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
[ 27, 56, 22, 81 ]
24
[ "27+56=83", "81-22=59", "83-59=24" ]
Current State: 24:[27, 56, 22, 81], Operations: [] Exploring Operation: 27+56=83, Resulting Numbers: [22, 81, 83] Generated Node #2: [22, 81, 83] from Operation: 27+56=83 Current State: 24:[22, 81, 83], Operations: ['27+56=83'] Exploring Operation: 81-22=59, Resulting Numbers: [83, 59] Generated Node #3: [83, 59] from Operation: 81-22=59 Current State: 24:[83, 59], Operations: ['27+56=83', '81-22=59'] Exploring Operation: 83-59=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 88, 1, 2, 59 ]
74
[ "88+1=89", "59+89=148", "148/2=74" ]
Current State: 74:[88, 1, 2, 59], Operations: [] Exploring Operation: 88+1=89, Resulting Numbers: [2, 59, 89] Generated Node #2: [2, 59, 89] from Operation: 88+1=89 Current State: 74:[2, 59, 89], Operations: ['88+1=89'] Exploring Operation: 59+89=148, Resulting Numbers: [2, 148] Generated Node #3: [2, 148] from Operation: 59+89=148 Current State: 74:[2, 148], Operations: ['88+1=89', '59+89=148'] Exploring Operation: 148/2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 36, 47, 44, 68 ]
13
[ "47-36=11", "68-44=24", "24-11=13" ]
Current State: 13:[36, 47, 44, 68], Operations: [] Exploring Operation: 47-36=11, Resulting Numbers: [44, 68, 11] Generated Node #2: [44, 68, 11] from Operation: 47-36=11 Current State: 13:[44, 68, 11], Operations: ['47-36=11'] Exploring Operation: 68-44=24, Resulting Numbers: [11, 24] Generated Node #3: [11, 24] from Operation: 68-44=24 Current State: 13:[11, 24], Operations: ['47-36=11', '68-44=24'] Exploring Operation: 24-11=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 58, 98, 51, 62 ]
43
[ "58+98=156", "51+62=113", "156-113=43" ]
Current State: 43:[58, 98, 51, 62], Operations: [] Exploring Operation: 58+98=156, Resulting Numbers: [51, 62, 156] Generated Node #2: [51, 62, 156] from Operation: 58+98=156 Current State: 43:[51, 62, 156], Operations: ['58+98=156'] Exploring Operation: 51+62=113, Resulting Numbers: [156, 113] Generated Node #3: [156, 113] from Operation: 51+62=113 Current State: 43:[156, 113], Operations: ['58+98=156', '51+62=113'] Exploring Operation: 156-113=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 57, 3, 12, 30 ]
12
[ "57-3=54", "12+30=42", "54-42=12" ]
Current State: 12:[57, 3, 12, 30], Operations: [] Exploring Operation: 57-3=54, Resulting Numbers: [12, 30, 54] Generated Node #2: [12, 30, 54] from Operation: 57-3=54 Current State: 12:[12, 30, 54], Operations: ['57-3=54'] Exploring Operation: 12+30=42, Resulting Numbers: [54, 42] Generated Node #3: [54, 42] from Operation: 12+30=42 Current State: 12:[54, 42], Operations: ['57-3=54', '12+30=42'] Exploring Operation: 54-42=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 19, 61, 80, 99 ]
100
[ "19+61=80", "80/80=1", "99+1=100" ]
Current State: 100:[19, 61, 80, 99], Operations: [] Exploring Operation: 19+61=80, Resulting Numbers: [80, 99, 80] Generated Node #2: [80, 99, 80] from Operation: 19+61=80 Current State: 100:[80, 99, 80], Operations: ['19+61=80'] Exploring Operation: 80/80=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 80/80=1 Current State: 100:[99, 1], Operations: ['19+61=80', '80/80=1'] Exploring Operation: 99+1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 94, 44, 64, 42 ]
28
[ "94-44=50", "64-42=22", "50-22=28" ]
Current State: 28:[94, 44, 64, 42], Operations: [] Exploring Operation: 94-44=50, Resulting Numbers: [64, 42, 50] Generated Node #2: [64, 42, 50] from Operation: 94-44=50 Current State: 28:[64, 42, 50], Operations: ['94-44=50'] Exploring Operation: 64-42=22, Resulting Numbers: [50, 22] Generated Node #3: [50, 22] from Operation: 64-42=22 Current State: 28:[50, 22], Operations: ['94-44=50', '64-42=22'] Exploring Operation: 50-22=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 57, 4, 16, 2 ]
50
[ "57*2=114", "4*16=64", "114-64=50" ]
Current State: 50:[57, 4, 16, 2], Operations: [] Exploring Operation: 57*2=114, Resulting Numbers: [4, 16, 114] Generated Node #2: [4, 16, 114] from Operation: 57*2=114 Current State: 50:[4, 16, 114], Operations: ['57*2=114'] Exploring Operation: 4*16=64, Resulting Numbers: [114, 64] Generated Node #3: [114, 64] from Operation: 4*16=64 Current State: 50:[114, 64], Operations: ['57*2=114', '4*16=64'] Exploring Operation: 114-64=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 51, 28, 74, 35 ]
86
[ "51-28=23", "74+35=109", "109-23=86" ]
Current State: 86:[51, 28, 74, 35], Operations: [] Exploring Operation: 51-28=23, Resulting Numbers: [74, 35, 23] Generated Node #2: [74, 35, 23] from Operation: 51-28=23 Current State: 86:[74, 35, 23], Operations: ['51-28=23'] Exploring Operation: 74+35=109, Resulting Numbers: [23, 109] Generated Node #3: [23, 109] from Operation: 74+35=109 Current State: 86:[23, 109], Operations: ['51-28=23', '74+35=109'] Exploring Operation: 109-23=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 13, 58, 17, 6 ]
61
[ "13-6=7", "17*7=119", "119-58=61" ]
Current State: 61:[13, 58, 17, 6], Operations: [] Exploring Operation: 13-6=7, Resulting Numbers: [58, 17, 7] Generated Node #2: [58, 17, 7] from Operation: 13-6=7 Current State: 61:[58, 17, 7], Operations: ['13-6=7'] Exploring Operation: 17*7=119, Resulting Numbers: [58, 119] Generated Node #3: [58, 119] from Operation: 17*7=119 Current State: 61:[58, 119], Operations: ['13-6=7', '17*7=119'] Exploring Operation: 119-58=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 15, 83, 79, 87 ]
18
[ "87-15=72", "83-79=4", "72/4=18" ]
Current State: 18:[15, 83, 79, 87], Operations: [] Exploring Operation: 87-15=72, Resulting Numbers: [83, 79, 72] Generated Node #2: [83, 79, 72] from Operation: 87-15=72 Current State: 18:[83, 79, 72], Operations: ['87-15=72'] Exploring Operation: 83-79=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 83-79=4 Current State: 18:[72, 4], Operations: ['87-15=72', '83-79=4'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 91, 40, 16, 82 ]
65
[ "91+40=131", "82-16=66", "131-66=65" ]
Current State: 65:[91, 40, 16, 82], Operations: [] Exploring Operation: 91+40=131, Resulting Numbers: [16, 82, 131] Generated Node #2: [16, 82, 131] from Operation: 91+40=131 Current State: 65:[16, 82, 131], Operations: ['91+40=131'] Exploring Operation: 82-16=66, Resulting Numbers: [131, 66] Generated Node #3: [131, 66] from Operation: 82-16=66 Current State: 65:[131, 66], Operations: ['91+40=131', '82-16=66'] Exploring Operation: 131-66=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 31, 40, 20, 40 ]
49
[ "40/20=2", "40*2=80", "80-31=49" ]
Current State: 49:[31, 40, 20, 40], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [31, 2] Generated Node #2: [31, 2] from Operation: 40/20=2 Current State: 49:[31, 2], Operations: ['40/20=2'] Exploring Operation: 40*2=80, Resulting Numbers: [31, 80] Generated Node #3: [31, 80] from Operation: 40*2=80 Current State: 49:[31, 80], Operations: ['40/20=2', '40*2=80'] Exploring Operation: 80-31=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 65, 61, 70, 42 ]
67
[ "65+61=126", "126/42=3", "70-3=67" ]
Current State: 67:[65, 61, 70, 42], Operations: [] Exploring Operation: 65+61=126, Resulting Numbers: [70, 42, 126] Generated Node #2: [70, 42, 126] from Operation: 65+61=126 Current State: 67:[70, 42, 126], Operations: ['65+61=126'] Exploring Operation: 126/42=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 126/42=3 Current State: 67:[70, 3], Operations: ['65+61=126', '126/42=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 38, 39, 58, 44 ]
88
[ "38*44=1672", "58-39=19", "1672/19=88" ]
Current State: 88:[38, 39, 58, 44], Operations: [] Exploring Operation: 38*44=1672, Resulting Numbers: [39, 58, 1672] Generated Node #2: [39, 58, 1672] from Operation: 38*44=1672 Current State: 88:[39, 58, 1672], Operations: ['38*44=1672'] Exploring Operation: 58-39=19, Resulting Numbers: [1672, 19] Generated Node #3: [1672, 19] from Operation: 58-39=19 Current State: 88:[1672, 19], Operations: ['38*44=1672', '58-39=19'] Exploring Operation: 1672/19=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 87, 14, 98, 44 ]
50
[ "87-44=43", "98/14=7", "43+7=50" ]
Current State: 50:[87, 14, 98, 44], Operations: [] Exploring Operation: 87-44=43, Resulting Numbers: [14, 98, 43] Generated Node #2: [14, 98, 43] from Operation: 87-44=43 Current State: 50:[14, 98, 43], Operations: ['87-44=43'] Exploring Operation: 98/14=7, Resulting Numbers: [43, 7] Generated Node #3: [43, 7] from Operation: 98/14=7 Current State: 50:[43, 7], Operations: ['87-44=43', '98/14=7'] Exploring Operation: 43+7=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 73, 37, 53, 3 ]
20
[ "73-37=36", "53+3=56", "56-36=20" ]
Current State: 20:[73, 37, 53, 3], Operations: [] Exploring Operation: 73-37=36, Resulting Numbers: [53, 3, 36] Generated Node #2: [53, 3, 36] from Operation: 73-37=36 Current State: 20:[53, 3, 36], Operations: ['73-37=36'] Exploring Operation: 53+3=56, Resulting Numbers: [36, 56] Generated Node #3: [36, 56] from Operation: 53+3=56 Current State: 20:[36, 56], Operations: ['73-37=36', '53+3=56'] Exploring Operation: 56-36=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 37, 30, 3, 58 ]
62
[ "37-30=7", "58-3=55", "7+55=62" ]
Current State: 62:[37, 30, 3, 58], Operations: [] Exploring Operation: 37-30=7, Resulting Numbers: [3, 58, 7] Generated Node #2: [3, 58, 7] from Operation: 37-30=7 Current State: 62:[3, 58, 7], Operations: ['37-30=7'] Exploring Operation: 58-3=55, Resulting Numbers: [7, 55] Generated Node #3: [7, 55] from Operation: 58-3=55 Current State: 62:[7, 55], Operations: ['37-30=7', '58-3=55'] Exploring Operation: 7+55=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 85, 70, 20, 80 ]
19
[ "85-70=15", "80/20=4", "15+4=19" ]
Current State: 19:[85, 70, 20, 80], Operations: [] Exploring Operation: 85-70=15, Resulting Numbers: [20, 80, 15] Generated Node #2: [20, 80, 15] from Operation: 85-70=15 Current State: 19:[20, 80, 15], Operations: ['85-70=15'] Exploring Operation: 80/20=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 80/20=4 Current State: 19:[15, 4], Operations: ['85-70=15', '80/20=4'] Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 87, 19, 10, 2 ]
63
[ "87+19=106", "106/2=53", "10+53=63" ]
Current State: 63:[87, 19, 10, 2], Operations: [] Exploring Operation: 87+19=106, Resulting Numbers: [10, 2, 106] Generated Node #2: [10, 2, 106] from Operation: 87+19=106 Current State: 63:[10, 2, 106], Operations: ['87+19=106'] Exploring Operation: 106/2=53, Resulting Numbers: [10, 53] Generated Node #3: [10, 53] from Operation: 106/2=53 Current State: 63:[10, 53], Operations: ['87+19=106', '106/2=53'] Exploring Operation: 10+53=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 81, 99, 3, 71 ]
77
[ "99-81=18", "18/3=6", "71+6=77" ]
Current State: 77:[81, 99, 3, 71], Operations: [] Exploring Operation: 99-81=18, Resulting Numbers: [3, 71, 18] Generated Node #2: [3, 71, 18] from Operation: 99-81=18 Current State: 77:[3, 71, 18], Operations: ['99-81=18'] Exploring Operation: 18/3=6, Resulting Numbers: [71, 6] Generated Node #3: [71, 6] from Operation: 18/3=6 Current State: 77:[71, 6], Operations: ['99-81=18', '18/3=6'] Exploring Operation: 71+6=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 80, 50, 91, 67 ]
57
[ "80-67=13", "91/13=7", "50+7=57" ]
Current State: 57:[80, 50, 91, 67], Operations: [] Exploring Operation: 80-67=13, Resulting Numbers: [50, 91, 13] Generated Node #2: [50, 91, 13] from Operation: 80-67=13 Current State: 57:[50, 91, 13], Operations: ['80-67=13'] Exploring Operation: 91/13=7, Resulting Numbers: [50, 7] Generated Node #3: [50, 7] from Operation: 91/13=7 Current State: 57:[50, 7], Operations: ['80-67=13', '91/13=7'] Exploring Operation: 50+7=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 24, 98, 97, 23 ]
74
[ "24*97=2328", "98*23=2254", "2328-2254=74" ]
Current State: 74:[24, 98, 97, 23], Operations: [] Exploring Operation: 24*97=2328, Resulting Numbers: [98, 23, 2328] Generated Node #2: [98, 23, 2328] from Operation: 24*97=2328 Current State: 74:[98, 23, 2328], Operations: ['24*97=2328'] Exploring Operation: 98*23=2254, Resulting Numbers: [2328, 2254] Generated Node #3: [2328, 2254] from Operation: 98*23=2254 Current State: 74:[2328, 2254], Operations: ['24*97=2328', '98*23=2254'] Exploring Operation: 2328-2254=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 69, 22, 13, 79 ]
86
[ "69+22=91", "91/13=7", "79+7=86" ]
Current State: 86:[69, 22, 13, 79], Operations: [] Exploring Operation: 69+22=91, Resulting Numbers: [13, 79, 91] Generated Node #2: [13, 79, 91] from Operation: 69+22=91 Current State: 86:[13, 79, 91], Operations: ['69+22=91'] Exploring Operation: 91/13=7, Resulting Numbers: [79, 7] Generated Node #3: [79, 7] from Operation: 91/13=7 Current State: 86:[79, 7], Operations: ['69+22=91', '91/13=7'] Exploring Operation: 79+7=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 13, 11, 34, 54 ]
18
[ "13-11=2", "54-34=20", "20-2=18" ]
Current State: 18:[13, 11, 34, 54], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [34, 54, 2] Generated Node #2: [34, 54, 2] from Operation: 13-11=2 Current State: 18:[34, 54, 2], Operations: ['13-11=2'] Exploring Operation: 54-34=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 54-34=20 Current State: 18:[2, 20], Operations: ['13-11=2', '54-34=20'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 2, 22, 40, 19 ]
11
[ "40-2=38", "22*19=418", "418/38=11" ]
Current State: 11:[2, 22, 40, 19], Operations: [] Exploring Operation: 40-2=38, Resulting Numbers: [22, 19, 38] Generated Node #2: [22, 19, 38] from Operation: 40-2=38 Current State: 11:[22, 19, 38], Operations: ['40-2=38'] Exploring Operation: 22*19=418, Resulting Numbers: [38, 418] Generated Node #3: [38, 418] from Operation: 22*19=418 Current State: 11:[38, 418], Operations: ['40-2=38', '22*19=418'] Exploring Operation: 418/38=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 28, 34, 3, 23 ]
87
[ "34-28=6", "23+6=29", "3*29=87" ]
Current State: 87:[28, 34, 3, 23], Operations: [] Exploring Operation: 34-28=6, Resulting Numbers: [3, 23, 6] Generated Node #2: [3, 23, 6] from Operation: 34-28=6 Current State: 87:[3, 23, 6], Operations: ['34-28=6'] Exploring Operation: 23+6=29, Resulting Numbers: [3, 29] Generated Node #3: [3, 29] from Operation: 23+6=29 Current State: 87:[3, 29], Operations: ['34-28=6', '23+6=29'] Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 76, 21, 75, 73 ]
53
[ "76-21=55", "75-73=2", "55-2=53" ]
Current State: 53:[76, 21, 75, 73], Operations: [] Exploring Operation: 76-21=55, Resulting Numbers: [75, 73, 55] Generated Node #2: [75, 73, 55] from Operation: 76-21=55 Current State: 53:[75, 73, 55], Operations: ['76-21=55'] Exploring Operation: 75-73=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 75-73=2 Current State: 53:[55, 2], Operations: ['76-21=55', '75-73=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 70, 37, 37, 44 ]
47
[ "44-37=7", "70/7=10", "37+10=47" ]
Current State: 47:[70, 37, 37, 44], Operations: [] Exploring Operation: 44-37=7, Resulting Numbers: [70, 7] Generated Node #2: [70, 7] from Operation: 44-37=7 Current State: 47:[70, 7], Operations: ['44-37=7'] Exploring Operation: 70/7=10, Resulting Numbers: [10] 10,47 equal: Goal Reached Exploring Operation: 37+10=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 53, 68, 37, 63 ]
41
[ "68-53=15", "63-37=26", "15+26=41" ]
Current State: 41:[53, 68, 37, 63], Operations: [] Exploring Operation: 68-53=15, Resulting Numbers: [37, 63, 15] Generated Node #2: [37, 63, 15] from Operation: 68-53=15 Current State: 41:[37, 63, 15], Operations: ['68-53=15'] Exploring Operation: 63-37=26, Resulting Numbers: [15, 26] Generated Node #3: [15, 26] from Operation: 63-37=26 Current State: 41:[15, 26], Operations: ['68-53=15', '63-37=26'] Exploring Operation: 15+26=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 97, 95, 6, 59 ]
62
[ "97-95=2", "6/2=3", "59+3=62" ]
Current State: 62:[97, 95, 6, 59], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [6, 59, 2] Generated Node #2: [6, 59, 2] from Operation: 97-95=2 Current State: 62:[6, 59, 2], Operations: ['97-95=2'] Exploring Operation: 6/2=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 6/2=3 Current State: 62:[59, 3], Operations: ['97-95=2', '6/2=3'] Exploring Operation: 59+3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 75, 13, 7, 81 ]
49
[ "75+13=88", "88-81=7", "7*7=49" ]
Current State: 49:[75, 13, 7, 81], Operations: [] Exploring Operation: 75+13=88, Resulting Numbers: [7, 81, 88] Generated Node #2: [7, 81, 88] from Operation: 75+13=88 Current State: 49:[7, 81, 88], Operations: ['75+13=88'] Exploring Operation: 88-81=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 88-81=7 Current State: 49:[7, 7], Operations: ['75+13=88', '88-81=7'] Exploring Operation: 7*7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 20, 22, 50, 56 ]
78
[ "22-20=2", "56/2=28", "50+28=78" ]
Current State: 78:[20, 22, 50, 56], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [50, 56, 2] Generated Node #2: [50, 56, 2] from Operation: 22-20=2 Current State: 78:[50, 56, 2], Operations: ['22-20=2'] Exploring Operation: 56/2=28, Resulting Numbers: [50, 28] Generated Node #3: [50, 28] from Operation: 56/2=28 Current State: 78:[50, 28], Operations: ['22-20=2', '56/2=28'] Exploring Operation: 50+28=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 47, 29, 28, 6 ]
80
[ "47-29=18", "6*18=108", "108-28=80" ]
Current State: 80:[47, 29, 28, 6], Operations: [] Exploring Operation: 47-29=18, Resulting Numbers: [28, 6, 18] Generated Node #2: [28, 6, 18] from Operation: 47-29=18 Current State: 80:[28, 6, 18], Operations: ['47-29=18'] Exploring Operation: 6*18=108, Resulting Numbers: [28, 108] Generated Node #3: [28, 108] from Operation: 6*18=108 Current State: 80:[28, 108], Operations: ['47-29=18', '6*18=108'] Exploring Operation: 108-28=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 24, 16, 47, 87 ]
80
[ "24+16=40", "87-47=40", "40+40=80" ]
Current State: 80:[24, 16, 47, 87], Operations: [] Exploring Operation: 24+16=40, Resulting Numbers: [47, 87, 40] Generated Node #2: [47, 87, 40] from Operation: 24+16=40 Current State: 80:[47, 87, 40], Operations: ['24+16=40'] Exploring Operation: 87-47=40, Resulting Numbers: [40, 40] Generated Node #3: [40, 40] from Operation: 87-47=40 Current State: 80:[40, 40], Operations: ['24+16=40', '87-47=40'] Exploring Operation: 40+40=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 10, 61, 60, 9 ]
80
[ "61-60=1", "9-1=8", "10*8=80" ]
Current State: 80:[10, 61, 60, 9], Operations: [] Exploring Operation: 61-60=1, Resulting Numbers: [10, 9, 1] Generated Node #2: [10, 9, 1] from Operation: 61-60=1 Current State: 80:[10, 9, 1], Operations: ['61-60=1'] Exploring Operation: 9-1=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 9-1=8 Current State: 80:[10, 8], Operations: ['61-60=1', '9-1=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 42, 39, 4, 87 ]
94
[ "42-39=3", "4+87=91", "3+91=94" ]
Current State: 94:[42, 39, 4, 87], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [4, 87, 3] Generated Node #2: [4, 87, 3] from Operation: 42-39=3 Current State: 94:[4, 87, 3], Operations: ['42-39=3'] Exploring Operation: 4+87=91, Resulting Numbers: [3, 91] Generated Node #3: [3, 91] from Operation: 4+87=91 Current State: 94:[3, 91], Operations: ['42-39=3', '4+87=91'] Exploring Operation: 3+91=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 36, 12, 64, 19 ]
40
[ "12+64=76", "76/19=4", "36+4=40" ]
Current State: 40:[36, 12, 64, 19], Operations: [] Exploring Operation: 12+64=76, Resulting Numbers: [36, 19, 76] Generated Node #2: [36, 19, 76] from Operation: 12+64=76 Current State: 40:[36, 19, 76], Operations: ['12+64=76'] Exploring Operation: 76/19=4, Resulting Numbers: [36, 4] Generated Node #3: [36, 4] from Operation: 76/19=4 Current State: 40:[36, 4], Operations: ['12+64=76', '76/19=4'] Exploring Operation: 36+4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 39, 16, 54 ]
83
[ "39/3=13", "16+54=70", "13+70=83" ]
Current State: 83:[3, 39, 16, 54], Operations: [] Exploring Operation: 39/3=13, Resulting Numbers: [16, 54, 13] Generated Node #2: [16, 54, 13] from Operation: 39/3=13 Current State: 83:[16, 54, 13], Operations: ['39/3=13'] Exploring Operation: 16+54=70, Resulting Numbers: [13, 70] Generated Node #3: [13, 70] from Operation: 16+54=70 Current State: 83:[13, 70], Operations: ['39/3=13', '16+54=70'] Exploring Operation: 13+70=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 99, 64, 52, 76 ]
97
[ "52+76=128", "128/64=2", "99-2=97" ]
Current State: 97:[99, 64, 52, 76], Operations: [] Exploring Operation: 52+76=128, Resulting Numbers: [99, 64, 128] Generated Node #2: [99, 64, 128] from Operation: 52+76=128 Current State: 97:[99, 64, 128], Operations: ['52+76=128'] Exploring Operation: 128/64=2, Resulting Numbers: [99, 2] Generated Node #3: [99, 2] from Operation: 128/64=2 Current State: 97:[99, 2], Operations: ['52+76=128', '128/64=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 91, 7, 83, 68 ]
78
[ "91-68=23", "7*23=161", "161-83=78" ]
Current State: 78:[91, 7, 83, 68], Operations: [] Exploring Operation: 91-68=23, Resulting Numbers: [7, 83, 23] Generated Node #2: [7, 83, 23] from Operation: 91-68=23 Current State: 78:[7, 83, 23], Operations: ['91-68=23'] Exploring Operation: 7*23=161, Resulting Numbers: [83, 161] Generated Node #3: [83, 161] from Operation: 7*23=161 Current State: 78:[83, 161], Operations: ['91-68=23', '7*23=161'] Exploring Operation: 161-83=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 55, 50, 10, 22 ]
46
[ "10*22=220", "220/55=4", "50-4=46" ]
Current State: 46:[55, 50, 10, 22], Operations: [] Exploring Operation: 10*22=220, Resulting Numbers: [55, 50, 220] Generated Node #2: [55, 50, 220] from Operation: 10*22=220 Current State: 46:[55, 50, 220], Operations: ['10*22=220'] Exploring Operation: 220/55=4, Resulting Numbers: [50, 4] Generated Node #3: [50, 4] from Operation: 220/55=4 Current State: 46:[50, 4], Operations: ['10*22=220', '220/55=4'] Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 32, 49, 57, 25 ]
100
[ "32*25=800", "57-49=8", "800/8=100" ]
Current State: 100:[32, 49, 57, 25], Operations: [] Exploring Operation: 32*25=800, Resulting Numbers: [49, 57, 800] Generated Node #2: [49, 57, 800] from Operation: 32*25=800 Current State: 100:[49, 57, 800], Operations: ['32*25=800'] Exploring Operation: 57-49=8, Resulting Numbers: [800, 8] Generated Node #3: [800, 8] from Operation: 57-49=8 Current State: 100:[800, 8], Operations: ['32*25=800', '57-49=8'] Exploring Operation: 800/8=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 93, 36, 87, 89 ]
47
[ "93+36=129", "87+89=176", "176-129=47" ]
Current State: 47:[93, 36, 87, 89], Operations: [] Exploring Operation: 93+36=129, Resulting Numbers: [87, 89, 129] Generated Node #2: [87, 89, 129] from Operation: 93+36=129 Current State: 47:[87, 89, 129], Operations: ['93+36=129'] Exploring Operation: 87+89=176, Resulting Numbers: [129, 176] Generated Node #3: [129, 176] from Operation: 87+89=176 Current State: 47:[129, 176], Operations: ['93+36=129', '87+89=176'] Exploring Operation: 176-129=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 73, 3, 23, 86 ]
54
[ "73+23=96", "96/3=32", "86-32=54" ]
Current State: 54:[73, 3, 23, 86], Operations: [] Exploring Operation: 73+23=96, Resulting Numbers: [3, 86, 96] Generated Node #2: [3, 86, 96] from Operation: 73+23=96 Current State: 54:[3, 86, 96], Operations: ['73+23=96'] Exploring Operation: 96/3=32, Resulting Numbers: [86, 32] Generated Node #3: [86, 32] from Operation: 96/3=32 Current State: 54:[86, 32], Operations: ['73+23=96', '96/3=32'] Exploring Operation: 86-32=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 38, 58, 61, 42 ]
92
[ "58*61=3538", "3538-42=3496", "3496/38=92" ]
Current State: 92:[38, 58, 61, 42], Operations: [] Exploring Operation: 58*61=3538, Resulting Numbers: [38, 42, 3538] Generated Node #2: [38, 42, 3538] from Operation: 58*61=3538 Current State: 92:[38, 42, 3538], Operations: ['58*61=3538'] Exploring Operation: 3538-42=3496, Resulting Numbers: [38, 3496] Generated Node #3: [38, 3496] from Operation: 3538-42=3496 Current State: 92:[38, 3496], Operations: ['58*61=3538', '3538-42=3496'] Exploring Operation: 3496/38=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 4, 95, 29, 17 ]
14
[ "95+29=124", "124/4=31", "31-17=14" ]
Current State: 14:[4, 95, 29, 17], Operations: [] Exploring Operation: 95+29=124, Resulting Numbers: [4, 17, 124] Generated Node #2: [4, 17, 124] from Operation: 95+29=124 Current State: 14:[4, 17, 124], Operations: ['95+29=124'] Exploring Operation: 124/4=31, Resulting Numbers: [17, 31] Generated Node #3: [17, 31] from Operation: 124/4=31 Current State: 14:[17, 31], Operations: ['95+29=124', '124/4=31'] Exploring Operation: 31-17=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 27, 36, 6, 78 ]
76
[ "27+36=63", "78/6=13", "63+13=76" ]
Current State: 76:[27, 36, 6, 78], Operations: [] Exploring Operation: 27+36=63, Resulting Numbers: [6, 78, 63] Generated Node #2: [6, 78, 63] from Operation: 27+36=63 Current State: 76:[6, 78, 63], Operations: ['27+36=63'] Exploring Operation: 78/6=13, Resulting Numbers: [63, 13] Generated Node #3: [63, 13] from Operation: 78/6=13 Current State: 76:[63, 13], Operations: ['27+36=63', '78/6=13'] Exploring Operation: 63+13=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 54, 22, 90, 88 ]
49
[ "90-88=2", "54/2=27", "22+27=49" ]
Current State: 49:[54, 22, 90, 88], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [54, 22, 2] Generated Node #2: [54, 22, 2] from Operation: 90-88=2 Current State: 49:[54, 22, 2], Operations: ['90-88=2'] Exploring Operation: 54/2=27, Resulting Numbers: [22, 27] Generated Node #3: [22, 27] from Operation: 54/2=27 Current State: 49:[22, 27], Operations: ['90-88=2', '54/2=27'] Exploring Operation: 22+27=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 29, 60, 24, 91 ]
13
[ "60-29=31", "31-24=7", "91/7=13" ]
Current State: 13:[29, 60, 24, 91], Operations: [] Exploring Operation: 60-29=31, Resulting Numbers: [24, 91, 31] Generated Node #2: [24, 91, 31] from Operation: 60-29=31 Current State: 13:[24, 91, 31], Operations: ['60-29=31'] Exploring Operation: 31-24=7, Resulting Numbers: [91, 7] Generated Node #3: [91, 7] from Operation: 31-24=7 Current State: 13:[91, 7], Operations: ['60-29=31', '31-24=7'] Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 13, 74, 97, 59 ]
95
[ "74-13=61", "97+59=156", "156-61=95" ]
Current State: 95:[13, 74, 97, 59], Operations: [] Exploring Operation: 74-13=61, Resulting Numbers: [97, 59, 61] Generated Node #2: [97, 59, 61] from Operation: 74-13=61 Current State: 95:[97, 59, 61], Operations: ['74-13=61'] Exploring Operation: 97+59=156, Resulting Numbers: [61, 156] Generated Node #3: [61, 156] from Operation: 97+59=156 Current State: 95:[61, 156], Operations: ['74-13=61', '97+59=156'] Exploring Operation: 156-61=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 15, 35, 70, 81 ]
39
[ "15+35=50", "81-70=11", "50-11=39" ]
Current State: 39:[15, 35, 70, 81], Operations: [] Exploring Operation: 15+35=50, Resulting Numbers: [70, 81, 50] Generated Node #2: [70, 81, 50] from Operation: 15+35=50 Current State: 39:[70, 81, 50], Operations: ['15+35=50'] Exploring Operation: 81-70=11, Resulting Numbers: [50, 11] Generated Node #3: [50, 11] from Operation: 81-70=11 Current State: 39:[50, 11], Operations: ['15+35=50', '81-70=11'] Exploring Operation: 50-11=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 57, 71, 26, 2 ]
54
[ "71-57=14", "2*14=28", "26+28=54" ]
Current State: 54:[57, 71, 26, 2], Operations: [] Exploring Operation: 71-57=14, Resulting Numbers: [26, 2, 14] Generated Node #2: [26, 2, 14] from Operation: 71-57=14 Current State: 54:[26, 2, 14], Operations: ['71-57=14'] Exploring Operation: 2*14=28, Resulting Numbers: [26, 28] Generated Node #3: [26, 28] from Operation: 2*14=28 Current State: 54:[26, 28], Operations: ['71-57=14', '2*14=28'] Exploring Operation: 26+28=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 43, 40, 76, 85 ]
74
[ "43+40=83", "85-76=9", "83-9=74" ]
Current State: 74:[43, 40, 76, 85], Operations: [] Exploring Operation: 43+40=83, Resulting Numbers: [76, 85, 83] Generated Node #2: [76, 85, 83] from Operation: 43+40=83 Current State: 74:[76, 85, 83], Operations: ['43+40=83'] Exploring Operation: 85-76=9, Resulting Numbers: [83, 9] Generated Node #3: [83, 9] from Operation: 85-76=9 Current State: 74:[83, 9], Operations: ['43+40=83', '85-76=9'] Exploring Operation: 83-9=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 59, 19, 15, 38 ]
17
[ "59-19=40", "38-15=23", "40-23=17" ]
Current State: 17:[59, 19, 15, 38], Operations: [] Exploring Operation: 59-19=40, Resulting Numbers: [15, 38, 40] Generated Node #2: [15, 38, 40] from Operation: 59-19=40 Current State: 17:[15, 38, 40], Operations: ['59-19=40'] Exploring Operation: 38-15=23, Resulting Numbers: [40, 23] Generated Node #3: [40, 23] from Operation: 38-15=23 Current State: 17:[40, 23], Operations: ['59-19=40', '38-15=23'] Exploring Operation: 40-23=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 6, 1, 46, 97 ]
57
[ "6*1=6", "97-46=51", "6+51=57" ]
Current State: 57:[6, 1, 46, 97], Operations: [] Exploring Operation: 6*1=6, Resulting Numbers: [46, 97, 6] Generated Node #2: [46, 97, 6] from Operation: 6*1=6 Current State: 57:[46, 97, 6], Operations: ['6*1=6'] Exploring Operation: 97-46=51, Resulting Numbers: [6, 51] Generated Node #3: [6, 51] from Operation: 97-46=51 Current State: 57:[6, 51], Operations: ['6*1=6', '97-46=51'] Exploring Operation: 6+51=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 43, 20, 45, 21 ]
62
[ "45-43=2", "21*2=42", "20+42=62" ]
Current State: 62:[43, 20, 45, 21], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [20, 21, 2] Generated Node #2: [20, 21, 2] from Operation: 45-43=2 Current State: 62:[20, 21, 2], Operations: ['45-43=2'] Exploring Operation: 21*2=42, Resulting Numbers: [20, 42] Generated Node #3: [20, 42] from Operation: 21*2=42 Current State: 62:[20, 42], Operations: ['45-43=2', '21*2=42'] Exploring Operation: 20+42=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 5, 92, 9, 46 ]
93
[ "5*9=45", "92+46=138", "138-45=93" ]
Current State: 93:[5, 92, 9, 46], Operations: [] Exploring Operation: 5*9=45, Resulting Numbers: [92, 46, 45] Generated Node #2: [92, 46, 45] from Operation: 5*9=45 Current State: 93:[92, 46, 45], Operations: ['5*9=45'] Exploring Operation: 92+46=138, Resulting Numbers: [45, 138] Generated Node #3: [45, 138] from Operation: 92+46=138 Current State: 93:[45, 138], Operations: ['5*9=45', '92+46=138'] Exploring Operation: 138-45=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 54, 45, 67, 39 ]
58
[ "45-39=6", "54/6=9", "67-9=58" ]
Current State: 58:[54, 45, 67, 39], Operations: [] Exploring Operation: 45-39=6, Resulting Numbers: [54, 67, 6] Generated Node #2: [54, 67, 6] from Operation: 45-39=6 Current State: 58:[54, 67, 6], Operations: ['45-39=6'] Exploring Operation: 54/6=9, Resulting Numbers: [67, 9] Generated Node #3: [67, 9] from Operation: 54/6=9 Current State: 58:[67, 9], Operations: ['45-39=6', '54/6=9'] Exploring Operation: 67-9=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 53, 41, 84, 71 ]
81
[ "53+41=94", "84-71=13", "94-13=81" ]
Current State: 81:[53, 41, 84, 71], Operations: [] Exploring Operation: 53+41=94, Resulting Numbers: [84, 71, 94] Generated Node #2: [84, 71, 94] from Operation: 53+41=94 Current State: 81:[84, 71, 94], Operations: ['53+41=94'] Exploring Operation: 84-71=13, Resulting Numbers: [94, 13] Generated Node #3: [94, 13] from Operation: 84-71=13 Current State: 81:[94, 13], Operations: ['53+41=94', '84-71=13'] Exploring Operation: 94-13=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 98, 78, 19, 2 ]
10
[ "98/2=49", "78-19=59", "59-49=10" ]
Current State: 10:[98, 78, 19, 2], Operations: [] Exploring Operation: 98/2=49, Resulting Numbers: [78, 19, 49] Generated Node #2: [78, 19, 49] from Operation: 98/2=49 Current State: 10:[78, 19, 49], Operations: ['98/2=49'] Exploring Operation: 78-19=59, Resulting Numbers: [49, 59] Generated Node #3: [49, 59] from Operation: 78-19=59 Current State: 10:[49, 59], Operations: ['98/2=49', '78-19=59'] Exploring Operation: 59-49=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 81, 40, 24, 66 ]
69
[ "81*40=3240", "3240/24=135", "135-66=69" ]
Current State: 69:[81, 40, 24, 66], Operations: [] Exploring Operation: 81*40=3240, Resulting Numbers: [24, 66, 3240] Generated Node #2: [24, 66, 3240] from Operation: 81*40=3240 Current State: 69:[24, 66, 3240], Operations: ['81*40=3240'] Exploring Operation: 3240/24=135, Resulting Numbers: [66, 135] Generated Node #3: [66, 135] from Operation: 3240/24=135 Current State: 69:[66, 135], Operations: ['81*40=3240', '3240/24=135'] Exploring Operation: 135-66=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 31, 86, 82, 57 ]
67
[ "86-82=4", "31*4=124", "124-57=67" ]
Current State: 67:[31, 86, 82, 57], Operations: [] Exploring Operation: 86-82=4, Resulting Numbers: [31, 57, 4] Generated Node #2: [31, 57, 4] from Operation: 86-82=4 Current State: 67:[31, 57, 4], Operations: ['86-82=4'] Exploring Operation: 31*4=124, Resulting Numbers: [57, 124] Generated Node #3: [57, 124] from Operation: 31*4=124 Current State: 67:[57, 124], Operations: ['86-82=4', '31*4=124'] Exploring Operation: 124-57=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 6, 6, 95, 1 ]
58
[ "6*6=36", "95-1=94", "94-36=58" ]
Current State: 58:[6, 6, 95, 1], Operations: [] Exploring Operation: 6*6=36, Resulting Numbers: [95, 1, 36] Generated Node #2: [95, 1, 36] from Operation: 6*6=36 Current State: 58:[95, 1, 36], Operations: ['6*6=36'] Exploring Operation: 95-1=94, Resulting Numbers: [36, 94] Generated Node #3: [36, 94] from Operation: 95-1=94 Current State: 58:[36, 94], Operations: ['6*6=36', '95-1=94'] Exploring Operation: 94-36=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 22, 15, 7, 4 ]
20
[ "15-7=8", "8/4=2", "22-2=20" ]
Current State: 20:[22, 15, 7, 4], Operations: [] Exploring Operation: 15-7=8, Resulting Numbers: [22, 4, 8] Generated Node #2: [22, 4, 8] from Operation: 15-7=8 Current State: 20:[22, 4, 8], Operations: ['15-7=8'] Exploring Operation: 8/4=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 8/4=2 Current State: 20:[22, 2], Operations: ['15-7=8', '8/4=2'] Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 77, 80, 11, 61 ]
24
[ "80-77=3", "11+61=72", "72/3=24" ]
Current State: 24:[77, 80, 11, 61], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [11, 61, 3] Generated Node #2: [11, 61, 3] from Operation: 80-77=3 Current State: 24:[11, 61, 3], Operations: ['80-77=3'] Exploring Operation: 11+61=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 11+61=72 Current State: 24:[3, 72], Operations: ['80-77=3', '11+61=72'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 49, 94, 4, 77 ]
70
[ "49+94=143", "77-4=73", "143-73=70" ]
Current State: 70:[49, 94, 4, 77], Operations: [] Exploring Operation: 49+94=143, Resulting Numbers: [4, 77, 143] Generated Node #2: [4, 77, 143] from Operation: 49+94=143 Current State: 70:[4, 77, 143], Operations: ['49+94=143'] Exploring Operation: 77-4=73, Resulting Numbers: [143, 73] Generated Node #3: [143, 73] from Operation: 77-4=73 Current State: 70:[143, 73], Operations: ['49+94=143', '77-4=73'] Exploring Operation: 143-73=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 15, 83, 5, 65 ]
81
[ "83-15=68", "65/5=13", "68+13=81" ]
Current State: 81:[15, 83, 5, 65], Operations: [] Exploring Operation: 83-15=68, Resulting Numbers: [5, 65, 68] Generated Node #2: [5, 65, 68] from Operation: 83-15=68 Current State: 81:[5, 65, 68], Operations: ['83-15=68'] Exploring Operation: 65/5=13, Resulting Numbers: [68, 13] Generated Node #3: [68, 13] from Operation: 65/5=13 Current State: 81:[68, 13], Operations: ['83-15=68', '65/5=13'] Exploring Operation: 68+13=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 32, 17, 37, 72 ]
24
[ "17+37=54", "32*54=1728", "1728/72=24" ]
Current State: 24:[32, 17, 37, 72], Operations: [] Exploring Operation: 17+37=54, Resulting Numbers: [32, 72, 54] Generated Node #2: [32, 72, 54] from Operation: 17+37=54 Current State: 24:[32, 72, 54], Operations: ['17+37=54'] Exploring Operation: 32*54=1728, Resulting Numbers: [72, 1728] Generated Node #3: [72, 1728] from Operation: 32*54=1728 Current State: 24:[72, 1728], Operations: ['17+37=54', '32*54=1728'] Exploring Operation: 1728/72=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 48, 96, 56, 23 ]
77
[ "96/48=2", "56+23=79", "79-2=77" ]
Current State: 77:[48, 96, 56, 23], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [56, 23, 2] Generated Node #2: [56, 23, 2] from Operation: 96/48=2 Current State: 77:[56, 23, 2], Operations: ['96/48=2'] Exploring Operation: 56+23=79, Resulting Numbers: [2, 79] Generated Node #3: [2, 79] from Operation: 56+23=79 Current State: 77:[2, 79], Operations: ['96/48=2', '56+23=79'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 52, 56, 42, 3 ]
26
[ "52-42=10", "3*10=30", "56-30=26" ]
Current State: 26:[52, 56, 42, 3], Operations: [] Exploring Operation: 52-42=10, Resulting Numbers: [56, 3, 10] Generated Node #2: [56, 3, 10] from Operation: 52-42=10 Current State: 26:[56, 3, 10], Operations: ['52-42=10'] Exploring Operation: 3*10=30, Resulting Numbers: [56, 30] Generated Node #3: [56, 30] from Operation: 3*10=30 Current State: 26:[56, 30], Operations: ['52-42=10', '3*10=30'] Exploring Operation: 56-30=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 13, 15, 48, 13 ]
83
[ "15-13=2", "48*2=96", "96-13=83" ]
Current State: 83:[13, 15, 48, 13], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [48, 2] Generated Node #2: [48, 2] from Operation: 15-13=2 Current State: 83:[48, 2], Operations: ['15-13=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,83 equal: Goal Reached Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 25, 87, 92, 19 ]
24
[ "92-87=5", "25/5=5", "19+5=24" ]
Current State: 24:[25, 87, 92, 19], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [25, 19, 5] Generated Node #2: [25, 19, 5] from Operation: 92-87=5 Current State: 24:[25, 19, 5], Operations: ['92-87=5'] Exploring Operation: 25/5=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 25/5=5 Current State: 24:[19, 5], Operations: ['92-87=5', '25/5=5'] Exploring Operation: 19+5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 43, 12, 20, 10 ]
25
[ "43+12=55", "20+10=30", "55-30=25" ]
Current State: 25:[43, 12, 20, 10], Operations: [] Exploring Operation: 43+12=55, Resulting Numbers: [20, 10, 55] Generated Node #2: [20, 10, 55] from Operation: 43+12=55 Current State: 25:[20, 10, 55], Operations: ['43+12=55'] Exploring Operation: 20+10=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 20+10=30 Current State: 25:[55, 30], Operations: ['43+12=55', '20+10=30'] Exploring Operation: 55-30=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 95, 15, 85, 51 ]
99
[ "95-85=10", "15*10=150", "150-51=99" ]
Current State: 99:[95, 15, 85, 51], Operations: [] Exploring Operation: 95-85=10, Resulting Numbers: [15, 51, 10] Generated Node #2: [15, 51, 10] from Operation: 95-85=10 Current State: 99:[15, 51, 10], Operations: ['95-85=10'] Exploring Operation: 15*10=150, Resulting Numbers: [51, 150] Generated Node #3: [51, 150] from Operation: 15*10=150 Current State: 99:[51, 150], Operations: ['95-85=10', '15*10=150'] Exploring Operation: 150-51=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 46, 23, 63, 59 ]
65
[ "46+23=69", "63-59=4", "69-4=65" ]
Current State: 65:[46, 23, 63, 59], Operations: [] Exploring Operation: 46+23=69, Resulting Numbers: [63, 59, 69] Generated Node #2: [63, 59, 69] from Operation: 46+23=69 Current State: 65:[63, 59, 69], Operations: ['46+23=69'] Exploring Operation: 63-59=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 63-59=4 Current State: 65:[69, 4], Operations: ['46+23=69', '63-59=4'] Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 10, 68, 69, 45 ]
34
[ "68-10=58", "69-45=24", "58-24=34" ]
Current State: 34:[10, 68, 69, 45], Operations: [] Exploring Operation: 68-10=58, Resulting Numbers: [69, 45, 58] Generated Node #2: [69, 45, 58] from Operation: 68-10=58 Current State: 34:[69, 45, 58], Operations: ['68-10=58'] Exploring Operation: 69-45=24, Resulting Numbers: [58, 24] Generated Node #3: [58, 24] from Operation: 69-45=24 Current State: 34:[58, 24], Operations: ['68-10=58', '69-45=24'] Exploring Operation: 58-24=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 30, 90, 78, 95 ]
20
[ "90/30=3", "95-78=17", "3+17=20" ]
Current State: 20:[30, 90, 78, 95], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [78, 95, 3] Generated Node #2: [78, 95, 3] from Operation: 90/30=3 Current State: 20:[78, 95, 3], Operations: ['90/30=3'] Exploring Operation: 95-78=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 95-78=17 Current State: 20:[3, 17], Operations: ['90/30=3', '95-78=17'] Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 42, 55, 23, 65 ]
56
[ "42+23=65", "65/65=1", "55+1=56" ]
Current State: 56:[42, 55, 23, 65], Operations: [] Exploring Operation: 42+23=65, Resulting Numbers: [55, 65, 65] Generated Node #2: [55, 65, 65] from Operation: 42+23=65 Current State: 56:[55, 65, 65], Operations: ['42+23=65'] Exploring Operation: 65/65=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 65/65=1 Current State: 56:[55, 1], Operations: ['42+23=65', '65/65=1'] Exploring Operation: 55+1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 61, 61, 23, 3 ]
23
[ "61-61=0", "3*0=0", "23+0=23" ]
Current State: 23:[61, 61, 23, 3], Operations: [] Exploring Operation: 61-61=0, Resulting Numbers: [23, 3, 0] Generated Node #2: [23, 3, 0] from Operation: 61-61=0 Current State: 23:[23, 3, 0], Operations: ['61-61=0'] Exploring Operation: 3*0=0, Resulting Numbers: [23, 0] Generated Node #3: [23, 0] from Operation: 3*0=0 Current State: 23:[23, 0], Operations: ['61-61=0', '3*0=0'] Exploring Operation: 23+0=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 31, 80, 32, 3 ]
78
[ "80-31=49", "32-3=29", "49+29=78" ]
Current State: 78:[31, 80, 32, 3], Operations: [] Exploring Operation: 80-31=49, Resulting Numbers: [32, 3, 49] Generated Node #2: [32, 3, 49] from Operation: 80-31=49 Current State: 78:[32, 3, 49], Operations: ['80-31=49'] Exploring Operation: 32-3=29, Resulting Numbers: [49, 29] Generated Node #3: [49, 29] from Operation: 32-3=29 Current State: 78:[49, 29], Operations: ['80-31=49', '32-3=29'] Exploring Operation: 49+29=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 12, 30, 66, 95 ]
71
[ "12+30=42", "95-66=29", "42+29=71" ]
Current State: 71:[12, 30, 66, 95], Operations: [] Exploring Operation: 12+30=42, Resulting Numbers: [66, 95, 42] Generated Node #2: [66, 95, 42] from Operation: 12+30=42 Current State: 71:[66, 95, 42], Operations: ['12+30=42'] Exploring Operation: 95-66=29, Resulting Numbers: [42, 29] Generated Node #3: [42, 29] from Operation: 95-66=29 Current State: 71:[42, 29], Operations: ['12+30=42', '95-66=29'] Exploring Operation: 42+29=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 6, 95, 53, 13 ]
23
[ "95-6=89", "53+13=66", "89-66=23" ]
Current State: 23:[6, 95, 53, 13], Operations: [] Exploring Operation: 95-6=89, Resulting Numbers: [53, 13, 89] Generated Node #2: [53, 13, 89] from Operation: 95-6=89 Current State: 23:[53, 13, 89], Operations: ['95-6=89'] Exploring Operation: 53+13=66, Resulting Numbers: [89, 66] Generated Node #3: [89, 66] from Operation: 53+13=66 Current State: 23:[89, 66], Operations: ['95-6=89', '53+13=66'] Exploring Operation: 89-66=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 36, 68, 13, 50 ]
41
[ "36+68=104", "13+50=63", "104-63=41" ]
Current State: 41:[36, 68, 13, 50], Operations: [] Exploring Operation: 36+68=104, Resulting Numbers: [13, 50, 104] Generated Node #2: [13, 50, 104] from Operation: 36+68=104 Current State: 41:[13, 50, 104], Operations: ['36+68=104'] Exploring Operation: 13+50=63, Resulting Numbers: [104, 63] Generated Node #3: [104, 63] from Operation: 13+50=63 Current State: 41:[104, 63], Operations: ['36+68=104', '13+50=63'] Exploring Operation: 104-63=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 67, 37, 96, 8 ]
64
[ "67+37=104", "104-96=8", "8*8=64" ]
Current State: 64:[67, 37, 96, 8], Operations: [] Exploring Operation: 67+37=104, Resulting Numbers: [96, 8, 104] Generated Node #2: [96, 8, 104] from Operation: 67+37=104 Current State: 64:[96, 8, 104], Operations: ['67+37=104'] Exploring Operation: 104-96=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 104-96=8 Current State: 64:[8, 8], Operations: ['67+37=104', '104-96=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 41, 45, 59, 52 ]
46
[ "45-41=4", "52/4=13", "59-13=46" ]
Current State: 46:[41, 45, 59, 52], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [59, 52, 4] Generated Node #2: [59, 52, 4] from Operation: 45-41=4 Current State: 46:[59, 52, 4], Operations: ['45-41=4'] Exploring Operation: 52/4=13, Resulting Numbers: [59, 13] Generated Node #3: [59, 13] from Operation: 52/4=13 Current State: 46:[59, 13], Operations: ['45-41=4', '52/4=13'] Exploring Operation: 59-13=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 47, 43, 15, 85 ]
20
[ "47+43=90", "85-15=70", "90-70=20" ]
Current State: 20:[47, 43, 15, 85], Operations: [] Exploring Operation: 47+43=90, Resulting Numbers: [15, 85, 90] Generated Node #2: [15, 85, 90] from Operation: 47+43=90 Current State: 20:[15, 85, 90], Operations: ['47+43=90'] Exploring Operation: 85-15=70, Resulting Numbers: [90, 70] Generated Node #3: [90, 70] from Operation: 85-15=70 Current State: 20:[90, 70], Operations: ['47+43=90', '85-15=70'] Exploring Operation: 90-70=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 99, 72, 82, 81 ]
78
[ "99-81=18", "72/18=4", "82-4=78" ]
Current State: 78:[99, 72, 82, 81], Operations: [] Exploring Operation: 99-81=18, Resulting Numbers: [72, 82, 18] Generated Node #2: [72, 82, 18] from Operation: 99-81=18 Current State: 78:[72, 82, 18], Operations: ['99-81=18'] Exploring Operation: 72/18=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 72/18=4 Current State: 78:[82, 4], Operations: ['99-81=18', '72/18=4'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 57, 78, 72, 73 ]
75
[ "72-57=15", "78-73=5", "15*5=75" ]
Current State: 75:[57, 78, 72, 73], Operations: [] Exploring Operation: 72-57=15, Resulting Numbers: [78, 73, 15] Generated Node #2: [78, 73, 15] from Operation: 72-57=15 Current State: 75:[78, 73, 15], Operations: ['72-57=15'] Exploring Operation: 78-73=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 78-73=5 Current State: 75:[15, 5], Operations: ['72-57=15', '78-73=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 32, 5, 73, 19 ]
65
[ "32-5=27", "73+19=92", "92-27=65" ]
Current State: 65:[32, 5, 73, 19], Operations: [] Exploring Operation: 32-5=27, Resulting Numbers: [73, 19, 27] Generated Node #2: [73, 19, 27] from Operation: 32-5=27 Current State: 65:[73, 19, 27], Operations: ['32-5=27'] Exploring Operation: 73+19=92, Resulting Numbers: [27, 92] Generated Node #3: [27, 92] from Operation: 73+19=92 Current State: 65:[27, 92], Operations: ['32-5=27', '73+19=92'] Exploring Operation: 92-27=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 12, 19, 76, 9 ]
48
[ "76/19=4", "9*4=36", "12+36=48" ]
Current State: 48:[12, 19, 76, 9], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [12, 9, 4] Generated Node #2: [12, 9, 4] from Operation: 76/19=4 Current State: 48:[12, 9, 4], Operations: ['76/19=4'] Exploring Operation: 9*4=36, Resulting Numbers: [12, 36] Generated Node #3: [12, 36] from Operation: 9*4=36 Current State: 48:[12, 36], Operations: ['76/19=4', '9*4=36'] Exploring Operation: 12+36=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 91, 81, 54, 9 ]
94
[ "81-54=27", "27/9=3", "91+3=94" ]
Current State: 94:[91, 81, 54, 9], Operations: [] Exploring Operation: 81-54=27, Resulting Numbers: [91, 9, 27] Generated Node #2: [91, 9, 27] from Operation: 81-54=27 Current State: 94:[91, 9, 27], Operations: ['81-54=27'] Exploring Operation: 27/9=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 27/9=3 Current State: 94:[91, 3], Operations: ['81-54=27', '27/9=3'] Exploring Operation: 91+3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 70, 26, 39, 49 ]
19
[ "49-39=10", "70/10=7", "26-7=19" ]
Current State: 19:[70, 26, 39, 49], Operations: [] Exploring Operation: 49-39=10, Resulting Numbers: [70, 26, 10] Generated Node #2: [70, 26, 10] from Operation: 49-39=10 Current State: 19:[70, 26, 10], Operations: ['49-39=10'] Exploring Operation: 70/10=7, Resulting Numbers: [26, 7] Generated Node #3: [26, 7] from Operation: 70/10=7 Current State: 19:[26, 7], Operations: ['49-39=10', '70/10=7'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 52, 89, 13, 51 ]
54
[ "89+13=102", "102/51=2", "52+2=54" ]
Current State: 54:[52, 89, 13, 51], Operations: [] Exploring Operation: 89+13=102, Resulting Numbers: [52, 51, 102] Generated Node #2: [52, 51, 102] from Operation: 89+13=102 Current State: 54:[52, 51, 102], Operations: ['89+13=102'] Exploring Operation: 102/51=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 102/51=2 Current State: 54:[52, 2], Operations: ['89+13=102', '102/51=2'] Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 98, 61, 13, 36 ]
59
[ "13+36=49", "98/49=2", "61-2=59" ]
Current State: 59:[98, 61, 13, 36], Operations: [] Exploring Operation: 13+36=49, Resulting Numbers: [98, 61, 49] Generated Node #2: [98, 61, 49] from Operation: 13+36=49 Current State: 59:[98, 61, 49], Operations: ['13+36=49'] Exploring Operation: 98/49=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 98/49=2 Current State: 59:[61, 2], Operations: ['13+36=49', '98/49=2'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 3, 38, 2, 94 ]
61
[ "38-3=35", "2+94=96", "96-35=61" ]
Current State: 61:[3, 38, 2, 94], Operations: [] Exploring Operation: 38-3=35, Resulting Numbers: [2, 94, 35] Generated Node #2: [2, 94, 35] from Operation: 38-3=35 Current State: 61:[2, 94, 35], Operations: ['38-3=35'] Exploring Operation: 2+94=96, Resulting Numbers: [35, 96] Generated Node #3: [35, 96] from Operation: 2+94=96 Current State: 61:[35, 96], Operations: ['38-3=35', '2+94=96'] Exploring Operation: 96-35=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 5, 86, 12, 1 ]
80
[ "5+86=91", "12-1=11", "91-11=80" ]
Current State: 80:[5, 86, 12, 1], Operations: [] Exploring Operation: 5+86=91, Resulting Numbers: [12, 1, 91] Generated Node #2: [12, 1, 91] from Operation: 5+86=91 Current State: 80:[12, 1, 91], Operations: ['5+86=91'] Exploring Operation: 12-1=11, Resulting Numbers: [91, 11] Generated Node #3: [91, 11] from Operation: 12-1=11 Current State: 80:[91, 11], Operations: ['5+86=91', '12-1=11'] Exploring Operation: 91-11=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 81, 80, 58, 66 ]
91
[ "66-58=8", "80/8=10", "81+10=91" ]
Current State: 91:[81, 80, 58, 66], Operations: [] Exploring Operation: 66-58=8, Resulting Numbers: [81, 80, 8] Generated Node #2: [81, 80, 8] from Operation: 66-58=8 Current State: 91:[81, 80, 8], Operations: ['66-58=8'] Exploring Operation: 80/8=10, Resulting Numbers: [81, 10] Generated Node #3: [81, 10] from Operation: 80/8=10 Current State: 91:[81, 10], Operations: ['66-58=8', '80/8=10'] Exploring Operation: 81+10=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 90, 88, 79, 67 ]
77
[ "88-79=9", "90/9=10", "67+10=77" ]
Current State: 77:[90, 88, 79, 67], Operations: [] Exploring Operation: 88-79=9, Resulting Numbers: [90, 67, 9] Generated Node #2: [90, 67, 9] from Operation: 88-79=9 Current State: 77:[90, 67, 9], Operations: ['88-79=9'] Exploring Operation: 90/9=10, Resulting Numbers: [67, 10] Generated Node #3: [67, 10] from Operation: 90/9=10 Current State: 77:[67, 10], Operations: ['88-79=9', '90/9=10'] Exploring Operation: 67+10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 5, 99, 22, 41 ]
52
[ "5*22=110", "99-41=58", "110-58=52" ]
Current State: 52:[5, 99, 22, 41], Operations: [] Exploring Operation: 5*22=110, Resulting Numbers: [99, 41, 110] Generated Node #2: [99, 41, 110] from Operation: 5*22=110 Current State: 52:[99, 41, 110], Operations: ['5*22=110'] Exploring Operation: 99-41=58, Resulting Numbers: [110, 58] Generated Node #3: [110, 58] from Operation: 99-41=58 Current State: 52:[110, 58], Operations: ['5*22=110', '99-41=58'] Exploring Operation: 110-58=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4