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
[ 55, 52, 46, 52 ]
86
[ "55-52=3", "46*3=138", "138-52=86" ]
Current State: 86:[55, 52, 46, 52], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [46, 3] Generated Node #2: [46, 3] from Operation: 55-52=3 Current State: 86:[46, 3], Operations: ['55-52=3'] Exploring Operation: 46*3=138, Resulting Numbers: [138] 138,86 equal: Goal Reached Exploring Operation: 138-52=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 6, 3, 55, 8 ]
39
[ "6/3=2", "8*2=16", "55-16=39" ]
Current State: 39:[6, 3, 55, 8], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [55, 8, 2] Generated Node #2: [55, 8, 2] from Operation: 6/3=2 Current State: 39:[55, 8, 2], Operations: ['6/3=2'] Exploring Operation: 8*2=16, Resulting Numbers: [55, 16] Generated Node #3: [55, 16] from Operation: 8*2=16 Current State: 39:[55, 16], Operations: ['6/3=2', '8*2=16'] Exploring Operation: 55-16=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 93, 59, 31, 4 ]
28
[ "93+59=152", "31*4=124", "152-124=28" ]
Current State: 28:[93, 59, 31, 4], Operations: [] Exploring Operation: 93+59=152, Resulting Numbers: [31, 4, 152] Generated Node #2: [31, 4, 152] from Operation: 93+59=152 Current State: 28:[31, 4, 152], Operations: ['93+59=152'] Exploring Operation: 31*4=124, Resulting Numbers: [152, 124] Generated Node #3: [152, 124] from Operation: 31*4=124 Current State: 28:[152, 124], Operations: ['93+59=152', '31*4=124'] Exploring Operation: 152-124=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 38, 19, 37, 41 ]
45
[ "38/19=2", "41*2=82", "82-37=45" ]
Current State: 45:[38, 19, 37, 41], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [37, 41, 2] Generated Node #2: [37, 41, 2] from Operation: 38/19=2 Current State: 45:[37, 41, 2], Operations: ['38/19=2'] Exploring Operation: 41*2=82, Resulting Numbers: [37, 82] Generated Node #3: [37, 82] from Operation: 41*2=82 Current State: 45:[37, 82], Operations: ['38/19=2', '41*2=82'] Exploring Operation: 82-37=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 15, 5, 90, 79 ]
82
[ "79-15=64", "90/5=18", "64+18=82" ]
Current State: 82:[15, 5, 90, 79], Operations: [] Exploring Operation: 79-15=64, Resulting Numbers: [5, 90, 64] Generated Node #2: [5, 90, 64] from Operation: 79-15=64 Current State: 82:[5, 90, 64], Operations: ['79-15=64'] Exploring Operation: 90/5=18, Resulting Numbers: [64, 18] Generated Node #3: [64, 18] from Operation: 90/5=18 Current State: 82:[64, 18], Operations: ['79-15=64', '90/5=18'] Exploring Operation: 64+18=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 77, 7, 88, 18 ]
95
[ "77/7=11", "88+18=106", "106-11=95" ]
Current State: 95:[77, 7, 88, 18], Operations: [] Exploring Operation: 77/7=11, Resulting Numbers: [88, 18, 11] Generated Node #2: [88, 18, 11] from Operation: 77/7=11 Current State: 95:[88, 18, 11], Operations: ['77/7=11'] Exploring Operation: 88+18=106, Resulting Numbers: [11, 106] Generated Node #3: [11, 106] from Operation: 88+18=106 Current State: 95:[11, 106], Operations: ['77/7=11', '88+18=106'] Exploring Operation: 106-11=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 97, 84, 27, 26 ]
13
[ "97-84=13", "27-26=1", "13*1=13" ]
Current State: 13:[97, 84, 27, 26], Operations: [] Exploring Operation: 97-84=13, Resulting Numbers: [27, 26, 13] Generated Node #2: [27, 26, 13] from Operation: 97-84=13 Current State: 13:[27, 26, 13], Operations: ['97-84=13'] Exploring Operation: 27-26=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 27-26=1 Current State: 13:[13, 1], Operations: ['97-84=13', '27-26=1'] Exploring Operation: 13*1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 76, 58, 5, 81 ]
94
[ "76-58=18", "81-5=76", "18+76=94" ]
Current State: 94:[76, 58, 5, 81], Operations: [] Exploring Operation: 76-58=18, Resulting Numbers: [5, 81, 18] Generated Node #2: [5, 81, 18] from Operation: 76-58=18 Current State: 94:[5, 81, 18], Operations: ['76-58=18'] Exploring Operation: 81-5=76, Resulting Numbers: [18, 76] Generated Node #3: [18, 76] from Operation: 81-5=76 Current State: 94:[18, 76], Operations: ['76-58=18', '81-5=76'] Exploring Operation: 18+76=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 87, 12, 55, 44 ]
86
[ "87-12=75", "55-44=11", "75+11=86" ]
Current State: 86:[87, 12, 55, 44], Operations: [] Exploring Operation: 87-12=75, Resulting Numbers: [55, 44, 75] Generated Node #2: [55, 44, 75] from Operation: 87-12=75 Current State: 86:[55, 44, 75], Operations: ['87-12=75'] Exploring Operation: 55-44=11, Resulting Numbers: [75, 11] Generated Node #3: [75, 11] from Operation: 55-44=11 Current State: 86:[75, 11], Operations: ['87-12=75', '55-44=11'] Exploring Operation: 75+11=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 40, 62, 46, 20 ]
14
[ "40/20=2", "62-46=16", "16-2=14" ]
Current State: 14:[40, 62, 46, 20], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [62, 46, 2] Generated Node #2: [62, 46, 2] from Operation: 40/20=2 Current State: 14:[62, 46, 2], Operations: ['40/20=2'] Exploring Operation: 62-46=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 62-46=16 Current State: 14:[2, 16], Operations: ['40/20=2', '62-46=16'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 33, 62, 30, 98 ]
99
[ "62-33=29", "30+98=128", "128-29=99" ]
Current State: 99:[33, 62, 30, 98], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [30, 98, 29] Generated Node #2: [30, 98, 29] from Operation: 62-33=29 Current State: 99:[30, 98, 29], Operations: ['62-33=29'] Exploring Operation: 30+98=128, Resulting Numbers: [29, 128] Generated Node #3: [29, 128] from Operation: 30+98=128 Current State: 99:[29, 128], Operations: ['62-33=29', '30+98=128'] Exploring Operation: 128-29=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 11, 9, 22, 19 ]
26
[ "22/11=2", "9+19=28", "28-2=26" ]
Current State: 26:[11, 9, 22, 19], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [9, 19, 2] Generated Node #2: [9, 19, 2] from Operation: 22/11=2 Current State: 26:[9, 19, 2], Operations: ['22/11=2'] Exploring Operation: 9+19=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 9+19=28 Current State: 26:[2, 28], Operations: ['22/11=2', '9+19=28'] Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 12, 91, 49, 65 ]
95
[ "91-12=79", "65-49=16", "79+16=95" ]
Current State: 95:[12, 91, 49, 65], Operations: [] Exploring Operation: 91-12=79, Resulting Numbers: [49, 65, 79] Generated Node #2: [49, 65, 79] from Operation: 91-12=79 Current State: 95:[49, 65, 79], Operations: ['91-12=79'] Exploring Operation: 65-49=16, Resulting Numbers: [79, 16] Generated Node #3: [79, 16] from Operation: 65-49=16 Current State: 95:[79, 16], Operations: ['91-12=79', '65-49=16'] Exploring Operation: 79+16=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 96, 16, 30, 6 ]
30
[ "96/16=6", "30+6=36", "36-6=30" ]
Current State: 30:[96, 16, 30, 6], Operations: [] Exploring Operation: 96/16=6, Resulting Numbers: [30, 6, 6] Generated Node #2: [30, 6, 6] from Operation: 96/16=6 Current State: 30:[30, 6, 6], Operations: ['96/16=6'] Exploring Operation: 30+6=36, Resulting Numbers: [36] 36,30 equal: Goal Reached Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 83, 78, 5, 93 ]
28
[ "93-83=10", "5*10=50", "78-50=28" ]
Current State: 28:[83, 78, 5, 93], Operations: [] Exploring Operation: 93-83=10, Resulting Numbers: [78, 5, 10] Generated Node #2: [78, 5, 10] from Operation: 93-83=10 Current State: 28:[78, 5, 10], Operations: ['93-83=10'] Exploring Operation: 5*10=50, Resulting Numbers: [78, 50] Generated Node #3: [78, 50] from Operation: 5*10=50 Current State: 28:[78, 50], Operations: ['93-83=10', '5*10=50'] Exploring Operation: 78-50=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 10, 74, 80, 18 ]
22
[ "10+74=84", "80-18=62", "84-62=22" ]
Current State: 22:[10, 74, 80, 18], Operations: [] Exploring Operation: 10+74=84, Resulting Numbers: [80, 18, 84] Generated Node #2: [80, 18, 84] from Operation: 10+74=84 Current State: 22:[80, 18, 84], Operations: ['10+74=84'] Exploring Operation: 80-18=62, Resulting Numbers: [84, 62] Generated Node #3: [84, 62] from Operation: 80-18=62 Current State: 22:[84, 62], Operations: ['10+74=84', '80-18=62'] Exploring Operation: 84-62=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 85, 94, 53, 28 ]
72
[ "94-85=9", "53+28=81", "81-9=72" ]
Current State: 72:[85, 94, 53, 28], Operations: [] Exploring Operation: 94-85=9, Resulting Numbers: [53, 28, 9] Generated Node #2: [53, 28, 9] from Operation: 94-85=9 Current State: 72:[53, 28, 9], Operations: ['94-85=9'] Exploring Operation: 53+28=81, Resulting Numbers: [9, 81] Generated Node #3: [9, 81] from Operation: 53+28=81 Current State: 72:[9, 81], Operations: ['94-85=9', '53+28=81'] Exploring Operation: 81-9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 69, 58, 38, 11 ]
38
[ "69-58=11", "38+11=49", "49-11=38" ]
Current State: 38:[69, 58, 38, 11], Operations: [] Exploring Operation: 69-58=11, Resulting Numbers: [38, 11, 11] Generated Node #2: [38, 11, 11] from Operation: 69-58=11 Current State: 38:[38, 11, 11], Operations: ['69-58=11'] Exploring Operation: 38+11=49, Resulting Numbers: [49] 49,38 equal: Goal Reached Exploring Operation: 49-11=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 17, 21, 38, 80 ]
80
[ "17+21=38", "38+80=118", "118-38=80" ]
Current State: 80:[17, 21, 38, 80], Operations: [] Exploring Operation: 17+21=38, Resulting Numbers: [38, 80, 38] Generated Node #2: [38, 80, 38] from Operation: 17+21=38 Current State: 80:[38, 80, 38], Operations: ['17+21=38'] Exploring Operation: 38+80=118, Resulting Numbers: [118] 118,80 equal: Goal Reached Exploring Operation: 118-38=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 8, 44, 2, 64 ]
40
[ "8+44=52", "2*52=104", "104-64=40" ]
Current State: 40:[8, 44, 2, 64], Operations: [] Exploring Operation: 8+44=52, Resulting Numbers: [2, 64, 52] Generated Node #2: [2, 64, 52] from Operation: 8+44=52 Current State: 40:[2, 64, 52], Operations: ['8+44=52'] Exploring Operation: 2*52=104, Resulting Numbers: [64, 104] Generated Node #3: [64, 104] from Operation: 2*52=104 Current State: 40:[64, 104], Operations: ['8+44=52', '2*52=104'] Exploring Operation: 104-64=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 47, 82, 82, 20 ]
28
[ "47-20=27", "82/82=1", "27+1=28" ]
Current State: 28:[47, 82, 82, 20], Operations: [] Exploring Operation: 47-20=27, Resulting Numbers: [82, 82, 27] Generated Node #2: [82, 82, 27] from Operation: 47-20=27 Current State: 28:[82, 82, 27], Operations: ['47-20=27'] Exploring Operation: 82/82=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 82/82=1 Current State: 28:[27, 1], Operations: ['47-20=27', '82/82=1'] Exploring Operation: 27+1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 20, 80, 72, 23 ]
76
[ "20+72=92", "92/23=4", "80-4=76" ]
Current State: 76:[20, 80, 72, 23], Operations: [] Exploring Operation: 20+72=92, Resulting Numbers: [80, 23, 92] Generated Node #2: [80, 23, 92] from Operation: 20+72=92 Current State: 76:[80, 23, 92], Operations: ['20+72=92'] Exploring Operation: 92/23=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 92/23=4 Current State: 76:[80, 4], Operations: ['20+72=92', '92/23=4'] Exploring Operation: 80-4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 82, 55, 91, 29 ]
89
[ "82-55=27", "91-29=62", "27+62=89" ]
Current State: 89:[82, 55, 91, 29], Operations: [] Exploring Operation: 82-55=27, Resulting Numbers: [91, 29, 27] Generated Node #2: [91, 29, 27] from Operation: 82-55=27 Current State: 89:[91, 29, 27], Operations: ['82-55=27'] Exploring Operation: 91-29=62, Resulting Numbers: [27, 62] Generated Node #3: [27, 62] from Operation: 91-29=62 Current State: 89:[27, 62], Operations: ['82-55=27', '91-29=62'] Exploring Operation: 27+62=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 6, 49, 66, 2 ]
51
[ "6/2=3", "66-49=17", "3*17=51" ]
Current State: 51:[6, 49, 66, 2], Operations: [] Exploring Operation: 6/2=3, Resulting Numbers: [49, 66, 3] Generated Node #2: [49, 66, 3] from Operation: 6/2=3 Current State: 51:[49, 66, 3], Operations: ['6/2=3'] Exploring Operation: 66-49=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 66-49=17 Current State: 51:[3, 17], Operations: ['6/2=3', '66-49=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 12, 26, 1, 43 ]
80
[ "12+26=38", "43-1=42", "38+42=80" ]
Current State: 80:[12, 26, 1, 43], Operations: [] Exploring Operation: 12+26=38, Resulting Numbers: [1, 43, 38] Generated Node #2: [1, 43, 38] from Operation: 12+26=38 Current State: 80:[1, 43, 38], Operations: ['12+26=38'] Exploring Operation: 43-1=42, Resulting Numbers: [38, 42] Generated Node #3: [38, 42] from Operation: 43-1=42 Current State: 80:[38, 42], Operations: ['12+26=38', '43-1=42'] Exploring Operation: 38+42=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 12, 62, 36, 6 ]
44
[ "12+62=74", "36-6=30", "74-30=44" ]
Current State: 44:[12, 62, 36, 6], Operations: [] Exploring Operation: 12+62=74, Resulting Numbers: [36, 6, 74] Generated Node #2: [36, 6, 74] from Operation: 12+62=74 Current State: 44:[36, 6, 74], Operations: ['12+62=74'] Exploring Operation: 36-6=30, Resulting Numbers: [74, 30] Generated Node #3: [74, 30] from Operation: 36-6=30 Current State: 44:[74, 30], Operations: ['12+62=74', '36-6=30'] Exploring Operation: 74-30=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 78, 49, 65, 37 ]
73
[ "78-49=29", "65+37=102", "102-29=73" ]
Current State: 73:[78, 49, 65, 37], Operations: [] Exploring Operation: 78-49=29, Resulting Numbers: [65, 37, 29] Generated Node #2: [65, 37, 29] from Operation: 78-49=29 Current State: 73:[65, 37, 29], Operations: ['78-49=29'] Exploring Operation: 65+37=102, Resulting Numbers: [29, 102] Generated Node #3: [29, 102] from Operation: 65+37=102 Current State: 73:[29, 102], Operations: ['78-49=29', '65+37=102'] Exploring Operation: 102-29=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 42, 87, 56, 62 ]
84
[ "42*62=2604", "87-56=31", "2604/31=84" ]
Current State: 84:[42, 87, 56, 62], Operations: [] Exploring Operation: 42*62=2604, Resulting Numbers: [87, 56, 2604] Generated Node #2: [87, 56, 2604] from Operation: 42*62=2604 Current State: 84:[87, 56, 2604], Operations: ['42*62=2604'] Exploring Operation: 87-56=31, Resulting Numbers: [2604, 31] Generated Node #3: [2604, 31] from Operation: 87-56=31 Current State: 84:[2604, 31], Operations: ['42*62=2604', '87-56=31'] Exploring Operation: 2604/31=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 12, 48, 7, 8 ]
61
[ "12+48=60", "8-7=1", "60+1=61" ]
Current State: 61:[12, 48, 7, 8], Operations: [] Exploring Operation: 12+48=60, Resulting Numbers: [7, 8, 60] Generated Node #2: [7, 8, 60] from Operation: 12+48=60 Current State: 61:[7, 8, 60], Operations: ['12+48=60'] Exploring Operation: 8-7=1, Resulting Numbers: [60, 1] Generated Node #3: [60, 1] from Operation: 8-7=1 Current State: 61:[60, 1], Operations: ['12+48=60', '8-7=1'] Exploring Operation: 60+1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 19, 55, 7, 14 ]
92
[ "19*7=133", "55-14=41", "133-41=92" ]
Current State: 92:[19, 55, 7, 14], Operations: [] Exploring Operation: 19*7=133, Resulting Numbers: [55, 14, 133] Generated Node #2: [55, 14, 133] from Operation: 19*7=133 Current State: 92:[55, 14, 133], Operations: ['19*7=133'] Exploring Operation: 55-14=41, Resulting Numbers: [133, 41] Generated Node #3: [133, 41] from Operation: 55-14=41 Current State: 92:[133, 41], Operations: ['19*7=133', '55-14=41'] Exploring Operation: 133-41=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 29, 63, 31, 34 ]
30
[ "63-29=34", "34/34=1", "31-1=30" ]
Current State: 30:[29, 63, 31, 34], Operations: [] Exploring Operation: 63-29=34, Resulting Numbers: [31, 34, 34] Generated Node #2: [31, 34, 34] from Operation: 63-29=34 Current State: 30:[31, 34, 34], Operations: ['63-29=34'] Exploring Operation: 34/34=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 34/34=1 Current State: 30:[31, 1], Operations: ['63-29=34', '34/34=1'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 40, 32, 71, 25 ]
12
[ "40-32=8", "71+25=96", "96/8=12" ]
Current State: 12:[40, 32, 71, 25], Operations: [] Exploring Operation: 40-32=8, Resulting Numbers: [71, 25, 8] Generated Node #2: [71, 25, 8] from Operation: 40-32=8 Current State: 12:[71, 25, 8], Operations: ['40-32=8'] Exploring Operation: 71+25=96, Resulting Numbers: [8, 96] Generated Node #3: [8, 96] from Operation: 71+25=96 Current State: 12:[8, 96], Operations: ['40-32=8', '71+25=96'] Exploring Operation: 96/8=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 12, 90, 28, 40 ]
10
[ "90-12=78", "28+40=68", "78-68=10" ]
Current State: 10:[12, 90, 28, 40], Operations: [] Exploring Operation: 90-12=78, Resulting Numbers: [28, 40, 78] Generated Node #2: [28, 40, 78] from Operation: 90-12=78 Current State: 10:[28, 40, 78], Operations: ['90-12=78'] Exploring Operation: 28+40=68, Resulting Numbers: [78, 68] Generated Node #3: [78, 68] from Operation: 28+40=68 Current State: 10:[78, 68], Operations: ['90-12=78', '28+40=68'] Exploring Operation: 78-68=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 42, 10, 96, 6 ]
99
[ "42/6=7", "10+96=106", "106-7=99" ]
Current State: 99:[42, 10, 96, 6], Operations: [] Exploring Operation: 42/6=7, Resulting Numbers: [10, 96, 7] Generated Node #2: [10, 96, 7] from Operation: 42/6=7 Current State: 99:[10, 96, 7], Operations: ['42/6=7'] Exploring Operation: 10+96=106, Resulting Numbers: [7, 106] Generated Node #3: [7, 106] from Operation: 10+96=106 Current State: 99:[7, 106], Operations: ['42/6=7', '10+96=106'] Exploring Operation: 106-7=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 40, 94, 33, 95 ]
74
[ "94-40=54", "33+95=128", "128-54=74" ]
Current State: 74:[40, 94, 33, 95], Operations: [] Exploring Operation: 94-40=54, Resulting Numbers: [33, 95, 54] Generated Node #2: [33, 95, 54] from Operation: 94-40=54 Current State: 74:[33, 95, 54], Operations: ['94-40=54'] Exploring Operation: 33+95=128, Resulting Numbers: [54, 128] Generated Node #3: [54, 128] from Operation: 33+95=128 Current State: 74:[54, 128], Operations: ['94-40=54', '33+95=128'] Exploring Operation: 128-54=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 4, 77, 8, 56 ]
33
[ "4+77=81", "56-8=48", "81-48=33" ]
Current State: 33:[4, 77, 8, 56], Operations: [] Exploring Operation: 4+77=81, Resulting Numbers: [8, 56, 81] Generated Node #2: [8, 56, 81] from Operation: 4+77=81 Current State: 33:[8, 56, 81], Operations: ['4+77=81'] Exploring Operation: 56-8=48, Resulting Numbers: [81, 48] Generated Node #3: [81, 48] from Operation: 56-8=48 Current State: 33:[81, 48], Operations: ['4+77=81', '56-8=48'] Exploring Operation: 81-48=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 66, 91, 53, 99 ]
92
[ "66-53=13", "91/13=7", "99-7=92" ]
Current State: 92:[66, 91, 53, 99], Operations: [] Exploring Operation: 66-53=13, Resulting Numbers: [91, 99, 13] Generated Node #2: [91, 99, 13] from Operation: 66-53=13 Current State: 92:[91, 99, 13], Operations: ['66-53=13'] Exploring Operation: 91/13=7, Resulting Numbers: [99, 7] Generated Node #3: [99, 7] from Operation: 91/13=7 Current State: 92:[99, 7], Operations: ['66-53=13', '91/13=7'] Exploring Operation: 99-7=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 94, 94, 4, 52 ]
55
[ "94/94=1", "4+52=56", "56-1=55" ]
Current State: 55:[94, 94, 4, 52], Operations: [] Exploring Operation: 94/94=1, Resulting Numbers: [4, 52, 1] Generated Node #2: [4, 52, 1] from Operation: 94/94=1 Current State: 55:[4, 52, 1], Operations: ['94/94=1'] Exploring Operation: 4+52=56, Resulting Numbers: [1, 56] Generated Node #3: [1, 56] from Operation: 4+52=56 Current State: 55:[1, 56], Operations: ['94/94=1', '4+52=56'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 35, 71, 58, 22 ]
71
[ "58-35=23", "23-22=1", "71*1=71" ]
Current State: 71:[35, 71, 58, 22], Operations: [] Exploring Operation: 58-35=23, Resulting Numbers: [71, 22, 23] Generated Node #2: [71, 22, 23] from Operation: 58-35=23 Current State: 71:[71, 22, 23], Operations: ['58-35=23'] Exploring Operation: 23-22=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 23-22=1 Current State: 71:[71, 1], Operations: ['58-35=23', '23-22=1'] Exploring Operation: 71*1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 96, 2, 87, 45 ]
34
[ "96+2=98", "87+45=132", "132-98=34" ]
Current State: 34:[96, 2, 87, 45], Operations: [] Exploring Operation: 96+2=98, Resulting Numbers: [87, 45, 98] Generated Node #2: [87, 45, 98] from Operation: 96+2=98 Current State: 34:[87, 45, 98], Operations: ['96+2=98'] Exploring Operation: 87+45=132, Resulting Numbers: [98, 132] Generated Node #3: [98, 132] from Operation: 87+45=132 Current State: 34:[98, 132], Operations: ['96+2=98', '87+45=132'] Exploring Operation: 132-98=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 80, 51, 44, 70 ]
85
[ "80-51=29", "44+70=114", "114-29=85" ]
Current State: 85:[80, 51, 44, 70], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [44, 70, 29] Generated Node #2: [44, 70, 29] from Operation: 80-51=29 Current State: 85:[44, 70, 29], Operations: ['80-51=29'] Exploring Operation: 44+70=114, Resulting Numbers: [29, 114] Generated Node #3: [29, 114] from Operation: 44+70=114 Current State: 85:[29, 114], Operations: ['80-51=29', '44+70=114'] Exploring Operation: 114-29=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 51, 2, 89, 7 ]
90
[ "89-51=38", "7+38=45", "2*45=90" ]
Current State: 90:[51, 2, 89, 7], Operations: [] Exploring Operation: 89-51=38, Resulting Numbers: [2, 7, 38] Generated Node #2: [2, 7, 38] from Operation: 89-51=38 Current State: 90:[2, 7, 38], Operations: ['89-51=38'] Exploring Operation: 7+38=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 7+38=45 Current State: 90:[2, 45], Operations: ['89-51=38', '7+38=45'] Exploring Operation: 2*45=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 51, 2, 28, 81 ]
35
[ "51-28=23", "2*23=46", "81-46=35" ]
Current State: 35:[51, 2, 28, 81], Operations: [] Exploring Operation: 51-28=23, Resulting Numbers: [2, 81, 23] Generated Node #2: [2, 81, 23] from Operation: 51-28=23 Current State: 35:[2, 81, 23], Operations: ['51-28=23'] Exploring Operation: 2*23=46, Resulting Numbers: [81, 46] Generated Node #3: [81, 46] from Operation: 2*23=46 Current State: 35:[81, 46], Operations: ['51-28=23', '2*23=46'] Exploring Operation: 81-46=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 29, 5, 61, 26 ]
11
[ "29-5=24", "61-26=35", "35-24=11" ]
Current State: 11:[29, 5, 61, 26], Operations: [] Exploring Operation: 29-5=24, Resulting Numbers: [61, 26, 24] Generated Node #2: [61, 26, 24] from Operation: 29-5=24 Current State: 11:[61, 26, 24], Operations: ['29-5=24'] Exploring Operation: 61-26=35, Resulting Numbers: [24, 35] Generated Node #3: [24, 35] from Operation: 61-26=35 Current State: 11:[24, 35], Operations: ['29-5=24', '61-26=35'] Exploring Operation: 35-24=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 78, 24, 57, 90 ]
39
[ "78*57=4446", "24+90=114", "4446/114=39" ]
Current State: 39:[78, 24, 57, 90], Operations: [] Exploring Operation: 78*57=4446, Resulting Numbers: [24, 90, 4446] Generated Node #2: [24, 90, 4446] from Operation: 78*57=4446 Current State: 39:[24, 90, 4446], Operations: ['78*57=4446'] Exploring Operation: 24+90=114, Resulting Numbers: [4446, 114] Generated Node #3: [4446, 114] from Operation: 24+90=114 Current State: 39:[4446, 114], Operations: ['78*57=4446', '24+90=114'] Exploring Operation: 4446/114=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 58, 82, 6, 69 ]
51
[ "82-58=24", "6+69=75", "75-24=51" ]
Current State: 51:[58, 82, 6, 69], Operations: [] Exploring Operation: 82-58=24, Resulting Numbers: [6, 69, 24] Generated Node #2: [6, 69, 24] from Operation: 82-58=24 Current State: 51:[6, 69, 24], Operations: ['82-58=24'] Exploring Operation: 6+69=75, Resulting Numbers: [24, 75] Generated Node #3: [24, 75] from Operation: 6+69=75 Current State: 51:[24, 75], Operations: ['82-58=24', '6+69=75'] Exploring Operation: 75-24=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 25, 77, 88, 44 ]
100
[ "25+77=102", "88/44=2", "102-2=100" ]
Current State: 100:[25, 77, 88, 44], Operations: [] Exploring Operation: 25+77=102, Resulting Numbers: [88, 44, 102] Generated Node #2: [88, 44, 102] from Operation: 25+77=102 Current State: 100:[88, 44, 102], Operations: ['25+77=102'] Exploring Operation: 88/44=2, Resulting Numbers: [102, 2] Generated Node #3: [102, 2] from Operation: 88/44=2 Current State: 100:[102, 2], Operations: ['25+77=102', '88/44=2'] Exploring Operation: 102-2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 68, 96, 16, 42 ]
94
[ "68+16=84", "84/42=2", "96-2=94" ]
Current State: 94:[68, 96, 16, 42], Operations: [] Exploring Operation: 68+16=84, Resulting Numbers: [96, 42, 84] Generated Node #2: [96, 42, 84] from Operation: 68+16=84 Current State: 94:[96, 42, 84], Operations: ['68+16=84'] Exploring Operation: 84/42=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 84/42=2 Current State: 94:[96, 2], Operations: ['68+16=84', '84/42=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 64, 26, 31, 76 ]
28
[ "64+76=140", "31-26=5", "140/5=28" ]
Current State: 28:[64, 26, 31, 76], Operations: [] Exploring Operation: 64+76=140, Resulting Numbers: [26, 31, 140] Generated Node #2: [26, 31, 140] from Operation: 64+76=140 Current State: 28:[26, 31, 140], Operations: ['64+76=140'] Exploring Operation: 31-26=5, Resulting Numbers: [140, 5] Generated Node #3: [140, 5] from Operation: 31-26=5 Current State: 28:[140, 5], Operations: ['64+76=140', '31-26=5'] Exploring Operation: 140/5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 72, 42, 52, 54 ]
32
[ "72-42=30", "54-52=2", "30+2=32" ]
Current State: 32:[72, 42, 52, 54], Operations: [] Exploring Operation: 72-42=30, Resulting Numbers: [52, 54, 30] Generated Node #2: [52, 54, 30] from Operation: 72-42=30 Current State: 32:[52, 54, 30], Operations: ['72-42=30'] Exploring Operation: 54-52=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 54-52=2 Current State: 32:[30, 2], Operations: ['72-42=30', '54-52=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 37, 4, 21, 10 ]
18
[ "37+21=58", "4*10=40", "58-40=18" ]
Current State: 18:[37, 4, 21, 10], Operations: [] Exploring Operation: 37+21=58, Resulting Numbers: [4, 10, 58] Generated Node #2: [4, 10, 58] from Operation: 37+21=58 Current State: 18:[4, 10, 58], Operations: ['37+21=58'] Exploring Operation: 4*10=40, Resulting Numbers: [58, 40] Generated Node #3: [58, 40] from Operation: 4*10=40 Current State: 18:[58, 40], Operations: ['37+21=58', '4*10=40'] Exploring Operation: 58-40=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 64, 48, 96, 18 ]
26
[ "64*18=1152", "96+1152=1248", "1248/48=26" ]
Current State: 26:[64, 48, 96, 18], Operations: [] Exploring Operation: 64*18=1152, Resulting Numbers: [48, 96, 1152] Generated Node #2: [48, 96, 1152] from Operation: 64*18=1152 Current State: 26:[48, 96, 1152], Operations: ['64*18=1152'] Exploring Operation: 96+1152=1248, Resulting Numbers: [48, 1248] Generated Node #3: [48, 1248] from Operation: 96+1152=1248 Current State: 26:[48, 1248], Operations: ['64*18=1152', '96+1152=1248'] Exploring Operation: 1248/48=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 64, 42, 40, 9 ]
41
[ "42-40=2", "64/2=32", "9+32=41" ]
Current State: 41:[64, 42, 40, 9], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [64, 9, 2] Generated Node #2: [64, 9, 2] from Operation: 42-40=2 Current State: 41:[64, 9, 2], Operations: ['42-40=2'] Exploring Operation: 64/2=32, Resulting Numbers: [9, 32] Generated Node #3: [9, 32] from Operation: 64/2=32 Current State: 41:[9, 32], Operations: ['42-40=2', '64/2=32'] Exploring Operation: 9+32=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 6, 57, 42 ]
73
[ "54+42=96", "96/6=16", "57+16=73" ]
Current State: 73:[54, 6, 57, 42], Operations: [] Exploring Operation: 54+42=96, Resulting Numbers: [6, 57, 96] Generated Node #2: [6, 57, 96] from Operation: 54+42=96 Current State: 73:[6, 57, 96], Operations: ['54+42=96'] Exploring Operation: 96/6=16, Resulting Numbers: [57, 16] Generated Node #3: [57, 16] from Operation: 96/6=16 Current State: 73:[57, 16], Operations: ['54+42=96', '96/6=16'] Exploring Operation: 57+16=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 24, 3, 39, 19 ]
28
[ "24/3=8", "39-19=20", "8+20=28" ]
Current State: 28:[24, 3, 39, 19], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [39, 19, 8] Generated Node #2: [39, 19, 8] from Operation: 24/3=8 Current State: 28:[39, 19, 8], Operations: ['24/3=8'] Exploring Operation: 39-19=20, Resulting Numbers: [8, 20] Generated Node #3: [8, 20] from Operation: 39-19=20 Current State: 28:[8, 20], Operations: ['24/3=8', '39-19=20'] Exploring Operation: 8+20=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 52, 23, 15, 12 ]
48
[ "52+23=75", "15+12=27", "75-27=48" ]
Current State: 48:[52, 23, 15, 12], Operations: [] Exploring Operation: 52+23=75, Resulting Numbers: [15, 12, 75] Generated Node #2: [15, 12, 75] from Operation: 52+23=75 Current State: 48:[15, 12, 75], Operations: ['52+23=75'] Exploring Operation: 15+12=27, Resulting Numbers: [75, 27] Generated Node #3: [75, 27] from Operation: 15+12=27 Current State: 48:[75, 27], Operations: ['52+23=75', '15+12=27'] Exploring Operation: 75-27=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 50, 86, 50, 74 ]
60
[ "86-50=36", "74-50=24", "36+24=60" ]
Current State: 60:[50, 86, 50, 74], Operations: [] Exploring Operation: 86-50=36, Resulting Numbers: [74, 36] Generated Node #2: [74, 36] from Operation: 86-50=36 Current State: 60:[74, 36], Operations: ['86-50=36'] Exploring Operation: 74-50=24, Resulting Numbers: [36, 24] Generated Node #3: [36, 24] from Operation: 74-50=24 Current State: 60:[36, 24], Operations: ['86-50=36', '74-50=24'] Exploring Operation: 36+24=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 93, 68, 64, 45 ]
84
[ "93-68=25", "64+45=109", "109-25=84" ]
Current State: 84:[93, 68, 64, 45], Operations: [] Exploring Operation: 93-68=25, Resulting Numbers: [64, 45, 25] Generated Node #2: [64, 45, 25] from Operation: 93-68=25 Current State: 84:[64, 45, 25], Operations: ['93-68=25'] Exploring Operation: 64+45=109, Resulting Numbers: [25, 109] Generated Node #3: [25, 109] from Operation: 64+45=109 Current State: 84:[25, 109], Operations: ['93-68=25', '64+45=109'] Exploring Operation: 109-25=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 5, 99, 37, 31 ]
93
[ "5*31=155", "99-37=62", "155-62=93" ]
Current State: 93:[5, 99, 37, 31], Operations: [] Exploring Operation: 5*31=155, Resulting Numbers: [99, 37, 155] Generated Node #2: [99, 37, 155] from Operation: 5*31=155 Current State: 93:[99, 37, 155], Operations: ['5*31=155'] Exploring Operation: 99-37=62, Resulting Numbers: [155, 62] Generated Node #3: [155, 62] from Operation: 99-37=62 Current State: 93:[155, 62], Operations: ['5*31=155', '99-37=62'] Exploring Operation: 155-62=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 10, 32, 13, 12 ]
68
[ "13-10=3", "12*3=36", "32+36=68" ]
Current State: 68:[10, 32, 13, 12], Operations: [] Exploring Operation: 13-10=3, Resulting Numbers: [32, 12, 3] Generated Node #2: [32, 12, 3] from Operation: 13-10=3 Current State: 68:[32, 12, 3], Operations: ['13-10=3'] Exploring Operation: 12*3=36, Resulting Numbers: [32, 36] Generated Node #3: [32, 36] from Operation: 12*3=36 Current State: 68:[32, 36], Operations: ['13-10=3', '12*3=36'] Exploring Operation: 32+36=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 27, 71, 68, 43 ]
69
[ "71-27=44", "68-43=25", "44+25=69" ]
Current State: 69:[27, 71, 68, 43], Operations: [] Exploring Operation: 71-27=44, Resulting Numbers: [68, 43, 44] Generated Node #2: [68, 43, 44] from Operation: 71-27=44 Current State: 69:[68, 43, 44], Operations: ['71-27=44'] Exploring Operation: 68-43=25, Resulting Numbers: [44, 25] Generated Node #3: [44, 25] from Operation: 68-43=25 Current State: 69:[44, 25], Operations: ['71-27=44', '68-43=25'] Exploring Operation: 44+25=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 35, 47, 76, 39 ]
94
[ "76-35=41", "41-39=2", "47*2=94" ]
Current State: 94:[35, 47, 76, 39], Operations: [] Exploring Operation: 76-35=41, Resulting Numbers: [47, 39, 41] Generated Node #2: [47, 39, 41] from Operation: 76-35=41 Current State: 94:[47, 39, 41], Operations: ['76-35=41'] Exploring Operation: 41-39=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 41-39=2 Current State: 94:[47, 2], Operations: ['76-35=41', '41-39=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 2, 61, 92, 74 ]
12
[ "92-61=31", "2*31=62", "74-62=12" ]
Current State: 12:[2, 61, 92, 74], Operations: [] Exploring Operation: 92-61=31, Resulting Numbers: [2, 74, 31] Generated Node #2: [2, 74, 31] from Operation: 92-61=31 Current State: 12:[2, 74, 31], Operations: ['92-61=31'] Exploring Operation: 2*31=62, Resulting Numbers: [74, 62] Generated Node #3: [74, 62] from Operation: 2*31=62 Current State: 12:[74, 62], Operations: ['92-61=31', '2*31=62'] Exploring Operation: 74-62=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 1, 65, 86, 38 ]
16
[ "65-1=64", "86-38=48", "64-48=16" ]
Current State: 16:[1, 65, 86, 38], Operations: [] Exploring Operation: 65-1=64, Resulting Numbers: [86, 38, 64] Generated Node #2: [86, 38, 64] from Operation: 65-1=64 Current State: 16:[86, 38, 64], Operations: ['65-1=64'] Exploring Operation: 86-38=48, Resulting Numbers: [64, 48] Generated Node #3: [64, 48] from Operation: 86-38=48 Current State: 16:[64, 48], Operations: ['65-1=64', '86-38=48'] Exploring Operation: 64-48=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 68, 17, 5, 53 ]
73
[ "68/17=4", "5*4=20", "53+20=73" ]
Current State: 73:[68, 17, 5, 53], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [5, 53, 4] Generated Node #2: [5, 53, 4] from Operation: 68/17=4 Current State: 73:[5, 53, 4], Operations: ['68/17=4'] Exploring Operation: 5*4=20, Resulting Numbers: [53, 20] Generated Node #3: [53, 20] from Operation: 5*4=20 Current State: 73:[53, 20], Operations: ['68/17=4', '5*4=20'] Exploring Operation: 53+20=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 3, 53, 99, 41 ]
95
[ "53-41=12", "12/3=4", "99-4=95" ]
Current State: 95:[3, 53, 99, 41], Operations: [] Exploring Operation: 53-41=12, Resulting Numbers: [3, 99, 12] Generated Node #2: [3, 99, 12] from Operation: 53-41=12 Current State: 95:[3, 99, 12], Operations: ['53-41=12'] Exploring Operation: 12/3=4, Resulting Numbers: [99, 4] Generated Node #3: [99, 4] from Operation: 12/3=4 Current State: 95:[99, 4], Operations: ['53-41=12', '12/3=4'] Exploring Operation: 99-4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 7, 34, 47, 10 ]
21
[ "47-34=13", "13-10=3", "7*3=21" ]
Current State: 21:[7, 34, 47, 10], Operations: [] Exploring Operation: 47-34=13, Resulting Numbers: [7, 10, 13] Generated Node #2: [7, 10, 13] from Operation: 47-34=13 Current State: 21:[7, 10, 13], Operations: ['47-34=13'] Exploring Operation: 13-10=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 13-10=3 Current State: 21:[7, 3], Operations: ['47-34=13', '13-10=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 53, 54, 81, 9 ]
72
[ "54-53=1", "81-9=72", "1*72=72" ]
Current State: 72:[53, 54, 81, 9], Operations: [] Exploring Operation: 54-53=1, Resulting Numbers: [81, 9, 1] Generated Node #2: [81, 9, 1] from Operation: 54-53=1 Current State: 72:[81, 9, 1], Operations: ['54-53=1'] Exploring Operation: 81-9=72, Resulting Numbers: [1, 72] Generated Node #3: [1, 72] from Operation: 81-9=72 Current State: 72:[1, 72], Operations: ['54-53=1', '81-9=72'] Exploring Operation: 1*72=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 54, 62, 95, 56 ]
77
[ "54+62=116", "95-56=39", "116-39=77" ]
Current State: 77:[54, 62, 95, 56], Operations: [] Exploring Operation: 54+62=116, Resulting Numbers: [95, 56, 116] Generated Node #2: [95, 56, 116] from Operation: 54+62=116 Current State: 77:[95, 56, 116], Operations: ['54+62=116'] Exploring Operation: 95-56=39, Resulting Numbers: [116, 39] Generated Node #3: [116, 39] from Operation: 95-56=39 Current State: 77:[116, 39], Operations: ['54+62=116', '95-56=39'] Exploring Operation: 116-39=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 79, 58, 2, 55 ]
46
[ "79-55=24", "24/2=12", "58-12=46" ]
Current State: 46:[79, 58, 2, 55], Operations: [] Exploring Operation: 79-55=24, Resulting Numbers: [58, 2, 24] Generated Node #2: [58, 2, 24] from Operation: 79-55=24 Current State: 46:[58, 2, 24], Operations: ['79-55=24'] Exploring Operation: 24/2=12, Resulting Numbers: [58, 12] Generated Node #3: [58, 12] from Operation: 24/2=12 Current State: 46:[58, 12], Operations: ['79-55=24', '24/2=12'] Exploring Operation: 58-12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 22, 80, 26, 65 ]
45
[ "26-22=4", "80/4=20", "65-20=45" ]
Current State: 45:[22, 80, 26, 65], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [80, 65, 4] Generated Node #2: [80, 65, 4] from Operation: 26-22=4 Current State: 45:[80, 65, 4], Operations: ['26-22=4'] Exploring Operation: 80/4=20, Resulting Numbers: [65, 20] Generated Node #3: [65, 20] from Operation: 80/4=20 Current State: 45:[65, 20], Operations: ['26-22=4', '80/4=20'] Exploring Operation: 65-20=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 56, 40, 62, 25 ]
71
[ "56-40=16", "62+25=87", "87-16=71" ]
Current State: 71:[56, 40, 62, 25], Operations: [] Exploring Operation: 56-40=16, Resulting Numbers: [62, 25, 16] Generated Node #2: [62, 25, 16] from Operation: 56-40=16 Current State: 71:[62, 25, 16], Operations: ['56-40=16'] Exploring Operation: 62+25=87, Resulting Numbers: [16, 87] Generated Node #3: [16, 87] from Operation: 62+25=87 Current State: 71:[16, 87], Operations: ['56-40=16', '62+25=87'] Exploring Operation: 87-16=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 28, 26, 68, 4 ]
37
[ "28+26=54", "68/4=17", "54-17=37" ]
Current State: 37:[28, 26, 68, 4], Operations: [] Exploring Operation: 28+26=54, Resulting Numbers: [68, 4, 54] Generated Node #2: [68, 4, 54] from Operation: 28+26=54 Current State: 37:[68, 4, 54], Operations: ['28+26=54'] Exploring Operation: 68/4=17, Resulting Numbers: [54, 17] Generated Node #3: [54, 17] from Operation: 68/4=17 Current State: 37:[54, 17], Operations: ['28+26=54', '68/4=17'] Exploring Operation: 54-17=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 7, 6, 28, 85 ]
90
[ "85-7=78", "6*28=168", "168-78=90" ]
Current State: 90:[7, 6, 28, 85], Operations: [] Exploring Operation: 85-7=78, Resulting Numbers: [6, 28, 78] Generated Node #2: [6, 28, 78] from Operation: 85-7=78 Current State: 90:[6, 28, 78], Operations: ['85-7=78'] Exploring Operation: 6*28=168, Resulting Numbers: [78, 168] Generated Node #3: [78, 168] from Operation: 6*28=168 Current State: 90:[78, 168], Operations: ['85-7=78', '6*28=168'] Exploring Operation: 168-78=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 5, 71, 40, 3 ]
46
[ "5*3=15", "71-40=31", "15+31=46" ]
Current State: 46:[5, 71, 40, 3], Operations: [] Exploring Operation: 5*3=15, Resulting Numbers: [71, 40, 15] Generated Node #2: [71, 40, 15] from Operation: 5*3=15 Current State: 46:[71, 40, 15], Operations: ['5*3=15'] Exploring Operation: 71-40=31, Resulting Numbers: [15, 31] Generated Node #3: [15, 31] from Operation: 71-40=31 Current State: 46:[15, 31], Operations: ['5*3=15', '71-40=31'] Exploring Operation: 15+31=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 21, 80, 3, 48 ]
89
[ "48-21=27", "27/3=9", "80+9=89" ]
Current State: 89:[21, 80, 3, 48], Operations: [] Exploring Operation: 48-21=27, Resulting Numbers: [80, 3, 27] Generated Node #2: [80, 3, 27] from Operation: 48-21=27 Current State: 89:[80, 3, 27], Operations: ['48-21=27'] Exploring Operation: 27/3=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 27/3=9 Current State: 89:[80, 9], Operations: ['48-21=27', '27/3=9'] Exploring Operation: 80+9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 38, 83, 29, 31 ]
32
[ "83+31=114", "114/38=3", "29+3=32" ]
Current State: 32:[38, 83, 29, 31], Operations: [] Exploring Operation: 83+31=114, Resulting Numbers: [38, 29, 114] Generated Node #2: [38, 29, 114] from Operation: 83+31=114 Current State: 32:[38, 29, 114], Operations: ['83+31=114'] Exploring Operation: 114/38=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 114/38=3 Current State: 32:[29, 3], Operations: ['83+31=114', '114/38=3'] Exploring Operation: 29+3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 31, 2, 93, 43 ]
81
[ "93-31=62", "2*62=124", "124-43=81" ]
Current State: 81:[31, 2, 93, 43], Operations: [] Exploring Operation: 93-31=62, Resulting Numbers: [2, 43, 62] Generated Node #2: [2, 43, 62] from Operation: 93-31=62 Current State: 81:[2, 43, 62], Operations: ['93-31=62'] Exploring Operation: 2*62=124, Resulting Numbers: [43, 124] Generated Node #3: [43, 124] from Operation: 2*62=124 Current State: 81:[43, 124], Operations: ['93-31=62', '2*62=124'] Exploring Operation: 124-43=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 97, 63, 49, 56 ]
71
[ "97-63=34", "49+56=105", "105-34=71" ]
Current State: 71:[97, 63, 49, 56], Operations: [] Exploring Operation: 97-63=34, Resulting Numbers: [49, 56, 34] Generated Node #2: [49, 56, 34] from Operation: 97-63=34 Current State: 71:[49, 56, 34], Operations: ['97-63=34'] Exploring Operation: 49+56=105, Resulting Numbers: [34, 105] Generated Node #3: [34, 105] from Operation: 49+56=105 Current State: 71:[34, 105], Operations: ['97-63=34', '49+56=105'] Exploring Operation: 105-34=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 22, 34, 76, 27 ]
17
[ "76-22=54", "34*27=918", "918/54=17" ]
Current State: 17:[22, 34, 76, 27], Operations: [] Exploring Operation: 76-22=54, Resulting Numbers: [34, 27, 54] Generated Node #2: [34, 27, 54] from Operation: 76-22=54 Current State: 17:[34, 27, 54], Operations: ['76-22=54'] Exploring Operation: 34*27=918, Resulting Numbers: [54, 918] Generated Node #3: [54, 918] from Operation: 34*27=918 Current State: 17:[54, 918], Operations: ['76-22=54', '34*27=918'] Exploring Operation: 918/54=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 96, 91, 37, 26 ]
55
[ "96-91=5", "37-26=11", "5*11=55" ]
Current State: 55:[96, 91, 37, 26], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [37, 26, 5] Generated Node #2: [37, 26, 5] from Operation: 96-91=5 Current State: 55:[37, 26, 5], Operations: ['96-91=5'] Exploring Operation: 37-26=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 37-26=11 Current State: 55:[5, 11], Operations: ['96-91=5', '37-26=11'] Exploring Operation: 5*11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 60, 43, 50, 2 ]
76
[ "60-50=10", "43*2=86", "86-10=76" ]
Current State: 76:[60, 43, 50, 2], Operations: [] Exploring Operation: 60-50=10, Resulting Numbers: [43, 2, 10] Generated Node #2: [43, 2, 10] from Operation: 60-50=10 Current State: 76:[43, 2, 10], Operations: ['60-50=10'] Exploring Operation: 43*2=86, Resulting Numbers: [10, 86] Generated Node #3: [10, 86] from Operation: 43*2=86 Current State: 76:[10, 86], Operations: ['60-50=10', '43*2=86'] Exploring Operation: 86-10=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 7, 15, 53, 6 ]
38
[ "7-6=1", "53-15=38", "1*38=38" ]
Current State: 38:[7, 15, 53, 6], Operations: [] Exploring Operation: 7-6=1, Resulting Numbers: [15, 53, 1] Generated Node #2: [15, 53, 1] from Operation: 7-6=1 Current State: 38:[15, 53, 1], Operations: ['7-6=1'] Exploring Operation: 53-15=38, Resulting Numbers: [1, 38] Generated Node #3: [1, 38] from Operation: 53-15=38 Current State: 38:[1, 38], Operations: ['7-6=1', '53-15=38'] Exploring Operation: 1*38=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 40, 16, 18, 59 ]
53
[ "40-16=24", "18+59=77", "77-24=53" ]
Current State: 53:[40, 16, 18, 59], Operations: [] Exploring Operation: 40-16=24, Resulting Numbers: [18, 59, 24] Generated Node #2: [18, 59, 24] from Operation: 40-16=24 Current State: 53:[18, 59, 24], Operations: ['40-16=24'] Exploring Operation: 18+59=77, Resulting Numbers: [24, 77] Generated Node #3: [24, 77] from Operation: 18+59=77 Current State: 53:[24, 77], Operations: ['40-16=24', '18+59=77'] Exploring Operation: 77-24=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 72, 7, 75, 76 ]
64
[ "72-7=65", "76-75=1", "65-1=64" ]
Current State: 64:[72, 7, 75, 76], Operations: [] Exploring Operation: 72-7=65, Resulting Numbers: [75, 76, 65] Generated Node #2: [75, 76, 65] from Operation: 72-7=65 Current State: 64:[75, 76, 65], Operations: ['72-7=65'] Exploring Operation: 76-75=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 76-75=1 Current State: 64:[65, 1], Operations: ['72-7=65', '76-75=1'] Exploring Operation: 65-1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 35, 50, 91, 22 ]
54
[ "50-35=15", "91-22=69", "69-15=54" ]
Current State: 54:[35, 50, 91, 22], Operations: [] Exploring Operation: 50-35=15, Resulting Numbers: [91, 22, 15] Generated Node #2: [91, 22, 15] from Operation: 50-35=15 Current State: 54:[91, 22, 15], Operations: ['50-35=15'] Exploring Operation: 91-22=69, Resulting Numbers: [15, 69] Generated Node #3: [15, 69] from Operation: 91-22=69 Current State: 54:[15, 69], Operations: ['50-35=15', '91-22=69'] Exploring Operation: 69-15=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 47, 60, 40, 98 ]
31
[ "47+60=107", "40+98=138", "138-107=31" ]
Current State: 31:[47, 60, 40, 98], Operations: [] Exploring Operation: 47+60=107, Resulting Numbers: [40, 98, 107] Generated Node #2: [40, 98, 107] from Operation: 47+60=107 Current State: 31:[40, 98, 107], Operations: ['47+60=107'] Exploring Operation: 40+98=138, Resulting Numbers: [107, 138] Generated Node #3: [107, 138] from Operation: 40+98=138 Current State: 31:[107, 138], Operations: ['47+60=107', '40+98=138'] Exploring Operation: 138-107=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 66, 50, 44, 29 ]
40
[ "66+50=116", "116/29=4", "44-4=40" ]
Current State: 40:[66, 50, 44, 29], Operations: [] Exploring Operation: 66+50=116, Resulting Numbers: [44, 29, 116] Generated Node #2: [44, 29, 116] from Operation: 66+50=116 Current State: 40:[44, 29, 116], Operations: ['66+50=116'] Exploring Operation: 116/29=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 116/29=4 Current State: 40:[44, 4], Operations: ['66+50=116', '116/29=4'] Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 2, 2, 55, 64 ]
22
[ "55-2=53", "64-53=11", "2*11=22" ]
Current State: 22:[2, 2, 55, 64], Operations: [] Exploring Operation: 55-2=53, Resulting Numbers: [64, 53] Generated Node #2: [64, 53] from Operation: 55-2=53 Current State: 22:[64, 53], Operations: ['55-2=53'] Exploring Operation: 64-53=11, Resulting Numbers: [11] 11,22 equal: Goal Reached Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 34, 47, 73, 62 ]
54
[ "34+47=81", "73+62=135", "135-81=54" ]
Current State: 54:[34, 47, 73, 62], Operations: [] Exploring Operation: 34+47=81, Resulting Numbers: [73, 62, 81] Generated Node #2: [73, 62, 81] from Operation: 34+47=81 Current State: 54:[73, 62, 81], Operations: ['34+47=81'] Exploring Operation: 73+62=135, Resulting Numbers: [81, 135] Generated Node #3: [81, 135] from Operation: 73+62=135 Current State: 54:[81, 135], Operations: ['34+47=81', '73+62=135'] Exploring Operation: 135-81=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 22, 77, 28, 10 ]
63
[ "77*10=770", "770/22=35", "28+35=63" ]
Current State: 63:[22, 77, 28, 10], Operations: [] Exploring Operation: 77*10=770, Resulting Numbers: [22, 28, 770] Generated Node #2: [22, 28, 770] from Operation: 77*10=770 Current State: 63:[22, 28, 770], Operations: ['77*10=770'] Exploring Operation: 770/22=35, Resulting Numbers: [28, 35] Generated Node #3: [28, 35] from Operation: 770/22=35 Current State: 63:[28, 35], Operations: ['77*10=770', '770/22=35'] Exploring Operation: 28+35=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 16, 30, 59, 93 ]
20
[ "30-16=14", "93-59=34", "34-14=20" ]
Current State: 20:[16, 30, 59, 93], Operations: [] Exploring Operation: 30-16=14, Resulting Numbers: [59, 93, 14] Generated Node #2: [59, 93, 14] from Operation: 30-16=14 Current State: 20:[59, 93, 14], Operations: ['30-16=14'] Exploring Operation: 93-59=34, Resulting Numbers: [14, 34] Generated Node #3: [14, 34] from Operation: 93-59=34 Current State: 20:[14, 34], Operations: ['30-16=14', '93-59=34'] Exploring Operation: 34-14=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 7, 95, 78, 2 ]
97
[ "7-2=5", "95/5=19", "78+19=97" ]
Current State: 97:[7, 95, 78, 2], Operations: [] Exploring Operation: 7-2=5, Resulting Numbers: [95, 78, 5] Generated Node #2: [95, 78, 5] from Operation: 7-2=5 Current State: 97:[95, 78, 5], Operations: ['7-2=5'] Exploring Operation: 95/5=19, Resulting Numbers: [78, 19] Generated Node #3: [78, 19] from Operation: 95/5=19 Current State: 97:[78, 19], Operations: ['7-2=5', '95/5=19'] Exploring Operation: 78+19=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 28, 68, 52, 48 ]
26
[ "28+68=96", "52*48=2496", "2496/96=26" ]
Current State: 26:[28, 68, 52, 48], Operations: [] Exploring Operation: 28+68=96, Resulting Numbers: [52, 48, 96] Generated Node #2: [52, 48, 96] from Operation: 28+68=96 Current State: 26:[52, 48, 96], Operations: ['28+68=96'] Exploring Operation: 52*48=2496, Resulting Numbers: [96, 2496] Generated Node #3: [96, 2496] from Operation: 52*48=2496 Current State: 26:[96, 2496], Operations: ['28+68=96', '52*48=2496'] Exploring Operation: 2496/96=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 64, 59, 23, 69 ]
41
[ "64+59=123", "69/23=3", "123/3=41" ]
Current State: 41:[64, 59, 23, 69], Operations: [] Exploring Operation: 64+59=123, Resulting Numbers: [23, 69, 123] Generated Node #2: [23, 69, 123] from Operation: 64+59=123 Current State: 41:[23, 69, 123], Operations: ['64+59=123'] Exploring Operation: 69/23=3, Resulting Numbers: [123, 3] Generated Node #3: [123, 3] from Operation: 69/23=3 Current State: 41:[123, 3], Operations: ['64+59=123', '69/23=3'] Exploring Operation: 123/3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 1, 4, 40, 81 ]
83
[ "1+40=41", "4*41=164", "164-81=83" ]
Current State: 83:[1, 4, 40, 81], Operations: [] Exploring Operation: 1+40=41, Resulting Numbers: [4, 81, 41] Generated Node #2: [4, 81, 41] from Operation: 1+40=41 Current State: 83:[4, 81, 41], Operations: ['1+40=41'] Exploring Operation: 4*41=164, Resulting Numbers: [81, 164] Generated Node #3: [81, 164] from Operation: 4*41=164 Current State: 83:[81, 164], Operations: ['1+40=41', '4*41=164'] Exploring Operation: 164-81=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 42, 40, 24, 18 ]
15
[ "42-40=2", "18/2=9", "24-9=15" ]
Current State: 15:[42, 40, 24, 18], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [24, 18, 2] Generated Node #2: [24, 18, 2] from Operation: 42-40=2 Current State: 15:[24, 18, 2], Operations: ['42-40=2'] Exploring Operation: 18/2=9, Resulting Numbers: [24, 9] Generated Node #3: [24, 9] from Operation: 18/2=9 Current State: 15:[24, 9], Operations: ['42-40=2', '18/2=9'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 10, 70, 66, 23 ]
50
[ "70/10=7", "66-23=43", "7+43=50" ]
Current State: 50:[10, 70, 66, 23], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [66, 23, 7] Generated Node #2: [66, 23, 7] from Operation: 70/10=7 Current State: 50:[66, 23, 7], Operations: ['70/10=7'] Exploring Operation: 66-23=43, Resulting Numbers: [7, 43] Generated Node #3: [7, 43] from Operation: 66-23=43 Current State: 50:[7, 43], Operations: ['70/10=7', '66-23=43'] Exploring Operation: 7+43=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 42, 66, 14, 12 ]
22
[ "66-42=24", "14-12=2", "24-2=22" ]
Current State: 22:[42, 66, 14, 12], Operations: [] Exploring Operation: 66-42=24, Resulting Numbers: [14, 12, 24] Generated Node #2: [14, 12, 24] from Operation: 66-42=24 Current State: 22:[14, 12, 24], Operations: ['66-42=24'] Exploring Operation: 14-12=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 14-12=2 Current State: 22:[24, 2], Operations: ['66-42=24', '14-12=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 61, 63, 54, 31 ]
22
[ "61-54=7", "63/7=9", "31-9=22" ]
Current State: 22:[61, 63, 54, 31], Operations: [] Exploring Operation: 61-54=7, Resulting Numbers: [63, 31, 7] Generated Node #2: [63, 31, 7] from Operation: 61-54=7 Current State: 22:[63, 31, 7], Operations: ['61-54=7'] Exploring Operation: 63/7=9, Resulting Numbers: [31, 9] Generated Node #3: [31, 9] from Operation: 63/7=9 Current State: 22:[31, 9], Operations: ['61-54=7', '63/7=9'] Exploring Operation: 31-9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4