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
[ 52, 90, 88, 93 ]
43
[ "90-52=38", "93-88=5", "38+5=43" ]
Current State: 43:[52, 90, 88, 93], Operations: [] Exploring Operation: 90-52=38, Resulting Numbers: [88, 93, 38] Generated Node #2: [88, 93, 38] from Operation: 90-52=38 Current State: 43:[88, 93, 38], Operations: ['90-52=38'] Exploring Operation: 93-88=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 93-88=5 Current State: 43:[38, 5], Operations: ['90-52=38', '93-88=5'] Exploring Operation: 38+5=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 26, 96, 91, 32 ]
75
[ "32-26=6", "96/6=16", "91-16=75" ]
Current State: 75:[26, 96, 91, 32], Operations: [] Exploring Operation: 32-26=6, Resulting Numbers: [96, 91, 6] Generated Node #2: [96, 91, 6] from Operation: 32-26=6 Current State: 75:[96, 91, 6], Operations: ['32-26=6'] Exploring Operation: 96/6=16, Resulting Numbers: [91, 16] Generated Node #3: [91, 16] from Operation: 96/6=16 Current State: 75:[91, 16], Operations: ['32-26=6', '96/6=16'] Exploring Operation: 91-16=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 15, 50, 59, 8 ]
48
[ "15+50=65", "65-59=6", "8*6=48" ]
Current State: 48:[15, 50, 59, 8], Operations: [] Exploring Operation: 15+50=65, Resulting Numbers: [59, 8, 65] Generated Node #2: [59, 8, 65] from Operation: 15+50=65 Current State: 48:[59, 8, 65], Operations: ['15+50=65'] Exploring Operation: 65-59=6, Resulting Numbers: [8, 6] Generated Node #3: [8, 6] from Operation: 65-59=6 Current State: 48:[8, 6], Operations: ['15+50=65', '65-59=6'] Exploring Operation: 8*6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 78, 5, 49, 83 ]
59
[ "78-5=73", "49+83=132", "132-73=59" ]
Current State: 59:[78, 5, 49, 83], Operations: [] Exploring Operation: 78-5=73, Resulting Numbers: [49, 83, 73] Generated Node #2: [49, 83, 73] from Operation: 78-5=73 Current State: 59:[49, 83, 73], Operations: ['78-5=73'] Exploring Operation: 49+83=132, Resulting Numbers: [73, 132] Generated Node #3: [73, 132] from Operation: 49+83=132 Current State: 59:[73, 132], Operations: ['78-5=73', '49+83=132'] Exploring Operation: 132-73=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 19, 9, 1, 44 ]
72
[ "19+9=28", "1*44=44", "28+44=72" ]
Current State: 72:[19, 9, 1, 44], Operations: [] Exploring Operation: 19+9=28, Resulting Numbers: [1, 44, 28] Generated Node #2: [1, 44, 28] from Operation: 19+9=28 Current State: 72:[1, 44, 28], Operations: ['19+9=28'] Exploring Operation: 1*44=44, Resulting Numbers: [28, 44] Generated Node #3: [28, 44] from Operation: 1*44=44 Current State: 72:[28, 44], Operations: ['19+9=28', '1*44=44'] Exploring Operation: 28+44=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 99, 81, 2, 10 ]
15
[ "99+81=180", "2+10=12", "180/12=15" ]
Current State: 15:[99, 81, 2, 10], Operations: [] Exploring Operation: 99+81=180, Resulting Numbers: [2, 10, 180] Generated Node #2: [2, 10, 180] from Operation: 99+81=180 Current State: 15:[2, 10, 180], Operations: ['99+81=180'] Exploring Operation: 2+10=12, Resulting Numbers: [180, 12] Generated Node #3: [180, 12] from Operation: 2+10=12 Current State: 15:[180, 12], Operations: ['99+81=180', '2+10=12'] Exploring Operation: 180/12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 82, 90, 63, 33 ]
42
[ "82*63=5166", "90+33=123", "5166/123=42" ]
Current State: 42:[82, 90, 63, 33], Operations: [] Exploring Operation: 82*63=5166, Resulting Numbers: [90, 33, 5166] Generated Node #2: [90, 33, 5166] from Operation: 82*63=5166 Current State: 42:[90, 33, 5166], Operations: ['82*63=5166'] Exploring Operation: 90+33=123, Resulting Numbers: [5166, 123] Generated Node #3: [5166, 123] from Operation: 90+33=123 Current State: 42:[5166, 123], Operations: ['82*63=5166', '90+33=123'] Exploring Operation: 5166/123=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 8, 5, 17, 77 ]
47
[ "8+5=13", "77-17=60", "60-13=47" ]
Current State: 47:[8, 5, 17, 77], Operations: [] Exploring Operation: 8+5=13, Resulting Numbers: [17, 77, 13] Generated Node #2: [17, 77, 13] from Operation: 8+5=13 Current State: 47:[17, 77, 13], Operations: ['8+5=13'] Exploring Operation: 77-17=60, Resulting Numbers: [13, 60] Generated Node #3: [13, 60] from Operation: 77-17=60 Current State: 47:[13, 60], Operations: ['8+5=13', '77-17=60'] Exploring Operation: 60-13=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 59, 7, 41, 79 ]
90
[ "59-7=52", "79-41=38", "52+38=90" ]
Current State: 90:[59, 7, 41, 79], Operations: [] Exploring Operation: 59-7=52, Resulting Numbers: [41, 79, 52] Generated Node #2: [41, 79, 52] from Operation: 59-7=52 Current State: 90:[41, 79, 52], Operations: ['59-7=52'] Exploring Operation: 79-41=38, Resulting Numbers: [52, 38] Generated Node #3: [52, 38] from Operation: 79-41=38 Current State: 90:[52, 38], Operations: ['59-7=52', '79-41=38'] Exploring Operation: 52+38=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 22, 24, 86, 77 ]
55
[ "22+24=46", "86-77=9", "46+9=55" ]
Current State: 55:[22, 24, 86, 77], Operations: [] Exploring Operation: 22+24=46, Resulting Numbers: [86, 77, 46] Generated Node #2: [86, 77, 46] from Operation: 22+24=46 Current State: 55:[86, 77, 46], Operations: ['22+24=46'] Exploring Operation: 86-77=9, Resulting Numbers: [46, 9] Generated Node #3: [46, 9] from Operation: 86-77=9 Current State: 55:[46, 9], Operations: ['22+24=46', '86-77=9'] Exploring Operation: 46+9=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 38, 20, 31, 27 ]
33
[ "31-27=4", "20/4=5", "38-5=33" ]
Current State: 33:[38, 20, 31, 27], Operations: [] Exploring Operation: 31-27=4, Resulting Numbers: [38, 20, 4] Generated Node #2: [38, 20, 4] from Operation: 31-27=4 Current State: 33:[38, 20, 4], Operations: ['31-27=4'] Exploring Operation: 20/4=5, Resulting Numbers: [38, 5] Generated Node #3: [38, 5] from Operation: 20/4=5 Current State: 33:[38, 5], Operations: ['31-27=4', '20/4=5'] Exploring Operation: 38-5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 55, 78, 21, 63 ]
29
[ "78*21=1638", "1638/63=26", "55-26=29" ]
Current State: 29:[55, 78, 21, 63], Operations: [] Exploring Operation: 78*21=1638, Resulting Numbers: [55, 63, 1638] Generated Node #2: [55, 63, 1638] from Operation: 78*21=1638 Current State: 29:[55, 63, 1638], Operations: ['78*21=1638'] Exploring Operation: 1638/63=26, Resulting Numbers: [55, 26] Generated Node #3: [55, 26] from Operation: 1638/63=26 Current State: 29:[55, 26], Operations: ['78*21=1638', '1638/63=26'] Exploring Operation: 55-26=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 79, 13, 94, 45 ]
16
[ "94-79=15", "45/15=3", "13+3=16" ]
Current State: 16:[79, 13, 94, 45], Operations: [] Exploring Operation: 94-79=15, Resulting Numbers: [13, 45, 15] Generated Node #2: [13, 45, 15] from Operation: 94-79=15 Current State: 16:[13, 45, 15], Operations: ['94-79=15'] Exploring Operation: 45/15=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 45/15=3 Current State: 16:[13, 3], Operations: ['94-79=15', '45/15=3'] Exploring Operation: 13+3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 55, 29, 36, 64 ]
63
[ "64-55=9", "36-29=7", "9*7=63" ]
Current State: 63:[55, 29, 36, 64], Operations: [] Exploring Operation: 64-55=9, Resulting Numbers: [29, 36, 9] Generated Node #2: [29, 36, 9] from Operation: 64-55=9 Current State: 63:[29, 36, 9], Operations: ['64-55=9'] Exploring Operation: 36-29=7, Resulting Numbers: [9, 7] Generated Node #3: [9, 7] from Operation: 36-29=7 Current State: 63:[9, 7], Operations: ['64-55=9', '36-29=7'] Exploring Operation: 9*7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 58, 85, 16, 93 ]
60
[ "93-85=8", "16/8=2", "58+2=60" ]
Current State: 60:[58, 85, 16, 93], Operations: [] Exploring Operation: 93-85=8, Resulting Numbers: [58, 16, 8] Generated Node #2: [58, 16, 8] from Operation: 93-85=8 Current State: 60:[58, 16, 8], Operations: ['93-85=8'] Exploring Operation: 16/8=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 16/8=2 Current State: 60:[58, 2], Operations: ['93-85=8', '16/8=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 10, 26, 82, 3 ]
26
[ "10+26=36", "3*36=108", "108-82=26" ]
Current State: 26:[10, 26, 82, 3], Operations: [] Exploring Operation: 10+26=36, Resulting Numbers: [82, 3, 36] Generated Node #2: [82, 3, 36] from Operation: 10+26=36 Current State: 26:[82, 3, 36], Operations: ['10+26=36'] Exploring Operation: 3*36=108, Resulting Numbers: [82, 108] Generated Node #3: [82, 108] from Operation: 3*36=108 Current State: 26:[82, 108], Operations: ['10+26=36', '3*36=108'] Exploring Operation: 108-82=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 21, 70, 21, 86 ]
86
[ "21-21=0", "70*0=0", "86+0=86" ]
Current State: 86:[21, 70, 21, 86], Operations: [] Exploring Operation: 21-21=0, Resulting Numbers: [70, 86, 0] Generated Node #2: [70, 86, 0] from Operation: 21-21=0 Current State: 86:[70, 86, 0], Operations: ['21-21=0'] Exploring Operation: 70*0=0, Resulting Numbers: [86, 0] Generated Node #3: [86, 0] from Operation: 70*0=0 Current State: 86:[86, 0], Operations: ['21-21=0', '70*0=0'] Exploring Operation: 86+0=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 42, 17, 92, 69 ]
39
[ "42*92=3864", "3864/69=56", "56-17=39" ]
Current State: 39:[42, 17, 92, 69], Operations: [] Exploring Operation: 42*92=3864, Resulting Numbers: [17, 69, 3864] Generated Node #2: [17, 69, 3864] from Operation: 42*92=3864 Current State: 39:[17, 69, 3864], Operations: ['42*92=3864'] Exploring Operation: 3864/69=56, Resulting Numbers: [17, 56] Generated Node #3: [17, 56] from Operation: 3864/69=56 Current State: 39:[17, 56], Operations: ['42*92=3864', '3864/69=56'] Exploring Operation: 56-17=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 62, 92, 16, 15 ]
18
[ "92-62=30", "30/15=2", "16+2=18" ]
Current State: 18:[62, 92, 16, 15], Operations: [] Exploring Operation: 92-62=30, Resulting Numbers: [16, 15, 30] Generated Node #2: [16, 15, 30] from Operation: 92-62=30 Current State: 18:[16, 15, 30], Operations: ['92-62=30'] Exploring Operation: 30/15=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 30/15=2 Current State: 18:[16, 2], Operations: ['92-62=30', '30/15=2'] Exploring Operation: 16+2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 98, 95, 48, 1 ]
50
[ "98-95=3", "48-1=47", "3+47=50" ]
Current State: 50:[98, 95, 48, 1], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [48, 1, 3] Generated Node #2: [48, 1, 3] from Operation: 98-95=3 Current State: 50:[48, 1, 3], Operations: ['98-95=3'] Exploring Operation: 48-1=47, Resulting Numbers: [3, 47] Generated Node #3: [3, 47] from Operation: 48-1=47 Current State: 50:[3, 47], Operations: ['98-95=3', '48-1=47'] Exploring Operation: 3+47=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 7, 42, 3, 53 ]
50
[ "42/7=6", "3+53=56", "56-6=50" ]
Current State: 50:[7, 42, 3, 53], Operations: [] Exploring Operation: 42/7=6, Resulting Numbers: [3, 53, 6] Generated Node #2: [3, 53, 6] from Operation: 42/7=6 Current State: 50:[3, 53, 6], Operations: ['42/7=6'] Exploring Operation: 3+53=56, Resulting Numbers: [6, 56] Generated Node #3: [6, 56] from Operation: 3+53=56 Current State: 50:[6, 56], Operations: ['42/7=6', '3+53=56'] Exploring Operation: 56-6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 81, 82, 80, 39 ]
83
[ "80-39=41", "82/41=2", "81+2=83" ]
Current State: 83:[81, 82, 80, 39], Operations: [] Exploring Operation: 80-39=41, Resulting Numbers: [81, 82, 41] Generated Node #2: [81, 82, 41] from Operation: 80-39=41 Current State: 83:[81, 82, 41], Operations: ['80-39=41'] Exploring Operation: 82/41=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 82/41=2 Current State: 83:[81, 2], Operations: ['80-39=41', '82/41=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 34, 71, 79, 19 ]
23
[ "71-34=37", "79-19=60", "60-37=23" ]
Current State: 23:[34, 71, 79, 19], Operations: [] Exploring Operation: 71-34=37, Resulting Numbers: [79, 19, 37] Generated Node #2: [79, 19, 37] from Operation: 71-34=37 Current State: 23:[79, 19, 37], Operations: ['71-34=37'] Exploring Operation: 79-19=60, Resulting Numbers: [37, 60] Generated Node #3: [37, 60] from Operation: 79-19=60 Current State: 23:[37, 60], Operations: ['71-34=37', '79-19=60'] Exploring Operation: 60-37=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 4, 44, 7, 60 ]
71
[ "60-44=16", "4*16=64", "7+64=71" ]
Current State: 71:[4, 44, 7, 60], Operations: [] Exploring Operation: 60-44=16, Resulting Numbers: [4, 7, 16] Generated Node #2: [4, 7, 16] from Operation: 60-44=16 Current State: 71:[4, 7, 16], Operations: ['60-44=16'] Exploring Operation: 4*16=64, Resulting Numbers: [7, 64] Generated Node #3: [7, 64] from Operation: 4*16=64 Current State: 71:[7, 64], Operations: ['60-44=16', '4*16=64'] Exploring Operation: 7+64=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 43, 85, 10, 22 ]
96
[ "43+85=128", "10+22=32", "128-32=96" ]
Current State: 96:[43, 85, 10, 22], Operations: [] Exploring Operation: 43+85=128, Resulting Numbers: [10, 22, 128] Generated Node #2: [10, 22, 128] from Operation: 43+85=128 Current State: 96:[10, 22, 128], Operations: ['43+85=128'] Exploring Operation: 10+22=32, Resulting Numbers: [128, 32] Generated Node #3: [128, 32] from Operation: 10+22=32 Current State: 96:[128, 32], Operations: ['43+85=128', '10+22=32'] Exploring Operation: 128-32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 96, 98, 4 ]
34
[ "13+4=17", "98-96=2", "17*2=34" ]
Current State: 34:[13, 96, 98, 4], Operations: [] Exploring Operation: 13+4=17, Resulting Numbers: [96, 98, 17] Generated Node #2: [96, 98, 17] from Operation: 13+4=17 Current State: 34:[96, 98, 17], Operations: ['13+4=17'] Exploring Operation: 98-96=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 98-96=2 Current State: 34:[17, 2], Operations: ['13+4=17', '98-96=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 44, 79, 44, 59 ]
79
[ "44-44=0", "59*0=0", "79+0=79" ]
Current State: 79:[44, 79, 44, 59], Operations: [] Exploring Operation: 44-44=0, Resulting Numbers: [79, 59, 0] Generated Node #2: [79, 59, 0] from Operation: 44-44=0 Current State: 79:[79, 59, 0], Operations: ['44-44=0'] Exploring Operation: 59*0=0, Resulting Numbers: [79, 0] Generated Node #3: [79, 0] from Operation: 59*0=0 Current State: 79:[79, 0], Operations: ['44-44=0', '59*0=0'] Exploring Operation: 79+0=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 86, 6, 72, 69 ]
96
[ "86+6=92", "72*92=6624", "6624/69=96" ]
Current State: 96:[86, 6, 72, 69], Operations: [] Exploring Operation: 86+6=92, Resulting Numbers: [72, 69, 92] Generated Node #2: [72, 69, 92] from Operation: 86+6=92 Current State: 96:[72, 69, 92], Operations: ['86+6=92'] Exploring Operation: 72*92=6624, Resulting Numbers: [69, 6624] Generated Node #3: [69, 6624] from Operation: 72*92=6624 Current State: 96:[69, 6624], Operations: ['86+6=92', '72*92=6624'] Exploring Operation: 6624/69=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 9, 71, 16, 17 ]
95
[ "71-9=62", "16+17=33", "62+33=95" ]
Current State: 95:[9, 71, 16, 17], Operations: [] Exploring Operation: 71-9=62, Resulting Numbers: [16, 17, 62] Generated Node #2: [16, 17, 62] from Operation: 71-9=62 Current State: 95:[16, 17, 62], Operations: ['71-9=62'] Exploring Operation: 16+17=33, Resulting Numbers: [62, 33] Generated Node #3: [62, 33] from Operation: 16+17=33 Current State: 95:[62, 33], Operations: ['71-9=62', '16+17=33'] Exploring Operation: 62+33=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 50, 84, 35, 32 ]
31
[ "84-50=34", "35-32=3", "34-3=31" ]
Current State: 31:[50, 84, 35, 32], Operations: [] Exploring Operation: 84-50=34, Resulting Numbers: [35, 32, 34] Generated Node #2: [35, 32, 34] from Operation: 84-50=34 Current State: 31:[35, 32, 34], Operations: ['84-50=34'] Exploring Operation: 35-32=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 35-32=3 Current State: 31:[34, 3], Operations: ['84-50=34', '35-32=3'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 72, 20, 9, 33 ]
60
[ "72*20=1440", "33-9=24", "1440/24=60" ]
Current State: 60:[72, 20, 9, 33], Operations: [] Exploring Operation: 72*20=1440, Resulting Numbers: [9, 33, 1440] Generated Node #2: [9, 33, 1440] from Operation: 72*20=1440 Current State: 60:[9, 33, 1440], Operations: ['72*20=1440'] Exploring Operation: 33-9=24, Resulting Numbers: [1440, 24] Generated Node #3: [1440, 24] from Operation: 33-9=24 Current State: 60:[1440, 24], Operations: ['72*20=1440', '33-9=24'] Exploring Operation: 1440/24=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 99, 71, 11, 43 ]
60
[ "99-71=28", "43-11=32", "28+32=60" ]
Current State: 60:[99, 71, 11, 43], Operations: [] Exploring Operation: 99-71=28, Resulting Numbers: [11, 43, 28] Generated Node #2: [11, 43, 28] from Operation: 99-71=28 Current State: 60:[11, 43, 28], Operations: ['99-71=28'] Exploring Operation: 43-11=32, Resulting Numbers: [28, 32] Generated Node #3: [28, 32] from Operation: 43-11=32 Current State: 60:[28, 32], Operations: ['99-71=28', '43-11=32'] Exploring Operation: 28+32=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 38, 61, 5, 53 ]
25
[ "61-38=23", "53-5=48", "48-23=25" ]
Current State: 25:[38, 61, 5, 53], Operations: [] Exploring Operation: 61-38=23, Resulting Numbers: [5, 53, 23] Generated Node #2: [5, 53, 23] from Operation: 61-38=23 Current State: 25:[5, 53, 23], Operations: ['61-38=23'] Exploring Operation: 53-5=48, Resulting Numbers: [23, 48] Generated Node #3: [23, 48] from Operation: 53-5=48 Current State: 25:[23, 48], Operations: ['61-38=23', '53-5=48'] Exploring Operation: 48-23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 72, 81, 97, 27 ]
22
[ "97-72=25", "81/27=3", "25-3=22" ]
Current State: 22:[72, 81, 97, 27], Operations: [] Exploring Operation: 97-72=25, Resulting Numbers: [81, 27, 25] Generated Node #2: [81, 27, 25] from Operation: 97-72=25 Current State: 22:[81, 27, 25], Operations: ['97-72=25'] Exploring Operation: 81/27=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 81/27=3 Current State: 22:[25, 3], Operations: ['97-72=25', '81/27=3'] Exploring Operation: 25-3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 90, 67, 21, 63 ]
69
[ "90-67=23", "63/21=3", "23*3=69" ]
Current State: 69:[90, 67, 21, 63], Operations: [] Exploring Operation: 90-67=23, Resulting Numbers: [21, 63, 23] Generated Node #2: [21, 63, 23] from Operation: 90-67=23 Current State: 69:[21, 63, 23], Operations: ['90-67=23'] Exploring Operation: 63/21=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 63/21=3 Current State: 69:[23, 3], Operations: ['90-67=23', '63/21=3'] Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 52, 44, 30, 51 ]
75
[ "52+44=96", "51-30=21", "96-21=75" ]
Current State: 75:[52, 44, 30, 51], Operations: [] Exploring Operation: 52+44=96, Resulting Numbers: [30, 51, 96] Generated Node #2: [30, 51, 96] from Operation: 52+44=96 Current State: 75:[30, 51, 96], Operations: ['52+44=96'] Exploring Operation: 51-30=21, Resulting Numbers: [96, 21] Generated Node #3: [96, 21] from Operation: 51-30=21 Current State: 75:[96, 21], Operations: ['52+44=96', '51-30=21'] Exploring Operation: 96-21=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 66, 40, 46 ]
12
[ "8+66=74", "40+46=86", "86-74=12" ]
Current State: 12:[8, 66, 40, 46], Operations: [] Exploring Operation: 8+66=74, Resulting Numbers: [40, 46, 74] Generated Node #2: [40, 46, 74] from Operation: 8+66=74 Current State: 12:[40, 46, 74], Operations: ['8+66=74'] Exploring Operation: 40+46=86, Resulting Numbers: [74, 86] Generated Node #3: [74, 86] from Operation: 40+46=86 Current State: 12:[74, 86], Operations: ['8+66=74', '40+46=86'] Exploring Operation: 86-74=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 51, 4, 21, 44 ]
91
[ "51-44=7", "4*21=84", "7+84=91" ]
Current State: 91:[51, 4, 21, 44], Operations: [] Exploring Operation: 51-44=7, Resulting Numbers: [4, 21, 7] Generated Node #2: [4, 21, 7] from Operation: 51-44=7 Current State: 91:[4, 21, 7], Operations: ['51-44=7'] Exploring Operation: 4*21=84, Resulting Numbers: [7, 84] Generated Node #3: [7, 84] from Operation: 4*21=84 Current State: 91:[7, 84], Operations: ['51-44=7', '4*21=84'] Exploring Operation: 7+84=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 3, 39, 17, 40 ]
64
[ "3*40=120", "39+17=56", "120-56=64" ]
Current State: 64:[3, 39, 17, 40], Operations: [] Exploring Operation: 3*40=120, Resulting Numbers: [39, 17, 120] Generated Node #2: [39, 17, 120] from Operation: 3*40=120 Current State: 64:[39, 17, 120], Operations: ['3*40=120'] Exploring Operation: 39+17=56, Resulting Numbers: [120, 56] Generated Node #3: [120, 56] from Operation: 39+17=56 Current State: 64:[120, 56], Operations: ['3*40=120', '39+17=56'] Exploring Operation: 120-56=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 95, 38, 2, 22 ]
46
[ "95-38=57", "22/2=11", "57-11=46" ]
Current State: 46:[95, 38, 2, 22], Operations: [] Exploring Operation: 95-38=57, Resulting Numbers: [2, 22, 57] Generated Node #2: [2, 22, 57] from Operation: 95-38=57 Current State: 46:[2, 22, 57], Operations: ['95-38=57'] Exploring Operation: 22/2=11, Resulting Numbers: [57, 11] Generated Node #3: [57, 11] from Operation: 22/2=11 Current State: 46:[57, 11], Operations: ['95-38=57', '22/2=11'] Exploring Operation: 57-11=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 63, 58, 28, 54 ]
59
[ "58+54=112", "112/28=4", "63-4=59" ]
Current State: 59:[63, 58, 28, 54], Operations: [] Exploring Operation: 58+54=112, Resulting Numbers: [63, 28, 112] Generated Node #2: [63, 28, 112] from Operation: 58+54=112 Current State: 59:[63, 28, 112], Operations: ['58+54=112'] Exploring Operation: 112/28=4, Resulting Numbers: [63, 4] Generated Node #3: [63, 4] from Operation: 112/28=4 Current State: 59:[63, 4], Operations: ['58+54=112', '112/28=4'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 93, 76, 47, 65 ]
95
[ "93-76=17", "47+65=112", "112-17=95" ]
Current State: 95:[93, 76, 47, 65], Operations: [] Exploring Operation: 93-76=17, Resulting Numbers: [47, 65, 17] Generated Node #2: [47, 65, 17] from Operation: 93-76=17 Current State: 95:[47, 65, 17], Operations: ['93-76=17'] Exploring Operation: 47+65=112, Resulting Numbers: [17, 112] Generated Node #3: [17, 112] from Operation: 47+65=112 Current State: 95:[17, 112], Operations: ['93-76=17', '47+65=112'] Exploring Operation: 112-17=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 71, 36, 68, 56 ]
52
[ "71-68=3", "36*3=108", "108-56=52" ]
Current State: 52:[71, 36, 68, 56], Operations: [] Exploring Operation: 71-68=3, Resulting Numbers: [36, 56, 3] Generated Node #2: [36, 56, 3] from Operation: 71-68=3 Current State: 52:[36, 56, 3], Operations: ['71-68=3'] Exploring Operation: 36*3=108, Resulting Numbers: [56, 108] Generated Node #3: [56, 108] from Operation: 36*3=108 Current State: 52:[56, 108], Operations: ['71-68=3', '36*3=108'] Exploring Operation: 108-56=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 60, 96, 56, 43 ]
19
[ "60-56=4", "96/4=24", "43-24=19" ]
Current State: 19:[60, 96, 56, 43], Operations: [] Exploring Operation: 60-56=4, Resulting Numbers: [96, 43, 4] Generated Node #2: [96, 43, 4] from Operation: 60-56=4 Current State: 19:[96, 43, 4], Operations: ['60-56=4'] Exploring Operation: 96/4=24, Resulting Numbers: [43, 24] Generated Node #3: [43, 24] from Operation: 96/4=24 Current State: 19:[43, 24], Operations: ['60-56=4', '96/4=24'] Exploring Operation: 43-24=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 76, 27, 66, 52 ]
35
[ "76-27=49", "66-52=14", "49-14=35" ]
Current State: 35:[76, 27, 66, 52], Operations: [] Exploring Operation: 76-27=49, Resulting Numbers: [66, 52, 49] Generated Node #2: [66, 52, 49] from Operation: 76-27=49 Current State: 35:[66, 52, 49], Operations: ['76-27=49'] Exploring Operation: 66-52=14, Resulting Numbers: [49, 14] Generated Node #3: [49, 14] from Operation: 66-52=14 Current State: 35:[49, 14], Operations: ['76-27=49', '66-52=14'] Exploring Operation: 49-14=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 69, 62, 60, 87 ]
34
[ "69-62=7", "87-60=27", "7+27=34" ]
Current State: 34:[69, 62, 60, 87], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [60, 87, 7] Generated Node #2: [60, 87, 7] from Operation: 69-62=7 Current State: 34:[60, 87, 7], Operations: ['69-62=7'] Exploring Operation: 87-60=27, Resulting Numbers: [7, 27] Generated Node #3: [7, 27] from Operation: 87-60=27 Current State: 34:[7, 27], Operations: ['69-62=7', '87-60=27'] Exploring Operation: 7+27=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 22, 28, 27, 82 ]
24
[ "82-28=54", "54/27=2", "22+2=24" ]
Current State: 24:[22, 28, 27, 82], Operations: [] Exploring Operation: 82-28=54, Resulting Numbers: [22, 27, 54] Generated Node #2: [22, 27, 54] from Operation: 82-28=54 Current State: 24:[22, 27, 54], Operations: ['82-28=54'] Exploring Operation: 54/27=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 54/27=2 Current State: 24:[22, 2], Operations: ['82-28=54', '54/27=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 74, 46, 56, 61 ]
23
[ "74-46=28", "61-56=5", "28-5=23" ]
Current State: 23:[74, 46, 56, 61], Operations: [] Exploring Operation: 74-46=28, Resulting Numbers: [56, 61, 28] Generated Node #2: [56, 61, 28] from Operation: 74-46=28 Current State: 23:[56, 61, 28], Operations: ['74-46=28'] Exploring Operation: 61-56=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 61-56=5 Current State: 23:[28, 5], Operations: ['74-46=28', '61-56=5'] Exploring Operation: 28-5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 6, 63, 39, 81 ]
13
[ "6*39=234", "81-63=18", "234/18=13" ]
Current State: 13:[6, 63, 39, 81], Operations: [] Exploring Operation: 6*39=234, Resulting Numbers: [63, 81, 234] Generated Node #2: [63, 81, 234] from Operation: 6*39=234 Current State: 13:[63, 81, 234], Operations: ['6*39=234'] Exploring Operation: 81-63=18, Resulting Numbers: [234, 18] Generated Node #3: [234, 18] from Operation: 81-63=18 Current State: 13:[234, 18], Operations: ['6*39=234', '81-63=18'] Exploring Operation: 234/18=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 16, 92, 38, 92 ]
23
[ "38-16=22", "92/92=1", "22+1=23" ]
Current State: 23:[16, 92, 38, 92], Operations: [] Exploring Operation: 38-16=22, Resulting Numbers: [92, 92, 22] Generated Node #2: [92, 92, 22] from Operation: 38-16=22 Current State: 23:[92, 92, 22], Operations: ['38-16=22'] Exploring Operation: 92/92=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 92/92=1 Current State: 23:[22, 1], Operations: ['38-16=22', '92/92=1'] Exploring Operation: 22+1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 84, 6, 32, 22 ]
86
[ "84+22=106", "6*32=192", "192-106=86" ]
Current State: 86:[84, 6, 32, 22], Operations: [] Exploring Operation: 84+22=106, Resulting Numbers: [6, 32, 106] Generated Node #2: [6, 32, 106] from Operation: 84+22=106 Current State: 86:[6, 32, 106], Operations: ['84+22=106'] Exploring Operation: 6*32=192, Resulting Numbers: [106, 192] Generated Node #3: [106, 192] from Operation: 6*32=192 Current State: 86:[106, 192], Operations: ['84+22=106', '6*32=192'] Exploring Operation: 192-106=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 42, 63, 32, 40 ]
94
[ "42-40=2", "63*2=126", "126-32=94" ]
Current State: 94:[42, 63, 32, 40], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [63, 32, 2] Generated Node #2: [63, 32, 2] from Operation: 42-40=2 Current State: 94:[63, 32, 2], Operations: ['42-40=2'] Exploring Operation: 63*2=126, Resulting Numbers: [32, 126] Generated Node #3: [32, 126] from Operation: 63*2=126 Current State: 94:[32, 126], Operations: ['42-40=2', '63*2=126'] Exploring Operation: 126-32=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 6, 61, 34, 3 ]
36
[ "6+61=67", "34-3=31", "67-31=36" ]
Current State: 36:[6, 61, 34, 3], Operations: [] Exploring Operation: 6+61=67, Resulting Numbers: [34, 3, 67] Generated Node #2: [34, 3, 67] from Operation: 6+61=67 Current State: 36:[34, 3, 67], Operations: ['6+61=67'] Exploring Operation: 34-3=31, Resulting Numbers: [67, 31] Generated Node #3: [67, 31] from Operation: 34-3=31 Current State: 36:[67, 31], Operations: ['6+61=67', '34-3=31'] Exploring Operation: 67-31=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 94, 37, 47, 35 ]
39
[ "94*37=3478", "3478/47=74", "74-35=39" ]
Current State: 39:[94, 37, 47, 35], Operations: [] Exploring Operation: 94*37=3478, Resulting Numbers: [47, 35, 3478] Generated Node #2: [47, 35, 3478] from Operation: 94*37=3478 Current State: 39:[47, 35, 3478], Operations: ['94*37=3478'] Exploring Operation: 3478/47=74, Resulting Numbers: [35, 74] Generated Node #3: [35, 74] from Operation: 3478/47=74 Current State: 39:[35, 74], Operations: ['94*37=3478', '3478/47=74'] Exploring Operation: 74-35=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 53, 3, 32, 35 ]
26
[ "53-35=18", "18/3=6", "32-6=26" ]
Current State: 26:[53, 3, 32, 35], Operations: [] Exploring Operation: 53-35=18, Resulting Numbers: [3, 32, 18] Generated Node #2: [3, 32, 18] from Operation: 53-35=18 Current State: 26:[3, 32, 18], Operations: ['53-35=18'] Exploring Operation: 18/3=6, Resulting Numbers: [32, 6] Generated Node #3: [32, 6] from Operation: 18/3=6 Current State: 26:[32, 6], Operations: ['53-35=18', '18/3=6'] Exploring Operation: 32-6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 92, 32, 46, 65 ]
41
[ "92-32=60", "65-46=19", "60-19=41" ]
Current State: 41:[92, 32, 46, 65], Operations: [] Exploring Operation: 92-32=60, Resulting Numbers: [46, 65, 60] Generated Node #2: [46, 65, 60] from Operation: 92-32=60 Current State: 41:[46, 65, 60], Operations: ['92-32=60'] Exploring Operation: 65-46=19, Resulting Numbers: [60, 19] Generated Node #3: [60, 19] from Operation: 65-46=19 Current State: 41:[60, 19], Operations: ['92-32=60', '65-46=19'] Exploring Operation: 60-19=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 22, 26, 58, 69 ]
52
[ "22*26=572", "69-58=11", "572/11=52" ]
Current State: 52:[22, 26, 58, 69], Operations: [] Exploring Operation: 22*26=572, Resulting Numbers: [58, 69, 572] Generated Node #2: [58, 69, 572] from Operation: 22*26=572 Current State: 52:[58, 69, 572], Operations: ['22*26=572'] Exploring Operation: 69-58=11, Resulting Numbers: [572, 11] Generated Node #3: [572, 11] from Operation: 69-58=11 Current State: 52:[572, 11], Operations: ['22*26=572', '69-58=11'] Exploring Operation: 572/11=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 53, 4, 30, 22 ]
89
[ "53-22=31", "4*30=120", "120-31=89" ]
Current State: 89:[53, 4, 30, 22], Operations: [] Exploring Operation: 53-22=31, Resulting Numbers: [4, 30, 31] Generated Node #2: [4, 30, 31] from Operation: 53-22=31 Current State: 89:[4, 30, 31], Operations: ['53-22=31'] Exploring Operation: 4*30=120, Resulting Numbers: [31, 120] Generated Node #3: [31, 120] from Operation: 4*30=120 Current State: 89:[31, 120], Operations: ['53-22=31', '4*30=120'] Exploring Operation: 120-31=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 50, 84, 56, 2 ]
96
[ "56-50=6", "2*6=12", "84+12=96" ]
Current State: 96:[50, 84, 56, 2], Operations: [] Exploring Operation: 56-50=6, Resulting Numbers: [84, 2, 6] Generated Node #2: [84, 2, 6] from Operation: 56-50=6 Current State: 96:[84, 2, 6], Operations: ['56-50=6'] Exploring Operation: 2*6=12, Resulting Numbers: [84, 12] Generated Node #3: [84, 12] from Operation: 2*6=12 Current State: 96:[84, 12], Operations: ['56-50=6', '2*6=12'] Exploring Operation: 84+12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 76, 91, 9, 37 ]
70
[ "91-37=54", "54/9=6", "76-6=70" ]
Current State: 70:[76, 91, 9, 37], Operations: [] Exploring Operation: 91-37=54, Resulting Numbers: [76, 9, 54] Generated Node #2: [76, 9, 54] from Operation: 91-37=54 Current State: 70:[76, 9, 54], Operations: ['91-37=54'] Exploring Operation: 54/9=6, Resulting Numbers: [76, 6] Generated Node #3: [76, 6] from Operation: 54/9=6 Current State: 70:[76, 6], Operations: ['91-37=54', '54/9=6'] Exploring Operation: 76-6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 39, 59, 26, 52 ]
61
[ "52-39=13", "26/13=2", "59+2=61" ]
Current State: 61:[39, 59, 26, 52], Operations: [] Exploring Operation: 52-39=13, Resulting Numbers: [59, 26, 13] Generated Node #2: [59, 26, 13] from Operation: 52-39=13 Current State: 61:[59, 26, 13], Operations: ['52-39=13'] Exploring Operation: 26/13=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 26/13=2 Current State: 61:[59, 2], Operations: ['52-39=13', '26/13=2'] Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 34, 64, 19, 74 ]
63
[ "64-34=30", "19+74=93", "93-30=63" ]
Current State: 63:[34, 64, 19, 74], Operations: [] Exploring Operation: 64-34=30, Resulting Numbers: [19, 74, 30] Generated Node #2: [19, 74, 30] from Operation: 64-34=30 Current State: 63:[19, 74, 30], Operations: ['64-34=30'] Exploring Operation: 19+74=93, Resulting Numbers: [30, 93] Generated Node #3: [30, 93] from Operation: 19+74=93 Current State: 63:[30, 93], Operations: ['64-34=30', '19+74=93'] Exploring Operation: 93-30=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 46, 75, 8, 35 ]
14
[ "75-46=29", "8+35=43", "43-29=14" ]
Current State: 14:[46, 75, 8, 35], Operations: [] Exploring Operation: 75-46=29, Resulting Numbers: [8, 35, 29] Generated Node #2: [8, 35, 29] from Operation: 75-46=29 Current State: 14:[8, 35, 29], Operations: ['75-46=29'] Exploring Operation: 8+35=43, Resulting Numbers: [29, 43] Generated Node #3: [29, 43] from Operation: 8+35=43 Current State: 14:[29, 43], Operations: ['75-46=29', '8+35=43'] Exploring Operation: 43-29=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 84, 35, 35, 39 ]
25
[ "84-35=49", "35+39=74", "74-49=25" ]
Current State: 25:[84, 35, 35, 39], Operations: [] Exploring Operation: 84-35=49, Resulting Numbers: [39, 49] Generated Node #2: [39, 49] from Operation: 84-35=49 Current State: 25:[39, 49], Operations: ['84-35=49'] Exploring Operation: 35+39=74, Resulting Numbers: [49, 74] Generated Node #3: [49, 74] from Operation: 35+39=74 Current State: 25:[49, 74], Operations: ['84-35=49', '35+39=74'] Exploring Operation: 74-49=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 21, 70, 27, 75 ]
78
[ "75-70=5", "21*5=105", "105-27=78" ]
Current State: 78:[21, 70, 27, 75], Operations: [] Exploring Operation: 75-70=5, Resulting Numbers: [21, 27, 5] Generated Node #2: [21, 27, 5] from Operation: 75-70=5 Current State: 78:[21, 27, 5], Operations: ['75-70=5'] Exploring Operation: 21*5=105, Resulting Numbers: [27, 105] Generated Node #3: [27, 105] from Operation: 21*5=105 Current State: 78:[27, 105], Operations: ['75-70=5', '21*5=105'] Exploring Operation: 105-27=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 69, 78, 52, 92 ]
46
[ "69*52=3588", "3588/78=46", "92-46=46" ]
Current State: 46:[69, 78, 52, 92], Operations: [] Exploring Operation: 69*52=3588, Resulting Numbers: [78, 92, 3588] Generated Node #2: [78, 92, 3588] from Operation: 69*52=3588 Current State: 46:[78, 92, 3588], Operations: ['69*52=3588'] Exploring Operation: 3588/78=46, Resulting Numbers: [92, 46] Generated Node #3: [92, 46] from Operation: 3588/78=46 Current State: 46:[92, 46], Operations: ['69*52=3588', '3588/78=46'] Exploring Operation: 92-46=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 78, 26, 7, 51 ]
41
[ "78/26=3", "51-7=44", "44-3=41" ]
Current State: 41:[78, 26, 7, 51], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [7, 51, 3] Generated Node #2: [7, 51, 3] from Operation: 78/26=3 Current State: 41:[7, 51, 3], Operations: ['78/26=3'] Exploring Operation: 51-7=44, Resulting Numbers: [3, 44] Generated Node #3: [3, 44] from Operation: 51-7=44 Current State: 41:[3, 44], Operations: ['78/26=3', '51-7=44'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 60, 60, 53, 2 ]
53
[ "60-60=0", "2*0=0", "53+0=53" ]
Current State: 53:[60, 60, 53, 2], Operations: [] Exploring Operation: 60-60=0, Resulting Numbers: [53, 2, 0] Generated Node #2: [53, 2, 0] from Operation: 60-60=0 Current State: 53:[53, 2, 0], Operations: ['60-60=0'] Exploring Operation: 2*0=0, Resulting Numbers: [53, 0] Generated Node #3: [53, 0] from Operation: 2*0=0 Current State: 53:[53, 0], Operations: ['60-60=0', '2*0=0'] Exploring Operation: 53+0=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 29, 84, 28, 69 ]
72
[ "29+84=113", "69-28=41", "113-41=72" ]
Current State: 72:[29, 84, 28, 69], Operations: [] Exploring Operation: 29+84=113, Resulting Numbers: [28, 69, 113] Generated Node #2: [28, 69, 113] from Operation: 29+84=113 Current State: 72:[28, 69, 113], Operations: ['29+84=113'] Exploring Operation: 69-28=41, Resulting Numbers: [113, 41] Generated Node #3: [113, 41] from Operation: 69-28=41 Current State: 72:[113, 41], Operations: ['29+84=113', '69-28=41'] Exploring Operation: 113-41=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 36, 18, 46, 79 ]
51
[ "36-18=18", "79-46=33", "18+33=51" ]
Current State: 51:[36, 18, 46, 79], Operations: [] Exploring Operation: 36-18=18, Resulting Numbers: [46, 79, 18] Generated Node #2: [46, 79, 18] from Operation: 36-18=18 Current State: 51:[46, 79, 18], Operations: ['36-18=18'] Exploring Operation: 79-46=33, Resulting Numbers: [18, 33] Generated Node #3: [18, 33] from Operation: 79-46=33 Current State: 51:[18, 33], Operations: ['36-18=18', '79-46=33'] Exploring Operation: 18+33=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 21, 71, 46, 54 ]
58
[ "71-21=50", "54-46=8", "50+8=58" ]
Current State: 58:[21, 71, 46, 54], Operations: [] Exploring Operation: 71-21=50, Resulting Numbers: [46, 54, 50] Generated Node #2: [46, 54, 50] from Operation: 71-21=50 Current State: 58:[46, 54, 50], Operations: ['71-21=50'] Exploring Operation: 54-46=8, Resulting Numbers: [50, 8] Generated Node #3: [50, 8] from Operation: 54-46=8 Current State: 58:[50, 8], Operations: ['71-21=50', '54-46=8'] Exploring Operation: 50+8=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 34, 4, 4, 76 ]
44
[ "34-4=30", "4*30=120", "120-76=44" ]
Current State: 44:[34, 4, 4, 76], Operations: [] Exploring Operation: 34-4=30, Resulting Numbers: [76, 30] Generated Node #2: [76, 30] from Operation: 34-4=30 Current State: 44:[76, 30], Operations: ['34-4=30'] Exploring Operation: 4*30=120, Resulting Numbers: [76, 120] Generated Node #3: [76, 120] from Operation: 4*30=120 Current State: 44:[76, 120], Operations: ['34-4=30', '4*30=120'] Exploring Operation: 120-76=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 76, 11, 8, 65 ]
33
[ "76-8=68", "68-65=3", "11*3=33" ]
Current State: 33:[76, 11, 8, 65], Operations: [] Exploring Operation: 76-8=68, Resulting Numbers: [11, 65, 68] Generated Node #2: [11, 65, 68] from Operation: 76-8=68 Current State: 33:[11, 65, 68], Operations: ['76-8=68'] Exploring Operation: 68-65=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 68-65=3 Current State: 33:[11, 3], Operations: ['76-8=68', '68-65=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 33, 26, 99, 66 ]
23
[ "66-33=33", "99/33=3", "26-3=23" ]
Current State: 23:[33, 26, 99, 66], Operations: [] Exploring Operation: 66-33=33, Resulting Numbers: [26, 99, 33] Generated Node #2: [26, 99, 33] from Operation: 66-33=33 Current State: 23:[26, 99, 33], Operations: ['66-33=33'] Exploring Operation: 99/33=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 99/33=3 Current State: 23:[26, 3], Operations: ['66-33=33', '99/33=3'] Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 87, 15, 91, 59 ]
11
[ "91-87=4", "59-15=44", "44/4=11" ]
Current State: 11:[87, 15, 91, 59], Operations: [] Exploring Operation: 91-87=4, Resulting Numbers: [15, 59, 4] Generated Node #2: [15, 59, 4] from Operation: 91-87=4 Current State: 11:[15, 59, 4], Operations: ['91-87=4'] Exploring Operation: 59-15=44, Resulting Numbers: [4, 44] Generated Node #3: [4, 44] from Operation: 59-15=44 Current State: 11:[4, 44], Operations: ['91-87=4', '59-15=44'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 52, 56, 97, 87 ]
76
[ "52+56=108", "97+87=184", "184-108=76" ]
Current State: 76:[52, 56, 97, 87], Operations: [] Exploring Operation: 52+56=108, Resulting Numbers: [97, 87, 108] Generated Node #2: [97, 87, 108] from Operation: 52+56=108 Current State: 76:[97, 87, 108], Operations: ['52+56=108'] Exploring Operation: 97+87=184, Resulting Numbers: [108, 184] Generated Node #3: [108, 184] from Operation: 97+87=184 Current State: 76:[108, 184], Operations: ['52+56=108', '97+87=184'] Exploring Operation: 184-108=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 34, 33, 17, 23 ]
12
[ "34/17=2", "33-23=10", "2+10=12" ]
Current State: 12:[34, 33, 17, 23], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [33, 23, 2] Generated Node #2: [33, 23, 2] from Operation: 34/17=2 Current State: 12:[33, 23, 2], Operations: ['34/17=2'] Exploring Operation: 33-23=10, Resulting Numbers: [2, 10] Generated Node #3: [2, 10] from Operation: 33-23=10 Current State: 12:[2, 10], Operations: ['34/17=2', '33-23=10'] Exploring Operation: 2+10=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 85, 31, 51, 39 ]
34
[ "85*39=3315", "3315/51=65", "65-31=34" ]
Current State: 34:[85, 31, 51, 39], Operations: [] Exploring Operation: 85*39=3315, Resulting Numbers: [31, 51, 3315] Generated Node #2: [31, 51, 3315] from Operation: 85*39=3315 Current State: 34:[31, 51, 3315], Operations: ['85*39=3315'] Exploring Operation: 3315/51=65, Resulting Numbers: [31, 65] Generated Node #3: [31, 65] from Operation: 3315/51=65 Current State: 34:[31, 65], Operations: ['85*39=3315', '3315/51=65'] Exploring Operation: 65-31=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 69, 86, 1, 41 ]
58
[ "86-69=17", "1*41=41", "17+41=58" ]
Current State: 58:[69, 86, 1, 41], Operations: [] Exploring Operation: 86-69=17, Resulting Numbers: [1, 41, 17] Generated Node #2: [1, 41, 17] from Operation: 86-69=17 Current State: 58:[1, 41, 17], Operations: ['86-69=17'] Exploring Operation: 1*41=41, Resulting Numbers: [17, 41] Generated Node #3: [17, 41] from Operation: 1*41=41 Current State: 58:[17, 41], Operations: ['86-69=17', '1*41=41'] Exploring Operation: 17+41=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 11, 79, 84, 48 ]
64
[ "79-11=68", "84+48=132", "132-68=64" ]
Current State: 64:[11, 79, 84, 48], Operations: [] Exploring Operation: 79-11=68, Resulting Numbers: [84, 48, 68] Generated Node #2: [84, 48, 68] from Operation: 79-11=68 Current State: 64:[84, 48, 68], Operations: ['79-11=68'] Exploring Operation: 84+48=132, Resulting Numbers: [68, 132] Generated Node #3: [68, 132] from Operation: 84+48=132 Current State: 64:[68, 132], Operations: ['79-11=68', '84+48=132'] Exploring Operation: 132-68=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 36, 60, 72, 56 ]
81
[ "60-56=4", "36/4=9", "72+9=81" ]
Current State: 81:[36, 60, 72, 56], Operations: [] Exploring Operation: 60-56=4, Resulting Numbers: [36, 72, 4] Generated Node #2: [36, 72, 4] from Operation: 60-56=4 Current State: 81:[36, 72, 4], Operations: ['60-56=4'] Exploring Operation: 36/4=9, Resulting Numbers: [72, 9] Generated Node #3: [72, 9] from Operation: 36/4=9 Current State: 81:[72, 9], Operations: ['60-56=4', '36/4=9'] Exploring Operation: 72+9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 69, 46, 80, 22 ]
57
[ "69+46=115", "80-22=58", "115-58=57" ]
Current State: 57:[69, 46, 80, 22], Operations: [] Exploring Operation: 69+46=115, Resulting Numbers: [80, 22, 115] Generated Node #2: [80, 22, 115] from Operation: 69+46=115 Current State: 57:[80, 22, 115], Operations: ['69+46=115'] Exploring Operation: 80-22=58, Resulting Numbers: [115, 58] Generated Node #3: [115, 58] from Operation: 80-22=58 Current State: 57:[115, 58], Operations: ['69+46=115', '80-22=58'] Exploring Operation: 115-58=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 86, 83, 96, 29 ]
64
[ "86-83=3", "96-29=67", "67-3=64" ]
Current State: 64:[86, 83, 96, 29], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [96, 29, 3] Generated Node #2: [96, 29, 3] from Operation: 86-83=3 Current State: 64:[96, 29, 3], Operations: ['86-83=3'] Exploring Operation: 96-29=67, Resulting Numbers: [3, 67] Generated Node #3: [3, 67] from Operation: 96-29=67 Current State: 64:[3, 67], Operations: ['86-83=3', '96-29=67'] Exploring Operation: 67-3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 67, 80, 66, 75 ]
76
[ "75-67=8", "80/8=10", "66+10=76" ]
Current State: 76:[67, 80, 66, 75], Operations: [] Exploring Operation: 75-67=8, Resulting Numbers: [80, 66, 8] Generated Node #2: [80, 66, 8] from Operation: 75-67=8 Current State: 76:[80, 66, 8], Operations: ['75-67=8'] Exploring Operation: 80/8=10, Resulting Numbers: [66, 10] Generated Node #3: [66, 10] from Operation: 80/8=10 Current State: 76:[66, 10], Operations: ['75-67=8', '80/8=10'] Exploring Operation: 66+10=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 26, 72, 84, 96 ]
91
[ "26*84=2184", "96-72=24", "2184/24=91" ]
Current State: 91:[26, 72, 84, 96], Operations: [] Exploring Operation: 26*84=2184, Resulting Numbers: [72, 96, 2184] Generated Node #2: [72, 96, 2184] from Operation: 26*84=2184 Current State: 91:[72, 96, 2184], Operations: ['26*84=2184'] Exploring Operation: 96-72=24, Resulting Numbers: [2184, 24] Generated Node #3: [2184, 24] from Operation: 96-72=24 Current State: 91:[2184, 24], Operations: ['26*84=2184', '96-72=24'] Exploring Operation: 2184/24=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 39, 17, 15, 49 ]
72
[ "39*17=663", "15*49=735", "735-663=72" ]
Current State: 72:[39, 17, 15, 49], Operations: [] Exploring Operation: 39*17=663, Resulting Numbers: [15, 49, 663] Generated Node #2: [15, 49, 663] from Operation: 39*17=663 Current State: 72:[15, 49, 663], Operations: ['39*17=663'] Exploring Operation: 15*49=735, Resulting Numbers: [663, 735] Generated Node #3: [663, 735] from Operation: 15*49=735 Current State: 72:[663, 735], Operations: ['39*17=663', '15*49=735'] Exploring Operation: 735-663=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 20, 13, 62, 5 ]
74
[ "20-13=7", "62+5=67", "7+67=74" ]
Current State: 74:[20, 13, 62, 5], Operations: [] Exploring Operation: 20-13=7, Resulting Numbers: [62, 5, 7] Generated Node #2: [62, 5, 7] from Operation: 20-13=7 Current State: 74:[62, 5, 7], Operations: ['20-13=7'] Exploring Operation: 62+5=67, Resulting Numbers: [7, 67] Generated Node #3: [7, 67] from Operation: 62+5=67 Current State: 74:[7, 67], Operations: ['20-13=7', '62+5=67'] Exploring Operation: 7+67=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 23, 24, 96, 4 ]
20
[ "23*4=92", "96-24=72", "92-72=20" ]
Current State: 20:[23, 24, 96, 4], Operations: [] Exploring Operation: 23*4=92, Resulting Numbers: [24, 96, 92] Generated Node #2: [24, 96, 92] from Operation: 23*4=92 Current State: 20:[24, 96, 92], Operations: ['23*4=92'] Exploring Operation: 96-24=72, Resulting Numbers: [92, 72] Generated Node #3: [92, 72] from Operation: 96-24=72 Current State: 20:[92, 72], Operations: ['23*4=92', '96-24=72'] Exploring Operation: 92-72=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 35, 65, 70, 33 ]
67
[ "65-35=30", "70-33=37", "30+37=67" ]
Current State: 67:[35, 65, 70, 33], Operations: [] Exploring Operation: 65-35=30, Resulting Numbers: [70, 33, 30] Generated Node #2: [70, 33, 30] from Operation: 65-35=30 Current State: 67:[70, 33, 30], Operations: ['65-35=30'] Exploring Operation: 70-33=37, Resulting Numbers: [30, 37] Generated Node #3: [30, 37] from Operation: 70-33=37 Current State: 67:[30, 37], Operations: ['65-35=30', '70-33=37'] Exploring Operation: 30+37=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 40, 69, 74, 25 ]
85
[ "74-69=5", "25*5=125", "125-40=85" ]
Current State: 85:[40, 69, 74, 25], Operations: [] Exploring Operation: 74-69=5, Resulting Numbers: [40, 25, 5] Generated Node #2: [40, 25, 5] from Operation: 74-69=5 Current State: 85:[40, 25, 5], Operations: ['74-69=5'] Exploring Operation: 25*5=125, Resulting Numbers: [40, 125] Generated Node #3: [40, 125] from Operation: 25*5=125 Current State: 85:[40, 125], Operations: ['74-69=5', '25*5=125'] Exploring Operation: 125-40=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 83, 14, 33, 39 ]
86
[ "33*39=1287", "1287-83=1204", "1204/14=86" ]
Current State: 86:[83, 14, 33, 39], Operations: [] Exploring Operation: 33*39=1287, Resulting Numbers: [83, 14, 1287] Generated Node #2: [83, 14, 1287] from Operation: 33*39=1287 Current State: 86:[83, 14, 1287], Operations: ['33*39=1287'] Exploring Operation: 1287-83=1204, Resulting Numbers: [14, 1204] Generated Node #3: [14, 1204] from Operation: 1287-83=1204 Current State: 86:[14, 1204], Operations: ['33*39=1287', '1287-83=1204'] Exploring Operation: 1204/14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 14, 10, 56, 36 ]
22
[ "14-10=4", "56/4=14", "36-14=22" ]
Current State: 22:[14, 10, 56, 36], Operations: [] Exploring Operation: 14-10=4, Resulting Numbers: [56, 36, 4] Generated Node #2: [56, 36, 4] from Operation: 14-10=4 Current State: 22:[56, 36, 4], Operations: ['14-10=4'] Exploring Operation: 56/4=14, Resulting Numbers: [36, 14] Generated Node #3: [36, 14] from Operation: 56/4=14 Current State: 22:[36, 14], Operations: ['14-10=4', '56/4=14'] Exploring Operation: 36-14=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 69, 33, 22, 81 ]
15
[ "22*81=1782", "1782/33=54", "69-54=15" ]
Current State: 15:[69, 33, 22, 81], Operations: [] Exploring Operation: 22*81=1782, Resulting Numbers: [69, 33, 1782] Generated Node #2: [69, 33, 1782] from Operation: 22*81=1782 Current State: 15:[69, 33, 1782], Operations: ['22*81=1782'] Exploring Operation: 1782/33=54, Resulting Numbers: [69, 54] Generated Node #3: [69, 54] from Operation: 1782/33=54 Current State: 15:[69, 54], Operations: ['22*81=1782', '1782/33=54'] Exploring Operation: 69-54=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 60, 68, 69, 60 ]
68
[ "60-60=0", "69*0=0", "68+0=68" ]
Current State: 68:[60, 68, 69, 60], Operations: [] Exploring Operation: 60-60=0, Resulting Numbers: [68, 69, 0] Generated Node #2: [68, 69, 0] from Operation: 60-60=0 Current State: 68:[68, 69, 0], Operations: ['60-60=0'] Exploring Operation: 69*0=0, Resulting Numbers: [68, 0] Generated Node #3: [68, 0] from Operation: 69*0=0 Current State: 68:[68, 0], Operations: ['60-60=0', '69*0=0'] Exploring Operation: 68+0=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 68, 3, 21 ]
46
[ "2+68=70", "3+21=24", "70-24=46" ]
Current State: 46:[2, 68, 3, 21], Operations: [] Exploring Operation: 2+68=70, Resulting Numbers: [3, 21, 70] Generated Node #2: [3, 21, 70] from Operation: 2+68=70 Current State: 46:[3, 21, 70], Operations: ['2+68=70'] Exploring Operation: 3+21=24, Resulting Numbers: [70, 24] Generated Node #3: [70, 24] from Operation: 3+21=24 Current State: 46:[70, 24], Operations: ['2+68=70', '3+21=24'] Exploring Operation: 70-24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 34, 53, 33, 69 ]
56
[ "33+69=102", "102/34=3", "53+3=56" ]
Current State: 56:[34, 53, 33, 69], Operations: [] Exploring Operation: 33+69=102, Resulting Numbers: [34, 53, 102] Generated Node #2: [34, 53, 102] from Operation: 33+69=102 Current State: 56:[34, 53, 102], Operations: ['33+69=102'] Exploring Operation: 102/34=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 102/34=3 Current State: 56:[53, 3], Operations: ['33+69=102', '102/34=3'] Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 12, 65, 68, 64 ]
52
[ "12+68=80", "65*64=4160", "4160/80=52" ]
Current State: 52:[12, 65, 68, 64], Operations: [] Exploring Operation: 12+68=80, Resulting Numbers: [65, 64, 80] Generated Node #2: [65, 64, 80] from Operation: 12+68=80 Current State: 52:[65, 64, 80], Operations: ['12+68=80'] Exploring Operation: 65*64=4160, Resulting Numbers: [80, 4160] Generated Node #3: [80, 4160] from Operation: 65*64=4160 Current State: 52:[80, 4160], Operations: ['12+68=80', '65*64=4160'] Exploring Operation: 4160/80=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 20, 11, 4, 40 ]
16
[ "20+40=60", "11*4=44", "60-44=16" ]
Current State: 16:[20, 11, 4, 40], Operations: [] Exploring Operation: 20+40=60, Resulting Numbers: [11, 4, 60] Generated Node #2: [11, 4, 60] from Operation: 20+40=60 Current State: 16:[11, 4, 60], Operations: ['20+40=60'] Exploring Operation: 11*4=44, Resulting Numbers: [60, 44] Generated Node #3: [60, 44] from Operation: 11*4=44 Current State: 16:[60, 44], Operations: ['20+40=60', '11*4=44'] Exploring Operation: 60-44=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 91, 56, 65, 13 ]
48
[ "65+13=78", "56*78=4368", "4368/91=48" ]
Current State: 48:[91, 56, 65, 13], Operations: [] Exploring Operation: 65+13=78, Resulting Numbers: [91, 56, 78] Generated Node #2: [91, 56, 78] from Operation: 65+13=78 Current State: 48:[91, 56, 78], Operations: ['65+13=78'] Exploring Operation: 56*78=4368, Resulting Numbers: [91, 4368] Generated Node #3: [91, 4368] from Operation: 56*78=4368 Current State: 48:[91, 4368], Operations: ['65+13=78', '56*78=4368'] Exploring Operation: 4368/91=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 86, 98, 11, 9 ]
10
[ "98-86=12", "11-9=2", "12-2=10" ]
Current State: 10:[86, 98, 11, 9], Operations: [] Exploring Operation: 98-86=12, Resulting Numbers: [11, 9, 12] Generated Node #2: [11, 9, 12] from Operation: 98-86=12 Current State: 10:[11, 9, 12], Operations: ['98-86=12'] Exploring Operation: 11-9=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 11-9=2 Current State: 10:[12, 2], Operations: ['98-86=12', '11-9=2'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4