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
[ 94, 50, 20, 48 ]
57
[ "94+20=114", "50-48=2", "114/2=57" ]
Current State: 57:[94, 50, 20, 48], Operations: [] Exploring Operation: 94+20=114, Resulting Numbers: [50, 48, 114] Generated Node #2: [50, 48, 114] from Operation: 94+20=114 Current State: 57:[50, 48, 114], Operations: ['94+20=114'] Exploring Operation: 50-48=2, Resulting Numbers: [114, 2] Generated Node #3: [114, 2] from Operation: 50-48=2 Current State: 57:[114, 2], Operations: ['94+20=114', '50-48=2'] Exploring Operation: 114/2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 76, 15, 77, 18 ]
51
[ "76+77=153", "18-15=3", "153/3=51" ]
Current State: 51:[76, 15, 77, 18], Operations: [] Exploring Operation: 76+77=153, Resulting Numbers: [15, 18, 153] Generated Node #2: [15, 18, 153] from Operation: 76+77=153 Current State: 51:[15, 18, 153], Operations: ['76+77=153'] Exploring Operation: 18-15=3, Resulting Numbers: [153, 3] Generated Node #3: [153, 3] from Operation: 18-15=3 Current State: 51:[153, 3], Operations: ['76+77=153', '18-15=3'] Exploring Operation: 153/3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 50, 26, 1, 6 ]
71
[ "50+26=76", "6-1=5", "76-5=71" ]
Current State: 71:[50, 26, 1, 6], Operations: [] Exploring Operation: 50+26=76, Resulting Numbers: [1, 6, 76] Generated Node #2: [1, 6, 76] from Operation: 50+26=76 Current State: 71:[1, 6, 76], Operations: ['50+26=76'] Exploring Operation: 6-1=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 6-1=5 Current State: 71:[76, 5], Operations: ['50+26=76', '6-1=5'] Exploring Operation: 76-5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 46, 53, 62, 8 ]
47
[ "53-46=7", "62-8=54", "54-7=47" ]
Current State: 47:[46, 53, 62, 8], Operations: [] Exploring Operation: 53-46=7, Resulting Numbers: [62, 8, 7] Generated Node #2: [62, 8, 7] from Operation: 53-46=7 Current State: 47:[62, 8, 7], Operations: ['53-46=7'] Exploring Operation: 62-8=54, Resulting Numbers: [7, 54] Generated Node #3: [7, 54] from Operation: 62-8=54 Current State: 47:[7, 54], Operations: ['53-46=7', '62-8=54'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 56, 85, 89, 40 ]
78
[ "85-56=29", "89-40=49", "29+49=78" ]
Current State: 78:[56, 85, 89, 40], Operations: [] Exploring Operation: 85-56=29, Resulting Numbers: [89, 40, 29] Generated Node #2: [89, 40, 29] from Operation: 85-56=29 Current State: 78:[89, 40, 29], Operations: ['85-56=29'] Exploring Operation: 89-40=49, Resulting Numbers: [29, 49] Generated Node #3: [29, 49] from Operation: 89-40=49 Current State: 78:[29, 49], Operations: ['85-56=29', '89-40=49'] Exploring Operation: 29+49=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 28, 60, 44, 64 ]
18
[ "28+44=72", "64-60=4", "72/4=18" ]
Current State: 18:[28, 60, 44, 64], Operations: [] Exploring Operation: 28+44=72, Resulting Numbers: [60, 64, 72] Generated Node #2: [60, 64, 72] from Operation: 28+44=72 Current State: 18:[60, 64, 72], Operations: ['28+44=72'] Exploring Operation: 64-60=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 64-60=4 Current State: 18:[72, 4], Operations: ['28+44=72', '64-60=4'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 9, 25, 22 ]
83
[ "4*9=36", "25+22=47", "36+47=83" ]
Current State: 83:[4, 9, 25, 22], Operations: [] Exploring Operation: 4*9=36, Resulting Numbers: [25, 22, 36] Generated Node #2: [25, 22, 36] from Operation: 4*9=36 Current State: 83:[25, 22, 36], Operations: ['4*9=36'] Exploring Operation: 25+22=47, Resulting Numbers: [36, 47] Generated Node #3: [36, 47] from Operation: 25+22=47 Current State: 83:[36, 47], Operations: ['4*9=36', '25+22=47'] Exploring Operation: 36+47=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 44, 93, 55, 53 ]
47
[ "93-44=49", "55-53=2", "49-2=47" ]
Current State: 47:[44, 93, 55, 53], Operations: [] Exploring Operation: 93-44=49, Resulting Numbers: [55, 53, 49] Generated Node #2: [55, 53, 49] from Operation: 93-44=49 Current State: 47:[55, 53, 49], Operations: ['93-44=49'] Exploring Operation: 55-53=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 55-53=2 Current State: 47:[49, 2], Operations: ['93-44=49', '55-53=2'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 50, 48, 24 ]
28
[ "50-24=26", "48/24=2", "26+2=28" ]
Current State: 28:[24, 50, 48, 24], Operations: [] Exploring Operation: 50-24=26, Resulting Numbers: [48, 26] Generated Node #2: [48, 26] from Operation: 50-24=26 Current State: 28:[48, 26], Operations: ['50-24=26'] Exploring Operation: 48/24=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 48/24=2 Current State: 28:[26, 2], Operations: ['50-24=26', '48/24=2'] Exploring Operation: 26+2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 42, 54, 8, 7 ]
19
[ "42+54=96", "96/8=12", "7+12=19" ]
Current State: 19:[42, 54, 8, 7], Operations: [] Exploring Operation: 42+54=96, Resulting Numbers: [8, 7, 96] Generated Node #2: [8, 7, 96] from Operation: 42+54=96 Current State: 19:[8, 7, 96], Operations: ['42+54=96'] Exploring Operation: 96/8=12, Resulting Numbers: [7, 12] Generated Node #3: [7, 12] from Operation: 96/8=12 Current State: 19:[7, 12], Operations: ['42+54=96', '96/8=12'] Exploring Operation: 7+12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 40, 79, 28, 5 ]
72
[ "79-40=39", "28+5=33", "39+33=72" ]
Current State: 72:[40, 79, 28, 5], Operations: [] Exploring Operation: 79-40=39, Resulting Numbers: [28, 5, 39] Generated Node #2: [28, 5, 39] from Operation: 79-40=39 Current State: 72:[28, 5, 39], Operations: ['79-40=39'] Exploring Operation: 28+5=33, Resulting Numbers: [39, 33] Generated Node #3: [39, 33] from Operation: 28+5=33 Current State: 72:[39, 33], Operations: ['79-40=39', '28+5=33'] Exploring Operation: 39+33=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 63, 34, 32, 33 ]
99
[ "63-34=29", "32-29=3", "33*3=99" ]
Current State: 99:[63, 34, 32, 33], Operations: [] Exploring Operation: 63-34=29, Resulting Numbers: [32, 33, 29] Generated Node #2: [32, 33, 29] from Operation: 63-34=29 Current State: 99:[32, 33, 29], Operations: ['63-34=29'] Exploring Operation: 32-29=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 32-29=3 Current State: 99:[33, 3], Operations: ['63-34=29', '32-29=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 59, 94, 64, 4 ]
94
[ "64-59=5", "5-4=1", "94*1=94" ]
Current State: 94:[59, 94, 64, 4], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [94, 4, 5] Generated Node #2: [94, 4, 5] from Operation: 64-59=5 Current State: 94:[94, 4, 5], Operations: ['64-59=5'] Exploring Operation: 5-4=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 5-4=1 Current State: 94:[94, 1], Operations: ['64-59=5', '5-4=1'] Exploring Operation: 94*1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 18, 68, 84, 9 ]
10
[ "18*9=162", "68+84=152", "162-152=10" ]
Current State: 10:[18, 68, 84, 9], Operations: [] Exploring Operation: 18*9=162, Resulting Numbers: [68, 84, 162] Generated Node #2: [68, 84, 162] from Operation: 18*9=162 Current State: 10:[68, 84, 162], Operations: ['18*9=162'] Exploring Operation: 68+84=152, Resulting Numbers: [162, 152] Generated Node #3: [162, 152] from Operation: 68+84=152 Current State: 10:[162, 152], Operations: ['18*9=162', '68+84=152'] Exploring Operation: 162-152=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 6, 16, 18, 82 ]
10
[ "16-6=10", "18+82=100", "100/10=10" ]
Current State: 10:[6, 16, 18, 82], Operations: [] Exploring Operation: 16-6=10, Resulting Numbers: [18, 82, 10] Generated Node #2: [18, 82, 10] from Operation: 16-6=10 Current State: 10:[18, 82, 10], Operations: ['16-6=10'] Exploring Operation: 18+82=100, Resulting Numbers: [10, 100] Generated Node #3: [10, 100] from Operation: 18+82=100 Current State: 10:[10, 100], Operations: ['16-6=10', '18+82=100'] Exploring Operation: 100/10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 65, 20, 40, 91 ]
78
[ "65+91=156", "40/20=2", "156/2=78" ]
Current State: 78:[65, 20, 40, 91], Operations: [] Exploring Operation: 65+91=156, Resulting Numbers: [20, 40, 156] Generated Node #2: [20, 40, 156] from Operation: 65+91=156 Current State: 78:[20, 40, 156], Operations: ['65+91=156'] Exploring Operation: 40/20=2, Resulting Numbers: [156, 2] Generated Node #3: [156, 2] from Operation: 40/20=2 Current State: 78:[156, 2], Operations: ['65+91=156', '40/20=2'] Exploring Operation: 156/2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 93, 24, 83, 83 ]
49
[ "93+24=117", "83+83=166", "166-117=49" ]
Current State: 49:[93, 24, 83, 83], Operations: [] Exploring Operation: 93+24=117, Resulting Numbers: [83, 83, 117] Generated Node #2: [83, 83, 117] from Operation: 93+24=117 Current State: 49:[83, 83, 117], Operations: ['93+24=117'] Exploring Operation: 83+83=166, Resulting Numbers: [117, 166] Generated Node #3: [117, 166] from Operation: 83+83=166 Current State: 49:[117, 166], Operations: ['93+24=117', '83+83=166'] Exploring Operation: 166-117=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 34, 3, 41, 19 ]
76
[ "34+3=37", "41-37=4", "19*4=76" ]
Current State: 76:[34, 3, 41, 19], Operations: [] Exploring Operation: 34+3=37, Resulting Numbers: [41, 19, 37] Generated Node #2: [41, 19, 37] from Operation: 34+3=37 Current State: 76:[41, 19, 37], Operations: ['34+3=37'] Exploring Operation: 41-37=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 41-37=4 Current State: 76:[19, 4], Operations: ['34+3=37', '41-37=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 1, 27, 10, 1 ]
37
[ "1+27=28", "10-1=9", "28+9=37" ]
Current State: 37:[1, 27, 10, 1], Operations: [] Exploring Operation: 1+27=28, Resulting Numbers: [10, 28] Generated Node #2: [10, 28] from Operation: 1+27=28 Current State: 37:[10, 28], Operations: ['1+27=28'] Exploring Operation: 10-1=9, Resulting Numbers: [28, 9] Generated Node #3: [28, 9] from Operation: 10-1=9 Current State: 37:[28, 9], Operations: ['1+27=28', '10-1=9'] Exploring Operation: 28+9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 77, 47, 33, 4 ]
97
[ "47+33=80", "80/4=20", "77+20=97" ]
Current State: 97:[77, 47, 33, 4], Operations: [] Exploring Operation: 47+33=80, Resulting Numbers: [77, 4, 80] Generated Node #2: [77, 4, 80] from Operation: 47+33=80 Current State: 97:[77, 4, 80], Operations: ['47+33=80'] Exploring Operation: 80/4=20, Resulting Numbers: [77, 20] Generated Node #3: [77, 20] from Operation: 80/4=20 Current State: 97:[77, 20], Operations: ['47+33=80', '80/4=20'] Exploring Operation: 77+20=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 53, 74, 88, 90 ]
86
[ "90-53=37", "74/37=2", "88-2=86" ]
Current State: 86:[53, 74, 88, 90], Operations: [] Exploring Operation: 90-53=37, Resulting Numbers: [74, 88, 37] Generated Node #2: [74, 88, 37] from Operation: 90-53=37 Current State: 86:[74, 88, 37], Operations: ['90-53=37'] Exploring Operation: 74/37=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 74/37=2 Current State: 86:[88, 2], Operations: ['90-53=37', '74/37=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 46, 43, 93, 86 ]
55
[ "46-43=3", "93/3=31", "86-31=55" ]
Current State: 55:[46, 43, 93, 86], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [93, 86, 3] Generated Node #2: [93, 86, 3] from Operation: 46-43=3 Current State: 55:[93, 86, 3], Operations: ['46-43=3'] Exploring Operation: 93/3=31, Resulting Numbers: [86, 31] Generated Node #3: [86, 31] from Operation: 93/3=31 Current State: 55:[86, 31], Operations: ['46-43=3', '93/3=31'] Exploring Operation: 86-31=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 34, 95, 38, 44 ]
67
[ "95-34=61", "44-38=6", "61+6=67" ]
Current State: 67:[34, 95, 38, 44], Operations: [] Exploring Operation: 95-34=61, Resulting Numbers: [38, 44, 61] Generated Node #2: [38, 44, 61] from Operation: 95-34=61 Current State: 67:[38, 44, 61], Operations: ['95-34=61'] Exploring Operation: 44-38=6, Resulting Numbers: [61, 6] Generated Node #3: [61, 6] from Operation: 44-38=6 Current State: 67:[61, 6], Operations: ['95-34=61', '44-38=6'] Exploring Operation: 61+6=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 55, 6, 26, 5 ]
51
[ "55+26=81", "6*5=30", "81-30=51" ]
Current State: 51:[55, 6, 26, 5], Operations: [] Exploring Operation: 55+26=81, Resulting Numbers: [6, 5, 81] Generated Node #2: [6, 5, 81] from Operation: 55+26=81 Current State: 51:[6, 5, 81], Operations: ['55+26=81'] Exploring Operation: 6*5=30, Resulting Numbers: [81, 30] Generated Node #3: [81, 30] from Operation: 6*5=30 Current State: 51:[81, 30], Operations: ['55+26=81', '6*5=30'] Exploring Operation: 81-30=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 31, 42, 49, 47 ]
23
[ "31+42=73", "49+47=96", "96-73=23" ]
Current State: 23:[31, 42, 49, 47], Operations: [] Exploring Operation: 31+42=73, Resulting Numbers: [49, 47, 73] Generated Node #2: [49, 47, 73] from Operation: 31+42=73 Current State: 23:[49, 47, 73], Operations: ['31+42=73'] Exploring Operation: 49+47=96, Resulting Numbers: [73, 96] Generated Node #3: [73, 96] from Operation: 49+47=96 Current State: 23:[73, 96], Operations: ['31+42=73', '49+47=96'] Exploring Operation: 96-73=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 95, 97, 53, 89 ]
25
[ "95-89=6", "97+53=150", "150/6=25" ]
Current State: 25:[95, 97, 53, 89], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [97, 53, 6] Generated Node #2: [97, 53, 6] from Operation: 95-89=6 Current State: 25:[97, 53, 6], Operations: ['95-89=6'] Exploring Operation: 97+53=150, Resulting Numbers: [6, 150] Generated Node #3: [6, 150] from Operation: 97+53=150 Current State: 25:[6, 150], Operations: ['95-89=6', '97+53=150'] Exploring Operation: 150/6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 97, 91, 4, 1 ]
48
[ "97+91=188", "188/4=47", "1+47=48" ]
Current State: 48:[97, 91, 4, 1], Operations: [] Exploring Operation: 97+91=188, Resulting Numbers: [4, 1, 188] Generated Node #2: [4, 1, 188] from Operation: 97+91=188 Current State: 48:[4, 1, 188], Operations: ['97+91=188'] Exploring Operation: 188/4=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 188/4=47 Current State: 48:[1, 47], Operations: ['97+91=188', '188/4=47'] Exploring Operation: 1+47=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 82, 2, 30, 98 ]
22
[ "98-82=16", "16/2=8", "30-8=22" ]
Current State: 22:[82, 2, 30, 98], Operations: [] Exploring Operation: 98-82=16, Resulting Numbers: [2, 30, 16] Generated Node #2: [2, 30, 16] from Operation: 98-82=16 Current State: 22:[2, 30, 16], Operations: ['98-82=16'] Exploring Operation: 16/2=8, Resulting Numbers: [30, 8] Generated Node #3: [30, 8] from Operation: 16/2=8 Current State: 22:[30, 8], Operations: ['98-82=16', '16/2=8'] Exploring Operation: 30-8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 70, 3, 97, 63 ]
87
[ "70+3=73", "97+63=160", "160-73=87" ]
Current State: 87:[70, 3, 97, 63], Operations: [] Exploring Operation: 70+3=73, Resulting Numbers: [97, 63, 73] Generated Node #2: [97, 63, 73] from Operation: 70+3=73 Current State: 87:[97, 63, 73], Operations: ['70+3=73'] Exploring Operation: 97+63=160, Resulting Numbers: [73, 160] Generated Node #3: [73, 160] from Operation: 97+63=160 Current State: 87:[73, 160], Operations: ['70+3=73', '97+63=160'] Exploring Operation: 160-73=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 3, 45, 81, 57 ]
77
[ "57-45=12", "12/3=4", "81-4=77" ]
Current State: 77:[3, 45, 81, 57], Operations: [] Exploring Operation: 57-45=12, Resulting Numbers: [3, 81, 12] Generated Node #2: [3, 81, 12] from Operation: 57-45=12 Current State: 77:[3, 81, 12], Operations: ['57-45=12'] Exploring Operation: 12/3=4, Resulting Numbers: [81, 4] Generated Node #3: [81, 4] from Operation: 12/3=4 Current State: 77:[81, 4], Operations: ['57-45=12', '12/3=4'] Exploring Operation: 81-4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 66, 73, 27, 31 ]
70
[ "66+27=93", "93/31=3", "73-3=70" ]
Current State: 70:[66, 73, 27, 31], Operations: [] Exploring Operation: 66+27=93, Resulting Numbers: [73, 31, 93] Generated Node #2: [73, 31, 93] from Operation: 66+27=93 Current State: 70:[73, 31, 93], Operations: ['66+27=93'] Exploring Operation: 93/31=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 93/31=3 Current State: 70:[73, 3], Operations: ['66+27=93', '93/31=3'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 26, 45, 59, 65 ]
77
[ "26+45=71", "65-59=6", "71+6=77" ]
Current State: 77:[26, 45, 59, 65], Operations: [] Exploring Operation: 26+45=71, Resulting Numbers: [59, 65, 71] Generated Node #2: [59, 65, 71] from Operation: 26+45=71 Current State: 77:[59, 65, 71], Operations: ['26+45=71'] Exploring Operation: 65-59=6, Resulting Numbers: [71, 6] Generated Node #3: [71, 6] from Operation: 65-59=6 Current State: 77:[71, 6], Operations: ['26+45=71', '65-59=6'] Exploring Operation: 71+6=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 79, 8, 13, 3 ]
28
[ "79-8=71", "13+71=84", "84/3=28" ]
Current State: 28:[79, 8, 13, 3], Operations: [] Exploring Operation: 79-8=71, Resulting Numbers: [13, 3, 71] Generated Node #2: [13, 3, 71] from Operation: 79-8=71 Current State: 28:[13, 3, 71], Operations: ['79-8=71'] Exploring Operation: 13+71=84, Resulting Numbers: [3, 84] Generated Node #3: [3, 84] from Operation: 13+71=84 Current State: 28:[3, 84], Operations: ['79-8=71', '13+71=84'] Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 80, 84, 40, 24 ]
62
[ "80/40=2", "84-24=60", "2+60=62" ]
Current State: 62:[80, 84, 40, 24], Operations: [] Exploring Operation: 80/40=2, Resulting Numbers: [84, 24, 2] Generated Node #2: [84, 24, 2] from Operation: 80/40=2 Current State: 62:[84, 24, 2], Operations: ['80/40=2'] Exploring Operation: 84-24=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 84-24=60 Current State: 62:[2, 60], Operations: ['80/40=2', '84-24=60'] Exploring Operation: 2+60=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 34, 60, 64, 90 ]
45
[ "64-34=30", "60/30=2", "90/2=45" ]
Current State: 45:[34, 60, 64, 90], Operations: [] Exploring Operation: 64-34=30, Resulting Numbers: [60, 90, 30] Generated Node #2: [60, 90, 30] from Operation: 64-34=30 Current State: 45:[60, 90, 30], Operations: ['64-34=30'] Exploring Operation: 60/30=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 60/30=2 Current State: 45:[90, 2], Operations: ['64-34=30', '60/30=2'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 29, 6, 26, 39 ]
57
[ "29-26=3", "6*3=18", "39+18=57" ]
Current State: 57:[29, 6, 26, 39], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [6, 39, 3] Generated Node #2: [6, 39, 3] from Operation: 29-26=3 Current State: 57:[6, 39, 3], Operations: ['29-26=3'] Exploring Operation: 6*3=18, Resulting Numbers: [39, 18] Generated Node #3: [39, 18] from Operation: 6*3=18 Current State: 57:[39, 18], Operations: ['29-26=3', '6*3=18'] Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 29, 63, 61, 26 ]
82
[ "29-26=3", "63/3=21", "61+21=82" ]
Current State: 82:[29, 63, 61, 26], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [63, 61, 3] Generated Node #2: [63, 61, 3] from Operation: 29-26=3 Current State: 82:[63, 61, 3], Operations: ['29-26=3'] Exploring Operation: 63/3=21, Resulting Numbers: [61, 21] Generated Node #3: [61, 21] from Operation: 63/3=21 Current State: 82:[61, 21], Operations: ['29-26=3', '63/3=21'] Exploring Operation: 61+21=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 33, 59, 17, 53 ]
56
[ "33+59=92", "53-17=36", "92-36=56" ]
Current State: 56:[33, 59, 17, 53], Operations: [] Exploring Operation: 33+59=92, Resulting Numbers: [17, 53, 92] Generated Node #2: [17, 53, 92] from Operation: 33+59=92 Current State: 56:[17, 53, 92], Operations: ['33+59=92'] Exploring Operation: 53-17=36, Resulting Numbers: [92, 36] Generated Node #3: [92, 36] from Operation: 53-17=36 Current State: 56:[92, 36], Operations: ['33+59=92', '53-17=36'] Exploring Operation: 92-36=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 30, 14, 90, 2 ]
89
[ "30+14=44", "90/2=45", "44+45=89" ]
Current State: 89:[30, 14, 90, 2], Operations: [] Exploring Operation: 30+14=44, Resulting Numbers: [90, 2, 44] Generated Node #2: [90, 2, 44] from Operation: 30+14=44 Current State: 89:[90, 2, 44], Operations: ['30+14=44'] Exploring Operation: 90/2=45, Resulting Numbers: [44, 45] Generated Node #3: [44, 45] from Operation: 90/2=45 Current State: 89:[44, 45], Operations: ['30+14=44', '90/2=45'] Exploring Operation: 44+45=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 82, 87, 15, 22 ]
97
[ "87-82=5", "15*5=75", "22+75=97" ]
Current State: 97:[82, 87, 15, 22], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [15, 22, 5] Generated Node #2: [15, 22, 5] from Operation: 87-82=5 Current State: 97:[15, 22, 5], Operations: ['87-82=5'] Exploring Operation: 15*5=75, Resulting Numbers: [22, 75] Generated Node #3: [22, 75] from Operation: 15*5=75 Current State: 97:[22, 75], Operations: ['87-82=5', '15*5=75'] Exploring Operation: 22+75=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 88, 80, 68, 84 ]
16
[ "88+80=168", "68+84=152", "168-152=16" ]
Current State: 16:[88, 80, 68, 84], Operations: [] Exploring Operation: 88+80=168, Resulting Numbers: [68, 84, 168] Generated Node #2: [68, 84, 168] from Operation: 88+80=168 Current State: 16:[68, 84, 168], Operations: ['88+80=168'] Exploring Operation: 68+84=152, Resulting Numbers: [168, 152] Generated Node #3: [168, 152] from Operation: 68+84=152 Current State: 16:[168, 152], Operations: ['88+80=168', '68+84=152'] Exploring Operation: 168-152=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 17, 25, 54, 40 ]
86
[ "25-17=8", "54+40=94", "94-8=86" ]
Current State: 86:[17, 25, 54, 40], Operations: [] Exploring Operation: 25-17=8, Resulting Numbers: [54, 40, 8] Generated Node #2: [54, 40, 8] from Operation: 25-17=8 Current State: 86:[54, 40, 8], Operations: ['25-17=8'] Exploring Operation: 54+40=94, Resulting Numbers: [8, 94] Generated Node #3: [8, 94] from Operation: 54+40=94 Current State: 86:[8, 94], Operations: ['25-17=8', '54+40=94'] Exploring Operation: 94-8=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 68, 3, 61, 57 ]
61
[ "68-3=65", "61-57=4", "65-4=61" ]
Current State: 61:[68, 3, 61, 57], Operations: [] Exploring Operation: 68-3=65, Resulting Numbers: [61, 57, 65] Generated Node #2: [61, 57, 65] from Operation: 68-3=65 Current State: 61:[61, 57, 65], Operations: ['68-3=65'] Exploring Operation: 61-57=4, Resulting Numbers: [65, 4] Generated Node #3: [65, 4] from Operation: 61-57=4 Current State: 61:[65, 4], Operations: ['68-3=65', '61-57=4'] Exploring Operation: 65-4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 86, 69, 54, 16 ]
53
[ "86-69=17", "54+16=70", "70-17=53" ]
Current State: 53:[86, 69, 54, 16], Operations: [] Exploring Operation: 86-69=17, Resulting Numbers: [54, 16, 17] Generated Node #2: [54, 16, 17] from Operation: 86-69=17 Current State: 53:[54, 16, 17], Operations: ['86-69=17'] Exploring Operation: 54+16=70, Resulting Numbers: [17, 70] Generated Node #3: [17, 70] from Operation: 54+16=70 Current State: 53:[17, 70], Operations: ['86-69=17', '54+16=70'] Exploring Operation: 70-17=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 12, 25, 67, 7 ]
87
[ "25-12=13", "67+7=74", "13+74=87" ]
Current State: 87:[12, 25, 67, 7], Operations: [] Exploring Operation: 25-12=13, Resulting Numbers: [67, 7, 13] Generated Node #2: [67, 7, 13] from Operation: 25-12=13 Current State: 87:[67, 7, 13], Operations: ['25-12=13'] Exploring Operation: 67+7=74, Resulting Numbers: [13, 74] Generated Node #3: [13, 74] from Operation: 67+7=74 Current State: 87:[13, 74], Operations: ['25-12=13', '67+7=74'] Exploring Operation: 13+74=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 13, 97, 42, 49 ]
98
[ "97-13=84", "84/42=2", "49*2=98" ]
Current State: 98:[13, 97, 42, 49], Operations: [] Exploring Operation: 97-13=84, Resulting Numbers: [42, 49, 84] Generated Node #2: [42, 49, 84] from Operation: 97-13=84 Current State: 98:[42, 49, 84], Operations: ['97-13=84'] Exploring Operation: 84/42=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 84/42=2 Current State: 98:[49, 2], Operations: ['97-13=84', '84/42=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 23, 2, 72, 45 ]
48
[ "23-2=21", "72-45=27", "21+27=48" ]
Current State: 48:[23, 2, 72, 45], Operations: [] Exploring Operation: 23-2=21, Resulting Numbers: [72, 45, 21] Generated Node #2: [72, 45, 21] from Operation: 23-2=21 Current State: 48:[72, 45, 21], Operations: ['23-2=21'] Exploring Operation: 72-45=27, Resulting Numbers: [21, 27] Generated Node #3: [21, 27] from Operation: 72-45=27 Current State: 48:[21, 27], Operations: ['23-2=21', '72-45=27'] Exploring Operation: 21+27=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 25, 58, 89, 87 ]
91
[ "89-87=2", "58*2=116", "116-25=91" ]
Current State: 91:[25, 58, 89, 87], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [25, 58, 2] Generated Node #2: [25, 58, 2] from Operation: 89-87=2 Current State: 91:[25, 58, 2], Operations: ['89-87=2'] Exploring Operation: 58*2=116, Resulting Numbers: [25, 116] Generated Node #3: [25, 116] from Operation: 58*2=116 Current State: 91:[25, 116], Operations: ['89-87=2', '58*2=116'] Exploring Operation: 116-25=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 67, 27, 62, 53 ]
49
[ "67-27=40", "62-53=9", "40+9=49" ]
Current State: 49:[67, 27, 62, 53], Operations: [] Exploring Operation: 67-27=40, Resulting Numbers: [62, 53, 40] Generated Node #2: [62, 53, 40] from Operation: 67-27=40 Current State: 49:[62, 53, 40], Operations: ['67-27=40'] Exploring Operation: 62-53=9, Resulting Numbers: [40, 9] Generated Node #3: [40, 9] from Operation: 62-53=9 Current State: 49:[40, 9], Operations: ['67-27=40', '62-53=9'] Exploring Operation: 40+9=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 14, 30, 68, 25 ]
45
[ "68-14=54", "25*54=1350", "1350/30=45" ]
Current State: 45:[14, 30, 68, 25], Operations: [] Exploring Operation: 68-14=54, Resulting Numbers: [30, 25, 54] Generated Node #2: [30, 25, 54] from Operation: 68-14=54 Current State: 45:[30, 25, 54], Operations: ['68-14=54'] Exploring Operation: 25*54=1350, Resulting Numbers: [30, 1350] Generated Node #3: [30, 1350] from Operation: 25*54=1350 Current State: 45:[30, 1350], Operations: ['68-14=54', '25*54=1350'] Exploring Operation: 1350/30=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 61, 95, 36, 52 ]
68
[ "61+95=156", "36+52=88", "156-88=68" ]
Current State: 68:[61, 95, 36, 52], Operations: [] Exploring Operation: 61+95=156, Resulting Numbers: [36, 52, 156] Generated Node #2: [36, 52, 156] from Operation: 61+95=156 Current State: 68:[36, 52, 156], Operations: ['61+95=156'] Exploring Operation: 36+52=88, Resulting Numbers: [156, 88] Generated Node #3: [156, 88] from Operation: 36+52=88 Current State: 68:[156, 88], Operations: ['61+95=156', '36+52=88'] Exploring Operation: 156-88=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 35, 40, 14, 4 ]
51
[ "40-35=5", "14*4=56", "56-5=51" ]
Current State: 51:[35, 40, 14, 4], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [14, 4, 5] Generated Node #2: [14, 4, 5] from Operation: 40-35=5 Current State: 51:[14, 4, 5], Operations: ['40-35=5'] Exploring Operation: 14*4=56, Resulting Numbers: [5, 56] Generated Node #3: [5, 56] from Operation: 14*4=56 Current State: 51:[5, 56], Operations: ['40-35=5', '14*4=56'] Exploring Operation: 56-5=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 11, 64, 13, 86 ]
73
[ "13+86=99", "99/11=9", "64+9=73" ]
Current State: 73:[11, 64, 13, 86], Operations: [] Exploring Operation: 13+86=99, Resulting Numbers: [11, 64, 99] Generated Node #2: [11, 64, 99] from Operation: 13+86=99 Current State: 73:[11, 64, 99], Operations: ['13+86=99'] Exploring Operation: 99/11=9, Resulting Numbers: [64, 9] Generated Node #3: [64, 9] from Operation: 99/11=9 Current State: 73:[64, 9], Operations: ['13+86=99', '99/11=9'] Exploring Operation: 64+9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 96, 9, 92, 34 ]
100
[ "96-92=4", "34-9=25", "4*25=100" ]
Current State: 100:[96, 9, 92, 34], Operations: [] Exploring Operation: 96-92=4, Resulting Numbers: [9, 34, 4] Generated Node #2: [9, 34, 4] from Operation: 96-92=4 Current State: 100:[9, 34, 4], Operations: ['96-92=4'] Exploring Operation: 34-9=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 34-9=25 Current State: 100:[4, 25], Operations: ['96-92=4', '34-9=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 15, 90, 85, 26 ]
16
[ "90-15=75", "85-26=59", "75-59=16" ]
Current State: 16:[15, 90, 85, 26], Operations: [] Exploring Operation: 90-15=75, Resulting Numbers: [85, 26, 75] Generated Node #2: [85, 26, 75] from Operation: 90-15=75 Current State: 16:[85, 26, 75], Operations: ['90-15=75'] Exploring Operation: 85-26=59, Resulting Numbers: [75, 59] Generated Node #3: [75, 59] from Operation: 85-26=59 Current State: 16:[75, 59], Operations: ['90-15=75', '85-26=59'] Exploring Operation: 75-59=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 95, 1, 64, 52 ]
83
[ "95*1=95", "64-52=12", "95-12=83" ]
Current State: 83:[95, 1, 64, 52], Operations: [] Exploring Operation: 95*1=95, Resulting Numbers: [64, 52, 95] Generated Node #2: [64, 52, 95] from Operation: 95*1=95 Current State: 83:[64, 52, 95], Operations: ['95*1=95'] Exploring Operation: 64-52=12, Resulting Numbers: [95, 12] Generated Node #3: [95, 12] from Operation: 64-52=12 Current State: 83:[95, 12], Operations: ['95*1=95', '64-52=12'] Exploring Operation: 95-12=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 28, 18, 56, 35 ]
71
[ "56/28=2", "18*2=36", "35+36=71" ]
Current State: 71:[28, 18, 56, 35], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [18, 35, 2] Generated Node #2: [18, 35, 2] from Operation: 56/28=2 Current State: 71:[18, 35, 2], Operations: ['56/28=2'] Exploring Operation: 18*2=36, Resulting Numbers: [35, 36] Generated Node #3: [35, 36] from Operation: 18*2=36 Current State: 71:[35, 36], Operations: ['56/28=2', '18*2=36'] Exploring Operation: 35+36=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 3, 52, 81, 43 ]
75
[ "52-3=49", "81+43=124", "124-49=75" ]
Current State: 75:[3, 52, 81, 43], Operations: [] Exploring Operation: 52-3=49, Resulting Numbers: [81, 43, 49] Generated Node #2: [81, 43, 49] from Operation: 52-3=49 Current State: 75:[81, 43, 49], Operations: ['52-3=49'] Exploring Operation: 81+43=124, Resulting Numbers: [49, 124] Generated Node #3: [49, 124] from Operation: 81+43=124 Current State: 75:[49, 124], Operations: ['52-3=49', '81+43=124'] Exploring Operation: 124-49=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 10, 68, 67, 62 ]
54
[ "68+62=130", "130/10=13", "67-13=54" ]
Current State: 54:[10, 68, 67, 62], Operations: [] Exploring Operation: 68+62=130, Resulting Numbers: [10, 67, 130] Generated Node #2: [10, 67, 130] from Operation: 68+62=130 Current State: 54:[10, 67, 130], Operations: ['68+62=130'] Exploring Operation: 130/10=13, Resulting Numbers: [67, 13] Generated Node #3: [67, 13] from Operation: 130/10=13 Current State: 54:[67, 13], Operations: ['68+62=130', '130/10=13'] Exploring Operation: 67-13=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 42, 82, 8, 22 ]
10
[ "82-42=40", "8+22=30", "40-30=10" ]
Current State: 10:[42, 82, 8, 22], Operations: [] Exploring Operation: 82-42=40, Resulting Numbers: [8, 22, 40] Generated Node #2: [8, 22, 40] from Operation: 82-42=40 Current State: 10:[8, 22, 40], Operations: ['82-42=40'] Exploring Operation: 8+22=30, Resulting Numbers: [40, 30] Generated Node #3: [40, 30] from Operation: 8+22=30 Current State: 10:[40, 30], Operations: ['82-42=40', '8+22=30'] Exploring Operation: 40-30=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 2, 34, 53, 71 ]
50
[ "2*34=68", "71-53=18", "68-18=50" ]
Current State: 50:[2, 34, 53, 71], Operations: [] Exploring Operation: 2*34=68, Resulting Numbers: [53, 71, 68] Generated Node #2: [53, 71, 68] from Operation: 2*34=68 Current State: 50:[53, 71, 68], Operations: ['2*34=68'] Exploring Operation: 71-53=18, Resulting Numbers: [68, 18] Generated Node #3: [68, 18] from Operation: 71-53=18 Current State: 50:[68, 18], Operations: ['2*34=68', '71-53=18'] Exploring Operation: 68-18=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 70, 14, 33, 55 ]
28
[ "70*33=2310", "2310/55=42", "42-14=28" ]
Current State: 28:[70, 14, 33, 55], Operations: [] Exploring Operation: 70*33=2310, Resulting Numbers: [14, 55, 2310] Generated Node #2: [14, 55, 2310] from Operation: 70*33=2310 Current State: 28:[14, 55, 2310], Operations: ['70*33=2310'] Exploring Operation: 2310/55=42, Resulting Numbers: [14, 42] Generated Node #3: [14, 42] from Operation: 2310/55=42 Current State: 28:[14, 42], Operations: ['70*33=2310', '2310/55=42'] Exploring Operation: 42-14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 7, 88, 80, 61 ]
45
[ "80-61=19", "7*19=133", "133-88=45" ]
Current State: 45:[7, 88, 80, 61], Operations: [] Exploring Operation: 80-61=19, Resulting Numbers: [7, 88, 19] Generated Node #2: [7, 88, 19] from Operation: 80-61=19 Current State: 45:[7, 88, 19], Operations: ['80-61=19'] Exploring Operation: 7*19=133, Resulting Numbers: [88, 133] Generated Node #3: [88, 133] from Operation: 7*19=133 Current State: 45:[88, 133], Operations: ['80-61=19', '7*19=133'] Exploring Operation: 133-88=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 63, 12, 5, 59 ]
15
[ "63-59=4", "12*5=60", "60/4=15" ]
Current State: 15:[63, 12, 5, 59], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [12, 5, 4] Generated Node #2: [12, 5, 4] from Operation: 63-59=4 Current State: 15:[12, 5, 4], Operations: ['63-59=4'] Exploring Operation: 12*5=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 12*5=60 Current State: 15:[4, 60], Operations: ['63-59=4', '12*5=60'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 23, 53, 56, 21 ]
41
[ "23+53=76", "56-21=35", "76-35=41" ]
Current State: 41:[23, 53, 56, 21], Operations: [] Exploring Operation: 23+53=76, Resulting Numbers: [56, 21, 76] Generated Node #2: [56, 21, 76] from Operation: 23+53=76 Current State: 41:[56, 21, 76], Operations: ['23+53=76'] Exploring Operation: 56-21=35, Resulting Numbers: [76, 35] Generated Node #3: [76, 35] from Operation: 56-21=35 Current State: 41:[76, 35], Operations: ['23+53=76', '56-21=35'] Exploring Operation: 76-35=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 16, 26, 83 ]
48
[ "54+26=80", "83-80=3", "16*3=48" ]
Current State: 48:[54, 16, 26, 83], Operations: [] Exploring Operation: 54+26=80, Resulting Numbers: [16, 83, 80] Generated Node #2: [16, 83, 80] from Operation: 54+26=80 Current State: 48:[16, 83, 80], Operations: ['54+26=80'] Exploring Operation: 83-80=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 83-80=3 Current State: 48:[16, 3], Operations: ['54+26=80', '83-80=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 4, 5, 3, 49 ]
42
[ "4*3=12", "5+49=54", "54-12=42" ]
Current State: 42:[4, 5, 3, 49], Operations: [] Exploring Operation: 4*3=12, Resulting Numbers: [5, 49, 12] Generated Node #2: [5, 49, 12] from Operation: 4*3=12 Current State: 42:[5, 49, 12], Operations: ['4*3=12'] Exploring Operation: 5+49=54, Resulting Numbers: [12, 54] Generated Node #3: [12, 54] from Operation: 5+49=54 Current State: 42:[12, 54], Operations: ['4*3=12', '5+49=54'] Exploring Operation: 54-12=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 37, 27, 53, 71 ]
82
[ "37+27=64", "71-53=18", "64+18=82" ]
Current State: 82:[37, 27, 53, 71], Operations: [] Exploring Operation: 37+27=64, Resulting Numbers: [53, 71, 64] Generated Node #2: [53, 71, 64] from Operation: 37+27=64 Current State: 82:[53, 71, 64], Operations: ['37+27=64'] Exploring Operation: 71-53=18, Resulting Numbers: [64, 18] Generated Node #3: [64, 18] from Operation: 71-53=18 Current State: 82:[64, 18], Operations: ['37+27=64', '71-53=18'] Exploring Operation: 64+18=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 59, 42, 8, 73 ]
20
[ "59+42=101", "8+73=81", "101-81=20" ]
Current State: 20:[59, 42, 8, 73], Operations: [] Exploring Operation: 59+42=101, Resulting Numbers: [8, 73, 101] Generated Node #2: [8, 73, 101] from Operation: 59+42=101 Current State: 20:[8, 73, 101], Operations: ['59+42=101'] Exploring Operation: 8+73=81, Resulting Numbers: [101, 81] Generated Node #3: [101, 81] from Operation: 8+73=81 Current State: 20:[101, 81], Operations: ['59+42=101', '8+73=81'] Exploring Operation: 101-81=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 27, 16, 49, 70 ]
47
[ "70-16=54", "54/27=2", "49-2=47" ]
Current State: 47:[27, 16, 49, 70], Operations: [] Exploring Operation: 70-16=54, Resulting Numbers: [27, 49, 54] Generated Node #2: [27, 49, 54] from Operation: 70-16=54 Current State: 47:[27, 49, 54], Operations: ['70-16=54'] Exploring Operation: 54/27=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 54/27=2 Current State: 47:[49, 2], Operations: ['70-16=54', '54/27=2'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 60, 78, 42, 30 ]
10
[ "78-42=36", "36-30=6", "60/6=10" ]
Current State: 10:[60, 78, 42, 30], Operations: [] Exploring Operation: 78-42=36, Resulting Numbers: [60, 30, 36] Generated Node #2: [60, 30, 36] from Operation: 78-42=36 Current State: 10:[60, 30, 36], Operations: ['78-42=36'] Exploring Operation: 36-30=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 36-30=6 Current State: 10:[60, 6], Operations: ['78-42=36', '36-30=6'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 60, 24, 31, 6 ]
30
[ "60-24=36", "36-31=5", "6*5=30" ]
Current State: 30:[60, 24, 31, 6], Operations: [] Exploring Operation: 60-24=36, Resulting Numbers: [31, 6, 36] Generated Node #2: [31, 6, 36] from Operation: 60-24=36 Current State: 30:[31, 6, 36], Operations: ['60-24=36'] Exploring Operation: 36-31=5, Resulting Numbers: [6, 5] Generated Node #3: [6, 5] from Operation: 36-31=5 Current State: 30:[6, 5], Operations: ['60-24=36', '36-31=5'] Exploring Operation: 6*5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 84, 21, 75, 21 ]
10
[ "84-75=9", "21/21=1", "9+1=10" ]
Current State: 10:[84, 21, 75, 21], Operations: [] Exploring Operation: 84-75=9, Resulting Numbers: [21, 21, 9] Generated Node #2: [21, 21, 9] from Operation: 84-75=9 Current State: 10:[21, 21, 9], Operations: ['84-75=9'] Exploring Operation: 21/21=1, Resulting Numbers: [9, 1] Generated Node #3: [9, 1] from Operation: 21/21=1 Current State: 10:[9, 1], Operations: ['84-75=9', '21/21=1'] Exploring Operation: 9+1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 55, 9, 7, 89 ]
58
[ "55*9=495", "495-89=406", "406/7=58" ]
Current State: 58:[55, 9, 7, 89], Operations: [] Exploring Operation: 55*9=495, Resulting Numbers: [7, 89, 495] Generated Node #2: [7, 89, 495] from Operation: 55*9=495 Current State: 58:[7, 89, 495], Operations: ['55*9=495'] Exploring Operation: 495-89=406, Resulting Numbers: [7, 406] Generated Node #3: [7, 406] from Operation: 495-89=406 Current State: 58:[7, 406], Operations: ['55*9=495', '495-89=406'] Exploring Operation: 406/7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 70, 61, 77, 39 ]
20
[ "61-39=22", "70*22=1540", "1540/77=20" ]
Current State: 20:[70, 61, 77, 39], Operations: [] Exploring Operation: 61-39=22, Resulting Numbers: [70, 77, 22] Generated Node #2: [70, 77, 22] from Operation: 61-39=22 Current State: 20:[70, 77, 22], Operations: ['61-39=22'] Exploring Operation: 70*22=1540, Resulting Numbers: [77, 1540] Generated Node #3: [77, 1540] from Operation: 70*22=1540 Current State: 20:[77, 1540], Operations: ['61-39=22', '70*22=1540'] Exploring Operation: 1540/77=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 97, 95, 61, 10 ]
69
[ "97-95=2", "61+10=71", "71-2=69" ]
Current State: 69:[97, 95, 61, 10], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [61, 10, 2] Generated Node #2: [61, 10, 2] from Operation: 97-95=2 Current State: 69:[61, 10, 2], Operations: ['97-95=2'] Exploring Operation: 61+10=71, Resulting Numbers: [2, 71] Generated Node #3: [2, 71] from Operation: 61+10=71 Current State: 69:[2, 71], Operations: ['97-95=2', '61+10=71'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 47, 3, 3, 5 ]
41
[ "47-5=42", "3/3=1", "42-1=41" ]
Current State: 41:[47, 3, 3, 5], Operations: [] Exploring Operation: 47-5=42, Resulting Numbers: [3, 3, 42] Generated Node #2: [3, 3, 42] from Operation: 47-5=42 Current State: 41:[3, 3, 42], Operations: ['47-5=42'] Exploring Operation: 3/3=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 3/3=1 Current State: 41:[42, 1], Operations: ['47-5=42', '3/3=1'] Exploring Operation: 42-1=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 29, 12, 2, 13 ]
10
[ "29-13=16", "12/2=6", "16-6=10" ]
Current State: 10:[29, 12, 2, 13], Operations: [] Exploring Operation: 29-13=16, Resulting Numbers: [12, 2, 16] Generated Node #2: [12, 2, 16] from Operation: 29-13=16 Current State: 10:[12, 2, 16], Operations: ['29-13=16'] Exploring Operation: 12/2=6, Resulting Numbers: [16, 6] Generated Node #3: [16, 6] from Operation: 12/2=6 Current State: 10:[16, 6], Operations: ['29-13=16', '12/2=6'] Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 52, 33, 64, 78 ]
99
[ "52+33=85", "78-64=14", "85+14=99" ]
Current State: 99:[52, 33, 64, 78], Operations: [] Exploring Operation: 52+33=85, Resulting Numbers: [64, 78, 85] Generated Node #2: [64, 78, 85] from Operation: 52+33=85 Current State: 99:[64, 78, 85], Operations: ['52+33=85'] Exploring Operation: 78-64=14, Resulting Numbers: [85, 14] Generated Node #3: [85, 14] from Operation: 78-64=14 Current State: 99:[85, 14], Operations: ['52+33=85', '78-64=14'] Exploring Operation: 85+14=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 20, 36, 3, 96 ]
48
[ "36-20=16", "96/3=32", "16+32=48" ]
Current State: 48:[20, 36, 3, 96], Operations: [] Exploring Operation: 36-20=16, Resulting Numbers: [3, 96, 16] Generated Node #2: [3, 96, 16] from Operation: 36-20=16 Current State: 48:[3, 96, 16], Operations: ['36-20=16'] Exploring Operation: 96/3=32, Resulting Numbers: [16, 32] Generated Node #3: [16, 32] from Operation: 96/3=32 Current State: 48:[16, 32], Operations: ['36-20=16', '96/3=32'] Exploring Operation: 16+32=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 14, 73, 20, 53 ]
29
[ "73+53=126", "126/14=9", "20+9=29" ]
Current State: 29:[14, 73, 20, 53], Operations: [] Exploring Operation: 73+53=126, Resulting Numbers: [14, 20, 126] Generated Node #2: [14, 20, 126] from Operation: 73+53=126 Current State: 29:[14, 20, 126], Operations: ['73+53=126'] Exploring Operation: 126/14=9, Resulting Numbers: [20, 9] Generated Node #3: [20, 9] from Operation: 126/14=9 Current State: 29:[20, 9], Operations: ['73+53=126', '126/14=9'] Exploring Operation: 20+9=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 63, 3, 40, 15 ]
71
[ "3*40=120", "120/15=8", "63+8=71" ]
Current State: 71:[63, 3, 40, 15], Operations: [] Exploring Operation: 3*40=120, Resulting Numbers: [63, 15, 120] Generated Node #2: [63, 15, 120] from Operation: 3*40=120 Current State: 71:[63, 15, 120], Operations: ['3*40=120'] Exploring Operation: 120/15=8, Resulting Numbers: [63, 8] Generated Node #3: [63, 8] from Operation: 120/15=8 Current State: 71:[63, 8], Operations: ['3*40=120', '120/15=8'] Exploring Operation: 63+8=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 68, 57, 32, 57 ]
32
[ "57-57=0", "68*0=0", "32+0=32" ]
Current State: 32:[68, 57, 32, 57], Operations: [] Exploring Operation: 57-57=0, Resulting Numbers: [68, 32, 0] Generated Node #2: [68, 32, 0] from Operation: 57-57=0 Current State: 32:[68, 32, 0], Operations: ['57-57=0'] Exploring Operation: 68*0=0, Resulting Numbers: [32, 0] Generated Node #3: [32, 0] from Operation: 68*0=0 Current State: 32:[32, 0], Operations: ['57-57=0', '68*0=0'] Exploring Operation: 32+0=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 2, 29, 62, 39 ]
78
[ "2+29=31", "62*39=2418", "2418/31=78" ]
Current State: 78:[2, 29, 62, 39], Operations: [] Exploring Operation: 2+29=31, Resulting Numbers: [62, 39, 31] Generated Node #2: [62, 39, 31] from Operation: 2+29=31 Current State: 78:[62, 39, 31], Operations: ['2+29=31'] Exploring Operation: 62*39=2418, Resulting Numbers: [31, 2418] Generated Node #3: [31, 2418] from Operation: 62*39=2418 Current State: 78:[31, 2418], Operations: ['2+29=31', '62*39=2418'] Exploring Operation: 2418/31=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 70, 64, 20, 17 ]
97
[ "70+64=134", "20+17=37", "134-37=97" ]
Current State: 97:[70, 64, 20, 17], Operations: [] Exploring Operation: 70+64=134, Resulting Numbers: [20, 17, 134] Generated Node #2: [20, 17, 134] from Operation: 70+64=134 Current State: 97:[20, 17, 134], Operations: ['70+64=134'] Exploring Operation: 20+17=37, Resulting Numbers: [134, 37] Generated Node #3: [134, 37] from Operation: 20+17=37 Current State: 97:[134, 37], Operations: ['70+64=134', '20+17=37'] Exploring Operation: 134-37=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 68, 80, 30, 86 ]
92
[ "68+80=148", "86-30=56", "148-56=92" ]
Current State: 92:[68, 80, 30, 86], Operations: [] Exploring Operation: 68+80=148, Resulting Numbers: [30, 86, 148] Generated Node #2: [30, 86, 148] from Operation: 68+80=148 Current State: 92:[30, 86, 148], Operations: ['68+80=148'] Exploring Operation: 86-30=56, Resulting Numbers: [148, 56] Generated Node #3: [148, 56] from Operation: 86-30=56 Current State: 92:[148, 56], Operations: ['68+80=148', '86-30=56'] Exploring Operation: 148-56=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 71, 43, 82, 2 ]
98
[ "71+43=114", "82+114=196", "196/2=98" ]
Current State: 98:[71, 43, 82, 2], Operations: [] Exploring Operation: 71+43=114, Resulting Numbers: [82, 2, 114] Generated Node #2: [82, 2, 114] from Operation: 71+43=114 Current State: 98:[82, 2, 114], Operations: ['71+43=114'] Exploring Operation: 82+114=196, Resulting Numbers: [2, 196] Generated Node #3: [2, 196] from Operation: 82+114=196 Current State: 98:[2, 196], Operations: ['71+43=114', '82+114=196'] Exploring Operation: 196/2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 62, 94, 91, 48 ]
11
[ "94-62=32", "91-48=43", "43-32=11" ]
Current State: 11:[62, 94, 91, 48], Operations: [] Exploring Operation: 94-62=32, Resulting Numbers: [91, 48, 32] Generated Node #2: [91, 48, 32] from Operation: 94-62=32 Current State: 11:[91, 48, 32], Operations: ['94-62=32'] Exploring Operation: 91-48=43, Resulting Numbers: [32, 43] Generated Node #3: [32, 43] from Operation: 91-48=43 Current State: 11:[32, 43], Operations: ['94-62=32', '91-48=43'] Exploring Operation: 43-32=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 45, 48, 74, 15 ]
86
[ "48-45=3", "74+15=89", "89-3=86" ]
Current State: 86:[45, 48, 74, 15], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [74, 15, 3] Generated Node #2: [74, 15, 3] from Operation: 48-45=3 Current State: 86:[74, 15, 3], Operations: ['48-45=3'] Exploring Operation: 74+15=89, Resulting Numbers: [3, 89] Generated Node #3: [3, 89] from Operation: 74+15=89 Current State: 86:[3, 89], Operations: ['48-45=3', '74+15=89'] Exploring Operation: 89-3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 81, 94, 2, 65 ]
26
[ "94-81=13", "65-13=52", "52/2=26" ]
Current State: 26:[81, 94, 2, 65], Operations: [] Exploring Operation: 94-81=13, Resulting Numbers: [2, 65, 13] Generated Node #2: [2, 65, 13] from Operation: 94-81=13 Current State: 26:[2, 65, 13], Operations: ['94-81=13'] Exploring Operation: 65-13=52, Resulting Numbers: [2, 52] Generated Node #3: [2, 52] from Operation: 65-13=52 Current State: 26:[2, 52], Operations: ['94-81=13', '65-13=52'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 62, 4, 1, 87 ]
33
[ "4-1=3", "87/3=29", "62-29=33" ]
Current State: 33:[62, 4, 1, 87], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [62, 87, 3] Generated Node #2: [62, 87, 3] from Operation: 4-1=3 Current State: 33:[62, 87, 3], Operations: ['4-1=3'] Exploring Operation: 87/3=29, Resulting Numbers: [62, 29] Generated Node #3: [62, 29] from Operation: 87/3=29 Current State: 33:[62, 29], Operations: ['4-1=3', '87/3=29'] Exploring Operation: 62-29=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 9, 24, 61, 20 ]
15
[ "61+20=81", "81/9=9", "24-9=15" ]
Current State: 15:[9, 24, 61, 20], Operations: [] Exploring Operation: 61+20=81, Resulting Numbers: [9, 24, 81] Generated Node #2: [9, 24, 81] from Operation: 61+20=81 Current State: 15:[9, 24, 81], Operations: ['61+20=81'] Exploring Operation: 81/9=9, Resulting Numbers: [24, 9] Generated Node #3: [24, 9] from Operation: 81/9=9 Current State: 15:[24, 9], Operations: ['61+20=81', '81/9=9'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 10, 17, 56 ]
21
[ "4+10=14", "56/14=4", "17+4=21" ]
Current State: 21:[4, 10, 17, 56], Operations: [] Exploring Operation: 4+10=14, Resulting Numbers: [17, 56, 14] Generated Node #2: [17, 56, 14] from Operation: 4+10=14 Current State: 21:[17, 56, 14], Operations: ['4+10=14'] Exploring Operation: 56/14=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 56/14=4 Current State: 21:[17, 4], Operations: ['4+10=14', '56/14=4'] Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 1, 25, 57, 5 ]
52
[ "1*25=25", "25/5=5", "57-5=52" ]
Current State: 52:[1, 25, 57, 5], Operations: [] Exploring Operation: 1*25=25, Resulting Numbers: [57, 5, 25] Generated Node #2: [57, 5, 25] from Operation: 1*25=25 Current State: 52:[57, 5, 25], Operations: ['1*25=25'] Exploring Operation: 25/5=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 25/5=5 Current State: 52:[57, 5], Operations: ['1*25=25', '25/5=5'] Exploring Operation: 57-5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 27, 87, 72, 85 ]
47
[ "87-27=60", "85-72=13", "60-13=47" ]
Current State: 47:[27, 87, 72, 85], Operations: [] Exploring Operation: 87-27=60, Resulting Numbers: [72, 85, 60] Generated Node #2: [72, 85, 60] from Operation: 87-27=60 Current State: 47:[72, 85, 60], Operations: ['87-27=60'] Exploring Operation: 85-72=13, Resulting Numbers: [60, 13] Generated Node #3: [60, 13] from Operation: 85-72=13 Current State: 47:[60, 13], Operations: ['87-27=60', '85-72=13'] Exploring Operation: 60-13=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 44, 2, 83, 43 ]
91
[ "44+43=87", "2*87=174", "174-83=91" ]
Current State: 91:[44, 2, 83, 43], Operations: [] Exploring Operation: 44+43=87, Resulting Numbers: [2, 83, 87] Generated Node #2: [2, 83, 87] from Operation: 44+43=87 Current State: 91:[2, 83, 87], Operations: ['44+43=87'] Exploring Operation: 2*87=174, Resulting Numbers: [83, 174] Generated Node #3: [83, 174] from Operation: 2*87=174 Current State: 91:[83, 174], Operations: ['44+43=87', '2*87=174'] Exploring Operation: 174-83=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 77, 70, 84, 91 ]
97
[ "77-70=7", "91/7=13", "84+13=97" ]
Current State: 97:[77, 70, 84, 91], Operations: [] Exploring Operation: 77-70=7, Resulting Numbers: [84, 91, 7] Generated Node #2: [84, 91, 7] from Operation: 77-70=7 Current State: 97:[84, 91, 7], Operations: ['77-70=7'] Exploring Operation: 91/7=13, Resulting Numbers: [84, 13] Generated Node #3: [84, 13] from Operation: 91/7=13 Current State: 97:[84, 13], Operations: ['77-70=7', '91/7=13'] Exploring Operation: 84+13=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 5, 14, 66, 23 ]
92
[ "5*14=70", "70-66=4", "23*4=92" ]
Current State: 92:[5, 14, 66, 23], Operations: [] Exploring Operation: 5*14=70, Resulting Numbers: [66, 23, 70] Generated Node #2: [66, 23, 70] from Operation: 5*14=70 Current State: 92:[66, 23, 70], Operations: ['5*14=70'] Exploring Operation: 70-66=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 70-66=4 Current State: 92:[23, 4], Operations: ['5*14=70', '70-66=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 49, 7, 89, 25 ]
58
[ "49+7=56", "89+25=114", "114-56=58" ]
Current State: 58:[49, 7, 89, 25], Operations: [] Exploring Operation: 49+7=56, Resulting Numbers: [89, 25, 56] Generated Node #2: [89, 25, 56] from Operation: 49+7=56 Current State: 58:[89, 25, 56], Operations: ['49+7=56'] Exploring Operation: 89+25=114, Resulting Numbers: [56, 114] Generated Node #3: [56, 114] from Operation: 89+25=114 Current State: 58:[56, 114], Operations: ['49+7=56', '89+25=114'] Exploring Operation: 114-56=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 98, 9, 6, 18 ]
77
[ "98-9=89", "18-6=12", "89-12=77" ]
Current State: 77:[98, 9, 6, 18], Operations: [] Exploring Operation: 98-9=89, Resulting Numbers: [6, 18, 89] Generated Node #2: [6, 18, 89] from Operation: 98-9=89 Current State: 77:[6, 18, 89], Operations: ['98-9=89'] Exploring Operation: 18-6=12, Resulting Numbers: [89, 12] Generated Node #3: [89, 12] from Operation: 18-6=12 Current State: 77:[89, 12], Operations: ['98-9=89', '18-6=12'] Exploring Operation: 89-12=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4