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
[ 11, 76, 16, 6 ]
43
[ "76-11=65", "16+6=22", "65-22=43" ]
Current State: 43:[11, 76, 16, 6], Operations: [] Exploring Operation: 76-11=65, Resulting Numbers: [16, 6, 65] Generated Node #2: [16, 6, 65] from Operation: 76-11=65 Current State: 43:[16, 6, 65], Operations: ['76-11=65'] Exploring Operation: 16+6=22, Resulting Numbers: [65, 22] Generated Node #3: [65, 22] from Operation: 16+6=22 Current State: 43:[65, 22], Operations: ['76-11=65', '16+6=22'] Exploring Operation: 65-22=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 56, 72, 20, 63 ]
99
[ "72-56=16", "20+63=83", "16+83=99" ]
Current State: 99:[56, 72, 20, 63], Operations: [] Exploring Operation: 72-56=16, Resulting Numbers: [20, 63, 16] Generated Node #2: [20, 63, 16] from Operation: 72-56=16 Current State: 99:[20, 63, 16], Operations: ['72-56=16'] Exploring Operation: 20+63=83, Resulting Numbers: [16, 83] Generated Node #3: [16, 83] from Operation: 20+63=83 Current State: 99:[16, 83], Operations: ['72-56=16', '20+63=83'] Exploring Operation: 16+83=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 98, 7, 35, 18 ]
74
[ "98-7=91", "35-18=17", "91-17=74" ]
Current State: 74:[98, 7, 35, 18], Operations: [] Exploring Operation: 98-7=91, Resulting Numbers: [35, 18, 91] Generated Node #2: [35, 18, 91] from Operation: 98-7=91 Current State: 74:[35, 18, 91], Operations: ['98-7=91'] Exploring Operation: 35-18=17, Resulting Numbers: [91, 17] Generated Node #3: [91, 17] from Operation: 35-18=17 Current State: 74:[91, 17], Operations: ['98-7=91', '35-18=17'] Exploring Operation: 91-17=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 23, 18, 56, 98 ]
77
[ "23*56=1288", "98+1288=1386", "1386/18=77" ]
Current State: 77:[23, 18, 56, 98], Operations: [] Exploring Operation: 23*56=1288, Resulting Numbers: [18, 98, 1288] Generated Node #2: [18, 98, 1288] from Operation: 23*56=1288 Current State: 77:[18, 98, 1288], Operations: ['23*56=1288'] Exploring Operation: 98+1288=1386, Resulting Numbers: [18, 1386] Generated Node #3: [18, 1386] from Operation: 98+1288=1386 Current State: 77:[18, 1386], Operations: ['23*56=1288', '98+1288=1386'] Exploring Operation: 1386/18=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 34, 55, 53, 23 ]
97
[ "55-34=21", "53+23=76", "21+76=97" ]
Current State: 97:[34, 55, 53, 23], Operations: [] Exploring Operation: 55-34=21, Resulting Numbers: [53, 23, 21] Generated Node #2: [53, 23, 21] from Operation: 55-34=21 Current State: 97:[53, 23, 21], Operations: ['55-34=21'] Exploring Operation: 53+23=76, Resulting Numbers: [21, 76] Generated Node #3: [21, 76] from Operation: 53+23=76 Current State: 97:[21, 76], Operations: ['55-34=21', '53+23=76'] Exploring Operation: 21+76=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 55, 40, 84, 88 ]
53
[ "84-40=44", "88/44=2", "55-2=53" ]
Current State: 53:[55, 40, 84, 88], Operations: [] Exploring Operation: 84-40=44, Resulting Numbers: [55, 88, 44] Generated Node #2: [55, 88, 44] from Operation: 84-40=44 Current State: 53:[55, 88, 44], Operations: ['84-40=44'] Exploring Operation: 88/44=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 88/44=2 Current State: 53:[55, 2], Operations: ['84-40=44', '88/44=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 82, 10, 93, 4 ]
54
[ "93-82=11", "4*11=44", "10+44=54" ]
Current State: 54:[82, 10, 93, 4], Operations: [] Exploring Operation: 93-82=11, Resulting Numbers: [10, 4, 11] Generated Node #2: [10, 4, 11] from Operation: 93-82=11 Current State: 54:[10, 4, 11], Operations: ['93-82=11'] Exploring Operation: 4*11=44, Resulting Numbers: [10, 44] Generated Node #3: [10, 44] from Operation: 4*11=44 Current State: 54:[10, 44], Operations: ['93-82=11', '4*11=44'] Exploring Operation: 10+44=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 82, 26, 76, 2 ]
85
[ "76+2=78", "78/26=3", "82+3=85" ]
Current State: 85:[82, 26, 76, 2], Operations: [] Exploring Operation: 76+2=78, Resulting Numbers: [82, 26, 78] Generated Node #2: [82, 26, 78] from Operation: 76+2=78 Current State: 85:[82, 26, 78], Operations: ['76+2=78'] Exploring Operation: 78/26=3, Resulting Numbers: [82, 3] Generated Node #3: [82, 3] from Operation: 78/26=3 Current State: 85:[82, 3], Operations: ['76+2=78', '78/26=3'] Exploring Operation: 82+3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 94, 12, 87, 39 ]
20
[ "94+12=106", "87+39=126", "126-106=20" ]
Current State: 20:[94, 12, 87, 39], Operations: [] Exploring Operation: 94+12=106, Resulting Numbers: [87, 39, 106] Generated Node #2: [87, 39, 106] from Operation: 94+12=106 Current State: 20:[87, 39, 106], Operations: ['94+12=106'] Exploring Operation: 87+39=126, Resulting Numbers: [106, 126] Generated Node #3: [106, 126] from Operation: 87+39=126 Current State: 20:[106, 126], Operations: ['94+12=106', '87+39=126'] Exploring Operation: 126-106=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 67, 76, 93, 14 ]
36
[ "67+76=143", "93+14=107", "143-107=36" ]
Current State: 36:[67, 76, 93, 14], Operations: [] Exploring Operation: 67+76=143, Resulting Numbers: [93, 14, 143] Generated Node #2: [93, 14, 143] from Operation: 67+76=143 Current State: 36:[93, 14, 143], Operations: ['67+76=143'] Exploring Operation: 93+14=107, Resulting Numbers: [143, 107] Generated Node #3: [143, 107] from Operation: 93+14=107 Current State: 36:[143, 107], Operations: ['67+76=143', '93+14=107'] Exploring Operation: 143-107=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 26, 54, 55, 69 ]
42
[ "54-26=28", "69-55=14", "28+14=42" ]
Current State: 42:[26, 54, 55, 69], Operations: [] Exploring Operation: 54-26=28, Resulting Numbers: [55, 69, 28] Generated Node #2: [55, 69, 28] from Operation: 54-26=28 Current State: 42:[55, 69, 28], Operations: ['54-26=28'] Exploring Operation: 69-55=14, Resulting Numbers: [28, 14] Generated Node #3: [28, 14] from Operation: 69-55=14 Current State: 42:[28, 14], Operations: ['54-26=28', '69-55=14'] Exploring Operation: 28+14=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 42, 49, 87, 55 ]
80
[ "55-49=6", "42/6=7", "87-7=80" ]
Current State: 80:[42, 49, 87, 55], Operations: [] Exploring Operation: 55-49=6, Resulting Numbers: [42, 87, 6] Generated Node #2: [42, 87, 6] from Operation: 55-49=6 Current State: 80:[42, 87, 6], Operations: ['55-49=6'] Exploring Operation: 42/6=7, Resulting Numbers: [87, 7] Generated Node #3: [87, 7] from Operation: 42/6=7 Current State: 80:[87, 7], Operations: ['55-49=6', '42/6=7'] Exploring Operation: 87-7=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 62, 93, 89, 91 ]
31
[ "62*91=5642", "93+89=182", "5642/182=31" ]
Current State: 31:[62, 93, 89, 91], Operations: [] Exploring Operation: 62*91=5642, Resulting Numbers: [93, 89, 5642] Generated Node #2: [93, 89, 5642] from Operation: 62*91=5642 Current State: 31:[93, 89, 5642], Operations: ['62*91=5642'] Exploring Operation: 93+89=182, Resulting Numbers: [5642, 182] Generated Node #3: [5642, 182] from Operation: 93+89=182 Current State: 31:[5642, 182], Operations: ['62*91=5642', '93+89=182'] Exploring Operation: 5642/182=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 85, 53, 78, 76 ]
30
[ "85-53=32", "78-76=2", "32-2=30" ]
Current State: 30:[85, 53, 78, 76], Operations: [] Exploring Operation: 85-53=32, Resulting Numbers: [78, 76, 32] Generated Node #2: [78, 76, 32] from Operation: 85-53=32 Current State: 30:[78, 76, 32], Operations: ['85-53=32'] Exploring Operation: 78-76=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 78-76=2 Current State: 30:[32, 2], Operations: ['85-53=32', '78-76=2'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 98, 7, 38, 42 ]
66
[ "98/7=14", "38+42=80", "80-14=66" ]
Current State: 66:[98, 7, 38, 42], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [38, 42, 14] Generated Node #2: [38, 42, 14] from Operation: 98/7=14 Current State: 66:[38, 42, 14], Operations: ['98/7=14'] Exploring Operation: 38+42=80, Resulting Numbers: [14, 80] Generated Node #3: [14, 80] from Operation: 38+42=80 Current State: 66:[14, 80], Operations: ['98/7=14', '38+42=80'] Exploring Operation: 80-14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 32, 9, 20, 78 ]
81
[ "32-9=23", "78-20=58", "23+58=81" ]
Current State: 81:[32, 9, 20, 78], Operations: [] Exploring Operation: 32-9=23, Resulting Numbers: [20, 78, 23] Generated Node #2: [20, 78, 23] from Operation: 32-9=23 Current State: 81:[20, 78, 23], Operations: ['32-9=23'] Exploring Operation: 78-20=58, Resulting Numbers: [23, 58] Generated Node #3: [23, 58] from Operation: 78-20=58 Current State: 81:[23, 58], Operations: ['32-9=23', '78-20=58'] Exploring Operation: 23+58=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 46, 63, 95, 97 ]
83
[ "46+63=109", "95+97=192", "192-109=83" ]
Current State: 83:[46, 63, 95, 97], Operations: [] Exploring Operation: 46+63=109, Resulting Numbers: [95, 97, 109] Generated Node #2: [95, 97, 109] from Operation: 46+63=109 Current State: 83:[95, 97, 109], Operations: ['46+63=109'] Exploring Operation: 95+97=192, Resulting Numbers: [109, 192] Generated Node #3: [109, 192] from Operation: 95+97=192 Current State: 83:[109, 192], Operations: ['46+63=109', '95+97=192'] Exploring Operation: 192-109=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 49, 70, 63, 18 ]
25
[ "70-63=7", "49/7=7", "18+7=25" ]
Current State: 25:[49, 70, 63, 18], Operations: [] Exploring Operation: 70-63=7, Resulting Numbers: [49, 18, 7] Generated Node #2: [49, 18, 7] from Operation: 70-63=7 Current State: 25:[49, 18, 7], Operations: ['70-63=7'] Exploring Operation: 49/7=7, Resulting Numbers: [18, 7] Generated Node #3: [18, 7] from Operation: 49/7=7 Current State: 25:[18, 7], Operations: ['70-63=7', '49/7=7'] Exploring Operation: 18+7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 49, 11, 13, 6 ]
19
[ "49-11=38", "13+6=19", "38-19=19" ]
Current State: 19:[49, 11, 13, 6], Operations: [] Exploring Operation: 49-11=38, Resulting Numbers: [13, 6, 38] Generated Node #2: [13, 6, 38] from Operation: 49-11=38 Current State: 19:[13, 6, 38], Operations: ['49-11=38'] Exploring Operation: 13+6=19, Resulting Numbers: [38, 19] Generated Node #3: [38, 19] from Operation: 13+6=19 Current State: 19:[38, 19], Operations: ['49-11=38', '13+6=19'] Exploring Operation: 38-19=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 6, 63, 6, 14 ]
21
[ "6*63=378", "378/14=27", "27-6=21" ]
Current State: 21:[6, 63, 6, 14], Operations: [] Exploring Operation: 6*63=378, Resulting Numbers: [14, 378] Generated Node #2: [14, 378] from Operation: 6*63=378 Current State: 21:[14, 378], Operations: ['6*63=378'] Exploring Operation: 378/14=27, Resulting Numbers: [27] 27,21 equal: Goal Reached Exploring Operation: 27-6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 71, 32, 1, 24 ]
63
[ "71-32=39", "1*24=24", "39+24=63" ]
Current State: 63:[71, 32, 1, 24], Operations: [] Exploring Operation: 71-32=39, Resulting Numbers: [1, 24, 39] Generated Node #2: [1, 24, 39] from Operation: 71-32=39 Current State: 63:[1, 24, 39], Operations: ['71-32=39'] Exploring Operation: 1*24=24, Resulting Numbers: [39, 24] Generated Node #3: [39, 24] from Operation: 1*24=24 Current State: 63:[39, 24], Operations: ['71-32=39', '1*24=24'] Exploring Operation: 39+24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 50, 92, 80, 38 ]
24
[ "50+92=142", "80+38=118", "142-118=24" ]
Current State: 24:[50, 92, 80, 38], Operations: [] Exploring Operation: 50+92=142, Resulting Numbers: [80, 38, 142] Generated Node #2: [80, 38, 142] from Operation: 50+92=142 Current State: 24:[80, 38, 142], Operations: ['50+92=142'] Exploring Operation: 80+38=118, Resulting Numbers: [142, 118] Generated Node #3: [142, 118] from Operation: 80+38=118 Current State: 24:[142, 118], Operations: ['50+92=142', '80+38=118'] Exploring Operation: 142-118=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 16, 28, 22, 24 ]
46
[ "16+28=44", "24-22=2", "44+2=46" ]
Current State: 46:[16, 28, 22, 24], Operations: [] Exploring Operation: 16+28=44, Resulting Numbers: [22, 24, 44] Generated Node #2: [22, 24, 44] from Operation: 16+28=44 Current State: 46:[22, 24, 44], Operations: ['16+28=44'] Exploring Operation: 24-22=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 24-22=2 Current State: 46:[44, 2], Operations: ['16+28=44', '24-22=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 40, 22, 2, 32 ]
46
[ "40+22=62", "32/2=16", "62-16=46" ]
Current State: 46:[40, 22, 2, 32], Operations: [] Exploring Operation: 40+22=62, Resulting Numbers: [2, 32, 62] Generated Node #2: [2, 32, 62] from Operation: 40+22=62 Current State: 46:[2, 32, 62], Operations: ['40+22=62'] Exploring Operation: 32/2=16, Resulting Numbers: [62, 16] Generated Node #3: [62, 16] from Operation: 32/2=16 Current State: 46:[62, 16], Operations: ['40+22=62', '32/2=16'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 36, 86, 57, 38 ]
93
[ "86*57=4902", "4902/38=129", "129-36=93" ]
Current State: 93:[36, 86, 57, 38], Operations: [] Exploring Operation: 86*57=4902, Resulting Numbers: [36, 38, 4902] Generated Node #2: [36, 38, 4902] from Operation: 86*57=4902 Current State: 93:[36, 38, 4902], Operations: ['86*57=4902'] Exploring Operation: 4902/38=129, Resulting Numbers: [36, 129] Generated Node #3: [36, 129] from Operation: 4902/38=129 Current State: 93:[36, 129], Operations: ['86*57=4902', '4902/38=129'] Exploring Operation: 129-36=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 82, 22, 9, 62 ]
38
[ "82+62=144", "144/9=16", "22+16=38" ]
Current State: 38:[82, 22, 9, 62], Operations: [] Exploring Operation: 82+62=144, Resulting Numbers: [22, 9, 144] Generated Node #2: [22, 9, 144] from Operation: 82+62=144 Current State: 38:[22, 9, 144], Operations: ['82+62=144'] Exploring Operation: 144/9=16, Resulting Numbers: [22, 16] Generated Node #3: [22, 16] from Operation: 144/9=16 Current State: 38:[22, 16], Operations: ['82+62=144', '144/9=16'] Exploring Operation: 22+16=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 49, 4, 73, 16 ]
59
[ "49-16=33", "4*33=132", "132-73=59" ]
Current State: 59:[49, 4, 73, 16], Operations: [] Exploring Operation: 49-16=33, Resulting Numbers: [4, 73, 33] Generated Node #2: [4, 73, 33] from Operation: 49-16=33 Current State: 59:[4, 73, 33], Operations: ['49-16=33'] Exploring Operation: 4*33=132, Resulting Numbers: [73, 132] Generated Node #3: [73, 132] from Operation: 4*33=132 Current State: 59:[73, 132], Operations: ['49-16=33', '4*33=132'] Exploring Operation: 132-73=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 83, 24, 11, 94 ]
23
[ "83+11=94", "94/94=1", "24-1=23" ]
Current State: 23:[83, 24, 11, 94], Operations: [] Exploring Operation: 83+11=94, Resulting Numbers: [24, 94, 94] Generated Node #2: [24, 94, 94] from Operation: 83+11=94 Current State: 23:[24, 94, 94], Operations: ['83+11=94'] Exploring Operation: 94/94=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 94/94=1 Current State: 23:[24, 1], Operations: ['83+11=94', '94/94=1'] Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 6, 68, 86, 82 ]
66
[ "68-6=62", "86-82=4", "62+4=66" ]
Current State: 66:[6, 68, 86, 82], Operations: [] Exploring Operation: 68-6=62, Resulting Numbers: [86, 82, 62] Generated Node #2: [86, 82, 62] from Operation: 68-6=62 Current State: 66:[86, 82, 62], Operations: ['68-6=62'] Exploring Operation: 86-82=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation: 86-82=4 Current State: 66:[62, 4], Operations: ['68-6=62', '86-82=4'] Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 40, 75, 13, 79 ]
49
[ "40+75=115", "79-13=66", "115-66=49" ]
Current State: 49:[40, 75, 13, 79], Operations: [] Exploring Operation: 40+75=115, Resulting Numbers: [13, 79, 115] Generated Node #2: [13, 79, 115] from Operation: 40+75=115 Current State: 49:[13, 79, 115], Operations: ['40+75=115'] Exploring Operation: 79-13=66, Resulting Numbers: [115, 66] Generated Node #3: [115, 66] from Operation: 79-13=66 Current State: 49:[115, 66], Operations: ['40+75=115', '79-13=66'] Exploring Operation: 115-66=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 11, 41, 52, 7 ]
66
[ "11*7=77", "52-41=11", "77-11=66" ]
Current State: 66:[11, 41, 52, 7], Operations: [] Exploring Operation: 11*7=77, Resulting Numbers: [41, 52, 77] Generated Node #2: [41, 52, 77] from Operation: 11*7=77 Current State: 66:[41, 52, 77], Operations: ['11*7=77'] Exploring Operation: 52-41=11, Resulting Numbers: [77, 11] Generated Node #3: [77, 11] from Operation: 52-41=11 Current State: 66:[77, 11], Operations: ['11*7=77', '52-41=11'] Exploring Operation: 77-11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 7, 2, 22, 26 ]
69
[ "7*26=182", "182/2=91", "91-22=69" ]
Current State: 69:[7, 2, 22, 26], Operations: [] Exploring Operation: 7*26=182, Resulting Numbers: [2, 22, 182] Generated Node #2: [2, 22, 182] from Operation: 7*26=182 Current State: 69:[2, 22, 182], Operations: ['7*26=182'] Exploring Operation: 182/2=91, Resulting Numbers: [22, 91] Generated Node #3: [22, 91] from Operation: 182/2=91 Current State: 69:[22, 91], Operations: ['7*26=182', '182/2=91'] Exploring Operation: 91-22=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 7, 38, 52, 60 ]
30
[ "7*60=420", "52-38=14", "420/14=30" ]
Current State: 30:[7, 38, 52, 60], Operations: [] Exploring Operation: 7*60=420, Resulting Numbers: [38, 52, 420] Generated Node #2: [38, 52, 420] from Operation: 7*60=420 Current State: 30:[38, 52, 420], Operations: ['7*60=420'] Exploring Operation: 52-38=14, Resulting Numbers: [420, 14] Generated Node #3: [420, 14] from Operation: 52-38=14 Current State: 30:[420, 14], Operations: ['7*60=420', '52-38=14'] Exploring Operation: 420/14=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 94, 19, 92, 21 ]
20
[ "94-92=2", "19+21=40", "40/2=20" ]
Current State: 20:[94, 19, 92, 21], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [19, 21, 2] Generated Node #2: [19, 21, 2] from Operation: 94-92=2 Current State: 20:[19, 21, 2], Operations: ['94-92=2'] Exploring Operation: 19+21=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 19+21=40 Current State: 20:[2, 40], Operations: ['94-92=2', '19+21=40'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 11, 91, 12, 71 ]
20
[ "12-11=1", "91-71=20", "1*20=20" ]
Current State: 20:[11, 91, 12, 71], Operations: [] Exploring Operation: 12-11=1, Resulting Numbers: [91, 71, 1] Generated Node #2: [91, 71, 1] from Operation: 12-11=1 Current State: 20:[91, 71, 1], Operations: ['12-11=1'] Exploring Operation: 91-71=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 91-71=20 Current State: 20:[1, 20], Operations: ['12-11=1', '91-71=20'] Exploring Operation: 1*20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 64, 98, 17, 33 ]
17
[ "98-64=34", "34-33=1", "17*1=17" ]
Current State: 17:[64, 98, 17, 33], Operations: [] Exploring Operation: 98-64=34, Resulting Numbers: [17, 33, 34] Generated Node #2: [17, 33, 34] from Operation: 98-64=34 Current State: 17:[17, 33, 34], Operations: ['98-64=34'] Exploring Operation: 34-33=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 34-33=1 Current State: 17:[17, 1], Operations: ['98-64=34', '34-33=1'] Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 14, 24, 16, 4 ]
20
[ "24*4=96", "96/16=6", "14+6=20" ]
Current State: 20:[14, 24, 16, 4], Operations: [] Exploring Operation: 24*4=96, Resulting Numbers: [14, 16, 96] Generated Node #2: [14, 16, 96] from Operation: 24*4=96 Current State: 20:[14, 16, 96], Operations: ['24*4=96'] Exploring Operation: 96/16=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 96/16=6 Current State: 20:[14, 6], Operations: ['24*4=96', '96/16=6'] Exploring Operation: 14+6=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 2, 30, 60, 72 ]
23
[ "30*60=1800", "1800/72=25", "25-2=23" ]
Current State: 23:[2, 30, 60, 72], Operations: [] Exploring Operation: 30*60=1800, Resulting Numbers: [2, 72, 1800] Generated Node #2: [2, 72, 1800] from Operation: 30*60=1800 Current State: 23:[2, 72, 1800], Operations: ['30*60=1800'] Exploring Operation: 1800/72=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 1800/72=25 Current State: 23:[2, 25], Operations: ['30*60=1800', '1800/72=25'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 52, 53, 67, 84 ]
88
[ "52+53=105", "84-67=17", "105-17=88" ]
Current State: 88:[52, 53, 67, 84], Operations: [] Exploring Operation: 52+53=105, Resulting Numbers: [67, 84, 105] Generated Node #2: [67, 84, 105] from Operation: 52+53=105 Current State: 88:[67, 84, 105], Operations: ['52+53=105'] Exploring Operation: 84-67=17, Resulting Numbers: [105, 17] Generated Node #3: [105, 17] from Operation: 84-67=17 Current State: 88:[105, 17], Operations: ['52+53=105', '84-67=17'] Exploring Operation: 105-17=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 86, 12, 84, 83 ]
74
[ "86-12=74", "84-83=1", "74*1=74" ]
Current State: 74:[86, 12, 84, 83], Operations: [] Exploring Operation: 86-12=74, Resulting Numbers: [84, 83, 74] Generated Node #2: [84, 83, 74] from Operation: 86-12=74 Current State: 74:[84, 83, 74], Operations: ['86-12=74'] Exploring Operation: 84-83=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 84-83=1 Current State: 74:[74, 1], Operations: ['86-12=74', '84-83=1'] Exploring Operation: 74*1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 85, 55, 20, 87 ]
77
[ "85-55=30", "20+87=107", "107-30=77" ]
Current State: 77:[85, 55, 20, 87], Operations: [] Exploring Operation: 85-55=30, Resulting Numbers: [20, 87, 30] Generated Node #2: [20, 87, 30] from Operation: 85-55=30 Current State: 77:[20, 87, 30], Operations: ['85-55=30'] Exploring Operation: 20+87=107, Resulting Numbers: [30, 107] Generated Node #3: [30, 107] from Operation: 20+87=107 Current State: 77:[30, 107], Operations: ['85-55=30', '20+87=107'] Exploring Operation: 107-30=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 22, 28, 44, 12 ]
62
[ "28-22=6", "44+12=56", "6+56=62" ]
Current State: 62:[22, 28, 44, 12], Operations: [] Exploring Operation: 28-22=6, Resulting Numbers: [44, 12, 6] Generated Node #2: [44, 12, 6] from Operation: 28-22=6 Current State: 62:[44, 12, 6], Operations: ['28-22=6'] Exploring Operation: 44+12=56, Resulting Numbers: [6, 56] Generated Node #3: [6, 56] from Operation: 44+12=56 Current State: 62:[6, 56], Operations: ['28-22=6', '44+12=56'] Exploring Operation: 6+56=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 14, 94, 90, 81 ]
99
[ "14+94=108", "90-81=9", "108-9=99" ]
Current State: 99:[14, 94, 90, 81], Operations: [] Exploring Operation: 14+94=108, Resulting Numbers: [90, 81, 108] Generated Node #2: [90, 81, 108] from Operation: 14+94=108 Current State: 99:[90, 81, 108], Operations: ['14+94=108'] Exploring Operation: 90-81=9, Resulting Numbers: [108, 9] Generated Node #3: [108, 9] from Operation: 90-81=9 Current State: 99:[108, 9], Operations: ['14+94=108', '90-81=9'] Exploring Operation: 108-9=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 58, 4, 11, 71 ]
41
[ "71-58=13", "4*13=52", "52-11=41" ]
Current State: 41:[58, 4, 11, 71], Operations: [] Exploring Operation: 71-58=13, Resulting Numbers: [4, 11, 13] Generated Node #2: [4, 11, 13] from Operation: 71-58=13 Current State: 41:[4, 11, 13], Operations: ['71-58=13'] Exploring Operation: 4*13=52, Resulting Numbers: [11, 52] Generated Node #3: [11, 52] from Operation: 4*13=52 Current State: 41:[11, 52], Operations: ['71-58=13', '4*13=52'] Exploring Operation: 52-11=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 68, 48, 25, 44 ]
55
[ "68-48=20", "25*44=1100", "1100/20=55" ]
Current State: 55:[68, 48, 25, 44], Operations: [] Exploring Operation: 68-48=20, Resulting Numbers: [25, 44, 20] Generated Node #2: [25, 44, 20] from Operation: 68-48=20 Current State: 55:[25, 44, 20], Operations: ['68-48=20'] Exploring Operation: 25*44=1100, Resulting Numbers: [20, 1100] Generated Node #3: [20, 1100] from Operation: 25*44=1100 Current State: 55:[20, 1100], Operations: ['68-48=20', '25*44=1100'] Exploring Operation: 1100/20=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 11, 59, 12, 71 ]
10
[ "59+12=71", "71/71=1", "11-1=10" ]
Current State: 10:[11, 59, 12, 71], Operations: [] Exploring Operation: 59+12=71, Resulting Numbers: [11, 71, 71] Generated Node #2: [11, 71, 71] from Operation: 59+12=71 Current State: 10:[11, 71, 71], Operations: ['59+12=71'] Exploring Operation: 71/71=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 71/71=1 Current State: 10:[11, 1], Operations: ['59+12=71', '71/71=1'] Exploring Operation: 11-1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 18, 3, 53, 17 ]
49
[ "18+3=21", "53+17=70", "70-21=49" ]
Current State: 49:[18, 3, 53, 17], Operations: [] Exploring Operation: 18+3=21, Resulting Numbers: [53, 17, 21] Generated Node #2: [53, 17, 21] from Operation: 18+3=21 Current State: 49:[53, 17, 21], Operations: ['18+3=21'] Exploring Operation: 53+17=70, Resulting Numbers: [21, 70] Generated Node #3: [21, 70] from Operation: 53+17=70 Current State: 49:[21, 70], Operations: ['18+3=21', '53+17=70'] Exploring Operation: 70-21=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 75, 3, 67, 86 ]
97
[ "75+3=78", "86-67=19", "78+19=97" ]
Current State: 97:[75, 3, 67, 86], Operations: [] Exploring Operation: 75+3=78, Resulting Numbers: [67, 86, 78] Generated Node #2: [67, 86, 78] from Operation: 75+3=78 Current State: 97:[67, 86, 78], Operations: ['75+3=78'] Exploring Operation: 86-67=19, Resulting Numbers: [78, 19] Generated Node #3: [78, 19] from Operation: 86-67=19 Current State: 97:[78, 19], Operations: ['75+3=78', '86-67=19'] Exploring Operation: 78+19=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 48, 58, 60, 69 ]
42
[ "69-48=21", "60-58=2", "21*2=42" ]
Current State: 42:[48, 58, 60, 69], Operations: [] Exploring Operation: 69-48=21, Resulting Numbers: [58, 60, 21] Generated Node #2: [58, 60, 21] from Operation: 69-48=21 Current State: 42:[58, 60, 21], Operations: ['69-48=21'] Exploring Operation: 60-58=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 60-58=2 Current State: 42:[21, 2], Operations: ['69-48=21', '60-58=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 27, 21, 71, 46 ]
91
[ "71+46=117", "21*117=2457", "2457/27=91" ]
Current State: 91:[27, 21, 71, 46], Operations: [] Exploring Operation: 71+46=117, Resulting Numbers: [27, 21, 117] Generated Node #2: [27, 21, 117] from Operation: 71+46=117 Current State: 91:[27, 21, 117], Operations: ['71+46=117'] Exploring Operation: 21*117=2457, Resulting Numbers: [27, 2457] Generated Node #3: [27, 2457] from Operation: 21*117=2457 Current State: 91:[27, 2457], Operations: ['71+46=117', '21*117=2457'] Exploring Operation: 2457/27=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 74, 6, 45, 71 ]
27
[ "74-71=3", "6*3=18", "45-18=27" ]
Current State: 27:[74, 6, 45, 71], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [6, 45, 3] Generated Node #2: [6, 45, 3] from Operation: 74-71=3 Current State: 27:[6, 45, 3], Operations: ['74-71=3'] Exploring Operation: 6*3=18, Resulting Numbers: [45, 18] Generated Node #3: [45, 18] from Operation: 6*3=18 Current State: 27:[45, 18], Operations: ['74-71=3', '6*3=18'] Exploring Operation: 45-18=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 98, 60, 88, 12 ]
42
[ "98*12=1176", "88-60=28", "1176/28=42" ]
Current State: 42:[98, 60, 88, 12], Operations: [] Exploring Operation: 98*12=1176, Resulting Numbers: [60, 88, 1176] Generated Node #2: [60, 88, 1176] from Operation: 98*12=1176 Current State: 42:[60, 88, 1176], Operations: ['98*12=1176'] Exploring Operation: 88-60=28, Resulting Numbers: [1176, 28] Generated Node #3: [1176, 28] from Operation: 88-60=28 Current State: 42:[1176, 28], Operations: ['98*12=1176', '88-60=28'] Exploring Operation: 1176/28=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 6, 41, 46, 19 ]
56
[ "41+19=60", "60/6=10", "46+10=56" ]
Current State: 56:[6, 41, 46, 19], Operations: [] Exploring Operation: 41+19=60, Resulting Numbers: [6, 46, 60] Generated Node #2: [6, 46, 60] from Operation: 41+19=60 Current State: 56:[6, 46, 60], Operations: ['41+19=60'] Exploring Operation: 60/6=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 60/6=10 Current State: 56:[46, 10], Operations: ['41+19=60', '60/6=10'] Exploring Operation: 46+10=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 70, 28, 5, 45 ]
15
[ "70-28=42", "45-42=3", "5*3=15" ]
Current State: 15:[70, 28, 5, 45], Operations: [] Exploring Operation: 70-28=42, Resulting Numbers: [5, 45, 42] Generated Node #2: [5, 45, 42] from Operation: 70-28=42 Current State: 15:[5, 45, 42], Operations: ['70-28=42'] Exploring Operation: 45-42=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 45-42=3 Current State: 15:[5, 3], Operations: ['70-28=42', '45-42=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 57, 73, 74, 77 ]
21
[ "57+73=130", "74+77=151", "151-130=21" ]
Current State: 21:[57, 73, 74, 77], Operations: [] Exploring Operation: 57+73=130, Resulting Numbers: [74, 77, 130] Generated Node #2: [74, 77, 130] from Operation: 57+73=130 Current State: 21:[74, 77, 130], Operations: ['57+73=130'] Exploring Operation: 74+77=151, Resulting Numbers: [130, 151] Generated Node #3: [130, 151] from Operation: 74+77=151 Current State: 21:[130, 151], Operations: ['57+73=130', '74+77=151'] Exploring Operation: 151-130=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 49, 6, 25, 5 ]
50
[ "49+6=55", "25/5=5", "55-5=50" ]
Current State: 50:[49, 6, 25, 5], Operations: [] Exploring Operation: 49+6=55, Resulting Numbers: [25, 5, 55] Generated Node #2: [25, 5, 55] from Operation: 49+6=55 Current State: 50:[25, 5, 55], Operations: ['49+6=55'] Exploring Operation: 25/5=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 25/5=5 Current State: 50:[55, 5], Operations: ['49+6=55', '25/5=5'] Exploring Operation: 55-5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 55, 77, 61, 11 ]
63
[ "77-55=22", "22/11=2", "61+2=63" ]
Current State: 63:[55, 77, 61, 11], Operations: [] Exploring Operation: 77-55=22, Resulting Numbers: [61, 11, 22] Generated Node #2: [61, 11, 22] from Operation: 77-55=22 Current State: 63:[61, 11, 22], Operations: ['77-55=22'] Exploring Operation: 22/11=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 22/11=2 Current State: 63:[61, 2], Operations: ['77-55=22', '22/11=2'] Exploring Operation: 61+2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 6, 36, 33, 7 ]
11
[ "36-33=3", "6*3=18", "18-7=11" ]
Current State: 11:[6, 36, 33, 7], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [6, 7, 3] Generated Node #2: [6, 7, 3] from Operation: 36-33=3 Current State: 11:[6, 7, 3], Operations: ['36-33=3'] Exploring Operation: 6*3=18, Resulting Numbers: [7, 18] Generated Node #3: [7, 18] from Operation: 6*3=18 Current State: 11:[7, 18], Operations: ['36-33=3', '6*3=18'] Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 82, 82, 79, 9 ]
79
[ "82-82=0", "9*0=0", "79+0=79" ]
Current State: 79:[82, 82, 79, 9], Operations: [] Exploring Operation: 82-82=0, Resulting Numbers: [79, 9, 0] Generated Node #2: [79, 9, 0] from Operation: 82-82=0 Current State: 79:[79, 9, 0], Operations: ['82-82=0'] Exploring Operation: 9*0=0, Resulting Numbers: [79, 0] Generated Node #3: [79, 0] from Operation: 9*0=0 Current State: 79:[79, 0], Operations: ['82-82=0', '9*0=0'] Exploring Operation: 79+0=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 61, 87, 69, 28 ]
51
[ "61+87=148", "69+28=97", "148-97=51" ]
Current State: 51:[61, 87, 69, 28], Operations: [] Exploring Operation: 61+87=148, Resulting Numbers: [69, 28, 148] Generated Node #2: [69, 28, 148] from Operation: 61+87=148 Current State: 51:[69, 28, 148], Operations: ['61+87=148'] Exploring Operation: 69+28=97, Resulting Numbers: [148, 97] Generated Node #3: [148, 97] from Operation: 69+28=97 Current State: 51:[148, 97], Operations: ['61+87=148', '69+28=97'] Exploring Operation: 148-97=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 97, 74, 1 ]
23
[ "2-1=1", "97-74=23", "1*23=23" ]
Current State: 23:[2, 97, 74, 1], Operations: [] Exploring Operation: 2-1=1, Resulting Numbers: [97, 74, 1] Generated Node #2: [97, 74, 1] from Operation: 2-1=1 Current State: 23:[97, 74, 1], Operations: ['2-1=1'] Exploring Operation: 97-74=23, Resulting Numbers: [1, 23] Generated Node #3: [1, 23] from Operation: 97-74=23 Current State: 23:[1, 23], Operations: ['2-1=1', '97-74=23'] Exploring Operation: 1*23=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 78, 58, 10, 39 ]
69
[ "78-58=20", "10+39=49", "20+49=69" ]
Current State: 69:[78, 58, 10, 39], Operations: [] Exploring Operation: 78-58=20, Resulting Numbers: [10, 39, 20] Generated Node #2: [10, 39, 20] from Operation: 78-58=20 Current State: 69:[10, 39, 20], Operations: ['78-58=20'] Exploring Operation: 10+39=49, Resulting Numbers: [20, 49] Generated Node #3: [20, 49] from Operation: 10+39=49 Current State: 69:[20, 49], Operations: ['78-58=20', '10+39=49'] Exploring Operation: 20+49=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 12, 52, 29, 88 ]
84
[ "52+29=81", "88-81=7", "12*7=84" ]
Current State: 84:[12, 52, 29, 88], Operations: [] Exploring Operation: 52+29=81, Resulting Numbers: [12, 88, 81] Generated Node #2: [12, 88, 81] from Operation: 52+29=81 Current State: 84:[12, 88, 81], Operations: ['52+29=81'] Exploring Operation: 88-81=7, Resulting Numbers: [12, 7] Generated Node #3: [12, 7] from Operation: 88-81=7 Current State: 84:[12, 7], Operations: ['52+29=81', '88-81=7'] Exploring Operation: 12*7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 66, 5, 74, 13 ]
27
[ "74-66=8", "5*8=40", "40-13=27" ]
Current State: 27:[66, 5, 74, 13], Operations: [] Exploring Operation: 74-66=8, Resulting Numbers: [5, 13, 8] Generated Node #2: [5, 13, 8] from Operation: 74-66=8 Current State: 27:[5, 13, 8], Operations: ['74-66=8'] Exploring Operation: 5*8=40, Resulting Numbers: [13, 40] Generated Node #3: [13, 40] from Operation: 5*8=40 Current State: 27:[13, 40], Operations: ['74-66=8', '5*8=40'] Exploring Operation: 40-13=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 58, 18, 30, 98 ]
28
[ "58-18=40", "98-30=68", "68-40=28" ]
Current State: 28:[58, 18, 30, 98], Operations: [] Exploring Operation: 58-18=40, Resulting Numbers: [30, 98, 40] Generated Node #2: [30, 98, 40] from Operation: 58-18=40 Current State: 28:[30, 98, 40], Operations: ['58-18=40'] Exploring Operation: 98-30=68, Resulting Numbers: [40, 68] Generated Node #3: [40, 68] from Operation: 98-30=68 Current State: 28:[40, 68], Operations: ['58-18=40', '98-30=68'] Exploring Operation: 68-40=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 17, 51, 84, 73 ]
57
[ "17+51=68", "84-73=11", "68-11=57" ]
Current State: 57:[17, 51, 84, 73], Operations: [] Exploring Operation: 17+51=68, Resulting Numbers: [84, 73, 68] Generated Node #2: [84, 73, 68] from Operation: 17+51=68 Current State: 57:[84, 73, 68], Operations: ['17+51=68'] Exploring Operation: 84-73=11, Resulting Numbers: [68, 11] Generated Node #3: [68, 11] from Operation: 84-73=11 Current State: 57:[68, 11], Operations: ['17+51=68', '84-73=11'] Exploring Operation: 68-11=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 76, 32, 98, 89 ]
53
[ "76-32=44", "98-89=9", "44+9=53" ]
Current State: 53:[76, 32, 98, 89], Operations: [] Exploring Operation: 76-32=44, Resulting Numbers: [98, 89, 44] Generated Node #2: [98, 89, 44] from Operation: 76-32=44 Current State: 53:[98, 89, 44], Operations: ['76-32=44'] Exploring Operation: 98-89=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 98-89=9 Current State: 53:[44, 9], Operations: ['76-32=44', '98-89=9'] Exploring Operation: 44+9=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 8, 38, 49, 63 ]
74
[ "63-49=14", "8*14=112", "112-38=74" ]
Current State: 74:[8, 38, 49, 63], Operations: [] Exploring Operation: 63-49=14, Resulting Numbers: [8, 38, 14] Generated Node #2: [8, 38, 14] from Operation: 63-49=14 Current State: 74:[8, 38, 14], Operations: ['63-49=14'] Exploring Operation: 8*14=112, Resulting Numbers: [38, 112] Generated Node #3: [38, 112] from Operation: 8*14=112 Current State: 74:[38, 112], Operations: ['63-49=14', '8*14=112'] Exploring Operation: 112-38=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 83, 75, 80, 57 ]
96
[ "83-80=3", "57*3=171", "171-75=96" ]
Current State: 96:[83, 75, 80, 57], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [75, 57, 3] Generated Node #2: [75, 57, 3] from Operation: 83-80=3 Current State: 96:[75, 57, 3], Operations: ['83-80=3'] Exploring Operation: 57*3=171, Resulting Numbers: [75, 171] Generated Node #3: [75, 171] from Operation: 57*3=171 Current State: 96:[75, 171], Operations: ['83-80=3', '57*3=171'] Exploring Operation: 171-75=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 28, 88, 47, 25 ]
85
[ "28+47=75", "75/25=3", "88-3=85" ]
Current State: 85:[28, 88, 47, 25], Operations: [] Exploring Operation: 28+47=75, Resulting Numbers: [88, 25, 75] Generated Node #2: [88, 25, 75] from Operation: 28+47=75 Current State: 85:[88, 25, 75], Operations: ['28+47=75'] Exploring Operation: 75/25=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 75/25=3 Current State: 85:[88, 3], Operations: ['28+47=75', '75/25=3'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 85, 15, 20, 54 ]
66
[ "85+15=100", "54-20=34", "100-34=66" ]
Current State: 66:[85, 15, 20, 54], Operations: [] Exploring Operation: 85+15=100, Resulting Numbers: [20, 54, 100] Generated Node #2: [20, 54, 100] from Operation: 85+15=100 Current State: 66:[20, 54, 100], Operations: ['85+15=100'] Exploring Operation: 54-20=34, Resulting Numbers: [100, 34] Generated Node #3: [100, 34] from Operation: 54-20=34 Current State: 66:[100, 34], Operations: ['85+15=100', '54-20=34'] Exploring Operation: 100-34=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 33, 34, 5, 58 ]
29
[ "58-33=25", "25/5=5", "34-5=29" ]
Current State: 29:[33, 34, 5, 58], Operations: [] Exploring Operation: 58-33=25, Resulting Numbers: [34, 5, 25] Generated Node #2: [34, 5, 25] from Operation: 58-33=25 Current State: 29:[34, 5, 25], Operations: ['58-33=25'] Exploring Operation: 25/5=5, Resulting Numbers: [34, 5] Generated Node #3: [34, 5] from Operation: 25/5=5 Current State: 29:[34, 5], Operations: ['58-33=25', '25/5=5'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 48, 24, 96, 12 ]
86
[ "48/24=2", "96-12=84", "2+84=86" ]
Current State: 86:[48, 24, 96, 12], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [96, 12, 2] Generated Node #2: [96, 12, 2] from Operation: 48/24=2 Current State: 86:[96, 12, 2], Operations: ['48/24=2'] Exploring Operation: 96-12=84, Resulting Numbers: [2, 84] Generated Node #3: [2, 84] from Operation: 96-12=84 Current State: 86:[2, 84], Operations: ['48/24=2', '96-12=84'] Exploring Operation: 2+84=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 3, 94, 17, 69 ]
96
[ "3*69=207", "94+17=111", "207-111=96" ]
Current State: 96:[3, 94, 17, 69], Operations: [] Exploring Operation: 3*69=207, Resulting Numbers: [94, 17, 207] Generated Node #2: [94, 17, 207] from Operation: 3*69=207 Current State: 96:[94, 17, 207], Operations: ['3*69=207'] Exploring Operation: 94+17=111, Resulting Numbers: [207, 111] Generated Node #3: [207, 111] from Operation: 94+17=111 Current State: 96:[207, 111], Operations: ['3*69=207', '94+17=111'] Exploring Operation: 207-111=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 66, 28, 88, 77 ]
27
[ "66-28=38", "88-77=11", "38-11=27" ]
Current State: 27:[66, 28, 88, 77], Operations: [] Exploring Operation: 66-28=38, Resulting Numbers: [88, 77, 38] Generated Node #2: [88, 77, 38] from Operation: 66-28=38 Current State: 27:[88, 77, 38], Operations: ['66-28=38'] Exploring Operation: 88-77=11, Resulting Numbers: [38, 11] Generated Node #3: [38, 11] from Operation: 88-77=11 Current State: 27:[38, 11], Operations: ['66-28=38', '88-77=11'] Exploring Operation: 38-11=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 82, 23, 64, 41 ]
43
[ "82/41=2", "64-23=41", "2+41=43" ]
Current State: 43:[82, 23, 64, 41], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [23, 64, 2] Generated Node #2: [23, 64, 2] from Operation: 82/41=2 Current State: 43:[23, 64, 2], Operations: ['82/41=2'] Exploring Operation: 64-23=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 64-23=41 Current State: 43:[2, 41], Operations: ['82/41=2', '64-23=41'] Exploring Operation: 2+41=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 3, 33, 2 ]
68
[ "3-2=1", "33+1=34", "2*34=68" ]
Current State: 68:[2, 3, 33, 2], Operations: [] Exploring Operation: 3-2=1, Resulting Numbers: [33, 1] Generated Node #2: [33, 1] from Operation: 3-2=1 Current State: 68:[33, 1], Operations: ['3-2=1'] Exploring Operation: 33+1=34, Resulting Numbers: [34] 34,68 equal: Goal Reached Exploring Operation: 2*34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 59, 18, 49, 58 ]
86
[ "59+18=77", "58-49=9", "77+9=86" ]
Current State: 86:[59, 18, 49, 58], Operations: [] Exploring Operation: 59+18=77, Resulting Numbers: [49, 58, 77] Generated Node #2: [49, 58, 77] from Operation: 59+18=77 Current State: 86:[49, 58, 77], Operations: ['59+18=77'] Exploring Operation: 58-49=9, Resulting Numbers: [77, 9] Generated Node #3: [77, 9] from Operation: 58-49=9 Current State: 86:[77, 9], Operations: ['59+18=77', '58-49=9'] Exploring Operation: 77+9=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 74, 96, 10, 96 ]
65
[ "74-10=64", "96/96=1", "64+1=65" ]
Current State: 65:[74, 96, 10, 96], Operations: [] Exploring Operation: 74-10=64, Resulting Numbers: [96, 96, 64] Generated Node #2: [96, 96, 64] from Operation: 74-10=64 Current State: 65:[96, 96, 64], Operations: ['74-10=64'] Exploring Operation: 96/96=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 96/96=1 Current State: 65:[64, 1], Operations: ['74-10=64', '96/96=1'] Exploring Operation: 64+1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 3, 72, 52, 2 ]
26
[ "72/3=24", "52-2=50", "50-24=26" ]
Current State: 26:[3, 72, 52, 2], Operations: [] Exploring Operation: 72/3=24, Resulting Numbers: [52, 2, 24] Generated Node #2: [52, 2, 24] from Operation: 72/3=24 Current State: 26:[52, 2, 24], Operations: ['72/3=24'] Exploring Operation: 52-2=50, Resulting Numbers: [24, 50] Generated Node #3: [24, 50] from Operation: 52-2=50 Current State: 26:[24, 50], Operations: ['72/3=24', '52-2=50'] Exploring Operation: 50-24=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 57, 24, 60, 24 ]
57
[ "24-24=0", "60*0=0", "57+0=57" ]
Current State: 57:[57, 24, 60, 24], Operations: [] Exploring Operation: 24-24=0, Resulting Numbers: [57, 60, 0] Generated Node #2: [57, 60, 0] from Operation: 24-24=0 Current State: 57:[57, 60, 0], Operations: ['24-24=0'] Exploring Operation: 60*0=0, Resulting Numbers: [57, 0] Generated Node #3: [57, 0] from Operation: 60*0=0 Current State: 57:[57, 0], Operations: ['24-24=0', '60*0=0'] Exploring Operation: 57+0=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 87, 67, 32, 55 ]
43
[ "87-67=20", "55-32=23", "20+23=43" ]
Current State: 43:[87, 67, 32, 55], Operations: [] Exploring Operation: 87-67=20, Resulting Numbers: [32, 55, 20] Generated Node #2: [32, 55, 20] from Operation: 87-67=20 Current State: 43:[32, 55, 20], Operations: ['87-67=20'] Exploring Operation: 55-32=23, Resulting Numbers: [20, 23] Generated Node #3: [20, 23] from Operation: 55-32=23 Current State: 43:[20, 23], Operations: ['87-67=20', '55-32=23'] Exploring Operation: 20+23=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 6, 82, 24, 71 ]
44
[ "24/6=4", "82-71=11", "4*11=44" ]
Current State: 44:[6, 82, 24, 71], Operations: [] Exploring Operation: 24/6=4, Resulting Numbers: [82, 71, 4] Generated Node #2: [82, 71, 4] from Operation: 24/6=4 Current State: 44:[82, 71, 4], Operations: ['24/6=4'] Exploring Operation: 82-71=11, Resulting Numbers: [4, 11] Generated Node #3: [4, 11] from Operation: 82-71=11 Current State: 44:[4, 11], Operations: ['24/6=4', '82-71=11'] Exploring Operation: 4*11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 78, 70, 27, 74 ]
47
[ "78+70=148", "27+74=101", "148-101=47" ]
Current State: 47:[78, 70, 27, 74], Operations: [] Exploring Operation: 78+70=148, Resulting Numbers: [27, 74, 148] Generated Node #2: [27, 74, 148] from Operation: 78+70=148 Current State: 47:[27, 74, 148], Operations: ['78+70=148'] Exploring Operation: 27+74=101, Resulting Numbers: [148, 101] Generated Node #3: [148, 101] from Operation: 27+74=101 Current State: 47:[148, 101], Operations: ['78+70=148', '27+74=101'] Exploring Operation: 148-101=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 62, 8, 4, 3 ]
57
[ "62-3=59", "8/4=2", "59-2=57" ]
Current State: 57:[62, 8, 4, 3], Operations: [] Exploring Operation: 62-3=59, Resulting Numbers: [8, 4, 59] Generated Node #2: [8, 4, 59] from Operation: 62-3=59 Current State: 57:[8, 4, 59], Operations: ['62-3=59'] Exploring Operation: 8/4=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 8/4=2 Current State: 57:[59, 2], Operations: ['62-3=59', '8/4=2'] Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 37, 32, 38, 69 ]
100
[ "37+32=69", "69-38=31", "69+31=100" ]
Current State: 100:[37, 32, 38, 69], Operations: [] Exploring Operation: 37+32=69, Resulting Numbers: [38, 69, 69] Generated Node #2: [38, 69, 69] from Operation: 37+32=69 Current State: 100:[38, 69, 69], Operations: ['37+32=69'] Exploring Operation: 69-38=31, Resulting Numbers: [31] 31,100 equal: Goal Reached Exploring Operation: 69+31=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 78, 31, 67, 94 ]
65
[ "78-31=47", "94/47=2", "67-2=65" ]
Current State: 65:[78, 31, 67, 94], Operations: [] Exploring Operation: 78-31=47, Resulting Numbers: [67, 94, 47] Generated Node #2: [67, 94, 47] from Operation: 78-31=47 Current State: 65:[67, 94, 47], Operations: ['78-31=47'] Exploring Operation: 94/47=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 94/47=2 Current State: 65:[67, 2], Operations: ['78-31=47', '94/47=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 62, 1, 32, 28 ]
59
[ "62+1=63", "32-28=4", "63-4=59" ]
Current State: 59:[62, 1, 32, 28], Operations: [] Exploring Operation: 62+1=63, Resulting Numbers: [32, 28, 63] Generated Node #2: [32, 28, 63] from Operation: 62+1=63 Current State: 59:[32, 28, 63], Operations: ['62+1=63'] Exploring Operation: 32-28=4, Resulting Numbers: [63, 4] Generated Node #3: [63, 4] from Operation: 32-28=4 Current State: 59:[63, 4], Operations: ['62+1=63', '32-28=4'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 62, 77, 84, 10 ]
45
[ "62+77=139", "84+10=94", "139-94=45" ]
Current State: 45:[62, 77, 84, 10], Operations: [] Exploring Operation: 62+77=139, Resulting Numbers: [84, 10, 139] Generated Node #2: [84, 10, 139] from Operation: 62+77=139 Current State: 45:[84, 10, 139], Operations: ['62+77=139'] Exploring Operation: 84+10=94, Resulting Numbers: [139, 94] Generated Node #3: [139, 94] from Operation: 84+10=94 Current State: 45:[139, 94], Operations: ['62+77=139', '84+10=94'] Exploring Operation: 139-94=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 90, 13, 9, 51 ]
54
[ "90/9=10", "13+51=64", "64-10=54" ]
Current State: 54:[90, 13, 9, 51], Operations: [] Exploring Operation: 90/9=10, Resulting Numbers: [13, 51, 10] Generated Node #2: [13, 51, 10] from Operation: 90/9=10 Current State: 54:[13, 51, 10], Operations: ['90/9=10'] Exploring Operation: 13+51=64, Resulting Numbers: [10, 64] Generated Node #3: [10, 64] from Operation: 13+51=64 Current State: 54:[10, 64], Operations: ['90/9=10', '13+51=64'] Exploring Operation: 64-10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 78, 74, 3, 98 ]
50
[ "78/3=26", "98-74=24", "26+24=50" ]
Current State: 50:[78, 74, 3, 98], Operations: [] Exploring Operation: 78/3=26, Resulting Numbers: [74, 98, 26] Generated Node #2: [74, 98, 26] from Operation: 78/3=26 Current State: 50:[74, 98, 26], Operations: ['78/3=26'] Exploring Operation: 98-74=24, Resulting Numbers: [26, 24] Generated Node #3: [26, 24] from Operation: 98-74=24 Current State: 50:[26, 24], Operations: ['78/3=26', '98-74=24'] Exploring Operation: 26+24=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 65, 16, 75, 15 ]
100
[ "65+75=140", "16*15=240", "240-140=100" ]
Current State: 100:[65, 16, 75, 15], Operations: [] Exploring Operation: 65+75=140, Resulting Numbers: [16, 15, 140] Generated Node #2: [16, 15, 140] from Operation: 65+75=140 Current State: 100:[16, 15, 140], Operations: ['65+75=140'] Exploring Operation: 16*15=240, Resulting Numbers: [140, 240] Generated Node #3: [140, 240] from Operation: 16*15=240 Current State: 100:[140, 240], Operations: ['65+75=140', '16*15=240'] Exploring Operation: 240-140=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 8, 99, 69, 3 ]
66
[ "99-8=91", "91-69=22", "3*22=66" ]
Current State: 66:[8, 99, 69, 3], Operations: [] Exploring Operation: 99-8=91, Resulting Numbers: [69, 3, 91] Generated Node #2: [69, 3, 91] from Operation: 99-8=91 Current State: 66:[69, 3, 91], Operations: ['99-8=91'] Exploring Operation: 91-69=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 91-69=22 Current State: 66:[3, 22], Operations: ['99-8=91', '91-69=22'] Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 14, 54, 41, 32 ]
77
[ "14+54=68", "41-32=9", "68+9=77" ]
Current State: 77:[14, 54, 41, 32], Operations: [] Exploring Operation: 14+54=68, Resulting Numbers: [41, 32, 68] Generated Node #2: [41, 32, 68] from Operation: 14+54=68 Current State: 77:[41, 32, 68], Operations: ['14+54=68'] Exploring Operation: 41-32=9, Resulting Numbers: [68, 9] Generated Node #3: [68, 9] from Operation: 41-32=9 Current State: 77:[68, 9], Operations: ['14+54=68', '41-32=9'] Exploring Operation: 68+9=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 52, 34, 94, 19 ]
35
[ "94*19=1786", "34+1786=1820", "1820/52=35" ]
Current State: 35:[52, 34, 94, 19], Operations: [] Exploring Operation: 94*19=1786, Resulting Numbers: [52, 34, 1786] Generated Node #2: [52, 34, 1786] from Operation: 94*19=1786 Current State: 35:[52, 34, 1786], Operations: ['94*19=1786'] Exploring Operation: 34+1786=1820, Resulting Numbers: [52, 1820] Generated Node #3: [52, 1820] from Operation: 34+1786=1820 Current State: 35:[52, 1820], Operations: ['94*19=1786', '34+1786=1820'] Exploring Operation: 1820/52=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 29, 57, 40, 95 ]
58
[ "57+40=97", "97-95=2", "29*2=58" ]
Current State: 58:[29, 57, 40, 95], Operations: [] Exploring Operation: 57+40=97, Resulting Numbers: [29, 95, 97] Generated Node #2: [29, 95, 97] from Operation: 57+40=97 Current State: 58:[29, 95, 97], Operations: ['57+40=97'] Exploring Operation: 97-95=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 97-95=2 Current State: 58:[29, 2], Operations: ['57+40=97', '97-95=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 26, 62, 66, 28 ]
20
[ "26*66=1716", "62*28=1736", "1736-1716=20" ]
Current State: 20:[26, 62, 66, 28], Operations: [] Exploring Operation: 26*66=1716, Resulting Numbers: [62, 28, 1716] Generated Node #2: [62, 28, 1716] from Operation: 26*66=1716 Current State: 20:[62, 28, 1716], Operations: ['26*66=1716'] Exploring Operation: 62*28=1736, Resulting Numbers: [1716, 1736] Generated Node #3: [1716, 1736] from Operation: 62*28=1736 Current State: 20:[1716, 1736], Operations: ['26*66=1716', '62*28=1736'] Exploring Operation: 1736-1716=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 63, 18, 59, 3 ]
69
[ "63-59=4", "18*4=72", "72-3=69" ]
Current State: 69:[63, 18, 59, 3], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [18, 3, 4] Generated Node #2: [18, 3, 4] from Operation: 63-59=4 Current State: 69:[18, 3, 4], Operations: ['63-59=4'] Exploring Operation: 18*4=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 18*4=72 Current State: 69:[3, 72], Operations: ['63-59=4', '18*4=72'] Exploring Operation: 72-3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 11, 73, 7, 18 ]
12
[ "73-7=66", "66/11=6", "18-6=12" ]
Current State: 12:[11, 73, 7, 18], Operations: [] Exploring Operation: 73-7=66, Resulting Numbers: [11, 18, 66] Generated Node #2: [11, 18, 66] from Operation: 73-7=66 Current State: 12:[11, 18, 66], Operations: ['73-7=66'] Exploring Operation: 66/11=6, Resulting Numbers: [18, 6] Generated Node #3: [18, 6] from Operation: 66/11=6 Current State: 12:[18, 6], Operations: ['73-7=66', '66/11=6'] Exploring Operation: 18-6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 42, 3, 55, 66 ]
28
[ "42-3=39", "66-55=11", "39-11=28" ]
Current State: 28:[42, 3, 55, 66], Operations: [] Exploring Operation: 42-3=39, Resulting Numbers: [55, 66, 39] Generated Node #2: [55, 66, 39] from Operation: 42-3=39 Current State: 28:[55, 66, 39], Operations: ['42-3=39'] Exploring Operation: 66-55=11, Resulting Numbers: [39, 11] Generated Node #3: [39, 11] from Operation: 66-55=11 Current State: 28:[39, 11], Operations: ['42-3=39', '66-55=11'] Exploring Operation: 39-11=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4