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
[ 32, 98, 46, 94 ]
82
[ "32+98=130", "94-46=48", "130-48=82" ]
Current State: 82:[32, 98, 46, 94], Operations: [] Exploring Operation: 32+98=130, Resulting Numbers: [46, 94, 130] Generated Node #2: [46, 94, 130] from Operation: 32+98=130 Current State: 82:[46, 94, 130], Operations: ['32+98=130'] Exploring Operation: 94-46=48, Resulting Numbers: [130, 48] Generated Node #3: [130, 48] from Operation: 94-46=48 Current State: 82:[130, 48], Operations: ['32+98=130', '94-46=48'] Exploring Operation: 130-48=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 10, 13, 29, 17 ]
35
[ "10+13=23", "29-17=12", "23+12=35" ]
Current State: 35:[10, 13, 29, 17], Operations: [] Exploring Operation: 10+13=23, Resulting Numbers: [29, 17, 23] Generated Node #2: [29, 17, 23] from Operation: 10+13=23 Current State: 35:[29, 17, 23], Operations: ['10+13=23'] Exploring Operation: 29-17=12, Resulting Numbers: [23, 12] Generated Node #3: [23, 12] from Operation: 29-17=12 Current State: 35:[23, 12], Operations: ['10+13=23', '29-17=12'] Exploring Operation: 23+12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 99, 4, 36, 41 ]
79
[ "41-36=5", "4*5=20", "99-20=79" ]
Current State: 79:[99, 4, 36, 41], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [99, 4, 5] Generated Node #2: [99, 4, 5] from Operation: 41-36=5 Current State: 79:[99, 4, 5], Operations: ['41-36=5'] Exploring Operation: 4*5=20, Resulting Numbers: [99, 20] Generated Node #3: [99, 20] from Operation: 4*5=20 Current State: 79:[99, 20], Operations: ['41-36=5', '4*5=20'] Exploring Operation: 99-20=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 10, 68, 7, 5 ]
73
[ "10/5=2", "68+7=75", "75-2=73" ]
Current State: 73:[10, 68, 7, 5], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [68, 7, 2] Generated Node #2: [68, 7, 2] from Operation: 10/5=2 Current State: 73:[68, 7, 2], Operations: ['10/5=2'] Exploring Operation: 68+7=75, Resulting Numbers: [2, 75] Generated Node #3: [2, 75] from Operation: 68+7=75 Current State: 73:[2, 75], Operations: ['10/5=2', '68+7=75'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 42, 24, 53, 47 ]
82
[ "42-24=18", "53+47=100", "100-18=82" ]
Current State: 82:[42, 24, 53, 47], Operations: [] Exploring Operation: 42-24=18, Resulting Numbers: [53, 47, 18] Generated Node #2: [53, 47, 18] from Operation: 42-24=18 Current State: 82:[53, 47, 18], Operations: ['42-24=18'] Exploring Operation: 53+47=100, Resulting Numbers: [18, 100] Generated Node #3: [18, 100] from Operation: 53+47=100 Current State: 82:[18, 100], Operations: ['42-24=18', '53+47=100'] Exploring Operation: 100-18=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 16, 5, 48, 29 ]
99
[ "16*5=80", "48-29=19", "80+19=99" ]
Current State: 99:[16, 5, 48, 29], Operations: [] Exploring Operation: 16*5=80, Resulting Numbers: [48, 29, 80] Generated Node #2: [48, 29, 80] from Operation: 16*5=80 Current State: 99:[48, 29, 80], Operations: ['16*5=80'] Exploring Operation: 48-29=19, Resulting Numbers: [80, 19] Generated Node #3: [80, 19] from Operation: 48-29=19 Current State: 99:[80, 19], Operations: ['16*5=80', '48-29=19'] Exploring Operation: 80+19=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 99, 94, 80, 2 ]
71
[ "94-80=14", "2*14=28", "99-28=71" ]
Current State: 71:[99, 94, 80, 2], Operations: [] Exploring Operation: 94-80=14, Resulting Numbers: [99, 2, 14] Generated Node #2: [99, 2, 14] from Operation: 94-80=14 Current State: 71:[99, 2, 14], Operations: ['94-80=14'] Exploring Operation: 2*14=28, Resulting Numbers: [99, 28] Generated Node #3: [99, 28] from Operation: 2*14=28 Current State: 71:[99, 28], Operations: ['94-80=14', '2*14=28'] Exploring Operation: 99-28=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 42, 65, 67, 59 ]
62
[ "67+59=126", "126/42=3", "65-3=62" ]
Current State: 62:[42, 65, 67, 59], Operations: [] Exploring Operation: 67+59=126, Resulting Numbers: [42, 65, 126] Generated Node #2: [42, 65, 126] from Operation: 67+59=126 Current State: 62:[42, 65, 126], Operations: ['67+59=126'] Exploring Operation: 126/42=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 126/42=3 Current State: 62:[65, 3], Operations: ['67+59=126', '126/42=3'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 98, 65, 36, 36 ]
39
[ "98-65=33", "36+36=72", "72-33=39" ]
Current State: 39:[98, 65, 36, 36], Operations: [] Exploring Operation: 98-65=33, Resulting Numbers: [36, 36, 33] Generated Node #2: [36, 36, 33] from Operation: 98-65=33 Current State: 39:[36, 36, 33], Operations: ['98-65=33'] Exploring Operation: 36+36=72, Resulting Numbers: [33, 72] Generated Node #3: [33, 72] from Operation: 36+36=72 Current State: 39:[33, 72], Operations: ['98-65=33', '36+36=72'] Exploring Operation: 72-33=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 90, 3, 38, 82 ]
14
[ "90/3=30", "82-38=44", "44-30=14" ]
Current State: 14:[90, 3, 38, 82], Operations: [] Exploring Operation: 90/3=30, Resulting Numbers: [38, 82, 30] Generated Node #2: [38, 82, 30] from Operation: 90/3=30 Current State: 14:[38, 82, 30], Operations: ['90/3=30'] Exploring Operation: 82-38=44, Resulting Numbers: [30, 44] Generated Node #3: [30, 44] from Operation: 82-38=44 Current State: 14:[30, 44], Operations: ['90/3=30', '82-38=44'] Exploring Operation: 44-30=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 12, 98, 35, 58 ]
17
[ "12+98=110", "35+58=93", "110-93=17" ]
Current State: 17:[12, 98, 35, 58], Operations: [] Exploring Operation: 12+98=110, Resulting Numbers: [35, 58, 110] Generated Node #2: [35, 58, 110] from Operation: 12+98=110 Current State: 17:[35, 58, 110], Operations: ['12+98=110'] Exploring Operation: 35+58=93, Resulting Numbers: [110, 93] Generated Node #3: [110, 93] from Operation: 35+58=93 Current State: 17:[110, 93], Operations: ['12+98=110', '35+58=93'] Exploring Operation: 110-93=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 11, 92, 11, 17 ]
75
[ "11+92=103", "11+17=28", "103-28=75" ]
Current State: 75:[11, 92, 11, 17], Operations: [] Exploring Operation: 11+92=103, Resulting Numbers: [17, 103] Generated Node #2: [17, 103] from Operation: 11+92=103 Current State: 75:[17, 103], Operations: ['11+92=103'] Exploring Operation: 11+17=28, Resulting Numbers: [103, 28] Generated Node #3: [103, 28] from Operation: 11+17=28 Current State: 75:[103, 28], Operations: ['11+92=103', '11+17=28'] Exploring Operation: 103-28=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 81, 99, 6, 96 ]
11
[ "81+6=87", "96-87=9", "99/9=11" ]
Current State: 11:[81, 99, 6, 96], Operations: [] Exploring Operation: 81+6=87, Resulting Numbers: [99, 96, 87] Generated Node #2: [99, 96, 87] from Operation: 81+6=87 Current State: 11:[99, 96, 87], Operations: ['81+6=87'] Exploring Operation: 96-87=9, Resulting Numbers: [99, 9] Generated Node #3: [99, 9] from Operation: 96-87=9 Current State: 11:[99, 9], Operations: ['81+6=87', '96-87=9'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 12, 78, 37, 90 ]
37
[ "12+78=90", "37+90=127", "127-90=37" ]
Current State: 37:[12, 78, 37, 90], Operations: [] Exploring Operation: 12+78=90, Resulting Numbers: [37, 90, 90] Generated Node #2: [37, 90, 90] from Operation: 12+78=90 Current State: 37:[37, 90, 90], Operations: ['12+78=90'] Exploring Operation: 37+90=127, Resulting Numbers: [127] 127,37 equal: Goal Reached Exploring Operation: 127-90=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 71, 19, 80, 21 ]
62
[ "21-19=2", "71*2=142", "142-80=62" ]
Current State: 62:[71, 19, 80, 21], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [71, 80, 2] Generated Node #2: [71, 80, 2] from Operation: 21-19=2 Current State: 62:[71, 80, 2], Operations: ['21-19=2'] Exploring Operation: 71*2=142, Resulting Numbers: [80, 142] Generated Node #3: [80, 142] from Operation: 71*2=142 Current State: 62:[80, 142], Operations: ['21-19=2', '71*2=142'] Exploring Operation: 142-80=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 92, 13, 4, 18 ]
83
[ "92+13=105", "4+18=22", "105-22=83" ]
Current State: 83:[92, 13, 4, 18], Operations: [] Exploring Operation: 92+13=105, Resulting Numbers: [4, 18, 105] Generated Node #2: [4, 18, 105] from Operation: 92+13=105 Current State: 83:[4, 18, 105], Operations: ['92+13=105'] Exploring Operation: 4+18=22, Resulting Numbers: [105, 22] Generated Node #3: [105, 22] from Operation: 4+18=22 Current State: 83:[105, 22], Operations: ['92+13=105', '4+18=22'] Exploring Operation: 105-22=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 54, 72, 10, 45 ]
25
[ "72-54=18", "10*45=450", "450/18=25" ]
Current State: 25:[54, 72, 10, 45], Operations: [] Exploring Operation: 72-54=18, Resulting Numbers: [10, 45, 18] Generated Node #2: [10, 45, 18] from Operation: 72-54=18 Current State: 25:[10, 45, 18], Operations: ['72-54=18'] Exploring Operation: 10*45=450, Resulting Numbers: [18, 450] Generated Node #3: [18, 450] from Operation: 10*45=450 Current State: 25:[18, 450], Operations: ['72-54=18', '10*45=450'] Exploring Operation: 450/18=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 82, 80, 84, 67 ]
54
[ "84-82=2", "67*2=134", "134-80=54" ]
Current State: 54:[82, 80, 84, 67], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [80, 67, 2] Generated Node #2: [80, 67, 2] from Operation: 84-82=2 Current State: 54:[80, 67, 2], Operations: ['84-82=2'] Exploring Operation: 67*2=134, Resulting Numbers: [80, 134] Generated Node #3: [80, 134] from Operation: 67*2=134 Current State: 54:[80, 134], Operations: ['84-82=2', '67*2=134'] Exploring Operation: 134-80=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 19, 66, 24, 9 ]
100
[ "19+66=85", "24-9=15", "85+15=100" ]
Current State: 100:[19, 66, 24, 9], Operations: [] Exploring Operation: 19+66=85, Resulting Numbers: [24, 9, 85] Generated Node #2: [24, 9, 85] from Operation: 19+66=85 Current State: 100:[24, 9, 85], Operations: ['19+66=85'] Exploring Operation: 24-9=15, Resulting Numbers: [85, 15] Generated Node #3: [85, 15] from Operation: 24-9=15 Current State: 100:[85, 15], Operations: ['19+66=85', '24-9=15'] Exploring Operation: 85+15=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 5, 82, 93, 84 ]
96
[ "5+82=87", "93-84=9", "87+9=96" ]
Current State: 96:[5, 82, 93, 84], Operations: [] Exploring Operation: 5+82=87, Resulting Numbers: [93, 84, 87] Generated Node #2: [93, 84, 87] from Operation: 5+82=87 Current State: 96:[93, 84, 87], Operations: ['5+82=87'] Exploring Operation: 93-84=9, Resulting Numbers: [87, 9] Generated Node #3: [87, 9] from Operation: 93-84=9 Current State: 96:[87, 9], Operations: ['5+82=87', '93-84=9'] Exploring Operation: 87+9=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 17, 65, 27, 39 ]
17
[ "65-27=38", "39-38=1", "17*1=17" ]
Current State: 17:[17, 65, 27, 39], Operations: [] Exploring Operation: 65-27=38, Resulting Numbers: [17, 39, 38] Generated Node #2: [17, 39, 38] from Operation: 65-27=38 Current State: 17:[17, 39, 38], Operations: ['65-27=38'] Exploring Operation: 39-38=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 39-38=1 Current State: 17:[17, 1], Operations: ['65-27=38', '39-38=1'] Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 81, 24, 1, 3 ]
10
[ "81+1=82", "24*3=72", "82-72=10" ]
Current State: 10:[81, 24, 1, 3], Operations: [] Exploring Operation: 81+1=82, Resulting Numbers: [24, 3, 82] Generated Node #2: [24, 3, 82] from Operation: 81+1=82 Current State: 10:[24, 3, 82], Operations: ['81+1=82'] Exploring Operation: 24*3=72, Resulting Numbers: [82, 72] Generated Node #3: [82, 72] from Operation: 24*3=72 Current State: 10:[82, 72], Operations: ['81+1=82', '24*3=72'] Exploring Operation: 82-72=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 67, 92, 86, 39 ]
72
[ "92-67=25", "86-39=47", "25+47=72" ]
Current State: 72:[67, 92, 86, 39], Operations: [] Exploring Operation: 92-67=25, Resulting Numbers: [86, 39, 25] Generated Node #2: [86, 39, 25] from Operation: 92-67=25 Current State: 72:[86, 39, 25], Operations: ['92-67=25'] Exploring Operation: 86-39=47, Resulting Numbers: [25, 47] Generated Node #3: [25, 47] from Operation: 86-39=47 Current State: 72:[25, 47], Operations: ['92-67=25', '86-39=47'] Exploring Operation: 25+47=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 65, 11, 66, 62 ]
33
[ "65-62=3", "11*3=33", "66-33=33" ]
Current State: 33:[65, 11, 66, 62], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [11, 66, 3] Generated Node #2: [11, 66, 3] from Operation: 65-62=3 Current State: 33:[11, 66, 3], Operations: ['65-62=3'] Exploring Operation: 11*3=33, Resulting Numbers: [66, 33] Generated Node #3: [66, 33] from Operation: 11*3=33 Current State: 33:[66, 33], Operations: ['65-62=3', '11*3=33'] Exploring Operation: 66-33=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 73, 3, 81, 51 ]
97
[ "73+51=124", "81/3=27", "124-27=97" ]
Current State: 97:[73, 3, 81, 51], Operations: [] Exploring Operation: 73+51=124, Resulting Numbers: [3, 81, 124] Generated Node #2: [3, 81, 124] from Operation: 73+51=124 Current State: 97:[3, 81, 124], Operations: ['73+51=124'] Exploring Operation: 81/3=27, Resulting Numbers: [124, 27] Generated Node #3: [124, 27] from Operation: 81/3=27 Current State: 97:[124, 27], Operations: ['73+51=124', '81/3=27'] Exploring Operation: 124-27=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 30, 67, 64, 74 ]
70
[ "74-64=10", "30/10=3", "67+3=70" ]
Current State: 70:[30, 67, 64, 74], Operations: [] Exploring Operation: 74-64=10, Resulting Numbers: [30, 67, 10] Generated Node #2: [30, 67, 10] from Operation: 74-64=10 Current State: 70:[30, 67, 10], Operations: ['74-64=10'] Exploring Operation: 30/10=3, Resulting Numbers: [67, 3] Generated Node #3: [67, 3] from Operation: 30/10=3 Current State: 70:[67, 3], Operations: ['74-64=10', '30/10=3'] Exploring Operation: 67+3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 18, 20, 81, 12 ]
63
[ "20-12=8", "18*8=144", "144-81=63" ]
Current State: 63:[18, 20, 81, 12], Operations: [] Exploring Operation: 20-12=8, Resulting Numbers: [18, 81, 8] Generated Node #2: [18, 81, 8] from Operation: 20-12=8 Current State: 63:[18, 81, 8], Operations: ['20-12=8'] Exploring Operation: 18*8=144, Resulting Numbers: [81, 144] Generated Node #3: [81, 144] from Operation: 18*8=144 Current State: 63:[81, 144], Operations: ['20-12=8', '18*8=144'] Exploring Operation: 144-81=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 54, 2, 84, 57 ]
33
[ "54*2=108", "84+57=141", "141-108=33" ]
Current State: 33:[54, 2, 84, 57], Operations: [] Exploring Operation: 54*2=108, Resulting Numbers: [84, 57, 108] Generated Node #2: [84, 57, 108] from Operation: 54*2=108 Current State: 33:[84, 57, 108], Operations: ['54*2=108'] Exploring Operation: 84+57=141, Resulting Numbers: [108, 141] Generated Node #3: [108, 141] from Operation: 84+57=141 Current State: 33:[108, 141], Operations: ['54*2=108', '84+57=141'] Exploring Operation: 141-108=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 48, 89, 53, 67 ]
79
[ "89-48=41", "53+67=120", "120-41=79" ]
Current State: 79:[48, 89, 53, 67], Operations: [] Exploring Operation: 89-48=41, Resulting Numbers: [53, 67, 41] Generated Node #2: [53, 67, 41] from Operation: 89-48=41 Current State: 79:[53, 67, 41], Operations: ['89-48=41'] Exploring Operation: 53+67=120, Resulting Numbers: [41, 120] Generated Node #3: [41, 120] from Operation: 53+67=120 Current State: 79:[41, 120], Operations: ['89-48=41', '53+67=120'] Exploring Operation: 120-41=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 55, 72, 33, 15 ]
31
[ "72-55=17", "33+15=48", "48-17=31" ]
Current State: 31:[55, 72, 33, 15], Operations: [] Exploring Operation: 72-55=17, Resulting Numbers: [33, 15, 17] Generated Node #2: [33, 15, 17] from Operation: 72-55=17 Current State: 31:[33, 15, 17], Operations: ['72-55=17'] Exploring Operation: 33+15=48, Resulting Numbers: [17, 48] Generated Node #3: [17, 48] from Operation: 33+15=48 Current State: 31:[17, 48], Operations: ['72-55=17', '33+15=48'] Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 39, 18, 40, 9 ]
28
[ "39-18=21", "40+9=49", "49-21=28" ]
Current State: 28:[39, 18, 40, 9], Operations: [] Exploring Operation: 39-18=21, Resulting Numbers: [40, 9, 21] Generated Node #2: [40, 9, 21] from Operation: 39-18=21 Current State: 28:[40, 9, 21], Operations: ['39-18=21'] Exploring Operation: 40+9=49, Resulting Numbers: [21, 49] Generated Node #3: [21, 49] from Operation: 40+9=49 Current State: 28:[21, 49], Operations: ['39-18=21', '40+9=49'] Exploring Operation: 49-21=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 3, 19, 51, 11 ]
13
[ "51/3=17", "19+11=30", "30-17=13" ]
Current State: 13:[3, 19, 51, 11], Operations: [] Exploring Operation: 51/3=17, Resulting Numbers: [19, 11, 17] Generated Node #2: [19, 11, 17] from Operation: 51/3=17 Current State: 13:[19, 11, 17], Operations: ['51/3=17'] Exploring Operation: 19+11=30, Resulting Numbers: [17, 30] Generated Node #3: [17, 30] from Operation: 19+11=30 Current State: 13:[17, 30], Operations: ['51/3=17', '19+11=30'] Exploring Operation: 30-17=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 18, 36, 18, 33 ]
49
[ "36/18=2", "18+33=51", "51-2=49" ]
Current State: 49:[18, 36, 18, 33], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [33, 2] Generated Node #2: [33, 2] from Operation: 36/18=2 Current State: 49:[33, 2], Operations: ['36/18=2'] Exploring Operation: 18+33=51, Resulting Numbers: [2, 51] Generated Node #3: [2, 51] from Operation: 18+33=51 Current State: 49:[2, 51], Operations: ['36/18=2', '18+33=51'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 98, 67, 74, 69 ]
86
[ "98+74=172", "69-67=2", "172/2=86" ]
Current State: 86:[98, 67, 74, 69], Operations: [] Exploring Operation: 98+74=172, Resulting Numbers: [67, 69, 172] Generated Node #2: [67, 69, 172] from Operation: 98+74=172 Current State: 86:[67, 69, 172], Operations: ['98+74=172'] Exploring Operation: 69-67=2, Resulting Numbers: [172, 2] Generated Node #3: [172, 2] from Operation: 69-67=2 Current State: 86:[172, 2], Operations: ['98+74=172', '69-67=2'] Exploring Operation: 172/2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 34, 37, 80, 65 ]
77
[ "37+65=102", "102/34=3", "80-3=77" ]
Current State: 77:[34, 37, 80, 65], Operations: [] Exploring Operation: 37+65=102, Resulting Numbers: [34, 80, 102] Generated Node #2: [34, 80, 102] from Operation: 37+65=102 Current State: 77:[34, 80, 102], Operations: ['37+65=102'] Exploring Operation: 102/34=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 102/34=3 Current State: 77:[80, 3], Operations: ['37+65=102', '102/34=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 15, 80, 73, 6 ]
97
[ "15*6=90", "80-73=7", "90+7=97" ]
Current State: 97:[15, 80, 73, 6], Operations: [] Exploring Operation: 15*6=90, Resulting Numbers: [80, 73, 90] Generated Node #2: [80, 73, 90] from Operation: 15*6=90 Current State: 97:[80, 73, 90], Operations: ['15*6=90'] Exploring Operation: 80-73=7, Resulting Numbers: [90, 7] Generated Node #3: [90, 7] from Operation: 80-73=7 Current State: 97:[90, 7], Operations: ['15*6=90', '80-73=7'] Exploring Operation: 90+7=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 21, 50, 42, 48 ]
26
[ "42/21=2", "48/2=24", "50-24=26" ]
Current State: 26:[21, 50, 42, 48], Operations: [] Exploring Operation: 42/21=2, Resulting Numbers: [50, 48, 2] Generated Node #2: [50, 48, 2] from Operation: 42/21=2 Current State: 26:[50, 48, 2], Operations: ['42/21=2'] Exploring Operation: 48/2=24, Resulting Numbers: [50, 24] Generated Node #3: [50, 24] from Operation: 48/2=24 Current State: 26:[50, 24], Operations: ['42/21=2', '48/2=24'] Exploring Operation: 50-24=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 62, 23, 9, 53 ]
83
[ "62-23=39", "53-9=44", "39+44=83" ]
Current State: 83:[62, 23, 9, 53], Operations: [] Exploring Operation: 62-23=39, Resulting Numbers: [9, 53, 39] Generated Node #2: [9, 53, 39] from Operation: 62-23=39 Current State: 83:[9, 53, 39], Operations: ['62-23=39'] Exploring Operation: 53-9=44, Resulting Numbers: [39, 44] Generated Node #3: [39, 44] from Operation: 53-9=44 Current State: 83:[39, 44], Operations: ['62-23=39', '53-9=44'] Exploring Operation: 39+44=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 38, 13, 52, 87 ]
95
[ "52-38=14", "13*14=182", "182-87=95" ]
Current State: 95:[38, 13, 52, 87], Operations: [] Exploring Operation: 52-38=14, Resulting Numbers: [13, 87, 14] Generated Node #2: [13, 87, 14] from Operation: 52-38=14 Current State: 95:[13, 87, 14], Operations: ['52-38=14'] Exploring Operation: 13*14=182, Resulting Numbers: [87, 182] Generated Node #3: [87, 182] from Operation: 13*14=182 Current State: 95:[87, 182], Operations: ['52-38=14', '13*14=182'] Exploring Operation: 182-87=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 51, 39, 38, 37 ]
70
[ "39-37=2", "38/2=19", "51+19=70" ]
Current State: 70:[51, 39, 38, 37], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [51, 38, 2] Generated Node #2: [51, 38, 2] from Operation: 39-37=2 Current State: 70:[51, 38, 2], Operations: ['39-37=2'] Exploring Operation: 38/2=19, Resulting Numbers: [51, 19] Generated Node #3: [51, 19] from Operation: 38/2=19 Current State: 70:[51, 19], Operations: ['39-37=2', '38/2=19'] Exploring Operation: 51+19=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 99, 5, 38, 68 ]
93
[ "68-38=30", "30/5=6", "99-6=93" ]
Current State: 93:[99, 5, 38, 68], Operations: [] Exploring Operation: 68-38=30, Resulting Numbers: [99, 5, 30] Generated Node #2: [99, 5, 30] from Operation: 68-38=30 Current State: 93:[99, 5, 30], Operations: ['68-38=30'] Exploring Operation: 30/5=6, Resulting Numbers: [99, 6] Generated Node #3: [99, 6] from Operation: 30/5=6 Current State: 93:[99, 6], Operations: ['68-38=30', '30/5=6'] Exploring Operation: 99-6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 98, 46, 97, 2 ]
46
[ "98-97=1", "2-1=1", "46*1=46" ]
Current State: 46:[98, 46, 97, 2], Operations: [] Exploring Operation: 98-97=1, Resulting Numbers: [46, 2, 1] Generated Node #2: [46, 2, 1] from Operation: 98-97=1 Current State: 46:[46, 2, 1], Operations: ['98-97=1'] Exploring Operation: 2-1=1, Resulting Numbers: [46, 1] Generated Node #3: [46, 1] from Operation: 2-1=1 Current State: 46:[46, 1], Operations: ['98-97=1', '2-1=1'] Exploring Operation: 46*1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 55, 31, 58, 12 ]
22
[ "55-31=24", "58-12=46", "46-24=22" ]
Current State: 22:[55, 31, 58, 12], Operations: [] Exploring Operation: 55-31=24, Resulting Numbers: [58, 12, 24] Generated Node #2: [58, 12, 24] from Operation: 55-31=24 Current State: 22:[58, 12, 24], Operations: ['55-31=24'] Exploring Operation: 58-12=46, Resulting Numbers: [24, 46] Generated Node #3: [24, 46] from Operation: 58-12=46 Current State: 22:[24, 46], Operations: ['55-31=24', '58-12=46'] Exploring Operation: 46-24=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 23, 63, 84, 26 ]
63
[ "26-23=3", "84-63=21", "3*21=63" ]
Current State: 63:[23, 63, 84, 26], Operations: [] Exploring Operation: 26-23=3, Resulting Numbers: [63, 84, 3] Generated Node #2: [63, 84, 3] from Operation: 26-23=3 Current State: 63:[63, 84, 3], Operations: ['26-23=3'] Exploring Operation: 84-63=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 84-63=21 Current State: 63:[3, 21], Operations: ['26-23=3', '84-63=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 91, 16, 21, 21 ]
91
[ "21-21=0", "16*0=0", "91+0=91" ]
Current State: 91:[91, 16, 21, 21], Operations: [] Exploring Operation: 21-21=0, Resulting Numbers: [91, 16, 0] Generated Node #2: [91, 16, 0] from Operation: 21-21=0 Current State: 91:[91, 16, 0], Operations: ['21-21=0'] Exploring Operation: 16*0=0, Resulting Numbers: [91, 0] Generated Node #3: [91, 0] from Operation: 16*0=0 Current State: 91:[91, 0], Operations: ['21-21=0', '16*0=0'] Exploring Operation: 91+0=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 13, 73, 32, 33 ]
68
[ "32+33=65", "65/13=5", "73-5=68" ]
Current State: 68:[13, 73, 32, 33], Operations: [] Exploring Operation: 32+33=65, Resulting Numbers: [13, 73, 65] Generated Node #2: [13, 73, 65] from Operation: 32+33=65 Current State: 68:[13, 73, 65], Operations: ['32+33=65'] Exploring Operation: 65/13=5, Resulting Numbers: [73, 5] Generated Node #3: [73, 5] from Operation: 65/13=5 Current State: 68:[73, 5], Operations: ['32+33=65', '65/13=5'] Exploring Operation: 73-5=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 99, 50, 49, 98 ]
47
[ "99-50=49", "98/49=2", "49-2=47" ]
Current State: 47:[99, 50, 49, 98], Operations: [] Exploring Operation: 99-50=49, Resulting Numbers: [49, 98, 49] Generated Node #2: [49, 98, 49] from Operation: 99-50=49 Current State: 47:[49, 98, 49], Operations: ['99-50=49'] Exploring Operation: 98/49=2, Resulting Numbers: [2] 2,47 equal: Goal Reached Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 77, 16, 35, 65 ]
55
[ "77*35=2695", "65-16=49", "2695/49=55" ]
Current State: 55:[77, 16, 35, 65], Operations: [] Exploring Operation: 77*35=2695, Resulting Numbers: [16, 65, 2695] Generated Node #2: [16, 65, 2695] from Operation: 77*35=2695 Current State: 55:[16, 65, 2695], Operations: ['77*35=2695'] Exploring Operation: 65-16=49, Resulting Numbers: [2695, 49] Generated Node #3: [2695, 49] from Operation: 65-16=49 Current State: 55:[2695, 49], Operations: ['77*35=2695', '65-16=49'] Exploring Operation: 2695/49=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 49, 85, 70, 47 ]
50
[ "49-47=2", "70/2=35", "85-35=50" ]
Current State: 50:[49, 85, 70, 47], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [85, 70, 2] Generated Node #2: [85, 70, 2] from Operation: 49-47=2 Current State: 50:[85, 70, 2], Operations: ['49-47=2'] Exploring Operation: 70/2=35, Resulting Numbers: [85, 35] Generated Node #3: [85, 35] from Operation: 70/2=35 Current State: 50:[85, 35], Operations: ['49-47=2', '70/2=35'] Exploring Operation: 85-35=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 23, 30, 67, 33 ]
92
[ "67-30=37", "37-33=4", "23*4=92" ]
Current State: 92:[23, 30, 67, 33], Operations: [] Exploring Operation: 67-30=37, Resulting Numbers: [23, 33, 37] Generated Node #2: [23, 33, 37] from Operation: 67-30=37 Current State: 92:[23, 33, 37], Operations: ['67-30=37'] Exploring Operation: 37-33=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 37-33=4 Current State: 92:[23, 4], Operations: ['67-30=37', '37-33=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 63, 28, 20, 3 ]
47
[ "28+20=48", "48/3=16", "63-16=47" ]
Current State: 47:[63, 28, 20, 3], Operations: [] Exploring Operation: 28+20=48, Resulting Numbers: [63, 3, 48] Generated Node #2: [63, 3, 48] from Operation: 28+20=48 Current State: 47:[63, 3, 48], Operations: ['28+20=48'] Exploring Operation: 48/3=16, Resulting Numbers: [63, 16] Generated Node #3: [63, 16] from Operation: 48/3=16 Current State: 47:[63, 16], Operations: ['28+20=48', '48/3=16'] Exploring Operation: 63-16=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 45, 48, 53, 60 ]
54
[ "53-45=8", "48/8=6", "60-6=54" ]
Current State: 54:[45, 48, 53, 60], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [48, 60, 8] Generated Node #2: [48, 60, 8] from Operation: 53-45=8 Current State: 54:[48, 60, 8], Operations: ['53-45=8'] Exploring Operation: 48/8=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 48/8=6 Current State: 54:[60, 6], Operations: ['53-45=8', '48/8=6'] Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 26, 26, 38, 65 ]
79
[ "26+26=52", "65-38=27", "52+27=79" ]
Current State: 79:[26, 26, 38, 65], Operations: [] Exploring Operation: 26+26=52, Resulting Numbers: [38, 65, 52] Generated Node #2: [38, 65, 52] from Operation: 26+26=52 Current State: 79:[38, 65, 52], Operations: ['26+26=52'] Exploring Operation: 65-38=27, Resulting Numbers: [52, 27] Generated Node #3: [52, 27] from Operation: 65-38=27 Current State: 79:[52, 27], Operations: ['26+26=52', '65-38=27'] Exploring Operation: 52+27=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 37, 33, 82, 84 ]
41
[ "84-82=2", "37*2=74", "74-33=41" ]
Current State: 41:[37, 33, 82, 84], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [37, 33, 2] Generated Node #2: [37, 33, 2] from Operation: 84-82=2 Current State: 41:[37, 33, 2], Operations: ['84-82=2'] Exploring Operation: 37*2=74, Resulting Numbers: [33, 74] Generated Node #3: [33, 74] from Operation: 37*2=74 Current State: 41:[33, 74], Operations: ['84-82=2', '37*2=74'] Exploring Operation: 74-33=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 59, 14, 40, 18 ]
76
[ "59-40=19", "18-14=4", "19*4=76" ]
Current State: 76:[59, 14, 40, 18], Operations: [] Exploring Operation: 59-40=19, Resulting Numbers: [14, 18, 19] Generated Node #2: [14, 18, 19] from Operation: 59-40=19 Current State: 76:[14, 18, 19], Operations: ['59-40=19'] Exploring Operation: 18-14=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 18-14=4 Current State: 76:[19, 4], Operations: ['59-40=19', '18-14=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 5, 11, 14 ]
73
[ "14*5=70", "14-11=3", "70+3=73" ]
Current State: 73:[14, 5, 11, 14], Operations: [] Exploring Operation: 14*5=70, Resulting Numbers: [11, 70] Generated Node #2: [11, 70] from Operation: 14*5=70 Current State: 73:[11, 70], Operations: ['14*5=70'] Exploring Operation: 14-11=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 14-11=3 Current State: 73:[70, 3], Operations: ['14*5=70', '14-11=3'] Exploring Operation: 70+3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 20, 20, 16, 36 ]
90
[ "20+20=40", "36*40=1440", "1440/16=90" ]
Current State: 90:[20, 20, 16, 36], Operations: [] Exploring Operation: 20+20=40, Resulting Numbers: [16, 36, 40] Generated Node #2: [16, 36, 40] from Operation: 20+20=40 Current State: 90:[16, 36, 40], Operations: ['20+20=40'] Exploring Operation: 36*40=1440, Resulting Numbers: [16, 1440] Generated Node #3: [16, 1440] from Operation: 36*40=1440 Current State: 90:[16, 1440], Operations: ['20+20=40', '36*40=1440'] Exploring Operation: 1440/16=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 34, 33, 74, 42 ]
31
[ "34-33=1", "74-42=32", "32-1=31" ]
Current State: 31:[34, 33, 74, 42], Operations: [] Exploring Operation: 34-33=1, Resulting Numbers: [74, 42, 1] Generated Node #2: [74, 42, 1] from Operation: 34-33=1 Current State: 31:[74, 42, 1], Operations: ['34-33=1'] Exploring Operation: 74-42=32, Resulting Numbers: [1, 32] Generated Node #3: [1, 32] from Operation: 74-42=32 Current State: 31:[1, 32], Operations: ['34-33=1', '74-42=32'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 6, 25, 82, 15 ]
33
[ "6*15=90", "82-25=57", "90-57=33" ]
Current State: 33:[6, 25, 82, 15], Operations: [] Exploring Operation: 6*15=90, Resulting Numbers: [25, 82, 90] Generated Node #2: [25, 82, 90] from Operation: 6*15=90 Current State: 33:[25, 82, 90], Operations: ['6*15=90'] Exploring Operation: 82-25=57, Resulting Numbers: [90, 57] Generated Node #3: [90, 57] from Operation: 82-25=57 Current State: 33:[90, 57], Operations: ['6*15=90', '82-25=57'] Exploring Operation: 90-57=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 48, 86, 11, 28 ]
95
[ "48+86=134", "11+28=39", "134-39=95" ]
Current State: 95:[48, 86, 11, 28], Operations: [] Exploring Operation: 48+86=134, Resulting Numbers: [11, 28, 134] Generated Node #2: [11, 28, 134] from Operation: 48+86=134 Current State: 95:[11, 28, 134], Operations: ['48+86=134'] Exploring Operation: 11+28=39, Resulting Numbers: [134, 39] Generated Node #3: [134, 39] from Operation: 11+28=39 Current State: 95:[134, 39], Operations: ['48+86=134', '11+28=39'] Exploring Operation: 134-39=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 79, 76, 50, 25 ]
72
[ "79-76=3", "50+25=75", "75-3=72" ]
Current State: 72:[79, 76, 50, 25], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [50, 25, 3] Generated Node #2: [50, 25, 3] from Operation: 79-76=3 Current State: 72:[50, 25, 3], Operations: ['79-76=3'] Exploring Operation: 50+25=75, Resulting Numbers: [3, 75] Generated Node #3: [3, 75] from Operation: 50+25=75 Current State: 72:[3, 75], Operations: ['79-76=3', '50+25=75'] Exploring Operation: 75-3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 3, 64, 27, 6 ]
71
[ "27-6=21", "21/3=7", "64+7=71" ]
Current State: 71:[3, 64, 27, 6], Operations: [] Exploring Operation: 27-6=21, Resulting Numbers: [3, 64, 21] Generated Node #2: [3, 64, 21] from Operation: 27-6=21 Current State: 71:[3, 64, 21], Operations: ['27-6=21'] Exploring Operation: 21/3=7, Resulting Numbers: [64, 7] Generated Node #3: [64, 7] from Operation: 21/3=7 Current State: 71:[64, 7], Operations: ['27-6=21', '21/3=7'] Exploring Operation: 64+7=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 41, 2, 98, 39 ]
58
[ "41+39=80", "80/2=40", "98-40=58" ]
Current State: 58:[41, 2, 98, 39], Operations: [] Exploring Operation: 41+39=80, Resulting Numbers: [2, 98, 80] Generated Node #2: [2, 98, 80] from Operation: 41+39=80 Current State: 58:[2, 98, 80], Operations: ['41+39=80'] Exploring Operation: 80/2=40, Resulting Numbers: [98, 40] Generated Node #3: [98, 40] from Operation: 80/2=40 Current State: 58:[98, 40], Operations: ['41+39=80', '80/2=40'] Exploring Operation: 98-40=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 4, 16, 5, 56 ]
73
[ "16-4=12", "5+56=61", "12+61=73" ]
Current State: 73:[4, 16, 5, 56], Operations: [] Exploring Operation: 16-4=12, Resulting Numbers: [5, 56, 12] Generated Node #2: [5, 56, 12] from Operation: 16-4=12 Current State: 73:[5, 56, 12], Operations: ['16-4=12'] Exploring Operation: 5+56=61, Resulting Numbers: [12, 61] Generated Node #3: [12, 61] from Operation: 5+56=61 Current State: 73:[12, 61], Operations: ['16-4=12', '5+56=61'] Exploring Operation: 12+61=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 79, 2, 19, 81 ]
96
[ "79*2=158", "81-19=62", "158-62=96" ]
Current State: 96:[79, 2, 19, 81], Operations: [] Exploring Operation: 79*2=158, Resulting Numbers: [19, 81, 158] Generated Node #2: [19, 81, 158] from Operation: 79*2=158 Current State: 96:[19, 81, 158], Operations: ['79*2=158'] Exploring Operation: 81-19=62, Resulting Numbers: [158, 62] Generated Node #3: [158, 62] from Operation: 81-19=62 Current State: 96:[158, 62], Operations: ['79*2=158', '81-19=62'] Exploring Operation: 158-62=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 11, 16, 22 ]
34
[ "13*16=208", "11*22=242", "242-208=34" ]
Current State: 34:[13, 11, 16, 22], Operations: [] Exploring Operation: 13*16=208, Resulting Numbers: [11, 22, 208] Generated Node #2: [11, 22, 208] from Operation: 13*16=208 Current State: 34:[11, 22, 208], Operations: ['13*16=208'] Exploring Operation: 11*22=242, Resulting Numbers: [208, 242] Generated Node #3: [208, 242] from Operation: 11*22=242 Current State: 34:[208, 242], Operations: ['13*16=208', '11*22=242'] Exploring Operation: 242-208=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 80, 87, 32, 30 ]
12
[ "80*30=2400", "2400/32=75", "87-75=12" ]
Current State: 12:[80, 87, 32, 30], Operations: [] Exploring Operation: 80*30=2400, Resulting Numbers: [87, 32, 2400] Generated Node #2: [87, 32, 2400] from Operation: 80*30=2400 Current State: 12:[87, 32, 2400], Operations: ['80*30=2400'] Exploring Operation: 2400/32=75, Resulting Numbers: [87, 75] Generated Node #3: [87, 75] from Operation: 2400/32=75 Current State: 12:[87, 75], Operations: ['80*30=2400', '2400/32=75'] Exploring Operation: 87-75=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 26, 4, 95, 24 ]
97
[ "26-4=22", "95+24=119", "119-22=97" ]
Current State: 97:[26, 4, 95, 24], Operations: [] Exploring Operation: 26-4=22, Resulting Numbers: [95, 24, 22] Generated Node #2: [95, 24, 22] from Operation: 26-4=22 Current State: 97:[95, 24, 22], Operations: ['26-4=22'] Exploring Operation: 95+24=119, Resulting Numbers: [22, 119] Generated Node #3: [22, 119] from Operation: 95+24=119 Current State: 97:[22, 119], Operations: ['26-4=22', '95+24=119'] Exploring Operation: 119-22=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 13, 19, 18, 31 ]
19
[ "13+19=32", "31-18=13", "32-13=19" ]
Current State: 19:[13, 19, 18, 31], Operations: [] Exploring Operation: 13+19=32, Resulting Numbers: [18, 31, 32] Generated Node #2: [18, 31, 32] from Operation: 13+19=32 Current State: 19:[18, 31, 32], Operations: ['13+19=32'] Exploring Operation: 31-18=13, Resulting Numbers: [32, 13] Generated Node #3: [32, 13] from Operation: 31-18=13 Current State: 19:[32, 13], Operations: ['13+19=32', '31-18=13'] Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 59, 62, 36, 94 ]
99
[ "59*62=3658", "3658-94=3564", "3564/36=99" ]
Current State: 99:[59, 62, 36, 94], Operations: [] Exploring Operation: 59*62=3658, Resulting Numbers: [36, 94, 3658] Generated Node #2: [36, 94, 3658] from Operation: 59*62=3658 Current State: 99:[36, 94, 3658], Operations: ['59*62=3658'] Exploring Operation: 3658-94=3564, Resulting Numbers: [36, 3564] Generated Node #3: [36, 3564] from Operation: 3658-94=3564 Current State: 99:[36, 3564], Operations: ['59*62=3658', '3658-94=3564'] Exploring Operation: 3564/36=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 13, 95, 43, 4 ]
90
[ "95-13=82", "43*4=172", "172-82=90" ]
Current State: 90:[13, 95, 43, 4], Operations: [] Exploring Operation: 95-13=82, Resulting Numbers: [43, 4, 82] Generated Node #2: [43, 4, 82] from Operation: 95-13=82 Current State: 90:[43, 4, 82], Operations: ['95-13=82'] Exploring Operation: 43*4=172, Resulting Numbers: [82, 172] Generated Node #3: [82, 172] from Operation: 43*4=172 Current State: 90:[82, 172], Operations: ['95-13=82', '43*4=172'] Exploring Operation: 172-82=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 78, 49, 99, 98 ]
57
[ "78*98=7644", "7644/49=156", "156-99=57" ]
Current State: 57:[78, 49, 99, 98], Operations: [] Exploring Operation: 78*98=7644, Resulting Numbers: [49, 99, 7644] Generated Node #2: [49, 99, 7644] from Operation: 78*98=7644 Current State: 57:[49, 99, 7644], Operations: ['78*98=7644'] Exploring Operation: 7644/49=156, Resulting Numbers: [99, 156] Generated Node #3: [99, 156] from Operation: 7644/49=156 Current State: 57:[99, 156], Operations: ['78*98=7644', '7644/49=156'] Exploring Operation: 156-99=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 76, 22, 8, 78 ]
56
[ "76+78=154", "154/22=7", "8*7=56" ]
Current State: 56:[76, 22, 8, 78], Operations: [] Exploring Operation: 76+78=154, Resulting Numbers: [22, 8, 154] Generated Node #2: [22, 8, 154] from Operation: 76+78=154 Current State: 56:[22, 8, 154], Operations: ['76+78=154'] Exploring Operation: 154/22=7, Resulting Numbers: [8, 7] Generated Node #3: [8, 7] from Operation: 154/22=7 Current State: 56:[8, 7], Operations: ['76+78=154', '154/22=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 5, 49, 52, 53 ]
55
[ "5+49=54", "53-52=1", "54+1=55" ]
Current State: 55:[5, 49, 52, 53], Operations: [] Exploring Operation: 5+49=54, Resulting Numbers: [52, 53, 54] Generated Node #2: [52, 53, 54] from Operation: 5+49=54 Current State: 55:[52, 53, 54], Operations: ['5+49=54'] Exploring Operation: 53-52=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 53-52=1 Current State: 55:[54, 1], Operations: ['5+49=54', '53-52=1'] Exploring Operation: 54+1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 53, 76, 59, 97 ]
76
[ "59*97=5723", "53+5723=5776", "5776/76=76" ]
Current State: 76:[53, 76, 59, 97], Operations: [] Exploring Operation: 59*97=5723, Resulting Numbers: [53, 76, 5723] Generated Node #2: [53, 76, 5723] from Operation: 59*97=5723 Current State: 76:[53, 76, 5723], Operations: ['59*97=5723'] Exploring Operation: 53+5723=5776, Resulting Numbers: [76, 5776] Generated Node #3: [76, 5776] from Operation: 53+5723=5776 Current State: 76:[76, 5776], Operations: ['59*97=5723', '53+5723=5776'] Exploring Operation: 5776/76=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 75, 53, 71, 7 ]
25
[ "75-71=4", "7*4=28", "53-28=25" ]
Current State: 25:[75, 53, 71, 7], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [53, 7, 4] Generated Node #2: [53, 7, 4] from Operation: 75-71=4 Current State: 25:[53, 7, 4], Operations: ['75-71=4'] Exploring Operation: 7*4=28, Resulting Numbers: [53, 28] Generated Node #3: [53, 28] from Operation: 7*4=28 Current State: 25:[53, 28], Operations: ['75-71=4', '7*4=28'] Exploring Operation: 53-28=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 51, 32, 98, 66 ]
51
[ "51+32=83", "98-66=32", "83-32=51" ]
Current State: 51:[51, 32, 98, 66], Operations: [] Exploring Operation: 51+32=83, Resulting Numbers: [98, 66, 83] Generated Node #2: [98, 66, 83] from Operation: 51+32=83 Current State: 51:[98, 66, 83], Operations: ['51+32=83'] Exploring Operation: 98-66=32, Resulting Numbers: [83, 32] Generated Node #3: [83, 32] from Operation: 98-66=32 Current State: 51:[83, 32], Operations: ['51+32=83', '98-66=32'] Exploring Operation: 83-32=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 34, 51, 27, 83 ]
65
[ "34*27=918", "918/51=18", "83-18=65" ]
Current State: 65:[34, 51, 27, 83], Operations: [] Exploring Operation: 34*27=918, Resulting Numbers: [51, 83, 918] Generated Node #2: [51, 83, 918] from Operation: 34*27=918 Current State: 65:[51, 83, 918], Operations: ['34*27=918'] Exploring Operation: 918/51=18, Resulting Numbers: [83, 18] Generated Node #3: [83, 18] from Operation: 918/51=18 Current State: 65:[83, 18], Operations: ['34*27=918', '918/51=18'] Exploring Operation: 83-18=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 26, 91, 94, 2 ]
62
[ "26+94=120", "91*2=182", "182-120=62" ]
Current State: 62:[26, 91, 94, 2], Operations: [] Exploring Operation: 26+94=120, Resulting Numbers: [91, 2, 120] Generated Node #2: [91, 2, 120] from Operation: 26+94=120 Current State: 62:[91, 2, 120], Operations: ['26+94=120'] Exploring Operation: 91*2=182, Resulting Numbers: [120, 182] Generated Node #3: [120, 182] from Operation: 91*2=182 Current State: 62:[120, 182], Operations: ['26+94=120', '91*2=182'] Exploring Operation: 182-120=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 80, 82, 88, 98 ]
20
[ "82-80=2", "98-88=10", "2*10=20" ]
Current State: 20:[80, 82, 88, 98], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [88, 98, 2] Generated Node #2: [88, 98, 2] from Operation: 82-80=2 Current State: 20:[88, 98, 2], Operations: ['82-80=2'] Exploring Operation: 98-88=10, Resulting Numbers: [2, 10] Generated Node #3: [2, 10] from Operation: 98-88=10 Current State: 20:[2, 10], Operations: ['82-80=2', '98-88=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 86, 47, 51, 20 ]
91
[ "51-47=4", "20/4=5", "86+5=91" ]
Current State: 91:[86, 47, 51, 20], Operations: [] Exploring Operation: 51-47=4, Resulting Numbers: [86, 20, 4] Generated Node #2: [86, 20, 4] from Operation: 51-47=4 Current State: 91:[86, 20, 4], Operations: ['51-47=4'] Exploring Operation: 20/4=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 20/4=5 Current State: 91:[86, 5], Operations: ['51-47=4', '20/4=5'] Exploring Operation: 86+5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 80, 80, 85, 33 ]
17
[ "85-80=5", "80/5=16", "33-16=17" ]
Current State: 17:[80, 80, 85, 33], Operations: [] Exploring Operation: 85-80=5, Resulting Numbers: [33, 5] Generated Node #2: [33, 5] from Operation: 85-80=5 Current State: 17:[33, 5], Operations: ['85-80=5'] Exploring Operation: 80/5=16, Resulting Numbers: [33, 16] Generated Node #3: [33, 16] from Operation: 80/5=16 Current State: 17:[33, 16], Operations: ['85-80=5', '80/5=16'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 4, 34, 57, 58 ]
34
[ "57-34=23", "4*23=92", "92-58=34" ]
Current State: 34:[4, 34, 57, 58], Operations: [] Exploring Operation: 57-34=23, Resulting Numbers: [4, 58, 23] Generated Node #2: [4, 58, 23] from Operation: 57-34=23 Current State: 34:[4, 58, 23], Operations: ['57-34=23'] Exploring Operation: 4*23=92, Resulting Numbers: [58, 92] Generated Node #3: [58, 92] from Operation: 4*23=92 Current State: 34:[58, 92], Operations: ['57-34=23', '4*23=92'] Exploring Operation: 92-58=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 49, 75, 34, 97 ]
61
[ "49+75=124", "97-34=63", "124-63=61" ]
Current State: 61:[49, 75, 34, 97], Operations: [] Exploring Operation: 49+75=124, Resulting Numbers: [34, 97, 124] Generated Node #2: [34, 97, 124] from Operation: 49+75=124 Current State: 61:[34, 97, 124], Operations: ['49+75=124'] Exploring Operation: 97-34=63, Resulting Numbers: [124, 63] Generated Node #3: [124, 63] from Operation: 97-34=63 Current State: 61:[124, 63], Operations: ['49+75=124', '97-34=63'] Exploring Operation: 124-63=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 71, 60, 60, 90 ]
69
[ "90-60=30", "60/30=2", "71-2=69" ]
Current State: 69:[71, 60, 60, 90], Operations: [] Exploring Operation: 90-60=30, Resulting Numbers: [71, 30] Generated Node #2: [71, 30] from Operation: 90-60=30 Current State: 69:[71, 30], Operations: ['90-60=30'] Exploring Operation: 60/30=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 60/30=2 Current State: 69:[71, 2], Operations: ['90-60=30', '60/30=2'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 20, 73, 55, 83 ]
85
[ "73-20=53", "55+83=138", "138-53=85" ]
Current State: 85:[20, 73, 55, 83], Operations: [] Exploring Operation: 73-20=53, Resulting Numbers: [55, 83, 53] Generated Node #2: [55, 83, 53] from Operation: 73-20=53 Current State: 85:[55, 83, 53], Operations: ['73-20=53'] Exploring Operation: 55+83=138, Resulting Numbers: [53, 138] Generated Node #3: [53, 138] from Operation: 55+83=138 Current State: 85:[53, 138], Operations: ['73-20=53', '55+83=138'] Exploring Operation: 138-53=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 93, 58, 27, 42 ]
82
[ "93+58=151", "27+42=69", "151-69=82" ]
Current State: 82:[93, 58, 27, 42], Operations: [] Exploring Operation: 93+58=151, Resulting Numbers: [27, 42, 151] Generated Node #2: [27, 42, 151] from Operation: 93+58=151 Current State: 82:[27, 42, 151], Operations: ['93+58=151'] Exploring Operation: 27+42=69, Resulting Numbers: [151, 69] Generated Node #3: [151, 69] from Operation: 27+42=69 Current State: 82:[151, 69], Operations: ['93+58=151', '27+42=69'] Exploring Operation: 151-69=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 8, 15, 15, 16 ]
24
[ "8+15=23", "16-15=1", "23+1=24" ]
Current State: 24:[8, 15, 15, 16], Operations: [] Exploring Operation: 8+15=23, Resulting Numbers: [16, 23] Generated Node #2: [16, 23] from Operation: 8+15=23 Current State: 24:[16, 23], Operations: ['8+15=23'] Exploring Operation: 16-15=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 16-15=1 Current State: 24:[23, 1], Operations: ['8+15=23', '16-15=1'] Exploring Operation: 23+1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 11, 54, 52, 63 ]
37
[ "11+63=74", "54-52=2", "74/2=37" ]
Current State: 37:[11, 54, 52, 63], Operations: [] Exploring Operation: 11+63=74, Resulting Numbers: [54, 52, 74] Generated Node #2: [54, 52, 74] from Operation: 11+63=74 Current State: 37:[54, 52, 74], Operations: ['11+63=74'] Exploring Operation: 54-52=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 54-52=2 Current State: 37:[74, 2], Operations: ['11+63=74', '54-52=2'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 64, 34, 91, 59 ]
62
[ "64-34=30", "91-59=32", "30+32=62" ]
Current State: 62:[64, 34, 91, 59], Operations: [] Exploring Operation: 64-34=30, Resulting Numbers: [91, 59, 30] Generated Node #2: [91, 59, 30] from Operation: 64-34=30 Current State: 62:[91, 59, 30], Operations: ['64-34=30'] Exploring Operation: 91-59=32, Resulting Numbers: [30, 32] Generated Node #3: [30, 32] from Operation: 91-59=32 Current State: 62:[30, 32], Operations: ['64-34=30', '91-59=32'] Exploring Operation: 30+32=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 49, 26, 50 ]
100
[ "3+49=52", "52/26=2", "50*2=100" ]
Current State: 100:[3, 49, 26, 50], Operations: [] Exploring Operation: 3+49=52, Resulting Numbers: [26, 50, 52] Generated Node #2: [26, 50, 52] from Operation: 3+49=52 Current State: 100:[26, 50, 52], Operations: ['3+49=52'] Exploring Operation: 52/26=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 52/26=2 Current State: 100:[50, 2], Operations: ['3+49=52', '52/26=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 22, 68, 24, 1 ]
65
[ "22+68=90", "24+1=25", "90-25=65" ]
Current State: 65:[22, 68, 24, 1], Operations: [] Exploring Operation: 22+68=90, Resulting Numbers: [24, 1, 90] Generated Node #2: [24, 1, 90] from Operation: 22+68=90 Current State: 65:[24, 1, 90], Operations: ['22+68=90'] Exploring Operation: 24+1=25, Resulting Numbers: [90, 25] Generated Node #3: [90, 25] from Operation: 24+1=25 Current State: 65:[90, 25], Operations: ['22+68=90', '24+1=25'] Exploring Operation: 90-25=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 34, 1, 55, 70 ]
53
[ "34+1=35", "70/35=2", "55-2=53" ]
Current State: 53:[34, 1, 55, 70], Operations: [] Exploring Operation: 34+1=35, Resulting Numbers: [55, 70, 35] Generated Node #2: [55, 70, 35] from Operation: 34+1=35 Current State: 53:[55, 70, 35], Operations: ['34+1=35'] Exploring Operation: 70/35=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 70/35=2 Current State: 53:[55, 2], Operations: ['34+1=35', '70/35=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 58, 61, 30, 12 ]
15
[ "61-58=3", "30-12=18", "18-3=15" ]
Current State: 15:[58, 61, 30, 12], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [30, 12, 3] Generated Node #2: [30, 12, 3] from Operation: 61-58=3 Current State: 15:[30, 12, 3], Operations: ['61-58=3'] Exploring Operation: 30-12=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 30-12=18 Current State: 15:[3, 18], Operations: ['61-58=3', '30-12=18'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 39, 71, 28, 22 ]
33
[ "39+71=110", "110/22=5", "28+5=33" ]
Current State: 33:[39, 71, 28, 22], Operations: [] Exploring Operation: 39+71=110, Resulting Numbers: [28, 22, 110] Generated Node #2: [28, 22, 110] from Operation: 39+71=110 Current State: 33:[28, 22, 110], Operations: ['39+71=110'] Exploring Operation: 110/22=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 110/22=5 Current State: 33:[28, 5], Operations: ['39+71=110', '110/22=5'] Exploring Operation: 28+5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 64, 65, 27 ]
50
[ "65-27=38", "3*38=114", "114-64=50" ]
Current State: 50:[3, 64, 65, 27], Operations: [] Exploring Operation: 65-27=38, Resulting Numbers: [3, 64, 38] Generated Node #2: [3, 64, 38] from Operation: 65-27=38 Current State: 50:[3, 64, 38], Operations: ['65-27=38'] Exploring Operation: 3*38=114, Resulting Numbers: [64, 114] Generated Node #3: [64, 114] from Operation: 3*38=114 Current State: 50:[64, 114], Operations: ['65-27=38', '3*38=114'] Exploring Operation: 114-64=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 71, 80, 39, 3 ]
10
[ "80-71=9", "39-9=30", "30/3=10" ]
Current State: 10:[71, 80, 39, 3], Operations: [] Exploring Operation: 80-71=9, Resulting Numbers: [39, 3, 9] Generated Node #2: [39, 3, 9] from Operation: 80-71=9 Current State: 10:[39, 3, 9], Operations: ['80-71=9'] Exploring Operation: 39-9=30, Resulting Numbers: [3, 30] Generated Node #3: [3, 30] from Operation: 39-9=30 Current State: 10:[3, 30], Operations: ['80-71=9', '39-9=30'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 10, 54, 24, 56 ]
53
[ "54-24=30", "30/10=3", "56-3=53" ]
Current State: 53:[10, 54, 24, 56], Operations: [] Exploring Operation: 54-24=30, Resulting Numbers: [10, 56, 30] Generated Node #2: [10, 56, 30] from Operation: 54-24=30 Current State: 53:[10, 56, 30], Operations: ['54-24=30'] Exploring Operation: 30/10=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 30/10=3 Current State: 53:[56, 3], Operations: ['54-24=30', '30/10=3'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 64, 92, 36, 96 ]
55
[ "96-92=4", "36/4=9", "64-9=55" ]
Current State: 55:[64, 92, 36, 96], Operations: [] Exploring Operation: 96-92=4, Resulting Numbers: [64, 36, 4] Generated Node #2: [64, 36, 4] from Operation: 96-92=4 Current State: 55:[64, 36, 4], Operations: ['96-92=4'] Exploring Operation: 36/4=9, Resulting Numbers: [64, 9] Generated Node #3: [64, 9] from Operation: 36/4=9 Current State: 55:[64, 9], Operations: ['96-92=4', '36/4=9'] Exploring Operation: 64-9=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 27, 52, 82, 50 ]
53
[ "27+52=79", "82+50=132", "132-79=53" ]
Current State: 53:[27, 52, 82, 50], Operations: [] Exploring Operation: 27+52=79, Resulting Numbers: [82, 50, 79] Generated Node #2: [82, 50, 79] from Operation: 27+52=79 Current State: 53:[82, 50, 79], Operations: ['27+52=79'] Exploring Operation: 82+50=132, Resulting Numbers: [79, 132] Generated Node #3: [79, 132] from Operation: 82+50=132 Current State: 53:[79, 132], Operations: ['27+52=79', '82+50=132'] Exploring Operation: 132-79=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4