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
[ 61, 11, 23, 9 ]
61
[ "61-23=38", "11*9=99", "99-38=61" ]
Current State: 61:[61, 11, 23, 9], Operations: [] Exploring Operation: 61-23=38, Resulting Numbers: [11, 9, 38] Generated Node #2: [11, 9, 38] from Operation: 61-23=38 Current State: 61:[11, 9, 38], Operations: ['61-23=38'] Exploring Operation: 11*9=99, Resulting Numbers: [38, 99] Generated Node #3: [38, 99] from Operation: 11*9=99 Current State: 61:[38, 99], Operations: ['61-23=38', '11*9=99'] Exploring Operation: 99-38=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 47, 20, 56, 43 ]
32
[ "47+20=67", "56+43=99", "99-67=32" ]
Current State: 32:[47, 20, 56, 43], Operations: [] Exploring Operation: 47+20=67, Resulting Numbers: [56, 43, 67] Generated Node #2: [56, 43, 67] from Operation: 47+20=67 Current State: 32:[56, 43, 67], Operations: ['47+20=67'] Exploring Operation: 56+43=99, Resulting Numbers: [67, 99] Generated Node #3: [67, 99] from Operation: 56+43=99 Current State: 32:[67, 99], Operations: ['47+20=67', '56+43=99'] Exploring Operation: 99-67=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 50, 2, 4, 40 ]
43
[ "50-4=46", "40+46=86", "86/2=43" ]
Current State: 43:[50, 2, 4, 40], Operations: [] Exploring Operation: 50-4=46, Resulting Numbers: [2, 40, 46] Generated Node #2: [2, 40, 46] from Operation: 50-4=46 Current State: 43:[2, 40, 46], Operations: ['50-4=46'] Exploring Operation: 40+46=86, Resulting Numbers: [2, 86] Generated Node #3: [2, 86] from Operation: 40+46=86 Current State: 43:[2, 86], Operations: ['50-4=46', '40+46=86'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 45, 24, 95, 1 ]
75
[ "45-24=21", "95+1=96", "96-21=75" ]
Current State: 75:[45, 24, 95, 1], Operations: [] Exploring Operation: 45-24=21, Resulting Numbers: [95, 1, 21] Generated Node #2: [95, 1, 21] from Operation: 45-24=21 Current State: 75:[95, 1, 21], Operations: ['45-24=21'] Exploring Operation: 95+1=96, Resulting Numbers: [21, 96] Generated Node #3: [21, 96] from Operation: 95+1=96 Current State: 75:[21, 96], Operations: ['45-24=21', '95+1=96'] Exploring Operation: 96-21=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 29, 19, 29, 89 ]
71
[ "29/29=1", "89-19=70", "1+70=71" ]
Current State: 71:[29, 19, 29, 89], Operations: [] Exploring Operation: 29/29=1, Resulting Numbers: [19, 89, 1] Generated Node #2: [19, 89, 1] from Operation: 29/29=1 Current State: 71:[19, 89, 1], Operations: ['29/29=1'] Exploring Operation: 89-19=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 89-19=70 Current State: 71:[1, 70], Operations: ['29/29=1', '89-19=70'] Exploring Operation: 1+70=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 46, 92, 63, 41 ]
11
[ "92/46=2", "63-41=22", "22/2=11" ]
Current State: 11:[46, 92, 63, 41], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [63, 41, 2] Generated Node #2: [63, 41, 2] from Operation: 92/46=2 Current State: 11:[63, 41, 2], Operations: ['92/46=2'] Exploring Operation: 63-41=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 63-41=22 Current State: 11:[2, 22], Operations: ['92/46=2', '63-41=22'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 44, 62, 60 ]
70
[ "60-44=16", "16/2=8", "62+8=70" ]
Current State: 70:[2, 44, 62, 60], Operations: [] Exploring Operation: 60-44=16, Resulting Numbers: [2, 62, 16] Generated Node #2: [2, 62, 16] from Operation: 60-44=16 Current State: 70:[2, 62, 16], Operations: ['60-44=16'] Exploring Operation: 16/2=8, Resulting Numbers: [62, 8] Generated Node #3: [62, 8] from Operation: 16/2=8 Current State: 70:[62, 8], Operations: ['60-44=16', '16/2=8'] Exploring Operation: 62+8=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 63, 14, 76, 69 ]
35
[ "76-69=7", "14*7=98", "98-63=35" ]
Current State: 35:[63, 14, 76, 69], Operations: [] Exploring Operation: 76-69=7, Resulting Numbers: [63, 14, 7] Generated Node #2: [63, 14, 7] from Operation: 76-69=7 Current State: 35:[63, 14, 7], Operations: ['76-69=7'] Exploring Operation: 14*7=98, Resulting Numbers: [63, 98] Generated Node #3: [63, 98] from Operation: 14*7=98 Current State: 35:[63, 98], Operations: ['76-69=7', '14*7=98'] Exploring Operation: 98-63=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 37, 35, 84, 35 ]
15
[ "37*35=1295", "1295-35=1260", "1260/84=15" ]
Current State: 15:[37, 35, 84, 35], Operations: [] Exploring Operation: 37*35=1295, Resulting Numbers: [84, 1295] Generated Node #2: [84, 1295] from Operation: 37*35=1295 Current State: 15:[84, 1295], Operations: ['37*35=1295'] Exploring Operation: 1295-35=1260, Resulting Numbers: [84, 1260] Generated Node #3: [84, 1260] from Operation: 1295-35=1260 Current State: 15:[84, 1260], Operations: ['37*35=1295', '1295-35=1260'] Exploring Operation: 1260/84=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 78, 38, 91, 45 ]
86
[ "78-38=40", "91-45=46", "40+46=86" ]
Current State: 86:[78, 38, 91, 45], Operations: [] Exploring Operation: 78-38=40, Resulting Numbers: [91, 45, 40] Generated Node #2: [91, 45, 40] from Operation: 78-38=40 Current State: 86:[91, 45, 40], Operations: ['78-38=40'] Exploring Operation: 91-45=46, Resulting Numbers: [40, 46] Generated Node #3: [40, 46] from Operation: 91-45=46 Current State: 86:[40, 46], Operations: ['78-38=40', '91-45=46'] Exploring Operation: 40+46=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 95, 30, 8, 94 ]
51
[ "95+94=189", "30*8=240", "240-189=51" ]
Current State: 51:[95, 30, 8, 94], Operations: [] Exploring Operation: 95+94=189, Resulting Numbers: [30, 8, 189] Generated Node #2: [30, 8, 189] from Operation: 95+94=189 Current State: 51:[30, 8, 189], Operations: ['95+94=189'] Exploring Operation: 30*8=240, Resulting Numbers: [189, 240] Generated Node #3: [189, 240] from Operation: 30*8=240 Current State: 51:[189, 240], Operations: ['95+94=189', '30*8=240'] Exploring Operation: 240-189=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 5, 23, 3, 48 ]
56
[ "5*3=15", "23+48=71", "71-15=56" ]
Current State: 56:[5, 23, 3, 48], Operations: [] Exploring Operation: 5*3=15, Resulting Numbers: [23, 48, 15] Generated Node #2: [23, 48, 15] from Operation: 5*3=15 Current State: 56:[23, 48, 15], Operations: ['5*3=15'] Exploring Operation: 23+48=71, Resulting Numbers: [15, 71] Generated Node #3: [15, 71] from Operation: 23+48=71 Current State: 56:[15, 71], Operations: ['5*3=15', '23+48=71'] Exploring Operation: 71-15=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 53, 8, 79 ]
33
[ "8/2=4", "53+79=132", "132/4=33" ]
Current State: 33:[2, 53, 8, 79], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [53, 79, 4] Generated Node #2: [53, 79, 4] from Operation: 8/2=4 Current State: 33:[53, 79, 4], Operations: ['8/2=4'] Exploring Operation: 53+79=132, Resulting Numbers: [4, 132] Generated Node #3: [4, 132] from Operation: 53+79=132 Current State: 33:[4, 132], Operations: ['8/2=4', '53+79=132'] Exploring Operation: 132/4=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 8, 40, 48, 3 ]
32
[ "8+40=48", "48/3=16", "48-16=32" ]
Current State: 32:[8, 40, 48, 3], Operations: [] Exploring Operation: 8+40=48, Resulting Numbers: [48, 3, 48] Generated Node #2: [48, 3, 48] from Operation: 8+40=48 Current State: 32:[48, 3, 48], Operations: ['8+40=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,32 equal: Goal Reached Exploring Operation: 48-16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 60, 38, 21, 20 ]
56
[ "60/20=3", "38+21=59", "59-3=56" ]
Current State: 56:[60, 38, 21, 20], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [38, 21, 3] Generated Node #2: [38, 21, 3] from Operation: 60/20=3 Current State: 56:[38, 21, 3], Operations: ['60/20=3'] Exploring Operation: 38+21=59, Resulting Numbers: [3, 59] Generated Node #3: [3, 59] from Operation: 38+21=59 Current State: 56:[3, 59], Operations: ['60/20=3', '38+21=59'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 71, 60, 32, 8 ]
51
[ "71-60=11", "32+8=40", "11+40=51" ]
Current State: 51:[71, 60, 32, 8], Operations: [] Exploring Operation: 71-60=11, Resulting Numbers: [32, 8, 11] Generated Node #2: [32, 8, 11] from Operation: 71-60=11 Current State: 51:[32, 8, 11], Operations: ['71-60=11'] Exploring Operation: 32+8=40, Resulting Numbers: [11, 40] Generated Node #3: [11, 40] from Operation: 32+8=40 Current State: 51:[11, 40], Operations: ['71-60=11', '32+8=40'] Exploring Operation: 11+40=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 17, 25, 89, 17 ]
30
[ "17+25=42", "89-17=72", "72-42=30" ]
Current State: 30:[17, 25, 89, 17], Operations: [] Exploring Operation: 17+25=42, Resulting Numbers: [89, 42] Generated Node #2: [89, 42] from Operation: 17+25=42 Current State: 30:[89, 42], Operations: ['17+25=42'] Exploring Operation: 89-17=72, Resulting Numbers: [42, 72] Generated Node #3: [42, 72] from Operation: 89-17=72 Current State: 30:[42, 72], Operations: ['17+25=42', '89-17=72'] Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 24, 68, 32, 35 ]
89
[ "24+68=92", "35-32=3", "92-3=89" ]
Current State: 89:[24, 68, 32, 35], Operations: [] Exploring Operation: 24+68=92, Resulting Numbers: [32, 35, 92] Generated Node #2: [32, 35, 92] from Operation: 24+68=92 Current State: 89:[32, 35, 92], Operations: ['24+68=92'] Exploring Operation: 35-32=3, Resulting Numbers: [92, 3] Generated Node #3: [92, 3] from Operation: 35-32=3 Current State: 89:[92, 3], Operations: ['24+68=92', '35-32=3'] Exploring Operation: 92-3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 2, 49, 28, 77 ]
11
[ "2*28=56", "56-49=7", "77/7=11" ]
Current State: 11:[2, 49, 28, 77], Operations: [] Exploring Operation: 2*28=56, Resulting Numbers: [49, 77, 56] Generated Node #2: [49, 77, 56] from Operation: 2*28=56 Current State: 11:[49, 77, 56], Operations: ['2*28=56'] Exploring Operation: 56-49=7, Resulting Numbers: [77, 7] Generated Node #3: [77, 7] from Operation: 56-49=7 Current State: 11:[77, 7], Operations: ['2*28=56', '56-49=7'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 27, 1, 68, 24 ]
64
[ "27+1=28", "68+24=92", "92-28=64" ]
Current State: 64:[27, 1, 68, 24], Operations: [] Exploring Operation: 27+1=28, Resulting Numbers: [68, 24, 28] Generated Node #2: [68, 24, 28] from Operation: 27+1=28 Current State: 64:[68, 24, 28], Operations: ['27+1=28'] Exploring Operation: 68+24=92, Resulting Numbers: [28, 92] Generated Node #3: [28, 92] from Operation: 68+24=92 Current State: 64:[28, 92], Operations: ['27+1=28', '68+24=92'] Exploring Operation: 92-28=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 36, 45, 21, 84 ]
56
[ "36+84=120", "21*120=2520", "2520/45=56" ]
Current State: 56:[36, 45, 21, 84], Operations: [] Exploring Operation: 36+84=120, Resulting Numbers: [45, 21, 120] Generated Node #2: [45, 21, 120] from Operation: 36+84=120 Current State: 56:[45, 21, 120], Operations: ['36+84=120'] Exploring Operation: 21*120=2520, Resulting Numbers: [45, 2520] Generated Node #3: [45, 2520] from Operation: 21*120=2520 Current State: 56:[45, 2520], Operations: ['36+84=120', '21*120=2520'] Exploring Operation: 2520/45=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 8, 6, 14, 4 ]
54
[ "8-6=2", "14*4=56", "56-2=54" ]
Current State: 54:[8, 6, 14, 4], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [14, 4, 2] Generated Node #2: [14, 4, 2] from Operation: 8-6=2 Current State: 54:[14, 4, 2], Operations: ['8-6=2'] Exploring Operation: 14*4=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 14*4=56 Current State: 54:[2, 56], Operations: ['8-6=2', '14*4=56'] Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 83, 45, 42, 56 ]
96
[ "83+45=128", "42*128=5376", "5376/56=96" ]
Current State: 96:[83, 45, 42, 56], Operations: [] Exploring Operation: 83+45=128, Resulting Numbers: [42, 56, 128] Generated Node #2: [42, 56, 128] from Operation: 83+45=128 Current State: 96:[42, 56, 128], Operations: ['83+45=128'] Exploring Operation: 42*128=5376, Resulting Numbers: [56, 5376] Generated Node #3: [56, 5376] from Operation: 42*128=5376 Current State: 96:[56, 5376], Operations: ['83+45=128', '42*128=5376'] Exploring Operation: 5376/56=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 17, 4, 10, 10 ]
66
[ "17-10=7", "10*7=70", "70-4=66" ]
Current State: 66:[17, 4, 10, 10], Operations: [] Exploring Operation: 17-10=7, Resulting Numbers: [4, 7] Generated Node #2: [4, 7] from Operation: 17-10=7 Current State: 66:[4, 7], Operations: ['17-10=7'] Exploring Operation: 10*7=70, Resulting Numbers: [4, 70] Generated Node #3: [4, 70] from Operation: 10*7=70 Current State: 66:[4, 70], Operations: ['17-10=7', '10*7=70'] Exploring Operation: 70-4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 7, 38, 59, 9 ]
71
[ "7*59=413", "38*9=342", "413-342=71" ]
Current State: 71:[7, 38, 59, 9], Operations: [] Exploring Operation: 7*59=413, Resulting Numbers: [38, 9, 413] Generated Node #2: [38, 9, 413] from Operation: 7*59=413 Current State: 71:[38, 9, 413], Operations: ['7*59=413'] Exploring Operation: 38*9=342, Resulting Numbers: [413, 342] Generated Node #3: [413, 342] from Operation: 38*9=342 Current State: 71:[413, 342], Operations: ['7*59=413', '38*9=342'] Exploring Operation: 413-342=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 75, 88, 49, 20 ]
94
[ "75+88=163", "49+20=69", "163-69=94" ]
Current State: 94:[75, 88, 49, 20], Operations: [] Exploring Operation: 75+88=163, Resulting Numbers: [49, 20, 163] Generated Node #2: [49, 20, 163] from Operation: 75+88=163 Current State: 94:[49, 20, 163], Operations: ['75+88=163'] Exploring Operation: 49+20=69, Resulting Numbers: [163, 69] Generated Node #3: [163, 69] from Operation: 49+20=69 Current State: 94:[163, 69], Operations: ['75+88=163', '49+20=69'] Exploring Operation: 163-69=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 21, 32, 77, 14 ]
21
[ "32-21=11", "77/11=7", "14+7=21" ]
Current State: 21:[21, 32, 77, 14], Operations: [] Exploring Operation: 32-21=11, Resulting Numbers: [77, 14, 11] Generated Node #2: [77, 14, 11] from Operation: 32-21=11 Current State: 21:[77, 14, 11], Operations: ['32-21=11'] Exploring Operation: 77/11=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 77/11=7 Current State: 21:[14, 7], Operations: ['32-21=11', '77/11=7'] Exploring Operation: 14+7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 45, 93, 39, 41 ]
50
[ "93-45=48", "41-39=2", "48+2=50" ]
Current State: 50:[45, 93, 39, 41], Operations: [] Exploring Operation: 93-45=48, Resulting Numbers: [39, 41, 48] Generated Node #2: [39, 41, 48] from Operation: 93-45=48 Current State: 50:[39, 41, 48], Operations: ['93-45=48'] Exploring Operation: 41-39=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 41-39=2 Current State: 50:[48, 2], Operations: ['93-45=48', '41-39=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 56, 44, 61, 16 ]
12
[ "61-56=5", "44+16=60", "60/5=12" ]
Current State: 12:[56, 44, 61, 16], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [44, 16, 5] Generated Node #2: [44, 16, 5] from Operation: 61-56=5 Current State: 12:[44, 16, 5], Operations: ['61-56=5'] Exploring Operation: 44+16=60, Resulting Numbers: [5, 60] Generated Node #3: [5, 60] from Operation: 44+16=60 Current State: 12:[5, 60], Operations: ['61-56=5', '44+16=60'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 34, 58, 43, 17 ]
84
[ "58-34=24", "43+17=60", "24+60=84" ]
Current State: 84:[34, 58, 43, 17], Operations: [] Exploring Operation: 58-34=24, Resulting Numbers: [43, 17, 24] Generated Node #2: [43, 17, 24] from Operation: 58-34=24 Current State: 84:[43, 17, 24], Operations: ['58-34=24'] Exploring Operation: 43+17=60, Resulting Numbers: [24, 60] Generated Node #3: [24, 60] from Operation: 43+17=60 Current State: 84:[24, 60], Operations: ['58-34=24', '43+17=60'] Exploring Operation: 24+60=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 97, 48, 54, 31 ]
11
[ "97-31=66", "54-48=6", "66/6=11" ]
Current State: 11:[97, 48, 54, 31], Operations: [] Exploring Operation: 97-31=66, Resulting Numbers: [48, 54, 66] Generated Node #2: [48, 54, 66] from Operation: 97-31=66 Current State: 11:[48, 54, 66], Operations: ['97-31=66'] Exploring Operation: 54-48=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 54-48=6 Current State: 11:[66, 6], Operations: ['97-31=66', '54-48=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 44, 54, 56, 59 ]
37
[ "56-54=2", "44/2=22", "59-22=37" ]
Current State: 37:[44, 54, 56, 59], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [44, 59, 2] Generated Node #2: [44, 59, 2] from Operation: 56-54=2 Current State: 37:[44, 59, 2], Operations: ['56-54=2'] Exploring Operation: 44/2=22, Resulting Numbers: [59, 22] Generated Node #3: [59, 22] from Operation: 44/2=22 Current State: 37:[59, 22], Operations: ['56-54=2', '44/2=22'] Exploring Operation: 59-22=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 94, 1, 92, 87 ]
84
[ "94+1=95", "92+87=179", "179-95=84" ]
Current State: 84:[94, 1, 92, 87], Operations: [] Exploring Operation: 94+1=95, Resulting Numbers: [92, 87, 95] Generated Node #2: [92, 87, 95] from Operation: 94+1=95 Current State: 84:[92, 87, 95], Operations: ['94+1=95'] Exploring Operation: 92+87=179, Resulting Numbers: [95, 179] Generated Node #3: [95, 179] from Operation: 92+87=179 Current State: 84:[95, 179], Operations: ['94+1=95', '92+87=179'] Exploring Operation: 179-95=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 9, 12, 39, 3 ]
78
[ "39-9=30", "3*30=90", "90-12=78" ]
Current State: 78:[9, 12, 39, 3], Operations: [] Exploring Operation: 39-9=30, Resulting Numbers: [12, 3, 30] Generated Node #2: [12, 3, 30] from Operation: 39-9=30 Current State: 78:[12, 3, 30], Operations: ['39-9=30'] Exploring Operation: 3*30=90, Resulting Numbers: [12, 90] Generated Node #3: [12, 90] from Operation: 3*30=90 Current State: 78:[12, 90], Operations: ['39-9=30', '3*30=90'] Exploring Operation: 90-12=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 14, 83, 87, 68 ]
88
[ "83-14=69", "87-68=19", "69+19=88" ]
Current State: 88:[14, 83, 87, 68], Operations: [] Exploring Operation: 83-14=69, Resulting Numbers: [87, 68, 69] Generated Node #2: [87, 68, 69] from Operation: 83-14=69 Current State: 88:[87, 68, 69], Operations: ['83-14=69'] Exploring Operation: 87-68=19, Resulting Numbers: [69, 19] Generated Node #3: [69, 19] from Operation: 87-68=19 Current State: 88:[69, 19], Operations: ['83-14=69', '87-68=19'] Exploring Operation: 69+19=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 6, 92, 10, 32 ]
94
[ "6+10=16", "32/16=2", "92+2=94" ]
Current State: 94:[6, 92, 10, 32], Operations: [] Exploring Operation: 6+10=16, Resulting Numbers: [92, 32, 16] Generated Node #2: [92, 32, 16] from Operation: 6+10=16 Current State: 94:[92, 32, 16], Operations: ['6+10=16'] Exploring Operation: 32/16=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 32/16=2 Current State: 94:[92, 2], Operations: ['6+10=16', '32/16=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 81, 16, 67, 96 ]
48
[ "81-16=65", "67-65=2", "96/2=48" ]
Current State: 48:[81, 16, 67, 96], Operations: [] Exploring Operation: 81-16=65, Resulting Numbers: [67, 96, 65] Generated Node #2: [67, 96, 65] from Operation: 81-16=65 Current State: 48:[67, 96, 65], Operations: ['81-16=65'] Exploring Operation: 67-65=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 67-65=2 Current State: 48:[96, 2], Operations: ['81-16=65', '67-65=2'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 9, 64, 7, 48 ]
47
[ "9*7=63", "64-48=16", "63-16=47" ]
Current State: 47:[9, 64, 7, 48], Operations: [] Exploring Operation: 9*7=63, Resulting Numbers: [64, 48, 63] Generated Node #2: [64, 48, 63] from Operation: 9*7=63 Current State: 47:[64, 48, 63], Operations: ['9*7=63'] Exploring Operation: 64-48=16, Resulting Numbers: [63, 16] Generated Node #3: [63, 16] from Operation: 64-48=16 Current State: 47:[63, 16], Operations: ['9*7=63', '64-48=16'] Exploring Operation: 63-16=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 7, 90, 33, 6 ]
55
[ "7+33=40", "90/6=15", "40+15=55" ]
Current State: 55:[7, 90, 33, 6], Operations: [] Exploring Operation: 7+33=40, Resulting Numbers: [90, 6, 40] Generated Node #2: [90, 6, 40] from Operation: 7+33=40 Current State: 55:[90, 6, 40], Operations: ['7+33=40'] Exploring Operation: 90/6=15, Resulting Numbers: [40, 15] Generated Node #3: [40, 15] from Operation: 90/6=15 Current State: 55:[40, 15], Operations: ['7+33=40', '90/6=15'] Exploring Operation: 40+15=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 35, 17, 51, 4 ]
85
[ "35*51=1785", "17+4=21", "1785/21=85" ]
Current State: 85:[35, 17, 51, 4], Operations: [] Exploring Operation: 35*51=1785, Resulting Numbers: [17, 4, 1785] Generated Node #2: [17, 4, 1785] from Operation: 35*51=1785 Current State: 85:[17, 4, 1785], Operations: ['35*51=1785'] Exploring Operation: 17+4=21, Resulting Numbers: [1785, 21] Generated Node #3: [1785, 21] from Operation: 17+4=21 Current State: 85:[1785, 21], Operations: ['35*51=1785', '17+4=21'] Exploring Operation: 1785/21=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 32, 76, 54, 44 ]
74
[ "54-32=22", "44/22=2", "76-2=74" ]
Current State: 74:[32, 76, 54, 44], Operations: [] Exploring Operation: 54-32=22, Resulting Numbers: [76, 44, 22] Generated Node #2: [76, 44, 22] from Operation: 54-32=22 Current State: 74:[76, 44, 22], Operations: ['54-32=22'] Exploring Operation: 44/22=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 44/22=2 Current State: 74:[76, 2], Operations: ['54-32=22', '44/22=2'] Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 96, 77, 89, 67 ]
56
[ "96-89=7", "77/7=11", "67-11=56" ]
Current State: 56:[96, 77, 89, 67], Operations: [] Exploring Operation: 96-89=7, Resulting Numbers: [77, 67, 7] Generated Node #2: [77, 67, 7] from Operation: 96-89=7 Current State: 56:[77, 67, 7], Operations: ['96-89=7'] Exploring Operation: 77/7=11, Resulting Numbers: [67, 11] Generated Node #3: [67, 11] from Operation: 77/7=11 Current State: 56:[67, 11], Operations: ['96-89=7', '77/7=11'] Exploring Operation: 67-11=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 87, 45, 95, 90 ]
37
[ "87-45=42", "95-90=5", "42-5=37" ]
Current State: 37:[87, 45, 95, 90], Operations: [] Exploring Operation: 87-45=42, Resulting Numbers: [95, 90, 42] Generated Node #2: [95, 90, 42] from Operation: 87-45=42 Current State: 37:[95, 90, 42], Operations: ['87-45=42'] Exploring Operation: 95-90=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 95-90=5 Current State: 37:[42, 5], Operations: ['87-45=42', '95-90=5'] Exploring Operation: 42-5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 79, 85, 45 ]
21
[ "72+79=151", "85+45=130", "151-130=21" ]
Current State: 21:[72, 79, 85, 45], Operations: [] Exploring Operation: 72+79=151, Resulting Numbers: [85, 45, 151] Generated Node #2: [85, 45, 151] from Operation: 72+79=151 Current State: 21:[85, 45, 151], Operations: ['72+79=151'] Exploring Operation: 85+45=130, Resulting Numbers: [151, 130] Generated Node #3: [151, 130] from Operation: 85+45=130 Current State: 21:[151, 130], Operations: ['72+79=151', '85+45=130'] Exploring Operation: 151-130=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 5, 96, 66, 21 ]
14
[ "5+96=101", "66+21=87", "101-87=14" ]
Current State: 14:[5, 96, 66, 21], Operations: [] Exploring Operation: 5+96=101, Resulting Numbers: [66, 21, 101] Generated Node #2: [66, 21, 101] from Operation: 5+96=101 Current State: 14:[66, 21, 101], Operations: ['5+96=101'] Exploring Operation: 66+21=87, Resulting Numbers: [101, 87] Generated Node #3: [101, 87] from Operation: 66+21=87 Current State: 14:[101, 87], Operations: ['5+96=101', '66+21=87'] Exploring Operation: 101-87=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 2, 20, 71 ]
52
[ "13+20=33", "71+33=104", "104/2=52" ]
Current State: 52:[13, 2, 20, 71], Operations: [] Exploring Operation: 13+20=33, Resulting Numbers: [2, 71, 33] Generated Node #2: [2, 71, 33] from Operation: 13+20=33 Current State: 52:[2, 71, 33], Operations: ['13+20=33'] Exploring Operation: 71+33=104, Resulting Numbers: [2, 104] Generated Node #3: [2, 104] from Operation: 71+33=104 Current State: 52:[2, 104], Operations: ['13+20=33', '71+33=104'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 10, 74, 5, 78 ]
41
[ "10/5=2", "74/2=37", "78-37=41" ]
Current State: 41:[10, 74, 5, 78], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [74, 78, 2] Generated Node #2: [74, 78, 2] from Operation: 10/5=2 Current State: 41:[74, 78, 2], Operations: ['10/5=2'] Exploring Operation: 74/2=37, Resulting Numbers: [78, 37] Generated Node #3: [78, 37] from Operation: 74/2=37 Current State: 41:[78, 37], Operations: ['10/5=2', '74/2=37'] Exploring Operation: 78-37=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 32, 80, 96 ]
38
[ "54-32=22", "96-80=16", "22+16=38" ]
Current State: 38:[54, 32, 80, 96], Operations: [] Exploring Operation: 54-32=22, Resulting Numbers: [80, 96, 22] Generated Node #2: [80, 96, 22] from Operation: 54-32=22 Current State: 38:[80, 96, 22], Operations: ['54-32=22'] Exploring Operation: 96-80=16, Resulting Numbers: [22, 16] Generated Node #3: [22, 16] from Operation: 96-80=16 Current State: 38:[22, 16], Operations: ['54-32=22', '96-80=16'] Exploring Operation: 22+16=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 71, 77, 8, 83 ]
81
[ "77-71=6", "83-8=75", "6+75=81" ]
Current State: 81:[71, 77, 8, 83], Operations: [] Exploring Operation: 77-71=6, Resulting Numbers: [8, 83, 6] Generated Node #2: [8, 83, 6] from Operation: 77-71=6 Current State: 81:[8, 83, 6], Operations: ['77-71=6'] Exploring Operation: 83-8=75, Resulting Numbers: [6, 75] Generated Node #3: [6, 75] from Operation: 83-8=75 Current State: 81:[6, 75], Operations: ['77-71=6', '83-8=75'] Exploring Operation: 6+75=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 75, 91, 36, 98 ]
78
[ "91-75=16", "98-36=62", "16+62=78" ]
Current State: 78:[75, 91, 36, 98], Operations: [] Exploring Operation: 91-75=16, Resulting Numbers: [36, 98, 16] Generated Node #2: [36, 98, 16] from Operation: 91-75=16 Current State: 78:[36, 98, 16], Operations: ['91-75=16'] Exploring Operation: 98-36=62, Resulting Numbers: [16, 62] Generated Node #3: [16, 62] from Operation: 98-36=62 Current State: 78:[16, 62], Operations: ['91-75=16', '98-36=62'] Exploring Operation: 16+62=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 78, 18, 67, 56 ]
71
[ "78-18=60", "67-56=11", "60+11=71" ]
Current State: 71:[78, 18, 67, 56], Operations: [] Exploring Operation: 78-18=60, Resulting Numbers: [67, 56, 60] Generated Node #2: [67, 56, 60] from Operation: 78-18=60 Current State: 71:[67, 56, 60], Operations: ['78-18=60'] Exploring Operation: 67-56=11, Resulting Numbers: [60, 11] Generated Node #3: [60, 11] from Operation: 67-56=11 Current State: 71:[60, 11], Operations: ['78-18=60', '67-56=11'] Exploring Operation: 60+11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 38, 28, 64, 42 ]
32
[ "38-28=10", "64-42=22", "10+22=32" ]
Current State: 32:[38, 28, 64, 42], Operations: [] Exploring Operation: 38-28=10, Resulting Numbers: [64, 42, 10] Generated Node #2: [64, 42, 10] from Operation: 38-28=10 Current State: 32:[64, 42, 10], Operations: ['38-28=10'] Exploring Operation: 64-42=22, Resulting Numbers: [10, 22] Generated Node #3: [10, 22] from Operation: 64-42=22 Current State: 32:[10, 22], Operations: ['38-28=10', '64-42=22'] Exploring Operation: 10+22=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 19, 55, 82, 56 ]
10
[ "55-19=36", "82-56=26", "36-26=10" ]
Current State: 10:[19, 55, 82, 56], Operations: [] Exploring Operation: 55-19=36, Resulting Numbers: [82, 56, 36] Generated Node #2: [82, 56, 36] from Operation: 55-19=36 Current State: 10:[82, 56, 36], Operations: ['55-19=36'] Exploring Operation: 82-56=26, Resulting Numbers: [36, 26] Generated Node #3: [36, 26] from Operation: 82-56=26 Current State: 10:[36, 26], Operations: ['55-19=36', '82-56=26'] Exploring Operation: 36-26=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 69, 93, 58, 57 ]
91
[ "93-69=24", "58+57=115", "115-24=91" ]
Current State: 91:[69, 93, 58, 57], Operations: [] Exploring Operation: 93-69=24, Resulting Numbers: [58, 57, 24] Generated Node #2: [58, 57, 24] from Operation: 93-69=24 Current State: 91:[58, 57, 24], Operations: ['93-69=24'] Exploring Operation: 58+57=115, Resulting Numbers: [24, 115] Generated Node #3: [24, 115] from Operation: 58+57=115 Current State: 91:[24, 115], Operations: ['93-69=24', '58+57=115'] Exploring Operation: 115-24=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 78, 54, 69, 43 ]
51
[ "69-43=26", "78/26=3", "54-3=51" ]
Current State: 51:[78, 54, 69, 43], Operations: [] Exploring Operation: 69-43=26, Resulting Numbers: [78, 54, 26] Generated Node #2: [78, 54, 26] from Operation: 69-43=26 Current State: 51:[78, 54, 26], Operations: ['69-43=26'] Exploring Operation: 78/26=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 78/26=3 Current State: 51:[54, 3], Operations: ['69-43=26', '78/26=3'] Exploring Operation: 54-3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 6, 67, 75, 62 ]
11
[ "75-62=13", "6*13=78", "78-67=11" ]
Current State: 11:[6, 67, 75, 62], Operations: [] Exploring Operation: 75-62=13, Resulting Numbers: [6, 67, 13] Generated Node #2: [6, 67, 13] from Operation: 75-62=13 Current State: 11:[6, 67, 13], Operations: ['75-62=13'] Exploring Operation: 6*13=78, Resulting Numbers: [67, 78] Generated Node #3: [67, 78] from Operation: 6*13=78 Current State: 11:[67, 78], Operations: ['75-62=13', '6*13=78'] Exploring Operation: 78-67=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 21, 74, 4, 52 ]
10
[ "74+52=126", "126/21=6", "4+6=10" ]
Current State: 10:[21, 74, 4, 52], Operations: [] Exploring Operation: 74+52=126, Resulting Numbers: [21, 4, 126] Generated Node #2: [21, 4, 126] from Operation: 74+52=126 Current State: 10:[21, 4, 126], Operations: ['74+52=126'] Exploring Operation: 126/21=6, Resulting Numbers: [4, 6] Generated Node #3: [4, 6] from Operation: 126/21=6 Current State: 10:[4, 6], Operations: ['74+52=126', '126/21=6'] Exploring Operation: 4+6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 59, 90, 3, 72 ]
100
[ "90-59=31", "72-3=69", "31+69=100" ]
Current State: 100:[59, 90, 3, 72], Operations: [] Exploring Operation: 90-59=31, Resulting Numbers: [3, 72, 31] Generated Node #2: [3, 72, 31] from Operation: 90-59=31 Current State: 100:[3, 72, 31], Operations: ['90-59=31'] Exploring Operation: 72-3=69, Resulting Numbers: [31, 69] Generated Node #3: [31, 69] from Operation: 72-3=69 Current State: 100:[31, 69], Operations: ['90-59=31', '72-3=69'] Exploring Operation: 31+69=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 58, 11, 94, 37 ]
84
[ "58-11=47", "94+37=131", "131-47=84" ]
Current State: 84:[58, 11, 94, 37], Operations: [] Exploring Operation: 58-11=47, Resulting Numbers: [94, 37, 47] Generated Node #2: [94, 37, 47] from Operation: 58-11=47 Current State: 84:[94, 37, 47], Operations: ['58-11=47'] Exploring Operation: 94+37=131, Resulting Numbers: [47, 131] Generated Node #3: [47, 131] from Operation: 94+37=131 Current State: 84:[47, 131], Operations: ['58-11=47', '94+37=131'] Exploring Operation: 131-47=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 76, 33, 79, 74 ]
48
[ "76-33=43", "79-74=5", "43+5=48" ]
Current State: 48:[76, 33, 79, 74], Operations: [] Exploring Operation: 76-33=43, Resulting Numbers: [79, 74, 43] Generated Node #2: [79, 74, 43] from Operation: 76-33=43 Current State: 48:[79, 74, 43], Operations: ['76-33=43'] Exploring Operation: 79-74=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 79-74=5 Current State: 48:[43, 5], Operations: ['76-33=43', '79-74=5'] Exploring Operation: 43+5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 6, 88, 8, 13 ]
67
[ "6*13=78", "88/8=11", "78-11=67" ]
Current State: 67:[6, 88, 8, 13], Operations: [] Exploring Operation: 6*13=78, Resulting Numbers: [88, 8, 78] Generated Node #2: [88, 8, 78] from Operation: 6*13=78 Current State: 67:[88, 8, 78], Operations: ['6*13=78'] Exploring Operation: 88/8=11, Resulting Numbers: [78, 11] Generated Node #3: [78, 11] from Operation: 88/8=11 Current State: 67:[78, 11], Operations: ['6*13=78', '88/8=11'] Exploring Operation: 78-11=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 80, 67, 8, 85 ]
28
[ "80/8=10", "85-67=18", "10+18=28" ]
Current State: 28:[80, 67, 8, 85], Operations: [] Exploring Operation: 80/8=10, Resulting Numbers: [67, 85, 10] Generated Node #2: [67, 85, 10] from Operation: 80/8=10 Current State: 28:[67, 85, 10], Operations: ['80/8=10'] Exploring Operation: 85-67=18, Resulting Numbers: [10, 18] Generated Node #3: [10, 18] from Operation: 85-67=18 Current State: 28:[10, 18], Operations: ['80/8=10', '85-67=18'] Exploring Operation: 10+18=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 40, 56, 75, 65 ]
44
[ "40+56=96", "75+65=140", "140-96=44" ]
Current State: 44:[40, 56, 75, 65], Operations: [] Exploring Operation: 40+56=96, Resulting Numbers: [75, 65, 96] Generated Node #2: [75, 65, 96] from Operation: 40+56=96 Current State: 44:[75, 65, 96], Operations: ['40+56=96'] Exploring Operation: 75+65=140, Resulting Numbers: [96, 140] Generated Node #3: [96, 140] from Operation: 75+65=140 Current State: 44:[96, 140], Operations: ['40+56=96', '75+65=140'] Exploring Operation: 140-96=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 51, 43, 54, 81 ]
77
[ "51*54=2754", "2754/81=34", "43+34=77" ]
Current State: 77:[51, 43, 54, 81], Operations: [] Exploring Operation: 51*54=2754, Resulting Numbers: [43, 81, 2754] Generated Node #2: [43, 81, 2754] from Operation: 51*54=2754 Current State: 77:[43, 81, 2754], Operations: ['51*54=2754'] Exploring Operation: 2754/81=34, Resulting Numbers: [43, 34] Generated Node #3: [43, 34] from Operation: 2754/81=34 Current State: 77:[43, 34], Operations: ['51*54=2754', '2754/81=34'] Exploring Operation: 43+34=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 85, 99, 94 ]
33
[ "94/2=47", "99-85=14", "47-14=33" ]
Current State: 33:[2, 85, 99, 94], Operations: [] Exploring Operation: 94/2=47, Resulting Numbers: [85, 99, 47] Generated Node #2: [85, 99, 47] from Operation: 94/2=47 Current State: 33:[85, 99, 47], Operations: ['94/2=47'] Exploring Operation: 99-85=14, Resulting Numbers: [47, 14] Generated Node #3: [47, 14] from Operation: 99-85=14 Current State: 33:[47, 14], Operations: ['94/2=47', '99-85=14'] Exploring Operation: 47-14=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 95, 53, 84, 28 ]
98
[ "95-53=42", "84-28=56", "42+56=98" ]
Current State: 98:[95, 53, 84, 28], Operations: [] Exploring Operation: 95-53=42, Resulting Numbers: [84, 28, 42] Generated Node #2: [84, 28, 42] from Operation: 95-53=42 Current State: 98:[84, 28, 42], Operations: ['95-53=42'] Exploring Operation: 84-28=56, Resulting Numbers: [42, 56] Generated Node #3: [42, 56] from Operation: 84-28=56 Current State: 98:[42, 56], Operations: ['95-53=42', '84-28=56'] Exploring Operation: 42+56=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 19, 19, 74, 7 ]
80
[ "19/19=1", "74+7=81", "81-1=80" ]
Current State: 80:[19, 19, 74, 7], Operations: [] Exploring Operation: 19/19=1, Resulting Numbers: [74, 7, 1] Generated Node #2: [74, 7, 1] from Operation: 19/19=1 Current State: 80:[74, 7, 1], Operations: ['19/19=1'] Exploring Operation: 74+7=81, Resulting Numbers: [1, 81] Generated Node #3: [1, 81] from Operation: 74+7=81 Current State: 80:[1, 81], Operations: ['19/19=1', '74+7=81'] Exploring Operation: 81-1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 92, 14, 2, 8 ]
91
[ "92-8=84", "14/2=7", "84+7=91" ]
Current State: 91:[92, 14, 2, 8], Operations: [] Exploring Operation: 92-8=84, Resulting Numbers: [14, 2, 84] Generated Node #2: [14, 2, 84] from Operation: 92-8=84 Current State: 91:[14, 2, 84], Operations: ['92-8=84'] Exploring Operation: 14/2=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 14/2=7 Current State: 91:[84, 7], Operations: ['92-8=84', '14/2=7'] Exploring Operation: 84+7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 88, 10, 26 ]
56
[ "26-10=16", "2*16=32", "88-32=56" ]
Current State: 56:[2, 88, 10, 26], Operations: [] Exploring Operation: 26-10=16, Resulting Numbers: [2, 88, 16] Generated Node #2: [2, 88, 16] from Operation: 26-10=16 Current State: 56:[2, 88, 16], Operations: ['26-10=16'] Exploring Operation: 2*16=32, Resulting Numbers: [88, 32] Generated Node #3: [88, 32] from Operation: 2*16=32 Current State: 56:[88, 32], Operations: ['26-10=16', '2*16=32'] Exploring Operation: 88-32=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 49, 2, 47, 16 ]
20
[ "49+2=51", "47-16=31", "51-31=20" ]
Current State: 20:[49, 2, 47, 16], Operations: [] Exploring Operation: 49+2=51, Resulting Numbers: [47, 16, 51] Generated Node #2: [47, 16, 51] from Operation: 49+2=51 Current State: 20:[47, 16, 51], Operations: ['49+2=51'] Exploring Operation: 47-16=31, Resulting Numbers: [51, 31] Generated Node #3: [51, 31] from Operation: 47-16=31 Current State: 20:[51, 31], Operations: ['49+2=51', '47-16=31'] Exploring Operation: 51-31=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 48, 4, 74, 11 ]
73
[ "48/4=12", "74+11=85", "85-12=73" ]
Current State: 73:[48, 4, 74, 11], Operations: [] Exploring Operation: 48/4=12, Resulting Numbers: [74, 11, 12] Generated Node #2: [74, 11, 12] from Operation: 48/4=12 Current State: 73:[74, 11, 12], Operations: ['48/4=12'] Exploring Operation: 74+11=85, Resulting Numbers: [12, 85] Generated Node #3: [12, 85] from Operation: 74+11=85 Current State: 73:[12, 85], Operations: ['48/4=12', '74+11=85'] Exploring Operation: 85-12=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 23, 58, 62, 80 ]
61
[ "23+58=81", "62+80=142", "142-81=61" ]
Current State: 61:[23, 58, 62, 80], Operations: [] Exploring Operation: 23+58=81, Resulting Numbers: [62, 80, 81] Generated Node #2: [62, 80, 81] from Operation: 23+58=81 Current State: 61:[62, 80, 81], Operations: ['23+58=81'] Exploring Operation: 62+80=142, Resulting Numbers: [81, 142] Generated Node #3: [81, 142] from Operation: 62+80=142 Current State: 61:[81, 142], Operations: ['23+58=81', '62+80=142'] Exploring Operation: 142-81=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 43, 84, 18, 11 ]
81
[ "43+11=54", "54/18=3", "84-3=81" ]
Current State: 81:[43, 84, 18, 11], Operations: [] Exploring Operation: 43+11=54, Resulting Numbers: [84, 18, 54] Generated Node #2: [84, 18, 54] from Operation: 43+11=54 Current State: 81:[84, 18, 54], Operations: ['43+11=54'] Exploring Operation: 54/18=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 54/18=3 Current State: 81:[84, 3], Operations: ['43+11=54', '54/18=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 1, 46, 60, 63 ]
15
[ "46-1=45", "63-60=3", "45/3=15" ]
Current State: 15:[1, 46, 60, 63], Operations: [] Exploring Operation: 46-1=45, Resulting Numbers: [60, 63, 45] Generated Node #2: [60, 63, 45] from Operation: 46-1=45 Current State: 15:[60, 63, 45], Operations: ['46-1=45'] Exploring Operation: 63-60=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 63-60=3 Current State: 15:[45, 3], Operations: ['46-1=45', '63-60=3'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 94, 8, 4 ]
94
[ "4+94=98", "8-4=4", "98-4=94" ]
Current State: 94:[4, 94, 8, 4], Operations: [] Exploring Operation: 4+94=98, Resulting Numbers: [8, 98] Generated Node #2: [8, 98] from Operation: 4+94=98 Current State: 94:[8, 98], Operations: ['4+94=98'] Exploring Operation: 8-4=4, Resulting Numbers: [98, 4] Generated Node #3: [98, 4] from Operation: 8-4=4 Current State: 94:[98, 4], Operations: ['4+94=98', '8-4=4'] Exploring Operation: 98-4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 4, 93, 2, 37 ]
48
[ "4*2=8", "93-37=56", "56-8=48" ]
Current State: 48:[4, 93, 2, 37], Operations: [] Exploring Operation: 4*2=8, Resulting Numbers: [93, 37, 8] Generated Node #2: [93, 37, 8] from Operation: 4*2=8 Current State: 48:[93, 37, 8], Operations: ['4*2=8'] Exploring Operation: 93-37=56, Resulting Numbers: [8, 56] Generated Node #3: [8, 56] from Operation: 93-37=56 Current State: 48:[8, 56], Operations: ['4*2=8', '93-37=56'] Exploring Operation: 56-8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 26, 10, 27, 10 ]
20
[ "27-26=1", "10+10=20", "1*20=20" ]
Current State: 20:[26, 10, 27, 10], Operations: [] Exploring Operation: 27-26=1, Resulting Numbers: [10, 10, 1] Generated Node #2: [10, 10, 1] from Operation: 27-26=1 Current State: 20:[10, 10, 1], Operations: ['27-26=1'] Exploring Operation: 10+10=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 10+10=20 Current State: 20:[1, 20], Operations: ['27-26=1', '10+10=20'] Exploring Operation: 1*20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 48, 10, 10, 28 ]
21
[ "48-28=20", "10/10=1", "20+1=21" ]
Current State: 21:[48, 10, 10, 28], Operations: [] Exploring Operation: 48-28=20, Resulting Numbers: [10, 10, 20] Generated Node #2: [10, 10, 20] from Operation: 48-28=20 Current State: 21:[10, 10, 20], Operations: ['48-28=20'] Exploring Operation: 10/10=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 10/10=1 Current State: 21:[20, 1], Operations: ['48-28=20', '10/10=1'] Exploring Operation: 20+1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 19, 51, 11, 96 ]
39
[ "19-11=8", "96/8=12", "51-12=39" ]
Current State: 39:[19, 51, 11, 96], Operations: [] Exploring Operation: 19-11=8, Resulting Numbers: [51, 96, 8] Generated Node #2: [51, 96, 8] from Operation: 19-11=8 Current State: 39:[51, 96, 8], Operations: ['19-11=8'] Exploring Operation: 96/8=12, Resulting Numbers: [51, 12] Generated Node #3: [51, 12] from Operation: 96/8=12 Current State: 39:[51, 12], Operations: ['19-11=8', '96/8=12'] Exploring Operation: 51-12=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 31, 51, 69, 13 ]
62
[ "51-31=20", "69+13=82", "82-20=62" ]
Current State: 62:[31, 51, 69, 13], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [69, 13, 20] Generated Node #2: [69, 13, 20] from Operation: 51-31=20 Current State: 62:[69, 13, 20], Operations: ['51-31=20'] Exploring Operation: 69+13=82, Resulting Numbers: [20, 82] Generated Node #3: [20, 82] from Operation: 69+13=82 Current State: 62:[20, 82], Operations: ['51-31=20', '69+13=82'] Exploring Operation: 82-20=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 54, 56, 78, 16 ]
16
[ "54+56=110", "78+16=94", "110-94=16" ]
Current State: 16:[54, 56, 78, 16], Operations: [] Exploring Operation: 54+56=110, Resulting Numbers: [78, 16, 110] Generated Node #2: [78, 16, 110] from Operation: 54+56=110 Current State: 16:[78, 16, 110], Operations: ['54+56=110'] Exploring Operation: 78+16=94, Resulting Numbers: [110, 94] Generated Node #3: [110, 94] from Operation: 78+16=94 Current State: 16:[110, 94], Operations: ['54+56=110', '78+16=94'] Exploring Operation: 110-94=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 1, 17, 64, 17 ]
99
[ "1+17=18", "64+17=81", "18+81=99" ]
Current State: 99:[1, 17, 64, 17], Operations: [] Exploring Operation: 1+17=18, Resulting Numbers: [64, 18] Generated Node #2: [64, 18] from Operation: 1+17=18 Current State: 99:[64, 18], Operations: ['1+17=18'] Exploring Operation: 64+17=81, Resulting Numbers: [18, 81] Generated Node #3: [18, 81] from Operation: 64+17=81 Current State: 99:[18, 81], Operations: ['1+17=18', '64+17=81'] Exploring Operation: 18+81=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 68, 35, 10, 67 ]
44
[ "68-35=33", "10+67=77", "77-33=44" ]
Current State: 44:[68, 35, 10, 67], Operations: [] Exploring Operation: 68-35=33, Resulting Numbers: [10, 67, 33] Generated Node #2: [10, 67, 33] from Operation: 68-35=33 Current State: 44:[10, 67, 33], Operations: ['68-35=33'] Exploring Operation: 10+67=77, Resulting Numbers: [33, 77] Generated Node #3: [33, 77] from Operation: 10+67=77 Current State: 44:[33, 77], Operations: ['68-35=33', '10+67=77'] Exploring Operation: 77-33=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 50, 42, 32, 34 ]
58
[ "50-42=8", "32+34=66", "66-8=58" ]
Current State: 58:[50, 42, 32, 34], Operations: [] Exploring Operation: 50-42=8, Resulting Numbers: [32, 34, 8] Generated Node #2: [32, 34, 8] from Operation: 50-42=8 Current State: 58:[32, 34, 8], Operations: ['50-42=8'] Exploring Operation: 32+34=66, Resulting Numbers: [8, 66] Generated Node #3: [8, 66] from Operation: 32+34=66 Current State: 58:[8, 66], Operations: ['50-42=8', '32+34=66'] Exploring Operation: 66-8=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 23, 33, 22, 19 ]
13
[ "33-23=10", "22-19=3", "10+3=13" ]
Current State: 13:[23, 33, 22, 19], Operations: [] Exploring Operation: 33-23=10, Resulting Numbers: [22, 19, 10] Generated Node #2: [22, 19, 10] from Operation: 33-23=10 Current State: 13:[22, 19, 10], Operations: ['33-23=10'] Exploring Operation: 22-19=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 22-19=3 Current State: 13:[10, 3], Operations: ['33-23=10', '22-19=3'] Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 3, 8, 74, 28 ]
51
[ "8-3=5", "74-28=46", "5+46=51" ]
Current State: 51:[3, 8, 74, 28], Operations: [] Exploring Operation: 8-3=5, Resulting Numbers: [74, 28, 5] Generated Node #2: [74, 28, 5] from Operation: 8-3=5 Current State: 51:[74, 28, 5], Operations: ['8-3=5'] Exploring Operation: 74-28=46, Resulting Numbers: [5, 46] Generated Node #3: [5, 46] from Operation: 74-28=46 Current State: 51:[5, 46], Operations: ['8-3=5', '74-28=46'] Exploring Operation: 5+46=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 89, 44, 94, 45 ]
35
[ "94-89=5", "45/5=9", "44-9=35" ]
Current State: 35:[89, 44, 94, 45], Operations: [] Exploring Operation: 94-89=5, Resulting Numbers: [44, 45, 5] Generated Node #2: [44, 45, 5] from Operation: 94-89=5 Current State: 35:[44, 45, 5], Operations: ['94-89=5'] Exploring Operation: 45/5=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 45/5=9 Current State: 35:[44, 9], Operations: ['94-89=5', '45/5=9'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 8, 80, 63, 57 ]
94
[ "8+80=88", "63-57=6", "88+6=94" ]
Current State: 94:[8, 80, 63, 57], Operations: [] Exploring Operation: 8+80=88, Resulting Numbers: [63, 57, 88] Generated Node #2: [63, 57, 88] from Operation: 8+80=88 Current State: 94:[63, 57, 88], Operations: ['8+80=88'] Exploring Operation: 63-57=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 63-57=6 Current State: 94:[88, 6], Operations: ['8+80=88', '63-57=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 27, 89, 60, 41 ]
43
[ "89-27=62", "60-41=19", "62-19=43" ]
Current State: 43:[27, 89, 60, 41], Operations: [] Exploring Operation: 89-27=62, Resulting Numbers: [60, 41, 62] Generated Node #2: [60, 41, 62] from Operation: 89-27=62 Current State: 43:[60, 41, 62], Operations: ['89-27=62'] Exploring Operation: 60-41=19, Resulting Numbers: [62, 19] Generated Node #3: [62, 19] from Operation: 60-41=19 Current State: 43:[62, 19], Operations: ['89-27=62', '60-41=19'] Exploring Operation: 62-19=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 38, 85, 14, 32 ]
93
[ "85-38=47", "14+32=46", "47+46=93" ]
Current State: 93:[38, 85, 14, 32], Operations: [] Exploring Operation: 85-38=47, Resulting Numbers: [14, 32, 47] Generated Node #2: [14, 32, 47] from Operation: 85-38=47 Current State: 93:[14, 32, 47], Operations: ['85-38=47'] Exploring Operation: 14+32=46, Resulting Numbers: [47, 46] Generated Node #3: [47, 46] from Operation: 14+32=46 Current State: 93:[47, 46], Operations: ['85-38=47', '14+32=46'] Exploring Operation: 47+46=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 49, 84, 28, 23 ]
24
[ "49+23=72", "84/28=3", "72/3=24" ]
Current State: 24:[49, 84, 28, 23], Operations: [] Exploring Operation: 49+23=72, Resulting Numbers: [84, 28, 72] Generated Node #2: [84, 28, 72] from Operation: 49+23=72 Current State: 24:[84, 28, 72], Operations: ['49+23=72'] Exploring Operation: 84/28=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 84/28=3 Current State: 24:[72, 3], Operations: ['49+23=72', '84/28=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 98, 35, 58, 97 ]
92
[ "98-35=63", "58+97=155", "155-63=92" ]
Current State: 92:[98, 35, 58, 97], Operations: [] Exploring Operation: 98-35=63, Resulting Numbers: [58, 97, 63] Generated Node #2: [58, 97, 63] from Operation: 98-35=63 Current State: 92:[58, 97, 63], Operations: ['98-35=63'] Exploring Operation: 58+97=155, Resulting Numbers: [63, 155] Generated Node #3: [63, 155] from Operation: 58+97=155 Current State: 92:[63, 155], Operations: ['98-35=63', '58+97=155'] Exploring Operation: 155-63=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 26, 28, 95, 93 ]
91
[ "28-26=2", "93*2=186", "186-95=91" ]
Current State: 91:[26, 28, 95, 93], Operations: [] Exploring Operation: 28-26=2, Resulting Numbers: [95, 93, 2] Generated Node #2: [95, 93, 2] from Operation: 28-26=2 Current State: 91:[95, 93, 2], Operations: ['28-26=2'] Exploring Operation: 93*2=186, Resulting Numbers: [95, 186] Generated Node #3: [95, 186] from Operation: 93*2=186 Current State: 91:[95, 186], Operations: ['28-26=2', '93*2=186'] Exploring Operation: 186-95=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 69, 3, 1, 2 ]
37
[ "69+3=72", "72/2=36", "1+36=37" ]
Current State: 37:[69, 3, 1, 2], Operations: [] Exploring Operation: 69+3=72, Resulting Numbers: [1, 2, 72] Generated Node #2: [1, 2, 72] from Operation: 69+3=72 Current State: 37:[1, 2, 72], Operations: ['69+3=72'] Exploring Operation: 72/2=36, Resulting Numbers: [1, 36] Generated Node #3: [1, 36] from Operation: 72/2=36 Current State: 37:[1, 36], Operations: ['69+3=72', '72/2=36'] Exploring Operation: 1+36=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 61, 18, 5, 8 ]
83
[ "61-18=43", "5*8=40", "43+40=83" ]
Current State: 83:[61, 18, 5, 8], Operations: [] Exploring Operation: 61-18=43, Resulting Numbers: [5, 8, 43] Generated Node #2: [5, 8, 43] from Operation: 61-18=43 Current State: 83:[5, 8, 43], Operations: ['61-18=43'] Exploring Operation: 5*8=40, Resulting Numbers: [43, 40] Generated Node #3: [43, 40] from Operation: 5*8=40 Current State: 83:[43, 40], Operations: ['61-18=43', '5*8=40'] Exploring Operation: 43+40=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 40, 49, 2, 6 ]
12
[ "49-40=9", "6/2=3", "9+3=12" ]
Current State: 12:[40, 49, 2, 6], Operations: [] Exploring Operation: 49-40=9, Resulting Numbers: [2, 6, 9] Generated Node #2: [2, 6, 9] from Operation: 49-40=9 Current State: 12:[2, 6, 9], Operations: ['49-40=9'] Exploring Operation: 6/2=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 6/2=3 Current State: 12:[9, 3], Operations: ['49-40=9', '6/2=3'] Exploring Operation: 9+3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 95, 93, 31, 65 ]
99
[ "95-93=2", "65*2=130", "130-31=99" ]
Current State: 99:[95, 93, 31, 65], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [31, 65, 2] Generated Node #2: [31, 65, 2] from Operation: 95-93=2 Current State: 99:[31, 65, 2], Operations: ['95-93=2'] Exploring Operation: 65*2=130, Resulting Numbers: [31, 130] Generated Node #3: [31, 130] from Operation: 65*2=130 Current State: 99:[31, 130], Operations: ['95-93=2', '65*2=130'] Exploring Operation: 130-31=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 85, 24, 14, 10 ]
65
[ "85-24=61", "14-10=4", "61+4=65" ]
Current State: 65:[85, 24, 14, 10], Operations: [] Exploring Operation: 85-24=61, Resulting Numbers: [14, 10, 61] Generated Node #2: [14, 10, 61] from Operation: 85-24=61 Current State: 65:[14, 10, 61], Operations: ['85-24=61'] Exploring Operation: 14-10=4, Resulting Numbers: [61, 4] Generated Node #3: [61, 4] from Operation: 14-10=4 Current State: 65:[61, 4], Operations: ['85-24=61', '14-10=4'] Exploring Operation: 61+4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 36, 18, 18, 78 ]
69
[ "36/18=2", "18/2=9", "78-9=69" ]
Current State: 69:[36, 18, 18, 78], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [78, 2] Generated Node #2: [78, 2] from Operation: 36/18=2 Current State: 69:[78, 2], Operations: ['36/18=2'] Exploring Operation: 18/2=9, Resulting Numbers: [78, 9] Generated Node #3: [78, 9] from Operation: 18/2=9 Current State: 69:[78, 9], Operations: ['36/18=2', '18/2=9'] Exploring Operation: 78-9=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 17, 73, 13, 16 ]
61
[ "17+73=90", "13+16=29", "90-29=61" ]
Current State: 61:[17, 73, 13, 16], Operations: [] Exploring Operation: 17+73=90, Resulting Numbers: [13, 16, 90] Generated Node #2: [13, 16, 90] from Operation: 17+73=90 Current State: 61:[13, 16, 90], Operations: ['17+73=90'] Exploring Operation: 13+16=29, Resulting Numbers: [90, 29] Generated Node #3: [90, 29] from Operation: 13+16=29 Current State: 61:[90, 29], Operations: ['17+73=90', '13+16=29'] Exploring Operation: 90-29=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4