Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 15, 93, 91, 31 ]
73
[ "91-15=76", "93/31=3", "76-3=73" ]
Current State: 73:[15, 93, 91, 31], Operations: [] Exploring Operation: 91-15=76, Resulting Numbers: [93, 31, 76] Generated Node #2: [93, 31, 76] from Operation: 91-15=76 Current State: 73:[93, 31, 76], Operations: ['91-15=76'] Exploring Operation: 93/31=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 93/31=3 Current State: 73:[76, 3], Operations: ['91-15=76', '93/31=3'] Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 63, 69, 27, 65 ]
86
[ "69-63=6", "27+65=92", "92-6=86" ]
Current State: 86:[63, 69, 27, 65], Operations: [] Exploring Operation: 69-63=6, Resulting Numbers: [27, 65, 6] Generated Node #2: [27, 65, 6] from Operation: 69-63=6 Current State: 86:[27, 65, 6], Operations: ['69-63=6'] Exploring Operation: 27+65=92, Resulting Numbers: [6, 92] Generated Node #3: [6, 92] from Operation: 27+65=92 Current State: 86:[6, 92], Operations: ['69-63=6', '27+65=92'] Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 29, 3, 64, 52 ]
20
[ "29+3=32", "64-52=12", "32-12=20" ]
Current State: 20:[29, 3, 64, 52], Operations: [] Exploring Operation: 29+3=32, Resulting Numbers: [64, 52, 32] Generated Node #2: [64, 52, 32] from Operation: 29+3=32 Current State: 20:[64, 52, 32], Operations: ['29+3=32'] Exploring Operation: 64-52=12, Resulting Numbers: [32, 12] Generated Node #3: [32, 12] from Operation: 64-52=12 Current State: 20:[32, 12], Operations: ['29+3=32', '64-52=12'] Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 5, 33, 88, 5 ]
65
[ "33-5=28", "88+5=93", "93-28=65" ]
Current State: 65:[5, 33, 88, 5], Operations: [] Exploring Operation: 33-5=28, Resulting Numbers: [88, 28] Generated Node #2: [88, 28] from Operation: 33-5=28 Current State: 65:[88, 28], Operations: ['33-5=28'] Exploring Operation: 88+5=93, Resulting Numbers: [28, 93] Generated Node #3: [28, 93] from Operation: 88+5=93 Current State: 65:[28, 93], Operations: ['33-5=28', '88+5=93'] Exploring Operation: 93-28=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 93, 3, 76, 38 ]
62
[ "93/3=31", "76/38=2", "31*2=62" ]
Current State: 62:[93, 3, 76, 38], Operations: [] Exploring Operation: 93/3=31, Resulting Numbers: [76, 38, 31] Generated Node #2: [76, 38, 31] from Operation: 93/3=31 Current State: 62:[76, 38, 31], Operations: ['93/3=31'] Exploring Operation: 76/38=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 76/38=2 Current State: 62:[31, 2], Operations: ['93/3=31', '76/38=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 14, 97, 63, 7 ]
20
[ "97-7=90", "14*90=1260", "1260/63=20" ]
Current State: 20:[14, 97, 63, 7], Operations: [] Exploring Operation: 97-7=90, Resulting Numbers: [14, 63, 90] Generated Node #2: [14, 63, 90] from Operation: 97-7=90 Current State: 20:[14, 63, 90], Operations: ['97-7=90'] Exploring Operation: 14*90=1260, Resulting Numbers: [63, 1260] Generated Node #3: [63, 1260] from Operation: 14*90=1260 Current State: 20:[63, 1260], Operations: ['97-7=90', '14*90=1260'] Exploring Operation: 1260/63=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 51, 8, 16, 56 ]
40
[ "56-51=5", "16-8=8", "5*8=40" ]
Current State: 40:[51, 8, 16, 56], Operations: [] Exploring Operation: 56-51=5, Resulting Numbers: [8, 16, 5] Generated Node #2: [8, 16, 5] from Operation: 56-51=5 Current State: 40:[8, 16, 5], Operations: ['56-51=5'] Exploring Operation: 16-8=8, Resulting Numbers: [5, 8] Generated Node #3: [5, 8] from Operation: 16-8=8 Current State: 40:[5, 8], Operations: ['56-51=5', '16-8=8'] Exploring Operation: 5*8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 37, 88, 30, 78 ]
77
[ "37+88=125", "78-30=48", "125-48=77" ]
Current State: 77:[37, 88, 30, 78], Operations: [] Exploring Operation: 37+88=125, Resulting Numbers: [30, 78, 125] Generated Node #2: [30, 78, 125] from Operation: 37+88=125 Current State: 77:[30, 78, 125], Operations: ['37+88=125'] Exploring Operation: 78-30=48, Resulting Numbers: [125, 48] Generated Node #3: [125, 48] from Operation: 78-30=48 Current State: 77:[125, 48], Operations: ['37+88=125', '78-30=48'] Exploring Operation: 125-48=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 28, 23, 95, 25 ]
81
[ "25-23=2", "28/2=14", "95-14=81" ]
Current State: 81:[28, 23, 95, 25], Operations: [] Exploring Operation: 25-23=2, Resulting Numbers: [28, 95, 2] Generated Node #2: [28, 95, 2] from Operation: 25-23=2 Current State: 81:[28, 95, 2], Operations: ['25-23=2'] Exploring Operation: 28/2=14, Resulting Numbers: [95, 14] Generated Node #3: [95, 14] from Operation: 28/2=14 Current State: 81:[95, 14], Operations: ['25-23=2', '28/2=14'] Exploring Operation: 95-14=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 69, 15, 66, 91 ]
100
[ "69+66=135", "135/15=9", "91+9=100" ]
Current State: 100:[69, 15, 66, 91], Operations: [] Exploring Operation: 69+66=135, Resulting Numbers: [15, 91, 135] Generated Node #2: [15, 91, 135] from Operation: 69+66=135 Current State: 100:[15, 91, 135], Operations: ['69+66=135'] Exploring Operation: 135/15=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 135/15=9 Current State: 100:[91, 9], Operations: ['69+66=135', '135/15=9'] Exploring Operation: 91+9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 4, 16, 11, 69 ]
46
[ "16-4=12", "69-11=58", "58-12=46" ]
Current State: 46:[4, 16, 11, 69], Operations: [] Exploring Operation: 16-4=12, Resulting Numbers: [11, 69, 12] Generated Node #2: [11, 69, 12] from Operation: 16-4=12 Current State: 46:[11, 69, 12], Operations: ['16-4=12'] Exploring Operation: 69-11=58, Resulting Numbers: [12, 58] Generated Node #3: [12, 58] from Operation: 69-11=58 Current State: 46:[12, 58], Operations: ['16-4=12', '69-11=58'] Exploring Operation: 58-12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 32, 29, 43, 9 ]
27
[ "32+29=61", "43-9=34", "61-34=27" ]
Current State: 27:[32, 29, 43, 9], Operations: [] Exploring Operation: 32+29=61, Resulting Numbers: [43, 9, 61] Generated Node #2: [43, 9, 61] from Operation: 32+29=61 Current State: 27:[43, 9, 61], Operations: ['32+29=61'] Exploring Operation: 43-9=34, Resulting Numbers: [61, 34] Generated Node #3: [61, 34] from Operation: 43-9=34 Current State: 27:[61, 34], Operations: ['32+29=61', '43-9=34'] Exploring Operation: 61-34=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 91, 55, 31, 64 ]
51
[ "91+55=146", "31+64=95", "146-95=51" ]
Current State: 51:[91, 55, 31, 64], Operations: [] Exploring Operation: 91+55=146, Resulting Numbers: [31, 64, 146] Generated Node #2: [31, 64, 146] from Operation: 91+55=146 Current State: 51:[31, 64, 146], Operations: ['91+55=146'] Exploring Operation: 31+64=95, Resulting Numbers: [146, 95] Generated Node #3: [146, 95] from Operation: 31+64=95 Current State: 51:[146, 95], Operations: ['91+55=146', '31+64=95'] Exploring Operation: 146-95=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 34, 4, 18, 31 ]
87
[ "34+4=38", "18+31=49", "38+49=87" ]
Current State: 87:[34, 4, 18, 31], Operations: [] Exploring Operation: 34+4=38, Resulting Numbers: [18, 31, 38] Generated Node #2: [18, 31, 38] from Operation: 34+4=38 Current State: 87:[18, 31, 38], Operations: ['34+4=38'] Exploring Operation: 18+31=49, Resulting Numbers: [38, 49] Generated Node #3: [38, 49] from Operation: 18+31=49 Current State: 87:[38, 49], Operations: ['34+4=38', '18+31=49'] Exploring Operation: 38+49=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 43, 80, 56, 84 ]
29
[ "84-80=4", "56/4=14", "43-14=29" ]
Current State: 29:[43, 80, 56, 84], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [43, 56, 4] Generated Node #2: [43, 56, 4] from Operation: 84-80=4 Current State: 29:[43, 56, 4], Operations: ['84-80=4'] Exploring Operation: 56/4=14, Resulting Numbers: [43, 14] Generated Node #3: [43, 14] from Operation: 56/4=14 Current State: 29:[43, 14], Operations: ['84-80=4', '56/4=14'] Exploring Operation: 43-14=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 10, 93, 13, 69 ]
31
[ "10+13=23", "93*23=2139", "2139/69=31" ]
Current State: 31:[10, 93, 13, 69], Operations: [] Exploring Operation: 10+13=23, Resulting Numbers: [93, 69, 23] Generated Node #2: [93, 69, 23] from Operation: 10+13=23 Current State: 31:[93, 69, 23], Operations: ['10+13=23'] Exploring Operation: 93*23=2139, Resulting Numbers: [69, 2139] Generated Node #3: [69, 2139] from Operation: 93*23=2139 Current State: 31:[69, 2139], Operations: ['10+13=23', '93*23=2139'] Exploring Operation: 2139/69=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 8, 44, 62, 44 ]
70
[ "8+44=52", "62-44=18", "52+18=70" ]
Current State: 70:[8, 44, 62, 44], Operations: [] Exploring Operation: 8+44=52, Resulting Numbers: [62, 52] Generated Node #2: [62, 52] from Operation: 8+44=52 Current State: 70:[62, 52], Operations: ['8+44=52'] Exploring Operation: 62-44=18, Resulting Numbers: [52, 18] Generated Node #3: [52, 18] from Operation: 62-44=18 Current State: 70:[52, 18], Operations: ['8+44=52', '62-44=18'] Exploring Operation: 52+18=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 17, 35, 20 ]
92
[ "2*20=40", "17+35=52", "40+52=92" ]
Current State: 92:[2, 17, 35, 20], Operations: [] Exploring Operation: 2*20=40, Resulting Numbers: [17, 35, 40] Generated Node #2: [17, 35, 40] from Operation: 2*20=40 Current State: 92:[17, 35, 40], Operations: ['2*20=40'] Exploring Operation: 17+35=52, Resulting Numbers: [40, 52] Generated Node #3: [40, 52] from Operation: 17+35=52 Current State: 92:[40, 52], Operations: ['2*20=40', '17+35=52'] Exploring Operation: 40+52=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 51, 26, 6, 39 ]
38
[ "51+6=57", "26*57=1482", "1482/39=38" ]
Current State: 38:[51, 26, 6, 39], Operations: [] Exploring Operation: 51+6=57, Resulting Numbers: [26, 39, 57] Generated Node #2: [26, 39, 57] from Operation: 51+6=57 Current State: 38:[26, 39, 57], Operations: ['51+6=57'] Exploring Operation: 26*57=1482, Resulting Numbers: [39, 1482] Generated Node #3: [39, 1482] from Operation: 26*57=1482 Current State: 38:[39, 1482], Operations: ['51+6=57', '26*57=1482'] Exploring Operation: 1482/39=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 68, 10, 32, 9 ]
99
[ "68-10=58", "32+9=41", "58+41=99" ]
Current State: 99:[68, 10, 32, 9], Operations: [] Exploring Operation: 68-10=58, Resulting Numbers: [32, 9, 58] Generated Node #2: [32, 9, 58] from Operation: 68-10=58 Current State: 99:[32, 9, 58], Operations: ['68-10=58'] Exploring Operation: 32+9=41, Resulting Numbers: [58, 41] Generated Node #3: [58, 41] from Operation: 32+9=41 Current State: 99:[58, 41], Operations: ['68-10=58', '32+9=41'] Exploring Operation: 58+41=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 6, 75, 99, 31 ]
25
[ "99-6=93", "75*31=2325", "2325/93=25" ]
Current State: 25:[6, 75, 99, 31], Operations: [] Exploring Operation: 99-6=93, Resulting Numbers: [75, 31, 93] Generated Node #2: [75, 31, 93] from Operation: 99-6=93 Current State: 25:[75, 31, 93], Operations: ['99-6=93'] Exploring Operation: 75*31=2325, Resulting Numbers: [93, 2325] Generated Node #3: [93, 2325] from Operation: 75*31=2325 Current State: 25:[93, 2325], Operations: ['99-6=93', '75*31=2325'] Exploring Operation: 2325/93=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 9, 3, 13, 7 ]
69
[ "13+7=20", "3*20=60", "9+60=69" ]
Current State: 69:[9, 3, 13, 7], Operations: [] Exploring Operation: 13+7=20, Resulting Numbers: [9, 3, 20] Generated Node #2: [9, 3, 20] from Operation: 13+7=20 Current State: 69:[9, 3, 20], Operations: ['13+7=20'] Exploring Operation: 3*20=60, Resulting Numbers: [9, 60] Generated Node #3: [9, 60] from Operation: 3*20=60 Current State: 69:[9, 60], Operations: ['13+7=20', '3*20=60'] Exploring Operation: 9+60=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 59, 82, 27, 62 ]
52
[ "59+82=141", "27+62=89", "141-89=52" ]
Current State: 52:[59, 82, 27, 62], Operations: [] Exploring Operation: 59+82=141, Resulting Numbers: [27, 62, 141] Generated Node #2: [27, 62, 141] from Operation: 59+82=141 Current State: 52:[27, 62, 141], Operations: ['59+82=141'] Exploring Operation: 27+62=89, Resulting Numbers: [141, 89] Generated Node #3: [141, 89] from Operation: 27+62=89 Current State: 52:[141, 89], Operations: ['59+82=141', '27+62=89'] Exploring Operation: 141-89=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 1, 3, 90, 3 ]
81
[ "1*3=3", "3*3=9", "90-9=81" ]
Current State: 81:[1, 3, 90, 3], Operations: [] Exploring Operation: 1*3=3, Resulting Numbers: [90, 3] Generated Node #2: [90, 3] from Operation: 1*3=3 Current State: 81:[90, 3], Operations: ['1*3=3'] Exploring Operation: 3*3=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 3*3=9 Current State: 81:[90, 9], Operations: ['1*3=3', '3*3=9'] Exploring Operation: 90-9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 70, 18, 66, 52 ]
30
[ "70+18=88", "66+52=118", "118-88=30" ]
Current State: 30:[70, 18, 66, 52], Operations: [] Exploring Operation: 70+18=88, Resulting Numbers: [66, 52, 88] Generated Node #2: [66, 52, 88] from Operation: 70+18=88 Current State: 30:[66, 52, 88], Operations: ['70+18=88'] Exploring Operation: 66+52=118, Resulting Numbers: [88, 118] Generated Node #3: [88, 118] from Operation: 66+52=118 Current State: 30:[88, 118], Operations: ['70+18=88', '66+52=118'] Exploring Operation: 118-88=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 77, 80, 19, 22 ]
85
[ "80-77=3", "22*3=66", "19+66=85" ]
Current State: 85:[77, 80, 19, 22], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [19, 22, 3] Generated Node #2: [19, 22, 3] from Operation: 80-77=3 Current State: 85:[19, 22, 3], Operations: ['80-77=3'] Exploring Operation: 22*3=66, Resulting Numbers: [19, 66] Generated Node #3: [19, 66] from Operation: 22*3=66 Current State: 85:[19, 66], Operations: ['80-77=3', '22*3=66'] Exploring Operation: 19+66=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 31, 54, 43, 96 ]
78
[ "54*43=2322", "96+2322=2418", "2418/31=78" ]
Current State: 78:[31, 54, 43, 96], Operations: [] Exploring Operation: 54*43=2322, Resulting Numbers: [31, 96, 2322] Generated Node #2: [31, 96, 2322] from Operation: 54*43=2322 Current State: 78:[31, 96, 2322], Operations: ['54*43=2322'] Exploring Operation: 96+2322=2418, Resulting Numbers: [31, 2418] Generated Node #3: [31, 2418] from Operation: 96+2322=2418 Current State: 78:[31, 2418], Operations: ['54*43=2322', '96+2322=2418'] Exploring Operation: 2418/31=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 64, 16, 28, 52 ]
95
[ "28*52=1456", "64+1456=1520", "1520/16=95" ]
Current State: 95:[64, 16, 28, 52], Operations: [] Exploring Operation: 28*52=1456, Resulting Numbers: [64, 16, 1456] Generated Node #2: [64, 16, 1456] from Operation: 28*52=1456 Current State: 95:[64, 16, 1456], Operations: ['28*52=1456'] Exploring Operation: 64+1456=1520, Resulting Numbers: [16, 1520] Generated Node #3: [16, 1520] from Operation: 64+1456=1520 Current State: 95:[16, 1520], Operations: ['28*52=1456', '64+1456=1520'] Exploring Operation: 1520/16=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 1, 8, 16, 42 ]
20
[ "16/8=2", "42/2=21", "21-1=20" ]
Current State: 20:[1, 8, 16, 42], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [1, 42, 2] Generated Node #2: [1, 42, 2] from Operation: 16/8=2 Current State: 20:[1, 42, 2], Operations: ['16/8=2'] Exploring Operation: 42/2=21, Resulting Numbers: [1, 21] Generated Node #3: [1, 21] from Operation: 42/2=21 Current State: 20:[1, 21], Operations: ['16/8=2', '42/2=21'] Exploring Operation: 21-1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 11, 32, 2, 5 ]
33
[ "11+32=43", "2*5=10", "43-10=33" ]
Current State: 33:[11, 32, 2, 5], Operations: [] Exploring Operation: 11+32=43, Resulting Numbers: [2, 5, 43] Generated Node #2: [2, 5, 43] from Operation: 11+32=43 Current State: 33:[2, 5, 43], Operations: ['11+32=43'] Exploring Operation: 2*5=10, Resulting Numbers: [43, 10] Generated Node #3: [43, 10] from Operation: 2*5=10 Current State: 33:[43, 10], Operations: ['11+32=43', '2*5=10'] Exploring Operation: 43-10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 45, 4, 36, 55 ]
31
[ "55-36=19", "4*19=76", "76-45=31" ]
Current State: 31:[45, 4, 36, 55], Operations: [] Exploring Operation: 55-36=19, Resulting Numbers: [45, 4, 19] Generated Node #2: [45, 4, 19] from Operation: 55-36=19 Current State: 31:[45, 4, 19], Operations: ['55-36=19'] Exploring Operation: 4*19=76, Resulting Numbers: [45, 76] Generated Node #3: [45, 76] from Operation: 4*19=76 Current State: 31:[45, 76], Operations: ['55-36=19', '4*19=76'] Exploring Operation: 76-45=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 5, 48, 57, 23 ]
87
[ "5+48=53", "57-23=34", "53+34=87" ]
Current State: 87:[5, 48, 57, 23], Operations: [] Exploring Operation: 5+48=53, Resulting Numbers: [57, 23, 53] Generated Node #2: [57, 23, 53] from Operation: 5+48=53 Current State: 87:[57, 23, 53], Operations: ['5+48=53'] Exploring Operation: 57-23=34, Resulting Numbers: [53, 34] Generated Node #3: [53, 34] from Operation: 57-23=34 Current State: 87:[53, 34], Operations: ['5+48=53', '57-23=34'] Exploring Operation: 53+34=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 11, 98, 58, 62 ]
93
[ "98-11=87", "62*87=5394", "5394/58=93" ]
Current State: 93:[11, 98, 58, 62], Operations: [] Exploring Operation: 98-11=87, Resulting Numbers: [58, 62, 87] Generated Node #2: [58, 62, 87] from Operation: 98-11=87 Current State: 93:[58, 62, 87], Operations: ['98-11=87'] Exploring Operation: 62*87=5394, Resulting Numbers: [58, 5394] Generated Node #3: [58, 5394] from Operation: 62*87=5394 Current State: 93:[58, 5394], Operations: ['98-11=87', '62*87=5394'] Exploring Operation: 5394/58=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 16, 65, 22, 47 ]
29
[ "65+47=112", "112/16=7", "22+7=29" ]
Current State: 29:[16, 65, 22, 47], Operations: [] Exploring Operation: 65+47=112, Resulting Numbers: [16, 22, 112] Generated Node #2: [16, 22, 112] from Operation: 65+47=112 Current State: 29:[16, 22, 112], Operations: ['65+47=112'] Exploring Operation: 112/16=7, Resulting Numbers: [22, 7] Generated Node #3: [22, 7] from Operation: 112/16=7 Current State: 29:[22, 7], Operations: ['65+47=112', '112/16=7'] Exploring Operation: 22+7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 10, 92, 26, 78 ]
85
[ "92-10=82", "78/26=3", "82+3=85" ]
Current State: 85:[10, 92, 26, 78], Operations: [] Exploring Operation: 92-10=82, Resulting Numbers: [26, 78, 82] Generated Node #2: [26, 78, 82] from Operation: 92-10=82 Current State: 85:[26, 78, 82], Operations: ['92-10=82'] Exploring Operation: 78/26=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 78/26=3 Current State: 85:[82, 3], Operations: ['92-10=82', '78/26=3'] Exploring Operation: 82+3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 56, 29, 32, 90 ]
54
[ "90-32=58", "58/29=2", "56-2=54" ]
Current State: 54:[56, 29, 32, 90], Operations: [] Exploring Operation: 90-32=58, Resulting Numbers: [56, 29, 58] Generated Node #2: [56, 29, 58] from Operation: 90-32=58 Current State: 54:[56, 29, 58], Operations: ['90-32=58'] Exploring Operation: 58/29=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 58/29=2 Current State: 54:[56, 2], Operations: ['90-32=58', '58/29=2'] Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 88, 8, 69, 59 ]
90
[ "88-8=80", "69-59=10", "80+10=90" ]
Current State: 90:[88, 8, 69, 59], Operations: [] Exploring Operation: 88-8=80, Resulting Numbers: [69, 59, 80] Generated Node #2: [69, 59, 80] from Operation: 88-8=80 Current State: 90:[69, 59, 80], Operations: ['88-8=80'] Exploring Operation: 69-59=10, Resulting Numbers: [80, 10] Generated Node #3: [80, 10] from Operation: 69-59=10 Current State: 90:[80, 10], Operations: ['88-8=80', '69-59=10'] Exploring Operation: 80+10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 28, 61, 98, 45 ]
86
[ "61-28=33", "98-45=53", "33+53=86" ]
Current State: 86:[28, 61, 98, 45], Operations: [] Exploring Operation: 61-28=33, Resulting Numbers: [98, 45, 33] Generated Node #2: [98, 45, 33] from Operation: 61-28=33 Current State: 86:[98, 45, 33], Operations: ['61-28=33'] Exploring Operation: 98-45=53, Resulting Numbers: [33, 53] Generated Node #3: [33, 53] from Operation: 98-45=53 Current State: 86:[33, 53], Operations: ['61-28=33', '98-45=53'] Exploring Operation: 33+53=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 78, 9, 89, 87 ]
89
[ "78+9=87", "89+87=176", "176-87=89" ]
Current State: 89:[78, 9, 89, 87], Operations: [] Exploring Operation: 78+9=87, Resulting Numbers: [89, 87, 87] Generated Node #2: [89, 87, 87] from Operation: 78+9=87 Current State: 89:[89, 87, 87], Operations: ['78+9=87'] Exploring Operation: 89+87=176, Resulting Numbers: [176] 176,89 equal: Goal Reached Exploring Operation: 176-87=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 72, 51, 60, 2 ]
15
[ "72+60=132", "132/2=66", "66-51=15" ]
Current State: 15:[72, 51, 60, 2], Operations: [] Exploring Operation: 72+60=132, Resulting Numbers: [51, 2, 132] Generated Node #2: [51, 2, 132] from Operation: 72+60=132 Current State: 15:[51, 2, 132], Operations: ['72+60=132'] Exploring Operation: 132/2=66, Resulting Numbers: [51, 66] Generated Node #3: [51, 66] from Operation: 132/2=66 Current State: 15:[51, 66], Operations: ['72+60=132', '132/2=66'] Exploring Operation: 66-51=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 83, 61, 16, 27 ]
33
[ "83-61=22", "27-16=11", "22+11=33" ]
Current State: 33:[83, 61, 16, 27], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [16, 27, 22] Generated Node #2: [16, 27, 22] from Operation: 83-61=22 Current State: 33:[16, 27, 22], Operations: ['83-61=22'] Exploring Operation: 27-16=11, Resulting Numbers: [22, 11] Generated Node #3: [22, 11] from Operation: 27-16=11 Current State: 33:[22, 11], Operations: ['83-61=22', '27-16=11'] Exploring Operation: 22+11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 91, 90, 3, 22 ]
67
[ "91-90=1", "3*22=66", "1+66=67" ]
Current State: 67:[91, 90, 3, 22], Operations: [] Exploring Operation: 91-90=1, Resulting Numbers: [3, 22, 1] Generated Node #2: [3, 22, 1] from Operation: 91-90=1 Current State: 67:[3, 22, 1], Operations: ['91-90=1'] Exploring Operation: 3*22=66, Resulting Numbers: [1, 66] Generated Node #3: [1, 66] from Operation: 3*22=66 Current State: 67:[1, 66], Operations: ['91-90=1', '3*22=66'] Exploring Operation: 1+66=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 62, 8, 69, 21 ]
68
[ "69-21=48", "48/8=6", "62+6=68" ]
Current State: 68:[62, 8, 69, 21], Operations: [] Exploring Operation: 69-21=48, Resulting Numbers: [62, 8, 48] Generated Node #2: [62, 8, 48] from Operation: 69-21=48 Current State: 68:[62, 8, 48], Operations: ['69-21=48'] Exploring Operation: 48/8=6, Resulting Numbers: [62, 6] Generated Node #3: [62, 6] from Operation: 48/8=6 Current State: 68:[62, 6], Operations: ['69-21=48', '48/8=6'] Exploring Operation: 62+6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 38, 58, 88, 94 ]
44
[ "38+58=96", "96-94=2", "88/2=44" ]
Current State: 44:[38, 58, 88, 94], Operations: [] Exploring Operation: 38+58=96, Resulting Numbers: [88, 94, 96] Generated Node #2: [88, 94, 96] from Operation: 38+58=96 Current State: 44:[88, 94, 96], Operations: ['38+58=96'] Exploring Operation: 96-94=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 96-94=2 Current State: 44:[88, 2], Operations: ['38+58=96', '96-94=2'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 13, 5, 15, 59 ]
27
[ "15-13=2", "59-5=54", "54/2=27" ]
Current State: 27:[13, 5, 15, 59], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [5, 59, 2] Generated Node #2: [5, 59, 2] from Operation: 15-13=2 Current State: 27:[5, 59, 2], Operations: ['15-13=2'] Exploring Operation: 59-5=54, Resulting Numbers: [2, 54] Generated Node #3: [2, 54] from Operation: 59-5=54 Current State: 27:[2, 54], Operations: ['15-13=2', '59-5=54'] Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 87, 92, 2, 16 ]
27
[ "92-87=5", "2*16=32", "32-5=27" ]
Current State: 27:[87, 92, 2, 16], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [2, 16, 5] Generated Node #2: [2, 16, 5] from Operation: 92-87=5 Current State: 27:[2, 16, 5], Operations: ['92-87=5'] Exploring Operation: 2*16=32, Resulting Numbers: [5, 32] Generated Node #3: [5, 32] from Operation: 2*16=32 Current State: 27:[5, 32], Operations: ['92-87=5', '2*16=32'] Exploring Operation: 32-5=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 3, 11, 43, 35 ]
92
[ "3+11=14", "43+35=78", "14+78=92" ]
Current State: 92:[3, 11, 43, 35], Operations: [] Exploring Operation: 3+11=14, Resulting Numbers: [43, 35, 14] Generated Node #2: [43, 35, 14] from Operation: 3+11=14 Current State: 92:[43, 35, 14], Operations: ['3+11=14'] Exploring Operation: 43+35=78, Resulting Numbers: [14, 78] Generated Node #3: [14, 78] from Operation: 43+35=78 Current State: 92:[14, 78], Operations: ['3+11=14', '43+35=78'] Exploring Operation: 14+78=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 10, 4, 55, 82 ]
13
[ "10+4=14", "82-55=27", "27-14=13" ]
Current State: 13:[10, 4, 55, 82], Operations: [] Exploring Operation: 10+4=14, Resulting Numbers: [55, 82, 14] Generated Node #2: [55, 82, 14] from Operation: 10+4=14 Current State: 13:[55, 82, 14], Operations: ['10+4=14'] Exploring Operation: 82-55=27, Resulting Numbers: [14, 27] Generated Node #3: [14, 27] from Operation: 82-55=27 Current State: 13:[14, 27], Operations: ['10+4=14', '82-55=27'] Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 55, 95, 75, 21 ]
60
[ "55+21=76", "75*76=5700", "5700/95=60" ]
Current State: 60:[55, 95, 75, 21], Operations: [] Exploring Operation: 55+21=76, Resulting Numbers: [95, 75, 76] Generated Node #2: [95, 75, 76] from Operation: 55+21=76 Current State: 60:[95, 75, 76], Operations: ['55+21=76'] Exploring Operation: 75*76=5700, Resulting Numbers: [95, 5700] Generated Node #3: [95, 5700] from Operation: 75*76=5700 Current State: 60:[95, 5700], Operations: ['55+21=76', '75*76=5700'] Exploring Operation: 5700/95=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 17, 15, 58, 57 ]
31
[ "17+15=32", "58-57=1", "32-1=31" ]
Current State: 31:[17, 15, 58, 57], Operations: [] Exploring Operation: 17+15=32, Resulting Numbers: [58, 57, 32] Generated Node #2: [58, 57, 32] from Operation: 17+15=32 Current State: 31:[58, 57, 32], Operations: ['17+15=32'] Exploring Operation: 58-57=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 58-57=1 Current State: 31:[32, 1], Operations: ['17+15=32', '58-57=1'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 62, 55, 11, 35 ]
22
[ "62-35=27", "55/11=5", "27-5=22" ]
Current State: 22:[62, 55, 11, 35], Operations: [] Exploring Operation: 62-35=27, Resulting Numbers: [55, 11, 27] Generated Node #2: [55, 11, 27] from Operation: 62-35=27 Current State: 22:[55, 11, 27], Operations: ['62-35=27'] Exploring Operation: 55/11=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 55/11=5 Current State: 22:[27, 5], Operations: ['62-35=27', '55/11=5'] Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 65, 2, 62, 73 ]
52
[ "65-2=63", "73-62=11", "63-11=52" ]
Current State: 52:[65, 2, 62, 73], Operations: [] Exploring Operation: 65-2=63, Resulting Numbers: [62, 73, 63] Generated Node #2: [62, 73, 63] from Operation: 65-2=63 Current State: 52:[62, 73, 63], Operations: ['65-2=63'] Exploring Operation: 73-62=11, Resulting Numbers: [63, 11] Generated Node #3: [63, 11] from Operation: 73-62=11 Current State: 52:[63, 11], Operations: ['65-2=63', '73-62=11'] Exploring Operation: 63-11=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 44, 70, 96, 63 ]
61
[ "44+96=140", "140/70=2", "63-2=61" ]
Current State: 61:[44, 70, 96, 63], Operations: [] Exploring Operation: 44+96=140, Resulting Numbers: [70, 63, 140] Generated Node #2: [70, 63, 140] from Operation: 44+96=140 Current State: 61:[70, 63, 140], Operations: ['44+96=140'] Exploring Operation: 140/70=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 140/70=2 Current State: 61:[63, 2], Operations: ['44+96=140', '140/70=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 91, 26, 27, 2 ]
88
[ "91+26=117", "27+2=29", "117-29=88" ]
Current State: 88:[91, 26, 27, 2], Operations: [] Exploring Operation: 91+26=117, Resulting Numbers: [27, 2, 117] Generated Node #2: [27, 2, 117] from Operation: 91+26=117 Current State: 88:[27, 2, 117], Operations: ['91+26=117'] Exploring Operation: 27+2=29, Resulting Numbers: [117, 29] Generated Node #3: [117, 29] from Operation: 27+2=29 Current State: 88:[117, 29], Operations: ['91+26=117', '27+2=29'] Exploring Operation: 117-29=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 19, 34, 38, 80 ]
44
[ "38/19=2", "80-34=46", "46-2=44" ]
Current State: 44:[19, 34, 38, 80], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [34, 80, 2] Generated Node #2: [34, 80, 2] from Operation: 38/19=2 Current State: 44:[34, 80, 2], Operations: ['38/19=2'] Exploring Operation: 80-34=46, Resulting Numbers: [2, 46] Generated Node #3: [2, 46] from Operation: 80-34=46 Current State: 44:[2, 46], Operations: ['38/19=2', '80-34=46'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 31, 13, 54, 71 ]
61
[ "31+13=44", "71-54=17", "44+17=61" ]
Current State: 61:[31, 13, 54, 71], Operations: [] Exploring Operation: 31+13=44, Resulting Numbers: [54, 71, 44] Generated Node #2: [54, 71, 44] from Operation: 31+13=44 Current State: 61:[54, 71, 44], Operations: ['31+13=44'] Exploring Operation: 71-54=17, Resulting Numbers: [44, 17] Generated Node #3: [44, 17] from Operation: 71-54=17 Current State: 61:[44, 17], Operations: ['31+13=44', '71-54=17'] Exploring Operation: 44+17=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 24, 60, 42, 8 ]
84
[ "42-24=18", "8*18=144", "144-60=84" ]
Current State: 84:[24, 60, 42, 8], Operations: [] Exploring Operation: 42-24=18, Resulting Numbers: [60, 8, 18] Generated Node #2: [60, 8, 18] from Operation: 42-24=18 Current State: 84:[60, 8, 18], Operations: ['42-24=18'] Exploring Operation: 8*18=144, Resulting Numbers: [60, 144] Generated Node #3: [60, 144] from Operation: 8*18=144 Current State: 84:[60, 144], Operations: ['42-24=18', '8*18=144'] Exploring Operation: 144-60=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 53, 30, 79, 99 ]
40
[ "53+79=132", "30*132=3960", "3960/99=40" ]
Current State: 40:[53, 30, 79, 99], Operations: [] Exploring Operation: 53+79=132, Resulting Numbers: [30, 99, 132] Generated Node #2: [30, 99, 132] from Operation: 53+79=132 Current State: 40:[30, 99, 132], Operations: ['53+79=132'] Exploring Operation: 30*132=3960, Resulting Numbers: [99, 3960] Generated Node #3: [99, 3960] from Operation: 30*132=3960 Current State: 40:[99, 3960], Operations: ['53+79=132', '30*132=3960'] Exploring Operation: 3960/99=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 56, 94, 25, 73 ]
67
[ "56+94=150", "150/25=6", "73-6=67" ]
Current State: 67:[56, 94, 25, 73], Operations: [] Exploring Operation: 56+94=150, Resulting Numbers: [25, 73, 150] Generated Node #2: [25, 73, 150] from Operation: 56+94=150 Current State: 67:[25, 73, 150], Operations: ['56+94=150'] Exploring Operation: 150/25=6, Resulting Numbers: [73, 6] Generated Node #3: [73, 6] from Operation: 150/25=6 Current State: 67:[73, 6], Operations: ['56+94=150', '150/25=6'] Exploring Operation: 73-6=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 16, 19, 36, 65 ]
77
[ "19-16=3", "36/3=12", "65+12=77" ]
Current State: 77:[16, 19, 36, 65], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [36, 65, 3] Generated Node #2: [36, 65, 3] from Operation: 19-16=3 Current State: 77:[36, 65, 3], Operations: ['19-16=3'] Exploring Operation: 36/3=12, Resulting Numbers: [65, 12] Generated Node #3: [65, 12] from Operation: 36/3=12 Current State: 77:[65, 12], Operations: ['19-16=3', '36/3=12'] Exploring Operation: 65+12=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 14, 24, 13, 31 ]
77
[ "31-24=7", "13*7=91", "91-14=77" ]
Current State: 77:[14, 24, 13, 31], Operations: [] Exploring Operation: 31-24=7, Resulting Numbers: [14, 13, 7] Generated Node #2: [14, 13, 7] from Operation: 31-24=7 Current State: 77:[14, 13, 7], Operations: ['31-24=7'] Exploring Operation: 13*7=91, Resulting Numbers: [14, 91] Generated Node #3: [14, 91] from Operation: 13*7=91 Current State: 77:[14, 91], Operations: ['31-24=7', '13*7=91'] Exploring Operation: 91-14=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 70, 94, 65, 84 ]
16
[ "65*84=5460", "5460/70=78", "94-78=16" ]
Current State: 16:[70, 94, 65, 84], Operations: [] Exploring Operation: 65*84=5460, Resulting Numbers: [70, 94, 5460] Generated Node #2: [70, 94, 5460] from Operation: 65*84=5460 Current State: 16:[70, 94, 5460], Operations: ['65*84=5460'] Exploring Operation: 5460/70=78, Resulting Numbers: [94, 78] Generated Node #3: [94, 78] from Operation: 5460/70=78 Current State: 16:[94, 78], Operations: ['65*84=5460', '5460/70=78'] Exploring Operation: 94-78=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 7, 10, 18, 4 ]
28
[ "18-10=8", "8-4=4", "7*4=28" ]
Current State: 28:[7, 10, 18, 4], Operations: [] Exploring Operation: 18-10=8, Resulting Numbers: [7, 4, 8] Generated Node #2: [7, 4, 8] from Operation: 18-10=8 Current State: 28:[7, 4, 8], Operations: ['18-10=8'] Exploring Operation: 8-4=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 8-4=4 Current State: 28:[7, 4], Operations: ['18-10=8', '8-4=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 46, 13, 10, 53 ]
33
[ "46+53=99", "13-10=3", "99/3=33" ]
Current State: 33:[46, 13, 10, 53], Operations: [] Exploring Operation: 46+53=99, Resulting Numbers: [13, 10, 99] Generated Node #2: [13, 10, 99] from Operation: 46+53=99 Current State: 33:[13, 10, 99], Operations: ['46+53=99'] Exploring Operation: 13-10=3, Resulting Numbers: [99, 3] Generated Node #3: [99, 3] from Operation: 13-10=3 Current State: 33:[99, 3], Operations: ['46+53=99', '13-10=3'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 10, 81, 4, 86 ]
72
[ "4+86=90", "90/10=9", "81-9=72" ]
Current State: 72:[10, 81, 4, 86], Operations: [] Exploring Operation: 4+86=90, Resulting Numbers: [10, 81, 90] Generated Node #2: [10, 81, 90] from Operation: 4+86=90 Current State: 72:[10, 81, 90], Operations: ['4+86=90'] Exploring Operation: 90/10=9, Resulting Numbers: [81, 9] Generated Node #3: [81, 9] from Operation: 90/10=9 Current State: 72:[81, 9], Operations: ['4+86=90', '90/10=9'] Exploring Operation: 81-9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 33, 12, 83, 35 ]
89
[ "35-33=2", "12/2=6", "83+6=89" ]
Current State: 89:[33, 12, 83, 35], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [12, 83, 2] Generated Node #2: [12, 83, 2] from Operation: 35-33=2 Current State: 89:[12, 83, 2], Operations: ['35-33=2'] Exploring Operation: 12/2=6, Resulting Numbers: [83, 6] Generated Node #3: [83, 6] from Operation: 12/2=6 Current State: 89:[83, 6], Operations: ['35-33=2', '12/2=6'] Exploring Operation: 83+6=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 96, 76, 11, 87 ]
78
[ "96-76=20", "11+87=98", "98-20=78" ]
Current State: 78:[96, 76, 11, 87], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [11, 87, 20] Generated Node #2: [11, 87, 20] from Operation: 96-76=20 Current State: 78:[11, 87, 20], Operations: ['96-76=20'] Exploring Operation: 11+87=98, Resulting Numbers: [20, 98] Generated Node #3: [20, 98] from Operation: 11+87=98 Current State: 78:[20, 98], Operations: ['96-76=20', '11+87=98'] Exploring Operation: 98-20=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 88, 40, 52, 34 ]
20
[ "88-52=36", "36-34=2", "40/2=20" ]
Current State: 20:[88, 40, 52, 34], Operations: [] Exploring Operation: 88-52=36, Resulting Numbers: [40, 34, 36] Generated Node #2: [40, 34, 36] from Operation: 88-52=36 Current State: 20:[40, 34, 36], Operations: ['88-52=36'] Exploring Operation: 36-34=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 36-34=2 Current State: 20:[40, 2], Operations: ['88-52=36', '36-34=2'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 27, 16, 85, 59 ]
69
[ "27+16=43", "85-59=26", "43+26=69" ]
Current State: 69:[27, 16, 85, 59], Operations: [] Exploring Operation: 27+16=43, Resulting Numbers: [85, 59, 43] Generated Node #2: [85, 59, 43] from Operation: 27+16=43 Current State: 69:[85, 59, 43], Operations: ['27+16=43'] Exploring Operation: 85-59=26, Resulting Numbers: [43, 26] Generated Node #3: [43, 26] from Operation: 85-59=26 Current State: 69:[43, 26], Operations: ['27+16=43', '85-59=26'] Exploring Operation: 43+26=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 30, 79, 18, 5 ]
76
[ "30/5=6", "18/6=3", "79-3=76" ]
Current State: 76:[30, 79, 18, 5], Operations: [] Exploring Operation: 30/5=6, Resulting Numbers: [79, 18, 6] Generated Node #2: [79, 18, 6] from Operation: 30/5=6 Current State: 76:[79, 18, 6], Operations: ['30/5=6'] Exploring Operation: 18/6=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 18/6=3 Current State: 76:[79, 3], Operations: ['30/5=6', '18/6=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 73, 4, 28, 96 ]
69
[ "73-28=45", "96/4=24", "45+24=69" ]
Current State: 69:[73, 4, 28, 96], Operations: [] Exploring Operation: 73-28=45, Resulting Numbers: [4, 96, 45] Generated Node #2: [4, 96, 45] from Operation: 73-28=45 Current State: 69:[4, 96, 45], Operations: ['73-28=45'] Exploring Operation: 96/4=24, Resulting Numbers: [45, 24] Generated Node #3: [45, 24] from Operation: 96/4=24 Current State: 69:[45, 24], Operations: ['73-28=45', '96/4=24'] Exploring Operation: 45+24=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 84, 76, 44, 8 ]
92
[ "84+44=128", "128/8=16", "76+16=92" ]
Current State: 92:[84, 76, 44, 8], Operations: [] Exploring Operation: 84+44=128, Resulting Numbers: [76, 8, 128] Generated Node #2: [76, 8, 128] from Operation: 84+44=128 Current State: 92:[76, 8, 128], Operations: ['84+44=128'] Exploring Operation: 128/8=16, Resulting Numbers: [76, 16] Generated Node #3: [76, 16] from Operation: 128/8=16 Current State: 92:[76, 16], Operations: ['84+44=128', '128/8=16'] Exploring Operation: 76+16=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 17, 20, 64, 17 ]
27
[ "20-17=3", "64+17=81", "81/3=27" ]
Current State: 27:[17, 20, 64, 17], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [64, 3] Generated Node #2: [64, 3] from Operation: 20-17=3 Current State: 27:[64, 3], Operations: ['20-17=3'] Exploring Operation: 64+17=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 64+17=81 Current State: 27:[3, 81], Operations: ['20-17=3', '64+17=81'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 17, 49, 3, 18 ]
85
[ "3*18=54", "54-49=5", "17*5=85" ]
Current State: 85:[17, 49, 3, 18], Operations: [] Exploring Operation: 3*18=54, Resulting Numbers: [17, 49, 54] Generated Node #2: [17, 49, 54] from Operation: 3*18=54 Current State: 85:[17, 49, 54], Operations: ['3*18=54'] Exploring Operation: 54-49=5, Resulting Numbers: [17, 5] Generated Node #3: [17, 5] from Operation: 54-49=5 Current State: 85:[17, 5], Operations: ['3*18=54', '54-49=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 8, 35, 63, 65 ]
62
[ "65-63=2", "35*2=70", "70-8=62" ]
Current State: 62:[8, 35, 63, 65], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [8, 35, 2] Generated Node #2: [8, 35, 2] from Operation: 65-63=2 Current State: 62:[8, 35, 2], Operations: ['65-63=2'] Exploring Operation: 35*2=70, Resulting Numbers: [8, 70] Generated Node #3: [8, 70] from Operation: 35*2=70 Current State: 62:[8, 70], Operations: ['65-63=2', '35*2=70'] Exploring Operation: 70-8=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 33, 45, 25, 99 ]
18
[ "33-25=8", "45+99=144", "144/8=18" ]
Current State: 18:[33, 45, 25, 99], Operations: [] Exploring Operation: 33-25=8, Resulting Numbers: [45, 99, 8] Generated Node #2: [45, 99, 8] from Operation: 33-25=8 Current State: 18:[45, 99, 8], Operations: ['33-25=8'] Exploring Operation: 45+99=144, Resulting Numbers: [8, 144] Generated Node #3: [8, 144] from Operation: 45+99=144 Current State: 18:[8, 144], Operations: ['33-25=8', '45+99=144'] Exploring Operation: 144/8=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 69, 19, 39, 3 ]
52
[ "69+19=88", "39-3=36", "88-36=52" ]
Current State: 52:[69, 19, 39, 3], Operations: [] Exploring Operation: 69+19=88, Resulting Numbers: [39, 3, 88] Generated Node #2: [39, 3, 88] from Operation: 69+19=88 Current State: 52:[39, 3, 88], Operations: ['69+19=88'] Exploring Operation: 39-3=36, Resulting Numbers: [88, 36] Generated Node #3: [88, 36] from Operation: 39-3=36 Current State: 52:[88, 36], Operations: ['69+19=88', '39-3=36'] Exploring Operation: 88-36=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 16, 48, 46, 48 ]
91
[ "48/16=3", "46+48=94", "94-3=91" ]
Current State: 91:[16, 48, 46, 48], Operations: [] Exploring Operation: 48/16=3, Resulting Numbers: [46, 3] Generated Node #2: [46, 3] from Operation: 48/16=3 Current State: 91:[46, 3], Operations: ['48/16=3'] Exploring Operation: 46+48=94, Resulting Numbers: [3, 94] Generated Node #3: [3, 94] from Operation: 46+48=94 Current State: 91:[3, 94], Operations: ['48/16=3', '46+48=94'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 57, 94, 21, 59 ]
36
[ "57*59=3363", "21+3363=3384", "3384/94=36" ]
Current State: 36:[57, 94, 21, 59], Operations: [] Exploring Operation: 57*59=3363, Resulting Numbers: [94, 21, 3363] Generated Node #2: [94, 21, 3363] from Operation: 57*59=3363 Current State: 36:[94, 21, 3363], Operations: ['57*59=3363'] Exploring Operation: 21+3363=3384, Resulting Numbers: [94, 3384] Generated Node #3: [94, 3384] from Operation: 21+3363=3384 Current State: 36:[94, 3384], Operations: ['57*59=3363', '21+3363=3384'] Exploring Operation: 3384/94=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 70, 35, 29, 38 ]
32
[ "70-35=35", "29+38=67", "67-35=32" ]
Current State: 32:[70, 35, 29, 38], Operations: [] Exploring Operation: 70-35=35, Resulting Numbers: [29, 38, 35] Generated Node #2: [29, 38, 35] from Operation: 70-35=35 Current State: 32:[29, 38, 35], Operations: ['70-35=35'] Exploring Operation: 29+38=67, Resulting Numbers: [35, 67] Generated Node #3: [35, 67] from Operation: 29+38=67 Current State: 32:[35, 67], Operations: ['70-35=35', '29+38=67'] Exploring Operation: 67-35=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 11, 24, 13, 91 ]
76
[ "11*13=143", "91-24=67", "143-67=76" ]
Current State: 76:[11, 24, 13, 91], Operations: [] Exploring Operation: 11*13=143, Resulting Numbers: [24, 91, 143] Generated Node #2: [24, 91, 143] from Operation: 11*13=143 Current State: 76:[24, 91, 143], Operations: ['11*13=143'] Exploring Operation: 91-24=67, Resulting Numbers: [143, 67] Generated Node #3: [143, 67] from Operation: 91-24=67 Current State: 76:[143, 67], Operations: ['11*13=143', '91-24=67'] Exploring Operation: 143-67=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 6, 8, 60 ]
98
[ "4*8=32", "6+60=66", "32+66=98" ]
Current State: 98:[4, 6, 8, 60], Operations: [] Exploring Operation: 4*8=32, Resulting Numbers: [6, 60, 32] Generated Node #2: [6, 60, 32] from Operation: 4*8=32 Current State: 98:[6, 60, 32], Operations: ['4*8=32'] Exploring Operation: 6+60=66, Resulting Numbers: [32, 66] Generated Node #3: [32, 66] from Operation: 6+60=66 Current State: 98:[32, 66], Operations: ['4*8=32', '6+60=66'] Exploring Operation: 32+66=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 11, 26, 58, 30 ]
34
[ "58+30=88", "88/11=8", "26+8=34" ]
Current State: 34:[11, 26, 58, 30], Operations: [] Exploring Operation: 58+30=88, Resulting Numbers: [11, 26, 88] Generated Node #2: [11, 26, 88] from Operation: 58+30=88 Current State: 34:[11, 26, 88], Operations: ['58+30=88'] Exploring Operation: 88/11=8, Resulting Numbers: [26, 8] Generated Node #3: [26, 8] from Operation: 88/11=8 Current State: 34:[26, 8], Operations: ['58+30=88', '88/11=8'] Exploring Operation: 26+8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 44, 33, 58, 35 ]
12
[ "44-33=11", "58-35=23", "23-11=12" ]
Current State: 12:[44, 33, 58, 35], Operations: [] Exploring Operation: 44-33=11, Resulting Numbers: [58, 35, 11] Generated Node #2: [58, 35, 11] from Operation: 44-33=11 Current State: 12:[58, 35, 11], Operations: ['44-33=11'] Exploring Operation: 58-35=23, Resulting Numbers: [11, 23] Generated Node #3: [11, 23] from Operation: 58-35=23 Current State: 12:[11, 23], Operations: ['44-33=11', '58-35=23'] Exploring Operation: 23-11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 33, 10, 38, 43 ]
28
[ "33-10=23", "43-38=5", "23+5=28" ]
Current State: 28:[33, 10, 38, 43], Operations: [] Exploring Operation: 33-10=23, Resulting Numbers: [38, 43, 23] Generated Node #2: [38, 43, 23] from Operation: 33-10=23 Current State: 28:[38, 43, 23], Operations: ['33-10=23'] Exploring Operation: 43-38=5, Resulting Numbers: [23, 5] Generated Node #3: [23, 5] from Operation: 43-38=5 Current State: 28:[23, 5], Operations: ['33-10=23', '43-38=5'] Exploring Operation: 23+5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 27, 57, 57, 88 ]
60
[ "88-27=61", "57/57=1", "61-1=60" ]
Current State: 60:[27, 57, 57, 88], Operations: [] Exploring Operation: 88-27=61, Resulting Numbers: [57, 57, 61] Generated Node #2: [57, 57, 61] from Operation: 88-27=61 Current State: 60:[57, 57, 61], Operations: ['88-27=61'] Exploring Operation: 57/57=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 57/57=1 Current State: 60:[61, 1], Operations: ['88-27=61', '57/57=1'] Exploring Operation: 61-1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 67, 71, 22, 86 ]
60
[ "71-67=4", "86-22=64", "64-4=60" ]
Current State: 60:[67, 71, 22, 86], Operations: [] Exploring Operation: 71-67=4, Resulting Numbers: [22, 86, 4] Generated Node #2: [22, 86, 4] from Operation: 71-67=4 Current State: 60:[22, 86, 4], Operations: ['71-67=4'] Exploring Operation: 86-22=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 86-22=64 Current State: 60:[4, 64], Operations: ['71-67=4', '86-22=64'] Exploring Operation: 64-4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 10, 87, 95, 30 ]
60
[ "10+87=97", "97-95=2", "30*2=60" ]
Current State: 60:[10, 87, 95, 30], Operations: [] Exploring Operation: 10+87=97, Resulting Numbers: [95, 30, 97] Generated Node #2: [95, 30, 97] from Operation: 10+87=97 Current State: 60:[95, 30, 97], Operations: ['10+87=97'] Exploring Operation: 97-95=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 97-95=2 Current State: 60:[30, 2], Operations: ['10+87=97', '97-95=2'] Exploring Operation: 30*2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 64, 56, 62, 21 ]
37
[ "64+56=120", "62+21=83", "120-83=37" ]
Current State: 37:[64, 56, 62, 21], Operations: [] Exploring Operation: 64+56=120, Resulting Numbers: [62, 21, 120] Generated Node #2: [62, 21, 120] from Operation: 64+56=120 Current State: 37:[62, 21, 120], Operations: ['64+56=120'] Exploring Operation: 62+21=83, Resulting Numbers: [120, 83] Generated Node #3: [120, 83] from Operation: 62+21=83 Current State: 37:[120, 83], Operations: ['64+56=120', '62+21=83'] Exploring Operation: 120-83=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 87, 24, 75, 32 ]
20
[ "87-24=63", "75-32=43", "63-43=20" ]
Current State: 20:[87, 24, 75, 32], Operations: [] Exploring Operation: 87-24=63, Resulting Numbers: [75, 32, 63] Generated Node #2: [75, 32, 63] from Operation: 87-24=63 Current State: 20:[75, 32, 63], Operations: ['87-24=63'] Exploring Operation: 75-32=43, Resulting Numbers: [63, 43] Generated Node #3: [63, 43] from Operation: 75-32=43 Current State: 20:[63, 43], Operations: ['87-24=63', '75-32=43'] Exploring Operation: 63-43=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 75, 8, 16, 93 ]
20
[ "93-75=18", "16/8=2", "18+2=20" ]
Current State: 20:[75, 8, 16, 93], Operations: [] Exploring Operation: 93-75=18, Resulting Numbers: [8, 16, 18] Generated Node #2: [8, 16, 18] from Operation: 93-75=18 Current State: 20:[8, 16, 18], Operations: ['93-75=18'] Exploring Operation: 16/8=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 16/8=2 Current State: 20:[18, 2], Operations: ['93-75=18', '16/8=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 46, 43, 42, 4 ]
84
[ "46+42=88", "43*4=172", "172-88=84" ]
Current State: 84:[46, 43, 42, 4], Operations: [] Exploring Operation: 46+42=88, Resulting Numbers: [43, 4, 88] Generated Node #2: [43, 4, 88] from Operation: 46+42=88 Current State: 84:[43, 4, 88], Operations: ['46+42=88'] Exploring Operation: 43*4=172, Resulting Numbers: [88, 172] Generated Node #3: [88, 172] from Operation: 43*4=172 Current State: 84:[88, 172], Operations: ['46+42=88', '43*4=172'] Exploring Operation: 172-88=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 65, 26, 31, 12 ]
82
[ "65-26=39", "31+12=43", "39+43=82" ]
Current State: 82:[65, 26, 31, 12], Operations: [] Exploring Operation: 65-26=39, Resulting Numbers: [31, 12, 39] Generated Node #2: [31, 12, 39] from Operation: 65-26=39 Current State: 82:[31, 12, 39], Operations: ['65-26=39'] Exploring Operation: 31+12=43, Resulting Numbers: [39, 43] Generated Node #3: [39, 43] from Operation: 31+12=43 Current State: 82:[39, 43], Operations: ['65-26=39', '31+12=43'] Exploring Operation: 39+43=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 21, 99, 36, 97 ]
93
[ "99-97=2", "36*2=72", "21+72=93" ]
Current State: 93:[21, 99, 36, 97], Operations: [] Exploring Operation: 99-97=2, Resulting Numbers: [21, 36, 2] Generated Node #2: [21, 36, 2] from Operation: 99-97=2 Current State: 93:[21, 36, 2], Operations: ['99-97=2'] Exploring Operation: 36*2=72, Resulting Numbers: [21, 72] Generated Node #3: [21, 72] from Operation: 36*2=72 Current State: 93:[21, 72], Operations: ['99-97=2', '36*2=72'] Exploring Operation: 21+72=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 93, 3, 57, 29 ]
10
[ "93+3=96", "57+29=86", "96-86=10" ]
Current State: 10:[93, 3, 57, 29], Operations: [] Exploring Operation: 93+3=96, Resulting Numbers: [57, 29, 96] Generated Node #2: [57, 29, 96] from Operation: 93+3=96 Current State: 10:[57, 29, 96], Operations: ['93+3=96'] Exploring Operation: 57+29=86, Resulting Numbers: [96, 86] Generated Node #3: [96, 86] from Operation: 57+29=86 Current State: 10:[96, 86], Operations: ['93+3=96', '57+29=86'] Exploring Operation: 96-86=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 17, 42, 33, 44 ]
14
[ "42-17=25", "44-33=11", "25-11=14" ]
Current State: 14:[17, 42, 33, 44], Operations: [] Exploring Operation: 42-17=25, Resulting Numbers: [33, 44, 25] Generated Node #2: [33, 44, 25] from Operation: 42-17=25 Current State: 14:[33, 44, 25], Operations: ['42-17=25'] Exploring Operation: 44-33=11, Resulting Numbers: [25, 11] Generated Node #3: [25, 11] from Operation: 44-33=11 Current State: 14:[25, 11], Operations: ['42-17=25', '44-33=11'] Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 81, 41, 7, 12 ]
59
[ "81-41=40", "7+12=19", "40+19=59" ]
Current State: 59:[81, 41, 7, 12], Operations: [] Exploring Operation: 81-41=40, Resulting Numbers: [7, 12, 40] Generated Node #2: [7, 12, 40] from Operation: 81-41=40 Current State: 59:[7, 12, 40], Operations: ['81-41=40'] Exploring Operation: 7+12=19, Resulting Numbers: [40, 19] Generated Node #3: [40, 19] from Operation: 7+12=19 Current State: 59:[40, 19], Operations: ['81-41=40', '7+12=19'] Exploring Operation: 40+19=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 27, 96, 92, 34 ]
11
[ "96-27=69", "92-34=58", "69-58=11" ]
Current State: 11:[27, 96, 92, 34], Operations: [] Exploring Operation: 96-27=69, Resulting Numbers: [92, 34, 69] Generated Node #2: [92, 34, 69] from Operation: 96-27=69 Current State: 11:[92, 34, 69], Operations: ['96-27=69'] Exploring Operation: 92-34=58, Resulting Numbers: [69, 58] Generated Node #3: [69, 58] from Operation: 92-34=58 Current State: 11:[69, 58], Operations: ['96-27=69', '92-34=58'] Exploring Operation: 69-58=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 38, 47, 67, 81 ]
71
[ "38+47=85", "81-67=14", "85-14=71" ]
Current State: 71:[38, 47, 67, 81], Operations: [] Exploring Operation: 38+47=85, Resulting Numbers: [67, 81, 85] Generated Node #2: [67, 81, 85] from Operation: 38+47=85 Current State: 71:[67, 81, 85], Operations: ['38+47=85'] Exploring Operation: 81-67=14, Resulting Numbers: [85, 14] Generated Node #3: [85, 14] from Operation: 81-67=14 Current State: 71:[85, 14], Operations: ['38+47=85', '81-67=14'] Exploring Operation: 85-14=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 55, 2, 64, 72 ]
10
[ "64-55=9", "72/9=8", "2+8=10" ]
Current State: 10:[55, 2, 64, 72], Operations: [] Exploring Operation: 64-55=9, Resulting Numbers: [2, 72, 9] Generated Node #2: [2, 72, 9] from Operation: 64-55=9 Current State: 10:[2, 72, 9], Operations: ['64-55=9'] Exploring Operation: 72/9=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 72/9=8 Current State: 10:[2, 8], Operations: ['64-55=9', '72/9=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4