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
[ 75, 83, 23, 68 ]
67
[ "75+83=158", "23+68=91", "158-91=67" ]
Current State: 67:[75, 83, 23, 68], Operations: [] Exploring Operation: 75+83=158, Resulting Numbers: [23, 68, 158] Generated Node #2: [23, 68, 158] from Operation: 75+83=158 Current State: 67:[23, 68, 158], Operations: ['75+83=158'] Exploring Operation: 23+68=91, Resulting Numbers: [158, 91] Generated Node #3: [158, 91] from Operation: 23+68=91 Current State: 67:[158, 91], Operations: ['75+83=158', '23+68=91'] Exploring Operation: 158-91=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 3, 3, 10, 56 ]
57
[ "3*3=9", "10+56=66", "66-9=57" ]
Current State: 57:[3, 3, 10, 56], Operations: [] Exploring Operation: 3*3=9, Resulting Numbers: [10, 56, 9] Generated Node #2: [10, 56, 9] from Operation: 3*3=9 Current State: 57:[10, 56, 9], Operations: ['3*3=9'] Exploring Operation: 10+56=66, Resulting Numbers: [9, 66] Generated Node #3: [9, 66] from Operation: 10+56=66 Current State: 57:[9, 66], Operations: ['3*3=9', '10+56=66'] Exploring Operation: 66-9=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 91, 76, 12, 20 ]
99
[ "76+20=96", "96/12=8", "91+8=99" ]
Current State: 99:[91, 76, 12, 20], Operations: [] Exploring Operation: 76+20=96, Resulting Numbers: [91, 12, 96] Generated Node #2: [91, 12, 96] from Operation: 76+20=96 Current State: 99:[91, 12, 96], Operations: ['76+20=96'] Exploring Operation: 96/12=8, Resulting Numbers: [91, 8] Generated Node #3: [91, 8] from Operation: 96/12=8 Current State: 99:[91, 8], Operations: ['76+20=96', '96/12=8'] Exploring Operation: 91+8=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 94, 41, 45, 37 ]
45
[ "94-41=53", "45-37=8", "53-8=45" ]
Current State: 45:[94, 41, 45, 37], Operations: [] Exploring Operation: 94-41=53, Resulting Numbers: [45, 37, 53] Generated Node #2: [45, 37, 53] from Operation: 94-41=53 Current State: 45:[45, 37, 53], Operations: ['94-41=53'] Exploring Operation: 45-37=8, Resulting Numbers: [53, 8] Generated Node #3: [53, 8] from Operation: 45-37=8 Current State: 45:[53, 8], Operations: ['94-41=53', '45-37=8'] Exploring Operation: 53-8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 49, 61, 93, 52 ]
90
[ "52-49=3", "61*3=183", "183-93=90" ]
Current State: 90:[49, 61, 93, 52], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [61, 93, 3] Generated Node #2: [61, 93, 3] from Operation: 52-49=3 Current State: 90:[61, 93, 3], Operations: ['52-49=3'] Exploring Operation: 61*3=183, Resulting Numbers: [93, 183] Generated Node #3: [93, 183] from Operation: 61*3=183 Current State: 90:[93, 183], Operations: ['52-49=3', '61*3=183'] Exploring Operation: 183-93=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 66, 41, 1, 82 ]
22
[ "82/41=2", "1+2=3", "66/3=22" ]
Current State: 22:[66, 41, 1, 82], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [66, 1, 2] Generated Node #2: [66, 1, 2] from Operation: 82/41=2 Current State: 22:[66, 1, 2], Operations: ['82/41=2'] Exploring Operation: 1+2=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 1+2=3 Current State: 22:[66, 3], Operations: ['82/41=2', '1+2=3'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 50, 77, 90, 51 ]
13
[ "51-50=1", "90-77=13", "1*13=13" ]
Current State: 13:[50, 77, 90, 51], Operations: [] Exploring Operation: 51-50=1, Resulting Numbers: [77, 90, 1] Generated Node #2: [77, 90, 1] from Operation: 51-50=1 Current State: 13:[77, 90, 1], Operations: ['51-50=1'] Exploring Operation: 90-77=13, Resulting Numbers: [1, 13] Generated Node #3: [1, 13] from Operation: 90-77=13 Current State: 13:[1, 13], Operations: ['51-50=1', '90-77=13'] Exploring Operation: 1*13=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 71, 21, 34, 41 ]
76
[ "41-34=7", "21*7=147", "147-71=76" ]
Current State: 76:[71, 21, 34, 41], Operations: [] Exploring Operation: 41-34=7, Resulting Numbers: [71, 21, 7] Generated Node #2: [71, 21, 7] from Operation: 41-34=7 Current State: 76:[71, 21, 7], Operations: ['41-34=7'] Exploring Operation: 21*7=147, Resulting Numbers: [71, 147] Generated Node #3: [71, 147] from Operation: 21*7=147 Current State: 76:[71, 147], Operations: ['41-34=7', '21*7=147'] Exploring Operation: 147-71=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 33, 6, 43, 60 ]
41
[ "6+60=66", "66/33=2", "43-2=41" ]
Current State: 41:[33, 6, 43, 60], Operations: [] Exploring Operation: 6+60=66, Resulting Numbers: [33, 43, 66] Generated Node #2: [33, 43, 66] from Operation: 6+60=66 Current State: 41:[33, 43, 66], Operations: ['6+60=66'] Exploring Operation: 66/33=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 66/33=2 Current State: 41:[43, 2], Operations: ['6+60=66', '66/33=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 41, 55, 8, 13 ]
37
[ "55*8=440", "41+440=481", "481/13=37" ]
Current State: 37:[41, 55, 8, 13], Operations: [] Exploring Operation: 55*8=440, Resulting Numbers: [41, 13, 440] Generated Node #2: [41, 13, 440] from Operation: 55*8=440 Current State: 37:[41, 13, 440], Operations: ['55*8=440'] Exploring Operation: 41+440=481, Resulting Numbers: [13, 481] Generated Node #3: [13, 481] from Operation: 41+440=481 Current State: 37:[13, 481], Operations: ['55*8=440', '41+440=481'] Exploring Operation: 481/13=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 11, 27, 33, 72 ]
12
[ "27+33=60", "72+60=132", "132/11=12" ]
Current State: 12:[11, 27, 33, 72], Operations: [] Exploring Operation: 27+33=60, Resulting Numbers: [11, 72, 60] Generated Node #2: [11, 72, 60] from Operation: 27+33=60 Current State: 12:[11, 72, 60], Operations: ['27+33=60'] Exploring Operation: 72+60=132, Resulting Numbers: [11, 132] Generated Node #3: [11, 132] from Operation: 72+60=132 Current State: 12:[11, 132], Operations: ['27+33=60', '72+60=132'] Exploring Operation: 132/11=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 98, 99, 78, 17 ]
62
[ "99-98=1", "78-17=61", "1+61=62" ]
Current State: 62:[98, 99, 78, 17], Operations: [] Exploring Operation: 99-98=1, Resulting Numbers: [78, 17, 1] Generated Node #2: [78, 17, 1] from Operation: 99-98=1 Current State: 62:[78, 17, 1], Operations: ['99-98=1'] Exploring Operation: 78-17=61, Resulting Numbers: [1, 61] Generated Node #3: [1, 61] from Operation: 78-17=61 Current State: 62:[1, 61], Operations: ['99-98=1', '78-17=61'] Exploring Operation: 1+61=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 8, 86, 11, 13 ]
33
[ "11-8=3", "86+13=99", "99/3=33" ]
Current State: 33:[8, 86, 11, 13], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [86, 13, 3] Generated Node #2: [86, 13, 3] from Operation: 11-8=3 Current State: 33:[86, 13, 3], Operations: ['11-8=3'] Exploring Operation: 86+13=99, Resulting Numbers: [3, 99] Generated Node #3: [3, 99] from Operation: 86+13=99 Current State: 33:[3, 99], Operations: ['11-8=3', '86+13=99'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 72, 80, 10, 89 ]
53
[ "72+80=152", "10+89=99", "152-99=53" ]
Current State: 53:[72, 80, 10, 89], Operations: [] Exploring Operation: 72+80=152, Resulting Numbers: [10, 89, 152] Generated Node #2: [10, 89, 152] from Operation: 72+80=152 Current State: 53:[10, 89, 152], Operations: ['72+80=152'] Exploring Operation: 10+89=99, Resulting Numbers: [152, 99] Generated Node #3: [152, 99] from Operation: 10+89=99 Current State: 53:[152, 99], Operations: ['72+80=152', '10+89=99'] Exploring Operation: 152-99=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 28, 10, 60, 79 ]
57
[ "28+10=38", "79-60=19", "38+19=57" ]
Current State: 57:[28, 10, 60, 79], Operations: [] Exploring Operation: 28+10=38, Resulting Numbers: [60, 79, 38] Generated Node #2: [60, 79, 38] from Operation: 28+10=38 Current State: 57:[60, 79, 38], Operations: ['28+10=38'] Exploring Operation: 79-60=19, Resulting Numbers: [38, 19] Generated Node #3: [38, 19] from Operation: 79-60=19 Current State: 57:[38, 19], Operations: ['28+10=38', '79-60=19'] Exploring Operation: 38+19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 64, 87, 48, 41 ]
75
[ "64*87=5568", "5568/48=116", "116-41=75" ]
Current State: 75:[64, 87, 48, 41], Operations: [] Exploring Operation: 64*87=5568, Resulting Numbers: [48, 41, 5568] Generated Node #2: [48, 41, 5568] from Operation: 64*87=5568 Current State: 75:[48, 41, 5568], Operations: ['64*87=5568'] Exploring Operation: 5568/48=116, Resulting Numbers: [41, 116] Generated Node #3: [41, 116] from Operation: 5568/48=116 Current State: 75:[41, 116], Operations: ['64*87=5568', '5568/48=116'] Exploring Operation: 116-41=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 28, 68, 82, 20 ]
41
[ "68-28=40", "82*20=1640", "1640/40=41" ]
Current State: 41:[28, 68, 82, 20], Operations: [] Exploring Operation: 68-28=40, Resulting Numbers: [82, 20, 40] Generated Node #2: [82, 20, 40] from Operation: 68-28=40 Current State: 41:[82, 20, 40], Operations: ['68-28=40'] Exploring Operation: 82*20=1640, Resulting Numbers: [40, 1640] Generated Node #3: [40, 1640] from Operation: 82*20=1640 Current State: 41:[40, 1640], Operations: ['68-28=40', '82*20=1640'] Exploring Operation: 1640/40=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 33, 6, 39, 12 ]
13
[ "33+6=39", "39/39=1", "12+1=13" ]
Current State: 13:[33, 6, 39, 12], Operations: [] Exploring Operation: 33+6=39, Resulting Numbers: [39, 12, 39] Generated Node #2: [39, 12, 39] from Operation: 33+6=39 Current State: 13:[39, 12, 39], Operations: ['33+6=39'] Exploring Operation: 39/39=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 39/39=1 Current State: 13:[12, 1], Operations: ['33+6=39', '39/39=1'] Exploring Operation: 12+1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 48, 40, 65, 3 ]
41
[ "48-40=8", "3*8=24", "65-24=41" ]
Current State: 41:[48, 40, 65, 3], Operations: [] Exploring Operation: 48-40=8, Resulting Numbers: [65, 3, 8] Generated Node #2: [65, 3, 8] from Operation: 48-40=8 Current State: 41:[65, 3, 8], Operations: ['48-40=8'] Exploring Operation: 3*8=24, Resulting Numbers: [65, 24] Generated Node #3: [65, 24] from Operation: 3*8=24 Current State: 41:[65, 24], Operations: ['48-40=8', '3*8=24'] Exploring Operation: 65-24=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 54, 6, 55, 59 ]
35
[ "55+59=114", "114/6=19", "54-19=35" ]
Current State: 35:[54, 6, 55, 59], Operations: [] Exploring Operation: 55+59=114, Resulting Numbers: [54, 6, 114] Generated Node #2: [54, 6, 114] from Operation: 55+59=114 Current State: 35:[54, 6, 114], Operations: ['55+59=114'] Exploring Operation: 114/6=19, Resulting Numbers: [54, 19] Generated Node #3: [54, 19] from Operation: 114/6=19 Current State: 35:[54, 19], Operations: ['55+59=114', '114/6=19'] Exploring Operation: 54-19=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 44, 64, 5, 89 ]
85
[ "64-44=20", "20/5=4", "89-4=85" ]
Current State: 85:[44, 64, 5, 89], Operations: [] Exploring Operation: 64-44=20, Resulting Numbers: [5, 89, 20] Generated Node #2: [5, 89, 20] from Operation: 64-44=20 Current State: 85:[5, 89, 20], Operations: ['64-44=20'] Exploring Operation: 20/5=4, Resulting Numbers: [89, 4] Generated Node #3: [89, 4] from Operation: 20/5=4 Current State: 85:[89, 4], Operations: ['64-44=20', '20/5=4'] Exploring Operation: 89-4=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 14, 39, 40, 61 ]
32
[ "14+39=53", "61-40=21", "53-21=32" ]
Current State: 32:[14, 39, 40, 61], Operations: [] Exploring Operation: 14+39=53, Resulting Numbers: [40, 61, 53] Generated Node #2: [40, 61, 53] from Operation: 14+39=53 Current State: 32:[40, 61, 53], Operations: ['14+39=53'] Exploring Operation: 61-40=21, Resulting Numbers: [53, 21] Generated Node #3: [53, 21] from Operation: 61-40=21 Current State: 32:[53, 21], Operations: ['14+39=53', '61-40=21'] Exploring Operation: 53-21=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 14, 83, 2, 42 ]
83
[ "42/14=3", "3-2=1", "83*1=83" ]
Current State: 83:[14, 83, 2, 42], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [83, 2, 3] Generated Node #2: [83, 2, 3] from Operation: 42/14=3 Current State: 83:[83, 2, 3], Operations: ['42/14=3'] Exploring Operation: 3-2=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 3-2=1 Current State: 83:[83, 1], Operations: ['42/14=3', '3-2=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 55, 22, 38, 46 ]
69
[ "55+22=77", "46-38=8", "77-8=69" ]
Current State: 69:[55, 22, 38, 46], Operations: [] Exploring Operation: 55+22=77, Resulting Numbers: [38, 46, 77] Generated Node #2: [38, 46, 77] from Operation: 55+22=77 Current State: 69:[38, 46, 77], Operations: ['55+22=77'] Exploring Operation: 46-38=8, Resulting Numbers: [77, 8] Generated Node #3: [77, 8] from Operation: 46-38=8 Current State: 69:[77, 8], Operations: ['55+22=77', '46-38=8'] Exploring Operation: 77-8=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 30, 10, 17, 57 ]
71
[ "30/10=3", "17+57=74", "74-3=71" ]
Current State: 71:[30, 10, 17, 57], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [17, 57, 3] Generated Node #2: [17, 57, 3] from Operation: 30/10=3 Current State: 71:[17, 57, 3], Operations: ['30/10=3'] Exploring Operation: 17+57=74, Resulting Numbers: [3, 74] Generated Node #3: [3, 74] from Operation: 17+57=74 Current State: 71:[3, 74], Operations: ['30/10=3', '17+57=74'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 22, 86, 46, 2 ]
19
[ "46-22=24", "86/2=43", "43-24=19" ]
Current State: 19:[22, 86, 46, 2], Operations: [] Exploring Operation: 46-22=24, Resulting Numbers: [86, 2, 24] Generated Node #2: [86, 2, 24] from Operation: 46-22=24 Current State: 19:[86, 2, 24], Operations: ['46-22=24'] Exploring Operation: 86/2=43, Resulting Numbers: [24, 43] Generated Node #3: [24, 43] from Operation: 86/2=43 Current State: 19:[24, 43], Operations: ['46-22=24', '86/2=43'] Exploring Operation: 43-24=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 68, 20, 60, 30 ]
58
[ "68+20=88", "60-30=30", "88-30=58" ]
Current State: 58:[68, 20, 60, 30], Operations: [] Exploring Operation: 68+20=88, Resulting Numbers: [60, 30, 88] Generated Node #2: [60, 30, 88] from Operation: 68+20=88 Current State: 58:[60, 30, 88], Operations: ['68+20=88'] Exploring Operation: 60-30=30, Resulting Numbers: [88, 30] Generated Node #3: [88, 30] from Operation: 60-30=30 Current State: 58:[88, 30], Operations: ['68+20=88', '60-30=30'] Exploring Operation: 88-30=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 41, 75, 73, 86 ]
43
[ "41+75=116", "73+86=159", "159-116=43" ]
Current State: 43:[41, 75, 73, 86], Operations: [] Exploring Operation: 41+75=116, Resulting Numbers: [73, 86, 116] Generated Node #2: [73, 86, 116] from Operation: 41+75=116 Current State: 43:[73, 86, 116], Operations: ['41+75=116'] Exploring Operation: 73+86=159, Resulting Numbers: [116, 159] Generated Node #3: [116, 159] from Operation: 73+86=159 Current State: 43:[116, 159], Operations: ['41+75=116', '73+86=159'] Exploring Operation: 159-116=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 20, 80, 24, 60 ]
96
[ "80-20=60", "60-24=36", "60+36=96" ]
Current State: 96:[20, 80, 24, 60], Operations: [] Exploring Operation: 80-20=60, Resulting Numbers: [24, 60, 60] Generated Node #2: [24, 60, 60] from Operation: 80-20=60 Current State: 96:[24, 60, 60], Operations: ['80-20=60'] Exploring Operation: 60-24=36, Resulting Numbers: [36] 36,96 equal: Goal Reached Exploring Operation: 60+36=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 52, 39, 28, 46 ]
48
[ "46-39=7", "28/7=4", "52-4=48" ]
Current State: 48:[52, 39, 28, 46], Operations: [] Exploring Operation: 46-39=7, Resulting Numbers: [52, 28, 7] Generated Node #2: [52, 28, 7] from Operation: 46-39=7 Current State: 48:[52, 28, 7], Operations: ['46-39=7'] Exploring Operation: 28/7=4, Resulting Numbers: [52, 4] Generated Node #3: [52, 4] from Operation: 28/7=4 Current State: 48:[52, 4], Operations: ['46-39=7', '28/7=4'] Exploring Operation: 52-4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 47, 83, 65, 4 ]
10
[ "83+65=148", "148/4=37", "47-37=10" ]
Current State: 10:[47, 83, 65, 4], Operations: [] Exploring Operation: 83+65=148, Resulting Numbers: [47, 4, 148] Generated Node #2: [47, 4, 148] from Operation: 83+65=148 Current State: 10:[47, 4, 148], Operations: ['83+65=148'] Exploring Operation: 148/4=37, Resulting Numbers: [47, 37] Generated Node #3: [47, 37] from Operation: 148/4=37 Current State: 10:[47, 37], Operations: ['83+65=148', '148/4=37'] Exploring Operation: 47-37=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 10, 13, 19, 36 ]
52
[ "13-10=3", "19+36=55", "55-3=52" ]
Current State: 52:[10, 13, 19, 36], Operations: [] Exploring Operation: 13-10=3, Resulting Numbers: [19, 36, 3] Generated Node #2: [19, 36, 3] from Operation: 13-10=3 Current State: 52:[19, 36, 3], Operations: ['13-10=3'] Exploring Operation: 19+36=55, Resulting Numbers: [3, 55] Generated Node #3: [3, 55] from Operation: 19+36=55 Current State: 52:[3, 55], Operations: ['13-10=3', '19+36=55'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 74, 80, 50, 48 ]
43
[ "50-48=2", "74/2=37", "80-37=43" ]
Current State: 43:[74, 80, 50, 48], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [74, 80, 2] Generated Node #2: [74, 80, 2] from Operation: 50-48=2 Current State: 43:[74, 80, 2], Operations: ['50-48=2'] Exploring Operation: 74/2=37, Resulting Numbers: [80, 37] Generated Node #3: [80, 37] from Operation: 74/2=37 Current State: 43:[80, 37], Operations: ['50-48=2', '74/2=37'] Exploring Operation: 80-37=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 56, 72, 38, 5 ]
17
[ "72-56=16", "38-5=33", "33-16=17" ]
Current State: 17:[56, 72, 38, 5], Operations: [] Exploring Operation: 72-56=16, Resulting Numbers: [38, 5, 16] Generated Node #2: [38, 5, 16] from Operation: 72-56=16 Current State: 17:[38, 5, 16], Operations: ['72-56=16'] Exploring Operation: 38-5=33, Resulting Numbers: [16, 33] Generated Node #3: [16, 33] from Operation: 38-5=33 Current State: 17:[16, 33], Operations: ['72-56=16', '38-5=33'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 77, 97, 8, 85 ]
75
[ "97-77=20", "8*20=160", "160-85=75" ]
Current State: 75:[77, 97, 8, 85], Operations: [] Exploring Operation: 97-77=20, Resulting Numbers: [8, 85, 20] Generated Node #2: [8, 85, 20] from Operation: 97-77=20 Current State: 75:[8, 85, 20], Operations: ['97-77=20'] Exploring Operation: 8*20=160, Resulting Numbers: [85, 160] Generated Node #3: [85, 160] from Operation: 8*20=160 Current State: 75:[85, 160], Operations: ['97-77=20', '8*20=160'] Exploring Operation: 160-85=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 5, 37, 69, 39 ]
31
[ "69-39=30", "30/5=6", "37-6=31" ]
Current State: 31:[5, 37, 69, 39], Operations: [] Exploring Operation: 69-39=30, Resulting Numbers: [5, 37, 30] Generated Node #2: [5, 37, 30] from Operation: 69-39=30 Current State: 31:[5, 37, 30], Operations: ['69-39=30'] Exploring Operation: 30/5=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 30/5=6 Current State: 31:[37, 6], Operations: ['69-39=30', '30/5=6'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 81, 18, 30, 63 ]
24
[ "30*63=1890", "1890/18=105", "105-81=24" ]
Current State: 24:[81, 18, 30, 63], Operations: [] Exploring Operation: 30*63=1890, Resulting Numbers: [81, 18, 1890] Generated Node #2: [81, 18, 1890] from Operation: 30*63=1890 Current State: 24:[81, 18, 1890], Operations: ['30*63=1890'] Exploring Operation: 1890/18=105, Resulting Numbers: [81, 105] Generated Node #3: [81, 105] from Operation: 1890/18=105 Current State: 24:[81, 105], Operations: ['30*63=1890', '1890/18=105'] Exploring Operation: 105-81=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 59, 8, 2, 50 ]
60
[ "59*2=118", "8+50=58", "118-58=60" ]
Current State: 60:[59, 8, 2, 50], Operations: [] Exploring Operation: 59*2=118, Resulting Numbers: [8, 50, 118] Generated Node #2: [8, 50, 118] from Operation: 59*2=118 Current State: 60:[8, 50, 118], Operations: ['59*2=118'] Exploring Operation: 8+50=58, Resulting Numbers: [118, 58] Generated Node #3: [118, 58] from Operation: 8+50=58 Current State: 60:[118, 58], Operations: ['59*2=118', '8+50=58'] Exploring Operation: 118-58=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 6, 31, 17, 59 ]
24
[ "59-17=42", "42/6=7", "31-7=24" ]
Current State: 24:[6, 31, 17, 59], Operations: [] Exploring Operation: 59-17=42, Resulting Numbers: [6, 31, 42] Generated Node #2: [6, 31, 42] from Operation: 59-17=42 Current State: 24:[6, 31, 42], Operations: ['59-17=42'] Exploring Operation: 42/6=7, Resulting Numbers: [31, 7] Generated Node #3: [31, 7] from Operation: 42/6=7 Current State: 24:[31, 7], Operations: ['59-17=42', '42/6=7'] Exploring Operation: 31-7=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 15, 21, 18, 32 ]
70
[ "18+32=50", "21*50=1050", "1050/15=70" ]
Current State: 70:[15, 21, 18, 32], Operations: [] Exploring Operation: 18+32=50, Resulting Numbers: [15, 21, 50] Generated Node #2: [15, 21, 50] from Operation: 18+32=50 Current State: 70:[15, 21, 50], Operations: ['18+32=50'] Exploring Operation: 21*50=1050, Resulting Numbers: [15, 1050] Generated Node #3: [15, 1050] from Operation: 21*50=1050 Current State: 70:[15, 1050], Operations: ['18+32=50', '21*50=1050'] Exploring Operation: 1050/15=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 27, 89, 2, 41 ]
34
[ "27+89=116", "2*41=82", "116-82=34" ]
Current State: 34:[27, 89, 2, 41], Operations: [] Exploring Operation: 27+89=116, Resulting Numbers: [2, 41, 116] Generated Node #2: [2, 41, 116] from Operation: 27+89=116 Current State: 34:[2, 41, 116], Operations: ['27+89=116'] Exploring Operation: 2*41=82, Resulting Numbers: [116, 82] Generated Node #3: [116, 82] from Operation: 2*41=82 Current State: 34:[116, 82], Operations: ['27+89=116', '2*41=82'] Exploring Operation: 116-82=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 4, 1, 19, 9 ]
95
[ "4*1=4", "9-4=5", "19*5=95" ]
Current State: 95:[4, 1, 19, 9], Operations: [] Exploring Operation: 4*1=4, Resulting Numbers: [19, 9, 4] Generated Node #2: [19, 9, 4] from Operation: 4*1=4 Current State: 95:[19, 9, 4], Operations: ['4*1=4'] Exploring Operation: 9-4=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 9-4=5 Current State: 95:[19, 5], Operations: ['4*1=4', '9-4=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 53, 55, 98, 70 ]
26
[ "55-53=2", "98-70=28", "28-2=26" ]
Current State: 26:[53, 55, 98, 70], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [98, 70, 2] Generated Node #2: [98, 70, 2] from Operation: 55-53=2 Current State: 26:[98, 70, 2], Operations: ['55-53=2'] Exploring Operation: 98-70=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 98-70=28 Current State: 26:[2, 28], Operations: ['55-53=2', '98-70=28'] Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 23, 10, 14, 79 ]
98
[ "23+10=33", "79-14=65", "33+65=98" ]
Current State: 98:[23, 10, 14, 79], Operations: [] Exploring Operation: 23+10=33, Resulting Numbers: [14, 79, 33] Generated Node #2: [14, 79, 33] from Operation: 23+10=33 Current State: 98:[14, 79, 33], Operations: ['23+10=33'] Exploring Operation: 79-14=65, Resulting Numbers: [33, 65] Generated Node #3: [33, 65] from Operation: 79-14=65 Current State: 98:[33, 65], Operations: ['23+10=33', '79-14=65'] Exploring Operation: 33+65=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 49, 75, 36, 6 ]
16
[ "75-49=26", "36+6=42", "42-26=16" ]
Current State: 16:[49, 75, 36, 6], Operations: [] Exploring Operation: 75-49=26, Resulting Numbers: [36, 6, 26] Generated Node #2: [36, 6, 26] from Operation: 75-49=26 Current State: 16:[36, 6, 26], Operations: ['75-49=26'] Exploring Operation: 36+6=42, Resulting Numbers: [26, 42] Generated Node #3: [26, 42] from Operation: 36+6=42 Current State: 16:[26, 42], Operations: ['75-49=26', '36+6=42'] Exploring Operation: 42-26=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 44, 29, 45, 28 ]
89
[ "44+45=89", "29-28=1", "89*1=89" ]
Current State: 89:[44, 29, 45, 28], Operations: [] Exploring Operation: 44+45=89, Resulting Numbers: [29, 28, 89] Generated Node #2: [29, 28, 89] from Operation: 44+45=89 Current State: 89:[29, 28, 89], Operations: ['44+45=89'] Exploring Operation: 29-28=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 29-28=1 Current State: 89:[89, 1], Operations: ['44+45=89', '29-28=1'] Exploring Operation: 89*1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 60, 12, 19, 22 ]
91
[ "60/12=5", "22*5=110", "110-19=91" ]
Current State: 91:[60, 12, 19, 22], Operations: [] Exploring Operation: 60/12=5, Resulting Numbers: [19, 22, 5] Generated Node #2: [19, 22, 5] from Operation: 60/12=5 Current State: 91:[19, 22, 5], Operations: ['60/12=5'] Exploring Operation: 22*5=110, Resulting Numbers: [19, 110] Generated Node #3: [19, 110] from Operation: 22*5=110 Current State: 91:[19, 110], Operations: ['60/12=5', '22*5=110'] Exploring Operation: 110-19=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 18, 12, 20, 16 ]
13
[ "16-12=4", "20/4=5", "18-5=13" ]
Current State: 13:[18, 12, 20, 16], Operations: [] Exploring Operation: 16-12=4, Resulting Numbers: [18, 20, 4] Generated Node #2: [18, 20, 4] from Operation: 16-12=4 Current State: 13:[18, 20, 4], Operations: ['16-12=4'] Exploring Operation: 20/4=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 20/4=5 Current State: 13:[18, 5], Operations: ['16-12=4', '20/4=5'] Exploring Operation: 18-5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 59, 23, 71, 5 ]
37
[ "71-59=12", "5*12=60", "60-23=37" ]
Current State: 37:[59, 23, 71, 5], Operations: [] Exploring Operation: 71-59=12, Resulting Numbers: [23, 5, 12] Generated Node #2: [23, 5, 12] from Operation: 71-59=12 Current State: 37:[23, 5, 12], Operations: ['71-59=12'] Exploring Operation: 5*12=60, Resulting Numbers: [23, 60] Generated Node #3: [23, 60] from Operation: 5*12=60 Current State: 37:[23, 60], Operations: ['71-59=12', '5*12=60'] Exploring Operation: 60-23=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 17, 31, 52, 54 ]
65
[ "54-52=2", "17*2=34", "31+34=65" ]
Current State: 65:[17, 31, 52, 54], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [17, 31, 2] Generated Node #2: [17, 31, 2] from Operation: 54-52=2 Current State: 65:[17, 31, 2], Operations: ['54-52=2'] Exploring Operation: 17*2=34, Resulting Numbers: [31, 34] Generated Node #3: [31, 34] from Operation: 17*2=34 Current State: 65:[31, 34], Operations: ['54-52=2', '17*2=34'] Exploring Operation: 31+34=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 47, 29, 62, 95 ]
45
[ "29+95=124", "124/62=2", "47-2=45" ]
Current State: 45:[47, 29, 62, 95], Operations: [] Exploring Operation: 29+95=124, Resulting Numbers: [47, 62, 124] Generated Node #2: [47, 62, 124] from Operation: 29+95=124 Current State: 45:[47, 62, 124], Operations: ['29+95=124'] Exploring Operation: 124/62=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 124/62=2 Current State: 45:[47, 2], Operations: ['29+95=124', '124/62=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 75, 81, 48, 19 ]
73
[ "81-75=6", "48+19=67", "6+67=73" ]
Current State: 73:[75, 81, 48, 19], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [48, 19, 6] Generated Node #2: [48, 19, 6] from Operation: 81-75=6 Current State: 73:[48, 19, 6], Operations: ['81-75=6'] Exploring Operation: 48+19=67, Resulting Numbers: [6, 67] Generated Node #3: [6, 67] from Operation: 48+19=67 Current State: 73:[6, 67], Operations: ['81-75=6', '48+19=67'] Exploring Operation: 6+67=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 29, 91, 2, 21 ]
66
[ "29+21=50", "50/2=25", "91-25=66" ]
Current State: 66:[29, 91, 2, 21], Operations: [] Exploring Operation: 29+21=50, Resulting Numbers: [91, 2, 50] Generated Node #2: [91, 2, 50] from Operation: 29+21=50 Current State: 66:[91, 2, 50], Operations: ['29+21=50'] Exploring Operation: 50/2=25, Resulting Numbers: [91, 25] Generated Node #3: [91, 25] from Operation: 50/2=25 Current State: 66:[91, 25], Operations: ['29+21=50', '50/2=25'] Exploring Operation: 91-25=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 40, 28, 72, 48 ]
12
[ "40+28=68", "72-68=4", "48/4=12" ]
Current State: 12:[40, 28, 72, 48], Operations: [] Exploring Operation: 40+28=68, Resulting Numbers: [72, 48, 68] Generated Node #2: [72, 48, 68] from Operation: 40+28=68 Current State: 12:[72, 48, 68], Operations: ['40+28=68'] Exploring Operation: 72-68=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 72-68=4 Current State: 12:[48, 4], Operations: ['40+28=68', '72-68=4'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 53, 71, 32, 40 ]
54
[ "71-53=18", "32+40=72", "72-18=54" ]
Current State: 54:[53, 71, 32, 40], Operations: [] Exploring Operation: 71-53=18, Resulting Numbers: [32, 40, 18] Generated Node #2: [32, 40, 18] from Operation: 71-53=18 Current State: 54:[32, 40, 18], Operations: ['71-53=18'] Exploring Operation: 32+40=72, Resulting Numbers: [18, 72] Generated Node #3: [18, 72] from Operation: 32+40=72 Current State: 54:[18, 72], Operations: ['71-53=18', '32+40=72'] Exploring Operation: 72-18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 6, 25, 18, 76 ]
54
[ "18/6=3", "76-25=51", "3+51=54" ]
Current State: 54:[6, 25, 18, 76], Operations: [] Exploring Operation: 18/6=3, Resulting Numbers: [25, 76, 3] Generated Node #2: [25, 76, 3] from Operation: 18/6=3 Current State: 54:[25, 76, 3], Operations: ['18/6=3'] Exploring Operation: 76-25=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 76-25=51 Current State: 54:[3, 51], Operations: ['18/6=3', '76-25=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 26, 86, 6, 21 ]
87
[ "86-26=60", "6+21=27", "60+27=87" ]
Current State: 87:[26, 86, 6, 21], Operations: [] Exploring Operation: 86-26=60, Resulting Numbers: [6, 21, 60] Generated Node #2: [6, 21, 60] from Operation: 86-26=60 Current State: 87:[6, 21, 60], Operations: ['86-26=60'] Exploring Operation: 6+21=27, Resulting Numbers: [60, 27] Generated Node #3: [60, 27] from Operation: 6+21=27 Current State: 87:[60, 27], Operations: ['86-26=60', '6+21=27'] Exploring Operation: 60+27=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 5, 2, 47, 49 ]
86
[ "5*2=10", "47+49=96", "96-10=86" ]
Current State: 86:[5, 2, 47, 49], Operations: [] Exploring Operation: 5*2=10, Resulting Numbers: [47, 49, 10] Generated Node #2: [47, 49, 10] from Operation: 5*2=10 Current State: 86:[47, 49, 10], Operations: ['5*2=10'] Exploring Operation: 47+49=96, Resulting Numbers: [10, 96] Generated Node #3: [10, 96] from Operation: 47+49=96 Current State: 86:[10, 96], Operations: ['5*2=10', '47+49=96'] Exploring Operation: 96-10=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 91, 69, 26, 42 ]
38
[ "91-69=22", "42-26=16", "22+16=38" ]
Current State: 38:[91, 69, 26, 42], Operations: [] Exploring Operation: 91-69=22, Resulting Numbers: [26, 42, 22] Generated Node #2: [26, 42, 22] from Operation: 91-69=22 Current State: 38:[26, 42, 22], Operations: ['91-69=22'] Exploring Operation: 42-26=16, Resulting Numbers: [22, 16] Generated Node #3: [22, 16] from Operation: 42-26=16 Current State: 38:[22, 16], Operations: ['91-69=22', '42-26=16'] Exploring Operation: 22+16=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 88, 82, 84, 94 ]
50
[ "84-82=2", "88/2=44", "94-44=50" ]
Current State: 50:[88, 82, 84, 94], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [88, 94, 2] Generated Node #2: [88, 94, 2] from Operation: 84-82=2 Current State: 50:[88, 94, 2], Operations: ['84-82=2'] Exploring Operation: 88/2=44, Resulting Numbers: [94, 44] Generated Node #3: [94, 44] from Operation: 88/2=44 Current State: 50:[94, 44], Operations: ['84-82=2', '88/2=44'] Exploring Operation: 94-44=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 70, 6, 39, 52 ]
51
[ "70-6=64", "52-39=13", "64-13=51" ]
Current State: 51:[70, 6, 39, 52], Operations: [] Exploring Operation: 70-6=64, Resulting Numbers: [39, 52, 64] Generated Node #2: [39, 52, 64] from Operation: 70-6=64 Current State: 51:[39, 52, 64], Operations: ['70-6=64'] Exploring Operation: 52-39=13, Resulting Numbers: [64, 13] Generated Node #3: [64, 13] from Operation: 52-39=13 Current State: 51:[64, 13], Operations: ['70-6=64', '52-39=13'] Exploring Operation: 64-13=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 48, 92, 29, 89 ]
45
[ "92-89=3", "48/3=16", "29+16=45" ]
Current State: 45:[48, 92, 29, 89], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [48, 29, 3] Generated Node #2: [48, 29, 3] from Operation: 92-89=3 Current State: 45:[48, 29, 3], Operations: ['92-89=3'] Exploring Operation: 48/3=16, Resulting Numbers: [29, 16] Generated Node #3: [29, 16] from Operation: 48/3=16 Current State: 45:[29, 16], Operations: ['92-89=3', '48/3=16'] Exploring Operation: 29+16=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 6, 91, 36, 75 ]
58
[ "6+91=97", "75-36=39", "97-39=58" ]
Current State: 58:[6, 91, 36, 75], Operations: [] Exploring Operation: 6+91=97, Resulting Numbers: [36, 75, 97] Generated Node #2: [36, 75, 97] from Operation: 6+91=97 Current State: 58:[36, 75, 97], Operations: ['6+91=97'] Exploring Operation: 75-36=39, Resulting Numbers: [97, 39] Generated Node #3: [97, 39] from Operation: 75-36=39 Current State: 58:[97, 39], Operations: ['6+91=97', '75-36=39'] Exploring Operation: 97-39=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 16, 99, 88, 46 ]
28
[ "16*99=1584", "1584/88=18", "46-18=28" ]
Current State: 28:[16, 99, 88, 46], Operations: [] Exploring Operation: 16*99=1584, Resulting Numbers: [88, 46, 1584] Generated Node #2: [88, 46, 1584] from Operation: 16*99=1584 Current State: 28:[88, 46, 1584], Operations: ['16*99=1584'] Exploring Operation: 1584/88=18, Resulting Numbers: [46, 18] Generated Node #3: [46, 18] from Operation: 1584/88=18 Current State: 28:[46, 18], Operations: ['16*99=1584', '1584/88=18'] Exploring Operation: 46-18=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 91, 55, 26, 52 ]
44
[ "91-26=65", "55*52=2860", "2860/65=44" ]
Current State: 44:[91, 55, 26, 52], Operations: [] Exploring Operation: 91-26=65, Resulting Numbers: [55, 52, 65] Generated Node #2: [55, 52, 65] from Operation: 91-26=65 Current State: 44:[55, 52, 65], Operations: ['91-26=65'] Exploring Operation: 55*52=2860, Resulting Numbers: [65, 2860] Generated Node #3: [65, 2860] from Operation: 55*52=2860 Current State: 44:[65, 2860], Operations: ['91-26=65', '55*52=2860'] Exploring Operation: 2860/65=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 59, 65, 18, 71 ]
56
[ "71-65=6", "18/6=3", "59-3=56" ]
Current State: 56:[59, 65, 18, 71], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [59, 18, 6] Generated Node #2: [59, 18, 6] from Operation: 71-65=6 Current State: 56:[59, 18, 6], Operations: ['71-65=6'] Exploring Operation: 18/6=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 18/6=3 Current State: 56:[59, 3], Operations: ['71-65=6', '18/6=3'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 39, 53, 13, 42 ]
14
[ "39/13=3", "53-42=11", "3+11=14" ]
Current State: 14:[39, 53, 13, 42], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [53, 42, 3] Generated Node #2: [53, 42, 3] from Operation: 39/13=3 Current State: 14:[53, 42, 3], Operations: ['39/13=3'] Exploring Operation: 53-42=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 53-42=11 Current State: 14:[3, 11], Operations: ['39/13=3', '53-42=11'] Exploring Operation: 3+11=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 83, 85, 31, 10 ]
88
[ "83+10=93", "93/31=3", "85+3=88" ]
Current State: 88:[83, 85, 31, 10], Operations: [] Exploring Operation: 83+10=93, Resulting Numbers: [85, 31, 93] Generated Node #2: [85, 31, 93] from Operation: 83+10=93 Current State: 88:[85, 31, 93], Operations: ['83+10=93'] Exploring Operation: 93/31=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 93/31=3 Current State: 88:[85, 3], Operations: ['83+10=93', '93/31=3'] Exploring Operation: 85+3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 64, 7, 76, 13 ]
72
[ "76-64=12", "13-7=6", "12*6=72" ]
Current State: 72:[64, 7, 76, 13], Operations: [] Exploring Operation: 76-64=12, Resulting Numbers: [7, 13, 12] Generated Node #2: [7, 13, 12] from Operation: 76-64=12 Current State: 72:[7, 13, 12], Operations: ['76-64=12'] Exploring Operation: 13-7=6, Resulting Numbers: [12, 6] Generated Node #3: [12, 6] from Operation: 13-7=6 Current State: 72:[12, 6], Operations: ['76-64=12', '13-7=6'] Exploring Operation: 12*6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 70, 11, 41, 57 ]
65
[ "70+11=81", "57-41=16", "81-16=65" ]
Current State: 65:[70, 11, 41, 57], Operations: [] Exploring Operation: 70+11=81, Resulting Numbers: [41, 57, 81] Generated Node #2: [41, 57, 81] from Operation: 70+11=81 Current State: 65:[41, 57, 81], Operations: ['70+11=81'] Exploring Operation: 57-41=16, Resulting Numbers: [81, 16] Generated Node #3: [81, 16] from Operation: 57-41=16 Current State: 65:[81, 16], Operations: ['70+11=81', '57-41=16'] Exploring Operation: 81-16=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 26, 63, 40, 40 ]
26
[ "40-40=0", "63*0=0", "26+0=26" ]
Current State: 26:[26, 63, 40, 40], Operations: [] Exploring Operation: 40-40=0, Resulting Numbers: [26, 63, 0] Generated Node #2: [26, 63, 0] from Operation: 40-40=0 Current State: 26:[26, 63, 0], Operations: ['40-40=0'] Exploring Operation: 63*0=0, Resulting Numbers: [26, 0] Generated Node #3: [26, 0] from Operation: 63*0=0 Current State: 26:[26, 0], Operations: ['40-40=0', '63*0=0'] Exploring Operation: 26+0=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 70, 22, 15, 30 ]
77
[ "70+22=92", "30-15=15", "92-15=77" ]
Current State: 77:[70, 22, 15, 30], Operations: [] Exploring Operation: 70+22=92, Resulting Numbers: [15, 30, 92] Generated Node #2: [15, 30, 92] from Operation: 70+22=92 Current State: 77:[15, 30, 92], Operations: ['70+22=92'] Exploring Operation: 30-15=15, Resulting Numbers: [92, 15] Generated Node #3: [92, 15] from Operation: 30-15=15 Current State: 77:[92, 15], Operations: ['70+22=92', '30-15=15'] Exploring Operation: 92-15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 19, 72, 11 ]
87
[ "19+11=30", "30/2=15", "72+15=87" ]
Current State: 87:[2, 19, 72, 11], Operations: [] Exploring Operation: 19+11=30, Resulting Numbers: [2, 72, 30] Generated Node #2: [2, 72, 30] from Operation: 19+11=30 Current State: 87:[2, 72, 30], Operations: ['19+11=30'] Exploring Operation: 30/2=15, Resulting Numbers: [72, 15] Generated Node #3: [72, 15] from Operation: 30/2=15 Current State: 87:[72, 15], Operations: ['19+11=30', '30/2=15'] Exploring Operation: 72+15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 82, 84, 88, 14 ]
24
[ "82+14=96", "88-84=4", "96/4=24" ]
Current State: 24:[82, 84, 88, 14], Operations: [] Exploring Operation: 82+14=96, Resulting Numbers: [84, 88, 96] Generated Node #2: [84, 88, 96] from Operation: 82+14=96 Current State: 24:[84, 88, 96], Operations: ['82+14=96'] Exploring Operation: 88-84=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 88-84=4 Current State: 24:[96, 4], Operations: ['82+14=96', '88-84=4'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 73, 12, 69, 7 ]
76
[ "73-69=4", "12+7=19", "4*19=76" ]
Current State: 76:[73, 12, 69, 7], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [12, 7, 4] Generated Node #2: [12, 7, 4] from Operation: 73-69=4 Current State: 76:[12, 7, 4], Operations: ['73-69=4'] Exploring Operation: 12+7=19, Resulting Numbers: [4, 19] Generated Node #3: [4, 19] from Operation: 12+7=19 Current State: 76:[4, 19], Operations: ['73-69=4', '12+7=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 60, 57, 50, 4 ]
32
[ "57-50=7", "4*7=28", "60-28=32" ]
Current State: 32:[60, 57, 50, 4], Operations: [] Exploring Operation: 57-50=7, Resulting Numbers: [60, 4, 7] Generated Node #2: [60, 4, 7] from Operation: 57-50=7 Current State: 32:[60, 4, 7], Operations: ['57-50=7'] Exploring Operation: 4*7=28, Resulting Numbers: [60, 28] Generated Node #3: [60, 28] from Operation: 4*7=28 Current State: 32:[60, 28], Operations: ['57-50=7', '4*7=28'] Exploring Operation: 60-28=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 84, 59, 2, 31 ]
98
[ "59-31=28", "28/2=14", "84+14=98" ]
Current State: 98:[84, 59, 2, 31], Operations: [] Exploring Operation: 59-31=28, Resulting Numbers: [84, 2, 28] Generated Node #2: [84, 2, 28] from Operation: 59-31=28 Current State: 98:[84, 2, 28], Operations: ['59-31=28'] Exploring Operation: 28/2=14, Resulting Numbers: [84, 14] Generated Node #3: [84, 14] from Operation: 28/2=14 Current State: 98:[84, 14], Operations: ['59-31=28', '28/2=14'] Exploring Operation: 84+14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 17, 14, 64, 51 ]
16
[ "17-14=3", "64-51=13", "3+13=16" ]
Current State: 16:[17, 14, 64, 51], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [64, 51, 3] Generated Node #2: [64, 51, 3] from Operation: 17-14=3 Current State: 16:[64, 51, 3], Operations: ['17-14=3'] Exploring Operation: 64-51=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 64-51=13 Current State: 16:[3, 13], Operations: ['17-14=3', '64-51=13'] Exploring Operation: 3+13=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 32, 32, 83, 31 ]
83
[ "32-32=0", "31*0=0", "83+0=83" ]
Current State: 83:[32, 32, 83, 31], Operations: [] Exploring Operation: 32-32=0, Resulting Numbers: [83, 31, 0] Generated Node #2: [83, 31, 0] from Operation: 32-32=0 Current State: 83:[83, 31, 0], Operations: ['32-32=0'] Exploring Operation: 31*0=0, Resulting Numbers: [83, 0] Generated Node #3: [83, 0] from Operation: 31*0=0 Current State: 83:[83, 0], Operations: ['32-32=0', '31*0=0'] Exploring Operation: 83+0=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 15, 50, 24 ]
13
[ "15-2=13", "50-24=26", "26-13=13" ]
Current State: 13:[2, 15, 50, 24], Operations: [] Exploring Operation: 15-2=13, Resulting Numbers: [50, 24, 13] Generated Node #2: [50, 24, 13] from Operation: 15-2=13 Current State: 13:[50, 24, 13], Operations: ['15-2=13'] Exploring Operation: 50-24=26, Resulting Numbers: [13, 26] Generated Node #3: [13, 26] from Operation: 50-24=26 Current State: 13:[13, 26], Operations: ['15-2=13', '50-24=26'] Exploring Operation: 26-13=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 28, 81, 9, 41 ]
77
[ "28+81=109", "41-9=32", "109-32=77" ]
Current State: 77:[28, 81, 9, 41], Operations: [] Exploring Operation: 28+81=109, Resulting Numbers: [9, 41, 109] Generated Node #2: [9, 41, 109] from Operation: 28+81=109 Current State: 77:[9, 41, 109], Operations: ['28+81=109'] Exploring Operation: 41-9=32, Resulting Numbers: [109, 32] Generated Node #3: [109, 32] from Operation: 41-9=32 Current State: 77:[109, 32], Operations: ['28+81=109', '41-9=32'] Exploring Operation: 109-32=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 85, 25, 10, 6 ]
94
[ "85+25=110", "10+6=16", "110-16=94" ]
Current State: 94:[85, 25, 10, 6], Operations: [] Exploring Operation: 85+25=110, Resulting Numbers: [10, 6, 110] Generated Node #2: [10, 6, 110] from Operation: 85+25=110 Current State: 94:[10, 6, 110], Operations: ['85+25=110'] Exploring Operation: 10+6=16, Resulting Numbers: [110, 16] Generated Node #3: [110, 16] from Operation: 10+6=16 Current State: 94:[110, 16], Operations: ['85+25=110', '10+6=16'] Exploring Operation: 110-16=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 67, 64, 47, 41 ]
85
[ "67-64=3", "47+41=88", "88-3=85" ]
Current State: 85:[67, 64, 47, 41], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [47, 41, 3] Generated Node #2: [47, 41, 3] from Operation: 67-64=3 Current State: 85:[47, 41, 3], Operations: ['67-64=3'] Exploring Operation: 47+41=88, Resulting Numbers: [3, 88] Generated Node #3: [3, 88] from Operation: 47+41=88 Current State: 85:[3, 88], Operations: ['67-64=3', '47+41=88'] Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 40, 68, 44, 56 ]
40
[ "68-40=28", "56-44=12", "28+12=40" ]
Current State: 40:[40, 68, 44, 56], Operations: [] Exploring Operation: 68-40=28, Resulting Numbers: [44, 56, 28] Generated Node #2: [44, 56, 28] from Operation: 68-40=28 Current State: 40:[44, 56, 28], Operations: ['68-40=28'] Exploring Operation: 56-44=12, Resulting Numbers: [28, 12] Generated Node #3: [28, 12] from Operation: 56-44=12 Current State: 40:[28, 12], Operations: ['68-40=28', '56-44=12'] Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 19, 89, 44, 39 ]
75
[ "89-19=70", "44-39=5", "70+5=75" ]
Current State: 75:[19, 89, 44, 39], Operations: [] Exploring Operation: 89-19=70, Resulting Numbers: [44, 39, 70] Generated Node #2: [44, 39, 70] from Operation: 89-19=70 Current State: 75:[44, 39, 70], Operations: ['89-19=70'] Exploring Operation: 44-39=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 44-39=5 Current State: 75:[70, 5], Operations: ['89-19=70', '44-39=5'] Exploring Operation: 70+5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 28, 7, 86, 14 ]
43
[ "28-14=14", "7*86=602", "602/14=43" ]
Current State: 43:[28, 7, 86, 14], Operations: [] Exploring Operation: 28-14=14, Resulting Numbers: [7, 86, 14] Generated Node #2: [7, 86, 14] from Operation: 28-14=14 Current State: 43:[7, 86, 14], Operations: ['28-14=14'] Exploring Operation: 7*86=602, Resulting Numbers: [14, 602] Generated Node #3: [14, 602] from Operation: 7*86=602 Current State: 43:[14, 602], Operations: ['28-14=14', '7*86=602'] Exploring Operation: 602/14=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 14, 51, 23, 32 ]
92
[ "51-14=37", "23+32=55", "37+55=92" ]
Current State: 92:[14, 51, 23, 32], Operations: [] Exploring Operation: 51-14=37, Resulting Numbers: [23, 32, 37] Generated Node #2: [23, 32, 37] from Operation: 51-14=37 Current State: 92:[23, 32, 37], Operations: ['51-14=37'] Exploring Operation: 23+32=55, Resulting Numbers: [37, 55] Generated Node #3: [37, 55] from Operation: 23+32=55 Current State: 92:[37, 55], Operations: ['51-14=37', '23+32=55'] Exploring Operation: 37+55=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 71, 19, 42, 93 ]
14
[ "71+19=90", "93-90=3", "42/3=14" ]
Current State: 14:[71, 19, 42, 93], Operations: [] Exploring Operation: 71+19=90, Resulting Numbers: [42, 93, 90] Generated Node #2: [42, 93, 90] from Operation: 71+19=90 Current State: 14:[42, 93, 90], Operations: ['71+19=90'] Exploring Operation: 93-90=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 93-90=3 Current State: 14:[42, 3], Operations: ['71+19=90', '93-90=3'] Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 15, 70, 2, 52 ]
51
[ "70-52=18", "2*18=36", "15+36=51" ]
Current State: 51:[15, 70, 2, 52], Operations: [] Exploring Operation: 70-52=18, Resulting Numbers: [15, 2, 18] Generated Node #2: [15, 2, 18] from Operation: 70-52=18 Current State: 51:[15, 2, 18], Operations: ['70-52=18'] Exploring Operation: 2*18=36, Resulting Numbers: [15, 36] Generated Node #3: [15, 36] from Operation: 2*18=36 Current State: 51:[15, 36], Operations: ['70-52=18', '2*18=36'] Exploring Operation: 15+36=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 25, 58, 80, 84 ]
87
[ "25+58=83", "84-80=4", "83+4=87" ]
Current State: 87:[25, 58, 80, 84], Operations: [] Exploring Operation: 25+58=83, Resulting Numbers: [80, 84, 83] Generated Node #2: [80, 84, 83] from Operation: 25+58=83 Current State: 87:[80, 84, 83], Operations: ['25+58=83'] Exploring Operation: 84-80=4, Resulting Numbers: [83, 4] Generated Node #3: [83, 4] from Operation: 84-80=4 Current State: 87:[83, 4], Operations: ['25+58=83', '84-80=4'] Exploring Operation: 83+4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 16, 92, 5, 32 ]
51
[ "16*92=1472", "1472/32=46", "5+46=51" ]
Current State: 51:[16, 92, 5, 32], Operations: [] Exploring Operation: 16*92=1472, Resulting Numbers: [5, 32, 1472] Generated Node #2: [5, 32, 1472] from Operation: 16*92=1472 Current State: 51:[5, 32, 1472], Operations: ['16*92=1472'] Exploring Operation: 1472/32=46, Resulting Numbers: [5, 46] Generated Node #3: [5, 46] from Operation: 1472/32=46 Current State: 51:[5, 46], Operations: ['16*92=1472', '1472/32=46'] Exploring Operation: 5+46=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 52, 60, 65, 2 ]
94
[ "52+60=112", "112-65=47", "2*47=94" ]
Current State: 94:[52, 60, 65, 2], Operations: [] Exploring Operation: 52+60=112, Resulting Numbers: [65, 2, 112] Generated Node #2: [65, 2, 112] from Operation: 52+60=112 Current State: 94:[65, 2, 112], Operations: ['52+60=112'] Exploring Operation: 112-65=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 112-65=47 Current State: 94:[2, 47], Operations: ['52+60=112', '112-65=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 41, 16, 7, 34 ]
85
[ "34-16=18", "7*18=126", "126-41=85" ]
Current State: 85:[41, 16, 7, 34], Operations: [] Exploring Operation: 34-16=18, Resulting Numbers: [41, 7, 18] Generated Node #2: [41, 7, 18] from Operation: 34-16=18 Current State: 85:[41, 7, 18], Operations: ['34-16=18'] Exploring Operation: 7*18=126, Resulting Numbers: [41, 126] Generated Node #3: [41, 126] from Operation: 7*18=126 Current State: 85:[41, 126], Operations: ['34-16=18', '7*18=126'] Exploring Operation: 126-41=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 13, 91, 52, 53 ]
56
[ "91-52=39", "39/13=3", "53+3=56" ]
Current State: 56:[13, 91, 52, 53], Operations: [] Exploring Operation: 91-52=39, Resulting Numbers: [13, 53, 39] Generated Node #2: [13, 53, 39] from Operation: 91-52=39 Current State: 56:[13, 53, 39], Operations: ['91-52=39'] Exploring Operation: 39/13=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 39/13=3 Current State: 56:[53, 3], Operations: ['91-52=39', '39/13=3'] Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 38, 18, 12, 96 ]
52
[ "38+18=56", "12+96=108", "108-56=52" ]
Current State: 52:[38, 18, 12, 96], Operations: [] Exploring Operation: 38+18=56, Resulting Numbers: [12, 96, 56] Generated Node #2: [12, 96, 56] from Operation: 38+18=56 Current State: 52:[12, 96, 56], Operations: ['38+18=56'] Exploring Operation: 12+96=108, Resulting Numbers: [56, 108] Generated Node #3: [56, 108] from Operation: 12+96=108 Current State: 52:[56, 108], Operations: ['38+18=56', '12+96=108'] Exploring Operation: 108-56=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 83, 88, 11, 13 ]
19
[ "88-83=5", "11+13=24", "24-5=19" ]
Current State: 19:[83, 88, 11, 13], Operations: [] Exploring Operation: 88-83=5, Resulting Numbers: [11, 13, 5] Generated Node #2: [11, 13, 5] from Operation: 88-83=5 Current State: 19:[11, 13, 5], Operations: ['88-83=5'] Exploring Operation: 11+13=24, Resulting Numbers: [5, 24] Generated Node #3: [5, 24] from Operation: 11+13=24 Current State: 19:[5, 24], Operations: ['88-83=5', '11+13=24'] Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 85, 6, 16, 32 ]
95
[ "85-6=79", "32-16=16", "79+16=95" ]
Current State: 95:[85, 6, 16, 32], Operations: [] Exploring Operation: 85-6=79, Resulting Numbers: [16, 32, 79] Generated Node #2: [16, 32, 79] from Operation: 85-6=79 Current State: 95:[16, 32, 79], Operations: ['85-6=79'] Exploring Operation: 32-16=16, Resulting Numbers: [79, 16] Generated Node #3: [79, 16] from Operation: 32-16=16 Current State: 95:[79, 16], Operations: ['85-6=79', '32-16=16'] Exploring Operation: 79+16=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 20, 69, 88, 37 ]
100
[ "69-20=49", "88-37=51", "49+51=100" ]
Current State: 100:[20, 69, 88, 37], Operations: [] Exploring Operation: 69-20=49, Resulting Numbers: [88, 37, 49] Generated Node #2: [88, 37, 49] from Operation: 69-20=49 Current State: 100:[88, 37, 49], Operations: ['69-20=49'] Exploring Operation: 88-37=51, Resulting Numbers: [49, 51] Generated Node #3: [49, 51] from Operation: 88-37=51 Current State: 100:[49, 51], Operations: ['69-20=49', '88-37=51'] Exploring Operation: 49+51=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 22, 84, 91, 76 ]
77
[ "84-22=62", "91-76=15", "62+15=77" ]
Current State: 77:[22, 84, 91, 76], Operations: [] Exploring Operation: 84-22=62, Resulting Numbers: [91, 76, 62] Generated Node #2: [91, 76, 62] from Operation: 84-22=62 Current State: 77:[91, 76, 62], Operations: ['84-22=62'] Exploring Operation: 91-76=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 91-76=15 Current State: 77:[62, 15], Operations: ['84-22=62', '91-76=15'] Exploring Operation: 62+15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 3, 10, 10 ]
43
[ "3+10=13", "3*10=30", "13+30=43" ]
Current State: 43:[3, 3, 10, 10], Operations: [] Exploring Operation: 3+10=13, Resulting Numbers: [13] 13,43 equal: Goal Reached Exploring Operation: 3*10=30, Resulting Numbers: [13, 30] Generated Node #2: [13, 30] from Operation: 3*10=30 Current State: 43:[13, 30], Operations: ['3*10=30'] Exploring Operation: 13+30=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4