Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 45, 41, 94, 82 ]
79
[ "41+94=135", "135/45=3", "82-3=79" ]
Current State: 79:[45, 41, 94, 82], Operations: [] Exploring Operation: 41+94=135, Resulting Numbers: [45, 82, 135] Generated Node #2: [45, 82, 135] from Operation: 41+94=135 Current State: 79:[45, 82, 135], Operations: ['41+94=135'] Exploring Operation: 135/45=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 135/45=3 Current State: 79:[82, 3], Operations: ['41+94=135', '135/45=3'] Exploring Operation: 82-3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 71, 13, 20, 53 ]
15
[ "71-13=58", "20+53=73", "73-58=15" ]
Current State: 15:[71, 13, 20, 53], Operations: [] Exploring Operation: 71-13=58, Resulting Numbers: [20, 53, 58] Generated Node #2: [20, 53, 58] from Operation: 71-13=58 Current State: 15:[20, 53, 58], Operations: ['71-13=58'] Exploring Operation: 20+53=73, Resulting Numbers: [58, 73] Generated Node #3: [58, 73] from Operation: 20+53=73 Current State: 15:[58, 73], Operations: ['71-13=58', '20+53=73'] Exploring Operation: 73-58=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 10, 4, 63, 29 ]
28
[ "10-4=6", "63-29=34", "34-6=28" ]
Current State: 28:[10, 4, 63, 29], Operations: [] Exploring Operation: 10-4=6, Resulting Numbers: [63, 29, 6] Generated Node #2: [63, 29, 6] from Operation: 10-4=6 Current State: 28:[63, 29, 6], Operations: ['10-4=6'] Exploring Operation: 63-29=34, Resulting Numbers: [6, 34] Generated Node #3: [6, 34] from Operation: 63-29=34 Current State: 28:[6, 34], Operations: ['10-4=6', '63-29=34'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 49, 54, 15, 85 ]
88
[ "54-49=5", "15/5=3", "85+3=88" ]
Current State: 88:[49, 54, 15, 85], Operations: [] Exploring Operation: 54-49=5, Resulting Numbers: [15, 85, 5] Generated Node #2: [15, 85, 5] from Operation: 54-49=5 Current State: 88:[15, 85, 5], Operations: ['54-49=5'] Exploring Operation: 15/5=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 15/5=3 Current State: 88:[85, 3], Operations: ['54-49=5', '15/5=3'] Exploring Operation: 85+3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 91, 72, 86, 88 ]
53
[ "88-86=2", "72*2=144", "144-91=53" ]
Current State: 53:[91, 72, 86, 88], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [91, 72, 2] Generated Node #2: [91, 72, 2] from Operation: 88-86=2 Current State: 53:[91, 72, 2], Operations: ['88-86=2'] Exploring Operation: 72*2=144, Resulting Numbers: [91, 144] Generated Node #3: [91, 144] from Operation: 72*2=144 Current State: 53:[91, 144], Operations: ['88-86=2', '72*2=144'] Exploring Operation: 144-91=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 28, 85, 7, 8 ]
83
[ "28-7=21", "8*21=168", "168-85=83" ]
Current State: 83:[28, 85, 7, 8], Operations: [] Exploring Operation: 28-7=21, Resulting Numbers: [85, 8, 21] Generated Node #2: [85, 8, 21] from Operation: 28-7=21 Current State: 83:[85, 8, 21], Operations: ['28-7=21'] Exploring Operation: 8*21=168, Resulting Numbers: [85, 168] Generated Node #3: [85, 168] from Operation: 8*21=168 Current State: 83:[85, 168], Operations: ['28-7=21', '8*21=168'] Exploring Operation: 168-85=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 33, 57, 94, 97 ]
72
[ "57-33=24", "97-94=3", "24*3=72" ]
Current State: 72:[33, 57, 94, 97], Operations: [] Exploring Operation: 57-33=24, Resulting Numbers: [94, 97, 24] Generated Node #2: [94, 97, 24] from Operation: 57-33=24 Current State: 72:[94, 97, 24], Operations: ['57-33=24'] Exploring Operation: 97-94=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 97-94=3 Current State: 72:[24, 3], Operations: ['57-33=24', '97-94=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 20, 3, 76, 14 ]
46
[ "20+76=96", "96/3=32", "14+32=46" ]
Current State: 46:[20, 3, 76, 14], Operations: [] Exploring Operation: 20+76=96, Resulting Numbers: [3, 14, 96] Generated Node #2: [3, 14, 96] from Operation: 20+76=96 Current State: 46:[3, 14, 96], Operations: ['20+76=96'] Exploring Operation: 96/3=32, Resulting Numbers: [14, 32] Generated Node #3: [14, 32] from Operation: 96/3=32 Current State: 46:[14, 32], Operations: ['20+76=96', '96/3=32'] Exploring Operation: 14+32=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 4, 82, 69, 2 ]
15
[ "4+82=86", "69+2=71", "86-71=15" ]
Current State: 15:[4, 82, 69, 2], Operations: [] Exploring Operation: 4+82=86, Resulting Numbers: [69, 2, 86] Generated Node #2: [69, 2, 86] from Operation: 4+82=86 Current State: 15:[69, 2, 86], Operations: ['4+82=86'] Exploring Operation: 69+2=71, Resulting Numbers: [86, 71] Generated Node #3: [86, 71] from Operation: 69+2=71 Current State: 15:[86, 71], Operations: ['4+82=86', '69+2=71'] Exploring Operation: 86-71=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 15, 35, 4, 45 ]
34
[ "45/15=3", "35-4=31", "3+31=34" ]
Current State: 34:[15, 35, 4, 45], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [35, 4, 3] Generated Node #2: [35, 4, 3] from Operation: 45/15=3 Current State: 34:[35, 4, 3], Operations: ['45/15=3'] Exploring Operation: 35-4=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 35-4=31 Current State: 34:[3, 31], Operations: ['45/15=3', '35-4=31'] Exploring Operation: 3+31=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 27, 14, 8, 57 ]
14
[ "27+57=84", "14-8=6", "84/6=14" ]
Current State: 14:[27, 14, 8, 57], Operations: [] Exploring Operation: 27+57=84, Resulting Numbers: [14, 8, 84] Generated Node #2: [14, 8, 84] from Operation: 27+57=84 Current State: 14:[14, 8, 84], Operations: ['27+57=84'] Exploring Operation: 14-8=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 14-8=6 Current State: 14:[84, 6], Operations: ['27+57=84', '14-8=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 62, 39, 4, 52 ]
10
[ "62-39=23", "52/4=13", "23-13=10" ]
Current State: 10:[62, 39, 4, 52], Operations: [] Exploring Operation: 62-39=23, Resulting Numbers: [4, 52, 23] Generated Node #2: [4, 52, 23] from Operation: 62-39=23 Current State: 10:[4, 52, 23], Operations: ['62-39=23'] Exploring Operation: 52/4=13, Resulting Numbers: [23, 13] Generated Node #3: [23, 13] from Operation: 52/4=13 Current State: 10:[23, 13], Operations: ['62-39=23', '52/4=13'] Exploring Operation: 23-13=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 64, 13, 71, 28 ]
52
[ "71-64=7", "13*28=364", "364/7=52" ]
Current State: 52:[64, 13, 71, 28], Operations: [] Exploring Operation: 71-64=7, Resulting Numbers: [13, 28, 7] Generated Node #2: [13, 28, 7] from Operation: 71-64=7 Current State: 52:[13, 28, 7], Operations: ['71-64=7'] Exploring Operation: 13*28=364, Resulting Numbers: [7, 364] Generated Node #3: [7, 364] from Operation: 13*28=364 Current State: 52:[7, 364], Operations: ['71-64=7', '13*28=364'] Exploring Operation: 364/7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 36, 7, 75, 25 ]
98
[ "75-36=39", "39-25=14", "7*14=98" ]
Current State: 98:[36, 7, 75, 25], Operations: [] Exploring Operation: 75-36=39, Resulting Numbers: [7, 25, 39] Generated Node #2: [7, 25, 39] from Operation: 75-36=39 Current State: 98:[7, 25, 39], Operations: ['75-36=39'] Exploring Operation: 39-25=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 39-25=14 Current State: 98:[7, 14], Operations: ['75-36=39', '39-25=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 84, 15, 86, 89 ]
39
[ "89-86=3", "15*3=45", "84-45=39" ]
Current State: 39:[84, 15, 86, 89], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [84, 15, 3] Generated Node #2: [84, 15, 3] from Operation: 89-86=3 Current State: 39:[84, 15, 3], Operations: ['89-86=3'] Exploring Operation: 15*3=45, Resulting Numbers: [84, 45] Generated Node #3: [84, 45] from Operation: 15*3=45 Current State: 39:[84, 45], Operations: ['89-86=3', '15*3=45'] Exploring Operation: 84-45=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 3, 1, 63, 87 ]
28
[ "3+1=4", "87-63=24", "4+24=28" ]
Current State: 28:[3, 1, 63, 87], Operations: [] Exploring Operation: 3+1=4, Resulting Numbers: [63, 87, 4] Generated Node #2: [63, 87, 4] from Operation: 3+1=4 Current State: 28:[63, 87, 4], Operations: ['3+1=4'] Exploring Operation: 87-63=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 87-63=24 Current State: 28:[4, 24], Operations: ['3+1=4', '87-63=24'] Exploring Operation: 4+24=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 17, 78, 5, 29 ]
27
[ "78-17=61", "5+29=34", "61-34=27" ]
Current State: 27:[17, 78, 5, 29], Operations: [] Exploring Operation: 78-17=61, Resulting Numbers: [5, 29, 61] Generated Node #2: [5, 29, 61] from Operation: 78-17=61 Current State: 27:[5, 29, 61], Operations: ['78-17=61'] Exploring Operation: 5+29=34, Resulting Numbers: [61, 34] Generated Node #3: [61, 34] from Operation: 5+29=34 Current State: 27:[61, 34], Operations: ['78-17=61', '5+29=34'] Exploring Operation: 61-34=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 49, 12, 6, 78 ]
50
[ "49-12=37", "78/6=13", "37+13=50" ]
Current State: 50:[49, 12, 6, 78], Operations: [] Exploring Operation: 49-12=37, Resulting Numbers: [6, 78, 37] Generated Node #2: [6, 78, 37] from Operation: 49-12=37 Current State: 50:[6, 78, 37], Operations: ['49-12=37'] Exploring Operation: 78/6=13, Resulting Numbers: [37, 13] Generated Node #3: [37, 13] from Operation: 78/6=13 Current State: 50:[37, 13], Operations: ['49-12=37', '78/6=13'] Exploring Operation: 37+13=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 80, 24, 59, 12 ]
38
[ "24*59=1416", "1416/12=118", "118-80=38" ]
Current State: 38:[80, 24, 59, 12], Operations: [] Exploring Operation: 24*59=1416, Resulting Numbers: [80, 12, 1416] Generated Node #2: [80, 12, 1416] from Operation: 24*59=1416 Current State: 38:[80, 12, 1416], Operations: ['24*59=1416'] Exploring Operation: 1416/12=118, Resulting Numbers: [80, 118] Generated Node #3: [80, 118] from Operation: 1416/12=118 Current State: 38:[80, 118], Operations: ['24*59=1416', '1416/12=118'] Exploring Operation: 118-80=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 6, 8, 31, 69 ]
61
[ "8*69=552", "552/6=92", "92-31=61" ]
Current State: 61:[6, 8, 31, 69], Operations: [] Exploring Operation: 8*69=552, Resulting Numbers: [6, 31, 552] Generated Node #2: [6, 31, 552] from Operation: 8*69=552 Current State: 61:[6, 31, 552], Operations: ['8*69=552'] Exploring Operation: 552/6=92, Resulting Numbers: [31, 92] Generated Node #3: [31, 92] from Operation: 552/6=92 Current State: 61:[31, 92], Operations: ['8*69=552', '552/6=92'] Exploring Operation: 92-31=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 97, 14, 13, 9 ]
100
[ "14+13=27", "27/9=3", "97+3=100" ]
Current State: 100:[97, 14, 13, 9], Operations: [] Exploring Operation: 14+13=27, Resulting Numbers: [97, 9, 27] Generated Node #2: [97, 9, 27] from Operation: 14+13=27 Current State: 100:[97, 9, 27], Operations: ['14+13=27'] Exploring Operation: 27/9=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 27/9=3 Current State: 100:[97, 3], Operations: ['14+13=27', '27/9=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 49, 38, 81, 4 ]
42
[ "49+38=87", "81+87=168", "168/4=42" ]
Current State: 42:[49, 38, 81, 4], Operations: [] Exploring Operation: 49+38=87, Resulting Numbers: [81, 4, 87] Generated Node #2: [81, 4, 87] from Operation: 49+38=87 Current State: 42:[81, 4, 87], Operations: ['49+38=87'] Exploring Operation: 81+87=168, Resulting Numbers: [4, 168] Generated Node #3: [4, 168] from Operation: 81+87=168 Current State: 42:[4, 168], Operations: ['49+38=87', '81+87=168'] Exploring Operation: 168/4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 47, 28, 25, 79 ]
82
[ "47+28=75", "75/25=3", "79+3=82" ]
Current State: 82:[47, 28, 25, 79], Operations: [] Exploring Operation: 47+28=75, Resulting Numbers: [25, 79, 75] Generated Node #2: [25, 79, 75] from Operation: 47+28=75 Current State: 82:[25, 79, 75], Operations: ['47+28=75'] Exploring Operation: 75/25=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 75/25=3 Current State: 82:[79, 3], Operations: ['47+28=75', '75/25=3'] Exploring Operation: 79+3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 49, 13, 37, 52 ]
47
[ "49+13=62", "52-37=15", "62-15=47" ]
Current State: 47:[49, 13, 37, 52], Operations: [] Exploring Operation: 49+13=62, Resulting Numbers: [37, 52, 62] Generated Node #2: [37, 52, 62] from Operation: 49+13=62 Current State: 47:[37, 52, 62], Operations: ['49+13=62'] Exploring Operation: 52-37=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 52-37=15 Current State: 47:[62, 15], Operations: ['49+13=62', '52-37=15'] Exploring Operation: 62-15=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 9, 21, 36, 21 ]
63
[ "21-9=12", "36*21=756", "756/12=63" ]
Current State: 63:[9, 21, 36, 21], Operations: [] Exploring Operation: 21-9=12, Resulting Numbers: [36, 12] Generated Node #2: [36, 12] from Operation: 21-9=12 Current State: 63:[36, 12], Operations: ['21-9=12'] Exploring Operation: 36*21=756, Resulting Numbers: [12, 756] Generated Node #3: [12, 756] from Operation: 36*21=756 Current State: 63:[12, 756], Operations: ['21-9=12', '36*21=756'] Exploring Operation: 756/12=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 26, 6, 35, 77 ]
44
[ "26*6=156", "35+77=112", "156-112=44" ]
Current State: 44:[26, 6, 35, 77], Operations: [] Exploring Operation: 26*6=156, Resulting Numbers: [35, 77, 156] Generated Node #2: [35, 77, 156] from Operation: 26*6=156 Current State: 44:[35, 77, 156], Operations: ['26*6=156'] Exploring Operation: 35+77=112, Resulting Numbers: [156, 112] Generated Node #3: [156, 112] from Operation: 35+77=112 Current State: 44:[156, 112], Operations: ['26*6=156', '35+77=112'] Exploring Operation: 156-112=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 28, 83, 62, 52 ]
59
[ "83-28=55", "62+52=114", "114-55=59" ]
Current State: 59:[28, 83, 62, 52], Operations: [] Exploring Operation: 83-28=55, Resulting Numbers: [62, 52, 55] Generated Node #2: [62, 52, 55] from Operation: 83-28=55 Current State: 59:[62, 52, 55], Operations: ['83-28=55'] Exploring Operation: 62+52=114, Resulting Numbers: [55, 114] Generated Node #3: [55, 114] from Operation: 62+52=114 Current State: 59:[55, 114], Operations: ['83-28=55', '62+52=114'] Exploring Operation: 114-55=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 44, 11, 72, 48 ]
79
[ "44+11=55", "72-48=24", "55+24=79" ]
Current State: 79:[44, 11, 72, 48], Operations: [] Exploring Operation: 44+11=55, Resulting Numbers: [72, 48, 55] Generated Node #2: [72, 48, 55] from Operation: 44+11=55 Current State: 79:[72, 48, 55], Operations: ['44+11=55'] Exploring Operation: 72-48=24, Resulting Numbers: [55, 24] Generated Node #3: [55, 24] from Operation: 72-48=24 Current State: 79:[55, 24], Operations: ['44+11=55', '72-48=24'] Exploring Operation: 55+24=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 53, 2, 5, 45 ]
86
[ "5*45=225", "225-53=172", "172/2=86" ]
Current State: 86:[53, 2, 5, 45], Operations: [] Exploring Operation: 5*45=225, Resulting Numbers: [53, 2, 225] Generated Node #2: [53, 2, 225] from Operation: 5*45=225 Current State: 86:[53, 2, 225], Operations: ['5*45=225'] Exploring Operation: 225-53=172, Resulting Numbers: [2, 172] Generated Node #3: [2, 172] from Operation: 225-53=172 Current State: 86:[2, 172], Operations: ['5*45=225', '225-53=172'] Exploring Operation: 172/2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 87, 55, 97, 41 ]
87
[ "97-55=42", "42-41=1", "87*1=87" ]
Current State: 87:[87, 55, 97, 41], Operations: [] Exploring Operation: 97-55=42, Resulting Numbers: [87, 41, 42] Generated Node #2: [87, 41, 42] from Operation: 97-55=42 Current State: 87:[87, 41, 42], Operations: ['97-55=42'] Exploring Operation: 42-41=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 42-41=1 Current State: 87:[87, 1], Operations: ['97-55=42', '42-41=1'] Exploring Operation: 87*1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 2, 83, 88, 80 ]
94
[ "83-80=3", "2*3=6", "88+6=94" ]
Current State: 94:[2, 83, 88, 80], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [2, 88, 3] Generated Node #2: [2, 88, 3] from Operation: 83-80=3 Current State: 94:[2, 88, 3], Operations: ['83-80=3'] Exploring Operation: 2*3=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 2*3=6 Current State: 94:[88, 6], Operations: ['83-80=3', '2*3=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 2, 46, 10, 27 ]
10
[ "2*27=54", "46+54=100", "100/10=10" ]
Current State: 10:[2, 46, 10, 27], Operations: [] Exploring Operation: 2*27=54, Resulting Numbers: [46, 10, 54] Generated Node #2: [46, 10, 54] from Operation: 2*27=54 Current State: 10:[46, 10, 54], Operations: ['2*27=54'] Exploring Operation: 46+54=100, Resulting Numbers: [10, 100] Generated Node #3: [10, 100] from Operation: 46+54=100 Current State: 10:[10, 100], Operations: ['2*27=54', '46+54=100'] Exploring Operation: 100/10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 54, 27, 5, 2 ]
65
[ "27-5=22", "22/2=11", "54+11=65" ]
Current State: 65:[54, 27, 5, 2], Operations: [] Exploring Operation: 27-5=22, Resulting Numbers: [54, 2, 22] Generated Node #2: [54, 2, 22] from Operation: 27-5=22 Current State: 65:[54, 2, 22], Operations: ['27-5=22'] Exploring Operation: 22/2=11, Resulting Numbers: [54, 11] Generated Node #3: [54, 11] from Operation: 22/2=11 Current State: 65:[54, 11], Operations: ['27-5=22', '22/2=11'] Exploring Operation: 54+11=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 46, 78, 39, 41 ]
23
[ "78-39=39", "41-39=2", "46/2=23" ]
Current State: 23:[46, 78, 39, 41], Operations: [] Exploring Operation: 78-39=39, Resulting Numbers: [46, 41, 39] Generated Node #2: [46, 41, 39] from Operation: 78-39=39 Current State: 23:[46, 41, 39], Operations: ['78-39=39'] Exploring Operation: 41-39=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 41-39=2 Current State: 23:[46, 2], Operations: ['78-39=39', '41-39=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 56, 98, 59, 32 ]
52
[ "59+32=91", "56*91=5096", "5096/98=52" ]
Current State: 52:[56, 98, 59, 32], Operations: [] Exploring Operation: 59+32=91, Resulting Numbers: [56, 98, 91] Generated Node #2: [56, 98, 91] from Operation: 59+32=91 Current State: 52:[56, 98, 91], Operations: ['59+32=91'] Exploring Operation: 56*91=5096, Resulting Numbers: [98, 5096] Generated Node #3: [98, 5096] from Operation: 56*91=5096 Current State: 52:[98, 5096], Operations: ['59+32=91', '56*91=5096'] Exploring Operation: 5096/98=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 69, 71, 96 ]
50
[ "96/2=48", "71-69=2", "48+2=50" ]
Current State: 50:[2, 69, 71, 96], Operations: [] Exploring Operation: 96/2=48, Resulting Numbers: [69, 71, 48] Generated Node #2: [69, 71, 48] from Operation: 96/2=48 Current State: 50:[69, 71, 48], Operations: ['96/2=48'] Exploring Operation: 71-69=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 71-69=2 Current State: 50:[48, 2], Operations: ['96/2=48', '71-69=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 41, 12, 12, 51 ]
34
[ "41-12=29", "12+51=63", "63-29=34" ]
Current State: 34:[41, 12, 12, 51], Operations: [] Exploring Operation: 41-12=29, Resulting Numbers: [51, 29] Generated Node #2: [51, 29] from Operation: 41-12=29 Current State: 34:[51, 29], Operations: ['41-12=29'] Exploring Operation: 12+51=63, Resulting Numbers: [29, 63] Generated Node #3: [29, 63] from Operation: 12+51=63 Current State: 34:[29, 63], Operations: ['41-12=29', '12+51=63'] Exploring Operation: 63-29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 86, 36, 26 ]
88
[ "36-26=10", "10/5=2", "86+2=88" ]
Current State: 88:[5, 86, 36, 26], Operations: [] Exploring Operation: 36-26=10, Resulting Numbers: [5, 86, 10] Generated Node #2: [5, 86, 10] from Operation: 36-26=10 Current State: 88:[5, 86, 10], Operations: ['36-26=10'] Exploring Operation: 10/5=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 10/5=2 Current State: 88:[86, 2], Operations: ['36-26=10', '10/5=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 35, 76, 56, 33 ]
94
[ "35-33=2", "76/2=38", "56+38=94" ]
Current State: 94:[35, 76, 56, 33], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [76, 56, 2] Generated Node #2: [76, 56, 2] from Operation: 35-33=2 Current State: 94:[76, 56, 2], Operations: ['35-33=2'] Exploring Operation: 76/2=38, Resulting Numbers: [56, 38] Generated Node #3: [56, 38] from Operation: 76/2=38 Current State: 94:[56, 38], Operations: ['35-33=2', '76/2=38'] Exploring Operation: 56+38=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 64, 32, 77, 81 ]
73
[ "64/32=2", "77*2=154", "154-81=73" ]
Current State: 73:[64, 32, 77, 81], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [77, 81, 2] Generated Node #2: [77, 81, 2] from Operation: 64/32=2 Current State: 73:[77, 81, 2], Operations: ['64/32=2'] Exploring Operation: 77*2=154, Resulting Numbers: [81, 154] Generated Node #3: [81, 154] from Operation: 77*2=154 Current State: 73:[81, 154], Operations: ['64/32=2', '77*2=154'] Exploring Operation: 154-81=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 59, 52, 82, 60 ]
31
[ "59+52=111", "82+60=142", "142-111=31" ]
Current State: 31:[59, 52, 82, 60], Operations: [] Exploring Operation: 59+52=111, Resulting Numbers: [82, 60, 111] Generated Node #2: [82, 60, 111] from Operation: 59+52=111 Current State: 31:[82, 60, 111], Operations: ['59+52=111'] Exploring Operation: 82+60=142, Resulting Numbers: [111, 142] Generated Node #3: [111, 142] from Operation: 82+60=142 Current State: 31:[111, 142], Operations: ['59+52=111', '82+60=142'] Exploring Operation: 142-111=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 17, 27, 78, 73 ]
50
[ "27-17=10", "78-73=5", "10*5=50" ]
Current State: 50:[17, 27, 78, 73], Operations: [] Exploring Operation: 27-17=10, Resulting Numbers: [78, 73, 10] Generated Node #2: [78, 73, 10] from Operation: 27-17=10 Current State: 50:[78, 73, 10], Operations: ['27-17=10'] Exploring Operation: 78-73=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 78-73=5 Current State: 50:[10, 5], Operations: ['27-17=10', '78-73=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 87, 15, 6, 88 ]
91
[ "88-87=1", "15*6=90", "1+90=91" ]
Current State: 91:[87, 15, 6, 88], Operations: [] Exploring Operation: 88-87=1, Resulting Numbers: [15, 6, 1] Generated Node #2: [15, 6, 1] from Operation: 88-87=1 Current State: 91:[15, 6, 1], Operations: ['88-87=1'] Exploring Operation: 15*6=90, Resulting Numbers: [1, 90] Generated Node #3: [1, 90] from Operation: 15*6=90 Current State: 91:[1, 90], Operations: ['88-87=1', '15*6=90'] Exploring Operation: 1+90=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 96, 26, 24, 20 ]
24
[ "96/24=4", "26-20=6", "4*6=24" ]
Current State: 24:[96, 26, 24, 20], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [26, 20, 4] Generated Node #2: [26, 20, 4] from Operation: 96/24=4 Current State: 24:[26, 20, 4], Operations: ['96/24=4'] Exploring Operation: 26-20=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 26-20=6 Current State: 24:[4, 6], Operations: ['96/24=4', '26-20=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 3, 8, 30, 60 ]
90
[ "8-3=5", "30*5=150", "150-60=90" ]
Current State: 90:[3, 8, 30, 60], Operations: [] Exploring Operation: 8-3=5, Resulting Numbers: [30, 60, 5] Generated Node #2: [30, 60, 5] from Operation: 8-3=5 Current State: 90:[30, 60, 5], Operations: ['8-3=5'] Exploring Operation: 30*5=150, Resulting Numbers: [60, 150] Generated Node #3: [60, 150] from Operation: 30*5=150 Current State: 90:[60, 150], Operations: ['8-3=5', '30*5=150'] Exploring Operation: 150-60=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 65, 95, 16, 95 ]
50
[ "65-16=49", "95/95=1", "49+1=50" ]
Current State: 50:[65, 95, 16, 95], Operations: [] Exploring Operation: 65-16=49, Resulting Numbers: [95, 95, 49] Generated Node #2: [95, 95, 49] from Operation: 65-16=49 Current State: 50:[95, 95, 49], Operations: ['65-16=49'] Exploring Operation: 95/95=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 95/95=1 Current State: 50:[49, 1], Operations: ['65-16=49', '95/95=1'] Exploring Operation: 49+1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 11, 83, 56, 81 ]
97
[ "83-11=72", "81-56=25", "72+25=97" ]
Current State: 97:[11, 83, 56, 81], Operations: [] Exploring Operation: 83-11=72, Resulting Numbers: [56, 81, 72] Generated Node #2: [56, 81, 72] from Operation: 83-11=72 Current State: 97:[56, 81, 72], Operations: ['83-11=72'] Exploring Operation: 81-56=25, Resulting Numbers: [72, 25] Generated Node #3: [72, 25] from Operation: 81-56=25 Current State: 97:[72, 25], Operations: ['83-11=72', '81-56=25'] Exploring Operation: 72+25=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 44, 49, 80, 95 ]
10
[ "49-44=5", "95-80=15", "15-5=10" ]
Current State: 10:[44, 49, 80, 95], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [80, 95, 5] Generated Node #2: [80, 95, 5] from Operation: 49-44=5 Current State: 10:[80, 95, 5], Operations: ['49-44=5'] Exploring Operation: 95-80=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 95-80=15 Current State: 10:[5, 15], Operations: ['49-44=5', '95-80=15'] Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 74, 38, 52, 72 ]
12
[ "74+38=112", "52+72=124", "124-112=12" ]
Current State: 12:[74, 38, 52, 72], Operations: [] Exploring Operation: 74+38=112, Resulting Numbers: [52, 72, 112] Generated Node #2: [52, 72, 112] from Operation: 74+38=112 Current State: 12:[52, 72, 112], Operations: ['74+38=112'] Exploring Operation: 52+72=124, Resulting Numbers: [112, 124] Generated Node #3: [112, 124] from Operation: 52+72=124 Current State: 12:[112, 124], Operations: ['74+38=112', '52+72=124'] Exploring Operation: 124-112=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 72, 63, 68, 48 ]
51
[ "72-68=4", "48/4=12", "63-12=51" ]
Current State: 51:[72, 63, 68, 48], Operations: [] Exploring Operation: 72-68=4, Resulting Numbers: [63, 48, 4] Generated Node #2: [63, 48, 4] from Operation: 72-68=4 Current State: 51:[63, 48, 4], Operations: ['72-68=4'] Exploring Operation: 48/4=12, Resulting Numbers: [63, 12] Generated Node #3: [63, 12] from Operation: 48/4=12 Current State: 51:[63, 12], Operations: ['72-68=4', '48/4=12'] Exploring Operation: 63-12=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 33, 67, 64, 62 ]
17
[ "67-33=34", "64-62=2", "34/2=17" ]
Current State: 17:[33, 67, 64, 62], Operations: [] Exploring Operation: 67-33=34, Resulting Numbers: [64, 62, 34] Generated Node #2: [64, 62, 34] from Operation: 67-33=34 Current State: 17:[64, 62, 34], Operations: ['67-33=34'] Exploring Operation: 64-62=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 64-62=2 Current State: 17:[34, 2], Operations: ['67-33=34', '64-62=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 68, 63, 72, 15 ]
74
[ "68+63=131", "72-15=57", "131-57=74" ]
Current State: 74:[68, 63, 72, 15], Operations: [] Exploring Operation: 68+63=131, Resulting Numbers: [72, 15, 131] Generated Node #2: [72, 15, 131] from Operation: 68+63=131 Current State: 74:[72, 15, 131], Operations: ['68+63=131'] Exploring Operation: 72-15=57, Resulting Numbers: [131, 57] Generated Node #3: [131, 57] from Operation: 72-15=57 Current State: 74:[131, 57], Operations: ['68+63=131', '72-15=57'] Exploring Operation: 131-57=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 24, 89, 66, 86 ]
86
[ "89-24=65", "66-65=1", "86*1=86" ]
Current State: 86:[24, 89, 66, 86], Operations: [] Exploring Operation: 89-24=65, Resulting Numbers: [66, 86, 65] Generated Node #2: [66, 86, 65] from Operation: 89-24=65 Current State: 86:[66, 86, 65], Operations: ['89-24=65'] Exploring Operation: 66-65=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 66-65=1 Current State: 86:[86, 1], Operations: ['89-24=65', '66-65=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 60, 28, 25, 79 ]
34
[ "60+28=88", "79-25=54", "88-54=34" ]
Current State: 34:[60, 28, 25, 79], Operations: [] Exploring Operation: 60+28=88, Resulting Numbers: [25, 79, 88] Generated Node #2: [25, 79, 88] from Operation: 60+28=88 Current State: 34:[25, 79, 88], Operations: ['60+28=88'] Exploring Operation: 79-25=54, Resulting Numbers: [88, 54] Generated Node #3: [88, 54] from Operation: 79-25=54 Current State: 34:[88, 54], Operations: ['60+28=88', '79-25=54'] Exploring Operation: 88-54=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 14, 21, 7, 3 ]
36
[ "14/7=2", "21-3=18", "2*18=36" ]
Current State: 36:[14, 21, 7, 3], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [21, 3, 2] Generated Node #2: [21, 3, 2] from Operation: 14/7=2 Current State: 36:[21, 3, 2], Operations: ['14/7=2'] Exploring Operation: 21-3=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 21-3=18 Current State: 36:[2, 18], Operations: ['14/7=2', '21-3=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 8, 17, 67, 31 ]
100
[ "8*17=136", "67-31=36", "136-36=100" ]
Current State: 100:[8, 17, 67, 31], Operations: [] Exploring Operation: 8*17=136, Resulting Numbers: [67, 31, 136] Generated Node #2: [67, 31, 136] from Operation: 8*17=136 Current State: 100:[67, 31, 136], Operations: ['8*17=136'] Exploring Operation: 67-31=36, Resulting Numbers: [136, 36] Generated Node #3: [136, 36] from Operation: 67-31=36 Current State: 100:[136, 36], Operations: ['8*17=136', '67-31=36'] Exploring Operation: 136-36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 31, 4, 18, 93 ]
48
[ "31-4=27", "93-18=75", "75-27=48" ]
Current State: 48:[31, 4, 18, 93], Operations: [] Exploring Operation: 31-4=27, Resulting Numbers: [18, 93, 27] Generated Node #2: [18, 93, 27] from Operation: 31-4=27 Current State: 48:[18, 93, 27], Operations: ['31-4=27'] Exploring Operation: 93-18=75, Resulting Numbers: [27, 75] Generated Node #3: [27, 75] from Operation: 93-18=75 Current State: 48:[27, 75], Operations: ['31-4=27', '93-18=75'] Exploring Operation: 75-27=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 10, 75, 14, 89 ]
10
[ "10+75=85", "89-14=75", "85-75=10" ]
Current State: 10:[10, 75, 14, 89], Operations: [] Exploring Operation: 10+75=85, Resulting Numbers: [14, 89, 85] Generated Node #2: [14, 89, 85] from Operation: 10+75=85 Current State: 10:[14, 89, 85], Operations: ['10+75=85'] Exploring Operation: 89-14=75, Resulting Numbers: [85, 75] Generated Node #3: [85, 75] from Operation: 89-14=75 Current State: 10:[85, 75], Operations: ['10+75=85', '89-14=75'] Exploring Operation: 85-75=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 14, 21, 2, 38 ]
59
[ "21*38=798", "798/14=57", "2+57=59" ]
Current State: 59:[14, 21, 2, 38], Operations: [] Exploring Operation: 21*38=798, Resulting Numbers: [14, 2, 798] Generated Node #2: [14, 2, 798] from Operation: 21*38=798 Current State: 59:[14, 2, 798], Operations: ['21*38=798'] Exploring Operation: 798/14=57, Resulting Numbers: [2, 57] Generated Node #3: [2, 57] from Operation: 798/14=57 Current State: 59:[2, 57], Operations: ['21*38=798', '798/14=57'] Exploring Operation: 2+57=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 13, 64, 10, 6 ]
81
[ "13+64=77", "10-6=4", "77+4=81" ]
Current State: 81:[13, 64, 10, 6], Operations: [] Exploring Operation: 13+64=77, Resulting Numbers: [10, 6, 77] Generated Node #2: [10, 6, 77] from Operation: 13+64=77 Current State: 81:[10, 6, 77], Operations: ['13+64=77'] Exploring Operation: 10-6=4, Resulting Numbers: [77, 4] Generated Node #3: [77, 4] from Operation: 10-6=4 Current State: 81:[77, 4], Operations: ['13+64=77', '10-6=4'] Exploring Operation: 77+4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 54, 35, 82, 88 ]
82
[ "54+35=89", "89-88=1", "82*1=82" ]
Current State: 82:[54, 35, 82, 88], Operations: [] Exploring Operation: 54+35=89, Resulting Numbers: [82, 88, 89] Generated Node #2: [82, 88, 89] from Operation: 54+35=89 Current State: 82:[82, 88, 89], Operations: ['54+35=89'] Exploring Operation: 89-88=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 89-88=1 Current State: 82:[82, 1], Operations: ['54+35=89', '89-88=1'] Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 55, 13, 60, 47 ]
81
[ "55+13=68", "60-47=13", "68+13=81" ]
Current State: 81:[55, 13, 60, 47], Operations: [] Exploring Operation: 55+13=68, Resulting Numbers: [60, 47, 68] Generated Node #2: [60, 47, 68] from Operation: 55+13=68 Current State: 81:[60, 47, 68], Operations: ['55+13=68'] Exploring Operation: 60-47=13, Resulting Numbers: [68, 13] Generated Node #3: [68, 13] from Operation: 60-47=13 Current State: 81:[68, 13], Operations: ['55+13=68', '60-47=13'] Exploring Operation: 68+13=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 4, 88, 6, 58 ]
44
[ "88-4=84", "84/6=14", "58-14=44" ]
Current State: 44:[4, 88, 6, 58], Operations: [] Exploring Operation: 88-4=84, Resulting Numbers: [6, 58, 84] Generated Node #2: [6, 58, 84] from Operation: 88-4=84 Current State: 44:[6, 58, 84], Operations: ['88-4=84'] Exploring Operation: 84/6=14, Resulting Numbers: [58, 14] Generated Node #3: [58, 14] from Operation: 84/6=14 Current State: 44:[58, 14], Operations: ['88-4=84', '84/6=14'] Exploring Operation: 58-14=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 50, 45, 1, 91 ]
81
[ "91-1=90", "45*90=4050", "4050/50=81" ]
Current State: 81:[50, 45, 1, 91], Operations: [] Exploring Operation: 91-1=90, Resulting Numbers: [50, 45, 90] Generated Node #2: [50, 45, 90] from Operation: 91-1=90 Current State: 81:[50, 45, 90], Operations: ['91-1=90'] Exploring Operation: 45*90=4050, Resulting Numbers: [50, 4050] Generated Node #3: [50, 4050] from Operation: 45*90=4050 Current State: 81:[50, 4050], Operations: ['91-1=90', '45*90=4050'] Exploring Operation: 4050/50=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 34, 22, 32, 78 ]
28
[ "34-32=2", "78-22=56", "56/2=28" ]
Current State: 28:[34, 22, 32, 78], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [22, 78, 2] Generated Node #2: [22, 78, 2] from Operation: 34-32=2 Current State: 28:[22, 78, 2], Operations: ['34-32=2'] Exploring Operation: 78-22=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 78-22=56 Current State: 28:[2, 56], Operations: ['34-32=2', '78-22=56'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 48, 88, 4, 93 ]
83
[ "88-48=40", "40/4=10", "93-10=83" ]
Current State: 83:[48, 88, 4, 93], Operations: [] Exploring Operation: 88-48=40, Resulting Numbers: [4, 93, 40] Generated Node #2: [4, 93, 40] from Operation: 88-48=40 Current State: 83:[4, 93, 40], Operations: ['88-48=40'] Exploring Operation: 40/4=10, Resulting Numbers: [93, 10] Generated Node #3: [93, 10] from Operation: 40/4=10 Current State: 83:[93, 10], Operations: ['88-48=40', '40/4=10'] Exploring Operation: 93-10=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 6, 7, 20, 56 ]
37
[ "7-6=1", "56-20=36", "1+36=37" ]
Current State: 37:[6, 7, 20, 56], Operations: [] Exploring Operation: 7-6=1, Resulting Numbers: [20, 56, 1] Generated Node #2: [20, 56, 1] from Operation: 7-6=1 Current State: 37:[20, 56, 1], Operations: ['7-6=1'] Exploring Operation: 56-20=36, Resulting Numbers: [1, 36] Generated Node #3: [1, 36] from Operation: 56-20=36 Current State: 37:[1, 36], Operations: ['7-6=1', '56-20=36'] Exploring Operation: 1+36=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 41, 26, 2, 35 ]
21
[ "41*2=82", "26+35=61", "82-61=21" ]
Current State: 21:[41, 26, 2, 35], Operations: [] Exploring Operation: 41*2=82, Resulting Numbers: [26, 35, 82] Generated Node #2: [26, 35, 82] from Operation: 41*2=82 Current State: 21:[26, 35, 82], Operations: ['41*2=82'] Exploring Operation: 26+35=61, Resulting Numbers: [82, 61] Generated Node #3: [82, 61] from Operation: 26+35=61 Current State: 21:[82, 61], Operations: ['41*2=82', '26+35=61'] Exploring Operation: 82-61=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 57, 71, 30, 57 ]
73
[ "71-57=14", "30+57=87", "87-14=73" ]
Current State: 73:[57, 71, 30, 57], Operations: [] Exploring Operation: 71-57=14, Resulting Numbers: [30, 14] Generated Node #2: [30, 14] from Operation: 71-57=14 Current State: 73:[30, 14], Operations: ['71-57=14'] Exploring Operation: 30+57=87, Resulting Numbers: [14, 87] Generated Node #3: [14, 87] from Operation: 30+57=87 Current State: 73:[14, 87], Operations: ['71-57=14', '30+57=87'] Exploring Operation: 87-14=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 3, 40, 55, 38 ]
55
[ "40-3=37", "38-37=1", "55*1=55" ]
Current State: 55:[3, 40, 55, 38], Operations: [] Exploring Operation: 40-3=37, Resulting Numbers: [55, 38, 37] Generated Node #2: [55, 38, 37] from Operation: 40-3=37 Current State: 55:[55, 38, 37], Operations: ['40-3=37'] Exploring Operation: 38-37=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 38-37=1 Current State: 55:[55, 1], Operations: ['40-3=37', '38-37=1'] Exploring Operation: 55*1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 95, 54, 53, 93 ]
80
[ "95-93=2", "54/2=27", "53+27=80" ]
Current State: 80:[95, 54, 53, 93], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [54, 53, 2] Generated Node #2: [54, 53, 2] from Operation: 95-93=2 Current State: 80:[54, 53, 2], Operations: ['95-93=2'] Exploring Operation: 54/2=27, Resulting Numbers: [53, 27] Generated Node #3: [53, 27] from Operation: 54/2=27 Current State: 80:[53, 27], Operations: ['95-93=2', '54/2=27'] Exploring Operation: 53+27=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 45, 63, 27, 49 ]
51
[ "63+27=90", "90/45=2", "49+2=51" ]
Current State: 51:[45, 63, 27, 49], Operations: [] Exploring Operation: 63+27=90, Resulting Numbers: [45, 49, 90] Generated Node #2: [45, 49, 90] from Operation: 63+27=90 Current State: 51:[45, 49, 90], Operations: ['63+27=90'] Exploring Operation: 90/45=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 90/45=2 Current State: 51:[49, 2], Operations: ['63+27=90', '90/45=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 67, 81, 45, 7 ]
53
[ "81-67=14", "7*14=98", "98-45=53" ]
Current State: 53:[67, 81, 45, 7], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [45, 7, 14] Generated Node #2: [45, 7, 14] from Operation: 81-67=14 Current State: 53:[45, 7, 14], Operations: ['81-67=14'] Exploring Operation: 7*14=98, Resulting Numbers: [45, 98] Generated Node #3: [45, 98] from Operation: 7*14=98 Current State: 53:[45, 98], Operations: ['81-67=14', '7*14=98'] Exploring Operation: 98-45=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 82, 52, 47, 78 ]
76
[ "82*78=6396", "6396/52=123", "123-47=76" ]
Current State: 76:[82, 52, 47, 78], Operations: [] Exploring Operation: 82*78=6396, Resulting Numbers: [52, 47, 6396] Generated Node #2: [52, 47, 6396] from Operation: 82*78=6396 Current State: 76:[52, 47, 6396], Operations: ['82*78=6396'] Exploring Operation: 6396/52=123, Resulting Numbers: [47, 123] Generated Node #3: [47, 123] from Operation: 6396/52=123 Current State: 76:[47, 123], Operations: ['82*78=6396', '6396/52=123'] Exploring Operation: 123-47=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 32, 98, 5, 29 ]
42
[ "98-32=66", "29-5=24", "66-24=42" ]
Current State: 42:[32, 98, 5, 29], Operations: [] Exploring Operation: 98-32=66, Resulting Numbers: [5, 29, 66] Generated Node #2: [5, 29, 66] from Operation: 98-32=66 Current State: 42:[5, 29, 66], Operations: ['98-32=66'] Exploring Operation: 29-5=24, Resulting Numbers: [66, 24] Generated Node #3: [66, 24] from Operation: 29-5=24 Current State: 42:[66, 24], Operations: ['98-32=66', '29-5=24'] Exploring Operation: 66-24=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 60, 53, 18, 71 ]
59
[ "53+18=71", "71/71=1", "60-1=59" ]
Current State: 59:[60, 53, 18, 71], Operations: [] Exploring Operation: 53+18=71, Resulting Numbers: [60, 71, 71] Generated Node #2: [60, 71, 71] from Operation: 53+18=71 Current State: 59:[60, 71, 71], Operations: ['53+18=71'] Exploring Operation: 71/71=1, Resulting Numbers: [60, 1] Generated Node #3: [60, 1] from Operation: 71/71=1 Current State: 59:[60, 1], Operations: ['53+18=71', '71/71=1'] Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 96, 25, 87 ]
30
[ "87-7=80", "96*25=2400", "2400/80=30" ]
Current State: 30:[7, 96, 25, 87], Operations: [] Exploring Operation: 87-7=80, Resulting Numbers: [96, 25, 80] Generated Node #2: [96, 25, 80] from Operation: 87-7=80 Current State: 30:[96, 25, 80], Operations: ['87-7=80'] Exploring Operation: 96*25=2400, Resulting Numbers: [80, 2400] Generated Node #3: [80, 2400] from Operation: 96*25=2400 Current State: 30:[80, 2400], Operations: ['87-7=80', '96*25=2400'] Exploring Operation: 2400/80=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 87, 2, 82, 17 ]
77
[ "87-2=85", "85/17=5", "82-5=77" ]
Current State: 77:[87, 2, 82, 17], Operations: [] Exploring Operation: 87-2=85, Resulting Numbers: [82, 17, 85] Generated Node #2: [82, 17, 85] from Operation: 87-2=85 Current State: 77:[82, 17, 85], Operations: ['87-2=85'] Exploring Operation: 85/17=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 85/17=5 Current State: 77:[82, 5], Operations: ['87-2=85', '85/17=5'] Exploring Operation: 82-5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 87, 64, 78, 61 ]
40
[ "87-64=23", "78-61=17", "23+17=40" ]
Current State: 40:[87, 64, 78, 61], Operations: [] Exploring Operation: 87-64=23, Resulting Numbers: [78, 61, 23] Generated Node #2: [78, 61, 23] from Operation: 87-64=23 Current State: 40:[78, 61, 23], Operations: ['87-64=23'] Exploring Operation: 78-61=17, Resulting Numbers: [23, 17] Generated Node #3: [23, 17] from Operation: 78-61=17 Current State: 40:[23, 17], Operations: ['87-64=23', '78-61=17'] Exploring Operation: 23+17=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 12, 8, 99, 46 ]
26
[ "12*99=1188", "8+1188=1196", "1196/46=26" ]
Current State: 26:[12, 8, 99, 46], Operations: [] Exploring Operation: 12*99=1188, Resulting Numbers: [8, 46, 1188] Generated Node #2: [8, 46, 1188] from Operation: 12*99=1188 Current State: 26:[8, 46, 1188], Operations: ['12*99=1188'] Exploring Operation: 8+1188=1196, Resulting Numbers: [46, 1196] Generated Node #3: [46, 1196] from Operation: 8+1188=1196 Current State: 26:[46, 1196], Operations: ['12*99=1188', '8+1188=1196'] Exploring Operation: 1196/46=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 6, 42, 12, 36 ]
51
[ "6+42=48", "36/12=3", "48+3=51" ]
Current State: 51:[6, 42, 12, 36], Operations: [] Exploring Operation: 6+42=48, Resulting Numbers: [12, 36, 48] Generated Node #2: [12, 36, 48] from Operation: 6+42=48 Current State: 51:[12, 36, 48], Operations: ['6+42=48'] Exploring Operation: 36/12=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 36/12=3 Current State: 51:[48, 3], Operations: ['6+42=48', '36/12=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 53, 51, 46, 7 ]
85
[ "53-51=2", "46*2=92", "92-7=85" ]
Current State: 85:[53, 51, 46, 7], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [46, 7, 2] Generated Node #2: [46, 7, 2] from Operation: 53-51=2 Current State: 85:[46, 7, 2], Operations: ['53-51=2'] Exploring Operation: 46*2=92, Resulting Numbers: [7, 92] Generated Node #3: [7, 92] from Operation: 46*2=92 Current State: 85:[7, 92], Operations: ['53-51=2', '46*2=92'] Exploring Operation: 92-7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 92, 35, 17, 61 ]
21
[ "92-35=57", "17+61=78", "78-57=21" ]
Current State: 21:[92, 35, 17, 61], Operations: [] Exploring Operation: 92-35=57, Resulting Numbers: [17, 61, 57] Generated Node #2: [17, 61, 57] from Operation: 92-35=57 Current State: 21:[17, 61, 57], Operations: ['92-35=57'] Exploring Operation: 17+61=78, Resulting Numbers: [57, 78] Generated Node #3: [57, 78] from Operation: 17+61=78 Current State: 21:[57, 78], Operations: ['92-35=57', '17+61=78'] Exploring Operation: 78-57=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 88, 26, 82, 53 ]
85
[ "88+26=114", "82-53=29", "114-29=85" ]
Current State: 85:[88, 26, 82, 53], Operations: [] Exploring Operation: 88+26=114, Resulting Numbers: [82, 53, 114] Generated Node #2: [82, 53, 114] from Operation: 88+26=114 Current State: 85:[82, 53, 114], Operations: ['88+26=114'] Exploring Operation: 82-53=29, Resulting Numbers: [114, 29] Generated Node #3: [114, 29] from Operation: 82-53=29 Current State: 85:[114, 29], Operations: ['88+26=114', '82-53=29'] Exploring Operation: 114-29=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 52, 53, 53, 70 ]
70
[ "53-53=0", "52*0=0", "70+0=70" ]
Current State: 70:[52, 53, 53, 70], Operations: [] Exploring Operation: 53-53=0, Resulting Numbers: [52, 70, 0] Generated Node #2: [52, 70, 0] from Operation: 53-53=0 Current State: 70:[52, 70, 0], Operations: ['53-53=0'] Exploring Operation: 52*0=0, Resulting Numbers: [70, 0] Generated Node #3: [70, 0] from Operation: 52*0=0 Current State: 70:[70, 0], Operations: ['53-53=0', '52*0=0'] Exploring Operation: 70+0=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 45, 88, 6, 86 ]
16
[ "88+86=174", "174/6=29", "45-29=16" ]
Current State: 16:[45, 88, 6, 86], Operations: [] Exploring Operation: 88+86=174, Resulting Numbers: [45, 6, 174] Generated Node #2: [45, 6, 174] from Operation: 88+86=174 Current State: 16:[45, 6, 174], Operations: ['88+86=174'] Exploring Operation: 174/6=29, Resulting Numbers: [45, 29] Generated Node #3: [45, 29] from Operation: 174/6=29 Current State: 16:[45, 29], Operations: ['88+86=174', '174/6=29'] Exploring Operation: 45-29=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 25, 83, 56, 27 ]
24
[ "83-56=27", "27/27=1", "25-1=24" ]
Current State: 24:[25, 83, 56, 27], Operations: [] Exploring Operation: 83-56=27, Resulting Numbers: [25, 27, 27] Generated Node #2: [25, 27, 27] from Operation: 83-56=27 Current State: 24:[25, 27, 27], Operations: ['83-56=27'] Exploring Operation: 27/27=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 27/27=1 Current State: 24:[25, 1], Operations: ['83-56=27', '27/27=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 93, 22, 65, 81 ]
55
[ "93-22=71", "81-65=16", "71-16=55" ]
Current State: 55:[93, 22, 65, 81], Operations: [] Exploring Operation: 93-22=71, Resulting Numbers: [65, 81, 71] Generated Node #2: [65, 81, 71] from Operation: 93-22=71 Current State: 55:[65, 81, 71], Operations: ['93-22=71'] Exploring Operation: 81-65=16, Resulting Numbers: [71, 16] Generated Node #3: [71, 16] from Operation: 81-65=16 Current State: 55:[71, 16], Operations: ['93-22=71', '81-65=16'] Exploring Operation: 71-16=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 44, 5, 59, 79 ]
89
[ "44+5=49", "59+79=138", "138-49=89" ]
Current State: 89:[44, 5, 59, 79], Operations: [] Exploring Operation: 44+5=49, Resulting Numbers: [59, 79, 49] Generated Node #2: [59, 79, 49] from Operation: 44+5=49 Current State: 89:[59, 79, 49], Operations: ['44+5=49'] Exploring Operation: 59+79=138, Resulting Numbers: [49, 138] Generated Node #3: [49, 138] from Operation: 59+79=138 Current State: 89:[49, 138], Operations: ['44+5=49', '59+79=138'] Exploring Operation: 138-49=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 1, 46, 71, 52 ]
28
[ "1+46=47", "71-52=19", "47-19=28" ]
Current State: 28:[1, 46, 71, 52], Operations: [] Exploring Operation: 1+46=47, Resulting Numbers: [71, 52, 47] Generated Node #2: [71, 52, 47] from Operation: 1+46=47 Current State: 28:[71, 52, 47], Operations: ['1+46=47'] Exploring Operation: 71-52=19, Resulting Numbers: [47, 19] Generated Node #3: [47, 19] from Operation: 71-52=19 Current State: 28:[47, 19], Operations: ['1+46=47', '71-52=19'] Exploring Operation: 47-19=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 61, 86, 4, 45 ]
74
[ "86-61=25", "4+45=49", "25+49=74" ]
Current State: 74:[61, 86, 4, 45], Operations: [] Exploring Operation: 86-61=25, Resulting Numbers: [4, 45, 25] Generated Node #2: [4, 45, 25] from Operation: 86-61=25 Current State: 74:[4, 45, 25], Operations: ['86-61=25'] Exploring Operation: 4+45=49, Resulting Numbers: [25, 49] Generated Node #3: [25, 49] from Operation: 4+45=49 Current State: 74:[25, 49], Operations: ['86-61=25', '4+45=49'] Exploring Operation: 25+49=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 47, 72, 57, 22 ]
40
[ "47+72=119", "57+22=79", "119-79=40" ]
Current State: 40:[47, 72, 57, 22], Operations: [] Exploring Operation: 47+72=119, Resulting Numbers: [57, 22, 119] Generated Node #2: [57, 22, 119] from Operation: 47+72=119 Current State: 40:[57, 22, 119], Operations: ['47+72=119'] Exploring Operation: 57+22=79, Resulting Numbers: [119, 79] Generated Node #3: [119, 79] from Operation: 57+22=79 Current State: 40:[119, 79], Operations: ['47+72=119', '57+22=79'] Exploring Operation: 119-79=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 45, 40, 37, 39 ]
58
[ "40-37=3", "39/3=13", "45+13=58" ]
Current State: 58:[45, 40, 37, 39], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [45, 39, 3] Generated Node #2: [45, 39, 3] from Operation: 40-37=3 Current State: 58:[45, 39, 3], Operations: ['40-37=3'] Exploring Operation: 39/3=13, Resulting Numbers: [45, 13] Generated Node #3: [45, 13] from Operation: 39/3=13 Current State: 58:[45, 13], Operations: ['40-37=3', '39/3=13'] Exploring Operation: 45+13=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 65, 72, 97, 89 ]
94
[ "89-65=24", "72/24=3", "97-3=94" ]
Current State: 94:[65, 72, 97, 89], Operations: [] Exploring Operation: 89-65=24, Resulting Numbers: [72, 97, 24] Generated Node #2: [72, 97, 24] from Operation: 89-65=24 Current State: 94:[72, 97, 24], Operations: ['89-65=24'] Exploring Operation: 72/24=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 72/24=3 Current State: 94:[97, 3], Operations: ['89-65=24', '72/24=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 66, 55, 68, 20 ]
15
[ "68-66=2", "20*2=40", "55-40=15" ]
Current State: 15:[66, 55, 68, 20], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [55, 20, 2] Generated Node #2: [55, 20, 2] from Operation: 68-66=2 Current State: 15:[55, 20, 2], Operations: ['68-66=2'] Exploring Operation: 20*2=40, Resulting Numbers: [55, 40] Generated Node #3: [55, 40] from Operation: 20*2=40 Current State: 15:[55, 40], Operations: ['68-66=2', '20*2=40'] Exploring Operation: 55-40=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 12, 2, 23, 78 ]
28
[ "23-12=11", "78/2=39", "39-11=28" ]
Current State: 28:[12, 2, 23, 78], Operations: [] Exploring Operation: 23-12=11, Resulting Numbers: [2, 78, 11] Generated Node #2: [2, 78, 11] from Operation: 23-12=11 Current State: 28:[2, 78, 11], Operations: ['23-12=11'] Exploring Operation: 78/2=39, Resulting Numbers: [11, 39] Generated Node #3: [11, 39] from Operation: 78/2=39 Current State: 28:[11, 39], Operations: ['23-12=11', '78/2=39'] Exploring Operation: 39-11=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 75, 54, 15, 27 ]
76
[ "75/15=5", "54+27=81", "81-5=76" ]
Current State: 76:[75, 54, 15, 27], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [54, 27, 5] Generated Node #2: [54, 27, 5] from Operation: 75/15=5 Current State: 76:[54, 27, 5], Operations: ['75/15=5'] Exploring Operation: 54+27=81, Resulting Numbers: [5, 81] Generated Node #3: [5, 81] from Operation: 54+27=81 Current State: 76:[5, 81], Operations: ['75/15=5', '54+27=81'] Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 20, 16, 39 ]
12
[ "20+16=36", "39-36=3", "4*3=12" ]
Current State: 12:[4, 20, 16, 39], Operations: [] Exploring Operation: 20+16=36, Resulting Numbers: [4, 39, 36] Generated Node #2: [4, 39, 36] from Operation: 20+16=36 Current State: 12:[4, 39, 36], Operations: ['20+16=36'] Exploring Operation: 39-36=3, Resulting Numbers: [4, 3] Generated Node #3: [4, 3] from Operation: 39-36=3 Current State: 12:[4, 3], Operations: ['20+16=36', '39-36=3'] Exploring Operation: 4*3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 83, 69, 8, 3 ]
100
[ "69-8=61", "3*61=183", "183-83=100" ]
Current State: 100:[83, 69, 8, 3], Operations: [] Exploring Operation: 69-8=61, Resulting Numbers: [83, 3, 61] Generated Node #2: [83, 3, 61] from Operation: 69-8=61 Current State: 100:[83, 3, 61], Operations: ['69-8=61'] Exploring Operation: 3*61=183, Resulting Numbers: [83, 183] Generated Node #3: [83, 183] from Operation: 3*61=183 Current State: 100:[83, 183], Operations: ['69-8=61', '3*61=183'] Exploring Operation: 183-83=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 89, 19, 21, 28 ]
33
[ "21-19=2", "28*2=56", "89-56=33" ]
Current State: 33:[89, 19, 21, 28], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [89, 28, 2] Generated Node #2: [89, 28, 2] from Operation: 21-19=2 Current State: 33:[89, 28, 2], Operations: ['21-19=2'] Exploring Operation: 28*2=56, Resulting Numbers: [89, 56] Generated Node #3: [89, 56] from Operation: 28*2=56 Current State: 33:[89, 56], Operations: ['21-19=2', '28*2=56'] Exploring Operation: 89-56=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4