Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 18, 22, 12, 96 ]
41
[ "18*22=396", "96+396=492", "492/12=41" ]
Current State: 41:[18, 22, 12, 96], Operations: [] Exploring Operation: 18*22=396, Resulting Numbers: [12, 96, 396] Generated Node #2: [12, 96, 396] from Operation: 18*22=396 Current State: 41:[12, 96, 396], Operations: ['18*22=396'] Exploring Operation: 96+396=492, Resulting Numbers: [12, 492] Generated Node #3: [12, 492] from Operation: 96+396=492 Current State: 41:[12, 492], Operations: ['18*22=396', '96+396=492'] Exploring Operation: 492/12=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 24, 41, 1, 49 ]
33
[ "41-24=17", "1+49=50", "50-17=33" ]
Current State: 33:[24, 41, 1, 49], Operations: [] Exploring Operation: 41-24=17, Resulting Numbers: [1, 49, 17] Generated Node #2: [1, 49, 17] from Operation: 41-24=17 Current State: 33:[1, 49, 17], Operations: ['41-24=17'] Exploring Operation: 1+49=50, Resulting Numbers: [17, 50] Generated Node #3: [17, 50] from Operation: 1+49=50 Current State: 33:[17, 50], Operations: ['41-24=17', '1+49=50'] Exploring Operation: 50-17=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 83, 38, 19, 55 ]
57
[ "83*38=3154", "3154-19=3135", "3135/55=57" ]
Current State: 57:[83, 38, 19, 55], Operations: [] Exploring Operation: 83*38=3154, Resulting Numbers: [19, 55, 3154] Generated Node #2: [19, 55, 3154] from Operation: 83*38=3154 Current State: 57:[19, 55, 3154], Operations: ['83*38=3154'] Exploring Operation: 3154-19=3135, Resulting Numbers: [55, 3135] Generated Node #3: [55, 3135] from Operation: 3154-19=3135 Current State: 57:[55, 3135], Operations: ['83*38=3154', '3154-19=3135'] Exploring Operation: 3135/55=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 51, 11, 31, 44 ]
24
[ "51-31=20", "44/11=4", "20+4=24" ]
Current State: 24:[51, 11, 31, 44], Operations: [] Exploring Operation: 51-31=20, Resulting Numbers: [11, 44, 20] Generated Node #2: [11, 44, 20] from Operation: 51-31=20 Current State: 24:[11, 44, 20], Operations: ['51-31=20'] Exploring Operation: 44/11=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 44/11=4 Current State: 24:[20, 4], Operations: ['51-31=20', '44/11=4'] Exploring Operation: 20+4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 72, 41, 52, 12 ]
87
[ "72/12=6", "41+52=93", "93-6=87" ]
Current State: 87:[72, 41, 52, 12], Operations: [] Exploring Operation: 72/12=6, Resulting Numbers: [41, 52, 6] Generated Node #2: [41, 52, 6] from Operation: 72/12=6 Current State: 87:[41, 52, 6], Operations: ['72/12=6'] Exploring Operation: 41+52=93, Resulting Numbers: [6, 93] Generated Node #3: [6, 93] from Operation: 41+52=93 Current State: 87:[6, 93], Operations: ['72/12=6', '41+52=93'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 69, 28, 83, 56 ]
42
[ "69+28=97", "83+56=139", "139-97=42" ]
Current State: 42:[69, 28, 83, 56], Operations: [] Exploring Operation: 69+28=97, Resulting Numbers: [83, 56, 97] Generated Node #2: [83, 56, 97] from Operation: 69+28=97 Current State: 42:[83, 56, 97], Operations: ['69+28=97'] Exploring Operation: 83+56=139, Resulting Numbers: [97, 139] Generated Node #3: [97, 139] from Operation: 83+56=139 Current State: 42:[97, 139], Operations: ['69+28=97', '83+56=139'] Exploring Operation: 139-97=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 5, 18, 37, 86 ]
33
[ "5*18=90", "37+86=123", "123-90=33" ]
Current State: 33:[5, 18, 37, 86], Operations: [] Exploring Operation: 5*18=90, Resulting Numbers: [37, 86, 90] Generated Node #2: [37, 86, 90] from Operation: 5*18=90 Current State: 33:[37, 86, 90], Operations: ['5*18=90'] Exploring Operation: 37+86=123, Resulting Numbers: [90, 123] Generated Node #3: [90, 123] from Operation: 37+86=123 Current State: 33:[90, 123], Operations: ['5*18=90', '37+86=123'] Exploring Operation: 123-90=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 85, 28, 80, 44 ]
90
[ "44-28=16", "80/16=5", "85+5=90" ]
Current State: 90:[85, 28, 80, 44], Operations: [] Exploring Operation: 44-28=16, Resulting Numbers: [85, 80, 16] Generated Node #2: [85, 80, 16] from Operation: 44-28=16 Current State: 90:[85, 80, 16], Operations: ['44-28=16'] Exploring Operation: 80/16=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 80/16=5 Current State: 90:[85, 5], Operations: ['44-28=16', '80/16=5'] Exploring Operation: 85+5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 98, 99, 18, 79 ]
99
[ "98-18=80", "80-79=1", "99*1=99" ]
Current State: 99:[98, 99, 18, 79], Operations: [] Exploring Operation: 98-18=80, Resulting Numbers: [99, 79, 80] Generated Node #2: [99, 79, 80] from Operation: 98-18=80 Current State: 99:[99, 79, 80], Operations: ['98-18=80'] Exploring Operation: 80-79=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 80-79=1 Current State: 99:[99, 1], Operations: ['98-18=80', '80-79=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 84, 25, 91 ]
27
[ "84-25=59", "2*59=118", "118-91=27" ]
Current State: 27:[2, 84, 25, 91], Operations: [] Exploring Operation: 84-25=59, Resulting Numbers: [2, 91, 59] Generated Node #2: [2, 91, 59] from Operation: 84-25=59 Current State: 27:[2, 91, 59], Operations: ['84-25=59'] Exploring Operation: 2*59=118, Resulting Numbers: [91, 118] Generated Node #3: [91, 118] from Operation: 2*59=118 Current State: 27:[91, 118], Operations: ['84-25=59', '2*59=118'] Exploring Operation: 118-91=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 81, 29, 2, 15 ]
93
[ "81+29=110", "2+15=17", "110-17=93" ]
Current State: 93:[81, 29, 2, 15], Operations: [] Exploring Operation: 81+29=110, Resulting Numbers: [2, 15, 110] Generated Node #2: [2, 15, 110] from Operation: 81+29=110 Current State: 93:[2, 15, 110], Operations: ['81+29=110'] Exploring Operation: 2+15=17, Resulting Numbers: [110, 17] Generated Node #3: [110, 17] from Operation: 2+15=17 Current State: 93:[110, 17], Operations: ['81+29=110', '2+15=17'] Exploring Operation: 110-17=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 55, 16, 69, 51 ]
57
[ "55-16=39", "69-51=18", "39+18=57" ]
Current State: 57:[55, 16, 69, 51], Operations: [] Exploring Operation: 55-16=39, Resulting Numbers: [69, 51, 39] Generated Node #2: [69, 51, 39] from Operation: 55-16=39 Current State: 57:[69, 51, 39], Operations: ['55-16=39'] Exploring Operation: 69-51=18, Resulting Numbers: [39, 18] Generated Node #3: [39, 18] from Operation: 69-51=18 Current State: 57:[39, 18], Operations: ['55-16=39', '69-51=18'] Exploring Operation: 39+18=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 49, 40, 91, 54 ]
83
[ "54-49=5", "40/5=8", "91-8=83" ]
Current State: 83:[49, 40, 91, 54], Operations: [] Exploring Operation: 54-49=5, Resulting Numbers: [40, 91, 5] Generated Node #2: [40, 91, 5] from Operation: 54-49=5 Current State: 83:[40, 91, 5], Operations: ['54-49=5'] Exploring Operation: 40/5=8, Resulting Numbers: [91, 8] Generated Node #3: [91, 8] from Operation: 40/5=8 Current State: 83:[91, 8], Operations: ['54-49=5', '40/5=8'] Exploring Operation: 91-8=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 61, 35, 5, 13 ]
44
[ "61-35=26", "5+13=18", "26+18=44" ]
Current State: 44:[61, 35, 5, 13], Operations: [] Exploring Operation: 61-35=26, Resulting Numbers: [5, 13, 26] Generated Node #2: [5, 13, 26] from Operation: 61-35=26 Current State: 44:[5, 13, 26], Operations: ['61-35=26'] Exploring Operation: 5+13=18, Resulting Numbers: [26, 18] Generated Node #3: [26, 18] from Operation: 5+13=18 Current State: 44:[26, 18], Operations: ['61-35=26', '5+13=18'] Exploring Operation: 26+18=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 6, 52, 48, 49 ]
18
[ "6+48=54", "52-49=3", "54/3=18" ]
Current State: 18:[6, 52, 48, 49], Operations: [] Exploring Operation: 6+48=54, Resulting Numbers: [52, 49, 54] Generated Node #2: [52, 49, 54] from Operation: 6+48=54 Current State: 18:[52, 49, 54], Operations: ['6+48=54'] Exploring Operation: 52-49=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 52-49=3 Current State: 18:[54, 3], Operations: ['6+48=54', '52-49=3'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 9, 2, 2, 60 ]
76
[ "9*2=18", "60-2=58", "18+58=76" ]
Current State: 76:[9, 2, 2, 60], Operations: [] Exploring Operation: 9*2=18, Resulting Numbers: [60, 18] Generated Node #2: [60, 18] from Operation: 9*2=18 Current State: 76:[60, 18], Operations: ['9*2=18'] Exploring Operation: 60-2=58, Resulting Numbers: [18, 58] Generated Node #3: [18, 58] from Operation: 60-2=58 Current State: 76:[18, 58], Operations: ['9*2=18', '60-2=58'] Exploring Operation: 18+58=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 46, 89, 71, 85 ]
21
[ "46+89=135", "71+85=156", "156-135=21" ]
Current State: 21:[46, 89, 71, 85], Operations: [] Exploring Operation: 46+89=135, Resulting Numbers: [71, 85, 135] Generated Node #2: [71, 85, 135] from Operation: 46+89=135 Current State: 21:[71, 85, 135], Operations: ['46+89=135'] Exploring Operation: 71+85=156, Resulting Numbers: [135, 156] Generated Node #3: [135, 156] from Operation: 71+85=156 Current State: 21:[135, 156], Operations: ['46+89=135', '71+85=156'] Exploring Operation: 156-135=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 49, 37, 42, 10 ]
35
[ "49-37=12", "42*10=420", "420/12=35" ]
Current State: 35:[49, 37, 42, 10], Operations: [] Exploring Operation: 49-37=12, Resulting Numbers: [42, 10, 12] Generated Node #2: [42, 10, 12] from Operation: 49-37=12 Current State: 35:[42, 10, 12], Operations: ['49-37=12'] Exploring Operation: 42*10=420, Resulting Numbers: [12, 420] Generated Node #3: [12, 420] from Operation: 42*10=420 Current State: 35:[12, 420], Operations: ['49-37=12', '42*10=420'] Exploring Operation: 420/12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 96, 66, 44, 76 ]
63
[ "76-44=32", "96/32=3", "66-3=63" ]
Current State: 63:[96, 66, 44, 76], Operations: [] Exploring Operation: 76-44=32, Resulting Numbers: [96, 66, 32] Generated Node #2: [96, 66, 32] from Operation: 76-44=32 Current State: 63:[96, 66, 32], Operations: ['76-44=32'] Exploring Operation: 96/32=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 96/32=3 Current State: 63:[66, 3], Operations: ['76-44=32', '96/32=3'] Exploring Operation: 66-3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 68, 80, 13, 36 ]
16
[ "80-68=12", "36/12=3", "13+3=16" ]
Current State: 16:[68, 80, 13, 36], Operations: [] Exploring Operation: 80-68=12, Resulting Numbers: [13, 36, 12] Generated Node #2: [13, 36, 12] from Operation: 80-68=12 Current State: 16:[13, 36, 12], Operations: ['80-68=12'] Exploring Operation: 36/12=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 36/12=3 Current State: 16:[13, 3], Operations: ['80-68=12', '36/12=3'] Exploring Operation: 13+3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 15, 9, 18, 11 ]
78
[ "18-11=7", "9*7=63", "15+63=78" ]
Current State: 78:[15, 9, 18, 11], Operations: [] Exploring Operation: 18-11=7, Resulting Numbers: [15, 9, 7] Generated Node #2: [15, 9, 7] from Operation: 18-11=7 Current State: 78:[15, 9, 7], Operations: ['18-11=7'] Exploring Operation: 9*7=63, Resulting Numbers: [15, 63] Generated Node #3: [15, 63] from Operation: 9*7=63 Current State: 78:[15, 63], Operations: ['18-11=7', '9*7=63'] Exploring Operation: 15+63=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 38, 69, 78, 66 ]
37
[ "38+69=107", "78+66=144", "144-107=37" ]
Current State: 37:[38, 69, 78, 66], Operations: [] Exploring Operation: 38+69=107, Resulting Numbers: [78, 66, 107] Generated Node #2: [78, 66, 107] from Operation: 38+69=107 Current State: 37:[78, 66, 107], Operations: ['38+69=107'] Exploring Operation: 78+66=144, Resulting Numbers: [107, 144] Generated Node #3: [107, 144] from Operation: 78+66=144 Current State: 37:[107, 144], Operations: ['38+69=107', '78+66=144'] Exploring Operation: 144-107=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 96, 36, 56, 6 ]
36
[ "96/6=16", "56-36=20", "16+20=36" ]
Current State: 36:[96, 36, 56, 6], Operations: [] Exploring Operation: 96/6=16, Resulting Numbers: [36, 56, 16] Generated Node #2: [36, 56, 16] from Operation: 96/6=16 Current State: 36:[36, 56, 16], Operations: ['96/6=16'] Exploring Operation: 56-36=20, Resulting Numbers: [16, 20] Generated Node #3: [16, 20] from Operation: 56-36=20 Current State: 36:[16, 20], Operations: ['96/6=16', '56-36=20'] Exploring Operation: 16+20=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 25, 30, 84, 66 ]
20
[ "25*66=1650", "30+1650=1680", "1680/84=20" ]
Current State: 20:[25, 30, 84, 66], Operations: [] Exploring Operation: 25*66=1650, Resulting Numbers: [30, 84, 1650] Generated Node #2: [30, 84, 1650] from Operation: 25*66=1650 Current State: 20:[30, 84, 1650], Operations: ['25*66=1650'] Exploring Operation: 30+1650=1680, Resulting Numbers: [84, 1680] Generated Node #3: [84, 1680] from Operation: 30+1650=1680 Current State: 20:[84, 1680], Operations: ['25*66=1650', '30+1650=1680'] Exploring Operation: 1680/84=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 72, 24, 33, 18 ]
87
[ "72/24=3", "18*3=54", "33+54=87" ]
Current State: 87:[72, 24, 33, 18], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [33, 18, 3] Generated Node #2: [33, 18, 3] from Operation: 72/24=3 Current State: 87:[33, 18, 3], Operations: ['72/24=3'] Exploring Operation: 18*3=54, Resulting Numbers: [33, 54] Generated Node #3: [33, 54] from Operation: 18*3=54 Current State: 87:[33, 54], Operations: ['72/24=3', '18*3=54'] Exploring Operation: 33+54=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 3, 83, 70, 89 ]
38
[ "3*70=210", "83+89=172", "210-172=38" ]
Current State: 38:[3, 83, 70, 89], Operations: [] Exploring Operation: 3*70=210, Resulting Numbers: [83, 89, 210] Generated Node #2: [83, 89, 210] from Operation: 3*70=210 Current State: 38:[83, 89, 210], Operations: ['3*70=210'] Exploring Operation: 83+89=172, Resulting Numbers: [210, 172] Generated Node #3: [210, 172] from Operation: 83+89=172 Current State: 38:[210, 172], Operations: ['3*70=210', '83+89=172'] Exploring Operation: 210-172=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 19, 23, 51, 27 ]
74
[ "23-19=4", "51+27=78", "78-4=74" ]
Current State: 74:[19, 23, 51, 27], Operations: [] Exploring Operation: 23-19=4, Resulting Numbers: [51, 27, 4] Generated Node #2: [51, 27, 4] from Operation: 23-19=4 Current State: 74:[51, 27, 4], Operations: ['23-19=4'] Exploring Operation: 51+27=78, Resulting Numbers: [4, 78] Generated Node #3: [4, 78] from Operation: 51+27=78 Current State: 74:[4, 78], Operations: ['23-19=4', '51+27=78'] Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 36, 77, 32, 8 ]
18
[ "77*8=616", "32+616=648", "648/36=18" ]
Current State: 18:[36, 77, 32, 8], Operations: [] Exploring Operation: 77*8=616, Resulting Numbers: [36, 32, 616] Generated Node #2: [36, 32, 616] from Operation: 77*8=616 Current State: 18:[36, 32, 616], Operations: ['77*8=616'] Exploring Operation: 32+616=648, Resulting Numbers: [36, 648] Generated Node #3: [36, 648] from Operation: 32+616=648 Current State: 18:[36, 648], Operations: ['77*8=616', '32+616=648'] Exploring Operation: 648/36=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 24, 54, 40, 42 ]
20
[ "54-42=12", "24/12=2", "40/2=20" ]
Current State: 20:[24, 54, 40, 42], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [24, 40, 12] Generated Node #2: [24, 40, 12] from Operation: 54-42=12 Current State: 20:[24, 40, 12], Operations: ['54-42=12'] Exploring Operation: 24/12=2, Resulting Numbers: [40, 2] Generated Node #3: [40, 2] from Operation: 24/12=2 Current State: 20:[40, 2], Operations: ['54-42=12', '24/12=2'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 56, 37, 74, 82 ]
85
[ "56+37=93", "82-74=8", "93-8=85" ]
Current State: 85:[56, 37, 74, 82], Operations: [] Exploring Operation: 56+37=93, Resulting Numbers: [74, 82, 93] Generated Node #2: [74, 82, 93] from Operation: 56+37=93 Current State: 85:[74, 82, 93], Operations: ['56+37=93'] Exploring Operation: 82-74=8, Resulting Numbers: [93, 8] Generated Node #3: [93, 8] from Operation: 82-74=8 Current State: 85:[93, 8], Operations: ['56+37=93', '82-74=8'] Exploring Operation: 93-8=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 38, 84, 65, 47 ]
45
[ "84-65=19", "38/19=2", "47-2=45" ]
Current State: 45:[38, 84, 65, 47], Operations: [] Exploring Operation: 84-65=19, Resulting Numbers: [38, 47, 19] Generated Node #2: [38, 47, 19] from Operation: 84-65=19 Current State: 45:[38, 47, 19], Operations: ['84-65=19'] Exploring Operation: 38/19=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 38/19=2 Current State: 45:[47, 2], Operations: ['84-65=19', '38/19=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 33, 84, 27, 96 ]
82
[ "33-27=6", "84/6=14", "96-14=82" ]
Current State: 82:[33, 84, 27, 96], Operations: [] Exploring Operation: 33-27=6, Resulting Numbers: [84, 96, 6] Generated Node #2: [84, 96, 6] from Operation: 33-27=6 Current State: 82:[84, 96, 6], Operations: ['33-27=6'] Exploring Operation: 84/6=14, Resulting Numbers: [96, 14] Generated Node #3: [96, 14] from Operation: 84/6=14 Current State: 82:[96, 14], Operations: ['33-27=6', '84/6=14'] Exploring Operation: 96-14=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 75, 40, 80, 14 ]
32
[ "75-40=35", "80*14=1120", "1120/35=32" ]
Current State: 32:[75, 40, 80, 14], Operations: [] Exploring Operation: 75-40=35, Resulting Numbers: [80, 14, 35] Generated Node #2: [80, 14, 35] from Operation: 75-40=35 Current State: 32:[80, 14, 35], Operations: ['75-40=35'] Exploring Operation: 80*14=1120, Resulting Numbers: [35, 1120] Generated Node #3: [35, 1120] from Operation: 80*14=1120 Current State: 32:[35, 1120], Operations: ['75-40=35', '80*14=1120'] Exploring Operation: 1120/35=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 38, 47, 11, 90 ]
45
[ "47-38=9", "11-9=2", "90/2=45" ]
Current State: 45:[38, 47, 11, 90], Operations: [] Exploring Operation: 47-38=9, Resulting Numbers: [11, 90, 9] Generated Node #2: [11, 90, 9] from Operation: 47-38=9 Current State: 45:[11, 90, 9], Operations: ['47-38=9'] Exploring Operation: 11-9=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 11-9=2 Current State: 45:[90, 2], Operations: ['47-38=9', '11-9=2'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 21, 48, 8, 51 ]
71
[ "51-48=3", "21*3=63", "8+63=71" ]
Current State: 71:[21, 48, 8, 51], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [21, 8, 3] Generated Node #2: [21, 8, 3] from Operation: 51-48=3 Current State: 71:[21, 8, 3], Operations: ['51-48=3'] Exploring Operation: 21*3=63, Resulting Numbers: [8, 63] Generated Node #3: [8, 63] from Operation: 21*3=63 Current State: 71:[8, 63], Operations: ['51-48=3', '21*3=63'] Exploring Operation: 8+63=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 95, 94, 93, 28 ]
68
[ "95+94=189", "93+28=121", "189-121=68" ]
Current State: 68:[95, 94, 93, 28], Operations: [] Exploring Operation: 95+94=189, Resulting Numbers: [93, 28, 189] Generated Node #2: [93, 28, 189] from Operation: 95+94=189 Current State: 68:[93, 28, 189], Operations: ['95+94=189'] Exploring Operation: 93+28=121, Resulting Numbers: [189, 121] Generated Node #3: [189, 121] from Operation: 93+28=121 Current State: 68:[189, 121], Operations: ['95+94=189', '93+28=121'] Exploring Operation: 189-121=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 24, 5, 32, 34 ]
52
[ "5+34=39", "32*39=1248", "1248/24=52" ]
Current State: 52:[24, 5, 32, 34], Operations: [] Exploring Operation: 5+34=39, Resulting Numbers: [24, 32, 39] Generated Node #2: [24, 32, 39] from Operation: 5+34=39 Current State: 52:[24, 32, 39], Operations: ['5+34=39'] Exploring Operation: 32*39=1248, Resulting Numbers: [24, 1248] Generated Node #3: [24, 1248] from Operation: 32*39=1248 Current State: 52:[24, 1248], Operations: ['5+34=39', '32*39=1248'] Exploring Operation: 1248/24=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 16, 1, 49, 3 ]
81
[ "3-1=2", "16*2=32", "49+32=81" ]
Current State: 81:[16, 1, 49, 3], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [16, 49, 2] Generated Node #2: [16, 49, 2] from Operation: 3-1=2 Current State: 81:[16, 49, 2], Operations: ['3-1=2'] Exploring Operation: 16*2=32, Resulting Numbers: [49, 32] Generated Node #3: [49, 32] from Operation: 16*2=32 Current State: 81:[49, 32], Operations: ['3-1=2', '16*2=32'] Exploring Operation: 49+32=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 26, 7, 78, 6 ]
24
[ "78/26=3", "7-3=4", "6*4=24" ]
Current State: 24:[26, 7, 78, 6], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [7, 6, 3] Generated Node #2: [7, 6, 3] from Operation: 78/26=3 Current State: 24:[7, 6, 3], Operations: ['78/26=3'] Exploring Operation: 7-3=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 7-3=4 Current State: 24:[6, 4], Operations: ['78/26=3', '7-3=4'] Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 87, 2, 37, 20 ]
40
[ "87-37=50", "20/2=10", "50-10=40" ]
Current State: 40:[87, 2, 37, 20], Operations: [] Exploring Operation: 87-37=50, Resulting Numbers: [2, 20, 50] Generated Node #2: [2, 20, 50] from Operation: 87-37=50 Current State: 40:[2, 20, 50], Operations: ['87-37=50'] Exploring Operation: 20/2=10, Resulting Numbers: [50, 10] Generated Node #3: [50, 10] from Operation: 20/2=10 Current State: 40:[50, 10], Operations: ['87-37=50', '20/2=10'] Exploring Operation: 50-10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 56, 61, 34, 84 ]
18
[ "61-34=27", "56*27=1512", "1512/84=18" ]
Current State: 18:[56, 61, 34, 84], Operations: [] Exploring Operation: 61-34=27, Resulting Numbers: [56, 84, 27] Generated Node #2: [56, 84, 27] from Operation: 61-34=27 Current State: 18:[56, 84, 27], Operations: ['61-34=27'] Exploring Operation: 56*27=1512, Resulting Numbers: [84, 1512] Generated Node #3: [84, 1512] from Operation: 56*27=1512 Current State: 18:[84, 1512], Operations: ['61-34=27', '56*27=1512'] Exploring Operation: 1512/84=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 11, 51, 71, 9 ]
79
[ "11*9=99", "71-51=20", "99-20=79" ]
Current State: 79:[11, 51, 71, 9], Operations: [] Exploring Operation: 11*9=99, Resulting Numbers: [51, 71, 99] Generated Node #2: [51, 71, 99] from Operation: 11*9=99 Current State: 79:[51, 71, 99], Operations: ['11*9=99'] Exploring Operation: 71-51=20, Resulting Numbers: [99, 20] Generated Node #3: [99, 20] from Operation: 71-51=20 Current State: 79:[99, 20], Operations: ['11*9=99', '71-51=20'] Exploring Operation: 99-20=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 14, 22, 11, 35 ]
16
[ "22-14=8", "35-11=24", "24-8=16" ]
Current State: 16:[14, 22, 11, 35], Operations: [] Exploring Operation: 22-14=8, Resulting Numbers: [11, 35, 8] Generated Node #2: [11, 35, 8] from Operation: 22-14=8 Current State: 16:[11, 35, 8], Operations: ['22-14=8'] Exploring Operation: 35-11=24, Resulting Numbers: [8, 24] Generated Node #3: [8, 24] from Operation: 35-11=24 Current State: 16:[8, 24], Operations: ['22-14=8', '35-11=24'] Exploring Operation: 24-8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 25, 23, 70, 3 ]
74
[ "25+23=48", "3*48=144", "144-70=74" ]
Current State: 74:[25, 23, 70, 3], Operations: [] Exploring Operation: 25+23=48, Resulting Numbers: [70, 3, 48] Generated Node #2: [70, 3, 48] from Operation: 25+23=48 Current State: 74:[70, 3, 48], Operations: ['25+23=48'] Exploring Operation: 3*48=144, Resulting Numbers: [70, 144] Generated Node #3: [70, 144] from Operation: 3*48=144 Current State: 74:[70, 144], Operations: ['25+23=48', '3*48=144'] Exploring Operation: 144-70=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 5, 65, 48, 65 ]
54
[ "5+48=53", "65/65=1", "53+1=54" ]
Current State: 54:[5, 65, 48, 65], Operations: [] Exploring Operation: 5+48=53, Resulting Numbers: [65, 65, 53] Generated Node #2: [65, 65, 53] from Operation: 5+48=53 Current State: 54:[65, 65, 53], Operations: ['5+48=53'] Exploring Operation: 65/65=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 65/65=1 Current State: 54:[53, 1], Operations: ['5+48=53', '65/65=1'] Exploring Operation: 53+1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 13, 16, 11, 31 ]
46
[ "13-11=2", "31*2=62", "62-16=46" ]
Current State: 46:[13, 16, 11, 31], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [16, 31, 2] Generated Node #2: [16, 31, 2] from Operation: 13-11=2 Current State: 46:[16, 31, 2], Operations: ['13-11=2'] Exploring Operation: 31*2=62, Resulting Numbers: [16, 62] Generated Node #3: [16, 62] from Operation: 31*2=62 Current State: 46:[16, 62], Operations: ['13-11=2', '31*2=62'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 99, 84, 14, 35 ]
34
[ "99-84=15", "14+35=49", "49-15=34" ]
Current State: 34:[99, 84, 14, 35], Operations: [] Exploring Operation: 99-84=15, Resulting Numbers: [14, 35, 15] Generated Node #2: [14, 35, 15] from Operation: 99-84=15 Current State: 34:[14, 35, 15], Operations: ['99-84=15'] Exploring Operation: 14+35=49, Resulting Numbers: [15, 49] Generated Node #3: [15, 49] from Operation: 14+35=49 Current State: 34:[15, 49], Operations: ['99-84=15', '14+35=49'] Exploring Operation: 49-15=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 56, 51, 13, 40 ]
54
[ "56+51=107", "13+40=53", "107-53=54" ]
Current State: 54:[56, 51, 13, 40], Operations: [] Exploring Operation: 56+51=107, Resulting Numbers: [13, 40, 107] Generated Node #2: [13, 40, 107] from Operation: 56+51=107 Current State: 54:[13, 40, 107], Operations: ['56+51=107'] Exploring Operation: 13+40=53, Resulting Numbers: [107, 53] Generated Node #3: [107, 53] from Operation: 13+40=53 Current State: 54:[107, 53], Operations: ['56+51=107', '13+40=53'] Exploring Operation: 107-53=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 48, 34, 4, 21 ]
99
[ "48+34=82", "21-4=17", "82+17=99" ]
Current State: 99:[48, 34, 4, 21], Operations: [] Exploring Operation: 48+34=82, Resulting Numbers: [4, 21, 82] Generated Node #2: [4, 21, 82] from Operation: 48+34=82 Current State: 99:[4, 21, 82], Operations: ['48+34=82'] Exploring Operation: 21-4=17, Resulting Numbers: [82, 17] Generated Node #3: [82, 17] from Operation: 21-4=17 Current State: 99:[82, 17], Operations: ['48+34=82', '21-4=17'] Exploring Operation: 82+17=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 4, 72, 68, 36 ]
95
[ "72+36=108", "108/4=27", "68+27=95" ]
Current State: 95:[4, 72, 68, 36], Operations: [] Exploring Operation: 72+36=108, Resulting Numbers: [4, 68, 108] Generated Node #2: [4, 68, 108] from Operation: 72+36=108 Current State: 95:[4, 68, 108], Operations: ['72+36=108'] Exploring Operation: 108/4=27, Resulting Numbers: [68, 27] Generated Node #3: [68, 27] from Operation: 108/4=27 Current State: 95:[68, 27], Operations: ['72+36=108', '108/4=27'] Exploring Operation: 68+27=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 28, 24, 1, 73 ]
70
[ "28-24=4", "1+73=74", "74-4=70" ]
Current State: 70:[28, 24, 1, 73], Operations: [] Exploring Operation: 28-24=4, Resulting Numbers: [1, 73, 4] Generated Node #2: [1, 73, 4] from Operation: 28-24=4 Current State: 70:[1, 73, 4], Operations: ['28-24=4'] Exploring Operation: 1+73=74, Resulting Numbers: [4, 74] Generated Node #3: [4, 74] from Operation: 1+73=74 Current State: 70:[4, 74], Operations: ['28-24=4', '1+73=74'] Exploring Operation: 74-4=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 32, 64, 90, 97 ]
83
[ "64/32=2", "90*2=180", "180-97=83" ]
Current State: 83:[32, 64, 90, 97], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [90, 97, 2] Generated Node #2: [90, 97, 2] from Operation: 64/32=2 Current State: 83:[90, 97, 2], Operations: ['64/32=2'] Exploring Operation: 90*2=180, Resulting Numbers: [97, 180] Generated Node #3: [97, 180] from Operation: 90*2=180 Current State: 83:[97, 180], Operations: ['64/32=2', '90*2=180'] Exploring Operation: 180-97=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 65, 36, 27, 13 ]
52
[ "36-27=9", "13*9=117", "117-65=52" ]
Current State: 52:[65, 36, 27, 13], Operations: [] Exploring Operation: 36-27=9, Resulting Numbers: [65, 13, 9] Generated Node #2: [65, 13, 9] from Operation: 36-27=9 Current State: 52:[65, 13, 9], Operations: ['36-27=9'] Exploring Operation: 13*9=117, Resulting Numbers: [65, 117] Generated Node #3: [65, 117] from Operation: 13*9=117 Current State: 52:[65, 117], Operations: ['36-27=9', '13*9=117'] Exploring Operation: 117-65=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 65, 87, 5 ]
99
[ "87-5=82", "2*82=164", "164-65=99" ]
Current State: 99:[2, 65, 87, 5], Operations: [] Exploring Operation: 87-5=82, Resulting Numbers: [2, 65, 82] Generated Node #2: [2, 65, 82] from Operation: 87-5=82 Current State: 99:[2, 65, 82], Operations: ['87-5=82'] Exploring Operation: 2*82=164, Resulting Numbers: [65, 164] Generated Node #3: [65, 164] from Operation: 2*82=164 Current State: 99:[65, 164], Operations: ['87-5=82', '2*82=164'] Exploring Operation: 164-65=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 29, 20, 5, 5 ]
10
[ "29-20=9", "5/5=1", "9+1=10" ]
Current State: 10:[29, 20, 5, 5], Operations: [] Exploring Operation: 29-20=9, Resulting Numbers: [5, 5, 9] Generated Node #2: [5, 5, 9] from Operation: 29-20=9 Current State: 10:[5, 5, 9], Operations: ['29-20=9'] Exploring Operation: 5/5=1, Resulting Numbers: [9, 1] Generated Node #3: [9, 1] from Operation: 5/5=1 Current State: 10:[9, 1], Operations: ['29-20=9', '5/5=1'] Exploring Operation: 9+1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 14, 43, 91, 42 ]
51
[ "42/14=3", "91-43=48", "3+48=51" ]
Current State: 51:[14, 43, 91, 42], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [43, 91, 3] Generated Node #2: [43, 91, 3] from Operation: 42/14=3 Current State: 51:[43, 91, 3], Operations: ['42/14=3'] Exploring Operation: 91-43=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 91-43=48 Current State: 51:[3, 48], Operations: ['42/14=3', '91-43=48'] Exploring Operation: 3+48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 7, 13, 63, 3 ]
16
[ "63/7=9", "9/3=3", "13+3=16" ]
Current State: 16:[7, 13, 63, 3], Operations: [] Exploring Operation: 63/7=9, Resulting Numbers: [13, 3, 9] Generated Node #2: [13, 3, 9] from Operation: 63/7=9 Current State: 16:[13, 3, 9], Operations: ['63/7=9'] Exploring Operation: 9/3=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 9/3=3 Current State: 16:[13, 3], Operations: ['63/7=9', '9/3=3'] Exploring Operation: 13+3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 33, 38, 69, 9 ]
18
[ "33+38=71", "71-69=2", "9*2=18" ]
Current State: 18:[33, 38, 69, 9], Operations: [] Exploring Operation: 33+38=71, Resulting Numbers: [69, 9, 71] Generated Node #2: [69, 9, 71] from Operation: 33+38=71 Current State: 18:[69, 9, 71], Operations: ['33+38=71'] Exploring Operation: 71-69=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 71-69=2 Current State: 18:[9, 2], Operations: ['33+38=71', '71-69=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 54, 62, 23, 59 ]
20
[ "54*23=1242", "1242-62=1180", "1180/59=20" ]
Current State: 20:[54, 62, 23, 59], Operations: [] Exploring Operation: 54*23=1242, Resulting Numbers: [62, 59, 1242] Generated Node #2: [62, 59, 1242] from Operation: 54*23=1242 Current State: 20:[62, 59, 1242], Operations: ['54*23=1242'] Exploring Operation: 1242-62=1180, Resulting Numbers: [59, 1180] Generated Node #3: [59, 1180] from Operation: 1242-62=1180 Current State: 20:[59, 1180], Operations: ['54*23=1242', '1242-62=1180'] Exploring Operation: 1180/59=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 32, 76, 79, 35 ]
61
[ "79-76=3", "32*3=96", "96-35=61" ]
Current State: 61:[32, 76, 79, 35], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [32, 35, 3] Generated Node #2: [32, 35, 3] from Operation: 79-76=3 Current State: 61:[32, 35, 3], Operations: ['79-76=3'] Exploring Operation: 32*3=96, Resulting Numbers: [35, 96] Generated Node #3: [35, 96] from Operation: 32*3=96 Current State: 61:[35, 96], Operations: ['79-76=3', '32*3=96'] Exploring Operation: 96-35=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 13, 5, 43, 76 ]
70
[ "43-13=30", "30/5=6", "76-6=70" ]
Current State: 70:[13, 5, 43, 76], Operations: [] Exploring Operation: 43-13=30, Resulting Numbers: [5, 76, 30] Generated Node #2: [5, 76, 30] from Operation: 43-13=30 Current State: 70:[5, 76, 30], Operations: ['43-13=30'] Exploring Operation: 30/5=6, Resulting Numbers: [76, 6] Generated Node #3: [76, 6] from Operation: 30/5=6 Current State: 70:[76, 6], Operations: ['43-13=30', '30/5=6'] Exploring Operation: 76-6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 21, 57, 1, 64 ]
100
[ "57-21=36", "1*64=64", "36+64=100" ]
Current State: 100:[21, 57, 1, 64], Operations: [] Exploring Operation: 57-21=36, Resulting Numbers: [1, 64, 36] Generated Node #2: [1, 64, 36] from Operation: 57-21=36 Current State: 100:[1, 64, 36], Operations: ['57-21=36'] Exploring Operation: 1*64=64, Resulting Numbers: [36, 64] Generated Node #3: [36, 64] from Operation: 1*64=64 Current State: 100:[36, 64], Operations: ['57-21=36', '1*64=64'] Exploring Operation: 36+64=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 62, 86, 16, 36 ]
54
[ "86-62=24", "36*24=864", "864/16=54" ]
Current State: 54:[62, 86, 16, 36], Operations: [] Exploring Operation: 86-62=24, Resulting Numbers: [16, 36, 24] Generated Node #2: [16, 36, 24] from Operation: 86-62=24 Current State: 54:[16, 36, 24], Operations: ['86-62=24'] Exploring Operation: 36*24=864, Resulting Numbers: [16, 864] Generated Node #3: [16, 864] from Operation: 36*24=864 Current State: 54:[16, 864], Operations: ['86-62=24', '36*24=864'] Exploring Operation: 864/16=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 51, 56, 25 ]
50
[ "61+51=112", "112/56=2", "25*2=50" ]
Current State: 50:[61, 51, 56, 25], Operations: [] Exploring Operation: 61+51=112, Resulting Numbers: [56, 25, 112] Generated Node #2: [56, 25, 112] from Operation: 61+51=112 Current State: 50:[56, 25, 112], Operations: ['61+51=112'] Exploring Operation: 112/56=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 112/56=2 Current State: 50:[25, 2], Operations: ['61+51=112', '112/56=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 52, 80, 91, 79 ]
39
[ "91-52=39", "80-79=1", "39*1=39" ]
Current State: 39:[52, 80, 91, 79], Operations: [] Exploring Operation: 91-52=39, Resulting Numbers: [80, 79, 39] Generated Node #2: [80, 79, 39] from Operation: 91-52=39 Current State: 39:[80, 79, 39], Operations: ['91-52=39'] Exploring Operation: 80-79=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 80-79=1 Current State: 39:[39, 1], Operations: ['91-52=39', '80-79=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 76, 51, 8, 63 ]
20
[ "63-51=12", "8*12=96", "96-76=20" ]
Current State: 20:[76, 51, 8, 63], Operations: [] Exploring Operation: 63-51=12, Resulting Numbers: [76, 8, 12] Generated Node #2: [76, 8, 12] from Operation: 63-51=12 Current State: 20:[76, 8, 12], Operations: ['63-51=12'] Exploring Operation: 8*12=96, Resulting Numbers: [76, 96] Generated Node #3: [76, 96] from Operation: 8*12=96 Current State: 20:[76, 96], Operations: ['63-51=12', '8*12=96'] Exploring Operation: 96-76=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 23, 52, 49, 27 ]
52
[ "49-23=26", "27-26=1", "52*1=52" ]
Current State: 52:[23, 52, 49, 27], Operations: [] Exploring Operation: 49-23=26, Resulting Numbers: [52, 27, 26] Generated Node #2: [52, 27, 26] from Operation: 49-23=26 Current State: 52:[52, 27, 26], Operations: ['49-23=26'] Exploring Operation: 27-26=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 27-26=1 Current State: 52:[52, 1], Operations: ['49-23=26', '27-26=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 62, 86, 28, 57 ]
61
[ "86-62=24", "28+57=85", "85-24=61" ]
Current State: 61:[62, 86, 28, 57], Operations: [] Exploring Operation: 86-62=24, Resulting Numbers: [28, 57, 24] Generated Node #2: [28, 57, 24] from Operation: 86-62=24 Current State: 61:[28, 57, 24], Operations: ['86-62=24'] Exploring Operation: 28+57=85, Resulting Numbers: [24, 85] Generated Node #3: [24, 85] from Operation: 28+57=85 Current State: 61:[24, 85], Operations: ['86-62=24', '28+57=85'] Exploring Operation: 85-24=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 87, 46, 93, 22 ]
86
[ "93-87=6", "22*6=132", "132-46=86" ]
Current State: 86:[87, 46, 93, 22], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [46, 22, 6] Generated Node #2: [46, 22, 6] from Operation: 93-87=6 Current State: 86:[46, 22, 6], Operations: ['93-87=6'] Exploring Operation: 22*6=132, Resulting Numbers: [46, 132] Generated Node #3: [46, 132] from Operation: 22*6=132 Current State: 86:[46, 132], Operations: ['93-87=6', '22*6=132'] Exploring Operation: 132-46=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 7, 31, 48, 62 ]
31
[ "31-7=24", "48/24=2", "62/2=31" ]
Current State: 31:[7, 31, 48, 62], Operations: [] Exploring Operation: 31-7=24, Resulting Numbers: [48, 62, 24] Generated Node #2: [48, 62, 24] from Operation: 31-7=24 Current State: 31:[48, 62, 24], Operations: ['31-7=24'] Exploring Operation: 48/24=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 48/24=2 Current State: 31:[62, 2], Operations: ['31-7=24', '48/24=2'] Exploring Operation: 62/2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 17, 57, 55, 63 ]
66
[ "17+57=74", "63-55=8", "74-8=66" ]
Current State: 66:[17, 57, 55, 63], Operations: [] Exploring Operation: 17+57=74, Resulting Numbers: [55, 63, 74] Generated Node #2: [55, 63, 74] from Operation: 17+57=74 Current State: 66:[55, 63, 74], Operations: ['17+57=74'] Exploring Operation: 63-55=8, Resulting Numbers: [74, 8] Generated Node #3: [74, 8] from Operation: 63-55=8 Current State: 66:[74, 8], Operations: ['17+57=74', '63-55=8'] Exploring Operation: 74-8=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 30, 72, 16, 87 ]
32
[ "30*16=480", "87-72=15", "480/15=32" ]
Current State: 32:[30, 72, 16, 87], Operations: [] Exploring Operation: 30*16=480, Resulting Numbers: [72, 87, 480] Generated Node #2: [72, 87, 480] from Operation: 30*16=480 Current State: 32:[72, 87, 480], Operations: ['30*16=480'] Exploring Operation: 87-72=15, Resulting Numbers: [480, 15] Generated Node #3: [480, 15] from Operation: 87-72=15 Current State: 32:[480, 15], Operations: ['30*16=480', '87-72=15'] Exploring Operation: 480/15=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 4, 63, 51, 1 ]
30
[ "4-1=3", "63/3=21", "51-21=30" ]
Current State: 30:[4, 63, 51, 1], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [63, 51, 3] Generated Node #2: [63, 51, 3] from Operation: 4-1=3 Current State: 30:[63, 51, 3], Operations: ['4-1=3'] Exploring Operation: 63/3=21, Resulting Numbers: [51, 21] Generated Node #3: [51, 21] from Operation: 63/3=21 Current State: 30:[51, 21], Operations: ['4-1=3', '63/3=21'] Exploring Operation: 51-21=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 50, 52, 4, 2 ]
10
[ "52-50=2", "4*2=8", "2+8=10" ]
Current State: 10:[50, 52, 4, 2], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [4, 2, 2] Generated Node #2: [4, 2, 2] from Operation: 52-50=2 Current State: 10:[4, 2, 2], Operations: ['52-50=2'] Exploring Operation: 4*2=8, Resulting Numbers: [8] 8,10 equal: Goal Reached Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 37, 76, 34, 36 ]
32
[ "37-34=3", "36*3=108", "108-76=32" ]
Current State: 32:[37, 76, 34, 36], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [76, 36, 3] Generated Node #2: [76, 36, 3] from Operation: 37-34=3 Current State: 32:[76, 36, 3], Operations: ['37-34=3'] Exploring Operation: 36*3=108, Resulting Numbers: [76, 108] Generated Node #3: [76, 108] from Operation: 36*3=108 Current State: 32:[76, 108], Operations: ['37-34=3', '36*3=108'] Exploring Operation: 108-76=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 35, 65, 70, 19 ]
49
[ "35+65=100", "70-19=51", "100-51=49" ]
Current State: 49:[35, 65, 70, 19], Operations: [] Exploring Operation: 35+65=100, Resulting Numbers: [70, 19, 100] Generated Node #2: [70, 19, 100] from Operation: 35+65=100 Current State: 49:[70, 19, 100], Operations: ['35+65=100'] Exploring Operation: 70-19=51, Resulting Numbers: [100, 51] Generated Node #3: [100, 51] from Operation: 70-19=51 Current State: 49:[100, 51], Operations: ['35+65=100', '70-19=51'] Exploring Operation: 100-51=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 35, 94, 24, 66 ]
100
[ "35-24=11", "66/11=6", "94+6=100" ]
Current State: 100:[35, 94, 24, 66], Operations: [] Exploring Operation: 35-24=11, Resulting Numbers: [94, 66, 11] Generated Node #2: [94, 66, 11] from Operation: 35-24=11 Current State: 100:[94, 66, 11], Operations: ['35-24=11'] Exploring Operation: 66/11=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 66/11=6 Current State: 100:[94, 6], Operations: ['35-24=11', '66/11=6'] Exploring Operation: 94+6=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 89, 72, 31, 29 ]
34
[ "89-72=17", "31-29=2", "17*2=34" ]
Current State: 34:[89, 72, 31, 29], Operations: [] Exploring Operation: 89-72=17, Resulting Numbers: [31, 29, 17] Generated Node #2: [31, 29, 17] from Operation: 89-72=17 Current State: 34:[31, 29, 17], Operations: ['89-72=17'] Exploring Operation: 31-29=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 31-29=2 Current State: 34:[17, 2], Operations: ['89-72=17', '31-29=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 17, 3, 97, 93 ]
65
[ "97-93=4", "17*4=68", "68-3=65" ]
Current State: 65:[17, 3, 97, 93], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [17, 3, 4] Generated Node #2: [17, 3, 4] from Operation: 97-93=4 Current State: 65:[17, 3, 4], Operations: ['97-93=4'] Exploring Operation: 17*4=68, Resulting Numbers: [3, 68] Generated Node #3: [3, 68] from Operation: 17*4=68 Current State: 65:[3, 68], Operations: ['97-93=4', '17*4=68'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 39, 47, 24, 90 ]
58
[ "47-39=8", "90-24=66", "66-8=58" ]
Current State: 58:[39, 47, 24, 90], Operations: [] Exploring Operation: 47-39=8, Resulting Numbers: [24, 90, 8] Generated Node #2: [24, 90, 8] from Operation: 47-39=8 Current State: 58:[24, 90, 8], Operations: ['47-39=8'] Exploring Operation: 90-24=66, Resulting Numbers: [8, 66] Generated Node #3: [8, 66] from Operation: 90-24=66 Current State: 58:[8, 66], Operations: ['47-39=8', '90-24=66'] Exploring Operation: 66-8=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 49, 65, 84, 67 ]
91
[ "67-65=2", "84/2=42", "49+42=91" ]
Current State: 91:[49, 65, 84, 67], Operations: [] Exploring Operation: 67-65=2, Resulting Numbers: [49, 84, 2] Generated Node #2: [49, 84, 2] from Operation: 67-65=2 Current State: 91:[49, 84, 2], Operations: ['67-65=2'] Exploring Operation: 84/2=42, Resulting Numbers: [49, 42] Generated Node #3: [49, 42] from Operation: 84/2=42 Current State: 91:[49, 42], Operations: ['67-65=2', '84/2=42'] Exploring Operation: 49+42=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 4, 3, 29, 47 ]
23
[ "4*29=116", "116-47=69", "69/3=23" ]
Current State: 23:[4, 3, 29, 47], Operations: [] Exploring Operation: 4*29=116, Resulting Numbers: [3, 47, 116] Generated Node #2: [3, 47, 116] from Operation: 4*29=116 Current State: 23:[3, 47, 116], Operations: ['4*29=116'] Exploring Operation: 116-47=69, Resulting Numbers: [3, 69] Generated Node #3: [3, 69] from Operation: 116-47=69 Current State: 23:[3, 69], Operations: ['4*29=116', '116-47=69'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 61, 51, 51, 49 ]
13
[ "61-49=12", "51/51=1", "12+1=13" ]
Current State: 13:[61, 51, 51, 49], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [51, 51, 12] Generated Node #2: [51, 51, 12] from Operation: 61-49=12 Current State: 13:[51, 51, 12], Operations: ['61-49=12'] Exploring Operation: 51/51=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 51/51=1 Current State: 13:[12, 1], Operations: ['61-49=12', '51/51=1'] Exploring Operation: 12+1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 38, 17, 14, 57 ]
98
[ "38+17=55", "57-14=43", "55+43=98" ]
Current State: 98:[38, 17, 14, 57], Operations: [] Exploring Operation: 38+17=55, Resulting Numbers: [14, 57, 55] Generated Node #2: [14, 57, 55] from Operation: 38+17=55 Current State: 98:[14, 57, 55], Operations: ['38+17=55'] Exploring Operation: 57-14=43, Resulting Numbers: [55, 43] Generated Node #3: [55, 43] from Operation: 57-14=43 Current State: 98:[55, 43], Operations: ['38+17=55', '57-14=43'] Exploring Operation: 55+43=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 11, 30, 39, 22 ]
48
[ "22/11=2", "39*2=78", "78-30=48" ]
Current State: 48:[11, 30, 39, 22], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [30, 39, 2] Generated Node #2: [30, 39, 2] from Operation: 22/11=2 Current State: 48:[30, 39, 2], Operations: ['22/11=2'] Exploring Operation: 39*2=78, Resulting Numbers: [30, 78] Generated Node #3: [30, 78] from Operation: 39*2=78 Current State: 48:[30, 78], Operations: ['22/11=2', '39*2=78'] Exploring Operation: 78-30=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 66, 92, 58, 43 ]
75
[ "92-66=26", "58+43=101", "101-26=75" ]
Current State: 75:[66, 92, 58, 43], Operations: [] Exploring Operation: 92-66=26, Resulting Numbers: [58, 43, 26] Generated Node #2: [58, 43, 26] from Operation: 92-66=26 Current State: 75:[58, 43, 26], Operations: ['92-66=26'] Exploring Operation: 58+43=101, Resulting Numbers: [26, 101] Generated Node #3: [26, 101] from Operation: 58+43=101 Current State: 75:[26, 101], Operations: ['92-66=26', '58+43=101'] Exploring Operation: 101-26=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 38, 16, 24, 57 ]
12
[ "24-16=8", "57*8=456", "456/38=12" ]
Current State: 12:[38, 16, 24, 57], Operations: [] Exploring Operation: 24-16=8, Resulting Numbers: [38, 57, 8] Generated Node #2: [38, 57, 8] from Operation: 24-16=8 Current State: 12:[38, 57, 8], Operations: ['24-16=8'] Exploring Operation: 57*8=456, Resulting Numbers: [38, 456] Generated Node #3: [38, 456] from Operation: 57*8=456 Current State: 12:[38, 456], Operations: ['24-16=8', '57*8=456'] Exploring Operation: 456/38=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 60, 79, 37, 13 ]
69
[ "79-60=19", "37+13=50", "19+50=69" ]
Current State: 69:[60, 79, 37, 13], Operations: [] Exploring Operation: 79-60=19, Resulting Numbers: [37, 13, 19] Generated Node #2: [37, 13, 19] from Operation: 79-60=19 Current State: 69:[37, 13, 19], Operations: ['79-60=19'] Exploring Operation: 37+13=50, Resulting Numbers: [19, 50] Generated Node #3: [19, 50] from Operation: 37+13=50 Current State: 69:[19, 50], Operations: ['79-60=19', '37+13=50'] Exploring Operation: 19+50=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 79, 71, 28, 80 ]
43
[ "80-79=1", "71-28=43", "1*43=43" ]
Current State: 43:[79, 71, 28, 80], Operations: [] Exploring Operation: 80-79=1, Resulting Numbers: [71, 28, 1] Generated Node #2: [71, 28, 1] from Operation: 80-79=1 Current State: 43:[71, 28, 1], Operations: ['80-79=1'] Exploring Operation: 71-28=43, Resulting Numbers: [1, 43] Generated Node #3: [1, 43] from Operation: 71-28=43 Current State: 43:[1, 43], Operations: ['80-79=1', '71-28=43'] Exploring Operation: 1*43=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 99, 53, 5, 87 ]
70
[ "99+53=152", "87-5=82", "152-82=70" ]
Current State: 70:[99, 53, 5, 87], Operations: [] Exploring Operation: 99+53=152, Resulting Numbers: [5, 87, 152] Generated Node #2: [5, 87, 152] from Operation: 99+53=152 Current State: 70:[5, 87, 152], Operations: ['99+53=152'] Exploring Operation: 87-5=82, Resulting Numbers: [152, 82] Generated Node #3: [152, 82] from Operation: 87-5=82 Current State: 70:[152, 82], Operations: ['99+53=152', '87-5=82'] Exploring Operation: 152-82=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 54, 27, 50, 14 ]
62
[ "54/27=2", "50+14=64", "64-2=62" ]
Current State: 62:[54, 27, 50, 14], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [50, 14, 2] Generated Node #2: [50, 14, 2] from Operation: 54/27=2 Current State: 62:[50, 14, 2], Operations: ['54/27=2'] Exploring Operation: 50+14=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 50+14=64 Current State: 62:[2, 64], Operations: ['54/27=2', '50+14=64'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 54, 38, 27, 32 ]
36
[ "38-32=6", "54/6=9", "27+9=36" ]
Current State: 36:[54, 38, 27, 32], Operations: [] Exploring Operation: 38-32=6, Resulting Numbers: [54, 27, 6] Generated Node #2: [54, 27, 6] from Operation: 38-32=6 Current State: 36:[54, 27, 6], Operations: ['38-32=6'] Exploring Operation: 54/6=9, Resulting Numbers: [27, 9] Generated Node #3: [27, 9] from Operation: 54/6=9 Current State: 36:[27, 9], Operations: ['38-32=6', '54/6=9'] Exploring Operation: 27+9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 57, 4, 39, 8 ]
67
[ "39-8=31", "4*31=124", "124-57=67" ]
Current State: 67:[57, 4, 39, 8], Operations: [] Exploring Operation: 39-8=31, Resulting Numbers: [57, 4, 31] Generated Node #2: [57, 4, 31] from Operation: 39-8=31 Current State: 67:[57, 4, 31], Operations: ['39-8=31'] Exploring Operation: 4*31=124, Resulting Numbers: [57, 124] Generated Node #3: [57, 124] from Operation: 4*31=124 Current State: 67:[57, 124], Operations: ['39-8=31', '4*31=124'] Exploring Operation: 124-57=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 29, 65, 59, 8 ]
31
[ "65-29=36", "59+8=67", "67-36=31" ]
Current State: 31:[29, 65, 59, 8], Operations: [] Exploring Operation: 65-29=36, Resulting Numbers: [59, 8, 36] Generated Node #2: [59, 8, 36] from Operation: 65-29=36 Current State: 31:[59, 8, 36], Operations: ['65-29=36'] Exploring Operation: 59+8=67, Resulting Numbers: [36, 67] Generated Node #3: [36, 67] from Operation: 59+8=67 Current State: 31:[36, 67], Operations: ['65-29=36', '59+8=67'] Exploring Operation: 67-36=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 51, 45, 45, 23 ]
73
[ "51+23=74", "45/45=1", "74-1=73" ]
Current State: 73:[51, 45, 45, 23], Operations: [] Exploring Operation: 51+23=74, Resulting Numbers: [45, 45, 74] Generated Node #2: [45, 45, 74] from Operation: 51+23=74 Current State: 73:[45, 45, 74], Operations: ['51+23=74'] Exploring Operation: 45/45=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 45/45=1 Current State: 73:[74, 1], Operations: ['51+23=74', '45/45=1'] Exploring Operation: 74-1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 15, 62, 45, 31 ]
63
[ "15+62=77", "45-31=14", "77-14=63" ]
Current State: 63:[15, 62, 45, 31], Operations: [] Exploring Operation: 15+62=77, Resulting Numbers: [45, 31, 77] Generated Node #2: [45, 31, 77] from Operation: 15+62=77 Current State: 63:[45, 31, 77], Operations: ['15+62=77'] Exploring Operation: 45-31=14, Resulting Numbers: [77, 14] Generated Node #3: [77, 14] from Operation: 45-31=14 Current State: 63:[77, 14], Operations: ['15+62=77', '45-31=14'] Exploring Operation: 77-14=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 53, 5, 59, 81 ]
36
[ "53+5=58", "81-59=22", "58-22=36" ]
Current State: 36:[53, 5, 59, 81], Operations: [] Exploring Operation: 53+5=58, Resulting Numbers: [59, 81, 58] Generated Node #2: [59, 81, 58] from Operation: 53+5=58 Current State: 36:[59, 81, 58], Operations: ['53+5=58'] Exploring Operation: 81-59=22, Resulting Numbers: [58, 22] Generated Node #3: [58, 22] from Operation: 81-59=22 Current State: 36:[58, 22], Operations: ['53+5=58', '81-59=22'] Exploring Operation: 58-22=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 4, 41, 90, 31 ]
84
[ "41-4=37", "90+31=121", "121-37=84" ]
Current State: 84:[4, 41, 90, 31], Operations: [] Exploring Operation: 41-4=37, Resulting Numbers: [90, 31, 37] Generated Node #2: [90, 31, 37] from Operation: 41-4=37 Current State: 84:[90, 31, 37], Operations: ['41-4=37'] Exploring Operation: 90+31=121, Resulting Numbers: [37, 121] Generated Node #3: [37, 121] from Operation: 90+31=121 Current State: 84:[37, 121], Operations: ['41-4=37', '90+31=121'] Exploring Operation: 121-37=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 42, 34, 52, 54 ]
39
[ "52-34=18", "54/18=3", "42-3=39" ]
Current State: 39:[42, 34, 52, 54], Operations: [] Exploring Operation: 52-34=18, Resulting Numbers: [42, 54, 18] Generated Node #2: [42, 54, 18] from Operation: 52-34=18 Current State: 39:[42, 54, 18], Operations: ['52-34=18'] Exploring Operation: 54/18=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 54/18=3 Current State: 39:[42, 3], Operations: ['52-34=18', '54/18=3'] Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 17, 4, 31, 74 ]
62
[ "17+31=48", "48/4=12", "74-12=62" ]
Current State: 62:[17, 4, 31, 74], Operations: [] Exploring Operation: 17+31=48, Resulting Numbers: [4, 74, 48] Generated Node #2: [4, 74, 48] from Operation: 17+31=48 Current State: 62:[4, 74, 48], Operations: ['17+31=48'] Exploring Operation: 48/4=12, Resulting Numbers: [74, 12] Generated Node #3: [74, 12] from Operation: 48/4=12 Current State: 62:[74, 12], Operations: ['17+31=48', '48/4=12'] Exploring Operation: 74-12=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4