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
[ 85, 78, 67, 15 ]
80
[ "78-67=11", "15*11=165", "165-85=80" ]
Current State: 80:[85, 78, 67, 15], Operations: [] Exploring Operation: 78-67=11, Resulting Numbers: [85, 15, 11] Generated Node #2: [85, 15, 11] from Operation: 78-67=11 Current State: 80:[85, 15, 11], Operations: ['78-67=11'] Exploring Operation: 15*11=165, Resulting Numbers: [85, 165] Generated Node #3: [85, 165] from Operation: 15*11=165 Current State: 80:[85, 165], Operations: ['78-67=11', '15*11=165'] Exploring Operation: 165-85=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 17, 14, 92, 21 ]
50
[ "92-17=75", "14*75=1050", "1050/21=50" ]
Current State: 50:[17, 14, 92, 21], Operations: [] Exploring Operation: 92-17=75, Resulting Numbers: [14, 21, 75] Generated Node #2: [14, 21, 75] from Operation: 92-17=75 Current State: 50:[14, 21, 75], Operations: ['92-17=75'] Exploring Operation: 14*75=1050, Resulting Numbers: [21, 1050] Generated Node #3: [21, 1050] from Operation: 14*75=1050 Current State: 50:[21, 1050], Operations: ['92-17=75', '14*75=1050'] Exploring Operation: 1050/21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 7, 60, 91, 74 ]
50
[ "7+60=67", "91-74=17", "67-17=50" ]
Current State: 50:[7, 60, 91, 74], Operations: [] Exploring Operation: 7+60=67, Resulting Numbers: [91, 74, 67] Generated Node #2: [91, 74, 67] from Operation: 7+60=67 Current State: 50:[91, 74, 67], Operations: ['7+60=67'] Exploring Operation: 91-74=17, Resulting Numbers: [67, 17] Generated Node #3: [67, 17] from Operation: 91-74=17 Current State: 50:[67, 17], Operations: ['7+60=67', '91-74=17'] Exploring Operation: 67-17=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 2, 3, 27, 9 ]
39
[ "27-3=24", "2*24=48", "48-9=39" ]
Current State: 39:[2, 3, 27, 9], Operations: [] Exploring Operation: 27-3=24, Resulting Numbers: [2, 9, 24] Generated Node #2: [2, 9, 24] from Operation: 27-3=24 Current State: 39:[2, 9, 24], Operations: ['27-3=24'] Exploring Operation: 2*24=48, Resulting Numbers: [9, 48] Generated Node #3: [9, 48] from Operation: 2*24=48 Current State: 39:[9, 48], Operations: ['27-3=24', '2*24=48'] Exploring Operation: 48-9=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 70, 59, 57 ]
28
[ "70-14=56", "59-57=2", "56/2=28" ]
Current State: 28:[14, 70, 59, 57], Operations: [] Exploring Operation: 70-14=56, Resulting Numbers: [59, 57, 56] Generated Node #2: [59, 57, 56] from Operation: 70-14=56 Current State: 28:[59, 57, 56], Operations: ['70-14=56'] Exploring Operation: 59-57=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 59-57=2 Current State: 28:[56, 2], Operations: ['70-14=56', '59-57=2'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 11, 37, 22, 16 ]
73
[ "16-11=5", "22*5=110", "110-37=73" ]
Current State: 73:[11, 37, 22, 16], Operations: [] Exploring Operation: 16-11=5, Resulting Numbers: [37, 22, 5] Generated Node #2: [37, 22, 5] from Operation: 16-11=5 Current State: 73:[37, 22, 5], Operations: ['16-11=5'] Exploring Operation: 22*5=110, Resulting Numbers: [37, 110] Generated Node #3: [37, 110] from Operation: 22*5=110 Current State: 73:[37, 110], Operations: ['16-11=5', '22*5=110'] Exploring Operation: 110-37=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 40, 9, 93, 17 ]
61
[ "40+9=49", "93+17=110", "110-49=61" ]
Current State: 61:[40, 9, 93, 17], Operations: [] Exploring Operation: 40+9=49, Resulting Numbers: [93, 17, 49] Generated Node #2: [93, 17, 49] from Operation: 40+9=49 Current State: 61:[93, 17, 49], Operations: ['40+9=49'] Exploring Operation: 93+17=110, Resulting Numbers: [49, 110] Generated Node #3: [49, 110] from Operation: 93+17=110 Current State: 61:[49, 110], Operations: ['40+9=49', '93+17=110'] Exploring Operation: 110-49=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 96, 25, 58, 95 ]
82
[ "96-25=71", "58+95=153", "153-71=82" ]
Current State: 82:[96, 25, 58, 95], Operations: [] Exploring Operation: 96-25=71, Resulting Numbers: [58, 95, 71] Generated Node #2: [58, 95, 71] from Operation: 96-25=71 Current State: 82:[58, 95, 71], Operations: ['96-25=71'] Exploring Operation: 58+95=153, Resulting Numbers: [71, 153] Generated Node #3: [71, 153] from Operation: 58+95=153 Current State: 82:[71, 153], Operations: ['96-25=71', '58+95=153'] Exploring Operation: 153-71=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 68, 16, 32, 66 ]
80
[ "68-66=2", "32*2=64", "16+64=80" ]
Current State: 80:[68, 16, 32, 66], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [16, 32, 2] Generated Node #2: [16, 32, 2] from Operation: 68-66=2 Current State: 80:[16, 32, 2], Operations: ['68-66=2'] Exploring Operation: 32*2=64, Resulting Numbers: [16, 64] Generated Node #3: [16, 64] from Operation: 32*2=64 Current State: 80:[16, 64], Operations: ['68-66=2', '32*2=64'] Exploring Operation: 16+64=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 87, 13, 75, 73 ]
75
[ "87-13=74", "74-73=1", "75*1=75" ]
Current State: 75:[87, 13, 75, 73], Operations: [] Exploring Operation: 87-13=74, Resulting Numbers: [75, 73, 74] Generated Node #2: [75, 73, 74] from Operation: 87-13=74 Current State: 75:[75, 73, 74], Operations: ['87-13=74'] Exploring Operation: 74-73=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 74-73=1 Current State: 75:[75, 1], Operations: ['87-13=74', '74-73=1'] Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 13, 65, 96, 85 ]
89
[ "13+65=78", "96-85=11", "78+11=89" ]
Current State: 89:[13, 65, 96, 85], Operations: [] Exploring Operation: 13+65=78, Resulting Numbers: [96, 85, 78] Generated Node #2: [96, 85, 78] from Operation: 13+65=78 Current State: 89:[96, 85, 78], Operations: ['13+65=78'] Exploring Operation: 96-85=11, Resulting Numbers: [78, 11] Generated Node #3: [78, 11] from Operation: 96-85=11 Current State: 89:[78, 11], Operations: ['13+65=78', '96-85=11'] Exploring Operation: 78+11=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 67, 8, 4, 66 ]
65
[ "8/4=2", "66*2=132", "132-67=65" ]
Current State: 65:[67, 8, 4, 66], Operations: [] Exploring Operation: 8/4=2, Resulting Numbers: [67, 66, 2] Generated Node #2: [67, 66, 2] from Operation: 8/4=2 Current State: 65:[67, 66, 2], Operations: ['8/4=2'] Exploring Operation: 66*2=132, Resulting Numbers: [67, 132] Generated Node #3: [67, 132] from Operation: 66*2=132 Current State: 65:[67, 132], Operations: ['8/4=2', '66*2=132'] Exploring Operation: 132-67=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 9, 3, 62, 90 ]
92
[ "9/3=3", "90/3=30", "62+30=92" ]
Current State: 92:[9, 3, 62, 90], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [62, 90, 3] Generated Node #2: [62, 90, 3] from Operation: 9/3=3 Current State: 92:[62, 90, 3], Operations: ['9/3=3'] Exploring Operation: 90/3=30, Resulting Numbers: [62, 30] Generated Node #3: [62, 30] from Operation: 90/3=30 Current State: 92:[62, 30], Operations: ['9/3=3', '90/3=30'] Exploring Operation: 62+30=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 38, 89, 4, 99 ]
12
[ "89-38=51", "99-51=48", "48/4=12" ]
Current State: 12:[38, 89, 4, 99], Operations: [] Exploring Operation: 89-38=51, Resulting Numbers: [4, 99, 51] Generated Node #2: [4, 99, 51] from Operation: 89-38=51 Current State: 12:[4, 99, 51], Operations: ['89-38=51'] Exploring Operation: 99-51=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 99-51=48 Current State: 12:[4, 48], Operations: ['89-38=51', '99-51=48'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 90, 12, 72, 25 ]
10
[ "90*12=1080", "1080/72=15", "25-15=10" ]
Current State: 10:[90, 12, 72, 25], Operations: [] Exploring Operation: 90*12=1080, Resulting Numbers: [72, 25, 1080] Generated Node #2: [72, 25, 1080] from Operation: 90*12=1080 Current State: 10:[72, 25, 1080], Operations: ['90*12=1080'] Exploring Operation: 1080/72=15, Resulting Numbers: [25, 15] Generated Node #3: [25, 15] from Operation: 1080/72=15 Current State: 10:[25, 15], Operations: ['90*12=1080', '1080/72=15'] Exploring Operation: 25-15=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 91, 17, 86, 42 ]
43
[ "91-86=5", "17*5=85", "85-42=43" ]
Current State: 43:[91, 17, 86, 42], Operations: [] Exploring Operation: 91-86=5, Resulting Numbers: [17, 42, 5] Generated Node #2: [17, 42, 5] from Operation: 91-86=5 Current State: 43:[17, 42, 5], Operations: ['91-86=5'] Exploring Operation: 17*5=85, Resulting Numbers: [42, 85] Generated Node #3: [42, 85] from Operation: 17*5=85 Current State: 43:[42, 85], Operations: ['91-86=5', '17*5=85'] Exploring Operation: 85-42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 45, 55, 86, 42 ]
36
[ "86-42=44", "45*44=1980", "1980/55=36" ]
Current State: 36:[45, 55, 86, 42], Operations: [] Exploring Operation: 86-42=44, Resulting Numbers: [45, 55, 44] Generated Node #2: [45, 55, 44] from Operation: 86-42=44 Current State: 36:[45, 55, 44], Operations: ['86-42=44'] Exploring Operation: 45*44=1980, Resulting Numbers: [55, 1980] Generated Node #3: [55, 1980] from Operation: 45*44=1980 Current State: 36:[55, 1980], Operations: ['86-42=44', '45*44=1980'] Exploring Operation: 1980/55=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 70, 27, 28, 13 ]
33
[ "27-13=14", "70/14=5", "28+5=33" ]
Current State: 33:[70, 27, 28, 13], Operations: [] Exploring Operation: 27-13=14, Resulting Numbers: [70, 28, 14] Generated Node #2: [70, 28, 14] from Operation: 27-13=14 Current State: 33:[70, 28, 14], Operations: ['27-13=14'] Exploring Operation: 70/14=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 70/14=5 Current State: 33:[28, 5], Operations: ['27-13=14', '70/14=5'] Exploring Operation: 28+5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 85, 87, 29, 50 ]
38
[ "85-50=35", "87/29=3", "35+3=38" ]
Current State: 38:[85, 87, 29, 50], Operations: [] Exploring Operation: 85-50=35, Resulting Numbers: [87, 29, 35] Generated Node #2: [87, 29, 35] from Operation: 85-50=35 Current State: 38:[87, 29, 35], Operations: ['85-50=35'] Exploring Operation: 87/29=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 87/29=3 Current State: 38:[35, 3], Operations: ['85-50=35', '87/29=3'] Exploring Operation: 35+3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 20, 9, 20, 88 ]
96
[ "20/20=1", "9+88=97", "97-1=96" ]
Current State: 96:[20, 9, 20, 88], Operations: [] Exploring Operation: 20/20=1, Resulting Numbers: [9, 88, 1] Generated Node #2: [9, 88, 1] from Operation: 20/20=1 Current State: 96:[9, 88, 1], Operations: ['20/20=1'] Exploring Operation: 9+88=97, Resulting Numbers: [1, 97] Generated Node #3: [1, 97] from Operation: 9+88=97 Current State: 96:[1, 97], Operations: ['20/20=1', '9+88=97'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 3, 68, 93, 78 ]
23
[ "93-78=15", "3*15=45", "68-45=23" ]
Current State: 23:[3, 68, 93, 78], Operations: [] Exploring Operation: 93-78=15, Resulting Numbers: [3, 68, 15] Generated Node #2: [3, 68, 15] from Operation: 93-78=15 Current State: 23:[3, 68, 15], Operations: ['93-78=15'] Exploring Operation: 3*15=45, Resulting Numbers: [68, 45] Generated Node #3: [68, 45] from Operation: 3*15=45 Current State: 23:[68, 45], Operations: ['93-78=15', '3*15=45'] Exploring Operation: 68-45=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 72, 62, 45, 42 ]
86
[ "45-42=3", "72/3=24", "62+24=86" ]
Current State: 86:[72, 62, 45, 42], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [72, 62, 3] Generated Node #2: [72, 62, 3] from Operation: 45-42=3 Current State: 86:[72, 62, 3], Operations: ['45-42=3'] Exploring Operation: 72/3=24, Resulting Numbers: [62, 24] Generated Node #3: [62, 24] from Operation: 72/3=24 Current State: 86:[62, 24], Operations: ['45-42=3', '72/3=24'] Exploring Operation: 62+24=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 22, 81, 15, 61 ]
27
[ "22+81=103", "15+61=76", "103-76=27" ]
Current State: 27:[22, 81, 15, 61], Operations: [] Exploring Operation: 22+81=103, Resulting Numbers: [15, 61, 103] Generated Node #2: [15, 61, 103] from Operation: 22+81=103 Current State: 27:[15, 61, 103], Operations: ['22+81=103'] Exploring Operation: 15+61=76, Resulting Numbers: [103, 76] Generated Node #3: [103, 76] from Operation: 15+61=76 Current State: 27:[103, 76], Operations: ['22+81=103', '15+61=76'] Exploring Operation: 103-76=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 34, 38, 2, 14 ]
78
[ "34-14=20", "2*20=40", "38+40=78" ]
Current State: 78:[34, 38, 2, 14], Operations: [] Exploring Operation: 34-14=20, Resulting Numbers: [38, 2, 20] Generated Node #2: [38, 2, 20] from Operation: 34-14=20 Current State: 78:[38, 2, 20], Operations: ['34-14=20'] Exploring Operation: 2*20=40, Resulting Numbers: [38, 40] Generated Node #3: [38, 40] from Operation: 2*20=40 Current State: 78:[38, 40], Operations: ['34-14=20', '2*20=40'] Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 28, 6, 26, 33 ]
95
[ "28+33=61", "6*26=156", "156-61=95" ]
Current State: 95:[28, 6, 26, 33], Operations: [] Exploring Operation: 28+33=61, Resulting Numbers: [6, 26, 61] Generated Node #2: [6, 26, 61] from Operation: 28+33=61 Current State: 95:[6, 26, 61], Operations: ['28+33=61'] Exploring Operation: 6*26=156, Resulting Numbers: [61, 156] Generated Node #3: [61, 156] from Operation: 6*26=156 Current State: 95:[61, 156], Operations: ['28+33=61', '6*26=156'] Exploring Operation: 156-61=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 96, 76, 52, 58 ]
90
[ "96-76=20", "52+58=110", "110-20=90" ]
Current State: 90:[96, 76, 52, 58], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [52, 58, 20] Generated Node #2: [52, 58, 20] from Operation: 96-76=20 Current State: 90:[52, 58, 20], Operations: ['96-76=20'] Exploring Operation: 52+58=110, Resulting Numbers: [20, 110] Generated Node #3: [20, 110] from Operation: 52+58=110 Current State: 90:[20, 110], Operations: ['96-76=20', '52+58=110'] Exploring Operation: 110-20=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 16, 73, 12, 19 ]
37
[ "19-16=3", "12*3=36", "73-36=37" ]
Current State: 37:[16, 73, 12, 19], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [73, 12, 3] Generated Node #2: [73, 12, 3] from Operation: 19-16=3 Current State: 37:[73, 12, 3], Operations: ['19-16=3'] Exploring Operation: 12*3=36, Resulting Numbers: [73, 36] Generated Node #3: [73, 36] from Operation: 12*3=36 Current State: 37:[73, 36], Operations: ['19-16=3', '12*3=36'] Exploring Operation: 73-36=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 92, 90, 65, 42 ]
25
[ "92-90=2", "65-42=23", "2+23=25" ]
Current State: 25:[92, 90, 65, 42], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [65, 42, 2] Generated Node #2: [65, 42, 2] from Operation: 92-90=2 Current State: 25:[65, 42, 2], Operations: ['92-90=2'] Exploring Operation: 65-42=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 65-42=23 Current State: 25:[2, 23], Operations: ['92-90=2', '65-42=23'] Exploring Operation: 2+23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 38, 3, 73, 85 ]
40
[ "73-38=35", "85+35=120", "120/3=40" ]
Current State: 40:[38, 3, 73, 85], Operations: [] Exploring Operation: 73-38=35, Resulting Numbers: [3, 85, 35] Generated Node #2: [3, 85, 35] from Operation: 73-38=35 Current State: 40:[3, 85, 35], Operations: ['73-38=35'] Exploring Operation: 85+35=120, Resulting Numbers: [3, 120] Generated Node #3: [3, 120] from Operation: 85+35=120 Current State: 40:[3, 120], Operations: ['73-38=35', '85+35=120'] Exploring Operation: 120/3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 90, 52, 34, 46 ]
73
[ "52*46=2392", "90+2392=2482", "2482/34=73" ]
Current State: 73:[90, 52, 34, 46], Operations: [] Exploring Operation: 52*46=2392, Resulting Numbers: [90, 34, 2392] Generated Node #2: [90, 34, 2392] from Operation: 52*46=2392 Current State: 73:[90, 34, 2392], Operations: ['52*46=2392'] Exploring Operation: 90+2392=2482, Resulting Numbers: [34, 2482] Generated Node #3: [34, 2482] from Operation: 90+2392=2482 Current State: 73:[34, 2482], Operations: ['52*46=2392', '90+2392=2482'] Exploring Operation: 2482/34=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 58, 68, 8, 34 ]
20
[ "58+68=126", "34+126=160", "160/8=20" ]
Current State: 20:[58, 68, 8, 34], Operations: [] Exploring Operation: 58+68=126, Resulting Numbers: [8, 34, 126] Generated Node #2: [8, 34, 126] from Operation: 58+68=126 Current State: 20:[8, 34, 126], Operations: ['58+68=126'] Exploring Operation: 34+126=160, Resulting Numbers: [8, 160] Generated Node #3: [8, 160] from Operation: 34+126=160 Current State: 20:[8, 160], Operations: ['58+68=126', '34+126=160'] Exploring Operation: 160/8=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 98, 34, 9, 74 ]
86
[ "34+74=108", "108/9=12", "98-12=86" ]
Current State: 86:[98, 34, 9, 74], Operations: [] Exploring Operation: 34+74=108, Resulting Numbers: [98, 9, 108] Generated Node #2: [98, 9, 108] from Operation: 34+74=108 Current State: 86:[98, 9, 108], Operations: ['34+74=108'] Exploring Operation: 108/9=12, Resulting Numbers: [98, 12] Generated Node #3: [98, 12] from Operation: 108/9=12 Current State: 86:[98, 12], Operations: ['34+74=108', '108/9=12'] Exploring Operation: 98-12=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 16, 19, 85, 38 ]
44
[ "19-16=3", "85-38=47", "47-3=44" ]
Current State: 44:[16, 19, 85, 38], Operations: [] Exploring Operation: 19-16=3, Resulting Numbers: [85, 38, 3] Generated Node #2: [85, 38, 3] from Operation: 19-16=3 Current State: 44:[85, 38, 3], Operations: ['19-16=3'] Exploring Operation: 85-38=47, Resulting Numbers: [3, 47] Generated Node #3: [3, 47] from Operation: 85-38=47 Current State: 44:[3, 47], Operations: ['19-16=3', '85-38=47'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 71, 2, 91, 94 ]
84
[ "91-71=20", "20/2=10", "94-10=84" ]
Current State: 84:[71, 2, 91, 94], Operations: [] Exploring Operation: 91-71=20, Resulting Numbers: [2, 94, 20] Generated Node #2: [2, 94, 20] from Operation: 91-71=20 Current State: 84:[2, 94, 20], Operations: ['91-71=20'] Exploring Operation: 20/2=10, Resulting Numbers: [94, 10] Generated Node #3: [94, 10] from Operation: 20/2=10 Current State: 84:[94, 10], Operations: ['91-71=20', '20/2=10'] Exploring Operation: 94-10=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 46, 1, 44, 73 ]
16
[ "46-1=45", "73-44=29", "45-29=16" ]
Current State: 16:[46, 1, 44, 73], Operations: [] Exploring Operation: 46-1=45, Resulting Numbers: [44, 73, 45] Generated Node #2: [44, 73, 45] from Operation: 46-1=45 Current State: 16:[44, 73, 45], Operations: ['46-1=45'] Exploring Operation: 73-44=29, Resulting Numbers: [45, 29] Generated Node #3: [45, 29] from Operation: 73-44=29 Current State: 16:[45, 29], Operations: ['46-1=45', '73-44=29'] Exploring Operation: 45-29=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 28, 49, 98, 25 ]
84
[ "49-25=24", "98*24=2352", "2352/28=84" ]
Current State: 84:[28, 49, 98, 25], Operations: [] Exploring Operation: 49-25=24, Resulting Numbers: [28, 98, 24] Generated Node #2: [28, 98, 24] from Operation: 49-25=24 Current State: 84:[28, 98, 24], Operations: ['49-25=24'] Exploring Operation: 98*24=2352, Resulting Numbers: [28, 2352] Generated Node #3: [28, 2352] from Operation: 98*24=2352 Current State: 84:[28, 2352], Operations: ['49-25=24', '98*24=2352'] Exploring Operation: 2352/28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 43, 65, 30, 43 ]
35
[ "43+65=108", "30+43=73", "108-73=35" ]
Current State: 35:[43, 65, 30, 43], Operations: [] Exploring Operation: 43+65=108, Resulting Numbers: [30, 108] Generated Node #2: [30, 108] from Operation: 43+65=108 Current State: 35:[30, 108], Operations: ['43+65=108'] Exploring Operation: 30+43=73, Resulting Numbers: [108, 73] Generated Node #3: [108, 73] from Operation: 30+43=73 Current State: 35:[108, 73], Operations: ['43+65=108', '30+43=73'] Exploring Operation: 108-73=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 38, 6, 56, 92 ]
80
[ "38+6=44", "92-56=36", "44+36=80" ]
Current State: 80:[38, 6, 56, 92], Operations: [] Exploring Operation: 38+6=44, Resulting Numbers: [56, 92, 44] Generated Node #2: [56, 92, 44] from Operation: 38+6=44 Current State: 80:[56, 92, 44], Operations: ['38+6=44'] Exploring Operation: 92-56=36, Resulting Numbers: [44, 36] Generated Node #3: [44, 36] from Operation: 92-56=36 Current State: 80:[44, 36], Operations: ['38+6=44', '92-56=36'] Exploring Operation: 44+36=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 8, 29, 49, 9 ]
88
[ "49-29=20", "20-9=11", "8*11=88" ]
Current State: 88:[8, 29, 49, 9], Operations: [] Exploring Operation: 49-29=20, Resulting Numbers: [8, 9, 20] Generated Node #2: [8, 9, 20] from Operation: 49-29=20 Current State: 88:[8, 9, 20], Operations: ['49-29=20'] Exploring Operation: 20-9=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 20-9=11 Current State: 88:[8, 11], Operations: ['49-29=20', '20-9=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 42, 51, 43, 57 ]
23
[ "51-42=9", "57-43=14", "9+14=23" ]
Current State: 23:[42, 51, 43, 57], Operations: [] Exploring Operation: 51-42=9, Resulting Numbers: [43, 57, 9] Generated Node #2: [43, 57, 9] from Operation: 51-42=9 Current State: 23:[43, 57, 9], Operations: ['51-42=9'] Exploring Operation: 57-43=14, Resulting Numbers: [9, 14] Generated Node #3: [9, 14] from Operation: 57-43=14 Current State: 23:[9, 14], Operations: ['51-42=9', '57-43=14'] Exploring Operation: 9+14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 94, 34, 96, 4 ]
36
[ "94+34=128", "96-4=92", "128-92=36" ]
Current State: 36:[94, 34, 96, 4], Operations: [] Exploring Operation: 94+34=128, Resulting Numbers: [96, 4, 128] Generated Node #2: [96, 4, 128] from Operation: 94+34=128 Current State: 36:[96, 4, 128], Operations: ['94+34=128'] Exploring Operation: 96-4=92, Resulting Numbers: [128, 92] Generated Node #3: [128, 92] from Operation: 96-4=92 Current State: 36:[128, 92], Operations: ['94+34=128', '96-4=92'] Exploring Operation: 128-92=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 55, 82, 71, 12 ]
14
[ "71*12=852", "852-82=770", "770/55=14" ]
Current State: 14:[55, 82, 71, 12], Operations: [] Exploring Operation: 71*12=852, Resulting Numbers: [55, 82, 852] Generated Node #2: [55, 82, 852] from Operation: 71*12=852 Current State: 14:[55, 82, 852], Operations: ['71*12=852'] Exploring Operation: 852-82=770, Resulting Numbers: [55, 770] Generated Node #3: [55, 770] from Operation: 852-82=770 Current State: 14:[55, 770], Operations: ['71*12=852', '852-82=770'] Exploring Operation: 770/55=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 51, 4, 22, 14 ]
17
[ "51+22=73", "4*14=56", "73-56=17" ]
Current State: 17:[51, 4, 22, 14], Operations: [] Exploring Operation: 51+22=73, Resulting Numbers: [4, 14, 73] Generated Node #2: [4, 14, 73] from Operation: 51+22=73 Current State: 17:[4, 14, 73], Operations: ['51+22=73'] Exploring Operation: 4*14=56, Resulting Numbers: [73, 56] Generated Node #3: [73, 56] from Operation: 4*14=56 Current State: 17:[73, 56], Operations: ['51+22=73', '4*14=56'] Exploring Operation: 73-56=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 88, 96, 49, 53 ]
74
[ "53-49=4", "88/4=22", "96-22=74" ]
Current State: 74:[88, 96, 49, 53], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [88, 96, 4] Generated Node #2: [88, 96, 4] from Operation: 53-49=4 Current State: 74:[88, 96, 4], Operations: ['53-49=4'] Exploring Operation: 88/4=22, Resulting Numbers: [96, 22] Generated Node #3: [96, 22] from Operation: 88/4=22 Current State: 74:[96, 22], Operations: ['53-49=4', '88/4=22'] Exploring Operation: 96-22=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 92, 93, 90, 49 ]
47
[ "92+49=141", "93-90=3", "141/3=47" ]
Current State: 47:[92, 93, 90, 49], Operations: [] Exploring Operation: 92+49=141, Resulting Numbers: [93, 90, 141] Generated Node #2: [93, 90, 141] from Operation: 92+49=141 Current State: 47:[93, 90, 141], Operations: ['92+49=141'] Exploring Operation: 93-90=3, Resulting Numbers: [141, 3] Generated Node #3: [141, 3] from Operation: 93-90=3 Current State: 47:[141, 3], Operations: ['92+49=141', '93-90=3'] Exploring Operation: 141/3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 6, 58, 79, 36 ]
95
[ "58-6=52", "79-36=43", "52+43=95" ]
Current State: 95:[6, 58, 79, 36], Operations: [] Exploring Operation: 58-6=52, Resulting Numbers: [79, 36, 52] Generated Node #2: [79, 36, 52] from Operation: 58-6=52 Current State: 95:[79, 36, 52], Operations: ['58-6=52'] Exploring Operation: 79-36=43, Resulting Numbers: [52, 43] Generated Node #3: [52, 43] from Operation: 79-36=43 Current State: 95:[52, 43], Operations: ['58-6=52', '79-36=43'] Exploring Operation: 52+43=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 64, 21, 17, 63 ]
39
[ "64+21=85", "63-17=46", "85-46=39" ]
Current State: 39:[64, 21, 17, 63], Operations: [] Exploring Operation: 64+21=85, Resulting Numbers: [17, 63, 85] Generated Node #2: [17, 63, 85] from Operation: 64+21=85 Current State: 39:[17, 63, 85], Operations: ['64+21=85'] Exploring Operation: 63-17=46, Resulting Numbers: [85, 46] Generated Node #3: [85, 46] from Operation: 63-17=46 Current State: 39:[85, 46], Operations: ['64+21=85', '63-17=46'] Exploring Operation: 85-46=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 6, 17, 7, 23 ]
84
[ "17-6=11", "23-11=12", "7*12=84" ]
Current State: 84:[6, 17, 7, 23], Operations: [] Exploring Operation: 17-6=11, Resulting Numbers: [7, 23, 11] Generated Node #2: [7, 23, 11] from Operation: 17-6=11 Current State: 84:[7, 23, 11], Operations: ['17-6=11'] Exploring Operation: 23-11=12, Resulting Numbers: [7, 12] Generated Node #3: [7, 12] from Operation: 23-11=12 Current State: 84:[7, 12], Operations: ['17-6=11', '23-11=12'] Exploring Operation: 7*12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 6, 21, 5, 91 ]
100
[ "6*5=30", "91-21=70", "30+70=100" ]
Current State: 100:[6, 21, 5, 91], Operations: [] Exploring Operation: 6*5=30, Resulting Numbers: [21, 91, 30] Generated Node #2: [21, 91, 30] from Operation: 6*5=30 Current State: 100:[21, 91, 30], Operations: ['6*5=30'] Exploring Operation: 91-21=70, Resulting Numbers: [30, 70] Generated Node #3: [30, 70] from Operation: 91-21=70 Current State: 100:[30, 70], Operations: ['6*5=30', '91-21=70'] Exploring Operation: 30+70=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 22, 77, 32, 40 ]
17
[ "77-22=55", "32+40=72", "72-55=17" ]
Current State: 17:[22, 77, 32, 40], Operations: [] Exploring Operation: 77-22=55, Resulting Numbers: [32, 40, 55] Generated Node #2: [32, 40, 55] from Operation: 77-22=55 Current State: 17:[32, 40, 55], Operations: ['77-22=55'] Exploring Operation: 32+40=72, Resulting Numbers: [55, 72] Generated Node #3: [55, 72] from Operation: 32+40=72 Current State: 17:[55, 72], Operations: ['77-22=55', '32+40=72'] Exploring Operation: 72-55=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 14, 53, 19, 91 ]
16
[ "91-53=38", "38/19=2", "14+2=16" ]
Current State: 16:[14, 53, 19, 91], Operations: [] Exploring Operation: 91-53=38, Resulting Numbers: [14, 19, 38] Generated Node #2: [14, 19, 38] from Operation: 91-53=38 Current State: 16:[14, 19, 38], Operations: ['91-53=38'] Exploring Operation: 38/19=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 38/19=2 Current State: 16:[14, 2], Operations: ['91-53=38', '38/19=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 48, 75, 17, 43 ]
60
[ "48*75=3600", "17+43=60", "3600/60=60" ]
Current State: 60:[48, 75, 17, 43], Operations: [] Exploring Operation: 48*75=3600, Resulting Numbers: [17, 43, 3600] Generated Node #2: [17, 43, 3600] from Operation: 48*75=3600 Current State: 60:[17, 43, 3600], Operations: ['48*75=3600'] Exploring Operation: 17+43=60, Resulting Numbers: [3600, 60] Generated Node #3: [3600, 60] from Operation: 17+43=60 Current State: 60:[3600, 60], Operations: ['48*75=3600', '17+43=60'] Exploring Operation: 3600/60=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 8, 18, 27, 30 ]
24
[ "18-8=10", "30/10=3", "27-3=24" ]
Current State: 24:[8, 18, 27, 30], Operations: [] Exploring Operation: 18-8=10, Resulting Numbers: [27, 30, 10] Generated Node #2: [27, 30, 10] from Operation: 18-8=10 Current State: 24:[27, 30, 10], Operations: ['18-8=10'] Exploring Operation: 30/10=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 30/10=3 Current State: 24:[27, 3], Operations: ['18-8=10', '30/10=3'] Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 89, 4, 93, 55 ]
38
[ "89+93=182", "4*55=220", "220-182=38" ]
Current State: 38:[89, 4, 93, 55], Operations: [] Exploring Operation: 89+93=182, Resulting Numbers: [4, 55, 182] Generated Node #2: [4, 55, 182] from Operation: 89+93=182 Current State: 38:[4, 55, 182], Operations: ['89+93=182'] Exploring Operation: 4*55=220, Resulting Numbers: [182, 220] Generated Node #3: [182, 220] from Operation: 4*55=220 Current State: 38:[182, 220], Operations: ['89+93=182', '4*55=220'] Exploring Operation: 220-182=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 27, 85, 84, 73 ]
20
[ "85-73=12", "84/12=7", "27-7=20" ]
Current State: 20:[27, 85, 84, 73], Operations: [] Exploring Operation: 85-73=12, Resulting Numbers: [27, 84, 12] Generated Node #2: [27, 84, 12] from Operation: 85-73=12 Current State: 20:[27, 84, 12], Operations: ['85-73=12'] Exploring Operation: 84/12=7, Resulting Numbers: [27, 7] Generated Node #3: [27, 7] from Operation: 84/12=7 Current State: 20:[27, 7], Operations: ['85-73=12', '84/12=7'] Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 77, 27, 83, 90 ]
42
[ "83-77=6", "90/6=15", "27+15=42" ]
Current State: 42:[77, 27, 83, 90], Operations: [] Exploring Operation: 83-77=6, Resulting Numbers: [27, 90, 6] Generated Node #2: [27, 90, 6] from Operation: 83-77=6 Current State: 42:[27, 90, 6], Operations: ['83-77=6'] Exploring Operation: 90/6=15, Resulting Numbers: [27, 15] Generated Node #3: [27, 15] from Operation: 90/6=15 Current State: 42:[27, 15], Operations: ['83-77=6', '90/6=15'] Exploring Operation: 27+15=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 8, 69, 16 ]
29
[ "3*8=24", "69-16=53", "53-24=29" ]
Current State: 29:[3, 8, 69, 16], Operations: [] Exploring Operation: 3*8=24, Resulting Numbers: [69, 16, 24] Generated Node #2: [69, 16, 24] from Operation: 3*8=24 Current State: 29:[69, 16, 24], Operations: ['3*8=24'] Exploring Operation: 69-16=53, Resulting Numbers: [24, 53] Generated Node #3: [24, 53] from Operation: 69-16=53 Current State: 29:[24, 53], Operations: ['3*8=24', '69-16=53'] Exploring Operation: 53-24=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 46, 34, 32, 16 ]
32
[ "46+34=80", "32+16=48", "80-48=32" ]
Current State: 32:[46, 34, 32, 16], Operations: [] Exploring Operation: 46+34=80, Resulting Numbers: [32, 16, 80] Generated Node #2: [32, 16, 80] from Operation: 46+34=80 Current State: 32:[32, 16, 80], Operations: ['46+34=80'] Exploring Operation: 32+16=48, Resulting Numbers: [80, 48] Generated Node #3: [80, 48] from Operation: 32+16=48 Current State: 32:[80, 48], Operations: ['46+34=80', '32+16=48'] Exploring Operation: 80-48=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 89, 90, 81, 83 ]
66
[ "89-83=6", "90/6=15", "81-15=66" ]
Current State: 66:[89, 90, 81, 83], Operations: [] Exploring Operation: 89-83=6, Resulting Numbers: [90, 81, 6] Generated Node #2: [90, 81, 6] from Operation: 89-83=6 Current State: 66:[90, 81, 6], Operations: ['89-83=6'] Exploring Operation: 90/6=15, Resulting Numbers: [81, 15] Generated Node #3: [81, 15] from Operation: 90/6=15 Current State: 66:[81, 15], Operations: ['89-83=6', '90/6=15'] Exploring Operation: 81-15=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 64, 42, 5, 49 ]
14
[ "64-49=15", "42*5=210", "210/15=14" ]
Current State: 14:[64, 42, 5, 49], Operations: [] Exploring Operation: 64-49=15, Resulting Numbers: [42, 5, 15] Generated Node #2: [42, 5, 15] from Operation: 64-49=15 Current State: 14:[42, 5, 15], Operations: ['64-49=15'] Exploring Operation: 42*5=210, Resulting Numbers: [15, 210] Generated Node #3: [15, 210] from Operation: 42*5=210 Current State: 14:[15, 210], Operations: ['64-49=15', '42*5=210'] Exploring Operation: 210/15=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 61, 4, 24, 72 ]
49
[ "24/4=6", "72/6=12", "61-12=49" ]
Current State: 49:[61, 4, 24, 72], Operations: [] Exploring Operation: 24/4=6, Resulting Numbers: [61, 72, 6] Generated Node #2: [61, 72, 6] from Operation: 24/4=6 Current State: 49:[61, 72, 6], Operations: ['24/4=6'] Exploring Operation: 72/6=12, Resulting Numbers: [61, 12] Generated Node #3: [61, 12] from Operation: 72/6=12 Current State: 49:[61, 12], Operations: ['24/4=6', '72/6=12'] Exploring Operation: 61-12=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 57, 3, 80, 22 ]
83
[ "57/3=19", "80+22=102", "102-19=83" ]
Current State: 83:[57, 3, 80, 22], Operations: [] Exploring Operation: 57/3=19, Resulting Numbers: [80, 22, 19] Generated Node #2: [80, 22, 19] from Operation: 57/3=19 Current State: 83:[80, 22, 19], Operations: ['57/3=19'] Exploring Operation: 80+22=102, Resulting Numbers: [19, 102] Generated Node #3: [19, 102] from Operation: 80+22=102 Current State: 83:[19, 102], Operations: ['57/3=19', '80+22=102'] Exploring Operation: 102-19=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 3, 86, 61, 49 ]
95
[ "86-3=83", "61-49=12", "83+12=95" ]
Current State: 95:[3, 86, 61, 49], Operations: [] Exploring Operation: 86-3=83, Resulting Numbers: [61, 49, 83] Generated Node #2: [61, 49, 83] from Operation: 86-3=83 Current State: 95:[61, 49, 83], Operations: ['86-3=83'] Exploring Operation: 61-49=12, Resulting Numbers: [83, 12] Generated Node #3: [83, 12] from Operation: 61-49=12 Current State: 95:[83, 12], Operations: ['86-3=83', '61-49=12'] Exploring Operation: 83+12=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 26, 75, 37, 25 ]
33
[ "37-26=11", "75/25=3", "11*3=33" ]
Current State: 33:[26, 75, 37, 25], Operations: [] Exploring Operation: 37-26=11, Resulting Numbers: [75, 25, 11] Generated Node #2: [75, 25, 11] from Operation: 37-26=11 Current State: 33:[75, 25, 11], Operations: ['37-26=11'] Exploring Operation: 75/25=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 75/25=3 Current State: 33:[11, 3], Operations: ['37-26=11', '75/25=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 8, 41, 82 ]
15
[ "41-3=38", "82+38=120", "120/8=15" ]
Current State: 15:[3, 8, 41, 82], Operations: [] Exploring Operation: 41-3=38, Resulting Numbers: [8, 82, 38] Generated Node #2: [8, 82, 38] from Operation: 41-3=38 Current State: 15:[8, 82, 38], Operations: ['41-3=38'] Exploring Operation: 82+38=120, Resulting Numbers: [8, 120] Generated Node #3: [8, 120] from Operation: 82+38=120 Current State: 15:[8, 120], Operations: ['41-3=38', '82+38=120'] Exploring Operation: 120/8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 44, 32, 4, 59 ]
13
[ "44+32=76", "4+59=63", "76-63=13" ]
Current State: 13:[44, 32, 4, 59], Operations: [] Exploring Operation: 44+32=76, Resulting Numbers: [4, 59, 76] Generated Node #2: [4, 59, 76] from Operation: 44+32=76 Current State: 13:[4, 59, 76], Operations: ['44+32=76'] Exploring Operation: 4+59=63, Resulting Numbers: [76, 63] Generated Node #3: [76, 63] from Operation: 4+59=63 Current State: 13:[76, 63], Operations: ['44+32=76', '4+59=63'] Exploring Operation: 76-63=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 16, 37, 24, 42 ]
100
[ "24*42=1008", "1008/16=63", "37+63=100" ]
Current State: 100:[16, 37, 24, 42], Operations: [] Exploring Operation: 24*42=1008, Resulting Numbers: [16, 37, 1008] Generated Node #2: [16, 37, 1008] from Operation: 24*42=1008 Current State: 100:[16, 37, 1008], Operations: ['24*42=1008'] Exploring Operation: 1008/16=63, Resulting Numbers: [37, 63] Generated Node #3: [37, 63] from Operation: 1008/16=63 Current State: 100:[37, 63], Operations: ['24*42=1008', '1008/16=63'] Exploring Operation: 37+63=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 51, 21, 67, 64 ]
24
[ "51+21=72", "67-64=3", "72/3=24" ]
Current State: 24:[51, 21, 67, 64], Operations: [] Exploring Operation: 51+21=72, Resulting Numbers: [67, 64, 72] Generated Node #2: [67, 64, 72] from Operation: 51+21=72 Current State: 24:[67, 64, 72], Operations: ['51+21=72'] Exploring Operation: 67-64=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 67-64=3 Current State: 24:[72, 3], Operations: ['51+21=72', '67-64=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 34, 98, 1, 17 ]
81
[ "98-34=64", "1*17=17", "64+17=81" ]
Current State: 81:[34, 98, 1, 17], Operations: [] Exploring Operation: 98-34=64, Resulting Numbers: [1, 17, 64] Generated Node #2: [1, 17, 64] from Operation: 98-34=64 Current State: 81:[1, 17, 64], Operations: ['98-34=64'] Exploring Operation: 1*17=17, Resulting Numbers: [64, 17] Generated Node #3: [64, 17] from Operation: 1*17=17 Current State: 81:[64, 17], Operations: ['98-34=64', '1*17=17'] Exploring Operation: 64+17=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 33, 53, 92, 19 ]
92
[ "53-33=20", "20-19=1", "92*1=92" ]
Current State: 92:[33, 53, 92, 19], Operations: [] Exploring Operation: 53-33=20, Resulting Numbers: [92, 19, 20] Generated Node #2: [92, 19, 20] from Operation: 53-33=20 Current State: 92:[92, 19, 20], Operations: ['53-33=20'] Exploring Operation: 20-19=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 20-19=1 Current State: 92:[92, 1], Operations: ['53-33=20', '20-19=1'] Exploring Operation: 92*1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 83, 59, 5, 79 ]
16
[ "83-79=4", "59+5=64", "64/4=16" ]
Current State: 16:[83, 59, 5, 79], Operations: [] Exploring Operation: 83-79=4, Resulting Numbers: [59, 5, 4] Generated Node #2: [59, 5, 4] from Operation: 83-79=4 Current State: 16:[59, 5, 4], Operations: ['83-79=4'] Exploring Operation: 59+5=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 59+5=64 Current State: 16:[4, 64], Operations: ['83-79=4', '59+5=64'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 51, 68, 34, 71 ]
75
[ "51-34=17", "68/17=4", "71+4=75" ]
Current State: 75:[51, 68, 34, 71], Operations: [] Exploring Operation: 51-34=17, Resulting Numbers: [68, 71, 17] Generated Node #2: [68, 71, 17] from Operation: 51-34=17 Current State: 75:[68, 71, 17], Operations: ['51-34=17'] Exploring Operation: 68/17=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 68/17=4 Current State: 75:[71, 4], Operations: ['51-34=17', '68/17=4'] Exploring Operation: 71+4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 87, 33, 35, 28 ]
80
[ "33-28=5", "35/5=7", "87-7=80" ]
Current State: 80:[87, 33, 35, 28], Operations: [] Exploring Operation: 33-28=5, Resulting Numbers: [87, 35, 5] Generated Node #2: [87, 35, 5] from Operation: 33-28=5 Current State: 80:[87, 35, 5], Operations: ['33-28=5'] Exploring Operation: 35/5=7, Resulting Numbers: [87, 7] Generated Node #3: [87, 7] from Operation: 35/5=7 Current State: 80:[87, 7], Operations: ['33-28=5', '35/5=7'] Exploring Operation: 87-7=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 90, 23, 55, 9 ]
92
[ "55-9=46", "46/23=2", "90+2=92" ]
Current State: 92:[90, 23, 55, 9], Operations: [] Exploring Operation: 55-9=46, Resulting Numbers: [90, 23, 46] Generated Node #2: [90, 23, 46] from Operation: 55-9=46 Current State: 92:[90, 23, 46], Operations: ['55-9=46'] Exploring Operation: 46/23=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 46/23=2 Current State: 92:[90, 2], Operations: ['55-9=46', '46/23=2'] Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 75, 16, 36, 45 ]
55
[ "16*45=720", "720/36=20", "75-20=55" ]
Current State: 55:[75, 16, 36, 45], Operations: [] Exploring Operation: 16*45=720, Resulting Numbers: [75, 36, 720] Generated Node #2: [75, 36, 720] from Operation: 16*45=720 Current State: 55:[75, 36, 720], Operations: ['16*45=720'] Exploring Operation: 720/36=20, Resulting Numbers: [75, 20] Generated Node #3: [75, 20] from Operation: 720/36=20 Current State: 55:[75, 20], Operations: ['16*45=720', '720/36=20'] Exploring Operation: 75-20=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 39, 52, 41, 2 ]
66
[ "39+52=91", "41+91=132", "132/2=66" ]
Current State: 66:[39, 52, 41, 2], Operations: [] Exploring Operation: 39+52=91, Resulting Numbers: [41, 2, 91] Generated Node #2: [41, 2, 91] from Operation: 39+52=91 Current State: 66:[41, 2, 91], Operations: ['39+52=91'] Exploring Operation: 41+91=132, Resulting Numbers: [2, 132] Generated Node #3: [2, 132] from Operation: 41+91=132 Current State: 66:[2, 132], Operations: ['39+52=91', '41+91=132'] Exploring Operation: 132/2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 9, 52, 53, 25 ]
89
[ "9+52=61", "53-25=28", "61+28=89" ]
Current State: 89:[9, 52, 53, 25], Operations: [] Exploring Operation: 9+52=61, Resulting Numbers: [53, 25, 61] Generated Node #2: [53, 25, 61] from Operation: 9+52=61 Current State: 89:[53, 25, 61], Operations: ['9+52=61'] Exploring Operation: 53-25=28, Resulting Numbers: [61, 28] Generated Node #3: [61, 28] from Operation: 53-25=28 Current State: 89:[61, 28], Operations: ['9+52=61', '53-25=28'] Exploring Operation: 61+28=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 2, 51, 23, 86 ]
30
[ "51-23=28", "2*28=56", "86-56=30" ]
Current State: 30:[2, 51, 23, 86], Operations: [] Exploring Operation: 51-23=28, Resulting Numbers: [2, 86, 28] Generated Node #2: [2, 86, 28] from Operation: 51-23=28 Current State: 30:[2, 86, 28], Operations: ['51-23=28'] Exploring Operation: 2*28=56, Resulting Numbers: [86, 56] Generated Node #3: [86, 56] from Operation: 2*28=56 Current State: 30:[86, 56], Operations: ['51-23=28', '2*28=56'] Exploring Operation: 86-56=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 5, 47, 3, 75 ]
81
[ "5+47=52", "3*52=156", "156-75=81" ]
Current State: 81:[5, 47, 3, 75], Operations: [] Exploring Operation: 5+47=52, Resulting Numbers: [3, 75, 52] Generated Node #2: [3, 75, 52] from Operation: 5+47=52 Current State: 81:[3, 75, 52], Operations: ['5+47=52'] Exploring Operation: 3*52=156, Resulting Numbers: [75, 156] Generated Node #3: [75, 156] from Operation: 3*52=156 Current State: 81:[75, 156], Operations: ['5+47=52', '3*52=156'] Exploring Operation: 156-75=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 84, 17, 21, 45 ]
77
[ "84+17=101", "45-21=24", "101-24=77" ]
Current State: 77:[84, 17, 21, 45], Operations: [] Exploring Operation: 84+17=101, Resulting Numbers: [21, 45, 101] Generated Node #2: [21, 45, 101] from Operation: 84+17=101 Current State: 77:[21, 45, 101], Operations: ['84+17=101'] Exploring Operation: 45-21=24, Resulting Numbers: [101, 24] Generated Node #3: [101, 24] from Operation: 45-21=24 Current State: 77:[101, 24], Operations: ['84+17=101', '45-21=24'] Exploring Operation: 101-24=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 41, 29, 14, 11 ]
24
[ "41+14=55", "55/11=5", "29-5=24" ]
Current State: 24:[41, 29, 14, 11], Operations: [] Exploring Operation: 41+14=55, Resulting Numbers: [29, 11, 55] Generated Node #2: [29, 11, 55] from Operation: 41+14=55 Current State: 24:[29, 11, 55], Operations: ['41+14=55'] Exploring Operation: 55/11=5, Resulting Numbers: [29, 5] Generated Node #3: [29, 5] from Operation: 55/11=5 Current State: 24:[29, 5], Operations: ['41+14=55', '55/11=5'] Exploring Operation: 29-5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 4, 36, 78, 2 ]
53
[ "36+78=114", "114/2=57", "57-4=53" ]
Current State: 53:[4, 36, 78, 2], Operations: [] Exploring Operation: 36+78=114, Resulting Numbers: [4, 2, 114] Generated Node #2: [4, 2, 114] from Operation: 36+78=114 Current State: 53:[4, 2, 114], Operations: ['36+78=114'] Exploring Operation: 114/2=57, Resulting Numbers: [4, 57] Generated Node #3: [4, 57] from Operation: 114/2=57 Current State: 53:[4, 57], Operations: ['36+78=114', '114/2=57'] Exploring Operation: 57-4=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 24, 7, 22, 14 ]
52
[ "24+22=46", "7*14=98", "98-46=52" ]
Current State: 52:[24, 7, 22, 14], Operations: [] Exploring Operation: 24+22=46, Resulting Numbers: [7, 14, 46] Generated Node #2: [7, 14, 46] from Operation: 24+22=46 Current State: 52:[7, 14, 46], Operations: ['24+22=46'] Exploring Operation: 7*14=98, Resulting Numbers: [46, 98] Generated Node #3: [46, 98] from Operation: 7*14=98 Current State: 52:[46, 98], Operations: ['24+22=46', '7*14=98'] Exploring Operation: 98-46=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 8, 7, 28, 56 ]
17
[ "8+7=15", "56/28=2", "15+2=17" ]
Current State: 17:[8, 7, 28, 56], Operations: [] Exploring Operation: 8+7=15, Resulting Numbers: [28, 56, 15] Generated Node #2: [28, 56, 15] from Operation: 8+7=15 Current State: 17:[28, 56, 15], Operations: ['8+7=15'] Exploring Operation: 56/28=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 56/28=2 Current State: 17:[15, 2], Operations: ['8+7=15', '56/28=2'] Exploring Operation: 15+2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 25, 65, 45, 80 ]
47
[ "65-25=40", "80/40=2", "45+2=47" ]
Current State: 47:[25, 65, 45, 80], Operations: [] Exploring Operation: 65-25=40, Resulting Numbers: [45, 80, 40] Generated Node #2: [45, 80, 40] from Operation: 65-25=40 Current State: 47:[45, 80, 40], Operations: ['65-25=40'] Exploring Operation: 80/40=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 80/40=2 Current State: 47:[45, 2], Operations: ['65-25=40', '80/40=2'] Exploring Operation: 45+2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 4, 46, 21, 89 ]
91
[ "46-4=42", "42/21=2", "89+2=91" ]
Current State: 91:[4, 46, 21, 89], Operations: [] Exploring Operation: 46-4=42, Resulting Numbers: [21, 89, 42] Generated Node #2: [21, 89, 42] from Operation: 46-4=42 Current State: 91:[21, 89, 42], Operations: ['46-4=42'] Exploring Operation: 42/21=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 42/21=2 Current State: 91:[89, 2], Operations: ['46-4=42', '42/21=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 92, 87, 84 ]
47
[ "84/2=42", "92-87=5", "42+5=47" ]
Current State: 47:[2, 92, 87, 84], Operations: [] Exploring Operation: 84/2=42, Resulting Numbers: [92, 87, 42] Generated Node #2: [92, 87, 42] from Operation: 84/2=42 Current State: 47:[92, 87, 42], Operations: ['84/2=42'] Exploring Operation: 92-87=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 92-87=5 Current State: 47:[42, 5], Operations: ['84/2=42', '92-87=5'] Exploring Operation: 42+5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 3, 42, 9, 82 ]
77
[ "3+42=45", "45/9=5", "82-5=77" ]
Current State: 77:[3, 42, 9, 82], Operations: [] Exploring Operation: 3+42=45, Resulting Numbers: [9, 82, 45] Generated Node #2: [9, 82, 45] from Operation: 3+42=45 Current State: 77:[9, 82, 45], Operations: ['3+42=45'] Exploring Operation: 45/9=5, Resulting Numbers: [82, 5] Generated Node #3: [82, 5] from Operation: 45/9=5 Current State: 77:[82, 5], Operations: ['3+42=45', '45/9=5'] Exploring Operation: 82-5=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 62, 17, 44, 22 ]
21
[ "62-17=45", "44+22=66", "66-45=21" ]
Current State: 21:[62, 17, 44, 22], Operations: [] Exploring Operation: 62-17=45, Resulting Numbers: [44, 22, 45] Generated Node #2: [44, 22, 45] from Operation: 62-17=45 Current State: 21:[44, 22, 45], Operations: ['62-17=45'] Exploring Operation: 44+22=66, Resulting Numbers: [45, 66] Generated Node #3: [45, 66] from Operation: 44+22=66 Current State: 21:[45, 66], Operations: ['62-17=45', '44+22=66'] Exploring Operation: 66-45=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 55, 50, 41, 10 ]
54
[ "55+50=105", "41+10=51", "105-51=54" ]
Current State: 54:[55, 50, 41, 10], Operations: [] Exploring Operation: 55+50=105, Resulting Numbers: [41, 10, 105] Generated Node #2: [41, 10, 105] from Operation: 55+50=105 Current State: 54:[41, 10, 105], Operations: ['55+50=105'] Exploring Operation: 41+10=51, Resulting Numbers: [105, 51] Generated Node #3: [105, 51] from Operation: 41+10=51 Current State: 54:[105, 51], Operations: ['55+50=105', '41+10=51'] Exploring Operation: 105-51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 7, 80, 88, 4 ]
74
[ "7*88=616", "616/4=154", "154-80=74" ]
Current State: 74:[7, 80, 88, 4], Operations: [] Exploring Operation: 7*88=616, Resulting Numbers: [80, 4, 616] Generated Node #2: [80, 4, 616] from Operation: 7*88=616 Current State: 74:[80, 4, 616], Operations: ['7*88=616'] Exploring Operation: 616/4=154, Resulting Numbers: [80, 154] Generated Node #3: [80, 154] from Operation: 616/4=154 Current State: 74:[80, 154], Operations: ['7*88=616', '616/4=154'] Exploring Operation: 154-80=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 33, 96, 15, 93 ]
91
[ "33+15=48", "96/48=2", "93-2=91" ]
Current State: 91:[33, 96, 15, 93], Operations: [] Exploring Operation: 33+15=48, Resulting Numbers: [96, 93, 48] Generated Node #2: [96, 93, 48] from Operation: 33+15=48 Current State: 91:[96, 93, 48], Operations: ['33+15=48'] Exploring Operation: 96/48=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 96/48=2 Current State: 91:[93, 2], Operations: ['33+15=48', '96/48=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 37, 4, 99, 16 ]
82
[ "37-4=33", "99+16=115", "115-33=82" ]
Current State: 82:[37, 4, 99, 16], Operations: [] Exploring Operation: 37-4=33, Resulting Numbers: [99, 16, 33] Generated Node #2: [99, 16, 33] from Operation: 37-4=33 Current State: 82:[99, 16, 33], Operations: ['37-4=33'] Exploring Operation: 99+16=115, Resulting Numbers: [33, 115] Generated Node #3: [33, 115] from Operation: 99+16=115 Current State: 82:[33, 115], Operations: ['37-4=33', '99+16=115'] Exploring Operation: 115-33=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 7, 7, 73, 23 ]
50
[ "7-7=0", "73-23=50", "0+50=50" ]
Current State: 50:[7, 7, 73, 23], Operations: [] Exploring Operation: 7-7=0, Resulting Numbers: [73, 23, 0] Generated Node #2: [73, 23, 0] from Operation: 7-7=0 Current State: 50:[73, 23, 0], Operations: ['7-7=0'] Exploring Operation: 73-23=50, Resulting Numbers: [0, 50] Generated Node #3: [0, 50] from Operation: 73-23=50 Current State: 50:[0, 50], Operations: ['7-7=0', '73-23=50'] Exploring Operation: 0+50=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 15, 69, 68, 88 ]
34
[ "69-15=54", "88-68=20", "54-20=34" ]
Current State: 34:[15, 69, 68, 88], Operations: [] Exploring Operation: 69-15=54, Resulting Numbers: [68, 88, 54] Generated Node #2: [68, 88, 54] from Operation: 69-15=54 Current State: 34:[68, 88, 54], Operations: ['69-15=54'] Exploring Operation: 88-68=20, Resulting Numbers: [54, 20] Generated Node #3: [54, 20] from Operation: 88-68=20 Current State: 34:[54, 20], Operations: ['69-15=54', '88-68=20'] Exploring Operation: 54-20=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 20, 3, 73, 9 ]
40
[ "20+73=93", "93/3=31", "9+31=40" ]
Current State: 40:[20, 3, 73, 9], Operations: [] Exploring Operation: 20+73=93, Resulting Numbers: [3, 9, 93] Generated Node #2: [3, 9, 93] from Operation: 20+73=93 Current State: 40:[3, 9, 93], Operations: ['20+73=93'] Exploring Operation: 93/3=31, Resulting Numbers: [9, 31] Generated Node #3: [9, 31] from Operation: 93/3=31 Current State: 40:[9, 31], Operations: ['20+73=93', '93/3=31'] Exploring Operation: 9+31=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 29, 78, 43, 26 ]
38
[ "29+78=107", "43+26=69", "107-69=38" ]
Current State: 38:[29, 78, 43, 26], Operations: [] Exploring Operation: 29+78=107, Resulting Numbers: [43, 26, 107] Generated Node #2: [43, 26, 107] from Operation: 29+78=107 Current State: 38:[43, 26, 107], Operations: ['29+78=107'] Exploring Operation: 43+26=69, Resulting Numbers: [107, 69] Generated Node #3: [107, 69] from Operation: 43+26=69 Current State: 38:[107, 69], Operations: ['29+78=107', '43+26=69'] Exploring Operation: 107-69=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 28, 5, 14, 43 ]
62
[ "28+5=33", "43-14=29", "33+29=62" ]
Current State: 62:[28, 5, 14, 43], Operations: [] Exploring Operation: 28+5=33, Resulting Numbers: [14, 43, 33] Generated Node #2: [14, 43, 33] from Operation: 28+5=33 Current State: 62:[14, 43, 33], Operations: ['28+5=33'] Exploring Operation: 43-14=29, Resulting Numbers: [33, 29] Generated Node #3: [33, 29] from Operation: 43-14=29 Current State: 62:[33, 29], Operations: ['28+5=33', '43-14=29'] Exploring Operation: 33+29=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 59, 42, 58, 29 ]
80
[ "42*29=1218", "1218/58=21", "59+21=80" ]
Current State: 80:[59, 42, 58, 29], Operations: [] Exploring Operation: 42*29=1218, Resulting Numbers: [59, 58, 1218] Generated Node #2: [59, 58, 1218] from Operation: 42*29=1218 Current State: 80:[59, 58, 1218], Operations: ['42*29=1218'] Exploring Operation: 1218/58=21, Resulting Numbers: [59, 21] Generated Node #3: [59, 21] from Operation: 1218/58=21 Current State: 80:[59, 21], Operations: ['42*29=1218', '1218/58=21'] Exploring Operation: 59+21=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 77, 85, 16, 20 ]
18
[ "85-77=8", "16/8=2", "20-2=18" ]
Current State: 18:[77, 85, 16, 20], Operations: [] Exploring Operation: 85-77=8, Resulting Numbers: [16, 20, 8] Generated Node #2: [16, 20, 8] from Operation: 85-77=8 Current State: 18:[16, 20, 8], Operations: ['85-77=8'] Exploring Operation: 16/8=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 16/8=2 Current State: 18:[20, 2], Operations: ['85-77=8', '16/8=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4