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
[ 64, 96, 44, 92 ]
16
[ "96-64=32", "92-44=48", "48-32=16" ]
Current State: 16:[64, 96, 44, 92], Operations: [] Exploring Operation: 96-64=32, Resulting Numbers: [44, 92, 32] Generated Node #2: [44, 92, 32] from Operation: 96-64=32 Current State: 16:[44, 92, 32], Operations: ['96-64=32'] Exploring Operation: 92-44=48, Resulting Numbers: [32, 48] Generated Node #3: [32, 48] from Operation: 92-44=48 Current State: 16:[32, 48], Operations: ['96-64=32', '92-44=48'] Exploring Operation: 48-32=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 18, 82, 22, 98 ]
44
[ "18+82=100", "100-98=2", "22*2=44" ]
Current State: 44:[18, 82, 22, 98], Operations: [] Exploring Operation: 18+82=100, Resulting Numbers: [22, 98, 100] Generated Node #2: [22, 98, 100] from Operation: 18+82=100 Current State: 44:[22, 98, 100], Operations: ['18+82=100'] Exploring Operation: 100-98=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 100-98=2 Current State: 44:[22, 2], Operations: ['18+82=100', '100-98=2'] Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 82, 25, 41, 67 ]
46
[ "82/41=2", "25+67=92", "92/2=46" ]
Current State: 46:[82, 25, 41, 67], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [25, 67, 2] Generated Node #2: [25, 67, 2] from Operation: 82/41=2 Current State: 46:[25, 67, 2], Operations: ['82/41=2'] Exploring Operation: 25+67=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 25+67=92 Current State: 46:[2, 92], Operations: ['82/41=2', '25+67=92'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 41, 54, 91, 53 ]
31
[ "54*53=2862", "2862-41=2821", "2821/91=31" ]
Current State: 31:[41, 54, 91, 53], Operations: [] Exploring Operation: 54*53=2862, Resulting Numbers: [41, 91, 2862] Generated Node #2: [41, 91, 2862] from Operation: 54*53=2862 Current State: 31:[41, 91, 2862], Operations: ['54*53=2862'] Exploring Operation: 2862-41=2821, Resulting Numbers: [91, 2821] Generated Node #3: [91, 2821] from Operation: 2862-41=2821 Current State: 31:[91, 2821], Operations: ['54*53=2862', '2862-41=2821'] Exploring Operation: 2821/91=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 32, 36, 17, 95 ]
74
[ "36-32=4", "95-17=78", "78-4=74" ]
Current State: 74:[32, 36, 17, 95], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [17, 95, 4] Generated Node #2: [17, 95, 4] from Operation: 36-32=4 Current State: 74:[17, 95, 4], Operations: ['36-32=4'] Exploring Operation: 95-17=78, Resulting Numbers: [4, 78] Generated Node #3: [4, 78] from Operation: 95-17=78 Current State: 74:[4, 78], Operations: ['36-32=4', '95-17=78'] Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 44, 12, 30, 72 ]
48
[ "30-12=18", "72/18=4", "44+4=48" ]
Current State: 48:[44, 12, 30, 72], Operations: [] Exploring Operation: 30-12=18, Resulting Numbers: [44, 72, 18] Generated Node #2: [44, 72, 18] from Operation: 30-12=18 Current State: 48:[44, 72, 18], Operations: ['30-12=18'] Exploring Operation: 72/18=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 72/18=4 Current State: 48:[44, 4], Operations: ['30-12=18', '72/18=4'] Exploring Operation: 44+4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 69, 71, 34, 45 ]
61
[ "69+71=140", "34+45=79", "140-79=61" ]
Current State: 61:[69, 71, 34, 45], Operations: [] Exploring Operation: 69+71=140, Resulting Numbers: [34, 45, 140] Generated Node #2: [34, 45, 140] from Operation: 69+71=140 Current State: 61:[34, 45, 140], Operations: ['69+71=140'] Exploring Operation: 34+45=79, Resulting Numbers: [140, 79] Generated Node #3: [140, 79] from Operation: 34+45=79 Current State: 61:[140, 79], Operations: ['69+71=140', '34+45=79'] Exploring Operation: 140-79=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 20, 67, 45, 85 ]
87
[ "67-20=47", "85-45=40", "47+40=87" ]
Current State: 87:[20, 67, 45, 85], Operations: [] Exploring Operation: 67-20=47, Resulting Numbers: [45, 85, 47] Generated Node #2: [45, 85, 47] from Operation: 67-20=47 Current State: 87:[45, 85, 47], Operations: ['67-20=47'] Exploring Operation: 85-45=40, Resulting Numbers: [47, 40] Generated Node #3: [47, 40] from Operation: 85-45=40 Current State: 87:[47, 40], Operations: ['67-20=47', '85-45=40'] Exploring Operation: 47+40=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 40, 45, 92, 92 ]
85
[ "40+45=85", "92-92=0", "85+0=85" ]
Current State: 85:[40, 45, 92, 92], Operations: [] Exploring Operation: 40+45=85, Resulting Numbers: [92, 92, 85] Generated Node #2: [92, 92, 85] from Operation: 40+45=85 Current State: 85:[92, 92, 85], Operations: ['40+45=85'] Exploring Operation: 92-92=0, Resulting Numbers: [85, 0] Generated Node #3: [85, 0] from Operation: 92-92=0 Current State: 85:[85, 0], Operations: ['40+45=85', '92-92=0'] Exploring Operation: 85+0=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 98, 81, 47, 45 ]
64
[ "47-45=2", "81*2=162", "162-98=64" ]
Current State: 64:[98, 81, 47, 45], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [98, 81, 2] Generated Node #2: [98, 81, 2] from Operation: 47-45=2 Current State: 64:[98, 81, 2], Operations: ['47-45=2'] Exploring Operation: 81*2=162, Resulting Numbers: [98, 162] Generated Node #3: [98, 162] from Operation: 81*2=162 Current State: 64:[98, 162], Operations: ['47-45=2', '81*2=162'] Exploring Operation: 162-98=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 26, 70, 61, 54 ]
56
[ "61-26=35", "70/35=2", "54+2=56" ]
Current State: 56:[26, 70, 61, 54], Operations: [] Exploring Operation: 61-26=35, Resulting Numbers: [70, 54, 35] Generated Node #2: [70, 54, 35] from Operation: 61-26=35 Current State: 56:[70, 54, 35], Operations: ['61-26=35'] Exploring Operation: 70/35=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 70/35=2 Current State: 56:[54, 2], Operations: ['61-26=35', '70/35=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 46, 19, 70, 9 ]
67
[ "46-19=27", "27/9=3", "70-3=67" ]
Current State: 67:[46, 19, 70, 9], Operations: [] Exploring Operation: 46-19=27, Resulting Numbers: [70, 9, 27] Generated Node #2: [70, 9, 27] from Operation: 46-19=27 Current State: 67:[70, 9, 27], Operations: ['46-19=27'] Exploring Operation: 27/9=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 27/9=3 Current State: 67:[70, 3], Operations: ['46-19=27', '27/9=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 40, 36, 63, 57 ]
43
[ "57-36=21", "63/21=3", "40+3=43" ]
Current State: 43:[40, 36, 63, 57], Operations: [] Exploring Operation: 57-36=21, Resulting Numbers: [40, 63, 21] Generated Node #2: [40, 63, 21] from Operation: 57-36=21 Current State: 43:[40, 63, 21], Operations: ['57-36=21'] Exploring Operation: 63/21=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 63/21=3 Current State: 43:[40, 3], Operations: ['57-36=21', '63/21=3'] Exploring Operation: 40+3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 99, 59, 38, 42 ]
36
[ "99-59=40", "42-38=4", "40-4=36" ]
Current State: 36:[99, 59, 38, 42], Operations: [] Exploring Operation: 99-59=40, Resulting Numbers: [38, 42, 40] Generated Node #2: [38, 42, 40] from Operation: 99-59=40 Current State: 36:[38, 42, 40], Operations: ['99-59=40'] Exploring Operation: 42-38=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 42-38=4 Current State: 36:[40, 4], Operations: ['99-59=40', '42-38=4'] Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 80, 75, 93, 8 ]
53
[ "80-75=5", "8*5=40", "93-40=53" ]
Current State: 53:[80, 75, 93, 8], Operations: [] Exploring Operation: 80-75=5, Resulting Numbers: [93, 8, 5] Generated Node #2: [93, 8, 5] from Operation: 80-75=5 Current State: 53:[93, 8, 5], Operations: ['80-75=5'] Exploring Operation: 8*5=40, Resulting Numbers: [93, 40] Generated Node #3: [93, 40] from Operation: 8*5=40 Current State: 53:[93, 40], Operations: ['80-75=5', '8*5=40'] Exploring Operation: 93-40=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 87, 95, 77, 67 ]
80
[ "95-87=8", "77-67=10", "8*10=80" ]
Current State: 80:[87, 95, 77, 67], Operations: [] Exploring Operation: 95-87=8, Resulting Numbers: [77, 67, 8] Generated Node #2: [77, 67, 8] from Operation: 95-87=8 Current State: 80:[77, 67, 8], Operations: ['95-87=8'] Exploring Operation: 77-67=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 77-67=10 Current State: 80:[8, 10], Operations: ['95-87=8', '77-67=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 78, 26, 69, 66 ]
43
[ "78/26=3", "69/3=23", "66-23=43" ]
Current State: 43:[78, 26, 69, 66], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [69, 66, 3] Generated Node #2: [69, 66, 3] from Operation: 78/26=3 Current State: 43:[69, 66, 3], Operations: ['78/26=3'] Exploring Operation: 69/3=23, Resulting Numbers: [66, 23] Generated Node #3: [66, 23] from Operation: 69/3=23 Current State: 43:[66, 23], Operations: ['78/26=3', '69/3=23'] Exploring Operation: 66-23=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 88, 54, 19 ]
11
[ "54/2=27", "27-19=8", "88/8=11" ]
Current State: 11:[2, 88, 54, 19], Operations: [] Exploring Operation: 54/2=27, Resulting Numbers: [88, 19, 27] Generated Node #2: [88, 19, 27] from Operation: 54/2=27 Current State: 11:[88, 19, 27], Operations: ['54/2=27'] Exploring Operation: 27-19=8, Resulting Numbers: [88, 8] Generated Node #3: [88, 8] from Operation: 27-19=8 Current State: 11:[88, 8], Operations: ['54/2=27', '27-19=8'] Exploring Operation: 88/8=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 88, 86, 62, 8 ]
39
[ "88-86=2", "62/2=31", "8+31=39" ]
Current State: 39:[88, 86, 62, 8], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [62, 8, 2] Generated Node #2: [62, 8, 2] from Operation: 88-86=2 Current State: 39:[62, 8, 2], Operations: ['88-86=2'] Exploring Operation: 62/2=31, Resulting Numbers: [8, 31] Generated Node #3: [8, 31] from Operation: 62/2=31 Current State: 39:[8, 31], Operations: ['88-86=2', '62/2=31'] Exploring Operation: 8+31=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 98, 2, 12, 98 ]
37
[ "98/2=49", "98-12=86", "86-49=37" ]
Current State: 37:[98, 2, 12, 98], Operations: [] Exploring Operation: 98/2=49, Resulting Numbers: [12, 49] Generated Node #2: [12, 49] from Operation: 98/2=49 Current State: 37:[12, 49], Operations: ['98/2=49'] Exploring Operation: 98-12=86, Resulting Numbers: [49, 86] Generated Node #3: [49, 86] from Operation: 98-12=86 Current State: 37:[49, 86], Operations: ['98/2=49', '98-12=86'] Exploring Operation: 86-49=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 58, 84, 24, 74 ]
76
[ "84-58=26", "74-24=50", "26+50=76" ]
Current State: 76:[58, 84, 24, 74], Operations: [] Exploring Operation: 84-58=26, Resulting Numbers: [24, 74, 26] Generated Node #2: [24, 74, 26] from Operation: 84-58=26 Current State: 76:[24, 74, 26], Operations: ['84-58=26'] Exploring Operation: 74-24=50, Resulting Numbers: [26, 50] Generated Node #3: [26, 50] from Operation: 74-24=50 Current State: 76:[26, 50], Operations: ['84-58=26', '74-24=50'] Exploring Operation: 26+50=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 41, 34, 52, 31 ]
14
[ "41-34=7", "52-31=21", "21-7=14" ]
Current State: 14:[41, 34, 52, 31], Operations: [] Exploring Operation: 41-34=7, Resulting Numbers: [52, 31, 7] Generated Node #2: [52, 31, 7] from Operation: 41-34=7 Current State: 14:[52, 31, 7], Operations: ['41-34=7'] Exploring Operation: 52-31=21, Resulting Numbers: [7, 21] Generated Node #3: [7, 21] from Operation: 52-31=21 Current State: 14:[7, 21], Operations: ['41-34=7', '52-31=21'] Exploring Operation: 21-7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 15, 44, 97, 21 ]
47
[ "44-15=29", "97-21=76", "76-29=47" ]
Current State: 47:[15, 44, 97, 21], Operations: [] Exploring Operation: 44-15=29, Resulting Numbers: [97, 21, 29] Generated Node #2: [97, 21, 29] from Operation: 44-15=29 Current State: 47:[97, 21, 29], Operations: ['44-15=29'] Exploring Operation: 97-21=76, Resulting Numbers: [29, 76] Generated Node #3: [29, 76] from Operation: 97-21=76 Current State: 47:[29, 76], Operations: ['44-15=29', '97-21=76'] Exploring Operation: 76-29=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 98, 33, 35, 77 ]
19
[ "98+33=131", "35+77=112", "131-112=19" ]
Current State: 19:[98, 33, 35, 77], Operations: [] Exploring Operation: 98+33=131, Resulting Numbers: [35, 77, 131] Generated Node #2: [35, 77, 131] from Operation: 98+33=131 Current State: 19:[35, 77, 131], Operations: ['98+33=131'] Exploring Operation: 35+77=112, Resulting Numbers: [131, 112] Generated Node #3: [131, 112] from Operation: 35+77=112 Current State: 19:[131, 112], Operations: ['98+33=131', '35+77=112'] Exploring Operation: 131-112=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 59, 78, 38, 7 ]
95
[ "78-59=19", "7*19=133", "133-38=95" ]
Current State: 95:[59, 78, 38, 7], Operations: [] Exploring Operation: 78-59=19, Resulting Numbers: [38, 7, 19] Generated Node #2: [38, 7, 19] from Operation: 78-59=19 Current State: 95:[38, 7, 19], Operations: ['78-59=19'] Exploring Operation: 7*19=133, Resulting Numbers: [38, 133] Generated Node #3: [38, 133] from Operation: 7*19=133 Current State: 95:[38, 133], Operations: ['78-59=19', '7*19=133'] Exploring Operation: 133-38=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 16, 36, 20, 72 ]
81
[ "20-16=4", "36/4=9", "72+9=81" ]
Current State: 81:[16, 36, 20, 72], Operations: [] Exploring Operation: 20-16=4, Resulting Numbers: [36, 72, 4] Generated Node #2: [36, 72, 4] from Operation: 20-16=4 Current State: 81:[36, 72, 4], Operations: ['20-16=4'] Exploring Operation: 36/4=9, Resulting Numbers: [72, 9] Generated Node #3: [72, 9] from Operation: 36/4=9 Current State: 81:[72, 9], Operations: ['20-16=4', '36/4=9'] Exploring Operation: 72+9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 73, 61, 91, 45 ]
58
[ "73-61=12", "91-45=46", "12+46=58" ]
Current State: 58:[73, 61, 91, 45], Operations: [] Exploring Operation: 73-61=12, Resulting Numbers: [91, 45, 12] Generated Node #2: [91, 45, 12] from Operation: 73-61=12 Current State: 58:[91, 45, 12], Operations: ['73-61=12'] Exploring Operation: 91-45=46, Resulting Numbers: [12, 46] Generated Node #3: [12, 46] from Operation: 91-45=46 Current State: 58:[12, 46], Operations: ['73-61=12', '91-45=46'] Exploring Operation: 12+46=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 90, 88, 69, 42 ]
67
[ "90+88=178", "69+42=111", "178-111=67" ]
Current State: 67:[90, 88, 69, 42], Operations: [] Exploring Operation: 90+88=178, Resulting Numbers: [69, 42, 178] Generated Node #2: [69, 42, 178] from Operation: 90+88=178 Current State: 67:[69, 42, 178], Operations: ['90+88=178'] Exploring Operation: 69+42=111, Resulting Numbers: [178, 111] Generated Node #3: [178, 111] from Operation: 69+42=111 Current State: 67:[178, 111], Operations: ['90+88=178', '69+42=111'] Exploring Operation: 178-111=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 61, 11, 4, 83 ]
99
[ "83-61=22", "4*22=88", "11+88=99" ]
Current State: 99:[61, 11, 4, 83], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [11, 4, 22] Generated Node #2: [11, 4, 22] from Operation: 83-61=22 Current State: 99:[11, 4, 22], Operations: ['83-61=22'] Exploring Operation: 4*22=88, Resulting Numbers: [11, 88] Generated Node #3: [11, 88] from Operation: 4*22=88 Current State: 99:[11, 88], Operations: ['83-61=22', '4*22=88'] Exploring Operation: 11+88=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 79, 86, 14, 54 ]
52
[ "86-79=7", "14/7=2", "54-2=52" ]
Current State: 52:[79, 86, 14, 54], Operations: [] Exploring Operation: 86-79=7, Resulting Numbers: [14, 54, 7] Generated Node #2: [14, 54, 7] from Operation: 86-79=7 Current State: 52:[14, 54, 7], Operations: ['86-79=7'] Exploring Operation: 14/7=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 14/7=2 Current State: 52:[54, 2], Operations: ['86-79=7', '14/7=2'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 22, 89, 70, 70 ]
22
[ "70-70=0", "89*0=0", "22+0=22" ]
Current State: 22:[22, 89, 70, 70], Operations: [] Exploring Operation: 70-70=0, Resulting Numbers: [22, 89, 0] Generated Node #2: [22, 89, 0] from Operation: 70-70=0 Current State: 22:[22, 89, 0], Operations: ['70-70=0'] Exploring Operation: 89*0=0, Resulting Numbers: [22, 0] Generated Node #3: [22, 0] from Operation: 89*0=0 Current State: 22:[22, 0], Operations: ['70-70=0', '89*0=0'] Exploring Operation: 22+0=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 52, 72, 78, 27 ]
66
[ "72+27=99", "52*99=5148", "5148/78=66" ]
Current State: 66:[52, 72, 78, 27], Operations: [] Exploring Operation: 72+27=99, Resulting Numbers: [52, 78, 99] Generated Node #2: [52, 78, 99] from Operation: 72+27=99 Current State: 66:[52, 78, 99], Operations: ['72+27=99'] Exploring Operation: 52*99=5148, Resulting Numbers: [78, 5148] Generated Node #3: [78, 5148] from Operation: 52*99=5148 Current State: 66:[78, 5148], Operations: ['72+27=99', '52*99=5148'] Exploring Operation: 5148/78=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 4, 91, 63, 28 ]
35
[ "28/4=7", "91-63=28", "7+28=35" ]
Current State: 35:[4, 91, 63, 28], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [91, 63, 7] Generated Node #2: [91, 63, 7] from Operation: 28/4=7 Current State: 35:[91, 63, 7], Operations: ['28/4=7'] Exploring Operation: 91-63=28, Resulting Numbers: [7, 28] Generated Node #3: [7, 28] from Operation: 91-63=28 Current State: 35:[7, 28], Operations: ['28/4=7', '91-63=28'] Exploring Operation: 7+28=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 67, 10, 64, 65 ]
52
[ "67+10=77", "64+65=129", "129-77=52" ]
Current State: 52:[67, 10, 64, 65], Operations: [] Exploring Operation: 67+10=77, Resulting Numbers: [64, 65, 77] Generated Node #2: [64, 65, 77] from Operation: 67+10=77 Current State: 52:[64, 65, 77], Operations: ['67+10=77'] Exploring Operation: 64+65=129, Resulting Numbers: [77, 129] Generated Node #3: [77, 129] from Operation: 64+65=129 Current State: 52:[77, 129], Operations: ['67+10=77', '64+65=129'] Exploring Operation: 129-77=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 80, 80, 19, 71 ]
51
[ "80/80=1", "71-19=52", "52-1=51" ]
Current State: 51:[80, 80, 19, 71], Operations: [] Exploring Operation: 80/80=1, Resulting Numbers: [19, 71, 1] Generated Node #2: [19, 71, 1] from Operation: 80/80=1 Current State: 51:[19, 71, 1], Operations: ['80/80=1'] Exploring Operation: 71-19=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 71-19=52 Current State: 51:[1, 52], Operations: ['80/80=1', '71-19=52'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 36, 72, 77, 12 ]
87
[ "72/36=2", "77+12=89", "89-2=87" ]
Current State: 87:[36, 72, 77, 12], Operations: [] Exploring Operation: 72/36=2, Resulting Numbers: [77, 12, 2] Generated Node #2: [77, 12, 2] from Operation: 72/36=2 Current State: 87:[77, 12, 2], Operations: ['72/36=2'] Exploring Operation: 77+12=89, Resulting Numbers: [2, 89] Generated Node #3: [2, 89] from Operation: 77+12=89 Current State: 87:[2, 89], Operations: ['72/36=2', '77+12=89'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 62, 18, 7, 76 ]
39
[ "62-18=44", "7+76=83", "83-44=39" ]
Current State: 39:[62, 18, 7, 76], Operations: [] Exploring Operation: 62-18=44, Resulting Numbers: [7, 76, 44] Generated Node #2: [7, 76, 44] from Operation: 62-18=44 Current State: 39:[7, 76, 44], Operations: ['62-18=44'] Exploring Operation: 7+76=83, Resulting Numbers: [44, 83] Generated Node #3: [44, 83] from Operation: 7+76=83 Current State: 39:[44, 83], Operations: ['62-18=44', '7+76=83'] Exploring Operation: 83-44=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 59, 5, 46, 66 ]
41
[ "66-46=20", "5*20=100", "100-59=41" ]
Current State: 41:[59, 5, 46, 66], Operations: [] Exploring Operation: 66-46=20, Resulting Numbers: [59, 5, 20] Generated Node #2: [59, 5, 20] from Operation: 66-46=20 Current State: 41:[59, 5, 20], Operations: ['66-46=20'] Exploring Operation: 5*20=100, Resulting Numbers: [59, 100] Generated Node #3: [59, 100] from Operation: 5*20=100 Current State: 41:[59, 100], Operations: ['66-46=20', '5*20=100'] Exploring Operation: 100-59=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 95, 46, 88, 37 ]
63
[ "95-88=7", "46-37=9", "7*9=63" ]
Current State: 63:[95, 46, 88, 37], Operations: [] Exploring Operation: 95-88=7, Resulting Numbers: [46, 37, 7] Generated Node #2: [46, 37, 7] from Operation: 95-88=7 Current State: 63:[46, 37, 7], Operations: ['95-88=7'] Exploring Operation: 46-37=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 46-37=9 Current State: 63:[7, 9], Operations: ['95-88=7', '46-37=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 48, 37, 60, 58 ]
83
[ "48+37=85", "60-58=2", "85-2=83" ]
Current State: 83:[48, 37, 60, 58], Operations: [] Exploring Operation: 48+37=85, Resulting Numbers: [60, 58, 85] Generated Node #2: [60, 58, 85] from Operation: 48+37=85 Current State: 83:[60, 58, 85], Operations: ['48+37=85'] Exploring Operation: 60-58=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 60-58=2 Current State: 83:[85, 2], Operations: ['48+37=85', '60-58=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 1, 11, 58, 14 ]
95
[ "1+58=59", "11*14=154", "154-59=95" ]
Current State: 95:[1, 11, 58, 14], Operations: [] Exploring Operation: 1+58=59, Resulting Numbers: [11, 14, 59] Generated Node #2: [11, 14, 59] from Operation: 1+58=59 Current State: 95:[11, 14, 59], Operations: ['1+58=59'] Exploring Operation: 11*14=154, Resulting Numbers: [59, 154] Generated Node #3: [59, 154] from Operation: 11*14=154 Current State: 95:[59, 154], Operations: ['1+58=59', '11*14=154'] Exploring Operation: 154-59=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 65, 90, 80, 9 ]
63
[ "65-9=56", "90*56=5040", "5040/80=63" ]
Current State: 63:[65, 90, 80, 9], Operations: [] Exploring Operation: 65-9=56, Resulting Numbers: [90, 80, 56] Generated Node #2: [90, 80, 56] from Operation: 65-9=56 Current State: 63:[90, 80, 56], Operations: ['65-9=56'] Exploring Operation: 90*56=5040, Resulting Numbers: [80, 5040] Generated Node #3: [80, 5040] from Operation: 90*56=5040 Current State: 63:[80, 5040], Operations: ['65-9=56', '90*56=5040'] Exploring Operation: 5040/80=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 49, 5, 16, 83 ]
46
[ "83-49=34", "5*16=80", "80-34=46" ]
Current State: 46:[49, 5, 16, 83], Operations: [] Exploring Operation: 83-49=34, Resulting Numbers: [5, 16, 34] Generated Node #2: [5, 16, 34] from Operation: 83-49=34 Current State: 46:[5, 16, 34], Operations: ['83-49=34'] Exploring Operation: 5*16=80, Resulting Numbers: [34, 80] Generated Node #3: [34, 80] from Operation: 5*16=80 Current State: 46:[34, 80], Operations: ['83-49=34', '5*16=80'] Exploring Operation: 80-34=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 39, 23, 65, 78 ]
26
[ "39+23=62", "65-62=3", "78/3=26" ]
Current State: 26:[39, 23, 65, 78], Operations: [] Exploring Operation: 39+23=62, Resulting Numbers: [65, 78, 62] Generated Node #2: [65, 78, 62] from Operation: 39+23=62 Current State: 26:[65, 78, 62], Operations: ['39+23=62'] Exploring Operation: 65-62=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 65-62=3 Current State: 26:[78, 3], Operations: ['39+23=62', '65-62=3'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 11, 74, 85, 92 ]
91
[ "11+74=85", "85/85=1", "92-1=91" ]
Current State: 91:[11, 74, 85, 92], Operations: [] Exploring Operation: 11+74=85, Resulting Numbers: [85, 92, 85] Generated Node #2: [85, 92, 85] from Operation: 11+74=85 Current State: 91:[85, 92, 85], Operations: ['11+74=85'] Exploring Operation: 85/85=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 85/85=1 Current State: 91:[92, 1], Operations: ['11+74=85', '85/85=1'] Exploring Operation: 92-1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 81, 77, 17, 96 ]
28
[ "81-77=4", "17*4=68", "96-68=28" ]
Current State: 28:[81, 77, 17, 96], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [17, 96, 4] Generated Node #2: [17, 96, 4] from Operation: 81-77=4 Current State: 28:[17, 96, 4], Operations: ['81-77=4'] Exploring Operation: 17*4=68, Resulting Numbers: [96, 68] Generated Node #3: [96, 68] from Operation: 17*4=68 Current State: 28:[96, 68], Operations: ['81-77=4', '17*4=68'] Exploring Operation: 96-68=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 23, 52, 84, 98 ]
89
[ "23+52=75", "98-84=14", "75+14=89" ]
Current State: 89:[23, 52, 84, 98], Operations: [] Exploring Operation: 23+52=75, Resulting Numbers: [84, 98, 75] Generated Node #2: [84, 98, 75] from Operation: 23+52=75 Current State: 89:[84, 98, 75], Operations: ['23+52=75'] Exploring Operation: 98-84=14, Resulting Numbers: [75, 14] Generated Node #3: [75, 14] from Operation: 98-84=14 Current State: 89:[75, 14], Operations: ['23+52=75', '98-84=14'] Exploring Operation: 75+14=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 57, 56, 43, 6 ]
64
[ "57+56=113", "43+6=49", "113-49=64" ]
Current State: 64:[57, 56, 43, 6], Operations: [] Exploring Operation: 57+56=113, Resulting Numbers: [43, 6, 113] Generated Node #2: [43, 6, 113] from Operation: 57+56=113 Current State: 64:[43, 6, 113], Operations: ['57+56=113'] Exploring Operation: 43+6=49, Resulting Numbers: [113, 49] Generated Node #3: [113, 49] from Operation: 43+6=49 Current State: 64:[113, 49], Operations: ['57+56=113', '43+6=49'] Exploring Operation: 113-49=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 28, 38, 9, 77 ]
20
[ "28+38=66", "9+77=86", "86-66=20" ]
Current State: 20:[28, 38, 9, 77], Operations: [] Exploring Operation: 28+38=66, Resulting Numbers: [9, 77, 66] Generated Node #2: [9, 77, 66] from Operation: 28+38=66 Current State: 20:[9, 77, 66], Operations: ['28+38=66'] Exploring Operation: 9+77=86, Resulting Numbers: [66, 86] Generated Node #3: [66, 86] from Operation: 9+77=86 Current State: 20:[66, 86], Operations: ['28+38=66', '9+77=86'] Exploring Operation: 86-66=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 71, 39, 65, 50 ]
83
[ "71-39=32", "65+50=115", "115-32=83" ]
Current State: 83:[71, 39, 65, 50], Operations: [] Exploring Operation: 71-39=32, Resulting Numbers: [65, 50, 32] Generated Node #2: [65, 50, 32] from Operation: 71-39=32 Current State: 83:[65, 50, 32], Operations: ['71-39=32'] Exploring Operation: 65+50=115, Resulting Numbers: [32, 115] Generated Node #3: [32, 115] from Operation: 65+50=115 Current State: 83:[32, 115], Operations: ['71-39=32', '65+50=115'] Exploring Operation: 115-32=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 80, 69, 4, 70 ]
20
[ "80/4=20", "70-69=1", "20*1=20" ]
Current State: 20:[80, 69, 4, 70], Operations: [] Exploring Operation: 80/4=20, Resulting Numbers: [69, 70, 20] Generated Node #2: [69, 70, 20] from Operation: 80/4=20 Current State: 20:[69, 70, 20], Operations: ['80/4=20'] Exploring Operation: 70-69=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 70-69=1 Current State: 20:[20, 1], Operations: ['80/4=20', '70-69=1'] Exploring Operation: 20*1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 93, 68, 20, 25 ]
30
[ "93-68=25", "25-20=5", "25+5=30" ]
Current State: 30:[93, 68, 20, 25], Operations: [] Exploring Operation: 93-68=25, Resulting Numbers: [20, 25, 25] Generated Node #2: [20, 25, 25] from Operation: 93-68=25 Current State: 30:[20, 25, 25], Operations: ['93-68=25'] Exploring Operation: 25-20=5, Resulting Numbers: [5] 5,30 equal: Goal Reached Exploring Operation: 25+5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 49, 26, 8, 17 ]
23
[ "26-17=9", "8*9=72", "72-49=23" ]
Current State: 23:[49, 26, 8, 17], Operations: [] Exploring Operation: 26-17=9, Resulting Numbers: [49, 8, 9] Generated Node #2: [49, 8, 9] from Operation: 26-17=9 Current State: 23:[49, 8, 9], Operations: ['26-17=9'] Exploring Operation: 8*9=72, Resulting Numbers: [49, 72] Generated Node #3: [49, 72] from Operation: 8*9=72 Current State: 23:[49, 72], Operations: ['26-17=9', '8*9=72'] Exploring Operation: 72-49=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 54, 17, 29, 84 ]
47
[ "29-17=12", "84/12=7", "54-7=47" ]
Current State: 47:[54, 17, 29, 84], Operations: [] Exploring Operation: 29-17=12, Resulting Numbers: [54, 84, 12] Generated Node #2: [54, 84, 12] from Operation: 29-17=12 Current State: 47:[54, 84, 12], Operations: ['29-17=12'] Exploring Operation: 84/12=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 84/12=7 Current State: 47:[54, 7], Operations: ['29-17=12', '84/12=7'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 21, 66, 64, 99 ]
50
[ "21*66=1386", "1386/99=14", "64-14=50" ]
Current State: 50:[21, 66, 64, 99], Operations: [] Exploring Operation: 21*66=1386, Resulting Numbers: [64, 99, 1386] Generated Node #2: [64, 99, 1386] from Operation: 21*66=1386 Current State: 50:[64, 99, 1386], Operations: ['21*66=1386'] Exploring Operation: 1386/99=14, Resulting Numbers: [64, 14] Generated Node #3: [64, 14] from Operation: 1386/99=14 Current State: 50:[64, 14], Operations: ['21*66=1386', '1386/99=14'] Exploring Operation: 64-14=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 45, 22, 13, 50 ]
97
[ "50-45=5", "22*5=110", "110-13=97" ]
Current State: 97:[45, 22, 13, 50], Operations: [] Exploring Operation: 50-45=5, Resulting Numbers: [22, 13, 5] Generated Node #2: [22, 13, 5] from Operation: 50-45=5 Current State: 97:[22, 13, 5], Operations: ['50-45=5'] Exploring Operation: 22*5=110, Resulting Numbers: [13, 110] Generated Node #3: [13, 110] from Operation: 22*5=110 Current State: 97:[13, 110], Operations: ['50-45=5', '22*5=110'] Exploring Operation: 110-13=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 55, 6, 10, 60 ]
20
[ "60-55=5", "10-6=4", "5*4=20" ]
Current State: 20:[55, 6, 10, 60], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [6, 10, 5] Generated Node #2: [6, 10, 5] from Operation: 60-55=5 Current State: 20:[6, 10, 5], Operations: ['60-55=5'] Exploring Operation: 10-6=4, Resulting Numbers: [5, 4] Generated Node #3: [5, 4] from Operation: 10-6=4 Current State: 20:[5, 4], Operations: ['60-55=5', '10-6=4'] Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 96, 38, 4, 19 ]
48
[ "96*38=3648", "4*19=76", "3648/76=48" ]
Current State: 48:[96, 38, 4, 19], Operations: [] Exploring Operation: 96*38=3648, Resulting Numbers: [4, 19, 3648] Generated Node #2: [4, 19, 3648] from Operation: 96*38=3648 Current State: 48:[4, 19, 3648], Operations: ['96*38=3648'] Exploring Operation: 4*19=76, Resulting Numbers: [3648, 76] Generated Node #3: [3648, 76] from Operation: 4*19=76 Current State: 48:[3648, 76], Operations: ['96*38=3648', '4*19=76'] Exploring Operation: 3648/76=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 54, 7, 55, 49 ]
20
[ "54-49=5", "7*5=35", "55-35=20" ]
Current State: 20:[54, 7, 55, 49], Operations: [] Exploring Operation: 54-49=5, Resulting Numbers: [7, 55, 5] Generated Node #2: [7, 55, 5] from Operation: 54-49=5 Current State: 20:[7, 55, 5], Operations: ['54-49=5'] Exploring Operation: 7*5=35, Resulting Numbers: [55, 35] Generated Node #3: [55, 35] from Operation: 7*5=35 Current State: 20:[55, 35], Operations: ['54-49=5', '7*5=35'] Exploring Operation: 55-35=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 12, 40, 56, 55 ]
70
[ "55-40=15", "56*15=840", "840/12=70" ]
Current State: 70:[12, 40, 56, 55], Operations: [] Exploring Operation: 55-40=15, Resulting Numbers: [12, 56, 15] Generated Node #2: [12, 56, 15] from Operation: 55-40=15 Current State: 70:[12, 56, 15], Operations: ['55-40=15'] Exploring Operation: 56*15=840, Resulting Numbers: [12, 840] Generated Node #3: [12, 840] from Operation: 56*15=840 Current State: 70:[12, 840], Operations: ['55-40=15', '56*15=840'] Exploring Operation: 840/12=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 87, 6, 71, 79 ]
73
[ "87-6=81", "79-71=8", "81-8=73" ]
Current State: 73:[87, 6, 71, 79], Operations: [] Exploring Operation: 87-6=81, Resulting Numbers: [71, 79, 81] Generated Node #2: [71, 79, 81] from Operation: 87-6=81 Current State: 73:[71, 79, 81], Operations: ['87-6=81'] Exploring Operation: 79-71=8, Resulting Numbers: [81, 8] Generated Node #3: [81, 8] from Operation: 79-71=8 Current State: 73:[81, 8], Operations: ['87-6=81', '79-71=8'] Exploring Operation: 81-8=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 49, 9, 30, 10 ]
61
[ "49+9=58", "30/10=3", "58+3=61" ]
Current State: 61:[49, 9, 30, 10], Operations: [] Exploring Operation: 49+9=58, Resulting Numbers: [30, 10, 58] Generated Node #2: [30, 10, 58] from Operation: 49+9=58 Current State: 61:[30, 10, 58], Operations: ['49+9=58'] Exploring Operation: 30/10=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 30/10=3 Current State: 61:[58, 3], Operations: ['49+9=58', '30/10=3'] Exploring Operation: 58+3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 57, 35, 22, 68 ]
68
[ "57-35=22", "22+68=90", "90-22=68" ]
Current State: 68:[57, 35, 22, 68], Operations: [] Exploring Operation: 57-35=22, Resulting Numbers: [22, 68, 22] Generated Node #2: [22, 68, 22] from Operation: 57-35=22 Current State: 68:[22, 68, 22], Operations: ['57-35=22'] Exploring Operation: 22+68=90, Resulting Numbers: [90] 90,68 equal: Goal Reached Exploring Operation: 90-22=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 24, 33, 88, 60 ]
61
[ "33*88=2904", "2904/24=121", "121-60=61" ]
Current State: 61:[24, 33, 88, 60], Operations: [] Exploring Operation: 33*88=2904, Resulting Numbers: [24, 60, 2904] Generated Node #2: [24, 60, 2904] from Operation: 33*88=2904 Current State: 61:[24, 60, 2904], Operations: ['33*88=2904'] Exploring Operation: 2904/24=121, Resulting Numbers: [60, 121] Generated Node #3: [60, 121] from Operation: 2904/24=121 Current State: 61:[60, 121], Operations: ['33*88=2904', '2904/24=121'] Exploring Operation: 121-60=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 35, 98, 68, 66 ]
49
[ "68-35=33", "98*33=3234", "3234/66=49" ]
Current State: 49:[35, 98, 68, 66], Operations: [] Exploring Operation: 68-35=33, Resulting Numbers: [98, 66, 33] Generated Node #2: [98, 66, 33] from Operation: 68-35=33 Current State: 49:[98, 66, 33], Operations: ['68-35=33'] Exploring Operation: 98*33=3234, Resulting Numbers: [66, 3234] Generated Node #3: [66, 3234] from Operation: 98*33=3234 Current State: 49:[66, 3234], Operations: ['68-35=33', '98*33=3234'] Exploring Operation: 3234/66=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 49, 48, 7, 57 ]
50
[ "49-48=1", "57-7=50", "1*50=50" ]
Current State: 50:[49, 48, 7, 57], Operations: [] Exploring Operation: 49-48=1, Resulting Numbers: [7, 57, 1] Generated Node #2: [7, 57, 1] from Operation: 49-48=1 Current State: 50:[7, 57, 1], Operations: ['49-48=1'] Exploring Operation: 57-7=50, Resulting Numbers: [1, 50] Generated Node #3: [1, 50] from Operation: 57-7=50 Current State: 50:[1, 50], Operations: ['49-48=1', '57-7=50'] Exploring Operation: 1*50=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 32, 29, 10, 32 ]
29
[ "32-32=0", "10*0=0", "29+0=29" ]
Current State: 29:[32, 29, 10, 32], Operations: [] Exploring Operation: 32-32=0, Resulting Numbers: [29, 10, 0] Generated Node #2: [29, 10, 0] from Operation: 32-32=0 Current State: 29:[29, 10, 0], Operations: ['32-32=0'] Exploring Operation: 10*0=0, Resulting Numbers: [29, 0] Generated Node #3: [29, 0] from Operation: 10*0=0 Current State: 29:[29, 0], Operations: ['32-32=0', '10*0=0'] Exploring Operation: 29+0=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 57, 11, 67, 83 ]
30
[ "57-11=46", "83-67=16", "46-16=30" ]
Current State: 30:[57, 11, 67, 83], Operations: [] Exploring Operation: 57-11=46, Resulting Numbers: [67, 83, 46] Generated Node #2: [67, 83, 46] from Operation: 57-11=46 Current State: 30:[67, 83, 46], Operations: ['57-11=46'] Exploring Operation: 83-67=16, Resulting Numbers: [46, 16] Generated Node #3: [46, 16] from Operation: 83-67=16 Current State: 30:[46, 16], Operations: ['57-11=46', '83-67=16'] Exploring Operation: 46-16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 79, 20, 38, 99 ]
38
[ "79+20=99", "38+99=137", "137-99=38" ]
Current State: 38:[79, 20, 38, 99], Operations: [] Exploring Operation: 79+20=99, Resulting Numbers: [38, 99, 99] Generated Node #2: [38, 99, 99] from Operation: 79+20=99 Current State: 38:[38, 99, 99], Operations: ['79+20=99'] Exploring Operation: 38+99=137, Resulting Numbers: [137] 137,38 equal: Goal Reached Exploring Operation: 137-99=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 69, 23, 15, 3 ]
28
[ "69-23=46", "15+3=18", "46-18=28" ]
Current State: 28:[69, 23, 15, 3], Operations: [] Exploring Operation: 69-23=46, Resulting Numbers: [15, 3, 46] Generated Node #2: [15, 3, 46] from Operation: 69-23=46 Current State: 28:[15, 3, 46], Operations: ['69-23=46'] Exploring Operation: 15+3=18, Resulting Numbers: [46, 18] Generated Node #3: [46, 18] from Operation: 15+3=18 Current State: 28:[46, 18], Operations: ['69-23=46', '15+3=18'] Exploring Operation: 46-18=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 48, 87, 13, 45 ]
71
[ "87-48=39", "45-13=32", "39+32=71" ]
Current State: 71:[48, 87, 13, 45], Operations: [] Exploring Operation: 87-48=39, Resulting Numbers: [13, 45, 39] Generated Node #2: [13, 45, 39] from Operation: 87-48=39 Current State: 71:[13, 45, 39], Operations: ['87-48=39'] Exploring Operation: 45-13=32, Resulting Numbers: [39, 32] Generated Node #3: [39, 32] from Operation: 45-13=32 Current State: 71:[39, 32], Operations: ['87-48=39', '45-13=32'] Exploring Operation: 39+32=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 56, 7, 28, 53 ]
74
[ "56-7=49", "53-28=25", "49+25=74" ]
Current State: 74:[56, 7, 28, 53], Operations: [] Exploring Operation: 56-7=49, Resulting Numbers: [28, 53, 49] Generated Node #2: [28, 53, 49] from Operation: 56-7=49 Current State: 74:[28, 53, 49], Operations: ['56-7=49'] Exploring Operation: 53-28=25, Resulting Numbers: [49, 25] Generated Node #3: [49, 25] from Operation: 53-28=25 Current State: 74:[49, 25], Operations: ['56-7=49', '53-28=25'] Exploring Operation: 49+25=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 6, 39, 78, 45 ]
77
[ "6+39=45", "45/45=1", "78-1=77" ]
Current State: 77:[6, 39, 78, 45], Operations: [] Exploring Operation: 6+39=45, Resulting Numbers: [78, 45, 45] Generated Node #2: [78, 45, 45] from Operation: 6+39=45 Current State: 77:[78, 45, 45], Operations: ['6+39=45'] Exploring Operation: 45/45=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 45/45=1 Current State: 77:[78, 1], Operations: ['6+39=45', '45/45=1'] Exploring Operation: 78-1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 40, 86, 46, 30 ]
30
[ "86-40=46", "46+30=76", "76-46=30" ]
Current State: 30:[40, 86, 46, 30], Operations: [] Exploring Operation: 86-40=46, Resulting Numbers: [46, 30, 46] Generated Node #2: [46, 30, 46] from Operation: 86-40=46 Current State: 30:[46, 30, 46], Operations: ['86-40=46'] Exploring Operation: 46+30=76, Resulting Numbers: [76] 76,30 equal: Goal Reached Exploring Operation: 76-46=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 56, 54, 72, 14 ]
50
[ "56-54=2", "72/2=36", "14+36=50" ]
Current State: 50:[56, 54, 72, 14], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [72, 14, 2] Generated Node #2: [72, 14, 2] from Operation: 56-54=2 Current State: 50:[72, 14, 2], Operations: ['56-54=2'] Exploring Operation: 72/2=36, Resulting Numbers: [14, 36] Generated Node #3: [14, 36] from Operation: 72/2=36 Current State: 50:[14, 36], Operations: ['56-54=2', '72/2=36'] Exploring Operation: 14+36=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 39, 55, 21, 33 ]
46
[ "55*33=1815", "1815-21=1794", "1794/39=46" ]
Current State: 46:[39, 55, 21, 33], Operations: [] Exploring Operation: 55*33=1815, Resulting Numbers: [39, 21, 1815] Generated Node #2: [39, 21, 1815] from Operation: 55*33=1815 Current State: 46:[39, 21, 1815], Operations: ['55*33=1815'] Exploring Operation: 1815-21=1794, Resulting Numbers: [39, 1794] Generated Node #3: [39, 1794] from Operation: 1815-21=1794 Current State: 46:[39, 1794], Operations: ['55*33=1815', '1815-21=1794'] Exploring Operation: 1794/39=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 48, 17, 80, 3 ]
83
[ "80-48=32", "17*3=51", "32+51=83" ]
Current State: 83:[48, 17, 80, 3], Operations: [] Exploring Operation: 80-48=32, Resulting Numbers: [17, 3, 32] Generated Node #2: [17, 3, 32] from Operation: 80-48=32 Current State: 83:[17, 3, 32], Operations: ['80-48=32'] Exploring Operation: 17*3=51, Resulting Numbers: [32, 51] Generated Node #3: [32, 51] from Operation: 17*3=51 Current State: 83:[32, 51], Operations: ['80-48=32', '17*3=51'] Exploring Operation: 32+51=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 43, 93, 77, 82 ]
45
[ "93-43=50", "82-77=5", "50-5=45" ]
Current State: 45:[43, 93, 77, 82], Operations: [] Exploring Operation: 93-43=50, Resulting Numbers: [77, 82, 50] Generated Node #2: [77, 82, 50] from Operation: 93-43=50 Current State: 45:[77, 82, 50], Operations: ['93-43=50'] Exploring Operation: 82-77=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 82-77=5 Current State: 45:[50, 5], Operations: ['93-43=50', '82-77=5'] Exploring Operation: 50-5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 46, 16, 28, 75 ]
16
[ "46+28=74", "75-74=1", "16*1=16" ]
Current State: 16:[46, 16, 28, 75], Operations: [] Exploring Operation: 46+28=74, Resulting Numbers: [16, 75, 74] Generated Node #2: [16, 75, 74] from Operation: 46+28=74 Current State: 16:[16, 75, 74], Operations: ['46+28=74'] Exploring Operation: 75-74=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 75-74=1 Current State: 16:[16, 1], Operations: ['46+28=74', '75-74=1'] Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 32, 90, 5, 19 ]
34
[ "90-32=58", "5+19=24", "58-24=34" ]
Current State: 34:[32, 90, 5, 19], Operations: [] Exploring Operation: 90-32=58, Resulting Numbers: [5, 19, 58] Generated Node #2: [5, 19, 58] from Operation: 90-32=58 Current State: 34:[5, 19, 58], Operations: ['90-32=58'] Exploring Operation: 5+19=24, Resulting Numbers: [58, 24] Generated Node #3: [58, 24] from Operation: 5+19=24 Current State: 34:[58, 24], Operations: ['90-32=58', '5+19=24'] Exploring Operation: 58-24=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 7, 65, 6, 6 ]
94
[ "65-7=58", "6*6=36", "58+36=94" ]
Current State: 94:[7, 65, 6, 6], Operations: [] Exploring Operation: 65-7=58, Resulting Numbers: [6, 6, 58] Generated Node #2: [6, 6, 58] from Operation: 65-7=58 Current State: 94:[6, 6, 58], Operations: ['65-7=58'] Exploring Operation: 6*6=36, Resulting Numbers: [58, 36] Generated Node #3: [58, 36] from Operation: 6*6=36 Current State: 94:[58, 36], Operations: ['65-7=58', '6*6=36'] Exploring Operation: 58+36=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 21, 45, 35, 30 ]
90
[ "30-21=9", "45-35=10", "9*10=90" ]
Current State: 90:[21, 45, 35, 30], Operations: [] Exploring Operation: 30-21=9, Resulting Numbers: [45, 35, 9] Generated Node #2: [45, 35, 9] from Operation: 30-21=9 Current State: 90:[45, 35, 9], Operations: ['30-21=9'] Exploring Operation: 45-35=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 45-35=10 Current State: 90:[9, 10], Operations: ['30-21=9', '45-35=10'] Exploring Operation: 9*10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 45, 8, 1, 93 ]
55
[ "45-8=37", "93-1=92", "92-37=55" ]
Current State: 55:[45, 8, 1, 93], Operations: [] Exploring Operation: 45-8=37, Resulting Numbers: [1, 93, 37] Generated Node #2: [1, 93, 37] from Operation: 45-8=37 Current State: 55:[1, 93, 37], Operations: ['45-8=37'] Exploring Operation: 93-1=92, Resulting Numbers: [37, 92] Generated Node #3: [37, 92] from Operation: 93-1=92 Current State: 55:[37, 92], Operations: ['45-8=37', '93-1=92'] Exploring Operation: 92-37=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 5, 64, 27, 11 ]
13
[ "5+27=32", "64/32=2", "11+2=13" ]
Current State: 13:[5, 64, 27, 11], Operations: [] Exploring Operation: 5+27=32, Resulting Numbers: [64, 11, 32] Generated Node #2: [64, 11, 32] from Operation: 5+27=32 Current State: 13:[64, 11, 32], Operations: ['5+27=32'] Exploring Operation: 64/32=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 64/32=2 Current State: 13:[11, 2], Operations: ['5+27=32', '64/32=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 2, 62, 80, 24 ]
90
[ "80-24=56", "56/2=28", "62+28=90" ]
Current State: 90:[2, 62, 80, 24], Operations: [] Exploring Operation: 80-24=56, Resulting Numbers: [2, 62, 56] Generated Node #2: [2, 62, 56] from Operation: 80-24=56 Current State: 90:[2, 62, 56], Operations: ['80-24=56'] Exploring Operation: 56/2=28, Resulting Numbers: [62, 28] Generated Node #3: [62, 28] from Operation: 56/2=28 Current State: 90:[62, 28], Operations: ['80-24=56', '56/2=28'] Exploring Operation: 62+28=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 89, 73, 91, 29 ]
46
[ "89-73=16", "91-29=62", "62-16=46" ]
Current State: 46:[89, 73, 91, 29], Operations: [] Exploring Operation: 89-73=16, Resulting Numbers: [91, 29, 16] Generated Node #2: [91, 29, 16] from Operation: 89-73=16 Current State: 46:[91, 29, 16], Operations: ['89-73=16'] Exploring Operation: 91-29=62, Resulting Numbers: [16, 62] Generated Node #3: [16, 62] from Operation: 91-29=62 Current State: 46:[16, 62], Operations: ['89-73=16', '91-29=62'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 27, 22, 48, 13 ]
12
[ "27+22=49", "48+13=61", "61-49=12" ]
Current State: 12:[27, 22, 48, 13], Operations: [] Exploring Operation: 27+22=49, Resulting Numbers: [48, 13, 49] Generated Node #2: [48, 13, 49] from Operation: 27+22=49 Current State: 12:[48, 13, 49], Operations: ['27+22=49'] Exploring Operation: 48+13=61, Resulting Numbers: [49, 61] Generated Node #3: [49, 61] from Operation: 48+13=61 Current State: 12:[49, 61], Operations: ['27+22=49', '48+13=61'] Exploring Operation: 61-49=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 12, 2, 92, 47 ]
31
[ "12+2=14", "92-47=45", "45-14=31" ]
Current State: 31:[12, 2, 92, 47], Operations: [] Exploring Operation: 12+2=14, Resulting Numbers: [92, 47, 14] Generated Node #2: [92, 47, 14] from Operation: 12+2=14 Current State: 31:[92, 47, 14], Operations: ['12+2=14'] Exploring Operation: 92-47=45, Resulting Numbers: [14, 45] Generated Node #3: [14, 45] from Operation: 92-47=45 Current State: 31:[14, 45], Operations: ['12+2=14', '92-47=45'] Exploring Operation: 45-14=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 55, 31, 8, 47 ]
44
[ "55-31=24", "24/8=3", "47-3=44" ]
Current State: 44:[55, 31, 8, 47], Operations: [] Exploring Operation: 55-31=24, Resulting Numbers: [8, 47, 24] Generated Node #2: [8, 47, 24] from Operation: 55-31=24 Current State: 44:[8, 47, 24], Operations: ['55-31=24'] Exploring Operation: 24/8=3, Resulting Numbers: [47, 3] Generated Node #3: [47, 3] from Operation: 24/8=3 Current State: 44:[47, 3], Operations: ['55-31=24', '24/8=3'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 93, 34, 9, 43 ]
13
[ "93+43=136", "136/34=4", "9+4=13" ]
Current State: 13:[93, 34, 9, 43], Operations: [] Exploring Operation: 93+43=136, Resulting Numbers: [34, 9, 136] Generated Node #2: [34, 9, 136] from Operation: 93+43=136 Current State: 13:[34, 9, 136], Operations: ['93+43=136'] Exploring Operation: 136/34=4, Resulting Numbers: [9, 4] Generated Node #3: [9, 4] from Operation: 136/34=4 Current State: 13:[9, 4], Operations: ['93+43=136', '136/34=4'] Exploring Operation: 9+4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 93, 94, 22, 69 ]
95
[ "69-22=47", "94/47=2", "93+2=95" ]
Current State: 95:[93, 94, 22, 69], Operations: [] Exploring Operation: 69-22=47, Resulting Numbers: [93, 94, 47] Generated Node #2: [93, 94, 47] from Operation: 69-22=47 Current State: 95:[93, 94, 47], Operations: ['69-22=47'] Exploring Operation: 94/47=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 94/47=2 Current State: 95:[93, 2], Operations: ['69-22=47', '94/47=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 30, 37, 99, 38 ]
17
[ "38-30=8", "37+99=136", "136/8=17" ]
Current State: 17:[30, 37, 99, 38], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [37, 99, 8] Generated Node #2: [37, 99, 8] from Operation: 38-30=8 Current State: 17:[37, 99, 8], Operations: ['38-30=8'] Exploring Operation: 37+99=136, Resulting Numbers: [8, 136] Generated Node #3: [8, 136] from Operation: 37+99=136 Current State: 17:[8, 136], Operations: ['38-30=8', '37+99=136'] Exploring Operation: 136/8=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 69, 5, 11, 71 ]
81
[ "71-11=60", "60/5=12", "69+12=81" ]
Current State: 81:[69, 5, 11, 71], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [69, 5, 60] Generated Node #2: [69, 5, 60] from Operation: 71-11=60 Current State: 81:[69, 5, 60], Operations: ['71-11=60'] Exploring Operation: 60/5=12, Resulting Numbers: [69, 12] Generated Node #3: [69, 12] from Operation: 60/5=12 Current State: 81:[69, 12], Operations: ['71-11=60', '60/5=12'] Exploring Operation: 69+12=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 46, 16, 29, 19 ]
40
[ "46-16=30", "29-19=10", "30+10=40" ]
Current State: 40:[46, 16, 29, 19], Operations: [] Exploring Operation: 46-16=30, Resulting Numbers: [29, 19, 30] Generated Node #2: [29, 19, 30] from Operation: 46-16=30 Current State: 40:[29, 19, 30], Operations: ['46-16=30'] Exploring Operation: 29-19=10, Resulting Numbers: [30, 10] Generated Node #3: [30, 10] from Operation: 29-19=10 Current State: 40:[30, 10], Operations: ['46-16=30', '29-19=10'] Exploring Operation: 30+10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 50, 90, 5, 30 ]
39
[ "50/5=10", "90/10=9", "30+9=39" ]
Current State: 39:[50, 90, 5, 30], Operations: [] Exploring Operation: 50/5=10, Resulting Numbers: [90, 30, 10] Generated Node #2: [90, 30, 10] from Operation: 50/5=10 Current State: 39:[90, 30, 10], Operations: ['50/5=10'] Exploring Operation: 90/10=9, Resulting Numbers: [30, 9] Generated Node #3: [30, 9] from Operation: 90/10=9 Current State: 39:[30, 9], Operations: ['50/5=10', '90/10=9'] Exploring Operation: 30+9=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 75, 81, 56, 45 ]
55
[ "75+81=156", "56+45=101", "156-101=55" ]
Current State: 55:[75, 81, 56, 45], Operations: [] Exploring Operation: 75+81=156, Resulting Numbers: [56, 45, 156] Generated Node #2: [56, 45, 156] from Operation: 75+81=156 Current State: 55:[56, 45, 156], Operations: ['75+81=156'] Exploring Operation: 56+45=101, Resulting Numbers: [156, 101] Generated Node #3: [156, 101] from Operation: 56+45=101 Current State: 55:[156, 101], Operations: ['75+81=156', '56+45=101'] Exploring Operation: 156-101=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 25, 22, 40, 4 ]
55
[ "25*22=550", "40/4=10", "550/10=55" ]
Current State: 55:[25, 22, 40, 4], Operations: [] Exploring Operation: 25*22=550, Resulting Numbers: [40, 4, 550] Generated Node #2: [40, 4, 550] from Operation: 25*22=550 Current State: 55:[40, 4, 550], Operations: ['25*22=550'] Exploring Operation: 40/4=10, Resulting Numbers: [550, 10] Generated Node #3: [550, 10] from Operation: 40/4=10 Current State: 55:[550, 10], Operations: ['25*22=550', '40/4=10'] Exploring Operation: 550/10=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 14, 15, 54, 38 ]
16
[ "15-14=1", "54-38=16", "1*16=16" ]
Current State: 16:[14, 15, 54, 38], Operations: [] Exploring Operation: 15-14=1, Resulting Numbers: [54, 38, 1] Generated Node #2: [54, 38, 1] from Operation: 15-14=1 Current State: 16:[54, 38, 1], Operations: ['15-14=1'] Exploring Operation: 54-38=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 54-38=16 Current State: 16:[1, 16], Operations: ['15-14=1', '54-38=16'] Exploring Operation: 1*16=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 40, 51, 29, 40 ]
42
[ "51+29=80", "80/40=2", "40+2=42" ]
Current State: 42:[40, 51, 29, 40], Operations: [] Exploring Operation: 51+29=80, Resulting Numbers: [40, 40, 80] Generated Node #2: [40, 40, 80] from Operation: 51+29=80 Current State: 42:[40, 40, 80], Operations: ['51+29=80'] Exploring Operation: 80/40=2, Resulting Numbers: [2] 2,42 equal: Goal Reached Exploring Operation: 40+2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 59, 44, 41, 20 ]
42
[ "59+44=103", "41+20=61", "103-61=42" ]
Current State: 42:[59, 44, 41, 20], Operations: [] Exploring Operation: 59+44=103, Resulting Numbers: [41, 20, 103] Generated Node #2: [41, 20, 103] from Operation: 59+44=103 Current State: 42:[41, 20, 103], Operations: ['59+44=103'] Exploring Operation: 41+20=61, Resulting Numbers: [103, 61] Generated Node #3: [103, 61] from Operation: 41+20=61 Current State: 42:[103, 61], Operations: ['59+44=103', '41+20=61'] Exploring Operation: 103-61=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4