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
[ 32, 7, 83, 99 ]
55
[ "32+7=39", "99-83=16", "39+16=55" ]
Current State: 55:[32, 7, 83, 99], Operations: [] Exploring Operation: 32+7=39, Resulting Numbers: [83, 99, 39] Generated Node #2: [83, 99, 39] from Operation: 32+7=39 Current State: 55:[83, 99, 39], Operations: ['32+7=39'] Exploring Operation: 99-83=16, Resulting Numbers: [39, 16] Generated Node #3: [39, 16] from Operation: 99-83=16 Current State: 55:[39, 16], Operations: ['32+7=39', '99-83=16'] Exploring Operation: 39+16=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 58, 25, 4, 80 ]
12
[ "58+25=83", "83-80=3", "4*3=12" ]
Current State: 12:[58, 25, 4, 80], Operations: [] Exploring Operation: 58+25=83, Resulting Numbers: [4, 80, 83] Generated Node #2: [4, 80, 83] from Operation: 58+25=83 Current State: 12:[4, 80, 83], Operations: ['58+25=83'] Exploring Operation: 83-80=3, Resulting Numbers: [4, 3] Generated Node #3: [4, 3] from Operation: 83-80=3 Current State: 12:[4, 3], Operations: ['58+25=83', '83-80=3'] Exploring Operation: 4*3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 95, 42, 78, 65 ]
90
[ "95-42=53", "78+65=143", "143-53=90" ]
Current State: 90:[95, 42, 78, 65], Operations: [] Exploring Operation: 95-42=53, Resulting Numbers: [78, 65, 53] Generated Node #2: [78, 65, 53] from Operation: 95-42=53 Current State: 90:[78, 65, 53], Operations: ['95-42=53'] Exploring Operation: 78+65=143, Resulting Numbers: [53, 143] Generated Node #3: [53, 143] from Operation: 78+65=143 Current State: 90:[53, 143], Operations: ['95-42=53', '78+65=143'] Exploring Operation: 143-53=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 60, 7, 9, 64 ]
60
[ "7*9=63", "64-63=1", "60*1=60" ]
Current State: 60:[60, 7, 9, 64], Operations: [] Exploring Operation: 7*9=63, Resulting Numbers: [60, 64, 63] Generated Node #2: [60, 64, 63] from Operation: 7*9=63 Current State: 60:[60, 64, 63], Operations: ['7*9=63'] Exploring Operation: 64-63=1, Resulting Numbers: [60, 1] Generated Node #3: [60, 1] from Operation: 64-63=1 Current State: 60:[60, 1], Operations: ['7*9=63', '64-63=1'] Exploring Operation: 60*1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 95, 17, 19, 15 ]
65
[ "19-17=2", "15*2=30", "95-30=65" ]
Current State: 65:[95, 17, 19, 15], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [95, 15, 2] Generated Node #2: [95, 15, 2] from Operation: 19-17=2 Current State: 65:[95, 15, 2], Operations: ['19-17=2'] Exploring Operation: 15*2=30, Resulting Numbers: [95, 30] Generated Node #3: [95, 30] from Operation: 15*2=30 Current State: 65:[95, 30], Operations: ['19-17=2', '15*2=30'] Exploring Operation: 95-30=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 43, 19, 4, 31 ]
67
[ "43-31=12", "4*12=48", "19+48=67" ]
Current State: 67:[43, 19, 4, 31], Operations: [] Exploring Operation: 43-31=12, Resulting Numbers: [19, 4, 12] Generated Node #2: [19, 4, 12] from Operation: 43-31=12 Current State: 67:[19, 4, 12], Operations: ['43-31=12'] Exploring Operation: 4*12=48, Resulting Numbers: [19, 48] Generated Node #3: [19, 48] from Operation: 4*12=48 Current State: 67:[19, 48], Operations: ['43-31=12', '4*12=48'] Exploring Operation: 19+48=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 50, 71, 14, 4 ]
35
[ "71-50=21", "14*4=56", "56-21=35" ]
Current State: 35:[50, 71, 14, 4], Operations: [] Exploring Operation: 71-50=21, Resulting Numbers: [14, 4, 21] Generated Node #2: [14, 4, 21] from Operation: 71-50=21 Current State: 35:[14, 4, 21], Operations: ['71-50=21'] Exploring Operation: 14*4=56, Resulting Numbers: [21, 56] Generated Node #3: [21, 56] from Operation: 14*4=56 Current State: 35:[21, 56], Operations: ['71-50=21', '14*4=56'] Exploring Operation: 56-21=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 75, 45, 85, 69 ]
46
[ "75-45=30", "85-69=16", "30+16=46" ]
Current State: 46:[75, 45, 85, 69], Operations: [] Exploring Operation: 75-45=30, Resulting Numbers: [85, 69, 30] Generated Node #2: [85, 69, 30] from Operation: 75-45=30 Current State: 46:[85, 69, 30], Operations: ['75-45=30'] Exploring Operation: 85-69=16, Resulting Numbers: [30, 16] Generated Node #3: [30, 16] from Operation: 85-69=16 Current State: 46:[30, 16], Operations: ['75-45=30', '85-69=16'] Exploring Operation: 30+16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 63, 1, 47, 82 ]
65
[ "63+1=64", "47+82=129", "129-64=65" ]
Current State: 65:[63, 1, 47, 82], Operations: [] Exploring Operation: 63+1=64, Resulting Numbers: [47, 82, 64] Generated Node #2: [47, 82, 64] from Operation: 63+1=64 Current State: 65:[47, 82, 64], Operations: ['63+1=64'] Exploring Operation: 47+82=129, Resulting Numbers: [64, 129] Generated Node #3: [64, 129] from Operation: 47+82=129 Current State: 65:[64, 129], Operations: ['63+1=64', '47+82=129'] Exploring Operation: 129-64=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 28, 8, 4, 81 ]
39
[ "28*4=112", "81-8=73", "112-73=39" ]
Current State: 39:[28, 8, 4, 81], Operations: [] Exploring Operation: 28*4=112, Resulting Numbers: [8, 81, 112] Generated Node #2: [8, 81, 112] from Operation: 28*4=112 Current State: 39:[8, 81, 112], Operations: ['28*4=112'] Exploring Operation: 81-8=73, Resulting Numbers: [112, 73] Generated Node #3: [112, 73] from Operation: 81-8=73 Current State: 39:[112, 73], Operations: ['28*4=112', '81-8=73'] Exploring Operation: 112-73=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 16, 89, 64, 65 ]
73
[ "89-16=73", "65-64=1", "73*1=73" ]
Current State: 73:[16, 89, 64, 65], Operations: [] Exploring Operation: 89-16=73, Resulting Numbers: [64, 65, 73] Generated Node #2: [64, 65, 73] from Operation: 89-16=73 Current State: 73:[64, 65, 73], Operations: ['89-16=73'] Exploring Operation: 65-64=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 65-64=1 Current State: 73:[73, 1], Operations: ['89-16=73', '65-64=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 66, 26, 25, 34 ]
83
[ "66+26=92", "34-25=9", "92-9=83" ]
Current State: 83:[66, 26, 25, 34], Operations: [] Exploring Operation: 66+26=92, Resulting Numbers: [25, 34, 92] Generated Node #2: [25, 34, 92] from Operation: 66+26=92 Current State: 83:[25, 34, 92], Operations: ['66+26=92'] Exploring Operation: 34-25=9, Resulting Numbers: [92, 9] Generated Node #3: [92, 9] from Operation: 34-25=9 Current State: 83:[92, 9], Operations: ['66+26=92', '34-25=9'] Exploring Operation: 92-9=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 4, 10, 2, 17 ]
66
[ "2+17=19", "4*19=76", "76-10=66" ]
Current State: 66:[4, 10, 2, 17], Operations: [] Exploring Operation: 2+17=19, Resulting Numbers: [4, 10, 19] Generated Node #2: [4, 10, 19] from Operation: 2+17=19 Current State: 66:[4, 10, 19], Operations: ['2+17=19'] Exploring Operation: 4*19=76, Resulting Numbers: [10, 76] Generated Node #3: [10, 76] from Operation: 4*19=76 Current State: 66:[10, 76], Operations: ['2+17=19', '4*19=76'] Exploring Operation: 76-10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 62, 54, 36, 59 ]
31
[ "62-54=8", "59-36=23", "8+23=31" ]
Current State: 31:[62, 54, 36, 59], Operations: [] Exploring Operation: 62-54=8, Resulting Numbers: [36, 59, 8] Generated Node #2: [36, 59, 8] from Operation: 62-54=8 Current State: 31:[36, 59, 8], Operations: ['62-54=8'] Exploring Operation: 59-36=23, Resulting Numbers: [8, 23] Generated Node #3: [8, 23] from Operation: 59-36=23 Current State: 31:[8, 23], Operations: ['62-54=8', '59-36=23'] Exploring Operation: 8+23=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 44, 92, 67, 64 ]
60
[ "67-44=23", "92/23=4", "64-4=60" ]
Current State: 60:[44, 92, 67, 64], Operations: [] Exploring Operation: 67-44=23, Resulting Numbers: [92, 64, 23] Generated Node #2: [92, 64, 23] from Operation: 67-44=23 Current State: 60:[92, 64, 23], Operations: ['67-44=23'] Exploring Operation: 92/23=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 92/23=4 Current State: 60:[64, 4], Operations: ['67-44=23', '92/23=4'] Exploring Operation: 64-4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 85, 43, 69, 56 ]
87
[ "43+69=112", "112/56=2", "85+2=87" ]
Current State: 87:[85, 43, 69, 56], Operations: [] Exploring Operation: 43+69=112, Resulting Numbers: [85, 56, 112] Generated Node #2: [85, 56, 112] from Operation: 43+69=112 Current State: 87:[85, 56, 112], Operations: ['43+69=112'] Exploring Operation: 112/56=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 112/56=2 Current State: 87:[85, 2], Operations: ['43+69=112', '112/56=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 93, 64, 36, 26 ]
39
[ "93-64=29", "36-26=10", "29+10=39" ]
Current State: 39:[93, 64, 36, 26], Operations: [] Exploring Operation: 93-64=29, Resulting Numbers: [36, 26, 29] Generated Node #2: [36, 26, 29] from Operation: 93-64=29 Current State: 39:[36, 26, 29], Operations: ['93-64=29'] Exploring Operation: 36-26=10, Resulting Numbers: [29, 10] Generated Node #3: [29, 10] from Operation: 36-26=10 Current State: 39:[29, 10], Operations: ['93-64=29', '36-26=10'] Exploring Operation: 29+10=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 58, 35, 79, 55 ]
26
[ "58-55=3", "35*3=105", "105-79=26" ]
Current State: 26:[58, 35, 79, 55], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [35, 79, 3] Generated Node #2: [35, 79, 3] from Operation: 58-55=3 Current State: 26:[35, 79, 3], Operations: ['58-55=3'] Exploring Operation: 35*3=105, Resulting Numbers: [79, 105] Generated Node #3: [79, 105] from Operation: 35*3=105 Current State: 26:[79, 105], Operations: ['58-55=3', '35*3=105'] Exploring Operation: 105-79=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 77, 49, 67, 10 ]
69
[ "77+49=126", "67-10=57", "126-57=69" ]
Current State: 69:[77, 49, 67, 10], Operations: [] Exploring Operation: 77+49=126, Resulting Numbers: [67, 10, 126] Generated Node #2: [67, 10, 126] from Operation: 77+49=126 Current State: 69:[67, 10, 126], Operations: ['77+49=126'] Exploring Operation: 67-10=57, Resulting Numbers: [126, 57] Generated Node #3: [126, 57] from Operation: 67-10=57 Current State: 69:[126, 57], Operations: ['77+49=126', '67-10=57'] Exploring Operation: 126-57=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 14, 60, 76, 74 ]
92
[ "60-14=46", "76-74=2", "46*2=92" ]
Current State: 92:[14, 60, 76, 74], Operations: [] Exploring Operation: 60-14=46, Resulting Numbers: [76, 74, 46] Generated Node #2: [76, 74, 46] from Operation: 60-14=46 Current State: 92:[76, 74, 46], Operations: ['60-14=46'] Exploring Operation: 76-74=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 76-74=2 Current State: 92:[46, 2], Operations: ['60-14=46', '76-74=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 5, 35, 1, 52 ]
80
[ "35+1=36", "52-36=16", "5*16=80" ]
Current State: 80:[5, 35, 1, 52], Operations: [] Exploring Operation: 35+1=36, Resulting Numbers: [5, 52, 36] Generated Node #2: [5, 52, 36] from Operation: 35+1=36 Current State: 80:[5, 52, 36], Operations: ['35+1=36'] Exploring Operation: 52-36=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 52-36=16 Current State: 80:[5, 16], Operations: ['35+1=36', '52-36=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 56, 34, 33, 28 ]
29
[ "56+34=90", "33+28=61", "90-61=29" ]
Current State: 29:[56, 34, 33, 28], Operations: [] Exploring Operation: 56+34=90, Resulting Numbers: [33, 28, 90] Generated Node #2: [33, 28, 90] from Operation: 56+34=90 Current State: 29:[33, 28, 90], Operations: ['56+34=90'] Exploring Operation: 33+28=61, Resulting Numbers: [90, 61] Generated Node #3: [90, 61] from Operation: 33+28=61 Current State: 29:[90, 61], Operations: ['56+34=90', '33+28=61'] Exploring Operation: 90-61=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 58, 77, 41, 29 ]
59
[ "58/29=2", "77+41=118", "118/2=59" ]
Current State: 59:[58, 77, 41, 29], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [77, 41, 2] Generated Node #2: [77, 41, 2] from Operation: 58/29=2 Current State: 59:[77, 41, 2], Operations: ['58/29=2'] Exploring Operation: 77+41=118, Resulting Numbers: [2, 118] Generated Node #3: [2, 118] from Operation: 77+41=118 Current State: 59:[2, 118], Operations: ['58/29=2', '77+41=118'] Exploring Operation: 118/2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 88, 72, 24, 15 ]
43
[ "72/24=3", "15*3=45", "88-45=43" ]
Current State: 43:[88, 72, 24, 15], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [88, 15, 3] Generated Node #2: [88, 15, 3] from Operation: 72/24=3 Current State: 43:[88, 15, 3], Operations: ['72/24=3'] Exploring Operation: 15*3=45, Resulting Numbers: [88, 45] Generated Node #3: [88, 45] from Operation: 15*3=45 Current State: 43:[88, 45], Operations: ['72/24=3', '15*3=45'] Exploring Operation: 88-45=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 24, 81, 46, 3 ]
14
[ "81-24=57", "46-3=43", "57-43=14" ]
Current State: 14:[24, 81, 46, 3], Operations: [] Exploring Operation: 81-24=57, Resulting Numbers: [46, 3, 57] Generated Node #2: [46, 3, 57] from Operation: 81-24=57 Current State: 14:[46, 3, 57], Operations: ['81-24=57'] Exploring Operation: 46-3=43, Resulting Numbers: [57, 43] Generated Node #3: [57, 43] from Operation: 46-3=43 Current State: 14:[57, 43], Operations: ['81-24=57', '46-3=43'] Exploring Operation: 57-43=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 83, 4, 14, 33 ]
40
[ "83+4=87", "14+33=47", "87-47=40" ]
Current State: 40:[83, 4, 14, 33], Operations: [] Exploring Operation: 83+4=87, Resulting Numbers: [14, 33, 87] Generated Node #2: [14, 33, 87] from Operation: 83+4=87 Current State: 40:[14, 33, 87], Operations: ['83+4=87'] Exploring Operation: 14+33=47, Resulting Numbers: [87, 47] Generated Node #3: [87, 47] from Operation: 14+33=47 Current State: 40:[87, 47], Operations: ['83+4=87', '14+33=47'] Exploring Operation: 87-47=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 94, 4, 21, 42 ]
52
[ "94+42=136", "4*21=84", "136-84=52" ]
Current State: 52:[94, 4, 21, 42], Operations: [] Exploring Operation: 94+42=136, Resulting Numbers: [4, 21, 136] Generated Node #2: [4, 21, 136] from Operation: 94+42=136 Current State: 52:[4, 21, 136], Operations: ['94+42=136'] Exploring Operation: 4*21=84, Resulting Numbers: [136, 84] Generated Node #3: [136, 84] from Operation: 4*21=84 Current State: 52:[136, 84], Operations: ['94+42=136', '4*21=84'] Exploring Operation: 136-84=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 96, 1, 36, 3 ]
21
[ "96-36=60", "60/3=20", "1+20=21" ]
Current State: 21:[96, 1, 36, 3], Operations: [] Exploring Operation: 96-36=60, Resulting Numbers: [1, 3, 60] Generated Node #2: [1, 3, 60] from Operation: 96-36=60 Current State: 21:[1, 3, 60], Operations: ['96-36=60'] Exploring Operation: 60/3=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 60/3=20 Current State: 21:[1, 20], Operations: ['96-36=60', '60/3=20'] Exploring Operation: 1+20=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 90, 3, 58, 7 ]
89
[ "90-58=32", "3*32=96", "96-7=89" ]
Current State: 89:[90, 3, 58, 7], Operations: [] Exploring Operation: 90-58=32, Resulting Numbers: [3, 7, 32] Generated Node #2: [3, 7, 32] from Operation: 90-58=32 Current State: 89:[3, 7, 32], Operations: ['90-58=32'] Exploring Operation: 3*32=96, Resulting Numbers: [7, 96] Generated Node #3: [7, 96] from Operation: 3*32=96 Current State: 89:[7, 96], Operations: ['90-58=32', '3*32=96'] Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 18, 54, 2, 44 ]
43
[ "54/18=3", "2+44=46", "46-3=43" ]
Current State: 43:[18, 54, 2, 44], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [2, 44, 3] Generated Node #2: [2, 44, 3] from Operation: 54/18=3 Current State: 43:[2, 44, 3], Operations: ['54/18=3'] Exploring Operation: 2+44=46, Resulting Numbers: [3, 46] Generated Node #3: [3, 46] from Operation: 2+44=46 Current State: 43:[3, 46], Operations: ['54/18=3', '2+44=46'] Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 13, 42, 83, 4 ]
18
[ "13+83=96", "96/4=24", "42-24=18" ]
Current State: 18:[13, 42, 83, 4], Operations: [] Exploring Operation: 13+83=96, Resulting Numbers: [42, 4, 96] Generated Node #2: [42, 4, 96] from Operation: 13+83=96 Current State: 18:[42, 4, 96], Operations: ['13+83=96'] Exploring Operation: 96/4=24, Resulting Numbers: [42, 24] Generated Node #3: [42, 24] from Operation: 96/4=24 Current State: 18:[42, 24], Operations: ['13+83=96', '96/4=24'] Exploring Operation: 42-24=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 91, 4, 72, 43 ]
28
[ "91-4=87", "72+43=115", "115-87=28" ]
Current State: 28:[91, 4, 72, 43], Operations: [] Exploring Operation: 91-4=87, Resulting Numbers: [72, 43, 87] Generated Node #2: [72, 43, 87] from Operation: 91-4=87 Current State: 28:[72, 43, 87], Operations: ['91-4=87'] Exploring Operation: 72+43=115, Resulting Numbers: [87, 115] Generated Node #3: [87, 115] from Operation: 72+43=115 Current State: 28:[87, 115], Operations: ['91-4=87', '72+43=115'] Exploring Operation: 115-87=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 13, 62, 32, 50 ]
67
[ "62-13=49", "50-32=18", "49+18=67" ]
Current State: 67:[13, 62, 32, 50], Operations: [] Exploring Operation: 62-13=49, Resulting Numbers: [32, 50, 49] Generated Node #2: [32, 50, 49] from Operation: 62-13=49 Current State: 67:[32, 50, 49], Operations: ['62-13=49'] Exploring Operation: 50-32=18, Resulting Numbers: [49, 18] Generated Node #3: [49, 18] from Operation: 50-32=18 Current State: 67:[49, 18], Operations: ['62-13=49', '50-32=18'] Exploring Operation: 49+18=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 2, 62, 73, 35 ]
65
[ "2*35=70", "62+73=135", "135-70=65" ]
Current State: 65:[2, 62, 73, 35], Operations: [] Exploring Operation: 2*35=70, Resulting Numbers: [62, 73, 70] Generated Node #2: [62, 73, 70] from Operation: 2*35=70 Current State: 65:[62, 73, 70], Operations: ['2*35=70'] Exploring Operation: 62+73=135, Resulting Numbers: [70, 135] Generated Node #3: [70, 135] from Operation: 62+73=135 Current State: 65:[70, 135], Operations: ['2*35=70', '62+73=135'] Exploring Operation: 135-70=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 84, 49, 14, 40 ]
56
[ "49*40=1960", "1960/14=140", "140-84=56" ]
Current State: 56:[84, 49, 14, 40], Operations: [] Exploring Operation: 49*40=1960, Resulting Numbers: [84, 14, 1960] Generated Node #2: [84, 14, 1960] from Operation: 49*40=1960 Current State: 56:[84, 14, 1960], Operations: ['49*40=1960'] Exploring Operation: 1960/14=140, Resulting Numbers: [84, 140] Generated Node #3: [84, 140] from Operation: 1960/14=140 Current State: 56:[84, 140], Operations: ['49*40=1960', '1960/14=140'] Exploring Operation: 140-84=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 85, 5, 68, 80 ]
69
[ "85-5=80", "80/80=1", "68+1=69" ]
Current State: 69:[85, 5, 68, 80], Operations: [] Exploring Operation: 85-5=80, Resulting Numbers: [68, 80, 80] Generated Node #2: [68, 80, 80] from Operation: 85-5=80 Current State: 69:[68, 80, 80], Operations: ['85-5=80'] Exploring Operation: 80/80=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 80/80=1 Current State: 69:[68, 1], Operations: ['85-5=80', '80/80=1'] Exploring Operation: 68+1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 59, 46, 38, 99 ]
92
[ "59+38=97", "99-97=2", "46*2=92" ]
Current State: 92:[59, 46, 38, 99], Operations: [] Exploring Operation: 59+38=97, Resulting Numbers: [46, 99, 97] Generated Node #2: [46, 99, 97] from Operation: 59+38=97 Current State: 92:[46, 99, 97], Operations: ['59+38=97'] Exploring Operation: 99-97=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 99-97=2 Current State: 92:[46, 2], Operations: ['59+38=97', '99-97=2'] Exploring Operation: 46*2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 72, 84, 15, 24 ]
51
[ "84-72=12", "15+24=39", "12+39=51" ]
Current State: 51:[72, 84, 15, 24], Operations: [] Exploring Operation: 84-72=12, Resulting Numbers: [15, 24, 12] Generated Node #2: [15, 24, 12] from Operation: 84-72=12 Current State: 51:[15, 24, 12], Operations: ['84-72=12'] Exploring Operation: 15+24=39, Resulting Numbers: [12, 39] Generated Node #3: [12, 39] from Operation: 15+24=39 Current State: 51:[12, 39], Operations: ['84-72=12', '15+24=39'] Exploring Operation: 12+39=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 29, 13, 16, 15 ]
39
[ "29+16=45", "13*45=585", "585/15=39" ]
Current State: 39:[29, 13, 16, 15], Operations: [] Exploring Operation: 29+16=45, Resulting Numbers: [13, 15, 45] Generated Node #2: [13, 15, 45] from Operation: 29+16=45 Current State: 39:[13, 15, 45], Operations: ['29+16=45'] Exploring Operation: 13*45=585, Resulting Numbers: [15, 585] Generated Node #3: [15, 585] from Operation: 13*45=585 Current State: 39:[15, 585], Operations: ['29+16=45', '13*45=585'] Exploring Operation: 585/15=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 69, 81, 3, 58 ]
16
[ "69-58=11", "81/3=27", "27-11=16" ]
Current State: 16:[69, 81, 3, 58], Operations: [] Exploring Operation: 69-58=11, Resulting Numbers: [81, 3, 11] Generated Node #2: [81, 3, 11] from Operation: 69-58=11 Current State: 16:[81, 3, 11], Operations: ['69-58=11'] Exploring Operation: 81/3=27, Resulting Numbers: [11, 27] Generated Node #3: [11, 27] from Operation: 81/3=27 Current State: 16:[11, 27], Operations: ['69-58=11', '81/3=27'] Exploring Operation: 27-11=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 94, 53, 62, 48 ]
69
[ "94-53=41", "62+48=110", "110-41=69" ]
Current State: 69:[94, 53, 62, 48], Operations: [] Exploring Operation: 94-53=41, Resulting Numbers: [62, 48, 41] Generated Node #2: [62, 48, 41] from Operation: 94-53=41 Current State: 69:[62, 48, 41], Operations: ['94-53=41'] Exploring Operation: 62+48=110, Resulting Numbers: [41, 110] Generated Node #3: [41, 110] from Operation: 62+48=110 Current State: 69:[41, 110], Operations: ['94-53=41', '62+48=110'] Exploring Operation: 110-41=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 11, 1, 82, 16 ]
87
[ "11*1=11", "82+16=98", "98-11=87" ]
Current State: 87:[11, 1, 82, 16], Operations: [] Exploring Operation: 11*1=11, Resulting Numbers: [82, 16, 11] Generated Node #2: [82, 16, 11] from Operation: 11*1=11 Current State: 87:[82, 16, 11], Operations: ['11*1=11'] Exploring Operation: 82+16=98, Resulting Numbers: [11, 98] Generated Node #3: [11, 98] from Operation: 82+16=98 Current State: 87:[11, 98], Operations: ['11*1=11', '82+16=98'] Exploring Operation: 98-11=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 87, 27, 50, 10 ]
11
[ "87-27=60", "50+60=110", "110/10=11" ]
Current State: 11:[87, 27, 50, 10], Operations: [] Exploring Operation: 87-27=60, Resulting Numbers: [50, 10, 60] Generated Node #2: [50, 10, 60] from Operation: 87-27=60 Current State: 11:[50, 10, 60], Operations: ['87-27=60'] Exploring Operation: 50+60=110, Resulting Numbers: [10, 110] Generated Node #3: [10, 110] from Operation: 50+60=110 Current State: 11:[10, 110], Operations: ['87-27=60', '50+60=110'] Exploring Operation: 110/10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 86, 47, 43, 55 ]
39
[ "86*47=4042", "4042/43=94", "94-55=39" ]
Current State: 39:[86, 47, 43, 55], Operations: [] Exploring Operation: 86*47=4042, Resulting Numbers: [43, 55, 4042] Generated Node #2: [43, 55, 4042] from Operation: 86*47=4042 Current State: 39:[43, 55, 4042], Operations: ['86*47=4042'] Exploring Operation: 4042/43=94, Resulting Numbers: [55, 94] Generated Node #3: [55, 94] from Operation: 4042/43=94 Current State: 39:[55, 94], Operations: ['86*47=4042', '4042/43=94'] Exploring Operation: 94-55=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 83, 91, 30, 71 ]
49
[ "91-83=8", "71-30=41", "8+41=49" ]
Current State: 49:[83, 91, 30, 71], Operations: [] Exploring Operation: 91-83=8, Resulting Numbers: [30, 71, 8] Generated Node #2: [30, 71, 8] from Operation: 91-83=8 Current State: 49:[30, 71, 8], Operations: ['91-83=8'] Exploring Operation: 71-30=41, Resulting Numbers: [8, 41] Generated Node #3: [8, 41] from Operation: 71-30=41 Current State: 49:[8, 41], Operations: ['91-83=8', '71-30=41'] Exploring Operation: 8+41=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 67, 46, 71, 62 ]
12
[ "67-46=21", "71-62=9", "21-9=12" ]
Current State: 12:[67, 46, 71, 62], Operations: [] Exploring Operation: 67-46=21, Resulting Numbers: [71, 62, 21] Generated Node #2: [71, 62, 21] from Operation: 67-46=21 Current State: 12:[71, 62, 21], Operations: ['67-46=21'] Exploring Operation: 71-62=9, Resulting Numbers: [21, 9] Generated Node #3: [21, 9] from Operation: 71-62=9 Current State: 12:[21, 9], Operations: ['67-46=21', '71-62=9'] Exploring Operation: 21-9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 81, 22, 9, 22 ]
28
[ "81-22=59", "9+22=31", "59-31=28" ]
Current State: 28:[81, 22, 9, 22], Operations: [] Exploring Operation: 81-22=59, Resulting Numbers: [9, 59] Generated Node #2: [9, 59] from Operation: 81-22=59 Current State: 28:[9, 59], Operations: ['81-22=59'] Exploring Operation: 9+22=31, Resulting Numbers: [59, 31] Generated Node #3: [59, 31] from Operation: 9+22=31 Current State: 28:[59, 31], Operations: ['81-22=59', '9+22=31'] Exploring Operation: 59-31=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 37, 10, 11, 83 ]
67
[ "37-10=27", "11+83=94", "94-27=67" ]
Current State: 67:[37, 10, 11, 83], Operations: [] Exploring Operation: 37-10=27, Resulting Numbers: [11, 83, 27] Generated Node #2: [11, 83, 27] from Operation: 37-10=27 Current State: 67:[11, 83, 27], Operations: ['37-10=27'] Exploring Operation: 11+83=94, Resulting Numbers: [27, 94] Generated Node #3: [27, 94] from Operation: 11+83=94 Current State: 67:[27, 94], Operations: ['37-10=27', '11+83=94'] Exploring Operation: 94-27=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 31, 15, 32, 39 ]
78
[ "31-15=16", "32*39=1248", "1248/16=78" ]
Current State: 78:[31, 15, 32, 39], Operations: [] Exploring Operation: 31-15=16, Resulting Numbers: [32, 39, 16] Generated Node #2: [32, 39, 16] from Operation: 31-15=16 Current State: 78:[32, 39, 16], Operations: ['31-15=16'] Exploring Operation: 32*39=1248, Resulting Numbers: [16, 1248] Generated Node #3: [16, 1248] from Operation: 32*39=1248 Current State: 78:[16, 1248], Operations: ['31-15=16', '32*39=1248'] Exploring Operation: 1248/16=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 95, 24, 70, 1 ]
49
[ "95+24=119", "70*1=70", "119-70=49" ]
Current State: 49:[95, 24, 70, 1], Operations: [] Exploring Operation: 95+24=119, Resulting Numbers: [70, 1, 119] Generated Node #2: [70, 1, 119] from Operation: 95+24=119 Current State: 49:[70, 1, 119], Operations: ['95+24=119'] Exploring Operation: 70*1=70, Resulting Numbers: [119, 70] Generated Node #3: [119, 70] from Operation: 70*1=70 Current State: 49:[119, 70], Operations: ['95+24=119', '70*1=70'] Exploring Operation: 119-70=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 50, 41, 65, 90 ]
39
[ "90-65=25", "50/25=2", "41-2=39" ]
Current State: 39:[50, 41, 65, 90], Operations: [] Exploring Operation: 90-65=25, Resulting Numbers: [50, 41, 25] Generated Node #2: [50, 41, 25] from Operation: 90-65=25 Current State: 39:[50, 41, 25], Operations: ['90-65=25'] Exploring Operation: 50/25=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 50/25=2 Current State: 39:[41, 2], Operations: ['90-65=25', '50/25=2'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 17, 5, 68, 6 ]
86
[ "17-5=12", "68+6=74", "12+74=86" ]
Current State: 86:[17, 5, 68, 6], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [68, 6, 12] Generated Node #2: [68, 6, 12] from Operation: 17-5=12 Current State: 86:[68, 6, 12], Operations: ['17-5=12'] Exploring Operation: 68+6=74, Resulting Numbers: [12, 74] Generated Node #3: [12, 74] from Operation: 68+6=74 Current State: 86:[12, 74], Operations: ['17-5=12', '68+6=74'] Exploring Operation: 12+74=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 63, 9, 14, 4 ]
25
[ "63/9=7", "14+4=18", "7+18=25" ]
Current State: 25:[63, 9, 14, 4], Operations: [] Exploring Operation: 63/9=7, Resulting Numbers: [14, 4, 7] Generated Node #2: [14, 4, 7] from Operation: 63/9=7 Current State: 25:[14, 4, 7], Operations: ['63/9=7'] Exploring Operation: 14+4=18, Resulting Numbers: [7, 18] Generated Node #3: [7, 18] from Operation: 14+4=18 Current State: 25:[7, 18], Operations: ['63/9=7', '14+4=18'] Exploring Operation: 7+18=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 93, 5, 73, 82 ]
57
[ "93+5=98", "73+82=155", "155-98=57" ]
Current State: 57:[93, 5, 73, 82], Operations: [] Exploring Operation: 93+5=98, Resulting Numbers: [73, 82, 98] Generated Node #2: [73, 82, 98] from Operation: 93+5=98 Current State: 57:[73, 82, 98], Operations: ['93+5=98'] Exploring Operation: 73+82=155, Resulting Numbers: [98, 155] Generated Node #3: [98, 155] from Operation: 73+82=155 Current State: 57:[98, 155], Operations: ['93+5=98', '73+82=155'] Exploring Operation: 155-98=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 17, 7, 88, 39 ]
10
[ "88-39=49", "49/7=7", "17-7=10" ]
Current State: 10:[17, 7, 88, 39], Operations: [] Exploring Operation: 88-39=49, Resulting Numbers: [17, 7, 49] Generated Node #2: [17, 7, 49] from Operation: 88-39=49 Current State: 10:[17, 7, 49], Operations: ['88-39=49'] Exploring Operation: 49/7=7, Resulting Numbers: [17, 7] Generated Node #3: [17, 7] from Operation: 49/7=7 Current State: 10:[17, 7], Operations: ['88-39=49', '49/7=7'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 60, 22, 76, 82 ]
76
[ "60+22=82", "76+82=158", "158-82=76" ]
Current State: 76:[60, 22, 76, 82], Operations: [] Exploring Operation: 60+22=82, Resulting Numbers: [76, 82, 82] Generated Node #2: [76, 82, 82] from Operation: 60+22=82 Current State: 76:[76, 82, 82], Operations: ['60+22=82'] Exploring Operation: 76+82=158, Resulting Numbers: [158] 158,76 equal: Goal Reached Exploring Operation: 158-82=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 88, 72, 2, 83 ]
24
[ "88-2=86", "86-83=3", "72/3=24" ]
Current State: 24:[88, 72, 2, 83], Operations: [] Exploring Operation: 88-2=86, Resulting Numbers: [72, 83, 86] Generated Node #2: [72, 83, 86] from Operation: 88-2=86 Current State: 24:[72, 83, 86], Operations: ['88-2=86'] Exploring Operation: 86-83=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 86-83=3 Current State: 24:[72, 3], Operations: ['88-2=86', '86-83=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 87, 94, 80, 86 ]
14
[ "87-86=1", "94-80=14", "1*14=14" ]
Current State: 14:[87, 94, 80, 86], Operations: [] Exploring Operation: 87-86=1, Resulting Numbers: [94, 80, 1] Generated Node #2: [94, 80, 1] from Operation: 87-86=1 Current State: 14:[94, 80, 1], Operations: ['87-86=1'] Exploring Operation: 94-80=14, Resulting Numbers: [1, 14] Generated Node #3: [1, 14] from Operation: 94-80=14 Current State: 14:[1, 14], Operations: ['87-86=1', '94-80=14'] Exploring Operation: 1*14=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 74, 76, 61, 36 ]
50
[ "76-74=2", "61-36=25", "2*25=50" ]
Current State: 50:[74, 76, 61, 36], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [61, 36, 2] Generated Node #2: [61, 36, 2] from Operation: 76-74=2 Current State: 50:[61, 36, 2], Operations: ['76-74=2'] Exploring Operation: 61-36=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 61-36=25 Current State: 50:[2, 25], Operations: ['76-74=2', '61-36=25'] Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 25, 50, 49, 23 ]
48
[ "25+23=48", "50-49=1", "48*1=48" ]
Current State: 48:[25, 50, 49, 23], Operations: [] Exploring Operation: 25+23=48, Resulting Numbers: [50, 49, 48] Generated Node #2: [50, 49, 48] from Operation: 25+23=48 Current State: 48:[50, 49, 48], Operations: ['25+23=48'] Exploring Operation: 50-49=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 50-49=1 Current State: 48:[48, 1], Operations: ['25+23=48', '50-49=1'] Exploring Operation: 48*1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 85, 51, 80, 38 ]
70
[ "80-38=42", "85*42=3570", "3570/51=70" ]
Current State: 70:[85, 51, 80, 38], Operations: [] Exploring Operation: 80-38=42, Resulting Numbers: [85, 51, 42] Generated Node #2: [85, 51, 42] from Operation: 80-38=42 Current State: 70:[85, 51, 42], Operations: ['80-38=42'] Exploring Operation: 85*42=3570, Resulting Numbers: [51, 3570] Generated Node #3: [51, 3570] from Operation: 85*42=3570 Current State: 70:[51, 3570], Operations: ['80-38=42', '85*42=3570'] Exploring Operation: 3570/51=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 88, 73, 83 ]
14
[ "73-3=70", "88-83=5", "70/5=14" ]
Current State: 14:[3, 88, 73, 83], Operations: [] Exploring Operation: 73-3=70, Resulting Numbers: [88, 83, 70] Generated Node #2: [88, 83, 70] from Operation: 73-3=70 Current State: 14:[88, 83, 70], Operations: ['73-3=70'] Exploring Operation: 88-83=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 88-83=5 Current State: 14:[70, 5], Operations: ['73-3=70', '88-83=5'] Exploring Operation: 70/5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 64, 21, 95, 72 ]
32
[ "95-21=74", "74-72=2", "64/2=32" ]
Current State: 32:[64, 21, 95, 72], Operations: [] Exploring Operation: 95-21=74, Resulting Numbers: [64, 72, 74] Generated Node #2: [64, 72, 74] from Operation: 95-21=74 Current State: 32:[64, 72, 74], Operations: ['95-21=74'] Exploring Operation: 74-72=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 74-72=2 Current State: 32:[64, 2], Operations: ['95-21=74', '74-72=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 80, 11, 83, 74 ]
100
[ "80+11=91", "83-74=9", "91+9=100" ]
Current State: 100:[80, 11, 83, 74], Operations: [] Exploring Operation: 80+11=91, Resulting Numbers: [83, 74, 91] Generated Node #2: [83, 74, 91] from Operation: 80+11=91 Current State: 100:[83, 74, 91], Operations: ['80+11=91'] Exploring Operation: 83-74=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 83-74=9 Current State: 100:[91, 9], Operations: ['80+11=91', '83-74=9'] Exploring Operation: 91+9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 41, 26, 16, 43 ]
12
[ "41-26=15", "43-16=27", "27-15=12" ]
Current State: 12:[41, 26, 16, 43], Operations: [] Exploring Operation: 41-26=15, Resulting Numbers: [16, 43, 15] Generated Node #2: [16, 43, 15] from Operation: 41-26=15 Current State: 12:[16, 43, 15], Operations: ['41-26=15'] Exploring Operation: 43-16=27, Resulting Numbers: [15, 27] Generated Node #3: [15, 27] from Operation: 43-16=27 Current State: 12:[15, 27], Operations: ['41-26=15', '43-16=27'] Exploring Operation: 27-15=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 24, 42, 80, 9 ]
94
[ "24*9=216", "42+80=122", "216-122=94" ]
Current State: 94:[24, 42, 80, 9], Operations: [] Exploring Operation: 24*9=216, Resulting Numbers: [42, 80, 216] Generated Node #2: [42, 80, 216] from Operation: 24*9=216 Current State: 94:[42, 80, 216], Operations: ['24*9=216'] Exploring Operation: 42+80=122, Resulting Numbers: [216, 122] Generated Node #3: [216, 122] from Operation: 42+80=122 Current State: 94:[216, 122], Operations: ['24*9=216', '42+80=122'] Exploring Operation: 216-122=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 63, 2, 65, 98 ]
28
[ "63-2=61", "98-65=33", "61-33=28" ]
Current State: 28:[63, 2, 65, 98], Operations: [] Exploring Operation: 63-2=61, Resulting Numbers: [65, 98, 61] Generated Node #2: [65, 98, 61] from Operation: 63-2=61 Current State: 28:[65, 98, 61], Operations: ['63-2=61'] Exploring Operation: 98-65=33, Resulting Numbers: [61, 33] Generated Node #3: [61, 33] from Operation: 98-65=33 Current State: 28:[61, 33], Operations: ['63-2=61', '98-65=33'] Exploring Operation: 61-33=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 87, 65, 85, 32 ]
95
[ "87-65=22", "85+32=117", "117-22=95" ]
Current State: 95:[87, 65, 85, 32], Operations: [] Exploring Operation: 87-65=22, Resulting Numbers: [85, 32, 22] Generated Node #2: [85, 32, 22] from Operation: 87-65=22 Current State: 95:[85, 32, 22], Operations: ['87-65=22'] Exploring Operation: 85+32=117, Resulting Numbers: [22, 117] Generated Node #3: [22, 117] from Operation: 85+32=117 Current State: 95:[22, 117], Operations: ['87-65=22', '85+32=117'] Exploring Operation: 117-22=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 27, 20, 2, 28 ]
19
[ "27-20=7", "28-2=26", "26-7=19" ]
Current State: 19:[27, 20, 2, 28], Operations: [] Exploring Operation: 27-20=7, Resulting Numbers: [2, 28, 7] Generated Node #2: [2, 28, 7] from Operation: 27-20=7 Current State: 19:[2, 28, 7], Operations: ['27-20=7'] Exploring Operation: 28-2=26, Resulting Numbers: [7, 26] Generated Node #3: [7, 26] from Operation: 28-2=26 Current State: 19:[7, 26], Operations: ['27-20=7', '28-2=26'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 75, 19, 42, 99 ]
25
[ "75*19=1425", "99-42=57", "1425/57=25" ]
Current State: 25:[75, 19, 42, 99], Operations: [] Exploring Operation: 75*19=1425, Resulting Numbers: [42, 99, 1425] Generated Node #2: [42, 99, 1425] from Operation: 75*19=1425 Current State: 25:[42, 99, 1425], Operations: ['75*19=1425'] Exploring Operation: 99-42=57, Resulting Numbers: [1425, 57] Generated Node #3: [1425, 57] from Operation: 99-42=57 Current State: 25:[1425, 57], Operations: ['75*19=1425', '99-42=57'] Exploring Operation: 1425/57=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 97, 31, 96, 76 ]
57
[ "97+31=128", "96*76=7296", "7296/128=57" ]
Current State: 57:[97, 31, 96, 76], Operations: [] Exploring Operation: 97+31=128, Resulting Numbers: [96, 76, 128] Generated Node #2: [96, 76, 128] from Operation: 97+31=128 Current State: 57:[96, 76, 128], Operations: ['97+31=128'] Exploring Operation: 96*76=7296, Resulting Numbers: [128, 7296] Generated Node #3: [128, 7296] from Operation: 96*76=7296 Current State: 57:[128, 7296], Operations: ['97+31=128', '96*76=7296'] Exploring Operation: 7296/128=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 17, 77, 54, 79 ]
85
[ "77-17=60", "79-54=25", "60+25=85" ]
Current State: 85:[17, 77, 54, 79], Operations: [] Exploring Operation: 77-17=60, Resulting Numbers: [54, 79, 60] Generated Node #2: [54, 79, 60] from Operation: 77-17=60 Current State: 85:[54, 79, 60], Operations: ['77-17=60'] Exploring Operation: 79-54=25, Resulting Numbers: [60, 25] Generated Node #3: [60, 25] from Operation: 79-54=25 Current State: 85:[60, 25], Operations: ['77-17=60', '79-54=25'] Exploring Operation: 60+25=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 50, 12, 75, 51 ]
26
[ "51-12=39", "50*39=1950", "1950/75=26" ]
Current State: 26:[50, 12, 75, 51], Operations: [] Exploring Operation: 51-12=39, Resulting Numbers: [50, 75, 39] Generated Node #2: [50, 75, 39] from Operation: 51-12=39 Current State: 26:[50, 75, 39], Operations: ['51-12=39'] Exploring Operation: 50*39=1950, Resulting Numbers: [75, 1950] Generated Node #3: [75, 1950] from Operation: 50*39=1950 Current State: 26:[75, 1950], Operations: ['51-12=39', '50*39=1950'] Exploring Operation: 1950/75=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 22, 90, 80, 66 ]
78
[ "90-22=68", "80+66=146", "146-68=78" ]
Current State: 78:[22, 90, 80, 66], Operations: [] Exploring Operation: 90-22=68, Resulting Numbers: [80, 66, 68] Generated Node #2: [80, 66, 68] from Operation: 90-22=68 Current State: 78:[80, 66, 68], Operations: ['90-22=68'] Exploring Operation: 80+66=146, Resulting Numbers: [68, 146] Generated Node #3: [68, 146] from Operation: 80+66=146 Current State: 78:[68, 146], Operations: ['90-22=68', '80+66=146'] Exploring Operation: 146-68=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 46, 32, 52, 59 ]
36
[ "59-46=13", "52/13=4", "32+4=36" ]
Current State: 36:[46, 32, 52, 59], Operations: [] Exploring Operation: 59-46=13, Resulting Numbers: [32, 52, 13] Generated Node #2: [32, 52, 13] from Operation: 59-46=13 Current State: 36:[32, 52, 13], Operations: ['59-46=13'] Exploring Operation: 52/13=4, Resulting Numbers: [32, 4] Generated Node #3: [32, 4] from Operation: 52/13=4 Current State: 36:[32, 4], Operations: ['59-46=13', '52/13=4'] Exploring Operation: 32+4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 69, 30, 19, 38 ]
80
[ "69+30=99", "38-19=19", "99-19=80" ]
Current State: 80:[69, 30, 19, 38], Operations: [] Exploring Operation: 69+30=99, Resulting Numbers: [19, 38, 99] Generated Node #2: [19, 38, 99] from Operation: 69+30=99 Current State: 80:[19, 38, 99], Operations: ['69+30=99'] Exploring Operation: 38-19=19, Resulting Numbers: [99, 19] Generated Node #3: [99, 19] from Operation: 38-19=19 Current State: 80:[99, 19], Operations: ['69+30=99', '38-19=19'] Exploring Operation: 99-19=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 91, 93, 89, 96 ]
94
[ "93+89=182", "182/91=2", "96-2=94" ]
Current State: 94:[91, 93, 89, 96], Operations: [] Exploring Operation: 93+89=182, Resulting Numbers: [91, 96, 182] Generated Node #2: [91, 96, 182] from Operation: 93+89=182 Current State: 94:[91, 96, 182], Operations: ['93+89=182'] Exploring Operation: 182/91=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 182/91=2 Current State: 94:[96, 2], Operations: ['93+89=182', '182/91=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 12, 30, 69, 71 ]
16
[ "30-12=18", "71-69=2", "18-2=16" ]
Current State: 16:[12, 30, 69, 71], Operations: [] Exploring Operation: 30-12=18, Resulting Numbers: [69, 71, 18] Generated Node #2: [69, 71, 18] from Operation: 30-12=18 Current State: 16:[69, 71, 18], Operations: ['30-12=18'] Exploring Operation: 71-69=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 71-69=2 Current State: 16:[18, 2], Operations: ['30-12=18', '71-69=2'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 48, 58, 2, 48 ]
36
[ "58-48=10", "48-2=46", "46-10=36" ]
Current State: 36:[48, 58, 2, 48], Operations: [] Exploring Operation: 58-48=10, Resulting Numbers: [2, 10] Generated Node #2: [2, 10] from Operation: 58-48=10 Current State: 36:[2, 10], Operations: ['58-48=10'] Exploring Operation: 48-2=46, Resulting Numbers: [10, 46] Generated Node #3: [10, 46] from Operation: 48-2=46 Current State: 36:[10, 46], Operations: ['58-48=10', '48-2=46'] Exploring Operation: 46-10=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 90, 7, 70, 68 ]
81
[ "90-7=83", "70-68=2", "83-2=81" ]
Current State: 81:[90, 7, 70, 68], Operations: [] Exploring Operation: 90-7=83, Resulting Numbers: [70, 68, 83] Generated Node #2: [70, 68, 83] from Operation: 90-7=83 Current State: 81:[70, 68, 83], Operations: ['90-7=83'] Exploring Operation: 70-68=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 70-68=2 Current State: 81:[83, 2], Operations: ['90-7=83', '70-68=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 38, 34, 88, 15 ]
37
[ "38-34=4", "88/4=22", "15+22=37" ]
Current State: 37:[38, 34, 88, 15], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [88, 15, 4] Generated Node #2: [88, 15, 4] from Operation: 38-34=4 Current State: 37:[88, 15, 4], Operations: ['38-34=4'] Exploring Operation: 88/4=22, Resulting Numbers: [15, 22] Generated Node #3: [15, 22] from Operation: 88/4=22 Current State: 37:[15, 22], Operations: ['38-34=4', '88/4=22'] Exploring Operation: 15+22=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 96, 95, 72, 24 ]
93
[ "72-24=48", "96/48=2", "95-2=93" ]
Current State: 93:[96, 95, 72, 24], Operations: [] Exploring Operation: 72-24=48, Resulting Numbers: [96, 95, 48] Generated Node #2: [96, 95, 48] from Operation: 72-24=48 Current State: 93:[96, 95, 48], Operations: ['72-24=48'] Exploring Operation: 96/48=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 96/48=2 Current State: 93:[95, 2], Operations: ['72-24=48', '96/48=2'] Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 35, 67, 52, 40 ]
65
[ "67-35=32", "52*40=2080", "2080/32=65" ]
Current State: 65:[35, 67, 52, 40], Operations: [] Exploring Operation: 67-35=32, Resulting Numbers: [52, 40, 32] Generated Node #2: [52, 40, 32] from Operation: 67-35=32 Current State: 65:[52, 40, 32], Operations: ['67-35=32'] Exploring Operation: 52*40=2080, Resulting Numbers: [32, 2080] Generated Node #3: [32, 2080] from Operation: 52*40=2080 Current State: 65:[32, 2080], Operations: ['67-35=32', '52*40=2080'] Exploring Operation: 2080/32=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 22, 44, 65, 76 ]
87
[ "44/22=2", "76*2=152", "152-65=87" ]
Current State: 87:[22, 44, 65, 76], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [65, 76, 2] Generated Node #2: [65, 76, 2] from Operation: 44/22=2 Current State: 87:[65, 76, 2], Operations: ['44/22=2'] Exploring Operation: 76*2=152, Resulting Numbers: [65, 152] Generated Node #3: [65, 152] from Operation: 76*2=152 Current State: 87:[65, 152], Operations: ['44/22=2', '76*2=152'] Exploring Operation: 152-65=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 32, 58, 16, 93 ]
37
[ "32/16=2", "93-58=35", "2+35=37" ]
Current State: 37:[32, 58, 16, 93], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [58, 93, 2] Generated Node #2: [58, 93, 2] from Operation: 32/16=2 Current State: 37:[58, 93, 2], Operations: ['32/16=2'] Exploring Operation: 93-58=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 93-58=35 Current State: 37:[2, 35], Operations: ['32/16=2', '93-58=35'] Exploring Operation: 2+35=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 6, 92, 2, 85 ]
100
[ "92-2=90", "90/6=15", "85+15=100" ]
Current State: 100:[6, 92, 2, 85], Operations: [] Exploring Operation: 92-2=90, Resulting Numbers: [6, 85, 90] Generated Node #2: [6, 85, 90] from Operation: 92-2=90 Current State: 100:[6, 85, 90], Operations: ['92-2=90'] Exploring Operation: 90/6=15, Resulting Numbers: [85, 15] Generated Node #3: [85, 15] from Operation: 90/6=15 Current State: 100:[85, 15], Operations: ['92-2=90', '90/6=15'] Exploring Operation: 85+15=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 46, 48, 6, 43 ]
55
[ "48-46=2", "6*2=12", "43+12=55" ]
Current State: 55:[46, 48, 6, 43], Operations: [] Exploring Operation: 48-46=2, Resulting Numbers: [6, 43, 2] Generated Node #2: [6, 43, 2] from Operation: 48-46=2 Current State: 55:[6, 43, 2], Operations: ['48-46=2'] Exploring Operation: 6*2=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 6*2=12 Current State: 55:[43, 12], Operations: ['48-46=2', '6*2=12'] Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 10, 83, 94, 99 ]
68
[ "83-10=73", "99-94=5", "73-5=68" ]
Current State: 68:[10, 83, 94, 99], Operations: [] Exploring Operation: 83-10=73, Resulting Numbers: [94, 99, 73] Generated Node #2: [94, 99, 73] from Operation: 83-10=73 Current State: 68:[94, 99, 73], Operations: ['83-10=73'] Exploring Operation: 99-94=5, Resulting Numbers: [73, 5] Generated Node #3: [73, 5] from Operation: 99-94=5 Current State: 68:[73, 5], Operations: ['83-10=73', '99-94=5'] Exploring Operation: 73-5=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 47, 71, 89, 7 ]
77
[ "89-47=42", "42/7=6", "71+6=77" ]
Current State: 77:[47, 71, 89, 7], Operations: [] Exploring Operation: 89-47=42, Resulting Numbers: [71, 7, 42] Generated Node #2: [71, 7, 42] from Operation: 89-47=42 Current State: 77:[71, 7, 42], Operations: ['89-47=42'] Exploring Operation: 42/7=6, Resulting Numbers: [71, 6] Generated Node #3: [71, 6] from Operation: 42/7=6 Current State: 77:[71, 6], Operations: ['89-47=42', '42/7=6'] Exploring Operation: 71+6=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 20, 98, 20, 24 ]
98
[ "20-20=0", "24*0=0", "98+0=98" ]
Current State: 98:[20, 98, 20, 24], Operations: [] Exploring Operation: 20-20=0, Resulting Numbers: [98, 24, 0] Generated Node #2: [98, 24, 0] from Operation: 20-20=0 Current State: 98:[98, 24, 0], Operations: ['20-20=0'] Exploring Operation: 24*0=0, Resulting Numbers: [98, 0] Generated Node #3: [98, 0] from Operation: 24*0=0 Current State: 98:[98, 0], Operations: ['20-20=0', '24*0=0'] Exploring Operation: 98+0=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 80, 21, 8, 11 ]
78
[ "80-21=59", "8+11=19", "59+19=78" ]
Current State: 78:[80, 21, 8, 11], Operations: [] Exploring Operation: 80-21=59, Resulting Numbers: [8, 11, 59] Generated Node #2: [8, 11, 59] from Operation: 80-21=59 Current State: 78:[8, 11, 59], Operations: ['80-21=59'] Exploring Operation: 8+11=19, Resulting Numbers: [59, 19] Generated Node #3: [59, 19] from Operation: 8+11=19 Current State: 78:[59, 19], Operations: ['80-21=59', '8+11=19'] Exploring Operation: 59+19=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 28, 56, 94, 53 ]
39
[ "56/28=2", "94-53=41", "41-2=39" ]
Current State: 39:[28, 56, 94, 53], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [94, 53, 2] Generated Node #2: [94, 53, 2] from Operation: 56/28=2 Current State: 39:[94, 53, 2], Operations: ['56/28=2'] Exploring Operation: 94-53=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 94-53=41 Current State: 39:[2, 41], Operations: ['56/28=2', '94-53=41'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 87, 63, 90, 19 ]
47
[ "87-63=24", "90-19=71", "71-24=47" ]
Current State: 47:[87, 63, 90, 19], Operations: [] Exploring Operation: 87-63=24, Resulting Numbers: [90, 19, 24] Generated Node #2: [90, 19, 24] from Operation: 87-63=24 Current State: 47:[90, 19, 24], Operations: ['87-63=24'] Exploring Operation: 90-19=71, Resulting Numbers: [24, 71] Generated Node #3: [24, 71] from Operation: 90-19=71 Current State: 47:[24, 71], Operations: ['87-63=24', '90-19=71'] Exploring Operation: 71-24=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 20, 14, 73, 98 ]
70
[ "20+73=93", "98-93=5", "14*5=70" ]
Current State: 70:[20, 14, 73, 98], Operations: [] Exploring Operation: 20+73=93, Resulting Numbers: [14, 98, 93] Generated Node #2: [14, 98, 93] from Operation: 20+73=93 Current State: 70:[14, 98, 93], Operations: ['20+73=93'] Exploring Operation: 98-93=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 98-93=5 Current State: 70:[14, 5], Operations: ['20+73=93', '98-93=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 30, 70, 72, 63 ]
91
[ "30+70=100", "72-63=9", "100-9=91" ]
Current State: 91:[30, 70, 72, 63], Operations: [] Exploring Operation: 30+70=100, Resulting Numbers: [72, 63, 100] Generated Node #2: [72, 63, 100] from Operation: 30+70=100 Current State: 91:[72, 63, 100], Operations: ['30+70=100'] Exploring Operation: 72-63=9, Resulting Numbers: [100, 9] Generated Node #3: [100, 9] from Operation: 72-63=9 Current State: 91:[100, 9], Operations: ['30+70=100', '72-63=9'] Exploring Operation: 100-9=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 13, 87, 52, 16 ]
32
[ "13+87=100", "52+16=68", "100-68=32" ]
Current State: 32:[13, 87, 52, 16], Operations: [] Exploring Operation: 13+87=100, Resulting Numbers: [52, 16, 100] Generated Node #2: [52, 16, 100] from Operation: 13+87=100 Current State: 32:[52, 16, 100], Operations: ['13+87=100'] Exploring Operation: 52+16=68, Resulting Numbers: [100, 68] Generated Node #3: [100, 68] from Operation: 52+16=68 Current State: 32:[100, 68], Operations: ['13+87=100', '52+16=68'] Exploring Operation: 100-68=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 33, 2, 8, 69 ]
22
[ "33-8=25", "69-25=44", "44/2=22" ]
Current State: 22:[33, 2, 8, 69], Operations: [] Exploring Operation: 33-8=25, Resulting Numbers: [2, 69, 25] Generated Node #2: [2, 69, 25] from Operation: 33-8=25 Current State: 22:[2, 69, 25], Operations: ['33-8=25'] Exploring Operation: 69-25=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 69-25=44 Current State: 22:[2, 44], Operations: ['33-8=25', '69-25=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 13, 50, 90, 95 ]
60
[ "13+95=108", "50*108=5400", "5400/90=60" ]
Current State: 60:[13, 50, 90, 95], Operations: [] Exploring Operation: 13+95=108, Resulting Numbers: [50, 90, 108] Generated Node #2: [50, 90, 108] from Operation: 13+95=108 Current State: 60:[50, 90, 108], Operations: ['13+95=108'] Exploring Operation: 50*108=5400, Resulting Numbers: [90, 5400] Generated Node #3: [90, 5400] from Operation: 50*108=5400 Current State: 60:[90, 5400], Operations: ['13+95=108', '50*108=5400'] Exploring Operation: 5400/90=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 75, 39, 81, 8 ]
41
[ "75+39=114", "81-8=73", "114-73=41" ]
Current State: 41:[75, 39, 81, 8], Operations: [] Exploring Operation: 75+39=114, Resulting Numbers: [81, 8, 114] Generated Node #2: [81, 8, 114] from Operation: 75+39=114 Current State: 41:[81, 8, 114], Operations: ['75+39=114'] Exploring Operation: 81-8=73, Resulting Numbers: [114, 73] Generated Node #3: [114, 73] from Operation: 81-8=73 Current State: 41:[114, 73], Operations: ['75+39=114', '81-8=73'] Exploring Operation: 114-73=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 72, 75, 5, 56 ]
96
[ "72+75=147", "56-5=51", "147-51=96" ]
Current State: 96:[72, 75, 5, 56], Operations: [] Exploring Operation: 72+75=147, Resulting Numbers: [5, 56, 147] Generated Node #2: [5, 56, 147] from Operation: 72+75=147 Current State: 96:[5, 56, 147], Operations: ['72+75=147'] Exploring Operation: 56-5=51, Resulting Numbers: [147, 51] Generated Node #3: [147, 51] from Operation: 56-5=51 Current State: 96:[147, 51], Operations: ['72+75=147', '56-5=51'] Exploring Operation: 147-51=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4