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
[ 46, 94, 11, 83 ]
47
[ "94-11=83", "83/83=1", "46+1=47" ]
Current State: 47:[46, 94, 11, 83], Operations: [] Exploring Operation: 94-11=83, Resulting Numbers: [46, 83, 83] Generated Node #2: [46, 83, 83] from Operation: 94-11=83 Current State: 47:[46, 83, 83], Operations: ['94-11=83'] Exploring Operation: 83/83=1, Resulting Numbers: [46, 1] Generated Node #3: [46, 1] from Operation: 83/83=1 Current State: 47:[46, 1], Operations: ['94-11=83', '83/83=1'] Exploring Operation: 46+1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 71, 47, 21, 33 ]
36
[ "71-47=24", "33-21=12", "24+12=36" ]
Current State: 36:[71, 47, 21, 33], Operations: [] Exploring Operation: 71-47=24, Resulting Numbers: [21, 33, 24] Generated Node #2: [21, 33, 24] from Operation: 71-47=24 Current State: 36:[21, 33, 24], Operations: ['71-47=24'] Exploring Operation: 33-21=12, Resulting Numbers: [24, 12] Generated Node #3: [24, 12] from Operation: 33-21=12 Current State: 36:[24, 12], Operations: ['71-47=24', '33-21=12'] Exploring Operation: 24+12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 12, 33, 12, 19 ]
28
[ "33-12=21", "19-12=7", "21+7=28" ]
Current State: 28:[12, 33, 12, 19], Operations: [] Exploring Operation: 33-12=21, Resulting Numbers: [19, 21] Generated Node #2: [19, 21] from Operation: 33-12=21 Current State: 28:[19, 21], Operations: ['33-12=21'] Exploring Operation: 19-12=7, Resulting Numbers: [21, 7] Generated Node #3: [21, 7] from Operation: 19-12=7 Current State: 28:[21, 7], Operations: ['33-12=21', '19-12=7'] Exploring Operation: 21+7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 47, 78, 81, 79 ]
16
[ "81-79=2", "47*2=94", "94-78=16" ]
Current State: 16:[47, 78, 81, 79], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [47, 78, 2] Generated Node #2: [47, 78, 2] from Operation: 81-79=2 Current State: 16:[47, 78, 2], Operations: ['81-79=2'] Exploring Operation: 47*2=94, Resulting Numbers: [78, 94] Generated Node #3: [78, 94] from Operation: 47*2=94 Current State: 16:[78, 94], Operations: ['81-79=2', '47*2=94'] Exploring Operation: 94-78=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 88, 32, 40, 3 ]
68
[ "88-3=85", "32*85=2720", "2720/40=68" ]
Current State: 68:[88, 32, 40, 3], Operations: [] Exploring Operation: 88-3=85, Resulting Numbers: [32, 40, 85] Generated Node #2: [32, 40, 85] from Operation: 88-3=85 Current State: 68:[32, 40, 85], Operations: ['88-3=85'] Exploring Operation: 32*85=2720, Resulting Numbers: [40, 2720] Generated Node #3: [40, 2720] from Operation: 32*85=2720 Current State: 68:[40, 2720], Operations: ['88-3=85', '32*85=2720'] Exploring Operation: 2720/40=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 31, 83, 1, 38 ]
76
[ "31+83=114", "1*38=38", "114-38=76" ]
Current State: 76:[31, 83, 1, 38], Operations: [] Exploring Operation: 31+83=114, Resulting Numbers: [1, 38, 114] Generated Node #2: [1, 38, 114] from Operation: 31+83=114 Current State: 76:[1, 38, 114], Operations: ['31+83=114'] Exploring Operation: 1*38=38, Resulting Numbers: [114, 38] Generated Node #3: [114, 38] from Operation: 1*38=38 Current State: 76:[114, 38], Operations: ['31+83=114', '1*38=38'] Exploring Operation: 114-38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 62, 92, 95, 57 ]
18
[ "92-62=30", "57*30=1710", "1710/95=18" ]
Current State: 18:[62, 92, 95, 57], Operations: [] Exploring Operation: 92-62=30, Resulting Numbers: [95, 57, 30] Generated Node #2: [95, 57, 30] from Operation: 92-62=30 Current State: 18:[95, 57, 30], Operations: ['92-62=30'] Exploring Operation: 57*30=1710, Resulting Numbers: [95, 1710] Generated Node #3: [95, 1710] from Operation: 57*30=1710 Current State: 18:[95, 1710], Operations: ['92-62=30', '57*30=1710'] Exploring Operation: 1710/95=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 58, 19, 38, 66 ]
91
[ "38/19=2", "66/2=33", "58+33=91" ]
Current State: 91:[58, 19, 38, 66], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [58, 66, 2] Generated Node #2: [58, 66, 2] from Operation: 38/19=2 Current State: 91:[58, 66, 2], Operations: ['38/19=2'] Exploring Operation: 66/2=33, Resulting Numbers: [58, 33] Generated Node #3: [58, 33] from Operation: 66/2=33 Current State: 91:[58, 33], Operations: ['38/19=2', '66/2=33'] Exploring Operation: 58+33=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 16, 20, 32, 23 ]
60
[ "20-16=4", "23*4=92", "92-32=60" ]
Current State: 60:[16, 20, 32, 23], Operations: [] Exploring Operation: 20-16=4, Resulting Numbers: [32, 23, 4] Generated Node #2: [32, 23, 4] from Operation: 20-16=4 Current State: 60:[32, 23, 4], Operations: ['20-16=4'] Exploring Operation: 23*4=92, Resulting Numbers: [32, 92] Generated Node #3: [32, 92] from Operation: 23*4=92 Current State: 60:[32, 92], Operations: ['20-16=4', '23*4=92'] Exploring Operation: 92-32=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 44, 62, 4, 64 ]
67
[ "64-44=20", "20/4=5", "62+5=67" ]
Current State: 67:[44, 62, 4, 64], Operations: [] Exploring Operation: 64-44=20, Resulting Numbers: [62, 4, 20] Generated Node #2: [62, 4, 20] from Operation: 64-44=20 Current State: 67:[62, 4, 20], Operations: ['64-44=20'] Exploring Operation: 20/4=5, Resulting Numbers: [62, 5] Generated Node #3: [62, 5] from Operation: 20/4=5 Current State: 67:[62, 5], Operations: ['64-44=20', '20/4=5'] Exploring Operation: 62+5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 15, 71, 70, 83 ]
73
[ "15+71=86", "83-70=13", "86-13=73" ]
Current State: 73:[15, 71, 70, 83], Operations: [] Exploring Operation: 15+71=86, Resulting Numbers: [70, 83, 86] Generated Node #2: [70, 83, 86] from Operation: 15+71=86 Current State: 73:[70, 83, 86], Operations: ['15+71=86'] Exploring Operation: 83-70=13, Resulting Numbers: [86, 13] Generated Node #3: [86, 13] from Operation: 83-70=13 Current State: 73:[86, 13], Operations: ['15+71=86', '83-70=13'] Exploring Operation: 86-13=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 64, 8, 15, 56 ]
33
[ "64/8=8", "56-15=41", "41-8=33" ]
Current State: 33:[64, 8, 15, 56], Operations: [] Exploring Operation: 64/8=8, Resulting Numbers: [15, 56, 8] Generated Node #2: [15, 56, 8] from Operation: 64/8=8 Current State: 33:[15, 56, 8], Operations: ['64/8=8'] Exploring Operation: 56-15=41, Resulting Numbers: [8, 41] Generated Node #3: [8, 41] from Operation: 56-15=41 Current State: 33:[8, 41], Operations: ['64/8=8', '56-15=41'] Exploring Operation: 41-8=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 10, 21, 20, 62 ]
39
[ "20/10=2", "62-21=41", "41-2=39" ]
Current State: 39:[10, 21, 20, 62], Operations: [] Exploring Operation: 20/10=2, Resulting Numbers: [21, 62, 2] Generated Node #2: [21, 62, 2] from Operation: 20/10=2 Current State: 39:[21, 62, 2], Operations: ['20/10=2'] Exploring Operation: 62-21=41, Resulting Numbers: [2, 41] Generated Node #3: [2, 41] from Operation: 62-21=41 Current State: 39:[2, 41], Operations: ['20/10=2', '62-21=41'] Exploring Operation: 41-2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 13, 54, 41, 32 ]
50
[ "54-13=41", "41-32=9", "41+9=50" ]
Current State: 50:[13, 54, 41, 32], Operations: [] Exploring Operation: 54-13=41, Resulting Numbers: [41, 32, 41] Generated Node #2: [41, 32, 41] from Operation: 54-13=41 Current State: 50:[41, 32, 41], Operations: ['54-13=41'] Exploring Operation: 41-32=9, Resulting Numbers: [9] 9,50 equal: Goal Reached Exploring Operation: 41+9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 8, 72, 66, 64 ]
56
[ "66-64=2", "8*2=16", "72-16=56" ]
Current State: 56:[8, 72, 66, 64], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [8, 72, 2] Generated Node #2: [8, 72, 2] from Operation: 66-64=2 Current State: 56:[8, 72, 2], Operations: ['66-64=2'] Exploring Operation: 8*2=16, Resulting Numbers: [72, 16] Generated Node #3: [72, 16] from Operation: 8*2=16 Current State: 56:[72, 16], Operations: ['66-64=2', '8*2=16'] Exploring Operation: 72-16=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 27, 66, 45, 21 ]
89
[ "66*45=2970", "2970/27=110", "110-21=89" ]
Current State: 89:[27, 66, 45, 21], Operations: [] Exploring Operation: 66*45=2970, Resulting Numbers: [27, 21, 2970] Generated Node #2: [27, 21, 2970] from Operation: 66*45=2970 Current State: 89:[27, 21, 2970], Operations: ['66*45=2970'] Exploring Operation: 2970/27=110, Resulting Numbers: [21, 110] Generated Node #3: [21, 110] from Operation: 2970/27=110 Current State: 89:[21, 110], Operations: ['66*45=2970', '2970/27=110'] Exploring Operation: 110-21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 91, 48, 48, 60 ]
31
[ "91+48=139", "48+60=108", "139-108=31" ]
Current State: 31:[91, 48, 48, 60], Operations: [] Exploring Operation: 91+48=139, Resulting Numbers: [60, 139] Generated Node #2: [60, 139] from Operation: 91+48=139 Current State: 31:[60, 139], Operations: ['91+48=139'] Exploring Operation: 48+60=108, Resulting Numbers: [139, 108] Generated Node #3: [139, 108] from Operation: 48+60=108 Current State: 31:[139, 108], Operations: ['91+48=139', '48+60=108'] Exploring Operation: 139-108=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 33, 75, 24, 19 ]
47
[ "75-33=42", "24-19=5", "42+5=47" ]
Current State: 47:[33, 75, 24, 19], Operations: [] Exploring Operation: 75-33=42, Resulting Numbers: [24, 19, 42] Generated Node #2: [24, 19, 42] from Operation: 75-33=42 Current State: 47:[24, 19, 42], Operations: ['75-33=42'] Exploring Operation: 24-19=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 24-19=5 Current State: 47:[42, 5], Operations: ['75-33=42', '24-19=5'] Exploring Operation: 42+5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 17, 17, 2, 11 ]
79
[ "17+17=34", "2*34=68", "11+68=79" ]
Current State: 79:[17, 17, 2, 11], Operations: [] Exploring Operation: 17+17=34, Resulting Numbers: [2, 11, 34] Generated Node #2: [2, 11, 34] from Operation: 17+17=34 Current State: 79:[2, 11, 34], Operations: ['17+17=34'] Exploring Operation: 2*34=68, Resulting Numbers: [11, 68] Generated Node #3: [11, 68] from Operation: 2*34=68 Current State: 79:[11, 68], Operations: ['17+17=34', '2*34=68'] Exploring Operation: 11+68=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 89, 17, 10, 58 ]
58
[ "89+17=106", "58-10=48", "106-48=58" ]
Current State: 58:[89, 17, 10, 58], Operations: [] Exploring Operation: 89+17=106, Resulting Numbers: [10, 58, 106] Generated Node #2: [10, 58, 106] from Operation: 89+17=106 Current State: 58:[10, 58, 106], Operations: ['89+17=106'] Exploring Operation: 58-10=48, Resulting Numbers: [106, 48] Generated Node #3: [106, 48] from Operation: 58-10=48 Current State: 58:[106, 48], Operations: ['89+17=106', '58-10=48'] Exploring Operation: 106-48=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 45, 92, 95, 94 ]
79
[ "95-92=3", "45/3=15", "94-15=79" ]
Current State: 79:[45, 92, 95, 94], Operations: [] Exploring Operation: 95-92=3, Resulting Numbers: [45, 94, 3] Generated Node #2: [45, 94, 3] from Operation: 95-92=3 Current State: 79:[45, 94, 3], Operations: ['95-92=3'] Exploring Operation: 45/3=15, Resulting Numbers: [94, 15] Generated Node #3: [94, 15] from Operation: 45/3=15 Current State: 79:[94, 15], Operations: ['95-92=3', '45/3=15'] Exploring Operation: 94-15=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 10, 15, 25, 16 ]
34
[ "10+15=25", "25-16=9", "25+9=34" ]
Current State: 34:[10, 15, 25, 16], Operations: [] Exploring Operation: 10+15=25, Resulting Numbers: [25, 16, 25] Generated Node #2: [25, 16, 25] from Operation: 10+15=25 Current State: 34:[25, 16, 25], Operations: ['10+15=25'] Exploring Operation: 25-16=9, Resulting Numbers: [9] 9,34 equal: Goal Reached Exploring Operation: 25+9=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 78, 19, 85, 17 ]
14
[ "85-78=7", "19-17=2", "7*2=14" ]
Current State: 14:[78, 19, 85, 17], Operations: [] Exploring Operation: 85-78=7, Resulting Numbers: [19, 17, 7] Generated Node #2: [19, 17, 7] from Operation: 85-78=7 Current State: 14:[19, 17, 7], Operations: ['85-78=7'] Exploring Operation: 19-17=2, Resulting Numbers: [7, 2] Generated Node #3: [7, 2] from Operation: 19-17=2 Current State: 14:[7, 2], Operations: ['85-78=7', '19-17=2'] Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 27, 74, 7, 48 ]
16
[ "27*48=1296", "74+7=81", "1296/81=16" ]
Current State: 16:[27, 74, 7, 48], Operations: [] Exploring Operation: 27*48=1296, Resulting Numbers: [74, 7, 1296] Generated Node #2: [74, 7, 1296] from Operation: 27*48=1296 Current State: 16:[74, 7, 1296], Operations: ['27*48=1296'] Exploring Operation: 74+7=81, Resulting Numbers: [1296, 81] Generated Node #3: [1296, 81] from Operation: 74+7=81 Current State: 16:[1296, 81], Operations: ['27*48=1296', '74+7=81'] Exploring Operation: 1296/81=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 68, 62, 36, 12 ]
33
[ "62*36=2232", "12+2232=2244", "2244/68=33" ]
Current State: 33:[68, 62, 36, 12], Operations: [] Exploring Operation: 62*36=2232, Resulting Numbers: [68, 12, 2232] Generated Node #2: [68, 12, 2232] from Operation: 62*36=2232 Current State: 33:[68, 12, 2232], Operations: ['62*36=2232'] Exploring Operation: 12+2232=2244, Resulting Numbers: [68, 2244] Generated Node #3: [68, 2244] from Operation: 12+2232=2244 Current State: 33:[68, 2244], Operations: ['62*36=2232', '12+2232=2244'] Exploring Operation: 2244/68=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 29, 21, 66, 50 ]
17
[ "66+50=116", "116/29=4", "21-4=17" ]
Current State: 17:[29, 21, 66, 50], Operations: [] Exploring Operation: 66+50=116, Resulting Numbers: [29, 21, 116] Generated Node #2: [29, 21, 116] from Operation: 66+50=116 Current State: 17:[29, 21, 116], Operations: ['66+50=116'] Exploring Operation: 116/29=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 116/29=4 Current State: 17:[21, 4], Operations: ['66+50=116', '116/29=4'] Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 52, 60, 5, 38 ]
35
[ "60-52=8", "5+38=43", "43-8=35" ]
Current State: 35:[52, 60, 5, 38], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [5, 38, 8] Generated Node #2: [5, 38, 8] from Operation: 60-52=8 Current State: 35:[5, 38, 8], Operations: ['60-52=8'] Exploring Operation: 5+38=43, Resulting Numbers: [8, 43] Generated Node #3: [8, 43] from Operation: 5+38=43 Current State: 35:[8, 43], Operations: ['60-52=8', '5+38=43'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 66, 58, 42, 99 ]
24
[ "58-42=16", "99*16=1584", "1584/66=24" ]
Current State: 24:[66, 58, 42, 99], Operations: [] Exploring Operation: 58-42=16, Resulting Numbers: [66, 99, 16] Generated Node #2: [66, 99, 16] from Operation: 58-42=16 Current State: 24:[66, 99, 16], Operations: ['58-42=16'] Exploring Operation: 99*16=1584, Resulting Numbers: [66, 1584] Generated Node #3: [66, 1584] from Operation: 99*16=1584 Current State: 24:[66, 1584], Operations: ['58-42=16', '99*16=1584'] Exploring Operation: 1584/66=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 29, 52, 57, 22 ]
56
[ "52-29=23", "57+22=79", "79-23=56" ]
Current State: 56:[29, 52, 57, 22], Operations: [] Exploring Operation: 52-29=23, Resulting Numbers: [57, 22, 23] Generated Node #2: [57, 22, 23] from Operation: 52-29=23 Current State: 56:[57, 22, 23], Operations: ['52-29=23'] Exploring Operation: 57+22=79, Resulting Numbers: [23, 79] Generated Node #3: [23, 79] from Operation: 57+22=79 Current State: 56:[23, 79], Operations: ['52-29=23', '57+22=79'] Exploring Operation: 79-23=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 2, 83, 41, 47 ]
48
[ "2*41=82", "83+47=130", "130-82=48" ]
Current State: 48:[2, 83, 41, 47], Operations: [] Exploring Operation: 2*41=82, Resulting Numbers: [83, 47, 82] Generated Node #2: [83, 47, 82] from Operation: 2*41=82 Current State: 48:[83, 47, 82], Operations: ['2*41=82'] Exploring Operation: 83+47=130, Resulting Numbers: [82, 130] Generated Node #3: [82, 130] from Operation: 83+47=130 Current State: 48:[82, 130], Operations: ['2*41=82', '83+47=130'] Exploring Operation: 130-82=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 53, 38, 91, 85 ]
84
[ "53+38=91", "91/91=1", "85-1=84" ]
Current State: 84:[53, 38, 91, 85], Operations: [] Exploring Operation: 53+38=91, Resulting Numbers: [91, 85, 91] Generated Node #2: [91, 85, 91] from Operation: 53+38=91 Current State: 84:[91, 85, 91], Operations: ['53+38=91'] Exploring Operation: 91/91=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 91/91=1 Current State: 84:[85, 1], Operations: ['53+38=91', '91/91=1'] Exploring Operation: 85-1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 28, 68, 78, 19 ]
99
[ "68-28=40", "78-19=59", "40+59=99" ]
Current State: 99:[28, 68, 78, 19], Operations: [] Exploring Operation: 68-28=40, Resulting Numbers: [78, 19, 40] Generated Node #2: [78, 19, 40] from Operation: 68-28=40 Current State: 99:[78, 19, 40], Operations: ['68-28=40'] Exploring Operation: 78-19=59, Resulting Numbers: [40, 59] Generated Node #3: [40, 59] from Operation: 78-19=59 Current State: 99:[40, 59], Operations: ['68-28=40', '78-19=59'] Exploring Operation: 40+59=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 63, 32, 13, 11 ]
94
[ "13-11=2", "63*2=126", "126-32=94" ]
Current State: 94:[63, 32, 13, 11], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [63, 32, 2] Generated Node #2: [63, 32, 2] from Operation: 13-11=2 Current State: 94:[63, 32, 2], Operations: ['13-11=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: ['13-11=2', '63*2=126'] Exploring Operation: 126-32=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 70, 6, 8, 60 ]
60
[ "70*6=420", "8*60=480", "480-420=60" ]
Current State: 60:[70, 6, 8, 60], Operations: [] Exploring Operation: 70*6=420, Resulting Numbers: [8, 60, 420] Generated Node #2: [8, 60, 420] from Operation: 70*6=420 Current State: 60:[8, 60, 420], Operations: ['70*6=420'] Exploring Operation: 8*60=480, Resulting Numbers: [420, 480] Generated Node #3: [420, 480] from Operation: 8*60=480 Current State: 60:[420, 480], Operations: ['70*6=420', '8*60=480'] Exploring Operation: 480-420=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 58, 52, 56, 36 ]
14
[ "58-52=6", "56-36=20", "20-6=14" ]
Current State: 14:[58, 52, 56, 36], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [56, 36, 6] Generated Node #2: [56, 36, 6] from Operation: 58-52=6 Current State: 14:[56, 36, 6], Operations: ['58-52=6'] Exploring Operation: 56-36=20, Resulting Numbers: [6, 20] Generated Node #3: [6, 20] from Operation: 56-36=20 Current State: 14:[6, 20], Operations: ['58-52=6', '56-36=20'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 99, 13, 46, 89 ]
49
[ "99-13=86", "46+89=135", "135-86=49" ]
Current State: 49:[99, 13, 46, 89], Operations: [] Exploring Operation: 99-13=86, Resulting Numbers: [46, 89, 86] Generated Node #2: [46, 89, 86] from Operation: 99-13=86 Current State: 49:[46, 89, 86], Operations: ['99-13=86'] Exploring Operation: 46+89=135, Resulting Numbers: [86, 135] Generated Node #3: [86, 135] from Operation: 46+89=135 Current State: 49:[86, 135], Operations: ['99-13=86', '46+89=135'] Exploring Operation: 135-86=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 31, 97, 60, 32 ]
37
[ "32-31=1", "97-60=37", "1*37=37" ]
Current State: 37:[31, 97, 60, 32], Operations: [] Exploring Operation: 32-31=1, Resulting Numbers: [97, 60, 1] Generated Node #2: [97, 60, 1] from Operation: 32-31=1 Current State: 37:[97, 60, 1], Operations: ['32-31=1'] Exploring Operation: 97-60=37, Resulting Numbers: [1, 37] Generated Node #3: [1, 37] from Operation: 97-60=37 Current State: 37:[1, 37], Operations: ['32-31=1', '97-60=37'] Exploring Operation: 1*37=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 8, 2, 82, 26 ]
63
[ "82-8=74", "74/2=37", "26+37=63" ]
Current State: 63:[8, 2, 82, 26], Operations: [] Exploring Operation: 82-8=74, Resulting Numbers: [2, 26, 74] Generated Node #2: [2, 26, 74] from Operation: 82-8=74 Current State: 63:[2, 26, 74], Operations: ['82-8=74'] Exploring Operation: 74/2=37, Resulting Numbers: [26, 37] Generated Node #3: [26, 37] from Operation: 74/2=37 Current State: 63:[26, 37], Operations: ['82-8=74', '74/2=37'] Exploring Operation: 26+37=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 77, 91, 91, 52 ]
33
[ "91-52=39", "77*39=3003", "3003/91=33" ]
Current State: 33:[77, 91, 91, 52], Operations: [] Exploring Operation: 91-52=39, Resulting Numbers: [77, 39] Generated Node #2: [77, 39] from Operation: 91-52=39 Current State: 33:[77, 39], Operations: ['91-52=39'] Exploring Operation: 77*39=3003, Resulting Numbers: [3003] 3003,33 equal: Goal Reached Exploring Operation: 3003/91=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 17, 20, 20, 16 ]
33
[ "17+20=37", "20-16=4", "37-4=33" ]
Current State: 33:[17, 20, 20, 16], Operations: [] Exploring Operation: 17+20=37, Resulting Numbers: [16, 37] Generated Node #2: [16, 37] from Operation: 17+20=37 Current State: 33:[16, 37], Operations: ['17+20=37'] Exploring Operation: 20-16=4, Resulting Numbers: [37, 4] Generated Node #3: [37, 4] from Operation: 20-16=4 Current State: 33:[37, 4], Operations: ['17+20=37', '20-16=4'] Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 59, 70, 38, 56 ]
36
[ "59-56=3", "70+38=108", "108/3=36" ]
Current State: 36:[59, 70, 38, 56], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [70, 38, 3] Generated Node #2: [70, 38, 3] from Operation: 59-56=3 Current State: 36:[70, 38, 3], Operations: ['59-56=3'] Exploring Operation: 70+38=108, Resulting Numbers: [3, 108] Generated Node #3: [3, 108] from Operation: 70+38=108 Current State: 36:[3, 108], Operations: ['59-56=3', '70+38=108'] Exploring Operation: 108/3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 7, 64, 50, 32 ]
39
[ "64-7=57", "50-32=18", "57-18=39" ]
Current State: 39:[7, 64, 50, 32], Operations: [] Exploring Operation: 64-7=57, Resulting Numbers: [50, 32, 57] Generated Node #2: [50, 32, 57] from Operation: 64-7=57 Current State: 39:[50, 32, 57], Operations: ['64-7=57'] Exploring Operation: 50-32=18, Resulting Numbers: [57, 18] Generated Node #3: [57, 18] from Operation: 50-32=18 Current State: 39:[57, 18], Operations: ['64-7=57', '50-32=18'] Exploring Operation: 57-18=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 5, 80, 15, 50 ]
81
[ "80/5=16", "15+50=65", "16+65=81" ]
Current State: 81:[5, 80, 15, 50], Operations: [] Exploring Operation: 80/5=16, Resulting Numbers: [15, 50, 16] Generated Node #2: [15, 50, 16] from Operation: 80/5=16 Current State: 81:[15, 50, 16], Operations: ['80/5=16'] Exploring Operation: 15+50=65, Resulting Numbers: [16, 65] Generated Node #3: [16, 65] from Operation: 15+50=65 Current State: 81:[16, 65], Operations: ['80/5=16', '15+50=65'] Exploring Operation: 16+65=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 56, 50, 72, 45 ]
24
[ "50*72=3600", "3600/45=80", "80-56=24" ]
Current State: 24:[56, 50, 72, 45], Operations: [] Exploring Operation: 50*72=3600, Resulting Numbers: [56, 45, 3600] Generated Node #2: [56, 45, 3600] from Operation: 50*72=3600 Current State: 24:[56, 45, 3600], Operations: ['50*72=3600'] Exploring Operation: 3600/45=80, Resulting Numbers: [56, 80] Generated Node #3: [56, 80] from Operation: 3600/45=80 Current State: 24:[56, 80], Operations: ['50*72=3600', '3600/45=80'] Exploring Operation: 80-56=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 68, 82, 85, 99 ]
35
[ "85-82=3", "99/3=33", "68-33=35" ]
Current State: 35:[68, 82, 85, 99], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [68, 99, 3] Generated Node #2: [68, 99, 3] from Operation: 85-82=3 Current State: 35:[68, 99, 3], Operations: ['85-82=3'] Exploring Operation: 99/3=33, Resulting Numbers: [68, 33] Generated Node #3: [68, 33] from Operation: 99/3=33 Current State: 35:[68, 33], Operations: ['85-82=3', '99/3=33'] Exploring Operation: 68-33=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 89, 87, 70 ]
64
[ "4+89=93", "87+70=157", "157-93=64" ]
Current State: 64:[4, 89, 87, 70], Operations: [] Exploring Operation: 4+89=93, Resulting Numbers: [87, 70, 93] Generated Node #2: [87, 70, 93] from Operation: 4+89=93 Current State: 64:[87, 70, 93], Operations: ['4+89=93'] Exploring Operation: 87+70=157, Resulting Numbers: [93, 157] Generated Node #3: [93, 157] from Operation: 87+70=157 Current State: 64:[93, 157], Operations: ['4+89=93', '87+70=157'] Exploring Operation: 157-93=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 2, 27, 25, 64 ]
76
[ "2*64=128", "27+25=52", "128-52=76" ]
Current State: 76:[2, 27, 25, 64], Operations: [] Exploring Operation: 2*64=128, Resulting Numbers: [27, 25, 128] Generated Node #2: [27, 25, 128] from Operation: 2*64=128 Current State: 76:[27, 25, 128], Operations: ['2*64=128'] Exploring Operation: 27+25=52, Resulting Numbers: [128, 52] Generated Node #3: [128, 52] from Operation: 27+25=52 Current State: 76:[128, 52], Operations: ['2*64=128', '27+25=52'] Exploring Operation: 128-52=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 32, 97, 80, 36 ]
68
[ "36-32=4", "97-80=17", "4*17=68" ]
Current State: 68:[32, 97, 80, 36], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [97, 80, 4] Generated Node #2: [97, 80, 4] from Operation: 36-32=4 Current State: 68:[97, 80, 4], Operations: ['36-32=4'] Exploring Operation: 97-80=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 97-80=17 Current State: 68:[4, 17], Operations: ['36-32=4', '97-80=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 6, 8, 36, 43 ]
90
[ "36-8=28", "43-28=15", "6*15=90" ]
Current State: 90:[6, 8, 36, 43], Operations: [] Exploring Operation: 36-8=28, Resulting Numbers: [6, 43, 28] Generated Node #2: [6, 43, 28] from Operation: 36-8=28 Current State: 90:[6, 43, 28], Operations: ['36-8=28'] Exploring Operation: 43-28=15, Resulting Numbers: [6, 15] Generated Node #3: [6, 15] from Operation: 43-28=15 Current State: 90:[6, 15], Operations: ['36-8=28', '43-28=15'] Exploring Operation: 6*15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 6, 58, 68, 16 ]
32
[ "58-6=52", "68+16=84", "84-52=32" ]
Current State: 32:[6, 58, 68, 16], Operations: [] Exploring Operation: 58-6=52, Resulting Numbers: [68, 16, 52] Generated Node #2: [68, 16, 52] from Operation: 58-6=52 Current State: 32:[68, 16, 52], Operations: ['58-6=52'] Exploring Operation: 68+16=84, Resulting Numbers: [52, 84] Generated Node #3: [52, 84] from Operation: 68+16=84 Current State: 32:[52, 84], Operations: ['58-6=52', '68+16=84'] Exploring Operation: 84-52=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 99, 27, 17, 37 ]
35
[ "99+37=136", "136/17=8", "27+8=35" ]
Current State: 35:[99, 27, 17, 37], Operations: [] Exploring Operation: 99+37=136, Resulting Numbers: [27, 17, 136] Generated Node #2: [27, 17, 136] from Operation: 99+37=136 Current State: 35:[27, 17, 136], Operations: ['99+37=136'] Exploring Operation: 136/17=8, Resulting Numbers: [27, 8] Generated Node #3: [27, 8] from Operation: 136/17=8 Current State: 35:[27, 8], Operations: ['99+37=136', '136/17=8'] Exploring Operation: 27+8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 92, 12, 93, 72 ]
61
[ "92+12=104", "93+72=165", "165-104=61" ]
Current State: 61:[92, 12, 93, 72], Operations: [] Exploring Operation: 92+12=104, Resulting Numbers: [93, 72, 104] Generated Node #2: [93, 72, 104] from Operation: 92+12=104 Current State: 61:[93, 72, 104], Operations: ['92+12=104'] Exploring Operation: 93+72=165, Resulting Numbers: [104, 165] Generated Node #3: [104, 165] from Operation: 93+72=165 Current State: 61:[104, 165], Operations: ['92+12=104', '93+72=165'] Exploring Operation: 165-104=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 11, 9, 48, 69 ]
51
[ "11*48=528", "528-69=459", "459/9=51" ]
Current State: 51:[11, 9, 48, 69], Operations: [] Exploring Operation: 11*48=528, Resulting Numbers: [9, 69, 528] Generated Node #2: [9, 69, 528] from Operation: 11*48=528 Current State: 51:[9, 69, 528], Operations: ['11*48=528'] Exploring Operation: 528-69=459, Resulting Numbers: [9, 459] Generated Node #3: [9, 459] from Operation: 528-69=459 Current State: 51:[9, 459], Operations: ['11*48=528', '528-69=459'] Exploring Operation: 459/9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 58, 24, 65, 46 ]
29
[ "58+24=82", "65+46=111", "111-82=29" ]
Current State: 29:[58, 24, 65, 46], Operations: [] Exploring Operation: 58+24=82, Resulting Numbers: [65, 46, 82] Generated Node #2: [65, 46, 82] from Operation: 58+24=82 Current State: 29:[65, 46, 82], Operations: ['58+24=82'] Exploring Operation: 65+46=111, Resulting Numbers: [82, 111] Generated Node #3: [82, 111] from Operation: 65+46=111 Current State: 29:[82, 111], Operations: ['58+24=82', '65+46=111'] Exploring Operation: 111-82=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 12, 63, 15, 57 ]
62
[ "12+63=75", "75/15=5", "57+5=62" ]
Current State: 62:[12, 63, 15, 57], Operations: [] Exploring Operation: 12+63=75, Resulting Numbers: [15, 57, 75] Generated Node #2: [15, 57, 75] from Operation: 12+63=75 Current State: 62:[15, 57, 75], Operations: ['12+63=75'] Exploring Operation: 75/15=5, Resulting Numbers: [57, 5] Generated Node #3: [57, 5] from Operation: 75/15=5 Current State: 62:[57, 5], Operations: ['12+63=75', '75/15=5'] Exploring Operation: 57+5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 2, 14, 89, 24 ]
85
[ "2*14=28", "89+24=113", "113-28=85" ]
Current State: 85:[2, 14, 89, 24], Operations: [] Exploring Operation: 2*14=28, Resulting Numbers: [89, 24, 28] Generated Node #2: [89, 24, 28] from Operation: 2*14=28 Current State: 85:[89, 24, 28], Operations: ['2*14=28'] Exploring Operation: 89+24=113, Resulting Numbers: [28, 113] Generated Node #3: [28, 113] from Operation: 89+24=113 Current State: 85:[28, 113], Operations: ['2*14=28', '89+24=113'] Exploring Operation: 113-28=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 26, 4, 66, 50 ]
90
[ "66-50=16", "4*16=64", "26+64=90" ]
Current State: 90:[26, 4, 66, 50], Operations: [] Exploring Operation: 66-50=16, Resulting Numbers: [26, 4, 16] Generated Node #2: [26, 4, 16] from Operation: 66-50=16 Current State: 90:[26, 4, 16], Operations: ['66-50=16'] Exploring Operation: 4*16=64, Resulting Numbers: [26, 64] Generated Node #3: [26, 64] from Operation: 4*16=64 Current State: 90:[26, 64], Operations: ['66-50=16', '4*16=64'] Exploring Operation: 26+64=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 60, 65, 57, 37 ]
62
[ "57-37=20", "60/20=3", "65-3=62" ]
Current State: 62:[60, 65, 57, 37], Operations: [] Exploring Operation: 57-37=20, Resulting Numbers: [60, 65, 20] Generated Node #2: [60, 65, 20] from Operation: 57-37=20 Current State: 62:[60, 65, 20], Operations: ['57-37=20'] Exploring Operation: 60/20=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 60/20=3 Current State: 62:[65, 3], Operations: ['57-37=20', '60/20=3'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 93, 45, 47, 34 ]
34
[ "93-45=48", "48-47=1", "34*1=34" ]
Current State: 34:[93, 45, 47, 34], Operations: [] Exploring Operation: 93-45=48, Resulting Numbers: [47, 34, 48] Generated Node #2: [47, 34, 48] from Operation: 93-45=48 Current State: 34:[47, 34, 48], Operations: ['93-45=48'] Exploring Operation: 48-47=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 48-47=1 Current State: 34:[34, 1], Operations: ['93-45=48', '48-47=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 35, 20, 5, 78 ]
80
[ "35+5=40", "40/20=2", "78+2=80" ]
Current State: 80:[35, 20, 5, 78], Operations: [] Exploring Operation: 35+5=40, Resulting Numbers: [20, 78, 40] Generated Node #2: [20, 78, 40] from Operation: 35+5=40 Current State: 80:[20, 78, 40], Operations: ['35+5=40'] Exploring Operation: 40/20=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 40/20=2 Current State: 80:[78, 2], Operations: ['35+5=40', '40/20=2'] Exploring Operation: 78+2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 64, 5, 38, 67 ]
23
[ "67-64=3", "5*3=15", "38-15=23" ]
Current State: 23:[64, 5, 38, 67], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [5, 38, 3] Generated Node #2: [5, 38, 3] from Operation: 67-64=3 Current State: 23:[5, 38, 3], Operations: ['67-64=3'] Exploring Operation: 5*3=15, Resulting Numbers: [38, 15] Generated Node #3: [38, 15] from Operation: 5*3=15 Current State: 23:[38, 15], Operations: ['67-64=3', '5*3=15'] Exploring Operation: 38-15=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 85, 11, 64, 16 ]
10
[ "85+11=96", "64+96=160", "160/16=10" ]
Current State: 10:[85, 11, 64, 16], Operations: [] Exploring Operation: 85+11=96, Resulting Numbers: [64, 16, 96] Generated Node #2: [64, 16, 96] from Operation: 85+11=96 Current State: 10:[64, 16, 96], Operations: ['85+11=96'] Exploring Operation: 64+96=160, Resulting Numbers: [16, 160] Generated Node #3: [16, 160] from Operation: 64+96=160 Current State: 10:[16, 160], Operations: ['85+11=96', '64+96=160'] Exploring Operation: 160/16=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 12, 42, 23, 34 ]
87
[ "42-12=30", "23+34=57", "30+57=87" ]
Current State: 87:[12, 42, 23, 34], Operations: [] Exploring Operation: 42-12=30, Resulting Numbers: [23, 34, 30] Generated Node #2: [23, 34, 30] from Operation: 42-12=30 Current State: 87:[23, 34, 30], Operations: ['42-12=30'] Exploring Operation: 23+34=57, Resulting Numbers: [30, 57] Generated Node #3: [30, 57] from Operation: 23+34=57 Current State: 87:[30, 57], Operations: ['42-12=30', '23+34=57'] Exploring Operation: 30+57=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 93, 39, 15, 73 ]
52
[ "93-73=20", "39*20=780", "780/15=52" ]
Current State: 52:[93, 39, 15, 73], Operations: [] Exploring Operation: 93-73=20, Resulting Numbers: [39, 15, 20] Generated Node #2: [39, 15, 20] from Operation: 93-73=20 Current State: 52:[39, 15, 20], Operations: ['93-73=20'] Exploring Operation: 39*20=780, Resulting Numbers: [15, 780] Generated Node #3: [15, 780] from Operation: 39*20=780 Current State: 52:[15, 780], Operations: ['93-73=20', '39*20=780'] Exploring Operation: 780/15=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 52, 17, 13 ]
98
[ "17+13=30", "5*30=150", "150-52=98" ]
Current State: 98:[5, 52, 17, 13], Operations: [] Exploring Operation: 17+13=30, Resulting Numbers: [5, 52, 30] Generated Node #2: [5, 52, 30] from Operation: 17+13=30 Current State: 98:[5, 52, 30], Operations: ['17+13=30'] Exploring Operation: 5*30=150, Resulting Numbers: [52, 150] Generated Node #3: [52, 150] from Operation: 5*30=150 Current State: 98:[52, 150], Operations: ['17+13=30', '5*30=150'] Exploring Operation: 150-52=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 48, 83, 62, 28 ]
81
[ "62-48=14", "28/14=2", "83-2=81" ]
Current State: 81:[48, 83, 62, 28], Operations: [] Exploring Operation: 62-48=14, Resulting Numbers: [83, 28, 14] Generated Node #2: [83, 28, 14] from Operation: 62-48=14 Current State: 81:[83, 28, 14], Operations: ['62-48=14'] Exploring Operation: 28/14=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 28/14=2 Current State: 81:[83, 2], Operations: ['62-48=14', '28/14=2'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 93, 40, 48, 51 ]
96
[ "93-40=53", "53-51=2", "48*2=96" ]
Current State: 96:[93, 40, 48, 51], Operations: [] Exploring Operation: 93-40=53, Resulting Numbers: [48, 51, 53] Generated Node #2: [48, 51, 53] from Operation: 93-40=53 Current State: 96:[48, 51, 53], Operations: ['93-40=53'] Exploring Operation: 53-51=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 53-51=2 Current State: 96:[48, 2], Operations: ['93-40=53', '53-51=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 60, 20, 66, 61 ]
83
[ "60/20=3", "66/3=22", "61+22=83" ]
Current State: 83:[60, 20, 66, 61], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [66, 61, 3] Generated Node #2: [66, 61, 3] from Operation: 60/20=3 Current State: 83:[66, 61, 3], Operations: ['60/20=3'] Exploring Operation: 66/3=22, Resulting Numbers: [61, 22] Generated Node #3: [61, 22] from Operation: 66/3=22 Current State: 83:[61, 22], Operations: ['60/20=3', '66/3=22'] Exploring Operation: 61+22=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 7, 12, 13, 7 ]
90
[ "7*12=84", "13-7=6", "84+6=90" ]
Current State: 90:[7, 12, 13, 7], Operations: [] Exploring Operation: 7*12=84, Resulting Numbers: [13, 84] Generated Node #2: [13, 84] from Operation: 7*12=84 Current State: 90:[13, 84], Operations: ['7*12=84'] Exploring Operation: 13-7=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 13-7=6 Current State: 90:[84, 6], Operations: ['7*12=84', '13-7=6'] Exploring Operation: 84+6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 47, 30, 48, 7 ]
25
[ "47-7=40", "30*40=1200", "1200/48=25" ]
Current State: 25:[47, 30, 48, 7], Operations: [] Exploring Operation: 47-7=40, Resulting Numbers: [30, 48, 40] Generated Node #2: [30, 48, 40] from Operation: 47-7=40 Current State: 25:[30, 48, 40], Operations: ['47-7=40'] Exploring Operation: 30*40=1200, Resulting Numbers: [48, 1200] Generated Node #3: [48, 1200] from Operation: 30*40=1200 Current State: 25:[48, 1200], Operations: ['47-7=40', '30*40=1200'] Exploring Operation: 1200/48=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 42, 9, 91, 90 ]
52
[ "42+9=51", "91-90=1", "51+1=52" ]
Current State: 52:[42, 9, 91, 90], Operations: [] Exploring Operation: 42+9=51, Resulting Numbers: [91, 90, 51] Generated Node #2: [91, 90, 51] from Operation: 42+9=51 Current State: 52:[91, 90, 51], Operations: ['42+9=51'] Exploring Operation: 91-90=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 91-90=1 Current State: 52:[51, 1], Operations: ['42+9=51', '91-90=1'] Exploring Operation: 51+1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 90, 96, 50, 75 ]
36
[ "90*50=4500", "4500/75=60", "96-60=36" ]
Current State: 36:[90, 96, 50, 75], Operations: [] Exploring Operation: 90*50=4500, Resulting Numbers: [96, 75, 4500] Generated Node #2: [96, 75, 4500] from Operation: 90*50=4500 Current State: 36:[96, 75, 4500], Operations: ['90*50=4500'] Exploring Operation: 4500/75=60, Resulting Numbers: [96, 60] Generated Node #3: [96, 60] from Operation: 4500/75=60 Current State: 36:[96, 60], Operations: ['90*50=4500', '4500/75=60'] Exploring Operation: 96-60=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 55, 64, 43, 98 ]
22
[ "55+64=119", "43+98=141", "141-119=22" ]
Current State: 22:[55, 64, 43, 98], Operations: [] Exploring Operation: 55+64=119, Resulting Numbers: [43, 98, 119] Generated Node #2: [43, 98, 119] from Operation: 55+64=119 Current State: 22:[43, 98, 119], Operations: ['55+64=119'] Exploring Operation: 43+98=141, Resulting Numbers: [119, 141] Generated Node #3: [119, 141] from Operation: 43+98=141 Current State: 22:[119, 141], Operations: ['55+64=119', '43+98=141'] Exploring Operation: 141-119=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 42, 35, 49, 95 ]
91
[ "49*95=4655", "4655/35=133", "133-42=91" ]
Current State: 91:[42, 35, 49, 95], Operations: [] Exploring Operation: 49*95=4655, Resulting Numbers: [42, 35, 4655] Generated Node #2: [42, 35, 4655] from Operation: 49*95=4655 Current State: 91:[42, 35, 4655], Operations: ['49*95=4655'] Exploring Operation: 4655/35=133, Resulting Numbers: [42, 133] Generated Node #3: [42, 133] from Operation: 4655/35=133 Current State: 91:[42, 133], Operations: ['49*95=4655', '4655/35=133'] Exploring Operation: 133-42=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 8, 66, 3, 1 ]
91
[ "8*3=24", "66+1=67", "24+67=91" ]
Current State: 91:[8, 66, 3, 1], Operations: [] Exploring Operation: 8*3=24, Resulting Numbers: [66, 1, 24] Generated Node #2: [66, 1, 24] from Operation: 8*3=24 Current State: 91:[66, 1, 24], Operations: ['8*3=24'] Exploring Operation: 66+1=67, Resulting Numbers: [24, 67] Generated Node #3: [24, 67] from Operation: 66+1=67 Current State: 91:[24, 67], Operations: ['8*3=24', '66+1=67'] Exploring Operation: 24+67=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 6, 21, 81, 33 ]
24
[ "33-6=27", "81/27=3", "21+3=24" ]
Current State: 24:[6, 21, 81, 33], Operations: [] Exploring Operation: 33-6=27, Resulting Numbers: [21, 81, 27] Generated Node #2: [21, 81, 27] from Operation: 33-6=27 Current State: 24:[21, 81, 27], Operations: ['33-6=27'] Exploring Operation: 81/27=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 81/27=3 Current State: 24:[21, 3], Operations: ['33-6=27', '81/27=3'] Exploring Operation: 21+3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 15, 41, 1 ]
75
[ "41-35=6", "6-1=5", "15*5=75" ]
Current State: 75:[35, 15, 41, 1], Operations: [] Exploring Operation: 41-35=6, Resulting Numbers: [15, 1, 6] Generated Node #2: [15, 1, 6] from Operation: 41-35=6 Current State: 75:[15, 1, 6], Operations: ['41-35=6'] Exploring Operation: 6-1=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 6-1=5 Current State: 75:[15, 5], Operations: ['41-35=6', '6-1=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 13, 87, 53, 76 ]
29
[ "13+87=100", "53+76=129", "129-100=29" ]
Current State: 29:[13, 87, 53, 76], Operations: [] Exploring Operation: 13+87=100, Resulting Numbers: [53, 76, 100] Generated Node #2: [53, 76, 100] from Operation: 13+87=100 Current State: 29:[53, 76, 100], Operations: ['13+87=100'] Exploring Operation: 53+76=129, Resulting Numbers: [100, 129] Generated Node #3: [100, 129] from Operation: 53+76=129 Current State: 29:[100, 129], Operations: ['13+87=100', '53+76=129'] Exploring Operation: 129-100=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 80, 3, 39, 88 ]
50
[ "80-3=77", "39+88=127", "127-77=50" ]
Current State: 50:[80, 3, 39, 88], Operations: [] Exploring Operation: 80-3=77, Resulting Numbers: [39, 88, 77] Generated Node #2: [39, 88, 77] from Operation: 80-3=77 Current State: 50:[39, 88, 77], Operations: ['80-3=77'] Exploring Operation: 39+88=127, Resulting Numbers: [77, 127] Generated Node #3: [77, 127] from Operation: 39+88=127 Current State: 50:[77, 127], Operations: ['80-3=77', '39+88=127'] Exploring Operation: 127-77=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 96, 84, 26, 28 ]
66
[ "96-84=12", "26+28=54", "12+54=66" ]
Current State: 66:[96, 84, 26, 28], Operations: [] Exploring Operation: 96-84=12, Resulting Numbers: [26, 28, 12] Generated Node #2: [26, 28, 12] from Operation: 96-84=12 Current State: 66:[26, 28, 12], Operations: ['96-84=12'] Exploring Operation: 26+28=54, Resulting Numbers: [12, 54] Generated Node #3: [12, 54] from Operation: 26+28=54 Current State: 66:[12, 54], Operations: ['96-84=12', '26+28=54'] Exploring Operation: 12+54=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 76, 82, 3, 63 ]
83
[ "76*3=228", "82+63=145", "228-145=83" ]
Current State: 83:[76, 82, 3, 63], Operations: [] Exploring Operation: 76*3=228, Resulting Numbers: [82, 63, 228] Generated Node #2: [82, 63, 228] from Operation: 76*3=228 Current State: 83:[82, 63, 228], Operations: ['76*3=228'] Exploring Operation: 82+63=145, Resulting Numbers: [228, 145] Generated Node #3: [228, 145] from Operation: 82+63=145 Current State: 83:[228, 145], Operations: ['76*3=228', '82+63=145'] Exploring Operation: 228-145=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 31, 7, 89, 63 ]
65
[ "31*7=217", "89+63=152", "217-152=65" ]
Current State: 65:[31, 7, 89, 63], Operations: [] Exploring Operation: 31*7=217, Resulting Numbers: [89, 63, 217] Generated Node #2: [89, 63, 217] from Operation: 31*7=217 Current State: 65:[89, 63, 217], Operations: ['31*7=217'] Exploring Operation: 89+63=152, Resulting Numbers: [217, 152] Generated Node #3: [217, 152] from Operation: 89+63=152 Current State: 65:[217, 152], Operations: ['31*7=217', '89+63=152'] Exploring Operation: 217-152=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 95, 31, 93, 35 ]
57
[ "95-35=60", "93/31=3", "60-3=57" ]
Current State: 57:[95, 31, 93, 35], Operations: [] Exploring Operation: 95-35=60, Resulting Numbers: [31, 93, 60] Generated Node #2: [31, 93, 60] from Operation: 95-35=60 Current State: 57:[31, 93, 60], Operations: ['95-35=60'] Exploring Operation: 93/31=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 93/31=3 Current State: 57:[60, 3], Operations: ['95-35=60', '93/31=3'] Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 55, 55, 5, 38 ]
77
[ "55+55=110", "38-5=33", "110-33=77" ]
Current State: 77:[55, 55, 5, 38], Operations: [] Exploring Operation: 55+55=110, Resulting Numbers: [5, 38, 110] Generated Node #2: [5, 38, 110] from Operation: 55+55=110 Current State: 77:[5, 38, 110], Operations: ['55+55=110'] Exploring Operation: 38-5=33, Resulting Numbers: [110, 33] Generated Node #3: [110, 33] from Operation: 38-5=33 Current State: 77:[110, 33], Operations: ['55+55=110', '38-5=33'] Exploring Operation: 110-33=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 7, 58, 36, 18 ]
16
[ "36-7=29", "58/29=2", "18-2=16" ]
Current State: 16:[7, 58, 36, 18], Operations: [] Exploring Operation: 36-7=29, Resulting Numbers: [58, 18, 29] Generated Node #2: [58, 18, 29] from Operation: 36-7=29 Current State: 16:[58, 18, 29], Operations: ['36-7=29'] Exploring Operation: 58/29=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 58/29=2 Current State: 16:[18, 2], Operations: ['36-7=29', '58/29=2'] Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 6, 12, 3, 41 ]
81
[ "41-12=29", "3*29=87", "87-6=81" ]
Current State: 81:[6, 12, 3, 41], Operations: [] Exploring Operation: 41-12=29, Resulting Numbers: [6, 3, 29] Generated Node #2: [6, 3, 29] from Operation: 41-12=29 Current State: 81:[6, 3, 29], Operations: ['41-12=29'] Exploring Operation: 3*29=87, Resulting Numbers: [6, 87] Generated Node #3: [6, 87] from Operation: 3*29=87 Current State: 81:[6, 87], Operations: ['41-12=29', '3*29=87'] Exploring Operation: 87-6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 72, 67, 93, 20 ]
97
[ "72-67=5", "20/5=4", "93+4=97" ]
Current State: 97:[72, 67, 93, 20], Operations: [] Exploring Operation: 72-67=5, Resulting Numbers: [93, 20, 5] Generated Node #2: [93, 20, 5] from Operation: 72-67=5 Current State: 97:[93, 20, 5], Operations: ['72-67=5'] Exploring Operation: 20/5=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 20/5=4 Current State: 97:[93, 4], Operations: ['72-67=5', '20/5=4'] Exploring Operation: 93+4=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 4, 21, 64, 62 ]
23
[ "4+21=25", "64-62=2", "25-2=23" ]
Current State: 23:[4, 21, 64, 62], Operations: [] Exploring Operation: 4+21=25, Resulting Numbers: [64, 62, 25] Generated Node #2: [64, 62, 25] from Operation: 4+21=25 Current State: 23:[64, 62, 25], Operations: ['4+21=25'] Exploring Operation: 64-62=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 64-62=2 Current State: 23:[25, 2], Operations: ['4+21=25', '64-62=2'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 94, 8, 15, 30 ]
100
[ "94+8=102", "30/15=2", "102-2=100" ]
Current State: 100:[94, 8, 15, 30], Operations: [] Exploring Operation: 94+8=102, Resulting Numbers: [15, 30, 102] Generated Node #2: [15, 30, 102] from Operation: 94+8=102 Current State: 100:[15, 30, 102], Operations: ['94+8=102'] Exploring Operation: 30/15=2, Resulting Numbers: [102, 2] Generated Node #3: [102, 2] from Operation: 30/15=2 Current State: 100:[102, 2], Operations: ['94+8=102', '30/15=2'] Exploring Operation: 102-2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 35, 55, 18, 46 ]
62
[ "35+55=90", "46-18=28", "90-28=62" ]
Current State: 62:[35, 55, 18, 46], Operations: [] Exploring Operation: 35+55=90, Resulting Numbers: [18, 46, 90] Generated Node #2: [18, 46, 90] from Operation: 35+55=90 Current State: 62:[18, 46, 90], Operations: ['35+55=90'] Exploring Operation: 46-18=28, Resulting Numbers: [90, 28] Generated Node #3: [90, 28] from Operation: 46-18=28 Current State: 62:[90, 28], Operations: ['35+55=90', '46-18=28'] Exploring Operation: 90-28=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 64, 36, 55, 48 ]
82
[ "36*48=1728", "1728/64=27", "55+27=82" ]
Current State: 82:[64, 36, 55, 48], Operations: [] Exploring Operation: 36*48=1728, Resulting Numbers: [64, 55, 1728] Generated Node #2: [64, 55, 1728] from Operation: 36*48=1728 Current State: 82:[64, 55, 1728], Operations: ['36*48=1728'] Exploring Operation: 1728/64=27, Resulting Numbers: [55, 27] Generated Node #3: [55, 27] from Operation: 1728/64=27 Current State: 82:[55, 27], Operations: ['36*48=1728', '1728/64=27'] Exploring Operation: 55+27=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 38, 85, 97, 96 ]
30
[ "97-85=12", "96/12=8", "38-8=30" ]
Current State: 30:[38, 85, 97, 96], Operations: [] Exploring Operation: 97-85=12, Resulting Numbers: [38, 96, 12] Generated Node #2: [38, 96, 12] from Operation: 97-85=12 Current State: 30:[38, 96, 12], Operations: ['97-85=12'] Exploring Operation: 96/12=8, Resulting Numbers: [38, 8] Generated Node #3: [38, 8] from Operation: 96/12=8 Current State: 30:[38, 8], Operations: ['97-85=12', '96/12=8'] Exploring Operation: 38-8=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 51, 21, 75, 75 ]
73
[ "51+21=72", "75/75=1", "72+1=73" ]
Current State: 73:[51, 21, 75, 75], Operations: [] Exploring Operation: 51+21=72, Resulting Numbers: [75, 75, 72] Generated Node #2: [75, 75, 72] from Operation: 51+21=72 Current State: 73:[75, 75, 72], Operations: ['51+21=72'] Exploring Operation: 75/75=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 75/75=1 Current State: 73:[72, 1], Operations: ['51+21=72', '75/75=1'] Exploring Operation: 72+1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 58, 72, 81, 48 ]
97
[ "58+72=130", "81-48=33", "130-33=97" ]
Current State: 97:[58, 72, 81, 48], Operations: [] Exploring Operation: 58+72=130, Resulting Numbers: [81, 48, 130] Generated Node #2: [81, 48, 130] from Operation: 58+72=130 Current State: 97:[81, 48, 130], Operations: ['58+72=130'] Exploring Operation: 81-48=33, Resulting Numbers: [130, 33] Generated Node #3: [130, 33] from Operation: 81-48=33 Current State: 97:[130, 33], Operations: ['58+72=130', '81-48=33'] Exploring Operation: 130-33=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 56, 64, 54, 67 ]
21
[ "64-56=8", "67-54=13", "8+13=21" ]
Current State: 21:[56, 64, 54, 67], Operations: [] Exploring Operation: 64-56=8, Resulting Numbers: [54, 67, 8] Generated Node #2: [54, 67, 8] from Operation: 64-56=8 Current State: 21:[54, 67, 8], Operations: ['64-56=8'] Exploring Operation: 67-54=13, Resulting Numbers: [8, 13] Generated Node #3: [8, 13] from Operation: 67-54=13 Current State: 21:[8, 13], Operations: ['64-56=8', '67-54=13'] Exploring Operation: 8+13=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 65, 85, 2, 37 ]
31
[ "85-37=48", "2*48=96", "96-65=31" ]
Current State: 31:[65, 85, 2, 37], Operations: [] Exploring Operation: 85-37=48, Resulting Numbers: [65, 2, 48] Generated Node #2: [65, 2, 48] from Operation: 85-37=48 Current State: 31:[65, 2, 48], Operations: ['85-37=48'] Exploring Operation: 2*48=96, Resulting Numbers: [65, 96] Generated Node #3: [65, 96] from Operation: 2*48=96 Current State: 31:[65, 96], Operations: ['85-37=48', '2*48=96'] Exploring Operation: 96-65=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 44, 50, 7, 59 ]
88
[ "50+7=57", "59-57=2", "44*2=88" ]
Current State: 88:[44, 50, 7, 59], Operations: [] Exploring Operation: 50+7=57, Resulting Numbers: [44, 59, 57] Generated Node #2: [44, 59, 57] from Operation: 50+7=57 Current State: 88:[44, 59, 57], Operations: ['50+7=57'] Exploring Operation: 59-57=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 59-57=2 Current State: 88:[44, 2], Operations: ['50+7=57', '59-57=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 92, 14, 55, 63 ]
98
[ "92+14=106", "63-55=8", "106-8=98" ]
Current State: 98:[92, 14, 55, 63], Operations: [] Exploring Operation: 92+14=106, Resulting Numbers: [55, 63, 106] Generated Node #2: [55, 63, 106] from Operation: 92+14=106 Current State: 98:[55, 63, 106], Operations: ['92+14=106'] Exploring Operation: 63-55=8, Resulting Numbers: [106, 8] Generated Node #3: [106, 8] from Operation: 63-55=8 Current State: 98:[106, 8], Operations: ['92+14=106', '63-55=8'] Exploring Operation: 106-8=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 42, 47, 45, 50 ]
10
[ "47-42=5", "50-45=5", "5+5=10" ]
Current State: 10:[42, 47, 45, 50], Operations: [] Exploring Operation: 47-42=5, Resulting Numbers: [45, 50, 5] Generated Node #2: [45, 50, 5] from Operation: 47-42=5 Current State: 10:[45, 50, 5], Operations: ['47-42=5'] Exploring Operation: 50-45=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 50-45=5 Current State: 10:[5, 5], Operations: ['47-42=5', '50-45=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 2, 50, 72, 28 ]
16
[ "72-50=22", "2*22=44", "44-28=16" ]
Current State: 16:[2, 50, 72, 28], Operations: [] Exploring Operation: 72-50=22, Resulting Numbers: [2, 28, 22] Generated Node #2: [2, 28, 22] from Operation: 72-50=22 Current State: 16:[2, 28, 22], Operations: ['72-50=22'] Exploring Operation: 2*22=44, Resulting Numbers: [28, 44] Generated Node #3: [28, 44] from Operation: 2*22=44 Current State: 16:[28, 44], Operations: ['72-50=22', '2*22=44'] Exploring Operation: 44-28=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4