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
[ 41, 36, 16, 14 ]
12
[ "41-14=27", "16*27=432", "432/36=12" ]
Current State: 12:[41, 36, 16, 14], Operations: [] Exploring Operation: 41-14=27, Resulting Numbers: [36, 16, 27] Generated Node #2: [36, 16, 27] from Operation: 41-14=27 Current State: 12:[36, 16, 27], Operations: ['41-14=27'] Exploring Operation: 16*27=432, Resulting Numbers: [36, 432] Generated Node #3: [36, 432] from Operation: 16*27=432 Current State: 12:[36, 432], Operations: ['41-14=27', '16*27=432'] Exploring Operation: 432/36=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 94, 74, 21, 32 ]
32
[ "94-74=20", "21-20=1", "32*1=32" ]
Current State: 32:[94, 74, 21, 32], Operations: [] Exploring Operation: 94-74=20, Resulting Numbers: [21, 32, 20] Generated Node #2: [21, 32, 20] from Operation: 94-74=20 Current State: 32:[21, 32, 20], Operations: ['94-74=20'] Exploring Operation: 21-20=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 21-20=1 Current State: 32:[32, 1], Operations: ['94-74=20', '21-20=1'] Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 70, 55, 3, 96 ]
37
[ "70-55=15", "96+15=111", "111/3=37" ]
Current State: 37:[70, 55, 3, 96], Operations: [] Exploring Operation: 70-55=15, Resulting Numbers: [3, 96, 15] Generated Node #2: [3, 96, 15] from Operation: 70-55=15 Current State: 37:[3, 96, 15], Operations: ['70-55=15'] Exploring Operation: 96+15=111, Resulting Numbers: [3, 111] Generated Node #3: [3, 111] from Operation: 96+15=111 Current State: 37:[3, 111], Operations: ['70-55=15', '96+15=111'] Exploring Operation: 111/3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 14, 56, 39, 41 ]
63
[ "41-39=2", "14/2=7", "56+7=63" ]
Current State: 63:[14, 56, 39, 41], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [14, 56, 2] Generated Node #2: [14, 56, 2] from Operation: 41-39=2 Current State: 63:[14, 56, 2], Operations: ['41-39=2'] Exploring Operation: 14/2=7, Resulting Numbers: [56, 7] Generated Node #3: [56, 7] from Operation: 14/2=7 Current State: 63:[56, 7], Operations: ['41-39=2', '14/2=7'] Exploring Operation: 56+7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 40, 11, 59, 52 ]
91
[ "11+59=70", "52*70=3640", "3640/40=91" ]
Current State: 91:[40, 11, 59, 52], Operations: [] Exploring Operation: 11+59=70, Resulting Numbers: [40, 52, 70] Generated Node #2: [40, 52, 70] from Operation: 11+59=70 Current State: 91:[40, 52, 70], Operations: ['11+59=70'] Exploring Operation: 52*70=3640, Resulting Numbers: [40, 3640] Generated Node #3: [40, 3640] from Operation: 52*70=3640 Current State: 91:[40, 3640], Operations: ['11+59=70', '52*70=3640'] Exploring Operation: 3640/40=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 78, 67, 35 ]
19
[ "78-35=43", "2*43=86", "86-67=19" ]
Current State: 19:[2, 78, 67, 35], Operations: [] Exploring Operation: 78-35=43, Resulting Numbers: [2, 67, 43] Generated Node #2: [2, 67, 43] from Operation: 78-35=43 Current State: 19:[2, 67, 43], Operations: ['78-35=43'] Exploring Operation: 2*43=86, Resulting Numbers: [67, 86] Generated Node #3: [67, 86] from Operation: 2*43=86 Current State: 19:[67, 86], Operations: ['78-35=43', '2*43=86'] Exploring Operation: 86-67=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 69, 85, 49, 23 ]
39
[ "69/23=3", "85-49=36", "3+36=39" ]
Current State: 39:[69, 85, 49, 23], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [85, 49, 3] Generated Node #2: [85, 49, 3] from Operation: 69/23=3 Current State: 39:[85, 49, 3], Operations: ['69/23=3'] Exploring Operation: 85-49=36, Resulting Numbers: [3, 36] Generated Node #3: [3, 36] from Operation: 85-49=36 Current State: 39:[3, 36], Operations: ['69/23=3', '85-49=36'] Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 44, 31, 65, 66 ]
56
[ "44+31=75", "65+66=131", "131-75=56" ]
Current State: 56:[44, 31, 65, 66], Operations: [] Exploring Operation: 44+31=75, Resulting Numbers: [65, 66, 75] Generated Node #2: [65, 66, 75] from Operation: 44+31=75 Current State: 56:[65, 66, 75], Operations: ['44+31=75'] Exploring Operation: 65+66=131, Resulting Numbers: [75, 131] Generated Node #3: [75, 131] from Operation: 65+66=131 Current State: 56:[75, 131], Operations: ['44+31=75', '65+66=131'] Exploring Operation: 131-75=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 40, 16, 3, 9 ]
24
[ "40*3=120", "16*9=144", "144-120=24" ]
Current State: 24:[40, 16, 3, 9], Operations: [] Exploring Operation: 40*3=120, Resulting Numbers: [16, 9, 120] Generated Node #2: [16, 9, 120] from Operation: 40*3=120 Current State: 24:[16, 9, 120], Operations: ['40*3=120'] Exploring Operation: 16*9=144, Resulting Numbers: [120, 144] Generated Node #3: [120, 144] from Operation: 16*9=144 Current State: 24:[120, 144], Operations: ['40*3=120', '16*9=144'] Exploring Operation: 144-120=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 82, 22, 6, 40 ]
44
[ "82+6=88", "88/22=4", "40+4=44" ]
Current State: 44:[82, 22, 6, 40], Operations: [] Exploring Operation: 82+6=88, Resulting Numbers: [22, 40, 88] Generated Node #2: [22, 40, 88] from Operation: 82+6=88 Current State: 44:[22, 40, 88], Operations: ['82+6=88'] Exploring Operation: 88/22=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 88/22=4 Current State: 44:[40, 4], Operations: ['82+6=88', '88/22=4'] Exploring Operation: 40+4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 13, 64, 76, 39 ]
39
[ "13+64=77", "77-76=1", "39*1=39" ]
Current State: 39:[13, 64, 76, 39], Operations: [] Exploring Operation: 13+64=77, Resulting Numbers: [76, 39, 77] Generated Node #2: [76, 39, 77] from Operation: 13+64=77 Current State: 39:[76, 39, 77], Operations: ['13+64=77'] Exploring Operation: 77-76=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 77-76=1 Current State: 39:[39, 1], Operations: ['13+64=77', '77-76=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 53, 53, 79, 96 ]
96
[ "53-53=0", "79*0=0", "96+0=96" ]
Current State: 96:[53, 53, 79, 96], Operations: [] Exploring Operation: 53-53=0, Resulting Numbers: [79, 96, 0] Generated Node #2: [79, 96, 0] from Operation: 53-53=0 Current State: 96:[79, 96, 0], Operations: ['53-53=0'] Exploring Operation: 79*0=0, Resulting Numbers: [96, 0] Generated Node #3: [96, 0] from Operation: 79*0=0 Current State: 96:[96, 0], Operations: ['53-53=0', '79*0=0'] Exploring Operation: 96+0=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 19, 14, 20, 22 ]
16
[ "20+22=42", "42/14=3", "19-3=16" ]
Current State: 16:[19, 14, 20, 22], Operations: [] Exploring Operation: 20+22=42, Resulting Numbers: [19, 14, 42] Generated Node #2: [19, 14, 42] from Operation: 20+22=42 Current State: 16:[19, 14, 42], Operations: ['20+22=42'] Exploring Operation: 42/14=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 42/14=3 Current State: 16:[19, 3], Operations: ['20+22=42', '42/14=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 29, 39, 93, 81 ]
80
[ "29+39=68", "93-81=12", "68+12=80" ]
Current State: 80:[29, 39, 93, 81], Operations: [] Exploring Operation: 29+39=68, Resulting Numbers: [93, 81, 68] Generated Node #2: [93, 81, 68] from Operation: 29+39=68 Current State: 80:[93, 81, 68], Operations: ['29+39=68'] Exploring Operation: 93-81=12, Resulting Numbers: [68, 12] Generated Node #3: [68, 12] from Operation: 93-81=12 Current State: 80:[68, 12], Operations: ['29+39=68', '93-81=12'] Exploring Operation: 68+12=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 79, 61, 8, 86 ]
62
[ "79+61=140", "86-8=78", "140-78=62" ]
Current State: 62:[79, 61, 8, 86], Operations: [] Exploring Operation: 79+61=140, Resulting Numbers: [8, 86, 140] Generated Node #2: [8, 86, 140] from Operation: 79+61=140 Current State: 62:[8, 86, 140], Operations: ['79+61=140'] Exploring Operation: 86-8=78, Resulting Numbers: [140, 78] Generated Node #3: [140, 78] from Operation: 86-8=78 Current State: 62:[140, 78], Operations: ['79+61=140', '86-8=78'] Exploring Operation: 140-78=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 19, 6, 81, 42 ]
57
[ "42-19=23", "6*23=138", "138-81=57" ]
Current State: 57:[19, 6, 81, 42], Operations: [] Exploring Operation: 42-19=23, Resulting Numbers: [6, 81, 23] Generated Node #2: [6, 81, 23] from Operation: 42-19=23 Current State: 57:[6, 81, 23], Operations: ['42-19=23'] Exploring Operation: 6*23=138, Resulting Numbers: [81, 138] Generated Node #3: [81, 138] from Operation: 6*23=138 Current State: 57:[81, 138], Operations: ['42-19=23', '6*23=138'] Exploring Operation: 138-81=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 11, 78, 4, 74 ]
28
[ "78-11=67", "74-67=7", "4*7=28" ]
Current State: 28:[11, 78, 4, 74], Operations: [] Exploring Operation: 78-11=67, Resulting Numbers: [4, 74, 67] Generated Node #2: [4, 74, 67] from Operation: 78-11=67 Current State: 28:[4, 74, 67], Operations: ['78-11=67'] Exploring Operation: 74-67=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 74-67=7 Current State: 28:[4, 7], Operations: ['78-11=67', '74-67=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 62, 73, 28, 22 ]
56
[ "73-62=11", "28*22=616", "616/11=56" ]
Current State: 56:[62, 73, 28, 22], Operations: [] Exploring Operation: 73-62=11, Resulting Numbers: [28, 22, 11] Generated Node #2: [28, 22, 11] from Operation: 73-62=11 Current State: 56:[28, 22, 11], Operations: ['73-62=11'] Exploring Operation: 28*22=616, Resulting Numbers: [11, 616] Generated Node #3: [11, 616] from Operation: 28*22=616 Current State: 56:[11, 616], Operations: ['73-62=11', '28*22=616'] Exploring Operation: 616/11=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 6, 67, 30, 52 ]
51
[ "6+67=73", "52-30=22", "73-22=51" ]
Current State: 51:[6, 67, 30, 52], Operations: [] Exploring Operation: 6+67=73, Resulting Numbers: [30, 52, 73] Generated Node #2: [30, 52, 73] from Operation: 6+67=73 Current State: 51:[30, 52, 73], Operations: ['6+67=73'] Exploring Operation: 52-30=22, Resulting Numbers: [73, 22] Generated Node #3: [73, 22] from Operation: 52-30=22 Current State: 51:[73, 22], Operations: ['6+67=73', '52-30=22'] Exploring Operation: 73-22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 34, 14, 96, 34 ]
17
[ "34+14=48", "96/48=2", "34/2=17" ]
Current State: 17:[34, 14, 96, 34], Operations: [] Exploring Operation: 34+14=48, Resulting Numbers: [96, 48] Generated Node #2: [96, 48] from Operation: 34+14=48 Current State: 17:[96, 48], Operations: ['34+14=48'] Exploring Operation: 96/48=2, Resulting Numbers: [2] 2,17 equal: Goal Reached Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 81, 13, 4, 74 ]
75
[ "4+74=78", "78/13=6", "81-6=75" ]
Current State: 75:[81, 13, 4, 74], Operations: [] Exploring Operation: 4+74=78, Resulting Numbers: [81, 13, 78] Generated Node #2: [81, 13, 78] from Operation: 4+74=78 Current State: 75:[81, 13, 78], Operations: ['4+74=78'] Exploring Operation: 78/13=6, Resulting Numbers: [81, 6] Generated Node #3: [81, 6] from Operation: 78/13=6 Current State: 75:[81, 6], Operations: ['4+74=78', '78/13=6'] Exploring Operation: 81-6=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 66, 84, 24, 44 ]
46
[ "66-24=42", "84/42=2", "44+2=46" ]
Current State: 46:[66, 84, 24, 44], Operations: [] Exploring Operation: 66-24=42, Resulting Numbers: [84, 44, 42] Generated Node #2: [84, 44, 42] from Operation: 66-24=42 Current State: 46:[84, 44, 42], Operations: ['66-24=42'] Exploring Operation: 84/42=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 84/42=2 Current State: 46:[44, 2], Operations: ['66-24=42', '84/42=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 3, 86, 4, 63 ]
91
[ "63-4=59", "3*59=177", "177-86=91" ]
Current State: 91:[3, 86, 4, 63], Operations: [] Exploring Operation: 63-4=59, Resulting Numbers: [3, 86, 59] Generated Node #2: [3, 86, 59] from Operation: 63-4=59 Current State: 91:[3, 86, 59], Operations: ['63-4=59'] Exploring Operation: 3*59=177, Resulting Numbers: [86, 177] Generated Node #3: [86, 177] from Operation: 3*59=177 Current State: 91:[86, 177], Operations: ['63-4=59', '3*59=177'] Exploring Operation: 177-86=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 11, 34, 34, 62 ]
52
[ "62-11=51", "34/34=1", "51+1=52" ]
Current State: 52:[11, 34, 34, 62], Operations: [] Exploring Operation: 62-11=51, Resulting Numbers: [34, 34, 51] Generated Node #2: [34, 34, 51] from Operation: 62-11=51 Current State: 52:[34, 34, 51], Operations: ['62-11=51'] Exploring Operation: 34/34=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 34/34=1 Current State: 52:[51, 1], Operations: ['62-11=51', '34/34=1'] Exploring Operation: 51+1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 15, 22, 57, 13 ]
81
[ "15+22=37", "57-13=44", "37+44=81" ]
Current State: 81:[15, 22, 57, 13], Operations: [] Exploring Operation: 15+22=37, Resulting Numbers: [57, 13, 37] Generated Node #2: [57, 13, 37] from Operation: 15+22=37 Current State: 81:[57, 13, 37], Operations: ['15+22=37'] Exploring Operation: 57-13=44, Resulting Numbers: [37, 44] Generated Node #3: [37, 44] from Operation: 57-13=44 Current State: 81:[37, 44], Operations: ['15+22=37', '57-13=44'] Exploring Operation: 37+44=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 75, 52, 14, 40 ]
77
[ "75-52=23", "14+40=54", "23+54=77" ]
Current State: 77:[75, 52, 14, 40], Operations: [] Exploring Operation: 75-52=23, Resulting Numbers: [14, 40, 23] Generated Node #2: [14, 40, 23] from Operation: 75-52=23 Current State: 77:[14, 40, 23], Operations: ['75-52=23'] Exploring Operation: 14+40=54, Resulting Numbers: [23, 54] Generated Node #3: [23, 54] from Operation: 14+40=54 Current State: 77:[23, 54], Operations: ['75-52=23', '14+40=54'] Exploring Operation: 23+54=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 40, 4, 30, 36 ]
61
[ "40+30=70", "36/4=9", "70-9=61" ]
Current State: 61:[40, 4, 30, 36], Operations: [] Exploring Operation: 40+30=70, Resulting Numbers: [4, 36, 70] Generated Node #2: [4, 36, 70] from Operation: 40+30=70 Current State: 61:[4, 36, 70], Operations: ['40+30=70'] Exploring Operation: 36/4=9, Resulting Numbers: [70, 9] Generated Node #3: [70, 9] from Operation: 36/4=9 Current State: 61:[70, 9], Operations: ['40+30=70', '36/4=9'] Exploring Operation: 70-9=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 80, 33, 70, 61 ]
56
[ "80-33=47", "70-61=9", "47+9=56" ]
Current State: 56:[80, 33, 70, 61], Operations: [] Exploring Operation: 80-33=47, Resulting Numbers: [70, 61, 47] Generated Node #2: [70, 61, 47] from Operation: 80-33=47 Current State: 56:[70, 61, 47], Operations: ['80-33=47'] Exploring Operation: 70-61=9, Resulting Numbers: [47, 9] Generated Node #3: [47, 9] from Operation: 70-61=9 Current State: 56:[47, 9], Operations: ['80-33=47', '70-61=9'] Exploring Operation: 47+9=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 36, 93, 28, 21 ]
80
[ "36+93=129", "28+21=49", "129-49=80" ]
Current State: 80:[36, 93, 28, 21], Operations: [] Exploring Operation: 36+93=129, Resulting Numbers: [28, 21, 129] Generated Node #2: [28, 21, 129] from Operation: 36+93=129 Current State: 80:[28, 21, 129], Operations: ['36+93=129'] Exploring Operation: 28+21=49, Resulting Numbers: [129, 49] Generated Node #3: [129, 49] from Operation: 28+21=49 Current State: 80:[129, 49], Operations: ['36+93=129', '28+21=49'] Exploring Operation: 129-49=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 56, 67, 77, 62 ]
60
[ "62-56=6", "77-67=10", "6*10=60" ]
Current State: 60:[56, 67, 77, 62], Operations: [] Exploring Operation: 62-56=6, Resulting Numbers: [67, 77, 6] Generated Node #2: [67, 77, 6] from Operation: 62-56=6 Current State: 60:[67, 77, 6], Operations: ['62-56=6'] Exploring Operation: 77-67=10, Resulting Numbers: [6, 10] Generated Node #3: [6, 10] from Operation: 77-67=10 Current State: 60:[6, 10], Operations: ['62-56=6', '77-67=10'] Exploring Operation: 6*10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 72, 55, 65, 67 ]
19
[ "72-55=17", "67-65=2", "17+2=19" ]
Current State: 19:[72, 55, 65, 67], Operations: [] Exploring Operation: 72-55=17, Resulting Numbers: [65, 67, 17] Generated Node #2: [65, 67, 17] from Operation: 72-55=17 Current State: 19:[65, 67, 17], Operations: ['72-55=17'] Exploring Operation: 67-65=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 67-65=2 Current State: 19:[17, 2], Operations: ['72-55=17', '67-65=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 54, 9, 62, 61 ]
78
[ "54-9=45", "62+61=123", "123-45=78" ]
Current State: 78:[54, 9, 62, 61], Operations: [] Exploring Operation: 54-9=45, Resulting Numbers: [62, 61, 45] Generated Node #2: [62, 61, 45] from Operation: 54-9=45 Current State: 78:[62, 61, 45], Operations: ['54-9=45'] Exploring Operation: 62+61=123, Resulting Numbers: [45, 123] Generated Node #3: [45, 123] from Operation: 62+61=123 Current State: 78:[45, 123], Operations: ['54-9=45', '62+61=123'] Exploring Operation: 123-45=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 70, 85, 1, 6 ]
84
[ "85-70=15", "15-1=14", "6*14=84" ]
Current State: 84:[70, 85, 1, 6], Operations: [] Exploring Operation: 85-70=15, Resulting Numbers: [1, 6, 15] Generated Node #2: [1, 6, 15] from Operation: 85-70=15 Current State: 84:[1, 6, 15], Operations: ['85-70=15'] Exploring Operation: 15-1=14, Resulting Numbers: [6, 14] Generated Node #3: [6, 14] from Operation: 15-1=14 Current State: 84:[6, 14], Operations: ['85-70=15', '15-1=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 47, 20, 11, 51 ]
89
[ "47-20=27", "11+51=62", "27+62=89" ]
Current State: 89:[47, 20, 11, 51], Operations: [] Exploring Operation: 47-20=27, Resulting Numbers: [11, 51, 27] Generated Node #2: [11, 51, 27] from Operation: 47-20=27 Current State: 89:[11, 51, 27], Operations: ['47-20=27'] Exploring Operation: 11+51=62, Resulting Numbers: [27, 62] Generated Node #3: [27, 62] from Operation: 11+51=62 Current State: 89:[27, 62], Operations: ['47-20=27', '11+51=62'] Exploring Operation: 27+62=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 2, 20, 71, 9 ]
50
[ "20+71=91", "9+91=100", "100/2=50" ]
Current State: 50:[2, 20, 71, 9], Operations: [] Exploring Operation: 20+71=91, Resulting Numbers: [2, 9, 91] Generated Node #2: [2, 9, 91] from Operation: 20+71=91 Current State: 50:[2, 9, 91], Operations: ['20+71=91'] Exploring Operation: 9+91=100, Resulting Numbers: [2, 100] Generated Node #3: [2, 100] from Operation: 9+91=100 Current State: 50:[2, 100], Operations: ['20+71=91', '9+91=100'] Exploring Operation: 100/2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 28, 10, 79, 6 ]
28
[ "10*79=790", "790-6=784", "784/28=28" ]
Current State: 28:[28, 10, 79, 6], Operations: [] Exploring Operation: 10*79=790, Resulting Numbers: [28, 6, 790] Generated Node #2: [28, 6, 790] from Operation: 10*79=790 Current State: 28:[28, 6, 790], Operations: ['10*79=790'] Exploring Operation: 790-6=784, Resulting Numbers: [28, 784] Generated Node #3: [28, 784] from Operation: 790-6=784 Current State: 28:[28, 784], Operations: ['10*79=790', '790-6=784'] Exploring Operation: 784/28=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 17, 23, 47, 51 ]
27
[ "51/17=3", "47-23=24", "3+24=27" ]
Current State: 27:[17, 23, 47, 51], Operations: [] Exploring Operation: 51/17=3, Resulting Numbers: [23, 47, 3] Generated Node #2: [23, 47, 3] from Operation: 51/17=3 Current State: 27:[23, 47, 3], Operations: ['51/17=3'] Exploring Operation: 47-23=24, Resulting Numbers: [3, 24] Generated Node #3: [3, 24] from Operation: 47-23=24 Current State: 27:[3, 24], Operations: ['51/17=3', '47-23=24'] Exploring Operation: 3+24=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 53, 29, 49, 3 ]
41
[ "53-29=24", "24/3=8", "49-8=41" ]
Current State: 41:[53, 29, 49, 3], Operations: [] Exploring Operation: 53-29=24, Resulting Numbers: [49, 3, 24] Generated Node #2: [49, 3, 24] from Operation: 53-29=24 Current State: 41:[49, 3, 24], Operations: ['53-29=24'] Exploring Operation: 24/3=8, Resulting Numbers: [49, 8] Generated Node #3: [49, 8] from Operation: 24/3=8 Current State: 41:[49, 8], Operations: ['53-29=24', '24/3=8'] Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 20, 49, 20, 82 ]
34
[ "20/20=1", "82-49=33", "1+33=34" ]
Current State: 34:[20, 49, 20, 82], Operations: [] Exploring Operation: 20/20=1, Resulting Numbers: [49, 82, 1] Generated Node #2: [49, 82, 1] from Operation: 20/20=1 Current State: 34:[49, 82, 1], Operations: ['20/20=1'] Exploring Operation: 82-49=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 82-49=33 Current State: 34:[1, 33], Operations: ['20/20=1', '82-49=33'] Exploring Operation: 1+33=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 63, 94, 63, 63 ]
96
[ "63+63=126", "126/63=2", "94+2=96" ]
Current State: 96:[63, 94, 63, 63], Operations: [] Exploring Operation: 63+63=126, Resulting Numbers: [94, 126] Generated Node #2: [94, 126] from Operation: 63+63=126 Current State: 96:[94, 126], Operations: ['63+63=126'] Exploring Operation: 126/63=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 126/63=2 Current State: 96:[94, 2], Operations: ['63+63=126', '126/63=2'] Exploring Operation: 94+2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 85, 29, 88, 2 ]
33
[ "88-29=59", "2*59=118", "118-85=33" ]
Current State: 33:[85, 29, 88, 2], Operations: [] Exploring Operation: 88-29=59, Resulting Numbers: [85, 2, 59] Generated Node #2: [85, 2, 59] from Operation: 88-29=59 Current State: 33:[85, 2, 59], Operations: ['88-29=59'] Exploring Operation: 2*59=118, Resulting Numbers: [85, 118] Generated Node #3: [85, 118] from Operation: 2*59=118 Current State: 33:[85, 118], Operations: ['88-29=59', '2*59=118'] Exploring Operation: 118-85=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 58, 56, 9, 11 ]
40
[ "58-56=2", "9+11=20", "2*20=40" ]
Current State: 40:[58, 56, 9, 11], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [9, 11, 2] Generated Node #2: [9, 11, 2] from Operation: 58-56=2 Current State: 40:[9, 11, 2], Operations: ['58-56=2'] Exploring Operation: 9+11=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 9+11=20 Current State: 40:[2, 20], Operations: ['58-56=2', '9+11=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 11, 3, 84, 39 ]
31
[ "11+3=14", "84-39=45", "45-14=31" ]
Current State: 31:[11, 3, 84, 39], Operations: [] Exploring Operation: 11+3=14, Resulting Numbers: [84, 39, 14] Generated Node #2: [84, 39, 14] from Operation: 11+3=14 Current State: 31:[84, 39, 14], Operations: ['11+3=14'] Exploring Operation: 84-39=45, Resulting Numbers: [14, 45] Generated Node #3: [14, 45] from Operation: 84-39=45 Current State: 31:[14, 45], Operations: ['11+3=14', '84-39=45'] Exploring Operation: 45-14=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 36, 66, 54, 48 ]
40
[ "66-54=12", "48/12=4", "36+4=40" ]
Current State: 40:[36, 66, 54, 48], Operations: [] Exploring Operation: 66-54=12, Resulting Numbers: [36, 48, 12] Generated Node #2: [36, 48, 12] from Operation: 66-54=12 Current State: 40:[36, 48, 12], Operations: ['66-54=12'] Exploring Operation: 48/12=4, Resulting Numbers: [36, 4] Generated Node #3: [36, 4] from Operation: 48/12=4 Current State: 40:[36, 4], Operations: ['66-54=12', '48/12=4'] Exploring Operation: 36+4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 31, 4, 62, 31 ]
70
[ "31+4=35", "62/31=2", "35*2=70" ]
Current State: 70:[31, 4, 62, 31], Operations: [] Exploring Operation: 31+4=35, Resulting Numbers: [62, 35] Generated Node #2: [62, 35] from Operation: 31+4=35 Current State: 70:[62, 35], Operations: ['31+4=35'] Exploring Operation: 62/31=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 62/31=2 Current State: 70:[35, 2], Operations: ['31+4=35', '62/31=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 88, 50, 18, 28 ]
77
[ "88*28=2464", "50-18=32", "2464/32=77" ]
Current State: 77:[88, 50, 18, 28], Operations: [] Exploring Operation: 88*28=2464, Resulting Numbers: [50, 18, 2464] Generated Node #2: [50, 18, 2464] from Operation: 88*28=2464 Current State: 77:[50, 18, 2464], Operations: ['88*28=2464'] Exploring Operation: 50-18=32, Resulting Numbers: [2464, 32] Generated Node #3: [2464, 32] from Operation: 50-18=32 Current State: 77:[2464, 32], Operations: ['88*28=2464', '50-18=32'] Exploring Operation: 2464/32=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 75, 25, 51, 6 ]
54
[ "75/25=3", "51+6=57", "57-3=54" ]
Current State: 54:[75, 25, 51, 6], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [51, 6, 3] Generated Node #2: [51, 6, 3] from Operation: 75/25=3 Current State: 54:[51, 6, 3], Operations: ['75/25=3'] Exploring Operation: 51+6=57, Resulting Numbers: [3, 57] Generated Node #3: [3, 57] from Operation: 51+6=57 Current State: 54:[3, 57], Operations: ['75/25=3', '51+6=57'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 11, 95, 25, 19 ]
99
[ "25+19=44", "44/11=4", "95+4=99" ]
Current State: 99:[11, 95, 25, 19], Operations: [] Exploring Operation: 25+19=44, Resulting Numbers: [11, 95, 44] Generated Node #2: [11, 95, 44] from Operation: 25+19=44 Current State: 99:[11, 95, 44], Operations: ['25+19=44'] Exploring Operation: 44/11=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 44/11=4 Current State: 99:[95, 4], Operations: ['25+19=44', '44/11=4'] Exploring Operation: 95+4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 36, 40, 38, 56 ]
96
[ "40-36=4", "38*4=152", "152-56=96" ]
Current State: 96:[36, 40, 38, 56], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [38, 56, 4] Generated Node #2: [38, 56, 4] from Operation: 40-36=4 Current State: 96:[38, 56, 4], Operations: ['40-36=4'] Exploring Operation: 38*4=152, Resulting Numbers: [56, 152] Generated Node #3: [56, 152] from Operation: 38*4=152 Current State: 96:[56, 152], Operations: ['40-36=4', '38*4=152'] Exploring Operation: 152-56=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 26, 61, 93, 87 ]
29
[ "61-26=35", "93-87=6", "35-6=29" ]
Current State: 29:[26, 61, 93, 87], Operations: [] Exploring Operation: 61-26=35, Resulting Numbers: [93, 87, 35] Generated Node #2: [93, 87, 35] from Operation: 61-26=35 Current State: 29:[93, 87, 35], Operations: ['61-26=35'] Exploring Operation: 93-87=6, Resulting Numbers: [35, 6] Generated Node #3: [35, 6] from Operation: 93-87=6 Current State: 29:[35, 6], Operations: ['61-26=35', '93-87=6'] Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 62, 6, 43, 4 ]
82
[ "62-43=19", "4*19=76", "6+76=82" ]
Current State: 82:[62, 6, 43, 4], Operations: [] Exploring Operation: 62-43=19, Resulting Numbers: [6, 4, 19] Generated Node #2: [6, 4, 19] from Operation: 62-43=19 Current State: 82:[6, 4, 19], Operations: ['62-43=19'] Exploring Operation: 4*19=76, Resulting Numbers: [6, 76] Generated Node #3: [6, 76] from Operation: 4*19=76 Current State: 82:[6, 76], Operations: ['62-43=19', '4*19=76'] Exploring Operation: 6+76=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 15, 2, 62, 68 ]
41
[ "15+68=83", "2*62=124", "124-83=41" ]
Current State: 41:[15, 2, 62, 68], Operations: [] Exploring Operation: 15+68=83, Resulting Numbers: [2, 62, 83] Generated Node #2: [2, 62, 83] from Operation: 15+68=83 Current State: 41:[2, 62, 83], Operations: ['15+68=83'] Exploring Operation: 2*62=124, Resulting Numbers: [83, 124] Generated Node #3: [83, 124] from Operation: 2*62=124 Current State: 41:[83, 124], Operations: ['15+68=83', '2*62=124'] Exploring Operation: 124-83=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 90, 72, 53, 22 ]
13
[ "90-72=18", "53-22=31", "31-18=13" ]
Current State: 13:[90, 72, 53, 22], Operations: [] Exploring Operation: 90-72=18, Resulting Numbers: [53, 22, 18] Generated Node #2: [53, 22, 18] from Operation: 90-72=18 Current State: 13:[53, 22, 18], Operations: ['90-72=18'] Exploring Operation: 53-22=31, Resulting Numbers: [18, 31] Generated Node #3: [18, 31] from Operation: 53-22=31 Current State: 13:[18, 31], Operations: ['90-72=18', '53-22=31'] Exploring Operation: 31-18=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 80, 84, 81, 27 ]
27
[ "84-80=4", "81+27=108", "108/4=27" ]
Current State: 27:[80, 84, 81, 27], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [81, 27, 4] Generated Node #2: [81, 27, 4] from Operation: 84-80=4 Current State: 27:[81, 27, 4], Operations: ['84-80=4'] Exploring Operation: 81+27=108, Resulting Numbers: [4, 108] Generated Node #3: [4, 108] from Operation: 81+27=108 Current State: 27:[4, 108], Operations: ['84-80=4', '81+27=108'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 45, 42, 14, 10 ]
15
[ "42/14=3", "10*3=30", "45-30=15" ]
Current State: 15:[45, 42, 14, 10], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [45, 10, 3] Generated Node #2: [45, 10, 3] from Operation: 42/14=3 Current State: 15:[45, 10, 3], Operations: ['42/14=3'] Exploring Operation: 10*3=30, Resulting Numbers: [45, 30] Generated Node #3: [45, 30] from Operation: 10*3=30 Current State: 15:[45, 30], Operations: ['42/14=3', '10*3=30'] Exploring Operation: 45-30=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 76, 85, 19, 72 ]
26
[ "76-72=4", "85+19=104", "104/4=26" ]
Current State: 26:[76, 85, 19, 72], Operations: [] Exploring Operation: 76-72=4, Resulting Numbers: [85, 19, 4] Generated Node #2: [85, 19, 4] from Operation: 76-72=4 Current State: 26:[85, 19, 4], Operations: ['76-72=4'] Exploring Operation: 85+19=104, Resulting Numbers: [4, 104] Generated Node #3: [4, 104] from Operation: 85+19=104 Current State: 26:[4, 104], Operations: ['76-72=4', '85+19=104'] Exploring Operation: 104/4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 63, 67, 17, 64 ]
38
[ "67-64=3", "63/3=21", "17+21=38" ]
Current State: 38:[63, 67, 17, 64], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [63, 17, 3] Generated Node #2: [63, 17, 3] from Operation: 67-64=3 Current State: 38:[63, 17, 3], Operations: ['67-64=3'] Exploring Operation: 63/3=21, Resulting Numbers: [17, 21] Generated Node #3: [17, 21] from Operation: 63/3=21 Current State: 38:[17, 21], Operations: ['67-64=3', '63/3=21'] Exploring Operation: 17+21=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 71, 43, 20, 48 ]
75
[ "48-43=5", "20/5=4", "71+4=75" ]
Current State: 75:[71, 43, 20, 48], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [71, 20, 5] Generated Node #2: [71, 20, 5] from Operation: 48-43=5 Current State: 75:[71, 20, 5], Operations: ['48-43=5'] Exploring Operation: 20/5=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 20/5=4 Current State: 75:[71, 4], Operations: ['48-43=5', '20/5=4'] Exploring Operation: 71+4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 49, 39, 12, 66 ]
47
[ "12+66=78", "78/39=2", "49-2=47" ]
Current State: 47:[49, 39, 12, 66], Operations: [] Exploring Operation: 12+66=78, Resulting Numbers: [49, 39, 78] Generated Node #2: [49, 39, 78] from Operation: 12+66=78 Current State: 47:[49, 39, 78], Operations: ['12+66=78'] Exploring Operation: 78/39=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 78/39=2 Current State: 47:[49, 2], Operations: ['12+66=78', '78/39=2'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 49, 9, 59, 38 ]
52
[ "59-49=10", "9*10=90", "90-38=52" ]
Current State: 52:[49, 9, 59, 38], Operations: [] Exploring Operation: 59-49=10, Resulting Numbers: [9, 38, 10] Generated Node #2: [9, 38, 10] from Operation: 59-49=10 Current State: 52:[9, 38, 10], Operations: ['59-49=10'] Exploring Operation: 9*10=90, Resulting Numbers: [38, 90] Generated Node #3: [38, 90] from Operation: 9*10=90 Current State: 52:[38, 90], Operations: ['59-49=10', '9*10=90'] Exploring Operation: 90-38=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 18, 56, 66, 14 ]
12
[ "66-18=48", "56/14=4", "48/4=12" ]
Current State: 12:[18, 56, 66, 14], Operations: [] Exploring Operation: 66-18=48, Resulting Numbers: [56, 14, 48] Generated Node #2: [56, 14, 48] from Operation: 66-18=48 Current State: 12:[56, 14, 48], Operations: ['66-18=48'] Exploring Operation: 56/14=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 56/14=4 Current State: 12:[48, 4], Operations: ['66-18=48', '56/14=4'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 19, 9, 19, 86 ]
95
[ "19+9=28", "86-19=67", "28+67=95" ]
Current State: 95:[19, 9, 19, 86], Operations: [] Exploring Operation: 19+9=28, Resulting Numbers: [86, 28] Generated Node #2: [86, 28] from Operation: 19+9=28 Current State: 95:[86, 28], Operations: ['19+9=28'] Exploring Operation: 86-19=67, Resulting Numbers: [28, 67] Generated Node #3: [28, 67] from Operation: 86-19=67 Current State: 95:[28, 67], Operations: ['19+9=28', '86-19=67'] Exploring Operation: 28+67=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 39, 35, 2, 4 ]
99
[ "39+2=41", "35*4=140", "140-41=99" ]
Current State: 99:[39, 35, 2, 4], Operations: [] Exploring Operation: 39+2=41, Resulting Numbers: [35, 4, 41] Generated Node #2: [35, 4, 41] from Operation: 39+2=41 Current State: 99:[35, 4, 41], Operations: ['39+2=41'] Exploring Operation: 35*4=140, Resulting Numbers: [41, 140] Generated Node #3: [41, 140] from Operation: 35*4=140 Current State: 99:[41, 140], Operations: ['39+2=41', '35*4=140'] Exploring Operation: 140-41=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 9, 71, 36, 10 ]
57
[ "36/9=4", "71-10=61", "61-4=57" ]
Current State: 57:[9, 71, 36, 10], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [71, 10, 4] Generated Node #2: [71, 10, 4] from Operation: 36/9=4 Current State: 57:[71, 10, 4], Operations: ['36/9=4'] Exploring Operation: 71-10=61, Resulting Numbers: [4, 61] Generated Node #3: [4, 61] from Operation: 71-10=61 Current State: 57:[4, 61], Operations: ['36/9=4', '71-10=61'] Exploring Operation: 61-4=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 18, 64, 34, 73 ]
43
[ "18+64=82", "73-34=39", "82-39=43" ]
Current State: 43:[18, 64, 34, 73], Operations: [] Exploring Operation: 18+64=82, Resulting Numbers: [34, 73, 82] Generated Node #2: [34, 73, 82] from Operation: 18+64=82 Current State: 43:[34, 73, 82], Operations: ['18+64=82'] Exploring Operation: 73-34=39, Resulting Numbers: [82, 39] Generated Node #3: [82, 39] from Operation: 73-34=39 Current State: 43:[82, 39], Operations: ['18+64=82', '73-34=39'] Exploring Operation: 82-39=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 36, 18, 48, 6 ]
80
[ "36-6=30", "48*30=1440", "1440/18=80" ]
Current State: 80:[36, 18, 48, 6], Operations: [] Exploring Operation: 36-6=30, Resulting Numbers: [18, 48, 30] Generated Node #2: [18, 48, 30] from Operation: 36-6=30 Current State: 80:[18, 48, 30], Operations: ['36-6=30'] Exploring Operation: 48*30=1440, Resulting Numbers: [18, 1440] Generated Node #3: [18, 1440] from Operation: 48*30=1440 Current State: 80:[18, 1440], Operations: ['36-6=30', '48*30=1440'] Exploring Operation: 1440/18=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 37, 15, 46, 3 ]
45
[ "46-37=9", "15/3=5", "9*5=45" ]
Current State: 45:[37, 15, 46, 3], Operations: [] Exploring Operation: 46-37=9, Resulting Numbers: [15, 3, 9] Generated Node #2: [15, 3, 9] from Operation: 46-37=9 Current State: 45:[15, 3, 9], Operations: ['46-37=9'] Exploring Operation: 15/3=5, Resulting Numbers: [9, 5] Generated Node #3: [9, 5] from Operation: 15/3=5 Current State: 45:[9, 5], Operations: ['46-37=9', '15/3=5'] Exploring Operation: 9*5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 43, 62, 35, 25 ]
28
[ "43+62=105", "105/35=3", "25+3=28" ]
Current State: 28:[43, 62, 35, 25], Operations: [] Exploring Operation: 43+62=105, Resulting Numbers: [35, 25, 105] Generated Node #2: [35, 25, 105] from Operation: 43+62=105 Current State: 28:[35, 25, 105], Operations: ['43+62=105'] Exploring Operation: 105/35=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 105/35=3 Current State: 28:[25, 3], Operations: ['43+62=105', '105/35=3'] Exploring Operation: 25+3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 4, 67, 28, 22 ]
21
[ "4+67=71", "28+22=50", "71-50=21" ]
Current State: 21:[4, 67, 28, 22], Operations: [] Exploring Operation: 4+67=71, Resulting Numbers: [28, 22, 71] Generated Node #2: [28, 22, 71] from Operation: 4+67=71 Current State: 21:[28, 22, 71], Operations: ['4+67=71'] Exploring Operation: 28+22=50, Resulting Numbers: [71, 50] Generated Node #3: [71, 50] from Operation: 28+22=50 Current State: 21:[71, 50], Operations: ['4+67=71', '28+22=50'] Exploring Operation: 71-50=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 9, 6, 70, 48 ]
38
[ "6*48=288", "288/9=32", "70-32=38" ]
Current State: 38:[9, 6, 70, 48], Operations: [] Exploring Operation: 6*48=288, Resulting Numbers: [9, 70, 288] Generated Node #2: [9, 70, 288] from Operation: 6*48=288 Current State: 38:[9, 70, 288], Operations: ['6*48=288'] Exploring Operation: 288/9=32, Resulting Numbers: [70, 32] Generated Node #3: [70, 32] from Operation: 288/9=32 Current State: 38:[70, 32], Operations: ['6*48=288', '288/9=32'] Exploring Operation: 70-32=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 19, 64, 20, 76 ]
80
[ "76/19=4", "64+20=84", "84-4=80" ]
Current State: 80:[19, 64, 20, 76], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [64, 20, 4] Generated Node #2: [64, 20, 4] from Operation: 76/19=4 Current State: 80:[64, 20, 4], Operations: ['76/19=4'] Exploring Operation: 64+20=84, Resulting Numbers: [4, 84] Generated Node #3: [4, 84] from Operation: 64+20=84 Current State: 80:[4, 84], Operations: ['76/19=4', '64+20=84'] Exploring Operation: 84-4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 12, 70, 85, 34 ]
16
[ "70*34=2380", "2380/85=28", "28-12=16" ]
Current State: 16:[12, 70, 85, 34], Operations: [] Exploring Operation: 70*34=2380, Resulting Numbers: [12, 85, 2380] Generated Node #2: [12, 85, 2380] from Operation: 70*34=2380 Current State: 16:[12, 85, 2380], Operations: ['70*34=2380'] Exploring Operation: 2380/85=28, Resulting Numbers: [12, 28] Generated Node #3: [12, 28] from Operation: 2380/85=28 Current State: 16:[12, 28], Operations: ['70*34=2380', '2380/85=28'] Exploring Operation: 28-12=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 25, 80, 6, 9 ]
16
[ "25+80=105", "105-9=96", "96/6=16" ]
Current State: 16:[25, 80, 6, 9], Operations: [] Exploring Operation: 25+80=105, Resulting Numbers: [6, 9, 105] Generated Node #2: [6, 9, 105] from Operation: 25+80=105 Current State: 16:[6, 9, 105], Operations: ['25+80=105'] Exploring Operation: 105-9=96, Resulting Numbers: [6, 96] Generated Node #3: [6, 96] from Operation: 105-9=96 Current State: 16:[6, 96], Operations: ['25+80=105', '105-9=96'] Exploring Operation: 96/6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 53, 83, 2, 83 ]
51
[ "53+83=136", "2+83=85", "136-85=51" ]
Current State: 51:[53, 83, 2, 83], Operations: [] Exploring Operation: 53+83=136, Resulting Numbers: [2, 136] Generated Node #2: [2, 136] from Operation: 53+83=136 Current State: 51:[2, 136], Operations: ['53+83=136'] Exploring Operation: 2+83=85, Resulting Numbers: [136, 85] Generated Node #3: [136, 85] from Operation: 2+83=85 Current State: 51:[136, 85], Operations: ['53+83=136', '2+83=85'] Exploring Operation: 136-85=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 49, 74, 21, 35 ]
59
[ "21*35=735", "735/49=15", "74-15=59" ]
Current State: 59:[49, 74, 21, 35], Operations: [] Exploring Operation: 21*35=735, Resulting Numbers: [49, 74, 735] Generated Node #2: [49, 74, 735] from Operation: 21*35=735 Current State: 59:[49, 74, 735], Operations: ['21*35=735'] Exploring Operation: 735/49=15, Resulting Numbers: [74, 15] Generated Node #3: [74, 15] from Operation: 735/49=15 Current State: 59:[74, 15], Operations: ['21*35=735', '735/49=15'] Exploring Operation: 74-15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 72, 33, 32, 88 ]
66
[ "88-72=16", "33*32=1056", "1056/16=66" ]
Current State: 66:[72, 33, 32, 88], Operations: [] Exploring Operation: 88-72=16, Resulting Numbers: [33, 32, 16] Generated Node #2: [33, 32, 16] from Operation: 88-72=16 Current State: 66:[33, 32, 16], Operations: ['88-72=16'] Exploring Operation: 33*32=1056, Resulting Numbers: [16, 1056] Generated Node #3: [16, 1056] from Operation: 33*32=1056 Current State: 66:[16, 1056], Operations: ['88-72=16', '33*32=1056'] Exploring Operation: 1056/16=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 28, 84, 92, 26 ]
22
[ "84/28=3", "92-26=66", "66/3=22" ]
Current State: 22:[28, 84, 92, 26], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [92, 26, 3] Generated Node #2: [92, 26, 3] from Operation: 84/28=3 Current State: 22:[92, 26, 3], Operations: ['84/28=3'] Exploring Operation: 92-26=66, Resulting Numbers: [3, 66] Generated Node #3: [3, 66] from Operation: 92-26=66 Current State: 22:[3, 66], Operations: ['84/28=3', '92-26=66'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 38, 4, 13, 62 ]
78
[ "62-38=24", "24/4=6", "13*6=78" ]
Current State: 78:[38, 4, 13, 62], Operations: [] Exploring Operation: 62-38=24, Resulting Numbers: [4, 13, 24] Generated Node #2: [4, 13, 24] from Operation: 62-38=24 Current State: 78:[4, 13, 24], Operations: ['62-38=24'] Exploring Operation: 24/4=6, Resulting Numbers: [13, 6] Generated Node #3: [13, 6] from Operation: 24/4=6 Current State: 78:[13, 6], Operations: ['62-38=24', '24/4=6'] Exploring Operation: 13*6=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 26, 63, 74, 54 ]
57
[ "63-26=37", "74-54=20", "37+20=57" ]
Current State: 57:[26, 63, 74, 54], Operations: [] Exploring Operation: 63-26=37, Resulting Numbers: [74, 54, 37] Generated Node #2: [74, 54, 37] from Operation: 63-26=37 Current State: 57:[74, 54, 37], Operations: ['63-26=37'] Exploring Operation: 74-54=20, Resulting Numbers: [37, 20] Generated Node #3: [37, 20] from Operation: 74-54=20 Current State: 57:[37, 20], Operations: ['63-26=37', '74-54=20'] Exploring Operation: 37+20=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 26, 81, 63, 38 ]
30
[ "81-26=55", "63-38=25", "55-25=30" ]
Current State: 30:[26, 81, 63, 38], Operations: [] Exploring Operation: 81-26=55, Resulting Numbers: [63, 38, 55] Generated Node #2: [63, 38, 55] from Operation: 81-26=55 Current State: 30:[63, 38, 55], Operations: ['81-26=55'] Exploring Operation: 63-38=25, Resulting Numbers: [55, 25] Generated Node #3: [55, 25] from Operation: 63-38=25 Current State: 30:[55, 25], Operations: ['81-26=55', '63-38=25'] Exploring Operation: 55-25=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 92, 33, 82, 66 ]
89
[ "92-33=59", "82+66=148", "148-59=89" ]
Current State: 89:[92, 33, 82, 66], Operations: [] Exploring Operation: 92-33=59, Resulting Numbers: [82, 66, 59] Generated Node #2: [82, 66, 59] from Operation: 92-33=59 Current State: 89:[82, 66, 59], Operations: ['92-33=59'] Exploring Operation: 82+66=148, Resulting Numbers: [59, 148] Generated Node #3: [59, 148] from Operation: 82+66=148 Current State: 89:[59, 148], Operations: ['92-33=59', '82+66=148'] Exploring Operation: 148-59=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 7, 8, 80, 81 ]
21
[ "7+80=87", "81+87=168", "168/8=21" ]
Current State: 21:[7, 8, 80, 81], Operations: [] Exploring Operation: 7+80=87, Resulting Numbers: [8, 81, 87] Generated Node #2: [8, 81, 87] from Operation: 7+80=87 Current State: 21:[8, 81, 87], Operations: ['7+80=87'] Exploring Operation: 81+87=168, Resulting Numbers: [8, 168] Generated Node #3: [8, 168] from Operation: 81+87=168 Current State: 21:[8, 168], Operations: ['7+80=87', '81+87=168'] Exploring Operation: 168/8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 15, 3, 50, 27 ]
44
[ "50-15=35", "27/3=9", "35+9=44" ]
Current State: 44:[15, 3, 50, 27], Operations: [] Exploring Operation: 50-15=35, Resulting Numbers: [3, 27, 35] Generated Node #2: [3, 27, 35] from Operation: 50-15=35 Current State: 44:[3, 27, 35], Operations: ['50-15=35'] Exploring Operation: 27/3=9, Resulting Numbers: [35, 9] Generated Node #3: [35, 9] from Operation: 27/3=9 Current State: 44:[35, 9], Operations: ['50-15=35', '27/3=9'] Exploring Operation: 35+9=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 93, 87, 3, 36 ]
38
[ "93-87=6", "6/3=2", "36+2=38" ]
Current State: 38:[93, 87, 3, 36], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [3, 36, 6] Generated Node #2: [3, 36, 6] from Operation: 93-87=6 Current State: 38:[3, 36, 6], Operations: ['93-87=6'] Exploring Operation: 6/3=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 6/3=2 Current State: 38:[36, 2], Operations: ['93-87=6', '6/3=2'] Exploring Operation: 36+2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 86, 26, 80, 28 ]
76
[ "86+26=112", "112/28=4", "80-4=76" ]
Current State: 76:[86, 26, 80, 28], Operations: [] Exploring Operation: 86+26=112, Resulting Numbers: [80, 28, 112] Generated Node #2: [80, 28, 112] from Operation: 86+26=112 Current State: 76:[80, 28, 112], Operations: ['86+26=112'] Exploring Operation: 112/28=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 112/28=4 Current State: 76:[80, 4], Operations: ['86+26=112', '112/28=4'] Exploring Operation: 80-4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 74, 50, 96, 73 ]
72
[ "50+96=146", "146/73=2", "74-2=72" ]
Current State: 72:[74, 50, 96, 73], Operations: [] Exploring Operation: 50+96=146, Resulting Numbers: [74, 73, 146] Generated Node #2: [74, 73, 146] from Operation: 50+96=146 Current State: 72:[74, 73, 146], Operations: ['50+96=146'] Exploring Operation: 146/73=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 146/73=2 Current State: 72:[74, 2], Operations: ['50+96=146', '146/73=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 7, 5, 55, 88 ]
74
[ "7+88=95", "95/5=19", "55+19=74" ]
Current State: 74:[7, 5, 55, 88], Operations: [] Exploring Operation: 7+88=95, Resulting Numbers: [5, 55, 95] Generated Node #2: [5, 55, 95] from Operation: 7+88=95 Current State: 74:[5, 55, 95], Operations: ['7+88=95'] Exploring Operation: 95/5=19, Resulting Numbers: [55, 19] Generated Node #3: [55, 19] from Operation: 95/5=19 Current State: 74:[55, 19], Operations: ['7+88=95', '95/5=19'] Exploring Operation: 55+19=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 18, 2, 61, 80 ]
24
[ "18+80=98", "2*61=122", "122-98=24" ]
Current State: 24:[18, 2, 61, 80], Operations: [] Exploring Operation: 18+80=98, Resulting Numbers: [2, 61, 98] Generated Node #2: [2, 61, 98] from Operation: 18+80=98 Current State: 24:[2, 61, 98], Operations: ['18+80=98'] Exploring Operation: 2*61=122, Resulting Numbers: [98, 122] Generated Node #3: [98, 122] from Operation: 2*61=122 Current State: 24:[98, 122], Operations: ['18+80=98', '2*61=122'] Exploring Operation: 122-98=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 93, 56, 75 ]
14
[ "93-14=79", "79-75=4", "56/4=14" ]
Current State: 14:[14, 93, 56, 75], Operations: [] Exploring Operation: 93-14=79, Resulting Numbers: [56, 75, 79] Generated Node #2: [56, 75, 79] from Operation: 93-14=79 Current State: 14:[56, 75, 79], Operations: ['93-14=79'] Exploring Operation: 79-75=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 79-75=4 Current State: 14:[56, 4], Operations: ['93-14=79', '79-75=4'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 10, 75, 56, 36 ]
77
[ "56-36=20", "20/10=2", "75+2=77" ]
Current State: 77:[10, 75, 56, 36], Operations: [] Exploring Operation: 56-36=20, Resulting Numbers: [10, 75, 20] Generated Node #2: [10, 75, 20] from Operation: 56-36=20 Current State: 77:[10, 75, 20], Operations: ['56-36=20'] Exploring Operation: 20/10=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 20/10=2 Current State: 77:[75, 2], Operations: ['56-36=20', '20/10=2'] Exploring Operation: 75+2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 11, 4, 48, 51 ]
97
[ "48-11=37", "4*37=148", "148-51=97" ]
Current State: 97:[11, 4, 48, 51], Operations: [] Exploring Operation: 48-11=37, Resulting Numbers: [4, 51, 37] Generated Node #2: [4, 51, 37] from Operation: 48-11=37 Current State: 97:[4, 51, 37], Operations: ['48-11=37'] Exploring Operation: 4*37=148, Resulting Numbers: [51, 148] Generated Node #3: [51, 148] from Operation: 4*37=148 Current State: 97:[51, 148], Operations: ['48-11=37', '4*37=148'] Exploring Operation: 148-51=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 82, 55, 33, 76 ]
70
[ "82-55=27", "76-33=43", "27+43=70" ]
Current State: 70:[82, 55, 33, 76], Operations: [] Exploring Operation: 82-55=27, Resulting Numbers: [33, 76, 27] Generated Node #2: [33, 76, 27] from Operation: 82-55=27 Current State: 70:[33, 76, 27], Operations: ['82-55=27'] Exploring Operation: 76-33=43, Resulting Numbers: [27, 43] Generated Node #3: [27, 43] from Operation: 76-33=43 Current State: 70:[27, 43], Operations: ['82-55=27', '76-33=43'] Exploring Operation: 27+43=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 34, 78, 41, 63 ]
18
[ "34*63=2142", "78+41=119", "2142/119=18" ]
Current State: 18:[34, 78, 41, 63], Operations: [] Exploring Operation: 34*63=2142, Resulting Numbers: [78, 41, 2142] Generated Node #2: [78, 41, 2142] from Operation: 34*63=2142 Current State: 18:[78, 41, 2142], Operations: ['34*63=2142'] Exploring Operation: 78+41=119, Resulting Numbers: [2142, 119] Generated Node #3: [2142, 119] from Operation: 78+41=119 Current State: 18:[2142, 119], Operations: ['34*63=2142', '78+41=119'] Exploring Operation: 2142/119=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 7, 92, 88, 43 ]
46
[ "92-7=85", "88+43=131", "131-85=46" ]
Current State: 46:[7, 92, 88, 43], Operations: [] Exploring Operation: 92-7=85, Resulting Numbers: [88, 43, 85] Generated Node #2: [88, 43, 85] from Operation: 92-7=85 Current State: 46:[88, 43, 85], Operations: ['92-7=85'] Exploring Operation: 88+43=131, Resulting Numbers: [85, 131] Generated Node #3: [85, 131] from Operation: 88+43=131 Current State: 46:[85, 131], Operations: ['92-7=85', '88+43=131'] Exploring Operation: 131-85=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 41, 75, 18, 54 ]
15
[ "41+18=59", "59-54=5", "75/5=15" ]
Current State: 15:[41, 75, 18, 54], Operations: [] Exploring Operation: 41+18=59, Resulting Numbers: [75, 54, 59] Generated Node #2: [75, 54, 59] from Operation: 41+18=59 Current State: 15:[75, 54, 59], Operations: ['41+18=59'] Exploring Operation: 59-54=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 59-54=5 Current State: 15:[75, 5], Operations: ['41+18=59', '59-54=5'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 12, 35, 78, 1 ]
81
[ "35+1=36", "36/12=3", "78+3=81" ]
Current State: 81:[12, 35, 78, 1], Operations: [] Exploring Operation: 35+1=36, Resulting Numbers: [12, 78, 36] Generated Node #2: [12, 78, 36] from Operation: 35+1=36 Current State: 81:[12, 78, 36], Operations: ['35+1=36'] Exploring Operation: 36/12=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 36/12=3 Current State: 81:[78, 3], Operations: ['35+1=36', '36/12=3'] Exploring Operation: 78+3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 56, 63, 83, 75 ]
77
[ "56*83=4648", "63*75=4725", "4725-4648=77" ]
Current State: 77:[56, 63, 83, 75], Operations: [] Exploring Operation: 56*83=4648, Resulting Numbers: [63, 75, 4648] Generated Node #2: [63, 75, 4648] from Operation: 56*83=4648 Current State: 77:[63, 75, 4648], Operations: ['56*83=4648'] Exploring Operation: 63*75=4725, Resulting Numbers: [4648, 4725] Generated Node #3: [4648, 4725] from Operation: 63*75=4725 Current State: 77:[4648, 4725], Operations: ['56*83=4648', '63*75=4725'] Exploring Operation: 4725-4648=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 15, 30, 23, 2 ]
91
[ "15+30=45", "23*2=46", "45+46=91" ]
Current State: 91:[15, 30, 23, 2], Operations: [] Exploring Operation: 15+30=45, Resulting Numbers: [23, 2, 45] Generated Node #2: [23, 2, 45] from Operation: 15+30=45 Current State: 91:[23, 2, 45], Operations: ['15+30=45'] Exploring Operation: 23*2=46, Resulting Numbers: [45, 46] Generated Node #3: [45, 46] from Operation: 23*2=46 Current State: 91:[45, 46], Operations: ['15+30=45', '23*2=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 72, 71, 44, 68 ]
68
[ "71-68=3", "72/3=24", "44+24=68" ]
Current State: 68:[72, 71, 44, 68], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [72, 44, 3] Generated Node #2: [72, 44, 3] from Operation: 71-68=3 Current State: 68:[72, 44, 3], Operations: ['71-68=3'] Exploring Operation: 72/3=24, Resulting Numbers: [44, 24] Generated Node #3: [44, 24] from Operation: 72/3=24 Current State: 68:[44, 24], Operations: ['71-68=3', '72/3=24'] Exploring Operation: 44+24=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 7, 8, 86, 13 ]
38
[ "13-7=6", "8*6=48", "86-48=38" ]
Current State: 38:[7, 8, 86, 13], Operations: [] Exploring Operation: 13-7=6, Resulting Numbers: [8, 86, 6] Generated Node #2: [8, 86, 6] from Operation: 13-7=6 Current State: 38:[8, 86, 6], Operations: ['13-7=6'] Exploring Operation: 8*6=48, Resulting Numbers: [86, 48] Generated Node #3: [86, 48] from Operation: 8*6=48 Current State: 38:[86, 48], Operations: ['13-7=6', '8*6=48'] Exploring Operation: 86-48=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4