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
[ 68, 49, 41, 1 ]
77
[ "68+49=117", "41-1=40", "117-40=77" ]
Current State: 77:[68, 49, 41, 1], Operations: [] Exploring Operation: 68+49=117, Resulting Numbers: [41, 1, 117] Generated Node #2: [41, 1, 117] from Operation: 68+49=117 Current State: 77:[41, 1, 117], Operations: ['68+49=117'] Exploring Operation: 41-1=40, Resulting Numbers: [117, 40] Generated Node #3: [117, 40] from Operation: 41-1=40 Current State: 77:[117, 40], Operations: ['68+49=117', '41-1=40'] Exploring Operation: 117-40=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 39, 24, 36, 80 ]
54
[ "39*24=936", "936/36=26", "80-26=54" ]
Current State: 54:[39, 24, 36, 80], Operations: [] Exploring Operation: 39*24=936, Resulting Numbers: [36, 80, 936] Generated Node #2: [36, 80, 936] from Operation: 39*24=936 Current State: 54:[36, 80, 936], Operations: ['39*24=936'] Exploring Operation: 936/36=26, Resulting Numbers: [80, 26] Generated Node #3: [80, 26] from Operation: 936/36=26 Current State: 54:[80, 26], Operations: ['39*24=936', '936/36=26'] Exploring Operation: 80-26=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 66, 6, 42, 74 ]
28
[ "66-6=60", "74-42=32", "60-32=28" ]
Current State: 28:[66, 6, 42, 74], Operations: [] Exploring Operation: 66-6=60, Resulting Numbers: [42, 74, 60] Generated Node #2: [42, 74, 60] from Operation: 66-6=60 Current State: 28:[42, 74, 60], Operations: ['66-6=60'] Exploring Operation: 74-42=32, Resulting Numbers: [60, 32] Generated Node #3: [60, 32] from Operation: 74-42=32 Current State: 28:[60, 32], Operations: ['66-6=60', '74-42=32'] Exploring Operation: 60-32=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 63, 31, 30, 62 ]
62
[ "63+31=94", "62-30=32", "94-32=62" ]
Current State: 62:[63, 31, 30, 62], Operations: [] Exploring Operation: 63+31=94, Resulting Numbers: [30, 62, 94] Generated Node #2: [30, 62, 94] from Operation: 63+31=94 Current State: 62:[30, 62, 94], Operations: ['63+31=94'] Exploring Operation: 62-30=32, Resulting Numbers: [94, 32] Generated Node #3: [94, 32] from Operation: 62-30=32 Current State: 62:[94, 32], Operations: ['63+31=94', '62-30=32'] Exploring Operation: 94-32=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 8, 67, 8, 64 ]
16
[ "67-64=3", "8*3=24", "24-8=16" ]
Current State: 16:[8, 67, 8, 64], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [8, 8, 3] Generated Node #2: [8, 8, 3] from Operation: 67-64=3 Current State: 16:[8, 8, 3], Operations: ['67-64=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,16 equal: Goal Reached Exploring Operation: 24-8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 46, 48, 91, 34 ]
31
[ "46+48=94", "91+34=125", "125-94=31" ]
Current State: 31:[46, 48, 91, 34], Operations: [] Exploring Operation: 46+48=94, Resulting Numbers: [91, 34, 94] Generated Node #2: [91, 34, 94] from Operation: 46+48=94 Current State: 31:[91, 34, 94], Operations: ['46+48=94'] Exploring Operation: 91+34=125, Resulting Numbers: [94, 125] Generated Node #3: [94, 125] from Operation: 91+34=125 Current State: 31:[94, 125], Operations: ['46+48=94', '91+34=125'] Exploring Operation: 125-94=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 9, 13, 97, 2 ]
18
[ "9*13=117", "97+2=99", "117-99=18" ]
Current State: 18:[9, 13, 97, 2], Operations: [] Exploring Operation: 9*13=117, Resulting Numbers: [97, 2, 117] Generated Node #2: [97, 2, 117] from Operation: 9*13=117 Current State: 18:[97, 2, 117], Operations: ['9*13=117'] Exploring Operation: 97+2=99, Resulting Numbers: [117, 99] Generated Node #3: [117, 99] from Operation: 97+2=99 Current State: 18:[117, 99], Operations: ['9*13=117', '97+2=99'] Exploring Operation: 117-99=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 30, 74, 25, 28 ]
62
[ "30-28=2", "74/2=37", "25+37=62" ]
Current State: 62:[30, 74, 25, 28], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [74, 25, 2] Generated Node #2: [74, 25, 2] from Operation: 30-28=2 Current State: 62:[74, 25, 2], Operations: ['30-28=2'] Exploring Operation: 74/2=37, Resulting Numbers: [25, 37] Generated Node #3: [25, 37] from Operation: 74/2=37 Current State: 62:[25, 37], Operations: ['30-28=2', '74/2=37'] Exploring Operation: 25+37=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 69, 30, 35, 14 ]
10
[ "69-30=39", "35+14=49", "49-39=10" ]
Current State: 10:[69, 30, 35, 14], Operations: [] Exploring Operation: 69-30=39, Resulting Numbers: [35, 14, 39] Generated Node #2: [35, 14, 39] from Operation: 69-30=39 Current State: 10:[35, 14, 39], Operations: ['69-30=39'] Exploring Operation: 35+14=49, Resulting Numbers: [39, 49] Generated Node #3: [39, 49] from Operation: 35+14=49 Current State: 10:[39, 49], Operations: ['69-30=39', '35+14=49'] Exploring Operation: 49-39=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 61, 48, 3, 86 ]
70
[ "61-48=13", "86-3=83", "83-13=70" ]
Current State: 70:[61, 48, 3, 86], Operations: [] Exploring Operation: 61-48=13, Resulting Numbers: [3, 86, 13] Generated Node #2: [3, 86, 13] from Operation: 61-48=13 Current State: 70:[3, 86, 13], Operations: ['61-48=13'] Exploring Operation: 86-3=83, Resulting Numbers: [13, 83] Generated Node #3: [13, 83] from Operation: 86-3=83 Current State: 70:[13, 83], Operations: ['61-48=13', '86-3=83'] Exploring Operation: 83-13=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 11, 70, 2, 75 ]
53
[ "75-70=5", "11*5=55", "55-2=53" ]
Current State: 53:[11, 70, 2, 75], Operations: [] Exploring Operation: 75-70=5, Resulting Numbers: [11, 2, 5] Generated Node #2: [11, 2, 5] from Operation: 75-70=5 Current State: 53:[11, 2, 5], Operations: ['75-70=5'] Exploring Operation: 11*5=55, Resulting Numbers: [2, 55] Generated Node #3: [2, 55] from Operation: 11*5=55 Current State: 53:[2, 55], Operations: ['75-70=5', '11*5=55'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 49, 63, 75, 70 ]
70
[ "63-49=14", "75-70=5", "14*5=70" ]
Current State: 70:[49, 63, 75, 70], Operations: [] Exploring Operation: 63-49=14, Resulting Numbers: [75, 70, 14] Generated Node #2: [75, 70, 14] from Operation: 63-49=14 Current State: 70:[75, 70, 14], Operations: ['63-49=14'] Exploring Operation: 75-70=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 75-70=5 Current State: 70:[14, 5], Operations: ['63-49=14', '75-70=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 34, 55, 43, 59 ]
58
[ "43+59=102", "102/34=3", "55+3=58" ]
Current State: 58:[34, 55, 43, 59], Operations: [] Exploring Operation: 43+59=102, Resulting Numbers: [34, 55, 102] Generated Node #2: [34, 55, 102] from Operation: 43+59=102 Current State: 58:[34, 55, 102], Operations: ['43+59=102'] Exploring Operation: 102/34=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 102/34=3 Current State: 58:[55, 3], Operations: ['43+59=102', '102/34=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 7, 5, 38, 84 ]
80
[ "7-5=2", "84/2=42", "38+42=80" ]
Current State: 80:[7, 5, 38, 84], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [38, 84, 2] Generated Node #2: [38, 84, 2] from Operation: 7-5=2 Current State: 80:[38, 84, 2], Operations: ['7-5=2'] Exploring Operation: 84/2=42, Resulting Numbers: [38, 42] Generated Node #3: [38, 42] from Operation: 84/2=42 Current State: 80:[38, 42], Operations: ['7-5=2', '84/2=42'] Exploring Operation: 38+42=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 20, 2, 40, 27 ]
26
[ "20*2=40", "40/40=1", "27-1=26" ]
Current State: 26:[20, 2, 40, 27], Operations: [] Exploring Operation: 20*2=40, Resulting Numbers: [40, 27, 40] Generated Node #2: [40, 27, 40] from Operation: 20*2=40 Current State: 26:[40, 27, 40], Operations: ['20*2=40'] Exploring Operation: 40/40=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 40/40=1 Current State: 26:[27, 1], Operations: ['20*2=40', '40/40=1'] Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 10, 92, 30, 38 ]
43
[ "92+38=130", "130/10=13", "30+13=43" ]
Current State: 43:[10, 92, 30, 38], Operations: [] Exploring Operation: 92+38=130, Resulting Numbers: [10, 30, 130] Generated Node #2: [10, 30, 130] from Operation: 92+38=130 Current State: 43:[10, 30, 130], Operations: ['92+38=130'] Exploring Operation: 130/10=13, Resulting Numbers: [30, 13] Generated Node #3: [30, 13] from Operation: 130/10=13 Current State: 43:[30, 13], Operations: ['92+38=130', '130/10=13'] Exploring Operation: 30+13=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 33, 64, 67, 98 ]
67
[ "33+64=97", "98-97=1", "67*1=67" ]
Current State: 67:[33, 64, 67, 98], Operations: [] Exploring Operation: 33+64=97, Resulting Numbers: [67, 98, 97] Generated Node #2: [67, 98, 97] from Operation: 33+64=97 Current State: 67:[67, 98, 97], Operations: ['33+64=97'] Exploring Operation: 98-97=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 98-97=1 Current State: 67:[67, 1], Operations: ['33+64=97', '98-97=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 9, 92, 96, 91 ]
96
[ "9+92=101", "96-91=5", "101-5=96" ]
Current State: 96:[9, 92, 96, 91], Operations: [] Exploring Operation: 9+92=101, Resulting Numbers: [96, 91, 101] Generated Node #2: [96, 91, 101] from Operation: 9+92=101 Current State: 96:[96, 91, 101], Operations: ['9+92=101'] Exploring Operation: 96-91=5, Resulting Numbers: [101, 5] Generated Node #3: [101, 5] from Operation: 96-91=5 Current State: 96:[101, 5], Operations: ['9+92=101', '96-91=5'] Exploring Operation: 101-5=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 36, 74, 42, 84 ]
55
[ "36+74=110", "84/42=2", "110/2=55" ]
Current State: 55:[36, 74, 42, 84], Operations: [] Exploring Operation: 36+74=110, Resulting Numbers: [42, 84, 110] Generated Node #2: [42, 84, 110] from Operation: 36+74=110 Current State: 55:[42, 84, 110], Operations: ['36+74=110'] Exploring Operation: 84/42=2, Resulting Numbers: [110, 2] Generated Node #3: [110, 2] from Operation: 84/42=2 Current State: 55:[110, 2], Operations: ['36+74=110', '84/42=2'] Exploring Operation: 110/2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 6, 26, 2, 21 ]
35
[ "6*2=12", "26+21=47", "47-12=35" ]
Current State: 35:[6, 26, 2, 21], Operations: [] Exploring Operation: 6*2=12, Resulting Numbers: [26, 21, 12] Generated Node #2: [26, 21, 12] from Operation: 6*2=12 Current State: 35:[26, 21, 12], Operations: ['6*2=12'] Exploring Operation: 26+21=47, Resulting Numbers: [12, 47] Generated Node #3: [12, 47] from Operation: 26+21=47 Current State: 35:[12, 47], Operations: ['6*2=12', '26+21=47'] Exploring Operation: 47-12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 82, 44, 34, 21 ]
40
[ "82+44=126", "126/21=6", "34+6=40" ]
Current State: 40:[82, 44, 34, 21], Operations: [] Exploring Operation: 82+44=126, Resulting Numbers: [34, 21, 126] Generated Node #2: [34, 21, 126] from Operation: 82+44=126 Current State: 40:[34, 21, 126], Operations: ['82+44=126'] Exploring Operation: 126/21=6, Resulting Numbers: [34, 6] Generated Node #3: [34, 6] from Operation: 126/21=6 Current State: 40:[34, 6], Operations: ['82+44=126', '126/21=6'] Exploring Operation: 34+6=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 85, 90, 3, 43 ]
98
[ "85+43=128", "90/3=30", "128-30=98" ]
Current State: 98:[85, 90, 3, 43], Operations: [] Exploring Operation: 85+43=128, Resulting Numbers: [90, 3, 128] Generated Node #2: [90, 3, 128] from Operation: 85+43=128 Current State: 98:[90, 3, 128], Operations: ['85+43=128'] Exploring Operation: 90/3=30, Resulting Numbers: [128, 30] Generated Node #3: [128, 30] from Operation: 90/3=30 Current State: 98:[128, 30], Operations: ['85+43=128', '90/3=30'] Exploring Operation: 128-30=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 12, 18, 96, 71 ]
61
[ "96/12=8", "71-18=53", "8+53=61" ]
Current State: 61:[12, 18, 96, 71], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [18, 71, 8] Generated Node #2: [18, 71, 8] from Operation: 96/12=8 Current State: 61:[18, 71, 8], Operations: ['96/12=8'] Exploring Operation: 71-18=53, Resulting Numbers: [8, 53] Generated Node #3: [8, 53] from Operation: 71-18=53 Current State: 61:[8, 53], Operations: ['96/12=8', '71-18=53'] Exploring Operation: 8+53=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 38, 91, 99, 96 ]
23
[ "99-96=3", "38*3=114", "114-91=23" ]
Current State: 23:[38, 91, 99, 96], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [38, 91, 3] Generated Node #2: [38, 91, 3] from Operation: 99-96=3 Current State: 23:[38, 91, 3], Operations: ['99-96=3'] Exploring Operation: 38*3=114, Resulting Numbers: [91, 114] Generated Node #3: [91, 114] from Operation: 38*3=114 Current State: 23:[91, 114], Operations: ['99-96=3', '38*3=114'] Exploring Operation: 114-91=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 4, 18, 37, 41 ]
100
[ "4+18=22", "37+41=78", "22+78=100" ]
Current State: 100:[4, 18, 37, 41], Operations: [] Exploring Operation: 4+18=22, Resulting Numbers: [37, 41, 22] Generated Node #2: [37, 41, 22] from Operation: 4+18=22 Current State: 100:[37, 41, 22], Operations: ['4+18=22'] Exploring Operation: 37+41=78, Resulting Numbers: [22, 78] Generated Node #3: [22, 78] from Operation: 37+41=78 Current State: 100:[22, 78], Operations: ['4+18=22', '37+41=78'] Exploring Operation: 22+78=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 3, 51, 90, 66 ]
41
[ "51/3=17", "90-66=24", "17+24=41" ]
Current State: 41:[3, 51, 90, 66], Operations: [] Exploring Operation: 51/3=17, Resulting Numbers: [90, 66, 17] Generated Node #2: [90, 66, 17] from Operation: 51/3=17 Current State: 41:[90, 66, 17], Operations: ['51/3=17'] Exploring Operation: 90-66=24, Resulting Numbers: [17, 24] Generated Node #3: [17, 24] from Operation: 90-66=24 Current State: 41:[17, 24], Operations: ['51/3=17', '90-66=24'] Exploring Operation: 17+24=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 90, 86, 72, 44 ]
83
[ "90-86=4", "44/4=11", "72+11=83" ]
Current State: 83:[90, 86, 72, 44], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [72, 44, 4] Generated Node #2: [72, 44, 4] from Operation: 90-86=4 Current State: 83:[72, 44, 4], Operations: ['90-86=4'] Exploring Operation: 44/4=11, Resulting Numbers: [72, 11] Generated Node #3: [72, 11] from Operation: 44/4=11 Current State: 83:[72, 11], Operations: ['90-86=4', '44/4=11'] Exploring Operation: 72+11=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 84, 80, 16, 89 ]
32
[ "89-84=5", "80/5=16", "16+16=32" ]
Current State: 32:[84, 80, 16, 89], Operations: [] Exploring Operation: 89-84=5, Resulting Numbers: [80, 16, 5] Generated Node #2: [80, 16, 5] from Operation: 89-84=5 Current State: 32:[80, 16, 5], Operations: ['89-84=5'] Exploring Operation: 80/5=16, Resulting Numbers: [16, 16] Generated Node #3: [16, 16] from Operation: 80/5=16 Current State: 32:[16, 16], Operations: ['89-84=5', '80/5=16'] Exploring Operation: 16+16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 32, 45, 5, 2 ]
70
[ "32+45=77", "5+2=7", "77-7=70" ]
Current State: 70:[32, 45, 5, 2], Operations: [] Exploring Operation: 32+45=77, Resulting Numbers: [5, 2, 77] Generated Node #2: [5, 2, 77] from Operation: 32+45=77 Current State: 70:[5, 2, 77], Operations: ['32+45=77'] Exploring Operation: 5+2=7, Resulting Numbers: [77, 7] Generated Node #3: [77, 7] from Operation: 5+2=7 Current State: 70:[77, 7], Operations: ['32+45=77', '5+2=7'] Exploring Operation: 77-7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 6, 91, 6, 80 ]
60
[ "91-80=11", "6*11=66", "66-6=60" ]
Current State: 60:[6, 91, 6, 80], Operations: [] Exploring Operation: 91-80=11, Resulting Numbers: [6, 6, 11] Generated Node #2: [6, 6, 11] from Operation: 91-80=11 Current State: 60:[6, 6, 11], Operations: ['91-80=11'] Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,60 equal: Goal Reached Exploring Operation: 66-6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 5, 85, 61, 54 ]
83
[ "5+85=90", "61-54=7", "90-7=83" ]
Current State: 83:[5, 85, 61, 54], Operations: [] Exploring Operation: 5+85=90, Resulting Numbers: [61, 54, 90] Generated Node #2: [61, 54, 90] from Operation: 5+85=90 Current State: 83:[61, 54, 90], Operations: ['5+85=90'] Exploring Operation: 61-54=7, Resulting Numbers: [90, 7] Generated Node #3: [90, 7] from Operation: 61-54=7 Current State: 83:[90, 7], Operations: ['5+85=90', '61-54=7'] Exploring Operation: 90-7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 74, 2, 80, 14 ]
20
[ "74-14=60", "80/2=40", "60-40=20" ]
Current State: 20:[74, 2, 80, 14], Operations: [] Exploring Operation: 74-14=60, Resulting Numbers: [2, 80, 60] Generated Node #2: [2, 80, 60] from Operation: 74-14=60 Current State: 20:[2, 80, 60], Operations: ['74-14=60'] Exploring Operation: 80/2=40, Resulting Numbers: [60, 40] Generated Node #3: [60, 40] from Operation: 80/2=40 Current State: 20:[60, 40], Operations: ['74-14=60', '80/2=40'] Exploring Operation: 60-40=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 90, 15, 1, 70 ]
63
[ "90/15=6", "70-1=69", "69-6=63" ]
Current State: 63:[90, 15, 1, 70], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [1, 70, 6] Generated Node #2: [1, 70, 6] from Operation: 90/15=6 Current State: 63:[1, 70, 6], Operations: ['90/15=6'] Exploring Operation: 70-1=69, Resulting Numbers: [6, 69] Generated Node #3: [6, 69] from Operation: 70-1=69 Current State: 63:[6, 69], Operations: ['90/15=6', '70-1=69'] Exploring Operation: 69-6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 65, 68, 87, 18 ]
47
[ "68-65=3", "87/3=29", "18+29=47" ]
Current State: 47:[65, 68, 87, 18], Operations: [] Exploring Operation: 68-65=3, Resulting Numbers: [87, 18, 3] Generated Node #2: [87, 18, 3] from Operation: 68-65=3 Current State: 47:[87, 18, 3], Operations: ['68-65=3'] Exploring Operation: 87/3=29, Resulting Numbers: [18, 29] Generated Node #3: [18, 29] from Operation: 87/3=29 Current State: 47:[18, 29], Operations: ['68-65=3', '87/3=29'] Exploring Operation: 18+29=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 1, 64, 18 ]
59
[ "24-1=23", "64+18=82", "82-23=59" ]
Current State: 59:[24, 1, 64, 18], Operations: [] Exploring Operation: 24-1=23, Resulting Numbers: [64, 18, 23] Generated Node #2: [64, 18, 23] from Operation: 24-1=23 Current State: 59:[64, 18, 23], Operations: ['24-1=23'] Exploring Operation: 64+18=82, Resulting Numbers: [23, 82] Generated Node #3: [23, 82] from Operation: 64+18=82 Current State: 59:[23, 82], Operations: ['24-1=23', '64+18=82'] Exploring Operation: 82-23=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 83, 4, 22, 16 ]
80
[ "4*22=88", "88-83=5", "16*5=80" ]
Current State: 80:[83, 4, 22, 16], Operations: [] Exploring Operation: 4*22=88, Resulting Numbers: [83, 16, 88] Generated Node #2: [83, 16, 88] from Operation: 4*22=88 Current State: 80:[83, 16, 88], Operations: ['4*22=88'] Exploring Operation: 88-83=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 88-83=5 Current State: 80:[16, 5], Operations: ['4*22=88', '88-83=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 36, 42, 38, 37 ]
81
[ "42-36=6", "38+37=75", "6+75=81" ]
Current State: 81:[36, 42, 38, 37], Operations: [] Exploring Operation: 42-36=6, Resulting Numbers: [38, 37, 6] Generated Node #2: [38, 37, 6] from Operation: 42-36=6 Current State: 81:[38, 37, 6], Operations: ['42-36=6'] Exploring Operation: 38+37=75, Resulting Numbers: [6, 75] Generated Node #3: [6, 75] from Operation: 38+37=75 Current State: 81:[6, 75], Operations: ['42-36=6', '38+37=75'] Exploring Operation: 6+75=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 51, 14, 66 ]
19
[ "7*14=98", "51+66=117", "117-98=19" ]
Current State: 19:[7, 51, 14, 66], Operations: [] Exploring Operation: 7*14=98, Resulting Numbers: [51, 66, 98] Generated Node #2: [51, 66, 98] from Operation: 7*14=98 Current State: 19:[51, 66, 98], Operations: ['7*14=98'] Exploring Operation: 51+66=117, Resulting Numbers: [98, 117] Generated Node #3: [98, 117] from Operation: 51+66=117 Current State: 19:[98, 117], Operations: ['7*14=98', '51+66=117'] Exploring Operation: 117-98=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 97, 45, 5, 45 ]
97
[ "45-45=0", "5*0=0", "97+0=97" ]
Current State: 97:[97, 45, 5, 45], Operations: [] Exploring Operation: 45-45=0, Resulting Numbers: [97, 5, 0] Generated Node #2: [97, 5, 0] from Operation: 45-45=0 Current State: 97:[97, 5, 0], Operations: ['45-45=0'] Exploring Operation: 5*0=0, Resulting Numbers: [97, 0] Generated Node #3: [97, 0] from Operation: 5*0=0 Current State: 97:[97, 0], Operations: ['45-45=0', '5*0=0'] Exploring Operation: 97+0=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 90, 96, 80, 30 ]
93
[ "90-80=10", "30/10=3", "96-3=93" ]
Current State: 93:[90, 96, 80, 30], Operations: [] Exploring Operation: 90-80=10, Resulting Numbers: [96, 30, 10] Generated Node #2: [96, 30, 10] from Operation: 90-80=10 Current State: 93:[96, 30, 10], Operations: ['90-80=10'] Exploring Operation: 30/10=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 30/10=3 Current State: 93:[96, 3], Operations: ['90-80=10', '30/10=3'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 3, 19, 58, 23 ]
70
[ "23-19=4", "3*4=12", "58+12=70" ]
Current State: 70:[3, 19, 58, 23], Operations: [] Exploring Operation: 23-19=4, Resulting Numbers: [3, 58, 4] Generated Node #2: [3, 58, 4] from Operation: 23-19=4 Current State: 70:[3, 58, 4], Operations: ['23-19=4'] Exploring Operation: 3*4=12, Resulting Numbers: [58, 12] Generated Node #3: [58, 12] from Operation: 3*4=12 Current State: 70:[58, 12], Operations: ['23-19=4', '3*4=12'] Exploring Operation: 58+12=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 75, 28, 52, 3 ]
96
[ "75-28=47", "52-3=49", "47+49=96" ]
Current State: 96:[75, 28, 52, 3], Operations: [] Exploring Operation: 75-28=47, Resulting Numbers: [52, 3, 47] Generated Node #2: [52, 3, 47] from Operation: 75-28=47 Current State: 96:[52, 3, 47], Operations: ['75-28=47'] Exploring Operation: 52-3=49, Resulting Numbers: [47, 49] Generated Node #3: [47, 49] from Operation: 52-3=49 Current State: 96:[47, 49], Operations: ['75-28=47', '52-3=49'] Exploring Operation: 47+49=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 22, 18, 34, 35 ]
44
[ "22*34=748", "35-18=17", "748/17=44" ]
Current State: 44:[22, 18, 34, 35], Operations: [] Exploring Operation: 22*34=748, Resulting Numbers: [18, 35, 748] Generated Node #2: [18, 35, 748] from Operation: 22*34=748 Current State: 44:[18, 35, 748], Operations: ['22*34=748'] Exploring Operation: 35-18=17, Resulting Numbers: [748, 17] Generated Node #3: [748, 17] from Operation: 35-18=17 Current State: 44:[748, 17], Operations: ['22*34=748', '35-18=17'] Exploring Operation: 748/17=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 93, 95, 21, 95 ]
21
[ "95-95=0", "93*0=0", "21+0=21" ]
Current State: 21:[93, 95, 21, 95], Operations: [] Exploring Operation: 95-95=0, Resulting Numbers: [93, 21, 0] Generated Node #2: [93, 21, 0] from Operation: 95-95=0 Current State: 21:[93, 21, 0], Operations: ['95-95=0'] Exploring Operation: 93*0=0, Resulting Numbers: [21, 0] Generated Node #3: [21, 0] from Operation: 93*0=0 Current State: 21:[21, 0], Operations: ['95-95=0', '93*0=0'] Exploring Operation: 21+0=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 80, 61, 80, 82 ]
82
[ "80-80=0", "61*0=0", "82+0=82" ]
Current State: 82:[80, 61, 80, 82], Operations: [] Exploring Operation: 80-80=0, Resulting Numbers: [61, 82, 0] Generated Node #2: [61, 82, 0] from Operation: 80-80=0 Current State: 82:[61, 82, 0], Operations: ['80-80=0'] Exploring Operation: 61*0=0, Resulting Numbers: [82, 0] Generated Node #3: [82, 0] from Operation: 61*0=0 Current State: 82:[82, 0], Operations: ['80-80=0', '61*0=0'] Exploring Operation: 82+0=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 76, 87, 91, 96 ]
16
[ "87-76=11", "96-91=5", "11+5=16" ]
Current State: 16:[76, 87, 91, 96], Operations: [] Exploring Operation: 87-76=11, Resulting Numbers: [91, 96, 11] Generated Node #2: [91, 96, 11] from Operation: 87-76=11 Current State: 16:[91, 96, 11], Operations: ['87-76=11'] Exploring Operation: 96-91=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 96-91=5 Current State: 16:[11, 5], Operations: ['87-76=11', '96-91=5'] Exploring Operation: 11+5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 60, 97, 15, 62 ]
80
[ "60+97=157", "15+62=77", "157-77=80" ]
Current State: 80:[60, 97, 15, 62], Operations: [] Exploring Operation: 60+97=157, Resulting Numbers: [15, 62, 157] Generated Node #2: [15, 62, 157] from Operation: 60+97=157 Current State: 80:[15, 62, 157], Operations: ['60+97=157'] Exploring Operation: 15+62=77, Resulting Numbers: [157, 77] Generated Node #3: [157, 77] from Operation: 15+62=77 Current State: 80:[157, 77], Operations: ['60+97=157', '15+62=77'] Exploring Operation: 157-77=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 59, 6, 80, 12 ]
67
[ "59+80=139", "6*12=72", "139-72=67" ]
Current State: 67:[59, 6, 80, 12], Operations: [] Exploring Operation: 59+80=139, Resulting Numbers: [6, 12, 139] Generated Node #2: [6, 12, 139] from Operation: 59+80=139 Current State: 67:[6, 12, 139], Operations: ['59+80=139'] Exploring Operation: 6*12=72, Resulting Numbers: [139, 72] Generated Node #3: [139, 72] from Operation: 6*12=72 Current State: 67:[139, 72], Operations: ['59+80=139', '6*12=72'] Exploring Operation: 139-72=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 42, 39, 28, 27 ]
58
[ "42-39=3", "28+27=55", "3+55=58" ]
Current State: 58:[42, 39, 28, 27], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [28, 27, 3] Generated Node #2: [28, 27, 3] from Operation: 42-39=3 Current State: 58:[28, 27, 3], Operations: ['42-39=3'] Exploring Operation: 28+27=55, Resulting Numbers: [3, 55] Generated Node #3: [3, 55] from Operation: 28+27=55 Current State: 58:[3, 55], Operations: ['42-39=3', '28+27=55'] Exploring Operation: 3+55=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 3, 32, 97, 51 ]
48
[ "51/3=17", "97-32=65", "65-17=48" ]
Current State: 48:[3, 32, 97, 51], Operations: [] Exploring Operation: 51/3=17, Resulting Numbers: [32, 97, 17] Generated Node #2: [32, 97, 17] from Operation: 51/3=17 Current State: 48:[32, 97, 17], Operations: ['51/3=17'] Exploring Operation: 97-32=65, Resulting Numbers: [17, 65] Generated Node #3: [17, 65] from Operation: 97-32=65 Current State: 48:[17, 65], Operations: ['51/3=17', '97-32=65'] Exploring Operation: 65-17=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 41, 25, 93, 31 ]
46
[ "41-25=16", "93-31=62", "62-16=46" ]
Current State: 46:[41, 25, 93, 31], Operations: [] Exploring Operation: 41-25=16, Resulting Numbers: [93, 31, 16] Generated Node #2: [93, 31, 16] from Operation: 41-25=16 Current State: 46:[93, 31, 16], Operations: ['41-25=16'] Exploring Operation: 93-31=62, Resulting Numbers: [16, 62] Generated Node #3: [16, 62] from Operation: 93-31=62 Current State: 46:[16, 62], Operations: ['41-25=16', '93-31=62'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 36, 51, 88, 44 ]
85
[ "36+51=87", "88/44=2", "87-2=85" ]
Current State: 85:[36, 51, 88, 44], Operations: [] Exploring Operation: 36+51=87, Resulting Numbers: [88, 44, 87] Generated Node #2: [88, 44, 87] from Operation: 36+51=87 Current State: 85:[88, 44, 87], Operations: ['36+51=87'] Exploring Operation: 88/44=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 88/44=2 Current State: 85:[87, 2], Operations: ['36+51=87', '88/44=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 81, 60, 60, 22 ]
22
[ "60-60=0", "81*0=0", "22+0=22" ]
Current State: 22:[81, 60, 60, 22], Operations: [] Exploring Operation: 60-60=0, Resulting Numbers: [81, 22, 0] Generated Node #2: [81, 22, 0] from Operation: 60-60=0 Current State: 22:[81, 22, 0], Operations: ['60-60=0'] Exploring Operation: 81*0=0, Resulting Numbers: [22, 0] Generated Node #3: [22, 0] from Operation: 81*0=0 Current State: 22:[22, 0], Operations: ['60-60=0', '81*0=0'] Exploring Operation: 22+0=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 9, 72, 10, 15 ]
56
[ "9+72=81", "10+15=25", "81-25=56" ]
Current State: 56:[9, 72, 10, 15], Operations: [] Exploring Operation: 9+72=81, Resulting Numbers: [10, 15, 81] Generated Node #2: [10, 15, 81] from Operation: 9+72=81 Current State: 56:[10, 15, 81], Operations: ['9+72=81'] Exploring Operation: 10+15=25, Resulting Numbers: [81, 25] Generated Node #3: [81, 25] from Operation: 10+15=25 Current State: 56:[81, 25], Operations: ['9+72=81', '10+15=25'] Exploring Operation: 81-25=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 84, 91, 80, 8 ]
24
[ "91-84=7", "8*7=56", "80-56=24" ]
Current State: 24:[84, 91, 80, 8], Operations: [] Exploring Operation: 91-84=7, Resulting Numbers: [80, 8, 7] Generated Node #2: [80, 8, 7] from Operation: 91-84=7 Current State: 24:[80, 8, 7], Operations: ['91-84=7'] Exploring Operation: 8*7=56, Resulting Numbers: [80, 56] Generated Node #3: [80, 56] from Operation: 8*7=56 Current State: 24:[80, 56], Operations: ['91-84=7', '8*7=56'] Exploring Operation: 80-56=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 48, 44, 43, 41 ]
70
[ "43-41=2", "44/2=22", "48+22=70" ]
Current State: 70:[48, 44, 43, 41], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [48, 44, 2] Generated Node #2: [48, 44, 2] from Operation: 43-41=2 Current State: 70:[48, 44, 2], Operations: ['43-41=2'] Exploring Operation: 44/2=22, Resulting Numbers: [48, 22] Generated Node #3: [48, 22] from Operation: 44/2=22 Current State: 70:[48, 22], Operations: ['43-41=2', '44/2=22'] Exploring Operation: 48+22=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 62, 18, 90, 73 ]
97
[ "62+18=80", "90-73=17", "80+17=97" ]
Current State: 97:[62, 18, 90, 73], Operations: [] Exploring Operation: 62+18=80, Resulting Numbers: [90, 73, 80] Generated Node #2: [90, 73, 80] from Operation: 62+18=80 Current State: 97:[90, 73, 80], Operations: ['62+18=80'] Exploring Operation: 90-73=17, Resulting Numbers: [80, 17] Generated Node #3: [80, 17] from Operation: 90-73=17 Current State: 97:[80, 17], Operations: ['62+18=80', '90-73=17'] Exploring Operation: 80+17=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 17, 6, 63, 94 ]
55
[ "17*6=102", "63+94=157", "157-102=55" ]
Current State: 55:[17, 6, 63, 94], Operations: [] Exploring Operation: 17*6=102, Resulting Numbers: [63, 94, 102] Generated Node #2: [63, 94, 102] from Operation: 17*6=102 Current State: 55:[63, 94, 102], Operations: ['17*6=102'] Exploring Operation: 63+94=157, Resulting Numbers: [102, 157] Generated Node #3: [102, 157] from Operation: 63+94=157 Current State: 55:[102, 157], Operations: ['17*6=102', '63+94=157'] Exploring Operation: 157-102=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 7, 92, 23, 51 ]
23
[ "7*92=644", "51-23=28", "644/28=23" ]
Current State: 23:[7, 92, 23, 51], Operations: [] Exploring Operation: 7*92=644, Resulting Numbers: [23, 51, 644] Generated Node #2: [23, 51, 644] from Operation: 7*92=644 Current State: 23:[23, 51, 644], Operations: ['7*92=644'] Exploring Operation: 51-23=28, Resulting Numbers: [644, 28] Generated Node #3: [644, 28] from Operation: 51-23=28 Current State: 23:[644, 28], Operations: ['7*92=644', '51-23=28'] Exploring Operation: 644/28=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 21, 70, 77, 42 ]
45
[ "77-70=7", "21/7=3", "42+3=45" ]
Current State: 45:[21, 70, 77, 42], Operations: [] Exploring Operation: 77-70=7, Resulting Numbers: [21, 42, 7] Generated Node #2: [21, 42, 7] from Operation: 77-70=7 Current State: 45:[21, 42, 7], Operations: ['77-70=7'] Exploring Operation: 21/7=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 21/7=3 Current State: 45:[42, 3], Operations: ['77-70=7', '21/7=3'] Exploring Operation: 42+3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 18, 23, 93, 75 ]
24
[ "93-18=75", "75/75=1", "23+1=24" ]
Current State: 24:[18, 23, 93, 75], Operations: [] Exploring Operation: 93-18=75, Resulting Numbers: [23, 75, 75] Generated Node #2: [23, 75, 75] from Operation: 93-18=75 Current State: 24:[23, 75, 75], Operations: ['93-18=75'] Exploring Operation: 75/75=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 75/75=1 Current State: 24:[23, 1], Operations: ['93-18=75', '75/75=1'] Exploring Operation: 23+1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 46, 41, 53, 98 ]
50
[ "46-41=5", "98-53=45", "5+45=50" ]
Current State: 50:[46, 41, 53, 98], Operations: [] Exploring Operation: 46-41=5, Resulting Numbers: [53, 98, 5] Generated Node #2: [53, 98, 5] from Operation: 46-41=5 Current State: 50:[53, 98, 5], Operations: ['46-41=5'] Exploring Operation: 98-53=45, Resulting Numbers: [5, 45] Generated Node #3: [5, 45] from Operation: 98-53=45 Current State: 50:[5, 45], Operations: ['46-41=5', '98-53=45'] Exploring Operation: 5+45=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 46, 9, 44, 62 ]
80
[ "46-44=2", "9*2=18", "62+18=80" ]
Current State: 80:[46, 9, 44, 62], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [9, 62, 2] Generated Node #2: [9, 62, 2] from Operation: 46-44=2 Current State: 80:[9, 62, 2], Operations: ['46-44=2'] Exploring Operation: 9*2=18, Resulting Numbers: [62, 18] Generated Node #3: [62, 18] from Operation: 9*2=18 Current State: 80:[62, 18], Operations: ['46-44=2', '9*2=18'] Exploring Operation: 62+18=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 12, 86, 43, 89 ]
83
[ "12*43=516", "516/86=6", "89-6=83" ]
Current State: 83:[12, 86, 43, 89], Operations: [] Exploring Operation: 12*43=516, Resulting Numbers: [86, 89, 516] Generated Node #2: [86, 89, 516] from Operation: 12*43=516 Current State: 83:[86, 89, 516], Operations: ['12*43=516'] Exploring Operation: 516/86=6, Resulting Numbers: [89, 6] Generated Node #3: [89, 6] from Operation: 516/86=6 Current State: 83:[89, 6], Operations: ['12*43=516', '516/86=6'] Exploring Operation: 89-6=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 73, 45, 40, 18 ]
17
[ "45-40=5", "18*5=90", "90-73=17" ]
Current State: 17:[73, 45, 40, 18], Operations: [] Exploring Operation: 45-40=5, Resulting Numbers: [73, 18, 5] Generated Node #2: [73, 18, 5] from Operation: 45-40=5 Current State: 17:[73, 18, 5], Operations: ['45-40=5'] Exploring Operation: 18*5=90, Resulting Numbers: [73, 90] Generated Node #3: [73, 90] from Operation: 18*5=90 Current State: 17:[73, 90], Operations: ['45-40=5', '18*5=90'] Exploring Operation: 90-73=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 12, 29, 23, 57 ]
59
[ "29-23=6", "12/6=2", "57+2=59" ]
Current State: 59:[12, 29, 23, 57], Operations: [] Exploring Operation: 29-23=6, Resulting Numbers: [12, 57, 6] Generated Node #2: [12, 57, 6] from Operation: 29-23=6 Current State: 59:[12, 57, 6], Operations: ['29-23=6'] Exploring Operation: 12/6=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 12/6=2 Current State: 59:[57, 2], Operations: ['29-23=6', '12/6=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 6, 19, 27, 19 ]
27
[ "19-19=0", "6*0=0", "27+0=27" ]
Current State: 27:[6, 19, 27, 19], Operations: [] Exploring Operation: 19-19=0, Resulting Numbers: [6, 27, 0] Generated Node #2: [6, 27, 0] from Operation: 19-19=0 Current State: 27:[6, 27, 0], Operations: ['19-19=0'] Exploring Operation: 6*0=0, Resulting Numbers: [27, 0] Generated Node #3: [27, 0] from Operation: 6*0=0 Current State: 27:[27, 0], Operations: ['19-19=0', '6*0=0'] Exploring Operation: 27+0=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 6, 1, 12, 19 ]
17
[ "6*1=6", "12/6=2", "19-2=17" ]
Current State: 17:[6, 1, 12, 19], Operations: [] Exploring Operation: 6*1=6, Resulting Numbers: [12, 19, 6] Generated Node #2: [12, 19, 6] from Operation: 6*1=6 Current State: 17:[12, 19, 6], Operations: ['6*1=6'] Exploring Operation: 12/6=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 12/6=2 Current State: 17:[19, 2], Operations: ['6*1=6', '12/6=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 42, 14, 2, 35 ]
70
[ "42-2=40", "40-35=5", "14*5=70" ]
Current State: 70:[42, 14, 2, 35], Operations: [] Exploring Operation: 42-2=40, Resulting Numbers: [14, 35, 40] Generated Node #2: [14, 35, 40] from Operation: 42-2=40 Current State: 70:[14, 35, 40], Operations: ['42-2=40'] Exploring Operation: 40-35=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 40-35=5 Current State: 70:[14, 5], Operations: ['42-2=40', '40-35=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 14, 2, 6, 96 ]
68
[ "14+6=20", "96/2=48", "20+48=68" ]
Current State: 68:[14, 2, 6, 96], Operations: [] Exploring Operation: 14+6=20, Resulting Numbers: [2, 96, 20] Generated Node #2: [2, 96, 20] from Operation: 14+6=20 Current State: 68:[2, 96, 20], Operations: ['14+6=20'] Exploring Operation: 96/2=48, Resulting Numbers: [20, 48] Generated Node #3: [20, 48] from Operation: 96/2=48 Current State: 68:[20, 48], Operations: ['14+6=20', '96/2=48'] Exploring Operation: 20+48=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 66, 44, 64, 62 ]
29
[ "66*62=4092", "4092/44=93", "93-64=29" ]
Current State: 29:[66, 44, 64, 62], Operations: [] Exploring Operation: 66*62=4092, Resulting Numbers: [44, 64, 4092] Generated Node #2: [44, 64, 4092] from Operation: 66*62=4092 Current State: 29:[44, 64, 4092], Operations: ['66*62=4092'] Exploring Operation: 4092/44=93, Resulting Numbers: [64, 93] Generated Node #3: [64, 93] from Operation: 4092/44=93 Current State: 29:[64, 93], Operations: ['66*62=4092', '4092/44=93'] Exploring Operation: 93-64=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 88, 41, 86, 12 ]
31
[ "88+41=129", "86+12=98", "129-98=31" ]
Current State: 31:[88, 41, 86, 12], Operations: [] Exploring Operation: 88+41=129, Resulting Numbers: [86, 12, 129] Generated Node #2: [86, 12, 129] from Operation: 88+41=129 Current State: 31:[86, 12, 129], Operations: ['88+41=129'] Exploring Operation: 86+12=98, Resulting Numbers: [129, 98] Generated Node #3: [129, 98] from Operation: 86+12=98 Current State: 31:[129, 98], Operations: ['88+41=129', '86+12=98'] Exploring Operation: 129-98=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 81, 77, 86, 5 ]
76
[ "86-81=5", "5/5=1", "77-1=76" ]
Current State: 76:[81, 77, 86, 5], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [77, 5, 5] Generated Node #2: [77, 5, 5] from Operation: 86-81=5 Current State: 76:[77, 5, 5], Operations: ['86-81=5'] Exploring Operation: 5/5=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 5/5=1 Current State: 76:[77, 1], Operations: ['86-81=5', '5/5=1'] Exploring Operation: 77-1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 17, 36, 90, 6 ]
65
[ "36-17=19", "90-6=84", "84-19=65" ]
Current State: 65:[17, 36, 90, 6], Operations: [] Exploring Operation: 36-17=19, Resulting Numbers: [90, 6, 19] Generated Node #2: [90, 6, 19] from Operation: 36-17=19 Current State: 65:[90, 6, 19], Operations: ['36-17=19'] Exploring Operation: 90-6=84, Resulting Numbers: [19, 84] Generated Node #3: [19, 84] from Operation: 90-6=84 Current State: 65:[19, 84], Operations: ['36-17=19', '90-6=84'] Exploring Operation: 84-19=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 86, 44, 37, 87 ]
74
[ "86*37=3182", "87-44=43", "3182/43=74" ]
Current State: 74:[86, 44, 37, 87], Operations: [] Exploring Operation: 86*37=3182, Resulting Numbers: [44, 87, 3182] Generated Node #2: [44, 87, 3182] from Operation: 86*37=3182 Current State: 74:[44, 87, 3182], Operations: ['86*37=3182'] Exploring Operation: 87-44=43, Resulting Numbers: [3182, 43] Generated Node #3: [3182, 43] from Operation: 87-44=43 Current State: 74:[3182, 43], Operations: ['86*37=3182', '87-44=43'] Exploring Operation: 3182/43=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 56, 2, 3, 72 ]
50
[ "72-56=16", "3*16=48", "2+48=50" ]
Current State: 50:[56, 2, 3, 72], Operations: [] Exploring Operation: 72-56=16, Resulting Numbers: [2, 3, 16] Generated Node #2: [2, 3, 16] from Operation: 72-56=16 Current State: 50:[2, 3, 16], Operations: ['72-56=16'] Exploring Operation: 3*16=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 3*16=48 Current State: 50:[2, 48], Operations: ['72-56=16', '3*16=48'] Exploring Operation: 2+48=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 55, 73, 30, 88 ]
25
[ "30*88=2640", "2640/55=48", "73-48=25" ]
Current State: 25:[55, 73, 30, 88], Operations: [] Exploring Operation: 30*88=2640, Resulting Numbers: [55, 73, 2640] Generated Node #2: [55, 73, 2640] from Operation: 30*88=2640 Current State: 25:[55, 73, 2640], Operations: ['30*88=2640'] Exploring Operation: 2640/55=48, Resulting Numbers: [73, 48] Generated Node #3: [73, 48] from Operation: 2640/55=48 Current State: 25:[73, 48], Operations: ['30*88=2640', '2640/55=48'] Exploring Operation: 73-48=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 95, 79, 34, 17 ]
67
[ "95-79=16", "34+17=51", "16+51=67" ]
Current State: 67:[95, 79, 34, 17], Operations: [] Exploring Operation: 95-79=16, Resulting Numbers: [34, 17, 16] Generated Node #2: [34, 17, 16] from Operation: 95-79=16 Current State: 67:[34, 17, 16], Operations: ['95-79=16'] Exploring Operation: 34+17=51, Resulting Numbers: [16, 51] Generated Node #3: [16, 51] from Operation: 34+17=51 Current State: 67:[16, 51], Operations: ['95-79=16', '34+17=51'] Exploring Operation: 16+51=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 1, 74, 91, 18 ]
79
[ "91-1=90", "90/18=5", "74+5=79" ]
Current State: 79:[1, 74, 91, 18], Operations: [] Exploring Operation: 91-1=90, Resulting Numbers: [74, 18, 90] Generated Node #2: [74, 18, 90] from Operation: 91-1=90 Current State: 79:[74, 18, 90], Operations: ['91-1=90'] Exploring Operation: 90/18=5, Resulting Numbers: [74, 5] Generated Node #3: [74, 5] from Operation: 90/18=5 Current State: 79:[74, 5], Operations: ['91-1=90', '90/18=5'] Exploring Operation: 74+5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 80, 65, 28, 15 ]
75
[ "28-15=13", "65/13=5", "80-5=75" ]
Current State: 75:[80, 65, 28, 15], Operations: [] Exploring Operation: 28-15=13, Resulting Numbers: [80, 65, 13] Generated Node #2: [80, 65, 13] from Operation: 28-15=13 Current State: 75:[80, 65, 13], Operations: ['28-15=13'] Exploring Operation: 65/13=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 65/13=5 Current State: 75:[80, 5], Operations: ['28-15=13', '65/13=5'] Exploring Operation: 80-5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 92, 88, 2, 99 ]
70
[ "99-88=11", "2*11=22", "92-22=70" ]
Current State: 70:[92, 88, 2, 99], Operations: [] Exploring Operation: 99-88=11, Resulting Numbers: [92, 2, 11] Generated Node #2: [92, 2, 11] from Operation: 99-88=11 Current State: 70:[92, 2, 11], Operations: ['99-88=11'] Exploring Operation: 2*11=22, Resulting Numbers: [92, 22] Generated Node #3: [92, 22] from Operation: 2*11=22 Current State: 70:[92, 22], Operations: ['99-88=11', '2*11=22'] Exploring Operation: 92-22=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 80, 40, 87, 7 ]
96
[ "80/40=2", "87+7=94", "2+94=96" ]
Current State: 96:[80, 40, 87, 7], Operations: [] Exploring Operation: 80/40=2, Resulting Numbers: [87, 7, 2] Generated Node #2: [87, 7, 2] from Operation: 80/40=2 Current State: 96:[87, 7, 2], Operations: ['80/40=2'] Exploring Operation: 87+7=94, Resulting Numbers: [2, 94] Generated Node #3: [2, 94] from Operation: 87+7=94 Current State: 96:[2, 94], Operations: ['80/40=2', '87+7=94'] Exploring Operation: 2+94=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 32, 67, 68, 19 ]
12
[ "32+67=99", "68+19=87", "99-87=12" ]
Current State: 12:[32, 67, 68, 19], Operations: [] Exploring Operation: 32+67=99, Resulting Numbers: [68, 19, 99] Generated Node #2: [68, 19, 99] from Operation: 32+67=99 Current State: 12:[68, 19, 99], Operations: ['32+67=99'] Exploring Operation: 68+19=87, Resulting Numbers: [99, 87] Generated Node #3: [99, 87] from Operation: 68+19=87 Current State: 12:[99, 87], Operations: ['32+67=99', '68+19=87'] Exploring Operation: 99-87=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 86, 30, 95, 94 ]
57
[ "86-30=56", "95-94=1", "56+1=57" ]
Current State: 57:[86, 30, 95, 94], Operations: [] Exploring Operation: 86-30=56, Resulting Numbers: [95, 94, 56] Generated Node #2: [95, 94, 56] from Operation: 86-30=56 Current State: 57:[95, 94, 56], Operations: ['86-30=56'] Exploring Operation: 95-94=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 95-94=1 Current State: 57:[56, 1], Operations: ['86-30=56', '95-94=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 28, 90, 31, 55 ]
32
[ "28+90=118", "31+55=86", "118-86=32" ]
Current State: 32:[28, 90, 31, 55], Operations: [] Exploring Operation: 28+90=118, Resulting Numbers: [31, 55, 118] Generated Node #2: [31, 55, 118] from Operation: 28+90=118 Current State: 32:[31, 55, 118], Operations: ['28+90=118'] Exploring Operation: 31+55=86, Resulting Numbers: [118, 86] Generated Node #3: [118, 86] from Operation: 31+55=86 Current State: 32:[118, 86], Operations: ['28+90=118', '31+55=86'] Exploring Operation: 118-86=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 8, 66, 63, 12 ]
36
[ "66-63=3", "8*3=24", "12+24=36" ]
Current State: 36:[8, 66, 63, 12], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [8, 12, 3] Generated Node #2: [8, 12, 3] from Operation: 66-63=3 Current State: 36:[8, 12, 3], Operations: ['66-63=3'] Exploring Operation: 8*3=24, Resulting Numbers: [12, 24] Generated Node #3: [12, 24] from Operation: 8*3=24 Current State: 36:[12, 24], Operations: ['66-63=3', '8*3=24'] Exploring Operation: 12+24=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 22, 49, 80, 31 ]
84
[ "49-22=27", "80+31=111", "111-27=84" ]
Current State: 84:[22, 49, 80, 31], Operations: [] Exploring Operation: 49-22=27, Resulting Numbers: [80, 31, 27] Generated Node #2: [80, 31, 27] from Operation: 49-22=27 Current State: 84:[80, 31, 27], Operations: ['49-22=27'] Exploring Operation: 80+31=111, Resulting Numbers: [27, 111] Generated Node #3: [27, 111] from Operation: 80+31=111 Current State: 84:[27, 111], Operations: ['49-22=27', '80+31=111'] Exploring Operation: 111-27=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 94, 26, 73, 81 ]
76
[ "94-26=68", "81-73=8", "68+8=76" ]
Current State: 76:[94, 26, 73, 81], Operations: [] Exploring Operation: 94-26=68, Resulting Numbers: [73, 81, 68] Generated Node #2: [73, 81, 68] from Operation: 94-26=68 Current State: 76:[73, 81, 68], Operations: ['94-26=68'] Exploring Operation: 81-73=8, Resulting Numbers: [68, 8] Generated Node #3: [68, 8] from Operation: 81-73=8 Current State: 76:[68, 8], Operations: ['94-26=68', '81-73=8'] Exploring Operation: 68+8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 26, 71, 41, 76 ]
62
[ "26+71=97", "76-41=35", "97-35=62" ]
Current State: 62:[26, 71, 41, 76], Operations: [] Exploring Operation: 26+71=97, Resulting Numbers: [41, 76, 97] Generated Node #2: [41, 76, 97] from Operation: 26+71=97 Current State: 62:[41, 76, 97], Operations: ['26+71=97'] Exploring Operation: 76-41=35, Resulting Numbers: [97, 35] Generated Node #3: [97, 35] from Operation: 76-41=35 Current State: 62:[97, 35], Operations: ['26+71=97', '76-41=35'] Exploring Operation: 97-35=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 95, 4, 69, 54 ]
76
[ "95-4=91", "69-54=15", "91-15=76" ]
Current State: 76:[95, 4, 69, 54], Operations: [] Exploring Operation: 95-4=91, Resulting Numbers: [69, 54, 91] Generated Node #2: [69, 54, 91] from Operation: 95-4=91 Current State: 76:[69, 54, 91], Operations: ['95-4=91'] Exploring Operation: 69-54=15, Resulting Numbers: [91, 15] Generated Node #3: [91, 15] from Operation: 69-54=15 Current State: 76:[91, 15], Operations: ['95-4=91', '69-54=15'] Exploring Operation: 91-15=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 54, 8, 18, 17 ]
27
[ "54+8=62", "18+17=35", "62-35=27" ]
Current State: 27:[54, 8, 18, 17], Operations: [] Exploring Operation: 54+8=62, Resulting Numbers: [18, 17, 62] Generated Node #2: [18, 17, 62] from Operation: 54+8=62 Current State: 27:[18, 17, 62], Operations: ['54+8=62'] Exploring Operation: 18+17=35, Resulting Numbers: [62, 35] Generated Node #3: [62, 35] from Operation: 18+17=35 Current State: 27:[62, 35], Operations: ['54+8=62', '18+17=35'] Exploring Operation: 62-35=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 34, 51, 29, 10 ]
26
[ "51+29=80", "80/10=8", "34-8=26" ]
Current State: 26:[34, 51, 29, 10], Operations: [] Exploring Operation: 51+29=80, Resulting Numbers: [34, 10, 80] Generated Node #2: [34, 10, 80] from Operation: 51+29=80 Current State: 26:[34, 10, 80], Operations: ['51+29=80'] Exploring Operation: 80/10=8, Resulting Numbers: [34, 8] Generated Node #3: [34, 8] from Operation: 80/10=8 Current State: 26:[34, 8], Operations: ['51+29=80', '80/10=8'] Exploring Operation: 34-8=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 78, 36, 6, 43 ]
65
[ "78+36=114", "6+43=49", "114-49=65" ]
Current State: 65:[78, 36, 6, 43], Operations: [] Exploring Operation: 78+36=114, Resulting Numbers: [6, 43, 114] Generated Node #2: [6, 43, 114] from Operation: 78+36=114 Current State: 65:[6, 43, 114], Operations: ['78+36=114'] Exploring Operation: 6+43=49, Resulting Numbers: [114, 49] Generated Node #3: [114, 49] from Operation: 6+43=49 Current State: 65:[114, 49], Operations: ['78+36=114', '6+43=49'] Exploring Operation: 114-49=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 38, 52, 54, 92 ]
65
[ "38+92=130", "54-52=2", "130/2=65" ]
Current State: 65:[38, 52, 54, 92], Operations: [] Exploring Operation: 38+92=130, Resulting Numbers: [52, 54, 130] Generated Node #2: [52, 54, 130] from Operation: 38+92=130 Current State: 65:[52, 54, 130], Operations: ['38+92=130'] Exploring Operation: 54-52=2, Resulting Numbers: [130, 2] Generated Node #3: [130, 2] from Operation: 54-52=2 Current State: 65:[130, 2], Operations: ['38+92=130', '54-52=2'] Exploring Operation: 130/2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 90, 85, 37, 3 ]
14
[ "90-85=5", "37+5=42", "42/3=14" ]
Current State: 14:[90, 85, 37, 3], Operations: [] Exploring Operation: 90-85=5, Resulting Numbers: [37, 3, 5] Generated Node #2: [37, 3, 5] from Operation: 90-85=5 Current State: 14:[37, 3, 5], Operations: ['90-85=5'] Exploring Operation: 37+5=42, Resulting Numbers: [3, 42] Generated Node #3: [3, 42] from Operation: 37+5=42 Current State: 14:[3, 42], Operations: ['90-85=5', '37+5=42'] Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 41, 80, 40, 9 ]
72
[ "41+80=121", "40+9=49", "121-49=72" ]
Current State: 72:[41, 80, 40, 9], Operations: [] Exploring Operation: 41+80=121, Resulting Numbers: [40, 9, 121] Generated Node #2: [40, 9, 121] from Operation: 41+80=121 Current State: 72:[40, 9, 121], Operations: ['41+80=121'] Exploring Operation: 40+9=49, Resulting Numbers: [121, 49] Generated Node #3: [121, 49] from Operation: 40+9=49 Current State: 72:[121, 49], Operations: ['41+80=121', '40+9=49'] Exploring Operation: 121-49=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 34, 79, 14, 49 ]
40
[ "34*49=1666", "1666/14=119", "119-79=40" ]
Current State: 40:[34, 79, 14, 49], Operations: [] Exploring Operation: 34*49=1666, Resulting Numbers: [79, 14, 1666] Generated Node #2: [79, 14, 1666] from Operation: 34*49=1666 Current State: 40:[79, 14, 1666], Operations: ['34*49=1666'] Exploring Operation: 1666/14=119, Resulting Numbers: [79, 119] Generated Node #3: [79, 119] from Operation: 1666/14=119 Current State: 40:[79, 119], Operations: ['34*49=1666', '1666/14=119'] Exploring Operation: 119-79=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 85, 95, 82, 91 ]
55
[ "85*91=7735", "95*82=7790", "7790-7735=55" ]
Current State: 55:[85, 95, 82, 91], Operations: [] Exploring Operation: 85*91=7735, Resulting Numbers: [95, 82, 7735] Generated Node #2: [95, 82, 7735] from Operation: 85*91=7735 Current State: 55:[95, 82, 7735], Operations: ['85*91=7735'] Exploring Operation: 95*82=7790, Resulting Numbers: [7735, 7790] Generated Node #3: [7735, 7790] from Operation: 95*82=7790 Current State: 55:[7735, 7790], Operations: ['85*91=7735', '95*82=7790'] Exploring Operation: 7790-7735=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 94, 36, 98, 97 ]
86
[ "97-94=3", "36/3=12", "98-12=86" ]
Current State: 86:[94, 36, 98, 97], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [36, 98, 3] Generated Node #2: [36, 98, 3] from Operation: 97-94=3 Current State: 86:[36, 98, 3], Operations: ['97-94=3'] Exploring Operation: 36/3=12, Resulting Numbers: [98, 12] Generated Node #3: [98, 12] from Operation: 36/3=12 Current State: 86:[98, 12], Operations: ['97-94=3', '36/3=12'] Exploring Operation: 98-12=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 91, 65, 28, 61 ]
67
[ "91+65=156", "28+61=89", "156-89=67" ]
Current State: 67:[91, 65, 28, 61], Operations: [] Exploring Operation: 91+65=156, Resulting Numbers: [28, 61, 156] Generated Node #2: [28, 61, 156] from Operation: 91+65=156 Current State: 67:[28, 61, 156], Operations: ['91+65=156'] Exploring Operation: 28+61=89, Resulting Numbers: [156, 89] Generated Node #3: [156, 89] from Operation: 28+61=89 Current State: 67:[156, 89], Operations: ['91+65=156', '28+61=89'] Exploring Operation: 156-89=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4