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
[ 66, 33, 81, 64 ]
15
[ "66/33=2", "81-64=17", "17-2=15" ]
Current State: 15:[66, 33, 81, 64], Operations: [] Exploring Operation: 66/33=2, Resulting Numbers: [81, 64, 2] Generated Node #2: [81, 64, 2] from Operation: 66/33=2 Current State: 15:[81, 64, 2], Operations: ['66/33=2'] Exploring Operation: 81-64=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 81-64=17 Current State: 15:[2, 17], Operations: ['66/33=2', '81-64=17'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 75, 95, 8, 52 ]
24
[ "95-75=20", "52-8=44", "44-20=24" ]
Current State: 24:[75, 95, 8, 52], Operations: [] Exploring Operation: 95-75=20, Resulting Numbers: [8, 52, 20] Generated Node #2: [8, 52, 20] from Operation: 95-75=20 Current State: 24:[8, 52, 20], Operations: ['95-75=20'] Exploring Operation: 52-8=44, Resulting Numbers: [20, 44] Generated Node #3: [20, 44] from Operation: 52-8=44 Current State: 24:[20, 44], Operations: ['95-75=20', '52-8=44'] Exploring Operation: 44-20=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 24, 18, 33, 13 ]
52
[ "24-18=6", "33+13=46", "6+46=52" ]
Current State: 52:[24, 18, 33, 13], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [33, 13, 6] Generated Node #2: [33, 13, 6] from Operation: 24-18=6 Current State: 52:[33, 13, 6], Operations: ['24-18=6'] Exploring Operation: 33+13=46, Resulting Numbers: [6, 46] Generated Node #3: [6, 46] from Operation: 33+13=46 Current State: 52:[6, 46], Operations: ['24-18=6', '33+13=46'] Exploring Operation: 6+46=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 55, 27, 34, 67 ]
73
[ "55-27=28", "34+67=101", "101-28=73" ]
Current State: 73:[55, 27, 34, 67], Operations: [] Exploring Operation: 55-27=28, Resulting Numbers: [34, 67, 28] Generated Node #2: [34, 67, 28] from Operation: 55-27=28 Current State: 73:[34, 67, 28], Operations: ['55-27=28'] Exploring Operation: 34+67=101, Resulting Numbers: [28, 101] Generated Node #3: [28, 101] from Operation: 34+67=101 Current State: 73:[28, 101], Operations: ['55-27=28', '34+67=101'] Exploring Operation: 101-28=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 11, 2, 8, 66 ]
48
[ "8+66=74", "74/2=37", "11+37=48" ]
Current State: 48:[11, 2, 8, 66], Operations: [] Exploring Operation: 8+66=74, Resulting Numbers: [11, 2, 74] Generated Node #2: [11, 2, 74] from Operation: 8+66=74 Current State: 48:[11, 2, 74], Operations: ['8+66=74'] Exploring Operation: 74/2=37, Resulting Numbers: [11, 37] Generated Node #3: [11, 37] from Operation: 74/2=37 Current State: 48:[11, 37], Operations: ['8+66=74', '74/2=37'] Exploring Operation: 11+37=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 8, 24, 16, 74 ]
13
[ "16/8=2", "74/2=37", "37-24=13" ]
Current State: 13:[8, 24, 16, 74], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [24, 74, 2] Generated Node #2: [24, 74, 2] from Operation: 16/8=2 Current State: 13:[24, 74, 2], Operations: ['16/8=2'] Exploring Operation: 74/2=37, Resulting Numbers: [24, 37] Generated Node #3: [24, 37] from Operation: 74/2=37 Current State: 13:[24, 37], Operations: ['16/8=2', '74/2=37'] Exploring Operation: 37-24=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 34, 20, 25, 90 ]
79
[ "34-20=14", "90-25=65", "14+65=79" ]
Current State: 79:[34, 20, 25, 90], Operations: [] Exploring Operation: 34-20=14, Resulting Numbers: [25, 90, 14] Generated Node #2: [25, 90, 14] from Operation: 34-20=14 Current State: 79:[25, 90, 14], Operations: ['34-20=14'] Exploring Operation: 90-25=65, Resulting Numbers: [14, 65] Generated Node #3: [14, 65] from Operation: 90-25=65 Current State: 79:[14, 65], Operations: ['34-20=14', '90-25=65'] Exploring Operation: 14+65=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 32, 3, 55, 8 ]
53
[ "55+8=63", "63/3=21", "32+21=53" ]
Current State: 53:[32, 3, 55, 8], Operations: [] Exploring Operation: 55+8=63, Resulting Numbers: [32, 3, 63] Generated Node #2: [32, 3, 63] from Operation: 55+8=63 Current State: 53:[32, 3, 63], Operations: ['55+8=63'] Exploring Operation: 63/3=21, Resulting Numbers: [32, 21] Generated Node #3: [32, 21] from Operation: 63/3=21 Current State: 53:[32, 21], Operations: ['55+8=63', '63/3=21'] Exploring Operation: 32+21=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 34, 91, 9, 10 ]
58
[ "91-34=57", "10-9=1", "57+1=58" ]
Current State: 58:[34, 91, 9, 10], Operations: [] Exploring Operation: 91-34=57, Resulting Numbers: [9, 10, 57] Generated Node #2: [9, 10, 57] from Operation: 91-34=57 Current State: 58:[9, 10, 57], Operations: ['91-34=57'] Exploring Operation: 10-9=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 10-9=1 Current State: 58:[57, 1], Operations: ['91-34=57', '10-9=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 3, 75, 24, 80 ]
22
[ "3+75=78", "80-24=56", "78-56=22" ]
Current State: 22:[3, 75, 24, 80], Operations: [] Exploring Operation: 3+75=78, Resulting Numbers: [24, 80, 78] Generated Node #2: [24, 80, 78] from Operation: 3+75=78 Current State: 22:[24, 80, 78], Operations: ['3+75=78'] Exploring Operation: 80-24=56, Resulting Numbers: [78, 56] Generated Node #3: [78, 56] from Operation: 80-24=56 Current State: 22:[78, 56], Operations: ['3+75=78', '80-24=56'] Exploring Operation: 78-56=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 72, 65, 20, 2 ]
70
[ "72-65=7", "20/2=10", "7*10=70" ]
Current State: 70:[72, 65, 20, 2], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [20, 2, 7] Generated Node #2: [20, 2, 7] from Operation: 72-65=7 Current State: 70:[20, 2, 7], Operations: ['72-65=7'] Exploring Operation: 20/2=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 20/2=10 Current State: 70:[7, 10], Operations: ['72-65=7', '20/2=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 10, 71, 80, 20 ]
81
[ "80+20=100", "100/10=10", "71+10=81" ]
Current State: 81:[10, 71, 80, 20], Operations: [] Exploring Operation: 80+20=100, Resulting Numbers: [10, 71, 100] Generated Node #2: [10, 71, 100] from Operation: 80+20=100 Current State: 81:[10, 71, 100], Operations: ['80+20=100'] Exploring Operation: 100/10=10, Resulting Numbers: [71, 10] Generated Node #3: [71, 10] from Operation: 100/10=10 Current State: 81:[71, 10], Operations: ['80+20=100', '100/10=10'] Exploring Operation: 71+10=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 98, 27, 81, 5 ]
56
[ "98+27=125", "125/5=25", "81-25=56" ]
Current State: 56:[98, 27, 81, 5], Operations: [] Exploring Operation: 98+27=125, Resulting Numbers: [81, 5, 125] Generated Node #2: [81, 5, 125] from Operation: 98+27=125 Current State: 56:[81, 5, 125], Operations: ['98+27=125'] Exploring Operation: 125/5=25, Resulting Numbers: [81, 25] Generated Node #3: [81, 25] from Operation: 125/5=25 Current State: 56:[81, 25], Operations: ['98+27=125', '125/5=25'] Exploring Operation: 81-25=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 5, 90, 21, 29 ]
77
[ "90-5=85", "29-21=8", "85-8=77" ]
Current State: 77:[5, 90, 21, 29], Operations: [] Exploring Operation: 90-5=85, Resulting Numbers: [21, 29, 85] Generated Node #2: [21, 29, 85] from Operation: 90-5=85 Current State: 77:[21, 29, 85], Operations: ['90-5=85'] Exploring Operation: 29-21=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 29-21=8 Current State: 77:[85, 8], Operations: ['90-5=85', '29-21=8'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 95, 50, 18, 28 ]
35
[ "95-50=45", "28-18=10", "45-10=35" ]
Current State: 35:[95, 50, 18, 28], Operations: [] Exploring Operation: 95-50=45, Resulting Numbers: [18, 28, 45] Generated Node #2: [18, 28, 45] from Operation: 95-50=45 Current State: 35:[18, 28, 45], Operations: ['95-50=45'] Exploring Operation: 28-18=10, Resulting Numbers: [45, 10] Generated Node #3: [45, 10] from Operation: 28-18=10 Current State: 35:[45, 10], Operations: ['95-50=45', '28-18=10'] Exploring Operation: 45-10=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 33, 22, 26, 18 ]
63
[ "33+22=55", "26-18=8", "55+8=63" ]
Current State: 63:[33, 22, 26, 18], Operations: [] Exploring Operation: 33+22=55, Resulting Numbers: [26, 18, 55] Generated Node #2: [26, 18, 55] from Operation: 33+22=55 Current State: 63:[26, 18, 55], Operations: ['33+22=55'] Exploring Operation: 26-18=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 26-18=8 Current State: 63:[55, 8], Operations: ['33+22=55', '26-18=8'] Exploring Operation: 55+8=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 12, 24, 30, 19 ]
23
[ "24-12=12", "30-19=11", "12+11=23" ]
Current State: 23:[12, 24, 30, 19], Operations: [] Exploring Operation: 24-12=12, Resulting Numbers: [30, 19, 12] Generated Node #2: [30, 19, 12] from Operation: 24-12=12 Current State: 23:[30, 19, 12], Operations: ['24-12=12'] Exploring Operation: 30-19=11, Resulting Numbers: [12, 11] Generated Node #3: [12, 11] from Operation: 30-19=11 Current State: 23:[12, 11], Operations: ['24-12=12', '30-19=11'] Exploring Operation: 12+11=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 42, 51, 38, 48 ]
12
[ "42-38=4", "51-48=3", "4*3=12" ]
Current State: 12:[42, 51, 38, 48], Operations: [] Exploring Operation: 42-38=4, Resulting Numbers: [51, 48, 4] Generated Node #2: [51, 48, 4] from Operation: 42-38=4 Current State: 12:[51, 48, 4], Operations: ['42-38=4'] Exploring Operation: 51-48=3, Resulting Numbers: [4, 3] Generated Node #3: [4, 3] from Operation: 51-48=3 Current State: 12:[4, 3], Operations: ['42-38=4', '51-48=3'] Exploring Operation: 4*3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 61, 36, 32, 24 ]
35
[ "36-32=4", "24*4=96", "96-61=35" ]
Current State: 35:[61, 36, 32, 24], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [61, 24, 4] Generated Node #2: [61, 24, 4] from Operation: 36-32=4 Current State: 35:[61, 24, 4], Operations: ['36-32=4'] Exploring Operation: 24*4=96, Resulting Numbers: [61, 96] Generated Node #3: [61, 96] from Operation: 24*4=96 Current State: 35:[61, 96], Operations: ['36-32=4', '24*4=96'] Exploring Operation: 96-61=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 31, 61, 92, 62 ]
62
[ "31+61=92", "92+62=154", "154-92=62" ]
Current State: 62:[31, 61, 92, 62], Operations: [] Exploring Operation: 31+61=92, Resulting Numbers: [92, 62, 92] Generated Node #2: [92, 62, 92] from Operation: 31+61=92 Current State: 62:[92, 62, 92], Operations: ['31+61=92'] Exploring Operation: 92+62=154, Resulting Numbers: [154] 154,62 equal: Goal Reached Exploring Operation: 154-92=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 1, 65, 1, 3 ]
32
[ "65-1=64", "3-1=2", "64/2=32" ]
Current State: 32:[1, 65, 1, 3], Operations: [] Exploring Operation: 65-1=64, Resulting Numbers: [3, 64] Generated Node #2: [3, 64] from Operation: 65-1=64 Current State: 32:[3, 64], Operations: ['65-1=64'] Exploring Operation: 3-1=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 3-1=2 Current State: 32:[64, 2], Operations: ['65-1=64', '3-1=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 56, 47, 50, 93 ]
60
[ "56+47=103", "93-50=43", "103-43=60" ]
Current State: 60:[56, 47, 50, 93], Operations: [] Exploring Operation: 56+47=103, Resulting Numbers: [50, 93, 103] Generated Node #2: [50, 93, 103] from Operation: 56+47=103 Current State: 60:[50, 93, 103], Operations: ['56+47=103'] Exploring Operation: 93-50=43, Resulting Numbers: [103, 43] Generated Node #3: [103, 43] from Operation: 93-50=43 Current State: 60:[103, 43], Operations: ['56+47=103', '93-50=43'] Exploring Operation: 103-43=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 79, 70, 77, 9 ]
52
[ "79-77=2", "9*2=18", "70-18=52" ]
Current State: 52:[79, 70, 77, 9], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [70, 9, 2] Generated Node #2: [70, 9, 2] from Operation: 79-77=2 Current State: 52:[70, 9, 2], Operations: ['79-77=2'] Exploring Operation: 9*2=18, Resulting Numbers: [70, 18] Generated Node #3: [70, 18] from Operation: 9*2=18 Current State: 52:[70, 18], Operations: ['79-77=2', '9*2=18'] Exploring Operation: 70-18=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 10, 13, 30, 9 ]
48
[ "30/10=3", "13*3=39", "9+39=48" ]
Current State: 48:[10, 13, 30, 9], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [13, 9, 3] Generated Node #2: [13, 9, 3] from Operation: 30/10=3 Current State: 48:[13, 9, 3], Operations: ['30/10=3'] Exploring Operation: 13*3=39, Resulting Numbers: [9, 39] Generated Node #3: [9, 39] from Operation: 13*3=39 Current State: 48:[9, 39], Operations: ['30/10=3', '13*3=39'] Exploring Operation: 9+39=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 14, 21, 39, 62 ]
49
[ "14*62=868", "21*39=819", "868-819=49" ]
Current State: 49:[14, 21, 39, 62], Operations: [] Exploring Operation: 14*62=868, Resulting Numbers: [21, 39, 868] Generated Node #2: [21, 39, 868] from Operation: 14*62=868 Current State: 49:[21, 39, 868], Operations: ['14*62=868'] Exploring Operation: 21*39=819, Resulting Numbers: [868, 819] Generated Node #3: [868, 819] from Operation: 21*39=819 Current State: 49:[868, 819], Operations: ['14*62=868', '21*39=819'] Exploring Operation: 868-819=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 34, 23, 4, 27 ]
31
[ "34+27=61", "23*4=92", "92-61=31" ]
Current State: 31:[34, 23, 4, 27], Operations: [] Exploring Operation: 34+27=61, Resulting Numbers: [23, 4, 61] Generated Node #2: [23, 4, 61] from Operation: 34+27=61 Current State: 31:[23, 4, 61], Operations: ['34+27=61'] Exploring Operation: 23*4=92, Resulting Numbers: [61, 92] Generated Node #3: [61, 92] from Operation: 23*4=92 Current State: 31:[61, 92], Operations: ['34+27=61', '23*4=92'] Exploring Operation: 92-61=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 46, 63, 87, 74 ]
52
[ "46+63=109", "87+74=161", "161-109=52" ]
Current State: 52:[46, 63, 87, 74], Operations: [] Exploring Operation: 46+63=109, Resulting Numbers: [87, 74, 109] Generated Node #2: [87, 74, 109] from Operation: 46+63=109 Current State: 52:[87, 74, 109], Operations: ['46+63=109'] Exploring Operation: 87+74=161, Resulting Numbers: [109, 161] Generated Node #3: [109, 161] from Operation: 87+74=161 Current State: 52:[109, 161], Operations: ['46+63=109', '87+74=161'] Exploring Operation: 161-109=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 95, 77, 54, 35 ]
37
[ "95-77=18", "54-35=19", "18+19=37" ]
Current State: 37:[95, 77, 54, 35], Operations: [] Exploring Operation: 95-77=18, Resulting Numbers: [54, 35, 18] Generated Node #2: [54, 35, 18] from Operation: 95-77=18 Current State: 37:[54, 35, 18], Operations: ['95-77=18'] Exploring Operation: 54-35=19, Resulting Numbers: [18, 19] Generated Node #3: [18, 19] from Operation: 54-35=19 Current State: 37:[18, 19], Operations: ['95-77=18', '54-35=19'] Exploring Operation: 18+19=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 47, 22, 59, 45 ]
96
[ "47-45=2", "59*2=118", "118-22=96" ]
Current State: 96:[47, 22, 59, 45], Operations: [] Exploring Operation: 47-45=2, Resulting Numbers: [22, 59, 2] Generated Node #2: [22, 59, 2] from Operation: 47-45=2 Current State: 96:[22, 59, 2], Operations: ['47-45=2'] Exploring Operation: 59*2=118, Resulting Numbers: [22, 118] Generated Node #3: [22, 118] from Operation: 59*2=118 Current State: 96:[22, 118], Operations: ['47-45=2', '59*2=118'] Exploring Operation: 118-22=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 92, 36, 39, 2 ]
71
[ "92-39=53", "36/2=18", "53+18=71" ]
Current State: 71:[92, 36, 39, 2], Operations: [] Exploring Operation: 92-39=53, Resulting Numbers: [36, 2, 53] Generated Node #2: [36, 2, 53] from Operation: 92-39=53 Current State: 71:[36, 2, 53], Operations: ['92-39=53'] Exploring Operation: 36/2=18, Resulting Numbers: [53, 18] Generated Node #3: [53, 18] from Operation: 36/2=18 Current State: 71:[53, 18], Operations: ['92-39=53', '36/2=18'] Exploring Operation: 53+18=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 33, 39, 60, 26 ]
92
[ "39-33=6", "60+26=86", "6+86=92" ]
Current State: 92:[33, 39, 60, 26], Operations: [] Exploring Operation: 39-33=6, Resulting Numbers: [60, 26, 6] Generated Node #2: [60, 26, 6] from Operation: 39-33=6 Current State: 92:[60, 26, 6], Operations: ['39-33=6'] Exploring Operation: 60+26=86, Resulting Numbers: [6, 86] Generated Node #3: [6, 86] from Operation: 60+26=86 Current State: 92:[6, 86], Operations: ['39-33=6', '60+26=86'] Exploring Operation: 6+86=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 90, 8, 27, 98 ]
91
[ "98-90=8", "8*8=64", "27+64=91" ]
Current State: 91:[90, 8, 27, 98], Operations: [] Exploring Operation: 98-90=8, Resulting Numbers: [8, 27, 8] Generated Node #2: [8, 27, 8] from Operation: 98-90=8 Current State: 91:[8, 27, 8], Operations: ['98-90=8'] Exploring Operation: 8*8=64, Resulting Numbers: [27, 64] Generated Node #3: [27, 64] from Operation: 8*8=64 Current State: 91:[27, 64], Operations: ['98-90=8', '8*8=64'] Exploring Operation: 27+64=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 18, 80, 14, 11 ]
26
[ "14-11=3", "18*3=54", "80-54=26" ]
Current State: 26:[18, 80, 14, 11], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [18, 80, 3] Generated Node #2: [18, 80, 3] from Operation: 14-11=3 Current State: 26:[18, 80, 3], Operations: ['14-11=3'] Exploring Operation: 18*3=54, Resulting Numbers: [80, 54] Generated Node #3: [80, 54] from Operation: 18*3=54 Current State: 26:[80, 54], Operations: ['14-11=3', '18*3=54'] Exploring Operation: 80-54=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 34, 60, 46, 46 ]
64
[ "46*46=2116", "60+2116=2176", "2176/34=64" ]
Current State: 64:[34, 60, 46, 46], Operations: [] Exploring Operation: 46*46=2116, Resulting Numbers: [34, 60, 2116] Generated Node #2: [34, 60, 2116] from Operation: 46*46=2116 Current State: 64:[34, 60, 2116], Operations: ['46*46=2116'] Exploring Operation: 60+2116=2176, Resulting Numbers: [34, 2176] Generated Node #3: [34, 2176] from Operation: 60+2116=2176 Current State: 64:[34, 2176], Operations: ['46*46=2116', '60+2116=2176'] Exploring Operation: 2176/34=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 68, 75, 13, 75 ]
54
[ "68-13=55", "75/75=1", "55-1=54" ]
Current State: 54:[68, 75, 13, 75], Operations: [] Exploring Operation: 68-13=55, Resulting Numbers: [75, 75, 55] Generated Node #2: [75, 75, 55] from Operation: 68-13=55 Current State: 54:[75, 75, 55], Operations: ['68-13=55'] Exploring Operation: 75/75=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 75/75=1 Current State: 54:[55, 1], Operations: ['68-13=55', '75/75=1'] Exploring Operation: 55-1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 74, 8, 57 ]
78
[ "74-61=13", "8+57=65", "13+65=78" ]
Current State: 78:[61, 74, 8, 57], Operations: [] Exploring Operation: 74-61=13, Resulting Numbers: [8, 57, 13] Generated Node #2: [8, 57, 13] from Operation: 74-61=13 Current State: 78:[8, 57, 13], Operations: ['74-61=13'] Exploring Operation: 8+57=65, Resulting Numbers: [13, 65] Generated Node #3: [13, 65] from Operation: 8+57=65 Current State: 78:[13, 65], Operations: ['74-61=13', '8+57=65'] Exploring Operation: 13+65=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 75, 28, 1, 47 ]
94
[ "75-28=47", "1*47=47", "47+47=94" ]
Current State: 94:[75, 28, 1, 47], Operations: [] Exploring Operation: 75-28=47, Resulting Numbers: [1, 47, 47] Generated Node #2: [1, 47, 47] from Operation: 75-28=47 Current State: 94:[1, 47, 47], Operations: ['75-28=47'] Exploring Operation: 1*47=47, Resulting Numbers: [47] 47,94 equal: Goal Reached Exploring Operation: 47+47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 10, 91, 12, 86 ]
83
[ "10*91=910", "86+910=996", "996/12=83" ]
Current State: 83:[10, 91, 12, 86], Operations: [] Exploring Operation: 10*91=910, Resulting Numbers: [12, 86, 910] Generated Node #2: [12, 86, 910] from Operation: 10*91=910 Current State: 83:[12, 86, 910], Operations: ['10*91=910'] Exploring Operation: 86+910=996, Resulting Numbers: [12, 996] Generated Node #3: [12, 996] from Operation: 86+910=996 Current State: 83:[12, 996], Operations: ['10*91=910', '86+910=996'] Exploring Operation: 996/12=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 35, 80, 30, 55 ]
40
[ "80-35=45", "30+55=85", "85-45=40" ]
Current State: 40:[35, 80, 30, 55], Operations: [] Exploring Operation: 80-35=45, Resulting Numbers: [30, 55, 45] Generated Node #2: [30, 55, 45] from Operation: 80-35=45 Current State: 40:[30, 55, 45], Operations: ['80-35=45'] Exploring Operation: 30+55=85, Resulting Numbers: [45, 85] Generated Node #3: [45, 85] from Operation: 30+55=85 Current State: 40:[45, 85], Operations: ['80-35=45', '30+55=85'] Exploring Operation: 85-45=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 35, 69, 29, 56 ]
41
[ "35*56=1960", "69*29=2001", "2001-1960=41" ]
Current State: 41:[35, 69, 29, 56], Operations: [] Exploring Operation: 35*56=1960, Resulting Numbers: [69, 29, 1960] Generated Node #2: [69, 29, 1960] from Operation: 35*56=1960 Current State: 41:[69, 29, 1960], Operations: ['35*56=1960'] Exploring Operation: 69*29=2001, Resulting Numbers: [1960, 2001] Generated Node #3: [1960, 2001] from Operation: 69*29=2001 Current State: 41:[1960, 2001], Operations: ['35*56=1960', '69*29=2001'] Exploring Operation: 2001-1960=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 71, 42, 29, 79 ]
79
[ "71-42=29", "29+79=108", "108-29=79" ]
Current State: 79:[71, 42, 29, 79], Operations: [] Exploring Operation: 71-42=29, Resulting Numbers: [29, 79, 29] Generated Node #2: [29, 79, 29] from Operation: 71-42=29 Current State: 79:[29, 79, 29], Operations: ['71-42=29'] Exploring Operation: 29+79=108, Resulting Numbers: [108] 108,79 equal: Goal Reached Exploring Operation: 108-29=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 4, 63, 31, 49 ]
49
[ "4+63=67", "49-31=18", "67-18=49" ]
Current State: 49:[4, 63, 31, 49], Operations: [] Exploring Operation: 4+63=67, Resulting Numbers: [31, 49, 67] Generated Node #2: [31, 49, 67] from Operation: 4+63=67 Current State: 49:[31, 49, 67], Operations: ['4+63=67'] Exploring Operation: 49-31=18, Resulting Numbers: [67, 18] Generated Node #3: [67, 18] from Operation: 49-31=18 Current State: 49:[67, 18], Operations: ['4+63=67', '49-31=18'] Exploring Operation: 67-18=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 55, 63, 4, 52 ]
56
[ "63-55=8", "52-4=48", "8+48=56" ]
Current State: 56:[55, 63, 4, 52], Operations: [] Exploring Operation: 63-55=8, Resulting Numbers: [4, 52, 8] Generated Node #2: [4, 52, 8] from Operation: 63-55=8 Current State: 56:[4, 52, 8], Operations: ['63-55=8'] Exploring Operation: 52-4=48, Resulting Numbers: [8, 48] Generated Node #3: [8, 48] from Operation: 52-4=48 Current State: 56:[8, 48], Operations: ['63-55=8', '52-4=48'] Exploring Operation: 8+48=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 55, 37, 60, 12 ]
40
[ "55-37=18", "60*12=720", "720/18=40" ]
Current State: 40:[55, 37, 60, 12], Operations: [] Exploring Operation: 55-37=18, Resulting Numbers: [60, 12, 18] Generated Node #2: [60, 12, 18] from Operation: 55-37=18 Current State: 40:[60, 12, 18], Operations: ['55-37=18'] Exploring Operation: 60*12=720, Resulting Numbers: [18, 720] Generated Node #3: [18, 720] from Operation: 60*12=720 Current State: 40:[18, 720], Operations: ['55-37=18', '60*12=720'] Exploring Operation: 720/18=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 13, 44, 61, 2 ]
53
[ "13+44=57", "2*57=114", "114-61=53" ]
Current State: 53:[13, 44, 61, 2], Operations: [] Exploring Operation: 13+44=57, Resulting Numbers: [61, 2, 57] Generated Node #2: [61, 2, 57] from Operation: 13+44=57 Current State: 53:[61, 2, 57], Operations: ['13+44=57'] Exploring Operation: 2*57=114, Resulting Numbers: [61, 114] Generated Node #3: [61, 114] from Operation: 2*57=114 Current State: 53:[61, 114], Operations: ['13+44=57', '2*57=114'] Exploring Operation: 114-61=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 75, 1, 65, 4 ]
59
[ "65-1=64", "64/4=16", "75-16=59" ]
Current State: 59:[75, 1, 65, 4], Operations: [] Exploring Operation: 65-1=64, Resulting Numbers: [75, 4, 64] Generated Node #2: [75, 4, 64] from Operation: 65-1=64 Current State: 59:[75, 4, 64], Operations: ['65-1=64'] Exploring Operation: 64/4=16, Resulting Numbers: [75, 16] Generated Node #3: [75, 16] from Operation: 64/4=16 Current State: 59:[75, 16], Operations: ['65-1=64', '64/4=16'] Exploring Operation: 75-16=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 22, 2, 42, 96 ]
74
[ "22-2=20", "96-42=54", "20+54=74" ]
Current State: 74:[22, 2, 42, 96], Operations: [] Exploring Operation: 22-2=20, Resulting Numbers: [42, 96, 20] Generated Node #2: [42, 96, 20] from Operation: 22-2=20 Current State: 74:[42, 96, 20], Operations: ['22-2=20'] Exploring Operation: 96-42=54, Resulting Numbers: [20, 54] Generated Node #3: [20, 54] from Operation: 96-42=54 Current State: 74:[20, 54], Operations: ['22-2=20', '96-42=54'] Exploring Operation: 20+54=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 9, 92, 3, 45 ]
74
[ "9*3=27", "92-45=47", "27+47=74" ]
Current State: 74:[9, 92, 3, 45], Operations: [] Exploring Operation: 9*3=27, Resulting Numbers: [92, 45, 27] Generated Node #2: [92, 45, 27] from Operation: 9*3=27 Current State: 74:[92, 45, 27], Operations: ['9*3=27'] Exploring Operation: 92-45=47, Resulting Numbers: [27, 47] Generated Node #3: [27, 47] from Operation: 92-45=47 Current State: 74:[27, 47], Operations: ['9*3=27', '92-45=47'] Exploring Operation: 27+47=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 72, 5, 36, 48 ]
30
[ "72*5=360", "48-36=12", "360/12=30" ]
Current State: 30:[72, 5, 36, 48], Operations: [] Exploring Operation: 72*5=360, Resulting Numbers: [36, 48, 360] Generated Node #2: [36, 48, 360] from Operation: 72*5=360 Current State: 30:[36, 48, 360], Operations: ['72*5=360'] Exploring Operation: 48-36=12, Resulting Numbers: [360, 12] Generated Node #3: [360, 12] from Operation: 48-36=12 Current State: 30:[360, 12], Operations: ['72*5=360', '48-36=12'] Exploring Operation: 360/12=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 75, 56, 13, 95 ]
25
[ "75*13=975", "95-56=39", "975/39=25" ]
Current State: 25:[75, 56, 13, 95], Operations: [] Exploring Operation: 75*13=975, Resulting Numbers: [56, 95, 975] Generated Node #2: [56, 95, 975] from Operation: 75*13=975 Current State: 25:[56, 95, 975], Operations: ['75*13=975'] Exploring Operation: 95-56=39, Resulting Numbers: [975, 39] Generated Node #3: [975, 39] from Operation: 95-56=39 Current State: 25:[975, 39], Operations: ['75*13=975', '95-56=39'] Exploring Operation: 975/39=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 28, 56, 13, 12 ]
11
[ "56/28=2", "12*2=24", "24-13=11" ]
Current State: 11:[28, 56, 13, 12], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [13, 12, 2] Generated Node #2: [13, 12, 2] from Operation: 56/28=2 Current State: 11:[13, 12, 2], Operations: ['56/28=2'] Exploring Operation: 12*2=24, Resulting Numbers: [13, 24] Generated Node #3: [13, 24] from Operation: 12*2=24 Current State: 11:[13, 24], Operations: ['56/28=2', '12*2=24'] Exploring Operation: 24-13=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 13, 9, 60, 53 ]
54
[ "60-13=47", "53-47=6", "9*6=54" ]
Current State: 54:[13, 9, 60, 53], Operations: [] Exploring Operation: 60-13=47, Resulting Numbers: [9, 53, 47] Generated Node #2: [9, 53, 47] from Operation: 60-13=47 Current State: 54:[9, 53, 47], Operations: ['60-13=47'] Exploring Operation: 53-47=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 53-47=6 Current State: 54:[9, 6], Operations: ['60-13=47', '53-47=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 42, 30, 74, 4 ]
98
[ "74-42=32", "4*32=128", "128-30=98" ]
Current State: 98:[42, 30, 74, 4], Operations: [] Exploring Operation: 74-42=32, Resulting Numbers: [30, 4, 32] Generated Node #2: [30, 4, 32] from Operation: 74-42=32 Current State: 98:[30, 4, 32], Operations: ['74-42=32'] Exploring Operation: 4*32=128, Resulting Numbers: [30, 128] Generated Node #3: [30, 128] from Operation: 4*32=128 Current State: 98:[30, 128], Operations: ['74-42=32', '4*32=128'] Exploring Operation: 128-30=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 76, 58, 79, 77 ]
57
[ "79-76=3", "77-58=19", "3*19=57" ]
Current State: 57:[76, 58, 79, 77], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [58, 77, 3] Generated Node #2: [58, 77, 3] from Operation: 79-76=3 Current State: 57:[58, 77, 3], Operations: ['79-76=3'] Exploring Operation: 77-58=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 77-58=19 Current State: 57:[3, 19], Operations: ['79-76=3', '77-58=19'] Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 27, 39, 33, 93 ]
37
[ "93-27=66", "66/33=2", "39-2=37" ]
Current State: 37:[27, 39, 33, 93], Operations: [] Exploring Operation: 93-27=66, Resulting Numbers: [39, 33, 66] Generated Node #2: [39, 33, 66] from Operation: 93-27=66 Current State: 37:[39, 33, 66], Operations: ['93-27=66'] Exploring Operation: 66/33=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 66/33=2 Current State: 37:[39, 2], Operations: ['93-27=66', '66/33=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 14, 14, 13, 57 ]
71
[ "14/14=1", "13+57=70", "1+70=71" ]
Current State: 71:[14, 14, 13, 57], Operations: [] Exploring Operation: 14/14=1, Resulting Numbers: [13, 57, 1] Generated Node #2: [13, 57, 1] from Operation: 14/14=1 Current State: 71:[13, 57, 1], Operations: ['14/14=1'] Exploring Operation: 13+57=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 13+57=70 Current State: 71:[1, 70], Operations: ['14/14=1', '13+57=70'] Exploring Operation: 1+70=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 39, 95, 91, 67 ]
32
[ "95-39=56", "91-67=24", "56-24=32" ]
Current State: 32:[39, 95, 91, 67], Operations: [] Exploring Operation: 95-39=56, Resulting Numbers: [91, 67, 56] Generated Node #2: [91, 67, 56] from Operation: 95-39=56 Current State: 32:[91, 67, 56], Operations: ['95-39=56'] Exploring Operation: 91-67=24, Resulting Numbers: [56, 24] Generated Node #3: [56, 24] from Operation: 91-67=24 Current State: 32:[56, 24], Operations: ['95-39=56', '91-67=24'] Exploring Operation: 56-24=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 42, 31, 10, 93 ]
35
[ "42-10=32", "93/31=3", "32+3=35" ]
Current State: 35:[42, 31, 10, 93], Operations: [] Exploring Operation: 42-10=32, Resulting Numbers: [31, 93, 32] Generated Node #2: [31, 93, 32] from Operation: 42-10=32 Current State: 35:[31, 93, 32], Operations: ['42-10=32'] Exploring Operation: 93/31=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 93/31=3 Current State: 35:[32, 3], Operations: ['42-10=32', '93/31=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 96, 28, 72, 96 ]
44
[ "96+28=124", "72+96=168", "168-124=44" ]
Current State: 44:[96, 28, 72, 96], Operations: [] Exploring Operation: 96+28=124, Resulting Numbers: [72, 124] Generated Node #2: [72, 124] from Operation: 96+28=124 Current State: 44:[72, 124], Operations: ['96+28=124'] Exploring Operation: 72+96=168, Resulting Numbers: [124, 168] Generated Node #3: [124, 168] from Operation: 72+96=168 Current State: 44:[124, 168], Operations: ['96+28=124', '72+96=168'] Exploring Operation: 168-124=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 47, 26, 47, 74 ]
48
[ "47+26=73", "47+74=121", "121-73=48" ]
Current State: 48:[47, 26, 47, 74], Operations: [] Exploring Operation: 47+26=73, Resulting Numbers: [74, 73] Generated Node #2: [74, 73] from Operation: 47+26=73 Current State: 48:[74, 73], Operations: ['47+26=73'] Exploring Operation: 47+74=121, Resulting Numbers: [73, 121] Generated Node #3: [73, 121] from Operation: 47+74=121 Current State: 48:[73, 121], Operations: ['47+26=73', '47+74=121'] Exploring Operation: 121-73=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 46, 31, 17 ]
56
[ "46-17=29", "3*29=87", "87-31=56" ]
Current State: 56:[3, 46, 31, 17], Operations: [] Exploring Operation: 46-17=29, Resulting Numbers: [3, 31, 29] Generated Node #2: [3, 31, 29] from Operation: 46-17=29 Current State: 56:[3, 31, 29], Operations: ['46-17=29'] Exploring Operation: 3*29=87, Resulting Numbers: [31, 87] Generated Node #3: [31, 87] from Operation: 3*29=87 Current State: 56:[31, 87], Operations: ['46-17=29', '3*29=87'] Exploring Operation: 87-31=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 51, 69, 31, 9 ]
80
[ "51+69=120", "31+9=40", "120-40=80" ]
Current State: 80:[51, 69, 31, 9], Operations: [] Exploring Operation: 51+69=120, Resulting Numbers: [31, 9, 120] Generated Node #2: [31, 9, 120] from Operation: 51+69=120 Current State: 80:[31, 9, 120], Operations: ['51+69=120'] Exploring Operation: 31+9=40, Resulting Numbers: [120, 40] Generated Node #3: [120, 40] from Operation: 31+9=40 Current State: 80:[120, 40], Operations: ['51+69=120', '31+9=40'] Exploring Operation: 120-40=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 46, 69, 12, 25 ]
78
[ "46+69=115", "12+25=37", "115-37=78" ]
Current State: 78:[46, 69, 12, 25], Operations: [] Exploring Operation: 46+69=115, Resulting Numbers: [12, 25, 115] Generated Node #2: [12, 25, 115] from Operation: 46+69=115 Current State: 78:[12, 25, 115], Operations: ['46+69=115'] Exploring Operation: 12+25=37, Resulting Numbers: [115, 37] Generated Node #3: [115, 37] from Operation: 12+25=37 Current State: 78:[115, 37], Operations: ['46+69=115', '12+25=37'] Exploring Operation: 115-37=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 10, 44, 59, 72 ]
21
[ "44-10=34", "72-59=13", "34-13=21" ]
Current State: 21:[10, 44, 59, 72], Operations: [] Exploring Operation: 44-10=34, Resulting Numbers: [59, 72, 34] Generated Node #2: [59, 72, 34] from Operation: 44-10=34 Current State: 21:[59, 72, 34], Operations: ['44-10=34'] Exploring Operation: 72-59=13, Resulting Numbers: [34, 13] Generated Node #3: [34, 13] from Operation: 72-59=13 Current State: 21:[34, 13], Operations: ['44-10=34', '72-59=13'] Exploring Operation: 34-13=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 37, 71, 92, 59 ]
67
[ "71-37=34", "92-59=33", "34+33=67" ]
Current State: 67:[37, 71, 92, 59], Operations: [] Exploring Operation: 71-37=34, Resulting Numbers: [92, 59, 34] Generated Node #2: [92, 59, 34] from Operation: 71-37=34 Current State: 67:[92, 59, 34], Operations: ['71-37=34'] Exploring Operation: 92-59=33, Resulting Numbers: [34, 33] Generated Node #3: [34, 33] from Operation: 92-59=33 Current State: 67:[34, 33], Operations: ['71-37=34', '92-59=33'] Exploring Operation: 34+33=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 29, 61, 2, 76 ]
59
[ "76-61=15", "2*15=30", "29+30=59" ]
Current State: 59:[29, 61, 2, 76], Operations: [] Exploring Operation: 76-61=15, Resulting Numbers: [29, 2, 15] Generated Node #2: [29, 2, 15] from Operation: 76-61=15 Current State: 59:[29, 2, 15], Operations: ['76-61=15'] Exploring Operation: 2*15=30, Resulting Numbers: [29, 30] Generated Node #3: [29, 30] from Operation: 2*15=30 Current State: 59:[29, 30], Operations: ['76-61=15', '2*15=30'] Exploring Operation: 29+30=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 72, 45, 85, 5 ]
46
[ "45+85=130", "130/5=26", "72-26=46" ]
Current State: 46:[72, 45, 85, 5], Operations: [] Exploring Operation: 45+85=130, Resulting Numbers: [72, 5, 130] Generated Node #2: [72, 5, 130] from Operation: 45+85=130 Current State: 46:[72, 5, 130], Operations: ['45+85=130'] Exploring Operation: 130/5=26, Resulting Numbers: [72, 26] Generated Node #3: [72, 26] from Operation: 130/5=26 Current State: 46:[72, 26], Operations: ['45+85=130', '130/5=26'] Exploring Operation: 72-26=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 57, 15, 12, 59 ]
53
[ "57+15=72", "72/12=6", "59-6=53" ]
Current State: 53:[57, 15, 12, 59], Operations: [] Exploring Operation: 57+15=72, Resulting Numbers: [12, 59, 72] Generated Node #2: [12, 59, 72] from Operation: 57+15=72 Current State: 53:[12, 59, 72], Operations: ['57+15=72'] Exploring Operation: 72/12=6, Resulting Numbers: [59, 6] Generated Node #3: [59, 6] from Operation: 72/12=6 Current State: 53:[59, 6], Operations: ['57+15=72', '72/12=6'] Exploring Operation: 59-6=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 86, 79, 10, 98 ]
28
[ "86-79=7", "10*7=70", "98-70=28" ]
Current State: 28:[86, 79, 10, 98], Operations: [] Exploring Operation: 86-79=7, Resulting Numbers: [10, 98, 7] Generated Node #2: [10, 98, 7] from Operation: 86-79=7 Current State: 28:[10, 98, 7], Operations: ['86-79=7'] Exploring Operation: 10*7=70, Resulting Numbers: [98, 70] Generated Node #3: [98, 70] from Operation: 10*7=70 Current State: 28:[98, 70], Operations: ['86-79=7', '10*7=70'] Exploring Operation: 98-70=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 6, 53, 11, 86 ]
79
[ "53-11=42", "42/6=7", "86-7=79" ]
Current State: 79:[6, 53, 11, 86], Operations: [] Exploring Operation: 53-11=42, Resulting Numbers: [6, 86, 42] Generated Node #2: [6, 86, 42] from Operation: 53-11=42 Current State: 79:[6, 86, 42], Operations: ['53-11=42'] Exploring Operation: 42/6=7, Resulting Numbers: [86, 7] Generated Node #3: [86, 7] from Operation: 42/6=7 Current State: 79:[86, 7], Operations: ['53-11=42', '42/6=7'] Exploring Operation: 86-7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 4, 60, 48, 10 ]
32
[ "60/4=15", "48*10=480", "480/15=32" ]
Current State: 32:[4, 60, 48, 10], Operations: [] Exploring Operation: 60/4=15, Resulting Numbers: [48, 10, 15] Generated Node #2: [48, 10, 15] from Operation: 60/4=15 Current State: 32:[48, 10, 15], Operations: ['60/4=15'] Exploring Operation: 48*10=480, Resulting Numbers: [15, 480] Generated Node #3: [15, 480] from Operation: 48*10=480 Current State: 32:[15, 480], Operations: ['60/4=15', '48*10=480'] Exploring Operation: 480/15=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 73, 67, 13, 81 ]
73
[ "67+13=80", "81-80=1", "73*1=73" ]
Current State: 73:[73, 67, 13, 81], Operations: [] Exploring Operation: 67+13=80, Resulting Numbers: [73, 81, 80] Generated Node #2: [73, 81, 80] from Operation: 67+13=80 Current State: 73:[73, 81, 80], Operations: ['67+13=80'] Exploring Operation: 81-80=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 81-80=1 Current State: 73:[73, 1], Operations: ['67+13=80', '81-80=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 55, 53, 42, 49 ]
56
[ "55-53=2", "49*2=98", "98-42=56" ]
Current State: 56:[55, 53, 42, 49], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [42, 49, 2] Generated Node #2: [42, 49, 2] from Operation: 55-53=2 Current State: 56:[42, 49, 2], Operations: ['55-53=2'] Exploring Operation: 49*2=98, Resulting Numbers: [42, 98] Generated Node #3: [42, 98] from Operation: 49*2=98 Current State: 56:[42, 98], Operations: ['55-53=2', '49*2=98'] Exploring Operation: 98-42=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 57, 53, 3, 41 ]
53
[ "57-53=4", "3*4=12", "41+12=53" ]
Current State: 53:[57, 53, 3, 41], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [3, 41, 4] Generated Node #2: [3, 41, 4] from Operation: 57-53=4 Current State: 53:[3, 41, 4], Operations: ['57-53=4'] Exploring Operation: 3*4=12, Resulting Numbers: [41, 12] Generated Node #3: [41, 12] from Operation: 3*4=12 Current State: 53:[41, 12], Operations: ['57-53=4', '3*4=12'] Exploring Operation: 41+12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 52, 72, 10, 89 ]
99
[ "72-52=20", "89-10=79", "20+79=99" ]
Current State: 99:[52, 72, 10, 89], Operations: [] Exploring Operation: 72-52=20, Resulting Numbers: [10, 89, 20] Generated Node #2: [10, 89, 20] from Operation: 72-52=20 Current State: 99:[10, 89, 20], Operations: ['72-52=20'] Exploring Operation: 89-10=79, Resulting Numbers: [20, 79] Generated Node #3: [20, 79] from Operation: 89-10=79 Current State: 99:[20, 79], Operations: ['72-52=20', '89-10=79'] Exploring Operation: 20+79=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 1, 88, 46, 86 ]
91
[ "88-86=2", "46*2=92", "92-1=91" ]
Current State: 91:[1, 88, 46, 86], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [1, 46, 2] Generated Node #2: [1, 46, 2] from Operation: 88-86=2 Current State: 91:[1, 46, 2], Operations: ['88-86=2'] Exploring Operation: 46*2=92, Resulting Numbers: [1, 92] Generated Node #3: [1, 92] from Operation: 46*2=92 Current State: 91:[1, 92], Operations: ['88-86=2', '46*2=92'] Exploring Operation: 92-1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 46, 32, 62 ]
61
[ "62-32=30", "30/2=15", "46+15=61" ]
Current State: 61:[2, 46, 32, 62], Operations: [] Exploring Operation: 62-32=30, Resulting Numbers: [2, 46, 30] Generated Node #2: [2, 46, 30] from Operation: 62-32=30 Current State: 61:[2, 46, 30], Operations: ['62-32=30'] Exploring Operation: 30/2=15, Resulting Numbers: [46, 15] Generated Node #3: [46, 15] from Operation: 30/2=15 Current State: 61:[46, 15], Operations: ['62-32=30', '30/2=15'] Exploring Operation: 46+15=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 98, 96, 24, 43 ]
55
[ "98-96=2", "24/2=12", "43+12=55" ]
Current State: 55:[98, 96, 24, 43], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [24, 43, 2] Generated Node #2: [24, 43, 2] from Operation: 98-96=2 Current State: 55:[24, 43, 2], Operations: ['98-96=2'] Exploring Operation: 24/2=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 24/2=12 Current State: 55:[43, 12], Operations: ['98-96=2', '24/2=12'] Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 49, 56, 42, 17 ]
31
[ "56*42=2352", "2352/49=48", "48-17=31" ]
Current State: 31:[49, 56, 42, 17], Operations: [] Exploring Operation: 56*42=2352, Resulting Numbers: [49, 17, 2352] Generated Node #2: [49, 17, 2352] from Operation: 56*42=2352 Current State: 31:[49, 17, 2352], Operations: ['56*42=2352'] Exploring Operation: 2352/49=48, Resulting Numbers: [17, 48] Generated Node #3: [17, 48] from Operation: 2352/49=48 Current State: 31:[17, 48], Operations: ['56*42=2352', '2352/49=48'] Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 69, 97, 8, 84 ]
74
[ "69+97=166", "8+84=92", "166-92=74" ]
Current State: 74:[69, 97, 8, 84], Operations: [] Exploring Operation: 69+97=166, Resulting Numbers: [8, 84, 166] Generated Node #2: [8, 84, 166] from Operation: 69+97=166 Current State: 74:[8, 84, 166], Operations: ['69+97=166'] Exploring Operation: 8+84=92, Resulting Numbers: [166, 92] Generated Node #3: [166, 92] from Operation: 8+84=92 Current State: 74:[166, 92], Operations: ['69+97=166', '8+84=92'] Exploring Operation: 166-92=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 18, 92, 78, 16 ]
85
[ "18-16=2", "92+78=170", "170/2=85" ]
Current State: 85:[18, 92, 78, 16], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [92, 78, 2] Generated Node #2: [92, 78, 2] from Operation: 18-16=2 Current State: 85:[92, 78, 2], Operations: ['18-16=2'] Exploring Operation: 92+78=170, Resulting Numbers: [2, 170] Generated Node #3: [2, 170] from Operation: 92+78=170 Current State: 85:[2, 170], Operations: ['18-16=2', '92+78=170'] Exploring Operation: 170/2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 8, 27, 20, 71 ]
86
[ "8+27=35", "71-20=51", "35+51=86" ]
Current State: 86:[8, 27, 20, 71], Operations: [] Exploring Operation: 8+27=35, Resulting Numbers: [20, 71, 35] Generated Node #2: [20, 71, 35] from Operation: 8+27=35 Current State: 86:[20, 71, 35], Operations: ['8+27=35'] Exploring Operation: 71-20=51, Resulting Numbers: [35, 51] Generated Node #3: [35, 51] from Operation: 71-20=51 Current State: 86:[35, 51], Operations: ['8+27=35', '71-20=51'] Exploring Operation: 35+51=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 49, 37, 35, 13 ]
31
[ "49+13=62", "37-35=2", "62/2=31" ]
Current State: 31:[49, 37, 35, 13], Operations: [] Exploring Operation: 49+13=62, Resulting Numbers: [37, 35, 62] Generated Node #2: [37, 35, 62] from Operation: 49+13=62 Current State: 31:[37, 35, 62], Operations: ['49+13=62'] Exploring Operation: 37-35=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 37-35=2 Current State: 31:[62, 2], Operations: ['49+13=62', '37-35=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 34, 54, 54, 72 ]
15
[ "54-34=20", "54*20=1080", "1080/72=15" ]
Current State: 15:[34, 54, 54, 72], Operations: [] Exploring Operation: 54-34=20, Resulting Numbers: [72, 20] Generated Node #2: [72, 20] from Operation: 54-34=20 Current State: 15:[72, 20], Operations: ['54-34=20'] Exploring Operation: 54*20=1080, Resulting Numbers: [72, 1080] Generated Node #3: [72, 1080] from Operation: 54*20=1080 Current State: 15:[72, 1080], Operations: ['54-34=20', '54*20=1080'] Exploring Operation: 1080/72=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 37, 3, 24, 42 ]
93
[ "37*3=111", "42-24=18", "111-18=93" ]
Current State: 93:[37, 3, 24, 42], Operations: [] Exploring Operation: 37*3=111, Resulting Numbers: [24, 42, 111] Generated Node #2: [24, 42, 111] from Operation: 37*3=111 Current State: 93:[24, 42, 111], Operations: ['37*3=111'] Exploring Operation: 42-24=18, Resulting Numbers: [111, 18] Generated Node #3: [111, 18] from Operation: 42-24=18 Current State: 93:[111, 18], Operations: ['37*3=111', '42-24=18'] Exploring Operation: 111-18=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 32, 54, 53, 95 ]
44
[ "32+54=86", "95-53=42", "86-42=44" ]
Current State: 44:[32, 54, 53, 95], Operations: [] Exploring Operation: 32+54=86, Resulting Numbers: [53, 95, 86] Generated Node #2: [53, 95, 86] from Operation: 32+54=86 Current State: 44:[53, 95, 86], Operations: ['32+54=86'] Exploring Operation: 95-53=42, Resulting Numbers: [86, 42] Generated Node #3: [86, 42] from Operation: 95-53=42 Current State: 44:[86, 42], Operations: ['32+54=86', '95-53=42'] Exploring Operation: 86-42=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 40, 78, 26, 82 ]
38
[ "40*78=3120", "3120/26=120", "120-82=38" ]
Current State: 38:[40, 78, 26, 82], Operations: [] Exploring Operation: 40*78=3120, Resulting Numbers: [26, 82, 3120] Generated Node #2: [26, 82, 3120] from Operation: 40*78=3120 Current State: 38:[26, 82, 3120], Operations: ['40*78=3120'] Exploring Operation: 3120/26=120, Resulting Numbers: [82, 120] Generated Node #3: [82, 120] from Operation: 3120/26=120 Current State: 38:[82, 120], Operations: ['40*78=3120', '3120/26=120'] Exploring Operation: 120-82=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 13, 61, 28, 94 ]
65
[ "61+28=89", "94-89=5", "13*5=65" ]
Current State: 65:[13, 61, 28, 94], Operations: [] Exploring Operation: 61+28=89, Resulting Numbers: [13, 94, 89] Generated Node #2: [13, 94, 89] from Operation: 61+28=89 Current State: 65:[13, 94, 89], Operations: ['61+28=89'] Exploring Operation: 94-89=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 94-89=5 Current State: 65:[13, 5], Operations: ['61+28=89', '94-89=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 8, 94, 13, 90 ]
10
[ "94+90=184", "184/8=23", "23-13=10" ]
Current State: 10:[8, 94, 13, 90], Operations: [] Exploring Operation: 94+90=184, Resulting Numbers: [8, 13, 184] Generated Node #2: [8, 13, 184] from Operation: 94+90=184 Current State: 10:[8, 13, 184], Operations: ['94+90=184'] Exploring Operation: 184/8=23, Resulting Numbers: [13, 23] Generated Node #3: [13, 23] from Operation: 184/8=23 Current State: 10:[13, 23], Operations: ['94+90=184', '184/8=23'] Exploring Operation: 23-13=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 33, 62, 83, 6 ]
91
[ "62-33=29", "6*29=174", "174-83=91" ]
Current State: 91:[33, 62, 83, 6], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [83, 6, 29] Generated Node #2: [83, 6, 29] from Operation: 62-33=29 Current State: 91:[83, 6, 29], Operations: ['62-33=29'] Exploring Operation: 6*29=174, Resulting Numbers: [83, 174] Generated Node #3: [83, 174] from Operation: 6*29=174 Current State: 91:[83, 174], Operations: ['62-33=29', '6*29=174'] Exploring Operation: 174-83=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 33, 33, 61, 28 ]
89
[ "33-33=0", "61+28=89", "0+89=89" ]
Current State: 89:[33, 33, 61, 28], Operations: [] Exploring Operation: 33-33=0, Resulting Numbers: [61, 28, 0] Generated Node #2: [61, 28, 0] from Operation: 33-33=0 Current State: 89:[61, 28, 0], Operations: ['33-33=0'] Exploring Operation: 61+28=89, Resulting Numbers: [0, 89] Generated Node #3: [0, 89] from Operation: 61+28=89 Current State: 89:[0, 89], Operations: ['33-33=0', '61+28=89'] Exploring Operation: 0+89=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 40, 43, 38, 64 ]
85
[ "40-38=2", "64*2=128", "128-43=85" ]
Current State: 85:[40, 43, 38, 64], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [43, 64, 2] Generated Node #2: [43, 64, 2] from Operation: 40-38=2 Current State: 85:[43, 64, 2], Operations: ['40-38=2'] Exploring Operation: 64*2=128, Resulting Numbers: [43, 128] Generated Node #3: [43, 128] from Operation: 64*2=128 Current State: 85:[43, 128], Operations: ['40-38=2', '64*2=128'] Exploring Operation: 128-43=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 66, 11, 64, 45 ]
25
[ "66/11=6", "64-45=19", "6+19=25" ]
Current State: 25:[66, 11, 64, 45], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [64, 45, 6] Generated Node #2: [64, 45, 6] from Operation: 66/11=6 Current State: 25:[64, 45, 6], Operations: ['66/11=6'] Exploring Operation: 64-45=19, Resulting Numbers: [6, 19] Generated Node #3: [6, 19] from Operation: 64-45=19 Current State: 25:[6, 19], Operations: ['66/11=6', '64-45=19'] Exploring Operation: 6+19=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 2, 92, 94 ]
91
[ "92-4=88", "94+88=182", "182/2=91" ]
Current State: 91:[4, 2, 92, 94], Operations: [] Exploring Operation: 92-4=88, Resulting Numbers: [2, 94, 88] Generated Node #2: [2, 94, 88] from Operation: 92-4=88 Current State: 91:[2, 94, 88], Operations: ['92-4=88'] Exploring Operation: 94+88=182, Resulting Numbers: [2, 182] Generated Node #3: [2, 182] from Operation: 94+88=182 Current State: 91:[2, 182], Operations: ['92-4=88', '94+88=182'] Exploring Operation: 182/2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 24, 36, 51, 30 ]
33
[ "36-24=12", "51-30=21", "12+21=33" ]
Current State: 33:[24, 36, 51, 30], Operations: [] Exploring Operation: 36-24=12, Resulting Numbers: [51, 30, 12] Generated Node #2: [51, 30, 12] from Operation: 36-24=12 Current State: 33:[51, 30, 12], Operations: ['36-24=12'] Exploring Operation: 51-30=21, Resulting Numbers: [12, 21] Generated Node #3: [12, 21] from Operation: 51-30=21 Current State: 33:[12, 21], Operations: ['36-24=12', '51-30=21'] Exploring Operation: 12+21=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 16, 80, 2, 34 ]
28
[ "16+80=96", "2*34=68", "96-68=28" ]
Current State: 28:[16, 80, 2, 34], Operations: [] Exploring Operation: 16+80=96, Resulting Numbers: [2, 34, 96] Generated Node #2: [2, 34, 96] from Operation: 16+80=96 Current State: 28:[2, 34, 96], Operations: ['16+80=96'] Exploring Operation: 2*34=68, Resulting Numbers: [96, 68] Generated Node #3: [96, 68] from Operation: 2*34=68 Current State: 28:[96, 68], Operations: ['16+80=96', '2*34=68'] Exploring Operation: 96-68=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 19, 40, 27, 97 ]
30
[ "97-40=57", "57/19=3", "27+3=30" ]
Current State: 30:[19, 40, 27, 97], Operations: [] Exploring Operation: 97-40=57, Resulting Numbers: [19, 27, 57] Generated Node #2: [19, 27, 57] from Operation: 97-40=57 Current State: 30:[19, 27, 57], Operations: ['97-40=57'] Exploring Operation: 57/19=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 57/19=3 Current State: 30:[27, 3], Operations: ['97-40=57', '57/19=3'] Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 64, 17, 45, 37 ]
74
[ "64-17=47", "47-45=2", "37*2=74" ]
Current State: 74:[64, 17, 45, 37], Operations: [] Exploring Operation: 64-17=47, Resulting Numbers: [45, 37, 47] Generated Node #2: [45, 37, 47] from Operation: 64-17=47 Current State: 74:[45, 37, 47], Operations: ['64-17=47'] Exploring Operation: 47-45=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 47-45=2 Current State: 74:[37, 2], Operations: ['64-17=47', '47-45=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 6, 37, 31, 32 ]
20
[ "6+37=43", "31+32=63", "63-43=20" ]
Current State: 20:[6, 37, 31, 32], Operations: [] Exploring Operation: 6+37=43, Resulting Numbers: [31, 32, 43] Generated Node #2: [31, 32, 43] from Operation: 6+37=43 Current State: 20:[31, 32, 43], Operations: ['6+37=43'] Exploring Operation: 31+32=63, Resulting Numbers: [43, 63] Generated Node #3: [43, 63] from Operation: 31+32=63 Current State: 20:[43, 63], Operations: ['6+37=43', '31+32=63'] Exploring Operation: 63-43=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 80, 43, 84, 20 ]
92
[ "84-80=4", "43-20=23", "4*23=92" ]
Current State: 92:[80, 43, 84, 20], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [43, 20, 4] Generated Node #2: [43, 20, 4] from Operation: 84-80=4 Current State: 92:[43, 20, 4], Operations: ['84-80=4'] Exploring Operation: 43-20=23, Resulting Numbers: [4, 23] Generated Node #3: [4, 23] from Operation: 43-20=23 Current State: 92:[4, 23], Operations: ['84-80=4', '43-20=23'] Exploring Operation: 4*23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4