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
[ 77, 9, 35, 65 ]
14
[ "77+9=86", "35+65=100", "100-86=14" ]
Current State: 14:[77, 9, 35, 65], Operations: [] Exploring Operation: 77+9=86, Resulting Numbers: [35, 65, 86] Generated Node #2: [35, 65, 86] from Operation: 77+9=86 Current State: 14:[35, 65, 86], Operations: ['77+9=86'] Exploring Operation: 35+65=100, Resulting Numbers: [86, 100] Generated Node #3: [86, 100] from Operation: 35+65=100 Current State: 14:[86, 100], Operations: ['77+9=86', '35+65=100'] Exploring Operation: 100-86=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 18, 31, 40, 68 ]
34
[ "40-31=9", "18/9=2", "68/2=34" ]
Current State: 34:[18, 31, 40, 68], Operations: [] Exploring Operation: 40-31=9, Resulting Numbers: [18, 68, 9] Generated Node #2: [18, 68, 9] from Operation: 40-31=9 Current State: 34:[18, 68, 9], Operations: ['40-31=9'] Exploring Operation: 18/9=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 18/9=2 Current State: 34:[68, 2], Operations: ['40-31=9', '18/9=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 97, 54, 25, 48 ]
81
[ "97-25=72", "54*72=3888", "3888/48=81" ]
Current State: 81:[97, 54, 25, 48], Operations: [] Exploring Operation: 97-25=72, Resulting Numbers: [54, 48, 72] Generated Node #2: [54, 48, 72] from Operation: 97-25=72 Current State: 81:[54, 48, 72], Operations: ['97-25=72'] Exploring Operation: 54*72=3888, Resulting Numbers: [48, 3888] Generated Node #3: [48, 3888] from Operation: 54*72=3888 Current State: 81:[48, 3888], Operations: ['97-25=72', '54*72=3888'] Exploring Operation: 3888/48=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 41, 25, 8, 35 ]
82
[ "25+8=33", "35-33=2", "41*2=82" ]
Current State: 82:[41, 25, 8, 35], Operations: [] Exploring Operation: 25+8=33, Resulting Numbers: [41, 35, 33] Generated Node #2: [41, 35, 33] from Operation: 25+8=33 Current State: 82:[41, 35, 33], Operations: ['25+8=33'] Exploring Operation: 35-33=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 35-33=2 Current State: 82:[41, 2], Operations: ['25+8=33', '35-33=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 90, 81, 94, 1 ]
85
[ "90-81=9", "94*1=94", "94-9=85" ]
Current State: 85:[90, 81, 94, 1], Operations: [] Exploring Operation: 90-81=9, Resulting Numbers: [94, 1, 9] Generated Node #2: [94, 1, 9] from Operation: 90-81=9 Current State: 85:[94, 1, 9], Operations: ['90-81=9'] Exploring Operation: 94*1=94, Resulting Numbers: [9, 94] Generated Node #3: [9, 94] from Operation: 94*1=94 Current State: 85:[9, 94], Operations: ['90-81=9', '94*1=94'] Exploring Operation: 94-9=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 66, 31, 98, 20 ]
86
[ "66*31=2046", "98*20=1960", "2046-1960=86" ]
Current State: 86:[66, 31, 98, 20], Operations: [] Exploring Operation: 66*31=2046, Resulting Numbers: [98, 20, 2046] Generated Node #2: [98, 20, 2046] from Operation: 66*31=2046 Current State: 86:[98, 20, 2046], Operations: ['66*31=2046'] Exploring Operation: 98*20=1960, Resulting Numbers: [2046, 1960] Generated Node #3: [2046, 1960] from Operation: 98*20=1960 Current State: 86:[2046, 1960], Operations: ['66*31=2046', '98*20=1960'] Exploring Operation: 2046-1960=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 51, 2, 13, 10 ]
97
[ "13+10=23", "2*23=46", "51+46=97" ]
Current State: 97:[51, 2, 13, 10], Operations: [] Exploring Operation: 13+10=23, Resulting Numbers: [51, 2, 23] Generated Node #2: [51, 2, 23] from Operation: 13+10=23 Current State: 97:[51, 2, 23], Operations: ['13+10=23'] Exploring Operation: 2*23=46, Resulting Numbers: [51, 46] Generated Node #3: [51, 46] from Operation: 2*23=46 Current State: 97:[51, 46], Operations: ['13+10=23', '2*23=46'] Exploring Operation: 51+46=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 37, 67, 42, 47 ]
69
[ "37+47=84", "84/42=2", "67+2=69" ]
Current State: 69:[37, 67, 42, 47], Operations: [] Exploring Operation: 37+47=84, Resulting Numbers: [67, 42, 84] Generated Node #2: [67, 42, 84] from Operation: 37+47=84 Current State: 69:[67, 42, 84], Operations: ['37+47=84'] Exploring Operation: 84/42=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 84/42=2 Current State: 69:[67, 2], Operations: ['37+47=84', '84/42=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 5, 2, 49, 64 ]
10
[ "49-5=44", "64-44=20", "20/2=10" ]
Current State: 10:[5, 2, 49, 64], Operations: [] Exploring Operation: 49-5=44, Resulting Numbers: [2, 64, 44] Generated Node #2: [2, 64, 44] from Operation: 49-5=44 Current State: 10:[2, 64, 44], Operations: ['49-5=44'] Exploring Operation: 64-44=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 64-44=20 Current State: 10:[2, 20], Operations: ['49-5=44', '64-44=20'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 20, 2, 79, 78 ]
23
[ "20+2=22", "79-78=1", "22+1=23" ]
Current State: 23:[20, 2, 79, 78], Operations: [] Exploring Operation: 20+2=22, Resulting Numbers: [79, 78, 22] Generated Node #2: [79, 78, 22] from Operation: 20+2=22 Current State: 23:[79, 78, 22], Operations: ['20+2=22'] Exploring Operation: 79-78=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 79-78=1 Current State: 23:[22, 1], Operations: ['20+2=22', '79-78=1'] Exploring Operation: 22+1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 66, 10, 99, 77 ]
92
[ "10*99=990", "990/66=15", "77+15=92" ]
Current State: 92:[66, 10, 99, 77], Operations: [] Exploring Operation: 10*99=990, Resulting Numbers: [66, 77, 990] Generated Node #2: [66, 77, 990] from Operation: 10*99=990 Current State: 92:[66, 77, 990], Operations: ['10*99=990'] Exploring Operation: 990/66=15, Resulting Numbers: [77, 15] Generated Node #3: [77, 15] from Operation: 990/66=15 Current State: 92:[77, 15], Operations: ['10*99=990', '990/66=15'] Exploring Operation: 77+15=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 78, 94, 80, 69 ]
27
[ "94-78=16", "80-69=11", "16+11=27" ]
Current State: 27:[78, 94, 80, 69], Operations: [] Exploring Operation: 94-78=16, Resulting Numbers: [80, 69, 16] Generated Node #2: [80, 69, 16] from Operation: 94-78=16 Current State: 27:[80, 69, 16], Operations: ['94-78=16'] Exploring Operation: 80-69=11, Resulting Numbers: [16, 11] Generated Node #3: [16, 11] from Operation: 80-69=11 Current State: 27:[16, 11], Operations: ['94-78=16', '80-69=11'] Exploring Operation: 16+11=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 54, 58, 7, 21 ]
77
[ "58-54=4", "21*4=84", "84-7=77" ]
Current State: 77:[54, 58, 7, 21], Operations: [] Exploring Operation: 58-54=4, Resulting Numbers: [7, 21, 4] Generated Node #2: [7, 21, 4] from Operation: 58-54=4 Current State: 77:[7, 21, 4], Operations: ['58-54=4'] Exploring Operation: 21*4=84, Resulting Numbers: [7, 84] Generated Node #3: [7, 84] from Operation: 21*4=84 Current State: 77:[7, 84], Operations: ['58-54=4', '21*4=84'] Exploring Operation: 84-7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 66, 8, 44, 25 ]
93
[ "66+8=74", "44-25=19", "74+19=93" ]
Current State: 93:[66, 8, 44, 25], Operations: [] Exploring Operation: 66+8=74, Resulting Numbers: [44, 25, 74] Generated Node #2: [44, 25, 74] from Operation: 66+8=74 Current State: 93:[44, 25, 74], Operations: ['66+8=74'] Exploring Operation: 44-25=19, Resulting Numbers: [74, 19] Generated Node #3: [74, 19] from Operation: 44-25=19 Current State: 93:[74, 19], Operations: ['66+8=74', '44-25=19'] Exploring Operation: 74+19=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 88, 3, 4, 80 ]
12
[ "88-4=84", "84-80=4", "3*4=12" ]
Current State: 12:[88, 3, 4, 80], Operations: [] Exploring Operation: 88-4=84, Resulting Numbers: [3, 80, 84] Generated Node #2: [3, 80, 84] from Operation: 88-4=84 Current State: 12:[3, 80, 84], Operations: ['88-4=84'] Exploring Operation: 84-80=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 84-80=4 Current State: 12:[3, 4], Operations: ['88-4=84', '84-80=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 22, 3, 44, 43 ]
42
[ "44/22=2", "43-3=40", "2+40=42" ]
Current State: 42:[22, 3, 44, 43], Operations: [] Exploring Operation: 44/22=2, Resulting Numbers: [3, 43, 2] Generated Node #2: [3, 43, 2] from Operation: 44/22=2 Current State: 42:[3, 43, 2], Operations: ['44/22=2'] Exploring Operation: 43-3=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 43-3=40 Current State: 42:[2, 40], Operations: ['44/22=2', '43-3=40'] Exploring Operation: 2+40=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 56, 41, 14, 99 ]
28
[ "56+41=97", "99-97=2", "14*2=28" ]
Current State: 28:[56, 41, 14, 99], Operations: [] Exploring Operation: 56+41=97, Resulting Numbers: [14, 99, 97] Generated Node #2: [14, 99, 97] from Operation: 56+41=97 Current State: 28:[14, 99, 97], Operations: ['56+41=97'] Exploring Operation: 99-97=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 99-97=2 Current State: 28:[14, 2], Operations: ['56+41=97', '99-97=2'] Exploring Operation: 14*2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 40, 32, 7, 18 ]
80
[ "32-18=14", "40*14=560", "560/7=80" ]
Current State: 80:[40, 32, 7, 18], Operations: [] Exploring Operation: 32-18=14, Resulting Numbers: [40, 7, 14] Generated Node #2: [40, 7, 14] from Operation: 32-18=14 Current State: 80:[40, 7, 14], Operations: ['32-18=14'] Exploring Operation: 40*14=560, Resulting Numbers: [7, 560] Generated Node #3: [7, 560] from Operation: 40*14=560 Current State: 80:[7, 560], Operations: ['32-18=14', '40*14=560'] Exploring Operation: 560/7=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 32, 89, 82, 95 ]
19
[ "32+82=114", "95-89=6", "114/6=19" ]
Current State: 19:[32, 89, 82, 95], Operations: [] Exploring Operation: 32+82=114, Resulting Numbers: [89, 95, 114] Generated Node #2: [89, 95, 114] from Operation: 32+82=114 Current State: 19:[89, 95, 114], Operations: ['32+82=114'] Exploring Operation: 95-89=6, Resulting Numbers: [114, 6] Generated Node #3: [114, 6] from Operation: 95-89=6 Current State: 19:[114, 6], Operations: ['32+82=114', '95-89=6'] Exploring Operation: 114/6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 95, 41, 35, 92 ]
73
[ "95-41=54", "35+92=127", "127-54=73" ]
Current State: 73:[95, 41, 35, 92], Operations: [] Exploring Operation: 95-41=54, Resulting Numbers: [35, 92, 54] Generated Node #2: [35, 92, 54] from Operation: 95-41=54 Current State: 73:[35, 92, 54], Operations: ['95-41=54'] Exploring Operation: 35+92=127, Resulting Numbers: [54, 127] Generated Node #3: [54, 127] from Operation: 35+92=127 Current State: 73:[54, 127], Operations: ['95-41=54', '35+92=127'] Exploring Operation: 127-54=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 44, 44, 55, 69 ]
65
[ "55-44=11", "44/11=4", "69-4=65" ]
Current State: 65:[44, 44, 55, 69], Operations: [] Exploring Operation: 55-44=11, Resulting Numbers: [69, 11] Generated Node #2: [69, 11] from Operation: 55-44=11 Current State: 65:[69, 11], Operations: ['55-44=11'] Exploring Operation: 44/11=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 44/11=4 Current State: 65:[69, 4], Operations: ['55-44=11', '44/11=4'] Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 2, 19, 74, 38 ]
73
[ "2*19=38", "38/38=1", "74-1=73" ]
Current State: 73:[2, 19, 74, 38], Operations: [] Exploring Operation: 2*19=38, Resulting Numbers: [74, 38, 38] Generated Node #2: [74, 38, 38] from Operation: 2*19=38 Current State: 73:[74, 38, 38], Operations: ['2*19=38'] Exploring Operation: 38/38=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 38/38=1 Current State: 73:[74, 1], Operations: ['2*19=38', '38/38=1'] Exploring Operation: 74-1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 68, 34, 68, 90 ]
24
[ "68/34=2", "90-68=22", "2+22=24" ]
Current State: 24:[68, 34, 68, 90], Operations: [] Exploring Operation: 68/34=2, Resulting Numbers: [90, 2] Generated Node #2: [90, 2] from Operation: 68/34=2 Current State: 24:[90, 2], Operations: ['68/34=2'] Exploring Operation: 90-68=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 90-68=22 Current State: 24:[2, 22], Operations: ['68/34=2', '90-68=22'] Exploring Operation: 2+22=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 16, 61, 8, 63 ]
65
[ "16/8=2", "63*2=126", "126-61=65" ]
Current State: 65:[16, 61, 8, 63], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [61, 63, 2] Generated Node #2: [61, 63, 2] from Operation: 16/8=2 Current State: 65:[61, 63, 2], Operations: ['16/8=2'] Exploring Operation: 63*2=126, Resulting Numbers: [61, 126] Generated Node #3: [61, 126] from Operation: 63*2=126 Current State: 65:[61, 126], Operations: ['16/8=2', '63*2=126'] Exploring Operation: 126-61=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 61, 50, 22, 79 ]
10
[ "61+50=111", "22+79=101", "111-101=10" ]
Current State: 10:[61, 50, 22, 79], Operations: [] Exploring Operation: 61+50=111, Resulting Numbers: [22, 79, 111] Generated Node #2: [22, 79, 111] from Operation: 61+50=111 Current State: 10:[22, 79, 111], Operations: ['61+50=111'] Exploring Operation: 22+79=101, Resulting Numbers: [111, 101] Generated Node #3: [111, 101] from Operation: 22+79=101 Current State: 10:[111, 101], Operations: ['61+50=111', '22+79=101'] Exploring Operation: 111-101=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 72, 94, 47, 94 ]
26
[ "72-47=25", "94/94=1", "25+1=26" ]
Current State: 26:[72, 94, 47, 94], Operations: [] Exploring Operation: 72-47=25, Resulting Numbers: [94, 94, 25] Generated Node #2: [94, 94, 25] from Operation: 72-47=25 Current State: 26:[94, 94, 25], Operations: ['72-47=25'] Exploring Operation: 94/94=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 94/94=1 Current State: 26:[25, 1], Operations: ['72-47=25', '94/94=1'] Exploring Operation: 25+1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 90, 11, 6, 44 ]
41
[ "90-11=79", "44-6=38", "79-38=41" ]
Current State: 41:[90, 11, 6, 44], Operations: [] Exploring Operation: 90-11=79, Resulting Numbers: [6, 44, 79] Generated Node #2: [6, 44, 79] from Operation: 90-11=79 Current State: 41:[6, 44, 79], Operations: ['90-11=79'] Exploring Operation: 44-6=38, Resulting Numbers: [79, 38] Generated Node #3: [79, 38] from Operation: 44-6=38 Current State: 41:[79, 38], Operations: ['90-11=79', '44-6=38'] Exploring Operation: 79-38=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 82, 65, 9, 22 ]
87
[ "22-9=13", "65/13=5", "82+5=87" ]
Current State: 87:[82, 65, 9, 22], Operations: [] Exploring Operation: 22-9=13, Resulting Numbers: [82, 65, 13] Generated Node #2: [82, 65, 13] from Operation: 22-9=13 Current State: 87:[82, 65, 13], Operations: ['22-9=13'] Exploring Operation: 65/13=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 65/13=5 Current State: 87:[82, 5], Operations: ['22-9=13', '65/13=5'] Exploring Operation: 82+5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 57, 90, 27, 91 ]
85
[ "90-57=33", "27+91=118", "118-33=85" ]
Current State: 85:[57, 90, 27, 91], Operations: [] Exploring Operation: 90-57=33, Resulting Numbers: [27, 91, 33] Generated Node #2: [27, 91, 33] from Operation: 90-57=33 Current State: 85:[27, 91, 33], Operations: ['90-57=33'] Exploring Operation: 27+91=118, Resulting Numbers: [33, 118] Generated Node #3: [33, 118] from Operation: 27+91=118 Current State: 85:[33, 118], Operations: ['90-57=33', '27+91=118'] Exploring Operation: 118-33=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 4, 67, 70, 15 ]
63
[ "4*15=60", "70-67=3", "60+3=63" ]
Current State: 63:[4, 67, 70, 15], Operations: [] Exploring Operation: 4*15=60, Resulting Numbers: [67, 70, 60] Generated Node #2: [67, 70, 60] from Operation: 4*15=60 Current State: 63:[67, 70, 60], Operations: ['4*15=60'] Exploring Operation: 70-67=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 70-67=3 Current State: 63:[60, 3], Operations: ['4*15=60', '70-67=3'] Exploring Operation: 60+3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 44, 51, 54, 2 ]
13
[ "44+51=95", "54*2=108", "108-95=13" ]
Current State: 13:[44, 51, 54, 2], Operations: [] Exploring Operation: 44+51=95, Resulting Numbers: [54, 2, 95] Generated Node #2: [54, 2, 95] from Operation: 44+51=95 Current State: 13:[54, 2, 95], Operations: ['44+51=95'] Exploring Operation: 54*2=108, Resulting Numbers: [95, 108] Generated Node #3: [95, 108] from Operation: 54*2=108 Current State: 13:[95, 108], Operations: ['44+51=95', '54*2=108'] Exploring Operation: 108-95=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 77, 49, 55, 63 ]
44
[ "77*63=4851", "4851/49=99", "99-55=44" ]
Current State: 44:[77, 49, 55, 63], Operations: [] Exploring Operation: 77*63=4851, Resulting Numbers: [49, 55, 4851] Generated Node #2: [49, 55, 4851] from Operation: 77*63=4851 Current State: 44:[49, 55, 4851], Operations: ['77*63=4851'] Exploring Operation: 4851/49=99, Resulting Numbers: [55, 99] Generated Node #3: [55, 99] from Operation: 4851/49=99 Current State: 44:[55, 99], Operations: ['77*63=4851', '4851/49=99'] Exploring Operation: 99-55=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 10, 87, 14, 17 ]
50
[ "87-17=70", "10*70=700", "700/14=50" ]
Current State: 50:[10, 87, 14, 17], Operations: [] Exploring Operation: 87-17=70, Resulting Numbers: [10, 14, 70] Generated Node #2: [10, 14, 70] from Operation: 87-17=70 Current State: 50:[10, 14, 70], Operations: ['87-17=70'] Exploring Operation: 10*70=700, Resulting Numbers: [14, 700] Generated Node #3: [14, 700] from Operation: 10*70=700 Current State: 50:[14, 700], Operations: ['87-17=70', '10*70=700'] Exploring Operation: 700/14=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 66, 90, 86, 20 ]
61
[ "90-86=4", "20/4=5", "66-5=61" ]
Current State: 61:[66, 90, 86, 20], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [66, 20, 4] Generated Node #2: [66, 20, 4] from Operation: 90-86=4 Current State: 61:[66, 20, 4], Operations: ['90-86=4'] Exploring Operation: 20/4=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 20/4=5 Current State: 61:[66, 5], Operations: ['90-86=4', '20/4=5'] Exploring Operation: 66-5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 31, 39, 56 ]
79
[ "2*31=62", "56-39=17", "62+17=79" ]
Current State: 79:[2, 31, 39, 56], Operations: [] Exploring Operation: 2*31=62, Resulting Numbers: [39, 56, 62] Generated Node #2: [39, 56, 62] from Operation: 2*31=62 Current State: 79:[39, 56, 62], Operations: ['2*31=62'] Exploring Operation: 56-39=17, Resulting Numbers: [62, 17] Generated Node #3: [62, 17] from Operation: 56-39=17 Current State: 79:[62, 17], Operations: ['2*31=62', '56-39=17'] Exploring Operation: 62+17=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 67, 2, 14, 38 ]
79
[ "38-14=24", "24/2=12", "67+12=79" ]
Current State: 79:[67, 2, 14, 38], Operations: [] Exploring Operation: 38-14=24, Resulting Numbers: [67, 2, 24] Generated Node #2: [67, 2, 24] from Operation: 38-14=24 Current State: 79:[67, 2, 24], Operations: ['38-14=24'] Exploring Operation: 24/2=12, Resulting Numbers: [67, 12] Generated Node #3: [67, 12] from Operation: 24/2=12 Current State: 79:[67, 12], Operations: ['38-14=24', '24/2=12'] Exploring Operation: 67+12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 23, 58, 39, 93 ]
78
[ "23+93=116", "116/58=2", "39*2=78" ]
Current State: 78:[23, 58, 39, 93], Operations: [] Exploring Operation: 23+93=116, Resulting Numbers: [58, 39, 116] Generated Node #2: [58, 39, 116] from Operation: 23+93=116 Current State: 78:[58, 39, 116], Operations: ['23+93=116'] Exploring Operation: 116/58=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 116/58=2 Current State: 78:[39, 2], Operations: ['23+93=116', '116/58=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 62, 2, 34, 9 ]
88
[ "62+9=71", "34/2=17", "71+17=88" ]
Current State: 88:[62, 2, 34, 9], Operations: [] Exploring Operation: 62+9=71, Resulting Numbers: [2, 34, 71] Generated Node #2: [2, 34, 71] from Operation: 62+9=71 Current State: 88:[2, 34, 71], Operations: ['62+9=71'] Exploring Operation: 34/2=17, Resulting Numbers: [71, 17] Generated Node #3: [71, 17] from Operation: 34/2=17 Current State: 88:[71, 17], Operations: ['62+9=71', '34/2=17'] Exploring Operation: 71+17=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 9, 13, 89, 21 ]
49
[ "9*13=117", "89-21=68", "117-68=49" ]
Current State: 49:[9, 13, 89, 21], Operations: [] Exploring Operation: 9*13=117, Resulting Numbers: [89, 21, 117] Generated Node #2: [89, 21, 117] from Operation: 9*13=117 Current State: 49:[89, 21, 117], Operations: ['9*13=117'] Exploring Operation: 89-21=68, Resulting Numbers: [117, 68] Generated Node #3: [117, 68] from Operation: 89-21=68 Current State: 49:[117, 68], Operations: ['9*13=117', '89-21=68'] Exploring Operation: 117-68=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 5, 30, 80, 46 ]
59
[ "30-5=25", "80-46=34", "25+34=59" ]
Current State: 59:[5, 30, 80, 46], Operations: [] Exploring Operation: 30-5=25, Resulting Numbers: [80, 46, 25] Generated Node #2: [80, 46, 25] from Operation: 30-5=25 Current State: 59:[80, 46, 25], Operations: ['30-5=25'] Exploring Operation: 80-46=34, Resulting Numbers: [25, 34] Generated Node #3: [25, 34] from Operation: 80-46=34 Current State: 59:[25, 34], Operations: ['30-5=25', '80-46=34'] Exploring Operation: 25+34=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 30, 11, 67, 44 ]
42
[ "30-11=19", "67-44=23", "19+23=42" ]
Current State: 42:[30, 11, 67, 44], Operations: [] Exploring Operation: 30-11=19, Resulting Numbers: [67, 44, 19] Generated Node #2: [67, 44, 19] from Operation: 30-11=19 Current State: 42:[67, 44, 19], Operations: ['30-11=19'] Exploring Operation: 67-44=23, Resulting Numbers: [19, 23] Generated Node #3: [19, 23] from Operation: 67-44=23 Current State: 42:[19, 23], Operations: ['30-11=19', '67-44=23'] Exploring Operation: 19+23=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 29, 6, 24, 64 ]
64
[ "29-6=23", "24-23=1", "64*1=64" ]
Current State: 64:[29, 6, 24, 64], Operations: [] Exploring Operation: 29-6=23, Resulting Numbers: [24, 64, 23] Generated Node #2: [24, 64, 23] from Operation: 29-6=23 Current State: 64:[24, 64, 23], Operations: ['29-6=23'] Exploring Operation: 24-23=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 24-23=1 Current State: 64:[64, 1], Operations: ['29-6=23', '24-23=1'] Exploring Operation: 64*1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 74, 15, 84, 4 ]
20
[ "74+15=89", "89-84=5", "4*5=20" ]
Current State: 20:[74, 15, 84, 4], Operations: [] Exploring Operation: 74+15=89, Resulting Numbers: [84, 4, 89] Generated Node #2: [84, 4, 89] from Operation: 74+15=89 Current State: 20:[84, 4, 89], Operations: ['74+15=89'] Exploring Operation: 89-84=5, Resulting Numbers: [4, 5] Generated Node #3: [4, 5] from Operation: 89-84=5 Current State: 20:[4, 5], Operations: ['74+15=89', '89-84=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 26, 3, 16, 77 ]
29
[ "26-16=10", "77+10=87", "87/3=29" ]
Current State: 29:[26, 3, 16, 77], Operations: [] Exploring Operation: 26-16=10, Resulting Numbers: [3, 77, 10] Generated Node #2: [3, 77, 10] from Operation: 26-16=10 Current State: 29:[3, 77, 10], Operations: ['26-16=10'] Exploring Operation: 77+10=87, Resulting Numbers: [3, 87] Generated Node #3: [3, 87] from Operation: 77+10=87 Current State: 29:[3, 87], Operations: ['26-16=10', '77+10=87'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 52, 5, 35, 12 ]
57
[ "52+12=64", "35/5=7", "64-7=57" ]
Current State: 57:[52, 5, 35, 12], Operations: [] Exploring Operation: 52+12=64, Resulting Numbers: [5, 35, 64] Generated Node #2: [5, 35, 64] from Operation: 52+12=64 Current State: 57:[5, 35, 64], Operations: ['52+12=64'] Exploring Operation: 35/5=7, Resulting Numbers: [64, 7] Generated Node #3: [64, 7] from Operation: 35/5=7 Current State: 57:[64, 7], Operations: ['52+12=64', '35/5=7'] Exploring Operation: 64-7=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 63, 6, 9, 7 ]
51
[ "9-7=2", "6*2=12", "63-12=51" ]
Current State: 51:[63, 6, 9, 7], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [63, 6, 2] Generated Node #2: [63, 6, 2] from Operation: 9-7=2 Current State: 51:[63, 6, 2], Operations: ['9-7=2'] Exploring Operation: 6*2=12, Resulting Numbers: [63, 12] Generated Node #3: [63, 12] from Operation: 6*2=12 Current State: 51:[63, 12], Operations: ['9-7=2', '6*2=12'] Exploring Operation: 63-12=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 58, 53, 57, 47 ]
99
[ "58-53=5", "57+47=104", "104-5=99" ]
Current State: 99:[58, 53, 57, 47], Operations: [] Exploring Operation: 58-53=5, Resulting Numbers: [57, 47, 5] Generated Node #2: [57, 47, 5] from Operation: 58-53=5 Current State: 99:[57, 47, 5], Operations: ['58-53=5'] Exploring Operation: 57+47=104, Resulting Numbers: [5, 104] Generated Node #3: [5, 104] from Operation: 57+47=104 Current State: 99:[5, 104], Operations: ['58-53=5', '57+47=104'] Exploring Operation: 104-5=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 32, 91, 71 ]
50
[ "32-2=30", "91-71=20", "30+20=50" ]
Current State: 50:[2, 32, 91, 71], Operations: [] Exploring Operation: 32-2=30, Resulting Numbers: [91, 71, 30] Generated Node #2: [91, 71, 30] from Operation: 32-2=30 Current State: 50:[91, 71, 30], Operations: ['32-2=30'] Exploring Operation: 91-71=20, Resulting Numbers: [30, 20] Generated Node #3: [30, 20] from Operation: 91-71=20 Current State: 50:[30, 20], Operations: ['32-2=30', '91-71=20'] Exploring Operation: 30+20=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 43, 13, 41, 16 ]
97
[ "43*13=559", "41*16=656", "656-559=97" ]
Current State: 97:[43, 13, 41, 16], Operations: [] Exploring Operation: 43*13=559, Resulting Numbers: [41, 16, 559] Generated Node #2: [41, 16, 559] from Operation: 43*13=559 Current State: 97:[41, 16, 559], Operations: ['43*13=559'] Exploring Operation: 41*16=656, Resulting Numbers: [559, 656] Generated Node #3: [559, 656] from Operation: 41*16=656 Current State: 97:[559, 656], Operations: ['43*13=559', '41*16=656'] Exploring Operation: 656-559=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 1, 50, 41, 69 ]
78
[ "1*50=50", "69-41=28", "50+28=78" ]
Current State: 78:[1, 50, 41, 69], Operations: [] Exploring Operation: 1*50=50, Resulting Numbers: [41, 69, 50] Generated Node #2: [41, 69, 50] from Operation: 1*50=50 Current State: 78:[41, 69, 50], Operations: ['1*50=50'] Exploring Operation: 69-41=28, Resulting Numbers: [50, 28] Generated Node #3: [50, 28] from Operation: 69-41=28 Current State: 78:[50, 28], Operations: ['1*50=50', '69-41=28'] Exploring Operation: 50+28=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 14, 5, 55, 1 ]
29
[ "5+1=6", "14*6=84", "84-55=29" ]
Current State: 29:[14, 5, 55, 1], Operations: [] Exploring Operation: 5+1=6, Resulting Numbers: [14, 55, 6] Generated Node #2: [14, 55, 6] from Operation: 5+1=6 Current State: 29:[14, 55, 6], Operations: ['5+1=6'] Exploring Operation: 14*6=84, Resulting Numbers: [55, 84] Generated Node #3: [55, 84] from Operation: 14*6=84 Current State: 29:[55, 84], Operations: ['5+1=6', '14*6=84'] Exploring Operation: 84-55=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 76, 73, 10, 43 ]
11
[ "76-73=3", "43-10=33", "33/3=11" ]
Current State: 11:[76, 73, 10, 43], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [10, 43, 3] Generated Node #2: [10, 43, 3] from Operation: 76-73=3 Current State: 11:[10, 43, 3], Operations: ['76-73=3'] Exploring Operation: 43-10=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 43-10=33 Current State: 11:[3, 33], Operations: ['76-73=3', '43-10=33'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 44, 29, 60, 38 ]
32
[ "44*29=1276", "1276-60=1216", "1216/38=32" ]
Current State: 32:[44, 29, 60, 38], Operations: [] Exploring Operation: 44*29=1276, Resulting Numbers: [60, 38, 1276] Generated Node #2: [60, 38, 1276] from Operation: 44*29=1276 Current State: 32:[60, 38, 1276], Operations: ['44*29=1276'] Exploring Operation: 1276-60=1216, Resulting Numbers: [38, 1216] Generated Node #3: [38, 1216] from Operation: 1276-60=1216 Current State: 32:[38, 1216], Operations: ['44*29=1276', '1276-60=1216'] Exploring Operation: 1216/38=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 3, 68, 2, 5 ]
32
[ "5-3=2", "68/2=34", "34-2=32" ]
Current State: 32:[3, 68, 2, 5], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [68, 2, 2] Generated Node #2: [68, 2, 2] from Operation: 5-3=2 Current State: 32:[68, 2, 2], Operations: ['5-3=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,32 equal: Goal Reached Exploring Operation: 34-2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 18, 28, 42, 44 ]
39
[ "44-18=26", "42*26=1092", "1092/28=39" ]
Current State: 39:[18, 28, 42, 44], Operations: [] Exploring Operation: 44-18=26, Resulting Numbers: [28, 42, 26] Generated Node #2: [28, 42, 26] from Operation: 44-18=26 Current State: 39:[28, 42, 26], Operations: ['44-18=26'] Exploring Operation: 42*26=1092, Resulting Numbers: [28, 1092] Generated Node #3: [28, 1092] from Operation: 42*26=1092 Current State: 39:[28, 1092], Operations: ['44-18=26', '42*26=1092'] Exploring Operation: 1092/28=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 78, 98, 47, 37 ]
64
[ "98-78=20", "47+37=84", "84-20=64" ]
Current State: 64:[78, 98, 47, 37], Operations: [] Exploring Operation: 98-78=20, Resulting Numbers: [47, 37, 20] Generated Node #2: [47, 37, 20] from Operation: 98-78=20 Current State: 64:[47, 37, 20], Operations: ['98-78=20'] Exploring Operation: 47+37=84, Resulting Numbers: [20, 84] Generated Node #3: [20, 84] from Operation: 47+37=84 Current State: 64:[20, 84], Operations: ['98-78=20', '47+37=84'] Exploring Operation: 84-20=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 45, 7, 69, 39 ]
68
[ "45-7=38", "69-39=30", "38+30=68" ]
Current State: 68:[45, 7, 69, 39], Operations: [] Exploring Operation: 45-7=38, Resulting Numbers: [69, 39, 38] Generated Node #2: [69, 39, 38] from Operation: 45-7=38 Current State: 68:[69, 39, 38], Operations: ['45-7=38'] Exploring Operation: 69-39=30, Resulting Numbers: [38, 30] Generated Node #3: [38, 30] from Operation: 69-39=30 Current State: 68:[38, 30], Operations: ['45-7=38', '69-39=30'] Exploring Operation: 38+30=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 33, 44, 72, 15 ]
46
[ "44-33=11", "72-15=57", "57-11=46" ]
Current State: 46:[33, 44, 72, 15], Operations: [] Exploring Operation: 44-33=11, Resulting Numbers: [72, 15, 11] Generated Node #2: [72, 15, 11] from Operation: 44-33=11 Current State: 46:[72, 15, 11], Operations: ['44-33=11'] Exploring Operation: 72-15=57, Resulting Numbers: [11, 57] Generated Node #3: [11, 57] from Operation: 72-15=57 Current State: 46:[11, 57], Operations: ['44-33=11', '72-15=57'] Exploring Operation: 57-11=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 34, 6, 43, 91 ]
76
[ "34-6=28", "91-43=48", "28+48=76" ]
Current State: 76:[34, 6, 43, 91], Operations: [] Exploring Operation: 34-6=28, Resulting Numbers: [43, 91, 28] Generated Node #2: [43, 91, 28] from Operation: 34-6=28 Current State: 76:[43, 91, 28], Operations: ['34-6=28'] Exploring Operation: 91-43=48, Resulting Numbers: [28, 48] Generated Node #3: [28, 48] from Operation: 91-43=48 Current State: 76:[28, 48], Operations: ['34-6=28', '91-43=48'] Exploring Operation: 28+48=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 29, 13, 58, 31 ]
16
[ "58/29=2", "31-13=18", "18-2=16" ]
Current State: 16:[29, 13, 58, 31], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [13, 31, 2] Generated Node #2: [13, 31, 2] from Operation: 58/29=2 Current State: 16:[13, 31, 2], Operations: ['58/29=2'] Exploring Operation: 31-13=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 31-13=18 Current State: 16:[2, 18], Operations: ['58/29=2', '31-13=18'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 43, 27, 57, 5 ]
46
[ "43-27=16", "57+5=62", "62-16=46" ]
Current State: 46:[43, 27, 57, 5], Operations: [] Exploring Operation: 43-27=16, Resulting Numbers: [57, 5, 16] Generated Node #2: [57, 5, 16] from Operation: 43-27=16 Current State: 46:[57, 5, 16], Operations: ['43-27=16'] Exploring Operation: 57+5=62, Resulting Numbers: [16, 62] Generated Node #3: [16, 62] from Operation: 57+5=62 Current State: 46:[16, 62], Operations: ['43-27=16', '57+5=62'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 42, 34, 63, 41 ]
69
[ "41-34=7", "42/7=6", "63+6=69" ]
Current State: 69:[42, 34, 63, 41], Operations: [] Exploring Operation: 41-34=7, Resulting Numbers: [42, 63, 7] Generated Node #2: [42, 63, 7] from Operation: 41-34=7 Current State: 69:[42, 63, 7], Operations: ['41-34=7'] Exploring Operation: 42/7=6, Resulting Numbers: [63, 6] Generated Node #3: [63, 6] from Operation: 42/7=6 Current State: 69:[63, 6], Operations: ['41-34=7', '42/7=6'] Exploring Operation: 63+6=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 34, 11, 39, 8 ]
48
[ "34+11=45", "45-39=6", "8*6=48" ]
Current State: 48:[34, 11, 39, 8], Operations: [] Exploring Operation: 34+11=45, Resulting Numbers: [39, 8, 45] Generated Node #2: [39, 8, 45] from Operation: 34+11=45 Current State: 48:[39, 8, 45], Operations: ['34+11=45'] Exploring Operation: 45-39=6, Resulting Numbers: [8, 6] Generated Node #3: [8, 6] from Operation: 45-39=6 Current State: 48:[8, 6], Operations: ['34+11=45', '45-39=6'] Exploring Operation: 8*6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 9, 66, 91, 3 ]
80
[ "66-9=57", "3*57=171", "171-91=80" ]
Current State: 80:[9, 66, 91, 3], Operations: [] Exploring Operation: 66-9=57, Resulting Numbers: [91, 3, 57] Generated Node #2: [91, 3, 57] from Operation: 66-9=57 Current State: 80:[91, 3, 57], Operations: ['66-9=57'] Exploring Operation: 3*57=171, Resulting Numbers: [91, 171] Generated Node #3: [91, 171] from Operation: 3*57=171 Current State: 80:[91, 171], Operations: ['66-9=57', '3*57=171'] Exploring Operation: 171-91=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 72, 6, 13, 19 ]
71
[ "6+13=19", "19/19=1", "72-1=71" ]
Current State: 71:[72, 6, 13, 19], Operations: [] Exploring Operation: 6+13=19, Resulting Numbers: [72, 19, 19] Generated Node #2: [72, 19, 19] from Operation: 6+13=19 Current State: 71:[72, 19, 19], Operations: ['6+13=19'] Exploring Operation: 19/19=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 19/19=1 Current State: 71:[72, 1], Operations: ['6+13=19', '19/19=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 81, 5, 46, 8 ]
48
[ "81+5=86", "46-8=38", "86-38=48" ]
Current State: 48:[81, 5, 46, 8], Operations: [] Exploring Operation: 81+5=86, Resulting Numbers: [46, 8, 86] Generated Node #2: [46, 8, 86] from Operation: 81+5=86 Current State: 48:[46, 8, 86], Operations: ['81+5=86'] Exploring Operation: 46-8=38, Resulting Numbers: [86, 38] Generated Node #3: [86, 38] from Operation: 46-8=38 Current State: 48:[86, 38], Operations: ['81+5=86', '46-8=38'] Exploring Operation: 86-38=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 80, 83, 3, 74 ]
86
[ "80+83=163", "3+74=77", "163-77=86" ]
Current State: 86:[80, 83, 3, 74], Operations: [] Exploring Operation: 80+83=163, Resulting Numbers: [3, 74, 163] Generated Node #2: [3, 74, 163] from Operation: 80+83=163 Current State: 86:[3, 74, 163], Operations: ['80+83=163'] Exploring Operation: 3+74=77, Resulting Numbers: [163, 77] Generated Node #3: [163, 77] from Operation: 3+74=77 Current State: 86:[163, 77], Operations: ['80+83=163', '3+74=77'] Exploring Operation: 163-77=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 24, 82, 85, 11 ]
97
[ "24*11=264", "82+85=167", "264-167=97" ]
Current State: 97:[24, 82, 85, 11], Operations: [] Exploring Operation: 24*11=264, Resulting Numbers: [82, 85, 264] Generated Node #2: [82, 85, 264] from Operation: 24*11=264 Current State: 97:[82, 85, 264], Operations: ['24*11=264'] Exploring Operation: 82+85=167, Resulting Numbers: [264, 167] Generated Node #3: [264, 167] from Operation: 82+85=167 Current State: 97:[264, 167], Operations: ['24*11=264', '82+85=167'] Exploring Operation: 264-167=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 78, 75, 75, 26 ]
98
[ "78-75=3", "75+26=101", "101-3=98" ]
Current State: 98:[78, 75, 75, 26], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [26, 3] Generated Node #2: [26, 3] from Operation: 78-75=3 Current State: 98:[26, 3], Operations: ['78-75=3'] Exploring Operation: 75+26=101, Resulting Numbers: [3, 101] Generated Node #3: [3, 101] from Operation: 75+26=101 Current State: 98:[3, 101], Operations: ['78-75=3', '75+26=101'] Exploring Operation: 101-3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 3, 81, 12, 45 ]
22
[ "81-12=69", "69/3=23", "45-23=22" ]
Current State: 22:[3, 81, 12, 45], Operations: [] Exploring Operation: 81-12=69, Resulting Numbers: [3, 45, 69] Generated Node #2: [3, 45, 69] from Operation: 81-12=69 Current State: 22:[3, 45, 69], Operations: ['81-12=69'] Exploring Operation: 69/3=23, Resulting Numbers: [45, 23] Generated Node #3: [45, 23] from Operation: 69/3=23 Current State: 22:[45, 23], Operations: ['81-12=69', '69/3=23'] Exploring Operation: 45-23=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 18, 2, 43, 24 ]
47
[ "18+2=20", "43+24=67", "67-20=47" ]
Current State: 47:[18, 2, 43, 24], Operations: [] Exploring Operation: 18+2=20, Resulting Numbers: [43, 24, 20] Generated Node #2: [43, 24, 20] from Operation: 18+2=20 Current State: 47:[43, 24, 20], Operations: ['18+2=20'] Exploring Operation: 43+24=67, Resulting Numbers: [20, 67] Generated Node #3: [20, 67] from Operation: 43+24=67 Current State: 47:[20, 67], Operations: ['18+2=20', '43+24=67'] Exploring Operation: 67-20=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 80, 92, 84, 40 ]
82
[ "84-80=4", "40/4=10", "92-10=82" ]
Current State: 82:[80, 92, 84, 40], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [92, 40, 4] Generated Node #2: [92, 40, 4] from Operation: 84-80=4 Current State: 82:[92, 40, 4], Operations: ['84-80=4'] Exploring Operation: 40/4=10, Resulting Numbers: [92, 10] Generated Node #3: [92, 10] from Operation: 40/4=10 Current State: 82:[92, 10], Operations: ['84-80=4', '40/4=10'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 59, 67, 43, 6 ]
50
[ "59+43=102", "102/6=17", "67-17=50" ]
Current State: 50:[59, 67, 43, 6], Operations: [] Exploring Operation: 59+43=102, Resulting Numbers: [67, 6, 102] Generated Node #2: [67, 6, 102] from Operation: 59+43=102 Current State: 50:[67, 6, 102], Operations: ['59+43=102'] Exploring Operation: 102/6=17, Resulting Numbers: [67, 17] Generated Node #3: [67, 17] from Operation: 102/6=17 Current State: 50:[67, 17], Operations: ['59+43=102', '102/6=17'] Exploring Operation: 67-17=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 1, 91, 7, 60 ]
39
[ "1+91=92", "60-7=53", "92-53=39" ]
Current State: 39:[1, 91, 7, 60], Operations: [] Exploring Operation: 1+91=92, Resulting Numbers: [7, 60, 92] Generated Node #2: [7, 60, 92] from Operation: 1+91=92 Current State: 39:[7, 60, 92], Operations: ['1+91=92'] Exploring Operation: 60-7=53, Resulting Numbers: [92, 53] Generated Node #3: [92, 53] from Operation: 60-7=53 Current State: 39:[92, 53], Operations: ['1+91=92', '60-7=53'] Exploring Operation: 92-53=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 57, 36, 87, 35 ]
41
[ "57+36=93", "87-35=52", "93-52=41" ]
Current State: 41:[57, 36, 87, 35], Operations: [] Exploring Operation: 57+36=93, Resulting Numbers: [87, 35, 93] Generated Node #2: [87, 35, 93] from Operation: 57+36=93 Current State: 41:[87, 35, 93], Operations: ['57+36=93'] Exploring Operation: 87-35=52, Resulting Numbers: [93, 52] Generated Node #3: [93, 52] from Operation: 87-35=52 Current State: 41:[93, 52], Operations: ['57+36=93', '87-35=52'] Exploring Operation: 93-52=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 58, 62, 84, 66 ]
14
[ "62-58=4", "84-66=18", "18-4=14" ]
Current State: 14:[58, 62, 84, 66], Operations: [] Exploring Operation: 62-58=4, Resulting Numbers: [84, 66, 4] Generated Node #2: [84, 66, 4] from Operation: 62-58=4 Current State: 14:[84, 66, 4], Operations: ['62-58=4'] Exploring Operation: 84-66=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 84-66=18 Current State: 14:[4, 18], Operations: ['62-58=4', '84-66=18'] Exploring Operation: 18-4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 79, 35, 62, 50 ]
32
[ "79-35=44", "62-50=12", "44-12=32" ]
Current State: 32:[79, 35, 62, 50], Operations: [] Exploring Operation: 79-35=44, Resulting Numbers: [62, 50, 44] Generated Node #2: [62, 50, 44] from Operation: 79-35=44 Current State: 32:[62, 50, 44], Operations: ['79-35=44'] Exploring Operation: 62-50=12, Resulting Numbers: [44, 12] Generated Node #3: [44, 12] from Operation: 62-50=12 Current State: 32:[44, 12], Operations: ['79-35=44', '62-50=12'] Exploring Operation: 44-12=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 70, 62, 71, 98 ]
95
[ "62+71=133", "70*133=9310", "9310/98=95" ]
Current State: 95:[70, 62, 71, 98], Operations: [] Exploring Operation: 62+71=133, Resulting Numbers: [70, 98, 133] Generated Node #2: [70, 98, 133] from Operation: 62+71=133 Current State: 95:[70, 98, 133], Operations: ['62+71=133'] Exploring Operation: 70*133=9310, Resulting Numbers: [98, 9310] Generated Node #3: [98, 9310] from Operation: 70*133=9310 Current State: 95:[98, 9310], Operations: ['62+71=133', '70*133=9310'] Exploring Operation: 9310/98=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 99, 62, 5, 57 ]
99
[ "99+62=161", "5+57=62", "161-62=99" ]
Current State: 99:[99, 62, 5, 57], Operations: [] Exploring Operation: 99+62=161, Resulting Numbers: [5, 57, 161] Generated Node #2: [5, 57, 161] from Operation: 99+62=161 Current State: 99:[5, 57, 161], Operations: ['99+62=161'] Exploring Operation: 5+57=62, Resulting Numbers: [161, 62] Generated Node #3: [161, 62] from Operation: 5+57=62 Current State: 99:[161, 62], Operations: ['99+62=161', '5+57=62'] Exploring Operation: 161-62=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 28, 89, 47, 85 ]
79
[ "28+89=117", "85-47=38", "117-38=79" ]
Current State: 79:[28, 89, 47, 85], Operations: [] Exploring Operation: 28+89=117, Resulting Numbers: [47, 85, 117] Generated Node #2: [47, 85, 117] from Operation: 28+89=117 Current State: 79:[47, 85, 117], Operations: ['28+89=117'] Exploring Operation: 85-47=38, Resulting Numbers: [117, 38] Generated Node #3: [117, 38] from Operation: 85-47=38 Current State: 79:[117, 38], Operations: ['28+89=117', '85-47=38'] Exploring Operation: 117-38=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 24, 86, 61, 8 ]
97
[ "24*61=1464", "1464/8=183", "183-86=97" ]
Current State: 97:[24, 86, 61, 8], Operations: [] Exploring Operation: 24*61=1464, Resulting Numbers: [86, 8, 1464] Generated Node #2: [86, 8, 1464] from Operation: 24*61=1464 Current State: 97:[86, 8, 1464], Operations: ['24*61=1464'] Exploring Operation: 1464/8=183, Resulting Numbers: [86, 183] Generated Node #3: [86, 183] from Operation: 1464/8=183 Current State: 97:[86, 183], Operations: ['24*61=1464', '1464/8=183'] Exploring Operation: 183-86=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 12, 3, 6, 17 ]
15
[ "12/3=4", "17-6=11", "4+11=15" ]
Current State: 15:[12, 3, 6, 17], Operations: [] Exploring Operation: 12/3=4, Resulting Numbers: [6, 17, 4] Generated Node #2: [6, 17, 4] from Operation: 12/3=4 Current State: 15:[6, 17, 4], Operations: ['12/3=4'] Exploring Operation: 17-6=11, Resulting Numbers: [4, 11] Generated Node #3: [4, 11] from Operation: 17-6=11 Current State: 15:[4, 11], Operations: ['12/3=4', '17-6=11'] Exploring Operation: 4+11=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 6, 75, 63, 90 ]
92
[ "75-63=12", "12/6=2", "90+2=92" ]
Current State: 92:[6, 75, 63, 90], Operations: [] Exploring Operation: 75-63=12, Resulting Numbers: [6, 90, 12] Generated Node #2: [6, 90, 12] from Operation: 75-63=12 Current State: 92:[6, 90, 12], Operations: ['75-63=12'] Exploring Operation: 12/6=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 12/6=2 Current State: 92:[90, 2], Operations: ['75-63=12', '12/6=2'] Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 51, 43, 4, 29 ]
33
[ "51-43=8", "29-4=25", "8+25=33" ]
Current State: 33:[51, 43, 4, 29], Operations: [] Exploring Operation: 51-43=8, Resulting Numbers: [4, 29, 8] Generated Node #2: [4, 29, 8] from Operation: 51-43=8 Current State: 33:[4, 29, 8], Operations: ['51-43=8'] Exploring Operation: 29-4=25, Resulting Numbers: [8, 25] Generated Node #3: [8, 25] from Operation: 29-4=25 Current State: 33:[8, 25], Operations: ['51-43=8', '29-4=25'] Exploring Operation: 8+25=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 11, 2, 43, 30 ]
94
[ "43-11=32", "2*32=64", "30+64=94" ]
Current State: 94:[11, 2, 43, 30], Operations: [] Exploring Operation: 43-11=32, Resulting Numbers: [2, 30, 32] Generated Node #2: [2, 30, 32] from Operation: 43-11=32 Current State: 94:[2, 30, 32], Operations: ['43-11=32'] Exploring Operation: 2*32=64, Resulting Numbers: [30, 64] Generated Node #3: [30, 64] from Operation: 2*32=64 Current State: 94:[30, 64], Operations: ['43-11=32', '2*32=64'] Exploring Operation: 30+64=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 31, 45, 98, 3 ]
82
[ "98-31=67", "45/3=15", "67+15=82" ]
Current State: 82:[31, 45, 98, 3], Operations: [] Exploring Operation: 98-31=67, Resulting Numbers: [45, 3, 67] Generated Node #2: [45, 3, 67] from Operation: 98-31=67 Current State: 82:[45, 3, 67], Operations: ['98-31=67'] Exploring Operation: 45/3=15, Resulting Numbers: [67, 15] Generated Node #3: [67, 15] from Operation: 45/3=15 Current State: 82:[67, 15], Operations: ['98-31=67', '45/3=15'] Exploring Operation: 67+15=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 49, 80, 19, 17 ]
67
[ "80-49=31", "19+17=36", "31+36=67" ]
Current State: 67:[49, 80, 19, 17], Operations: [] Exploring Operation: 80-49=31, Resulting Numbers: [19, 17, 31] Generated Node #2: [19, 17, 31] from Operation: 80-49=31 Current State: 67:[19, 17, 31], Operations: ['80-49=31'] Exploring Operation: 19+17=36, Resulting Numbers: [31, 36] Generated Node #3: [31, 36] from Operation: 19+17=36 Current State: 67:[31, 36], Operations: ['80-49=31', '19+17=36'] Exploring Operation: 31+36=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 83, 24, 71, 32 ]
44
[ "83-24=59", "71+32=103", "103-59=44" ]
Current State: 44:[83, 24, 71, 32], Operations: [] Exploring Operation: 83-24=59, Resulting Numbers: [71, 32, 59] Generated Node #2: [71, 32, 59] from Operation: 83-24=59 Current State: 44:[71, 32, 59], Operations: ['83-24=59'] Exploring Operation: 71+32=103, Resulting Numbers: [59, 103] Generated Node #3: [59, 103] from Operation: 71+32=103 Current State: 44:[59, 103], Operations: ['83-24=59', '71+32=103'] Exploring Operation: 103-59=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 14, 18, 83, 9 ]
65
[ "14+83=97", "18*9=162", "162-97=65" ]
Current State: 65:[14, 18, 83, 9], Operations: [] Exploring Operation: 14+83=97, Resulting Numbers: [18, 9, 97] Generated Node #2: [18, 9, 97] from Operation: 14+83=97 Current State: 65:[18, 9, 97], Operations: ['14+83=97'] Exploring Operation: 18*9=162, Resulting Numbers: [97, 162] Generated Node #3: [97, 162] from Operation: 18*9=162 Current State: 65:[97, 162], Operations: ['14+83=97', '18*9=162'] Exploring Operation: 162-97=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 89, 53, 49, 3 ]
16
[ "89-53=36", "49+3=52", "52-36=16" ]
Current State: 16:[89, 53, 49, 3], Operations: [] Exploring Operation: 89-53=36, Resulting Numbers: [49, 3, 36] Generated Node #2: [49, 3, 36] from Operation: 89-53=36 Current State: 16:[49, 3, 36], Operations: ['89-53=36'] Exploring Operation: 49+3=52, Resulting Numbers: [36, 52] Generated Node #3: [36, 52] from Operation: 49+3=52 Current State: 16:[36, 52], Operations: ['89-53=36', '49+3=52'] Exploring Operation: 52-36=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 56, 56, 69, 61 ]
61
[ "56-56=0", "69*0=0", "61+0=61" ]
Current State: 61:[56, 56, 69, 61], Operations: [] Exploring Operation: 56-56=0, Resulting Numbers: [69, 61, 0] Generated Node #2: [69, 61, 0] from Operation: 56-56=0 Current State: 61:[69, 61, 0], Operations: ['56-56=0'] Exploring Operation: 69*0=0, Resulting Numbers: [61, 0] Generated Node #3: [61, 0] from Operation: 69*0=0 Current State: 61:[61, 0], Operations: ['56-56=0', '69*0=0'] Exploring Operation: 61+0=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 93, 84, 48, 87 ]
48
[ "93-84=9", "87-48=39", "9+39=48" ]
Current State: 48:[93, 84, 48, 87], Operations: [] Exploring Operation: 93-84=9, Resulting Numbers: [48, 87, 9] Generated Node #2: [48, 87, 9] from Operation: 93-84=9 Current State: 48:[48, 87, 9], Operations: ['93-84=9'] Exploring Operation: 87-48=39, Resulting Numbers: [9, 39] Generated Node #3: [9, 39] from Operation: 87-48=39 Current State: 48:[9, 39], Operations: ['93-84=9', '87-48=39'] Exploring Operation: 9+39=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 58, 27, 22, 59 ]
68
[ "58-27=31", "59-22=37", "31+37=68" ]
Current State: 68:[58, 27, 22, 59], Operations: [] Exploring Operation: 58-27=31, Resulting Numbers: [22, 59, 31] Generated Node #2: [22, 59, 31] from Operation: 58-27=31 Current State: 68:[22, 59, 31], Operations: ['58-27=31'] Exploring Operation: 59-22=37, Resulting Numbers: [31, 37] Generated Node #3: [31, 37] from Operation: 59-22=37 Current State: 68:[31, 37], Operations: ['58-27=31', '59-22=37'] Exploring Operation: 31+37=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 17, 91, 75, 65 ]
66
[ "91-17=74", "75+65=140", "140-74=66" ]
Current State: 66:[17, 91, 75, 65], Operations: [] Exploring Operation: 91-17=74, Resulting Numbers: [75, 65, 74] Generated Node #2: [75, 65, 74] from Operation: 91-17=74 Current State: 66:[75, 65, 74], Operations: ['91-17=74'] Exploring Operation: 75+65=140, Resulting Numbers: [74, 140] Generated Node #3: [74, 140] from Operation: 75+65=140 Current State: 66:[74, 140], Operations: ['91-17=74', '75+65=140'] Exploring Operation: 140-74=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 26, 45, 90, 20 ]
39
[ "26+45=71", "90+20=110", "110-71=39" ]
Current State: 39:[26, 45, 90, 20], Operations: [] Exploring Operation: 26+45=71, Resulting Numbers: [90, 20, 71] Generated Node #2: [90, 20, 71] from Operation: 26+45=71 Current State: 39:[90, 20, 71], Operations: ['26+45=71'] Exploring Operation: 90+20=110, Resulting Numbers: [71, 110] Generated Node #3: [71, 110] from Operation: 90+20=110 Current State: 39:[71, 110], Operations: ['26+45=71', '90+20=110'] Exploring Operation: 110-71=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 15, 87, 57, 92 ]
47
[ "15+87=102", "57+92=149", "149-102=47" ]
Current State: 47:[15, 87, 57, 92], Operations: [] Exploring Operation: 15+87=102, Resulting Numbers: [57, 92, 102] Generated Node #2: [57, 92, 102] from Operation: 15+87=102 Current State: 47:[57, 92, 102], Operations: ['15+87=102'] Exploring Operation: 57+92=149, Resulting Numbers: [102, 149] Generated Node #3: [102, 149] from Operation: 57+92=149 Current State: 47:[102, 149], Operations: ['15+87=102', '57+92=149'] Exploring Operation: 149-102=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 11, 47, 38, 16 ]
80
[ "11+47=58", "38-16=22", "58+22=80" ]
Current State: 80:[11, 47, 38, 16], Operations: [] Exploring Operation: 11+47=58, Resulting Numbers: [38, 16, 58] Generated Node #2: [38, 16, 58] from Operation: 11+47=58 Current State: 80:[38, 16, 58], Operations: ['11+47=58'] Exploring Operation: 38-16=22, Resulting Numbers: [58, 22] Generated Node #3: [58, 22] from Operation: 38-16=22 Current State: 80:[58, 22], Operations: ['11+47=58', '38-16=22'] Exploring Operation: 58+22=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 92, 64, 46, 14 ]
80
[ "92/46=2", "64+14=78", "2+78=80" ]
Current State: 80:[92, 64, 46, 14], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [64, 14, 2] Generated Node #2: [64, 14, 2] from Operation: 92/46=2 Current State: 80:[64, 14, 2], Operations: ['92/46=2'] Exploring Operation: 64+14=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 64+14=78 Current State: 80:[2, 78], Operations: ['92/46=2', '64+14=78'] Exploring Operation: 2+78=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 55, 61, 23, 16 ]
13
[ "61-55=6", "23-16=7", "6+7=13" ]
Current State: 13:[55, 61, 23, 16], Operations: [] Exploring Operation: 61-55=6, Resulting Numbers: [23, 16, 6] Generated Node #2: [23, 16, 6] from Operation: 61-55=6 Current State: 13:[23, 16, 6], Operations: ['61-55=6'] Exploring Operation: 23-16=7, Resulting Numbers: [6, 7] Generated Node #3: [6, 7] from Operation: 23-16=7 Current State: 13:[6, 7], Operations: ['61-55=6', '23-16=7'] Exploring Operation: 6+7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 38, 60, 85, 17 ]
30
[ "38+60=98", "85-17=68", "98-68=30" ]
Current State: 30:[38, 60, 85, 17], Operations: [] Exploring Operation: 38+60=98, Resulting Numbers: [85, 17, 98] Generated Node #2: [85, 17, 98] from Operation: 38+60=98 Current State: 30:[85, 17, 98], Operations: ['38+60=98'] Exploring Operation: 85-17=68, Resulting Numbers: [98, 68] Generated Node #3: [98, 68] from Operation: 85-17=68 Current State: 30:[98, 68], Operations: ['38+60=98', '85-17=68'] Exploring Operation: 98-68=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4