Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 39, 74, 73, 21 ]
32
[ "74+73=147", "147/21=7", "39-7=32" ]
Current State: 32:[39, 74, 73, 21], Operations: [] Exploring Operation: 74+73=147, Resulting Numbers: [39, 21, 147] Generated Node #2: [39, 21, 147] from Operation: 74+73=147 Current State: 32:[39, 21, 147], Operations: ['74+73=147'] Exploring Operation: 147/21=7, Resulting Numbers: [39, 7] Generated Node #3: [39, 7] from Operation: 147/21=7 Current State: 32:[39, 7], Operations: ['74+73=147', '147/21=7'] Exploring Operation: 39-7=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 41, 1, 93, 27 ]
79
[ "41*1=41", "93+27=120", "120-41=79" ]
Current State: 79:[41, 1, 93, 27], Operations: [] Exploring Operation: 41*1=41, Resulting Numbers: [93, 27, 41] Generated Node #2: [93, 27, 41] from Operation: 41*1=41 Current State: 79:[93, 27, 41], Operations: ['41*1=41'] Exploring Operation: 93+27=120, Resulting Numbers: [41, 120] Generated Node #3: [41, 120] from Operation: 93+27=120 Current State: 79:[41, 120], Operations: ['41*1=41', '93+27=120'] Exploring Operation: 120-41=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 90, 45, 27, 48 ]
81
[ "90-45=45", "48-45=3", "27*3=81" ]
Current State: 81:[90, 45, 27, 48], Operations: [] Exploring Operation: 90-45=45, Resulting Numbers: [27, 48, 45] Generated Node #2: [27, 48, 45] from Operation: 90-45=45 Current State: 81:[27, 48, 45], Operations: ['90-45=45'] Exploring Operation: 48-45=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 48-45=3 Current State: 81:[27, 3], Operations: ['90-45=45', '48-45=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 79, 19, 69, 46 ]
40
[ "79-19=60", "46*60=2760", "2760/69=40" ]
Current State: 40:[79, 19, 69, 46], Operations: [] Exploring Operation: 79-19=60, Resulting Numbers: [69, 46, 60] Generated Node #2: [69, 46, 60] from Operation: 79-19=60 Current State: 40:[69, 46, 60], Operations: ['79-19=60'] Exploring Operation: 46*60=2760, Resulting Numbers: [69, 2760] Generated Node #3: [69, 2760] from Operation: 46*60=2760 Current State: 40:[69, 2760], Operations: ['79-19=60', '46*60=2760'] Exploring Operation: 2760/69=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 32, 64, 66, 66 ]
96
[ "32+64=96", "66-66=0", "96+0=96" ]
Current State: 96:[32, 64, 66, 66], Operations: [] Exploring Operation: 32+64=96, Resulting Numbers: [66, 66, 96] Generated Node #2: [66, 66, 96] from Operation: 32+64=96 Current State: 96:[66, 66, 96], Operations: ['32+64=96'] Exploring Operation: 66-66=0, Resulting Numbers: [96, 0] Generated Node #3: [96, 0] from Operation: 66-66=0 Current State: 96:[96, 0], Operations: ['32+64=96', '66-66=0'] Exploring Operation: 96+0=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 6, 10, 39, 8 ]
78
[ "6+10=16", "39*16=624", "624/8=78" ]
Current State: 78:[6, 10, 39, 8], Operations: [] Exploring Operation: 6+10=16, Resulting Numbers: [39, 8, 16] Generated Node #2: [39, 8, 16] from Operation: 6+10=16 Current State: 78:[39, 8, 16], Operations: ['6+10=16'] Exploring Operation: 39*16=624, Resulting Numbers: [8, 624] Generated Node #3: [8, 624] from Operation: 39*16=624 Current State: 78:[8, 624], Operations: ['6+10=16', '39*16=624'] Exploring Operation: 624/8=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 75, 92, 63, 23 ]
69
[ "92-75=17", "63+23=86", "86-17=69" ]
Current State: 69:[75, 92, 63, 23], Operations: [] Exploring Operation: 92-75=17, Resulting Numbers: [63, 23, 17] Generated Node #2: [63, 23, 17] from Operation: 92-75=17 Current State: 69:[63, 23, 17], Operations: ['92-75=17'] Exploring Operation: 63+23=86, Resulting Numbers: [17, 86] Generated Node #3: [17, 86] from Operation: 63+23=86 Current State: 69:[17, 86], Operations: ['92-75=17', '63+23=86'] Exploring Operation: 86-17=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 4, 14, 91, 53 ]
96
[ "91-14=77", "77-53=24", "4*24=96" ]
Current State: 96:[4, 14, 91, 53], Operations: [] Exploring Operation: 91-14=77, Resulting Numbers: [4, 53, 77] Generated Node #2: [4, 53, 77] from Operation: 91-14=77 Current State: 96:[4, 53, 77], Operations: ['91-14=77'] Exploring Operation: 77-53=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 77-53=24 Current State: 96:[4, 24], Operations: ['91-14=77', '77-53=24'] Exploring Operation: 4*24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 28, 47, 2, 13 ]
45
[ "47-28=19", "2*13=26", "19+26=45" ]
Current State: 45:[28, 47, 2, 13], Operations: [] Exploring Operation: 47-28=19, Resulting Numbers: [2, 13, 19] Generated Node #2: [2, 13, 19] from Operation: 47-28=19 Current State: 45:[2, 13, 19], Operations: ['47-28=19'] Exploring Operation: 2*13=26, Resulting Numbers: [19, 26] Generated Node #3: [19, 26] from Operation: 2*13=26 Current State: 45:[19, 26], Operations: ['47-28=19', '2*13=26'] Exploring Operation: 19+26=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 86, 67, 90, 16 ]
63
[ "90-86=4", "16/4=4", "67-4=63" ]
Current State: 63:[86, 67, 90, 16], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [67, 16, 4] Generated Node #2: [67, 16, 4] from Operation: 90-86=4 Current State: 63:[67, 16, 4], Operations: ['90-86=4'] Exploring Operation: 16/4=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 16/4=4 Current State: 63:[67, 4], Operations: ['90-86=4', '16/4=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 52, 45, 39, 90 ]
67
[ "45-39=6", "90/6=15", "52+15=67" ]
Current State: 67:[52, 45, 39, 90], Operations: [] Exploring Operation: 45-39=6, Resulting Numbers: [52, 90, 6] Generated Node #2: [52, 90, 6] from Operation: 45-39=6 Current State: 67:[52, 90, 6], Operations: ['45-39=6'] Exploring Operation: 90/6=15, Resulting Numbers: [52, 15] Generated Node #3: [52, 15] from Operation: 90/6=15 Current State: 67:[52, 15], Operations: ['45-39=6', '90/6=15'] Exploring Operation: 52+15=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 62, 17, 99, 2 ]
59
[ "62+17=79", "2*79=158", "158-99=59" ]
Current State: 59:[62, 17, 99, 2], Operations: [] Exploring Operation: 62+17=79, Resulting Numbers: [99, 2, 79] Generated Node #2: [99, 2, 79] from Operation: 62+17=79 Current State: 59:[99, 2, 79], Operations: ['62+17=79'] Exploring Operation: 2*79=158, Resulting Numbers: [99, 158] Generated Node #3: [99, 158] from Operation: 2*79=158 Current State: 59:[99, 158], Operations: ['62+17=79', '2*79=158'] Exploring Operation: 158-99=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 19, 5, 82, 3 ]
60
[ "5-3=2", "82/2=41", "19+41=60" ]
Current State: 60:[19, 5, 82, 3], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [19, 82, 2] Generated Node #2: [19, 82, 2] from Operation: 5-3=2 Current State: 60:[19, 82, 2], Operations: ['5-3=2'] Exploring Operation: 82/2=41, Resulting Numbers: [19, 41] Generated Node #3: [19, 41] from Operation: 82/2=41 Current State: 60:[19, 41], Operations: ['5-3=2', '82/2=41'] Exploring Operation: 19+41=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 78, 3, 20, 67 ]
13
[ "78-67=11", "3*11=33", "33-20=13" ]
Current State: 13:[78, 3, 20, 67], Operations: [] Exploring Operation: 78-67=11, Resulting Numbers: [3, 20, 11] Generated Node #2: [3, 20, 11] from Operation: 78-67=11 Current State: 13:[3, 20, 11], Operations: ['78-67=11'] Exploring Operation: 3*11=33, Resulting Numbers: [20, 33] Generated Node #3: [20, 33] from Operation: 3*11=33 Current State: 13:[20, 33], Operations: ['78-67=11', '3*11=33'] Exploring Operation: 33-20=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 30, 87, 44, 39 ]
62
[ "87-30=57", "44-39=5", "57+5=62" ]
Current State: 62:[30, 87, 44, 39], Operations: [] Exploring Operation: 87-30=57, Resulting Numbers: [44, 39, 57] Generated Node #2: [44, 39, 57] from Operation: 87-30=57 Current State: 62:[44, 39, 57], Operations: ['87-30=57'] Exploring Operation: 44-39=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 44-39=5 Current State: 62:[57, 5], Operations: ['87-30=57', '44-39=5'] Exploring Operation: 57+5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 20, 9, 26, 49 ]
64
[ "20-9=11", "26+49=75", "75-11=64" ]
Current State: 64:[20, 9, 26, 49], Operations: [] Exploring Operation: 20-9=11, Resulting Numbers: [26, 49, 11] Generated Node #2: [26, 49, 11] from Operation: 20-9=11 Current State: 64:[26, 49, 11], Operations: ['20-9=11'] Exploring Operation: 26+49=75, Resulting Numbers: [11, 75] Generated Node #3: [11, 75] from Operation: 26+49=75 Current State: 64:[11, 75], Operations: ['20-9=11', '26+49=75'] Exploring Operation: 75-11=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 39, 70, 37, 62 ]
78
[ "39-37=2", "70*2=140", "140-62=78" ]
Current State: 78:[39, 70, 37, 62], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [70, 62, 2] Generated Node #2: [70, 62, 2] from Operation: 39-37=2 Current State: 78:[70, 62, 2], Operations: ['39-37=2'] Exploring Operation: 70*2=140, Resulting Numbers: [62, 140] Generated Node #3: [62, 140] from Operation: 70*2=140 Current State: 78:[62, 140], Operations: ['39-37=2', '70*2=140'] Exploring Operation: 140-62=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 35, 70, 15, 7 ]
29
[ "70/35=2", "7*2=14", "15+14=29" ]
Current State: 29:[35, 70, 15, 7], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [15, 7, 2] Generated Node #2: [15, 7, 2] from Operation: 70/35=2 Current State: 29:[15, 7, 2], Operations: ['70/35=2'] Exploring Operation: 7*2=14, Resulting Numbers: [15, 14] Generated Node #3: [15, 14] from Operation: 7*2=14 Current State: 29:[15, 14], Operations: ['70/35=2', '7*2=14'] Exploring Operation: 15+14=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 5, 5, 27, 78 ]
51
[ "5-5=0", "78-27=51", "0+51=51" ]
Current State: 51:[5, 5, 27, 78], Operations: [] Exploring Operation: 5-5=0, Resulting Numbers: [27, 78, 0] Generated Node #2: [27, 78, 0] from Operation: 5-5=0 Current State: 51:[27, 78, 0], Operations: ['5-5=0'] Exploring Operation: 78-27=51, Resulting Numbers: [0, 51] Generated Node #3: [0, 51] from Operation: 78-27=51 Current State: 51:[0, 51], Operations: ['5-5=0', '78-27=51'] Exploring Operation: 0+51=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 26, 55, 98, 99 ]
82
[ "26+55=81", "99-98=1", "81+1=82" ]
Current State: 82:[26, 55, 98, 99], Operations: [] Exploring Operation: 26+55=81, Resulting Numbers: [98, 99, 81] Generated Node #2: [98, 99, 81] from Operation: 26+55=81 Current State: 82:[98, 99, 81], Operations: ['26+55=81'] Exploring Operation: 99-98=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 99-98=1 Current State: 82:[81, 1], Operations: ['26+55=81', '99-98=1'] Exploring Operation: 81+1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 52, 18, 57, 51 ]
74
[ "52-18=34", "57+51=108", "108-34=74" ]
Current State: 74:[52, 18, 57, 51], Operations: [] Exploring Operation: 52-18=34, Resulting Numbers: [57, 51, 34] Generated Node #2: [57, 51, 34] from Operation: 52-18=34 Current State: 74:[57, 51, 34], Operations: ['52-18=34'] Exploring Operation: 57+51=108, Resulting Numbers: [34, 108] Generated Node #3: [34, 108] from Operation: 57+51=108 Current State: 74:[34, 108], Operations: ['52-18=34', '57+51=108'] Exploring Operation: 108-34=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 41, 93, 97, 26 ]
60
[ "41-26=15", "97-93=4", "15*4=60" ]
Current State: 60:[41, 93, 97, 26], Operations: [] Exploring Operation: 41-26=15, Resulting Numbers: [93, 97, 15] Generated Node #2: [93, 97, 15] from Operation: 41-26=15 Current State: 60:[93, 97, 15], Operations: ['41-26=15'] Exploring Operation: 97-93=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 97-93=4 Current State: 60:[15, 4], Operations: ['41-26=15', '97-93=4'] Exploring Operation: 15*4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 86, 21, 3, 6 ]
81
[ "21-6=15", "15/3=5", "86-5=81" ]
Current State: 81:[86, 21, 3, 6], Operations: [] Exploring Operation: 21-6=15, Resulting Numbers: [86, 3, 15] Generated Node #2: [86, 3, 15] from Operation: 21-6=15 Current State: 81:[86, 3, 15], Operations: ['21-6=15'] Exploring Operation: 15/3=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 15/3=5 Current State: 81:[86, 5], Operations: ['21-6=15', '15/3=5'] Exploring Operation: 86-5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 69, 80, 8, 4 ]
52
[ "80-69=11", "4*11=44", "8+44=52" ]
Current State: 52:[69, 80, 8, 4], Operations: [] Exploring Operation: 80-69=11, Resulting Numbers: [8, 4, 11] Generated Node #2: [8, 4, 11] from Operation: 80-69=11 Current State: 52:[8, 4, 11], Operations: ['80-69=11'] Exploring Operation: 4*11=44, Resulting Numbers: [8, 44] Generated Node #3: [8, 44] from Operation: 4*11=44 Current State: 52:[8, 44], Operations: ['80-69=11', '4*11=44'] Exploring Operation: 8+44=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 75, 10, 84, 75 ]
73
[ "75/75=1", "84-10=74", "74-1=73" ]
Current State: 73:[75, 10, 84, 75], Operations: [] Exploring Operation: 75/75=1, Resulting Numbers: [10, 84, 1] Generated Node #2: [10, 84, 1] from Operation: 75/75=1 Current State: 73:[10, 84, 1], Operations: ['75/75=1'] Exploring Operation: 84-10=74, Resulting Numbers: [1, 74] Generated Node #3: [1, 74] from Operation: 84-10=74 Current State: 73:[1, 74], Operations: ['75/75=1', '84-10=74'] Exploring Operation: 74-1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 94, 16, 78, 20 ]
21
[ "94-16=78", "78/78=1", "20+1=21" ]
Current State: 21:[94, 16, 78, 20], Operations: [] Exploring Operation: 94-16=78, Resulting Numbers: [78, 20, 78] Generated Node #2: [78, 20, 78] from Operation: 94-16=78 Current State: 21:[78, 20, 78], Operations: ['94-16=78'] Exploring Operation: 78/78=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 78/78=1 Current State: 21:[20, 1], Operations: ['94-16=78', '78/78=1'] Exploring Operation: 20+1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 37, 6, 43, 11 ]
75
[ "37+6=43", "43-11=32", "43+32=75" ]
Current State: 75:[37, 6, 43, 11], Operations: [] Exploring Operation: 37+6=43, Resulting Numbers: [43, 11, 43] Generated Node #2: [43, 11, 43] from Operation: 37+6=43 Current State: 75:[43, 11, 43], Operations: ['37+6=43'] Exploring Operation: 43-11=32, Resulting Numbers: [32] 32,75 equal: Goal Reached Exploring Operation: 43+32=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 92, 77, 3, 11 ]
50
[ "92-11=81", "81/3=27", "77-27=50" ]
Current State: 50:[92, 77, 3, 11], Operations: [] Exploring Operation: 92-11=81, Resulting Numbers: [77, 3, 81] Generated Node #2: [77, 3, 81] from Operation: 92-11=81 Current State: 50:[77, 3, 81], Operations: ['92-11=81'] Exploring Operation: 81/3=27, Resulting Numbers: [77, 27] Generated Node #3: [77, 27] from Operation: 81/3=27 Current State: 50:[77, 27], Operations: ['92-11=81', '81/3=27'] Exploring Operation: 77-27=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 60, 70, 86, 22 ]
54
[ "70-60=10", "86-22=64", "64-10=54" ]
Current State: 54:[60, 70, 86, 22], Operations: [] Exploring Operation: 70-60=10, Resulting Numbers: [86, 22, 10] Generated Node #2: [86, 22, 10] from Operation: 70-60=10 Current State: 54:[86, 22, 10], Operations: ['70-60=10'] Exploring Operation: 86-22=64, Resulting Numbers: [10, 64] Generated Node #3: [10, 64] from Operation: 86-22=64 Current State: 54:[10, 64], Operations: ['70-60=10', '86-22=64'] Exploring Operation: 64-10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 99, 25, 81, 12 ]
55
[ "99+25=124", "81-12=69", "124-69=55" ]
Current State: 55:[99, 25, 81, 12], Operations: [] Exploring Operation: 99+25=124, Resulting Numbers: [81, 12, 124] Generated Node #2: [81, 12, 124] from Operation: 99+25=124 Current State: 55:[81, 12, 124], Operations: ['99+25=124'] Exploring Operation: 81-12=69, Resulting Numbers: [124, 69] Generated Node #3: [124, 69] from Operation: 81-12=69 Current State: 55:[124, 69], Operations: ['99+25=124', '81-12=69'] Exploring Operation: 124-69=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 87, 57, 1, 70 ]
74
[ "87+57=144", "1*70=70", "144-70=74" ]
Current State: 74:[87, 57, 1, 70], Operations: [] Exploring Operation: 87+57=144, Resulting Numbers: [1, 70, 144] Generated Node #2: [1, 70, 144] from Operation: 87+57=144 Current State: 74:[1, 70, 144], Operations: ['87+57=144'] Exploring Operation: 1*70=70, Resulting Numbers: [144, 70] Generated Node #3: [144, 70] from Operation: 1*70=70 Current State: 74:[144, 70], Operations: ['87+57=144', '1*70=70'] Exploring Operation: 144-70=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 28, 76, 56, 61 ]
64
[ "61-56=5", "28*5=140", "140-76=64" ]
Current State: 64:[28, 76, 56, 61], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [28, 76, 5] Generated Node #2: [28, 76, 5] from Operation: 61-56=5 Current State: 64:[28, 76, 5], Operations: ['61-56=5'] Exploring Operation: 28*5=140, Resulting Numbers: [76, 140] Generated Node #3: [76, 140] from Operation: 28*5=140 Current State: 64:[76, 140], Operations: ['61-56=5', '28*5=140'] Exploring Operation: 140-76=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 22, 25, 84, 65 ]
37
[ "25-22=3", "84/3=28", "65-28=37" ]
Current State: 37:[22, 25, 84, 65], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [84, 65, 3] Generated Node #2: [84, 65, 3] from Operation: 25-22=3 Current State: 37:[84, 65, 3], Operations: ['25-22=3'] Exploring Operation: 84/3=28, Resulting Numbers: [65, 28] Generated Node #3: [65, 28] from Operation: 84/3=28 Current State: 37:[65, 28], Operations: ['25-22=3', '84/3=28'] Exploring Operation: 65-28=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 12, 72, 15, 20 ]
80
[ "72-12=60", "60/15=4", "20*4=80" ]
Current State: 80:[12, 72, 15, 20], Operations: [] Exploring Operation: 72-12=60, Resulting Numbers: [15, 20, 60] Generated Node #2: [15, 20, 60] from Operation: 72-12=60 Current State: 80:[15, 20, 60], Operations: ['72-12=60'] Exploring Operation: 60/15=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 60/15=4 Current State: 80:[20, 4], Operations: ['72-12=60', '60/15=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 81, 88, 3, 44 ]
81
[ "88/44=2", "3-2=1", "81*1=81" ]
Current State: 81:[81, 88, 3, 44], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [81, 3, 2] Generated Node #2: [81, 3, 2] from Operation: 88/44=2 Current State: 81:[81, 3, 2], Operations: ['88/44=2'] Exploring Operation: 3-2=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 3-2=1 Current State: 81:[81, 1], Operations: ['88/44=2', '3-2=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 27, 49, 59, 25 ]
21
[ "49+59=108", "108/27=4", "25-4=21" ]
Current State: 21:[27, 49, 59, 25], Operations: [] Exploring Operation: 49+59=108, Resulting Numbers: [27, 25, 108] Generated Node #2: [27, 25, 108] from Operation: 49+59=108 Current State: 21:[27, 25, 108], Operations: ['49+59=108'] Exploring Operation: 108/27=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 108/27=4 Current State: 21:[25, 4], Operations: ['49+59=108', '108/27=4'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 21, 98, 96, 89 ]
95
[ "96-89=7", "21/7=3", "98-3=95" ]
Current State: 95:[21, 98, 96, 89], Operations: [] Exploring Operation: 96-89=7, Resulting Numbers: [21, 98, 7] Generated Node #2: [21, 98, 7] from Operation: 96-89=7 Current State: 95:[21, 98, 7], Operations: ['96-89=7'] Exploring Operation: 21/7=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 21/7=3 Current State: 95:[98, 3], Operations: ['96-89=7', '21/7=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 14, 65, 56, 26 ]
95
[ "56/14=4", "65+26=91", "4+91=95" ]
Current State: 95:[14, 65, 56, 26], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [65, 26, 4] Generated Node #2: [65, 26, 4] from Operation: 56/14=4 Current State: 95:[65, 26, 4], Operations: ['56/14=4'] Exploring Operation: 65+26=91, Resulting Numbers: [4, 91] Generated Node #3: [4, 91] from Operation: 65+26=91 Current State: 95:[4, 91], Operations: ['56/14=4', '65+26=91'] Exploring Operation: 4+91=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 87, 2, 88, 35 ]
62
[ "87-35=52", "52/2=26", "88-26=62" ]
Current State: 62:[87, 2, 88, 35], Operations: [] Exploring Operation: 87-35=52, Resulting Numbers: [2, 88, 52] Generated Node #2: [2, 88, 52] from Operation: 87-35=52 Current State: 62:[2, 88, 52], Operations: ['87-35=52'] Exploring Operation: 52/2=26, Resulting Numbers: [88, 26] Generated Node #3: [88, 26] from Operation: 52/2=26 Current State: 62:[88, 26], Operations: ['87-35=52', '52/2=26'] Exploring Operation: 88-26=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 61, 97, 93, 9 ]
89
[ "97-61=36", "36/9=4", "93-4=89" ]
Current State: 89:[61, 97, 93, 9], Operations: [] Exploring Operation: 97-61=36, Resulting Numbers: [93, 9, 36] Generated Node #2: [93, 9, 36] from Operation: 97-61=36 Current State: 89:[93, 9, 36], Operations: ['97-61=36'] Exploring Operation: 36/9=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 36/9=4 Current State: 89:[93, 4], Operations: ['97-61=36', '36/9=4'] Exploring Operation: 93-4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 27, 55, 31, 57 ]
85
[ "57-55=2", "27*2=54", "31+54=85" ]
Current State: 85:[27, 55, 31, 57], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [27, 31, 2] Generated Node #2: [27, 31, 2] from Operation: 57-55=2 Current State: 85:[27, 31, 2], Operations: ['57-55=2'] Exploring Operation: 27*2=54, Resulting Numbers: [31, 54] Generated Node #3: [31, 54] from Operation: 27*2=54 Current State: 85:[31, 54], Operations: ['57-55=2', '27*2=54'] Exploring Operation: 31+54=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 66, 17, 87, 43 ]
47
[ "66+17=83", "87+43=130", "130-83=47" ]
Current State: 47:[66, 17, 87, 43], Operations: [] Exploring Operation: 66+17=83, Resulting Numbers: [87, 43, 83] Generated Node #2: [87, 43, 83] from Operation: 66+17=83 Current State: 47:[87, 43, 83], Operations: ['66+17=83'] Exploring Operation: 87+43=130, Resulting Numbers: [83, 130] Generated Node #3: [83, 130] from Operation: 87+43=130 Current State: 47:[83, 130], Operations: ['66+17=83', '87+43=130'] Exploring Operation: 130-83=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 22, 87, 51, 28 ]
84
[ "51-22=29", "87*28=2436", "2436/29=84" ]
Current State: 84:[22, 87, 51, 28], Operations: [] Exploring Operation: 51-22=29, Resulting Numbers: [87, 28, 29] Generated Node #2: [87, 28, 29] from Operation: 51-22=29 Current State: 84:[87, 28, 29], Operations: ['51-22=29'] Exploring Operation: 87*28=2436, Resulting Numbers: [29, 2436] Generated Node #3: [29, 2436] from Operation: 87*28=2436 Current State: 84:[29, 2436], Operations: ['51-22=29', '87*28=2436'] Exploring Operation: 2436/29=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 3, 77, 43, 40 ]
77
[ "3+77=80", "43-40=3", "80-3=77" ]
Current State: 77:[3, 77, 43, 40], Operations: [] Exploring Operation: 3+77=80, Resulting Numbers: [43, 40, 80] Generated Node #2: [43, 40, 80] from Operation: 3+77=80 Current State: 77:[43, 40, 80], Operations: ['3+77=80'] Exploring Operation: 43-40=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 43-40=3 Current State: 77:[80, 3], Operations: ['3+77=80', '43-40=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 58, 71, 56, 34 ]
39
[ "58+71=129", "56+34=90", "129-90=39" ]
Current State: 39:[58, 71, 56, 34], Operations: [] Exploring Operation: 58+71=129, Resulting Numbers: [56, 34, 129] Generated Node #2: [56, 34, 129] from Operation: 58+71=129 Current State: 39:[56, 34, 129], Operations: ['58+71=129'] Exploring Operation: 56+34=90, Resulting Numbers: [129, 90] Generated Node #3: [129, 90] from Operation: 56+34=90 Current State: 39:[129, 90], Operations: ['58+71=129', '56+34=90'] Exploring Operation: 129-90=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 21, 6, 22, 9 ]
17
[ "21+9=30", "30/6=5", "22-5=17" ]
Current State: 17:[21, 6, 22, 9], Operations: [] Exploring Operation: 21+9=30, Resulting Numbers: [6, 22, 30] Generated Node #2: [6, 22, 30] from Operation: 21+9=30 Current State: 17:[6, 22, 30], Operations: ['21+9=30'] Exploring Operation: 30/6=5, Resulting Numbers: [22, 5] Generated Node #3: [22, 5] from Operation: 30/6=5 Current State: 17:[22, 5], Operations: ['21+9=30', '30/6=5'] Exploring Operation: 22-5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 90, 94, 15, 62 ]
51
[ "94-90=4", "62-15=47", "4+47=51" ]
Current State: 51:[90, 94, 15, 62], Operations: [] Exploring Operation: 94-90=4, Resulting Numbers: [15, 62, 4] Generated Node #2: [15, 62, 4] from Operation: 94-90=4 Current State: 51:[15, 62, 4], Operations: ['94-90=4'] Exploring Operation: 62-15=47, Resulting Numbers: [4, 47] Generated Node #3: [4, 47] from Operation: 62-15=47 Current State: 51:[4, 47], Operations: ['94-90=4', '62-15=47'] Exploring Operation: 4+47=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 12, 25, 2, 23 ]
20
[ "25-12=13", "23-13=10", "2*10=20" ]
Current State: 20:[12, 25, 2, 23], Operations: [] Exploring Operation: 25-12=13, Resulting Numbers: [2, 23, 13] Generated Node #2: [2, 23, 13] from Operation: 25-12=13 Current State: 20:[2, 23, 13], Operations: ['25-12=13'] Exploring Operation: 23-13=10, Resulting Numbers: [2, 10] Generated Node #3: [2, 10] from Operation: 23-13=10 Current State: 20:[2, 10], Operations: ['25-12=13', '23-13=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 70, 84, 12, 25 ]
50
[ "84-70=14", "14-12=2", "25*2=50" ]
Current State: 50:[70, 84, 12, 25], Operations: [] Exploring Operation: 84-70=14, Resulting Numbers: [12, 25, 14] Generated Node #2: [12, 25, 14] from Operation: 84-70=14 Current State: 50:[12, 25, 14], Operations: ['84-70=14'] Exploring Operation: 14-12=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 14-12=2 Current State: 50:[25, 2], Operations: ['84-70=14', '14-12=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 56, 68, 78, 23 ]
23
[ "56+68=124", "78+23=101", "124-101=23" ]
Current State: 23:[56, 68, 78, 23], Operations: [] Exploring Operation: 56+68=124, Resulting Numbers: [78, 23, 124] Generated Node #2: [78, 23, 124] from Operation: 56+68=124 Current State: 23:[78, 23, 124], Operations: ['56+68=124'] Exploring Operation: 78+23=101, Resulting Numbers: [124, 101] Generated Node #3: [124, 101] from Operation: 78+23=101 Current State: 23:[124, 101], Operations: ['56+68=124', '78+23=101'] Exploring Operation: 124-101=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 38, 10, 17, 33 ]
32
[ "38+10=48", "33-17=16", "48-16=32" ]
Current State: 32:[38, 10, 17, 33], Operations: [] Exploring Operation: 38+10=48, Resulting Numbers: [17, 33, 48] Generated Node #2: [17, 33, 48] from Operation: 38+10=48 Current State: 32:[17, 33, 48], Operations: ['38+10=48'] Exploring Operation: 33-17=16, Resulting Numbers: [48, 16] Generated Node #3: [48, 16] from Operation: 33-17=16 Current State: 32:[48, 16], Operations: ['38+10=48', '33-17=16'] Exploring Operation: 48-16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 28, 33, 15, 60 ]
40
[ "33-28=5", "60-15=45", "45-5=40" ]
Current State: 40:[28, 33, 15, 60], Operations: [] Exploring Operation: 33-28=5, Resulting Numbers: [15, 60, 5] Generated Node #2: [15, 60, 5] from Operation: 33-28=5 Current State: 40:[15, 60, 5], Operations: ['33-28=5'] Exploring Operation: 60-15=45, Resulting Numbers: [5, 45] Generated Node #3: [5, 45] from Operation: 60-15=45 Current State: 40:[5, 45], Operations: ['33-28=5', '60-15=45'] Exploring Operation: 45-5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 15, 14, 46, 97 ]
22
[ "15+14=29", "97-46=51", "51-29=22" ]
Current State: 22:[15, 14, 46, 97], Operations: [] Exploring Operation: 15+14=29, Resulting Numbers: [46, 97, 29] Generated Node #2: [46, 97, 29] from Operation: 15+14=29 Current State: 22:[46, 97, 29], Operations: ['15+14=29'] Exploring Operation: 97-46=51, Resulting Numbers: [29, 51] Generated Node #3: [29, 51] from Operation: 97-46=51 Current State: 22:[29, 51], Operations: ['15+14=29', '97-46=51'] Exploring Operation: 51-29=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 3, 81, 16, 67 ]
26
[ "81-67=14", "3*14=42", "42-16=26" ]
Current State: 26:[3, 81, 16, 67], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [3, 16, 14] Generated Node #2: [3, 16, 14] from Operation: 81-67=14 Current State: 26:[3, 16, 14], Operations: ['81-67=14'] Exploring Operation: 3*14=42, Resulting Numbers: [16, 42] Generated Node #3: [16, 42] from Operation: 3*14=42 Current State: 26:[16, 42], Operations: ['81-67=14', '3*14=42'] Exploring Operation: 42-16=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 4, 66, 84, 85 ]
61
[ "66-4=62", "85-84=1", "62-1=61" ]
Current State: 61:[4, 66, 84, 85], Operations: [] Exploring Operation: 66-4=62, Resulting Numbers: [84, 85, 62] Generated Node #2: [84, 85, 62] from Operation: 66-4=62 Current State: 61:[84, 85, 62], Operations: ['66-4=62'] Exploring Operation: 85-84=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 85-84=1 Current State: 61:[62, 1], Operations: ['66-4=62', '85-84=1'] Exploring Operation: 62-1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 16, 9, 65, 29 ]
11
[ "16+9=25", "65-29=36", "36-25=11" ]
Current State: 11:[16, 9, 65, 29], Operations: [] Exploring Operation: 16+9=25, Resulting Numbers: [65, 29, 25] Generated Node #2: [65, 29, 25] from Operation: 16+9=25 Current State: 11:[65, 29, 25], Operations: ['16+9=25'] Exploring Operation: 65-29=36, Resulting Numbers: [25, 36] Generated Node #3: [25, 36] from Operation: 65-29=36 Current State: 11:[25, 36], Operations: ['16+9=25', '65-29=36'] Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 35, 98, 53, 13 ]
23
[ "98-35=63", "53-13=40", "63-40=23" ]
Current State: 23:[35, 98, 53, 13], Operations: [] Exploring Operation: 98-35=63, Resulting Numbers: [53, 13, 63] Generated Node #2: [53, 13, 63] from Operation: 98-35=63 Current State: 23:[53, 13, 63], Operations: ['98-35=63'] Exploring Operation: 53-13=40, Resulting Numbers: [63, 40] Generated Node #3: [63, 40] from Operation: 53-13=40 Current State: 23:[63, 40], Operations: ['98-35=63', '53-13=40'] Exploring Operation: 63-40=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 17, 27, 10, 93 ]
29
[ "27+93=120", "120/10=12", "17+12=29" ]
Current State: 29:[17, 27, 10, 93], Operations: [] Exploring Operation: 27+93=120, Resulting Numbers: [17, 10, 120] Generated Node #2: [17, 10, 120] from Operation: 27+93=120 Current State: 29:[17, 10, 120], Operations: ['27+93=120'] Exploring Operation: 120/10=12, Resulting Numbers: [17, 12] Generated Node #3: [17, 12] from Operation: 120/10=12 Current State: 29:[17, 12], Operations: ['27+93=120', '120/10=12'] Exploring Operation: 17+12=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 17, 62, 3, 54 ]
96
[ "62-17=45", "54-3=51", "45+51=96" ]
Current State: 96:[17, 62, 3, 54], Operations: [] Exploring Operation: 62-17=45, Resulting Numbers: [3, 54, 45] Generated Node #2: [3, 54, 45] from Operation: 62-17=45 Current State: 96:[3, 54, 45], Operations: ['62-17=45'] Exploring Operation: 54-3=51, Resulting Numbers: [45, 51] Generated Node #3: [45, 51] from Operation: 54-3=51 Current State: 96:[45, 51], Operations: ['62-17=45', '54-3=51'] Exploring Operation: 45+51=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 43, 68, 61, 19 ]
16
[ "68+61=129", "129/43=3", "19-3=16" ]
Current State: 16:[43, 68, 61, 19], Operations: [] Exploring Operation: 68+61=129, Resulting Numbers: [43, 19, 129] Generated Node #2: [43, 19, 129] from Operation: 68+61=129 Current State: 16:[43, 19, 129], Operations: ['68+61=129'] Exploring Operation: 129/43=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 129/43=3 Current State: 16:[19, 3], Operations: ['68+61=129', '129/43=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 40, 21, 19, 14 ]
94
[ "40+21=61", "19+14=33", "61+33=94" ]
Current State: 94:[40, 21, 19, 14], Operations: [] Exploring Operation: 40+21=61, Resulting Numbers: [19, 14, 61] Generated Node #2: [19, 14, 61] from Operation: 40+21=61 Current State: 94:[19, 14, 61], Operations: ['40+21=61'] Exploring Operation: 19+14=33, Resulting Numbers: [61, 33] Generated Node #3: [61, 33] from Operation: 19+14=33 Current State: 94:[61, 33], Operations: ['40+21=61', '19+14=33'] Exploring Operation: 61+33=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 2, 6, 12, 82 ]
90
[ "6-2=4", "12+82=94", "94-4=90" ]
Current State: 90:[2, 6, 12, 82], Operations: [] Exploring Operation: 6-2=4, Resulting Numbers: [12, 82, 4] Generated Node #2: [12, 82, 4] from Operation: 6-2=4 Current State: 90:[12, 82, 4], Operations: ['6-2=4'] Exploring Operation: 12+82=94, Resulting Numbers: [4, 94] Generated Node #3: [4, 94] from Operation: 12+82=94 Current State: 90:[4, 94], Operations: ['6-2=4', '12+82=94'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 99, 32, 29, 87 ]
64
[ "99-32=67", "87/29=3", "67-3=64" ]
Current State: 64:[99, 32, 29, 87], Operations: [] Exploring Operation: 99-32=67, Resulting Numbers: [29, 87, 67] Generated Node #2: [29, 87, 67] from Operation: 99-32=67 Current State: 64:[29, 87, 67], Operations: ['99-32=67'] Exploring Operation: 87/29=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 87/29=3 Current State: 64:[67, 3], Operations: ['99-32=67', '87/29=3'] Exploring Operation: 67-3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 19, 18, 2, 56 ]
36
[ "19*2=38", "18+56=74", "74-38=36" ]
Current State: 36:[19, 18, 2, 56], Operations: [] Exploring Operation: 19*2=38, Resulting Numbers: [18, 56, 38] Generated Node #2: [18, 56, 38] from Operation: 19*2=38 Current State: 36:[18, 56, 38], Operations: ['19*2=38'] Exploring Operation: 18+56=74, Resulting Numbers: [38, 74] Generated Node #3: [38, 74] from Operation: 18+56=74 Current State: 36:[38, 74], Operations: ['19*2=38', '18+56=74'] Exploring Operation: 74-38=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 64, 27, 33, 9 ]
34
[ "64-33=31", "27/9=3", "31+3=34" ]
Current State: 34:[64, 27, 33, 9], Operations: [] Exploring Operation: 64-33=31, Resulting Numbers: [27, 9, 31] Generated Node #2: [27, 9, 31] from Operation: 64-33=31 Current State: 34:[27, 9, 31], Operations: ['64-33=31'] Exploring Operation: 27/9=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 27/9=3 Current State: 34:[31, 3], Operations: ['64-33=31', '27/9=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 15, 98, 14, 37 ]
28
[ "14*37=518", "518-98=420", "420/15=28" ]
Current State: 28:[15, 98, 14, 37], Operations: [] Exploring Operation: 14*37=518, Resulting Numbers: [15, 98, 518] Generated Node #2: [15, 98, 518] from Operation: 14*37=518 Current State: 28:[15, 98, 518], Operations: ['14*37=518'] Exploring Operation: 518-98=420, Resulting Numbers: [15, 420] Generated Node #3: [15, 420] from Operation: 518-98=420 Current State: 28:[15, 420], Operations: ['14*37=518', '518-98=420'] Exploring Operation: 420/15=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 76, 47, 80, 37 ]
80
[ "76+47=123", "80-37=43", "123-43=80" ]
Current State: 80:[76, 47, 80, 37], Operations: [] Exploring Operation: 76+47=123, Resulting Numbers: [80, 37, 123] Generated Node #2: [80, 37, 123] from Operation: 76+47=123 Current State: 80:[80, 37, 123], Operations: ['76+47=123'] Exploring Operation: 80-37=43, Resulting Numbers: [123, 43] Generated Node #3: [123, 43] from Operation: 80-37=43 Current State: 80:[123, 43], Operations: ['76+47=123', '80-37=43'] Exploring Operation: 123-43=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 14, 69, 50, 65 ]
68
[ "14+69=83", "65-50=15", "83-15=68" ]
Current State: 68:[14, 69, 50, 65], Operations: [] Exploring Operation: 14+69=83, Resulting Numbers: [50, 65, 83] Generated Node #2: [50, 65, 83] from Operation: 14+69=83 Current State: 68:[50, 65, 83], Operations: ['14+69=83'] Exploring Operation: 65-50=15, Resulting Numbers: [83, 15] Generated Node #3: [83, 15] from Operation: 65-50=15 Current State: 68:[83, 15], Operations: ['14+69=83', '65-50=15'] Exploring Operation: 83-15=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 94, 47, 61, 88 ]
84
[ "94-88=6", "61-47=14", "6*14=84" ]
Current State: 84:[94, 47, 61, 88], Operations: [] Exploring Operation: 94-88=6, Resulting Numbers: [47, 61, 6] Generated Node #2: [47, 61, 6] from Operation: 94-88=6 Current State: 84:[47, 61, 6], Operations: ['94-88=6'] Exploring Operation: 61-47=14, Resulting Numbers: [6, 14] Generated Node #3: [6, 14] from Operation: 61-47=14 Current State: 84:[6, 14], Operations: ['94-88=6', '61-47=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 81, 29, 69, 33 ]
74
[ "81+29=110", "69-33=36", "110-36=74" ]
Current State: 74:[81, 29, 69, 33], Operations: [] Exploring Operation: 81+29=110, Resulting Numbers: [69, 33, 110] Generated Node #2: [69, 33, 110] from Operation: 81+29=110 Current State: 74:[69, 33, 110], Operations: ['81+29=110'] Exploring Operation: 69-33=36, Resulting Numbers: [110, 36] Generated Node #3: [110, 36] from Operation: 69-33=36 Current State: 74:[110, 36], Operations: ['81+29=110', '69-33=36'] Exploring Operation: 110-36=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 54, 17, 51, 5 ]
38
[ "54+51=105", "105/5=21", "17+21=38" ]
Current State: 38:[54, 17, 51, 5], Operations: [] Exploring Operation: 54+51=105, Resulting Numbers: [17, 5, 105] Generated Node #2: [17, 5, 105] from Operation: 54+51=105 Current State: 38:[17, 5, 105], Operations: ['54+51=105'] Exploring Operation: 105/5=21, Resulting Numbers: [17, 21] Generated Node #3: [17, 21] from Operation: 105/5=21 Current State: 38:[17, 21], Operations: ['54+51=105', '105/5=21'] Exploring Operation: 17+21=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 56, 9, 26, 85 ]
51
[ "26-9=17", "85/17=5", "56-5=51" ]
Current State: 51:[56, 9, 26, 85], Operations: [] Exploring Operation: 26-9=17, Resulting Numbers: [56, 85, 17] Generated Node #2: [56, 85, 17] from Operation: 26-9=17 Current State: 51:[56, 85, 17], Operations: ['26-9=17'] Exploring Operation: 85/17=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 85/17=5 Current State: 51:[56, 5], Operations: ['26-9=17', '85/17=5'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 11, 83, 91, 93 ]
36
[ "83-11=72", "93-91=2", "72/2=36" ]
Current State: 36:[11, 83, 91, 93], Operations: [] Exploring Operation: 83-11=72, Resulting Numbers: [91, 93, 72] Generated Node #2: [91, 93, 72] from Operation: 83-11=72 Current State: 36:[91, 93, 72], Operations: ['83-11=72'] Exploring Operation: 93-91=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 93-91=2 Current State: 36:[72, 2], Operations: ['83-11=72', '93-91=2'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 33, 12, 37, 80 ]
88
[ "33+12=45", "80-37=43", "45+43=88" ]
Current State: 88:[33, 12, 37, 80], Operations: [] Exploring Operation: 33+12=45, Resulting Numbers: [37, 80, 45] Generated Node #2: [37, 80, 45] from Operation: 33+12=45 Current State: 88:[37, 80, 45], Operations: ['33+12=45'] Exploring Operation: 80-37=43, Resulting Numbers: [45, 43] Generated Node #3: [45, 43] from Operation: 80-37=43 Current State: 88:[45, 43], Operations: ['33+12=45', '80-37=43'] Exploring Operation: 45+43=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 56, 27, 51, 66 ]
73
[ "56*66=3696", "27+3696=3723", "3723/51=73" ]
Current State: 73:[56, 27, 51, 66], Operations: [] Exploring Operation: 56*66=3696, Resulting Numbers: [27, 51, 3696] Generated Node #2: [27, 51, 3696] from Operation: 56*66=3696 Current State: 73:[27, 51, 3696], Operations: ['56*66=3696'] Exploring Operation: 27+3696=3723, Resulting Numbers: [51, 3723] Generated Node #3: [51, 3723] from Operation: 27+3696=3723 Current State: 73:[51, 3723], Operations: ['56*66=3696', '27+3696=3723'] Exploring Operation: 3723/51=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 78, 3, 2, 8 ]
80
[ "78+8=86", "3*2=6", "86-6=80" ]
Current State: 80:[78, 3, 2, 8], Operations: [] Exploring Operation: 78+8=86, Resulting Numbers: [3, 2, 86] Generated Node #2: [3, 2, 86] from Operation: 78+8=86 Current State: 80:[3, 2, 86], Operations: ['78+8=86'] Exploring Operation: 3*2=6, Resulting Numbers: [86, 6] Generated Node #3: [86, 6] from Operation: 3*2=6 Current State: 80:[86, 6], Operations: ['78+8=86', '3*2=6'] Exploring Operation: 86-6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 9, 50, 25, 47 ]
75
[ "9*25=225", "50-47=3", "225/3=75" ]
Current State: 75:[9, 50, 25, 47], Operations: [] Exploring Operation: 9*25=225, Resulting Numbers: [50, 47, 225] Generated Node #2: [50, 47, 225] from Operation: 9*25=225 Current State: 75:[50, 47, 225], Operations: ['9*25=225'] Exploring Operation: 50-47=3, Resulting Numbers: [225, 3] Generated Node #3: [225, 3] from Operation: 50-47=3 Current State: 75:[225, 3], Operations: ['9*25=225', '50-47=3'] Exploring Operation: 225/3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 43, 4, 33, 87 ]
22
[ "87-43=44", "44/4=11", "33-11=22" ]
Current State: 22:[43, 4, 33, 87], Operations: [] Exploring Operation: 87-43=44, Resulting Numbers: [4, 33, 44] Generated Node #2: [4, 33, 44] from Operation: 87-43=44 Current State: 22:[4, 33, 44], Operations: ['87-43=44'] Exploring Operation: 44/4=11, Resulting Numbers: [33, 11] Generated Node #3: [33, 11] from Operation: 44/4=11 Current State: 22:[33, 11], Operations: ['87-43=44', '44/4=11'] Exploring Operation: 33-11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 10, 11, 2, 82 ]
94
[ "82-10=72", "11*2=22", "72+22=94" ]
Current State: 94:[10, 11, 2, 82], Operations: [] Exploring Operation: 82-10=72, Resulting Numbers: [11, 2, 72] Generated Node #2: [11, 2, 72] from Operation: 82-10=72 Current State: 94:[11, 2, 72], Operations: ['82-10=72'] Exploring Operation: 11*2=22, Resulting Numbers: [72, 22] Generated Node #3: [72, 22] from Operation: 11*2=22 Current State: 94:[72, 22], Operations: ['82-10=72', '11*2=22'] Exploring Operation: 72+22=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 4, 65, 31, 5 ]
95
[ "4+65=69", "31-5=26", "69+26=95" ]
Current State: 95:[4, 65, 31, 5], Operations: [] Exploring Operation: 4+65=69, Resulting Numbers: [31, 5, 69] Generated Node #2: [31, 5, 69] from Operation: 4+65=69 Current State: 95:[31, 5, 69], Operations: ['4+65=69'] Exploring Operation: 31-5=26, Resulting Numbers: [69, 26] Generated Node #3: [69, 26] from Operation: 31-5=26 Current State: 95:[69, 26], Operations: ['4+65=69', '31-5=26'] Exploring Operation: 69+26=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 88, 1, 87, 94 ]
94
[ "88*1=88", "88-87=1", "94*1=94" ]
Current State: 94:[88, 1, 87, 94], Operations: [] Exploring Operation: 88*1=88, Resulting Numbers: [87, 94, 88] Generated Node #2: [87, 94, 88] from Operation: 88*1=88 Current State: 94:[87, 94, 88], Operations: ['88*1=88'] Exploring Operation: 88-87=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 88-87=1 Current State: 94:[94, 1], Operations: ['88*1=88', '88-87=1'] Exploring Operation: 94*1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 29, 24, 74, 35 ]
78
[ "35-29=6", "24/6=4", "74+4=78" ]
Current State: 78:[29, 24, 74, 35], Operations: [] Exploring Operation: 35-29=6, Resulting Numbers: [24, 74, 6] Generated Node #2: [24, 74, 6] from Operation: 35-29=6 Current State: 78:[24, 74, 6], Operations: ['35-29=6'] Exploring Operation: 24/6=4, Resulting Numbers: [74, 4] Generated Node #3: [74, 4] from Operation: 24/6=4 Current State: 78:[74, 4], Operations: ['35-29=6', '24/6=4'] Exploring Operation: 74+4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 20, 10, 48, 68 ]
11
[ "20+48=68", "68/68=1", "10+1=11" ]
Current State: 11:[20, 10, 48, 68], Operations: [] Exploring Operation: 20+48=68, Resulting Numbers: [10, 68, 68] Generated Node #2: [10, 68, 68] from Operation: 20+48=68 Current State: 11:[10, 68, 68], Operations: ['20+48=68'] Exploring Operation: 68/68=1, Resulting Numbers: [10, 1] Generated Node #3: [10, 1] from Operation: 68/68=1 Current State: 11:[10, 1], Operations: ['20+48=68', '68/68=1'] Exploring Operation: 10+1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 69, 12, 80, 68 ]
91
[ "69-12=57", "80+68=148", "148-57=91" ]
Current State: 91:[69, 12, 80, 68], Operations: [] Exploring Operation: 69-12=57, Resulting Numbers: [80, 68, 57] Generated Node #2: [80, 68, 57] from Operation: 69-12=57 Current State: 91:[80, 68, 57], Operations: ['69-12=57'] Exploring Operation: 80+68=148, Resulting Numbers: [57, 148] Generated Node #3: [57, 148] from Operation: 80+68=148 Current State: 91:[57, 148], Operations: ['69-12=57', '80+68=148'] Exploring Operation: 148-57=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 53, 82, 41, 75 ]
97
[ "82/41=2", "75*2=150", "150-53=97" ]
Current State: 97:[53, 82, 41, 75], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [53, 75, 2] Generated Node #2: [53, 75, 2] from Operation: 82/41=2 Current State: 97:[53, 75, 2], Operations: ['82/41=2'] Exploring Operation: 75*2=150, Resulting Numbers: [53, 150] Generated Node #3: [53, 150] from Operation: 75*2=150 Current State: 97:[53, 150], Operations: ['82/41=2', '75*2=150'] Exploring Operation: 150-53=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 20, 78, 6, 81 ]
23
[ "20+78=98", "81-6=75", "98-75=23" ]
Current State: 23:[20, 78, 6, 81], Operations: [] Exploring Operation: 20+78=98, Resulting Numbers: [6, 81, 98] Generated Node #2: [6, 81, 98] from Operation: 20+78=98 Current State: 23:[6, 81, 98], Operations: ['20+78=98'] Exploring Operation: 81-6=75, Resulting Numbers: [98, 75] Generated Node #3: [98, 75] from Operation: 81-6=75 Current State: 23:[98, 75], Operations: ['20+78=98', '81-6=75'] Exploring Operation: 98-75=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 63, 36, 98, 61 ]
63
[ "98-36=62", "62-61=1", "63*1=63" ]
Current State: 63:[63, 36, 98, 61], Operations: [] Exploring Operation: 98-36=62, Resulting Numbers: [63, 61, 62] Generated Node #2: [63, 61, 62] from Operation: 98-36=62 Current State: 63:[63, 61, 62], Operations: ['98-36=62'] Exploring Operation: 62-61=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 62-61=1 Current State: 63:[63, 1], Operations: ['98-36=62', '62-61=1'] Exploring Operation: 63*1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 66, 11, 22, 13 ]
88
[ "66-22=44", "13-11=2", "44*2=88" ]
Current State: 88:[66, 11, 22, 13], Operations: [] Exploring Operation: 66-22=44, Resulting Numbers: [11, 13, 44] Generated Node #2: [11, 13, 44] from Operation: 66-22=44 Current State: 88:[11, 13, 44], Operations: ['66-22=44'] Exploring Operation: 13-11=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 13-11=2 Current State: 88:[44, 2], Operations: ['66-22=44', '13-11=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 33, 78, 3, 53 ]
46
[ "53-33=20", "78/3=26", "20+26=46" ]
Current State: 46:[33, 78, 3, 53], Operations: [] Exploring Operation: 53-33=20, Resulting Numbers: [78, 3, 20] Generated Node #2: [78, 3, 20] from Operation: 53-33=20 Current State: 46:[78, 3, 20], Operations: ['53-33=20'] Exploring Operation: 78/3=26, Resulting Numbers: [20, 26] Generated Node #3: [20, 26] from Operation: 78/3=26 Current State: 46:[20, 26], Operations: ['53-33=20', '78/3=26'] Exploring Operation: 20+26=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 3, 14, 62, 42 ]
68
[ "3+62=65", "42/14=3", "65+3=68" ]
Current State: 68:[3, 14, 62, 42], Operations: [] Exploring Operation: 3+62=65, Resulting Numbers: [14, 42, 65] Generated Node #2: [14, 42, 65] from Operation: 3+62=65 Current State: 68:[14, 42, 65], Operations: ['3+62=65'] Exploring Operation: 42/14=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 42/14=3 Current State: 68:[65, 3], Operations: ['3+62=65', '42/14=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 18, 45, 58, 81 ]
61
[ "45-18=27", "81/27=3", "58+3=61" ]
Current State: 61:[18, 45, 58, 81], Operations: [] Exploring Operation: 45-18=27, Resulting Numbers: [58, 81, 27] Generated Node #2: [58, 81, 27] from Operation: 45-18=27 Current State: 61:[58, 81, 27], Operations: ['45-18=27'] Exploring Operation: 81/27=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 81/27=3 Current State: 61:[58, 3], Operations: ['45-18=27', '81/27=3'] Exploring Operation: 58+3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 45, 5, 92, 95 ]
27
[ "45/5=9", "95-92=3", "9*3=27" ]
Current State: 27:[45, 5, 92, 95], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [92, 95, 9] Generated Node #2: [92, 95, 9] from Operation: 45/5=9 Current State: 27:[92, 95, 9], Operations: ['45/5=9'] Exploring Operation: 95-92=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 95-92=3 Current State: 27:[9, 3], Operations: ['45/5=9', '95-92=3'] Exploring Operation: 9*3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 14, 84, 57, 34 ]
98
[ "84-57=27", "34-27=7", "14*7=98" ]
Current State: 98:[14, 84, 57, 34], Operations: [] Exploring Operation: 84-57=27, Resulting Numbers: [14, 34, 27] Generated Node #2: [14, 34, 27] from Operation: 84-57=27 Current State: 98:[14, 34, 27], Operations: ['84-57=27'] Exploring Operation: 34-27=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 34-27=7 Current State: 98:[14, 7], Operations: ['84-57=27', '34-27=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 90, 75, 63, 61 ]
20
[ "75-61=14", "90*14=1260", "1260/63=20" ]
Current State: 20:[90, 75, 63, 61], Operations: [] Exploring Operation: 75-61=14, Resulting Numbers: [90, 63, 14] Generated Node #2: [90, 63, 14] from Operation: 75-61=14 Current State: 20:[90, 63, 14], Operations: ['75-61=14'] Exploring Operation: 90*14=1260, Resulting Numbers: [63, 1260] Generated Node #3: [63, 1260] from Operation: 90*14=1260 Current State: 20:[63, 1260], Operations: ['75-61=14', '90*14=1260'] Exploring Operation: 1260/63=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 94, 15, 2, 18 ]
59
[ "94-15=79", "2+18=20", "79-20=59" ]
Current State: 59:[94, 15, 2, 18], Operations: [] Exploring Operation: 94-15=79, Resulting Numbers: [2, 18, 79] Generated Node #2: [2, 18, 79] from Operation: 94-15=79 Current State: 59:[2, 18, 79], Operations: ['94-15=79'] Exploring Operation: 2+18=20, Resulting Numbers: [79, 20] Generated Node #3: [79, 20] from Operation: 2+18=20 Current State: 59:[79, 20], Operations: ['94-15=79', '2+18=20'] Exploring Operation: 79-20=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 3, 17, 67, 64 ]
23
[ "3+17=20", "67-64=3", "20+3=23" ]
Current State: 23:[3, 17, 67, 64], Operations: [] Exploring Operation: 3+17=20, Resulting Numbers: [67, 64, 20] Generated Node #2: [67, 64, 20] from Operation: 3+17=20 Current State: 23:[67, 64, 20], Operations: ['3+17=20'] Exploring Operation: 67-64=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 67-64=3 Current State: 23:[20, 3], Operations: ['3+17=20', '67-64=3'] Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 48, 37, 79, 3 ]
58
[ "48/3=16", "79-37=42", "16+42=58" ]
Current State: 58:[48, 37, 79, 3], Operations: [] Exploring Operation: 48/3=16, Resulting Numbers: [37, 79, 16] Generated Node #2: [37, 79, 16] from Operation: 48/3=16 Current State: 58:[37, 79, 16], Operations: ['48/3=16'] Exploring Operation: 79-37=42, Resulting Numbers: [16, 42] Generated Node #3: [16, 42] from Operation: 79-37=42 Current State: 58:[16, 42], Operations: ['48/3=16', '79-37=42'] Exploring Operation: 16+42=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 6, 72, 41, 31 ]
68
[ "6+72=78", "41-31=10", "78-10=68" ]
Current State: 68:[6, 72, 41, 31], Operations: [] Exploring Operation: 6+72=78, Resulting Numbers: [41, 31, 78] Generated Node #2: [41, 31, 78] from Operation: 6+72=78 Current State: 68:[41, 31, 78], Operations: ['6+72=78'] Exploring Operation: 41-31=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 41-31=10 Current State: 68:[78, 10], Operations: ['6+72=78', '41-31=10'] Exploring Operation: 78-10=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 27, 89, 46, 35 ]
19
[ "89-27=62", "46+35=81", "81-62=19" ]
Current State: 19:[27, 89, 46, 35], Operations: [] Exploring Operation: 89-27=62, Resulting Numbers: [46, 35, 62] Generated Node #2: [46, 35, 62] from Operation: 89-27=62 Current State: 19:[46, 35, 62], Operations: ['89-27=62'] Exploring Operation: 46+35=81, Resulting Numbers: [62, 81] Generated Node #3: [62, 81] from Operation: 46+35=81 Current State: 19:[62, 81], Operations: ['89-27=62', '46+35=81'] Exploring Operation: 81-62=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 61, 15, 2, 51 ]
11
[ "51-15=36", "2*36=72", "72-61=11" ]
Current State: 11:[61, 15, 2, 51], Operations: [] Exploring Operation: 51-15=36, Resulting Numbers: [61, 2, 36] Generated Node #2: [61, 2, 36] from Operation: 51-15=36 Current State: 11:[61, 2, 36], Operations: ['51-15=36'] Exploring Operation: 2*36=72, Resulting Numbers: [61, 72] Generated Node #3: [61, 72] from Operation: 2*36=72 Current State: 11:[61, 72], Operations: ['51-15=36', '2*36=72'] Exploring Operation: 72-61=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4