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
[ 95, 75, 18, 64 ]
13
[ "95+75=170", "64+170=234", "234/18=13" ]
Current State: 13:[95, 75, 18, 64], Operations: [] Exploring Operation: 95+75=170, Resulting Numbers: [18, 64, 170] Generated Node #2: [18, 64, 170] from Operation: 95+75=170 Current State: 13:[18, 64, 170], Operations: ['95+75=170'] Exploring Operation: 64+170=234, Resulting Numbers: [18, 234] Generated Node #3: [18, 234] from Operation: 64+170=234 Current State: 13:[18, 234], Operations: ['95+75=170', '64+170=234'] Exploring Operation: 234/18=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 64, 1, 32, 28 ]
17
[ "32-28=4", "64/4=16", "1+16=17" ]
Current State: 17:[64, 1, 32, 28], Operations: [] Exploring Operation: 32-28=4, Resulting Numbers: [64, 1, 4] Generated Node #2: [64, 1, 4] from Operation: 32-28=4 Current State: 17:[64, 1, 4], Operations: ['32-28=4'] Exploring Operation: 64/4=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 64/4=16 Current State: 17:[1, 16], Operations: ['32-28=4', '64/4=16'] Exploring Operation: 1+16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 22, 23, 24, 35 ]
12
[ "23-22=1", "35-24=11", "1+11=12" ]
Current State: 12:[22, 23, 24, 35], Operations: [] Exploring Operation: 23-22=1, Resulting Numbers: [24, 35, 1] Generated Node #2: [24, 35, 1] from Operation: 23-22=1 Current State: 12:[24, 35, 1], Operations: ['23-22=1'] Exploring Operation: 35-24=11, Resulting Numbers: [1, 11] Generated Node #3: [1, 11] from Operation: 35-24=11 Current State: 12:[1, 11], Operations: ['23-22=1', '35-24=11'] Exploring Operation: 1+11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 64, 67, 2, 55 ]
56
[ "67-64=3", "55-2=53", "3+53=56" ]
Current State: 56:[64, 67, 2, 55], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [2, 55, 3] Generated Node #2: [2, 55, 3] from Operation: 67-64=3 Current State: 56:[2, 55, 3], Operations: ['67-64=3'] Exploring Operation: 55-2=53, Resulting Numbers: [3, 53] Generated Node #3: [3, 53] from Operation: 55-2=53 Current State: 56:[3, 53], Operations: ['67-64=3', '55-2=53'] Exploring Operation: 3+53=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 12, 36, 4, 36 ]
30
[ "36-12=24", "24/4=6", "36-6=30" ]
Current State: 30:[12, 36, 4, 36], Operations: [] Exploring Operation: 36-12=24, Resulting Numbers: [4, 24] Generated Node #2: [4, 24] from Operation: 36-12=24 Current State: 30:[4, 24], Operations: ['36-12=24'] Exploring Operation: 24/4=6, Resulting Numbers: [6] 6,30 equal: Goal Reached Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 27, 54, 23, 39 ]
35
[ "54-27=27", "23+39=62", "62-27=35" ]
Current State: 35:[27, 54, 23, 39], Operations: [] Exploring Operation: 54-27=27, Resulting Numbers: [23, 39, 27] Generated Node #2: [23, 39, 27] from Operation: 54-27=27 Current State: 35:[23, 39, 27], Operations: ['54-27=27'] Exploring Operation: 23+39=62, Resulting Numbers: [27, 62] Generated Node #3: [27, 62] from Operation: 23+39=62 Current State: 35:[27, 62], Operations: ['54-27=27', '23+39=62'] Exploring Operation: 62-27=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 6, 10, 20, 79 ]
75
[ "6+10=16", "79-20=59", "16+59=75" ]
Current State: 75:[6, 10, 20, 79], Operations: [] Exploring Operation: 6+10=16, Resulting Numbers: [20, 79, 16] Generated Node #2: [20, 79, 16] from Operation: 6+10=16 Current State: 75:[20, 79, 16], Operations: ['6+10=16'] Exploring Operation: 79-20=59, Resulting Numbers: [16, 59] Generated Node #3: [16, 59] from Operation: 79-20=59 Current State: 75:[16, 59], Operations: ['6+10=16', '79-20=59'] Exploring Operation: 16+59=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 9, 8, 14, 32 ]
71
[ "9+32=41", "8*14=112", "112-41=71" ]
Current State: 71:[9, 8, 14, 32], Operations: [] Exploring Operation: 9+32=41, Resulting Numbers: [8, 14, 41] Generated Node #2: [8, 14, 41] from Operation: 9+32=41 Current State: 71:[8, 14, 41], Operations: ['9+32=41'] Exploring Operation: 8*14=112, Resulting Numbers: [41, 112] Generated Node #3: [41, 112] from Operation: 8*14=112 Current State: 71:[41, 112], Operations: ['9+32=41', '8*14=112'] Exploring Operation: 112-41=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 42, 9, 7, 64 ]
49
[ "42/7=6", "64-9=55", "55-6=49" ]
Current State: 49:[42, 9, 7, 64], Operations: [] Exploring Operation: 42/7=6, Resulting Numbers: [9, 64, 6] Generated Node #2: [9, 64, 6] from Operation: 42/7=6 Current State: 49:[9, 64, 6], Operations: ['42/7=6'] Exploring Operation: 64-9=55, Resulting Numbers: [6, 55] Generated Node #3: [6, 55] from Operation: 64-9=55 Current State: 49:[6, 55], Operations: ['42/7=6', '64-9=55'] Exploring Operation: 55-6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 1, 95, 74, 57 ]
79
[ "1+95=96", "74-57=17", "96-17=79" ]
Current State: 79:[1, 95, 74, 57], Operations: [] Exploring Operation: 1+95=96, Resulting Numbers: [74, 57, 96] Generated Node #2: [74, 57, 96] from Operation: 1+95=96 Current State: 79:[74, 57, 96], Operations: ['1+95=96'] Exploring Operation: 74-57=17, Resulting Numbers: [96, 17] Generated Node #3: [96, 17] from Operation: 74-57=17 Current State: 79:[96, 17], Operations: ['1+95=96', '74-57=17'] Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 57, 59, 80, 8 ]
20
[ "59-57=2", "80/8=10", "2*10=20" ]
Current State: 20:[57, 59, 80, 8], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [80, 8, 2] Generated Node #2: [80, 8, 2] from Operation: 59-57=2 Current State: 20:[80, 8, 2], Operations: ['59-57=2'] Exploring Operation: 80/8=10, Resulting Numbers: [2, 10] Generated Node #3: [2, 10] from Operation: 80/8=10 Current State: 20:[2, 10], Operations: ['59-57=2', '80/8=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 17, 26, 35, 69 ]
95
[ "26-17=9", "35+69=104", "104-9=95" ]
Current State: 95:[17, 26, 35, 69], Operations: [] Exploring Operation: 26-17=9, Resulting Numbers: [35, 69, 9] Generated Node #2: [35, 69, 9] from Operation: 26-17=9 Current State: 95:[35, 69, 9], Operations: ['26-17=9'] Exploring Operation: 35+69=104, Resulting Numbers: [9, 104] Generated Node #3: [9, 104] from Operation: 35+69=104 Current State: 95:[9, 104], Operations: ['26-17=9', '35+69=104'] Exploring Operation: 104-9=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 77, 6, 60, 49 ]
31
[ "77+60=137", "49+137=186", "186/6=31" ]
Current State: 31:[77, 6, 60, 49], Operations: [] Exploring Operation: 77+60=137, Resulting Numbers: [6, 49, 137] Generated Node #2: [6, 49, 137] from Operation: 77+60=137 Current State: 31:[6, 49, 137], Operations: ['77+60=137'] Exploring Operation: 49+137=186, Resulting Numbers: [6, 186] Generated Node #3: [6, 186] from Operation: 49+137=186 Current State: 31:[6, 186], Operations: ['77+60=137', '49+137=186'] Exploring Operation: 186/6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 96, 51, 79, 60 ]
64
[ "96-51=45", "79-60=19", "45+19=64" ]
Current State: 64:[96, 51, 79, 60], Operations: [] Exploring Operation: 96-51=45, Resulting Numbers: [79, 60, 45] Generated Node #2: [79, 60, 45] from Operation: 96-51=45 Current State: 64:[79, 60, 45], Operations: ['96-51=45'] Exploring Operation: 79-60=19, Resulting Numbers: [45, 19] Generated Node #3: [45, 19] from Operation: 79-60=19 Current State: 64:[45, 19], Operations: ['96-51=45', '79-60=19'] Exploring Operation: 45+19=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 70, 53, 40, 37 ]
28
[ "53-37=16", "70*16=1120", "1120/40=28" ]
Current State: 28:[70, 53, 40, 37], Operations: [] Exploring Operation: 53-37=16, Resulting Numbers: [70, 40, 16] Generated Node #2: [70, 40, 16] from Operation: 53-37=16 Current State: 28:[70, 40, 16], Operations: ['53-37=16'] Exploring Operation: 70*16=1120, Resulting Numbers: [40, 1120] Generated Node #3: [40, 1120] from Operation: 70*16=1120 Current State: 28:[40, 1120], Operations: ['53-37=16', '70*16=1120'] Exploring Operation: 1120/40=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 27, 31, 73, 61 ]
80
[ "27*73=1971", "31*61=1891", "1971-1891=80" ]
Current State: 80:[27, 31, 73, 61], Operations: [] Exploring Operation: 27*73=1971, Resulting Numbers: [31, 61, 1971] Generated Node #2: [31, 61, 1971] from Operation: 27*73=1971 Current State: 80:[31, 61, 1971], Operations: ['27*73=1971'] Exploring Operation: 31*61=1891, Resulting Numbers: [1971, 1891] Generated Node #3: [1971, 1891] from Operation: 31*61=1891 Current State: 80:[1971, 1891], Operations: ['27*73=1971', '31*61=1891'] Exploring Operation: 1971-1891=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 69, 83, 17, 2 ]
33
[ "83-69=14", "17+2=19", "14+19=33" ]
Current State: 33:[69, 83, 17, 2], Operations: [] Exploring Operation: 83-69=14, Resulting Numbers: [17, 2, 14] Generated Node #2: [17, 2, 14] from Operation: 83-69=14 Current State: 33:[17, 2, 14], Operations: ['83-69=14'] Exploring Operation: 17+2=19, Resulting Numbers: [14, 19] Generated Node #3: [14, 19] from Operation: 17+2=19 Current State: 33:[14, 19], Operations: ['83-69=14', '17+2=19'] Exploring Operation: 14+19=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 89, 25, 49, 4 ]
60
[ "89-25=64", "64-49=15", "4*15=60" ]
Current State: 60:[89, 25, 49, 4], Operations: [] Exploring Operation: 89-25=64, Resulting Numbers: [49, 4, 64] Generated Node #2: [49, 4, 64] from Operation: 89-25=64 Current State: 60:[49, 4, 64], Operations: ['89-25=64'] Exploring Operation: 64-49=15, Resulting Numbers: [4, 15] Generated Node #3: [4, 15] from Operation: 64-49=15 Current State: 60:[4, 15], Operations: ['89-25=64', '64-49=15'] Exploring Operation: 4*15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 74, 31, 87, 8 ]
24
[ "74+31=105", "87+105=192", "192/8=24" ]
Current State: 24:[74, 31, 87, 8], Operations: [] Exploring Operation: 74+31=105, Resulting Numbers: [87, 8, 105] Generated Node #2: [87, 8, 105] from Operation: 74+31=105 Current State: 24:[87, 8, 105], Operations: ['74+31=105'] Exploring Operation: 87+105=192, Resulting Numbers: [8, 192] Generated Node #3: [8, 192] from Operation: 87+105=192 Current State: 24:[8, 192], Operations: ['74+31=105', '87+105=192'] Exploring Operation: 192/8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 95, 64, 25, 89 ]
95
[ "95+64=159", "89-25=64", "159-64=95" ]
Current State: 95:[95, 64, 25, 89], Operations: [] Exploring Operation: 95+64=159, Resulting Numbers: [25, 89, 159] Generated Node #2: [25, 89, 159] from Operation: 95+64=159 Current State: 95:[25, 89, 159], Operations: ['95+64=159'] Exploring Operation: 89-25=64, Resulting Numbers: [159, 64] Generated Node #3: [159, 64] from Operation: 89-25=64 Current State: 95:[159, 64], Operations: ['95+64=159', '89-25=64'] Exploring Operation: 159-64=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 86, 34, 66, 8 ]
46
[ "86+34=120", "66+8=74", "120-74=46" ]
Current State: 46:[86, 34, 66, 8], Operations: [] Exploring Operation: 86+34=120, Resulting Numbers: [66, 8, 120] Generated Node #2: [66, 8, 120] from Operation: 86+34=120 Current State: 46:[66, 8, 120], Operations: ['86+34=120'] Exploring Operation: 66+8=74, Resulting Numbers: [120, 74] Generated Node #3: [120, 74] from Operation: 66+8=74 Current State: 46:[120, 74], Operations: ['86+34=120', '66+8=74'] Exploring Operation: 120-74=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 26, 83, 10, 15 ]
82
[ "83-26=57", "10+15=25", "57+25=82" ]
Current State: 82:[26, 83, 10, 15], Operations: [] Exploring Operation: 83-26=57, Resulting Numbers: [10, 15, 57] Generated Node #2: [10, 15, 57] from Operation: 83-26=57 Current State: 82:[10, 15, 57], Operations: ['83-26=57'] Exploring Operation: 10+15=25, Resulting Numbers: [57, 25] Generated Node #3: [57, 25] from Operation: 10+15=25 Current State: 82:[57, 25], Operations: ['83-26=57', '10+15=25'] Exploring Operation: 57+25=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 24, 1, 55, 13 ]
67
[ "24+1=25", "55-13=42", "25+42=67" ]
Current State: 67:[24, 1, 55, 13], Operations: [] Exploring Operation: 24+1=25, Resulting Numbers: [55, 13, 25] Generated Node #2: [55, 13, 25] from Operation: 24+1=25 Current State: 67:[55, 13, 25], Operations: ['24+1=25'] Exploring Operation: 55-13=42, Resulting Numbers: [25, 42] Generated Node #3: [25, 42] from Operation: 55-13=42 Current State: 67:[25, 42], Operations: ['24+1=25', '55-13=42'] Exploring Operation: 25+42=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 65, 40, 55, 19 ]
99
[ "65-40=25", "55+19=74", "25+74=99" ]
Current State: 99:[65, 40, 55, 19], Operations: [] Exploring Operation: 65-40=25, Resulting Numbers: [55, 19, 25] Generated Node #2: [55, 19, 25] from Operation: 65-40=25 Current State: 99:[55, 19, 25], Operations: ['65-40=25'] Exploring Operation: 55+19=74, Resulting Numbers: [25, 74] Generated Node #3: [25, 74] from Operation: 55+19=74 Current State: 99:[25, 74], Operations: ['65-40=25', '55+19=74'] Exploring Operation: 25+74=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 18, 28, 23, 48 ]
54
[ "28+23=51", "51-48=3", "18*3=54" ]
Current State: 54:[18, 28, 23, 48], Operations: [] Exploring Operation: 28+23=51, Resulting Numbers: [18, 48, 51] Generated Node #2: [18, 48, 51] from Operation: 28+23=51 Current State: 54:[18, 48, 51], Operations: ['28+23=51'] Exploring Operation: 51-48=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 51-48=3 Current State: 54:[18, 3], Operations: ['28+23=51', '51-48=3'] Exploring Operation: 18*3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 8, 99, 32, 33 ]
27
[ "32-8=24", "99/33=3", "24+3=27" ]
Current State: 27:[8, 99, 32, 33], Operations: [] Exploring Operation: 32-8=24, Resulting Numbers: [99, 33, 24] Generated Node #2: [99, 33, 24] from Operation: 32-8=24 Current State: 27:[99, 33, 24], Operations: ['32-8=24'] Exploring Operation: 99/33=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 99/33=3 Current State: 27:[24, 3], Operations: ['32-8=24', '99/33=3'] Exploring Operation: 24+3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 70, 41, 16, 25 ]
71
[ "41-16=25", "25/25=1", "70+1=71" ]
Current State: 71:[70, 41, 16, 25], Operations: [] Exploring Operation: 41-16=25, Resulting Numbers: [70, 25, 25] Generated Node #2: [70, 25, 25] from Operation: 41-16=25 Current State: 71:[70, 25, 25], Operations: ['41-16=25'] Exploring Operation: 25/25=1, Resulting Numbers: [70, 1] Generated Node #3: [70, 1] from Operation: 25/25=1 Current State: 71:[70, 1], Operations: ['41-16=25', '25/25=1'] Exploring Operation: 70+1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 57, 37, 24, 2 ]
59
[ "57+37=94", "24+94=118", "118/2=59" ]
Current State: 59:[57, 37, 24, 2], Operations: [] Exploring Operation: 57+37=94, Resulting Numbers: [24, 2, 94] Generated Node #2: [24, 2, 94] from Operation: 57+37=94 Current State: 59:[24, 2, 94], Operations: ['57+37=94'] Exploring Operation: 24+94=118, Resulting Numbers: [2, 118] Generated Node #3: [2, 118] from Operation: 24+94=118 Current State: 59:[2, 118], Operations: ['57+37=94', '24+94=118'] Exploring Operation: 118/2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 62, 46, 33, 20 ]
37
[ "62-46=16", "33+20=53", "53-16=37" ]
Current State: 37:[62, 46, 33, 20], Operations: [] Exploring Operation: 62-46=16, Resulting Numbers: [33, 20, 16] Generated Node #2: [33, 20, 16] from Operation: 62-46=16 Current State: 37:[33, 20, 16], Operations: ['62-46=16'] Exploring Operation: 33+20=53, Resulting Numbers: [16, 53] Generated Node #3: [16, 53] from Operation: 33+20=53 Current State: 37:[16, 53], Operations: ['62-46=16', '33+20=53'] Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 58, 23, 59, 51 ]
27
[ "58-23=35", "59-51=8", "35-8=27" ]
Current State: 27:[58, 23, 59, 51], Operations: [] Exploring Operation: 58-23=35, Resulting Numbers: [59, 51, 35] Generated Node #2: [59, 51, 35] from Operation: 58-23=35 Current State: 27:[59, 51, 35], Operations: ['58-23=35'] Exploring Operation: 59-51=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 59-51=8 Current State: 27:[35, 8], Operations: ['58-23=35', '59-51=8'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 44, 85, 85, 89 ]
74
[ "89-85=4", "44/4=11", "85-11=74" ]
Current State: 74:[44, 85, 85, 89], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [44, 4] Generated Node #2: [44, 4] from Operation: 89-85=4 Current State: 74:[44, 4], Operations: ['89-85=4'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,74 equal: Goal Reached Exploring Operation: 85-11=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 1, 50, 26, 59 ]
17
[ "1*50=50", "59-26=33", "50-33=17" ]
Current State: 17:[1, 50, 26, 59], Operations: [] Exploring Operation: 1*50=50, Resulting Numbers: [26, 59, 50] Generated Node #2: [26, 59, 50] from Operation: 1*50=50 Current State: 17:[26, 59, 50], Operations: ['1*50=50'] Exploring Operation: 59-26=33, Resulting Numbers: [50, 33] Generated Node #3: [50, 33] from Operation: 59-26=33 Current State: 17:[50, 33], Operations: ['1*50=50', '59-26=33'] Exploring Operation: 50-33=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 25, 16, 53, 14 ]
56
[ "53-25=28", "16-14=2", "28*2=56" ]
Current State: 56:[25, 16, 53, 14], Operations: [] Exploring Operation: 53-25=28, Resulting Numbers: [16, 14, 28] Generated Node #2: [16, 14, 28] from Operation: 53-25=28 Current State: 56:[16, 14, 28], Operations: ['53-25=28'] Exploring Operation: 16-14=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 16-14=2 Current State: 56:[28, 2], Operations: ['53-25=28', '16-14=2'] Exploring Operation: 28*2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 37, 3, 71, 7 ]
24
[ "37+3=40", "71-7=64", "64-40=24" ]
Current State: 24:[37, 3, 71, 7], Operations: [] Exploring Operation: 37+3=40, Resulting Numbers: [71, 7, 40] Generated Node #2: [71, 7, 40] from Operation: 37+3=40 Current State: 24:[71, 7, 40], Operations: ['37+3=40'] Exploring Operation: 71-7=64, Resulting Numbers: [40, 64] Generated Node #3: [40, 64] from Operation: 71-7=64 Current State: 24:[40, 64], Operations: ['37+3=40', '71-7=64'] Exploring Operation: 64-40=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 77, 61, 82, 75 ]
42
[ "77-75=2", "82-61=21", "2*21=42" ]
Current State: 42:[77, 61, 82, 75], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [61, 82, 2] Generated Node #2: [61, 82, 2] from Operation: 77-75=2 Current State: 42:[61, 82, 2], Operations: ['77-75=2'] Exploring Operation: 82-61=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 82-61=21 Current State: 42:[2, 21], Operations: ['77-75=2', '82-61=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 15, 51, 93 ]
87
[ "3*15=45", "93-51=42", "45+42=87" ]
Current State: 87:[3, 15, 51, 93], Operations: [] Exploring Operation: 3*15=45, Resulting Numbers: [51, 93, 45] Generated Node #2: [51, 93, 45] from Operation: 3*15=45 Current State: 87:[51, 93, 45], Operations: ['3*15=45'] Exploring Operation: 93-51=42, Resulting Numbers: [45, 42] Generated Node #3: [45, 42] from Operation: 93-51=42 Current State: 87:[45, 42], Operations: ['3*15=45', '93-51=42'] Exploring Operation: 45+42=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 12, 78, 86, 96 ]
42
[ "96-86=10", "12*10=120", "120-78=42" ]
Current State: 42:[12, 78, 86, 96], Operations: [] Exploring Operation: 96-86=10, Resulting Numbers: [12, 78, 10] Generated Node #2: [12, 78, 10] from Operation: 96-86=10 Current State: 42:[12, 78, 10], Operations: ['96-86=10'] Exploring Operation: 12*10=120, Resulting Numbers: [78, 120] Generated Node #3: [78, 120] from Operation: 12*10=120 Current State: 42:[78, 120], Operations: ['96-86=10', '12*10=120'] Exploring Operation: 120-78=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 74, 30, 76, 46 ]
53
[ "76-74=2", "46/2=23", "30+23=53" ]
Current State: 53:[74, 30, 76, 46], Operations: [] Exploring Operation: 76-74=2, Resulting Numbers: [30, 46, 2] Generated Node #2: [30, 46, 2] from Operation: 76-74=2 Current State: 53:[30, 46, 2], Operations: ['76-74=2'] Exploring Operation: 46/2=23, Resulting Numbers: [30, 23] Generated Node #3: [30, 23] from Operation: 46/2=23 Current State: 53:[30, 23], Operations: ['76-74=2', '46/2=23'] Exploring Operation: 30+23=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 15, 16, 28, 8 ]
19
[ "16-15=1", "28-8=20", "20-1=19" ]
Current State: 19:[15, 16, 28, 8], Operations: [] Exploring Operation: 16-15=1, Resulting Numbers: [28, 8, 1] Generated Node #2: [28, 8, 1] from Operation: 16-15=1 Current State: 19:[28, 8, 1], Operations: ['16-15=1'] Exploring Operation: 28-8=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 28-8=20 Current State: 19:[1, 20], Operations: ['16-15=1', '28-8=20'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 4, 17, 37, 60 ]
75
[ "60-37=23", "4*23=92", "92-17=75" ]
Current State: 75:[4, 17, 37, 60], Operations: [] Exploring Operation: 60-37=23, Resulting Numbers: [4, 17, 23] Generated Node #2: [4, 17, 23] from Operation: 60-37=23 Current State: 75:[4, 17, 23], Operations: ['60-37=23'] Exploring Operation: 4*23=92, Resulting Numbers: [17, 92] Generated Node #3: [17, 92] from Operation: 4*23=92 Current State: 75:[17, 92], Operations: ['60-37=23', '4*23=92'] Exploring Operation: 92-17=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 22, 8, 60, 20 ]
70
[ "22+8=30", "60-20=40", "30+40=70" ]
Current State: 70:[22, 8, 60, 20], Operations: [] Exploring Operation: 22+8=30, Resulting Numbers: [60, 20, 30] Generated Node #2: [60, 20, 30] from Operation: 22+8=30 Current State: 70:[60, 20, 30], Operations: ['22+8=30'] Exploring Operation: 60-20=40, Resulting Numbers: [30, 40] Generated Node #3: [30, 40] from Operation: 60-20=40 Current State: 70:[30, 40], Operations: ['22+8=30', '60-20=40'] Exploring Operation: 30+40=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 40, 68, 41, 92 ]
30
[ "92-41=51", "40*51=2040", "2040/68=30" ]
Current State: 30:[40, 68, 41, 92], Operations: [] Exploring Operation: 92-41=51, Resulting Numbers: [40, 68, 51] Generated Node #2: [40, 68, 51] from Operation: 92-41=51 Current State: 30:[40, 68, 51], Operations: ['92-41=51'] Exploring Operation: 40*51=2040, Resulting Numbers: [68, 2040] Generated Node #3: [68, 2040] from Operation: 40*51=2040 Current State: 30:[68, 2040], Operations: ['92-41=51', '40*51=2040'] Exploring Operation: 2040/68=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 52, 91, 78, 19 ]
38
[ "91-52=39", "78*19=1482", "1482/39=38" ]
Current State: 38:[52, 91, 78, 19], Operations: [] Exploring Operation: 91-52=39, Resulting Numbers: [78, 19, 39] Generated Node #2: [78, 19, 39] from Operation: 91-52=39 Current State: 38:[78, 19, 39], Operations: ['91-52=39'] Exploring Operation: 78*19=1482, Resulting Numbers: [39, 1482] Generated Node #3: [39, 1482] from Operation: 78*19=1482 Current State: 38:[39, 1482], Operations: ['91-52=39', '78*19=1482'] Exploring Operation: 1482/39=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 34, 67, 44, 3 ]
35
[ "67-44=23", "3*23=69", "69-34=35" ]
Current State: 35:[34, 67, 44, 3], Operations: [] Exploring Operation: 67-44=23, Resulting Numbers: [34, 3, 23] Generated Node #2: [34, 3, 23] from Operation: 67-44=23 Current State: 35:[34, 3, 23], Operations: ['67-44=23'] Exploring Operation: 3*23=69, Resulting Numbers: [34, 69] Generated Node #3: [34, 69] from Operation: 3*23=69 Current State: 35:[34, 69], Operations: ['67-44=23', '3*23=69'] Exploring Operation: 69-34=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 42, 8, 30, 36 ]
16
[ "42+8=50", "30+36=66", "66-50=16" ]
Current State: 16:[42, 8, 30, 36], Operations: [] Exploring Operation: 42+8=50, Resulting Numbers: [30, 36, 50] Generated Node #2: [30, 36, 50] from Operation: 42+8=50 Current State: 16:[30, 36, 50], Operations: ['42+8=50'] Exploring Operation: 30+36=66, Resulting Numbers: [50, 66] Generated Node #3: [50, 66] from Operation: 30+36=66 Current State: 16:[50, 66], Operations: ['42+8=50', '30+36=66'] Exploring Operation: 66-50=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 75, 3, 32, 8 ]
17
[ "75-32=43", "8+43=51", "51/3=17" ]
Current State: 17:[75, 3, 32, 8], Operations: [] Exploring Operation: 75-32=43, Resulting Numbers: [3, 8, 43] Generated Node #2: [3, 8, 43] from Operation: 75-32=43 Current State: 17:[3, 8, 43], Operations: ['75-32=43'] Exploring Operation: 8+43=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 8+43=51 Current State: 17:[3, 51], Operations: ['75-32=43', '8+43=51'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 92, 21, 6, 45 ]
95
[ "21-6=15", "45/15=3", "92+3=95" ]
Current State: 95:[92, 21, 6, 45], Operations: [] Exploring Operation: 21-6=15, Resulting Numbers: [92, 45, 15] Generated Node #2: [92, 45, 15] from Operation: 21-6=15 Current State: 95:[92, 45, 15], Operations: ['21-6=15'] Exploring Operation: 45/15=3, Resulting Numbers: [92, 3] Generated Node #3: [92, 3] from Operation: 45/15=3 Current State: 95:[92, 3], Operations: ['21-6=15', '45/15=3'] Exploring Operation: 92+3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 71, 56, 54, 97 ]
13
[ "97-71=26", "56-54=2", "26/2=13" ]
Current State: 13:[71, 56, 54, 97], Operations: [] Exploring Operation: 97-71=26, Resulting Numbers: [56, 54, 26] Generated Node #2: [56, 54, 26] from Operation: 97-71=26 Current State: 13:[56, 54, 26], Operations: ['97-71=26'] Exploring Operation: 56-54=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 56-54=2 Current State: 13:[26, 2], Operations: ['97-71=26', '56-54=2'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 50, 82, 42, 35 ]
10
[ "82-42=40", "40-35=5", "50/5=10" ]
Current State: 10:[50, 82, 42, 35], Operations: [] Exploring Operation: 82-42=40, Resulting Numbers: [50, 35, 40] Generated Node #2: [50, 35, 40] from Operation: 82-42=40 Current State: 10:[50, 35, 40], Operations: ['82-42=40'] Exploring Operation: 40-35=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 40-35=5 Current State: 10:[50, 5], Operations: ['82-42=40', '40-35=5'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 93, 58, 73, 9 ]
87
[ "93+58=151", "73-9=64", "151-64=87" ]
Current State: 87:[93, 58, 73, 9], Operations: [] Exploring Operation: 93+58=151, Resulting Numbers: [73, 9, 151] Generated Node #2: [73, 9, 151] from Operation: 93+58=151 Current State: 87:[73, 9, 151], Operations: ['93+58=151'] Exploring Operation: 73-9=64, Resulting Numbers: [151, 64] Generated Node #3: [151, 64] from Operation: 73-9=64 Current State: 87:[151, 64], Operations: ['93+58=151', '73-9=64'] Exploring Operation: 151-64=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 10, 50, 49, 37 ]
70
[ "49-37=12", "10*12=120", "120-50=70" ]
Current State: 70:[10, 50, 49, 37], Operations: [] Exploring Operation: 49-37=12, Resulting Numbers: [10, 50, 12] Generated Node #2: [10, 50, 12] from Operation: 49-37=12 Current State: 70:[10, 50, 12], Operations: ['49-37=12'] Exploring Operation: 10*12=120, Resulting Numbers: [50, 120] Generated Node #3: [50, 120] from Operation: 10*12=120 Current State: 70:[50, 120], Operations: ['49-37=12', '10*12=120'] Exploring Operation: 120-50=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 56, 25, 98, 48 ]
58
[ "98-48=50", "50/25=2", "56+2=58" ]
Current State: 58:[56, 25, 98, 48], Operations: [] Exploring Operation: 98-48=50, Resulting Numbers: [56, 25, 50] Generated Node #2: [56, 25, 50] from Operation: 98-48=50 Current State: 58:[56, 25, 50], Operations: ['98-48=50'] Exploring Operation: 50/25=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 50/25=2 Current State: 58:[56, 2], Operations: ['98-48=50', '50/25=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 14, 98, 85, 29 ]
30
[ "98-14=84", "85+29=114", "114-84=30" ]
Current State: 30:[14, 98, 85, 29], Operations: [] Exploring Operation: 98-14=84, Resulting Numbers: [85, 29, 84] Generated Node #2: [85, 29, 84] from Operation: 98-14=84 Current State: 30:[85, 29, 84], Operations: ['98-14=84'] Exploring Operation: 85+29=114, Resulting Numbers: [84, 114] Generated Node #3: [84, 114] from Operation: 85+29=114 Current State: 30:[84, 114], Operations: ['98-14=84', '85+29=114'] Exploring Operation: 114-84=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 29, 28, 25, 10 ]
41
[ "28*25=700", "700/10=70", "70-29=41" ]
Current State: 41:[29, 28, 25, 10], Operations: [] Exploring Operation: 28*25=700, Resulting Numbers: [29, 10, 700] Generated Node #2: [29, 10, 700] from Operation: 28*25=700 Current State: 41:[29, 10, 700], Operations: ['28*25=700'] Exploring Operation: 700/10=70, Resulting Numbers: [29, 70] Generated Node #3: [29, 70] from Operation: 700/10=70 Current State: 41:[29, 70], Operations: ['28*25=700', '700/10=70'] Exploring Operation: 70-29=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 48, 72, 60, 23 ]
30
[ "48-23=25", "72*25=1800", "1800/60=30" ]
Current State: 30:[48, 72, 60, 23], Operations: [] Exploring Operation: 48-23=25, Resulting Numbers: [72, 60, 25] Generated Node #2: [72, 60, 25] from Operation: 48-23=25 Current State: 30:[72, 60, 25], Operations: ['48-23=25'] Exploring Operation: 72*25=1800, Resulting Numbers: [60, 1800] Generated Node #3: [60, 1800] from Operation: 72*25=1800 Current State: 30:[60, 1800], Operations: ['48-23=25', '72*25=1800'] Exploring Operation: 1800/60=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 35, 29, 57, 25 ]
93
[ "35-29=6", "25*6=150", "150-57=93" ]
Current State: 93:[35, 29, 57, 25], Operations: [] Exploring Operation: 35-29=6, Resulting Numbers: [57, 25, 6] Generated Node #2: [57, 25, 6] from Operation: 35-29=6 Current State: 93:[57, 25, 6], Operations: ['35-29=6'] Exploring Operation: 25*6=150, Resulting Numbers: [57, 150] Generated Node #3: [57, 150] from Operation: 25*6=150 Current State: 93:[57, 150], Operations: ['35-29=6', '25*6=150'] Exploring Operation: 150-57=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 2, 46, 43 ]
36
[ "46-21=25", "43-25=18", "2*18=36" ]
Current State: 36:[21, 2, 46, 43], Operations: [] Exploring Operation: 46-21=25, Resulting Numbers: [2, 43, 25] Generated Node #2: [2, 43, 25] from Operation: 46-21=25 Current State: 36:[2, 43, 25], Operations: ['46-21=25'] Exploring Operation: 43-25=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 43-25=18 Current State: 36:[2, 18], Operations: ['46-21=25', '43-25=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 35, 48, 88, 64 ]
70
[ "35*48=1680", "88-64=24", "1680/24=70" ]
Current State: 70:[35, 48, 88, 64], Operations: [] Exploring Operation: 35*48=1680, Resulting Numbers: [88, 64, 1680] Generated Node #2: [88, 64, 1680] from Operation: 35*48=1680 Current State: 70:[88, 64, 1680], Operations: ['35*48=1680'] Exploring Operation: 88-64=24, Resulting Numbers: [1680, 24] Generated Node #3: [1680, 24] from Operation: 88-64=24 Current State: 70:[1680, 24], Operations: ['35*48=1680', '88-64=24'] Exploring Operation: 1680/24=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 51, 98, 21, 51 ]
78
[ "51/51=1", "98-21=77", "1+77=78" ]
Current State: 78:[51, 98, 21, 51], Operations: [] Exploring Operation: 51/51=1, Resulting Numbers: [98, 21, 1] Generated Node #2: [98, 21, 1] from Operation: 51/51=1 Current State: 78:[98, 21, 1], Operations: ['51/51=1'] Exploring Operation: 98-21=77, Resulting Numbers: [1, 77] Generated Node #3: [1, 77] from Operation: 98-21=77 Current State: 78:[1, 77], Operations: ['51/51=1', '98-21=77'] Exploring Operation: 1+77=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 77, 69, 41, 59 ]
67
[ "77+41=118", "118/59=2", "69-2=67" ]
Current State: 67:[77, 69, 41, 59], Operations: [] Exploring Operation: 77+41=118, Resulting Numbers: [69, 59, 118] Generated Node #2: [69, 59, 118] from Operation: 77+41=118 Current State: 67:[69, 59, 118], Operations: ['77+41=118'] Exploring Operation: 118/59=2, Resulting Numbers: [69, 2] Generated Node #3: [69, 2] from Operation: 118/59=2 Current State: 67:[69, 2], Operations: ['77+41=118', '118/59=2'] Exploring Operation: 69-2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 17, 33, 71, 44 ]
99
[ "33-17=16", "71+44=115", "115-16=99" ]
Current State: 99:[17, 33, 71, 44], Operations: [] Exploring Operation: 33-17=16, Resulting Numbers: [71, 44, 16] Generated Node #2: [71, 44, 16] from Operation: 33-17=16 Current State: 99:[71, 44, 16], Operations: ['33-17=16'] Exploring Operation: 71+44=115, Resulting Numbers: [16, 115] Generated Node #3: [16, 115] from Operation: 71+44=115 Current State: 99:[16, 115], Operations: ['33-17=16', '71+44=115'] Exploring Operation: 115-16=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 55, 29, 88, 3 ]
38
[ "55-29=26", "88+26=114", "114/3=38" ]
Current State: 38:[55, 29, 88, 3], Operations: [] Exploring Operation: 55-29=26, Resulting Numbers: [88, 3, 26] Generated Node #2: [88, 3, 26] from Operation: 55-29=26 Current State: 38:[88, 3, 26], Operations: ['55-29=26'] Exploring Operation: 88+26=114, Resulting Numbers: [3, 114] Generated Node #3: [3, 114] from Operation: 88+26=114 Current State: 38:[3, 114], Operations: ['55-29=26', '88+26=114'] Exploring Operation: 114/3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 57, 88, 86, 58 ]
86
[ "86-57=29", "58/29=2", "88-2=86" ]
Current State: 86:[57, 88, 86, 58], Operations: [] Exploring Operation: 86-57=29, Resulting Numbers: [88, 58, 29] Generated Node #2: [88, 58, 29] from Operation: 86-57=29 Current State: 86:[88, 58, 29], Operations: ['86-57=29'] Exploring Operation: 58/29=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 58/29=2 Current State: 86:[88, 2], Operations: ['86-57=29', '58/29=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 6, 8, 16, 46 ]
88
[ "46-6=40", "8*16=128", "128-40=88" ]
Current State: 88:[6, 8, 16, 46], Operations: [] Exploring Operation: 46-6=40, Resulting Numbers: [8, 16, 40] Generated Node #2: [8, 16, 40] from Operation: 46-6=40 Current State: 88:[8, 16, 40], Operations: ['46-6=40'] Exploring Operation: 8*16=128, Resulting Numbers: [40, 128] Generated Node #3: [40, 128] from Operation: 8*16=128 Current State: 88:[40, 128], Operations: ['46-6=40', '8*16=128'] Exploring Operation: 128-40=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 45, 33, 50, 99 ]
65
[ "45*33=1485", "1485/99=15", "50+15=65" ]
Current State: 65:[45, 33, 50, 99], Operations: [] Exploring Operation: 45*33=1485, Resulting Numbers: [50, 99, 1485] Generated Node #2: [50, 99, 1485] from Operation: 45*33=1485 Current State: 65:[50, 99, 1485], Operations: ['45*33=1485'] Exploring Operation: 1485/99=15, Resulting Numbers: [50, 15] Generated Node #3: [50, 15] from Operation: 1485/99=15 Current State: 65:[50, 15], Operations: ['45*33=1485', '1485/99=15'] Exploring Operation: 50+15=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 7, 79, 9, 90 ]
96
[ "7+79=86", "90/9=10", "86+10=96" ]
Current State: 96:[7, 79, 9, 90], Operations: [] Exploring Operation: 7+79=86, Resulting Numbers: [9, 90, 86] Generated Node #2: [9, 90, 86] from Operation: 7+79=86 Current State: 96:[9, 90, 86], Operations: ['7+79=86'] Exploring Operation: 90/9=10, Resulting Numbers: [86, 10] Generated Node #3: [86, 10] from Operation: 90/9=10 Current State: 96:[86, 10], Operations: ['7+79=86', '90/9=10'] Exploring Operation: 86+10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 15, 91, 86, 61 ]
84
[ "91-61=30", "30/15=2", "86-2=84" ]
Current State: 84:[15, 91, 86, 61], Operations: [] Exploring Operation: 91-61=30, Resulting Numbers: [15, 86, 30] Generated Node #2: [15, 86, 30] from Operation: 91-61=30 Current State: 84:[15, 86, 30], Operations: ['91-61=30'] Exploring Operation: 30/15=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 30/15=2 Current State: 84:[86, 2], Operations: ['91-61=30', '30/15=2'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 96, 24, 88, 94 ]
68
[ "96-94=2", "88/2=44", "24+44=68" ]
Current State: 68:[96, 24, 88, 94], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [24, 88, 2] Generated Node #2: [24, 88, 2] from Operation: 96-94=2 Current State: 68:[24, 88, 2], Operations: ['96-94=2'] Exploring Operation: 88/2=44, Resulting Numbers: [24, 44] Generated Node #3: [24, 44] from Operation: 88/2=44 Current State: 68:[24, 44], Operations: ['96-94=2', '88/2=44'] Exploring Operation: 24+44=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 71, 58, 79, 21 ]
87
[ "71-58=13", "79+21=100", "100-13=87" ]
Current State: 87:[71, 58, 79, 21], Operations: [] Exploring Operation: 71-58=13, Resulting Numbers: [79, 21, 13] Generated Node #2: [79, 21, 13] from Operation: 71-58=13 Current State: 87:[79, 21, 13], Operations: ['71-58=13'] Exploring Operation: 79+21=100, Resulting Numbers: [13, 100] Generated Node #3: [13, 100] from Operation: 79+21=100 Current State: 87:[13, 100], Operations: ['71-58=13', '79+21=100'] Exploring Operation: 100-13=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 54, 7, 72, 66 ]
12
[ "72-54=18", "66+18=84", "84/7=12" ]
Current State: 12:[54, 7, 72, 66], Operations: [] Exploring Operation: 72-54=18, Resulting Numbers: [7, 66, 18] Generated Node #2: [7, 66, 18] from Operation: 72-54=18 Current State: 12:[7, 66, 18], Operations: ['72-54=18'] Exploring Operation: 66+18=84, Resulting Numbers: [7, 84] Generated Node #3: [7, 84] from Operation: 66+18=84 Current State: 12:[7, 84], Operations: ['72-54=18', '66+18=84'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 13, 92, 19, 75 ]
23
[ "92-13=79", "75-19=56", "79-56=23" ]
Current State: 23:[13, 92, 19, 75], Operations: [] Exploring Operation: 92-13=79, Resulting Numbers: [19, 75, 79] Generated Node #2: [19, 75, 79] from Operation: 92-13=79 Current State: 23:[19, 75, 79], Operations: ['92-13=79'] Exploring Operation: 75-19=56, Resulting Numbers: [79, 56] Generated Node #3: [79, 56] from Operation: 75-19=56 Current State: 23:[79, 56], Operations: ['92-13=79', '75-19=56'] Exploring Operation: 79-56=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 89, 29, 8, 36 ]
89
[ "29+8=37", "37-36=1", "89*1=89" ]
Current State: 89:[89, 29, 8, 36], Operations: [] Exploring Operation: 29+8=37, Resulting Numbers: [89, 36, 37] Generated Node #2: [89, 36, 37] from Operation: 29+8=37 Current State: 89:[89, 36, 37], Operations: ['29+8=37'] Exploring Operation: 37-36=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 37-36=1 Current State: 89:[89, 1], Operations: ['29+8=37', '37-36=1'] Exploring Operation: 89*1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 83, 91, 10, 12 ]
16
[ "91-83=8", "12-10=2", "8*2=16" ]
Current State: 16:[83, 91, 10, 12], Operations: [] Exploring Operation: 91-83=8, Resulting Numbers: [10, 12, 8] Generated Node #2: [10, 12, 8] from Operation: 91-83=8 Current State: 16:[10, 12, 8], Operations: ['91-83=8'] Exploring Operation: 12-10=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 12-10=2 Current State: 16:[8, 2], Operations: ['91-83=8', '12-10=2'] Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 54, 59, 95, 20 ]
70
[ "59-54=5", "95-20=75", "75-5=70" ]
Current State: 70:[54, 59, 95, 20], Operations: [] Exploring Operation: 59-54=5, Resulting Numbers: [95, 20, 5] Generated Node #2: [95, 20, 5] from Operation: 59-54=5 Current State: 70:[95, 20, 5], Operations: ['59-54=5'] Exploring Operation: 95-20=75, Resulting Numbers: [5, 75] Generated Node #3: [5, 75] from Operation: 95-20=75 Current State: 70:[5, 75], Operations: ['59-54=5', '95-20=75'] Exploring Operation: 75-5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 30, 75, 56, 14 ]
35
[ "30+75=105", "56+14=70", "105-70=35" ]
Current State: 35:[30, 75, 56, 14], Operations: [] Exploring Operation: 30+75=105, Resulting Numbers: [56, 14, 105] Generated Node #2: [56, 14, 105] from Operation: 30+75=105 Current State: 35:[56, 14, 105], Operations: ['30+75=105'] Exploring Operation: 56+14=70, Resulting Numbers: [105, 70] Generated Node #3: [105, 70] from Operation: 56+14=70 Current State: 35:[105, 70], Operations: ['30+75=105', '56+14=70'] Exploring Operation: 105-70=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 15, 86, 21, 26 ]
76
[ "86-15=71", "26-21=5", "71+5=76" ]
Current State: 76:[15, 86, 21, 26], Operations: [] Exploring Operation: 86-15=71, Resulting Numbers: [21, 26, 71] Generated Node #2: [21, 26, 71] from Operation: 86-15=71 Current State: 76:[21, 26, 71], Operations: ['86-15=71'] Exploring Operation: 26-21=5, Resulting Numbers: [71, 5] Generated Node #3: [71, 5] from Operation: 26-21=5 Current State: 76:[71, 5], Operations: ['86-15=71', '26-21=5'] Exploring Operation: 71+5=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 28, 62, 9, 12 ]
37
[ "62-28=34", "12-9=3", "34+3=37" ]
Current State: 37:[28, 62, 9, 12], Operations: [] Exploring Operation: 62-28=34, Resulting Numbers: [9, 12, 34] Generated Node #2: [9, 12, 34] from Operation: 62-28=34 Current State: 37:[9, 12, 34], Operations: ['62-28=34'] Exploring Operation: 12-9=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 12-9=3 Current State: 37:[34, 3], Operations: ['62-28=34', '12-9=3'] Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 23, 33, 52, 19 ]
46
[ "23-19=4", "52/4=13", "33+13=46" ]
Current State: 46:[23, 33, 52, 19], Operations: [] Exploring Operation: 23-19=4, Resulting Numbers: [33, 52, 4] Generated Node #2: [33, 52, 4] from Operation: 23-19=4 Current State: 46:[33, 52, 4], Operations: ['23-19=4'] Exploring Operation: 52/4=13, Resulting Numbers: [33, 13] Generated Node #3: [33, 13] from Operation: 52/4=13 Current State: 46:[33, 13], Operations: ['23-19=4', '52/4=13'] Exploring Operation: 33+13=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 79, 4, 69, 13 ]
19
[ "79*4=316", "316-69=247", "247/13=19" ]
Current State: 19:[79, 4, 69, 13], Operations: [] Exploring Operation: 79*4=316, Resulting Numbers: [69, 13, 316] Generated Node #2: [69, 13, 316] from Operation: 79*4=316 Current State: 19:[69, 13, 316], Operations: ['79*4=316'] Exploring Operation: 316-69=247, Resulting Numbers: [13, 247] Generated Node #3: [13, 247] from Operation: 316-69=247 Current State: 19:[13, 247], Operations: ['79*4=316', '316-69=247'] Exploring Operation: 247/13=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 11, 90, 84, 70 ]
53
[ "11+90=101", "84+70=154", "154-101=53" ]
Current State: 53:[11, 90, 84, 70], Operations: [] Exploring Operation: 11+90=101, Resulting Numbers: [84, 70, 101] Generated Node #2: [84, 70, 101] from Operation: 11+90=101 Current State: 53:[84, 70, 101], Operations: ['11+90=101'] Exploring Operation: 84+70=154, Resulting Numbers: [101, 154] Generated Node #3: [101, 154] from Operation: 84+70=154 Current State: 53:[101, 154], Operations: ['11+90=101', '84+70=154'] Exploring Operation: 154-101=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 94, 58, 68, 63 ]
95
[ "94-58=36", "68+63=131", "131-36=95" ]
Current State: 95:[94, 58, 68, 63], Operations: [] Exploring Operation: 94-58=36, Resulting Numbers: [68, 63, 36] Generated Node #2: [68, 63, 36] from Operation: 94-58=36 Current State: 95:[68, 63, 36], Operations: ['94-58=36'] Exploring Operation: 68+63=131, Resulting Numbers: [36, 131] Generated Node #3: [36, 131] from Operation: 68+63=131 Current State: 95:[36, 131], Operations: ['94-58=36', '68+63=131'] Exploring Operation: 131-36=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 16, 72, 42, 18 ]
62
[ "16+42=58", "72/18=4", "58+4=62" ]
Current State: 62:[16, 72, 42, 18], Operations: [] Exploring Operation: 16+42=58, Resulting Numbers: [72, 18, 58] Generated Node #2: [72, 18, 58] from Operation: 16+42=58 Current State: 62:[72, 18, 58], Operations: ['16+42=58'] Exploring Operation: 72/18=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 72/18=4 Current State: 62:[58, 4], Operations: ['16+42=58', '72/18=4'] Exploring Operation: 58+4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 60, 5, 57, 7 ]
62
[ "60/5=12", "57-7=50", "12+50=62" ]
Current State: 62:[60, 5, 57, 7], Operations: [] Exploring Operation: 60/5=12, Resulting Numbers: [57, 7, 12] Generated Node #2: [57, 7, 12] from Operation: 60/5=12 Current State: 62:[57, 7, 12], Operations: ['60/5=12'] Exploring Operation: 57-7=50, Resulting Numbers: [12, 50] Generated Node #3: [12, 50] from Operation: 57-7=50 Current State: 62:[12, 50], Operations: ['60/5=12', '57-7=50'] Exploring Operation: 12+50=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 51, 3, 63, 14 ]
97
[ "51-3=48", "63-14=49", "48+49=97" ]
Current State: 97:[51, 3, 63, 14], Operations: [] Exploring Operation: 51-3=48, Resulting Numbers: [63, 14, 48] Generated Node #2: [63, 14, 48] from Operation: 51-3=48 Current State: 97:[63, 14, 48], Operations: ['51-3=48'] Exploring Operation: 63-14=49, Resulting Numbers: [48, 49] Generated Node #3: [48, 49] from Operation: 63-14=49 Current State: 97:[48, 49], Operations: ['51-3=48', '63-14=49'] Exploring Operation: 48+49=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 4, 9, 3, 21 ]
63
[ "4*3=12", "12-9=3", "21*3=63" ]
Current State: 63:[4, 9, 3, 21], Operations: [] Exploring Operation: 4*3=12, Resulting Numbers: [9, 21, 12] Generated Node #2: [9, 21, 12] from Operation: 4*3=12 Current State: 63:[9, 21, 12], Operations: ['4*3=12'] Exploring Operation: 12-9=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 12-9=3 Current State: 63:[21, 3], Operations: ['4*3=12', '12-9=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 33, 36, 43, 84 ]
28
[ "33+36=69", "84-43=41", "69-41=28" ]
Current State: 28:[33, 36, 43, 84], Operations: [] Exploring Operation: 33+36=69, Resulting Numbers: [43, 84, 69] Generated Node #2: [43, 84, 69] from Operation: 33+36=69 Current State: 28:[43, 84, 69], Operations: ['33+36=69'] Exploring Operation: 84-43=41, Resulting Numbers: [69, 41] Generated Node #3: [69, 41] from Operation: 84-43=41 Current State: 28:[69, 41], Operations: ['33+36=69', '84-43=41'] Exploring Operation: 69-41=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 1, 93, 29, 4 ]
17
[ "93-29=64", "64/4=16", "1+16=17" ]
Current State: 17:[1, 93, 29, 4], Operations: [] Exploring Operation: 93-29=64, Resulting Numbers: [1, 4, 64] Generated Node #2: [1, 4, 64] from Operation: 93-29=64 Current State: 17:[1, 4, 64], Operations: ['93-29=64'] Exploring Operation: 64/4=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 64/4=16 Current State: 17:[1, 16], Operations: ['93-29=64', '64/4=16'] Exploring Operation: 1+16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 62, 8, 86, 55 ]
71
[ "62+8=70", "86+55=141", "141-70=71" ]
Current State: 71:[62, 8, 86, 55], Operations: [] Exploring Operation: 62+8=70, Resulting Numbers: [86, 55, 70] Generated Node #2: [86, 55, 70] from Operation: 62+8=70 Current State: 71:[86, 55, 70], Operations: ['62+8=70'] Exploring Operation: 86+55=141, Resulting Numbers: [70, 141] Generated Node #3: [70, 141] from Operation: 86+55=141 Current State: 71:[70, 141], Operations: ['62+8=70', '86+55=141'] Exploring Operation: 141-70=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 20, 94, 38, 44 ]
17
[ "94+38=132", "132/44=3", "20-3=17" ]
Current State: 17:[20, 94, 38, 44], Operations: [] Exploring Operation: 94+38=132, Resulting Numbers: [20, 44, 132] Generated Node #2: [20, 44, 132] from Operation: 94+38=132 Current State: 17:[20, 44, 132], Operations: ['94+38=132'] Exploring Operation: 132/44=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 132/44=3 Current State: 17:[20, 3], Operations: ['94+38=132', '132/44=3'] Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 76, 66, 35, 90 ]
17
[ "76+66=142", "35+90=125", "142-125=17" ]
Current State: 17:[76, 66, 35, 90], Operations: [] Exploring Operation: 76+66=142, Resulting Numbers: [35, 90, 142] Generated Node #2: [35, 90, 142] from Operation: 76+66=142 Current State: 17:[35, 90, 142], Operations: ['76+66=142'] Exploring Operation: 35+90=125, Resulting Numbers: [142, 125] Generated Node #3: [142, 125] from Operation: 35+90=125 Current State: 17:[142, 125], Operations: ['76+66=142', '35+90=125'] Exploring Operation: 142-125=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 45, 6, 28, 54 ]
25
[ "45+6=51", "54-28=26", "51-26=25" ]
Current State: 25:[45, 6, 28, 54], Operations: [] Exploring Operation: 45+6=51, Resulting Numbers: [28, 54, 51] Generated Node #2: [28, 54, 51] from Operation: 45+6=51 Current State: 25:[28, 54, 51], Operations: ['45+6=51'] Exploring Operation: 54-28=26, Resulting Numbers: [51, 26] Generated Node #3: [51, 26] from Operation: 54-28=26 Current State: 25:[51, 26], Operations: ['45+6=51', '54-28=26'] Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 24, 66, 22, 33 ]
53
[ "66-24=42", "33-22=11", "42+11=53" ]
Current State: 53:[24, 66, 22, 33], Operations: [] Exploring Operation: 66-24=42, Resulting Numbers: [22, 33, 42] Generated Node #2: [22, 33, 42] from Operation: 66-24=42 Current State: 53:[22, 33, 42], Operations: ['66-24=42'] Exploring Operation: 33-22=11, Resulting Numbers: [42, 11] Generated Node #3: [42, 11] from Operation: 33-22=11 Current State: 53:[42, 11], Operations: ['66-24=42', '33-22=11'] Exploring Operation: 42+11=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 82, 36, 88, 26 ]
60
[ "88-82=6", "36-26=10", "6*10=60" ]
Current State: 60:[82, 36, 88, 26], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [36, 26, 6] Generated Node #2: [36, 26, 6] from Operation: 88-82=6 Current State: 60:[36, 26, 6], Operations: ['88-82=6'] Exploring Operation: 36-26=10, Resulting Numbers: [6, 10] Generated Node #3: [6, 10] from Operation: 36-26=10 Current State: 60:[6, 10], Operations: ['88-82=6', '36-26=10'] Exploring Operation: 6*10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 74, 38, 56, 1 ]
57
[ "74+38=112", "56-1=55", "112-55=57" ]
Current State: 57:[74, 38, 56, 1], Operations: [] Exploring Operation: 74+38=112, Resulting Numbers: [56, 1, 112] Generated Node #2: [56, 1, 112] from Operation: 74+38=112 Current State: 57:[56, 1, 112], Operations: ['74+38=112'] Exploring Operation: 56-1=55, Resulting Numbers: [112, 55] Generated Node #3: [112, 55] from Operation: 56-1=55 Current State: 57:[112, 55], Operations: ['74+38=112', '56-1=55'] Exploring Operation: 112-55=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 31, 51, 22, 26 ]
68
[ "51-31=20", "22+26=48", "20+48=68" ]
Current State: 68:[31, 51, 22, 26], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [22, 26, 20] Generated Node #2: [22, 26, 20] from Operation: 51-31=20 Current State: 68:[22, 26, 20], Operations: ['51-31=20'] Exploring Operation: 22+26=48, Resulting Numbers: [20, 48] Generated Node #3: [20, 48] from Operation: 22+26=48 Current State: 68:[20, 48], Operations: ['51-31=20', '22+26=48'] Exploring Operation: 20+48=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 49, 26, 77, 79 ]
21
[ "49-26=23", "79-77=2", "23-2=21" ]
Current State: 21:[49, 26, 77, 79], Operations: [] Exploring Operation: 49-26=23, Resulting Numbers: [77, 79, 23] Generated Node #2: [77, 79, 23] from Operation: 49-26=23 Current State: 21:[77, 79, 23], Operations: ['49-26=23'] Exploring Operation: 79-77=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 79-77=2 Current State: 21:[23, 2], Operations: ['49-26=23', '79-77=2'] Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 66, 68, 35, 44 ]
42
[ "68-35=33", "66/33=2", "44-2=42" ]
Current State: 42:[66, 68, 35, 44], Operations: [] Exploring Operation: 68-35=33, Resulting Numbers: [66, 44, 33] Generated Node #2: [66, 44, 33] from Operation: 68-35=33 Current State: 42:[66, 44, 33], Operations: ['68-35=33'] Exploring Operation: 66/33=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 66/33=2 Current State: 42:[44, 2], Operations: ['68-35=33', '66/33=2'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 4, 42, 76, 62 ]
31
[ "42-4=38", "76/38=2", "62/2=31" ]
Current State: 31:[4, 42, 76, 62], Operations: [] Exploring Operation: 42-4=38, Resulting Numbers: [76, 62, 38] Generated Node #2: [76, 62, 38] from Operation: 42-4=38 Current State: 31:[76, 62, 38], Operations: ['42-4=38'] Exploring Operation: 76/38=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 76/38=2 Current State: 31:[62, 2], Operations: ['42-4=38', '76/38=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 81, 63, 2, 80 ]
16
[ "81+63=144", "2*80=160", "160-144=16" ]
Current State: 16:[81, 63, 2, 80], Operations: [] Exploring Operation: 81+63=144, Resulting Numbers: [2, 80, 144] Generated Node #2: [2, 80, 144] from Operation: 81+63=144 Current State: 16:[2, 80, 144], Operations: ['81+63=144'] Exploring Operation: 2*80=160, Resulting Numbers: [144, 160] Generated Node #3: [144, 160] from Operation: 2*80=160 Current State: 16:[144, 160], Operations: ['81+63=144', '2*80=160'] Exploring Operation: 160-144=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 69, 88, 4, 5 ]
99
[ "88-69=19", "5*19=95", "4+95=99" ]
Current State: 99:[69, 88, 4, 5], Operations: [] Exploring Operation: 88-69=19, Resulting Numbers: [4, 5, 19] Generated Node #2: [4, 5, 19] from Operation: 88-69=19 Current State: 99:[4, 5, 19], Operations: ['88-69=19'] Exploring Operation: 5*19=95, Resulting Numbers: [4, 95] Generated Node #3: [4, 95] from Operation: 5*19=95 Current State: 99:[4, 95], Operations: ['88-69=19', '5*19=95'] Exploring Operation: 4+95=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4