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
[ 63, 94, 32, 17 ]
15
[ "94+32=126", "126/63=2", "17-2=15" ]
Current State: 15:[63, 94, 32, 17], Operations: [] Exploring Operation: 94+32=126, Resulting Numbers: [63, 17, 126] Generated Node #2: [63, 17, 126] from Operation: 94+32=126 Current State: 15:[63, 17, 126], Operations: ['94+32=126'] Exploring Operation: 126/63=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 126/63=2 Current State: 15:[17, 2], Operations: ['94+32=126', '126/63=2'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 86, 13, 77, 70 ]
80
[ "86-13=73", "77-70=7", "73+7=80" ]
Current State: 80:[86, 13, 77, 70], Operations: [] Exploring Operation: 86-13=73, Resulting Numbers: [77, 70, 73] Generated Node #2: [77, 70, 73] from Operation: 86-13=73 Current State: 80:[77, 70, 73], Operations: ['86-13=73'] Exploring Operation: 77-70=7, Resulting Numbers: [73, 7] Generated Node #3: [73, 7] from Operation: 77-70=7 Current State: 80:[73, 7], Operations: ['86-13=73', '77-70=7'] Exploring Operation: 73+7=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 74, 38, 15, 4 ]
43
[ "74+38=112", "112/4=28", "15+28=43" ]
Current State: 43:[74, 38, 15, 4], Operations: [] Exploring Operation: 74+38=112, Resulting Numbers: [15, 4, 112] Generated Node #2: [15, 4, 112] from Operation: 74+38=112 Current State: 43:[15, 4, 112], Operations: ['74+38=112'] Exploring Operation: 112/4=28, Resulting Numbers: [15, 28] Generated Node #3: [15, 28] from Operation: 112/4=28 Current State: 43:[15, 28], Operations: ['74+38=112', '112/4=28'] Exploring Operation: 15+28=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 54, 10, 56 ]
27
[ "44+10=54", "56-54=2", "54/2=27" ]
Current State: 27:[44, 54, 10, 56], Operations: [] Exploring Operation: 44+10=54, Resulting Numbers: [54, 56, 54] Generated Node #2: [54, 56, 54] from Operation: 44+10=54 Current State: 27:[54, 56, 54], Operations: ['44+10=54'] Exploring Operation: 56-54=2, Resulting Numbers: [2] 2,27 equal: Goal Reached Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 48, 98, 89, 48 ]
87
[ "98-48=50", "89+48=137", "137-50=87" ]
Current State: 87:[48, 98, 89, 48], Operations: [] Exploring Operation: 98-48=50, Resulting Numbers: [89, 50] Generated Node #2: [89, 50] from Operation: 98-48=50 Current State: 87:[89, 50], Operations: ['98-48=50'] Exploring Operation: 89+48=137, Resulting Numbers: [50, 137] Generated Node #3: [50, 137] from Operation: 89+48=137 Current State: 87:[50, 137], Operations: ['98-48=50', '89+48=137'] Exploring Operation: 137-50=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 68, 4, 32, 25 ]
51
[ "68-25=43", "32/4=8", "43+8=51" ]
Current State: 51:[68, 4, 32, 25], Operations: [] Exploring Operation: 68-25=43, Resulting Numbers: [4, 32, 43] Generated Node #2: [4, 32, 43] from Operation: 68-25=43 Current State: 51:[4, 32, 43], Operations: ['68-25=43'] Exploring Operation: 32/4=8, Resulting Numbers: [43, 8] Generated Node #3: [43, 8] from Operation: 32/4=8 Current State: 51:[43, 8], Operations: ['68-25=43', '32/4=8'] Exploring Operation: 43+8=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 62, 59, 30, 2 ]
29
[ "62-59=3", "30+2=32", "32-3=29" ]
Current State: 29:[62, 59, 30, 2], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [30, 2, 3] Generated Node #2: [30, 2, 3] from Operation: 62-59=3 Current State: 29:[30, 2, 3], Operations: ['62-59=3'] Exploring Operation: 30+2=32, Resulting Numbers: [3, 32] Generated Node #3: [3, 32] from Operation: 30+2=32 Current State: 29:[3, 32], Operations: ['62-59=3', '30+2=32'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 31, 38, 28, 1 ]
97
[ "31+38=69", "28*1=28", "69+28=97" ]
Current State: 97:[31, 38, 28, 1], Operations: [] Exploring Operation: 31+38=69, Resulting Numbers: [28, 1, 69] Generated Node #2: [28, 1, 69] from Operation: 31+38=69 Current State: 97:[28, 1, 69], Operations: ['31+38=69'] Exploring Operation: 28*1=28, Resulting Numbers: [69, 28] Generated Node #3: [69, 28] from Operation: 28*1=28 Current State: 97:[69, 28], Operations: ['31+38=69', '28*1=28'] Exploring Operation: 69+28=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 65, 40, 25, 15 ]
61
[ "25-15=10", "40/10=4", "65-4=61" ]
Current State: 61:[65, 40, 25, 15], Operations: [] Exploring Operation: 25-15=10, Resulting Numbers: [65, 40, 10] Generated Node #2: [65, 40, 10] from Operation: 25-15=10 Current State: 61:[65, 40, 10], Operations: ['25-15=10'] Exploring Operation: 40/10=4, Resulting Numbers: [65, 4] Generated Node #3: [65, 4] from Operation: 40/10=4 Current State: 61:[65, 4], Operations: ['25-15=10', '40/10=4'] Exploring Operation: 65-4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 79, 95, 63, 48 ]
92
[ "79-63=16", "48/16=3", "95-3=92" ]
Current State: 92:[79, 95, 63, 48], Operations: [] Exploring Operation: 79-63=16, Resulting Numbers: [95, 48, 16] Generated Node #2: [95, 48, 16] from Operation: 79-63=16 Current State: 92:[95, 48, 16], Operations: ['79-63=16'] Exploring Operation: 48/16=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 48/16=3 Current State: 92:[95, 3], Operations: ['79-63=16', '48/16=3'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 46, 67, 65, 2 ]
17
[ "46+67=113", "65*2=130", "130-113=17" ]
Current State: 17:[46, 67, 65, 2], Operations: [] Exploring Operation: 46+67=113, Resulting Numbers: [65, 2, 113] Generated Node #2: [65, 2, 113] from Operation: 46+67=113 Current State: 17:[65, 2, 113], Operations: ['46+67=113'] Exploring Operation: 65*2=130, Resulting Numbers: [113, 130] Generated Node #3: [113, 130] from Operation: 65*2=130 Current State: 17:[113, 130], Operations: ['46+67=113', '65*2=130'] Exploring Operation: 130-113=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 15, 60, 61, 76 ]
59
[ "15+61=76", "76/76=1", "60-1=59" ]
Current State: 59:[15, 60, 61, 76], Operations: [] Exploring Operation: 15+61=76, Resulting Numbers: [60, 76, 76] Generated Node #2: [60, 76, 76] from Operation: 15+61=76 Current State: 59:[60, 76, 76], Operations: ['15+61=76'] Exploring Operation: 76/76=1, Resulting Numbers: [60, 1] Generated Node #3: [60, 1] from Operation: 76/76=1 Current State: 59:[60, 1], Operations: ['15+61=76', '76/76=1'] Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 10, 37, 39, 40 ]
80
[ "40/10=4", "37+39=76", "4+76=80" ]
Current State: 80:[10, 37, 39, 40], Operations: [] Exploring Operation: 40/10=4, Resulting Numbers: [37, 39, 4] Generated Node #2: [37, 39, 4] from Operation: 40/10=4 Current State: 80:[37, 39, 4], Operations: ['40/10=4'] Exploring Operation: 37+39=76, Resulting Numbers: [4, 76] Generated Node #3: [4, 76] from Operation: 37+39=76 Current State: 80:[4, 76], Operations: ['40/10=4', '37+39=76'] Exploring Operation: 4+76=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 65, 98, 48, 96 ]
41
[ "98-96=2", "48/2=24", "65-24=41" ]
Current State: 41:[65, 98, 48, 96], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [65, 48, 2] Generated Node #2: [65, 48, 2] from Operation: 98-96=2 Current State: 41:[65, 48, 2], Operations: ['98-96=2'] Exploring Operation: 48/2=24, Resulting Numbers: [65, 24] Generated Node #3: [65, 24] from Operation: 48/2=24 Current State: 41:[65, 24], Operations: ['98-96=2', '48/2=24'] Exploring Operation: 65-24=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 99, 77, 10, 45 ]
33
[ "99-77=22", "10+45=55", "55-22=33" ]
Current State: 33:[99, 77, 10, 45], Operations: [] Exploring Operation: 99-77=22, Resulting Numbers: [10, 45, 22] Generated Node #2: [10, 45, 22] from Operation: 99-77=22 Current State: 33:[10, 45, 22], Operations: ['99-77=22'] Exploring Operation: 10+45=55, Resulting Numbers: [22, 55] Generated Node #3: [22, 55] from Operation: 10+45=55 Current State: 33:[22, 55], Operations: ['99-77=22', '10+45=55'] Exploring Operation: 55-22=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 73, 2, 40, 8 ]
74
[ "73-40=33", "2*33=66", "8+66=74" ]
Current State: 74:[73, 2, 40, 8], Operations: [] Exploring Operation: 73-40=33, Resulting Numbers: [2, 8, 33] Generated Node #2: [2, 8, 33] from Operation: 73-40=33 Current State: 74:[2, 8, 33], Operations: ['73-40=33'] Exploring Operation: 2*33=66, Resulting Numbers: [8, 66] Generated Node #3: [8, 66] from Operation: 2*33=66 Current State: 74:[8, 66], Operations: ['73-40=33', '2*33=66'] Exploring Operation: 8+66=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 85, 53, 28, 39 ]
83
[ "53-39=14", "28/14=2", "85-2=83" ]
Current State: 83:[85, 53, 28, 39], Operations: [] Exploring Operation: 53-39=14, Resulting Numbers: [85, 28, 14] Generated Node #2: [85, 28, 14] from Operation: 53-39=14 Current State: 83:[85, 28, 14], Operations: ['53-39=14'] Exploring Operation: 28/14=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 28/14=2 Current State: 83:[85, 2], Operations: ['53-39=14', '28/14=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 28, 48, 28, 25 ]
36
[ "28-25=3", "28*3=84", "84-48=36" ]
Current State: 36:[28, 48, 28, 25], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [48, 3] Generated Node #2: [48, 3] from Operation: 28-25=3 Current State: 36:[48, 3], Operations: ['28-25=3'] Exploring Operation: 28*3=84, Resulting Numbers: [48, 84] Generated Node #3: [48, 84] from Operation: 28*3=84 Current State: 36:[48, 84], Operations: ['28-25=3', '28*3=84'] Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 6, 68, 94, 33 ]
60
[ "68+94=162", "162/6=27", "33+27=60" ]
Current State: 60:[6, 68, 94, 33], Operations: [] Exploring Operation: 68+94=162, Resulting Numbers: [6, 33, 162] Generated Node #2: [6, 33, 162] from Operation: 68+94=162 Current State: 60:[6, 33, 162], Operations: ['68+94=162'] Exploring Operation: 162/6=27, Resulting Numbers: [33, 27] Generated Node #3: [33, 27] from Operation: 162/6=27 Current State: 60:[33, 27], Operations: ['68+94=162', '162/6=27'] Exploring Operation: 33+27=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 96, 66, 17, 48 ]
81
[ "96/48=2", "66+17=83", "83-2=81" ]
Current State: 81:[96, 66, 17, 48], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [66, 17, 2] Generated Node #2: [66, 17, 2] from Operation: 96/48=2 Current State: 81:[66, 17, 2], Operations: ['96/48=2'] Exploring Operation: 66+17=83, Resulting Numbers: [2, 83] Generated Node #3: [2, 83] from Operation: 66+17=83 Current State: 81:[2, 83], Operations: ['96/48=2', '66+17=83'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 29, 85, 10, 20 ]
84
[ "29+85=114", "10+20=30", "114-30=84" ]
Current State: 84:[29, 85, 10, 20], Operations: [] Exploring Operation: 29+85=114, Resulting Numbers: [10, 20, 114] Generated Node #2: [10, 20, 114] from Operation: 29+85=114 Current State: 84:[10, 20, 114], Operations: ['29+85=114'] Exploring Operation: 10+20=30, Resulting Numbers: [114, 30] Generated Node #3: [114, 30] from Operation: 10+20=30 Current State: 84:[114, 30], Operations: ['29+85=114', '10+20=30'] Exploring Operation: 114-30=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 31, 49, 44, 61 ]
58
[ "49+44=93", "93/31=3", "61-3=58" ]
Current State: 58:[31, 49, 44, 61], Operations: [] Exploring Operation: 49+44=93, Resulting Numbers: [31, 61, 93] Generated Node #2: [31, 61, 93] from Operation: 49+44=93 Current State: 58:[31, 61, 93], Operations: ['49+44=93'] Exploring Operation: 93/31=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 93/31=3 Current State: 58:[61, 3], Operations: ['49+44=93', '93/31=3'] Exploring Operation: 61-3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 33, 43, 24, 53 ]
29
[ "43+53=96", "96/24=4", "33-4=29" ]
Current State: 29:[33, 43, 24, 53], Operations: [] Exploring Operation: 43+53=96, Resulting Numbers: [33, 24, 96] Generated Node #2: [33, 24, 96] from Operation: 43+53=96 Current State: 29:[33, 24, 96], Operations: ['43+53=96'] Exploring Operation: 96/24=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 96/24=4 Current State: 29:[33, 4], Operations: ['43+53=96', '96/24=4'] Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 81, 35, 3, 94 ]
74
[ "94-81=13", "3*13=39", "35+39=74" ]
Current State: 74:[81, 35, 3, 94], Operations: [] Exploring Operation: 94-81=13, Resulting Numbers: [35, 3, 13] Generated Node #2: [35, 3, 13] from Operation: 94-81=13 Current State: 74:[35, 3, 13], Operations: ['94-81=13'] Exploring Operation: 3*13=39, Resulting Numbers: [35, 39] Generated Node #3: [35, 39] from Operation: 3*13=39 Current State: 74:[35, 39], Operations: ['94-81=13', '3*13=39'] Exploring Operation: 35+39=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 53, 3, 2, 54 ]
56
[ "53*2=106", "3*54=162", "162-106=56" ]
Current State: 56:[53, 3, 2, 54], Operations: [] Exploring Operation: 53*2=106, Resulting Numbers: [3, 54, 106] Generated Node #2: [3, 54, 106] from Operation: 53*2=106 Current State: 56:[3, 54, 106], Operations: ['53*2=106'] Exploring Operation: 3*54=162, Resulting Numbers: [106, 162] Generated Node #3: [106, 162] from Operation: 3*54=162 Current State: 56:[106, 162], Operations: ['53*2=106', '3*54=162'] Exploring Operation: 162-106=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 77, 60, 5, 15 ]
76
[ "77-5=72", "60/15=4", "72+4=76" ]
Current State: 76:[77, 60, 5, 15], Operations: [] Exploring Operation: 77-5=72, Resulting Numbers: [60, 15, 72] Generated Node #2: [60, 15, 72] from Operation: 77-5=72 Current State: 76:[60, 15, 72], Operations: ['77-5=72'] Exploring Operation: 60/15=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 60/15=4 Current State: 76:[72, 4], Operations: ['77-5=72', '60/15=4'] Exploring Operation: 72+4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 18, 74, 38, 42 ]
14
[ "74-18=56", "42-38=4", "56/4=14" ]
Current State: 14:[18, 74, 38, 42], Operations: [] Exploring Operation: 74-18=56, Resulting Numbers: [38, 42, 56] Generated Node #2: [38, 42, 56] from Operation: 74-18=56 Current State: 14:[38, 42, 56], Operations: ['74-18=56'] Exploring Operation: 42-38=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 42-38=4 Current State: 14:[56, 4], Operations: ['74-18=56', '42-38=4'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 75, 76, 98, 18 ]
13
[ "75*18=1350", "1350-76=1274", "1274/98=13" ]
Current State: 13:[75, 76, 98, 18], Operations: [] Exploring Operation: 75*18=1350, Resulting Numbers: [76, 98, 1350] Generated Node #2: [76, 98, 1350] from Operation: 75*18=1350 Current State: 13:[76, 98, 1350], Operations: ['75*18=1350'] Exploring Operation: 1350-76=1274, Resulting Numbers: [98, 1274] Generated Node #3: [98, 1274] from Operation: 1350-76=1274 Current State: 13:[98, 1274], Operations: ['75*18=1350', '1350-76=1274'] Exploring Operation: 1274/98=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 10, 60, 3, 79 ]
71
[ "60-10=50", "3*50=150", "150-79=71" ]
Current State: 71:[10, 60, 3, 79], Operations: [] Exploring Operation: 60-10=50, Resulting Numbers: [3, 79, 50] Generated Node #2: [3, 79, 50] from Operation: 60-10=50 Current State: 71:[3, 79, 50], Operations: ['60-10=50'] Exploring Operation: 3*50=150, Resulting Numbers: [79, 150] Generated Node #3: [79, 150] from Operation: 3*50=150 Current State: 71:[79, 150], Operations: ['60-10=50', '3*50=150'] Exploring Operation: 150-79=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 70, 5, 28, 33 ]
95
[ "5+33=38", "70*38=2660", "2660/28=95" ]
Current State: 95:[70, 5, 28, 33], Operations: [] Exploring Operation: 5+33=38, Resulting Numbers: [70, 28, 38] Generated Node #2: [70, 28, 38] from Operation: 5+33=38 Current State: 95:[70, 28, 38], Operations: ['5+33=38'] Exploring Operation: 70*38=2660, Resulting Numbers: [28, 2660] Generated Node #3: [28, 2660] from Operation: 70*38=2660 Current State: 95:[28, 2660], Operations: ['5+33=38', '70*38=2660'] Exploring Operation: 2660/28=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 96, 18, 34, 4 ]
76
[ "96+18=114", "34+4=38", "114-38=76" ]
Current State: 76:[96, 18, 34, 4], Operations: [] Exploring Operation: 96+18=114, Resulting Numbers: [34, 4, 114] Generated Node #2: [34, 4, 114] from Operation: 96+18=114 Current State: 76:[34, 4, 114], Operations: ['96+18=114'] Exploring Operation: 34+4=38, Resulting Numbers: [114, 38] Generated Node #3: [114, 38] from Operation: 34+4=38 Current State: 76:[114, 38], Operations: ['96+18=114', '34+4=38'] Exploring Operation: 114-38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 41, 78, 31, 8 ]
80
[ "41+78=119", "31+8=39", "119-39=80" ]
Current State: 80:[41, 78, 31, 8], Operations: [] Exploring Operation: 41+78=119, Resulting Numbers: [31, 8, 119] Generated Node #2: [31, 8, 119] from Operation: 41+78=119 Current State: 80:[31, 8, 119], Operations: ['41+78=119'] Exploring Operation: 31+8=39, Resulting Numbers: [119, 39] Generated Node #3: [119, 39] from Operation: 31+8=39 Current State: 80:[119, 39], Operations: ['41+78=119', '31+8=39'] Exploring Operation: 119-39=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 8, 9, 34, 6 ]
39
[ "9-8=1", "34+6=40", "40-1=39" ]
Current State: 39:[8, 9, 34, 6], Operations: [] Exploring Operation: 9-8=1, Resulting Numbers: [34, 6, 1] Generated Node #2: [34, 6, 1] from Operation: 9-8=1 Current State: 39:[34, 6, 1], Operations: ['9-8=1'] Exploring Operation: 34+6=40, Resulting Numbers: [1, 40] Generated Node #3: [1, 40] from Operation: 34+6=40 Current State: 39:[1, 40], Operations: ['9-8=1', '34+6=40'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 64, 55, 47, 76 ]
68
[ "55-47=8", "64/8=8", "76-8=68" ]
Current State: 68:[64, 55, 47, 76], Operations: [] Exploring Operation: 55-47=8, Resulting Numbers: [64, 76, 8] Generated Node #2: [64, 76, 8] from Operation: 55-47=8 Current State: 68:[64, 76, 8], Operations: ['55-47=8'] Exploring Operation: 64/8=8, Resulting Numbers: [76, 8] Generated Node #3: [76, 8] from Operation: 64/8=8 Current State: 68:[76, 8], Operations: ['55-47=8', '64/8=8'] Exploring Operation: 76-8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 19, 12, 13, 54 ]
48
[ "19-12=7", "54-13=41", "7+41=48" ]
Current State: 48:[19, 12, 13, 54], Operations: [] Exploring Operation: 19-12=7, Resulting Numbers: [13, 54, 7] Generated Node #2: [13, 54, 7] from Operation: 19-12=7 Current State: 48:[13, 54, 7], Operations: ['19-12=7'] Exploring Operation: 54-13=41, Resulting Numbers: [7, 41] Generated Node #3: [7, 41] from Operation: 54-13=41 Current State: 48:[7, 41], Operations: ['19-12=7', '54-13=41'] Exploring Operation: 7+41=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 38, 55, 4, 3 ]
56
[ "55-38=17", "17-3=14", "4*14=56" ]
Current State: 56:[38, 55, 4, 3], Operations: [] Exploring Operation: 55-38=17, Resulting Numbers: [4, 3, 17] Generated Node #2: [4, 3, 17] from Operation: 55-38=17 Current State: 56:[4, 3, 17], Operations: ['55-38=17'] Exploring Operation: 17-3=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 17-3=14 Current State: 56:[4, 14], Operations: ['55-38=17', '17-3=14'] Exploring Operation: 4*14=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 91, 99, 75 ]
91
[ "99-91=8", "2*8=16", "75+16=91" ]
Current State: 91:[2, 91, 99, 75], Operations: [] Exploring Operation: 99-91=8, Resulting Numbers: [2, 75, 8] Generated Node #2: [2, 75, 8] from Operation: 99-91=8 Current State: 91:[2, 75, 8], Operations: ['99-91=8'] Exploring Operation: 2*8=16, Resulting Numbers: [75, 16] Generated Node #3: [75, 16] from Operation: 2*8=16 Current State: 91:[75, 16], Operations: ['99-91=8', '2*8=16'] Exploring Operation: 75+16=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 86, 14, 9, 68 ]
80
[ "68-14=54", "54/9=6", "86-6=80" ]
Current State: 80:[86, 14, 9, 68], Operations: [] Exploring Operation: 68-14=54, Resulting Numbers: [86, 9, 54] Generated Node #2: [86, 9, 54] from Operation: 68-14=54 Current State: 80:[86, 9, 54], Operations: ['68-14=54'] Exploring Operation: 54/9=6, Resulting Numbers: [86, 6] Generated Node #3: [86, 6] from Operation: 54/9=6 Current State: 80:[86, 6], Operations: ['68-14=54', '54/9=6'] Exploring Operation: 86-6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 17, 42, 49, 19 ]
43
[ "42-17=25", "49+19=68", "68-25=43" ]
Current State: 43:[17, 42, 49, 19], Operations: [] Exploring Operation: 42-17=25, Resulting Numbers: [49, 19, 25] Generated Node #2: [49, 19, 25] from Operation: 42-17=25 Current State: 43:[49, 19, 25], Operations: ['42-17=25'] Exploring Operation: 49+19=68, Resulting Numbers: [25, 68] Generated Node #3: [25, 68] from Operation: 49+19=68 Current State: 43:[25, 68], Operations: ['42-17=25', '49+19=68'] Exploring Operation: 68-25=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 5, 55, 71 ]
33
[ "44+5=49", "71-55=16", "49-16=33" ]
Current State: 33:[44, 5, 55, 71], Operations: [] Exploring Operation: 44+5=49, Resulting Numbers: [55, 71, 49] Generated Node #2: [55, 71, 49] from Operation: 44+5=49 Current State: 33:[55, 71, 49], Operations: ['44+5=49'] Exploring Operation: 71-55=16, Resulting Numbers: [49, 16] Generated Node #3: [49, 16] from Operation: 71-55=16 Current State: 33:[49, 16], Operations: ['44+5=49', '71-55=16'] Exploring Operation: 49-16=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 81, 95, 3, 71 ]
73
[ "95-71=24", "24/3=8", "81-8=73" ]
Current State: 73:[81, 95, 3, 71], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [81, 3, 24] Generated Node #2: [81, 3, 24] from Operation: 95-71=24 Current State: 73:[81, 3, 24], Operations: ['95-71=24'] Exploring Operation: 24/3=8, Resulting Numbers: [81, 8] Generated Node #3: [81, 8] from Operation: 24/3=8 Current State: 73:[81, 8], Operations: ['95-71=24', '24/3=8'] Exploring Operation: 81-8=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 5, 41, 71, 67 ]
59
[ "67-41=26", "5*26=130", "130-71=59" ]
Current State: 59:[5, 41, 71, 67], Operations: [] Exploring Operation: 67-41=26, Resulting Numbers: [5, 71, 26] Generated Node #2: [5, 71, 26] from Operation: 67-41=26 Current State: 59:[5, 71, 26], Operations: ['67-41=26'] Exploring Operation: 5*26=130, Resulting Numbers: [71, 130] Generated Node #3: [71, 130] from Operation: 5*26=130 Current State: 59:[71, 130], Operations: ['67-41=26', '5*26=130'] Exploring Operation: 130-71=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 95, 81, 89, 24 ]
63
[ "95+81=176", "89+24=113", "176-113=63" ]
Current State: 63:[95, 81, 89, 24], Operations: [] Exploring Operation: 95+81=176, Resulting Numbers: [89, 24, 176] Generated Node #2: [89, 24, 176] from Operation: 95+81=176 Current State: 63:[89, 24, 176], Operations: ['95+81=176'] Exploring Operation: 89+24=113, Resulting Numbers: [176, 113] Generated Node #3: [176, 113] from Operation: 89+24=113 Current State: 63:[176, 113], Operations: ['95+81=176', '89+24=113'] Exploring Operation: 176-113=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 63, 44, 43, 60 ]
41
[ "63-43=20", "60/20=3", "44-3=41" ]
Current State: 41:[63, 44, 43, 60], Operations: [] Exploring Operation: 63-43=20, Resulting Numbers: [44, 60, 20] Generated Node #2: [44, 60, 20] from Operation: 63-43=20 Current State: 41:[44, 60, 20], Operations: ['63-43=20'] Exploring Operation: 60/20=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 60/20=3 Current State: 41:[44, 3], Operations: ['63-43=20', '60/20=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 37, 76, 97, 79 ]
57
[ "76-37=39", "97-79=18", "39+18=57" ]
Current State: 57:[37, 76, 97, 79], Operations: [] Exploring Operation: 76-37=39, Resulting Numbers: [97, 79, 39] Generated Node #2: [97, 79, 39] from Operation: 76-37=39 Current State: 57:[97, 79, 39], Operations: ['76-37=39'] Exploring Operation: 97-79=18, Resulting Numbers: [39, 18] Generated Node #3: [39, 18] from Operation: 97-79=18 Current State: 57:[39, 18], Operations: ['76-37=39', '97-79=18'] Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 12, 88, 13, 9 ]
33
[ "12*9=108", "88-13=75", "108-75=33" ]
Current State: 33:[12, 88, 13, 9], Operations: [] Exploring Operation: 12*9=108, Resulting Numbers: [88, 13, 108] Generated Node #2: [88, 13, 108] from Operation: 12*9=108 Current State: 33:[88, 13, 108], Operations: ['12*9=108'] Exploring Operation: 88-13=75, Resulting Numbers: [108, 75] Generated Node #3: [108, 75] from Operation: 88-13=75 Current State: 33:[108, 75], Operations: ['12*9=108', '88-13=75'] Exploring Operation: 108-75=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 46, 80, 7 ]
24
[ "46+80=126", "126/7=18", "6+18=24" ]
Current State: 24:[6, 46, 80, 7], Operations: [] Exploring Operation: 46+80=126, Resulting Numbers: [6, 7, 126] Generated Node #2: [6, 7, 126] from Operation: 46+80=126 Current State: 24:[6, 7, 126], Operations: ['46+80=126'] Exploring Operation: 126/7=18, Resulting Numbers: [6, 18] Generated Node #3: [6, 18] from Operation: 126/7=18 Current State: 24:[6, 18], Operations: ['46+80=126', '126/7=18'] Exploring Operation: 6+18=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 63, 16, 16, 39 ]
25
[ "63-39=24", "16/16=1", "24+1=25" ]
Current State: 25:[63, 16, 16, 39], Operations: [] Exploring Operation: 63-39=24, Resulting Numbers: [16, 16, 24] Generated Node #2: [16, 16, 24] from Operation: 63-39=24 Current State: 25:[16, 16, 24], Operations: ['63-39=24'] Exploring Operation: 16/16=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 16/16=1 Current State: 25:[24, 1], Operations: ['63-39=24', '16/16=1'] Exploring Operation: 24+1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 93, 16, 48, 18 ]
78
[ "93-18=75", "48/16=3", "75+3=78" ]
Current State: 78:[93, 16, 48, 18], Operations: [] Exploring Operation: 93-18=75, Resulting Numbers: [16, 48, 75] Generated Node #2: [16, 48, 75] from Operation: 93-18=75 Current State: 78:[16, 48, 75], Operations: ['93-18=75'] Exploring Operation: 48/16=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 48/16=3 Current State: 78:[75, 3], Operations: ['93-18=75', '48/16=3'] Exploring Operation: 75+3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 90, 91, 54, 96 ]
69
[ "90*96=8640", "8640/54=160", "160-91=69" ]
Current State: 69:[90, 91, 54, 96], Operations: [] Exploring Operation: 90*96=8640, Resulting Numbers: [91, 54, 8640] Generated Node #2: [91, 54, 8640] from Operation: 90*96=8640 Current State: 69:[91, 54, 8640], Operations: ['90*96=8640'] Exploring Operation: 8640/54=160, Resulting Numbers: [91, 160] Generated Node #3: [91, 160] from Operation: 8640/54=160 Current State: 69:[91, 160], Operations: ['90*96=8640', '8640/54=160'] Exploring Operation: 160-91=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 79, 16, 50, 55 ]
90
[ "79+16=95", "55-50=5", "95-5=90" ]
Current State: 90:[79, 16, 50, 55], Operations: [] Exploring Operation: 79+16=95, Resulting Numbers: [50, 55, 95] Generated Node #2: [50, 55, 95] from Operation: 79+16=95 Current State: 90:[50, 55, 95], Operations: ['79+16=95'] Exploring Operation: 55-50=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 55-50=5 Current State: 90:[95, 5], Operations: ['79+16=95', '55-50=5'] Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 66, 1, 56, 15 ]
18
[ "66*15=990", "56-1=55", "990/55=18" ]
Current State: 18:[66, 1, 56, 15], Operations: [] Exploring Operation: 66*15=990, Resulting Numbers: [1, 56, 990] Generated Node #2: [1, 56, 990] from Operation: 66*15=990 Current State: 18:[1, 56, 990], Operations: ['66*15=990'] Exploring Operation: 56-1=55, Resulting Numbers: [990, 55] Generated Node #3: [990, 55] from Operation: 56-1=55 Current State: 18:[990, 55], Operations: ['66*15=990', '56-1=55'] Exploring Operation: 990/55=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 36, 38, 66 ]
17
[ "38-36=2", "66+2=68", "68/4=17" ]
Current State: 17:[4, 36, 38, 66], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [4, 66, 2] Generated Node #2: [4, 66, 2] from Operation: 38-36=2 Current State: 17:[4, 66, 2], Operations: ['38-36=2'] Exploring Operation: 66+2=68, Resulting Numbers: [4, 68] Generated Node #3: [4, 68] from Operation: 66+2=68 Current State: 17:[4, 68], Operations: ['38-36=2', '66+2=68'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 3, 21, 45, 67 ]
75
[ "45-21=24", "24/3=8", "67+8=75" ]
Current State: 75:[3, 21, 45, 67], Operations: [] Exploring Operation: 45-21=24, Resulting Numbers: [3, 67, 24] Generated Node #2: [3, 67, 24] from Operation: 45-21=24 Current State: 75:[3, 67, 24], Operations: ['45-21=24'] Exploring Operation: 24/3=8, Resulting Numbers: [67, 8] Generated Node #3: [67, 8] from Operation: 24/3=8 Current State: 75:[67, 8], Operations: ['45-21=24', '24/3=8'] Exploring Operation: 67+8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 96, 58, 57, 59 ]
78
[ "96-58=38", "57+59=116", "116-38=78" ]
Current State: 78:[96, 58, 57, 59], Operations: [] Exploring Operation: 96-58=38, Resulting Numbers: [57, 59, 38] Generated Node #2: [57, 59, 38] from Operation: 96-58=38 Current State: 78:[57, 59, 38], Operations: ['96-58=38'] Exploring Operation: 57+59=116, Resulting Numbers: [38, 116] Generated Node #3: [38, 116] from Operation: 57+59=116 Current State: 78:[38, 116], Operations: ['96-58=38', '57+59=116'] Exploring Operation: 116-38=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 4, 38, 21, 41 ]
62
[ "4+38=42", "41-21=20", "42+20=62" ]
Current State: 62:[4, 38, 21, 41], Operations: [] Exploring Operation: 4+38=42, Resulting Numbers: [21, 41, 42] Generated Node #2: [21, 41, 42] from Operation: 4+38=42 Current State: 62:[21, 41, 42], Operations: ['4+38=42'] Exploring Operation: 41-21=20, Resulting Numbers: [42, 20] Generated Node #3: [42, 20] from Operation: 41-21=20 Current State: 62:[42, 20], Operations: ['4+38=42', '41-21=20'] Exploring Operation: 42+20=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 56, 14, 48, 2 ]
59
[ "56+14=70", "48+70=118", "118/2=59" ]
Current State: 59:[56, 14, 48, 2], Operations: [] Exploring Operation: 56+14=70, Resulting Numbers: [48, 2, 70] Generated Node #2: [48, 2, 70] from Operation: 56+14=70 Current State: 59:[48, 2, 70], Operations: ['56+14=70'] Exploring Operation: 48+70=118, Resulting Numbers: [2, 118] Generated Node #3: [2, 118] from Operation: 48+70=118 Current State: 59:[2, 118], Operations: ['56+14=70', '48+70=118'] Exploring Operation: 118/2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 31, 95, 50, 44 ]
58
[ "95-31=64", "50-44=6", "64-6=58" ]
Current State: 58:[31, 95, 50, 44], Operations: [] Exploring Operation: 95-31=64, Resulting Numbers: [50, 44, 64] Generated Node #2: [50, 44, 64] from Operation: 95-31=64 Current State: 58:[50, 44, 64], Operations: ['95-31=64'] Exploring Operation: 50-44=6, Resulting Numbers: [64, 6] Generated Node #3: [64, 6] from Operation: 50-44=6 Current State: 58:[64, 6], Operations: ['95-31=64', '50-44=6'] Exploring Operation: 64-6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 3, 69, 47, 70 ]
43
[ "69-3=66", "70-47=23", "66-23=43" ]
Current State: 43:[3, 69, 47, 70], Operations: [] Exploring Operation: 69-3=66, Resulting Numbers: [47, 70, 66] Generated Node #2: [47, 70, 66] from Operation: 69-3=66 Current State: 43:[47, 70, 66], Operations: ['69-3=66'] Exploring Operation: 70-47=23, Resulting Numbers: [66, 23] Generated Node #3: [66, 23] from Operation: 70-47=23 Current State: 43:[66, 23], Operations: ['69-3=66', '70-47=23'] Exploring Operation: 66-23=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 82, 78, 82, 57 ]
100
[ "82-78=4", "82-57=25", "4*25=100" ]
Current State: 100:[82, 78, 82, 57], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [57, 4] Generated Node #2: [57, 4] from Operation: 82-78=4 Current State: 100:[57, 4], Operations: ['82-78=4'] Exploring Operation: 82-57=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 82-57=25 Current State: 100:[4, 25], Operations: ['82-78=4', '82-57=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 75, 60, 29, 99 ]
85
[ "75-60=15", "99-29=70", "15+70=85" ]
Current State: 85:[75, 60, 29, 99], Operations: [] Exploring Operation: 75-60=15, Resulting Numbers: [29, 99, 15] Generated Node #2: [29, 99, 15] from Operation: 75-60=15 Current State: 85:[29, 99, 15], Operations: ['75-60=15'] Exploring Operation: 99-29=70, Resulting Numbers: [15, 70] Generated Node #3: [15, 70] from Operation: 99-29=70 Current State: 85:[15, 70], Operations: ['75-60=15', '99-29=70'] Exploring Operation: 15+70=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 38, 74, 52, 47 ]
63
[ "74-38=36", "52+47=99", "99-36=63" ]
Current State: 63:[38, 74, 52, 47], Operations: [] Exploring Operation: 74-38=36, Resulting Numbers: [52, 47, 36] Generated Node #2: [52, 47, 36] from Operation: 74-38=36 Current State: 63:[52, 47, 36], Operations: ['74-38=36'] Exploring Operation: 52+47=99, Resulting Numbers: [36, 99] Generated Node #3: [36, 99] from Operation: 52+47=99 Current State: 63:[36, 99], Operations: ['74-38=36', '52+47=99'] Exploring Operation: 99-36=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 20, 70, 45, 27 ]
10
[ "70-45=25", "27-25=2", "20/2=10" ]
Current State: 10:[20, 70, 45, 27], Operations: [] Exploring Operation: 70-45=25, Resulting Numbers: [20, 27, 25] Generated Node #2: [20, 27, 25] from Operation: 70-45=25 Current State: 10:[20, 27, 25], Operations: ['70-45=25'] Exploring Operation: 27-25=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 27-25=2 Current State: 10:[20, 2], Operations: ['70-45=25', '27-25=2'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 17, 92, 44, 4 ]
86
[ "92-17=75", "44/4=11", "75+11=86" ]
Current State: 86:[17, 92, 44, 4], Operations: [] Exploring Operation: 92-17=75, Resulting Numbers: [44, 4, 75] Generated Node #2: [44, 4, 75] from Operation: 92-17=75 Current State: 86:[44, 4, 75], Operations: ['92-17=75'] Exploring Operation: 44/4=11, Resulting Numbers: [75, 11] Generated Node #3: [75, 11] from Operation: 44/4=11 Current State: 86:[75, 11], Operations: ['92-17=75', '44/4=11'] Exploring Operation: 75+11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 32, 76, 7, 16 ]
90
[ "32*7=224", "224/16=14", "76+14=90" ]
Current State: 90:[32, 76, 7, 16], Operations: [] Exploring Operation: 32*7=224, Resulting Numbers: [76, 16, 224] Generated Node #2: [76, 16, 224] from Operation: 32*7=224 Current State: 90:[76, 16, 224], Operations: ['32*7=224'] Exploring Operation: 224/16=14, Resulting Numbers: [76, 14] Generated Node #3: [76, 14] from Operation: 224/16=14 Current State: 90:[76, 14], Operations: ['32*7=224', '224/16=14'] Exploring Operation: 76+14=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 49, 15, 3, 90 ]
47
[ "15*3=45", "90/45=2", "49-2=47" ]
Current State: 47:[49, 15, 3, 90], Operations: [] Exploring Operation: 15*3=45, Resulting Numbers: [49, 90, 45] Generated Node #2: [49, 90, 45] from Operation: 15*3=45 Current State: 47:[49, 90, 45], Operations: ['15*3=45'] Exploring Operation: 90/45=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 90/45=2 Current State: 47:[49, 2], Operations: ['15*3=45', '90/45=2'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 49, 90, 34, 30 ]
23
[ "90-49=41", "34+30=64", "64-41=23" ]
Current State: 23:[49, 90, 34, 30], Operations: [] Exploring Operation: 90-49=41, Resulting Numbers: [34, 30, 41] Generated Node #2: [34, 30, 41] from Operation: 90-49=41 Current State: 23:[34, 30, 41], Operations: ['90-49=41'] Exploring Operation: 34+30=64, Resulting Numbers: [41, 64] Generated Node #3: [41, 64] from Operation: 34+30=64 Current State: 23:[41, 64], Operations: ['90-49=41', '34+30=64'] Exploring Operation: 64-41=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 25, 19, 90, 91 ]
43
[ "25+19=44", "91-90=1", "44-1=43" ]
Current State: 43:[25, 19, 90, 91], Operations: [] Exploring Operation: 25+19=44, Resulting Numbers: [90, 91, 44] Generated Node #2: [90, 91, 44] from Operation: 25+19=44 Current State: 43:[90, 91, 44], Operations: ['25+19=44'] Exploring Operation: 91-90=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 91-90=1 Current State: 43:[44, 1], Operations: ['25+19=44', '91-90=1'] Exploring Operation: 44-1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 55, 52, 15, 63 ]
81
[ "55-52=3", "15+63=78", "3+78=81" ]
Current State: 81:[55, 52, 15, 63], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [15, 63, 3] Generated Node #2: [15, 63, 3] from Operation: 55-52=3 Current State: 81:[15, 63, 3], Operations: ['55-52=3'] Exploring Operation: 15+63=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 15+63=78 Current State: 81:[3, 78], Operations: ['55-52=3', '15+63=78'] Exploring Operation: 3+78=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 83, 62, 54, 58 ]
84
[ "83-62=21", "58-54=4", "21*4=84" ]
Current State: 84:[83, 62, 54, 58], Operations: [] Exploring Operation: 83-62=21, Resulting Numbers: [54, 58, 21] Generated Node #2: [54, 58, 21] from Operation: 83-62=21 Current State: 84:[54, 58, 21], Operations: ['83-62=21'] Exploring Operation: 58-54=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 58-54=4 Current State: 84:[21, 4], Operations: ['83-62=21', '58-54=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 47, 6, 46, 15 ]
91
[ "47-46=1", "6*15=90", "1+90=91" ]
Current State: 91:[47, 6, 46, 15], Operations: [] Exploring Operation: 47-46=1, Resulting Numbers: [6, 15, 1] Generated Node #2: [6, 15, 1] from Operation: 47-46=1 Current State: 91:[6, 15, 1], Operations: ['47-46=1'] Exploring Operation: 6*15=90, Resulting Numbers: [1, 90] Generated Node #3: [1, 90] from Operation: 6*15=90 Current State: 91:[1, 90], Operations: ['47-46=1', '6*15=90'] Exploring Operation: 1+90=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 5, 8, 91, 13 ]
78
[ "5+8=13", "13*13=169", "169-91=78" ]
Current State: 78:[5, 8, 91, 13], Operations: [] Exploring Operation: 5+8=13, Resulting Numbers: [91, 13, 13] Generated Node #2: [91, 13, 13] from Operation: 5+8=13 Current State: 78:[91, 13, 13], Operations: ['5+8=13'] Exploring Operation: 13*13=169, Resulting Numbers: [91, 169] Generated Node #3: [91, 169] from Operation: 13*13=169 Current State: 78:[91, 169], Operations: ['5+8=13', '13*13=169'] Exploring Operation: 169-91=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 87, 33, 5, 40 ]
46
[ "87-33=54", "40/5=8", "54-8=46" ]
Current State: 46:[87, 33, 5, 40], Operations: [] Exploring Operation: 87-33=54, Resulting Numbers: [5, 40, 54] Generated Node #2: [5, 40, 54] from Operation: 87-33=54 Current State: 46:[5, 40, 54], Operations: ['87-33=54'] Exploring Operation: 40/5=8, Resulting Numbers: [54, 8] Generated Node #3: [54, 8] from Operation: 40/5=8 Current State: 46:[54, 8], Operations: ['87-33=54', '40/5=8'] Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 19, 45, 70, 59 ]
75
[ "19+45=64", "70-59=11", "64+11=75" ]
Current State: 75:[19, 45, 70, 59], Operations: [] Exploring Operation: 19+45=64, Resulting Numbers: [70, 59, 64] Generated Node #2: [70, 59, 64] from Operation: 19+45=64 Current State: 75:[70, 59, 64], Operations: ['19+45=64'] Exploring Operation: 70-59=11, Resulting Numbers: [64, 11] Generated Node #3: [64, 11] from Operation: 70-59=11 Current State: 75:[64, 11], Operations: ['19+45=64', '70-59=11'] Exploring Operation: 64+11=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 40, 4, 81, 59 ]
96
[ "40+4=44", "81+59=140", "140-44=96" ]
Current State: 96:[40, 4, 81, 59], Operations: [] Exploring Operation: 40+4=44, Resulting Numbers: [81, 59, 44] Generated Node #2: [81, 59, 44] from Operation: 40+4=44 Current State: 96:[81, 59, 44], Operations: ['40+4=44'] Exploring Operation: 81+59=140, Resulting Numbers: [44, 140] Generated Node #3: [44, 140] from Operation: 81+59=140 Current State: 96:[44, 140], Operations: ['40+4=44', '81+59=140'] Exploring Operation: 140-44=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 21, 38, 25, 36 ]
23
[ "21+25=46", "38-36=2", "46/2=23" ]
Current State: 23:[21, 38, 25, 36], Operations: [] Exploring Operation: 21+25=46, Resulting Numbers: [38, 36, 46] Generated Node #2: [38, 36, 46] from Operation: 21+25=46 Current State: 23:[38, 36, 46], Operations: ['21+25=46'] Exploring Operation: 38-36=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 38-36=2 Current State: 23:[46, 2], Operations: ['21+25=46', '38-36=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 69, 93, 94, 91 ]
38
[ "94-91=3", "93/3=31", "69-31=38" ]
Current State: 38:[69, 93, 94, 91], Operations: [] Exploring Operation: 94-91=3, Resulting Numbers: [69, 93, 3] Generated Node #2: [69, 93, 3] from Operation: 94-91=3 Current State: 38:[69, 93, 3], Operations: ['94-91=3'] Exploring Operation: 93/3=31, Resulting Numbers: [69, 31] Generated Node #3: [69, 31] from Operation: 93/3=31 Current State: 38:[69, 31], Operations: ['94-91=3', '93/3=31'] Exploring Operation: 69-31=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 17, 24, 28, 47 ]
51
[ "24-17=7", "28/7=4", "47+4=51" ]
Current State: 51:[17, 24, 28, 47], Operations: [] Exploring Operation: 24-17=7, Resulting Numbers: [28, 47, 7] Generated Node #2: [28, 47, 7] from Operation: 24-17=7 Current State: 51:[28, 47, 7], Operations: ['24-17=7'] Exploring Operation: 28/7=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 28/7=4 Current State: 51:[47, 4], Operations: ['24-17=7', '28/7=4'] Exploring Operation: 47+4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 51, 40, 61, 39 ]
69
[ "51+40=91", "61-39=22", "91-22=69" ]
Current State: 69:[51, 40, 61, 39], Operations: [] Exploring Operation: 51+40=91, Resulting Numbers: [61, 39, 91] Generated Node #2: [61, 39, 91] from Operation: 51+40=91 Current State: 69:[61, 39, 91], Operations: ['51+40=91'] Exploring Operation: 61-39=22, Resulting Numbers: [91, 22] Generated Node #3: [91, 22] from Operation: 61-39=22 Current State: 69:[91, 22], Operations: ['51+40=91', '61-39=22'] Exploring Operation: 91-22=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 69, 24, 17, 83 ]
55
[ "69-24=45", "17+83=100", "100-45=55" ]
Current State: 55:[69, 24, 17, 83], Operations: [] Exploring Operation: 69-24=45, Resulting Numbers: [17, 83, 45] Generated Node #2: [17, 83, 45] from Operation: 69-24=45 Current State: 55:[17, 83, 45], Operations: ['69-24=45'] Exploring Operation: 17+83=100, Resulting Numbers: [45, 100] Generated Node #3: [45, 100] from Operation: 17+83=100 Current State: 55:[45, 100], Operations: ['69-24=45', '17+83=100'] Exploring Operation: 100-45=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 21, 68, 41, 61 ]
70
[ "21+61=82", "82/41=2", "68+2=70" ]
Current State: 70:[21, 68, 41, 61], Operations: [] Exploring Operation: 21+61=82, Resulting Numbers: [68, 41, 82] Generated Node #2: [68, 41, 82] from Operation: 21+61=82 Current State: 70:[68, 41, 82], Operations: ['21+61=82'] Exploring Operation: 82/41=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 82/41=2 Current State: 70:[68, 2], Operations: ['21+61=82', '82/41=2'] Exploring Operation: 68+2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 30, 64, 94, 33 ]
32
[ "30+64=94", "94/94=1", "33-1=32" ]
Current State: 32:[30, 64, 94, 33], Operations: [] Exploring Operation: 30+64=94, Resulting Numbers: [94, 33, 94] Generated Node #2: [94, 33, 94] from Operation: 30+64=94 Current State: 32:[94, 33, 94], Operations: ['30+64=94'] Exploring Operation: 94/94=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 94/94=1 Current State: 32:[33, 1], Operations: ['30+64=94', '94/94=1'] Exploring Operation: 33-1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 84, 6, 36, 43 ]
21
[ "84/6=14", "43-36=7", "14+7=21" ]
Current State: 21:[84, 6, 36, 43], Operations: [] Exploring Operation: 84/6=14, Resulting Numbers: [36, 43, 14] Generated Node #2: [36, 43, 14] from Operation: 84/6=14 Current State: 21:[36, 43, 14], Operations: ['84/6=14'] Exploring Operation: 43-36=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 43-36=7 Current State: 21:[14, 7], Operations: ['84/6=14', '43-36=7'] Exploring Operation: 14+7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 78, 8, 65, 67 ]
43
[ "78+8=86", "67-65=2", "86/2=43" ]
Current State: 43:[78, 8, 65, 67], Operations: [] Exploring Operation: 78+8=86, Resulting Numbers: [65, 67, 86] Generated Node #2: [65, 67, 86] from Operation: 78+8=86 Current State: 43:[65, 67, 86], Operations: ['78+8=86'] Exploring Operation: 67-65=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 67-65=2 Current State: 43:[86, 2], Operations: ['78+8=86', '67-65=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 7, 72, 26, 48 ]
43
[ "72-7=65", "48-26=22", "65-22=43" ]
Current State: 43:[7, 72, 26, 48], Operations: [] Exploring Operation: 72-7=65, Resulting Numbers: [26, 48, 65] Generated Node #2: [26, 48, 65] from Operation: 72-7=65 Current State: 43:[26, 48, 65], Operations: ['72-7=65'] Exploring Operation: 48-26=22, Resulting Numbers: [65, 22] Generated Node #3: [65, 22] from Operation: 48-26=22 Current State: 43:[65, 22], Operations: ['72-7=65', '48-26=22'] Exploring Operation: 65-22=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 86, 91, 18, 3 ]
49
[ "91-86=5", "18*3=54", "54-5=49" ]
Current State: 49:[86, 91, 18, 3], Operations: [] Exploring Operation: 91-86=5, Resulting Numbers: [18, 3, 5] Generated Node #2: [18, 3, 5] from Operation: 91-86=5 Current State: 49:[18, 3, 5], Operations: ['91-86=5'] Exploring Operation: 18*3=54, Resulting Numbers: [5, 54] Generated Node #3: [5, 54] from Operation: 18*3=54 Current State: 49:[5, 54], Operations: ['91-86=5', '18*3=54'] Exploring Operation: 54-5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 30, 62, 45, 65 ]
12
[ "62-30=32", "65-45=20", "32-20=12" ]
Current State: 12:[30, 62, 45, 65], Operations: [] Exploring Operation: 62-30=32, Resulting Numbers: [45, 65, 32] Generated Node #2: [45, 65, 32] from Operation: 62-30=32 Current State: 12:[45, 65, 32], Operations: ['62-30=32'] Exploring Operation: 65-45=20, Resulting Numbers: [32, 20] Generated Node #3: [32, 20] from Operation: 65-45=20 Current State: 12:[32, 20], Operations: ['62-30=32', '65-45=20'] Exploring Operation: 32-20=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 90, 80, 24, 52 ]
66
[ "90-80=10", "24+52=76", "76-10=66" ]
Current State: 66:[90, 80, 24, 52], Operations: [] Exploring Operation: 90-80=10, Resulting Numbers: [24, 52, 10] Generated Node #2: [24, 52, 10] from Operation: 90-80=10 Current State: 66:[24, 52, 10], Operations: ['90-80=10'] Exploring Operation: 24+52=76, Resulting Numbers: [10, 76] Generated Node #3: [10, 76] from Operation: 24+52=76 Current State: 66:[10, 76], Operations: ['90-80=10', '24+52=76'] Exploring Operation: 76-10=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 2, 22, 5, 80 ]
27
[ "22/2=11", "80/5=16", "11+16=27" ]
Current State: 27:[2, 22, 5, 80], Operations: [] Exploring Operation: 22/2=11, Resulting Numbers: [5, 80, 11] Generated Node #2: [5, 80, 11] from Operation: 22/2=11 Current State: 27:[5, 80, 11], Operations: ['22/2=11'] Exploring Operation: 80/5=16, Resulting Numbers: [11, 16] Generated Node #3: [11, 16] from Operation: 80/5=16 Current State: 27:[11, 16], Operations: ['22/2=11', '80/5=16'] Exploring Operation: 11+16=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 81, 23, 20, 73 ]
59
[ "81*20=1620", "23*73=1679", "1679-1620=59" ]
Current State: 59:[81, 23, 20, 73], Operations: [] Exploring Operation: 81*20=1620, Resulting Numbers: [23, 73, 1620] Generated Node #2: [23, 73, 1620] from Operation: 81*20=1620 Current State: 59:[23, 73, 1620], Operations: ['81*20=1620'] Exploring Operation: 23*73=1679, Resulting Numbers: [1620, 1679] Generated Node #3: [1620, 1679] from Operation: 23*73=1679 Current State: 59:[1620, 1679], Operations: ['81*20=1620', '23*73=1679'] Exploring Operation: 1679-1620=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 32, 60, 57, 87 ]
61
[ "60-57=3", "87/3=29", "32+29=61" ]
Current State: 61:[32, 60, 57, 87], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [32, 87, 3] Generated Node #2: [32, 87, 3] from Operation: 60-57=3 Current State: 61:[32, 87, 3], Operations: ['60-57=3'] Exploring Operation: 87/3=29, Resulting Numbers: [32, 29] Generated Node #3: [32, 29] from Operation: 87/3=29 Current State: 61:[32, 29], Operations: ['60-57=3', '87/3=29'] Exploring Operation: 32+29=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 78, 20, 71, 42 ]
15
[ "78+20=98", "71+42=113", "113-98=15" ]
Current State: 15:[78, 20, 71, 42], Operations: [] Exploring Operation: 78+20=98, Resulting Numbers: [71, 42, 98] Generated Node #2: [71, 42, 98] from Operation: 78+20=98 Current State: 15:[71, 42, 98], Operations: ['78+20=98'] Exploring Operation: 71+42=113, Resulting Numbers: [98, 113] Generated Node #3: [98, 113] from Operation: 71+42=113 Current State: 15:[98, 113], Operations: ['78+20=98', '71+42=113'] Exploring Operation: 113-98=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 77, 83, 87, 45 ]
36
[ "83-77=6", "87-45=42", "42-6=36" ]
Current State: 36:[77, 83, 87, 45], Operations: [] Exploring Operation: 83-77=6, Resulting Numbers: [87, 45, 6] Generated Node #2: [87, 45, 6] from Operation: 83-77=6 Current State: 36:[87, 45, 6], Operations: ['83-77=6'] Exploring Operation: 87-45=42, Resulting Numbers: [6, 42] Generated Node #3: [6, 42] from Operation: 87-45=42 Current State: 36:[6, 42], Operations: ['83-77=6', '87-45=42'] Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 67, 73, 62, 9 ]
82
[ "73+62=135", "135/9=15", "67+15=82" ]
Current State: 82:[67, 73, 62, 9], Operations: [] Exploring Operation: 73+62=135, Resulting Numbers: [67, 9, 135] Generated Node #2: [67, 9, 135] from Operation: 73+62=135 Current State: 82:[67, 9, 135], Operations: ['73+62=135'] Exploring Operation: 135/9=15, Resulting Numbers: [67, 15] Generated Node #3: [67, 15] from Operation: 135/9=15 Current State: 82:[67, 15], Operations: ['73+62=135', '135/9=15'] Exploring Operation: 67+15=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 17, 16, 24, 12 ]
92
[ "16-12=4", "17*4=68", "24+68=92" ]
Current State: 92:[17, 16, 24, 12], Operations: [] Exploring Operation: 16-12=4, Resulting Numbers: [17, 24, 4] Generated Node #2: [17, 24, 4] from Operation: 16-12=4 Current State: 92:[17, 24, 4], Operations: ['16-12=4'] Exploring Operation: 17*4=68, Resulting Numbers: [24, 68] Generated Node #3: [24, 68] from Operation: 17*4=68 Current State: 92:[24, 68], Operations: ['16-12=4', '17*4=68'] Exploring Operation: 24+68=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 28, 21, 13, 84 ]
91
[ "28*21=588", "13*588=7644", "7644/84=91" ]
Current State: 91:[28, 21, 13, 84], Operations: [] Exploring Operation: 28*21=588, Resulting Numbers: [13, 84, 588] Generated Node #2: [13, 84, 588] from Operation: 28*21=588 Current State: 91:[13, 84, 588], Operations: ['28*21=588'] Exploring Operation: 13*588=7644, Resulting Numbers: [84, 7644] Generated Node #3: [84, 7644] from Operation: 13*588=7644 Current State: 91:[84, 7644], Operations: ['28*21=588', '13*588=7644'] Exploring Operation: 7644/84=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 18, 57, 33, 52 ]
57
[ "18+33=51", "52-51=1", "57*1=57" ]
Current State: 57:[18, 57, 33, 52], Operations: [] Exploring Operation: 18+33=51, Resulting Numbers: [57, 52, 51] Generated Node #2: [57, 52, 51] from Operation: 18+33=51 Current State: 57:[57, 52, 51], Operations: ['18+33=51'] Exploring Operation: 52-51=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 52-51=1 Current State: 57:[57, 1], Operations: ['18+33=51', '52-51=1'] Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 67, 30, 86, 4 ]
46
[ "86-67=19", "4*19=76", "76-30=46" ]
Current State: 46:[67, 30, 86, 4], Operations: [] Exploring Operation: 86-67=19, Resulting Numbers: [30, 4, 19] Generated Node #2: [30, 4, 19] from Operation: 86-67=19 Current State: 46:[30, 4, 19], Operations: ['86-67=19'] Exploring Operation: 4*19=76, Resulting Numbers: [30, 76] Generated Node #3: [30, 76] from Operation: 4*19=76 Current State: 46:[30, 76], Operations: ['86-67=19', '4*19=76'] Exploring Operation: 76-30=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 21, 52, 36, 66 ]
65
[ "66-21=45", "52*45=2340", "2340/36=65" ]
Current State: 65:[21, 52, 36, 66], Operations: [] Exploring Operation: 66-21=45, Resulting Numbers: [52, 36, 45] Generated Node #2: [52, 36, 45] from Operation: 66-21=45 Current State: 65:[52, 36, 45], Operations: ['66-21=45'] Exploring Operation: 52*45=2340, Resulting Numbers: [36, 2340] Generated Node #3: [36, 2340] from Operation: 52*45=2340 Current State: 65:[36, 2340], Operations: ['66-21=45', '52*45=2340'] Exploring Operation: 2340/36=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 58, 35, 14, 95 ]
20
[ "14*95=1330", "1330/35=38", "58-38=20" ]
Current State: 20:[58, 35, 14, 95], Operations: [] Exploring Operation: 14*95=1330, Resulting Numbers: [58, 35, 1330] Generated Node #2: [58, 35, 1330] from Operation: 14*95=1330 Current State: 20:[58, 35, 1330], Operations: ['14*95=1330'] Exploring Operation: 1330/35=38, Resulting Numbers: [58, 38] Generated Node #3: [58, 38] from Operation: 1330/35=38 Current State: 20:[58, 38], Operations: ['14*95=1330', '1330/35=38'] Exploring Operation: 58-38=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4