=62'] Exploring Operation: 38+39=77, Resulting Numbers: [62, 77] Generated Node #3: [62, 77] from Operation: 38+39=77 Current State: 15:[62, 77], Operations: ['84-22=62', '38+39=77'] Exploring Operation: 77-62=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 16, 60, 2, 35 ]
73
[ "16+60=76", "76/2=38", "35+38=73" ]
Current State: 73:[16, 60, 2, 35], Operations: [] Exploring Operation: 16+60=76, Resulting Numbers: [2, 35, 76] Generated Node #2: [2, 35, 76] from Operation: 16+60=76 Current State: 73:[2, 35, 76], Operations: ['16+60=76'] Exploring Operation: 76/2=38, Resulting Numbers: [35, 38] Generated Node #3: [35, 38] from Operation: 76/2=38 Current State: 73:[35, 38], Operations: ['16+60=76', '76/2=38'] Exploring Operation: 35+38=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 27, 83, 71, 47 ]
86
[ "27+83=110", "71-47=24", "110-24=86" ]
Current State: 86:[27, 83, 71, 47], Operations: [] Exploring Operation: 27+83=110, Resulting Numbers: [71, 47, 110] Generated Node #2: [71, 47, 110] from Operation: 27+83=110 Current State: 86:[71, 47, 110], Operations: ['27+83=110'] Exploring Operation: 71-47=24, Resulting Numbers: [110, 24] Generated Node #3: [110, 24] from Operation: 71-47=24 Current State: 86:[110, 24], Operations: ['27+83=110', '71-47=24'] Exploring Operation: 110-24=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 28, 61, 18, 94 ]
23
[ "28+61=89", "18+94=112", "112-89=23" ]
Current State: 23:[28, 61, 18, 94], Operations: [] Exploring Operation: 28+61=89, Resulting Numbers: [18, 94, 89] Generated Node #2: [18, 94, 89] from Operation: 28+61=89 Current State: 23:[18, 94, 89], Operations: ['28+61=89'] Exploring Operation: 18+94=112, Resulting Numbers: [89, 112] Generated Node #3: [89, 112] from Operation: 18+94=112 Current State: 23:[89, 112], Operations: ['28+61=89', '18+94=112'] Exploring Operation: 112-89=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 74, 90, 96, 48 ]
42
[ "90-74=16", "96/16=6", "48-6=42" ]
Current State: 42:[74, 90, 96, 48], Operations: [] Exploring Operation: 90-74=16, Resulting Numbers: [96, 48, 16] Generated Node #2: [96, 48, 16] from Operation: 90-74=16 Current State: 42:[96, 48, 16], Operations: ['90-74=16'] Exploring Operation: 96/16=6, Resulting Numbers: [48, 6] Generated Node #3: [48, 6] from Operation: 96/16=6 Current State: 42:[48, 6], Operations: ['90-74=16', '96/16=6'] Exploring Operation: 48-6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 92, 50, 23, 79 ]
86
[ "92+50=142", "79-23=56", "142-56=86" ]
Current State: 86:[92, 50, 23, 79], Operations: [] Exploring Operation: 92+50=142, Resulting Numbers: [23, 79, 142] Generated Node #2: [23, 79, 142] from Operation: 92+50=142 Current State: 86:[23, 79, 142], Operations: ['92+50=142'] Exploring Operation: 79-23=56, Resulting Numbers: [142, 56] Generated Node #3: [142, 56] from Operation: 79-23=56 Current State: 86:[142, 56], Operations: ['92+50=142', '79-23=56'] Exploring Operation: 142-56=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 64, 52, 49, 98 ]
54
[ "64+98=162", "52-49=3", "162/3=54" ]
Current State: 54:[64, 52, 49, 98], Operations: [] Exploring Operation: 64+98=162, Resulting Numbers: [52, 49, 162] Generated Node #2: [52, 49, 162] from Operation: 64+98=162 Current State: 54:[52, 49, 162], Operations: ['64+98=162'] Exploring Operation: 52-49=3, Resulting Numbers: [162, 3] Generated Node #3: [162, 3] from Operation: 52-49=3 Current State: 54:[162, 3], Operations: ['64+98=162', '52-49=3'] Exploring Operation: 162/3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 21, 7, 14, 68 ]
65
[ "21*7=147", "14+68=82", "147-82=65" ]
Current State: 65:[21, 7, 14, 68], Operations: [] Exploring Operation: 21*7=147, Resulting Numbers: [14, 68, 147] Generated Node #2: [14, 68, 147] from Operation: 21*7=147 Current State: 65:[14, 68, 147], Operations: ['21*7=147'] Exploring Operation: 14+68=82, Resulting Numbers: [147, 82] Generated Node #3: [147, 82] from Operation: 14+68=82 Current State: 65:[147, 82], Operations: ['21*7=147', '14+68=82'] Exploring Operation: 147-82=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 4, 38, 47, 9 ]
96
[ "4*38=152", "47+9=56", "152-56=96" ]
Current State: 96:[4, 38, 47, 9], Operations: [] Exploring Operation: 4*38=152, Resulting Numbers: [47, 9, 152] Generated Node #2: [47, 9, 152] from Operation: 4*38=152 Current State: 96:[47, 9, 152], Operations: ['4*38=152'] Exploring Operation: 47+9=56, Resulting Numbers: [152, 56] Generated Node #3: [152, 56] from Operation: 47+9=56 Current State: 96:[152, 56], Operations: ['4*38=152', '47+9=56'] Exploring Operation: 152-56=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 6, 33, 97, 69 ]
91
[ "69-33=36", "36/6=6", "97-6=91" ]
Current State: 91:[6, 33, 97, 69], Operations: [] Exploring Operation: 69-33=36, Resulting Numbers: [6, 97, 36] Generated Node #2: [6, 97, 36] from Operation: 69-33=36 Current State: 91:[6, 97, 36], Operations: ['69-33=36'] Exploring Operation: 36/6=6, Resulting Numbers: [97, 6] Generated Node #3: [97, 6] from Operation: 36/6=6 Current State: 91:[97, 6], Operations: ['69-33=36', '36/6=6'] Exploring Operation: 97-6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 41, 23, 1, 43 ]
47
[ "43-41=2", "23*2=46", "1+46=47" ]
Current State: 47:[41, 23, 1, 43], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [23, 1, 2] Generated Node #2: [23, 1, 2] from Operation: 43-41=2 Current State: 47:[23, 1, 2], Operations: ['43-41=2'] Exploring Operation: 23*2=46, Resulting Numbers: [1, 46] Generated Node #3: [1, 46] from Operation: 23*2=46 Current State: 47:[1, 46], Operations: ['43-41=2', '23*2=46'] Exploring Operation: 1+46=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 26, 48, 2, 46 ]
34
[ "48-26=22", "46+22=68", "68/2=34" ]
Current State: 34:[26, 48, 2, 46], Operations: [] Exploring Operation: 48-26=22, Resulting Numbers: [2, 46, 22] Generated Node #2: [2, 46, 22] from Operation: 48-26=22 Current State: 34:[2, 46, 22], Operations: ['48-26=22'] Exploring Operation: 46+22=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 46+22=68 Current State: 34:[2, 68], Operations: ['48-26=22', '46+22=68'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 22, 98, 2, 37 ]
81
[ "22+98=120", "2+37=39", "120-39=81" ]
Current State: 81:[22, 98, 2, 37], Operations: [] Exploring Operation: 22+98=120, Resulting Numbers: [2, 37, 120] Generated Node #2: [2, 37, 120] from Operation: 22+98=120 Current State: 81:[2, 37, 120], Operations: ['22+98=120'] Exploring Operation: 2+37=39, Resulting Numbers: [120, 39] Generated Node #3: [120, 39] from Operation: 2+37=39 Current State: 81:[120, 39], Operations: ['22+98=120', '2+37=39'] Exploring Operation: 120-39=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 63, 23, 14, 54 ]
46
[ "63+23=86", "54-14=40", "86-40=46" ]
Current State: 46:[63, 23, 14, 54], Operations: [] Exploring Operation: 63+23=86, Resulting Numbers: [14, 54, 86] Generated Node #2: [14, 54, 86] from Operation: 63+23=86 Current State: 46:[14, 54, 86], Operations: ['63+23=86'] Exploring Operation: 54-14=40, Resulting Numbers: [86, 40] Generated Node #3: [86, 40] from Operation: 54-14=40 Current State: 46:[86, 40], Operations: ['63+23=86', '54-14=40'] Exploring Operation: 86-40=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 87, 3, 29, 90 ]
31
[ "87/29=3", "3+90=93", "93/3=31" ]
Current State: 31:[87, 3, 29, 90], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [3, 90, 3] Generated Node #2: [3, 90, 3] from Operation: 87/29=3 Current State: 31:[3, 90, 3], Operations: ['87/29=3'] Exploring Operation: 3+90=93, Resulting Numbers: [93] 93,31 equal: Goal Reached Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 76, 30, 63, 21 ]
86
[ "30*21=630", "630/63=10", "76+10=86" ]
Current State: 86:[76, 30, 63, 21], Operations: [] Exploring Operation: 30*21=630, Resulting Numbers: [76, 63, 630] Generated Node #2: [76, 63, 630] from Operation: 30*21=630 Current State: 86:[76, 63, 630], Operations: ['30*21=630'] Exploring Operation: 630/63=10, Resulting Numbers: [76, 10] Generated Node #3: [76, 10] from Operation: 630/63=10 Current State: 86:[76, 10], Operations: ['30*21=630', '630/63=10'] Exploring Operation: 76+10=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 68, 20, 20, 11 ]
28
[ "68+20=88", "88/11=8", "20+8=28" ]
Current State: 28:[68, 20, 20, 11], Operations: [] Exploring Operation: 68+20=88, Resulting Numbers: [11, 88] Generated Node #2: [11, 88] from Operation: 68+20=88 Current State: 28:[11, 88], Operations: ['68+20=88'] Exploring Operation: 88/11=8, Resulting Numbers: [8] 8,28 equal: Goal Reached Exploring Operation: 20+8=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 50, 15, 48, 33 ]
50
[ "50+15=65", "48-33=15", "65-15=50" ]
Current State: 50:[50, 15, 48, 33], Operations: [] Exploring Operation: 50+15=65, Resulting Numbers: [48, 33, 65] Generated Node #2: [48, 33, 65] from Operation: 50+15=65 Current State: 50:[48, 33, 65], Operations: ['50+15=65'] Exploring Operation: 48-33=15, Resulting Numbers: [65, 15] Generated Node #3: [65, 15] from Operation: 48-33=15 Current State: 50:[65, 15], Operations: ['50+15=65', '48-33=15'] Exploring Operation: 65-15=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 73, 2, 54, 7 ]
13
[ "73-54=19", "7+19=26", "26/2=13" ]
Current State: 13:[73, 2, 54, 7], Operations: [] Exploring Operation: 73-54=19, Resulting Numbers: [2, 7, 19] Generated Node #2: [2, 7, 19] from Operation: 73-54=19 Current State: 13:[2, 7, 19], Operations: ['73-54=19'] Exploring Operation: 7+19=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 7+19=26 Current State: 13:[2, 26], Operations: ['73-54=19', '7+19=26'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 56, 6, 3, 47 ]
94
[ "56-6=50", "47-3=44", "50+44=94" ]
Current State: 94:[56, 6, 3, 47], Operations: [] Exploring Operation: 56-6=50, Resulting Numbers: [3, 47, 50] Generated Node #2: [3, 47, 50] from Operation: 56-6=50 Current State: 94:[3, 47, 50], Operations: ['56-6=50'] Exploring Operation: 47-3=44, Resulting Numbers: [50, 44] Generated Node #3: [50, 44] from Operation: 47-3=44 Current State: 94:[50, 44], Operations: ['56-6=50', '47-3=44'] Exploring Operation: 50+44=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 56, 53, 72, 21 ]
48
[ "56-53=3", "72-21=51", "51-3=48" ]
Current State: 48:[56, 53, 72, 21], Operations: [] Exploring Operation: 56-53=3, Resulting Numbers: [72, 21, 3] Generated Node #2: [72, 21, 3] from Operation: 56-53=3 Current State: 48:[72, 21, 3], Operations: ['56-53=3'] Exploring Operation: 72-21=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 72-21=51 Current State: 48:[3, 51], Operations: ['56-53=3', '72-21=51'] Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 46, 66, 38, 78 ]
72
[ "46+66=112", "78-38=40", "112-40=72" ]
Current State: 72:[46, 66, 38, 78], Operations: [] Exploring Operation: 46+66=112, Resulting Numbers: [38, 78, 112] Generated Node #2: [38, 78, 112] from Operation: 46+66=112 Current State: 72:[38, 78, 112], Operations: ['46+66=112'] Exploring Operation: 78-38=40, Resulting Numbers: [112, 40] Generated Node #3: [112, 40] from Operation: 78-38=40 Current State: 72:[112, 40], Operations: ['46+66=112', '78-38=40'] Exploring Operation: 112-40=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 36, 8, 56, 97 ]
13
[ "36-8=28", "97-56=41", "41-28=13" ]
Current State: 13:[36, 8, 56, 97], Operations: [] Exploring Operation: 36-8=28, Resulting Numbers: [56, 97, 28] Generated Node #2: [56, 97, 28] from Operation: 36-8=28 Current State: 13:[56, 97, 28], Operations: ['36-8=28'] Exploring Operation: 97-56=41, Resulting Numbers: [28, 41] Generated Node #3: [28, 41] from Operation: 97-56=41 Current State: 13:[28, 41], Operations: ['36-8=28', '97-56=41'] Exploring Operation: 41-28=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 1, 61, 35, 68 ]
59
[ "35-1=34", "68/34=2", "61-2=59" ]
Current State: 59:[1, 61, 35, 68], Operations: [] Exploring Operation: 35-1=34, Resulting Numbers: [61, 68, 34] Generated Node #2: [61, 68, 34] from Operation: 35-1=34 Current State: 59:[61, 68, 34], Operations: ['35-1=34'] Exploring Operation: 68/34=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 68/34=2 Current State: 59:[61, 2], Operations: ['35-1=34', '68/34=2'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 60, 9, 16, 10 ]
75
[ "60+9=69", "16-10=6", "69+6=75" ]
Current State: 75:[60, 9, 16, 10], Operations: [] Exploring Operation: 60+9=69, Resulting Numbers: [16, 10, 69] Generated Node #2: [16, 10, 69] from Operation: 60+9=69 Current State: 75:[16, 10, 69], Operations: ['60+9=69'] Exploring Operation: 16-10=6, Resulting Numbers: [69, 6] Generated Node #3: [69, 6] from Operation: 16-10=6 Current State: 75:[69, 6], Operations: ['60+9=69', '16-10=6'] Exploring Operation: 69+6=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 32, 9, 31, 94 ]
40
[ "32-9=23", "94-31=63", "63-23=40" ]
Current State: 40:[32, 9, 31, 94], Operations: [] Exploring Operation: 32-9=23, Resulting Numbers: [31, 94, 23] Generated Node #2: [31, 94, 23] from Operation: 32-9=23 Current State: 40:[31, 94, 23], Operations: ['32-9=23'] Exploring Operation: 94-31=63, Resulting Numbers: [23, 63] Generated Node #3: [23, 63] from Operation: 94-31=63 Current State: 40:[23, 63], Operations: ['32-9=23', '94-31=63'] Exploring Operation: 63-23=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 32, 68, 95, 76 ]
28
[ "32*95=3040", "3040/76=40", "68-40=28" ]
Current State: 28:[32, 68, 95, 76], Operations: [] Exploring Operation: 32*95=3040, Resulting Numbers: [68, 76, 3040] Generated Node #2: [68, 76, 3040] from Operation: 32*95=3040 Current State: 28:[68, 76, 3040], Operations: ['32*95=3040'] Exploring Operation: 3040/76=40, Resulting Numbers: [68, 40] Generated Node #3: [68, 40] from Operation: 3040/76=40 Current State: 28:[68, 40], Operations: ['32*95=3040', '3040/76=40'] Exploring Operation: 68-40=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 20, 37, 36, 88 ]
68
[ "88-20=68", "37-36=1", "68*1=68" ]
Current State: 68:[20, 37, 36, 88], Operations: [] Exploring Operation: 88-20=68, Resulting Numbers: [37, 36, 68] Generated Node #2: [37, 36, 68] from Operation: 88-20=68 Current State: 68:[37, 36, 68], Operations: ['88-20=68'] Exploring Operation: 37-36=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 37-36=1 Current State: 68:[68, 1], Operations: ['88-20=68', '37-36=1'] Exploring Operation: 68*1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 37, 35, 28, 17 ]
16
[ "37-17=20", "28*20=560", "560/35=16" ]
Current State: 16:[37, 35, 28, 17], Operations: [] Exploring Operation: 37-17=20, Resulting Numbers: [35, 28, 20] Generated Node #2: [35, 28, 20] from Operation: 37-17=20 Current State: 16:[35, 28, 20], Operations: ['37-17=20'] Exploring Operation: 28*20=560, Resulting Numbers: [35, 560] Generated Node #3: [35, 560] from Operation: 28*20=560 Current State: 16:[35, 560], Operations: ['37-17=20', '28*20=560'] Exploring Operation: 560/35=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 14, 41, 95, 13 ]
12
[ "95-13=82", "82/41=2", "14-2=12" ]
Current State: 12:[14, 41, 95, 13], Operations: [] Exploring Operation: 95-13=82, Resulting Numbers: [14, 41, 82] Generated Node #2: [14, 41, 82] from Operation: 95-13=82 Current State: 12:[14, 41, 82], Operations: ['95-13=82'] Exploring Operation: 82/41=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 82/41=2 Current State: 12:[14, 2], Operations: ['95-13=82', '82/41=2'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 37, 85, 41, 35 ]
22
[ "37-35=2", "85-41=44", "44/2=22" ]
Current State: 22:[37, 85, 41, 35], Operations: [] Exploring Operation: 37-35=2, Resulting Numbers: [85, 41, 2] Generated Node #2: [85, 41, 2] from Operation: 37-35=2 Current State: 22:[85, 41, 2], Operations: ['37-35=2'] Exploring Operation: 85-41=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 85-41=44 Current State: 22:[2, 44], Operations: ['37-35=2', '85-41=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 42, 2, 50, 4 ]
31
[ "42-4=38", "38/2=19", "50-19=31" ]
Current State: 31:[42, 2, 50, 4], Operations: [] Exploring Operation: 42-4=38, Resulting Numbers: [2, 50, 38] Generated Node #2: [2, 50, 38] from Operation: 42-4=38 Current State: 31:[2, 50, 38], Operations: ['42-4=38'] Exploring Operation: 38/2=19, Resulting Numbers: [50, 19] Generated Node #3: [50, 19] from Operation: 38/2=19 Current State: 31:[50, 19], Operations: ['42-4=38', '38/2=19'] Exploring Operation: 50-19=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 57, 2, 43, 93 ]
81
[ "57-2=55", "43+93=136", "136-55=81" ]
Current State: 81:[57, 2, 43, 93], Operations: [] Exploring Operation: 57-2=55, Resulting Numbers: [43, 93, 55] Generated Node #2: [43, 93, 55] from Operation: 57-2=55 Current State: 81:[43, 93, 55], Operations: ['57-2=55'] Exploring Operation: 43+93=136, Resulting Numbers: [55, 136] Generated Node #3: [55, 136] from Operation: 43+93=136 Current State: 81:[55, 136], Operations: ['57-2=55', '43+93=136'] Exploring Operation: 136-55=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 65, 12, 87, 17 ]
91
[ "65-17=48", "48/12=4", "87+4=91" ]
Current State: 91:[65, 12, 87, 17], Operations: [] Exploring Operation: 65-17=48, Resulting Numbers: [12, 87, 48] Generated Node #2: [12, 87, 48] from Operation: 65-17=48 Current State: 91:[12, 87, 48], Operations: ['65-17=48'] Exploring Operation: 48/12=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 48/12=4 Current State: 91:[87, 4], Operations: ['65-17=48', '48/12=4'] Exploring Operation: 87+4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 18, 15, 6, 29 ]
32
[ "18-15=3", "6+29=35", "35-3=32" ]
Current State: 32:[18, 15, 6, 29], Operations: [] Exploring Operation: 18-15=3, Resulting Numbers: [6, 29, 3] Generated Node #2: [6, 29, 3] from Operation: 18-15=3 Current State: 32:[6, 29, 3], Operations: ['18-15=3'] Exploring Operation: 6+29=35, Resulting Numbers: [3, 35] Generated Node #3: [3, 35] from Operation: 6+29=35 Current State: 32:[3, 35], Operations: ['18-15=3', '6+29=35'] Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 36, 23, 46, 32 ]
94
[ "36*32=1152", "23*46=1058", "1152-1058=94" ]
Current State: 94:[36, 23, 46, 32], Operations: [] Exploring Operation: 36*32=1152, Resulting Numbers: [23, 46, 1152] Generated Node #2: [23, 46, 1152] from Operation: 36*32=1152 Current State: 94:[23, 46, 1152], Operations: ['36*32=1152'] Exploring Operation: 23*46=1058, Resulting Numbers: [1152, 1058] Generated Node #3: [1152, 1058] from Operation: 23*46=1058 Current State: 94:[1152, 1058], Operations: ['36*32=1152', '23*46=1058'] Exploring Operation: 1152-1058=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 12, 89, 32, 3 ]
21
[ "12*3=36", "89-32=57", "57-36=21" ]
Current State: 21:[12, 89, 32, 3], Operations: [] Exploring Operation: 12*3=36, Resulting Numbers: [89, 32, 36] Generated Node #2: [89, 32, 36] from Operation: 12*3=36 Current State: 21:[89, 32, 36], Operations: ['12*3=36'] Exploring Operation: 89-32=57, Resulting Numbers: [36, 57] Generated Node #3: [36, 57] from Operation: 89-32=57 Current State: 21:[36, 57], Operations: ['12*3=36', '89-32=57'] Exploring Operation: 57-36=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 18, 25, 49, 13 ]
20
[ "25-18=7", "49/7=7", "13+7=20" ]
Current State: 20:[18, 25, 49, 13], Operations: [] Exploring Operation: 25-18=7, Resulting Numbers: [49, 13, 7] Generated Node #2: [49, 13, 7] from Operation: 25-18=7 Current State: 20:[49, 13, 7], Operations: ['25-18=7'] Exploring Operation: 49/7=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 49/7=7 Current State: 20:[13, 7], Operations: ['25-18=7', '49/7=7'] Exploring Operation: 13+7=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 8, 50, 52, 46 ]
98
[ "52-46=6", "8*6=48", "50+48=98" ]
Current State: 98:[8, 50, 52, 46], Operations: [] Exploring Operation: 52-46=6, Resulting Numbers: [8, 50, 6] Generated Node #2: [8, 50, 6] from Operation: 52-46=6 Current State: 98:[8, 50, 6], Operations: ['52-46=6'] Exploring Operation: 8*6=48, Resulting Numbers: [50, 48] Generated Node #3: [50, 48] from Operation: 8*6=48 Current State: 98:[50, 48], Operations: ['52-46=6', '8*6=48'] Exploring Operation: 50+48=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 11, 64, 55, 71 ]
73
[ "64-11=53", "55+71=126", "126-53=73" ]
Current State: 73:[11, 64, 55, 71], Operations: [] Exploring Operation: 64-11=53, Resulting Numbers: [55, 71, 53] Generated Node #2: [55, 71, 53] from Operation: 64-11=53 Current State: 73:[55, 71, 53], Operations: ['64-11=53'] Exploring Operation: 55+71=126, Resulting Numbers: [53, 126] Generated Node #3: [53, 126] from Operation: 55+71=126 Current State: 73:[53, 126], Operations: ['64-11=53', '55+71=126'] Exploring Operation: 126-53=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 3, 28, 37, 27 ]
34
[ "37-3=34", "28-27=1", "34*1=34" ]
Current State: 34:[3, 28, 37, 27], Operations: [] Exploring Operation: 37-3=34, Resulting Numbers: [28, 27, 34] Generated Node #2: [28, 27, 34] from Operation: 37-3=34 Current State: 34:[28, 27, 34], Operations: ['37-3=34'] Exploring Operation: 28-27=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 28-27=1 Current State: 34:[34, 1], Operations: ['37-3=34', '28-27=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 60, 17, 19, 73 ]
49
[ "60-17=43", "19+73=92", "92-43=49" ]
Current State: 49:[60, 17, 19, 73], Operations: [] Exploring Operation: 60-17=43, Resulting Numbers: [19, 73, 43] Generated Node #2: [19, 73, 43] from Operation: 60-17=43 Current State: 49:[19, 73, 43], Operations: ['60-17=43'] Exploring Operation: 19+73=92, Resulting Numbers: [43, 92] Generated Node #3: [43, 92] from Operation: 19+73=92 Current State: 49:[43, 92], Operations: ['60-17=43', '19+73=92'] Exploring Operation: 92-43=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 29, 40, 39, 2 ]
27
[ "29-2=27", "40-39=1", "27*1=27" ]
Current State: 27:[29, 40, 39, 2], Operations: [] Exploring Operation: 29-2=27, Resulting Numbers: [40, 39, 27] Generated Node #2: [40, 39, 27] from Operation: 29-2=27 Current State: 27:[40, 39, 27], Operations: ['29-2=27'] Exploring Operation: 40-39=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 40-39=1 Current State: 27:[27, 1], Operations: ['29-2=27', '40-39=1'] Exploring Operation: 27*1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 6, 9, 34, 15 ]
69
[ "6*34=204", "9*15=135", "204-135=69" ]
Current State: 69:[6, 9, 34, 15], Operations: [] Exploring Operation: 6*34=204, Resulting Numbers: [9, 15, 204] Generated Node #2: [9, 15, 204] from Operation: 6*34=204 Current State: 69:[9, 15, 204], Operations: ['6*34=204'] Exploring Operation: 9*15=135, Resulting Numbers: [204, 135] Generated Node #3: [204, 135] from Operation: 9*15=135 Current State: 69:[204, 135], Operations: ['6*34=204', '9*15=135'] Exploring Operation: 204-135=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 13, 50, 59, 48 ]
74
[ "13+50=63", "59-48=11", "63+11=74" ]
Current State: 74:[13, 50, 59, 48], Operations: [] Exploring Operation: 13+50=63, Resulting Numbers: [59, 48, 63] Generated Node #2: [59, 48, 63] from Operation: 13+50=63 Current State: 74:[59, 48, 63], Operations: ['13+50=63'] Exploring Operation: 59-48=11, Resulting Numbers: [63, 11] Generated Node #3: [63, 11] from Operation: 59-48=11 Current State: 74:[63, 11], Operations: ['13+50=63', '59-48=11'] Exploring Operation: 63+11=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 29, 90, 76, 30 ]
35
[ "29+76=105", "90/30=3", "105/3=35" ]
Current State: 35:[29, 90, 76, 30], Operations: [] Exploring Operation: 29+76=105, Resulting Numbers: [90, 30, 105] Generated Node #2: [90, 30, 105] from Operation: 29+76=105 Current State: 35:[90, 30, 105], Operations: ['29+76=105'] Exploring Operation: 90/30=3, Resulting Numbers: [105, 3] Generated Node #3: [105, 3] from Operation: 90/30=3 Current State: 35:[105, 3], Operations: ['29+76=105', '90/30=3'] Exploring Operation: 105/3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 65, 43, 67, 66 ]
20
[ "67-65=2", "43*2=86", "86-66=20" ]
Current State: 20:[65, 43, 67, 66], Operations: [] Exploring Operation: 67-65=2, Resulting Numbers: [43, 66, 2] Generated Node #2: [43, 66, 2] from Operation: 67-65=2 Current State: 20:[43, 66, 2], Operations: ['67-65=2'] Exploring Operation: 43*2=86, Resulting Numbers: [66, 86] Generated Node #3: [66, 86] from Operation: 43*2=86 Current State: 20:[66, 86], Operations: ['67-65=2', '43*2=86'] Exploring Operation: 86-66=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 87, 9, 97, 8 ]
76
[ "97-9=88", "88/8=11", "87-11=76" ]
Current State: 76:[87, 9, 97, 8], Operations: [] Exploring Operation: 97-9=88, Resulting Numbers: [87, 8, 88] Generated Node #2: [87, 8, 88] from Operation: 97-9=88 Current State: 76:[87, 8, 88], Operations: ['97-9=88'] Exploring Operation: 88/8=11, Resulting Numbers: [87, 11] Generated Node #3: [87, 11] from Operation: 88/8=11 Current State: 76:[87, 11], Operations: ['97-9=88', '88/8=11'] Exploring Operation: 87-11=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 98, 90, 4, 88 ]
20
[ "98-90=8", "88-8=80", "80/4=20" ]
Current State: 20:[98, 90, 4, 88], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [4, 88, 8] Generated Node #2: [4, 88, 8] from Operation: 98-90=8 Current State: 20:[4, 88, 8], Operations: ['98-90=8'] Exploring Operation: 88-8=80, Resulting Numbers: [4, 80] Generated Node #3: [4, 80] from Operation: 88-8=80 Current State: 20:[4, 80], Operations: ['98-90=8', '88-8=80'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 44, 31, 41, 56 ]
37
[ "44-41=3", "31*3=93", "93-56=37" ]
Current State: 37:[44, 31, 41, 56], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [31, 56, 3] Generated Node #2: [31, 56, 3] from Operation: 44-41=3 Current State: 37:[31, 56, 3], Operations: ['44-41=3'] Exploring Operation: 31*3=93, Resulting Numbers: [56, 93] Generated Node #3: [56, 93] from Operation: 31*3=93 Current State: 37:[56, 93], Operations: ['44-41=3', '31*3=93'] Exploring Operation: 93-56=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 82, 68, 14, 94 ]
34
[ "82+14=96", "96-94=2", "68/2=34" ]
Current State: 34:[82, 68, 14, 94], Operations: [] Exploring Operation: 82+14=96, Resulting Numbers: [68, 94, 96] Generated Node #2: [68, 94, 96] from Operation: 82+14=96 Current State: 34:[68, 94, 96], Operations: ['82+14=96'] Exploring Operation: 96-94=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 96-94=2 Current State: 34:[68, 2], Operations: ['82+14=96', '96-94=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 51, 28, 25, 81 ]
24
[ "28-25=3", "81/3=27", "51-27=24" ]
Current State: 24:[51, 28, 25, 81], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [51, 81, 3] Generated Node #2: [51, 81, 3] from Operation: 28-25=3 Current State: 24:[51, 81, 3], Operations: ['28-25=3'] Exploring Operation: 81/3=27, Resulting Numbers: [51, 27] Generated Node #3: [51, 27] from Operation: 81/3=27 Current State: 24:[51, 27], Operations: ['28-25=3', '81/3=27'] Exploring Operation: 51-27=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 59, 2, 94 ]
71
[ "59-35=24", "94/2=47", "24+47=71" ]
Current State: 71:[35, 59, 2, 94], Operations: [] Exploring Operation: 59-35=24, Resulting Numbers: [2, 94, 24] Generated Node #2: [2, 94, 24] from Operation: 59-35=24 Current State: 71:[2, 94, 24], Operations: ['59-35=24'] Exploring Operation: 94/2=47, Resulting Numbers: [24, 47] Generated Node #3: [24, 47] from Operation: 94/2=47 Current State: 71:[24, 47], Operations: ['59-35=24', '94/2=47'] Exploring Operation: 24+47=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 91, 20, 11, 42 ]
87
[ "91+42=133", "20*11=220", "220-133=87" ]
Current State: 87:[91, 20, 11, 42], Operations: [] Exploring Operation: 91+42=133, Resulting Numbers: [20, 11, 133] Generated Node #2: [20, 11, 133] from Operation: 91+42=133 Current State: 87:[20, 11, 133], Operations: ['91+42=133'] Exploring Operation: 20*11=220, Resulting Numbers: [133, 220] Generated Node #3: [133, 220] from Operation: 20*11=220 Current State: 87:[133, 220], Operations: ['91+42=133', '20*11=220'] Exploring Operation: 220-133=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 76, 56, 34, 32 ]
22
[ "76-56=20", "34-32=2", "20+2=22" ]
Current State: 22:[76, 56, 34, 32], Operations: [] Exploring Operation: 76-56=20, Resulting Numbers: [34, 32, 20] Generated Node #2: [34, 32, 20] from Operation: 76-56=20 Current State: 22:[34, 32, 20], Operations: ['76-56=20'] Exploring Operation: 34-32=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 34-32=2 Current State: 22:[20, 2], Operations: ['76-56=20', '34-32=2'] Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 33, 69, 21, 67 ]
24
[ "33-21=12", "69-67=2", "12*2=24" ]
Current State: 24:[33, 69, 21, 67], Operations: [] Exploring Operation: 33-21=12, Resulting Numbers: [69, 67, 12] Generated Node #2: [69, 67, 12] from Operation: 33-21=12 Current State: 24:[69, 67, 12], Operations: ['33-21=12'] Exploring Operation: 69-67=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 69-67=2 Current State: 24:[12, 2], Operations: ['33-21=12', '69-67=2'] Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 68, 7, 3 ]
30
[ "35*3=105", "68+7=75", "105-75=30" ]
Current State: 30:[35, 68, 7, 3], Operations: [] Exploring Operation: 35*3=105, Resulting Numbers: [68, 7, 105] Generated Node #2: [68, 7, 105] from Operation: 35*3=105 Current State: 30:[68, 7, 105], Operations: ['35*3=105'] Exploring Operation: 68+7=75, Resulting Numbers: [105, 75] Generated Node #3: [105, 75] from Operation: 68+7=75 Current State: 30:[105, 75], Operations: ['35*3=105', '68+7=75'] Exploring Operation: 105-75=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 30, 35, 75, 90 ]
12
[ "35*90=3150", "3150/75=42", "42-30=12" ]
Current State: 12:[30, 35, 75, 90], Operations: [] Exploring Operation: 35*90=3150, Resulting Numbers: [30, 75, 3150] Generated Node #2: [30, 75, 3150] from Operation: 35*90=3150 Current State: 12:[30, 75, 3150], Operations: ['35*90=3150'] Exploring Operation: 3150/75=42, Resulting Numbers: [30, 42] Generated Node #3: [30, 42] from Operation: 3150/75=42 Current State: 12:[30, 42], Operations: ['35*90=3150', '3150/75=42'] Exploring Operation: 42-30=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 49, 74, 77, 79 ]
99
[ "79-77=2", "74*2=148", "148-49=99" ]
Current State: 99:[49, 74, 77, 79], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [49, 74, 2] Generated Node #2: [49, 74, 2] from Operation: 79-77=2 Current State: 99:[49, 74, 2], Operations: ['79-77=2'] Exploring Operation: 74*2=148, Resulting Numbers: [49, 148] Generated Node #3: [49, 148] from Operation: 74*2=148 Current State: 99:[49, 148], Operations: ['79-77=2', '74*2=148'] Exploring Operation: 148-49=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 42, 14, 11, 57 ]
90
[ "42/14=3", "11*3=33", "57+33=90" ]
Current State: 90:[42, 14, 11, 57], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [11, 57, 3] Generated Node #2: [11, 57, 3] from Operation: 42/14=3 Current State: 90:[11, 57, 3], Operations: ['42/14=3'] Exploring Operation: 11*3=33, Resulting Numbers: [57, 33] Generated Node #3: [57, 33] from Operation: 11*3=33 Current State: 90:[57, 33], Operations: ['42/14=3', '11*3=33'] Exploring Operation: 57+33=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 54, 84, 32, 6 ]
72
[ "54+32=86", "84/6=14", "86-14=72" ]
Current State: 72:[54, 84, 32, 6], Operations: [] Exploring Operation: 54+32=86, Resulting Numbers: [84, 6, 86] Generated Node #2: [84, 6, 86] from Operation: 54+32=86 Current State: 72:[84, 6, 86], Operations: ['54+32=86'] Exploring Operation: 84/6=14, Resulting Numbers: [86, 14] Generated Node #3: [86, 14] from Operation: 84/6=14 Current State: 72:[86, 14], Operations: ['54+32=86', '84/6=14'] Exploring Operation: 86-14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 43, 22, 24, 1 ]
26
[ "43+1=44", "44/22=2", "24+2=26" ]
Current State: 26:[43, 22, 24, 1], Operations: [] Exploring Operation: 43+1=44, Resulting Numbers: [22, 24, 44] Generated Node #2: [22, 24, 44] from Operation: 43+1=44 Current State: 26:[22, 24, 44], Operations: ['43+1=44'] Exploring Operation: 44/22=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 44/22=2 Current State: 26:[24, 2], Operations: ['43+1=44', '44/22=2'] Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 27, 54, 47, 3 ]
37
[ "27+54=81", "47-3=44", "81-44=37" ]
Current State: 37:[27, 54, 47, 3], Operations: [] Exploring Operation: 27+54=81, Resulting Numbers: [47, 3, 81] Generated Node #2: [47, 3, 81] from Operation: 27+54=81 Current State: 37:[47, 3, 81], Operations: ['27+54=81'] Exploring Operation: 47-3=44, Resulting Numbers: [81, 44] Generated Node #3: [81, 44] from Operation: 47-3=44 Current State: 37:[81, 44], Operations: ['27+54=81', '47-3=44'] Exploring Operation: 81-44=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 71, 28, 54, 30 ]
67
[ "71-28=43", "54-30=24", "43+24=67" ]
Current State: 67:[71, 28, 54, 30], Operations: [] Exploring Operation: 71-28=43, Resulting Numbers: [54, 30, 43] Generated Node #2: [54, 30, 43] from Operation: 71-28=43 Current State: 67:[54, 30, 43], Operations: ['71-28=43'] Exploring Operation: 54-30=24, Resulting Numbers: [43, 24] Generated Node #3: [43, 24] from Operation: 54-30=24 Current State: 67:[43, 24], Operations: ['71-28=43', '54-30=24'] Exploring Operation: 43+24=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 20, 39, 54, 27 ]
86
[ "20+39=59", "54-27=27", "59+27=86" ]
Current State: 86:[20, 39, 54, 27], Operations: [] Exploring Operation: 20+39=59, Resulting Numbers: [54, 27, 59] Generated Node #2: [54, 27, 59] from Operation: 20+39=59 Current State: 86:[54, 27, 59], Operations: ['20+39=59'] Exploring Operation: 54-27=27, Resulting Numbers: [59, 27] Generated Node #3: [59, 27] from Operation: 54-27=27 Current State: 86:[59, 27], Operations: ['20+39=59', '54-27=27'] Exploring Operation: 59+27=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 74, 72, 5, 20 ]
45
[ "74-72=2", "20*2=40", "5+40=45" ]
Current State: 45:[74, 72, 5, 20], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [5, 20, 2] Generated Node #2: [5, 20, 2] from Operation: 74-72=2 Current State: 45:[5, 20, 2], Operations: ['74-72=2'] Exploring Operation: 20*2=40, Resulting Numbers: [5, 40] Generated Node #3: [5, 40] from Operation: 20*2=40 Current State: 45:[5, 40], Operations: ['74-72=2', '20*2=40'] Exploring Operation: 5+40=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 2, 88, 21, 14 ]
32
[ "2*21=42", "88-14=74", "74-42=32" ]
Current State: 32:[2, 88, 21, 14], Operations: [] Exploring Operation: 2*21=42, Resulting Numbers: [88, 14, 42] Generated Node #2: [88, 14, 42] from Operation: 2*21=42 Current State: 32:[88, 14, 42], Operations: ['2*21=42'] Exploring Operation: 88-14=74, Resulting Numbers: [42, 74] Generated Node #3: [42, 74] from Operation: 88-14=74 Current State: 32:[42, 74], Operations: ['2*21=42', '88-14=74'] Exploring Operation: 74-42=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 61, 5, 14, 20 ]
53
[ "61-14=47", "5*20=100", "100-47=53" ]
Current State: 53:[61, 5, 14, 20], Operations: [] Exploring Operation: 61-14=47, Resulting Numbers: [5, 20, 47] Generated Node #2: [5, 20, 47] from Operation: 61-14=47 Current State: 53:[5, 20, 47], Operations: ['61-14=47'] Exploring Operation: 5*20=100, Resulting Numbers: [47, 100] Generated Node #3: [47, 100] from Operation: 5*20=100 Current State: 53:[47, 100], Operations: ['61-14=47', '5*20=100'] Exploring Operation: 100-47=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 31, 62, 85, 47 ]
19
[ "62/31=2", "85-47=38", "38/2=19" ]
Current State: 19:[31, 62, 85, 47], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [85, 47, 2] Generated Node #2: [85, 47, 2] from Operation: 62/31=2 Current State: 19:[85, 47, 2], Operations: ['62/31=2'] Exploring Operation: 85-47=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 85-47=38 Current State: 19:[2, 38], Operations: ['62/31=2', '85-47=38'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 76, 18, 12, 91 ]
21
[ "76-18=58", "91-12=79", "79-58=21" ]
Current State: 21:[76, 18, 12, 91], Operations: [] Exploring Operation: 76-18=58, Resulting Numbers: [12, 91, 58] Generated Node #2: [12, 91, 58] from Operation: 76-18=58 Current State: 21:[12, 91, 58], Operations: ['76-18=58'] Exploring Operation: 91-12=79, Resulting Numbers: [58, 79] Generated Node #3: [58, 79] from Operation: 91-12=79 Current State: 21:[58, 79], Operations: ['76-18=58', '91-12=79'] Exploring Operation: 79-58=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 10, 53, 91, 30 ]
41
[ "30/10=3", "91-53=38", "3+38=41" ]
Current State: 41:[10, 53, 91, 30], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [53, 91, 3] Generated Node #2: [53, 91, 3] from Operation: 30/10=3 Current State: 41:[53, 91, 3], Operations: ['30/10=3'] Exploring Operation: 91-53=38, Resulting Numbers: [3, 38] Generated Node #3: [3, 38] from Operation: 91-53=38 Current State: 41:[3, 38], Operations: ['30/10=3', '91-53=38'] Exploring Operation: 3+38=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 17, 33, 71, 34 ]
36
[ "34/17=2", "71-33=38", "38-2=36" ]
Current State: 36:[17, 33, 71, 34], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [33, 71, 2] Generated Node #2: [33, 71, 2] from Operation: 34/17=2 Current State: 36:[33, 71, 2], Operations: ['34/17=2'] Exploring Operation: 71-33=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 71-33=38 Current State: 36:[2, 38], Operations: ['34/17=2', '71-33=38'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 56, 48, 26, 16 ]
39
[ "56+16=72", "26*72=1872", "1872/48=39" ]
Current State: 39:[56, 48, 26, 16], Operations: [] Exploring Operation: 56+16=72, Resulting Numbers: [48, 26, 72] Generated Node #2: [48, 26, 72] from Operation: 56+16=72 Current State: 39:[48, 26, 72], Operations: ['56+16=72'] Exploring Operation: 26*72=1872, Resulting Numbers: [48, 1872] Generated Node #3: [48, 1872] from Operation: 26*72=1872 Current State: 39:[48, 1872], Operations: ['56+16=72', '26*72=1872'] Exploring Operation: 1872/48=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 40, 73, 66, 72 ]
39
[ "73-40=33", "72-66=6", "33+6=39" ]
Current State: 39:[40, 73, 66, 72], Operations: [] Exploring Operation: 73-40=33, Resulting Numbers: [66, 72, 33] Generated Node #2: [66, 72, 33] from Operation: 73-40=33 Current State: 39:[66, 72, 33], Operations: ['73-40=33'] Exploring Operation: 72-66=6, Resulting Numbers: [33, 6] Generated Node #3: [33, 6] from Operation: 72-66=6 Current State: 39:[33, 6], Operations: ['73-40=33', '72-66=6'] Exploring Operation: 33+6=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 66, 49, 68, 65 ]
57
[ "68-66=2", "49+65=114", "114/2=57" ]
Current State: 57:[66, 49, 68, 65], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [49, 65, 2] Generated Node #2: [49, 65, 2] from Operation: 68-66=2 Current State: 57:[49, 65, 2], Operations: ['68-66=2'] Exploring Operation: 49+65=114, Resulting Numbers: [2, 114] Generated Node #3: [2, 114] from Operation: 49+65=114 Current State: 57:[2, 114], Operations: ['68-66=2', '49+65=114'] Exploring Operation: 114/2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 18, 86, 65, 42 ]
36
[ "18*42=756", "86-65=21", "756/21=36" ]
Current State: 36:[18, 86, 65, 42], Operations: [] Exploring Operation: 18*42=756, Resulting Numbers: [86, 65, 756] Generated Node #2: [86, 65, 756] from Operation: 18*42=756 Current State: 36:[86, 65, 756], Operations: ['18*42=756'] Exploring Operation: 86-65=21, Resulting Numbers: [756, 21] Generated Node #3: [756, 21] from Operation: 86-65=21 Current State: 36:[756, 21], Operations: ['18*42=756', '86-65=21'] Exploring Operation: 756/21=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 51, 1, 2, 52 ]
77
[ "51*1=51", "52/2=26", "51+26=77" ]
Current State: 77:[51, 1, 2, 52], Operations: [] Exploring Operation: 51*1=51, Resulting Numbers: [2, 52, 51] Generated Node #2: [2, 52, 51] from Operation: 51*1=51 Current State: 77:[2, 52, 51], Operations: ['51*1=51'] Exploring Operation: 52/2=26, Resulting Numbers: [51, 26] Generated Node #3: [51, 26] from Operation: 52/2=26 Current State: 77:[51, 26], Operations: ['51*1=51', '52/2=26'] Exploring Operation: 51+26=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 25, 86, 12, 12 ]
87
[ "25+86=111", "12+12=24", "111-24=87" ]
Current State: 87:[25, 86, 12, 12], Operations: [] Exploring Operation: 25+86=111, Resulting Numbers: [12, 12, 111] Generated Node #2: [12, 12, 111] from Operation: 25+86=111 Current State: 87:[12, 12, 111], Operations: ['25+86=111'] Exploring Operation: 12+12=24, Resulting Numbers: [111, 24] Generated Node #3: [111, 24] from Operation: 12+12=24 Current State: 87:[111, 24], Operations: ['25+86=111', '12+12=24'] Exploring Operation: 111-24=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 14, 20, 18, 41 ]
44
[ "20-14=6", "18/6=3", "41+3=44" ]
Current State: 44:[14, 20, 18, 41], Operations: [] Exploring Operation: 20-14=6, Resulting Numbers: [18, 41, 6] Generated Node #2: [18, 41, 6] from Operation: 20-14=6 Current State: 44:[18, 41, 6], Operations: ['20-14=6'] Exploring Operation: 18/6=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 18/6=3 Current State: 44:[41, 3], Operations: ['20-14=6', '18/6=3'] Exploring Operation: 41+3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 5, 38, 64, 32 ]
28
[ "5*64=320", "320/32=10", "38-10=28" ]
Current State: 28:[5, 38, 64, 32], Operations: [] Exploring Operation: 5*64=320, Resulting Numbers: [38, 32, 320] Generated Node #2: [38, 32, 320] from Operation: 5*64=320 Current State: 28:[38, 32, 320], Operations: ['5*64=320'] Exploring Operation: 320/32=10, Resulting Numbers: [38, 10] Generated Node #3: [38, 10] from Operation: 320/32=10 Current State: 28:[38, 10], Operations: ['5*64=320', '320/32=10'] Exploring Operation: 38-10=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 19, 15, 25, 27 ]
53
[ "27-25=2", "19*2=38", "15+38=53" ]
Current State: 53:[19, 15, 25, 27], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [19, 15, 2] Generated Node #2: [19, 15, 2] from Operation: 27-25=2 Current State: 53:[19, 15, 2], Operations: ['27-25=2'] Exploring Operation: 19*2=38, Resulting Numbers: [15, 38] Generated Node #3: [15, 38] from Operation: 19*2=38 Current State: 53:[15, 38], Operations: ['27-25=2', '19*2=38'] Exploring Operation: 15+38=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 3, 71, 87, 54 ]
67
[ "3+71=74", "87+54=141", "141-74=67" ]
Current State: 67:[3, 71, 87, 54], Operations: [] Exploring Operation: 3+71=74, Resulting Numbers: [87, 54, 74] Generated Node #2: [87, 54, 74] from Operation: 3+71=74 Current State: 67:[87, 54, 74], Operations: ['3+71=74'] Exploring Operation: 87+54=141, Resulting Numbers: [74, 141] Generated Node #3: [74, 141] from Operation: 87+54=141 Current State: 67:[74, 141], Operations: ['3+71=74', '87+54=141'] Exploring Operation: 141-74=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 44, 61, 50, 48 ]
27
[ "50-48=2", "44*2=88", "88-61=27" ]
Current State: 27:[44, 61, 50, 48], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [44, 61, 2] Generated Node #2: [44, 61, 2] from Operation: 50-48=2 Current State: 27:[44, 61, 2], Operations: ['50-48=2'] Exploring Operation: 44*2=88, Resulting Numbers: [61, 88] Generated Node #3: [61, 88] from Operation: 44*2=88 Current State: 27:[61, 88], Operations: ['50-48=2', '44*2=88'] Exploring Operation: 88-61=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 3, 22, 26, 84 ]
11
[ "84/3=28", "28-26=2", "22/2=11" ]
Current State: 11:[3, 22, 26, 84], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [22, 26, 28] Generated Node #2: [22, 26, 28] from Operation: 84/3=28 Current State: 11:[22, 26, 28], Operations: ['84/3=28'] Exploring Operation: 28-26=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 28-26=2 Current State: 11:[22, 2], Operations: ['84/3=28', '28-26=2'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 72, 20, 63, 59 ]
67
[ "63-59=4", "20/4=5", "72-5=67" ]
Current State: 67:[72, 20, 63, 59], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [72, 20, 4] Generated Node #2: [72, 20, 4] from Operation: 63-59=4 Current State: 67:[72, 20, 4], Operations: ['63-59=4'] Exploring Operation: 20/4=5, Resulting Numbers: [72, 5] Generated Node #3: [72, 5] from Operation: 20/4=5 Current State: 67:[72, 5], Operations: ['63-59=4', '20/4=5'] Exploring Operation: 72-5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4