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
[ 10, 90, 63, 72 ]
79
[ "90/10=9", "63/9=7", "72+7=79" ]
Current State: 79:[10, 90, 63, 72], Operations: [] Exploring Operation: 90/10=9, Resulting Numbers: [63, 72, 9] Generated Node #2: [63, 72, 9] from Operation: 90/10=9 Current State: 79:[63, 72, 9], Operations: ['90/10=9'] Exploring Operation: 63/9=7, Resulting Numbers: [72, 7] Generated Node #3: [72, 7] from Operation: 63/9=7 Current State: 79:[72, 7], Operations: ['90/10=9', '63/9=7'] Exploring Operation: 72+7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 84, 79, 53, 71 ]
23
[ "84-79=5", "71-53=18", "5+18=23" ]
Current State: 23:[84, 79, 53, 71], Operations: [] Exploring Operation: 84-79=5, Resulting Numbers: [53, 71, 5] Generated Node #2: [53, 71, 5] from Operation: 84-79=5 Current State: 23:[53, 71, 5], Operations: ['84-79=5'] Exploring Operation: 71-53=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 71-53=18 Current State: 23:[5, 18], Operations: ['84-79=5', '71-53=18'] Exploring Operation: 5+18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 15, 4, 11 ]
47
[ "2+11=13", "15*4=60", "60-13=47" ]
Current State: 47:[2, 15, 4, 11], Operations: [] Exploring Operation: 2+11=13, Resulting Numbers: [15, 4, 13] Generated Node #2: [15, 4, 13] from Operation: 2+11=13 Current State: 47:[15, 4, 13], Operations: ['2+11=13'] Exploring Operation: 15*4=60, Resulting Numbers: [13, 60] Generated Node #3: [13, 60] from Operation: 15*4=60 Current State: 47:[13, 60], Operations: ['2+11=13', '15*4=60'] Exploring Operation: 60-13=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 36, 49, 9, 16 ]
27
[ "49-36=13", "16-13=3", "9*3=27" ]
Current State: 27:[36, 49, 9, 16], Operations: [] Exploring Operation: 49-36=13, Resulting Numbers: [9, 16, 13] Generated Node #2: [9, 16, 13] from Operation: 49-36=13 Current State: 27:[9, 16, 13], Operations: ['49-36=13'] Exploring Operation: 16-13=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 16-13=3 Current State: 27:[9, 3], Operations: ['49-36=13', '16-13=3'] Exploring Operation: 9*3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 70, 14, 11, 5 ]
60
[ "70/14=5", "11*5=55", "5+55=60" ]
Current State: 60:[70, 14, 11, 5], Operations: [] Exploring Operation: 70/14=5, Resulting Numbers: [11, 5, 5] Generated Node #2: [11, 5, 5] from Operation: 70/14=5 Current State: 60:[11, 5, 5], Operations: ['70/14=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,60 equal: Goal Reached Exploring Operation: 5+55=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 33, 45, 20, 59 ]
27
[ "45-33=12", "59-20=39", "39-12=27" ]
Current State: 27:[33, 45, 20, 59], Operations: [] Exploring Operation: 45-33=12, Resulting Numbers: [20, 59, 12] Generated Node #2: [20, 59, 12] from Operation: 45-33=12 Current State: 27:[20, 59, 12], Operations: ['45-33=12'] Exploring Operation: 59-20=39, Resulting Numbers: [12, 39] Generated Node #3: [12, 39] from Operation: 59-20=39 Current State: 27:[12, 39], Operations: ['45-33=12', '59-20=39'] Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 96, 81, 2, 99 ]
39
[ "96+81=177", "177-99=78", "78/2=39" ]
Current State: 39:[96, 81, 2, 99], Operations: [] Exploring Operation: 96+81=177, Resulting Numbers: [2, 99, 177] Generated Node #2: [2, 99, 177] from Operation: 96+81=177 Current State: 39:[2, 99, 177], Operations: ['96+81=177'] Exploring Operation: 177-99=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 177-99=78 Current State: 39:[2, 78], Operations: ['96+81=177', '177-99=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 64, 63, 90, 60 ]
31
[ "64-63=1", "90-60=30", "1+30=31" ]
Current State: 31:[64, 63, 90, 60], Operations: [] Exploring Operation: 64-63=1, Resulting Numbers: [90, 60, 1] Generated Node #2: [90, 60, 1] from Operation: 64-63=1 Current State: 31:[90, 60, 1], Operations: ['64-63=1'] Exploring Operation: 90-60=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 90-60=30 Current State: 31:[1, 30], Operations: ['64-63=1', '90-60=30'] Exploring Operation: 1+30=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 52, 54, 74, 14 ]
23
[ "54-52=2", "74/2=37", "37-14=23" ]
Current State: 23:[52, 54, 74, 14], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [74, 14, 2] Generated Node #2: [74, 14, 2] from Operation: 54-52=2 Current State: 23:[74, 14, 2], Operations: ['54-52=2'] Exploring Operation: 74/2=37, Resulting Numbers: [14, 37] Generated Node #3: [14, 37] from Operation: 74/2=37 Current State: 23:[14, 37], Operations: ['54-52=2', '74/2=37'] Exploring Operation: 37-14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 34, 7, 63 ]
23
[ "34-2=32", "63/7=9", "32-9=23" ]
Current State: 23:[2, 34, 7, 63], Operations: [] Exploring Operation: 34-2=32, Resulting Numbers: [7, 63, 32] Generated Node #2: [7, 63, 32] from Operation: 34-2=32 Current State: 23:[7, 63, 32], Operations: ['34-2=32'] Exploring Operation: 63/7=9, Resulting Numbers: [32, 9] Generated Node #3: [32, 9] from Operation: 63/7=9 Current State: 23:[32, 9], Operations: ['34-2=32', '63/7=9'] Exploring Operation: 32-9=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 53, 66, 47, 62 ]
25
[ "53+47=100", "66-62=4", "100/4=25" ]
Current State: 25:[53, 66, 47, 62], Operations: [] Exploring Operation: 53+47=100, Resulting Numbers: [66, 62, 100] Generated Node #2: [66, 62, 100] from Operation: 53+47=100 Current State: 25:[66, 62, 100], Operations: ['53+47=100'] Exploring Operation: 66-62=4, Resulting Numbers: [100, 4] Generated Node #3: [100, 4] from Operation: 66-62=4 Current State: 25:[100, 4], Operations: ['53+47=100', '66-62=4'] Exploring Operation: 100/4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 35, 90, 15, 79 ]
39
[ "90-35=55", "15+79=94", "94-55=39" ]
Current State: 39:[35, 90, 15, 79], Operations: [] Exploring Operation: 90-35=55, Resulting Numbers: [15, 79, 55] Generated Node #2: [15, 79, 55] from Operation: 90-35=55 Current State: 39:[15, 79, 55], Operations: ['90-35=55'] Exploring Operation: 15+79=94, Resulting Numbers: [55, 94] Generated Node #3: [55, 94] from Operation: 15+79=94 Current State: 39:[55, 94], Operations: ['90-35=55', '15+79=94'] Exploring Operation: 94-55=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 39, 76, 13, 2 ]
14
[ "39+13=52", "76/2=38", "52-38=14" ]
Current State: 14:[39, 76, 13, 2], Operations: [] Exploring Operation: 39+13=52, Resulting Numbers: [76, 2, 52] Generated Node #2: [76, 2, 52] from Operation: 39+13=52 Current State: 14:[76, 2, 52], Operations: ['39+13=52'] Exploring Operation: 76/2=38, Resulting Numbers: [52, 38] Generated Node #3: [52, 38] from Operation: 76/2=38 Current State: 14:[52, 38], Operations: ['39+13=52', '76/2=38'] Exploring Operation: 52-38=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 64, 11, 50 ]
67
[ "50-11=39", "39/13=3", "64+3=67" ]
Current State: 67:[13, 64, 11, 50], Operations: [] Exploring Operation: 50-11=39, Resulting Numbers: [13, 64, 39] Generated Node #2: [13, 64, 39] from Operation: 50-11=39 Current State: 67:[13, 64, 39], Operations: ['50-11=39'] Exploring Operation: 39/13=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 39/13=3 Current State: 67:[64, 3], Operations: ['50-11=39', '39/13=3'] Exploring Operation: 64+3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 57, 23, 43, 28 ]
46
[ "57-43=14", "23*28=644", "644/14=46" ]
Current State: 46:[57, 23, 43, 28], Operations: [] Exploring Operation: 57-43=14, Resulting Numbers: [23, 28, 14] Generated Node #2: [23, 28, 14] from Operation: 57-43=14 Current State: 46:[23, 28, 14], Operations: ['57-43=14'] Exploring Operation: 23*28=644, Resulting Numbers: [14, 644] Generated Node #3: [14, 644] from Operation: 23*28=644 Current State: 46:[14, 644], Operations: ['57-43=14', '23*28=644'] Exploring Operation: 644/14=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 28, 3, 12, 4 ]
19
[ "3*12=36", "36/4=9", "28-9=19" ]
Current State: 19:[28, 3, 12, 4], Operations: [] Exploring Operation: 3*12=36, Resulting Numbers: [28, 4, 36] Generated Node #2: [28, 4, 36] from Operation: 3*12=36 Current State: 19:[28, 4, 36], Operations: ['3*12=36'] Exploring Operation: 36/4=9, Resulting Numbers: [28, 9] Generated Node #3: [28, 9] from Operation: 36/4=9 Current State: 19:[28, 9], Operations: ['3*12=36', '36/4=9'] Exploring Operation: 28-9=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 55, 6, 65, 16 ]
20
[ "55+6=61", "65+16=81", "81-61=20" ]
Current State: 20:[55, 6, 65, 16], Operations: [] Exploring Operation: 55+6=61, Resulting Numbers: [65, 16, 61] Generated Node #2: [65, 16, 61] from Operation: 55+6=61 Current State: 20:[65, 16, 61], Operations: ['55+6=61'] Exploring Operation: 65+16=81, Resulting Numbers: [61, 81] Generated Node #3: [61, 81] from Operation: 65+16=81 Current State: 20:[61, 81], Operations: ['55+6=61', '65+16=81'] Exploring Operation: 81-61=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 13, 14, 34, 43 ]
50
[ "13+14=27", "34+43=77", "77-27=50" ]
Current State: 50:[13, 14, 34, 43], Operations: [] Exploring Operation: 13+14=27, Resulting Numbers: [34, 43, 27] Generated Node #2: [34, 43, 27] from Operation: 13+14=27 Current State: 50:[34, 43, 27], Operations: ['13+14=27'] Exploring Operation: 34+43=77, Resulting Numbers: [27, 77] Generated Node #3: [27, 77] from Operation: 34+43=77 Current State: 50:[27, 77], Operations: ['13+14=27', '34+43=77'] Exploring Operation: 77-27=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 78, 43, 30, 6 ]
25
[ "78+30=108", "108/6=18", "43-18=25" ]
Current State: 25:[78, 43, 30, 6], Operations: [] Exploring Operation: 78+30=108, Resulting Numbers: [43, 6, 108] Generated Node #2: [43, 6, 108] from Operation: 78+30=108 Current State: 25:[43, 6, 108], Operations: ['78+30=108'] Exploring Operation: 108/6=18, Resulting Numbers: [43, 18] Generated Node #3: [43, 18] from Operation: 108/6=18 Current State: 25:[43, 18], Operations: ['78+30=108', '108/6=18'] Exploring Operation: 43-18=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 65, 65, 24, 82 ]
58
[ "65-65=0", "82-24=58", "0+58=58" ]
Current State: 58:[65, 65, 24, 82], Operations: [] Exploring Operation: 65-65=0, Resulting Numbers: [24, 82, 0] Generated Node #2: [24, 82, 0] from Operation: 65-65=0 Current State: 58:[24, 82, 0], Operations: ['65-65=0'] Exploring Operation: 82-24=58, Resulting Numbers: [0, 58] Generated Node #3: [0, 58] from Operation: 82-24=58 Current State: 58:[0, 58], Operations: ['65-65=0', '82-24=58'] Exploring Operation: 0+58=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 66, 68, 60, 96 ]
98
[ "66+68=134", "96-60=36", "134-36=98" ]
Current State: 98:[66, 68, 60, 96], Operations: [] Exploring Operation: 66+68=134, Resulting Numbers: [60, 96, 134] Generated Node #2: [60, 96, 134] from Operation: 66+68=134 Current State: 98:[60, 96, 134], Operations: ['66+68=134'] Exploring Operation: 96-60=36, Resulting Numbers: [134, 36] Generated Node #3: [134, 36] from Operation: 96-60=36 Current State: 98:[134, 36], Operations: ['66+68=134', '96-60=36'] Exploring Operation: 134-36=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 94, 13, 74, 90 ]
22
[ "94-90=4", "13*4=52", "74-52=22" ]
Current State: 22:[94, 13, 74, 90], Operations: [] Exploring Operation: 94-90=4, Resulting Numbers: [13, 74, 4] Generated Node #2: [13, 74, 4] from Operation: 94-90=4 Current State: 22:[13, 74, 4], Operations: ['94-90=4'] Exploring Operation: 13*4=52, Resulting Numbers: [74, 52] Generated Node #3: [74, 52] from Operation: 13*4=52 Current State: 22:[74, 52], Operations: ['94-90=4', '13*4=52'] Exploring Operation: 74-52=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 82, 16, 11, 60 ]
78
[ "60-16=44", "44/11=4", "82-4=78" ]
Current State: 78:[82, 16, 11, 60], Operations: [] Exploring Operation: 60-16=44, Resulting Numbers: [82, 11, 44] Generated Node #2: [82, 11, 44] from Operation: 60-16=44 Current State: 78:[82, 11, 44], Operations: ['60-16=44'] Exploring Operation: 44/11=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 44/11=4 Current State: 78:[82, 4], Operations: ['60-16=44', '44/11=4'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 1, 99, 50, 62 ]
86
[ "99-1=98", "62-50=12", "98-12=86" ]
Current State: 86:[1, 99, 50, 62], Operations: [] Exploring Operation: 99-1=98, Resulting Numbers: [50, 62, 98] Generated Node #2: [50, 62, 98] from Operation: 99-1=98 Current State: 86:[50, 62, 98], Operations: ['99-1=98'] Exploring Operation: 62-50=12, Resulting Numbers: [98, 12] Generated Node #3: [98, 12] from Operation: 62-50=12 Current State: 86:[98, 12], Operations: ['99-1=98', '62-50=12'] Exploring Operation: 98-12=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 89, 60, 85, 40 ]
80
[ "89-85=4", "60-40=20", "4*20=80" ]
Current State: 80:[89, 60, 85, 40], Operations: [] Exploring Operation: 89-85=4, Resulting Numbers: [60, 40, 4] Generated Node #2: [60, 40, 4] from Operation: 89-85=4 Current State: 80:[60, 40, 4], Operations: ['89-85=4'] Exploring Operation: 60-40=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 60-40=20 Current State: 80:[4, 20], Operations: ['89-85=4', '60-40=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 26, 51, 65, 2 ]
33
[ "65-51=14", "14/2=7", "26+7=33" ]
Current State: 33:[26, 51, 65, 2], Operations: [] Exploring Operation: 65-51=14, Resulting Numbers: [26, 2, 14] Generated Node #2: [26, 2, 14] from Operation: 65-51=14 Current State: 33:[26, 2, 14], Operations: ['65-51=14'] Exploring Operation: 14/2=7, Resulting Numbers: [26, 7] Generated Node #3: [26, 7] from Operation: 14/2=7 Current State: 33:[26, 7], Operations: ['65-51=14', '14/2=7'] Exploring Operation: 26+7=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 42, 7, 21, 7 ]
62
[ "42+21=63", "7/7=1", "63-1=62" ]
Current State: 62:[42, 7, 21, 7], Operations: [] Exploring Operation: 42+21=63, Resulting Numbers: [7, 7, 63] Generated Node #2: [7, 7, 63] from Operation: 42+21=63 Current State: 62:[7, 7, 63], Operations: ['42+21=63'] Exploring Operation: 7/7=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 7/7=1 Current State: 62:[63, 1], Operations: ['42+21=63', '7/7=1'] Exploring Operation: 63-1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 32, 15, 24, 78 ]
46
[ "32*24=768", "768-78=690", "690/15=46" ]
Current State: 46:[32, 15, 24, 78], Operations: [] Exploring Operation: 32*24=768, Resulting Numbers: [15, 78, 768] Generated Node #2: [15, 78, 768] from Operation: 32*24=768 Current State: 46:[15, 78, 768], Operations: ['32*24=768'] Exploring Operation: 768-78=690, Resulting Numbers: [15, 690] Generated Node #3: [15, 690] from Operation: 768-78=690 Current State: 46:[15, 690], Operations: ['32*24=768', '768-78=690'] Exploring Operation: 690/15=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 24, 25, 96 ]
40
[ "7+24=31", "96-25=71", "71-31=40" ]
Current State: 40:[7, 24, 25, 96], Operations: [] Exploring Operation: 7+24=31, Resulting Numbers: [25, 96, 31] Generated Node #2: [25, 96, 31] from Operation: 7+24=31 Current State: 40:[25, 96, 31], Operations: ['7+24=31'] Exploring Operation: 96-25=71, Resulting Numbers: [31, 71] Generated Node #3: [31, 71] from Operation: 96-25=71 Current State: 40:[31, 71], Operations: ['7+24=31', '96-25=71'] Exploring Operation: 71-31=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 62, 12, 20, 39 ]
69
[ "62-12=50", "39-20=19", "50+19=69" ]
Current State: 69:[62, 12, 20, 39], Operations: [] Exploring Operation: 62-12=50, Resulting Numbers: [20, 39, 50] Generated Node #2: [20, 39, 50] from Operation: 62-12=50 Current State: 69:[20, 39, 50], Operations: ['62-12=50'] Exploring Operation: 39-20=19, Resulting Numbers: [50, 19] Generated Node #3: [50, 19] from Operation: 39-20=19 Current State: 69:[50, 19], Operations: ['62-12=50', '39-20=19'] Exploring Operation: 50+19=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 3, 51, 97, 15 ]
64
[ "51-3=48", "97+15=112", "112-48=64" ]
Current State: 64:[3, 51, 97, 15], Operations: [] Exploring Operation: 51-3=48, Resulting Numbers: [97, 15, 48] Generated Node #2: [97, 15, 48] from Operation: 51-3=48 Current State: 64:[97, 15, 48], Operations: ['51-3=48'] Exploring Operation: 97+15=112, Resulting Numbers: [48, 112] Generated Node #3: [48, 112] from Operation: 97+15=112 Current State: 64:[48, 112], Operations: ['51-3=48', '97+15=112'] Exploring Operation: 112-48=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 14, 78, 16, 26 ]
58
[ "14*78=1092", "1092/26=42", "16+42=58" ]
Current State: 58:[14, 78, 16, 26], Operations: [] Exploring Operation: 14*78=1092, Resulting Numbers: [16, 26, 1092] Generated Node #2: [16, 26, 1092] from Operation: 14*78=1092 Current State: 58:[16, 26, 1092], Operations: ['14*78=1092'] Exploring Operation: 1092/26=42, Resulting Numbers: [16, 42] Generated Node #3: [16, 42] from Operation: 1092/26=42 Current State: 58:[16, 42], Operations: ['14*78=1092', '1092/26=42'] Exploring Operation: 16+42=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 38, 11, 85, 34 ]
41
[ "38-34=4", "11*4=44", "85-44=41" ]
Current State: 41:[38, 11, 85, 34], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [11, 85, 4] Generated Node #2: [11, 85, 4] from Operation: 38-34=4 Current State: 41:[11, 85, 4], Operations: ['38-34=4'] Exploring Operation: 11*4=44, Resulting Numbers: [85, 44] Generated Node #3: [85, 44] from Operation: 11*4=44 Current State: 41:[85, 44], Operations: ['38-34=4', '11*4=44'] Exploring Operation: 85-44=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 2, 32, 95, 53 ]
72
[ "32-2=30", "95-53=42", "30+42=72" ]
Current State: 72:[2, 32, 95, 53], Operations: [] Exploring Operation: 32-2=30, Resulting Numbers: [95, 53, 30] Generated Node #2: [95, 53, 30] from Operation: 32-2=30 Current State: 72:[95, 53, 30], Operations: ['32-2=30'] Exploring Operation: 95-53=42, Resulting Numbers: [30, 42] Generated Node #3: [30, 42] from Operation: 95-53=42 Current State: 72:[30, 42], Operations: ['32-2=30', '95-53=42'] Exploring Operation: 30+42=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 69, 20, 10, 91 ]
20
[ "69+20=89", "91-89=2", "10*2=20" ]
Current State: 20:[69, 20, 10, 91], Operations: [] Exploring Operation: 69+20=89, Resulting Numbers: [10, 91, 89] Generated Node #2: [10, 91, 89] from Operation: 69+20=89 Current State: 20:[10, 91, 89], Operations: ['69+20=89'] Exploring Operation: 91-89=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 91-89=2 Current State: 20:[10, 2], Operations: ['69+20=89', '91-89=2'] Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 73, 12, 54, 30 ]
76
[ "30-12=18", "54/18=3", "73+3=76" ]
Current State: 76:[73, 12, 54, 30], Operations: [] Exploring Operation: 30-12=18, Resulting Numbers: [73, 54, 18] Generated Node #2: [73, 54, 18] from Operation: 30-12=18 Current State: 76:[73, 54, 18], Operations: ['30-12=18'] Exploring Operation: 54/18=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 54/18=3 Current State: 76:[73, 3], Operations: ['30-12=18', '54/18=3'] Exploring Operation: 73+3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 49, 75, 96, 82 ]
12
[ "75-49=26", "96-82=14", "26-14=12" ]
Current State: 12:[49, 75, 96, 82], Operations: [] Exploring Operation: 75-49=26, Resulting Numbers: [96, 82, 26] Generated Node #2: [96, 82, 26] from Operation: 75-49=26 Current State: 12:[96, 82, 26], Operations: ['75-49=26'] Exploring Operation: 96-82=14, Resulting Numbers: [26, 14] Generated Node #3: [26, 14] from Operation: 96-82=14 Current State: 12:[26, 14], Operations: ['75-49=26', '96-82=14'] Exploring Operation: 26-14=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 51, 64, 91, 11 ]
35
[ "51+64=115", "91-11=80", "115-80=35" ]
Current State: 35:[51, 64, 91, 11], Operations: [] Exploring Operation: 51+64=115, Resulting Numbers: [91, 11, 115] Generated Node #2: [91, 11, 115] from Operation: 51+64=115 Current State: 35:[91, 11, 115], Operations: ['51+64=115'] Exploring Operation: 91-11=80, Resulting Numbers: [115, 80] Generated Node #3: [115, 80] from Operation: 91-11=80 Current State: 35:[115, 80], Operations: ['51+64=115', '91-11=80'] Exploring Operation: 115-80=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 81, 45, 19, 4 ]
84
[ "19-4=15", "45/15=3", "81+3=84" ]
Current State: 84:[81, 45, 19, 4], Operations: [] Exploring Operation: 19-4=15, Resulting Numbers: [81, 45, 15] Generated Node #2: [81, 45, 15] from Operation: 19-4=15 Current State: 84:[81, 45, 15], Operations: ['19-4=15'] Exploring Operation: 45/15=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 45/15=3 Current State: 84:[81, 3], Operations: ['19-4=15', '45/15=3'] Exploring Operation: 81+3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 51, 21, 28, 51 ]
53
[ "51-21=30", "51-28=23", "30+23=53" ]
Current State: 53:[51, 21, 28, 51], Operations: [] Exploring Operation: 51-21=30, Resulting Numbers: [28, 30] Generated Node #2: [28, 30] from Operation: 51-21=30 Current State: 53:[28, 30], Operations: ['51-21=30'] Exploring Operation: 51-28=23, Resulting Numbers: [30, 23] Generated Node #3: [30, 23] from Operation: 51-28=23 Current State: 53:[30, 23], Operations: ['51-21=30', '51-28=23'] Exploring Operation: 30+23=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 76, 92, 15, 50 ]
81
[ "92-76=16", "15+50=65", "16+65=81" ]
Current State: 81:[76, 92, 15, 50], Operations: [] Exploring Operation: 92-76=16, Resulting Numbers: [15, 50, 16] Generated Node #2: [15, 50, 16] from Operation: 92-76=16 Current State: 81:[15, 50, 16], Operations: ['92-76=16'] Exploring Operation: 15+50=65, Resulting Numbers: [16, 65] Generated Node #3: [16, 65] from Operation: 15+50=65 Current State: 81:[16, 65], Operations: ['92-76=16', '15+50=65'] Exploring Operation: 16+65=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 6, 11, 38, 25 ]
13
[ "25-6=19", "38/19=2", "11+2=13" ]
Current State: 13:[6, 11, 38, 25], Operations: [] Exploring Operation: 25-6=19, Resulting Numbers: [11, 38, 19] Generated Node #2: [11, 38, 19] from Operation: 25-6=19 Current State: 13:[11, 38, 19], Operations: ['25-6=19'] Exploring Operation: 38/19=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 38/19=2 Current State: 13:[11, 2], Operations: ['25-6=19', '38/19=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 82, 8, 88, 67 ]
32
[ "82-67=15", "8*15=120", "120-88=32" ]
Current State: 32:[82, 8, 88, 67], Operations: [] Exploring Operation: 82-67=15, Resulting Numbers: [8, 88, 15] Generated Node #2: [8, 88, 15] from Operation: 82-67=15 Current State: 32:[8, 88, 15], Operations: ['82-67=15'] Exploring Operation: 8*15=120, Resulting Numbers: [88, 120] Generated Node #3: [88, 120] from Operation: 8*15=120 Current State: 32:[88, 120], Operations: ['82-67=15', '8*15=120'] Exploring Operation: 120-88=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 83, 65, 57, 5 ]
33
[ "83-65=18", "5*18=90", "90-57=33" ]
Current State: 33:[83, 65, 57, 5], Operations: [] Exploring Operation: 83-65=18, Resulting Numbers: [57, 5, 18] Generated Node #2: [57, 5, 18] from Operation: 83-65=18 Current State: 33:[57, 5, 18], Operations: ['83-65=18'] Exploring Operation: 5*18=90, Resulting Numbers: [57, 90] Generated Node #3: [57, 90] from Operation: 5*18=90 Current State: 33:[57, 90], Operations: ['83-65=18', '5*18=90'] Exploring Operation: 90-57=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 18, 76, 96, 95 ]
58
[ "76-18=58", "96-95=1", "58*1=58" ]
Current State: 58:[18, 76, 96, 95], Operations: [] Exploring Operation: 76-18=58, Resulting Numbers: [96, 95, 58] Generated Node #2: [96, 95, 58] from Operation: 76-18=58 Current State: 58:[96, 95, 58], Operations: ['76-18=58'] Exploring Operation: 96-95=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 96-95=1 Current State: 58:[58, 1], Operations: ['76-18=58', '96-95=1'] Exploring Operation: 58*1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 64, 86, 14, 6 ]
81
[ "64+6=70", "70/14=5", "86-5=81" ]
Current State: 81:[64, 86, 14, 6], Operations: [] Exploring Operation: 64+6=70, Resulting Numbers: [86, 14, 70] Generated Node #2: [86, 14, 70] from Operation: 64+6=70 Current State: 81:[86, 14, 70], Operations: ['64+6=70'] Exploring Operation: 70/14=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 70/14=5 Current State: 81:[86, 5], Operations: ['64+6=70', '70/14=5'] Exploring Operation: 86-5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 69, 78, 72, 20 ]
61
[ "78-69=9", "72-20=52", "9+52=61" ]
Current State: 61:[69, 78, 72, 20], Operations: [] Exploring Operation: 78-69=9, Resulting Numbers: [72, 20, 9] Generated Node #2: [72, 20, 9] from Operation: 78-69=9 Current State: 61:[72, 20, 9], Operations: ['78-69=9'] Exploring Operation: 72-20=52, Resulting Numbers: [9, 52] Generated Node #3: [9, 52] from Operation: 72-20=52 Current State: 61:[9, 52], Operations: ['78-69=9', '72-20=52'] Exploring Operation: 9+52=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 68, 50, 58, 65 ]
60
[ "68-58=10", "50/10=5", "65-5=60" ]
Current State: 60:[68, 50, 58, 65], Operations: [] Exploring Operation: 68-58=10, Resulting Numbers: [50, 65, 10] Generated Node #2: [50, 65, 10] from Operation: 68-58=10 Current State: 60:[50, 65, 10], Operations: ['68-58=10'] Exploring Operation: 50/10=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 50/10=5 Current State: 60:[65, 5], Operations: ['68-58=10', '50/10=5'] Exploring Operation: 65-5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 14, 61, 45, 48 ]
25
[ "14+61=75", "48-45=3", "75/3=25" ]
Current State: 25:[14, 61, 45, 48], Operations: [] Exploring Operation: 14+61=75, Resulting Numbers: [45, 48, 75] Generated Node #2: [45, 48, 75] from Operation: 14+61=75 Current State: 25:[45, 48, 75], Operations: ['14+61=75'] Exploring Operation: 48-45=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 48-45=3 Current State: 25:[75, 3], Operations: ['14+61=75', '48-45=3'] Exploring Operation: 75/3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 79, 6, 54, 4 ]
29
[ "6-4=2", "54*2=108", "108-79=29" ]
Current State: 29:[79, 6, 54, 4], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [79, 54, 2] Generated Node #2: [79, 54, 2] from Operation: 6-4=2 Current State: 29:[79, 54, 2], Operations: ['6-4=2'] Exploring Operation: 54*2=108, Resulting Numbers: [79, 108] Generated Node #3: [79, 108] from Operation: 54*2=108 Current State: 29:[79, 108], Operations: ['6-4=2', '54*2=108'] Exploring Operation: 108-79=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 61, 8, 33, 55 ]
15
[ "61-55=6", "8*6=48", "48-33=15" ]
Current State: 15:[61, 8, 33, 55], Operations: [] Exploring Operation: 61-55=6, Resulting Numbers: [8, 33, 6] Generated Node #2: [8, 33, 6] from Operation: 61-55=6 Current State: 15:[8, 33, 6], Operations: ['61-55=6'] Exploring Operation: 8*6=48, Resulting Numbers: [33, 48] Generated Node #3: [33, 48] from Operation: 8*6=48 Current State: 15:[33, 48], Operations: ['61-55=6', '8*6=48'] Exploring Operation: 48-33=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 7, 10, 41, 35 ]
18
[ "10-7=3", "41-35=6", "3*6=18" ]
Current State: 18:[7, 10, 41, 35], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [41, 35, 3] Generated Node #2: [41, 35, 3] from Operation: 10-7=3 Current State: 18:[41, 35, 3], Operations: ['10-7=3'] Exploring Operation: 41-35=6, Resulting Numbers: [3, 6] Generated Node #3: [3, 6] from Operation: 41-35=6 Current State: 18:[3, 6], Operations: ['10-7=3', '41-35=6'] Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 44, 40, 64, 13 ]
12
[ "44-40=4", "13*4=52", "64-52=12" ]
Current State: 12:[44, 40, 64, 13], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [64, 13, 4] Generated Node #2: [64, 13, 4] from Operation: 44-40=4 Current State: 12:[64, 13, 4], Operations: ['44-40=4'] Exploring Operation: 13*4=52, Resulting Numbers: [64, 52] Generated Node #3: [64, 52] from Operation: 13*4=52 Current State: 12:[64, 52], Operations: ['44-40=4', '13*4=52'] Exploring Operation: 64-52=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 56, 96, 98, 60 ]
52
[ "98-96=2", "56*2=112", "112-60=52" ]
Current State: 52:[56, 96, 98, 60], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [56, 60, 2] Generated Node #2: [56, 60, 2] from Operation: 98-96=2 Current State: 52:[56, 60, 2], Operations: ['98-96=2'] Exploring Operation: 56*2=112, Resulting Numbers: [60, 112] Generated Node #3: [60, 112] from Operation: 56*2=112 Current State: 52:[60, 112], Operations: ['98-96=2', '56*2=112'] Exploring Operation: 112-60=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 26, 74, 98, 10 ]
60
[ "74-26=48", "98+10=108", "108-48=60" ]
Current State: 60:[26, 74, 98, 10], Operations: [] Exploring Operation: 74-26=48, Resulting Numbers: [98, 10, 48] Generated Node #2: [98, 10, 48] from Operation: 74-26=48 Current State: 60:[98, 10, 48], Operations: ['74-26=48'] Exploring Operation: 98+10=108, Resulting Numbers: [48, 108] Generated Node #3: [48, 108] from Operation: 98+10=108 Current State: 60:[48, 108], Operations: ['74-26=48', '98+10=108'] Exploring Operation: 108-48=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 62, 24, 37, 91 ]
42
[ "62+24=86", "37+91=128", "128-86=42" ]
Current State: 42:[62, 24, 37, 91], Operations: [] Exploring Operation: 62+24=86, Resulting Numbers: [37, 91, 86] Generated Node #2: [37, 91, 86] from Operation: 62+24=86 Current State: 42:[37, 91, 86], Operations: ['62+24=86'] Exploring Operation: 37+91=128, Resulting Numbers: [86, 128] Generated Node #3: [86, 128] from Operation: 37+91=128 Current State: 42:[86, 128], Operations: ['62+24=86', '37+91=128'] Exploring Operation: 128-86=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 38, 21, 69, 46 ]
82
[ "38+21=59", "69-46=23", "59+23=82" ]
Current State: 82:[38, 21, 69, 46], Operations: [] Exploring Operation: 38+21=59, Resulting Numbers: [69, 46, 59] Generated Node #2: [69, 46, 59] from Operation: 38+21=59 Current State: 82:[69, 46, 59], Operations: ['38+21=59'] Exploring Operation: 69-46=23, Resulting Numbers: [59, 23] Generated Node #3: [59, 23] from Operation: 69-46=23 Current State: 82:[59, 23], Operations: ['38+21=59', '69-46=23'] Exploring Operation: 59+23=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 81, 37, 69, 40 ]
73
[ "81-37=44", "69-40=29", "44+29=73" ]
Current State: 73:[81, 37, 69, 40], Operations: [] Exploring Operation: 81-37=44, Resulting Numbers: [69, 40, 44] Generated Node #2: [69, 40, 44] from Operation: 81-37=44 Current State: 73:[69, 40, 44], Operations: ['81-37=44'] Exploring Operation: 69-40=29, Resulting Numbers: [44, 29] Generated Node #3: [44, 29] from Operation: 69-40=29 Current State: 73:[44, 29], Operations: ['81-37=44', '69-40=29'] Exploring Operation: 44+29=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 6, 6, 92, 72 ]
84
[ "92-6=86", "86-72=14", "6*14=84" ]
Current State: 84:[6, 6, 92, 72], Operations: [] Exploring Operation: 92-6=86, Resulting Numbers: [72, 86] Generated Node #2: [72, 86] from Operation: 92-6=86 Current State: 84:[72, 86], Operations: ['92-6=86'] Exploring Operation: 86-72=14, Resulting Numbers: [14] 14,84 equal: Goal Reached Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 63, 81, 16, 77 ]
79
[ "81-63=18", "77-16=61", "18+61=79" ]
Current State: 79:[63, 81, 16, 77], Operations: [] Exploring Operation: 81-63=18, Resulting Numbers: [16, 77, 18] Generated Node #2: [16, 77, 18] from Operation: 81-63=18 Current State: 79:[16, 77, 18], Operations: ['81-63=18'] Exploring Operation: 77-16=61, Resulting Numbers: [18, 61] Generated Node #3: [18, 61] from Operation: 77-16=61 Current State: 79:[18, 61], Operations: ['81-63=18', '77-16=61'] Exploring Operation: 18+61=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 36, 29, 4, 68 ]
31
[ "4+68=72", "72/36=2", "29+2=31" ]
Current State: 31:[36, 29, 4, 68], Operations: [] Exploring Operation: 4+68=72, Resulting Numbers: [36, 29, 72] Generated Node #2: [36, 29, 72] from Operation: 4+68=72 Current State: 31:[36, 29, 72], Operations: ['4+68=72'] Exploring Operation: 72/36=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 72/36=2 Current State: 31:[29, 2], Operations: ['4+68=72', '72/36=2'] Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 44, 86, 60, 84 ]
52
[ "44+60=104", "86-84=2", "104/2=52" ]
Current State: 52:[44, 86, 60, 84], Operations: [] Exploring Operation: 44+60=104, Resulting Numbers: [86, 84, 104] Generated Node #2: [86, 84, 104] from Operation: 44+60=104 Current State: 52:[86, 84, 104], Operations: ['44+60=104'] Exploring Operation: 86-84=2, Resulting Numbers: [104, 2] Generated Node #3: [104, 2] from Operation: 86-84=2 Current State: 52:[104, 2], Operations: ['44+60=104', '86-84=2'] Exploring Operation: 104/2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 30, 60, 52, 19 ]
73
[ "60/30=2", "52+19=71", "2+71=73" ]
Current State: 73:[30, 60, 52, 19], Operations: [] Exploring Operation: 60/30=2, Resulting Numbers: [52, 19, 2] Generated Node #2: [52, 19, 2] from Operation: 60/30=2 Current State: 73:[52, 19, 2], Operations: ['60/30=2'] Exploring Operation: 52+19=71, Resulting Numbers: [2, 71] Generated Node #3: [2, 71] from Operation: 52+19=71 Current State: 73:[2, 71], Operations: ['60/30=2', '52+19=71'] Exploring Operation: 2+71=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 24, 20, 19, 33 ]
60
[ "24+33=57", "20*57=1140", "1140/19=60" ]
Current State: 60:[24, 20, 19, 33], Operations: [] Exploring Operation: 24+33=57, Resulting Numbers: [20, 19, 57] Generated Node #2: [20, 19, 57] from Operation: 24+33=57 Current State: 60:[20, 19, 57], Operations: ['24+33=57'] Exploring Operation: 20*57=1140, Resulting Numbers: [19, 1140] Generated Node #3: [19, 1140] from Operation: 20*57=1140 Current State: 60:[19, 1140], Operations: ['24+33=57', '20*57=1140'] Exploring Operation: 1140/19=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 48, 25, 30, 14 ]
26
[ "48*25=1200", "1200/30=40", "40-14=26" ]
Current State: 26:[48, 25, 30, 14], Operations: [] Exploring Operation: 48*25=1200, Resulting Numbers: [30, 14, 1200] Generated Node #2: [30, 14, 1200] from Operation: 48*25=1200 Current State: 26:[30, 14, 1200], Operations: ['48*25=1200'] Exploring Operation: 1200/30=40, Resulting Numbers: [14, 40] Generated Node #3: [14, 40] from Operation: 1200/30=40 Current State: 26:[14, 40], Operations: ['48*25=1200', '1200/30=40'] Exploring Operation: 40-14=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 46, 68, 11, 3 ]
33
[ "68-46=22", "22-11=11", "3*11=33" ]
Current State: 33:[46, 68, 11, 3], Operations: [] Exploring Operation: 68-46=22, Resulting Numbers: [11, 3, 22] Generated Node #2: [11, 3, 22] from Operation: 68-46=22 Current State: 33:[11, 3, 22], Operations: ['68-46=22'] Exploring Operation: 22-11=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 22-11=11 Current State: 33:[3, 11], Operations: ['68-46=22', '22-11=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 6, 88, 8, 5 ]
49
[ "8-6=2", "88/2=44", "5+44=49" ]
Current State: 49:[6, 88, 8, 5], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [88, 5, 2] Generated Node #2: [88, 5, 2] from Operation: 8-6=2 Current State: 49:[88, 5, 2], Operations: ['8-6=2'] Exploring Operation: 88/2=44, Resulting Numbers: [5, 44] Generated Node #3: [5, 44] from Operation: 88/2=44 Current State: 49:[5, 44], Operations: ['8-6=2', '88/2=44'] Exploring Operation: 5+44=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 96, 2, 27, 4 ]
67
[ "96+2=98", "27+4=31", "98-31=67" ]
Current State: 67:[96, 2, 27, 4], Operations: [] Exploring Operation: 96+2=98, Resulting Numbers: [27, 4, 98] Generated Node #2: [27, 4, 98] from Operation: 96+2=98 Current State: 67:[27, 4, 98], Operations: ['96+2=98'] Exploring Operation: 27+4=31, Resulting Numbers: [98, 31] Generated Node #3: [98, 31] from Operation: 27+4=31 Current State: 67:[98, 31], Operations: ['96+2=98', '27+4=31'] Exploring Operation: 98-31=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 53, 14, 51, 38 ]
52
[ "53-14=39", "51-38=13", "39+13=52" ]
Current State: 52:[53, 14, 51, 38], Operations: [] Exploring Operation: 53-14=39, Resulting Numbers: [51, 38, 39] Generated Node #2: [51, 38, 39] from Operation: 53-14=39 Current State: 52:[51, 38, 39], Operations: ['53-14=39'] Exploring Operation: 51-38=13, Resulting Numbers: [39, 13] Generated Node #3: [39, 13] from Operation: 51-38=13 Current State: 52:[39, 13], Operations: ['53-14=39', '51-38=13'] Exploring Operation: 39+13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 9, 61, 52, 43 ]
62
[ "52-9=43", "43/43=1", "61+1=62" ]
Current State: 62:[9, 61, 52, 43], Operations: [] Exploring Operation: 52-9=43, Resulting Numbers: [61, 43, 43] Generated Node #2: [61, 43, 43] from Operation: 52-9=43 Current State: 62:[61, 43, 43], Operations: ['52-9=43'] Exploring Operation: 43/43=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 43/43=1 Current State: 62:[61, 1], Operations: ['52-9=43', '43/43=1'] Exploring Operation: 61+1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 3, 2, 42 ]
38
[ "3+3=6", "2+42=44", "44-6=38" ]
Current State: 38:[3, 3, 2, 42], Operations: [] Exploring Operation: 3+3=6, Resulting Numbers: [2, 42, 6] Generated Node #2: [2, 42, 6] from Operation: 3+3=6 Current State: 38:[2, 42, 6], Operations: ['3+3=6'] Exploring Operation: 2+42=44, Resulting Numbers: [6, 44] Generated Node #3: [6, 44] from Operation: 2+42=44 Current State: 38:[6, 44], Operations: ['3+3=6', '2+42=44'] Exploring Operation: 44-6=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 16, 26, 65, 18 ]
67
[ "26-18=8", "16/8=2", "65+2=67" ]
Current State: 67:[16, 26, 65, 18], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [16, 65, 8] Generated Node #2: [16, 65, 8] from Operation: 26-18=8 Current State: 67:[16, 65, 8], Operations: ['26-18=8'] Exploring Operation: 16/8=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 16/8=2 Current State: 67:[65, 2], Operations: ['26-18=8', '16/8=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 16, 21, 98, 74 ]
91
[ "21*74=1554", "1554-98=1456", "1456/16=91" ]
Current State: 91:[16, 21, 98, 74], Operations: [] Exploring Operation: 21*74=1554, Resulting Numbers: [16, 98, 1554] Generated Node #2: [16, 98, 1554] from Operation: 21*74=1554 Current State: 91:[16, 98, 1554], Operations: ['21*74=1554'] Exploring Operation: 1554-98=1456, Resulting Numbers: [16, 1456] Generated Node #3: [16, 1456] from Operation: 1554-98=1456 Current State: 91:[16, 1456], Operations: ['21*74=1554', '1554-98=1456'] Exploring Operation: 1456/16=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 17, 4, 60, 14 ]
45
[ "17-14=3", "60/4=15", "3*15=45" ]
Current State: 45:[17, 4, 60, 14], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [4, 60, 3] Generated Node #2: [4, 60, 3] from Operation: 17-14=3 Current State: 45:[4, 60, 3], Operations: ['17-14=3'] Exploring Operation: 60/4=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 60/4=15 Current State: 45:[3, 15], Operations: ['17-14=3', '60/4=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 68, 20, 43, 22 ]
50
[ "68-43=25", "22-20=2", "25*2=50" ]
Current State: 50:[68, 20, 43, 22], Operations: [] Exploring Operation: 68-43=25, Resulting Numbers: [20, 22, 25] Generated Node #2: [20, 22, 25] from Operation: 68-43=25 Current State: 50:[20, 22, 25], Operations: ['68-43=25'] Exploring Operation: 22-20=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 22-20=2 Current State: 50:[25, 2], Operations: ['68-43=25', '22-20=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 36, 52, 65, 13 ]
36
[ "36+52=88", "65-13=52", "88-52=36" ]
Current State: 36:[36, 52, 65, 13], Operations: [] Exploring Operation: 36+52=88, Resulting Numbers: [65, 13, 88] Generated Node #2: [65, 13, 88] from Operation: 36+52=88 Current State: 36:[65, 13, 88], Operations: ['36+52=88'] Exploring Operation: 65-13=52, Resulting Numbers: [88, 52] Generated Node #3: [88, 52] from Operation: 65-13=52 Current State: 36:[88, 52], Operations: ['36+52=88', '65-13=52'] Exploring Operation: 88-52=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 71, 42, 73, 13 ]
97
[ "73-71=2", "42*2=84", "13+84=97" ]
Current State: 97:[71, 42, 73, 13], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [42, 13, 2] Generated Node #2: [42, 13, 2] from Operation: 73-71=2 Current State: 97:[42, 13, 2], Operations: ['73-71=2'] Exploring Operation: 42*2=84, Resulting Numbers: [13, 84] Generated Node #3: [13, 84] from Operation: 42*2=84 Current State: 97:[13, 84], Operations: ['73-71=2', '42*2=84'] Exploring Operation: 13+84=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 85, 77, 83, 4 ]
83
[ "85+77=162", "83-4=79", "162-79=83" ]
Current State: 83:[85, 77, 83, 4], Operations: [] Exploring Operation: 85+77=162, Resulting Numbers: [83, 4, 162] Generated Node #2: [83, 4, 162] from Operation: 85+77=162 Current State: 83:[83, 4, 162], Operations: ['85+77=162'] Exploring Operation: 83-4=79, Resulting Numbers: [162, 79] Generated Node #3: [162, 79] from Operation: 83-4=79 Current State: 83:[162, 79], Operations: ['85+77=162', '83-4=79'] Exploring Operation: 162-79=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 7, 77, 36, 55 ]
56
[ "55-36=19", "7*19=133", "133-77=56" ]
Current State: 56:[7, 77, 36, 55], Operations: [] Exploring Operation: 55-36=19, Resulting Numbers: [7, 77, 19] Generated Node #2: [7, 77, 19] from Operation: 55-36=19 Current State: 56:[7, 77, 19], Operations: ['55-36=19'] Exploring Operation: 7*19=133, Resulting Numbers: [77, 133] Generated Node #3: [77, 133] from Operation: 7*19=133 Current State: 56:[77, 133], Operations: ['55-36=19', '7*19=133'] Exploring Operation: 133-77=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 68, 67, 58, 65 ]
48
[ "67-65=2", "58*2=116", "116-68=48" ]
Current State: 48:[68, 67, 58, 65], Operations: [] Exploring Operation: 67-65=2, Resulting Numbers: [68, 58, 2] Generated Node #2: [68, 58, 2] from Operation: 67-65=2 Current State: 48:[68, 58, 2], Operations: ['67-65=2'] Exploring Operation: 58*2=116, Resulting Numbers: [68, 116] Generated Node #3: [68, 116] from Operation: 58*2=116 Current State: 48:[68, 116], Operations: ['67-65=2', '58*2=116'] Exploring Operation: 116-68=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 32, 30, 21, 17 ]
25
[ "32-30=2", "21*2=42", "42-17=25" ]
Current State: 25:[32, 30, 21, 17], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [21, 17, 2] Generated Node #2: [21, 17, 2] from Operation: 32-30=2 Current State: 25:[21, 17, 2], Operations: ['32-30=2'] Exploring Operation: 21*2=42, Resulting Numbers: [17, 42] Generated Node #3: [17, 42] from Operation: 21*2=42 Current State: 25:[17, 42], Operations: ['32-30=2', '21*2=42'] Exploring Operation: 42-17=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 80, 42, 40, 19 ]
38
[ "80-42=38", "40-38=2", "19*2=38" ]
Current State: 38:[80, 42, 40, 19], Operations: [] Exploring Operation: 80-42=38, Resulting Numbers: [40, 19, 38] Generated Node #2: [40, 19, 38] from Operation: 80-42=38 Current State: 38:[40, 19, 38], Operations: ['80-42=38'] Exploring Operation: 40-38=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 40-38=2 Current State: 38:[19, 2], Operations: ['80-42=38', '40-38=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 5, 6, 17, 32 ]
19
[ "5*6=30", "17+32=49", "49-30=19" ]
Current State: 19:[5, 6, 17, 32], Operations: [] Exploring Operation: 5*6=30, Resulting Numbers: [17, 32, 30] Generated Node #2: [17, 32, 30] from Operation: 5*6=30 Current State: 19:[17, 32, 30], Operations: ['5*6=30'] Exploring Operation: 17+32=49, Resulting Numbers: [30, 49] Generated Node #3: [30, 49] from Operation: 17+32=49 Current State: 19:[30, 49], Operations: ['5*6=30', '17+32=49'] Exploring Operation: 49-30=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 3, 72, 10, 38 ]
47
[ "3+72=75", "38-10=28", "75-28=47" ]
Current State: 47:[3, 72, 10, 38], Operations: [] Exploring Operation: 3+72=75, Resulting Numbers: [10, 38, 75] Generated Node #2: [10, 38, 75] from Operation: 3+72=75 Current State: 47:[10, 38, 75], Operations: ['3+72=75'] Exploring Operation: 38-10=28, Resulting Numbers: [75, 28] Generated Node #3: [75, 28] from Operation: 38-10=28 Current State: 47:[75, 28], Operations: ['3+72=75', '38-10=28'] Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 97, 79, 42, 38 ]
72
[ "97-79=18", "42-38=4", "18*4=72" ]
Current State: 72:[97, 79, 42, 38], Operations: [] Exploring Operation: 97-79=18, Resulting Numbers: [42, 38, 18] Generated Node #2: [42, 38, 18] from Operation: 97-79=18 Current State: 72:[42, 38, 18], Operations: ['97-79=18'] Exploring Operation: 42-38=4, Resulting Numbers: [18, 4] Generated Node #3: [18, 4] from Operation: 42-38=4 Current State: 72:[18, 4], Operations: ['97-79=18', '42-38=4'] Exploring Operation: 18*4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 36, 76, 89, 87 ]
20
[ "76-36=40", "89-87=2", "40/2=20" ]
Current State: 20:[36, 76, 89, 87], Operations: [] Exploring Operation: 76-36=40, Resulting Numbers: [89, 87, 40] Generated Node #2: [89, 87, 40] from Operation: 76-36=40 Current State: 20:[89, 87, 40], Operations: ['76-36=40'] Exploring Operation: 89-87=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 89-87=2 Current State: 20:[40, 2], Operations: ['76-36=40', '89-87=2'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 2, 59, 49, 65 ]
41
[ "59-2=57", "65-49=16", "57-16=41" ]
Current State: 41:[2, 59, 49, 65], Operations: [] Exploring Operation: 59-2=57, Resulting Numbers: [49, 65, 57] Generated Node #2: [49, 65, 57] from Operation: 59-2=57 Current State: 41:[49, 65, 57], Operations: ['59-2=57'] Exploring Operation: 65-49=16, Resulting Numbers: [57, 16] Generated Node #3: [57, 16] from Operation: 65-49=16 Current State: 41:[57, 16], Operations: ['59-2=57', '65-49=16'] Exploring Operation: 57-16=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 14, 78, 53, 55 ]
66
[ "78-14=64", "55-53=2", "64+2=66" ]
Current State: 66:[14, 78, 53, 55], Operations: [] Exploring Operation: 78-14=64, Resulting Numbers: [53, 55, 64] Generated Node #2: [53, 55, 64] from Operation: 78-14=64 Current State: 66:[53, 55, 64], Operations: ['78-14=64'] Exploring Operation: 55-53=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 55-53=2 Current State: 66:[64, 2], Operations: ['78-14=64', '55-53=2'] Exploring Operation: 64+2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 31, 61, 48, 49 ]
31
[ "61-31=30", "49-48=1", "30+1=31" ]
Current State: 31:[31, 61, 48, 49], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [48, 49, 30] Generated Node #2: [48, 49, 30] from Operation: 61-31=30 Current State: 31:[48, 49, 30], Operations: ['61-31=30'] Exploring Operation: 49-48=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 49-48=1 Current State: 31:[30, 1], Operations: ['61-31=30', '49-48=1'] Exploring Operation: 30+1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 38, 29, 44, 31 ]
53
[ "38*44=1672", "1672-29=1643", "1643/31=53" ]
Current State: 53:[38, 29, 44, 31], Operations: [] Exploring Operation: 38*44=1672, Resulting Numbers: [29, 31, 1672] Generated Node #2: [29, 31, 1672] from Operation: 38*44=1672 Current State: 53:[29, 31, 1672], Operations: ['38*44=1672'] Exploring Operation: 1672-29=1643, Resulting Numbers: [31, 1643] Generated Node #3: [31, 1643] from Operation: 1672-29=1643 Current State: 53:[31, 1643], Operations: ['38*44=1672', '1672-29=1643'] Exploring Operation: 1643/31=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 11, 2, 36, 3 ]
52
[ "11+2=13", "36+3=39", "13+39=52" ]
Current State: 52:[11, 2, 36, 3], Operations: [] Exploring Operation: 11+2=13, Resulting Numbers: [36, 3, 13] Generated Node #2: [36, 3, 13] from Operation: 11+2=13 Current State: 52:[36, 3, 13], Operations: ['11+2=13'] Exploring Operation: 36+3=39, Resulting Numbers: [13, 39] Generated Node #3: [13, 39] from Operation: 36+3=39 Current State: 52:[13, 39], Operations: ['11+2=13', '36+3=39'] Exploring Operation: 13+39=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 1, 48, 7, 71 ]
65
[ "1+7=8", "48/8=6", "71-6=65" ]
Current State: 65:[1, 48, 7, 71], Operations: [] Exploring Operation: 1+7=8, Resulting Numbers: [48, 71, 8] Generated Node #2: [48, 71, 8] from Operation: 1+7=8 Current State: 65:[48, 71, 8], Operations: ['1+7=8'] Exploring Operation: 48/8=6, Resulting Numbers: [71, 6] Generated Node #3: [71, 6] from Operation: 48/8=6 Current State: 65:[71, 6], Operations: ['1+7=8', '48/8=6'] Exploring Operation: 71-6=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 4, 70, 23, 26 ]
47
[ "70+26=96", "96/4=24", "23+24=47" ]
Current State: 47:[4, 70, 23, 26], Operations: [] Exploring Operation: 70+26=96, Resulting Numbers: [4, 23, 96] Generated Node #2: [4, 23, 96] from Operation: 70+26=96 Current State: 47:[4, 23, 96], Operations: ['70+26=96'] Exploring Operation: 96/4=24, Resulting Numbers: [23, 24] Generated Node #3: [23, 24] from Operation: 96/4=24 Current State: 47:[23, 24], Operations: ['70+26=96', '96/4=24'] Exploring Operation: 23+24=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 65, 28, 89, 79 ]
75
[ "65+28=93", "89+79=168", "168-93=75" ]
Current State: 75:[65, 28, 89, 79], Operations: [] Exploring Operation: 65+28=93, Resulting Numbers: [89, 79, 93] Generated Node #2: [89, 79, 93] from Operation: 65+28=93 Current State: 75:[89, 79, 93], Operations: ['65+28=93'] Exploring Operation: 89+79=168, Resulting Numbers: [93, 168] Generated Node #3: [93, 168] from Operation: 89+79=168 Current State: 75:[93, 168], Operations: ['65+28=93', '89+79=168'] Exploring Operation: 168-93=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 27, 9, 42, 28 ]
54
[ "27+9=36", "42*36=1512", "1512/28=54" ]
Current State: 54:[27, 9, 42, 28], Operations: [] Exploring Operation: 27+9=36, Resulting Numbers: [42, 28, 36] Generated Node #2: [42, 28, 36] from Operation: 27+9=36 Current State: 54:[42, 28, 36], Operations: ['27+9=36'] Exploring Operation: 42*36=1512, Resulting Numbers: [28, 1512] Generated Node #3: [28, 1512] from Operation: 42*36=1512 Current State: 54:[28, 1512], Operations: ['27+9=36', '42*36=1512'] Exploring Operation: 1512/28=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 25, 22, 20, 26 ]
18
[ "25-22=3", "26-20=6", "3*6=18" ]
Current State: 18:[25, 22, 20, 26], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [20, 26, 3] Generated Node #2: [20, 26, 3] from Operation: 25-22=3 Current State: 18:[20, 26, 3], Operations: ['25-22=3'] Exploring Operation: 26-20=6, Resulting Numbers: [3, 6] Generated Node #3: [3, 6] from Operation: 26-20=6 Current State: 18:[3, 6], Operations: ['25-22=3', '26-20=6'] Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 76, 14, 80, 16 ]
96
[ "76*16=1216", "14*80=1120", "1216-1120=96" ]
Current State: 96:[76, 14, 80, 16], Operations: [] Exploring Operation: 76*16=1216, Resulting Numbers: [14, 80, 1216] Generated Node #2: [14, 80, 1216] from Operation: 76*16=1216 Current State: 96:[14, 80, 1216], Operations: ['76*16=1216'] Exploring Operation: 14*80=1120, Resulting Numbers: [1216, 1120] Generated Node #3: [1216, 1120] from Operation: 14*80=1120 Current State: 96:[1216, 1120], Operations: ['76*16=1216', '14*80=1120'] Exploring Operation: 1216-1120=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 97, 53, 45, 13 ]
49
[ "97-45=52", "52/13=4", "53-4=49" ]
Current State: 49:[97, 53, 45, 13], Operations: [] Exploring Operation: 97-45=52, Resulting Numbers: [53, 13, 52] Generated Node #2: [53, 13, 52] from Operation: 97-45=52 Current State: 49:[53, 13, 52], Operations: ['97-45=52'] Exploring Operation: 52/13=4, Resulting Numbers: [53, 4] Generated Node #3: [53, 4] from Operation: 52/13=4 Current State: 49:[53, 4], Operations: ['97-45=52', '52/13=4'] Exploring Operation: 53-4=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 1, 96, 87, 8 ]
63
[ "8-1=7", "96-87=9", "7*9=63" ]
Current State: 63:[1, 96, 87, 8], Operations: [] Exploring Operation: 8-1=7, Resulting Numbers: [96, 87, 7] Generated Node #2: [96, 87, 7] from Operation: 8-1=7 Current State: 63:[96, 87, 7], Operations: ['8-1=7'] Exploring Operation: 96-87=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 96-87=9 Current State: 63:[7, 9], Operations: ['8-1=7', '96-87=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 24, 24, 38, 22 ]
31
[ "24+38=62", "24-22=2", "62/2=31" ]
Current State: 31:[24, 24, 38, 22], Operations: [] Exploring Operation: 24+38=62, Resulting Numbers: [22, 62] Generated Node #2: [22, 62] from Operation: 24+38=62 Current State: 31:[22, 62], Operations: ['24+38=62'] Exploring Operation: 24-22=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 24-22=2 Current State: 31:[62, 2], Operations: ['24+38=62', '24-22=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4