Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 45, 59, 31, 23 ]
96
[ "45+59=104", "31-23=8", "104-8=96" ]
Current State: 96:[45, 59, 31, 23], Operations: [] Exploring Operation: 45+59=104, Resulting Numbers: [31, 23, 104] Generated Node #2: [31, 23, 104] from Operation: 45+59=104 Current State: 96:[31, 23, 104], Operations: ['45+59=104'] Exploring Operation: 31-23=8, Resulting Numbers: [104, 8] Generated Node #3: [104, 8] from Operation: 31-23=8 Current State: 96:[104, 8], Operations: ['45+59=104', '31-23=8'] Exploring Operation: 104-8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 51, 72, 86, 15 ]
22
[ "51+72=123", "86+15=101", "123-101=22" ]
Current State: 22:[51, 72, 86, 15], Operations: [] Exploring Operation: 51+72=123, Resulting Numbers: [86, 15, 123] Generated Node #2: [86, 15, 123] from Operation: 51+72=123 Current State: 22:[86, 15, 123], Operations: ['51+72=123'] Exploring Operation: 86+15=101, Resulting Numbers: [123, 101] Generated Node #3: [123, 101] from Operation: 86+15=101 Current State: 22:[123, 101], Operations: ['51+72=123', '86+15=101'] Exploring Operation: 123-101=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 92, 19, 61, 31 ]
18
[ "92-61=31", "31/31=1", "19-1=18" ]
Current State: 18:[92, 19, 61, 31], Operations: [] Exploring Operation: 92-61=31, Resulting Numbers: [19, 31, 31] Generated Node #2: [19, 31, 31] from Operation: 92-61=31 Current State: 18:[19, 31, 31], Operations: ['92-61=31'] Exploring Operation: 31/31=1, Resulting Numbers: [19, 1] Generated Node #3: [19, 1] from Operation: 31/31=1 Current State: 18:[19, 1], Operations: ['92-61=31', '31/31=1'] Exploring Operation: 19-1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 45, 64, 92, 7 ]
80
[ "64-45=19", "92+7=99", "99-19=80" ]
Current State: 80:[45, 64, 92, 7], Operations: [] Exploring Operation: 64-45=19, Resulting Numbers: [92, 7, 19] Generated Node #2: [92, 7, 19] from Operation: 64-45=19 Current State: 80:[92, 7, 19], Operations: ['64-45=19'] Exploring Operation: 92+7=99, Resulting Numbers: [19, 99] Generated Node #3: [19, 99] from Operation: 92+7=99 Current State: 80:[19, 99], Operations: ['64-45=19', '92+7=99'] Exploring Operation: 99-19=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 3, 96, 51, 78 ]
87
[ "3*78=234", "96+51=147", "234-147=87" ]
Current State: 87:[3, 96, 51, 78], Operations: [] Exploring Operation: 3*78=234, Resulting Numbers: [96, 51, 234] Generated Node #2: [96, 51, 234] from Operation: 3*78=234 Current State: 87:[96, 51, 234], Operations: ['3*78=234'] Exploring Operation: 96+51=147, Resulting Numbers: [234, 147] Generated Node #3: [234, 147] from Operation: 96+51=147 Current State: 87:[234, 147], Operations: ['3*78=234', '96+51=147'] Exploring Operation: 234-147=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 16, 14, 62, 13 ]
19
[ "16+14=30", "62-13=49", "49-30=19" ]
Current State: 19:[16, 14, 62, 13], Operations: [] Exploring Operation: 16+14=30, Resulting Numbers: [62, 13, 30] Generated Node #2: [62, 13, 30] from Operation: 16+14=30 Current State: 19:[62, 13, 30], Operations: ['16+14=30'] Exploring Operation: 62-13=49, Resulting Numbers: [30, 49] Generated Node #3: [30, 49] from Operation: 62-13=49 Current State: 19:[30, 49], Operations: ['16+14=30', '62-13=49'] Exploring Operation: 49-30=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 42, 89, 85, 2 ]
44
[ "42+89=131", "85+2=87", "131-87=44" ]
Current State: 44:[42, 89, 85, 2], Operations: [] Exploring Operation: 42+89=131, Resulting Numbers: [85, 2, 131] Generated Node #2: [85, 2, 131] from Operation: 42+89=131 Current State: 44:[85, 2, 131], Operations: ['42+89=131'] Exploring Operation: 85+2=87, Resulting Numbers: [131, 87] Generated Node #3: [131, 87] from Operation: 85+2=87 Current State: 44:[131, 87], Operations: ['42+89=131', '85+2=87'] Exploring Operation: 131-87=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 18, 30, 15, 40 ]
50
[ "30-18=12", "15*40=600", "600/12=50" ]
Current State: 50:[18, 30, 15, 40], Operations: [] Exploring Operation: 30-18=12, Resulting Numbers: [15, 40, 12] Generated Node #2: [15, 40, 12] from Operation: 30-18=12 Current State: 50:[15, 40, 12], Operations: ['30-18=12'] Exploring Operation: 15*40=600, Resulting Numbers: [12, 600] Generated Node #3: [12, 600] from Operation: 15*40=600 Current State: 50:[12, 600], Operations: ['30-18=12', '15*40=600'] Exploring Operation: 600/12=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 75, 43, 90, 14 ]
43
[ "90-75=15", "15-14=1", "43*1=43" ]
Current State: 43:[75, 43, 90, 14], Operations: [] Exploring Operation: 90-75=15, Resulting Numbers: [43, 14, 15] Generated Node #2: [43, 14, 15] from Operation: 90-75=15 Current State: 43:[43, 14, 15], Operations: ['90-75=15'] Exploring Operation: 15-14=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 15-14=1 Current State: 43:[43, 1], Operations: ['90-75=15', '15-14=1'] Exploring Operation: 43*1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 16, 3, 62, 77 ]
28
[ "16-3=13", "77-62=15", "13+15=28" ]
Current State: 28:[16, 3, 62, 77], Operations: [] Exploring Operation: 16-3=13, Resulting Numbers: [62, 77, 13] Generated Node #2: [62, 77, 13] from Operation: 16-3=13 Current State: 28:[62, 77, 13], Operations: ['16-3=13'] Exploring Operation: 77-62=15, Resulting Numbers: [13, 15] Generated Node #3: [13, 15] from Operation: 77-62=15 Current State: 28:[13, 15], Operations: ['16-3=13', '77-62=15'] Exploring Operation: 13+15=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 29, 96, 53, 97 ]
81
[ "29+96=125", "97-53=44", "125-44=81" ]
Current State: 81:[29, 96, 53, 97], Operations: [] Exploring Operation: 29+96=125, Resulting Numbers: [53, 97, 125] Generated Node #2: [53, 97, 125] from Operation: 29+96=125 Current State: 81:[53, 97, 125], Operations: ['29+96=125'] Exploring Operation: 97-53=44, Resulting Numbers: [125, 44] Generated Node #3: [125, 44] from Operation: 97-53=44 Current State: 81:[125, 44], Operations: ['29+96=125', '97-53=44'] Exploring Operation: 125-44=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 54, 87, 27, 3 ]
24
[ "87-54=33", "27/3=9", "33-9=24" ]
Current State: 24:[54, 87, 27, 3], Operations: [] Exploring Operation: 87-54=33, Resulting Numbers: [27, 3, 33] Generated Node #2: [27, 3, 33] from Operation: 87-54=33 Current State: 24:[27, 3, 33], Operations: ['87-54=33'] Exploring Operation: 27/3=9, Resulting Numbers: [33, 9] Generated Node #3: [33, 9] from Operation: 27/3=9 Current State: 24:[33, 9], Operations: ['87-54=33', '27/3=9'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 28, 82, 2, 65 ]
92
[ "82-28=54", "54/2=27", "65+27=92" ]
Current State: 92:[28, 82, 2, 65], Operations: [] Exploring Operation: 82-28=54, Resulting Numbers: [2, 65, 54] Generated Node #2: [2, 65, 54] from Operation: 82-28=54 Current State: 92:[2, 65, 54], Operations: ['82-28=54'] Exploring Operation: 54/2=27, Resulting Numbers: [65, 27] Generated Node #3: [65, 27] from Operation: 54/2=27 Current State: 92:[65, 27], Operations: ['82-28=54', '54/2=27'] Exploring Operation: 65+27=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 33, 22, 40, 3 ]
87
[ "33-22=11", "40-11=29", "3*29=87" ]
Current State: 87:[33, 22, 40, 3], Operations: [] Exploring Operation: 33-22=11, Resulting Numbers: [40, 3, 11] Generated Node #2: [40, 3, 11] from Operation: 33-22=11 Current State: 87:[40, 3, 11], Operations: ['33-22=11'] Exploring Operation: 40-11=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 40-11=29 Current State: 87:[3, 29], Operations: ['33-22=11', '40-11=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 88, 82, 72, 7 ]
72
[ "88-82=6", "7-6=1", "72*1=72" ]
Current State: 72:[88, 82, 72, 7], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [72, 7, 6] Generated Node #2: [72, 7, 6] from Operation: 88-82=6 Current State: 72:[72, 7, 6], Operations: ['88-82=6'] Exploring Operation: 7-6=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 7-6=1 Current State: 72:[72, 1], Operations: ['88-82=6', '7-6=1'] Exploring Operation: 72*1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 97, 77, 2, 40 ]
62
[ "97-77=20", "2+40=42", "20+42=62" ]
Current State: 62:[97, 77, 2, 40], Operations: [] Exploring Operation: 97-77=20, Resulting Numbers: [2, 40, 20] Generated Node #2: [2, 40, 20] from Operation: 97-77=20 Current State: 62:[2, 40, 20], Operations: ['97-77=20'] Exploring Operation: 2+40=42, Resulting Numbers: [20, 42] Generated Node #3: [20, 42] from Operation: 2+40=42 Current State: 62:[20, 42], Operations: ['97-77=20', '2+40=42'] Exploring Operation: 20+42=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 11, 87, 36, 18 ]
96
[ "11+87=98", "36/18=2", "98-2=96" ]
Current State: 96:[11, 87, 36, 18], Operations: [] Exploring Operation: 11+87=98, Resulting Numbers: [36, 18, 98] Generated Node #2: [36, 18, 98] from Operation: 11+87=98 Current State: 96:[36, 18, 98], Operations: ['11+87=98'] Exploring Operation: 36/18=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 36/18=2 Current State: 96:[98, 2], Operations: ['11+87=98', '36/18=2'] Exploring Operation: 98-2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 3, 19, 51, 84 ]
50
[ "3*51=153", "19+84=103", "153-103=50" ]
Current State: 50:[3, 19, 51, 84], Operations: [] Exploring Operation: 3*51=153, Resulting Numbers: [19, 84, 153] Generated Node #2: [19, 84, 153] from Operation: 3*51=153 Current State: 50:[19, 84, 153], Operations: ['3*51=153'] Exploring Operation: 19+84=103, Resulting Numbers: [153, 103] Generated Node #3: [153, 103] from Operation: 19+84=103 Current State: 50:[153, 103], Operations: ['3*51=153', '19+84=103'] Exploring Operation: 153-103=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 95, 75, 91, 2 ]
69
[ "95-75=20", "91-2=89", "89-20=69" ]
Current State: 69:[95, 75, 91, 2], Operations: [] Exploring Operation: 95-75=20, Resulting Numbers: [91, 2, 20] Generated Node #2: [91, 2, 20] from Operation: 95-75=20 Current State: 69:[91, 2, 20], Operations: ['95-75=20'] Exploring Operation: 91-2=89, Resulting Numbers: [20, 89] Generated Node #3: [20, 89] from Operation: 91-2=89 Current State: 69:[20, 89], Operations: ['95-75=20', '91-2=89'] Exploring Operation: 89-20=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 63, 96, 34, 10 ]
57
[ "96-63=33", "34-10=24", "33+24=57" ]
Current State: 57:[63, 96, 34, 10], Operations: [] Exploring Operation: 96-63=33, Resulting Numbers: [34, 10, 33] Generated Node #2: [34, 10, 33] from Operation: 96-63=33 Current State: 57:[34, 10, 33], Operations: ['96-63=33'] Exploring Operation: 34-10=24, Resulting Numbers: [33, 24] Generated Node #3: [33, 24] from Operation: 34-10=24 Current State: 57:[33, 24], Operations: ['96-63=33', '34-10=24'] Exploring Operation: 33+24=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 67, 62, 20, 87 ]
61
[ "67+20=87", "87/87=1", "62-1=61" ]
Current State: 61:[67, 62, 20, 87], Operations: [] Exploring Operation: 67+20=87, Resulting Numbers: [62, 87, 87] Generated Node #2: [62, 87, 87] from Operation: 67+20=87 Current State: 61:[62, 87, 87], Operations: ['67+20=87'] Exploring Operation: 87/87=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 87/87=1 Current State: 61:[62, 1], Operations: ['67+20=87', '87/87=1'] Exploring Operation: 62-1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 12, 32, 31, 4 ]
61
[ "12*31=372", "372/4=93", "93-32=61" ]
Current State: 61:[12, 32, 31, 4], Operations: [] Exploring Operation: 12*31=372, Resulting Numbers: [32, 4, 372] Generated Node #2: [32, 4, 372] from Operation: 12*31=372 Current State: 61:[32, 4, 372], Operations: ['12*31=372'] Exploring Operation: 372/4=93, Resulting Numbers: [32, 93] Generated Node #3: [32, 93] from Operation: 372/4=93 Current State: 61:[32, 93], Operations: ['12*31=372', '372/4=93'] Exploring Operation: 93-32=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 44, 61, 64, 61 ]
71
[ "64-61=3", "44*3=132", "132-61=71" ]
Current State: 71:[44, 61, 64, 61], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [44, 3] Generated Node #2: [44, 3] from Operation: 64-61=3 Current State: 71:[44, 3], Operations: ['64-61=3'] Exploring Operation: 44*3=132, Resulting Numbers: [132] 132,71 equal: Goal Reached Exploring Operation: 132-61=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 61, 94, 74, 12 ]
95
[ "94-61=33", "74-12=62", "33+62=95" ]
Current State: 95:[61, 94, 74, 12], Operations: [] Exploring Operation: 94-61=33, Resulting Numbers: [74, 12, 33] Generated Node #2: [74, 12, 33] from Operation: 94-61=33 Current State: 95:[74, 12, 33], Operations: ['94-61=33'] Exploring Operation: 74-12=62, Resulting Numbers: [33, 62] Generated Node #3: [33, 62] from Operation: 74-12=62 Current State: 95:[33, 62], Operations: ['94-61=33', '74-12=62'] Exploring Operation: 33+62=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 8, 89, 24, 19 ]
38
[ "89-8=81", "24+19=43", "81-43=38" ]
Current State: 38:[8, 89, 24, 19], Operations: [] Exploring Operation: 89-8=81, Resulting Numbers: [24, 19, 81] Generated Node #2: [24, 19, 81] from Operation: 89-8=81 Current State: 38:[24, 19, 81], Operations: ['89-8=81'] Exploring Operation: 24+19=43, Resulting Numbers: [81, 43] Generated Node #3: [81, 43] from Operation: 24+19=43 Current State: 38:[81, 43], Operations: ['89-8=81', '24+19=43'] Exploring Operation: 81-43=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 35, 8, 7, 52 ]
72
[ "35-8=27", "52-7=45", "27+45=72" ]
Current State: 72:[35, 8, 7, 52], Operations: [] Exploring Operation: 35-8=27, Resulting Numbers: [7, 52, 27] Generated Node #2: [7, 52, 27] from Operation: 35-8=27 Current State: 72:[7, 52, 27], Operations: ['35-8=27'] Exploring Operation: 52-7=45, Resulting Numbers: [27, 45] Generated Node #3: [27, 45] from Operation: 52-7=45 Current State: 72:[27, 45], Operations: ['35-8=27', '52-7=45'] Exploring Operation: 27+45=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 90, 76, 2, 62 ]
66
[ "90-62=28", "76/2=38", "28+38=66" ]
Current State: 66:[90, 76, 2, 62], Operations: [] Exploring Operation: 90-62=28, Resulting Numbers: [76, 2, 28] Generated Node #2: [76, 2, 28] from Operation: 90-62=28 Current State: 66:[76, 2, 28], Operations: ['90-62=28'] Exploring Operation: 76/2=38, Resulting Numbers: [28, 38] Generated Node #3: [28, 38] from Operation: 76/2=38 Current State: 66:[28, 38], Operations: ['90-62=28', '76/2=38'] Exploring Operation: 28+38=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 38, 23, 29, 41 ]
98
[ "41-38=3", "23*3=69", "29+69=98" ]
Current State: 98:[38, 23, 29, 41], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [23, 29, 3] Generated Node #2: [23, 29, 3] from Operation: 41-38=3 Current State: 98:[23, 29, 3], Operations: ['41-38=3'] Exploring Operation: 23*3=69, Resulting Numbers: [29, 69] Generated Node #3: [29, 69] from Operation: 23*3=69 Current State: 98:[29, 69], Operations: ['41-38=3', '23*3=69'] Exploring Operation: 29+69=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 19, 84, 46, 21 ]
40
[ "84-19=65", "46-21=25", "65-25=40" ]
Current State: 40:[19, 84, 46, 21], Operations: [] Exploring Operation: 84-19=65, Resulting Numbers: [46, 21, 65] Generated Node #2: [46, 21, 65] from Operation: 84-19=65 Current State: 40:[46, 21, 65], Operations: ['84-19=65'] Exploring Operation: 46-21=25, Resulting Numbers: [65, 25] Generated Node #3: [65, 25] from Operation: 46-21=25 Current State: 40:[65, 25], Operations: ['84-19=65', '46-21=25'] Exploring Operation: 65-25=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 33, 17, 18, 47 ]
79
[ "33+17=50", "47-18=29", "50+29=79" ]
Current State: 79:[33, 17, 18, 47], Operations: [] Exploring Operation: 33+17=50, Resulting Numbers: [18, 47, 50] Generated Node #2: [18, 47, 50] from Operation: 33+17=50 Current State: 79:[18, 47, 50], Operations: ['33+17=50'] Exploring Operation: 47-18=29, Resulting Numbers: [50, 29] Generated Node #3: [50, 29] from Operation: 47-18=29 Current State: 79:[50, 29], Operations: ['33+17=50', '47-18=29'] Exploring Operation: 50+29=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 21, 16, 45, 23 ]
58
[ "23-21=2", "45-16=29", "2*29=58" ]
Current State: 58:[21, 16, 45, 23], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [16, 45, 2] Generated Node #2: [16, 45, 2] from Operation: 23-21=2 Current State: 58:[16, 45, 2], Operations: ['23-21=2'] Exploring Operation: 45-16=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 45-16=29 Current State: 58:[2, 29], Operations: ['23-21=2', '45-16=29'] Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 29, 53, 45, 3 ]
53
[ "29+53=82", "45*3=135", "135-82=53" ]
Current State: 53:[29, 53, 45, 3], Operations: [] Exploring Operation: 29+53=82, Resulting Numbers: [45, 3, 82] Generated Node #2: [45, 3, 82] from Operation: 29+53=82 Current State: 53:[45, 3, 82], Operations: ['29+53=82'] Exploring Operation: 45*3=135, Resulting Numbers: [82, 135] Generated Node #3: [82, 135] from Operation: 45*3=135 Current State: 53:[82, 135], Operations: ['29+53=82', '45*3=135'] Exploring Operation: 135-82=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 48, 88, 24, 90 ]
24
[ "88*24=2112", "48+2112=2160", "2160/90=24" ]
Current State: 24:[48, 88, 24, 90], Operations: [] Exploring Operation: 88*24=2112, Resulting Numbers: [48, 90, 2112] Generated Node #2: [48, 90, 2112] from Operation: 88*24=2112 Current State: 24:[48, 90, 2112], Operations: ['88*24=2112'] Exploring Operation: 48+2112=2160, Resulting Numbers: [90, 2160] Generated Node #3: [90, 2160] from Operation: 48+2112=2160 Current State: 24:[90, 2160], Operations: ['88*24=2112', '48+2112=2160'] Exploring Operation: 2160/90=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 14, 31, 11, 57 ]
91
[ "14+31=45", "57-11=46", "45+46=91" ]
Current State: 91:[14, 31, 11, 57], Operations: [] Exploring Operation: 14+31=45, Resulting Numbers: [11, 57, 45] Generated Node #2: [11, 57, 45] from Operation: 14+31=45 Current State: 91:[11, 57, 45], Operations: ['14+31=45'] Exploring Operation: 57-11=46, Resulting Numbers: [45, 46] Generated Node #3: [45, 46] from Operation: 57-11=46 Current State: 91:[45, 46], Operations: ['14+31=45', '57-11=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 64, 96, 67, 39 ]
71
[ "67-64=3", "96/3=32", "39+32=71" ]
Current State: 71:[64, 96, 67, 39], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [96, 39, 3] Generated Node #2: [96, 39, 3] from Operation: 67-64=3 Current State: 71:[96, 39, 3], Operations: ['67-64=3'] Exploring Operation: 96/3=32, Resulting Numbers: [39, 32] Generated Node #3: [39, 32] from Operation: 96/3=32 Current State: 71:[39, 32], Operations: ['67-64=3', '96/3=32'] Exploring Operation: 39+32=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 86, 40, 62, 33 ]
75
[ "86-40=46", "62-33=29", "46+29=75" ]
Current State: 75:[86, 40, 62, 33], Operations: [] Exploring Operation: 86-40=46, Resulting Numbers: [62, 33, 46] Generated Node #2: [62, 33, 46] from Operation: 86-40=46 Current State: 75:[62, 33, 46], Operations: ['86-40=46'] Exploring Operation: 62-33=29, Resulting Numbers: [46, 29] Generated Node #3: [46, 29] from Operation: 62-33=29 Current State: 75:[46, 29], Operations: ['86-40=46', '62-33=29'] Exploring Operation: 46+29=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 28, 74, 84, 47 ]
56
[ "28*74=2072", "84-47=37", "2072/37=56" ]
Current State: 56:[28, 74, 84, 47], Operations: [] Exploring Operation: 28*74=2072, Resulting Numbers: [84, 47, 2072] Generated Node #2: [84, 47, 2072] from Operation: 28*74=2072 Current State: 56:[84, 47, 2072], Operations: ['28*74=2072'] Exploring Operation: 84-47=37, Resulting Numbers: [2072, 37] Generated Node #3: [2072, 37] from Operation: 84-47=37 Current State: 56:[2072, 37], Operations: ['28*74=2072', '84-47=37'] Exploring Operation: 2072/37=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 3, 35, 7, 81 ]
31
[ "3*35=105", "81-7=74", "105-74=31" ]
Current State: 31:[3, 35, 7, 81], Operations: [] Exploring Operation: 3*35=105, Resulting Numbers: [7, 81, 105] Generated Node #2: [7, 81, 105] from Operation: 3*35=105 Current State: 31:[7, 81, 105], Operations: ['3*35=105'] Exploring Operation: 81-7=74, Resulting Numbers: [105, 74] Generated Node #3: [105, 74] from Operation: 81-7=74 Current State: 31:[105, 74], Operations: ['3*35=105', '81-7=74'] Exploring Operation: 105-74=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 43, 23, 45, 86 ]
67
[ "86/43=2", "45*2=90", "90-23=67" ]
Current State: 67:[43, 23, 45, 86], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [23, 45, 2] Generated Node #2: [23, 45, 2] from Operation: 86/43=2 Current State: 67:[23, 45, 2], Operations: ['86/43=2'] Exploring Operation: 45*2=90, Resulting Numbers: [23, 90] Generated Node #3: [23, 90] from Operation: 45*2=90 Current State: 67:[23, 90], Operations: ['86/43=2', '45*2=90'] Exploring Operation: 90-23=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 86, 38, 34, 1 ]
82
[ "86-38=48", "34*1=34", "48+34=82" ]
Current State: 82:[86, 38, 34, 1], Operations: [] Exploring Operation: 86-38=48, Resulting Numbers: [34, 1, 48] Generated Node #2: [34, 1, 48] from Operation: 86-38=48 Current State: 82:[34, 1, 48], Operations: ['86-38=48'] Exploring Operation: 34*1=34, Resulting Numbers: [48, 34] Generated Node #3: [48, 34] from Operation: 34*1=34 Current State: 82:[48, 34], Operations: ['86-38=48', '34*1=34'] Exploring Operation: 48+34=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 30, 58, 35, 25 ]
16
[ "30*35=1050", "1050/25=42", "58-42=16" ]
Current State: 16:[30, 58, 35, 25], Operations: [] Exploring Operation: 30*35=1050, Resulting Numbers: [58, 25, 1050] Generated Node #2: [58, 25, 1050] from Operation: 30*35=1050 Current State: 16:[58, 25, 1050], Operations: ['30*35=1050'] Exploring Operation: 1050/25=42, Resulting Numbers: [58, 42] Generated Node #3: [58, 42] from Operation: 1050/25=42 Current State: 16:[58, 42], Operations: ['30*35=1050', '1050/25=42'] Exploring Operation: 58-42=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 82, 94, 62 ]
68
[ "94-82=12", "12/2=6", "62+6=68" ]
Current State: 68:[2, 82, 94, 62], Operations: [] Exploring Operation: 94-82=12, Resulting Numbers: [2, 62, 12] Generated Node #2: [2, 62, 12] from Operation: 94-82=12 Current State: 68:[2, 62, 12], Operations: ['94-82=12'] Exploring Operation: 12/2=6, Resulting Numbers: [62, 6] Generated Node #3: [62, 6] from Operation: 12/2=6 Current State: 68:[62, 6], Operations: ['94-82=12', '12/2=6'] Exploring Operation: 62+6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 44, 18, 19, 90 ]
45
[ "44-18=26", "90-19=71", "71-26=45" ]
Current State: 45:[44, 18, 19, 90], Operations: [] Exploring Operation: 44-18=26, Resulting Numbers: [19, 90, 26] Generated Node #2: [19, 90, 26] from Operation: 44-18=26 Current State: 45:[19, 90, 26], Operations: ['44-18=26'] Exploring Operation: 90-19=71, Resulting Numbers: [26, 71] Generated Node #3: [26, 71] from Operation: 90-19=71 Current State: 45:[26, 71], Operations: ['44-18=26', '90-19=71'] Exploring Operation: 71-26=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 55, 91, 64, 75 ]
51
[ "91-75=16", "64/16=4", "55-4=51" ]
Current State: 51:[55, 91, 64, 75], Operations: [] Exploring Operation: 91-75=16, Resulting Numbers: [55, 64, 16] Generated Node #2: [55, 64, 16] from Operation: 91-75=16 Current State: 51:[55, 64, 16], Operations: ['91-75=16'] Exploring Operation: 64/16=4, Resulting Numbers: [55, 4] Generated Node #3: [55, 4] from Operation: 64/16=4 Current State: 51:[55, 4], Operations: ['91-75=16', '64/16=4'] Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 89, 92, 13, 88 ]
72
[ "92-89=3", "88-13=75", "75-3=72" ]
Current State: 72:[89, 92, 13, 88], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [13, 88, 3] Generated Node #2: [13, 88, 3] from Operation: 92-89=3 Current State: 72:[13, 88, 3], Operations: ['92-89=3'] Exploring Operation: 88-13=75, Resulting Numbers: [3, 75] Generated Node #3: [3, 75] from Operation: 88-13=75 Current State: 72:[3, 75], Operations: ['92-89=3', '88-13=75'] Exploring Operation: 75-3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 87, 82, 29, 59 ]
83
[ "87-82=5", "29+59=88", "88-5=83" ]
Current State: 83:[87, 82, 29, 59], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [29, 59, 5] Generated Node #2: [29, 59, 5] from Operation: 87-82=5 Current State: 83:[29, 59, 5], Operations: ['87-82=5'] Exploring Operation: 29+59=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 29+59=88 Current State: 83:[5, 88], Operations: ['87-82=5', '29+59=88'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 54, 4, 42, 22 ]
59
[ "42-22=20", "20/4=5", "54+5=59" ]
Current State: 59:[54, 4, 42, 22], Operations: [] Exploring Operation: 42-22=20, Resulting Numbers: [54, 4, 20] Generated Node #2: [54, 4, 20] from Operation: 42-22=20 Current State: 59:[54, 4, 20], Operations: ['42-22=20'] Exploring Operation: 20/4=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 20/4=5 Current State: 59:[54, 5], Operations: ['42-22=20', '20/4=5'] Exploring Operation: 54+5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 28, 51, 85, 2 ]
18
[ "28+2=30", "51*30=1530", "1530/85=18" ]
Current State: 18:[28, 51, 85, 2], Operations: [] Exploring Operation: 28+2=30, Resulting Numbers: [51, 85, 30] Generated Node #2: [51, 85, 30] from Operation: 28+2=30 Current State: 18:[51, 85, 30], Operations: ['28+2=30'] Exploring Operation: 51*30=1530, Resulting Numbers: [85, 1530] Generated Node #3: [85, 1530] from Operation: 51*30=1530 Current State: 18:[85, 1530], Operations: ['28+2=30', '51*30=1530'] Exploring Operation: 1530/85=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 87, 84, 18, 1 ]
14
[ "87-84=3", "18-1=17", "17-3=14" ]
Current State: 14:[87, 84, 18, 1], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [18, 1, 3] Generated Node #2: [18, 1, 3] from Operation: 87-84=3 Current State: 14:[18, 1, 3], Operations: ['87-84=3'] Exploring Operation: 18-1=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 18-1=17 Current State: 14:[3, 17], Operations: ['87-84=3', '18-1=17'] Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 20, 49, 80, 74 ]
75
[ "20+49=69", "80-74=6", "69+6=75" ]
Current State: 75:[20, 49, 80, 74], Operations: [] Exploring Operation: 20+49=69, Resulting Numbers: [80, 74, 69] Generated Node #2: [80, 74, 69] from Operation: 20+49=69 Current State: 75:[80, 74, 69], Operations: ['20+49=69'] Exploring Operation: 80-74=6, Resulting Numbers: [69, 6] Generated Node #3: [69, 6] from Operation: 80-74=6 Current State: 75:[69, 6], Operations: ['20+49=69', '80-74=6'] Exploring Operation: 69+6=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 11, 78, 84, 43 ]
48
[ "11+78=89", "84-43=41", "89-41=48" ]
Current State: 48:[11, 78, 84, 43], Operations: [] Exploring Operation: 11+78=89, Resulting Numbers: [84, 43, 89] Generated Node #2: [84, 43, 89] from Operation: 11+78=89 Current State: 48:[84, 43, 89], Operations: ['11+78=89'] Exploring Operation: 84-43=41, Resulting Numbers: [89, 41] Generated Node #3: [89, 41] from Operation: 84-43=41 Current State: 48:[89, 41], Operations: ['11+78=89', '84-43=41'] Exploring Operation: 89-41=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 12, 1, 2, 15 ]
84
[ "12/2=6", "15-1=14", "6*14=84" ]
Current State: 84:[12, 1, 2, 15], Operations: [] Exploring Operation: 12/2=6, Resulting Numbers: [1, 15, 6] Generated Node #2: [1, 15, 6] from Operation: 12/2=6 Current State: 84:[1, 15, 6], Operations: ['12/2=6'] Exploring Operation: 15-1=14, Resulting Numbers: [6, 14] Generated Node #3: [6, 14] from Operation: 15-1=14 Current State: 84:[6, 14], Operations: ['12/2=6', '15-1=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 49, 82, 76, 68 ]
41
[ "82-49=33", "76-68=8", "33+8=41" ]
Current State: 41:[49, 82, 76, 68], Operations: [] Exploring Operation: 82-49=33, Resulting Numbers: [76, 68, 33] Generated Node #2: [76, 68, 33] from Operation: 82-49=33 Current State: 41:[76, 68, 33], Operations: ['82-49=33'] Exploring Operation: 76-68=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 76-68=8 Current State: 41:[33, 8], Operations: ['82-49=33', '76-68=8'] Exploring Operation: 33+8=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 69, 17, 66, 93 ]
73
[ "69+17=86", "66+93=159", "159-86=73" ]
Current State: 73:[69, 17, 66, 93], Operations: [] Exploring Operation: 69+17=86, Resulting Numbers: [66, 93, 86] Generated Node #2: [66, 93, 86] from Operation: 69+17=86 Current State: 73:[66, 93, 86], Operations: ['69+17=86'] Exploring Operation: 66+93=159, Resulting Numbers: [86, 159] Generated Node #3: [86, 159] from Operation: 66+93=159 Current State: 73:[86, 159], Operations: ['69+17=86', '66+93=159'] Exploring Operation: 159-86=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 34, 97, 95, 46 ]
14
[ "97-34=63", "95-46=49", "63-49=14" ]
Current State: 14:[34, 97, 95, 46], Operations: [] Exploring Operation: 97-34=63, Resulting Numbers: [95, 46, 63] Generated Node #2: [95, 46, 63] from Operation: 97-34=63 Current State: 14:[95, 46, 63], Operations: ['97-34=63'] Exploring Operation: 95-46=49, Resulting Numbers: [63, 49] Generated Node #3: [63, 49] from Operation: 95-46=49 Current State: 14:[63, 49], Operations: ['97-34=63', '95-46=49'] Exploring Operation: 63-49=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 49, 11, 67, 18 ]
12
[ "67-49=18", "18/18=1", "11+1=12" ]
Current State: 12:[49, 11, 67, 18], Operations: [] Exploring Operation: 67-49=18, Resulting Numbers: [11, 18, 18] Generated Node #2: [11, 18, 18] from Operation: 67-49=18 Current State: 12:[11, 18, 18], Operations: ['67-49=18'] Exploring Operation: 18/18=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 18/18=1 Current State: 12:[11, 1], Operations: ['67-49=18', '18/18=1'] Exploring Operation: 11+1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 19, 70, 74, 54 ]
72
[ "54-19=35", "70/35=2", "74-2=72" ]
Current State: 72:[19, 70, 74, 54], Operations: [] Exploring Operation: 54-19=35, Resulting Numbers: [70, 74, 35] Generated Node #2: [70, 74, 35] from Operation: 54-19=35 Current State: 72:[70, 74, 35], Operations: ['54-19=35'] Exploring Operation: 70/35=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 70/35=2 Current State: 72:[74, 2], Operations: ['54-19=35', '70/35=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 29, 81, 69, 8 ]
76
[ "69-29=40", "40/8=5", "81-5=76" ]
Current State: 76:[29, 81, 69, 8], Operations: [] Exploring Operation: 69-29=40, Resulting Numbers: [81, 8, 40] Generated Node #2: [81, 8, 40] from Operation: 69-29=40 Current State: 76:[81, 8, 40], Operations: ['69-29=40'] Exploring Operation: 40/8=5, Resulting Numbers: [81, 5] Generated Node #3: [81, 5] from Operation: 40/8=5 Current State: 76:[81, 5], Operations: ['69-29=40', '40/8=5'] Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 31, 16, 4, 91 ]
80
[ "31-16=15", "4+91=95", "95-15=80" ]
Current State: 80:[31, 16, 4, 91], Operations: [] Exploring Operation: 31-16=15, Resulting Numbers: [4, 91, 15] Generated Node #2: [4, 91, 15] from Operation: 31-16=15 Current State: 80:[4, 91, 15], Operations: ['31-16=15'] Exploring Operation: 4+91=95, Resulting Numbers: [15, 95] Generated Node #3: [15, 95] from Operation: 4+91=95 Current State: 80:[15, 95], Operations: ['31-16=15', '4+91=95'] Exploring Operation: 95-15=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 11, 55, 20, 71 ]
52
[ "71-11=60", "60/20=3", "55-3=52" ]
Current State: 52:[11, 55, 20, 71], Operations: [] Exploring Operation: 71-11=60, Resulting Numbers: [55, 20, 60] Generated Node #2: [55, 20, 60] from Operation: 71-11=60 Current State: 52:[55, 20, 60], Operations: ['71-11=60'] Exploring Operation: 60/20=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 60/20=3 Current State: 52:[55, 3], Operations: ['71-11=60', '60/20=3'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 69, 8, 71, 73 ]
89
[ "71-69=2", "8*2=16", "73+16=89" ]
Current State: 89:[69, 8, 71, 73], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [8, 73, 2] Generated Node #2: [8, 73, 2] from Operation: 71-69=2 Current State: 89:[8, 73, 2], Operations: ['71-69=2'] Exploring Operation: 8*2=16, Resulting Numbers: [73, 16] Generated Node #3: [73, 16] from Operation: 8*2=16 Current State: 89:[73, 16], Operations: ['71-69=2', '8*2=16'] Exploring Operation: 73+16=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 8, 1, 70, 57 ]
96
[ "70-1=69", "69-57=12", "8*12=96" ]
Current State: 96:[8, 1, 70, 57], Operations: [] Exploring Operation: 70-1=69, Resulting Numbers: [8, 57, 69] Generated Node #2: [8, 57, 69] from Operation: 70-1=69 Current State: 96:[8, 57, 69], Operations: ['70-1=69'] Exploring Operation: 69-57=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 69-57=12 Current State: 96:[8, 12], Operations: ['70-1=69', '69-57=12'] Exploring Operation: 8*12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 31, 63, 9, 6 ]
96
[ "63-31=32", "9-6=3", "32*3=96" ]
Current State: 96:[31, 63, 9, 6], Operations: [] Exploring Operation: 63-31=32, Resulting Numbers: [9, 6, 32] Generated Node #2: [9, 6, 32] from Operation: 63-31=32 Current State: 96:[9, 6, 32], Operations: ['63-31=32'] Exploring Operation: 9-6=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 9-6=3 Current State: 96:[32, 3], Operations: ['63-31=32', '9-6=3'] Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 16, 49, 43, 59 ]
81
[ "16+49=65", "59-43=16", "65+16=81" ]
Current State: 81:[16, 49, 43, 59], Operations: [] Exploring Operation: 16+49=65, Resulting Numbers: [43, 59, 65] Generated Node #2: [43, 59, 65] from Operation: 16+49=65 Current State: 81:[43, 59, 65], Operations: ['16+49=65'] Exploring Operation: 59-43=16, Resulting Numbers: [65, 16] Generated Node #3: [65, 16] from Operation: 59-43=16 Current State: 81:[65, 16], Operations: ['16+49=65', '59-43=16'] Exploring Operation: 65+16=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 56, 32, 10, 24 ]
54
[ "56+32=88", "10+24=34", "88-34=54" ]
Current State: 54:[56, 32, 10, 24], Operations: [] Exploring Operation: 56+32=88, Resulting Numbers: [10, 24, 88] Generated Node #2: [10, 24, 88] from Operation: 56+32=88 Current State: 54:[10, 24, 88], Operations: ['56+32=88'] Exploring Operation: 10+24=34, Resulting Numbers: [88, 34] Generated Node #3: [88, 34] from Operation: 10+24=34 Current State: 54:[88, 34], Operations: ['56+32=88', '10+24=34'] Exploring Operation: 88-34=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 76, 50, 26, 9 ]
43
[ "76-50=26", "26-9=17", "26+17=43" ]
Current State: 43:[76, 50, 26, 9], Operations: [] Exploring Operation: 76-50=26, Resulting Numbers: [26, 9, 26] Generated Node #2: [26, 9, 26] from Operation: 76-50=26 Current State: 43:[26, 9, 26], Operations: ['76-50=26'] Exploring Operation: 26-9=17, Resulting Numbers: [17] 17,43 equal: Goal Reached Exploring Operation: 26+17=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 23, 73, 53, 93 ]
31
[ "73-23=50", "53-50=3", "93/3=31" ]
Current State: 31:[23, 73, 53, 93], Operations: [] Exploring Operation: 73-23=50, Resulting Numbers: [53, 93, 50] Generated Node #2: [53, 93, 50] from Operation: 73-23=50 Current State: 31:[53, 93, 50], Operations: ['73-23=50'] Exploring Operation: 53-50=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 53-50=3 Current State: 31:[93, 3], Operations: ['73-23=50', '53-50=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 16, 22, 24, 34 ]
66
[ "24-22=2", "16*2=32", "34+32=66" ]
Current State: 66:[16, 22, 24, 34], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [16, 34, 2] Generated Node #2: [16, 34, 2] from Operation: 24-22=2 Current State: 66:[16, 34, 2], Operations: ['24-22=2'] Exploring Operation: 16*2=32, Resulting Numbers: [34, 32] Generated Node #3: [34, 32] from Operation: 16*2=32 Current State: 66:[34, 32], Operations: ['24-22=2', '16*2=32'] Exploring Operation: 34+32=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 9, 54, 2, 62 ]
76
[ "54-9=45", "62/2=31", "45+31=76" ]
Current State: 76:[9, 54, 2, 62], Operations: [] Exploring Operation: 54-9=45, Resulting Numbers: [2, 62, 45] Generated Node #2: [2, 62, 45] from Operation: 54-9=45 Current State: 76:[2, 62, 45], Operations: ['54-9=45'] Exploring Operation: 62/2=31, Resulting Numbers: [45, 31] Generated Node #3: [45, 31] from Operation: 62/2=31 Current State: 76:[45, 31], Operations: ['54-9=45', '62/2=31'] Exploring Operation: 45+31=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 75, 74, 83, 1 ]
66
[ "75+74=149", "83*1=83", "149-83=66" ]
Current State: 66:[75, 74, 83, 1], Operations: [] Exploring Operation: 75+74=149, Resulting Numbers: [83, 1, 149] Generated Node #2: [83, 1, 149] from Operation: 75+74=149 Current State: 66:[83, 1, 149], Operations: ['75+74=149'] Exploring Operation: 83*1=83, Resulting Numbers: [149, 83] Generated Node #3: [149, 83] from Operation: 83*1=83 Current State: 66:[149, 83], Operations: ['75+74=149', '83*1=83'] Exploring Operation: 149-83=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 20, 9, 53, 88 ]
61
[ "20-9=11", "88/11=8", "53+8=61" ]
Current State: 61:[20, 9, 53, 88], Operations: [] Exploring Operation: 20-9=11, Resulting Numbers: [53, 88, 11] Generated Node #2: [53, 88, 11] from Operation: 20-9=11 Current State: 61:[53, 88, 11], Operations: ['20-9=11'] Exploring Operation: 88/11=8, Resulting Numbers: [53, 8] Generated Node #3: [53, 8] from Operation: 88/11=8 Current State: 61:[53, 8], Operations: ['20-9=11', '88/11=8'] Exploring Operation: 53+8=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 85, 4, 3, 92 ]
59
[ "85-3=82", "92/4=23", "82-23=59" ]
Current State: 59:[85, 4, 3, 92], Operations: [] Exploring Operation: 85-3=82, Resulting Numbers: [4, 92, 82] Generated Node #2: [4, 92, 82] from Operation: 85-3=82 Current State: 59:[4, 92, 82], Operations: ['85-3=82'] Exploring Operation: 92/4=23, Resulting Numbers: [82, 23] Generated Node #3: [82, 23] from Operation: 92/4=23 Current State: 59:[82, 23], Operations: ['85-3=82', '92/4=23'] Exploring Operation: 82-23=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 91, 14, 5 ]
77
[ "7+5=12", "14*12=168", "168-91=77" ]
Current State: 77:[7, 91, 14, 5], Operations: [] Exploring Operation: 7+5=12, Resulting Numbers: [91, 14, 12] Generated Node #2: [91, 14, 12] from Operation: 7+5=12 Current State: 77:[91, 14, 12], Operations: ['7+5=12'] Exploring Operation: 14*12=168, Resulting Numbers: [91, 168] Generated Node #3: [91, 168] from Operation: 14*12=168 Current State: 77:[91, 168], Operations: ['7+5=12', '14*12=168'] Exploring Operation: 168-91=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 76, 94, 7, 3 ]
13
[ "94-76=18", "18/3=6", "7+6=13" ]
Current State: 13:[76, 94, 7, 3], Operations: [] Exploring Operation: 94-76=18, Resulting Numbers: [7, 3, 18] Generated Node #2: [7, 3, 18] from Operation: 94-76=18 Current State: 13:[7, 3, 18], Operations: ['94-76=18'] Exploring Operation: 18/3=6, Resulting Numbers: [7, 6] Generated Node #3: [7, 6] from Operation: 18/3=6 Current State: 13:[7, 6], Operations: ['94-76=18', '18/3=6'] Exploring Operation: 7+6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 41, 88, 75, 69 ]
33
[ "41*69=2829", "75+2829=2904", "2904/88=33" ]
Current State: 33:[41, 88, 75, 69], Operations: [] Exploring Operation: 41*69=2829, Resulting Numbers: [88, 75, 2829] Generated Node #2: [88, 75, 2829] from Operation: 41*69=2829 Current State: 33:[88, 75, 2829], Operations: ['41*69=2829'] Exploring Operation: 75+2829=2904, Resulting Numbers: [88, 2904] Generated Node #3: [88, 2904] from Operation: 75+2829=2904 Current State: 33:[88, 2904], Operations: ['41*69=2829', '75+2829=2904'] Exploring Operation: 2904/88=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 49, 15, 21, 26 ]
59
[ "49+15=64", "26-21=5", "64-5=59" ]
Current State: 59:[49, 15, 21, 26], Operations: [] Exploring Operation: 49+15=64, Resulting Numbers: [21, 26, 64] Generated Node #2: [21, 26, 64] from Operation: 49+15=64 Current State: 59:[21, 26, 64], Operations: ['49+15=64'] Exploring Operation: 26-21=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 26-21=5 Current State: 59:[64, 5], Operations: ['49+15=64', '26-21=5'] Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 43, 69, 57, 37 ]
92
[ "43+69=112", "57-37=20", "112-20=92" ]
Current State: 92:[43, 69, 57, 37], Operations: [] Exploring Operation: 43+69=112, Resulting Numbers: [57, 37, 112] Generated Node #2: [57, 37, 112] from Operation: 43+69=112 Current State: 92:[57, 37, 112], Operations: ['43+69=112'] Exploring Operation: 57-37=20, Resulting Numbers: [112, 20] Generated Node #3: [112, 20] from Operation: 57-37=20 Current State: 92:[112, 20], Operations: ['43+69=112', '57-37=20'] Exploring Operation: 112-20=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 49, 81, 75, 45 ]
78
[ "49+81=130", "45*130=5850", "5850/75=78" ]
Current State: 78:[49, 81, 75, 45], Operations: [] Exploring Operation: 49+81=130, Resulting Numbers: [75, 45, 130] Generated Node #2: [75, 45, 130] from Operation: 49+81=130 Current State: 78:[75, 45, 130], Operations: ['49+81=130'] Exploring Operation: 45*130=5850, Resulting Numbers: [75, 5850] Generated Node #3: [75, 5850] from Operation: 45*130=5850 Current State: 78:[75, 5850], Operations: ['49+81=130', '45*130=5850'] Exploring Operation: 5850/75=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 1, 66, 42, 29 ]
53
[ "1*66=66", "42-29=13", "66-13=53" ]
Current State: 53:[1, 66, 42, 29], Operations: [] Exploring Operation: 1*66=66, Resulting Numbers: [42, 29, 66] Generated Node #2: [42, 29, 66] from Operation: 1*66=66 Current State: 53:[42, 29, 66], Operations: ['1*66=66'] Exploring Operation: 42-29=13, Resulting Numbers: [66, 13] Generated Node #3: [66, 13] from Operation: 42-29=13 Current State: 53:[66, 13], Operations: ['1*66=66', '42-29=13'] Exploring Operation: 66-13=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 80, 16, 24, 48 ]
62
[ "80-16=64", "48/24=2", "64-2=62" ]
Current State: 62:[80, 16, 24, 48], Operations: [] Exploring Operation: 80-16=64, Resulting Numbers: [24, 48, 64] Generated Node #2: [24, 48, 64] from Operation: 80-16=64 Current State: 62:[24, 48, 64], Operations: ['80-16=64'] Exploring Operation: 48/24=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 48/24=2 Current State: 62:[64, 2], Operations: ['80-16=64', '48/24=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 70, 26, 12, 20 ]
25
[ "26-12=14", "70/14=5", "20+5=25" ]
Current State: 25:[70, 26, 12, 20], Operations: [] Exploring Operation: 26-12=14, Resulting Numbers: [70, 20, 14] Generated Node #2: [70, 20, 14] from Operation: 26-12=14 Current State: 25:[70, 20, 14], Operations: ['26-12=14'] Exploring Operation: 70/14=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 70/14=5 Current State: 25:[20, 5], Operations: ['26-12=14', '70/14=5'] Exploring Operation: 20+5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 87, 98, 49, 2 ]
60
[ "87+49=136", "98*2=196", "196-136=60" ]
Current State: 60:[87, 98, 49, 2], Operations: [] Exploring Operation: 87+49=136, Resulting Numbers: [98, 2, 136] Generated Node #2: [98, 2, 136] from Operation: 87+49=136 Current State: 60:[98, 2, 136], Operations: ['87+49=136'] Exploring Operation: 98*2=196, Resulting Numbers: [136, 196] Generated Node #3: [136, 196] from Operation: 98*2=196 Current State: 60:[136, 196], Operations: ['87+49=136', '98*2=196'] Exploring Operation: 196-136=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 43, 3, 61, 37 ]
93
[ "61-43=18", "3*37=111", "111-18=93" ]
Current State: 93:[43, 3, 61, 37], Operations: [] Exploring Operation: 61-43=18, Resulting Numbers: [3, 37, 18] Generated Node #2: [3, 37, 18] from Operation: 61-43=18 Current State: 93:[3, 37, 18], Operations: ['61-43=18'] Exploring Operation: 3*37=111, Resulting Numbers: [18, 111] Generated Node #3: [18, 111] from Operation: 3*37=111 Current State: 93:[18, 111], Operations: ['61-43=18', '3*37=111'] Exploring Operation: 111-18=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 38, 71, 82 ]
93
[ "82-71=11", "5*11=55", "38+55=93" ]
Current State: 93:[5, 38, 71, 82], Operations: [] Exploring Operation: 82-71=11, Resulting Numbers: [5, 38, 11] Generated Node #2: [5, 38, 11] from Operation: 82-71=11 Current State: 93:[5, 38, 11], Operations: ['82-71=11'] Exploring Operation: 5*11=55, Resulting Numbers: [38, 55] Generated Node #3: [38, 55] from Operation: 5*11=55 Current State: 93:[38, 55], Operations: ['82-71=11', '5*11=55'] Exploring Operation: 38+55=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 61, 66, 40, 83 ]
43
[ "83-61=22", "66/22=3", "40+3=43" ]
Current State: 43:[61, 66, 40, 83], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [66, 40, 22] Generated Node #2: [66, 40, 22] from Operation: 83-61=22 Current State: 43:[66, 40, 22], Operations: ['83-61=22'] Exploring Operation: 66/22=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 66/22=3 Current State: 43:[40, 3], Operations: ['83-61=22', '66/22=3'] Exploring Operation: 40+3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 91, 71, 97, 28 ]
27
[ "91*28=2548", "71+2548=2619", "2619/97=27" ]
Current State: 27:[91, 71, 97, 28], Operations: [] Exploring Operation: 91*28=2548, Resulting Numbers: [71, 97, 2548] Generated Node #2: [71, 97, 2548] from Operation: 91*28=2548 Current State: 27:[71, 97, 2548], Operations: ['91*28=2548'] Exploring Operation: 71+2548=2619, Resulting Numbers: [97, 2619] Generated Node #3: [97, 2619] from Operation: 71+2548=2619 Current State: 27:[97, 2619], Operations: ['91*28=2548', '71+2548=2619'] Exploring Operation: 2619/97=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 45, 33, 69, 93 ]
92
[ "93-33=60", "69*60=4140", "4140/45=92" ]
Current State: 92:[45, 33, 69, 93], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [45, 69, 60] Generated Node #2: [45, 69, 60] from Operation: 93-33=60 Current State: 92:[45, 69, 60], Operations: ['93-33=60'] Exploring Operation: 69*60=4140, Resulting Numbers: [45, 4140] Generated Node #3: [45, 4140] from Operation: 69*60=4140 Current State: 92:[45, 4140], Operations: ['93-33=60', '69*60=4140'] Exploring Operation: 4140/45=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 5, 18, 1, 18 ]
42
[ "5+18=23", "1+18=19", "23+19=42" ]
Current State: 42:[5, 18, 1, 18], Operations: [] Exploring Operation: 5+18=23, Resulting Numbers: [1, 23] Generated Node #2: [1, 23] from Operation: 5+18=23 Current State: 42:[1, 23], Operations: ['5+18=23'] Exploring Operation: 1+18=19, Resulting Numbers: [23, 19] Generated Node #3: [23, 19] from Operation: 1+18=19 Current State: 42:[23, 19], Operations: ['5+18=23', '1+18=19'] Exploring Operation: 23+19=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 59, 13, 11, 10 ]
94
[ "59-10=49", "13*11=143", "143-49=94" ]
Current State: 94:[59, 13, 11, 10], Operations: [] Exploring Operation: 59-10=49, Resulting Numbers: [13, 11, 49] Generated Node #2: [13, 11, 49] from Operation: 59-10=49 Current State: 94:[13, 11, 49], Operations: ['59-10=49'] Exploring Operation: 13*11=143, Resulting Numbers: [49, 143] Generated Node #3: [49, 143] from Operation: 13*11=143 Current State: 94:[49, 143], Operations: ['59-10=49', '13*11=143'] Exploring Operation: 143-49=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 99, 8, 13, 99 ]
92
[ "99-8=91", "91/13=7", "99-7=92" ]
Current State: 92:[99, 8, 13, 99], Operations: [] Exploring Operation: 99-8=91, Resulting Numbers: [13, 91] Generated Node #2: [13, 91] from Operation: 99-8=91 Current State: 92:[13, 91], Operations: ['99-8=91'] Exploring Operation: 91/13=7, Resulting Numbers: [7] 7,92 equal: Goal Reached Exploring Operation: 99-7=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 52, 3, 69, 11 ]
31
[ "52-3=49", "69+11=80", "80-49=31" ]
Current State: 31:[52, 3, 69, 11], Operations: [] Exploring Operation: 52-3=49, Resulting Numbers: [69, 11, 49] Generated Node #2: [69, 11, 49] from Operation: 52-3=49 Current State: 31:[69, 11, 49], Operations: ['52-3=49'] Exploring Operation: 69+11=80, Resulting Numbers: [49, 80] Generated Node #3: [49, 80] from Operation: 69+11=80 Current State: 31:[49, 80], Operations: ['52-3=49', '69+11=80'] Exploring Operation: 80-49=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 62, 4, 10, 74 ]
81
[ "62*10=620", "620/4=155", "155-74=81" ]
Current State: 81:[62, 4, 10, 74], Operations: [] Exploring Operation: 62*10=620, Resulting Numbers: [4, 74, 620] Generated Node #2: [4, 74, 620] from Operation: 62*10=620 Current State: 81:[4, 74, 620], Operations: ['62*10=620'] Exploring Operation: 620/4=155, Resulting Numbers: [74, 155] Generated Node #3: [74, 155] from Operation: 620/4=155 Current State: 81:[74, 155], Operations: ['62*10=620', '620/4=155'] Exploring Operation: 155-74=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 22, 40, 93, 27 ]
84
[ "40-22=18", "93-27=66", "18+66=84" ]
Current State: 84:[22, 40, 93, 27], Operations: [] Exploring Operation: 40-22=18, Resulting Numbers: [93, 27, 18] Generated Node #2: [93, 27, 18] from Operation: 40-22=18 Current State: 84:[93, 27, 18], Operations: ['40-22=18'] Exploring Operation: 93-27=66, Resulting Numbers: [18, 66] Generated Node #3: [18, 66] from Operation: 93-27=66 Current State: 84:[18, 66], Operations: ['40-22=18', '93-27=66'] Exploring Operation: 18+66=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 39, 56, 39, 3 ]
56
[ "39-39=0", "3*0=0", "56+0=56" ]
Current State: 56:[39, 56, 39, 3], Operations: [] Exploring Operation: 39-39=0, Resulting Numbers: [56, 3, 0] Generated Node #2: [56, 3, 0] from Operation: 39-39=0 Current State: 56:[56, 3, 0], Operations: ['39-39=0'] Exploring Operation: 3*0=0, Resulting Numbers: [56, 0] Generated Node #3: [56, 0] from Operation: 3*0=0 Current State: 56:[56, 0], Operations: ['39-39=0', '3*0=0'] Exploring Operation: 56+0=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 98, 26, 99, 49 ]
76
[ "98-26=72", "99+49=148", "148-72=76" ]
Current State: 76:[98, 26, 99, 49], Operations: [] Exploring Operation: 98-26=72, Resulting Numbers: [99, 49, 72] Generated Node #2: [99, 49, 72] from Operation: 98-26=72 Current State: 76:[99, 49, 72], Operations: ['98-26=72'] Exploring Operation: 99+49=148, Resulting Numbers: [72, 148] Generated Node #3: [72, 148] from Operation: 99+49=148 Current State: 76:[72, 148], Operations: ['98-26=72', '99+49=148'] Exploring Operation: 148-72=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 22, 72, 91, 88 ]
73
[ "22*72=1584", "1584/88=18", "91-18=73" ]
Current State: 73:[22, 72, 91, 88], Operations: [] Exploring Operation: 22*72=1584, Resulting Numbers: [91, 88, 1584] Generated Node #2: [91, 88, 1584] from Operation: 22*72=1584 Current State: 73:[91, 88, 1584], Operations: ['22*72=1584'] Exploring Operation: 1584/88=18, Resulting Numbers: [91, 18] Generated Node #3: [91, 18] from Operation: 1584/88=18 Current State: 73:[91, 18], Operations: ['22*72=1584', '1584/88=18'] Exploring Operation: 91-18=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 25, 14, 87, 3 ]
18
[ "25-14=11", "87/3=29", "29-11=18" ]
Current State: 18:[25, 14, 87, 3], Operations: [] Exploring Operation: 25-14=11, Resulting Numbers: [87, 3, 11] Generated Node #2: [87, 3, 11] from Operation: 25-14=11 Current State: 18:[87, 3, 11], Operations: ['25-14=11'] Exploring Operation: 87/3=29, Resulting Numbers: [11, 29] Generated Node #3: [11, 29] from Operation: 87/3=29 Current State: 18:[11, 29], Operations: ['25-14=11', '87/3=29'] Exploring Operation: 29-11=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 21, 7, 22, 70 ]
62
[ "21-7=14", "70-22=48", "14+48=62" ]
Current State: 62:[21, 7, 22, 70], Operations: [] Exploring Operation: 21-7=14, Resulting Numbers: [22, 70, 14] Generated Node #2: [22, 70, 14] from Operation: 21-7=14 Current State: 62:[22, 70, 14], Operations: ['21-7=14'] Exploring Operation: 70-22=48, Resulting Numbers: [14, 48] Generated Node #3: [14, 48] from Operation: 70-22=48 Current State: 62:[14, 48], Operations: ['21-7=14', '70-22=48'] Exploring Operation: 14+48=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 80, 38, 35, 33 ]
69
[ "38-35=3", "33/3=11", "80-11=69" ]
Current State: 69:[80, 38, 35, 33], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [80, 33, 3] Generated Node #2: [80, 33, 3] from Operation: 38-35=3 Current State: 69:[80, 33, 3], Operations: ['38-35=3'] Exploring Operation: 33/3=11, Resulting Numbers: [80, 11] Generated Node #3: [80, 11] from Operation: 33/3=11 Current State: 69:[80, 11], Operations: ['38-35=3', '33/3=11'] Exploring Operation: 80-11=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 66, 87, 87, 94 ]
66
[ "87-87=0", "94*0=0", "66+0=66" ]
Current State: 66:[66, 87, 87, 94], Operations: [] Exploring Operation: 87-87=0, Resulting Numbers: [66, 94, 0] Generated Node #2: [66, 94, 0] from Operation: 87-87=0 Current State: 66:[66, 94, 0], Operations: ['87-87=0'] Exploring Operation: 94*0=0, Resulting Numbers: [66, 0] Generated Node #3: [66, 0] from Operation: 94*0=0 Current State: 66:[66, 0], Operations: ['87-87=0', '94*0=0'] Exploring Operation: 66+0=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4