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
[ 15, 2, 25, 37 ]
72
[ "37-15=22", "2*25=50", "22+50=72" ]
Current State: 72:[15, 2, 25, 37], Operations: [] Exploring Operation: 37-15=22, Resulting Numbers: [2, 25, 22] Generated Node #2: [2, 25, 22] from Operation: 37-15=22 Current State: 72:[2, 25, 22], Operations: ['37-15=22'] Exploring Operation: 2*25=50, Resulting Numbers: [22, 50] Generated Node #3: [22, 50] from Operation: 2*25=50 Current State: 72:[22, 50], Operations: ['37-15=22', '2*25=50'] Exploring Operation: 22+50=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 59, 25, 76, 18 ]
10
[ "59+25=84", "76+18=94", "94-84=10" ]
Current State: 10:[59, 25, 76, 18], Operations: [] Exploring Operation: 59+25=84, Resulting Numbers: [76, 18, 84] Generated Node #2: [76, 18, 84] from Operation: 59+25=84 Current State: 10:[76, 18, 84], Operations: ['59+25=84'] Exploring Operation: 76+18=94, Resulting Numbers: [84, 94] Generated Node #3: [84, 94] from Operation: 76+18=94 Current State: 10:[84, 94], Operations: ['59+25=84', '76+18=94'] Exploring Operation: 94-84=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 10, 48, 13, 98 ]
73
[ "48-10=38", "13+98=111", "111-38=73" ]
Current State: 73:[10, 48, 13, 98], Operations: [] Exploring Operation: 48-10=38, Resulting Numbers: [13, 98, 38] Generated Node #2: [13, 98, 38] from Operation: 48-10=38 Current State: 73:[13, 98, 38], Operations: ['48-10=38'] Exploring Operation: 13+98=111, Resulting Numbers: [38, 111] Generated Node #3: [38, 111] from Operation: 13+98=111 Current State: 73:[38, 111], Operations: ['48-10=38', '13+98=111'] Exploring Operation: 111-38=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 31, 53, 16, 33 ]
27
[ "53-31=22", "16+33=49", "49-22=27" ]
Current State: 27:[31, 53, 16, 33], Operations: [] Exploring Operation: 53-31=22, Resulting Numbers: [16, 33, 22] Generated Node #2: [16, 33, 22] from Operation: 53-31=22 Current State: 27:[16, 33, 22], Operations: ['53-31=22'] Exploring Operation: 16+33=49, Resulting Numbers: [22, 49] Generated Node #3: [22, 49] from Operation: 16+33=49 Current State: 27:[22, 49], Operations: ['53-31=22', '16+33=49'] Exploring Operation: 49-22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 95, 70, 45, 74 ]
72
[ "95+45=140", "140/70=2", "74-2=72" ]
Current State: 72:[95, 70, 45, 74], Operations: [] Exploring Operation: 95+45=140, Resulting Numbers: [70, 74, 140] Generated Node #2: [70, 74, 140] from Operation: 95+45=140 Current State: 72:[70, 74, 140], Operations: ['95+45=140'] Exploring Operation: 140/70=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 140/70=2 Current State: 72:[74, 2], Operations: ['95+45=140', '140/70=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 23, 6, 10, 25 ]
14
[ "23+6=29", "25-10=15", "29-15=14" ]
Current State: 14:[23, 6, 10, 25], Operations: [] Exploring Operation: 23+6=29, Resulting Numbers: [10, 25, 29] Generated Node #2: [10, 25, 29] from Operation: 23+6=29 Current State: 14:[10, 25, 29], Operations: ['23+6=29'] Exploring Operation: 25-10=15, Resulting Numbers: [29, 15] Generated Node #3: [29, 15] from Operation: 25-10=15 Current State: 14:[29, 15], Operations: ['23+6=29', '25-10=15'] Exploring Operation: 29-15=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 78, 69, 34, 2 ]
27
[ "78-69=9", "34+2=36", "36-9=27" ]
Current State: 27:[78, 69, 34, 2], Operations: [] Exploring Operation: 78-69=9, Resulting Numbers: [34, 2, 9] Generated Node #2: [34, 2, 9] from Operation: 78-69=9 Current State: 27:[34, 2, 9], Operations: ['78-69=9'] Exploring Operation: 34+2=36, Resulting Numbers: [9, 36] Generated Node #3: [9, 36] from Operation: 34+2=36 Current State: 27:[9, 36], Operations: ['78-69=9', '34+2=36'] Exploring Operation: 36-9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 32, 98, 21, 41 ]
46
[ "98-32=66", "41-21=20", "66-20=46" ]
Current State: 46:[32, 98, 21, 41], Operations: [] Exploring Operation: 98-32=66, Resulting Numbers: [21, 41, 66] Generated Node #2: [21, 41, 66] from Operation: 98-32=66 Current State: 46:[21, 41, 66], Operations: ['98-32=66'] Exploring Operation: 41-21=20, Resulting Numbers: [66, 20] Generated Node #3: [66, 20] from Operation: 41-21=20 Current State: 46:[66, 20], Operations: ['98-32=66', '41-21=20'] Exploring Operation: 66-20=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 3, 33, 13, 38 ]
50
[ "13-3=10", "38-33=5", "10*5=50" ]
Current State: 50:[3, 33, 13, 38], Operations: [] Exploring Operation: 13-3=10, Resulting Numbers: [33, 38, 10] Generated Node #2: [33, 38, 10] from Operation: 13-3=10 Current State: 50:[33, 38, 10], Operations: ['13-3=10'] Exploring Operation: 38-33=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 38-33=5 Current State: 50:[10, 5], Operations: ['13-3=10', '38-33=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 22, 4, 50, 48 ]
11
[ "50-4=46", "48-46=2", "22/2=11" ]
Current State: 11:[22, 4, 50, 48], Operations: [] Exploring Operation: 50-4=46, Resulting Numbers: [22, 48, 46] Generated Node #2: [22, 48, 46] from Operation: 50-4=46 Current State: 11:[22, 48, 46], Operations: ['50-4=46'] Exploring Operation: 48-46=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 48-46=2 Current State: 11:[22, 2], Operations: ['50-4=46', '48-46=2'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 19, 38, 11 ]
44
[ "19-2=17", "38-11=27", "17+27=44" ]
Current State: 44:[2, 19, 38, 11], Operations: [] Exploring Operation: 19-2=17, Resulting Numbers: [38, 11, 17] Generated Node #2: [38, 11, 17] from Operation: 19-2=17 Current State: 44:[38, 11, 17], Operations: ['19-2=17'] Exploring Operation: 38-11=27, Resulting Numbers: [17, 27] Generated Node #3: [17, 27] from Operation: 38-11=27 Current State: 44:[17, 27], Operations: ['19-2=17', '38-11=27'] Exploring Operation: 17+27=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 87, 21, 95, 69 ]
56
[ "87+21=108", "95+69=164", "164-108=56" ]
Current State: 56:[87, 21, 95, 69], Operations: [] Exploring Operation: 87+21=108, Resulting Numbers: [95, 69, 108] Generated Node #2: [95, 69, 108] from Operation: 87+21=108 Current State: 56:[95, 69, 108], Operations: ['87+21=108'] Exploring Operation: 95+69=164, Resulting Numbers: [108, 164] Generated Node #3: [108, 164] from Operation: 95+69=164 Current State: 56:[108, 164], Operations: ['87+21=108', '95+69=164'] Exploring Operation: 164-108=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 69, 95, 29, 23 ]
78
[ "95-69=26", "29+23=52", "26+52=78" ]
Current State: 78:[69, 95, 29, 23], Operations: [] Exploring Operation: 95-69=26, Resulting Numbers: [29, 23, 26] Generated Node #2: [29, 23, 26] from Operation: 95-69=26 Current State: 78:[29, 23, 26], Operations: ['95-69=26'] Exploring Operation: 29+23=52, Resulting Numbers: [26, 52] Generated Node #3: [26, 52] from Operation: 29+23=52 Current State: 78:[26, 52], Operations: ['95-69=26', '29+23=52'] Exploring Operation: 26+52=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 34, 46, 28, 96 ]
16
[ "34*46=1564", "1564-28=1536", "1536/96=16" ]
Current State: 16:[34, 46, 28, 96], Operations: [] Exploring Operation: 34*46=1564, Resulting Numbers: [28, 96, 1564] Generated Node #2: [28, 96, 1564] from Operation: 34*46=1564 Current State: 16:[28, 96, 1564], Operations: ['34*46=1564'] Exploring Operation: 1564-28=1536, Resulting Numbers: [96, 1536] Generated Node #3: [96, 1536] from Operation: 1564-28=1536 Current State: 16:[96, 1536], Operations: ['34*46=1564', '1564-28=1536'] Exploring Operation: 1536/96=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 87, 44, 45, 64 ]
61
[ "87+45=132", "132/44=3", "64-3=61" ]
Current State: 61:[87, 44, 45, 64], Operations: [] Exploring Operation: 87+45=132, Resulting Numbers: [44, 64, 132] Generated Node #2: [44, 64, 132] from Operation: 87+45=132 Current State: 61:[44, 64, 132], Operations: ['87+45=132'] Exploring Operation: 132/44=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 132/44=3 Current State: 61:[64, 3], Operations: ['87+45=132', '132/44=3'] Exploring Operation: 64-3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 84, 14, 56, 67 ]
17
[ "84/14=6", "67-56=11", "6+11=17" ]
Current State: 17:[84, 14, 56, 67], Operations: [] Exploring Operation: 84/14=6, Resulting Numbers: [56, 67, 6] Generated Node #2: [56, 67, 6] from Operation: 84/14=6 Current State: 17:[56, 67, 6], Operations: ['84/14=6'] Exploring Operation: 67-56=11, Resulting Numbers: [6, 11] Generated Node #3: [6, 11] from Operation: 67-56=11 Current State: 17:[6, 11], Operations: ['84/14=6', '67-56=11'] Exploring Operation: 6+11=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 50, 5, 27, 3 ]
25
[ "50+5=55", "27+3=30", "55-30=25" ]
Current State: 25:[50, 5, 27, 3], Operations: [] Exploring Operation: 50+5=55, Resulting Numbers: [27, 3, 55] Generated Node #2: [27, 3, 55] from Operation: 50+5=55 Current State: 25:[27, 3, 55], Operations: ['50+5=55'] Exploring Operation: 27+3=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 27+3=30 Current State: 25:[55, 30], Operations: ['50+5=55', '27+3=30'] Exploring Operation: 55-30=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 46, 43, 6, 13 ]
81
[ "46-43=3", "6*13=78", "3+78=81" ]
Current State: 81:[46, 43, 6, 13], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [6, 13, 3] Generated Node #2: [6, 13, 3] from Operation: 46-43=3 Current State: 81:[6, 13, 3], Operations: ['46-43=3'] Exploring Operation: 6*13=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 6*13=78 Current State: 81:[3, 78], Operations: ['46-43=3', '6*13=78'] Exploring Operation: 3+78=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 27, 3, 7, 42 ]
63
[ "27*7=189", "3*42=126", "189-126=63" ]
Current State: 63:[27, 3, 7, 42], Operations: [] Exploring Operation: 27*7=189, Resulting Numbers: [3, 42, 189] Generated Node #2: [3, 42, 189] from Operation: 27*7=189 Current State: 63:[3, 42, 189], Operations: ['27*7=189'] Exploring Operation: 3*42=126, Resulting Numbers: [189, 126] Generated Node #3: [189, 126] from Operation: 3*42=126 Current State: 63:[189, 126], Operations: ['27*7=189', '3*42=126'] Exploring Operation: 189-126=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 58, 66, 2, 97 ]
85
[ "58*2=116", "97-66=31", "116-31=85" ]
Current State: 85:[58, 66, 2, 97], Operations: [] Exploring Operation: 58*2=116, Resulting Numbers: [66, 97, 116] Generated Node #2: [66, 97, 116] from Operation: 58*2=116 Current State: 85:[66, 97, 116], Operations: ['58*2=116'] Exploring Operation: 97-66=31, Resulting Numbers: [116, 31] Generated Node #3: [116, 31] from Operation: 97-66=31 Current State: 85:[116, 31], Operations: ['58*2=116', '97-66=31'] Exploring Operation: 116-31=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 98, 40, 22, 98 ]
17
[ "98/98=1", "40-22=18", "18-1=17" ]
Current State: 17:[98, 40, 22, 98], Operations: [] Exploring Operation: 98/98=1, Resulting Numbers: [40, 22, 1] Generated Node #2: [40, 22, 1] from Operation: 98/98=1 Current State: 17:[40, 22, 1], Operations: ['98/98=1'] Exploring Operation: 40-22=18, Resulting Numbers: [1, 18] Generated Node #3: [1, 18] from Operation: 40-22=18 Current State: 17:[1, 18], Operations: ['98/98=1', '40-22=18'] Exploring Operation: 18-1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 60, 15, 16, 22 ]
86
[ "60/15=4", "16*4=64", "22+64=86" ]
Current State: 86:[60, 15, 16, 22], Operations: [] Exploring Operation: 60/15=4, Resulting Numbers: [16, 22, 4] Generated Node #2: [16, 22, 4] from Operation: 60/15=4 Current State: 86:[16, 22, 4], Operations: ['60/15=4'] Exploring Operation: 16*4=64, Resulting Numbers: [22, 64] Generated Node #3: [22, 64] from Operation: 16*4=64 Current State: 86:[22, 64], Operations: ['60/15=4', '16*4=64'] Exploring Operation: 22+64=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 4, 37, 8, 44 ]
40
[ "44/4=11", "37-8=29", "11+29=40" ]
Current State: 40:[4, 37, 8, 44], Operations: [] Exploring Operation: 44/4=11, Resulting Numbers: [37, 8, 11] Generated Node #2: [37, 8, 11] from Operation: 44/4=11 Current State: 40:[37, 8, 11], Operations: ['44/4=11'] Exploring Operation: 37-8=29, Resulting Numbers: [11, 29] Generated Node #3: [11, 29] from Operation: 37-8=29 Current State: 40:[11, 29], Operations: ['44/4=11', '37-8=29'] Exploring Operation: 11+29=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 32, 13, 30, 58 ]
10
[ "32+58=90", "90/30=3", "13-3=10" ]
Current State: 10:[32, 13, 30, 58], Operations: [] Exploring Operation: 32+58=90, Resulting Numbers: [13, 30, 90] Generated Node #2: [13, 30, 90] from Operation: 32+58=90 Current State: 10:[13, 30, 90], Operations: ['32+58=90'] Exploring Operation: 90/30=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 90/30=3 Current State: 10:[13, 3], Operations: ['32+58=90', '90/30=3'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 6, 4, 18, 60 ]
59
[ "18/6=3", "60-4=56", "3+56=59" ]
Current State: 59:[6, 4, 18, 60], Operations: [] Exploring Operation: 18/6=3, Resulting Numbers: [4, 60, 3] Generated Node #2: [4, 60, 3] from Operation: 18/6=3 Current State: 59:[4, 60, 3], Operations: ['18/6=3'] Exploring Operation: 60-4=56, Resulting Numbers: [3, 56] Generated Node #3: [3, 56] from Operation: 60-4=56 Current State: 59:[3, 56], Operations: ['18/6=3', '60-4=56'] Exploring Operation: 3+56=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 31, 89, 54, 85 ]
89
[ "31+89=120", "85-54=31", "120-31=89" ]
Current State: 89:[31, 89, 54, 85], Operations: [] Exploring Operation: 31+89=120, Resulting Numbers: [54, 85, 120] Generated Node #2: [54, 85, 120] from Operation: 31+89=120 Current State: 89:[54, 85, 120], Operations: ['31+89=120'] Exploring Operation: 85-54=31, Resulting Numbers: [120, 31] Generated Node #3: [120, 31] from Operation: 85-54=31 Current State: 89:[120, 31], Operations: ['31+89=120', '85-54=31'] Exploring Operation: 120-31=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 71, 6, 18, 24 ]
72
[ "6+18=24", "24/24=1", "71+1=72" ]
Current State: 72:[71, 6, 18, 24], Operations: [] Exploring Operation: 6+18=24, Resulting Numbers: [71, 24, 24] Generated Node #2: [71, 24, 24] from Operation: 6+18=24 Current State: 72:[71, 24, 24], Operations: ['6+18=24'] Exploring Operation: 24/24=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 24/24=1 Current State: 72:[71, 1], Operations: ['6+18=24', '24/24=1'] Exploring Operation: 71+1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 81, 85, 34, 53 ]
70
[ "81-53=28", "85*28=2380", "2380/34=70" ]
Current State: 70:[81, 85, 34, 53], Operations: [] Exploring Operation: 81-53=28, Resulting Numbers: [85, 34, 28] Generated Node #2: [85, 34, 28] from Operation: 81-53=28 Current State: 70:[85, 34, 28], Operations: ['81-53=28'] Exploring Operation: 85*28=2380, Resulting Numbers: [34, 2380] Generated Node #3: [34, 2380] from Operation: 85*28=2380 Current State: 70:[34, 2380], Operations: ['81-53=28', '85*28=2380'] Exploring Operation: 2380/34=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 85, 59, 4, 11 ]
47
[ "85+59=144", "144/4=36", "11+36=47" ]
Current State: 47:[85, 59, 4, 11], Operations: [] Exploring Operation: 85+59=144, Resulting Numbers: [4, 11, 144] Generated Node #2: [4, 11, 144] from Operation: 85+59=144 Current State: 47:[4, 11, 144], Operations: ['85+59=144'] Exploring Operation: 144/4=36, Resulting Numbers: [11, 36] Generated Node #3: [11, 36] from Operation: 144/4=36 Current State: 47:[11, 36], Operations: ['85+59=144', '144/4=36'] Exploring Operation: 11+36=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 31, 84, 55, 73 ]
57
[ "73-31=42", "84/42=2", "55+2=57" ]
Current State: 57:[31, 84, 55, 73], Operations: [] Exploring Operation: 73-31=42, Resulting Numbers: [84, 55, 42] Generated Node #2: [84, 55, 42] from Operation: 73-31=42 Current State: 57:[84, 55, 42], Operations: ['73-31=42'] Exploring Operation: 84/42=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 84/42=2 Current State: 57:[55, 2], Operations: ['73-31=42', '84/42=2'] Exploring Operation: 55+2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 29, 70, 2, 87 ]
75
[ "29+70=99", "2*87=174", "174-99=75" ]
Current State: 75:[29, 70, 2, 87], Operations: [] Exploring Operation: 29+70=99, Resulting Numbers: [2, 87, 99] Generated Node #2: [2, 87, 99] from Operation: 29+70=99 Current State: 75:[2, 87, 99], Operations: ['29+70=99'] Exploring Operation: 2*87=174, Resulting Numbers: [99, 174] Generated Node #3: [99, 174] from Operation: 2*87=174 Current State: 75:[99, 174], Operations: ['29+70=99', '2*87=174'] Exploring Operation: 174-99=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 14, 2, 4, 59 ]
95
[ "14+4=18", "2*18=36", "59+36=95" ]
Current State: 95:[14, 2, 4, 59], Operations: [] Exploring Operation: 14+4=18, Resulting Numbers: [2, 59, 18] Generated Node #2: [2, 59, 18] from Operation: 14+4=18 Current State: 95:[2, 59, 18], Operations: ['14+4=18'] Exploring Operation: 2*18=36, Resulting Numbers: [59, 36] Generated Node #3: [59, 36] from Operation: 2*18=36 Current State: 95:[59, 36], Operations: ['14+4=18', '2*18=36'] Exploring Operation: 59+36=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 49, 41, 6, 30 ]
85
[ "49+41=90", "30/6=5", "90-5=85" ]
Current State: 85:[49, 41, 6, 30], Operations: [] Exploring Operation: 49+41=90, Resulting Numbers: [6, 30, 90] Generated Node #2: [6, 30, 90] from Operation: 49+41=90 Current State: 85:[6, 30, 90], Operations: ['49+41=90'] Exploring Operation: 30/6=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 30/6=5 Current State: 85:[90, 5], Operations: ['49+41=90', '30/6=5'] Exploring Operation: 90-5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 4, 54, 72, 56 ]
38
[ "4+72=76", "56-54=2", "76/2=38" ]
Current State: 38:[4, 54, 72, 56], Operations: [] Exploring Operation: 4+72=76, Resulting Numbers: [54, 56, 76] Generated Node #2: [54, 56, 76] from Operation: 4+72=76 Current State: 38:[54, 56, 76], Operations: ['4+72=76'] Exploring Operation: 56-54=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 56-54=2 Current State: 38:[76, 2], Operations: ['4+72=76', '56-54=2'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 19, 33, 77, 1 ]
42
[ "19-1=18", "77*18=1386", "1386/33=42" ]
Current State: 42:[19, 33, 77, 1], Operations: [] Exploring Operation: 19-1=18, Resulting Numbers: [33, 77, 18] Generated Node #2: [33, 77, 18] from Operation: 19-1=18 Current State: 42:[33, 77, 18], Operations: ['19-1=18'] Exploring Operation: 77*18=1386, Resulting Numbers: [33, 1386] Generated Node #3: [33, 1386] from Operation: 77*18=1386 Current State: 42:[33, 1386], Operations: ['19-1=18', '77*18=1386'] Exploring Operation: 1386/33=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 8, 58, 48, 21 ]
93
[ "8+58=66", "48-21=27", "66+27=93" ]
Current State: 93:[8, 58, 48, 21], Operations: [] Exploring Operation: 8+58=66, Resulting Numbers: [48, 21, 66] Generated Node #2: [48, 21, 66] from Operation: 8+58=66 Current State: 93:[48, 21, 66], Operations: ['8+58=66'] Exploring Operation: 48-21=27, Resulting Numbers: [66, 27] Generated Node #3: [66, 27] from Operation: 48-21=27 Current State: 93:[66, 27], Operations: ['8+58=66', '48-21=27'] Exploring Operation: 66+27=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 46, 49, 45 ]
28
[ "49-21=28", "46-45=1", "28*1=28" ]
Current State: 28:[21, 46, 49, 45], Operations: [] Exploring Operation: 49-21=28, Resulting Numbers: [46, 45, 28] Generated Node #2: [46, 45, 28] from Operation: 49-21=28 Current State: 28:[46, 45, 28], Operations: ['49-21=28'] Exploring Operation: 46-45=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 46-45=1 Current State: 28:[28, 1], Operations: ['49-21=28', '46-45=1'] Exploring Operation: 28*1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 46, 68, 78, 88 ]
32
[ "68-46=22", "88-78=10", "22+10=32" ]
Current State: 32:[46, 68, 78, 88], Operations: [] Exploring Operation: 68-46=22, Resulting Numbers: [78, 88, 22] Generated Node #2: [78, 88, 22] from Operation: 68-46=22 Current State: 32:[78, 88, 22], Operations: ['68-46=22'] Exploring Operation: 88-78=10, Resulting Numbers: [22, 10] Generated Node #3: [22, 10] from Operation: 88-78=10 Current State: 32:[22, 10], Operations: ['68-46=22', '88-78=10'] Exploring Operation: 22+10=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 4, 98, 50, 68 ]
34
[ "4*50=200", "98+68=166", "200-166=34" ]
Current State: 34:[4, 98, 50, 68], Operations: [] Exploring Operation: 4*50=200, Resulting Numbers: [98, 68, 200] Generated Node #2: [98, 68, 200] from Operation: 4*50=200 Current State: 34:[98, 68, 200], Operations: ['4*50=200'] Exploring Operation: 98+68=166, Resulting Numbers: [200, 166] Generated Node #3: [200, 166] from Operation: 98+68=166 Current State: 34:[200, 166], Operations: ['4*50=200', '98+68=166'] Exploring Operation: 200-166=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 83, 81, 46, 65 ]
88
[ "83-81=2", "46/2=23", "65+23=88" ]
Current State: 88:[83, 81, 46, 65], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [46, 65, 2] Generated Node #2: [46, 65, 2] from Operation: 83-81=2 Current State: 88:[46, 65, 2], Operations: ['83-81=2'] Exploring Operation: 46/2=23, Resulting Numbers: [65, 23] Generated Node #3: [65, 23] from Operation: 46/2=23 Current State: 88:[65, 23], Operations: ['83-81=2', '46/2=23'] Exploring Operation: 65+23=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 83, 41, 97, 12 ]
56
[ "83+97=180", "180/12=15", "41+15=56" ]
Current State: 56:[83, 41, 97, 12], Operations: [] Exploring Operation: 83+97=180, Resulting Numbers: [41, 12, 180] Generated Node #2: [41, 12, 180] from Operation: 83+97=180 Current State: 56:[41, 12, 180], Operations: ['83+97=180'] Exploring Operation: 180/12=15, Resulting Numbers: [41, 15] Generated Node #3: [41, 15] from Operation: 180/12=15 Current State: 56:[41, 15], Operations: ['83+97=180', '180/12=15'] Exploring Operation: 41+15=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 23, 69, 81, 95 ]
78
[ "23+69=92", "95-81=14", "92-14=78" ]
Current State: 78:[23, 69, 81, 95], Operations: [] Exploring Operation: 23+69=92, Resulting Numbers: [81, 95, 92] Generated Node #2: [81, 95, 92] from Operation: 23+69=92 Current State: 78:[81, 95, 92], Operations: ['23+69=92'] Exploring Operation: 95-81=14, Resulting Numbers: [92, 14] Generated Node #3: [92, 14] from Operation: 95-81=14 Current State: 78:[92, 14], Operations: ['23+69=92', '95-81=14'] Exploring Operation: 92-14=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 99, 74, 37, 85 ]
92
[ "99+85=184", "74/37=2", "184/2=92" ]
Current State: 92:[99, 74, 37, 85], Operations: [] Exploring Operation: 99+85=184, Resulting Numbers: [74, 37, 184] Generated Node #2: [74, 37, 184] from Operation: 99+85=184 Current State: 92:[74, 37, 184], Operations: ['99+85=184'] Exploring Operation: 74/37=2, Resulting Numbers: [184, 2] Generated Node #3: [184, 2] from Operation: 74/37=2 Current State: 92:[184, 2], Operations: ['99+85=184', '74/37=2'] Exploring Operation: 184/2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 19, 15, 89, 99 ]
40
[ "19-15=4", "99-89=10", "4*10=40" ]
Current State: 40:[19, 15, 89, 99], Operations: [] Exploring Operation: 19-15=4, Resulting Numbers: [89, 99, 4] Generated Node #2: [89, 99, 4] from Operation: 19-15=4 Current State: 40:[89, 99, 4], Operations: ['19-15=4'] Exploring Operation: 99-89=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 99-89=10 Current State: 40:[4, 10], Operations: ['19-15=4', '99-89=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 1, 38, 87 ]
30
[ "1+38=39", "3*39=117", "117-87=30" ]
Current State: 30:[3, 1, 38, 87], Operations: [] Exploring Operation: 1+38=39, Resulting Numbers: [3, 87, 39] Generated Node #2: [3, 87, 39] from Operation: 1+38=39 Current State: 30:[3, 87, 39], Operations: ['1+38=39'] Exploring Operation: 3*39=117, Resulting Numbers: [87, 117] Generated Node #3: [87, 117] from Operation: 3*39=117 Current State: 30:[87, 117], Operations: ['1+38=39', '3*39=117'] Exploring Operation: 117-87=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 53, 33, 27, 3 ]
87
[ "53-33=20", "3*20=60", "27+60=87" ]
Current State: 87:[53, 33, 27, 3], Operations: [] Exploring Operation: 53-33=20, Resulting Numbers: [27, 3, 20] Generated Node #2: [27, 3, 20] from Operation: 53-33=20 Current State: 87:[27, 3, 20], Operations: ['53-33=20'] Exploring Operation: 3*20=60, Resulting Numbers: [27, 60] Generated Node #3: [27, 60] from Operation: 3*20=60 Current State: 87:[27, 60], Operations: ['53-33=20', '3*20=60'] Exploring Operation: 27+60=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 99, 33, 17, 2 ]
32
[ "99-33=66", "17*2=34", "66-34=32" ]
Current State: 32:[99, 33, 17, 2], Operations: [] Exploring Operation: 99-33=66, Resulting Numbers: [17, 2, 66] Generated Node #2: [17, 2, 66] from Operation: 99-33=66 Current State: 32:[17, 2, 66], Operations: ['99-33=66'] Exploring Operation: 17*2=34, Resulting Numbers: [66, 34] Generated Node #3: [66, 34] from Operation: 17*2=34 Current State: 32:[66, 34], Operations: ['99-33=66', '17*2=34'] Exploring Operation: 66-34=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 8, 61, 44, 59 ]
60
[ "61-59=2", "8*2=16", "44+16=60" ]
Current State: 60:[8, 61, 44, 59], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [8, 44, 2] Generated Node #2: [8, 44, 2] from Operation: 61-59=2 Current State: 60:[8, 44, 2], Operations: ['61-59=2'] Exploring Operation: 8*2=16, Resulting Numbers: [44, 16] Generated Node #3: [44, 16] from Operation: 8*2=16 Current State: 60:[44, 16], Operations: ['61-59=2', '8*2=16'] Exploring Operation: 44+16=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 60, 28, 37, 30 ]
23
[ "60/30=2", "28/2=14", "37-14=23" ]
Current State: 23:[60, 28, 37, 30], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [28, 37, 2] Generated Node #2: [28, 37, 2] from Operation: 60/30=2 Current State: 23:[28, 37, 2], Operations: ['60/30=2'] Exploring Operation: 28/2=14, Resulting Numbers: [37, 14] Generated Node #3: [37, 14] from Operation: 28/2=14 Current State: 23:[37, 14], Operations: ['60/30=2', '28/2=14'] Exploring Operation: 37-14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 96, 8, 85, 37 ]
16
[ "96*8=768", "85-37=48", "768/48=16" ]
Current State: 16:[96, 8, 85, 37], Operations: [] Exploring Operation: 96*8=768, Resulting Numbers: [85, 37, 768] Generated Node #2: [85, 37, 768] from Operation: 96*8=768 Current State: 16:[85, 37, 768], Operations: ['96*8=768'] Exploring Operation: 85-37=48, Resulting Numbers: [768, 48] Generated Node #3: [768, 48] from Operation: 85-37=48 Current State: 16:[768, 48], Operations: ['96*8=768', '85-37=48'] Exploring Operation: 768/48=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 46, 8, 29, 45 ]
91
[ "46-29=17", "8*17=136", "136-45=91" ]
Current State: 91:[46, 8, 29, 45], Operations: [] Exploring Operation: 46-29=17, Resulting Numbers: [8, 45, 17] Generated Node #2: [8, 45, 17] from Operation: 46-29=17 Current State: 91:[8, 45, 17], Operations: ['46-29=17'] Exploring Operation: 8*17=136, Resulting Numbers: [45, 136] Generated Node #3: [45, 136] from Operation: 8*17=136 Current State: 91:[45, 136], Operations: ['46-29=17', '8*17=136'] Exploring Operation: 136-45=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 81, 2, 44, 7 ]
51
[ "81-44=37", "2*7=14", "37+14=51" ]
Current State: 51:[81, 2, 44, 7], Operations: [] Exploring Operation: 81-44=37, Resulting Numbers: [2, 7, 37] Generated Node #2: [2, 7, 37] from Operation: 81-44=37 Current State: 51:[2, 7, 37], Operations: ['81-44=37'] Exploring Operation: 2*7=14, Resulting Numbers: [37, 14] Generated Node #3: [37, 14] from Operation: 2*7=14 Current State: 51:[37, 14], Operations: ['81-44=37', '2*7=14'] Exploring Operation: 37+14=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 42, 69, 20, 19 ]
26
[ "69-42=27", "20-19=1", "27-1=26" ]
Current State: 26:[42, 69, 20, 19], Operations: [] Exploring Operation: 69-42=27, Resulting Numbers: [20, 19, 27] Generated Node #2: [20, 19, 27] from Operation: 69-42=27 Current State: 26:[20, 19, 27], Operations: ['69-42=27'] Exploring Operation: 20-19=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 20-19=1 Current State: 26:[27, 1], Operations: ['69-42=27', '20-19=1'] Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 15, 90, 9, 33 ]
30
[ "90/15=6", "33-9=24", "6+24=30" ]
Current State: 30:[15, 90, 9, 33], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [9, 33, 6] Generated Node #2: [9, 33, 6] from Operation: 90/15=6 Current State: 30:[9, 33, 6], Operations: ['90/15=6'] Exploring Operation: 33-9=24, Resulting Numbers: [6, 24] Generated Node #3: [6, 24] from Operation: 33-9=24 Current State: 30:[6, 24], Operations: ['90/15=6', '33-9=24'] Exploring Operation: 6+24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 26, 69, 89, 77 ]
31
[ "69-26=43", "89-77=12", "43-12=31" ]
Current State: 31:[26, 69, 89, 77], Operations: [] Exploring Operation: 69-26=43, Resulting Numbers: [89, 77, 43] Generated Node #2: [89, 77, 43] from Operation: 69-26=43 Current State: 31:[89, 77, 43], Operations: ['69-26=43'] Exploring Operation: 89-77=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 89-77=12 Current State: 31:[43, 12], Operations: ['69-26=43', '89-77=12'] Exploring Operation: 43-12=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 27, 75, 65, 22 ]
59
[ "27+75=102", "65-22=43", "102-43=59" ]
Current State: 59:[27, 75, 65, 22], Operations: [] Exploring Operation: 27+75=102, Resulting Numbers: [65, 22, 102] Generated Node #2: [65, 22, 102] from Operation: 27+75=102 Current State: 59:[65, 22, 102], Operations: ['27+75=102'] Exploring Operation: 65-22=43, Resulting Numbers: [102, 43] Generated Node #3: [102, 43] from Operation: 65-22=43 Current State: 59:[102, 43], Operations: ['27+75=102', '65-22=43'] Exploring Operation: 102-43=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 82, 50, 96, 48 ]
89
[ "82+96=178", "50-48=2", "178/2=89" ]
Current State: 89:[82, 50, 96, 48], Operations: [] Exploring Operation: 82+96=178, Resulting Numbers: [50, 48, 178] Generated Node #2: [50, 48, 178] from Operation: 82+96=178 Current State: 89:[50, 48, 178], Operations: ['82+96=178'] Exploring Operation: 50-48=2, Resulting Numbers: [178, 2] Generated Node #3: [178, 2] from Operation: 50-48=2 Current State: 89:[178, 2], Operations: ['82+96=178', '50-48=2'] Exploring Operation: 178/2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 71, 2, 60, 54 ]
68
[ "60-54=6", "6/2=3", "71-3=68" ]
Current State: 68:[71, 2, 60, 54], Operations: [] Exploring Operation: 60-54=6, Resulting Numbers: [71, 2, 6] Generated Node #2: [71, 2, 6] from Operation: 60-54=6 Current State: 68:[71, 2, 6], Operations: ['60-54=6'] Exploring Operation: 6/2=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 6/2=3 Current State: 68:[71, 3], Operations: ['60-54=6', '6/2=3'] Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 37, 78, 34, 90 ]
83
[ "78-37=41", "34+90=124", "124-41=83" ]
Current State: 83:[37, 78, 34, 90], Operations: [] Exploring Operation: 78-37=41, Resulting Numbers: [34, 90, 41] Generated Node #2: [34, 90, 41] from Operation: 78-37=41 Current State: 83:[34, 90, 41], Operations: ['78-37=41'] Exploring Operation: 34+90=124, Resulting Numbers: [41, 124] Generated Node #3: [41, 124] from Operation: 34+90=124 Current State: 83:[41, 124], Operations: ['78-37=41', '34+90=124'] Exploring Operation: 124-41=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 4, 48, 16, 37 ]
41
[ "48/4=12", "16+37=53", "53-12=41" ]
Current State: 41:[4, 48, 16, 37], Operations: [] Exploring Operation: 48/4=12, Resulting Numbers: [16, 37, 12] Generated Node #2: [16, 37, 12] from Operation: 48/4=12 Current State: 41:[16, 37, 12], Operations: ['48/4=12'] Exploring Operation: 16+37=53, Resulting Numbers: [12, 53] Generated Node #3: [12, 53] from Operation: 16+37=53 Current State: 41:[12, 53], Operations: ['48/4=12', '16+37=53'] Exploring Operation: 53-12=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 88, 99, 52, 97 ]
72
[ "88-52=36", "99-97=2", "36*2=72" ]
Current State: 72:[88, 99, 52, 97], Operations: [] Exploring Operation: 88-52=36, Resulting Numbers: [99, 97, 36] Generated Node #2: [99, 97, 36] from Operation: 88-52=36 Current State: 72:[99, 97, 36], Operations: ['88-52=36'] Exploring Operation: 99-97=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 99-97=2 Current State: 72:[36, 2], Operations: ['88-52=36', '99-97=2'] Exploring Operation: 36*2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 11, 91, 82, 19 ]
36
[ "11*19=209", "91+82=173", "209-173=36" ]
Current State: 36:[11, 91, 82, 19], Operations: [] Exploring Operation: 11*19=209, Resulting Numbers: [91, 82, 209] Generated Node #2: [91, 82, 209] from Operation: 11*19=209 Current State: 36:[91, 82, 209], Operations: ['11*19=209'] Exploring Operation: 91+82=173, Resulting Numbers: [209, 173] Generated Node #3: [209, 173] from Operation: 91+82=173 Current State: 36:[209, 173], Operations: ['11*19=209', '91+82=173'] Exploring Operation: 209-173=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 76, 83, 76, 15 ]
99
[ "76/76=1", "83+15=98", "1+98=99" ]
Current State: 99:[76, 83, 76, 15], Operations: [] Exploring Operation: 76/76=1, Resulting Numbers: [83, 15, 1] Generated Node #2: [83, 15, 1] from Operation: 76/76=1 Current State: 99:[83, 15, 1], Operations: ['76/76=1'] Exploring Operation: 83+15=98, Resulting Numbers: [1, 98] Generated Node #3: [1, 98] from Operation: 83+15=98 Current State: 99:[1, 98], Operations: ['76/76=1', '83+15=98'] Exploring Operation: 1+98=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 23, 2, 39, 2 ]
15
[ "39-23=16", "2/2=1", "16-1=15" ]
Current State: 15:[23, 2, 39, 2], Operations: [] Exploring Operation: 39-23=16, Resulting Numbers: [2, 2, 16] Generated Node #2: [2, 2, 16] from Operation: 39-23=16 Current State: 15:[2, 2, 16], Operations: ['39-23=16'] Exploring Operation: 2/2=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 2/2=1 Current State: 15:[16, 1], Operations: ['39-23=16', '2/2=1'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 26, 7, 18, 19 ]
67
[ "26-19=7", "7*7=49", "18+49=67" ]
Current State: 67:[26, 7, 18, 19], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [7, 18, 7] Generated Node #2: [7, 18, 7] from Operation: 26-19=7 Current State: 67:[7, 18, 7], Operations: ['26-19=7'] Exploring Operation: 7*7=49, Resulting Numbers: [18, 49] Generated Node #3: [18, 49] from Operation: 7*7=49 Current State: 67:[18, 49], Operations: ['26-19=7', '7*7=49'] Exploring Operation: 18+49=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 80, 13, 85, 92 ]
21
[ "85-80=5", "13+92=105", "105/5=21" ]
Current State: 21:[80, 13, 85, 92], Operations: [] Exploring Operation: 85-80=5, Resulting Numbers: [13, 92, 5] Generated Node #2: [13, 92, 5] from Operation: 85-80=5 Current State: 21:[13, 92, 5], Operations: ['85-80=5'] Exploring Operation: 13+92=105, Resulting Numbers: [5, 105] Generated Node #3: [5, 105] from Operation: 13+92=105 Current State: 21:[5, 105], Operations: ['85-80=5', '13+92=105'] Exploring Operation: 105/5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 6, 36, 46, 52 ]
56
[ "6+36=42", "46+52=98", "98-42=56" ]
Current State: 56:[6, 36, 46, 52], Operations: [] Exploring Operation: 6+36=42, Resulting Numbers: [46, 52, 42] Generated Node #2: [46, 52, 42] from Operation: 6+36=42 Current State: 56:[46, 52, 42], Operations: ['6+36=42'] Exploring Operation: 46+52=98, Resulting Numbers: [42, 98] Generated Node #3: [42, 98] from Operation: 46+52=98 Current State: 56:[42, 98], Operations: ['6+36=42', '46+52=98'] Exploring Operation: 98-42=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 21, 75, 33, 71 ]
51
[ "75-71=4", "21*4=84", "84-33=51" ]
Current State: 51:[21, 75, 33, 71], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [21, 33, 4] Generated Node #2: [21, 33, 4] from Operation: 75-71=4 Current State: 51:[21, 33, 4], Operations: ['75-71=4'] Exploring Operation: 21*4=84, Resulting Numbers: [33, 84] Generated Node #3: [33, 84] from Operation: 21*4=84 Current State: 51:[33, 84], Operations: ['75-71=4', '21*4=84'] Exploring Operation: 84-33=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 41, 90, 5, 11 ]
65
[ "90-41=49", "5+11=16", "49+16=65" ]
Current State: 65:[41, 90, 5, 11], Operations: [] Exploring Operation: 90-41=49, Resulting Numbers: [5, 11, 49] Generated Node #2: [5, 11, 49] from Operation: 90-41=49 Current State: 65:[5, 11, 49], Operations: ['90-41=49'] Exploring Operation: 5+11=16, Resulting Numbers: [49, 16] Generated Node #3: [49, 16] from Operation: 5+11=16 Current State: 65:[49, 16], Operations: ['90-41=49', '5+11=16'] Exploring Operation: 49+16=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 76, 65, 36, 10 ]
15
[ "76-65=11", "36-10=26", "26-11=15" ]
Current State: 15:[76, 65, 36, 10], Operations: [] Exploring Operation: 76-65=11, Resulting Numbers: [36, 10, 11] Generated Node #2: [36, 10, 11] from Operation: 76-65=11 Current State: 15:[36, 10, 11], Operations: ['76-65=11'] Exploring Operation: 36-10=26, Resulting Numbers: [11, 26] Generated Node #3: [11, 26] from Operation: 36-10=26 Current State: 15:[11, 26], Operations: ['76-65=11', '36-10=26'] Exploring Operation: 26-11=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 39, 81, 76, 81 ]
36
[ "76-39=37", "81/81=1", "37-1=36" ]
Current State: 36:[39, 81, 76, 81], Operations: [] Exploring Operation: 76-39=37, Resulting Numbers: [81, 81, 37] Generated Node #2: [81, 81, 37] from Operation: 76-39=37 Current State: 36:[81, 81, 37], Operations: ['76-39=37'] Exploring Operation: 81/81=1, Resulting Numbers: [37, 1] Generated Node #3: [37, 1] from Operation: 81/81=1 Current State: 36:[37, 1], Operations: ['76-39=37', '81/81=1'] Exploring Operation: 37-1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 23, 52, 32, 96 ]
25
[ "23+52=75", "96/32=3", "75/3=25" ]
Current State: 25:[23, 52, 32, 96], Operations: [] Exploring Operation: 23+52=75, Resulting Numbers: [32, 96, 75] Generated Node #2: [32, 96, 75] from Operation: 23+52=75 Current State: 25:[32, 96, 75], Operations: ['23+52=75'] Exploring Operation: 96/32=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 96/32=3 Current State: 25:[75, 3], Operations: ['23+52=75', '96/32=3'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 7, 49, 4, 17 ]
98
[ "4+17=21", "7*21=147", "147-49=98" ]
Current State: 98:[7, 49, 4, 17], Operations: [] Exploring Operation: 4+17=21, Resulting Numbers: [7, 49, 21] Generated Node #2: [7, 49, 21] from Operation: 4+17=21 Current State: 98:[7, 49, 21], Operations: ['4+17=21'] Exploring Operation: 7*21=147, Resulting Numbers: [49, 147] Generated Node #3: [49, 147] from Operation: 7*21=147 Current State: 98:[49, 147], Operations: ['4+17=21', '7*21=147'] Exploring Operation: 147-49=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 44, 10, 1, 87 ]
32
[ "44+10=54", "87-1=86", "86-54=32" ]
Current State: 32:[44, 10, 1, 87], Operations: [] Exploring Operation: 44+10=54, Resulting Numbers: [1, 87, 54] Generated Node #2: [1, 87, 54] from Operation: 44+10=54 Current State: 32:[1, 87, 54], Operations: ['44+10=54'] Exploring Operation: 87-1=86, Resulting Numbers: [54, 86] Generated Node #3: [54, 86] from Operation: 87-1=86 Current State: 32:[54, 86], Operations: ['44+10=54', '87-1=86'] Exploring Operation: 86-54=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 18, 13, 5, 35 ]
20
[ "18+13=31", "35-31=4", "5*4=20" ]
Current State: 20:[18, 13, 5, 35], Operations: [] Exploring Operation: 18+13=31, Resulting Numbers: [5, 35, 31] Generated Node #2: [5, 35, 31] from Operation: 18+13=31 Current State: 20:[5, 35, 31], Operations: ['18+13=31'] Exploring Operation: 35-31=4, Resulting Numbers: [5, 4] Generated Node #3: [5, 4] from Operation: 35-31=4 Current State: 20:[5, 4], Operations: ['18+13=31', '35-31=4'] Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 32, 44, 4, 7 ]
11
[ "32-4=28", "44*7=308", "308/28=11" ]
Current State: 11:[32, 44, 4, 7], Operations: [] Exploring Operation: 32-4=28, Resulting Numbers: [44, 7, 28] Generated Node #2: [44, 7, 28] from Operation: 32-4=28 Current State: 11:[44, 7, 28], Operations: ['32-4=28'] Exploring Operation: 44*7=308, Resulting Numbers: [28, 308] Generated Node #3: [28, 308] from Operation: 44*7=308 Current State: 11:[28, 308], Operations: ['32-4=28', '44*7=308'] Exploring Operation: 308/28=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 13, 83, 83, 24 ]
37
[ "13+83=96", "83-24=59", "96-59=37" ]
Current State: 37:[13, 83, 83, 24], Operations: [] Exploring Operation: 13+83=96, Resulting Numbers: [24, 96] Generated Node #2: [24, 96] from Operation: 13+83=96 Current State: 37:[24, 96], Operations: ['13+83=96'] Exploring Operation: 83-24=59, Resulting Numbers: [96, 59] Generated Node #3: [96, 59] from Operation: 83-24=59 Current State: 37:[96, 59], Operations: ['13+83=96', '83-24=59'] Exploring Operation: 96-59=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 80, 14, 28, 79 ]
42
[ "80-79=1", "14+28=42", "1*42=42" ]
Current State: 42:[80, 14, 28, 79], Operations: [] Exploring Operation: 80-79=1, Resulting Numbers: [14, 28, 1] Generated Node #2: [14, 28, 1] from Operation: 80-79=1 Current State: 42:[14, 28, 1], Operations: ['80-79=1'] Exploring Operation: 14+28=42, Resulting Numbers: [1, 42] Generated Node #3: [1, 42] from Operation: 14+28=42 Current State: 42:[1, 42], Operations: ['80-79=1', '14+28=42'] Exploring Operation: 1*42=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 99, 4, 7, 29 ]
12
[ "7-4=3", "29*3=87", "99-87=12" ]
Current State: 12:[99, 4, 7, 29], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [99, 29, 3] Generated Node #2: [99, 29, 3] from Operation: 7-4=3 Current State: 12:[99, 29, 3], Operations: ['7-4=3'] Exploring Operation: 29*3=87, Resulting Numbers: [99, 87] Generated Node #3: [99, 87] from Operation: 29*3=87 Current State: 12:[99, 87], Operations: ['7-4=3', '29*3=87'] Exploring Operation: 99-87=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 11, 51, 90, 6 ]
30
[ "11+6=17", "51/17=3", "90/3=30" ]
Current State: 30:[11, 51, 90, 6], Operations: [] Exploring Operation: 11+6=17, Resulting Numbers: [51, 90, 17] Generated Node #2: [51, 90, 17] from Operation: 11+6=17 Current State: 30:[51, 90, 17], Operations: ['11+6=17'] Exploring Operation: 51/17=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 51/17=3 Current State: 30:[90, 3], Operations: ['11+6=17', '51/17=3'] Exploring Operation: 90/3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 5, 4, 1, 51 ]
64
[ "5*51=255", "1+255=256", "256/4=64" ]
Current State: 64:[5, 4, 1, 51], Operations: [] Exploring Operation: 5*51=255, Resulting Numbers: [4, 1, 255] Generated Node #2: [4, 1, 255] from Operation: 5*51=255 Current State: 64:[4, 1, 255], Operations: ['5*51=255'] Exploring Operation: 1+255=256, Resulting Numbers: [4, 256] Generated Node #3: [4, 256] from Operation: 1+255=256 Current State: 64:[4, 256], Operations: ['5*51=255', '1+255=256'] Exploring Operation: 256/4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 12, 20, 46, 10 ]
86
[ "12-10=2", "20*2=40", "46+40=86" ]
Current State: 86:[12, 20, 46, 10], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [20, 46, 2] Generated Node #2: [20, 46, 2] from Operation: 12-10=2 Current State: 86:[20, 46, 2], Operations: ['12-10=2'] Exploring Operation: 20*2=40, Resulting Numbers: [46, 40] Generated Node #3: [46, 40] from Operation: 20*2=40 Current State: 86:[46, 40], Operations: ['12-10=2', '20*2=40'] Exploring Operation: 46+40=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 54, 6, 83, 78 ]
14
[ "54/6=9", "83-78=5", "9+5=14" ]
Current State: 14:[54, 6, 83, 78], Operations: [] Exploring Operation: 54/6=9, Resulting Numbers: [83, 78, 9] Generated Node #2: [83, 78, 9] from Operation: 54/6=9 Current State: 14:[83, 78, 9], Operations: ['54/6=9'] Exploring Operation: 83-78=5, Resulting Numbers: [9, 5] Generated Node #3: [9, 5] from Operation: 83-78=5 Current State: 14:[9, 5], Operations: ['54/6=9', '83-78=5'] Exploring Operation: 9+5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 56, 11, 54, 15 ]
13
[ "56-54=2", "11+15=26", "26/2=13" ]
Current State: 13:[56, 11, 54, 15], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [11, 15, 2] Generated Node #2: [11, 15, 2] from Operation: 56-54=2 Current State: 13:[11, 15, 2], Operations: ['56-54=2'] Exploring Operation: 11+15=26, Resulting Numbers: [2, 26] Generated Node #3: [2, 26] from Operation: 11+15=26 Current State: 13:[2, 26], Operations: ['56-54=2', '11+15=26'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 13, 42, 77, 25 ]
46
[ "77-25=52", "52/13=4", "42+4=46" ]
Current State: 46:[13, 42, 77, 25], Operations: [] Exploring Operation: 77-25=52, Resulting Numbers: [13, 42, 52] Generated Node #2: [13, 42, 52] from Operation: 77-25=52 Current State: 46:[13, 42, 52], Operations: ['77-25=52'] Exploring Operation: 52/13=4, Resulting Numbers: [42, 4] Generated Node #3: [42, 4] from Operation: 52/13=4 Current State: 46:[42, 4], Operations: ['77-25=52', '52/13=4'] Exploring Operation: 42+4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 32, 3, 96, 96 ]
87
[ "96/32=3", "3*3=9", "96-9=87" ]
Current State: 87:[32, 3, 96, 96], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [3, 3] Generated Node #2: [3, 3] from Operation: 96/32=3 Current State: 87:[3, 3], Operations: ['96/32=3'] Exploring Operation: 3*3=9, Resulting Numbers: [9] 9,87 equal: Goal Reached Exploring Operation: 96-9=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 2, 58, 56, 22 ]
64
[ "56/2=28", "58-22=36", "28+36=64" ]
Current State: 64:[2, 58, 56, 22], Operations: [] Exploring Operation: 56/2=28, Resulting Numbers: [58, 22, 28] Generated Node #2: [58, 22, 28] from Operation: 56/2=28 Current State: 64:[58, 22, 28], Operations: ['56/2=28'] Exploring Operation: 58-22=36, Resulting Numbers: [28, 36] Generated Node #3: [28, 36] from Operation: 58-22=36 Current State: 64:[28, 36], Operations: ['56/2=28', '58-22=36'] Exploring Operation: 28+36=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 85, 23, 32, 95 ]
19
[ "85+23=108", "32+95=127", "127-108=19" ]
Current State: 19:[85, 23, 32, 95], Operations: [] Exploring Operation: 85+23=108, Resulting Numbers: [32, 95, 108] Generated Node #2: [32, 95, 108] from Operation: 85+23=108 Current State: 19:[32, 95, 108], Operations: ['85+23=108'] Exploring Operation: 32+95=127, Resulting Numbers: [108, 127] Generated Node #3: [108, 127] from Operation: 32+95=127 Current State: 19:[108, 127], Operations: ['85+23=108', '32+95=127'] Exploring Operation: 127-108=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 36, 6, 3, 25 ]
65
[ "36-6=30", "3*30=90", "90-25=65" ]
Current State: 65:[36, 6, 3, 25], Operations: [] Exploring Operation: 36-6=30, Resulting Numbers: [3, 25, 30] Generated Node #2: [3, 25, 30] from Operation: 36-6=30 Current State: 65:[3, 25, 30], Operations: ['36-6=30'] Exploring Operation: 3*30=90, Resulting Numbers: [25, 90] Generated Node #3: [25, 90] from Operation: 3*30=90 Current State: 65:[25, 90], Operations: ['36-6=30', '3*30=90'] Exploring Operation: 90-25=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 9, 70, 56, 62 ]
63
[ "9*56=504", "70-62=8", "504/8=63" ]
Current State: 63:[9, 70, 56, 62], Operations: [] Exploring Operation: 9*56=504, Resulting Numbers: [70, 62, 504] Generated Node #2: [70, 62, 504] from Operation: 9*56=504 Current State: 63:[70, 62, 504], Operations: ['9*56=504'] Exploring Operation: 70-62=8, Resulting Numbers: [504, 8] Generated Node #3: [504, 8] from Operation: 70-62=8 Current State: 63:[504, 8], Operations: ['9*56=504', '70-62=8'] Exploring Operation: 504/8=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 39, 29, 28, 30 ]
67
[ "39+28=67", "30-29=1", "67*1=67" ]
Current State: 67:[39, 29, 28, 30], Operations: [] Exploring Operation: 39+28=67, Resulting Numbers: [29, 30, 67] Generated Node #2: [29, 30, 67] from Operation: 39+28=67 Current State: 67:[29, 30, 67], Operations: ['39+28=67'] Exploring Operation: 30-29=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 30-29=1 Current State: 67:[67, 1], Operations: ['39+28=67', '30-29=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 89, 79, 41, 86 ]
35
[ "89-79=10", "86-41=45", "45-10=35" ]
Current State: 35:[89, 79, 41, 86], Operations: [] Exploring Operation: 89-79=10, Resulting Numbers: [41, 86, 10] Generated Node #2: [41, 86, 10] from Operation: 89-79=10 Current State: 35:[41, 86, 10], Operations: ['89-79=10'] Exploring Operation: 86-41=45, Resulting Numbers: [10, 45] Generated Node #3: [10, 45] from Operation: 86-41=45 Current State: 35:[10, 45], Operations: ['89-79=10', '86-41=45'] Exploring Operation: 45-10=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 87, 44, 23, 84 ]
25
[ "87-84=3", "23*3=69", "69-44=25" ]
Current State: 25:[87, 44, 23, 84], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [44, 23, 3] Generated Node #2: [44, 23, 3] from Operation: 87-84=3 Current State: 25:[44, 23, 3], Operations: ['87-84=3'] Exploring Operation: 23*3=69, Resulting Numbers: [44, 69] Generated Node #3: [44, 69] from Operation: 23*3=69 Current State: 25:[44, 69], Operations: ['87-84=3', '23*3=69'] Exploring Operation: 69-44=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 66, 14, 35, 59 ]
50
[ "66+59=125", "14*125=1750", "1750/35=50" ]
Current State: 50:[66, 14, 35, 59], Operations: [] Exploring Operation: 66+59=125, Resulting Numbers: [14, 35, 125] Generated Node #2: [14, 35, 125] from Operation: 66+59=125 Current State: 50:[14, 35, 125], Operations: ['66+59=125'] Exploring Operation: 14*125=1750, Resulting Numbers: [35, 1750] Generated Node #3: [35, 1750] from Operation: 14*125=1750 Current State: 50:[35, 1750], Operations: ['66+59=125', '14*125=1750'] Exploring Operation: 1750/35=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 11, 63, 70, 3 ]
60
[ "11+70=81", "63/3=21", "81-21=60" ]
Current State: 60:[11, 63, 70, 3], Operations: [] Exploring Operation: 11+70=81, Resulting Numbers: [63, 3, 81] Generated Node #2: [63, 3, 81] from Operation: 11+70=81 Current State: 60:[63, 3, 81], Operations: ['11+70=81'] Exploring Operation: 63/3=21, Resulting Numbers: [81, 21] Generated Node #3: [81, 21] from Operation: 63/3=21 Current State: 60:[81, 21], Operations: ['11+70=81', '63/3=21'] Exploring Operation: 81-21=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 41, 60, 19, 1 ]
13
[ "41*19=779", "1+779=780", "780/60=13" ]
Current State: 13:[41, 60, 19, 1], Operations: [] Exploring Operation: 41*19=779, Resulting Numbers: [60, 1, 779] Generated Node #2: [60, 1, 779] from Operation: 41*19=779 Current State: 13:[60, 1, 779], Operations: ['41*19=779'] Exploring Operation: 1+779=780, Resulting Numbers: [60, 780] Generated Node #3: [60, 780] from Operation: 1+779=780 Current State: 13:[60, 780], Operations: ['41*19=779', '1+779=780'] Exploring Operation: 780/60=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 37, 67, 91, 55 ]
67
[ "91-37=54", "55-54=1", "67*1=67" ]
Current State: 67:[37, 67, 91, 55], Operations: [] Exploring Operation: 91-37=54, Resulting Numbers: [67, 55, 54] Generated Node #2: [67, 55, 54] from Operation: 91-37=54 Current State: 67:[67, 55, 54], Operations: ['91-37=54'] Exploring Operation: 55-54=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 55-54=1 Current State: 67:[67, 1], Operations: ['91-37=54', '55-54=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 31, 98, 88, 84 ]
90
[ "98+88=186", "186/31=6", "84+6=90" ]
Current State: 90:[31, 98, 88, 84], Operations: [] Exploring Operation: 98+88=186, Resulting Numbers: [31, 84, 186] Generated Node #2: [31, 84, 186] from Operation: 98+88=186 Current State: 90:[31, 84, 186], Operations: ['98+88=186'] Exploring Operation: 186/31=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 186/31=6 Current State: 90:[84, 6], Operations: ['98+88=186', '186/31=6'] Exploring Operation: 84+6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 70, 61, 81, 30 ]
60
[ "70-61=9", "81-30=51", "9+51=60" ]
Current State: 60:[70, 61, 81, 30], Operations: [] Exploring Operation: 70-61=9, Resulting Numbers: [81, 30, 9] Generated Node #2: [81, 30, 9] from Operation: 70-61=9 Current State: 60:[81, 30, 9], Operations: ['70-61=9'] Exploring Operation: 81-30=51, Resulting Numbers: [9, 51] Generated Node #3: [9, 51] from Operation: 81-30=51 Current State: 60:[9, 51], Operations: ['70-61=9', '81-30=51'] Exploring Operation: 9+51=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 74, 52, 92, 16 ]
86
[ "74-52=22", "92+16=108", "108-22=86" ]
Current State: 86:[74, 52, 92, 16], Operations: [] Exploring Operation: 74-52=22, Resulting Numbers: [92, 16, 22] Generated Node #2: [92, 16, 22] from Operation: 74-52=22 Current State: 86:[92, 16, 22], Operations: ['74-52=22'] Exploring Operation: 92+16=108, Resulting Numbers: [22, 108] Generated Node #3: [22, 108] from Operation: 92+16=108 Current State: 86:[22, 108], Operations: ['74-52=22', '92+16=108'] Exploring Operation: 108-22=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4