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
[ 35, 40, 42, 70 ]
48
[ "70-35=35", "40*42=1680", "1680/35=48" ]
Current State: 48:[35, 40, 42, 70], Operations: [] Exploring Operation: 70-35=35, Resulting Numbers: [40, 42, 35] Generated Node #2: [40, 42, 35] from Operation: 70-35=35 Current State: 48:[40, 42, 35], Operations: ['70-35=35'] Exploring Operation: 40*42=1680, Resulting Numbers: [35, 1680] Generated Node #3: [35, 1680] from Operation: 40*42=1680 Current State: 48:[35, 1680], Operations: ['70-35=35', '40*42=1680'] Exploring Operation: 1680/35=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 16, 68, 81, 95 ]
98
[ "16+68=84", "95-81=14", "84+14=98" ]
Current State: 98:[16, 68, 81, 95], Operations: [] Exploring Operation: 16+68=84, Resulting Numbers: [81, 95, 84] Generated Node #2: [81, 95, 84] from Operation: 16+68=84 Current State: 98:[81, 95, 84], Operations: ['16+68=84'] Exploring Operation: 95-81=14, Resulting Numbers: [84, 14] Generated Node #3: [84, 14] from Operation: 95-81=14 Current State: 98:[84, 14], Operations: ['16+68=84', '95-81=14'] Exploring Operation: 84+14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 31, 55, 51, 13 ]
22
[ "31+55=86", "51+13=64", "86-64=22" ]
Current State: 22:[31, 55, 51, 13], Operations: [] Exploring Operation: 31+55=86, Resulting Numbers: [51, 13, 86] Generated Node #2: [51, 13, 86] from Operation: 31+55=86 Current State: 22:[51, 13, 86], Operations: ['31+55=86'] Exploring Operation: 51+13=64, Resulting Numbers: [86, 64] Generated Node #3: [86, 64] from Operation: 51+13=64 Current State: 22:[86, 64], Operations: ['31+55=86', '51+13=64'] Exploring Operation: 86-64=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 96, 48, 21, 9 ]
93
[ "48-21=27", "27/9=3", "96-3=93" ]
Current State: 93:[96, 48, 21, 9], Operations: [] Exploring Operation: 48-21=27, Resulting Numbers: [96, 9, 27] Generated Node #2: [96, 9, 27] from Operation: 48-21=27 Current State: 93:[96, 9, 27], Operations: ['48-21=27'] Exploring Operation: 27/9=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 27/9=3 Current State: 93:[96, 3], Operations: ['48-21=27', '27/9=3'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 86, 79, 91, 13 ]
71
[ "86-79=7", "91-13=78", "78-7=71" ]
Current State: 71:[86, 79, 91, 13], Operations: [] Exploring Operation: 86-79=7, Resulting Numbers: [91, 13, 7] Generated Node #2: [91, 13, 7] from Operation: 86-79=7 Current State: 71:[91, 13, 7], Operations: ['86-79=7'] Exploring Operation: 91-13=78, Resulting Numbers: [7, 78] Generated Node #3: [7, 78] from Operation: 91-13=78 Current State: 71:[7, 78], Operations: ['86-79=7', '91-13=78'] Exploring Operation: 78-7=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 3, 3, 3, 8 ]
69
[ "3*3=9", "8*9=72", "72-3=69" ]
Current State: 69:[3, 3, 3, 8], Operations: [] Exploring Operation: 3*3=9, Resulting Numbers: [8, 9] Generated Node #2: [8, 9] from Operation: 3*3=9 Current State: 69:[8, 9], Operations: ['3*3=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,69 equal: Goal Reached Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 75, 14, 26, 53 ]
88
[ "75-14=61", "53-26=27", "61+27=88" ]
Current State: 88:[75, 14, 26, 53], Operations: [] Exploring Operation: 75-14=61, Resulting Numbers: [26, 53, 61] Generated Node #2: [26, 53, 61] from Operation: 75-14=61 Current State: 88:[26, 53, 61], Operations: ['75-14=61'] Exploring Operation: 53-26=27, Resulting Numbers: [61, 27] Generated Node #3: [61, 27] from Operation: 53-26=27 Current State: 88:[61, 27], Operations: ['75-14=61', '53-26=27'] Exploring Operation: 61+27=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 46, 15, 67, 37 ]
73
[ "46-15=31", "67+37=104", "104-31=73" ]
Current State: 73:[46, 15, 67, 37], Operations: [] Exploring Operation: 46-15=31, Resulting Numbers: [67, 37, 31] Generated Node #2: [67, 37, 31] from Operation: 46-15=31 Current State: 73:[67, 37, 31], Operations: ['46-15=31'] Exploring Operation: 67+37=104, Resulting Numbers: [31, 104] Generated Node #3: [31, 104] from Operation: 67+37=104 Current State: 73:[31, 104], Operations: ['46-15=31', '67+37=104'] Exploring Operation: 104-31=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 6, 33, 24, 99 ]
72
[ "99/33=3", "6-3=3", "24*3=72" ]
Current State: 72:[6, 33, 24, 99], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [6, 24, 3] Generated Node #2: [6, 24, 3] from Operation: 99/33=3 Current State: 72:[6, 24, 3], Operations: ['99/33=3'] Exploring Operation: 6-3=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 6-3=3 Current State: 72:[24, 3], Operations: ['99/33=3', '6-3=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 97, 34, 22, 66 ]
87
[ "97+34=131", "66-22=44", "131-44=87" ]
Current State: 87:[97, 34, 22, 66], Operations: [] Exploring Operation: 97+34=131, Resulting Numbers: [22, 66, 131] Generated Node #2: [22, 66, 131] from Operation: 97+34=131 Current State: 87:[22, 66, 131], Operations: ['97+34=131'] Exploring Operation: 66-22=44, Resulting Numbers: [131, 44] Generated Node #3: [131, 44] from Operation: 66-22=44 Current State: 87:[131, 44], Operations: ['97+34=131', '66-22=44'] Exploring Operation: 131-44=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 79, 66, 85, 2 ]
58
[ "79+66=145", "85+2=87", "145-87=58" ]
Current State: 58:[79, 66, 85, 2], Operations: [] Exploring Operation: 79+66=145, Resulting Numbers: [85, 2, 145] Generated Node #2: [85, 2, 145] from Operation: 79+66=145 Current State: 58:[85, 2, 145], Operations: ['79+66=145'] Exploring Operation: 85+2=87, Resulting Numbers: [145, 87] Generated Node #3: [145, 87] from Operation: 85+2=87 Current State: 58:[145, 87], Operations: ['79+66=145', '85+2=87'] Exploring Operation: 145-87=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 81, 61, 92, 98 ]
48
[ "81+61=142", "92+98=190", "190-142=48" ]
Current State: 48:[81, 61, 92, 98], Operations: [] Exploring Operation: 81+61=142, Resulting Numbers: [92, 98, 142] Generated Node #2: [92, 98, 142] from Operation: 81+61=142 Current State: 48:[92, 98, 142], Operations: ['81+61=142'] Exploring Operation: 92+98=190, Resulting Numbers: [142, 190] Generated Node #3: [142, 190] from Operation: 92+98=190 Current State: 48:[142, 190], Operations: ['81+61=142', '92+98=190'] Exploring Operation: 190-142=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 77, 67, 78, 32 ]
99
[ "78-77=1", "67+32=99", "1*99=99" ]
Current State: 99:[77, 67, 78, 32], Operations: [] Exploring Operation: 78-77=1, Resulting Numbers: [67, 32, 1] Generated Node #2: [67, 32, 1] from Operation: 78-77=1 Current State: 99:[67, 32, 1], Operations: ['78-77=1'] Exploring Operation: 67+32=99, Resulting Numbers: [1, 99] Generated Node #3: [1, 99] from Operation: 67+32=99 Current State: 99:[1, 99], Operations: ['78-77=1', '67+32=99'] Exploring Operation: 1*99=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 47, 3, 63, 65 ]
22
[ "47-3=44", "65-63=2", "44/2=22" ]
Current State: 22:[47, 3, 63, 65], Operations: [] Exploring Operation: 47-3=44, Resulting Numbers: [63, 65, 44] Generated Node #2: [63, 65, 44] from Operation: 47-3=44 Current State: 22:[63, 65, 44], Operations: ['47-3=44'] Exploring Operation: 65-63=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 65-63=2 Current State: 22:[44, 2], Operations: ['47-3=44', '65-63=2'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 77, 22, 62, 6 ]
68
[ "77-62=15", "6*15=90", "90-22=68" ]
Current State: 68:[77, 22, 62, 6], Operations: [] Exploring Operation: 77-62=15, Resulting Numbers: [22, 6, 15] Generated Node #2: [22, 6, 15] from Operation: 77-62=15 Current State: 68:[22, 6, 15], Operations: ['77-62=15'] Exploring Operation: 6*15=90, Resulting Numbers: [22, 90] Generated Node #3: [22, 90] from Operation: 6*15=90 Current State: 68:[22, 90], Operations: ['77-62=15', '6*15=90'] Exploring Operation: 90-22=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 68, 2, 98, 87 ]
45
[ "68/2=34", "98-87=11", "34+11=45" ]
Current State: 45:[68, 2, 98, 87], Operations: [] Exploring Operation: 68/2=34, Resulting Numbers: [98, 87, 34] Generated Node #2: [98, 87, 34] from Operation: 68/2=34 Current State: 45:[98, 87, 34], Operations: ['68/2=34'] Exploring Operation: 98-87=11, Resulting Numbers: [34, 11] Generated Node #3: [34, 11] from Operation: 98-87=11 Current State: 45:[34, 11], Operations: ['68/2=34', '98-87=11'] Exploring Operation: 34+11=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 78, 16, 89, 14 ]
19
[ "78+16=94", "89-14=75", "94-75=19" ]
Current State: 19:[78, 16, 89, 14], Operations: [] Exploring Operation: 78+16=94, Resulting Numbers: [89, 14, 94] Generated Node #2: [89, 14, 94] from Operation: 78+16=94 Current State: 19:[89, 14, 94], Operations: ['78+16=94'] Exploring Operation: 89-14=75, Resulting Numbers: [94, 75] Generated Node #3: [94, 75] from Operation: 89-14=75 Current State: 19:[94, 75], Operations: ['78+16=94', '89-14=75'] Exploring Operation: 94-75=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 58, 99, 24, 6 ]
45
[ "99-58=41", "24/6=4", "41+4=45" ]
Current State: 45:[58, 99, 24, 6], Operations: [] Exploring Operation: 99-58=41, Resulting Numbers: [24, 6, 41] Generated Node #2: [24, 6, 41] from Operation: 99-58=41 Current State: 45:[24, 6, 41], Operations: ['99-58=41'] Exploring Operation: 24/6=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 24/6=4 Current State: 45:[41, 4], Operations: ['99-58=41', '24/6=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 65, 46, 52, 41 ]
74
[ "65-46=19", "52+41=93", "93-19=74" ]
Current State: 74:[65, 46, 52, 41], Operations: [] Exploring Operation: 65-46=19, Resulting Numbers: [52, 41, 19] Generated Node #2: [52, 41, 19] from Operation: 65-46=19 Current State: 74:[52, 41, 19], Operations: ['65-46=19'] Exploring Operation: 52+41=93, Resulting Numbers: [19, 93] Generated Node #3: [19, 93] from Operation: 52+41=93 Current State: 74:[19, 93], Operations: ['65-46=19', '52+41=93'] Exploring Operation: 93-19=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 49, 56, 63, 43 ]
45
[ "49+63=112", "112/56=2", "43+2=45" ]
Current State: 45:[49, 56, 63, 43], Operations: [] Exploring Operation: 49+63=112, Resulting Numbers: [56, 43, 112] Generated Node #2: [56, 43, 112] from Operation: 49+63=112 Current State: 45:[56, 43, 112], Operations: ['49+63=112'] Exploring Operation: 112/56=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 112/56=2 Current State: 45:[43, 2], Operations: ['49+63=112', '112/56=2'] Exploring Operation: 43+2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 22, 72, 59, 13 ]
22
[ "22+72=94", "59+13=72", "94-72=22" ]
Current State: 22:[22, 72, 59, 13], Operations: [] Exploring Operation: 22+72=94, Resulting Numbers: [59, 13, 94] Generated Node #2: [59, 13, 94] from Operation: 22+72=94 Current State: 22:[59, 13, 94], Operations: ['22+72=94'] Exploring Operation: 59+13=72, Resulting Numbers: [94, 72] Generated Node #3: [94, 72] from Operation: 59+13=72 Current State: 22:[94, 72], Operations: ['22+72=94', '59+13=72'] Exploring Operation: 94-72=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 63, 4, 87 ]
52
[ "11+63=74", "87-74=13", "4*13=52" ]
Current State: 52:[11, 63, 4, 87], Operations: [] Exploring Operation: 11+63=74, Resulting Numbers: [4, 87, 74] Generated Node #2: [4, 87, 74] from Operation: 11+63=74 Current State: 52:[4, 87, 74], Operations: ['11+63=74'] Exploring Operation: 87-74=13, Resulting Numbers: [4, 13] Generated Node #3: [4, 13] from Operation: 87-74=13 Current State: 52:[4, 13], Operations: ['11+63=74', '87-74=13'] Exploring Operation: 4*13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 63, 16, 48, 32 ]
87
[ "16*48=768", "768/32=24", "63+24=87" ]
Current State: 87:[63, 16, 48, 32], Operations: [] Exploring Operation: 16*48=768, Resulting Numbers: [63, 32, 768] Generated Node #2: [63, 32, 768] from Operation: 16*48=768 Current State: 87:[63, 32, 768], Operations: ['16*48=768'] Exploring Operation: 768/32=24, Resulting Numbers: [63, 24] Generated Node #3: [63, 24] from Operation: 768/32=24 Current State: 87:[63, 24], Operations: ['16*48=768', '768/32=24'] Exploring Operation: 63+24=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 19, 60, 38, 57 ]
71
[ "60*57=3420", "3420/38=90", "90-19=71" ]
Current State: 71:[19, 60, 38, 57], Operations: [] Exploring Operation: 60*57=3420, Resulting Numbers: [19, 38, 3420] Generated Node #2: [19, 38, 3420] from Operation: 60*57=3420 Current State: 71:[19, 38, 3420], Operations: ['60*57=3420'] Exploring Operation: 3420/38=90, Resulting Numbers: [19, 90] Generated Node #3: [19, 90] from Operation: 3420/38=90 Current State: 71:[19, 90], Operations: ['60*57=3420', '3420/38=90'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 22, 15, 32, 41 ]
86
[ "32*41=1312", "1312-22=1290", "1290/15=86" ]
Current State: 86:[22, 15, 32, 41], Operations: [] Exploring Operation: 32*41=1312, Resulting Numbers: [22, 15, 1312] Generated Node #2: [22, 15, 1312] from Operation: 32*41=1312 Current State: 86:[22, 15, 1312], Operations: ['32*41=1312'] Exploring Operation: 1312-22=1290, Resulting Numbers: [15, 1290] Generated Node #3: [15, 1290] from Operation: 1312-22=1290 Current State: 86:[15, 1290], Operations: ['32*41=1312', '1312-22=1290'] Exploring Operation: 1290/15=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 65, 44, 14, 9 ]
40
[ "65-9=56", "56/14=4", "44-4=40" ]
Current State: 40:[65, 44, 14, 9], Operations: [] Exploring Operation: 65-9=56, Resulting Numbers: [44, 14, 56] Generated Node #2: [44, 14, 56] from Operation: 65-9=56 Current State: 40:[44, 14, 56], Operations: ['65-9=56'] Exploring Operation: 56/14=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 56/14=4 Current State: 40:[44, 4], Operations: ['65-9=56', '56/14=4'] Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 8, 32, 52, 3 ]
53
[ "32/8=4", "52-3=49", "4+49=53" ]
Current State: 53:[8, 32, 52, 3], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [52, 3, 4] Generated Node #2: [52, 3, 4] from Operation: 32/8=4 Current State: 53:[52, 3, 4], Operations: ['32/8=4'] Exploring Operation: 52-3=49, Resulting Numbers: [4, 49] Generated Node #3: [4, 49] from Operation: 52-3=49 Current State: 53:[4, 49], Operations: ['32/8=4', '52-3=49'] Exploring Operation: 4+49=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 58, 50, 83, 2 ]
93
[ "58-50=8", "83+2=85", "8+85=93" ]
Current State: 93:[58, 50, 83, 2], Operations: [] Exploring Operation: 58-50=8, Resulting Numbers: [83, 2, 8] Generated Node #2: [83, 2, 8] from Operation: 58-50=8 Current State: 93:[83, 2, 8], Operations: ['58-50=8'] Exploring Operation: 83+2=85, Resulting Numbers: [8, 85] Generated Node #3: [8, 85] from Operation: 83+2=85 Current State: 93:[8, 85], Operations: ['58-50=8', '83+2=85'] Exploring Operation: 8+85=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 93, 83, 63, 9 ]
44
[ "93-83=10", "63-9=54", "54-10=44" ]
Current State: 44:[93, 83, 63, 9], Operations: [] Exploring Operation: 93-83=10, Resulting Numbers: [63, 9, 10] Generated Node #2: [63, 9, 10] from Operation: 93-83=10 Current State: 44:[63, 9, 10], Operations: ['93-83=10'] Exploring Operation: 63-9=54, Resulting Numbers: [10, 54] Generated Node #3: [10, 54] from Operation: 63-9=54 Current State: 44:[10, 54], Operations: ['93-83=10', '63-9=54'] Exploring Operation: 54-10=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 20, 96, 1, 4 ]
19
[ "96-20=76", "1*4=4", "76/4=19" ]
Current State: 19:[20, 96, 1, 4], Operations: [] Exploring Operation: 96-20=76, Resulting Numbers: [1, 4, 76] Generated Node #2: [1, 4, 76] from Operation: 96-20=76 Current State: 19:[1, 4, 76], Operations: ['96-20=76'] Exploring Operation: 1*4=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 1*4=4 Current State: 19:[76, 4], Operations: ['96-20=76', '1*4=4'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 18, 41, 24, 15 ]
50
[ "18+41=59", "24-15=9", "59-9=50" ]
Current State: 50:[18, 41, 24, 15], Operations: [] Exploring Operation: 18+41=59, Resulting Numbers: [24, 15, 59] Generated Node #2: [24, 15, 59] from Operation: 18+41=59 Current State: 50:[24, 15, 59], Operations: ['18+41=59'] Exploring Operation: 24-15=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 24-15=9 Current State: 50:[59, 9], Operations: ['18+41=59', '24-15=9'] Exploring Operation: 59-9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 80, 2, 70, 8 ]
50
[ "80*2=160", "160/8=20", "70-20=50" ]
Current State: 50:[80, 2, 70, 8], Operations: [] Exploring Operation: 80*2=160, Resulting Numbers: [70, 8, 160] Generated Node #2: [70, 8, 160] from Operation: 80*2=160 Current State: 50:[70, 8, 160], Operations: ['80*2=160'] Exploring Operation: 160/8=20, Resulting Numbers: [70, 20] Generated Node #3: [70, 20] from Operation: 160/8=20 Current State: 50:[70, 20], Operations: ['80*2=160', '160/8=20'] Exploring Operation: 70-20=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 2, 78, 25, 34 ]
38
[ "78-25=53", "53-34=19", "2*19=38" ]
Current State: 38:[2, 78, 25, 34], Operations: [] Exploring Operation: 78-25=53, Resulting Numbers: [2, 34, 53] Generated Node #2: [2, 34, 53] from Operation: 78-25=53 Current State: 38:[2, 34, 53], Operations: ['78-25=53'] Exploring Operation: 53-34=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 53-34=19 Current State: 38:[2, 19], Operations: ['78-25=53', '53-34=19'] Exploring Operation: 2*19=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 77, 6, 42 ]
38
[ "77-3=74", "42-6=36", "74-36=38" ]
Current State: 38:[3, 77, 6, 42], Operations: [] Exploring Operation: 77-3=74, Resulting Numbers: [6, 42, 74] Generated Node #2: [6, 42, 74] from Operation: 77-3=74 Current State: 38:[6, 42, 74], Operations: ['77-3=74'] Exploring Operation: 42-6=36, Resulting Numbers: [74, 36] Generated Node #3: [74, 36] from Operation: 42-6=36 Current State: 38:[74, 36], Operations: ['77-3=74', '42-6=36'] Exploring Operation: 74-36=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 43, 52, 14, 5 ]
86
[ "43+52=95", "14-5=9", "95-9=86" ]
Current State: 86:[43, 52, 14, 5], Operations: [] Exploring Operation: 43+52=95, Resulting Numbers: [14, 5, 95] Generated Node #2: [14, 5, 95] from Operation: 43+52=95 Current State: 86:[14, 5, 95], Operations: ['43+52=95'] Exploring Operation: 14-5=9, Resulting Numbers: [95, 9] Generated Node #3: [95, 9] from Operation: 14-5=9 Current State: 86:[95, 9], Operations: ['43+52=95', '14-5=9'] Exploring Operation: 95-9=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 73, 37, 41, 96 ]
55
[ "73+37=110", "96-41=55", "110-55=55" ]
Current State: 55:[73, 37, 41, 96], Operations: [] Exploring Operation: 73+37=110, Resulting Numbers: [41, 96, 110] Generated Node #2: [41, 96, 110] from Operation: 73+37=110 Current State: 55:[41, 96, 110], Operations: ['73+37=110'] Exploring Operation: 96-41=55, Resulting Numbers: [110, 55] Generated Node #3: [110, 55] from Operation: 96-41=55 Current State: 55:[110, 55], Operations: ['73+37=110', '96-41=55'] Exploring Operation: 110-55=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 2, 50, 19, 87 ]
28
[ "50-19=31", "87-31=56", "56/2=28" ]
Current State: 28:[2, 50, 19, 87], Operations: [] Exploring Operation: 50-19=31, Resulting Numbers: [2, 87, 31] Generated Node #2: [2, 87, 31] from Operation: 50-19=31 Current State: 28:[2, 87, 31], Operations: ['50-19=31'] Exploring Operation: 87-31=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 87-31=56 Current State: 28:[2, 56], Operations: ['50-19=31', '87-31=56'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 55, 32, 50, 30 ]
33
[ "50-32=18", "55*18=990", "990/30=33" ]
Current State: 33:[55, 32, 50, 30], Operations: [] Exploring Operation: 50-32=18, Resulting Numbers: [55, 30, 18] Generated Node #2: [55, 30, 18] from Operation: 50-32=18 Current State: 33:[55, 30, 18], Operations: ['50-32=18'] Exploring Operation: 55*18=990, Resulting Numbers: [30, 990] Generated Node #3: [30, 990] from Operation: 55*18=990 Current State: 33:[30, 990], Operations: ['50-32=18', '55*18=990'] Exploring Operation: 990/30=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 28, 28, 63, 83 ]
19
[ "28/28=1", "83-63=20", "20-1=19" ]
Current State: 19:[28, 28, 63, 83], Operations: [] Exploring Operation: 28/28=1, Resulting Numbers: [63, 83, 1] Generated Node #2: [63, 83, 1] from Operation: 28/28=1 Current State: 19:[63, 83, 1], Operations: ['28/28=1'] Exploring Operation: 83-63=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 83-63=20 Current State: 19:[1, 20], Operations: ['28/28=1', '83-63=20'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 5, 76, 97, 87 ]
71
[ "5+76=81", "97-87=10", "81-10=71" ]
Current State: 71:[5, 76, 97, 87], Operations: [] Exploring Operation: 5+76=81, Resulting Numbers: [97, 87, 81] Generated Node #2: [97, 87, 81] from Operation: 5+76=81 Current State: 71:[97, 87, 81], Operations: ['5+76=81'] Exploring Operation: 97-87=10, Resulting Numbers: [81, 10] Generated Node #3: [81, 10] from Operation: 97-87=10 Current State: 71:[81, 10], Operations: ['5+76=81', '97-87=10'] Exploring Operation: 81-10=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 17, 59, 50, 43 ]
35
[ "59-17=42", "50-43=7", "42-7=35" ]
Current State: 35:[17, 59, 50, 43], Operations: [] Exploring Operation: 59-17=42, Resulting Numbers: [50, 43, 42] Generated Node #2: [50, 43, 42] from Operation: 59-17=42 Current State: 35:[50, 43, 42], Operations: ['59-17=42'] Exploring Operation: 50-43=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 50-43=7 Current State: 35:[42, 7], Operations: ['59-17=42', '50-43=7'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 86, 98, 14, 41 ]
39
[ "98-86=12", "41-14=27", "12+27=39" ]
Current State: 39:[86, 98, 14, 41], Operations: [] Exploring Operation: 98-86=12, Resulting Numbers: [14, 41, 12] Generated Node #2: [14, 41, 12] from Operation: 98-86=12 Current State: 39:[14, 41, 12], Operations: ['98-86=12'] Exploring Operation: 41-14=27, Resulting Numbers: [12, 27] Generated Node #3: [12, 27] from Operation: 41-14=27 Current State: 39:[12, 27], Operations: ['98-86=12', '41-14=27'] Exploring Operation: 12+27=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 68, 51, 17, 65 ]
71
[ "68+51=119", "65-17=48", "119-48=71" ]
Current State: 71:[68, 51, 17, 65], Operations: [] Exploring Operation: 68+51=119, Resulting Numbers: [17, 65, 119] Generated Node #2: [17, 65, 119] from Operation: 68+51=119 Current State: 71:[17, 65, 119], Operations: ['68+51=119'] Exploring Operation: 65-17=48, Resulting Numbers: [119, 48] Generated Node #3: [119, 48] from Operation: 65-17=48 Current State: 71:[119, 48], Operations: ['68+51=119', '65-17=48'] Exploring Operation: 119-48=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 19, 10, 67, 43 ]
50
[ "67-19=48", "48-43=5", "10*5=50" ]
Current State: 50:[19, 10, 67, 43], Operations: [] Exploring Operation: 67-19=48, Resulting Numbers: [10, 43, 48] Generated Node #2: [10, 43, 48] from Operation: 67-19=48 Current State: 50:[10, 43, 48], Operations: ['67-19=48'] Exploring Operation: 48-43=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 48-43=5 Current State: 50:[10, 5], Operations: ['67-19=48', '48-43=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 12, 42, 28, 48 ]
96
[ "42-12=30", "30-28=2", "48*2=96" ]
Current State: 96:[12, 42, 28, 48], Operations: [] Exploring Operation: 42-12=30, Resulting Numbers: [28, 48, 30] Generated Node #2: [28, 48, 30] from Operation: 42-12=30 Current State: 96:[28, 48, 30], Operations: ['42-12=30'] Exploring Operation: 30-28=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 30-28=2 Current State: 96:[48, 2], Operations: ['42-12=30', '30-28=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 46, 18, 93, 97 ]
60
[ "46+18=64", "97-93=4", "64-4=60" ]
Current State: 60:[46, 18, 93, 97], Operations: [] Exploring Operation: 46+18=64, Resulting Numbers: [93, 97, 64] Generated Node #2: [93, 97, 64] from Operation: 46+18=64 Current State: 60:[93, 97, 64], Operations: ['46+18=64'] Exploring Operation: 97-93=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 97-93=4 Current State: 60:[64, 4], Operations: ['46+18=64', '97-93=4'] Exploring Operation: 64-4=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 70, 2, 74, 4 ]
89
[ "2+74=76", "76/4=19", "70+19=89" ]
Current State: 89:[70, 2, 74, 4], Operations: [] Exploring Operation: 2+74=76, Resulting Numbers: [70, 4, 76] Generated Node #2: [70, 4, 76] from Operation: 2+74=76 Current State: 89:[70, 4, 76], Operations: ['2+74=76'] Exploring Operation: 76/4=19, Resulting Numbers: [70, 19] Generated Node #3: [70, 19] from Operation: 76/4=19 Current State: 89:[70, 19], Operations: ['2+74=76', '76/4=19'] Exploring Operation: 70+19=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 87, 95, 60, 70 ]
85
[ "95-60=35", "70/35=2", "87-2=85" ]
Current State: 85:[87, 95, 60, 70], Operations: [] Exploring Operation: 95-60=35, Resulting Numbers: [87, 70, 35] Generated Node #2: [87, 70, 35] from Operation: 95-60=35 Current State: 85:[87, 70, 35], Operations: ['95-60=35'] Exploring Operation: 70/35=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 70/35=2 Current State: 85:[87, 2], Operations: ['95-60=35', '70/35=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 56, 48, 3, 63 ]
27
[ "63-56=7", "3*7=21", "48-21=27" ]
Current State: 27:[56, 48, 3, 63], Operations: [] Exploring Operation: 63-56=7, Resulting Numbers: [48, 3, 7] Generated Node #2: [48, 3, 7] from Operation: 63-56=7 Current State: 27:[48, 3, 7], Operations: ['63-56=7'] Exploring Operation: 3*7=21, Resulting Numbers: [48, 21] Generated Node #3: [48, 21] from Operation: 3*7=21 Current State: 27:[48, 21], Operations: ['63-56=7', '3*7=21'] Exploring Operation: 48-21=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 43, 26, 30, 19 ]
32
[ "43-26=17", "30+19=49", "49-17=32" ]
Current State: 32:[43, 26, 30, 19], Operations: [] Exploring Operation: 43-26=17, Resulting Numbers: [30, 19, 17] Generated Node #2: [30, 19, 17] from Operation: 43-26=17 Current State: 32:[30, 19, 17], Operations: ['43-26=17'] Exploring Operation: 30+19=49, Resulting Numbers: [17, 49] Generated Node #3: [17, 49] from Operation: 30+19=49 Current State: 32:[17, 49], Operations: ['43-26=17', '30+19=49'] Exploring Operation: 49-17=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 75, 72, 26, 9 ]
78
[ "75-72=3", "26*9=234", "234/3=78" ]
Current State: 78:[75, 72, 26, 9], Operations: [] Exploring Operation: 75-72=3, Resulting Numbers: [26, 9, 3] Generated Node #2: [26, 9, 3] from Operation: 75-72=3 Current State: 78:[26, 9, 3], Operations: ['75-72=3'] Exploring Operation: 26*9=234, Resulting Numbers: [3, 234] Generated Node #3: [3, 234] from Operation: 26*9=234 Current State: 78:[3, 234], Operations: ['75-72=3', '26*9=234'] Exploring Operation: 234/3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 23, 92, 5, 52 ]
58
[ "23+92=115", "5+52=57", "115-57=58" ]
Current State: 58:[23, 92, 5, 52], Operations: [] Exploring Operation: 23+92=115, Resulting Numbers: [5, 52, 115] Generated Node #2: [5, 52, 115] from Operation: 23+92=115 Current State: 58:[5, 52, 115], Operations: ['23+92=115'] Exploring Operation: 5+52=57, Resulting Numbers: [115, 57] Generated Node #3: [115, 57] from Operation: 5+52=57 Current State: 58:[115, 57], Operations: ['23+92=115', '5+52=57'] Exploring Operation: 115-57=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 48, 80, 24, 47 ]
87
[ "48/24=2", "80/2=40", "47+40=87" ]
Current State: 87:[48, 80, 24, 47], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [80, 47, 2] Generated Node #2: [80, 47, 2] from Operation: 48/24=2 Current State: 87:[80, 47, 2], Operations: ['48/24=2'] Exploring Operation: 80/2=40, Resulting Numbers: [47, 40] Generated Node #3: [47, 40] from Operation: 80/2=40 Current State: 87:[47, 40], Operations: ['48/24=2', '80/2=40'] Exploring Operation: 47+40=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 20, 57, 56, 57 ]
56
[ "57-57=0", "20*0=0", "56+0=56" ]
Current State: 56:[20, 57, 56, 57], Operations: [] Exploring Operation: 57-57=0, Resulting Numbers: [20, 56, 0] Generated Node #2: [20, 56, 0] from Operation: 57-57=0 Current State: 56:[20, 56, 0], Operations: ['57-57=0'] Exploring Operation: 20*0=0, Resulting Numbers: [56, 0] Generated Node #3: [56, 0] from Operation: 20*0=0 Current State: 56:[56, 0], Operations: ['57-57=0', '20*0=0'] Exploring Operation: 56+0=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 43, 56, 4, 41 ]
64
[ "43-41=2", "4*2=8", "56+8=64" ]
Current State: 64:[43, 56, 4, 41], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [56, 4, 2] Generated Node #2: [56, 4, 2] from Operation: 43-41=2 Current State: 64:[56, 4, 2], Operations: ['43-41=2'] Exploring Operation: 4*2=8, Resulting Numbers: [56, 8] Generated Node #3: [56, 8] from Operation: 4*2=8 Current State: 64:[56, 8], Operations: ['43-41=2', '4*2=8'] Exploring Operation: 56+8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 56, 3, 57, 6 ]
95
[ "56+57=113", "3*6=18", "113-18=95" ]
Current State: 95:[56, 3, 57, 6], Operations: [] Exploring Operation: 56+57=113, Resulting Numbers: [3, 6, 113] Generated Node #2: [3, 6, 113] from Operation: 56+57=113 Current State: 95:[3, 6, 113], Operations: ['56+57=113'] Exploring Operation: 3*6=18, Resulting Numbers: [113, 18] Generated Node #3: [113, 18] from Operation: 3*6=18 Current State: 95:[113, 18], Operations: ['56+57=113', '3*6=18'] Exploring Operation: 113-18=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 3, 33, 57, 90 ]
98
[ "57-33=24", "24/3=8", "90+8=98" ]
Current State: 98:[3, 33, 57, 90], Operations: [] Exploring Operation: 57-33=24, Resulting Numbers: [3, 90, 24] Generated Node #2: [3, 90, 24] from Operation: 57-33=24 Current State: 98:[3, 90, 24], Operations: ['57-33=24'] Exploring Operation: 24/3=8, Resulting Numbers: [90, 8] Generated Node #3: [90, 8] from Operation: 24/3=8 Current State: 98:[90, 8], Operations: ['57-33=24', '24/3=8'] Exploring Operation: 90+8=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 89, 27, 81, 54 ]
87
[ "27+81=108", "108/54=2", "89-2=87" ]
Current State: 87:[89, 27, 81, 54], Operations: [] Exploring Operation: 27+81=108, Resulting Numbers: [89, 54, 108] Generated Node #2: [89, 54, 108] from Operation: 27+81=108 Current State: 87:[89, 54, 108], Operations: ['27+81=108'] Exploring Operation: 108/54=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 108/54=2 Current State: 87:[89, 2], Operations: ['27+81=108', '108/54=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 72, 32, 22, 36 ]
59
[ "72*36=2592", "2592/32=81", "81-22=59" ]
Current State: 59:[72, 32, 22, 36], Operations: [] Exploring Operation: 72*36=2592, Resulting Numbers: [32, 22, 2592] Generated Node #2: [32, 22, 2592] from Operation: 72*36=2592 Current State: 59:[32, 22, 2592], Operations: ['72*36=2592'] Exploring Operation: 2592/32=81, Resulting Numbers: [22, 81] Generated Node #3: [22, 81] from Operation: 2592/32=81 Current State: 59:[22, 81], Operations: ['72*36=2592', '2592/32=81'] Exploring Operation: 81-22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 74, 2, 78, 14 ]
69
[ "74+78=152", "152-14=138", "138/2=69" ]
Current State: 69:[74, 2, 78, 14], Operations: [] Exploring Operation: 74+78=152, Resulting Numbers: [2, 14, 152] Generated Node #2: [2, 14, 152] from Operation: 74+78=152 Current State: 69:[2, 14, 152], Operations: ['74+78=152'] Exploring Operation: 152-14=138, Resulting Numbers: [2, 138] Generated Node #3: [2, 138] from Operation: 152-14=138 Current State: 69:[2, 138], Operations: ['74+78=152', '152-14=138'] Exploring Operation: 138/2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 95, 18, 42, 50 ]
54
[ "95-42=53", "53-50=3", "18*3=54" ]
Current State: 54:[95, 18, 42, 50], Operations: [] Exploring Operation: 95-42=53, Resulting Numbers: [18, 50, 53] Generated Node #2: [18, 50, 53] from Operation: 95-42=53 Current State: 54:[18, 50, 53], Operations: ['95-42=53'] Exploring Operation: 53-50=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 53-50=3 Current State: 54:[18, 3], Operations: ['95-42=53', '53-50=3'] Exploring Operation: 18*3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 17, 56, 25, 1 ]
97
[ "17+56=73", "25-1=24", "73+24=97" ]
Current State: 97:[17, 56, 25, 1], Operations: [] Exploring Operation: 17+56=73, Resulting Numbers: [25, 1, 73] Generated Node #2: [25, 1, 73] from Operation: 17+56=73 Current State: 97:[25, 1, 73], Operations: ['17+56=73'] Exploring Operation: 25-1=24, Resulting Numbers: [73, 24] Generated Node #3: [73, 24] from Operation: 25-1=24 Current State: 97:[73, 24], Operations: ['17+56=73', '25-1=24'] Exploring Operation: 73+24=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 14, 84, 37, 53 ]
82
[ "14+84=98", "53-37=16", "98-16=82" ]
Current State: 82:[14, 84, 37, 53], Operations: [] Exploring Operation: 14+84=98, Resulting Numbers: [37, 53, 98] Generated Node #2: [37, 53, 98] from Operation: 14+84=98 Current State: 82:[37, 53, 98], Operations: ['14+84=98'] Exploring Operation: 53-37=16, Resulting Numbers: [98, 16] Generated Node #3: [98, 16] from Operation: 53-37=16 Current State: 82:[98, 16], Operations: ['14+84=98', '53-37=16'] Exploring Operation: 98-16=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 29, 52, 3, 22 ]
15
[ "29+52=81", "3*22=66", "81-66=15" ]
Current State: 15:[29, 52, 3, 22], Operations: [] Exploring Operation: 29+52=81, Resulting Numbers: [3, 22, 81] Generated Node #2: [3, 22, 81] from Operation: 29+52=81 Current State: 15:[3, 22, 81], Operations: ['29+52=81'] Exploring Operation: 3*22=66, Resulting Numbers: [81, 66] Generated Node #3: [81, 66] from Operation: 3*22=66 Current State: 15:[81, 66], Operations: ['29+52=81', '3*22=66'] Exploring Operation: 81-66=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 53, 84, 69, 59 ]
41
[ "84-53=31", "69-59=10", "31+10=41" ]
Current State: 41:[53, 84, 69, 59], Operations: [] Exploring Operation: 84-53=31, Resulting Numbers: [69, 59, 31] Generated Node #2: [69, 59, 31] from Operation: 84-53=31 Current State: 41:[69, 59, 31], Operations: ['84-53=31'] Exploring Operation: 69-59=10, Resulting Numbers: [31, 10] Generated Node #3: [31, 10] from Operation: 69-59=10 Current State: 41:[31, 10], Operations: ['84-53=31', '69-59=10'] Exploring Operation: 31+10=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 68, 67, 24, 54 ]
30
[ "68-67=1", "54-24=30", "1*30=30" ]
Current State: 30:[68, 67, 24, 54], Operations: [] Exploring Operation: 68-67=1, Resulting Numbers: [24, 54, 1] Generated Node #2: [24, 54, 1] from Operation: 68-67=1 Current State: 30:[24, 54, 1], Operations: ['68-67=1'] Exploring Operation: 54-24=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 54-24=30 Current State: 30:[1, 30], Operations: ['68-67=1', '54-24=30'] Exploring Operation: 1*30=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 14, 43, 49, 5 ]
83
[ "43-14=29", "49+5=54", "29+54=83" ]
Current State: 83:[14, 43, 49, 5], Operations: [] Exploring Operation: 43-14=29, Resulting Numbers: [49, 5, 29] Generated Node #2: [49, 5, 29] from Operation: 43-14=29 Current State: 83:[49, 5, 29], Operations: ['43-14=29'] Exploring Operation: 49+5=54, Resulting Numbers: [29, 54] Generated Node #3: [29, 54] from Operation: 49+5=54 Current State: 83:[29, 54], Operations: ['43-14=29', '49+5=54'] Exploring Operation: 29+54=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 22, 72, 71, 60 ]
82
[ "22+60=82", "72-71=1", "82*1=82" ]
Current State: 82:[22, 72, 71, 60], Operations: [] Exploring Operation: 22+60=82, Resulting Numbers: [72, 71, 82] Generated Node #2: [72, 71, 82] from Operation: 22+60=82 Current State: 82:[72, 71, 82], Operations: ['22+60=82'] Exploring Operation: 72-71=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 72-71=1 Current State: 82:[82, 1], Operations: ['22+60=82', '72-71=1'] Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 67, 12, 79, 65 ]
64
[ "67+12=79", "79/79=1", "65-1=64" ]
Current State: 64:[67, 12, 79, 65], Operations: [] Exploring Operation: 67+12=79, Resulting Numbers: [79, 65, 79] Generated Node #2: [79, 65, 79] from Operation: 67+12=79 Current State: 64:[79, 65, 79], Operations: ['67+12=79'] Exploring Operation: 79/79=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 79/79=1 Current State: 64:[65, 1], Operations: ['67+12=79', '79/79=1'] Exploring Operation: 65-1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 56, 38, 30, 38 ]
31
[ "38-30=8", "56/8=7", "38-7=31" ]
Current State: 31:[56, 38, 30, 38], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [56, 8] Generated Node #2: [56, 8] from Operation: 38-30=8 Current State: 31:[56, 8], Operations: ['38-30=8'] Exploring Operation: 56/8=7, Resulting Numbers: [7] 7,31 equal: Goal Reached Exploring Operation: 38-7=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 64, 36, 76, 71 ]
20
[ "64+36=100", "76-71=5", "100/5=20" ]
Current State: 20:[64, 36, 76, 71], Operations: [] Exploring Operation: 64+36=100, Resulting Numbers: [76, 71, 100] Generated Node #2: [76, 71, 100] from Operation: 64+36=100 Current State: 20:[76, 71, 100], Operations: ['64+36=100'] Exploring Operation: 76-71=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 76-71=5 Current State: 20:[100, 5], Operations: ['64+36=100', '76-71=5'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 61, 11, 55, 58 ]
24
[ "61+11=72", "58-55=3", "72/3=24" ]
Current State: 24:[61, 11, 55, 58], Operations: [] Exploring Operation: 61+11=72, Resulting Numbers: [55, 58, 72] Generated Node #2: [55, 58, 72] from Operation: 61+11=72 Current State: 24:[55, 58, 72], Operations: ['61+11=72'] Exploring Operation: 58-55=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 58-55=3 Current State: 24:[72, 3], Operations: ['61+11=72', '58-55=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 58, 5, 3, 39 ]
76
[ "58+5=63", "39/3=13", "63+13=76" ]
Current State: 76:[58, 5, 3, 39], Operations: [] Exploring Operation: 58+5=63, Resulting Numbers: [3, 39, 63] Generated Node #2: [3, 39, 63] from Operation: 58+5=63 Current State: 76:[3, 39, 63], Operations: ['58+5=63'] Exploring Operation: 39/3=13, Resulting Numbers: [63, 13] Generated Node #3: [63, 13] from Operation: 39/3=13 Current State: 76:[63, 13], Operations: ['58+5=63', '39/3=13'] Exploring Operation: 63+13=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 60, 19, 24, 64 ]
76
[ "24-19=5", "60/5=12", "64+12=76" ]
Current State: 76:[60, 19, 24, 64], Operations: [] Exploring Operation: 24-19=5, Resulting Numbers: [60, 64, 5] Generated Node #2: [60, 64, 5] from Operation: 24-19=5 Current State: 76:[60, 64, 5], Operations: ['24-19=5'] Exploring Operation: 60/5=12, Resulting Numbers: [64, 12] Generated Node #3: [64, 12] from Operation: 60/5=12 Current State: 76:[64, 12], Operations: ['24-19=5', '60/5=12'] Exploring Operation: 64+12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 63, 43, 27, 10 ]
70
[ "63-43=20", "27-20=7", "10*7=70" ]
Current State: 70:[63, 43, 27, 10], Operations: [] Exploring Operation: 63-43=20, Resulting Numbers: [27, 10, 20] Generated Node #2: [27, 10, 20] from Operation: 63-43=20 Current State: 70:[27, 10, 20], Operations: ['63-43=20'] Exploring Operation: 27-20=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 27-20=7 Current State: 70:[10, 7], Operations: ['63-43=20', '27-20=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 9, 54, 72, 72 ]
81
[ "9+54=63", "72+72=144", "144-63=81" ]
Current State: 81:[9, 54, 72, 72], Operations: [] Exploring Operation: 9+54=63, Resulting Numbers: [72, 72, 63] Generated Node #2: [72, 72, 63] from Operation: 9+54=63 Current State: 81:[72, 72, 63], Operations: ['9+54=63'] Exploring Operation: 72+72=144, Resulting Numbers: [63, 144] Generated Node #3: [63, 144] from Operation: 72+72=144 Current State: 81:[63, 144], Operations: ['9+54=63', '72+72=144'] Exploring Operation: 144-63=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 90, 47, 20, 50 ]
83
[ "90*20=1800", "1800/50=36", "47+36=83" ]
Current State: 83:[90, 47, 20, 50], Operations: [] Exploring Operation: 90*20=1800, Resulting Numbers: [47, 50, 1800] Generated Node #2: [47, 50, 1800] from Operation: 90*20=1800 Current State: 83:[47, 50, 1800], Operations: ['90*20=1800'] Exploring Operation: 1800/50=36, Resulting Numbers: [47, 36] Generated Node #3: [47, 36] from Operation: 1800/50=36 Current State: 83:[47, 36], Operations: ['90*20=1800', '1800/50=36'] Exploring Operation: 47+36=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 16, 16, 37, 8 ]
75
[ "16+37=53", "16*8=128", "128-53=75" ]
Current State: 75:[16, 16, 37, 8], Operations: [] Exploring Operation: 16+37=53, Resulting Numbers: [8, 53] Generated Node #2: [8, 53] from Operation: 16+37=53 Current State: 75:[8, 53], Operations: ['16+37=53'] Exploring Operation: 16*8=128, Resulting Numbers: [53, 128] Generated Node #3: [53, 128] from Operation: 16*8=128 Current State: 75:[53, 128], Operations: ['16+37=53', '16*8=128'] Exploring Operation: 128-53=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 89, 86, 25, 58 ]
65
[ "89+86=175", "175/25=7", "58+7=65" ]
Current State: 65:[89, 86, 25, 58], Operations: [] Exploring Operation: 89+86=175, Resulting Numbers: [25, 58, 175] Generated Node #2: [25, 58, 175] from Operation: 89+86=175 Current State: 65:[25, 58, 175], Operations: ['89+86=175'] Exploring Operation: 175/25=7, Resulting Numbers: [58, 7] Generated Node #3: [58, 7] from Operation: 175/25=7 Current State: 65:[58, 7], Operations: ['89+86=175', '175/25=7'] Exploring Operation: 58+7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 3, 16, 1, 76 ]
89
[ "16-3=13", "1*76=76", "13+76=89" ]
Current State: 89:[3, 16, 1, 76], Operations: [] Exploring Operation: 16-3=13, Resulting Numbers: [1, 76, 13] Generated Node #2: [1, 76, 13] from Operation: 16-3=13 Current State: 89:[1, 76, 13], Operations: ['16-3=13'] Exploring Operation: 1*76=76, Resulting Numbers: [13, 76] Generated Node #3: [13, 76] from Operation: 1*76=76 Current State: 89:[13, 76], Operations: ['16-3=13', '1*76=76'] Exploring Operation: 13+76=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 39, 22, 2, 53 ]
18
[ "39-22=17", "53-17=36", "36/2=18" ]
Current State: 18:[39, 22, 2, 53], Operations: [] Exploring Operation: 39-22=17, Resulting Numbers: [2, 53, 17] Generated Node #2: [2, 53, 17] from Operation: 39-22=17 Current State: 18:[2, 53, 17], Operations: ['39-22=17'] Exploring Operation: 53-17=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 53-17=36 Current State: 18:[2, 36], Operations: ['39-22=17', '53-17=36'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 58, 14, 4, 78 ]
66
[ "78-58=20", "4*20=80", "80-14=66" ]
Current State: 66:[58, 14, 4, 78], Operations: [] Exploring Operation: 78-58=20, Resulting Numbers: [14, 4, 20] Generated Node #2: [14, 4, 20] from Operation: 78-58=20 Current State: 66:[14, 4, 20], Operations: ['78-58=20'] Exploring Operation: 4*20=80, Resulting Numbers: [14, 80] Generated Node #3: [14, 80] from Operation: 4*20=80 Current State: 66:[14, 80], Operations: ['78-58=20', '4*20=80'] Exploring Operation: 80-14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 44, 6, 89, 18 ]
57
[ "44+6=50", "89+18=107", "107-50=57" ]
Current State: 57:[44, 6, 89, 18], Operations: [] Exploring Operation: 44+6=50, Resulting Numbers: [89, 18, 50] Generated Node #2: [89, 18, 50] from Operation: 44+6=50 Current State: 57:[89, 18, 50], Operations: ['44+6=50'] Exploring Operation: 89+18=107, Resulting Numbers: [50, 107] Generated Node #3: [50, 107] from Operation: 89+18=107 Current State: 57:[50, 107], Operations: ['44+6=50', '89+18=107'] Exploring Operation: 107-50=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 52, 81, 71, 25 ]
74
[ "52-25=27", "81/27=3", "71+3=74" ]
Current State: 74:[52, 81, 71, 25], Operations: [] Exploring Operation: 52-25=27, Resulting Numbers: [81, 71, 27] Generated Node #2: [81, 71, 27] from Operation: 52-25=27 Current State: 74:[81, 71, 27], Operations: ['52-25=27'] Exploring Operation: 81/27=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 81/27=3 Current State: 74:[71, 3], Operations: ['52-25=27', '81/27=3'] Exploring Operation: 71+3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 97, 57, 50, 21 ]
83
[ "97+57=154", "50+21=71", "154-71=83" ]
Current State: 83:[97, 57, 50, 21], Operations: [] Exploring Operation: 97+57=154, Resulting Numbers: [50, 21, 154] Generated Node #2: [50, 21, 154] from Operation: 97+57=154 Current State: 83:[50, 21, 154], Operations: ['97+57=154'] Exploring Operation: 50+21=71, Resulting Numbers: [154, 71] Generated Node #3: [154, 71] from Operation: 50+21=71 Current State: 83:[154, 71], Operations: ['97+57=154', '50+21=71'] Exploring Operation: 154-71=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 20, 29, 35, 46 ]
11
[ "20+46=66", "35-29=6", "66/6=11" ]
Current State: 11:[20, 29, 35, 46], Operations: [] Exploring Operation: 20+46=66, Resulting Numbers: [29, 35, 66] Generated Node #2: [29, 35, 66] from Operation: 20+46=66 Current State: 11:[29, 35, 66], Operations: ['20+46=66'] Exploring Operation: 35-29=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 35-29=6 Current State: 11:[66, 6], Operations: ['20+46=66', '35-29=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 26, 82, 90, 53 ]
93
[ "82-26=56", "90-53=37", "56+37=93" ]
Current State: 93:[26, 82, 90, 53], Operations: [] Exploring Operation: 82-26=56, Resulting Numbers: [90, 53, 56] Generated Node #2: [90, 53, 56] from Operation: 82-26=56 Current State: 93:[90, 53, 56], Operations: ['82-26=56'] Exploring Operation: 90-53=37, Resulting Numbers: [56, 37] Generated Node #3: [56, 37] from Operation: 90-53=37 Current State: 93:[56, 37], Operations: ['82-26=56', '90-53=37'] Exploring Operation: 56+37=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 88, 73, 47, 52 ]
84
[ "88-73=15", "47+52=99", "99-15=84" ]
Current State: 84:[88, 73, 47, 52], Operations: [] Exploring Operation: 88-73=15, Resulting Numbers: [47, 52, 15] Generated Node #2: [47, 52, 15] from Operation: 88-73=15 Current State: 84:[47, 52, 15], Operations: ['88-73=15'] Exploring Operation: 47+52=99, Resulting Numbers: [15, 99] Generated Node #3: [15, 99] from Operation: 47+52=99 Current State: 84:[15, 99], Operations: ['88-73=15', '47+52=99'] Exploring Operation: 99-15=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 20, 75, 3, 92 ]
73
[ "75-20=55", "3*55=165", "165-92=73" ]
Current State: 73:[20, 75, 3, 92], Operations: [] Exploring Operation: 75-20=55, Resulting Numbers: [3, 92, 55] Generated Node #2: [3, 92, 55] from Operation: 75-20=55 Current State: 73:[3, 92, 55], Operations: ['75-20=55'] Exploring Operation: 3*55=165, Resulting Numbers: [92, 165] Generated Node #3: [92, 165] from Operation: 3*55=165 Current State: 73:[92, 165], Operations: ['75-20=55', '3*55=165'] Exploring Operation: 165-92=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 45, 70, 14, 11 ]
75
[ "70-45=25", "14-11=3", "25*3=75" ]
Current State: 75:[45, 70, 14, 11], Operations: [] Exploring Operation: 70-45=25, Resulting Numbers: [14, 11, 25] Generated Node #2: [14, 11, 25] from Operation: 70-45=25 Current State: 75:[14, 11, 25], Operations: ['70-45=25'] Exploring Operation: 14-11=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 14-11=3 Current State: 75:[25, 3], Operations: ['70-45=25', '14-11=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 37, 49, 5, 83 ]
15
[ "37+49=86", "86-83=3", "5*3=15" ]
Current State: 15:[37, 49, 5, 83], Operations: [] Exploring Operation: 37+49=86, Resulting Numbers: [5, 83, 86] Generated Node #2: [5, 83, 86] from Operation: 37+49=86 Current State: 15:[5, 83, 86], Operations: ['37+49=86'] Exploring Operation: 86-83=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 86-83=3 Current State: 15:[5, 3], Operations: ['37+49=86', '86-83=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 85, 34, 85, 36 ]
31
[ "85+85=170", "170/34=5", "36-5=31" ]
Current State: 31:[85, 34, 85, 36], Operations: [] Exploring Operation: 85+85=170, Resulting Numbers: [34, 36, 170] Generated Node #2: [34, 36, 170] from Operation: 85+85=170 Current State: 31:[34, 36, 170], Operations: ['85+85=170'] Exploring Operation: 170/34=5, Resulting Numbers: [36, 5] Generated Node #3: [36, 5] from Operation: 170/34=5 Current State: 31:[36, 5], Operations: ['85+85=170', '170/34=5'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 3, 3, 40, 14 ]
60
[ "3+3=6", "40+14=54", "6+54=60" ]
Current State: 60:[3, 3, 40, 14], Operations: [] Exploring Operation: 3+3=6, Resulting Numbers: [40, 14, 6] Generated Node #2: [40, 14, 6] from Operation: 3+3=6 Current State: 60:[40, 14, 6], Operations: ['3+3=6'] Exploring Operation: 40+14=54, Resulting Numbers: [6, 54] Generated Node #3: [6, 54] from Operation: 40+14=54 Current State: 60:[6, 54], Operations: ['3+3=6', '40+14=54'] Exploring Operation: 6+54=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 66, 81, 20, 66 ]
100
[ "66/66=1", "81+20=101", "101-1=100" ]
Current State: 100:[66, 81, 20, 66], Operations: [] Exploring Operation: 66/66=1, Resulting Numbers: [81, 20, 1] Generated Node #2: [81, 20, 1] from Operation: 66/66=1 Current State: 100:[81, 20, 1], Operations: ['66/66=1'] Exploring Operation: 81+20=101, Resulting Numbers: [1, 101] Generated Node #3: [1, 101] from Operation: 81+20=101 Current State: 100:[1, 101], Operations: ['66/66=1', '81+20=101'] Exploring Operation: 101-1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 88, 6, 86, 15 ]
43
[ "6*15=90", "90-88=2", "86/2=43" ]
Current State: 43:[88, 6, 86, 15], Operations: [] Exploring Operation: 6*15=90, Resulting Numbers: [88, 86, 90] Generated Node #2: [88, 86, 90] from Operation: 6*15=90 Current State: 43:[88, 86, 90], Operations: ['6*15=90'] Exploring Operation: 90-88=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 90-88=2 Current State: 43:[86, 2], Operations: ['6*15=90', '90-88=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 13, 21, 6, 16 ]
45
[ "16-13=3", "21-6=15", "3*15=45" ]
Current State: 45:[13, 21, 6, 16], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [21, 6, 3] Generated Node #2: [21, 6, 3] from Operation: 16-13=3 Current State: 45:[21, 6, 3], Operations: ['16-13=3'] Exploring Operation: 21-6=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 21-6=15 Current State: 45:[3, 15], Operations: ['16-13=3', '21-6=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 50, 25, 40, 52 ]
30
[ "52-50=2", "40-25=15", "2*15=30" ]
Current State: 30:[50, 25, 40, 52], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [25, 40, 2] Generated Node #2: [25, 40, 2] from Operation: 52-50=2 Current State: 30:[25, 40, 2], Operations: ['52-50=2'] Exploring Operation: 40-25=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 40-25=15 Current State: 30:[2, 15], Operations: ['52-50=2', '40-25=15'] Exploring Operation: 2*15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 58, 41, 65, 62 ]
59
[ "58+65=123", "123/41=3", "62-3=59" ]
Current State: 59:[58, 41, 65, 62], Operations: [] Exploring Operation: 58+65=123, Resulting Numbers: [41, 62, 123] Generated Node #2: [41, 62, 123] from Operation: 58+65=123 Current State: 59:[41, 62, 123], Operations: ['58+65=123'] Exploring Operation: 123/41=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 123/41=3 Current State: 59:[62, 3], Operations: ['58+65=123', '123/41=3'] Exploring Operation: 62-3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 50, 91, 9, 63 ]
69
[ "50+91=141", "9+63=72", "141-72=69" ]
Current State: 69:[50, 91, 9, 63], Operations: [] Exploring Operation: 50+91=141, Resulting Numbers: [9, 63, 141] Generated Node #2: [9, 63, 141] from Operation: 50+91=141 Current State: 69:[9, 63, 141], Operations: ['50+91=141'] Exploring Operation: 9+63=72, Resulting Numbers: [141, 72] Generated Node #3: [141, 72] from Operation: 9+63=72 Current State: 69:[141, 72], Operations: ['50+91=141', '9+63=72'] Exploring Operation: 141-72=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 81, 2, 98, 81 ]
48
[ "81/81=1", "98/2=49", "49-1=48" ]
Current State: 48:[81, 2, 98, 81], Operations: [] Exploring Operation: 81/81=1, Resulting Numbers: [2, 98, 1] Generated Node #2: [2, 98, 1] from Operation: 81/81=1 Current State: 48:[2, 98, 1], Operations: ['81/81=1'] Exploring Operation: 98/2=49, Resulting Numbers: [1, 49] Generated Node #3: [1, 49] from Operation: 98/2=49 Current State: 48:[1, 49], Operations: ['81/81=1', '98/2=49'] Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4