Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 12, 21, 40, 42 ]
30
[ "40-12=28", "42/21=2", "28+2=30" ]
Current State: 30:[12, 21, 40, 42], Operations: [] Exploring Operation: 40-12=28, Resulting Numbers: [21, 42, 28] Generated Node #2: [21, 42, 28] from Operation: 40-12=28 Current State: 30:[21, 42, 28], Operations: ['40-12=28'] Exploring Operation: 42/21=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 42/21=2 Current State: 30:[28, 2], Operations: ['40-12=28', '42/21=2'] Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 94, 8, 80, 34 ]
83
[ "94+8=102", "102/34=3", "80+3=83" ]
Current State: 83:[94, 8, 80, 34], Operations: [] Exploring Operation: 94+8=102, Resulting Numbers: [80, 34, 102] Generated Node #2: [80, 34, 102] from Operation: 94+8=102 Current State: 83:[80, 34, 102], Operations: ['94+8=102'] Exploring Operation: 102/34=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 102/34=3 Current State: 83:[80, 3], Operations: ['94+8=102', '102/34=3'] Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 62, 95, 55, 20 ]
64
[ "95-55=40", "40/20=2", "62+2=64" ]
Current State: 64:[62, 95, 55, 20], Operations: [] Exploring Operation: 95-55=40, Resulting Numbers: [62, 20, 40] Generated Node #2: [62, 20, 40] from Operation: 95-55=40 Current State: 64:[62, 20, 40], Operations: ['95-55=40'] Exploring Operation: 40/20=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 40/20=2 Current State: 64:[62, 2], Operations: ['95-55=40', '40/20=2'] Exploring Operation: 62+2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 53, 11, 33, 72 ]
81
[ "53-11=42", "72-33=39", "42+39=81" ]
Current State: 81:[53, 11, 33, 72], Operations: [] Exploring Operation: 53-11=42, Resulting Numbers: [33, 72, 42] Generated Node #2: [33, 72, 42] from Operation: 53-11=42 Current State: 81:[33, 72, 42], Operations: ['53-11=42'] Exploring Operation: 72-33=39, Resulting Numbers: [42, 39] Generated Node #3: [42, 39] from Operation: 72-33=39 Current State: 81:[42, 39], Operations: ['53-11=42', '72-33=39'] Exploring Operation: 42+39=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 11, 14, 24, 33 ]
22
[ "11*24=264", "264/33=8", "14+8=22" ]
Current State: 22:[11, 14, 24, 33], Operations: [] Exploring Operation: 11*24=264, Resulting Numbers: [14, 33, 264] Generated Node #2: [14, 33, 264] from Operation: 11*24=264 Current State: 22:[14, 33, 264], Operations: ['11*24=264'] Exploring Operation: 264/33=8, Resulting Numbers: [14, 8] Generated Node #3: [14, 8] from Operation: 264/33=8 Current State: 22:[14, 8], Operations: ['11*24=264', '264/33=8'] Exploring Operation: 14+8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 94, 6, 12, 74 ]
28
[ "94+74=168", "12-6=6", "168/6=28" ]
Current State: 28:[94, 6, 12, 74], Operations: [] Exploring Operation: 94+74=168, Resulting Numbers: [6, 12, 168] Generated Node #2: [6, 12, 168] from Operation: 94+74=168 Current State: 28:[6, 12, 168], Operations: ['94+74=168'] Exploring Operation: 12-6=6, Resulting Numbers: [168, 6] Generated Node #3: [168, 6] from Operation: 12-6=6 Current State: 28:[168, 6], Operations: ['94+74=168', '12-6=6'] Exploring Operation: 168/6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 61, 67, 2, 27 ]
50
[ "61-27=34", "34/2=17", "67-17=50" ]
Current State: 50:[61, 67, 2, 27], Operations: [] Exploring Operation: 61-27=34, Resulting Numbers: [67, 2, 34] Generated Node #2: [67, 2, 34] from Operation: 61-27=34 Current State: 50:[67, 2, 34], Operations: ['61-27=34'] Exploring Operation: 34/2=17, Resulting Numbers: [67, 17] Generated Node #3: [67, 17] from Operation: 34/2=17 Current State: 50:[67, 17], Operations: ['61-27=34', '34/2=17'] Exploring Operation: 67-17=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 86, 17, 72, 48 ]
79
[ "86+17=103", "72-48=24", "103-24=79" ]
Current State: 79:[86, 17, 72, 48], Operations: [] Exploring Operation: 86+17=103, Resulting Numbers: [72, 48, 103] Generated Node #2: [72, 48, 103] from Operation: 86+17=103 Current State: 79:[72, 48, 103], Operations: ['86+17=103'] Exploring Operation: 72-48=24, Resulting Numbers: [103, 24] Generated Node #3: [103, 24] from Operation: 72-48=24 Current State: 79:[103, 24], Operations: ['86+17=103', '72-48=24'] Exploring Operation: 103-24=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 27, 58, 97, 86 ]
97
[ "27+58=85", "86-85=1", "97*1=97" ]
Current State: 97:[27, 58, 97, 86], Operations: [] Exploring Operation: 27+58=85, Resulting Numbers: [97, 86, 85] Generated Node #2: [97, 86, 85] from Operation: 27+58=85 Current State: 97:[97, 86, 85], Operations: ['27+58=85'] Exploring Operation: 86-85=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 86-85=1 Current State: 97:[97, 1], Operations: ['27+58=85', '86-85=1'] Exploring Operation: 97*1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 65, 5, 90, 30 ]
88
[ "65-5=60", "60/30=2", "90-2=88" ]
Current State: 88:[65, 5, 90, 30], Operations: [] Exploring Operation: 65-5=60, Resulting Numbers: [90, 30, 60] Generated Node #2: [90, 30, 60] from Operation: 65-5=60 Current State: 88:[90, 30, 60], Operations: ['65-5=60'] Exploring Operation: 60/30=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 60/30=2 Current State: 88:[90, 2], Operations: ['65-5=60', '60/30=2'] Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 88, 70, 99, 21 ]
80
[ "88+70=158", "99-21=78", "158-78=80" ]
Current State: 80:[88, 70, 99, 21], Operations: [] Exploring Operation: 88+70=158, Resulting Numbers: [99, 21, 158] Generated Node #2: [99, 21, 158] from Operation: 88+70=158 Current State: 80:[99, 21, 158], Operations: ['88+70=158'] Exploring Operation: 99-21=78, Resulting Numbers: [158, 78] Generated Node #3: [158, 78] from Operation: 99-21=78 Current State: 80:[158, 78], Operations: ['88+70=158', '99-21=78'] Exploring Operation: 158-78=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 44, 12, 76, 25 ]
83
[ "44-12=32", "76-25=51", "32+51=83" ]
Current State: 83:[44, 12, 76, 25], Operations: [] Exploring Operation: 44-12=32, Resulting Numbers: [76, 25, 32] Generated Node #2: [76, 25, 32] from Operation: 44-12=32 Current State: 83:[76, 25, 32], Operations: ['44-12=32'] Exploring Operation: 76-25=51, Resulting Numbers: [32, 51] Generated Node #3: [32, 51] from Operation: 76-25=51 Current State: 83:[32, 51], Operations: ['44-12=32', '76-25=51'] Exploring Operation: 32+51=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 83, 87, 20, 85 ]
43
[ "87-85=2", "20*2=40", "83-40=43" ]
Current State: 43:[83, 87, 20, 85], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [83, 20, 2] Generated Node #2: [83, 20, 2] from Operation: 87-85=2 Current State: 43:[83, 20, 2], Operations: ['87-85=2'] Exploring Operation: 20*2=40, Resulting Numbers: [83, 40] Generated Node #3: [83, 40] from Operation: 20*2=40 Current State: 43:[83, 40], Operations: ['87-85=2', '20*2=40'] Exploring Operation: 83-40=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 49, 34, 22, 80 ]
87
[ "49-34=15", "22+80=102", "102-15=87" ]
Current State: 87:[49, 34, 22, 80], Operations: [] Exploring Operation: 49-34=15, Resulting Numbers: [22, 80, 15] Generated Node #2: [22, 80, 15] from Operation: 49-34=15 Current State: 87:[22, 80, 15], Operations: ['49-34=15'] Exploring Operation: 22+80=102, Resulting Numbers: [15, 102] Generated Node #3: [15, 102] from Operation: 22+80=102 Current State: 87:[15, 102], Operations: ['49-34=15', '22+80=102'] Exploring Operation: 102-15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 85, 89, 82, 32 ]
54
[ "89-85=4", "82-32=50", "4+50=54" ]
Current State: 54:[85, 89, 82, 32], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [82, 32, 4] Generated Node #2: [82, 32, 4] from Operation: 89-85=4 Current State: 54:[82, 32, 4], Operations: ['89-85=4'] Exploring Operation: 82-32=50, Resulting Numbers: [4, 50] Generated Node #3: [4, 50] from Operation: 82-32=50 Current State: 54:[4, 50], Operations: ['89-85=4', '82-32=50'] Exploring Operation: 4+50=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 39, 64, 30, 21 ]
62
[ "39+21=60", "60/30=2", "64-2=62" ]
Current State: 62:[39, 64, 30, 21], Operations: [] Exploring Operation: 39+21=60, Resulting Numbers: [64, 30, 60] Generated Node #2: [64, 30, 60] from Operation: 39+21=60 Current State: 62:[64, 30, 60], Operations: ['39+21=60'] Exploring Operation: 60/30=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 60/30=2 Current State: 62:[64, 2], Operations: ['39+21=60', '60/30=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 1, 52, 62, 13 ]
67
[ "1+62=63", "52/13=4", "63+4=67" ]
Current State: 67:[1, 52, 62, 13], Operations: [] Exploring Operation: 1+62=63, Resulting Numbers: [52, 13, 63] Generated Node #2: [52, 13, 63] from Operation: 1+62=63 Current State: 67:[52, 13, 63], Operations: ['1+62=63'] Exploring Operation: 52/13=4, Resulting Numbers: [63, 4] Generated Node #3: [63, 4] from Operation: 52/13=4 Current State: 67:[63, 4], Operations: ['1+62=63', '52/13=4'] Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 51, 3, 6, 47 ]
96
[ "51-6=45", "3*47=141", "141-45=96" ]
Current State: 96:[51, 3, 6, 47], Operations: [] Exploring Operation: 51-6=45, Resulting Numbers: [3, 47, 45] Generated Node #2: [3, 47, 45] from Operation: 51-6=45 Current State: 96:[3, 47, 45], Operations: ['51-6=45'] Exploring Operation: 3*47=141, Resulting Numbers: [45, 141] Generated Node #3: [45, 141] from Operation: 3*47=141 Current State: 96:[45, 141], Operations: ['51-6=45', '3*47=141'] Exploring Operation: 141-45=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 67, 92, 90, 95 ]
97
[ "95-92=3", "90/3=30", "67+30=97" ]
Current State: 97:[67, 92, 90, 95], Operations: [] Exploring Operation: 95-92=3, Resulting Numbers: [67, 90, 3] Generated Node #2: [67, 90, 3] from Operation: 95-92=3 Current State: 97:[67, 90, 3], Operations: ['95-92=3'] Exploring Operation: 90/3=30, Resulting Numbers: [67, 30] Generated Node #3: [67, 30] from Operation: 90/3=30 Current State: 97:[67, 30], Operations: ['95-92=3', '90/3=30'] Exploring Operation: 67+30=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 30, 24, 53, 12 ]
55
[ "30-24=6", "12/6=2", "53+2=55" ]
Current State: 55:[30, 24, 53, 12], Operations: [] Exploring Operation: 30-24=6, Resulting Numbers: [53, 12, 6] Generated Node #2: [53, 12, 6] from Operation: 30-24=6 Current State: 55:[53, 12, 6], Operations: ['30-24=6'] Exploring Operation: 12/6=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 12/6=2 Current State: 55:[53, 2], Operations: ['30-24=6', '12/6=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 16, 35, 38, 2 ]
16
[ "16+38=54", "35*2=70", "70-54=16" ]
Current State: 16:[16, 35, 38, 2], Operations: [] Exploring Operation: 16+38=54, Resulting Numbers: [35, 2, 54] Generated Node #2: [35, 2, 54] from Operation: 16+38=54 Current State: 16:[35, 2, 54], Operations: ['16+38=54'] Exploring Operation: 35*2=70, Resulting Numbers: [54, 70] Generated Node #3: [54, 70] from Operation: 35*2=70 Current State: 16:[54, 70], Operations: ['16+38=54', '35*2=70'] Exploring Operation: 70-54=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 62, 92, 55, 31 ]
55
[ "92-62=30", "31-30=1", "55*1=55" ]
Current State: 55:[62, 92, 55, 31], Operations: [] Exploring Operation: 92-62=30, Resulting Numbers: [55, 31, 30] Generated Node #2: [55, 31, 30] from Operation: 92-62=30 Current State: 55:[55, 31, 30], Operations: ['92-62=30'] Exploring Operation: 31-30=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 31-30=1 Current State: 55:[55, 1], Operations: ['92-62=30', '31-30=1'] Exploring Operation: 55*1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 12, 73, 10, 34 ]
61
[ "12+73=85", "34-10=24", "85-24=61" ]
Current State: 61:[12, 73, 10, 34], Operations: [] Exploring Operation: 12+73=85, Resulting Numbers: [10, 34, 85] Generated Node #2: [10, 34, 85] from Operation: 12+73=85 Current State: 61:[10, 34, 85], Operations: ['12+73=85'] Exploring Operation: 34-10=24, Resulting Numbers: [85, 24] Generated Node #3: [85, 24] from Operation: 34-10=24 Current State: 61:[85, 24], Operations: ['12+73=85', '34-10=24'] Exploring Operation: 85-24=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 61, 66, 2, 31 ]
94
[ "61+66=127", "2+31=33", "127-33=94" ]
Current State: 94:[61, 66, 2, 31], Operations: [] Exploring Operation: 61+66=127, Resulting Numbers: [2, 31, 127] Generated Node #2: [2, 31, 127] from Operation: 61+66=127 Current State: 94:[2, 31, 127], Operations: ['61+66=127'] Exploring Operation: 2+31=33, Resulting Numbers: [127, 33] Generated Node #3: [127, 33] from Operation: 2+31=33 Current State: 94:[127, 33], Operations: ['61+66=127', '2+31=33'] Exploring Operation: 127-33=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 20, 39, 96, 97 ]
18
[ "39-20=19", "97-96=1", "19-1=18" ]
Current State: 18:[20, 39, 96, 97], Operations: [] Exploring Operation: 39-20=19, Resulting Numbers: [96, 97, 19] Generated Node #2: [96, 97, 19] from Operation: 39-20=19 Current State: 18:[96, 97, 19], Operations: ['39-20=19'] Exploring Operation: 97-96=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 97-96=1 Current State: 18:[19, 1], Operations: ['39-20=19', '97-96=1'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 52, 9, 2, 44 ]
39
[ "52+9=61", "44/2=22", "61-22=39" ]
Current State: 39:[52, 9, 2, 44], Operations: [] Exploring Operation: 52+9=61, Resulting Numbers: [2, 44, 61] Generated Node #2: [2, 44, 61] from Operation: 52+9=61 Current State: 39:[2, 44, 61], Operations: ['52+9=61'] Exploring Operation: 44/2=22, Resulting Numbers: [61, 22] Generated Node #3: [61, 22] from Operation: 44/2=22 Current State: 39:[61, 22], Operations: ['52+9=61', '44/2=22'] Exploring Operation: 61-22=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 48, 69, 54, 86 ]
23
[ "48+69=117", "54+86=140", "140-117=23" ]
Current State: 23:[48, 69, 54, 86], Operations: [] Exploring Operation: 48+69=117, Resulting Numbers: [54, 86, 117] Generated Node #2: [54, 86, 117] from Operation: 48+69=117 Current State: 23:[54, 86, 117], Operations: ['48+69=117'] Exploring Operation: 54+86=140, Resulting Numbers: [117, 140] Generated Node #3: [117, 140] from Operation: 54+86=140 Current State: 23:[117, 140], Operations: ['48+69=117', '54+86=140'] Exploring Operation: 140-117=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 31, 17, 14, 38 ]
38
[ "31-17=14", "14+38=52", "52-14=38" ]
Current State: 38:[31, 17, 14, 38], Operations: [] Exploring Operation: 31-17=14, Resulting Numbers: [14, 38, 14] Generated Node #2: [14, 38, 14] from Operation: 31-17=14 Current State: 38:[14, 38, 14], Operations: ['31-17=14'] Exploring Operation: 14+38=52, Resulting Numbers: [52] 52,38 equal: Goal Reached Exploring Operation: 52-14=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 9, 5, 5, 45 ]
15
[ "45/9=5", "5+5=10", "5+10=15" ]
Current State: 15:[9, 5, 5, 45], Operations: [] Exploring Operation: 45/9=5, Resulting Numbers: [5, 5, 5] Generated Node #2: [5, 5, 5] from Operation: 45/9=5 Current State: 15:[5, 5, 5], Operations: ['45/9=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,15 equal: Goal Reached Exploring Operation: 5+10=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 10, 47, 26, 45 ]
76
[ "10+47=57", "45-26=19", "57+19=76" ]
Current State: 76:[10, 47, 26, 45], Operations: [] Exploring Operation: 10+47=57, Resulting Numbers: [26, 45, 57] Generated Node #2: [26, 45, 57] from Operation: 10+47=57 Current State: 76:[26, 45, 57], Operations: ['10+47=57'] Exploring Operation: 45-26=19, Resulting Numbers: [57, 19] Generated Node #3: [57, 19] from Operation: 45-26=19 Current State: 76:[57, 19], Operations: ['10+47=57', '45-26=19'] Exploring Operation: 57+19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 37, 26, 37, 45 ]
19
[ "37+26=63", "37+45=82", "82-63=19" ]
Current State: 19:[37, 26, 37, 45], Operations: [] Exploring Operation: 37+26=63, Resulting Numbers: [45, 63] Generated Node #2: [45, 63] from Operation: 37+26=63 Current State: 19:[45, 63], Operations: ['37+26=63'] Exploring Operation: 37+45=82, Resulting Numbers: [63, 82] Generated Node #3: [63, 82] from Operation: 37+45=82 Current State: 19:[63, 82], Operations: ['37+26=63', '37+45=82'] Exploring Operation: 82-63=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 80, 1, 69, 2 ]
75
[ "80+1=81", "69+81=150", "150/2=75" ]
Current State: 75:[80, 1, 69, 2], Operations: [] Exploring Operation: 80+1=81, Resulting Numbers: [69, 2, 81] Generated Node #2: [69, 2, 81] from Operation: 80+1=81 Current State: 75:[69, 2, 81], Operations: ['80+1=81'] Exploring Operation: 69+81=150, Resulting Numbers: [2, 150] Generated Node #3: [2, 150] from Operation: 69+81=150 Current State: 75:[2, 150], Operations: ['80+1=81', '69+81=150'] Exploring Operation: 150/2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 88, 40, 13, 3 ]
22
[ "13-3=10", "88*10=880", "880/40=22" ]
Current State: 22:[88, 40, 13, 3], Operations: [] Exploring Operation: 13-3=10, Resulting Numbers: [88, 40, 10] Generated Node #2: [88, 40, 10] from Operation: 13-3=10 Current State: 22:[88, 40, 10], Operations: ['13-3=10'] Exploring Operation: 88*10=880, Resulting Numbers: [40, 880] Generated Node #3: [40, 880] from Operation: 88*10=880 Current State: 22:[40, 880], Operations: ['13-3=10', '88*10=880'] Exploring Operation: 880/40=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 75, 12, 69, 35 ]
29
[ "75-12=63", "69-35=34", "63-34=29" ]
Current State: 29:[75, 12, 69, 35], Operations: [] Exploring Operation: 75-12=63, Resulting Numbers: [69, 35, 63] Generated Node #2: [69, 35, 63] from Operation: 75-12=63 Current State: 29:[69, 35, 63], Operations: ['75-12=63'] Exploring Operation: 69-35=34, Resulting Numbers: [63, 34] Generated Node #3: [63, 34] from Operation: 69-35=34 Current State: 29:[63, 34], Operations: ['75-12=63', '69-35=34'] Exploring Operation: 63-34=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 27, 1, 59, 28 ]
59
[ "27+1=28", "59+28=87", "87-28=59" ]
Current State: 59:[27, 1, 59, 28], Operations: [] Exploring Operation: 27+1=28, Resulting Numbers: [59, 28, 28] Generated Node #2: [59, 28, 28] from Operation: 27+1=28 Current State: 59:[59, 28, 28], Operations: ['27+1=28'] Exploring Operation: 59+28=87, Resulting Numbers: [87] 87,59 equal: Goal Reached Exploring Operation: 87-28=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 9, 47, 76, 7 ]
13
[ "9+47=56", "76-7=69", "69-56=13" ]
Current State: 13:[9, 47, 76, 7], Operations: [] Exploring Operation: 9+47=56, Resulting Numbers: [76, 7, 56] Generated Node #2: [76, 7, 56] from Operation: 9+47=56 Current State: 13:[76, 7, 56], Operations: ['9+47=56'] Exploring Operation: 76-7=69, Resulting Numbers: [56, 69] Generated Node #3: [56, 69] from Operation: 76-7=69 Current State: 13:[56, 69], Operations: ['9+47=56', '76-7=69'] Exploring Operation: 69-56=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 96, 73, 46, 70 ]
69
[ "70-46=24", "96/24=4", "73-4=69" ]
Current State: 69:[96, 73, 46, 70], Operations: [] Exploring Operation: 70-46=24, Resulting Numbers: [96, 73, 24] Generated Node #2: [96, 73, 24] from Operation: 70-46=24 Current State: 69:[96, 73, 24], Operations: ['70-46=24'] Exploring Operation: 96/24=4, Resulting Numbers: [73, 4] Generated Node #3: [73, 4] from Operation: 96/24=4 Current State: 69:[73, 4], Operations: ['70-46=24', '96/24=4'] Exploring Operation: 73-4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 50, 34, 73, 8 ]
75
[ "50-34=16", "16/8=2", "73+2=75" ]
Current State: 75:[50, 34, 73, 8], Operations: [] Exploring Operation: 50-34=16, Resulting Numbers: [73, 8, 16] Generated Node #2: [73, 8, 16] from Operation: 50-34=16 Current State: 75:[73, 8, 16], Operations: ['50-34=16'] Exploring Operation: 16/8=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 16/8=2 Current State: 75:[73, 2], Operations: ['50-34=16', '16/8=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 87, 48, 93, 4 ]
46
[ "87+48=135", "93-4=89", "135-89=46" ]
Current State: 46:[87, 48, 93, 4], Operations: [] Exploring Operation: 87+48=135, Resulting Numbers: [93, 4, 135] Generated Node #2: [93, 4, 135] from Operation: 87+48=135 Current State: 46:[93, 4, 135], Operations: ['87+48=135'] Exploring Operation: 93-4=89, Resulting Numbers: [135, 89] Generated Node #3: [135, 89] from Operation: 93-4=89 Current State: 46:[135, 89], Operations: ['87+48=135', '93-4=89'] Exploring Operation: 135-89=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 44, 27, 75, 35 ]
57
[ "44-27=17", "75-35=40", "17+40=57" ]
Current State: 57:[44, 27, 75, 35], Operations: [] Exploring Operation: 44-27=17, Resulting Numbers: [75, 35, 17] Generated Node #2: [75, 35, 17] from Operation: 44-27=17 Current State: 57:[75, 35, 17], Operations: ['44-27=17'] Exploring Operation: 75-35=40, Resulting Numbers: [17, 40] Generated Node #3: [17, 40] from Operation: 75-35=40 Current State: 57:[17, 40], Operations: ['44-27=17', '75-35=40'] Exploring Operation: 17+40=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 29, 65, 35, 55 ]
24
[ "29*55=1595", "1595-35=1560", "1560/65=24" ]
Current State: 24:[29, 65, 35, 55], Operations: [] Exploring Operation: 29*55=1595, Resulting Numbers: [65, 35, 1595] Generated Node #2: [65, 35, 1595] from Operation: 29*55=1595 Current State: 24:[65, 35, 1595], Operations: ['29*55=1595'] Exploring Operation: 1595-35=1560, Resulting Numbers: [65, 1560] Generated Node #3: [65, 1560] from Operation: 1595-35=1560 Current State: 24:[65, 1560], Operations: ['29*55=1595', '1595-35=1560'] Exploring Operation: 1560/65=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 88, 49, 96, 96 ]
37
[ "96-88=8", "96/8=12", "49-12=37" ]
Current State: 37:[88, 49, 96, 96], Operations: [] Exploring Operation: 96-88=8, Resulting Numbers: [49, 8] Generated Node #2: [49, 8] from Operation: 96-88=8 Current State: 37:[49, 8], Operations: ['96-88=8'] Exploring Operation: 96/8=12, Resulting Numbers: [49, 12] Generated Node #3: [49, 12] from Operation: 96/8=12 Current State: 37:[49, 12], Operations: ['96-88=8', '96/8=12'] Exploring Operation: 49-12=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 95, 73, 99, 80 ]
53
[ "99-95=4", "80/4=20", "73-20=53" ]
Current State: 53:[95, 73, 99, 80], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [73, 80, 4] Generated Node #2: [73, 80, 4] from Operation: 99-95=4 Current State: 53:[73, 80, 4], Operations: ['99-95=4'] Exploring Operation: 80/4=20, Resulting Numbers: [73, 20] Generated Node #3: [73, 20] from Operation: 80/4=20 Current State: 53:[73, 20], Operations: ['99-95=4', '80/4=20'] Exploring Operation: 73-20=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 65, 11, 49, 68 ]
41
[ "65+11=76", "49+68=117", "117-76=41" ]
Current State: 41:[65, 11, 49, 68], Operations: [] Exploring Operation: 65+11=76, Resulting Numbers: [49, 68, 76] Generated Node #2: [49, 68, 76] from Operation: 65+11=76 Current State: 41:[49, 68, 76], Operations: ['65+11=76'] Exploring Operation: 49+68=117, Resulting Numbers: [76, 117] Generated Node #3: [76, 117] from Operation: 49+68=117 Current State: 41:[76, 117], Operations: ['65+11=76', '49+68=117'] Exploring Operation: 117-76=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 1, 19, 17, 24 ]
46
[ "24-1=23", "19-17=2", "23*2=46" ]
Current State: 46:[1, 19, 17, 24], Operations: [] Exploring Operation: 24-1=23, Resulting Numbers: [19, 17, 23] Generated Node #2: [19, 17, 23] from Operation: 24-1=23 Current State: 46:[19, 17, 23], Operations: ['24-1=23'] Exploring Operation: 19-17=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 19-17=2 Current State: 46:[23, 2], Operations: ['24-1=23', '19-17=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 60, 12, 95, 72 ]
29
[ "95-60=35", "72/12=6", "35-6=29" ]
Current State: 29:[60, 12, 95, 72], Operations: [] Exploring Operation: 95-60=35, Resulting Numbers: [12, 72, 35] Generated Node #2: [12, 72, 35] from Operation: 95-60=35 Current State: 29:[12, 72, 35], Operations: ['95-60=35'] Exploring Operation: 72/12=6, Resulting Numbers: [35, 6] Generated Node #3: [35, 6] from Operation: 72/12=6 Current State: 29:[35, 6], Operations: ['95-60=35', '72/12=6'] Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 10, 29, 52, 29 ]
10
[ "29-29=0", "52*0=0", "10+0=10" ]
Current State: 10:[10, 29, 52, 29], Operations: [] Exploring Operation: 29-29=0, Resulting Numbers: [10, 52, 0] Generated Node #2: [10, 52, 0] from Operation: 29-29=0 Current State: 10:[10, 52, 0], Operations: ['29-29=0'] Exploring Operation: 52*0=0, Resulting Numbers: [10, 0] Generated Node #3: [10, 0] from Operation: 52*0=0 Current State: 10:[10, 0], Operations: ['29-29=0', '52*0=0'] Exploring Operation: 10+0=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 90, 8, 89, 52 ]
43
[ "90+8=98", "89+52=141", "141-98=43" ]
Current State: 43:[90, 8, 89, 52], Operations: [] Exploring Operation: 90+8=98, Resulting Numbers: [89, 52, 98] Generated Node #2: [89, 52, 98] from Operation: 90+8=98 Current State: 43:[89, 52, 98], Operations: ['90+8=98'] Exploring Operation: 89+52=141, Resulting Numbers: [98, 141] Generated Node #3: [98, 141] from Operation: 89+52=141 Current State: 43:[98, 141], Operations: ['90+8=98', '89+52=141'] Exploring Operation: 141-98=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 66, 73, 51, 94 ]
91
[ "73-51=22", "66/22=3", "94-3=91" ]
Current State: 91:[66, 73, 51, 94], Operations: [] Exploring Operation: 73-51=22, Resulting Numbers: [66, 94, 22] Generated Node #2: [66, 94, 22] from Operation: 73-51=22 Current State: 91:[66, 94, 22], Operations: ['73-51=22'] Exploring Operation: 66/22=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 66/22=3 Current State: 91:[94, 3], Operations: ['73-51=22', '66/22=3'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 67, 47, 8, 93 ]
27
[ "67+93=160", "160/8=20", "47-20=27" ]
Current State: 27:[67, 47, 8, 93], Operations: [] Exploring Operation: 67+93=160, Resulting Numbers: [47, 8, 160] Generated Node #2: [47, 8, 160] from Operation: 67+93=160 Current State: 27:[47, 8, 160], Operations: ['67+93=160'] Exploring Operation: 160/8=20, Resulting Numbers: [47, 20] Generated Node #3: [47, 20] from Operation: 160/8=20 Current State: 27:[47, 20], Operations: ['67+93=160', '160/8=20'] Exploring Operation: 47-20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 63, 20, 5, 9 ]
93
[ "63/9=7", "20*5=100", "100-7=93" ]
Current State: 93:[63, 20, 5, 9], Operations: [] Exploring Operation: 63/9=7, Resulting Numbers: [20, 5, 7] Generated Node #2: [20, 5, 7] from Operation: 63/9=7 Current State: 93:[20, 5, 7], Operations: ['63/9=7'] Exploring Operation: 20*5=100, Resulting Numbers: [7, 100] Generated Node #3: [7, 100] from Operation: 20*5=100 Current State: 93:[7, 100], Operations: ['63/9=7', '20*5=100'] Exploring Operation: 100-7=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 80, 9, 44 ]
19
[ "80/5=16", "44-9=35", "35-16=19" ]
Current State: 19:[5, 80, 9, 44], Operations: [] Exploring Operation: 80/5=16, Resulting Numbers: [9, 44, 16] Generated Node #2: [9, 44, 16] from Operation: 80/5=16 Current State: 19:[9, 44, 16], Operations: ['80/5=16'] Exploring Operation: 44-9=35, Resulting Numbers: [16, 35] Generated Node #3: [16, 35] from Operation: 44-9=35 Current State: 19:[16, 35], Operations: ['80/5=16', '44-9=35'] Exploring Operation: 35-16=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 3, 69, 29, 2 ]
75
[ "69/3=23", "2*23=46", "29+46=75" ]
Current State: 75:[3, 69, 29, 2], Operations: [] Exploring Operation: 69/3=23, Resulting Numbers: [29, 2, 23] Generated Node #2: [29, 2, 23] from Operation: 69/3=23 Current State: 75:[29, 2, 23], Operations: ['69/3=23'] Exploring Operation: 2*23=46, Resulting Numbers: [29, 46] Generated Node #3: [29, 46] from Operation: 2*23=46 Current State: 75:[29, 46], Operations: ['69/3=23', '2*23=46'] Exploring Operation: 29+46=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 20, 53, 48, 68 ]
43
[ "20+53=73", "48+68=116", "116-73=43" ]
Current State: 43:[20, 53, 48, 68], Operations: [] Exploring Operation: 20+53=73, Resulting Numbers: [48, 68, 73] Generated Node #2: [48, 68, 73] from Operation: 20+53=73 Current State: 43:[48, 68, 73], Operations: ['20+53=73'] Exploring Operation: 48+68=116, Resulting Numbers: [73, 116] Generated Node #3: [73, 116] from Operation: 48+68=116 Current State: 43:[73, 116], Operations: ['20+53=73', '48+68=116'] Exploring Operation: 116-73=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 7, 91, 12, 29 ]
28
[ "91/7=13", "12+29=41", "41-13=28" ]
Current State: 28:[7, 91, 12, 29], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [12, 29, 13] Generated Node #2: [12, 29, 13] from Operation: 91/7=13 Current State: 28:[12, 29, 13], Operations: ['91/7=13'] Exploring Operation: 12+29=41, Resulting Numbers: [13, 41] Generated Node #3: [13, 41] from Operation: 12+29=41 Current State: 28:[13, 41], Operations: ['91/7=13', '12+29=41'] Exploring Operation: 41-13=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 27, 81, 40, 88 ]
16
[ "81/27=3", "88-40=48", "48/3=16" ]
Current State: 16:[27, 81, 40, 88], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [40, 88, 3] Generated Node #2: [40, 88, 3] from Operation: 81/27=3 Current State: 16:[40, 88, 3], Operations: ['81/27=3'] Exploring Operation: 88-40=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 88-40=48 Current State: 16:[3, 48], Operations: ['81/27=3', '88-40=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 7, 9, 33, 22 ]
28
[ "9+33=42", "42/7=6", "22+6=28" ]
Current State: 28:[7, 9, 33, 22], Operations: [] Exploring Operation: 9+33=42, Resulting Numbers: [7, 22, 42] Generated Node #2: [7, 22, 42] from Operation: 9+33=42 Current State: 28:[7, 22, 42], Operations: ['9+33=42'] Exploring Operation: 42/7=6, Resulting Numbers: [22, 6] Generated Node #3: [22, 6] from Operation: 42/7=6 Current State: 28:[22, 6], Operations: ['9+33=42', '42/7=6'] Exploring Operation: 22+6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 99, 74, 55, 39 ]
79
[ "99+74=173", "55+39=94", "173-94=79" ]
Current State: 79:[99, 74, 55, 39], Operations: [] Exploring Operation: 99+74=173, Resulting Numbers: [55, 39, 173] Generated Node #2: [55, 39, 173] from Operation: 99+74=173 Current State: 79:[55, 39, 173], Operations: ['99+74=173'] Exploring Operation: 55+39=94, Resulting Numbers: [173, 94] Generated Node #3: [173, 94] from Operation: 55+39=94 Current State: 79:[173, 94], Operations: ['99+74=173', '55+39=94'] Exploring Operation: 173-94=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 36, 6, 68, 7 ]
31
[ "36-6=30", "68-7=61", "61-30=31" ]
Current State: 31:[36, 6, 68, 7], Operations: [] Exploring Operation: 36-6=30, Resulting Numbers: [68, 7, 30] Generated Node #2: [68, 7, 30] from Operation: 36-6=30 Current State: 31:[68, 7, 30], Operations: ['36-6=30'] Exploring Operation: 68-7=61, Resulting Numbers: [30, 61] Generated Node #3: [30, 61] from Operation: 68-7=61 Current State: 31:[30, 61], Operations: ['36-6=30', '68-7=61'] Exploring Operation: 61-30=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 77, 49, 98, 53 ]
84
[ "98-77=21", "53-49=4", "21*4=84" ]
Current State: 84:[77, 49, 98, 53], Operations: [] Exploring Operation: 98-77=21, Resulting Numbers: [49, 53, 21] Generated Node #2: [49, 53, 21] from Operation: 98-77=21 Current State: 84:[49, 53, 21], Operations: ['98-77=21'] Exploring Operation: 53-49=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 53-49=4 Current State: 84:[21, 4], Operations: ['98-77=21', '53-49=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 12, 21, 48, 28 ]
36
[ "28-21=7", "12*7=84", "84-48=36" ]
Current State: 36:[12, 21, 48, 28], Operations: [] Exploring Operation: 28-21=7, Resulting Numbers: [12, 48, 7] Generated Node #2: [12, 48, 7] from Operation: 28-21=7 Current State: 36:[12, 48, 7], Operations: ['28-21=7'] Exploring Operation: 12*7=84, Resulting Numbers: [48, 84] Generated Node #3: [48, 84] from Operation: 12*7=84 Current State: 36:[48, 84], Operations: ['28-21=7', '12*7=84'] Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 68, 9, 81, 75 ]
14
[ "81-75=6", "9*6=54", "68-54=14" ]
Current State: 14:[68, 9, 81, 75], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [68, 9, 6] Generated Node #2: [68, 9, 6] from Operation: 81-75=6 Current State: 14:[68, 9, 6], Operations: ['81-75=6'] Exploring Operation: 9*6=54, Resulting Numbers: [68, 54] Generated Node #3: [68, 54] from Operation: 9*6=54 Current State: 14:[68, 54], Operations: ['81-75=6', '9*6=54'] Exploring Operation: 68-54=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 37, 24, 40, 50 ]
42
[ "40-37=3", "24/3=8", "50-8=42" ]
Current State: 42:[37, 24, 40, 50], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [24, 50, 3] Generated Node #2: [24, 50, 3] from Operation: 40-37=3 Current State: 42:[24, 50, 3], Operations: ['40-37=3'] Exploring Operation: 24/3=8, Resulting Numbers: [50, 8] Generated Node #3: [50, 8] from Operation: 24/3=8 Current State: 42:[50, 8], Operations: ['40-37=3', '24/3=8'] Exploring Operation: 50-8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 13, 65, 19, 7 ]
21
[ "65/13=5", "19+7=26", "26-5=21" ]
Current State: 21:[13, 65, 19, 7], Operations: [] Exploring Operation: 65/13=5, Resulting Numbers: [19, 7, 5] Generated Node #2: [19, 7, 5] from Operation: 65/13=5 Current State: 21:[19, 7, 5], Operations: ['65/13=5'] Exploring Operation: 19+7=26, Resulting Numbers: [5, 26] Generated Node #3: [5, 26] from Operation: 19+7=26 Current State: 21:[5, 26], Operations: ['65/13=5', '19+7=26'] Exploring Operation: 26-5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 77, 4, 5, 24 ]
73
[ "77-24=53", "4*5=20", "53+20=73" ]
Current State: 73:[77, 4, 5, 24], Operations: [] Exploring Operation: 77-24=53, Resulting Numbers: [4, 5, 53] Generated Node #2: [4, 5, 53] from Operation: 77-24=53 Current State: 73:[4, 5, 53], Operations: ['77-24=53'] Exploring Operation: 4*5=20, Resulting Numbers: [53, 20] Generated Node #3: [53, 20] from Operation: 4*5=20 Current State: 73:[53, 20], Operations: ['77-24=53', '4*5=20'] Exploring Operation: 53+20=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 51, 32, 96, 1 ]
49
[ "51+1=52", "96/32=3", "52-3=49" ]
Current State: 49:[51, 32, 96, 1], Operations: [] Exploring Operation: 51+1=52, Resulting Numbers: [32, 96, 52] Generated Node #2: [32, 96, 52] from Operation: 51+1=52 Current State: 49:[32, 96, 52], Operations: ['51+1=52'] Exploring Operation: 96/32=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 96/32=3 Current State: 49:[52, 3], Operations: ['51+1=52', '96/32=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 35, 90, 60, 37 ]
75
[ "35+37=72", "90*60=5400", "5400/72=75" ]
Current State: 75:[35, 90, 60, 37], Operations: [] Exploring Operation: 35+37=72, Resulting Numbers: [90, 60, 72] Generated Node #2: [90, 60, 72] from Operation: 35+37=72 Current State: 75:[90, 60, 72], Operations: ['35+37=72'] Exploring Operation: 90*60=5400, Resulting Numbers: [72, 5400] Generated Node #3: [72, 5400] from Operation: 90*60=5400 Current State: 75:[72, 5400], Operations: ['35+37=72', '90*60=5400'] Exploring Operation: 5400/72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 69, 85, 81, 24 ]
27
[ "85-81=4", "24*4=96", "96-69=27" ]
Current State: 27:[69, 85, 81, 24], Operations: [] Exploring Operation: 85-81=4, Resulting Numbers: [69, 24, 4] Generated Node #2: [69, 24, 4] from Operation: 85-81=4 Current State: 27:[69, 24, 4], Operations: ['85-81=4'] Exploring Operation: 24*4=96, Resulting Numbers: [69, 96] Generated Node #3: [69, 96] from Operation: 24*4=96 Current State: 27:[69, 96], Operations: ['85-81=4', '24*4=96'] Exploring Operation: 96-69=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 40, 7, 49, 98 ]
63
[ "40+49=89", "98-89=9", "7*9=63" ]
Current State: 63:[40, 7, 49, 98], Operations: [] Exploring Operation: 40+49=89, Resulting Numbers: [7, 98, 89] Generated Node #2: [7, 98, 89] from Operation: 40+49=89 Current State: 63:[7, 98, 89], Operations: ['40+49=89'] Exploring Operation: 98-89=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 98-89=9 Current State: 63:[7, 9], Operations: ['40+49=89', '98-89=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 27, 35, 23, 81 ]
54
[ "81-35=46", "27*46=1242", "1242/23=54" ]
Current State: 54:[27, 35, 23, 81], Operations: [] Exploring Operation: 81-35=46, Resulting Numbers: [27, 23, 46] Generated Node #2: [27, 23, 46] from Operation: 81-35=46 Current State: 54:[27, 23, 46], Operations: ['81-35=46'] Exploring Operation: 27*46=1242, Resulting Numbers: [23, 1242] Generated Node #3: [23, 1242] from Operation: 27*46=1242 Current State: 54:[23, 1242], Operations: ['81-35=46', '27*46=1242'] Exploring Operation: 1242/23=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 40, 93, 18, 95 ]
44
[ "40-18=22", "95-93=2", "22*2=44" ]
Current State: 44:[40, 93, 18, 95], Operations: [] Exploring Operation: 40-18=22, Resulting Numbers: [93, 95, 22] Generated Node #2: [93, 95, 22] from Operation: 40-18=22 Current State: 44:[93, 95, 22], Operations: ['40-18=22'] Exploring Operation: 95-93=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 95-93=2 Current State: 44:[22, 2], Operations: ['40-18=22', '95-93=2'] Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 52, 68, 44, 77 ]
17
[ "68-52=16", "77-44=33", "33-16=17" ]
Current State: 17:[52, 68, 44, 77], Operations: [] Exploring Operation: 68-52=16, Resulting Numbers: [44, 77, 16] Generated Node #2: [44, 77, 16] from Operation: 68-52=16 Current State: 17:[44, 77, 16], Operations: ['68-52=16'] Exploring Operation: 77-44=33, Resulting Numbers: [16, 33] Generated Node #3: [16, 33] from Operation: 77-44=33 Current State: 17:[16, 33], Operations: ['68-52=16', '77-44=33'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 64, 26, 18, 3 ]
75
[ "64+26=90", "18-3=15", "90-15=75" ]
Current State: 75:[64, 26, 18, 3], Operations: [] Exploring Operation: 64+26=90, Resulting Numbers: [18, 3, 90] Generated Node #2: [18, 3, 90] from Operation: 64+26=90 Current State: 75:[18, 3, 90], Operations: ['64+26=90'] Exploring Operation: 18-3=15, Resulting Numbers: [90, 15] Generated Node #3: [90, 15] from Operation: 18-3=15 Current State: 75:[90, 15], Operations: ['64+26=90', '18-3=15'] Exploring Operation: 90-15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 58, 72, 15, 69 ]
76
[ "58+72=130", "69-15=54", "130-54=76" ]
Current State: 76:[58, 72, 15, 69], Operations: [] Exploring Operation: 58+72=130, Resulting Numbers: [15, 69, 130] Generated Node #2: [15, 69, 130] from Operation: 58+72=130 Current State: 76:[15, 69, 130], Operations: ['58+72=130'] Exploring Operation: 69-15=54, Resulting Numbers: [130, 54] Generated Node #3: [130, 54] from Operation: 69-15=54 Current State: 76:[130, 54], Operations: ['58+72=130', '69-15=54'] Exploring Operation: 130-54=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 44, 70, 99, 88 ]
27
[ "88/44=2", "99-70=29", "29-2=27" ]
Current State: 27:[44, 70, 99, 88], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [70, 99, 2] Generated Node #2: [70, 99, 2] from Operation: 88/44=2 Current State: 27:[70, 99, 2], Operations: ['88/44=2'] Exploring Operation: 99-70=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 99-70=29 Current State: 27:[2, 29], Operations: ['88/44=2', '99-70=29'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 28, 21, 28, 30 ]
34
[ "28-21=7", "28/7=4", "30+4=34" ]
Current State: 34:[28, 21, 28, 30], Operations: [] Exploring Operation: 28-21=7, Resulting Numbers: [30, 7] Generated Node #2: [30, 7] from Operation: 28-21=7 Current State: 34:[30, 7], Operations: ['28-21=7'] Exploring Operation: 28/7=4, Resulting Numbers: [30, 4] Generated Node #3: [30, 4] from Operation: 28/7=4 Current State: 34:[30, 4], Operations: ['28-21=7', '28/7=4'] Exploring Operation: 30+4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 62, 30, 16, 38 ]
40
[ "62-30=32", "32/16=2", "38+2=40" ]
Current State: 40:[62, 30, 16, 38], Operations: [] Exploring Operation: 62-30=32, Resulting Numbers: [16, 38, 32] Generated Node #2: [16, 38, 32] from Operation: 62-30=32 Current State: 40:[16, 38, 32], Operations: ['62-30=32'] Exploring Operation: 32/16=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 32/16=2 Current State: 40:[38, 2], Operations: ['62-30=32', '32/16=2'] Exploring Operation: 38+2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 42, 96, 20, 16 ]
50
[ "96-42=54", "20-16=4", "54-4=50" ]
Current State: 50:[42, 96, 20, 16], Operations: [] Exploring Operation: 96-42=54, Resulting Numbers: [20, 16, 54] Generated Node #2: [20, 16, 54] from Operation: 96-42=54 Current State: 50:[20, 16, 54], Operations: ['96-42=54'] Exploring Operation: 20-16=4, Resulting Numbers: [54, 4] Generated Node #3: [54, 4] from Operation: 20-16=4 Current State: 50:[54, 4], Operations: ['96-42=54', '20-16=4'] Exploring Operation: 54-4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 45, 37, 3, 65 ]
70
[ "45-37=8", "65-3=62", "8+62=70" ]
Current State: 70:[45, 37, 3, 65], Operations: [] Exploring Operation: 45-37=8, Resulting Numbers: [3, 65, 8] Generated Node #2: [3, 65, 8] from Operation: 45-37=8 Current State: 70:[3, 65, 8], Operations: ['45-37=8'] Exploring Operation: 65-3=62, Resulting Numbers: [8, 62] Generated Node #3: [8, 62] from Operation: 65-3=62 Current State: 70:[8, 62], Operations: ['45-37=8', '65-3=62'] Exploring Operation: 8+62=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 32, 15, 89, 29 ]
36
[ "89-29=60", "60/15=4", "32+4=36" ]
Current State: 36:[32, 15, 89, 29], Operations: [] Exploring Operation: 89-29=60, Resulting Numbers: [32, 15, 60] Generated Node #2: [32, 15, 60] from Operation: 89-29=60 Current State: 36:[32, 15, 60], Operations: ['89-29=60'] Exploring Operation: 60/15=4, Resulting Numbers: [32, 4] Generated Node #3: [32, 4] from Operation: 60/15=4 Current State: 36:[32, 4], Operations: ['89-29=60', '60/15=4'] Exploring Operation: 32+4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 70, 7, 36, 2 ]
25
[ "70-7=63", "36+2=38", "63-38=25" ]
Current State: 25:[70, 7, 36, 2], Operations: [] Exploring Operation: 70-7=63, Resulting Numbers: [36, 2, 63] Generated Node #2: [36, 2, 63] from Operation: 70-7=63 Current State: 25:[36, 2, 63], Operations: ['70-7=63'] Exploring Operation: 36+2=38, Resulting Numbers: [63, 38] Generated Node #3: [63, 38] from Operation: 36+2=38 Current State: 25:[63, 38], Operations: ['70-7=63', '36+2=38'] Exploring Operation: 63-38=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 59, 91, 40, 46 ]
25
[ "59+91=150", "46-40=6", "150/6=25" ]
Current State: 25:[59, 91, 40, 46], Operations: [] Exploring Operation: 59+91=150, Resulting Numbers: [40, 46, 150] Generated Node #2: [40, 46, 150] from Operation: 59+91=150 Current State: 25:[40, 46, 150], Operations: ['59+91=150'] Exploring Operation: 46-40=6, Resulting Numbers: [150, 6] Generated Node #3: [150, 6] from Operation: 46-40=6 Current State: 25:[150, 6], Operations: ['59+91=150', '46-40=6'] Exploring Operation: 150/6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 88, 83, 94, 57 ]
49
[ "94-83=11", "88/11=8", "57-8=49" ]
Current State: 49:[88, 83, 94, 57], Operations: [] Exploring Operation: 94-83=11, Resulting Numbers: [88, 57, 11] Generated Node #2: [88, 57, 11] from Operation: 94-83=11 Current State: 49:[88, 57, 11], Operations: ['94-83=11'] Exploring Operation: 88/11=8, Resulting Numbers: [57, 8] Generated Node #3: [57, 8] from Operation: 88/11=8 Current State: 49:[57, 8], Operations: ['94-83=11', '88/11=8'] Exploring Operation: 57-8=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 37, 22, 47, 42 ]
54
[ "37+22=59", "47-42=5", "59-5=54" ]
Current State: 54:[37, 22, 47, 42], Operations: [] Exploring Operation: 37+22=59, Resulting Numbers: [47, 42, 59] Generated Node #2: [47, 42, 59] from Operation: 37+22=59 Current State: 54:[47, 42, 59], Operations: ['37+22=59'] Exploring Operation: 47-42=5, Resulting Numbers: [59, 5] Generated Node #3: [59, 5] from Operation: 47-42=5 Current State: 54:[59, 5], Operations: ['37+22=59', '47-42=5'] Exploring Operation: 59-5=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 11, 74, 94, 91 ]
66
[ "74-11=63", "94-91=3", "63+3=66" ]
Current State: 66:[11, 74, 94, 91], Operations: [] Exploring Operation: 74-11=63, Resulting Numbers: [94, 91, 63] Generated Node #2: [94, 91, 63] from Operation: 74-11=63 Current State: 66:[94, 91, 63], Operations: ['74-11=63'] Exploring Operation: 94-91=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 94-91=3 Current State: 66:[63, 3], Operations: ['74-11=63', '94-91=3'] Exploring Operation: 63+3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 4, 88, 69, 95 ]
72
[ "4+88=92", "69+95=164", "164-92=72" ]
Current State: 72:[4, 88, 69, 95], Operations: [] Exploring Operation: 4+88=92, Resulting Numbers: [69, 95, 92] Generated Node #2: [69, 95, 92] from Operation: 4+88=92 Current State: 72:[69, 95, 92], Operations: ['4+88=92'] Exploring Operation: 69+95=164, Resulting Numbers: [92, 164] Generated Node #3: [92, 164] from Operation: 69+95=164 Current State: 72:[92, 164], Operations: ['4+88=92', '69+95=164'] Exploring Operation: 164-92=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 86, 73, 49, 47 ]
83
[ "86-73=13", "49+47=96", "96-13=83" ]
Current State: 83:[86, 73, 49, 47], Operations: [] Exploring Operation: 86-73=13, Resulting Numbers: [49, 47, 13] Generated Node #2: [49, 47, 13] from Operation: 86-73=13 Current State: 83:[49, 47, 13], Operations: ['86-73=13'] Exploring Operation: 49+47=96, Resulting Numbers: [13, 96] Generated Node #3: [13, 96] from Operation: 49+47=96 Current State: 83:[13, 96], Operations: ['86-73=13', '49+47=96'] Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 45, 6, 9, 6 ]
48
[ "45+6=51", "9-6=3", "51-3=48" ]
Current State: 48:[45, 6, 9, 6], Operations: [] Exploring Operation: 45+6=51, Resulting Numbers: [9, 51] Generated Node #2: [9, 51] from Operation: 45+6=51 Current State: 48:[9, 51], Operations: ['45+6=51'] Exploring Operation: 9-6=3, Resulting Numbers: [51, 3] Generated Node #3: [51, 3] from Operation: 9-6=3 Current State: 48:[51, 3], Operations: ['45+6=51', '9-6=3'] Exploring Operation: 51-3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 32, 52, 61, 56 ]
25
[ "52-32=20", "61-56=5", "20+5=25" ]
Current State: 25:[32, 52, 61, 56], Operations: [] Exploring Operation: 52-32=20, Resulting Numbers: [61, 56, 20] Generated Node #2: [61, 56, 20] from Operation: 52-32=20 Current State: 25:[61, 56, 20], Operations: ['52-32=20'] Exploring Operation: 61-56=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 61-56=5 Current State: 25:[20, 5], Operations: ['52-32=20', '61-56=5'] Exploring Operation: 20+5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 71, 2, 46, 71 ]
92
[ "71+2=73", "73-71=2", "46*2=92" ]
Current State: 92:[71, 2, 46, 71], Operations: [] Exploring Operation: 71+2=73, Resulting Numbers: [46, 73] Generated Node #2: [46, 73] from Operation: 71+2=73 Current State: 92:[46, 73], Operations: ['71+2=73'] Exploring Operation: 73-71=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 73-71=2 Current State: 92:[46, 2], Operations: ['71+2=73', '73-71=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 9, 11, 12, 25 ]
44
[ "9+12=21", "25-21=4", "11*4=44" ]
Current State: 44:[9, 11, 12, 25], Operations: [] Exploring Operation: 9+12=21, Resulting Numbers: [11, 25, 21] Generated Node #2: [11, 25, 21] from Operation: 9+12=21 Current State: 44:[11, 25, 21], Operations: ['9+12=21'] Exploring Operation: 25-21=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 25-21=4 Current State: 44:[11, 4], Operations: ['9+12=21', '25-21=4'] Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 96, 7, 38, 83 ]
18
[ "96+7=103", "38+83=121", "121-103=18" ]
Current State: 18:[96, 7, 38, 83], Operations: [] Exploring Operation: 96+7=103, Resulting Numbers: [38, 83, 103] Generated Node #2: [38, 83, 103] from Operation: 96+7=103 Current State: 18:[38, 83, 103], Operations: ['96+7=103'] Exploring Operation: 38+83=121, Resulting Numbers: [103, 121] Generated Node #3: [103, 121] from Operation: 38+83=121 Current State: 18:[103, 121], Operations: ['96+7=103', '38+83=121'] Exploring Operation: 121-103=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 23, 76, 64, 24 ]
25
[ "76-64=12", "24/12=2", "23+2=25" ]
Current State: 25:[23, 76, 64, 24], Operations: [] Exploring Operation: 76-64=12, Resulting Numbers: [23, 24, 12] Generated Node #2: [23, 24, 12] from Operation: 76-64=12 Current State: 25:[23, 24, 12], Operations: ['76-64=12'] Exploring Operation: 24/12=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 24/12=2 Current State: 25:[23, 2], Operations: ['76-64=12', '24/12=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 8, 22, 98, 6 ]
21
[ "22+98=120", "120/8=15", "6+15=21" ]
Current State: 21:[8, 22, 98, 6], Operations: [] Exploring Operation: 22+98=120, Resulting Numbers: [8, 6, 120] Generated Node #2: [8, 6, 120] from Operation: 22+98=120 Current State: 21:[8, 6, 120], Operations: ['22+98=120'] Exploring Operation: 120/8=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 120/8=15 Current State: 21:[6, 15], Operations: ['22+98=120', '120/8=15'] Exploring Operation: 6+15=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 50, 52, 26, 2 ]
90
[ "50+26=76", "76/2=38", "52+38=90" ]
Current State: 90:[50, 52, 26, 2], Operations: [] Exploring Operation: 50+26=76, Resulting Numbers: [52, 2, 76] Generated Node #2: [52, 2, 76] from Operation: 50+26=76 Current State: 90:[52, 2, 76], Operations: ['50+26=76'] Exploring Operation: 76/2=38, Resulting Numbers: [52, 38] Generated Node #3: [52, 38] from Operation: 76/2=38 Current State: 90:[52, 38], Operations: ['50+26=76', '76/2=38'] Exploring Operation: 52+38=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 50, 38, 9, 20 ]
100
[ "38-20=18", "50*18=900", "900/9=100" ]
Current State: 100:[50, 38, 9, 20], Operations: [] Exploring Operation: 38-20=18, Resulting Numbers: [50, 9, 18] Generated Node #2: [50, 9, 18] from Operation: 38-20=18 Current State: 100:[50, 9, 18], Operations: ['38-20=18'] Exploring Operation: 50*18=900, Resulting Numbers: [9, 900] Generated Node #3: [9, 900] from Operation: 50*18=900 Current State: 100:[9, 900], Operations: ['38-20=18', '50*18=900'] Exploring Operation: 900/9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 79, 38, 76, 58 ]
17
[ "79+38=117", "76+58=134", "134-117=17" ]
Current State: 17:[79, 38, 76, 58], Operations: [] Exploring Operation: 79+38=117, Resulting Numbers: [76, 58, 117] Generated Node #2: [76, 58, 117] from Operation: 79+38=117 Current State: 17:[76, 58, 117], Operations: ['79+38=117'] Exploring Operation: 76+58=134, Resulting Numbers: [117, 134] Generated Node #3: [117, 134] from Operation: 76+58=134 Current State: 17:[117, 134], Operations: ['79+38=117', '76+58=134'] Exploring Operation: 134-117=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 44, 48, 84, 45 ]
66
[ "48-44=4", "84/4=21", "45+21=66" ]
Current State: 66:[44, 48, 84, 45], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [84, 45, 4] Generated Node #2: [84, 45, 4] from Operation: 48-44=4 Current State: 66:[84, 45, 4], Operations: ['48-44=4'] Exploring Operation: 84/4=21, Resulting Numbers: [45, 21] Generated Node #3: [45, 21] from Operation: 84/4=21 Current State: 66:[45, 21], Operations: ['48-44=4', '84/4=21'] Exploring Operation: 45+21=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 41, 50, 31, 78 ]
83
[ "41-31=10", "50/10=5", "78+5=83" ]
Current State: 83:[41, 50, 31, 78], Operations: [] Exploring Operation: 41-31=10, Resulting Numbers: [50, 78, 10] Generated Node #2: [50, 78, 10] from Operation: 41-31=10 Current State: 83:[50, 78, 10], Operations: ['41-31=10'] Exploring Operation: 50/10=5, Resulting Numbers: [78, 5] Generated Node #3: [78, 5] from Operation: 50/10=5 Current State: 83:[78, 5], Operations: ['41-31=10', '50/10=5'] Exploring Operation: 78+5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 88, 55, 6, 73 ]
76
[ "88+55=143", "73-6=67", "143-67=76" ]
Current State: 76:[88, 55, 6, 73], Operations: [] Exploring Operation: 88+55=143, Resulting Numbers: [6, 73, 143] Generated Node #2: [6, 73, 143] from Operation: 88+55=143 Current State: 76:[6, 73, 143], Operations: ['88+55=143'] Exploring Operation: 73-6=67, Resulting Numbers: [143, 67] Generated Node #3: [143, 67] from Operation: 73-6=67 Current State: 76:[143, 67], Operations: ['88+55=143', '73-6=67'] Exploring Operation: 143-67=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4