nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 12, 10, 16, 76 ]
58
[ "12-10=2", "76-16=60", "60-2=58" ]
Current State: 58:[12, 10, 16, 76], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [16, 76, 2] Generated Node #2: [16, 76, 2] from Operation: 12-10=2 Current State: 58:[16, 76, 2], Operations: ['12-10=2'] Exploring Operation: 76-16=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 76-16=60 Current State: 58:[2, 60], Operations: ['12-10=2', '76-16=60'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 95, 47, 87, 54 ]
81
[ "95-47=48", "87-54=33", "48+33=81" ]
Current State: 81:[95, 47, 87, 54], Operations: [] Exploring Operation: 95-47=48, Resulting Numbers: [87, 54, 48] Generated Node #2: [87, 54, 48] from Operation: 95-47=48 Current State: 81:[87, 54, 48], Operations: ['95-47=48'] Exploring Operation: 87-54=33, Resulting Numbers: [48, 33] Generated Node #3: [48, 33] from Operation: 87-54=33 Current State: 81:[48, 33], Operations: ['95-47=48', '87-54=33'] Exploring Operation: 48+33=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 1, 19, 64, 25 ]
19
[ "1+19=20", "64-25=39", "39-20=19" ]
Current State: 19:[1, 19, 64, 25], Operations: [] Exploring Operation: 1+19=20, Resulting Numbers: [64, 25, 20] Generated Node #2: [64, 25, 20] from Operation: 1+19=20 Current State: 19:[64, 25, 20], Operations: ['1+19=20'] Exploring Operation: 64-25=39, Resulting Numbers: [20, 39] Generated Node #3: [20, 39] from Operation: 64-25=39 Current State: 19:[20, 39], Operations: ['1+19=20', '64-25=39'] Exploring Operation: 39-20=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 7, 8, 4, 92 ]
88
[ "8-7=1", "92-4=88", "1*88=88" ]
Current State: 88:[7, 8, 4, 92], Operations: [] Exploring Operation: 8-7=1, Resulting Numbers: [4, 92, 1] Generated Node #2: [4, 92, 1] from Operation: 8-7=1 Current State: 88:[4, 92, 1], Operations: ['8-7=1'] Exploring Operation: 92-4=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 92-4=88 Current State: 88:[1, 88], Operations: ['8-7=1', '92-4=88'] Exploring Operation: 1*88=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 54, 36, 84, 42 ]
48
[ "54+36=90", "84-42=42", "90-42=48" ]
Current State: 48:[54, 36, 84, 42], Operations: [] Exploring Operation: 54+36=90, Resulting Numbers: [84, 42, 90] Generated Node #2: [84, 42, 90] from Operation: 54+36=90 Current State: 48:[84, 42, 90], Operations: ['54+36=90'] Exploring Operation: 84-42=42, Resulting Numbers: [90, 42] Generated Node #3: [90, 42] from Operation: 84-42=42 Current State: 48:[90, 42], Operations: ['54+36=90', '84-42=42'] Exploring Operation: 90-42=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 23, 39, 26, 46 ]
13
[ "23+26=49", "49-46=3", "39/3=13" ]
Current State: 13:[23, 39, 26, 46], Operations: [] Exploring Operation: 23+26=49, Resulting Numbers: [39, 46, 49] Generated Node #2: [39, 46, 49] from Operation: 23+26=49 Current State: 13:[39, 46, 49], Operations: ['23+26=49'] Exploring Operation: 49-46=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 49-46=3 Current State: 13:[39, 3], Operations: ['23+26=49', '49-46=3'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 70, 10, 40, 4 ]
96
[ "70-10=60", "40-4=36", "60+36=96" ]
Current State: 96:[70, 10, 40, 4], Operations: [] Exploring Operation: 70-10=60, Resulting Numbers: [40, 4, 60] Generated Node #2: [40, 4, 60] from Operation: 70-10=60 Current State: 96:[40, 4, 60], Operations: ['70-10=60'] Exploring Operation: 40-4=36, Resulting Numbers: [60, 36] Generated Node #3: [60, 36] from Operation: 40-4=36 Current State: 96:[60, 36], Operations: ['70-10=60', '40-4=36'] Exploring Operation: 60+36=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 8, 68, 83, 56 ]
79
[ "68-8=60", "83+56=139", "139-60=79" ]
Current State: 79:[8, 68, 83, 56], Operations: [] Exploring Operation: 68-8=60, Resulting Numbers: [83, 56, 60] Generated Node #2: [83, 56, 60] from Operation: 68-8=60 Current State: 79:[83, 56, 60], Operations: ['68-8=60'] Exploring Operation: 83+56=139, Resulting Numbers: [60, 139] Generated Node #3: [60, 139] from Operation: 83+56=139 Current State: 79:[60, 139], Operations: ['68-8=60', '83+56=139'] Exploring Operation: 139-60=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 85, 43, 90, 7 ]
66
[ "43+90=133", "133/7=19", "85-19=66" ]
Current State: 66:[85, 43, 90, 7], Operations: [] Exploring Operation: 43+90=133, Resulting Numbers: [85, 7, 133] Generated Node #2: [85, 7, 133] from Operation: 43+90=133 Current State: 66:[85, 7, 133], Operations: ['43+90=133'] Exploring Operation: 133/7=19, Resulting Numbers: [85, 19] Generated Node #3: [85, 19] from Operation: 133/7=19 Current State: 66:[85, 19], Operations: ['43+90=133', '133/7=19'] Exploring Operation: 85-19=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 14, 4, 21, 91 ]
60
[ "14-4=10", "91-21=70", "70-10=60" ]
Current State: 60:[14, 4, 21, 91], Operations: [] Exploring Operation: 14-4=10, Resulting Numbers: [21, 91, 10] Generated Node #2: [21, 91, 10] from Operation: 14-4=10 Current State: 60:[21, 91, 10], Operations: ['14-4=10'] Exploring Operation: 91-21=70, Resulting Numbers: [10, 70] Generated Node #3: [10, 70] from Operation: 91-21=70 Current State: 60:[10, 70], Operations: ['14-4=10', '91-21=70'] Exploring Operation: 70-10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 15, 5, 3, 36 ]
76
[ "15*3=45", "36-5=31", "45+31=76" ]
Current State: 76:[15, 5, 3, 36], Operations: [] Exploring Operation: 15*3=45, Resulting Numbers: [5, 36, 45] Generated Node #2: [5, 36, 45] from Operation: 15*3=45 Current State: 76:[5, 36, 45], Operations: ['15*3=45'] Exploring Operation: 36-5=31, Resulting Numbers: [45, 31] Generated Node #3: [45, 31] from Operation: 36-5=31 Current State: 76:[45, 31], Operations: ['15*3=45', '36-5=31'] Exploring Operation: 45+31=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 99, 77, 92, 52 ]
41
[ "99-92=7", "77/7=11", "52-11=41" ]
Current State: 41:[99, 77, 92, 52], Operations: [] Exploring Operation: 99-92=7, Resulting Numbers: [77, 52, 7] Generated Node #2: [77, 52, 7] from Operation: 99-92=7 Current State: 41:[77, 52, 7], Operations: ['99-92=7'] Exploring Operation: 77/7=11, Resulting Numbers: [52, 11] Generated Node #3: [52, 11] from Operation: 77/7=11 Current State: 41:[52, 11], Operations: ['99-92=7', '77/7=11'] Exploring Operation: 52-11=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 1, 7, 48, 71 ]
15
[ "1+7=8", "71-48=23", "23-8=15" ]
Current State: 15:[1, 7, 48, 71], Operations: [] Exploring Operation: 1+7=8, Resulting Numbers: [48, 71, 8] Generated Node #2: [48, 71, 8] from Operation: 1+7=8 Current State: 15:[48, 71, 8], Operations: ['1+7=8'] Exploring Operation: 71-48=23, Resulting Numbers: [8, 23] Generated Node #3: [8, 23] from Operation: 71-48=23 Current State: 15:[8, 23], Operations: ['1+7=8', '71-48=23'] Exploring Operation: 23-8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 62, 24, 96, 4 ]
46
[ "96/24=4", "4*4=16", "62-16=46" ]
Current State: 46:[62, 24, 96, 4], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [62, 4, 4] Generated Node #2: [62, 4, 4] from Operation: 96/24=4 Current State: 46:[62, 4, 4], Operations: ['96/24=4'] Exploring Operation: 4*4=16, Resulting Numbers: [62, 16] Generated Node #3: [62, 16] from Operation: 4*4=16 Current State: 46:[62, 16], Operations: ['96/24=4', '4*4=16'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 27, 1, 73, 9 ]
90
[ "27-1=26", "73-9=64", "26+64=90" ]
Current State: 90:[27, 1, 73, 9], Operations: [] Exploring Operation: 27-1=26, Resulting Numbers: [73, 9, 26] Generated Node #2: [73, 9, 26] from Operation: 27-1=26 Current State: 90:[73, 9, 26], Operations: ['27-1=26'] Exploring Operation: 73-9=64, Resulting Numbers: [26, 64] Generated Node #3: [26, 64] from Operation: 73-9=64 Current State: 90:[26, 64], Operations: ['27-1=26', '73-9=64'] Exploring Operation: 26+64=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 16, 65, 6, 40 ]
95
[ "65-16=49", "6+40=46", "49+46=95" ]
Current State: 95:[16, 65, 6, 40], Operations: [] Exploring Operation: 65-16=49, Resulting Numbers: [6, 40, 49] Generated Node #2: [6, 40, 49] from Operation: 65-16=49 Current State: 95:[6, 40, 49], Operations: ['65-16=49'] Exploring Operation: 6+40=46, Resulting Numbers: [49, 46] Generated Node #3: [49, 46] from Operation: 6+40=46 Current State: 95:[49, 46], Operations: ['65-16=49', '6+40=46'] Exploring Operation: 49+46=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 62, 33, 4, 2 ]
16
[ "62/2=31", "33+31=64", "64/4=16" ]
Current State: 16:[62, 33, 4, 2], Operations: [] Exploring Operation: 62/2=31, Resulting Numbers: [33, 4, 31] Generated Node #2: [33, 4, 31] from Operation: 62/2=31 Current State: 16:[33, 4, 31], Operations: ['62/2=31'] Exploring Operation: 33+31=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 33+31=64 Current State: 16:[4, 64], Operations: ['62/2=31', '33+31=64'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 83, 28, 2, 59 ]
57
[ "83-28=55", "59+55=114", "114/2=57" ]
Current State: 57:[83, 28, 2, 59], Operations: [] Exploring Operation: 83-28=55, Resulting Numbers: [2, 59, 55] Generated Node #2: [2, 59, 55] from Operation: 83-28=55 Current State: 57:[2, 59, 55], Operations: ['83-28=55'] Exploring Operation: 59+55=114, Resulting Numbers: [2, 114] Generated Node #3: [2, 114] from Operation: 59+55=114 Current State: 57:[2, 114], Operations: ['83-28=55', '59+55=114'] Exploring Operation: 114/2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 29, 1, 5, 63 ]
83
[ "29*5=145", "63-1=62", "145-62=83" ]
Current State: 83:[29, 1, 5, 63], Operations: [] Exploring Operation: 29*5=145, Resulting Numbers: [1, 63, 145] Generated Node #2: [1, 63, 145] from Operation: 29*5=145 Current State: 83:[1, 63, 145], Operations: ['29*5=145'] Exploring Operation: 63-1=62, Resulting Numbers: [145, 62] Generated Node #3: [145, 62] from Operation: 63-1=62 Current State: 83:[145, 62], Operations: ['29*5=145', '63-1=62'] Exploring Operation: 145-62=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 22, 90, 2, 84 ]
74
[ "22+84=106", "90*2=180", "180-106=74" ]
Current State: 74:[22, 90, 2, 84], Operations: [] Exploring Operation: 22+84=106, Resulting Numbers: [90, 2, 106] Generated Node #2: [90, 2, 106] from Operation: 22+84=106 Current State: 74:[90, 2, 106], Operations: ['22+84=106'] Exploring Operation: 90*2=180, Resulting Numbers: [106, 180] Generated Node #3: [106, 180] from Operation: 90*2=180 Current State: 74:[106, 180], Operations: ['22+84=106', '90*2=180'] Exploring Operation: 180-106=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 56, 47, 73, 34 ]
94
[ "73-56=17", "47*34=1598", "1598/17=94" ]
Current State: 94:[56, 47, 73, 34], Operations: [] Exploring Operation: 73-56=17, Resulting Numbers: [47, 34, 17] Generated Node #2: [47, 34, 17] from Operation: 73-56=17 Current State: 94:[47, 34, 17], Operations: ['73-56=17'] Exploring Operation: 47*34=1598, Resulting Numbers: [17, 1598] Generated Node #3: [17, 1598] from Operation: 47*34=1598 Current State: 94:[17, 1598], Operations: ['73-56=17', '47*34=1598'] Exploring Operation: 1598/17=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 43, 16, 65, 81 ]
12
[ "43+65=108", "16*81=1296", "1296/108=12" ]
Current State: 12:[43, 16, 65, 81], Operations: [] Exploring Operation: 43+65=108, Resulting Numbers: [16, 81, 108] Generated Node #2: [16, 81, 108] from Operation: 43+65=108 Current State: 12:[16, 81, 108], Operations: ['43+65=108'] Exploring Operation: 16*81=1296, Resulting Numbers: [108, 1296] Generated Node #3: [108, 1296] from Operation: 16*81=1296 Current State: 12:[108, 1296], Operations: ['43+65=108', '16*81=1296'] Exploring Operation: 1296/108=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 37, 35, 42, 33 ]
28
[ "37-33=4", "42-35=7", "4*7=28" ]
Current State: 28:[37, 35, 42, 33], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [35, 42, 4] Generated Node #2: [35, 42, 4] from Operation: 37-33=4 Current State: 28:[35, 42, 4], Operations: ['37-33=4'] Exploring Operation: 42-35=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 42-35=7 Current State: 28:[4, 7], Operations: ['37-33=4', '42-35=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 84, 9, 51, 36 ]
78
[ "84+9=93", "51-36=15", "93-15=78" ]
Current State: 78:[84, 9, 51, 36], Operations: [] Exploring Operation: 84+9=93, Resulting Numbers: [51, 36, 93] Generated Node #2: [51, 36, 93] from Operation: 84+9=93 Current State: 78:[51, 36, 93], Operations: ['84+9=93'] Exploring Operation: 51-36=15, Resulting Numbers: [93, 15] Generated Node #3: [93, 15] from Operation: 51-36=15 Current State: 78:[93, 15], Operations: ['84+9=93', '51-36=15'] Exploring Operation: 93-15=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 72, 78, 52, 80 ]
74
[ "72-52=20", "80/20=4", "78-4=74" ]
Current State: 74:[72, 78, 52, 80], Operations: [] Exploring Operation: 72-52=20, Resulting Numbers: [78, 80, 20] Generated Node #2: [78, 80, 20] from Operation: 72-52=20 Current State: 74:[78, 80, 20], Operations: ['72-52=20'] Exploring Operation: 80/20=4, Resulting Numbers: [78, 4] Generated Node #3: [78, 4] from Operation: 80/20=4 Current State: 74:[78, 4], Operations: ['72-52=20', '80/20=4'] Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 3, 52, 19, 50 ]
95
[ "3+52=55", "55-50=5", "19*5=95" ]
Current State: 95:[3, 52, 19, 50], Operations: [] Exploring Operation: 3+52=55, Resulting Numbers: [19, 50, 55] Generated Node #2: [19, 50, 55] from Operation: 3+52=55 Current State: 95:[19, 50, 55], Operations: ['3+52=55'] Exploring Operation: 55-50=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 55-50=5 Current State: 95:[19, 5], Operations: ['3+52=55', '55-50=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 85, 35, 59, 16 ]
26
[ "85+59=144", "144/16=9", "35-9=26" ]
Current State: 26:[85, 35, 59, 16], Operations: [] Exploring Operation: 85+59=144, Resulting Numbers: [35, 16, 144] Generated Node #2: [35, 16, 144] from Operation: 85+59=144 Current State: 26:[35, 16, 144], Operations: ['85+59=144'] Exploring Operation: 144/16=9, Resulting Numbers: [35, 9] Generated Node #3: [35, 9] from Operation: 144/16=9 Current State: 26:[35, 9], Operations: ['85+59=144', '144/16=9'] Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 77, 40, 39, 62 ]
31
[ "77-40=37", "39-37=2", "62/2=31" ]
Current State: 31:[77, 40, 39, 62], Operations: [] Exploring Operation: 77-40=37, Resulting Numbers: [39, 62, 37] Generated Node #2: [39, 62, 37] from Operation: 77-40=37 Current State: 31:[39, 62, 37], Operations: ['77-40=37'] Exploring Operation: 39-37=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 39-37=2 Current State: 31:[62, 2], Operations: ['77-40=37', '39-37=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 28, 92, 86, 76 ]
42
[ "28+92=120", "86+76=162", "162-120=42" ]
Current State: 42:[28, 92, 86, 76], Operations: [] Exploring Operation: 28+92=120, Resulting Numbers: [86, 76, 120] Generated Node #2: [86, 76, 120] from Operation: 28+92=120 Current State: 42:[86, 76, 120], Operations: ['28+92=120'] Exploring Operation: 86+76=162, Resulting Numbers: [120, 162] Generated Node #3: [120, 162] from Operation: 86+76=162 Current State: 42:[120, 162], Operations: ['28+92=120', '86+76=162'] Exploring Operation: 162-120=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 64, 71, 57, 47 ]
97
[ "71-64=7", "57+47=104", "104-7=97" ]
Current State: 97:[64, 71, 57, 47], Operations: [] Exploring Operation: 71-64=7, Resulting Numbers: [57, 47, 7] Generated Node #2: [57, 47, 7] from Operation: 71-64=7 Current State: 97:[57, 47, 7], Operations: ['71-64=7'] Exploring Operation: 57+47=104, Resulting Numbers: [7, 104] Generated Node #3: [7, 104] from Operation: 57+47=104 Current State: 97:[7, 104], Operations: ['71-64=7', '57+47=104'] Exploring Operation: 104-7=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 5, 17, 3, 99 ]
11
[ "5+17=22", "99/3=33", "33-22=11" ]
Current State: 11:[5, 17, 3, 99], Operations: [] Exploring Operation: 5+17=22, Resulting Numbers: [3, 99, 22] Generated Node #2: [3, 99, 22] from Operation: 5+17=22 Current State: 11:[3, 99, 22], Operations: ['5+17=22'] Exploring Operation: 99/3=33, Resulting Numbers: [22, 33] Generated Node #3: [22, 33] from Operation: 99/3=33 Current State: 11:[22, 33], Operations: ['5+17=22', '99/3=33'] Exploring Operation: 33-22=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 82, 59, 28, 34 ]
29
[ "82-59=23", "34-28=6", "23+6=29" ]
Current State: 29:[82, 59, 28, 34], Operations: [] Exploring Operation: 82-59=23, Resulting Numbers: [28, 34, 23] Generated Node #2: [28, 34, 23] from Operation: 82-59=23 Current State: 29:[28, 34, 23], Operations: ['82-59=23'] Exploring Operation: 34-28=6, Resulting Numbers: [23, 6] Generated Node #3: [23, 6] from Operation: 34-28=6 Current State: 29:[23, 6], Operations: ['82-59=23', '34-28=6'] Exploring Operation: 23+6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 89, 87, 6, 16 ]
20
[ "89-87=2", "6+16=22", "22-2=20" ]
Current State: 20:[89, 87, 6, 16], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [6, 16, 2] Generated Node #2: [6, 16, 2] from Operation: 89-87=2 Current State: 20:[6, 16, 2], Operations: ['89-87=2'] Exploring Operation: 6+16=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 6+16=22 Current State: 20:[2, 22], Operations: ['89-87=2', '6+16=22'] Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 22, 28, 28, 60 ]
18
[ "22+28=50", "60-28=32", "50-32=18" ]
Current State: 18:[22, 28, 28, 60], Operations: [] Exploring Operation: 22+28=50, Resulting Numbers: [60, 50] Generated Node #2: [60, 50] from Operation: 22+28=50 Current State: 18:[60, 50], Operations: ['22+28=50'] Exploring Operation: 60-28=32, Resulting Numbers: [50, 32] Generated Node #3: [50, 32] from Operation: 60-28=32 Current State: 18:[50, 32], Operations: ['22+28=50', '60-28=32'] Exploring Operation: 50-32=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 55, 91, 8, 31 ]
94
[ "55-31=24", "24/8=3", "91+3=94" ]
Current State: 94:[55, 91, 8, 31], Operations: [] Exploring Operation: 55-31=24, Resulting Numbers: [91, 8, 24] Generated Node #2: [91, 8, 24] from Operation: 55-31=24 Current State: 94:[91, 8, 24], Operations: ['55-31=24'] Exploring Operation: 24/8=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 24/8=3 Current State: 94:[91, 3], Operations: ['55-31=24', '24/8=3'] Exploring Operation: 91+3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 8, 40, 18, 96 ]
16
[ "8+40=48", "96/48=2", "18-2=16" ]
Current State: 16:[8, 40, 18, 96], Operations: [] Exploring Operation: 8+40=48, Resulting Numbers: [18, 96, 48] Generated Node #2: [18, 96, 48] from Operation: 8+40=48 Current State: 16:[18, 96, 48], Operations: ['8+40=48'] Exploring Operation: 96/48=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 96/48=2 Current State: 16:[18, 2], Operations: ['8+40=48', '96/48=2'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 79, 27, 26, 3 ]
23
[ "79-27=52", "26+3=29", "52-29=23" ]
Current State: 23:[79, 27, 26, 3], Operations: [] Exploring Operation: 79-27=52, Resulting Numbers: [26, 3, 52] Generated Node #2: [26, 3, 52] from Operation: 79-27=52 Current State: 23:[26, 3, 52], Operations: ['79-27=52'] Exploring Operation: 26+3=29, Resulting Numbers: [52, 29] Generated Node #3: [52, 29] from Operation: 26+3=29 Current State: 23:[52, 29], Operations: ['79-27=52', '26+3=29'] Exploring Operation: 52-29=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 33, 25, 15 ]
61
[ "33-15=18", "2*18=36", "25+36=61" ]
Current State: 61:[2, 33, 25, 15], Operations: [] Exploring Operation: 33-15=18, Resulting Numbers: [2, 25, 18] Generated Node #2: [2, 25, 18] from Operation: 33-15=18 Current State: 61:[2, 25, 18], Operations: ['33-15=18'] Exploring Operation: 2*18=36, Resulting Numbers: [25, 36] Generated Node #3: [25, 36] from Operation: 2*18=36 Current State: 61:[25, 36], Operations: ['33-15=18', '2*18=36'] Exploring Operation: 25+36=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 74, 41, 34, 5 ]
49
[ "74-34=40", "40/5=8", "41+8=49" ]
Current State: 49:[74, 41, 34, 5], Operations: [] Exploring Operation: 74-34=40, Resulting Numbers: [41, 5, 40] Generated Node #2: [41, 5, 40] from Operation: 74-34=40 Current State: 49:[41, 5, 40], Operations: ['74-34=40'] Exploring Operation: 40/5=8, Resulting Numbers: [41, 8] Generated Node #3: [41, 8] from Operation: 40/5=8 Current State: 49:[41, 8], Operations: ['74-34=40', '40/5=8'] Exploring Operation: 41+8=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 46, 23, 51 ]
26
[ "2+46=48", "23+51=74", "74-48=26" ]
Current State: 26:[2, 46, 23, 51], Operations: [] Exploring Operation: 2+46=48, Resulting Numbers: [23, 51, 48] Generated Node #2: [23, 51, 48] from Operation: 2+46=48 Current State: 26:[23, 51, 48], Operations: ['2+46=48'] Exploring Operation: 23+51=74, Resulting Numbers: [48, 74] Generated Node #3: [48, 74] from Operation: 23+51=74 Current State: 26:[48, 74], Operations: ['2+46=48', '23+51=74'] Exploring Operation: 74-48=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 47, 9, 23, 41 ]
74
[ "47+9=56", "41-23=18", "56+18=74" ]
Current State: 74:[47, 9, 23, 41], Operations: [] Exploring Operation: 47+9=56, Resulting Numbers: [23, 41, 56] Generated Node #2: [23, 41, 56] from Operation: 47+9=56 Current State: 74:[23, 41, 56], Operations: ['47+9=56'] Exploring Operation: 41-23=18, Resulting Numbers: [56, 18] Generated Node #3: [56, 18] from Operation: 41-23=18 Current State: 74:[56, 18], Operations: ['47+9=56', '41-23=18'] Exploring Operation: 56+18=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 38, 18, 46, 10 ]
36
[ "38-18=20", "46+10=56", "56-20=36" ]
Current State: 36:[38, 18, 46, 10], Operations: [] Exploring Operation: 38-18=20, Resulting Numbers: [46, 10, 20] Generated Node #2: [46, 10, 20] from Operation: 38-18=20 Current State: 36:[46, 10, 20], Operations: ['38-18=20'] Exploring Operation: 46+10=56, Resulting Numbers: [20, 56] Generated Node #3: [20, 56] from Operation: 46+10=56 Current State: 36:[20, 56], Operations: ['38-18=20', '46+10=56'] Exploring Operation: 56-20=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 90, 80, 30, 33 ]
19
[ "90/30=3", "33*3=99", "99-80=19" ]
Current State: 19:[90, 80, 30, 33], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [80, 33, 3] Generated Node #2: [80, 33, 3] from Operation: 90/30=3 Current State: 19:[80, 33, 3], Operations: ['90/30=3'] Exploring Operation: 33*3=99, Resulting Numbers: [80, 99] Generated Node #3: [80, 99] from Operation: 33*3=99 Current State: 19:[80, 99], Operations: ['90/30=3', '33*3=99'] Exploring Operation: 99-80=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 54, 76, 19, 36 ]
94
[ "54+36=90", "76/19=4", "90+4=94" ]
Current State: 94:[54, 76, 19, 36], Operations: [] Exploring Operation: 54+36=90, Resulting Numbers: [76, 19, 90] Generated Node #2: [76, 19, 90] from Operation: 54+36=90 Current State: 94:[76, 19, 90], Operations: ['54+36=90'] Exploring Operation: 76/19=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 76/19=4 Current State: 94:[90, 4], Operations: ['54+36=90', '76/19=4'] Exploring Operation: 90+4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 65, 23, 71, 3 ]
69
[ "71-65=6", "6-3=3", "23*3=69" ]
Current State: 69:[65, 23, 71, 3], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [23, 3, 6] Generated Node #2: [23, 3, 6] from Operation: 71-65=6 Current State: 69:[23, 3, 6], Operations: ['71-65=6'] Exploring Operation: 6-3=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 6-3=3 Current State: 69:[23, 3], Operations: ['71-65=6', '6-3=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 5, 29, 43, 18 ]
98
[ "29-18=11", "5*11=55", "43+55=98" ]
Current State: 98:[5, 29, 43, 18], Operations: [] Exploring Operation: 29-18=11, Resulting Numbers: [5, 43, 11] Generated Node #2: [5, 43, 11] from Operation: 29-18=11 Current State: 98:[5, 43, 11], Operations: ['29-18=11'] Exploring Operation: 5*11=55, Resulting Numbers: [43, 55] Generated Node #3: [43, 55] from Operation: 5*11=55 Current State: 98:[43, 55], Operations: ['29-18=11', '5*11=55'] Exploring Operation: 43+55=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 31, 92, 28, 64 ]
97
[ "92-31=61", "64-28=36", "61+36=97" ]
Current State: 97:[31, 92, 28, 64], Operations: [] Exploring Operation: 92-31=61, Resulting Numbers: [28, 64, 61] Generated Node #2: [28, 64, 61] from Operation: 92-31=61 Current State: 97:[28, 64, 61], Operations: ['92-31=61'] Exploring Operation: 64-28=36, Resulting Numbers: [61, 36] Generated Node #3: [61, 36] from Operation: 64-28=36 Current State: 97:[61, 36], Operations: ['92-31=61', '64-28=36'] Exploring Operation: 61+36=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 31, 2, 4, 12 ]
95
[ "31*12=372", "372/4=93", "2+93=95" ]
Current State: 95:[31, 2, 4, 12], Operations: [] Exploring Operation: 31*12=372, Resulting Numbers: [2, 4, 372] Generated Node #2: [2, 4, 372] from Operation: 31*12=372 Current State: 95:[2, 4, 372], Operations: ['31*12=372'] Exploring Operation: 372/4=93, Resulting Numbers: [2, 93] Generated Node #3: [2, 93] from Operation: 372/4=93 Current State: 95:[2, 93], Operations: ['31*12=372', '372/4=93'] Exploring Operation: 2+93=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 38, 44, 46, 37 ]
12
[ "38+46=84", "44-37=7", "84/7=12" ]
Current State: 12:[38, 44, 46, 37], Operations: [] Exploring Operation: 38+46=84, Resulting Numbers: [44, 37, 84] Generated Node #2: [44, 37, 84] from Operation: 38+46=84 Current State: 12:[44, 37, 84], Operations: ['38+46=84'] Exploring Operation: 44-37=7, Resulting Numbers: [84, 7] Generated Node #3: [84, 7] from Operation: 44-37=7 Current State: 12:[84, 7], Operations: ['38+46=84', '44-37=7'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 44, 50, 13, 4 ]
11
[ "50-44=6", "13+4=17", "17-6=11" ]
Current State: 11:[44, 50, 13, 4], Operations: [] Exploring Operation: 50-44=6, Resulting Numbers: [13, 4, 6] Generated Node #2: [13, 4, 6] from Operation: 50-44=6 Current State: 11:[13, 4, 6], Operations: ['50-44=6'] Exploring Operation: 13+4=17, Resulting Numbers: [6, 17] Generated Node #3: [6, 17] from Operation: 13+4=17 Current State: 11:[6, 17], Operations: ['50-44=6', '13+4=17'] Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 90, 51, 12, 92 ]
65
[ "90-51=39", "12+92=104", "104-39=65" ]
Current State: 65:[90, 51, 12, 92], Operations: [] Exploring Operation: 90-51=39, Resulting Numbers: [12, 92, 39] Generated Node #2: [12, 92, 39] from Operation: 90-51=39 Current State: 65:[12, 92, 39], Operations: ['90-51=39'] Exploring Operation: 12+92=104, Resulting Numbers: [39, 104] Generated Node #3: [39, 104] from Operation: 12+92=104 Current State: 65:[39, 104], Operations: ['90-51=39', '12+92=104'] Exploring Operation: 104-39=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 25, 12, 24, 2 ]
29
[ "25+2=27", "24/12=2", "27+2=29" ]
Current State: 29:[25, 12, 24, 2], Operations: [] Exploring Operation: 25+2=27, Resulting Numbers: [12, 24, 27] Generated Node #2: [12, 24, 27] from Operation: 25+2=27 Current State: 29:[12, 24, 27], Operations: ['25+2=27'] Exploring Operation: 24/12=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 24/12=2 Current State: 29:[27, 2], Operations: ['25+2=27', '24/12=2'] Exploring Operation: 27+2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 67, 23, 37, 87 ]
44
[ "67*23=1541", "87+1541=1628", "1628/37=44" ]
Current State: 44:[67, 23, 37, 87], Operations: [] Exploring Operation: 67*23=1541, Resulting Numbers: [37, 87, 1541] Generated Node #2: [37, 87, 1541] from Operation: 67*23=1541 Current State: 44:[37, 87, 1541], Operations: ['67*23=1541'] Exploring Operation: 87+1541=1628, Resulting Numbers: [37, 1628] Generated Node #3: [37, 1628] from Operation: 87+1541=1628 Current State: 44:[37, 1628], Operations: ['67*23=1541', '87+1541=1628'] Exploring Operation: 1628/37=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 25, 79, 53, 70 ]
19
[ "25+79=104", "53+70=123", "123-104=19" ]
Current State: 19:[25, 79, 53, 70], Operations: [] Exploring Operation: 25+79=104, Resulting Numbers: [53, 70, 104] Generated Node #2: [53, 70, 104] from Operation: 25+79=104 Current State: 19:[53, 70, 104], Operations: ['25+79=104'] Exploring Operation: 53+70=123, Resulting Numbers: [104, 123] Generated Node #3: [104, 123] from Operation: 53+70=123 Current State: 19:[104, 123], Operations: ['25+79=104', '53+70=123'] Exploring Operation: 123-104=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 98, 91, 18, 49 ]
75
[ "98/49=2", "91-18=73", "2+73=75" ]
Current State: 75:[98, 91, 18, 49], Operations: [] Exploring Operation: 98/49=2, Resulting Numbers: [91, 18, 2] Generated Node #2: [91, 18, 2] from Operation: 98/49=2 Current State: 75:[91, 18, 2], Operations: ['98/49=2'] Exploring Operation: 91-18=73, Resulting Numbers: [2, 73] Generated Node #3: [2, 73] from Operation: 91-18=73 Current State: 75:[2, 73], Operations: ['98/49=2', '91-18=73'] Exploring Operation: 2+73=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 46, 35, 98, 28 ]
44
[ "98-28=70", "70/35=2", "46-2=44" ]
Current State: 44:[46, 35, 98, 28], Operations: [] Exploring Operation: 98-28=70, Resulting Numbers: [46, 35, 70] Generated Node #2: [46, 35, 70] from Operation: 98-28=70 Current State: 44:[46, 35, 70], Operations: ['98-28=70'] Exploring Operation: 70/35=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 70/35=2 Current State: 44:[46, 2], Operations: ['98-28=70', '70/35=2'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 19, 25, 64, 59 ]
30
[ "25-19=6", "64-59=5", "6*5=30" ]
Current State: 30:[19, 25, 64, 59], Operations: [] Exploring Operation: 25-19=6, Resulting Numbers: [64, 59, 6] Generated Node #2: [64, 59, 6] from Operation: 25-19=6 Current State: 30:[64, 59, 6], Operations: ['25-19=6'] Exploring Operation: 64-59=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 64-59=5 Current State: 30:[6, 5], Operations: ['25-19=6', '64-59=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 56, 84, 40, 61 ]
92
[ "61-56=5", "40/5=8", "84+8=92" ]
Current State: 92:[56, 84, 40, 61], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [84, 40, 5] Generated Node #2: [84, 40, 5] from Operation: 61-56=5 Current State: 92:[84, 40, 5], Operations: ['61-56=5'] Exploring Operation: 40/5=8, Resulting Numbers: [84, 8] Generated Node #3: [84, 8] from Operation: 40/5=8 Current State: 92:[84, 8], Operations: ['61-56=5', '40/5=8'] Exploring Operation: 84+8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 32, 50, 24, 16 ]
42
[ "32+50=82", "24+16=40", "82-40=42" ]
Current State: 42:[32, 50, 24, 16], Operations: [] Exploring Operation: 32+50=82, Resulting Numbers: [24, 16, 82] Generated Node #2: [24, 16, 82] from Operation: 32+50=82 Current State: 42:[24, 16, 82], Operations: ['32+50=82'] Exploring Operation: 24+16=40, Resulting Numbers: [82, 40] Generated Node #3: [82, 40] from Operation: 24+16=40 Current State: 42:[82, 40], Operations: ['32+50=82', '24+16=40'] Exploring Operation: 82-40=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 13, 66, 5, 69 ]
15
[ "13+66=79", "69-5=64", "79-64=15" ]
Current State: 15:[13, 66, 5, 69], Operations: [] Exploring Operation: 13+66=79, Resulting Numbers: [5, 69, 79] Generated Node #2: [5, 69, 79] from Operation: 13+66=79 Current State: 15:[5, 69, 79], Operations: ['13+66=79'] Exploring Operation: 69-5=64, Resulting Numbers: [79, 64] Generated Node #3: [79, 64] from Operation: 69-5=64 Current State: 15:[79, 64], Operations: ['13+66=79', '69-5=64'] Exploring Operation: 79-64=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 80, 15, 59, 45 ]
79
[ "80-15=65", "59-45=14", "65+14=79" ]
Current State: 79:[80, 15, 59, 45], Operations: [] Exploring Operation: 80-15=65, Resulting Numbers: [59, 45, 65] Generated Node #2: [59, 45, 65] from Operation: 80-15=65 Current State: 79:[59, 45, 65], Operations: ['80-15=65'] Exploring Operation: 59-45=14, Resulting Numbers: [65, 14] Generated Node #3: [65, 14] from Operation: 59-45=14 Current State: 79:[65, 14], Operations: ['80-15=65', '59-45=14'] Exploring Operation: 65+14=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 34, 20, 90, 55 ]
91
[ "34+20=54", "90+55=145", "145-54=91" ]
Current State: 91:[34, 20, 90, 55], Operations: [] Exploring Operation: 34+20=54, Resulting Numbers: [90, 55, 54] Generated Node #2: [90, 55, 54] from Operation: 34+20=54 Current State: 91:[90, 55, 54], Operations: ['34+20=54'] Exploring Operation: 90+55=145, Resulting Numbers: [54, 145] Generated Node #3: [54, 145] from Operation: 90+55=145 Current State: 91:[54, 145], Operations: ['34+20=54', '90+55=145'] Exploring Operation: 145-54=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 15, 1, 30, 34 ]
16
[ "30/15=2", "34/2=17", "17-1=16" ]
Current State: 16:[15, 1, 30, 34], Operations: [] Exploring Operation: 30/15=2, Resulting Numbers: [1, 34, 2] Generated Node #2: [1, 34, 2] from Operation: 30/15=2 Current State: 16:[1, 34, 2], Operations: ['30/15=2'] Exploring Operation: 34/2=17, Resulting Numbers: [1, 17] Generated Node #3: [1, 17] from Operation: 34/2=17 Current State: 16:[1, 17], Operations: ['30/15=2', '34/2=17'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 69, 18, 27, 19 ]
99
[ "69*27=1863", "18+1863=1881", "1881/19=99" ]
Current State: 99:[69, 18, 27, 19], Operations: [] Exploring Operation: 69*27=1863, Resulting Numbers: [18, 19, 1863] Generated Node #2: [18, 19, 1863] from Operation: 69*27=1863 Current State: 99:[18, 19, 1863], Operations: ['69*27=1863'] Exploring Operation: 18+1863=1881, Resulting Numbers: [19, 1881] Generated Node #3: [19, 1881] from Operation: 18+1863=1881 Current State: 99:[19, 1881], Operations: ['69*27=1863', '18+1863=1881'] Exploring Operation: 1881/19=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 79, 10, 57, 51 ]
75
[ "79-10=69", "57-51=6", "69+6=75" ]
Current State: 75:[79, 10, 57, 51], Operations: [] Exploring Operation: 79-10=69, Resulting Numbers: [57, 51, 69] Generated Node #2: [57, 51, 69] from Operation: 79-10=69 Current State: 75:[57, 51, 69], Operations: ['79-10=69'] Exploring Operation: 57-51=6, Resulting Numbers: [69, 6] Generated Node #3: [69, 6] from Operation: 57-51=6 Current State: 75:[69, 6], Operations: ['79-10=69', '57-51=6'] Exploring Operation: 69+6=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 3, 88, 99, 96 ]
23
[ "99+96=195", "195/3=65", "88-65=23" ]
Current State: 23:[3, 88, 99, 96], Operations: [] Exploring Operation: 99+96=195, Resulting Numbers: [3, 88, 195] Generated Node #2: [3, 88, 195] from Operation: 99+96=195 Current State: 23:[3, 88, 195], Operations: ['99+96=195'] Exploring Operation: 195/3=65, Resulting Numbers: [88, 65] Generated Node #3: [88, 65] from Operation: 195/3=65 Current State: 23:[88, 65], Operations: ['99+96=195', '195/3=65'] Exploring Operation: 88-65=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 66, 75, 25, 69 ]
25
[ "66*25=1650", "75+1650=1725", "1725/69=25" ]
Current State: 25:[66, 75, 25, 69], Operations: [] Exploring Operation: 66*25=1650, Resulting Numbers: [75, 69, 1650] Generated Node #2: [75, 69, 1650] from Operation: 66*25=1650 Current State: 25:[75, 69, 1650], Operations: ['66*25=1650'] Exploring Operation: 75+1650=1725, Resulting Numbers: [69, 1725] Generated Node #3: [69, 1725] from Operation: 75+1650=1725 Current State: 25:[69, 1725], Operations: ['66*25=1650', '75+1650=1725'] Exploring Operation: 1725/69=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 8, 71, 46, 15 ]
32
[ "71-8=63", "46-15=31", "63-31=32" ]
Current State: 32:[8, 71, 46, 15], Operations: [] Exploring Operation: 71-8=63, Resulting Numbers: [46, 15, 63] Generated Node #2: [46, 15, 63] from Operation: 71-8=63 Current State: 32:[46, 15, 63], Operations: ['71-8=63'] Exploring Operation: 46-15=31, Resulting Numbers: [63, 31] Generated Node #3: [63, 31] from Operation: 46-15=31 Current State: 32:[63, 31], Operations: ['71-8=63', '46-15=31'] Exploring Operation: 63-31=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 68, 48, 86, 16 ]
54
[ "86-68=18", "48/16=3", "18*3=54" ]
Current State: 54:[68, 48, 86, 16], Operations: [] Exploring Operation: 86-68=18, Resulting Numbers: [48, 16, 18] Generated Node #2: [48, 16, 18] from Operation: 86-68=18 Current State: 54:[48, 16, 18], Operations: ['86-68=18'] Exploring Operation: 48/16=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 48/16=3 Current State: 54:[18, 3], Operations: ['86-68=18', '48/16=3'] Exploring Operation: 18*3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 5, 21, 12, 1 ]
39
[ "5+21=26", "12+1=13", "26+13=39" ]
Current State: 39:[5, 21, 12, 1], Operations: [] Exploring Operation: 5+21=26, Resulting Numbers: [12, 1, 26] Generated Node #2: [12, 1, 26] from Operation: 5+21=26 Current State: 39:[12, 1, 26], Operations: ['5+21=26'] Exploring Operation: 12+1=13, Resulting Numbers: [26, 13] Generated Node #3: [26, 13] from Operation: 12+1=13 Current State: 39:[26, 13], Operations: ['5+21=26', '12+1=13'] Exploring Operation: 26+13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 17, 65, 74, 62 ]
73
[ "74+62=136", "136/17=8", "65+8=73" ]
Current State: 73:[17, 65, 74, 62], Operations: [] Exploring Operation: 74+62=136, Resulting Numbers: [17, 65, 136] Generated Node #2: [17, 65, 136] from Operation: 74+62=136 Current State: 73:[17, 65, 136], Operations: ['74+62=136'] Exploring Operation: 136/17=8, Resulting Numbers: [65, 8] Generated Node #3: [65, 8] from Operation: 136/17=8 Current State: 73:[65, 8], Operations: ['74+62=136', '136/17=8'] Exploring Operation: 65+8=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 9, 79, 60 ]
14
[ "9-4=5", "79-60=19", "19-5=14" ]
Current State: 14:[4, 9, 79, 60], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [79, 60, 5] Generated Node #2: [79, 60, 5] from Operation: 9-4=5 Current State: 14:[79, 60, 5], Operations: ['9-4=5'] Exploring Operation: 79-60=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 79-60=19 Current State: 14:[5, 19], Operations: ['9-4=5', '79-60=19'] Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 47, 32, 77, 26 ]
13
[ "47+32=79", "79-77=2", "26/2=13" ]
Current State: 13:[47, 32, 77, 26], Operations: [] Exploring Operation: 47+32=79, Resulting Numbers: [77, 26, 79] Generated Node #2: [77, 26, 79] from Operation: 47+32=79 Current State: 13:[77, 26, 79], Operations: ['47+32=79'] Exploring Operation: 79-77=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 79-77=2 Current State: 13:[26, 2], Operations: ['47+32=79', '79-77=2'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 84, 33, 3, 96 ]
91
[ "84/3=28", "96-33=63", "28+63=91" ]
Current State: 91:[84, 33, 3, 96], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [33, 96, 28] Generated Node #2: [33, 96, 28] from Operation: 84/3=28 Current State: 91:[33, 96, 28], Operations: ['84/3=28'] Exploring Operation: 96-33=63, Resulting Numbers: [28, 63] Generated Node #3: [28, 63] from Operation: 96-33=63 Current State: 91:[28, 63], Operations: ['84/3=28', '96-33=63'] Exploring Operation: 28+63=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 72, 56, 31, 34 ]
80
[ "34-31=3", "72/3=24", "56+24=80" ]
Current State: 80:[72, 56, 31, 34], Operations: [] Exploring Operation: 34-31=3, Resulting Numbers: [72, 56, 3] Generated Node #2: [72, 56, 3] from Operation: 34-31=3 Current State: 80:[72, 56, 3], Operations: ['34-31=3'] Exploring Operation: 72/3=24, Resulting Numbers: [56, 24] Generated Node #3: [56, 24] from Operation: 72/3=24 Current State: 80:[56, 24], Operations: ['34-31=3', '72/3=24'] Exploring Operation: 56+24=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 44, 98, 71, 6 ]
64
[ "71-44=27", "6*27=162", "162-98=64" ]
Current State: 64:[44, 98, 71, 6], Operations: [] Exploring Operation: 71-44=27, Resulting Numbers: [98, 6, 27] Generated Node #2: [98, 6, 27] from Operation: 71-44=27 Current State: 64:[98, 6, 27], Operations: ['71-44=27'] Exploring Operation: 6*27=162, Resulting Numbers: [98, 162] Generated Node #3: [98, 162] from Operation: 6*27=162 Current State: 64:[98, 162], Operations: ['71-44=27', '6*27=162'] Exploring Operation: 162-98=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 55, 93, 6, 72 ]
18
[ "93+72=165", "165/55=3", "6*3=18" ]
Current State: 18:[55, 93, 6, 72], Operations: [] Exploring Operation: 93+72=165, Resulting Numbers: [55, 6, 165] Generated Node #2: [55, 6, 165] from Operation: 93+72=165 Current State: 18:[55, 6, 165], Operations: ['93+72=165'] Exploring Operation: 165/55=3, Resulting Numbers: [6, 3] Generated Node #3: [6, 3] from Operation: 165/55=3 Current State: 18:[6, 3], Operations: ['93+72=165', '165/55=3'] Exploring Operation: 6*3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 55, 59, 62, 19 ]
14
[ "59-55=4", "19*4=76", "76-62=14" ]
Current State: 14:[55, 59, 62, 19], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [62, 19, 4] Generated Node #2: [62, 19, 4] from Operation: 59-55=4 Current State: 14:[62, 19, 4], Operations: ['59-55=4'] Exploring Operation: 19*4=76, Resulting Numbers: [62, 76] Generated Node #3: [62, 76] from Operation: 19*4=76 Current State: 14:[62, 76], Operations: ['59-55=4', '19*4=76'] Exploring Operation: 76-62=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 37, 89, 68, 1 ]
59
[ "37+89=126", "68-1=67", "126-67=59" ]
Current State: 59:[37, 89, 68, 1], Operations: [] Exploring Operation: 37+89=126, Resulting Numbers: [68, 1, 126] Generated Node #2: [68, 1, 126] from Operation: 37+89=126 Current State: 59:[68, 1, 126], Operations: ['37+89=126'] Exploring Operation: 68-1=67, Resulting Numbers: [126, 67] Generated Node #3: [126, 67] from Operation: 68-1=67 Current State: 59:[126, 67], Operations: ['37+89=126', '68-1=67'] Exploring Operation: 126-67=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 97, 4, 10, 92 ]
19
[ "97+4=101", "92-10=82", "101-82=19" ]
Current State: 19:[97, 4, 10, 92], Operations: [] Exploring Operation: 97+4=101, Resulting Numbers: [10, 92, 101] Generated Node #2: [10, 92, 101] from Operation: 97+4=101 Current State: 19:[10, 92, 101], Operations: ['97+4=101'] Exploring Operation: 92-10=82, Resulting Numbers: [101, 82] Generated Node #3: [101, 82] from Operation: 92-10=82 Current State: 19:[101, 82], Operations: ['97+4=101', '92-10=82'] Exploring Operation: 101-82=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 37, 26, 71, 7 ]
80
[ "37+26=63", "63/7=9", "71+9=80" ]
Current State: 80:[37, 26, 71, 7], Operations: [] Exploring Operation: 37+26=63, Resulting Numbers: [71, 7, 63] Generated Node #2: [71, 7, 63] from Operation: 37+26=63 Current State: 80:[71, 7, 63], Operations: ['37+26=63'] Exploring Operation: 63/7=9, Resulting Numbers: [71, 9] Generated Node #3: [71, 9] from Operation: 63/7=9 Current State: 80:[71, 9], Operations: ['37+26=63', '63/7=9'] Exploring Operation: 71+9=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 37, 59, 9, 3 ]
75
[ "59-37=22", "3*22=66", "9+66=75" ]
Current State: 75:[37, 59, 9, 3], Operations: [] Exploring Operation: 59-37=22, Resulting Numbers: [9, 3, 22] Generated Node #2: [9, 3, 22] from Operation: 59-37=22 Current State: 75:[9, 3, 22], Operations: ['59-37=22'] Exploring Operation: 3*22=66, Resulting Numbers: [9, 66] Generated Node #3: [9, 66] from Operation: 3*22=66 Current State: 75:[9, 66], Operations: ['59-37=22', '3*22=66'] Exploring Operation: 9+66=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 71, 62, 75, 16 ]
58
[ "75-71=4", "16/4=4", "62-4=58" ]
Current State: 58:[71, 62, 75, 16], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [62, 16, 4] Generated Node #2: [62, 16, 4] from Operation: 75-71=4 Current State: 58:[62, 16, 4], Operations: ['75-71=4'] Exploring Operation: 16/4=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation: 16/4=4 Current State: 58:[62, 4], Operations: ['75-71=4', '16/4=4'] Exploring Operation: 62-4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 73, 43, 41, 41 ]
57
[ "73+41=114", "43-41=2", "114/2=57" ]
Current State: 57:[73, 43, 41, 41], Operations: [] Exploring Operation: 73+41=114, Resulting Numbers: [43, 114] Generated Node #2: [43, 114] from Operation: 73+41=114 Current State: 57:[43, 114], Operations: ['73+41=114'] Exploring Operation: 43-41=2, Resulting Numbers: [114, 2] Generated Node #3: [114, 2] from Operation: 43-41=2 Current State: 57:[114, 2], Operations: ['73+41=114', '43-41=2'] Exploring Operation: 114/2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 45, 97, 94, 51 ]
32
[ "45+51=96", "97-94=3", "96/3=32" ]
Current State: 32:[45, 97, 94, 51], Operations: [] Exploring Operation: 45+51=96, Resulting Numbers: [97, 94, 96] Generated Node #2: [97, 94, 96] from Operation: 45+51=96 Current State: 32:[97, 94, 96], Operations: ['45+51=96'] Exploring Operation: 97-94=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 97-94=3 Current State: 32:[96, 3], Operations: ['45+51=96', '97-94=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 27, 48, 3, 7 ]
47
[ "27*7=189", "189-48=141", "141/3=47" ]
Current State: 47:[27, 48, 3, 7], Operations: [] Exploring Operation: 27*7=189, Resulting Numbers: [48, 3, 189] Generated Node #2: [48, 3, 189] from Operation: 27*7=189 Current State: 47:[48, 3, 189], Operations: ['27*7=189'] Exploring Operation: 189-48=141, Resulting Numbers: [3, 141] Generated Node #3: [3, 141] from Operation: 189-48=141 Current State: 47:[3, 141], Operations: ['27*7=189', '189-48=141'] Exploring Operation: 141/3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 19, 27, 49, 44 ]
40
[ "27-19=8", "49-44=5", "8*5=40" ]
Current State: 40:[19, 27, 49, 44], Operations: [] Exploring Operation: 27-19=8, Resulting Numbers: [49, 44, 8] Generated Node #2: [49, 44, 8] from Operation: 27-19=8 Current State: 40:[49, 44, 8], Operations: ['27-19=8'] Exploring Operation: 49-44=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 49-44=5 Current State: 40:[8, 5], Operations: ['27-19=8', '49-44=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 84, 62, 83, 88 ]
92
[ "83-62=21", "84/21=4", "88+4=92" ]
Current State: 92:[84, 62, 83, 88], Operations: [] Exploring Operation: 83-62=21, Resulting Numbers: [84, 88, 21] Generated Node #2: [84, 88, 21] from Operation: 83-62=21 Current State: 92:[84, 88, 21], Operations: ['83-62=21'] Exploring Operation: 84/21=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 84/21=4 Current State: 92:[88, 4], Operations: ['83-62=21', '84/21=4'] Exploring Operation: 88+4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 36, 14, 20, 76 ]
55
[ "14*76=1064", "36+1064=1100", "1100/20=55" ]
Current State: 55:[36, 14, 20, 76], Operations: [] Exploring Operation: 14*76=1064, Resulting Numbers: [36, 20, 1064] Generated Node #2: [36, 20, 1064] from Operation: 14*76=1064 Current State: 55:[36, 20, 1064], Operations: ['14*76=1064'] Exploring Operation: 36+1064=1100, Resulting Numbers: [20, 1100] Generated Node #3: [20, 1100] from Operation: 36+1064=1100 Current State: 55:[20, 1100], Operations: ['14*76=1064', '36+1064=1100'] Exploring Operation: 1100/20=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 69, 63, 2 ]
42
[ "69/3=23", "63+2=65", "65-23=42" ]
Current State: 42:[3, 69, 63, 2], Operations: [] Exploring Operation: 69/3=23, Resulting Numbers: [63, 2, 23] Generated Node #2: [63, 2, 23] from Operation: 69/3=23 Current State: 42:[63, 2, 23], Operations: ['69/3=23'] Exploring Operation: 63+2=65, Resulting Numbers: [23, 65] Generated Node #3: [23, 65] from Operation: 63+2=65 Current State: 42:[23, 65], Operations: ['69/3=23', '63+2=65'] Exploring Operation: 65-23=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 37, 61, 58, 97 ]
51
[ "37*97=3589", "61*58=3538", "3589-3538=51" ]
Current State: 51:[37, 61, 58, 97], Operations: [] Exploring Operation: 37*97=3589, Resulting Numbers: [61, 58, 3589] Generated Node #2: [61, 58, 3589] from Operation: 37*97=3589 Current State: 51:[61, 58, 3589], Operations: ['37*97=3589'] Exploring Operation: 61*58=3538, Resulting Numbers: [3589, 3538] Generated Node #3: [3589, 3538] from Operation: 61*58=3538 Current State: 51:[3589, 3538], Operations: ['37*97=3589', '61*58=3538'] Exploring Operation: 3589-3538=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 70, 55, 7, 2 ]
60
[ "70/7=10", "10/2=5", "55+5=60" ]
Current State: 60:[70, 55, 7, 2], Operations: [] Exploring Operation: 70/7=10, Resulting Numbers: [55, 2, 10] Generated Node #2: [55, 2, 10] from Operation: 70/7=10 Current State: 60:[55, 2, 10], Operations: ['70/7=10'] Exploring Operation: 10/2=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 10/2=5 Current State: 60:[55, 5], Operations: ['70/7=10', '10/2=5'] Exploring Operation: 55+5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 22, 45, 32, 38 ]
70
[ "32-22=10", "45-38=7", "10*7=70" ]
Current State: 70:[22, 45, 32, 38], Operations: [] Exploring Operation: 32-22=10, Resulting Numbers: [45, 38, 10] Generated Node #2: [45, 38, 10] from Operation: 32-22=10 Current State: 70:[45, 38, 10], Operations: ['32-22=10'] Exploring Operation: 45-38=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 45-38=7 Current State: 70:[10, 7], Operations: ['32-22=10', '45-38=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 22, 63, 60, 20 ]
93
[ "22-20=2", "60/2=30", "63+30=93" ]
Current State: 93:[22, 63, 60, 20], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [63, 60, 2] Generated Node #2: [63, 60, 2] from Operation: 22-20=2 Current State: 93:[63, 60, 2], Operations: ['22-20=2'] Exploring Operation: 60/2=30, Resulting Numbers: [63, 30] Generated Node #3: [63, 30] from Operation: 60/2=30 Current State: 93:[63, 30], Operations: ['22-20=2', '60/2=30'] Exploring Operation: 63+30=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 14, 78, 34, 88 ]
11
[ "14*88=1232", "78+34=112", "1232/112=11" ]
Current State: 11:[14, 78, 34, 88], Operations: [] Exploring Operation: 14*88=1232, Resulting Numbers: [78, 34, 1232] Generated Node #2: [78, 34, 1232] from Operation: 14*88=1232 Current State: 11:[78, 34, 1232], Operations: ['14*88=1232'] Exploring Operation: 78+34=112, Resulting Numbers: [1232, 112] Generated Node #3: [1232, 112] from Operation: 78+34=112 Current State: 11:[1232, 112], Operations: ['14*88=1232', '78+34=112'] Exploring Operation: 1232/112=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 51, 84, 39, 56 ]
18
[ "51-39=12", "84*12=1008", "1008/56=18" ]
Current State: 18:[51, 84, 39, 56], Operations: [] Exploring Operation: 51-39=12, Resulting Numbers: [84, 56, 12] Generated Node #2: [84, 56, 12] from Operation: 51-39=12 Current State: 18:[84, 56, 12], Operations: ['51-39=12'] Exploring Operation: 84*12=1008, Resulting Numbers: [56, 1008] Generated Node #3: [56, 1008] from Operation: 84*12=1008 Current State: 18:[56, 1008], Operations: ['51-39=12', '84*12=1008'] Exploring Operation: 1008/56=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 12, 55, 25, 57 ]
75
[ "55-12=43", "57-25=32", "43+32=75" ]
Current State: 75:[12, 55, 25, 57], Operations: [] Exploring Operation: 55-12=43, Resulting Numbers: [25, 57, 43] Generated Node #2: [25, 57, 43] from Operation: 55-12=43 Current State: 75:[25, 57, 43], Operations: ['55-12=43'] Exploring Operation: 57-25=32, Resulting Numbers: [43, 32] Generated Node #3: [43, 32] from Operation: 57-25=32 Current State: 75:[43, 32], Operations: ['55-12=43', '57-25=32'] Exploring Operation: 43+32=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 23, 68, 6, 54 ]
61
[ "68-54=14", "6*14=84", "84-23=61" ]
Current State: 61:[23, 68, 6, 54], Operations: [] Exploring Operation: 68-54=14, Resulting Numbers: [23, 6, 14] Generated Node #2: [23, 6, 14] from Operation: 68-54=14 Current State: 61:[23, 6, 14], Operations: ['68-54=14'] Exploring Operation: 6*14=84, Resulting Numbers: [23, 84] Generated Node #3: [23, 84] from Operation: 6*14=84 Current State: 61:[23, 84], Operations: ['68-54=14', '6*14=84'] Exploring Operation: 84-23=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 38, 43, 19, 8 ]
57
[ "43-38=5", "8-5=3", "19*3=57" ]
Current State: 57:[38, 43, 19, 8], Operations: [] Exploring Operation: 43-38=5, Resulting Numbers: [19, 8, 5] Generated Node #2: [19, 8, 5] from Operation: 43-38=5 Current State: 57:[19, 8, 5], Operations: ['43-38=5'] Exploring Operation: 8-5=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 8-5=3 Current State: 57:[19, 3], Operations: ['43-38=5', '8-5=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 75, 15, 28, 55 ]
32
[ "75/15=5", "55-28=27", "5+27=32" ]
Current State: 32:[75, 15, 28, 55], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [28, 55, 5] Generated Node #2: [28, 55, 5] from Operation: 75/15=5 Current State: 32:[28, 55, 5], Operations: ['75/15=5'] Exploring Operation: 55-28=27, Resulting Numbers: [5, 27] Generated Node #3: [5, 27] from Operation: 55-28=27 Current State: 32:[5, 27], Operations: ['75/15=5', '55-28=27'] Exploring Operation: 5+27=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4