Init

DNA

# DNA
x <- DNAString("actttGtag")
is(x)
## [1] "DNAString" "XString"   "XRaw"      "XVector"   "Vector"    "Annotated"
#转录 
x %>% complement() %>% RNAString() -> rna
# 反向互补
x.r <- reverseComplement(x)
x.r
##   9-letter "DNAString" instance
## seq: CTACAAAGT
d <- DNAString("TTGAAAA-CTC-N")
d
##   13-letter "DNAString" instance
## seq: TTGAAAA-CTC-N
#subset
subseq(x, start =1, end = 5)
##   5-letter "DNAString" instance
## seq: ACTTT
#碱基置换
chartr(old = "A", new = "C", x)
##   9-letter "DNAString" instance
## seq: CCTTTGTCG
#DNA_BASES
DNA_BASES
## [1] "A" "C" "G" "T"
#IUPAC_CODE_MAP
IUPAC_CODE_MAP
##      A      C      G      T      M      R      W      S      Y      K 
##    "A"    "C"    "G"    "T"   "AC"   "AG"   "AT"   "CG"   "CT"   "GT" 
##      V      H      D      B      N 
##  "ACG"  "ACT"  "AGT"  "CGT" "ACGT"

RNA

x <- RNAString("acuuuGuag")
is(x)
## [1] "RNAString" "XString"   "XRaw"      "XVector"   "Vector"    "Annotated"
# 逆转录 
x %>% complement() %>% DNAString()
##   9-letter "DNAString" instance
## seq: TGAAACATC
# 翻译
codons(x)
##   Views on a 9-letter RNAString subject
## subject: ACUUUGUAG
## views:
##     start end width
## [1]     1   3     3 [ACU]
## [2]     4   6     3 [UUG]
## [3]     7   9     3 [UAG]
translate(x)
##   3-letter "AAString" instance
## seq: TL*
#dna -> rna:T <-> U
DNAString("actttGtag") %>% RNAString()
##   9-letter "RNAString" instance
## seq: ACUUUGUAG
#rna -> dna:U <-> T
rna %>% DNAString()
##   9-letter "DNAString" instance
## seq: TGAAACATC

AA: Amino acid

x <- AAString("actttGtag")
is(x)
## [1] "AAString"  "XString"   "XRaw"      "XVector"   "Vector"    "Annotated"

reads

# all kmer
reads <- mkAllStrings(c("A", "C", "G", "T"), 6)
is(reads)
## [1] "character"             "vector"                "data.frameRowLabels"  
## [4] "SuperClassMethod"      "characterORconnection" "character_OR_NULL"    
## [7] "atomic"                "vector_OR_factor"
all6mer <- DNAStringSet(reads)
all6mer[1]
##   A DNAStringSet instance of length 1
##     width seq
## [1]     6 AAAAAA
all6mer[[1]]
##   6-letter "DNAString" instance
## seq: AAAAAA

frequence

x <- DNAString("actttGtag")
x.freq <- alphabetFrequency(x)
is(x.freq)
## [1] "integer"             "numeric"             "vector"             
## [4] "data.frameRowLabels" "integer_OR_Linteger" "atomic"             
## [7] "vector_OR_factor"
x.freq
## A C G T M R W S Y K V H D B N - + . 
## 2 1 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
x.freq <- alphabetFrequency(x, baseOnly = T)
x.freq
##     A     C     G     T other 
##     2     1     2     4     0
# any 2 kmer freq
dinucleotideFrequency(x)
## AA AC AG AT CA CC CG CT GA GC GG GT TA TC TG TT 
##  0  1  1  0  0  0  0  1  0  0  0  1  1  0  1  2
# any 3 kmer freq
trinucleotideFrequency(x)
## AAA AAC AAG AAT ACA ACC ACG ACT AGA AGC AGG AGT ATA ATC ATG ATT CAA CAC 
##   0   0   0   0   0   0   0   1   0   0   0   0   0   0   0   0   0   0 
## CAG CAT CCA CCC CCG CCT CGA CGC CGG CGT CTA CTC CTG CTT GAA GAC GAG GAT 
##   0   0   0   0   0   0   0   0   0   0   0   0   0   1   0   0   0   0 
## GCA GCC GCG GCT GGA GGC GGG GGT GTA GTC GTG GTT TAA TAC TAG TAT TCA TCC 
##   0   0   0   0   0   0   0   0   1   0   0   0   0   0   1   0   0   0 
## TCG TCT TGA TGC TGG TGT TTA TTC TTG TTT 
##   0   0   0   0   0   1   0   0   1   1
# any 4 kmer freq
oligonucleotideFrequency(x, 4)
## AAAA AAAC AAAG AAAT AACA AACC AACG AACT AAGA AAGC AAGG AAGT AATA AATC AATG 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## AATT ACAA ACAC ACAG ACAT ACCA ACCC ACCG ACCT ACGA ACGC ACGG ACGT ACTA ACTC 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## ACTG ACTT AGAA AGAC AGAG AGAT AGCA AGCC AGCG AGCT AGGA AGGC AGGG AGGT AGTA 
##    0    1    0    0    0    0    0    0    0    0    0    0    0    0    0 
## AGTC AGTG AGTT ATAA ATAC ATAG ATAT ATCA ATCC ATCG ATCT ATGA ATGC ATGG ATGT 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## ATTA ATTC ATTG ATTT CAAA CAAC CAAG CAAT CACA CACC CACG CACT CAGA CAGC CAGG 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## CAGT CATA CATC CATG CATT CCAA CCAC CCAG CCAT CCCA CCCC CCCG CCCT CCGA CCGC 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## CCGG CCGT CCTA CCTC CCTG CCTT CGAA CGAC CGAG CGAT CGCA CGCC CGCG CGCT CGGA 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## CGGC CGGG CGGT CGTA CGTC CGTG CGTT CTAA CTAC CTAG CTAT CTCA CTCC CTCG CTCT 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## CTGA CTGC CTGG CTGT CTTA CTTC CTTG CTTT GAAA GAAC GAAG GAAT GACA GACC GACG 
##    0    0    0    0    0    0    0    1    0    0    0    0    0    0    0 
## GACT GAGA GAGC GAGG GAGT GATA GATC GATG GATT GCAA GCAC GCAG GCAT GCCA GCCC 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## GCCG GCCT GCGA GCGC GCGG GCGT GCTA GCTC GCTG GCTT GGAA GGAC GGAG GGAT GGCA 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## GGCC GGCG GGCT GGGA GGGC GGGG GGGT GGTA GGTC GGTG GGTT GTAA GTAC GTAG GTAT 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    1    0 
## GTCA GTCC GTCG GTCT GTGA GTGC GTGG GTGT GTTA GTTC GTTG GTTT TAAA TAAC TAAG 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## TAAT TACA TACC TACG TACT TAGA TAGC TAGG TAGT TATA TATC TATG TATT TCAA TCAC 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## TCAG TCAT TCCA TCCC TCCG TCCT TCGA TCGC TCGG TCGT TCTA TCTC TCTG TCTT TGAA 
##    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0 
## TGAC TGAG TGAT TGCA TGCC TGCG TGCT TGGA TGGC TGGG TGGT TGTA TGTC TGTG TGTT 
##    0    0    0    0    0    0    0    0    0    0    0    1    0    0    0 
## TTAA TTAC TTAG TTAT TTCA TTCC TTCG TTCT TTGA TTGC TTGG TTGT TTTA TTTC TTTG 
##    0    0    0    0    0    0    0    0    0    0    0    1    0    0    1 
## TTTT 
##    0
# 计算相对于序列组的���特定位置���的碱基频率
nucleotideFrequencyAt(as(reads, "DNAStringSet"), 1)
##    A    C    G    T 
## 1024 1024 1024 1024
  dinucleotideFrequency(as(reads, "DNAStringSet"))
##         AA AC AG AT CA CC CG CT GA GC GG GT TA TC TG TT
##    [1,]  5  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
##    [2,]  4  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0
##    [3,]  4  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0
##    [4,]  4  0  0  1  0  0  0  0  0  0  0  0  0  0  0  0
##    [5,]  3  1  0  0  1  0  0  0  0  0  0  0  0  0  0  0
##    [6,]  3  1  0  0  0  1  0  0  0  0  0  0  0  0  0  0
##    [7,]  3  1  0  0  0  0  1  0  0  0  0  0  0  0  0  0
##    [8,]  3  1  0  0  0  0  0  1  0  0  0  0  0  0  0  0
##    [9,]  3  0  1  0  0  0  0  0  1  0  0  0  0  0  0  0
##   [10,]  3  0  1  0  0  0  0  0  0  1  0  0  0  0  0  0
##   [11,]  3  0  1  0  0  0  0  0  0  0  1  0  0  0  0  0
##   [12,]  3  0  1  0  0  0  0  0  0  0  0  1  0  0  0  0
##   [13,]  3  0  0  1  0  0  0  0  0  0  0  0  1  0  0  0
##   [14,]  3  0  0  1  0  0  0  0  0  0  0  0  0  1  0  0
##   [15,]  3  0  0  1  0  0  0  0  0  0  0  0  0  0  1  0
##   [16,]  3  0  0  1  0  0  0  0  0  0  0  0  0  0  0  1
##   [17,]  3  1  0  0  1  0  0  0  0  0  0  0  0  0  0  0
##   [18,]  2  2  0  0  1  0  0  0  0  0  0  0  0  0  0  0
##   [19,]  2  1  1  0  1  0  0  0  0  0  0  0  0  0  0  0
##   [20,]  2  1  0  1  1  0  0  0  0  0  0  0  0  0  0  0
##   [21,]  2  1  0  0  1  1  0  0  0  0  0  0  0  0  0  0
##   [22,]  2  1  0  0  0  2  0  0  0  0  0  0  0  0  0  0
##   [23,]  2  1  0  0  0  1  1  0  0  0  0  0  0  0  0  0
##   [24,]  2  1  0  0  0  1  0  1  0  0  0  0  0  0  0  0
##   [25,]  2  1  0  0  0  0  1  0  1  0  0  0  0  0  0  0
##   [26,]  2  1  0  0  0  0  1  0  0  1  0  0  0  0  0  0
##   [27,]  2  1  0  0  0  0  1  0  0  0  1  0  0  0  0  0
##   [28,]  2  1  0  0  0  0  1  0  0  0  0  1  0  0  0  0
##   [29,]  2  1  0  0  0  0  0  1  0  0  0  0  1  0  0  0
##   [30,]  2  1  0  0  0  0  0  1  0  0  0  0  0  1  0  0
##   [31,]  2  1  0  0  0  0  0  1  0  0  0  0  0  0  1  0
##   [32,]  2  1  0  0  0  0  0  1  0  0  0  0  0  0  0  1
##   [33,]  3  0  1  0  0  0  0  0  1  0  0  0  0  0  0  0
##   [34,]  2  1  1  0  0  0  0  0  1  0  0  0  0  0  0  0
##   [35,]  2  0  2  0  0  0  0  0  1  0  0  0  0  0  0  0
##   [36,]  2  0  1  1  0  0  0  0  1  0  0  0  0  0  0  0
##   [37,]  2  0  1  0  1  0  0  0  0  1  0  0  0  0  0  0
##   [38,]  2  0  1  0  0  1  0  0  0  1  0  0  0  0  0  0
##   [39,]  2  0  1  0  0  0  1  0  0  1  0  0  0  0  0  0
##   [40,]  2  0  1  0  0  0  0  1  0  1  0  0  0  0  0  0
##   [41,]  2  0  1  0  0  0  0  0  1  0  1  0  0  0  0  0
##   [42,]  2  0  1  0  0  0  0  0  0  1  1  0  0  0  0  0
##   [43,]  2  0  1  0  0  0  0  0  0  0  2  0  0  0  0  0
##   [44,]  2  0  1  0  0  0  0  0  0  0  1  1  0  0  0  0
##   [45,]  2  0  1  0  0  0  0  0  0  0  0  1  1  0  0  0
##   [46,]  2  0  1  0  0  0  0  0  0  0  0  1  0  1  0  0
##   [47,]  2  0  1  0  0  0  0  0  0  0  0  1  0  0  1  0
##   [48,]  2  0  1  0  0  0  0  0  0  0  0  1  0  0  0  1
##   [49,]  3  0  0  1  0  0  0  0  0  0  0  0  1  0  0  0
##   [50,]  2  1  0  1  0  0  0  0  0  0  0  0  1  0  0  0
##   [51,]  2  0  1  1  0  0  0  0  0  0  0  0  1  0  0  0
##   [52,]  2  0  0  2  0  0  0  0  0  0  0  0  1  0  0  0
##   [53,]  2  0  0  1  1  0  0  0  0  0  0  0  0  1  0  0
##   [54,]  2  0  0  1  0  1  0  0  0  0  0  0  0  1  0  0
##   [55,]  2  0  0  1  0  0  1  0  0  0  0  0  0  1  0  0
##   [56,]  2  0  0  1  0  0  0  1  0  0  0  0  0  1  0  0
##   [57,]  2  0  0  1  0  0  0  0  1  0  0  0  0  0  1  0
##   [58,]  2  0  0  1  0  0  0  0  0  1  0  0  0  0  1  0
##   [59,]  2  0  0  1  0  0  0  0  0  0  1  0  0  0  1  0
##   [60,]  2  0  0  1  0  0  0  0  0  0  0  1  0  0  1  0
##   [61,]  2  0  0  1  0  0  0  0  0  0  0  0  1  0  0  1
##   [62,]  2  0  0  1  0  0  0  0  0  0  0  0  0  1  0  1
##   [63,]  2  0  0  1  0  0  0  0  0  0  0  0  0  0  1  1
##   [64,]  2  0  0  1  0  0  0  0  0  0  0  0  0  0  0  2
##   [65,]  3  1  0  0  1  0  0  0  0  0  0  0  0  0  0  0
##   [66,]  2  2  0  0  1  0  0  0  0  0  0  0  0  0  0  0
##   [67,]  2  1  1  0  1  0  0  0  0  0  0  0  0  0  0  0
##   [68,]  2  1  0  1  1  0  0  0  0  0  0  0  0  0  0  0
##   [69,]  1  2  0  0  2  0  0  0  0  0  0  0  0  0  0  0
##   [70,]  1  2  0  0  1  1  0  0  0  0  0  0  0  0  0  0
##   [71,]  1  2  0  0  1  0  1  0  0  0  0  0  0  0  0  0
##   [72,]  1  2  0  0  1  0  0  1  0  0  0  0  0  0  0  0
##   [73,]  1  1  1  0  1  0  0  0  1  0  0  0  0  0  0  0
##   [74,]  1  1  1  0  1  0  0  0  0  1  0  0  0  0  0  0
##   [75,]  1  1  1  0  1  0  0  0  0  0  1  0  0  0  0  0
##   [76,]  1  1  1  0  1  0  0  0  0  0  0  1  0  0  0  0
##   [77,]  1  1  0  1  1  0  0  0  0  0  0  0  1  0  0  0
##   [78,]  1  1  0  1  1  0  0  0  0  0  0  0  0  1  0  0
##   [79,]  1  1  0  1  1  0  0  0  0  0  0  0  0  0  1  0
##   [80,]  1  1  0  1  1  0  0  0  0  0  0  0  0  0  0  1
##   [81,]  2  1  0  0  1  1  0  0  0  0  0  0  0  0  0  0
##   [82,]  1  2  0  0  1  1  0  0  0  0  0  0  0  0  0  0
##   [83,]  1  1  1  0  1  1  0  0  0  0  0  0  0  0  0  0
##   [84,]  1  1  0  1  1  1  0  0  0  0  0  0  0  0  0  0
##   [85,]  1  1  0  0  1  2  0  0  0  0  0  0  0  0  0  0
##   [86,]  1  1  0  0  0  3  0  0  0  0  0  0  0  0  0  0
##   [87,]  1  1  0  0  0  2  1  0  0  0  0  0  0  0  0  0
##   [88,]  1  1  0  0  0  2  0  1  0  0  0  0  0  0  0  0
##   [89,]  1  1  0  0  0  1  1  0  1  0  0  0  0  0  0  0
##   [90,]  1  1  0  0  0  1  1  0  0  1  0  0  0  0  0  0
##   [91,]  1  1  0  0  0  1  1  0  0  0  1  0  0  0  0  0
##   [92,]  1  1  0  0  0  1  1  0  0  0  0  1  0  0  0  0
##   [93,]  1  1  0  0  0  1  0  1  0  0  0  0  1  0  0  0
##   [94,]  1  1  0  0  0  1  0  1  0  0  0  0  0  1  0  0
##   [95,]  1  1  0  0  0  1  0  1  0  0  0  0  0  0  1  0
##   [96,]  1  1  0  0  0  1  0  1  0  0  0  0  0  0  0  1
##   [97,]  2  1  0  0  0  0  1  0  1  0  0  0  0  0  0  0
##   [98,]  1  2  0  0  0  0  1  0  1  0  0  0  0  0  0  0
##   [99,]  1  1  1  0  0  0  1  0  1  0  0  0  0  0  0  0
##  [100,]  1  1  0  1  0  0  1  0  1  0  0  0  0  0  0  0
##  [101,]  1  1  0  0  1  0  1  0  0  1  0  0  0  0  0  0
##  [102,]  1  1  0  0  0  1  1  0  0  1  0  0  0  0  0  0
##  [103,]  1  1  0  0  0  0  2  0  0  1  0  0  0  0  0  0
##  [104,]  1  1  0  0  0  0  1  1  0  1  0  0  0  0  0  0
##  [105,]  1  1  0  0  0  0  1  0  1  0  1  0  0  0  0  0
##  [106,]  1  1  0  0  0  0  1  0  0  1  1  0  0  0  0  0
##  [107,]  1  1  0  0  0  0  1  0  0  0  2  0  0  0  0  0
##  [108,]  1  1  0  0  0  0  1  0  0  0  1  1  0  0  0  0
##  [109,]  1  1  0  0  0  0  1  0  0  0  0  1  1  0  0  0
##  [110,]  1  1  0  0  0  0  1  0  0  0  0  1  0  1  0  0
##  [111,]  1  1  0  0  0  0  1  0  0  0  0  1  0  0  1  0
##  [112,]  1  1  0  0  0  0  1  0  0  0  0  1  0  0  0  1
##  [113,]  2  1  0  0  0  0  0  1  0  0  0  0  1  0  0  0
##  [114,]  1  2  0  0  0  0  0  1  0  0  0  0  1  0  0  0
##  [115,]  1  1  1  0  0  0  0  1  0  0  0  0  1  0  0  0
##  [116,]  1  1  0  1  0  0  0  1  0  0  0  0  1  0  0  0
##  [117,]  1  1  0  0  1  0  0  1  0  0  0  0  0  1  0  0
##  [118,]  1  1  0  0  0  1  0  1  0  0  0  0  0  1  0  0
##  [119,]  1  1  0  0  0  0  1  1  0  0  0  0  0  1  0  0
##  [120,]  1  1  0  0  0  0  0  2  0  0  0  0  0  1  0  0
##  [121,]  1  1  0  0  0  0  0  1  1  0  0  0  0  0  1  0
##  [122,]  1  1  0  0  0  0  0  1  0  1  0  0  0  0  1  0
##  [123,]  1  1  0  0  0  0  0  1  0  0  1  0  0  0  1  0
##  [124,]  1  1  0  0  0  0  0  1  0  0  0  1  0  0  1  0
##  [125,]  1  1  0  0  0  0  0  1  0  0  0  0  1  0  0  1
##  [126,]  1  1  0  0  0  0  0  1  0  0  0  0  0  1  0  1
##  [127,]  1  1  0  0  0  0  0  1  0  0  0  0  0  0  1  1
##  [128,]  1  1  0  0  0  0  0  1  0  0  0  0  0  0  0  2
##  [129,]  3  0  1  0  0  0  0  0  1  0  0  0  0  0  0  0
##  [130,]  2  1  1  0  0  0  0  0  1  0  0  0  0  0  0  0
##  [131,]  2  0  2  0  0  0  0  0  1  0  0  0  0  0  0  0
##  [132,]  2  0  1  1  0  0  0  0  1  0  0  0  0  0  0  0
##  [133,]  1  1  1  0  1  0  0  0  1  0  0  0  0  0  0  0
##  [134,]  1  1  1  0  0  1  0  0  1  0  0  0  0  0  0  0
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## [1090,]  1  2  0  0  2  0  0  0  0  0  0  0  0  0  0  0
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## [1092,]  1  1  0  1  2  0  0  0  0  0  0  0  0  0  0  0
## [1093,]  0  2  0  0  3  0  0  0  0  0  0  0  0  0  0  0
## [1094,]  0  2  0  0  2  1  0  0  0  0  0  0  0  0  0  0
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## [1104,]  0  1  0  1  2  0  0  0  0  0  0  0  0  0  0  1
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## [1106,]  0  2  0  0  2  1  0  0  0  0  0  0  0  0  0  0
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## [1112,]  0  1  0  0  1  2  0  1  0  0  0  0  0  0  0  0
## [1113,]  0  1  0  0  1  1  1  0  1  0  0  0  0  0  0  0
## [1114,]  0  1  0  0  1  1  1  0  0  1  0  0  0  0  0  0
## [1115,]  0  1  0  0  1  1  1  0  0  0  1  0  0  0  0  0
## [1116,]  0  1  0  0  1  1  1  0  0  0  0  1  0  0  0  0
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## [1118,]  0  1  0  0  1  1  0  1  0  0  0  0  0  1  0  0
## [1119,]  0  1  0  0  1  1  0  1  0  0  0  0  0  0  1  0
## [1120,]  0  1  0  0  1  1  0  1  0  0  0  0  0  0  0  1
## [1121,]  1  1  0  0  1  0  1  0  1  0  0  0  0  0  0  0
## [1122,]  0  2  0  0  1  0  1  0  1  0  0  0  0  0  0  0
## [1123,]  0  1  1  0  1  0  1  0  1  0  0  0  0  0  0  0
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## [1128,]  0  1  0  0  1  0  1  1  0  1  0  0  0  0  0  0
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## [1135,]  0  1  0  0  1  0  1  0  0  0  0  1  0  0  1  0
## [1136,]  0  1  0  0  1  0  1  0  0  0  0  1  0  0  0  1
## [1137,]  1  1  0  0  1  0  0  1  0  0  0  0  1  0  0  0
## [1138,]  0  2  0  0  1  0  0  1  0  0  0  0  1  0  0  0
## [1139,]  0  1  1  0  1  0  0  1  0  0  0  0  1  0  0  0
## [1140,]  0  1  0  1  1  0  0  1  0  0  0  0  1  0  0  0
## [1141,]  0  1  0  0  2  0  0  1  0  0  0  0  0  1  0  0
## [1142,]  0  1  0  0  1  1  0  1  0  0  0  0  0  1  0  0
## [1143,]  0  1  0  0  1  0  1  1  0  0  0  0  0  1  0  0
## [1144,]  0  1  0  0  1  0  0  2  0  0  0  0  0  1  0  0
## [1145,]  0  1  0  0  1  0  0  1  1  0  0  0  0  0  1  0
## [1146,]  0  1  0  0  1  0  0  1  0  1  0  0  0  0  1  0
## [1147,]  0  1  0  0  1  0  0  1  0  0  1  0  0  0  1  0
## [1148,]  0  1  0  0  1  0  0  1  0  0  0  1  0  0  1  0
## [1149,]  0  1  0  0  1  0  0  1  0  0  0  0  1  0  0  1
## [1150,]  0  1  0  0  1  0  0  1  0  0  0  0  0  1  0  1
## [1151,]  0  1  0  0  1  0  0  1  0  0  0  0  0  0  1  1
## [1152,]  0  1  0  0  1  0  0  1  0  0  0  0  0  0  0  2
## [1153,]  2  0  1  0  1  0  0  0  1  0  0  0  0  0  0  0
## [1154,]  1  1  1  0  1  0  0  0  1  0  0  0  0  0  0  0
## [1155,]  1  0  2  0  1  0  0  0  1  0  0  0  0  0  0  0
## [1156,]  1  0  1  1  1  0  0  0  1  0  0  0  0  0  0  0
## [1157,]  0  1  1  0  2  0  0  0  1  0  0  0  0  0  0  0
## [1158,]  0  1  1  0  1  1  0  0  1  0  0  0  0  0  0  0
## [1159,]  0  1  1  0  1  0  1  0  1  0  0  0  0  0  0  0
## [1160,]  0  1  1  0  1  0  0  1  1  0  0  0  0  0  0  0
## [1161,]  0  0  2  0  1  0  0  0  2  0  0  0  0  0  0  0
## [1162,]  0  0  2  0  1  0  0  0  1  1  0  0  0  0  0  0
## [1163,]  0  0  2  0  1  0  0  0  1  0  1  0  0  0  0  0
## [1164,]  0  0  2  0  1  0  0  0  1  0  0  1  0  0  0  0
## [1165,]  0  0  1  1  1  0  0  0  1  0  0  0  1  0  0  0
## [1166,]  0  0  1  1  1  0  0  0  1  0  0  0  0  1  0  0
## [1167,]  0  0  1  1  1  0  0  0  1  0  0  0  0  0  1  0
## [1168,]  0  0  1  1  1  0  0  0  1  0  0  0  0  0  0  1
## [1169,]  1  0  1  0  2  0  0  0  0  1  0  0  0  0  0  0
## [1170,]  0  1  1  0  2  0  0  0  0  1  0  0  0  0  0  0
## [1171,]  0  0  2  0  2  0  0  0  0  1  0  0  0  0  0  0
## [1172,]  0  0  1  1  2  0  0  0  0  1  0  0  0  0  0  0
## [1173,]  0  0  1  0  2  1  0  0  0  1  0  0  0  0  0  0
## [1174,]  0  0  1  0  1  2  0  0  0  1  0  0  0  0  0  0
## [1175,]  0  0  1  0  1  1  1  0  0  1  0  0  0  0  0  0
## [1176,]  0  0  1  0  1  1  0  1  0  1  0  0  0  0  0  0
## [1177,]  0  0  1  0  1  0  1  0  1  1  0  0  0  0  0  0
## [1178,]  0  0  1  0  1  0  1  0  0  2  0  0  0  0  0  0
## [1179,]  0  0  1  0  1  0  1  0  0  1  1  0  0  0  0  0
## [1180,]  0  0  1  0  1  0  1  0  0  1  0  1  0  0  0  0
## [1181,]  0  0  1  0  1  0  0  1  0  1  0  0  1  0  0  0
## [1182,]  0  0  1  0  1  0  0  1  0  1  0  0  0  1  0  0
## [1183,]  0  0  1  0  1  0  0  1  0  1  0  0  0  0  1  0
## [1184,]  0  0  1  0  1  0  0  1  0  1  0  0  0  0  0  1
## [1185,]  1  0  1  0  1  0  0  0  1  0  1  0  0  0  0  0
## [1186,]  0  1  1  0  1  0  0  0  1  0  1  0  0  0  0  0
## [1187,]  0  0  2  0  1  0  0  0  1  0  1  0  0  0  0  0
## [1188,]  0  0  1  1  1  0  0  0  1  0  1  0  0  0  0  0
## [1189,]  0  0  1  0  2  0  0  0  0  1  1  0  0  0  0  0
## [1190,]  0  0  1  0  1  1  0  0  0  1  1  0  0  0  0  0
## [1191,]  0  0  1  0  1  0  1  0  0  1  1  0  0  0  0  0
## [1192,]  0  0  1  0  1  0  0  1  0  1  1  0  0  0  0  0
## [1193,]  0  0  1  0  1  0  0  0  1  0  2  0  0  0  0  0
## [1194,]  0  0  1  0  1  0  0  0  0  1  2  0  0  0  0  0
## [1195,]  0  0  1  0  1  0  0  0  0  0  3  0  0  0  0  0
## [1196,]  0  0  1  0  1  0  0  0  0  0  2  1  0  0  0  0
## [1197,]  0  0  1  0  1  0  0  0  0  0  1  1  1  0  0  0
## [1198,]  0  0  1  0  1  0  0  0  0  0  1  1  0  1  0  0
## [1199,]  0  0  1  0  1  0  0  0  0  0  1  1  0  0  1  0
## [1200,]  0  0  1  0  1  0  0  0  0  0  1  1  0  0  0  1
## [1201,]  1  0  1  0  1  0  0  0  0  0  0  1  1  0  0  0
## [1202,]  0  1  1  0  1  0  0  0  0  0  0  1  1  0  0  0
## [1203,]  0  0  2  0  1  0  0  0  0  0  0  1  1  0  0  0
## [1204,]  0  0  1  1  1  0  0  0  0  0  0  1  1  0  0  0
## [1205,]  0  0  1  0  2  0  0  0  0  0  0  1  0  1  0  0
## [1206,]  0  0  1  0  1  1  0  0  0  0  0  1  0  1  0  0
## [1207,]  0  0  1  0  1  0  1  0  0  0  0  1  0  1  0  0
## [1208,]  0  0  1  0  1  0  0  1  0  0  0  1  0  1  0  0
## [1209,]  0  0  1  0  1  0  0  0  1  0  0  1  0  0  1  0
## [1210,]  0  0  1  0  1  0  0  0  0  1  0  1  0  0  1  0
## [1211,]  0  0  1  0  1  0  0  0  0  0  1  1  0  0  1  0
## [1212,]  0  0  1  0  1  0  0  0  0  0  0  2  0  0  1  0
## [1213,]  0  0  1  0  1  0  0  0  0  0  0  1  1  0  0  1
## [1214,]  0  0  1  0  1  0  0  0  0  0  0  1  0  1  0  1
## [1215,]  0  0  1  0  1  0  0  0  0  0  0  1  0  0  1  1
## [1216,]  0  0  1  0  1  0  0  0  0  0  0  1  0  0  0  2
## [1217,]  2  0  0  1  1  0  0  0  0  0  0  0  1  0  0  0
## [1218,]  1  1  0  1  1  0  0  0  0  0  0  0  1  0  0  0
## [1219,]  1  0  1  1  1  0  0  0  0  0  0  0  1  0  0  0
## [1220,]  1  0  0  2  1  0  0  0  0  0  0  0  1  0  0  0
## [1221,]  0  1  0  1  2  0  0  0  0  0  0  0  1  0  0  0
## [1222,]  0  1  0  1  1  1  0  0  0  0  0  0  1  0  0  0
## [1223,]  0  1  0  1  1  0  1  0  0  0  0  0  1  0  0  0
## [1224,]  0  1  0  1  1  0  0  1  0  0  0  0  1  0  0  0
## [1225,]  0  0  1  1  1  0  0  0  1  0  0  0  1  0  0  0
## [1226,]  0  0  1  1  1  0  0  0  0  1  0  0  1  0  0  0
## [1227,]  0  0  1  1  1  0  0  0  0  0  1  0  1  0  0  0
## [1228,]  0  0  1  1  1  0  0  0  0  0  0  1  1  0  0  0
## [1229,]  0  0  0  2  1  0  0  0  0  0  0  0  2  0  0  0
## [1230,]  0  0  0  2  1  0  0  0  0  0  0  0  1  1  0  0
## [1231,]  0  0  0  2  1  0  0  0  0  0  0  0  1  0  1  0
## [1232,]  0  0  0  2  1  0  0  0  0  0  0  0  1  0  0  1
## [1233,]  1  0  0  1  2  0  0  0  0  0  0  0  0  1  0  0
## [1234,]  0  1  0  1  2  0  0  0  0  0  0  0  0  1  0  0
## [1235,]  0  0  1  1  2  0  0  0  0  0  0  0  0  1  0  0
## [1236,]  0  0  0  2  2  0  0  0  0  0  0  0  0  1  0  0
## [1237,]  0  0  0  1  2  1  0  0  0  0  0  0  0  1  0  0
## [1238,]  0  0  0  1  1  2  0  0  0  0  0  0  0  1  0  0
## [1239,]  0  0  0  1  1  1  1  0  0  0  0  0  0  1  0  0
## [1240,]  0  0  0  1  1  1  0  1  0  0  0  0  0  1  0  0
## [1241,]  0  0  0  1  1  0  1  0  1  0  0  0  0  1  0  0
## [1242,]  0  0  0  1  1  0  1  0  0  1  0  0  0  1  0  0
## [1243,]  0  0  0  1  1  0  1  0  0  0  1  0  0  1  0  0
## [1244,]  0  0  0  1  1  0  1  0  0  0  0  1  0  1  0  0
## [1245,]  0  0  0  1  1  0  0  1  0  0  0  0  1  1  0  0
## [1246,]  0  0  0  1  1  0  0  1  0  0  0  0  0  2  0  0
## [1247,]  0  0  0  1  1  0  0  1  0  0  0  0  0  1  1  0
## [1248,]  0  0  0  1  1  0  0  1  0  0  0  0  0  1  0  1
## [1249,]  1  0  0  1  1  0  0  0  1  0  0  0  0  0  1  0
## [1250,]  0  1  0  1  1  0  0  0  1  0  0  0  0  0  1  0
## [1251,]  0  0  1  1  1  0  0  0  1  0  0  0  0  0  1  0
## [1252,]  0  0  0  2  1  0  0  0  1  0  0  0  0  0  1  0
## [1253,]  0  0  0  1  2  0  0  0  0  1  0  0  0  0  1  0
## [1254,]  0  0  0  1  1  1  0  0  0  1  0  0  0  0  1  0
## [1255,]  0  0  0  1  1  0  1  0  0  1  0  0  0  0  1  0
## [1256,]  0  0  0  1  1  0  0  1  0  1  0  0  0  0  1  0
## [1257,]  0  0  0  1  1  0  0  0  1  0  1  0  0  0  1  0
## [1258,]  0  0  0  1  1  0  0  0  0  1  1  0  0  0  1  0
## [1259,]  0  0  0  1  1  0  0  0  0  0  2  0  0  0  1  0
## [1260,]  0  0  0  1  1  0  0  0  0  0  1  1  0  0  1  0
## [1261,]  0  0  0  1  1  0  0  0  0  0  0  1  1  0  1  0
## [1262,]  0  0  0  1  1  0  0  0  0  0  0  1  0  1  1  0
## [1263,]  0  0  0  1  1  0  0  0  0  0  0  1  0  0  2  0
## [1264,]  0  0  0  1  1  0  0  0  0  0  0  1  0  0  1  1
## [1265,]  1  0  0  1  1  0  0  0  0  0  0  0  1  0  0  1
## [1266,]  0  1  0  1  1  0  0  0  0  0  0  0  1  0  0  1
## [1267,]  0  0  1  1  1  0  0  0  0  0  0  0  1  0  0  1
## [1268,]  0  0  0  2  1  0  0  0  0  0  0  0  1  0  0  1
## [1269,]  0  0  0  1  2  0  0  0  0  0  0  0  0  1  0  1
## [1270,]  0  0  0  1  1  1  0  0  0  0  0  0  0  1  0  1
## [1271,]  0  0  0  1  1  0  1  0  0  0  0  0  0  1  0  1
## [1272,]  0  0  0  1  1  0  0  1  0  0  0  0  0  1  0  1
## [1273,]  0  0  0  1  1  0  0  0  1  0  0  0  0  0  1  1
## [1274,]  0  0  0  1  1  0  0  0  0  1  0  0  0  0  1  1
## [1275,]  0  0  0  1  1  0  0  0  0  0  1  0  0  0  1  1
## [1276,]  0  0  0  1  1  0  0  0  0  0  0  1  0  0  1  1
## [1277,]  0  0  0  1  1  0  0  0  0  0  0  0  1  0  0  2
## [1278,]  0  0  0  1  1  0  0  0  0  0  0  0  0  1  0  2
## [1279,]  0  0  0  1  1  0  0  0  0  0  0  0  0  0  1  2
## [1280,]  0  0  0  1  1  0  0  0  0  0  0  0  0  0  0  3
## [1281,]  3  0  0  0  1  1  0  0  0  0  0  0  0  0  0  0
## [1282,]  2  1  0  0  1  1  0  0  0  0  0  0  0  0  0  0
## [1283,]  2  0  1  0  1  1  0  0  0  0  0  0  0  0  0  0
## [1284,]  2  0  0  1  1  1  0  0  0  0  0  0  0  0  0  0
## [1285,]  1  1  0  0  2  1  0  0  0  0  0  0  0  0  0  0
## [1286,]  1  1  0  0  1  2  0  0  0  0  0  0  0  0  0  0
## [1287,]  1  1  0  0  1  1  1  0  0  0  0  0  0  0  0  0
## [1288,]  1  1  0  0  1  1  0  1  0  0  0  0  0  0  0  0
## [1289,]  1  0  1  0  1  1  0  0  1  0  0  0  0  0  0  0
## [1290,]  1  0  1  0  1  1  0  0  0  1  0  0  0  0  0  0
## [1291,]  1  0  1  0  1  1  0  0  0  0  1  0  0  0  0  0
## [1292,]  1  0  1  0  1  1  0  0  0  0  0  1  0  0  0  0
## [1293,]  1  0  0  1  1  1  0  0  0  0  0  0  1  0  0  0
## [1294,]  1  0  0  1  1  1  0  0  0  0  0  0  0  1  0  0
## [1295,]  1  0  0  1  1  1  0  0  0  0  0  0  0  0  1  0
## [1296,]  1  0  0  1  1  1  0  0  0  0  0  0  0  0  0  1
## [1297,]  1  1  0  0  2  1  0  0  0  0  0  0  0  0  0  0
## [1298,]  0  2  0  0  2  1  0  0  0  0  0  0  0  0  0  0
## [1299,]  0  1  1  0  2  1  0  0  0  0  0  0  0  0  0  0
## [1300,]  0  1  0  1  2  1  0  0  0  0  0  0  0  0  0  0
## [1301,]  0  1  0  0  2  2  0  0  0  0  0  0  0  0  0  0
## [1302,]  0  1  0  0  1  3  0  0  0  0  0  0  0  0  0  0
## [1303,]  0  1  0  0  1  2  1  0  0  0  0  0  0  0  0  0
## [1304,]  0  1  0  0  1  2  0  1  0  0  0  0  0  0  0  0
## [1305,]  0  1  0  0  1  1  1  0  1  0  0  0  0  0  0  0
## [1306,]  0  1  0  0  1  1  1  0  0  1  0  0  0  0  0  0
## [1307,]  0  1  0  0  1  1  1  0  0  0  1  0  0  0  0  0
## [1308,]  0  1  0  0  1  1  1  0  0  0  0  1  0  0  0  0
## [1309,]  0  1  0  0  1  1  0  1  0  0  0  0  1  0  0  0
## [1310,]  0  1  0  0  1  1  0  1  0  0  0  0  0  1  0  0
## [1311,]  0  1  0  0  1  1  0  1  0  0  0  0  0  0  1  0
## [1312,]  0  1  0  0  1  1  0  1  0  0  0  0  0  0  0  1
## [1313,]  1  0  1  0  1  1  0  0  1  0  0  0  0  0  0  0
## [1314,]  0  1  1  0  1  1  0  0  1  0  0  0  0  0  0  0
## [1315,]  0  0  2  0  1  1  0  0  1  0  0  0  0  0  0  0
## [1316,]  0  0  1  1  1  1  0  0  1  0  0  0  0  0  0  0
## [1317,]  0  0  1  0  2  1  0  0  0  1  0  0  0  0  0  0
## [1318,]  0  0  1  0  1  2  0  0  0  1  0  0  0  0  0  0
## [1319,]  0  0  1  0  1  1  1  0  0  1  0  0  0  0  0  0
## [1320,]  0  0  1  0  1  1  0  1  0  1  0  0  0  0  0  0
## [1321,]  0  0  1  0  1  1  0  0  1  0  1  0  0  0  0  0
## [1322,]  0  0  1  0  1  1  0  0  0  1  1  0  0  0  0  0
## [1323,]  0  0  1  0  1  1  0  0  0  0  2  0  0  0  0  0
## [1324,]  0  0  1  0  1  1  0  0  0  0  1  1  0  0  0  0
## [1325,]  0  0  1  0  1  1  0  0  0  0  0  1  1  0  0  0
## [1326,]  0  0  1  0  1  1  0  0  0  0  0  1  0  1  0  0
## [1327,]  0  0  1  0  1  1  0  0  0  0  0  1  0  0  1  0
## [1328,]  0  0  1  0  1  1  0  0  0  0  0  1  0  0  0  1
## [1329,]  1  0  0  1  1  1  0  0  0  0  0  0  1  0  0  0
## [1330,]  0  1  0  1  1  1  0  0  0  0  0  0  1  0  0  0
## [1331,]  0  0  1  1  1  1  0  0  0  0  0  0  1  0  0  0
## [1332,]  0  0  0  2  1  1  0  0  0  0  0  0  1  0  0  0
## [1333,]  0  0  0  1  2  1  0  0  0  0  0  0  0  1  0  0
## [1334,]  0  0  0  1  1  2  0  0  0  0  0  0  0  1  0  0
## [1335,]  0  0  0  1  1  1  1  0  0  0  0  0  0  1  0  0
## [1336,]  0  0  0  1  1  1  0  1  0  0  0  0  0  1  0  0
## [1337,]  0  0  0  1  1  1  0  0  1  0  0  0  0  0  1  0
## [1338,]  0  0  0  1  1  1  0  0  0  1  0  0  0  0  1  0
## [1339,]  0  0  0  1  1  1  0  0  0  0  1  0  0  0  1  0
## [1340,]  0  0  0  1  1  1  0  0  0  0  0  1  0  0  1  0
## [1341,]  0  0  0  1  1  1  0  0  0  0  0  0  1  0  0  1
## [1342,]  0  0  0  1  1  1  0  0  0  0  0  0  0  1  0  1
## [1343,]  0  0  0  1  1  1  0  0  0  0  0  0  0  0  1  1
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## [1345,]  2  0  0  0  1  2  0  0  0  0  0  0  0  0  0  0
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## [1547,]  1  0  1  0  0  0  1  0  1  0  1  0  0  0  0  0
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## [1550,]  1  0  0  1  0  0  1  0  1  0  0  0  0  1  0  0
## [1551,]  1  0  0  1  0  0  1  0  1  0  0  0  0  0  1  0
## [1552,]  1  0  0  1  0  0  1  0  1  0  0  0  0  0  0  1
## [1553,]  1  1  0  0  1  0  1  0  1  0  0  0  0  0  0  0
## [1554,]  0  2  0  0  1  0  1  0  1  0  0  0  0  0  0  0
## [1555,]  0  1  1  0  1  0  1  0  1  0  0  0  0  0  0  0
## [1556,]  0  1  0  1  1  0  1  0  1  0  0  0  0  0  0  0
## [1557,]  0  1  0  0  1  1  1  0  1  0  0  0  0  0  0  0
## [1558,]  0  1  0  0  0  2  1  0  1  0  0  0  0  0  0  0
## [1559,]  0  1  0  0  0  1  2  0  1  0  0  0  0  0  0  0
## [1560,]  0  1  0  0  0  1  1  1  1  0  0  0  0  0  0  0
## [1561,]  0  1  0  0  0  0  2  0  2  0  0  0  0  0  0  0
## [1562,]  0  1  0  0  0  0  2  0  1  1  0  0  0  0  0  0
## [1563,]  0  1  0  0  0  0  2  0  1  0  1  0  0  0  0  0
## [1564,]  0  1  0  0  0  0  2  0  1  0  0  1  0  0  0  0
## [1565,]  0  1  0  0  0  0  1  1  1  0  0  0  1  0  0  0
## [1566,]  0  1  0  0  0  0  1  1  1  0  0  0  0  1  0  0
## [1567,]  0  1  0  0  0  0  1  1  1  0  0  0  0  0  1  0
## [1568,]  0  1  0  0  0  0  1  1  1  0  0  0  0  0  0  1
## [1569,]  1  0  1  0  0  0  1  0  2  0  0  0  0  0  0  0
## [1570,]  0  1  1  0  0  0  1  0  2  0  0  0  0  0  0  0
## [1571,]  0  0  2  0  0  0  1  0  2  0  0  0  0  0  0  0
## [1572,]  0  0  1  1  0  0  1  0  2  0  0  0  0  0  0  0
## [1573,]  0  0  1  0  1  0  1  0  1  1  0  0  0  0  0  0
## [1574,]  0  0  1  0  0  1  1  0  1  1  0  0  0  0  0  0
## [1575,]  0  0  1  0  0  0  2  0  1  1  0  0  0  0  0  0
## [1576,]  0  0  1  0  0  0  1  1  1  1  0  0  0  0  0  0
## [1577,]  0  0  1  0  0  0  1  0  2  0  1  0  0  0  0  0
## [1578,]  0  0  1  0  0  0  1  0  1  1  1  0  0  0  0  0
## [1579,]  0  0  1  0  0  0  1  0  1  0  2  0  0  0  0  0
## [1580,]  0  0  1  0  0  0  1  0  1  0  1  1  0  0  0  0
## [1581,]  0  0  1  0  0  0  1  0  1  0  0  1  1  0  0  0
## [1582,]  0  0  1  0  0  0  1  0  1  0  0  1  0  1  0  0
## [1583,]  0  0  1  0  0  0  1  0  1  0  0  1  0  0  1  0
## [1584,]  0  0  1  0  0  0  1  0  1  0  0  1  0  0  0  1
## [1585,]  1  0  0  1  0  0  1  0  1  0  0  0  1  0  0  0
## [1586,]  0  1  0  1  0  0  1  0  1  0  0  0  1  0  0  0
## [1587,]  0  0  1  1  0  0  1  0  1  0  0  0  1  0  0  0
## [1588,]  0  0  0  2  0  0  1  0  1  0  0  0  1  0  0  0
## [1589,]  0  0  0  1  1  0  1  0  1  0  0  0  0  1  0  0
## [1590,]  0  0  0  1  0  1  1  0  1  0  0  0  0  1  0  0
## [1591,]  0  0  0  1  0  0  2  0  1  0  0  0  0  1  0  0
## [1592,]  0  0  0  1  0  0  1  1  1  0  0  0  0  1  0  0
## [1593,]  0  0  0  1  0  0  1  0  2  0  0  0  0  0  1  0
## [1594,]  0  0  0  1  0  0  1  0  1  1  0  0  0  0  1  0
## [1595,]  0  0  0  1  0  0  1  0  1  0  1  0  0  0  1  0
## [1596,]  0  0  0  1  0  0  1  0  1  0  0  1  0  0  1  0
## [1597,]  0  0  0  1  0  0  1  0  1  0  0  0  1  0  0  1
## [1598,]  0  0  0  1  0  0  1  0  1  0  0  0  0  1  0  1
## [1599,]  0  0  0  1  0  0  1  0  1  0  0  0  0  0  1  1
## [1600,]  0  0  0  1  0  0  1  0  1  0  0  0  0  0  0  2
## [1601,]  2  0  0  0  1  0  1  0  0  1  0  0  0  0  0  0
## [1602,]  1  1  0  0  1  0  1  0  0  1  0  0  0  0  0  0
## [1603,]  1  0  1  0  1  0  1  0  0  1  0  0  0  0  0  0
## [1604,]  1  0  0  1  1  0  1  0  0  1  0  0  0  0  0  0
## [1605,]  0  1  0  0  2  0  1  0  0  1  0  0  0  0  0  0
## [1606,]  0  1  0  0  1  1  1  0  0  1  0  0  0  0  0  0
## [1607,]  0  1  0  0  1  0  2  0  0  1  0  0  0  0  0  0
## [1608,]  0  1  0  0  1  0  1  1  0  1  0  0  0  0  0  0
## [1609,]  0  0  1  0  1  0  1  0  1  1  0  0  0  0  0  0
## [1610,]  0  0  1  0  1  0  1  0  0  2  0  0  0  0  0  0
## [1611,]  0  0  1  0  1  0  1  0  0  1  1  0  0  0  0  0
## [1612,]  0  0  1  0  1  0  1  0  0  1  0  1  0  0  0  0
## [1613,]  0  0  0  1  1  0  1  0  0  1  0  0  1  0  0  0
## [1614,]  0  0  0  1  1  0  1  0  0  1  0  0  0  1  0  0
## [1615,]  0  0  0  1  1  0  1  0  0  1  0  0  0  0  1  0
## [1616,]  0  0  0  1  1  0  1  0  0  1  0  0  0  0  0  1
## [1617,]  1  0  0  0  1  1  1  0  0  1  0  0  0  0  0  0
## [1618,]  0  1  0  0  1  1  1  0  0  1  0  0  0  0  0  0
## [1619,]  0  0  1  0  1  1  1  0  0  1  0  0  0  0  0  0
## [1620,]  0  0  0  1  1  1  1  0  0  1  0  0  0  0  0  0
## [1621,]  0  0  0  0  1  2  1  0  0  1  0  0  0  0  0  0
## [1622,]  0  0  0  0  0  3  1  0  0  1  0  0  0  0  0  0
## [1623,]  0  0  0  0  0  2  2  0  0  1  0  0  0  0  0  0
## [1624,]  0  0  0  0  0  2  1  1  0  1  0  0  0  0  0  0
## [1625,]  0  0  0  0  0  1  2  0  1  1  0  0  0  0  0  0
## [1626,]  0  0  0  0  0  1  2  0  0  2  0  0  0  0  0  0
## [1627,]  0  0  0  0  0  1  2  0  0  1  1  0  0  0  0  0
## [1628,]  0  0  0  0  0  1  2  0  0  1  0  1  0  0  0  0
## [1629,]  0  0  0  0  0  1  1  1  0  1  0  0  1  0  0  0
## [1630,]  0  0  0  0  0  1  1  1  0  1  0  0  0  1  0  0
## [1631,]  0  0  0  0  0  1  1  1  0  1  0  0  0  0  1  0
## [1632,]  0  0  0  0  0  1  1  1  0  1  0  0  0  0  0  1
## [1633,]  1  0  0  0  0  0  2  0  1  1  0  0  0  0  0  0
## [1634,]  0  1  0  0  0  0  2  0  1  1  0  0  0  0  0  0
## [1635,]  0  0  1  0  0  0  2  0  1  1  0  0  0  0  0  0
## [1636,]  0  0  0  1  0  0  2  0  1  1  0  0  0  0  0  0
## [1637,]  0  0  0  0  1  0  2  0  0  2  0  0  0  0  0  0
## [1638,]  0  0  0  0  0  1  2  0  0  2  0  0  0  0  0  0
## [1639,]  0  0  0  0  0  0  3  0  0  2  0  0  0  0  0  0
## [1640,]  0  0  0  0  0  0  2  1  0  2  0  0  0  0  0  0
## [1641,]  0  0  0  0  0  0  2  0  1  1  1  0  0  0  0  0
## [1642,]  0  0  0  0  0  0  2  0  0  2  1  0  0  0  0  0
## [1643,]  0  0  0  0  0  0  2  0  0  1  2  0  0  0  0  0
## [1644,]  0  0  0  0  0  0  2  0  0  1  1  1  0  0  0  0
## [1645,]  0  0  0  0  0  0  2  0  0  1  0  1  1  0  0  0
## [1646,]  0  0  0  0  0  0  2  0  0  1  0  1  0  1  0  0
## [1647,]  0  0  0  0  0  0  2  0  0  1  0  1  0  0  1  0
## [1648,]  0  0  0  0  0  0  2  0  0  1  0  1  0  0  0  1
## [1649,]  1  0  0  0  0  0  1  1  0  1  0  0  1  0  0  0
## [1650,]  0  1  0  0  0  0  1  1  0  1  0  0  1  0  0  0
## [1651,]  0  0  1  0  0  0  1  1  0  1  0  0  1  0  0  0
## [1652,]  0  0  0  1  0  0  1  1  0  1  0  0  1  0  0  0
## [1653,]  0  0  0  0  1  0  1  1  0  1  0  0  0  1  0  0
## [1654,]  0  0  0  0  0  1  1  1  0  1  0  0  0  1  0  0
## [1655,]  0  0  0  0  0  0  2  1  0  1  0  0  0  1  0  0
## [1656,]  0  0  0  0  0  0  1  2  0  1  0  0  0  1  0  0
## [1657,]  0  0  0  0  0  0  1  1  1  1  0  0  0  0  1  0
## [1658,]  0  0  0  0  0  0  1  1  0  2  0  0  0  0  1  0
## [1659,]  0  0  0  0  0  0  1  1  0  1  1  0  0  0  1  0
## [1660,]  0  0  0  0  0  0  1  1  0  1  0  1  0  0  1  0
## [1661,]  0  0  0  0  0  0  1  1  0  1  0  0  1  0  0  1
## [1662,]  0  0  0  0  0  0  1  1  0  1  0  0  0  1  0  1
## [1663,]  0  0  0  0  0  0  1  1  0  1  0  0  0  0  1  1
## [1664,]  0  0  0  0  0  0  1  1  0  1  0  0  0  0  0  2
## [1665,]  2  0  0  0  0  0  1  0  1  0  1  0  0  0  0  0
## [1666,]  1  1  0  0  0  0  1  0  1  0  1  0  0  0  0  0
## [1667,]  1  0  1  0  0  0  1  0  1  0  1  0  0  0  0  0
## [1668,]  1  0  0  1  0  0  1  0  1  0  1  0  0  0  0  0
## [1669,]  0  1  0  0  1  0  1  0  1  0  1  0  0  0  0  0
## [1670,]  0  1  0  0  0  1  1  0  1  0  1  0  0  0  0  0
## [1671,]  0  1  0  0  0  0  2  0  1  0  1  0  0  0  0  0
## [1672,]  0  1  0  0  0  0  1  1  1  0  1  0  0  0  0  0
## [1673,]  0  0  1  0  0  0  1  0  2  0  1  0  0  0  0  0
## [1674,]  0  0  1  0  0  0  1  0  1  1  1  0  0  0  0  0
## [1675,]  0  0  1  0  0  0  1  0  1  0  2  0  0  0  0  0
## [1676,]  0  0  1  0  0  0  1  0  1  0  1  1  0  0  0  0
## [1677,]  0  0  0  1  0  0  1  0  1  0  1  0  1  0  0  0
## [1678,]  0  0  0  1  0  0  1  0  1  0  1  0  0  1  0  0
## [1679,]  0  0  0  1  0  0  1  0  1  0  1  0  0  0  1  0
## [1680,]  0  0  0  1  0  0  1  0  1  0  1  0  0  0  0  1
## [1681,]  1  0  0  0  1  0  1  0  0  1  1  0  0  0  0  0
## [1682,]  0  1  0  0  1  0  1  0  0  1  1  0  0  0  0  0
## [1683,]  0  0  1  0  1  0  1  0  0  1  1  0  0  0  0  0
## [1684,]  0  0  0  1  1  0  1  0  0  1  1  0  0  0  0  0
## [1685,]  0  0  0  0  1  1  1  0  0  1  1  0  0  0  0  0
## [1686,]  0  0  0  0  0  2  1  0  0  1  1  0  0  0  0  0
## [1687,]  0  0  0  0  0  1  2  0  0  1  1  0  0  0  0  0
## [1688,]  0  0  0  0  0  1  1  1  0  1  1  0  0  0  0  0
## [1689,]  0  0  0  0  0  0  2  0  1  1  1  0  0  0  0  0
## [1690,]  0  0  0  0  0  0  2  0  0  2  1  0  0  0  0  0
## [1691,]  0  0  0  0  0  0  2  0  0  1  2  0  0  0  0  0
## [1692,]  0  0  0  0  0  0  2  0  0  1  1  1  0  0  0  0
## [1693,]  0  0  0  0  0  0  1  1  0  1  1  0  1  0  0  0
## [1694,]  0  0  0  0  0  0  1  1  0  1  1  0  0  1  0  0
## [1695,]  0  0  0  0  0  0  1  1  0  1  1  0  0  0  1  0
## [1696,]  0  0  0  0  0  0  1  1  0  1  1  0  0  0  0  1
## [1697,]  1  0  0  0  0  0  1  0  1  0  2  0  0  0  0  0
## [1698,]  0  1  0  0  0  0  1  0  1  0  2  0  0  0  0  0
## [1699,]  0  0  1  0  0  0  1  0  1  0  2  0  0  0  0  0
## [1700,]  0  0  0  1  0  0  1  0  1  0  2  0  0  0  0  0
## [1701,]  0  0  0  0  1  0  1  0  0  1  2  0  0  0  0  0
## [1702,]  0  0  0  0  0  1  1  0  0  1  2  0  0  0  0  0
## [1703,]  0  0  0  0  0  0  2  0  0  1  2  0  0  0  0  0
## [1704,]  0  0  0  0  0  0  1  1  0  1  2  0  0  0  0  0
## [1705,]  0  0  0  0  0  0  1  0  1  0  3  0  0  0  0  0
## [1706,]  0  0  0  0  0  0  1  0  0  1  3  0  0  0  0  0
## [1707,]  0  0  0  0  0  0  1  0  0  0  4  0  0  0  0  0
## [1708,]  0  0  0  0  0  0  1  0  0  0  3  1  0  0  0  0
## [1709,]  0  0  0  0  0  0  1  0  0  0  2  1  1  0  0  0
## [1710,]  0  0  0  0  0  0  1  0  0  0  2  1  0  1  0  0
## [1711,]  0  0  0  0  0  0  1  0  0  0  2  1  0  0  1  0
## [1712,]  0  0  0  0  0  0  1  0  0  0  2  1  0  0  0  1
## [1713,]  1  0  0  0  0  0  1  0  0  0  1  1  1  0  0  0
## [1714,]  0  1  0  0  0  0  1  0  0  0  1  1  1  0  0  0
## [1715,]  0  0  1  0  0  0  1  0  0  0  1  1  1  0  0  0
## [1716,]  0  0  0  1  0  0  1  0  0  0  1  1  1  0  0  0
## [1717,]  0  0  0  0  1  0  1  0  0  0  1  1  0  1  0  0
## [1718,]  0  0  0  0  0  1  1  0  0  0  1  1  0  1  0  0
## [1719,]  0  0  0  0  0  0  2  0  0  0  1  1  0  1  0  0
## [1720,]  0  0  0  0  0  0  1  1  0  0  1  1  0  1  0  0
## [1721,]  0  0  0  0  0  0  1  0  1  0  1  1  0  0  1  0
## [1722,]  0  0  0  0  0  0  1  0  0  1  1  1  0  0  1  0
## [1723,]  0  0  0  0  0  0  1  0  0  0  2  1  0  0  1  0
## [1724,]  0  0  0  0  0  0  1  0  0  0  1  2  0  0  1  0
## [1725,]  0  0  0  0  0  0  1  0  0  0  1  1  1  0  0  1
## [1726,]  0  0  0  0  0  0  1  0  0  0  1  1  0  1  0  1
## [1727,]  0  0  0  0  0  0  1  0  0  0  1  1  0  0  1  1
## [1728,]  0  0  0  0  0  0  1  0  0  0  1  1  0  0  0  2
## [1729,]  2  0  0  0  0  0  1  0  0  0  0  1  1  0  0  0
## [1730,]  1  1  0  0  0  0  1  0  0  0  0  1  1  0  0  0
## [1731,]  1  0  1  0  0  0  1  0  0  0  0  1  1  0  0  0
## [1732,]  1  0  0  1  0  0  1  0  0  0  0  1  1  0  0  0
## [1733,]  0  1  0  0  1  0  1  0  0  0  0  1  1  0  0  0
## [1734,]  0  1  0  0  0  1  1  0  0  0  0  1  1  0  0  0
## [1735,]  0  1  0  0  0  0  2  0  0  0  0  1  1  0  0  0
## [1736,]  0  1  0  0  0  0  1  1  0  0  0  1  1  0  0  0
## [1737,]  0  0  1  0  0  0  1  0  1  0  0  1  1  0  0  0
## [1738,]  0  0  1  0  0  0  1  0  0  1  0  1  1  0  0  0
## [1739,]  0  0  1  0  0  0  1  0  0  0  1  1  1  0  0  0
## [1740,]  0  0  1  0  0  0  1  0  0  0  0  2  1  0  0  0
## [1741,]  0  0  0  1  0  0  1  0  0  0  0  1  2  0  0  0
## [1742,]  0  0  0  1  0  0  1  0  0  0  0  1  1  1  0  0
## [1743,]  0  0  0  1  0  0  1  0  0  0  0  1  1  0  1  0
## [1744,]  0  0  0  1  0  0  1  0  0  0  0  1  1  0  0  1
## [1745,]  1  0  0  0  1  0  1  0  0  0  0  1  0  1  0  0
## [1746,]  0  1  0  0  1  0  1  0  0  0  0  1  0  1  0  0
## [1747,]  0  0  1  0  1  0  1  0  0  0  0  1  0  1  0  0
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## [1749,]  0  0  0  0  1  1  1  0  0  0  0  1  0  1  0  0
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## [1803,]  1  0  1  0  0  0  0  1  0  0  1  0  1  0  0  0
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## [1808,]  1  0  0  1  0  0  0  1  0  0  0  0  1  0  0  1
## [1809,]  1  1  0  0  1  0  0  1  0  0  0  0  1  0  0  0
## [1810,]  0  2  0  0  1  0  0  1  0  0  0  0  1  0  0  0
## [1811,]  0  1  1  0  1  0  0  1  0  0  0  0  1  0  0  0
## [1812,]  0  1  0  1  1  0  0  1  0  0  0  0  1  0  0  0
## [1813,]  0  1  0  0  1  1  0  1  0  0  0  0  1  0  0  0
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## [1825,]  1  0  1  0  0  0  0  1  1  0  0  0  1  0  0  0
## [1826,]  0  1  1  0  0  0  0  1  1  0  0  0  1  0  0  0
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## [1859,]  1  0  1  0  1  0  0  1  0  0  0  0  0  1  0  0
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## [1871,]  0  0  0  1  1  0  0  1  0  0  0  0  0  1  1  0
## [1872,]  0  0  0  1  1  0  0  1  0  0  0  0  0  1  0  1
## [1873,]  1  0  0  0  1  1  0  1  0  0  0  0  0  1  0  0
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## [1875,]  0  0  1  0  1  1  0  1  0  0  0  0  0  1  0  0
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## [1878,]  0  0  0  0  0  3  0  1  0  0  0  0  0  1  0  0
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## [1883,]  0  0  0  0  0  1  1  1  0  0  1  0  0  1  0  0
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## [1888,]  0  0  0  0  0  1  0  2  0  0  0  0  0  1  0  1
## [1889,]  1  0  0  0  0  0  1  1  1  0  0  0  0  1  0  0
## [1890,]  0  1  0  0  0  0  1  1  1  0  0  0  0  1  0  0
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## [1892,]  0  0  0  1  0  0  1  1  1  0  0  0  0  1  0  0
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## [1902,]  0  0  0  0  0  0  1  1  0  0  0  1  0  2  0  0
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## [1904,]  0  0  0  0  0  0  1  1  0  0  0  1  0  1  0  1
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## [1921,]  2  0  0  0  0  0  0  1  1  0  0  0  0  0  1  0
## [1922,]  1  1  0  0  0  0  0  1  1  0  0  0  0  0  1  0
## [1923,]  1  0  1  0  0  0  0  1  1  0  0  0  0  0  1  0
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## [1925,]  0  1  0  0  1  0  0  1  1  0  0  0  0  0  1  0
## [1926,]  0  1  0  0  0  1  0  1  1  0  0  0  0  0  1  0
## [1927,]  0  1  0  0  0  0  1  1  1  0  0  0  0  0  1  0
## [1928,]  0  1  0  0  0  0  0  2  1  0  0  0  0  0  1  0
## [1929,]  0  0  1  0  0  0  0  1  2  0  0  0  0  0  1  0
## [1930,]  0  0  1  0  0  0  0  1  1  1  0  0  0  0  1  0
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## [1936,]  0  0  0  1  0  0  0  1  1  0  0  0  0  0  1  1
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## [1941,]  0  0  0  0  1  1  0  1  0  1  0  0  0  0  1  0
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## [1951,]  0  0  0  0  0  0  0  2  0  1  0  0  0  0  2  0
## [1952,]  0  0  0  0  0  0  0  2  0  1  0  0  0  0  1  1
## [1953,]  1  0  0  0  0  0  0  1  1  0  1  0  0  0  1  0
## [1954,]  0  1  0  0  0  0  0  1  1  0  1  0  0  0  1  0
## [1955,]  0  0  1  0  0  0  0  1  1  0  1  0  0  0  1  0
## [1956,]  0  0  0  1  0  0  0  1  1  0  1  0  0  0  1  0
## [1957,]  0  0  0  0  1  0  0  1  0  1  1  0  0  0  1  0
## [1958,]  0  0  0  0  0  1  0  1  0  1  1  0  0  0  1  0
## [1959,]  0  0  0  0  0  0  1  1  0  1  1  0  0  0  1  0
## [1960,]  0  0  0  0  0  0  0  2  0  1  1  0  0  0  1  0
## [1961,]  0  0  0  0  0  0  0  1  1  0  2  0  0  0  1  0
## [1962,]  0  0  0  0  0  0  0  1  0  1  2  0  0  0  1  0
## [1963,]  0  0  0  0  0  0  0  1  0  0  3  0  0  0  1  0
## [1964,]  0  0  0  0  0  0  0  1  0  0  2  1  0  0  1  0
## [1965,]  0  0  0  0  0  0  0  1  0  0  1  1  1  0  1  0
## [1966,]  0  0  0  0  0  0  0  1  0  0  1  1  0  1  1  0
## [1967,]  0  0  0  0  0  0  0  1  0  0  1  1  0  0  2  0
## [1968,]  0  0  0  0  0  0  0  1  0  0  1  1  0  0  1  1
## [1969,]  1  0  0  0  0  0  0  1  0  0  0  1  1  0  1  0
## [1970,]  0  1  0  0  0  0  0  1  0  0  0  1  1  0  1  0
## [1971,]  0  0  1  0  0  0  0  1  0  0  0  1  1  0  1  0
## [1972,]  0  0  0  1  0  0  0  1  0  0  0  1  1  0  1  0
## [1973,]  0  0  0  0  1  0  0  1  0  0  0  1  0  1  1  0
## [1974,]  0  0  0  0  0  1  0  1  0  0  0  1  0  1  1  0
## [1975,]  0  0  0  0  0  0  1  1  0  0  0  1  0  1  1  0
## [1976,]  0  0  0  0  0  0  0  2  0  0  0  1  0  1  1  0
## [1977,]  0  0  0  0  0  0  0  1  1  0  0  1  0  0  2  0
## [1978,]  0  0  0  0  0  0  0  1  0  1  0  1  0  0  2  0
## [1979,]  0  0  0  0  0  0  0  1  0  0  1  1  0  0  2  0
## [1980,]  0  0  0  0  0  0  0  1  0  0  0  2  0  0  2  0
## [1981,]  0  0  0  0  0  0  0  1  0  0  0  1  1  0  1  1
## [1982,]  0  0  0  0  0  0  0  1  0  0  0  1  0  1  1  1
## [1983,]  0  0  0  0  0  0  0  1  0  0  0  1  0  0  2  1
## [1984,]  0  0  0  0  0  0  0  1  0  0  0  1  0  0  1  2
## [1985,]  2  0  0  0  0  0  0  1  0  0  0  0  1  0  0  1
## [1986,]  1  1  0  0  0  0  0  1  0  0  0  0  1  0  0  1
## [1987,]  1  0  1  0  0  0  0  1  0  0  0  0  1  0  0  1
## [1988,]  1  0  0  1  0  0  0  1  0  0  0  0  1  0  0  1
## [1989,]  0  1  0  0  1  0  0  1  0  0  0  0  1  0  0  1
## [1990,]  0  1  0  0  0  1  0  1  0  0  0  0  1  0  0  1
## [1991,]  0  1  0  0  0  0  1  1  0  0  0  0  1  0  0  1
## [1992,]  0  1  0  0  0  0  0  2  0  0  0  0  1  0  0  1
## [1993,]  0  0  1  0  0  0  0  1  1  0  0  0  1  0  0  1
## [1994,]  0  0  1  0  0  0  0  1  0  1  0  0  1  0  0  1
## [1995,]  0  0  1  0  0  0  0  1  0  0  1  0  1  0  0  1
## [1996,]  0  0  1  0  0  0  0  1  0  0  0  1  1  0  0  1
## [1997,]  0  0  0  1  0  0  0  1  0  0  0  0  2  0  0  1
## [1998,]  0  0  0  1  0  0  0  1  0  0  0  0  1  1  0  1
## [1999,]  0  0  0  1  0  0  0  1  0  0  0  0  1  0  1  1
## [2000,]  0  0  0  1  0  0  0  1  0  0  0  0  1  0  0  2
## [2001,]  1  0  0  0  1  0  0  1  0  0  0  0  0  1  0  1
## [2002,]  0  1  0  0  1  0  0  1  0  0  0  0  0  1  0  1
## [2003,]  0  0  1  0  1  0  0  1  0  0  0  0  0  1  0  1
## [2004,]  0  0  0  1  1  0  0  1  0  0  0  0  0  1  0  1
## [2005,]  0  0  0  0  1  1  0  1  0  0  0  0  0  1  0  1
## [2006,]  0  0  0  0  0  2  0  1  0  0  0  0  0  1  0  1
## [2007,]  0  0  0  0  0  1  1  1  0  0  0  0  0  1  0  1
## [2008,]  0  0  0  0  0  1  0  2  0  0  0  0  0  1  0  1
## [2009,]  0  0  0  0  0  0  1  1  1  0  0  0  0  1  0  1
## [2010,]  0  0  0  0  0  0  1  1  0  1  0  0  0  1  0  1
## [2011,]  0  0  0  0  0  0  1  1  0  0  1  0  0  1  0  1
## [2012,]  0  0  0  0  0  0  1  1  0  0  0  1  0  1  0  1
## [2013,]  0  0  0  0  0  0  0  2  0  0  0  0  1  1  0  1
## [2014,]  0  0  0  0  0  0  0  2  0  0  0  0  0  2  0  1
## [2015,]  0  0  0  0  0  0  0  2  0  0  0  0  0  1  1  1
## [2016,]  0  0  0  0  0  0  0  2  0  0  0  0  0  1  0  2
## [2017,]  1  0  0  0  0  0  0  1  1  0  0  0  0  0  1  1
## [2018,]  0  1  0  0  0  0  0  1  1  0  0  0  0  0  1  1
## [2019,]  0  0  1  0  0  0  0  1  1  0  0  0  0  0  1  1
## [2020,]  0  0  0  1  0  0  0  1  1  0  0  0  0  0  1  1
## [2021,]  0  0  0  0  1  0  0  1  0  1  0  0  0  0  1  1
## [2022,]  0  0  0  0  0  1  0  1  0  1  0  0  0  0  1  1
## [2023,]  0  0  0  0  0  0  1  1  0  1  0  0  0  0  1  1
## [2024,]  0  0  0  0  0  0  0  2  0  1  0  0  0  0  1  1
## [2025,]  0  0  0  0  0  0  0  1  1  0  1  0  0  0  1  1
## [2026,]  0  0  0  0  0  0  0  1  0  1  1  0  0  0  1  1
## [2027,]  0  0  0  0  0  0  0  1  0  0  2  0  0  0  1  1
## [2028,]  0  0  0  0  0  0  0  1  0  0  1  1  0  0  1  1
## [2029,]  0  0  0  0  0  0  0  1  0  0  0  1  1  0  1  1
## [2030,]  0  0  0  0  0  0  0  1  0  0  0  1  0  1  1  1
## [2031,]  0  0  0  0  0  0  0  1  0  0  0  1  0  0  2  1
## [2032,]  0  0  0  0  0  0  0  1  0  0  0  1  0  0  1  2
## [2033,]  1  0  0  0  0  0  0  1  0  0  0  0  1  0  0  2
## [2034,]  0  1  0  0  0  0  0  1  0  0  0  0  1  0  0  2
## [2035,]  0  0  1  0  0  0  0  1  0  0  0  0  1  0  0  2
## [2036,]  0  0  0  1  0  0  0  1  0  0  0  0  1  0  0  2
## [2037,]  0  0  0  0  1  0  0  1  0  0  0  0  0  1  0  2
## [2038,]  0  0  0  0  0  1  0  1  0  0  0  0  0  1  0  2
## [2039,]  0  0  0  0  0  0  1  1  0  0  0  0  0  1  0  2
## [2040,]  0  0  0  0  0  0  0  2  0  0  0  0  0  1  0  2
## [2041,]  0  0  0  0  0  0  0  1  1  0  0  0  0  0  1  2
## [2042,]  0  0  0  0  0  0  0  1  0  1  0  0  0  0  1  2
## [2043,]  0  0  0  0  0  0  0  1  0  0  1  0  0  0  1  2
## [2044,]  0  0  0  0  0  0  0  1  0  0  0  1  0  0  1  2
## [2045,]  0  0  0  0  0  0  0  1  0  0  0  0  1  0  0  3
## [2046,]  0  0  0  0  0  0  0  1  0  0  0  0  0  1  0  3
## [2047,]  0  0  0  0  0  0  0  1  0  0  0  0  0  0  1  3
## [2048,]  0  0  0  0  0  0  0  1  0  0  0  0  0  0  0  4
## [2049,]  4  0  0  0  0  0  0  0  1  0  0  0  0  0  0  0
## [2050,]  3  1  0  0  0  0  0  0  1  0  0  0  0  0  0  0
## [2051,]  3  0  1  0  0  0  0  0  1  0  0  0  0  0  0  0
## [2052,]  3  0  0  1  0  0  0  0  1  0  0  0  0  0  0  0
## [2053,]  2  1  0  0  1  0  0  0  1  0  0  0  0  0  0  0
## [2054,]  2  1  0  0  0  1  0  0  1  0  0  0  0  0  0  0
## [2055,]  2  1  0  0  0  0  1  0  1  0  0  0  0  0  0  0
## [2056,]  2  1  0  0  0  0  0  1  1  0  0  0  0  0  0  0
## [2057,]  2  0  1  0  0  0  0  0  2  0  0  0  0  0  0  0
## [2058,]  2  0  1  0  0  0  0  0  1  1  0  0  0  0  0  0
## [2059,]  2  0  1  0  0  0  0  0  1  0  1  0  0  0  0  0
## [2060,]  2  0  1  0  0  0  0  0  1  0  0  1  0  0  0  0
## [2061,]  2  0  0  1  0  0  0  0  1  0  0  0  1  0  0  0
## [2062,]  2  0  0  1  0  0  0  0  1  0  0  0  0  1  0  0
## [2063,]  2  0  0  1  0  0  0  0  1  0  0  0  0  0  1  0
## [2064,]  2  0  0  1  0  0  0  0  1  0  0  0  0  0  0  1
## [2065,]  2  1  0  0  1  0  0  0  1  0  0  0  0  0  0  0
## [2066,]  1  2  0  0  1  0  0  0  1  0  0  0  0  0  0  0
## [2067,]  1  1  1  0  1  0  0  0  1  0  0  0  0  0  0  0
## [2068,]  1  1  0  1  1  0  0  0  1  0  0  0  0  0  0  0
## [2069,]  1  1  0  0  1  1  0  0  1  0  0  0  0  0  0  0
## [2070,]  1  1  0  0  0  2  0  0  1  0  0  0  0  0  0  0
## [2071,]  1  1  0  0  0  1  1  0  1  0  0  0  0  0  0  0
## [2072,]  1  1  0  0  0  1  0  1  1  0  0  0  0  0  0  0
## [2073,]  1  1  0  0  0  0  1  0  2  0  0  0  0  0  0  0
## [2074,]  1  1  0  0  0  0  1  0  1  1  0  0  0  0  0  0
## [2075,]  1  1  0  0  0  0  1  0  1  0  1  0  0  0  0  0
## [2076,]  1  1  0  0  0  0  1  0  1  0  0  1  0  0  0  0
## [2077,]  1  1  0  0  0  0  0  1  1  0  0  0  1  0  0  0
## [2078,]  1  1  0  0  0  0  0  1  1  0  0  0  0  1  0  0
## [2079,]  1  1  0  0  0  0  0  1  1  0  0  0  0  0  1  0
## [2080,]  1  1  0  0  0  0  0  1  1  0  0  0  0  0  0  1
## [2081,]  2  0  1  0  0  0  0  0  2  0  0  0  0  0  0  0
## [2082,]  1  1  1  0  0  0  0  0  2  0  0  0  0  0  0  0
## [2083,]  1  0  2  0  0  0  0  0  2  0  0  0  0  0  0  0
## [2084,]  1  0  1  1  0  0  0  0  2  0  0  0  0  0  0  0
## [2085,]  1  0  1  0  1  0  0  0  1  1  0  0  0  0  0  0
## [2086,]  1  0  1  0  0  1  0  0  1  1  0  0  0  0  0  0
## [2087,]  1  0  1  0  0  0  1  0  1  1  0  0  0  0  0  0
## [2088,]  1  0  1  0  0  0  0  1  1  1  0  0  0  0  0  0
## [2089,]  1  0  1  0  0  0  0  0  2  0  1  0  0  0  0  0
## [2090,]  1  0  1  0  0  0  0  0  1  1  1  0  0  0  0  0
## [2091,]  1  0  1  0  0  0  0  0  1  0  2  0  0  0  0  0
## [2092,]  1  0  1  0  0  0  0  0  1  0  1  1  0  0  0  0
## [2093,]  1  0  1  0  0  0  0  0  1  0  0  1  1  0  0  0
## [2094,]  1  0  1  0  0  0  0  0  1  0  0  1  0  1  0  0
## [2095,]  1  0  1  0  0  0  0  0  1  0  0  1  0  0  1  0
## [2096,]  1  0  1  0  0  0  0  0  1  0  0  1  0  0  0  1
## [2097,]  2  0  0  1  0  0  0  0  1  0  0  0  1  0  0  0
## [2098,]  1  1  0  1  0  0  0  0  1  0  0  0  1  0  0  0
## [2099,]  1  0  1  1  0  0  0  0  1  0  0  0  1  0  0  0
## [2100,]  1  0  0  2  0  0  0  0  1  0  0  0  1  0  0  0
## [2101,]  1  0  0  1  1  0  0  0  1  0  0  0  0  1  0  0
## [2102,]  1  0  0  1  0  1  0  0  1  0  0  0  0  1  0  0
## [2103,]  1  0  0  1  0  0  1  0  1  0  0  0  0  1  0  0
## [2104,]  1  0  0  1  0  0  0  1  1  0  0  0  0  1  0  0
## [2105,]  1  0  0  1  0  0  0  0  2  0  0  0  0  0  1  0
## [2106,]  1  0  0  1  0  0  0  0  1  1  0  0  0  0  1  0
## [2107,]  1  0  0  1  0  0  0  0  1  0  1  0  0  0  1  0
## [2108,]  1  0  0  1  0  0  0  0  1  0  0  1  0  0  1  0
## [2109,]  1  0  0  1  0  0  0  0  1  0  0  0  1  0  0  1
## [2110,]  1  0  0  1  0  0  0  0  1  0  0  0  0  1  0  1
## [2111,]  1  0  0  1  0  0  0  0  1  0  0  0  0  0  1  1
## [2112,]  1  0  0  1  0  0  0  0  1  0  0  0  0  0  0  2
## [2113,]  2  1  0  0  1  0  0  0  1  0  0  0  0  0  0  0
## [2114,]  1  2  0  0  1  0  0  0  1  0  0  0  0  0  0  0
## [2115,]  1  1  1  0  1  0  0  0  1  0  0  0  0  0  0  0
## [2116,]  1  1  0  1  1  0  0  0  1  0  0  0  0  0  0  0
## [2117,]  0  2  0  0  2  0  0  0  1  0  0  0  0  0  0  0
## [2118,]  0  2  0  0  1  1  0  0  1  0  0  0  0  0  0  0
## [2119,]  0  2  0  0  1  0  1  0  1  0  0  0  0  0  0  0
## [2120,]  0  2  0  0  1  0  0  1  1  0  0  0  0  0  0  0
## [2121,]  0  1  1  0  1  0  0  0  2  0  0  0  0  0  0  0
## [2122,]  0  1  1  0  1  0  0  0  1  1  0  0  0  0  0  0
## [2123,]  0  1  1  0  1  0  0  0  1  0  1  0  0  0  0  0
## [2124,]  0  1  1  0  1  0  0  0  1  0  0  1  0  0  0  0
## [2125,]  0  1  0  1  1  0  0  0  1  0  0  0  1  0  0  0
## [2126,]  0  1  0  1  1  0  0  0  1  0  0  0  0  1  0  0
## [2127,]  0  1  0  1  1  0  0  0  1  0  0  0  0  0  1  0
## [2128,]  0  1  0  1  1  0  0  0  1  0  0  0  0  0  0  1
## [2129,]  1  1  0  0  1  1  0  0  1  0  0  0  0  0  0  0
## [2130,]  0  2  0  0  1  1  0  0  1  0  0  0  0  0  0  0
## [2131,]  0  1  1  0  1  1  0  0  1  0  0  0  0  0  0  0
## [2132,]  0  1  0  1  1  1  0  0  1  0  0  0  0  0  0  0
## [2133,]  0  1  0  0  1  2  0  0  1  0  0  0  0  0  0  0
## [2134,]  0  1  0  0  0  3  0  0  1  0  0  0  0  0  0  0
## [2135,]  0  1  0  0  0  2  1  0  1  0  0  0  0  0  0  0
## [2136,]  0  1  0  0  0  2  0  1  1  0  0  0  0  0  0  0
## [2137,]  0  1  0  0  0  1  1  0  2  0  0  0  0  0  0  0
## [2138,]  0  1  0  0  0  1  1  0  1  1  0  0  0  0  0  0
## [2139,]  0  1  0  0  0  1  1  0  1  0  1  0  0  0  0  0
## [2140,]  0  1  0  0  0  1  1  0  1  0  0  1  0  0  0  0
## [2141,]  0  1  0  0  0  1  0  1  1  0  0  0  1  0  0  0
## [2142,]  0  1  0  0  0  1  0  1  1  0  0  0  0  1  0  0
## [2143,]  0  1  0  0  0  1  0  1  1  0  0  0  0  0  1  0
## [2144,]  0  1  0  0  0  1  0  1  1  0  0  0  0  0  0  1
## [2145,]  1  1  0  0  0  0  1  0  2  0  0  0  0  0  0  0
## [2146,]  0  2  0  0  0  0  1  0  2  0  0  0  0  0  0  0
## [2147,]  0  1  1  0  0  0  1  0  2  0  0  0  0  0  0  0
## [2148,]  0  1  0  1  0  0  1  0  2  0  0  0  0  0  0  0
## [2149,]  0  1  0  0  1  0  1  0  1  1  0  0  0  0  0  0
## [2150,]  0  1  0  0  0  1  1  0  1  1  0  0  0  0  0  0
## [2151,]  0  1  0  0  0  0  2  0  1  1  0  0  0  0  0  0
## [2152,]  0  1  0  0  0  0  1  1  1  1  0  0  0  0  0  0
## [2153,]  0  1  0  0  0  0  1  0  2  0  1  0  0  0  0  0
## [2154,]  0  1  0  0  0  0  1  0  1  1  1  0  0  0  0  0
## [2155,]  0  1  0  0  0  0  1  0  1  0  2  0  0  0  0  0
## [2156,]  0  1  0  0  0  0  1  0  1  0  1  1  0  0  0  0
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## [2560,]  0  0  0  0  0  0  0  1  0  1  0  0  0  0  0  3
## [2561,]  3  0  0  0  0  0  0  0  1  0  1  0  0  0  0  0
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## [2563,]  2  0  1  0  0  0  0  0  1  0  1  0  0  0  0  0
## [2564,]  2  0  0  1  0  0  0  0  1  0  1  0  0  0  0  0
## [2565,]  1  1  0  0  1  0  0  0  1  0  1  0  0  0  0  0
## [2566,]  1  1  0  0  0  1  0  0  1  0  1  0  0  0  0  0
## [2567,]  1  1  0  0  0  0  1  0  1  0  1  0  0  0  0  0
## [2568,]  1  1  0  0  0  0  0  1  1  0  1  0  0  0  0  0
## [2569,]  1  0  1  0  0  0  0  0  2  0  1  0  0  0  0  0
## [2570,]  1  0  1  0  0  0  0  0  1  1  1  0  0  0  0  0
## [2571,]  1  0  1  0  0  0  0  0  1  0  2  0  0  0  0  0
## [2572,]  1  0  1  0  0  0  0  0  1  0  1  1  0  0  0  0
## [2573,]  1  0  0  1  0  0  0  0  1  0  1  0  1  0  0  0
## [2574,]  1  0  0  1  0  0  0  0  1  0  1  0  0  1  0  0
## [2575,]  1  0  0  1  0  0  0  0  1  0  1  0  0  0  1  0
## [2576,]  1  0  0  1  0  0  0  0  1  0  1  0  0  0  0  1
## [2577,]  1  1  0  0  1  0  0  0  1  0  1  0  0  0  0  0
## [2578,]  0  2  0  0  1  0  0  0  1  0  1  0  0  0  0  0
## [2579,]  0  1  1  0  1  0  0  0  1  0  1  0  0  0  0  0
## [2580,]  0  1  0  1  1  0  0  0  1  0  1  0  0  0  0  0
## [2581,]  0  1  0  0  1  1  0  0  1  0  1  0  0  0  0  0
## [2582,]  0  1  0  0  0  2  0  0  1  0  1  0  0  0  0  0
## [2583,]  0  1  0  0  0  1  1  0  1  0  1  0  0  0  0  0
## [2584,]  0  1  0  0  0  1  0  1  1  0  1  0  0  0  0  0
## [2585,]  0  1  0  0  0  0  1  0  2  0  1  0  0  0  0  0
## [2586,]  0  1  0  0  0  0  1  0  1  1  1  0  0  0  0  0
## [2587,]  0  1  0  0  0  0  1  0  1  0  2  0  0  0  0  0
## [2588,]  0  1  0  0  0  0  1  0  1  0  1  1  0  0  0  0
## [2589,]  0  1  0  0  0  0  0  1  1  0  1  0  1  0  0  0
## [2590,]  0  1  0  0  0  0  0  1  1  0  1  0  0  1  0  0
## [2591,]  0  1  0  0  0  0  0  1  1  0  1  0  0  0  1  0
## [2592,]  0  1  0  0  0  0  0  1  1  0  1  0  0  0  0  1
## [2593,]  1  0  1  0  0  0  0  0  2  0  1  0  0  0  0  0
## [2594,]  0  1  1  0  0  0  0  0  2  0  1  0  0  0  0  0
## [2595,]  0  0  2  0  0  0  0  0  2  0  1  0  0  0  0  0
## [2596,]  0  0  1  1  0  0  0  0  2  0  1  0  0  0  0  0
## [2597,]  0  0  1  0  1  0  0  0  1  1  1  0  0  0  0  0
## [2598,]  0  0  1  0  0  1  0  0  1  1  1  0  0  0  0  0
## [2599,]  0  0  1  0  0  0  1  0  1  1  1  0  0  0  0  0
## [2600,]  0  0  1  0  0  0  0  1  1  1  1  0  0  0  0  0
## [2601,]  0  0  1  0  0  0  0  0  2  0  2  0  0  0  0  0
## [2602,]  0  0  1  0  0  0  0  0  1  1  2  0  0  0  0  0
## [2603,]  0  0  1  0  0  0  0  0  1  0  3  0  0  0  0  0
## [2604,]  0  0  1  0  0  0  0  0  1  0  2  1  0  0  0  0
## [2605,]  0  0  1  0  0  0  0  0  1  0  1  1  1  0  0  0
## [2606,]  0  0  1  0  0  0  0  0  1  0  1  1  0  1  0  0
## [2607,]  0  0  1  0  0  0  0  0  1  0  1  1  0  0  1  0
## [2608,]  0  0  1  0  0  0  0  0  1  0  1  1  0  0  0  1
## [2609,]  1  0  0  1  0  0  0  0  1  0  1  0  1  0  0  0
## [2610,]  0  1  0  1  0  0  0  0  1  0  1  0  1  0  0  0
## [2611,]  0  0  1  1  0  0  0  0  1  0  1  0  1  0  0  0
## [2612,]  0  0  0  2  0  0  0  0  1  0  1  0  1  0  0  0
## [2613,]  0  0  0  1  1  0  0  0  1  0  1  0  0  1  0  0
## [2614,]  0  0  0  1  0  1  0  0  1  0  1  0  0  1  0  0
## [2615,]  0  0  0  1  0  0  1  0  1  0  1  0  0  1  0  0
## [2616,]  0  0  0  1  0  0  0  1  1  0  1  0  0  1  0  0
## [2617,]  0  0  0  1  0  0  0  0  2  0  1  0  0  0  1  0
## [2618,]  0  0  0  1  0  0  0  0  1  1  1  0  0  0  1  0
## [2619,]  0  0  0  1  0  0  0  0  1  0  2  0  0  0  1  0
## [2620,]  0  0  0  1  0  0  0  0  1  0  1  1  0  0  1  0
## [2621,]  0  0  0  1  0  0  0  0  1  0  1  0  1  0  0  1
## [2622,]  0  0  0  1  0  0  0  0  1  0  1  0  0  1  0  1
## [2623,]  0  0  0  1  0  0  0  0  1  0  1  0  0  0  1  1
## [2624,]  0  0  0  1  0  0  0  0  1  0  1  0  0  0  0  2
## [2625,]  2  0  0  0  1  0  0  0  0  1  1  0  0  0  0  0
## [2626,]  1  1  0  0  1  0  0  0  0  1  1  0  0  0  0  0
## [2627,]  1  0  1  0  1  0  0  0  0  1  1  0  0  0  0  0
## [2628,]  1  0  0  1  1  0  0  0  0  1  1  0  0  0  0  0
## [2629,]  0  1  0  0  2  0  0  0  0  1  1  0  0  0  0  0
## [2630,]  0  1  0  0  1  1  0  0  0  1  1  0  0  0  0  0
## [2631,]  0  1  0  0  1  0  1  0  0  1  1  0  0  0  0  0
## [2632,]  0  1  0  0  1  0  0  1  0  1  1  0  0  0  0  0
## [2633,]  0  0  1  0  1  0  0  0  1  1  1  0  0  0  0  0
## [2634,]  0  0  1  0  1  0  0  0  0  2  1  0  0  0  0  0
## [2635,]  0  0  1  0  1  0  0  0  0  1  2  0  0  0  0  0
## [2636,]  0  0  1  0  1  0  0  0  0  1  1  1  0  0  0  0
## [2637,]  0  0  0  1  1  0  0  0  0  1  1  0  1  0  0  0
## [2638,]  0  0  0  1  1  0  0  0  0  1  1  0  0  1  0  0
## [2639,]  0  0  0  1  1  0  0  0  0  1  1  0  0  0  1  0
## [2640,]  0  0  0  1  1  0  0  0  0  1  1  0  0  0  0  1
## [2641,]  1  0  0  0  1  1  0  0  0  1  1  0  0  0  0  0
## [2642,]  0  1  0  0  1  1  0  0  0  1  1  0  0  0  0  0
## [2643,]  0  0  1  0  1  1  0  0  0  1  1  0  0  0  0  0
## [2644,]  0  0  0  1  1  1  0  0  0  1  1  0  0  0  0  0
## [2645,]  0  0  0  0  1  2  0  0  0  1  1  0  0  0  0  0
## [2646,]  0  0  0  0  0  3  0  0  0  1  1  0  0  0  0  0
## [2647,]  0  0  0  0  0  2  1  0  0  1  1  0  0  0  0  0
## [2648,]  0  0  0  0  0  2  0  1  0  1  1  0  0  0  0  0
## [2649,]  0  0  0  0  0  1  1  0  1  1  1  0  0  0  0  0
## [2650,]  0  0  0  0  0  1  1  0  0  2  1  0  0  0  0  0
## [2651,]  0  0  0  0  0  1  1  0  0  1  2  0  0  0  0  0
## [2652,]  0  0  0  0  0  1  1  0  0  1  1  1  0  0  0  0
## [2653,]  0  0  0  0  0  1  0  1  0  1  1  0  1  0  0  0
## [2654,]  0  0  0  0  0  1  0  1  0  1  1  0  0  1  0  0
## [2655,]  0  0  0  0  0  1  0  1  0  1  1  0  0  0  1  0
## [2656,]  0  0  0  0  0  1  0  1  0  1  1  0  0  0  0  1
## [2657,]  1  0  0  0  0  0  1  0  1  1  1  0  0  0  0  0
## [2658,]  0  1  0  0  0  0  1  0  1  1  1  0  0  0  0  0
## [2659,]  0  0  1  0  0  0  1  0  1  1  1  0  0  0  0  0
## [2660,]  0  0  0  1  0  0  1  0  1  1  1  0  0  0  0  0
## [2661,]  0  0  0  0  1  0  1  0  0  2  1  0  0  0  0  0
## [2662,]  0  0  0  0  0  1  1  0  0  2  1  0  0  0  0  0
## [2663,]  0  0  0  0  0  0  2  0  0  2  1  0  0  0  0  0
## [2664,]  0  0  0  0  0  0  1  1  0  2  1  0  0  0  0  0
## [2665,]  0  0  0  0  0  0  1  0  1  1  2  0  0  0  0  0
## [2666,]  0  0  0  0  0  0  1  0  0  2  2  0  0  0  0  0
## [2667,]  0  0  0  0  0  0  1  0  0  1  3  0  0  0  0  0
## [2668,]  0  0  0  0  0  0  1  0  0  1  2  1  0  0  0  0
## [2669,]  0  0  0  0  0  0  1  0  0  1  1  1  1  0  0  0
## [2670,]  0  0  0  0  0  0  1  0  0  1  1  1  0  1  0  0
## [2671,]  0  0  0  0  0  0  1  0  0  1  1  1  0  0  1  0
## [2672,]  0  0  0  0  0  0  1  0  0  1  1  1  0  0  0  1
## [2673,]  1  0  0  0  0  0  0  1  0  1  1  0  1  0  0  0
## [2674,]  0  1  0  0  0  0  0  1  0  1  1  0  1  0  0  0
## [2675,]  0  0  1  0  0  0  0  1  0  1  1  0  1  0  0  0
## [2676,]  0  0  0  1  0  0  0  1  0  1  1  0  1  0  0  0
## [2677,]  0  0  0  0  1  0  0  1  0  1  1  0  0  1  0  0
## [2678,]  0  0  0  0  0  1  0  1  0  1  1  0  0  1  0  0
## [2679,]  0  0  0  0  0  0  1  1  0  1  1  0  0  1  0  0
## [2680,]  0  0  0  0  0  0  0  2  0  1  1  0  0  1  0  0
## [2681,]  0  0  0  0  0  0  0  1  1  1  1  0  0  0  1  0
## [2682,]  0  0  0  0  0  0  0  1  0  2  1  0  0  0  1  0
## [2683,]  0  0  0  0  0  0  0  1  0  1  2  0  0  0  1  0
## [2684,]  0  0  0  0  0  0  0  1  0  1  1  1  0  0  1  0
## [2685,]  0  0  0  0  0  0  0  1  0  1  1  0  1  0  0  1
## [2686,]  0  0  0  0  0  0  0  1  0  1  1  0  0  1  0  1
## [2687,]  0  0  0  0  0  0  0  1  0  1  1  0  0  0  1  1
## [2688,]  0  0  0  0  0  0  0  1  0  1  1  0  0  0  0  2
## [2689,]  2  0  0  0  0  0  0  0  1  0  2  0  0  0  0  0
## [2690,]  1  1  0  0  0  0  0  0  1  0  2  0  0  0  0  0
## [2691,]  1  0  1  0  0  0  0  0  1  0  2  0  0  0  0  0
## [2692,]  1  0  0  1  0  0  0  0  1  0  2  0  0  0  0  0
## [2693,]  0  1  0  0  1  0  0  0  1  0  2  0  0  0  0  0
## [2694,]  0  1  0  0  0  1  0  0  1  0  2  0  0  0  0  0
## [2695,]  0  1  0  0  0  0  1  0  1  0  2  0  0  0  0  0
## [2696,]  0  1  0  0  0  0  0  1  1  0  2  0  0  0  0  0
## [2697,]  0  0  1  0  0  0  0  0  2  0  2  0  0  0  0  0
## [2698,]  0  0  1  0  0  0  0  0  1  1  2  0  0  0  0  0
## [2699,]  0  0  1  0  0  0  0  0  1  0  3  0  0  0  0  0
## [2700,]  0  0  1  0  0  0  0  0  1  0  2  1  0  0  0  0
## [2701,]  0  0  0  1  0  0  0  0  1  0  2  0  1  0  0  0
## [2702,]  0  0  0  1  0  0  0  0  1  0  2  0  0  1  0  0
## [2703,]  0  0  0  1  0  0  0  0  1  0  2  0  0  0  1  0
## [2704,]  0  0  0  1  0  0  0  0  1  0  2  0  0  0  0  1
## [2705,]  1  0  0  0  1  0  0  0  0  1  2  0  0  0  0  0
## [2706,]  0  1  0  0  1  0  0  0  0  1  2  0  0  0  0  0
## [2707,]  0  0  1  0  1  0  0  0  0  1  2  0  0  0  0  0
## [2708,]  0  0  0  1  1  0  0  0  0  1  2  0  0  0  0  0
## [2709,]  0  0  0  0  1  1  0  0  0  1  2  0  0  0  0  0
## [2710,]  0  0  0  0  0  2  0  0  0  1  2  0  0  0  0  0
## [2711,]  0  0  0  0  0  1  1  0  0  1  2  0  0  0  0  0
## [2712,]  0  0  0  0  0  1  0  1  0  1  2  0  0  0  0  0
## [2713,]  0  0  0  0  0  0  1  0  1  1  2  0  0  0  0  0
## [2714,]  0  0  0  0  0  0  1  0  0  2  2  0  0  0  0  0
## [2715,]  0  0  0  0  0  0  1  0  0  1  3  0  0  0  0  0
## [2716,]  0  0  0  0  0  0  1  0  0  1  2  1  0  0  0  0
## [2717,]  0  0  0  0  0  0  0  1  0  1  2  0  1  0  0  0
## [2718,]  0  0  0  0  0  0  0  1  0  1  2  0  0  1  0  0
## [2719,]  0  0  0  0  0  0  0  1  0  1  2  0  0  0  1  0
## [2720,]  0  0  0  0  0  0  0  1  0  1  2  0  0  0  0  1
## [2721,]  1  0  0  0  0  0  0  0  1  0  3  0  0  0  0  0
## [2722,]  0  1  0  0  0  0  0  0  1  0  3  0  0  0  0  0
## [2723,]  0  0  1  0  0  0  0  0  1  0  3  0  0  0  0  0
## [2724,]  0  0  0  1  0  0  0  0  1  0  3  0  0  0  0  0
## [2725,]  0  0  0  0  1  0  0  0  0  1  3  0  0  0  0  0
## [2726,]  0  0  0  0  0  1  0  0  0  1  3  0  0  0  0  0
## [2727,]  0  0  0  0  0  0  1  0  0  1  3  0  0  0  0  0
## [2728,]  0  0  0  0  0  0  0  1  0  1  3  0  0  0  0  0
## [2729,]  0  0  0  0  0  0  0  0  1  0  4  0  0  0  0  0
## [2730,]  0  0  0  0  0  0  0  0  0  1  4  0  0  0  0  0
## [2731,]  0  0  0  0  0  0  0  0  0  0  5  0  0  0  0  0
## [2732,]  0  0  0  0  0  0  0  0  0  0  4  1  0  0  0  0
## [2733,]  0  0  0  0  0  0  0  0  0  0  3  1  1  0  0  0
## [2734,]  0  0  0  0  0  0  0  0  0  0  3  1  0  1  0  0
## [2735,]  0  0  0  0  0  0  0  0  0  0  3  1  0  0  1  0
## [2736,]  0  0  0  0  0  0  0  0  0  0  3  1  0  0  0  1
## [2737,]  1  0  0  0  0  0  0  0  0  0  2  1  1  0  0  0
## [2738,]  0  1  0  0  0  0  0  0  0  0  2  1  1  0  0  0
## [2739,]  0  0  1  0  0  0  0  0  0  0  2  1  1  0  0  0
## [2740,]  0  0  0  1  0  0  0  0  0  0  2  1  1  0  0  0
## [2741,]  0  0  0  0  1  0  0  0  0  0  2  1  0  1  0  0
## [2742,]  0  0  0  0  0  1  0  0  0  0  2  1  0  1  0  0
## [2743,]  0  0  0  0  0  0  1  0  0  0  2  1  0  1  0  0
## [2744,]  0  0  0  0  0  0  0  1  0  0  2  1  0  1  0  0
## [2745,]  0  0  0  0  0  0  0  0  1  0  2  1  0  0  1  0
## [2746,]  0  0  0  0  0  0  0  0  0  1  2  1  0  0  1  0
## [2747,]  0  0  0  0  0  0  0  0  0  0  3  1  0  0  1  0
## [2748,]  0  0  0  0  0  0  0  0  0  0  2  2  0  0  1  0
## [2749,]  0  0  0  0  0  0  0  0  0  0  2  1  1  0  0  1
## [2750,]  0  0  0  0  0  0  0  0  0  0  2  1  0  1  0  1
## [2751,]  0  0  0  0  0  0  0  0  0  0  2  1  0  0  1  1
## [2752,]  0  0  0  0  0  0  0  0  0  0  2  1  0  0  0  2
## [2753,]  2  0  0  0  0  0  0  0  0  0  1  1  1  0  0  0
## [2754,]  1  1  0  0  0  0  0  0  0  0  1  1  1  0  0  0
## [2755,]  1  0  1  0  0  0  0  0  0  0  1  1  1  0  0  0
## [2756,]  1  0  0  1  0  0  0  0  0  0  1  1  1  0  0  0
## [2757,]  0  1  0  0  1  0  0  0  0  0  1  1  1  0  0  0
## [2758,]  0  1  0  0  0  1  0  0  0  0  1  1  1  0  0  0
## [2759,]  0  1  0  0  0  0  1  0  0  0  1  1  1  0  0  0
## [2760,]  0  1  0  0  0  0  0  1  0  0  1  1  1  0  0  0
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## [2762,]  0  0  1  0  0  0  0  0  0  1  1  1  1  0  0  0
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## [2802,]  0  1  0  0  0  0  0  0  0  0  1  1  1  0  0  1
## [2803,]  0  0  1  0  0  0  0  0  0  0  1  1  1  0  0  1
## [2804,]  0  0  0  1  0  0  0  0  0  0  1  1  1  0  0  1
## [2805,]  0  0  0  0  1  0  0  0  0  0  1  1  0  1  0  1
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## [2814,]  0  0  0  0  0  0  0  0  0  0  1  1  0  1  0  2
## [2815,]  0  0  0  0  0  0  0  0  0  0  1  1  0  0  1  2
## [2816,]  0  0  0  0  0  0  0  0  0  0  1  1  0  0  0  3
## [2817,]  3  0  0  0  0  0  0  0  0  0  0  1  1  0  0  0
## [2818,]  2  1  0  0  0  0  0  0  0  0  0  1  1  0  0  0
## [2819,]  2  0  1  0  0  0  0  0  0  0  0  1  1  0  0  0
## [2820,]  2  0  0  1  0  0  0  0  0  0  0  1  1  0  0  0
## [2821,]  1  1  0  0  1  0  0  0  0  0  0  1  1  0  0  0
## [2822,]  1  1  0  0  0  1  0  0  0  0  0  1  1  0  0  0
## [2823,]  1  1  0  0  0  0  1  0  0  0  0  1  1  0  0  0
## [2824,]  1  1  0  0  0  0  0  1  0  0  0  1  1  0  0  0
## [2825,]  1  0  1  0  0  0  0  0  1  0  0  1  1  0  0  0
## [2826,]  1  0  1  0  0  0  0  0  0  1  0  1  1  0  0  0
## [2827,]  1  0  1  0  0  0  0  0  0  0  1  1  1  0  0  0
## [2828,]  1  0  1  0  0  0  0  0  0  0  0  2  1  0  0  0
## [2829,]  1  0  0  1  0  0  0  0  0  0  0  1  2  0  0  0
## [2830,]  1  0  0  1  0  0  0  0  0  0  0  1  1  1  0  0
## [2831,]  1  0  0  1  0  0  0  0  0  0  0  1  1  0  1  0
## [2832,]  1  0  0  1  0  0  0  0  0  0  0  1  1  0  0  1
## [2833,]  1  1  0  0  1  0  0  0  0  0  0  1  1  0  0  0
## [2834,]  0  2  0  0  1  0  0  0  0  0  0  1  1  0  0  0
## [2835,]  0  1  1  0  1  0  0  0  0  0  0  1  1  0  0  0
## [2836,]  0  1  0  1  1  0  0  0  0  0  0  1  1  0  0  0
## [2837,]  0  1  0  0  1  1  0  0  0  0  0  1  1  0  0  0
## [2838,]  0  1  0  0  0  2  0  0  0  0  0  1  1  0  0  0
## [2839,]  0  1  0  0  0  1  1  0  0  0  0  1  1  0  0  0
## [2840,]  0  1  0  0  0  1  0  1  0  0  0  1  1  0  0  0
## [2841,]  0  1  0  0  0  0  1  0  1  0  0  1  1  0  0  0
## [2842,]  0  1  0  0  0  0  1  0  0  1  0  1  1  0  0  0
## [2843,]  0  1  0  0  0  0  1  0  0  0  1  1  1  0  0  0
## [2844,]  0  1  0  0  0  0  1  0  0  0  0  2  1  0  0  0
## [2845,]  0  1  0  0  0  0  0  1  0  0  0  1  2  0  0  0
## [2846,]  0  1  0  0  0  0  0  1  0  0  0  1  1  1  0  0
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## [2848,]  0  1  0  0  0  0  0  1  0  0  0  1  1  0  0  1
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## [2850,]  0  1  1  0  0  0  0  0  1  0  0  1  1  0  0  0
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## [2853,]  0  0  1  0  1  0  0  0  0  1  0  1  1  0  0  0
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## [2877,]  0  0  0  1  0  0  0  0  0  0  0  1  2  0  0  1
## [2878,]  0  0  0  1  0  0  0  0  0  0  0  1  1  1  0  1
## [2879,]  0  0  0  1  0  0  0  0  0  0  0  1  1  0  1  1
## [2880,]  0  0  0  1  0  0  0  0  0  0  0  1  1  0  0  2
## [2881,]  2  0  0  0  1  0  0  0  0  0  0  1  0  1  0  0
## [2882,]  1  1  0  0  1  0  0  0  0  0  0  1  0  1  0  0
## [2883,]  1  0  1  0  1  0  0  0  0  0  0  1  0  1  0  0
## [2884,]  1  0  0  1  1  0  0  0  0  0  0  1  0  1  0  0
## [2885,]  0  1  0  0  2  0  0  0  0  0  0  1  0  1  0  0
## [2886,]  0  1  0  0  1  1  0  0  0  0  0  1  0  1  0  0
## [2887,]  0  1  0  0  1  0  1  0  0  0  0  1  0  1  0  0
## [2888,]  0  1  0  0  1  0  0  1  0  0  0  1  0  1  0  0
## [2889,]  0  0  1  0  1  0  0  0  1  0  0  1  0  1  0  0
## [2890,]  0  0  1  0  1  0  0  0  0  1  0  1  0  1  0  0
## [2891,]  0  0  1  0  1  0  0  0  0  0  1  1  0  1  0  0
## [2892,]  0  0  1  0  1  0  0  0  0  0  0  2  0  1  0  0
## [2893,]  0  0  0  1  1  0  0  0  0  0  0  1  1  1  0  0
## [2894,]  0  0  0  1  1  0  0  0  0  0  0  1  0  2  0  0
## [2895,]  0  0  0  1  1  0  0  0  0  0  0  1  0  1  1  0
## [2896,]  0  0  0  1  1  0  0  0  0  0  0  1  0  1  0  1
## [2897,]  1  0  0  0  1  1  0  0  0  0  0  1  0  1  0  0
## [2898,]  0  1  0  0  1  1  0  0  0  0  0  1  0  1  0  0
## [2899,]  0  0  1  0  1  1  0  0  0  0  0  1  0  1  0  0
## [2900,]  0  0  0  1  1  1  0  0  0  0  0  1  0  1  0  0
## [2901,]  0  0  0  0  1  2  0  0  0  0  0  1  0  1  0  0
## [2902,]  0  0  0  0  0  3  0  0  0  0  0  1  0  1  0  0
## [2903,]  0  0  0  0  0  2  1  0  0  0  0  1  0  1  0  0
## [2904,]  0  0  0  0  0  2  0  1  0  0  0  1  0  1  0  0
## [2905,]  0  0  0  0  0  1  1  0  1  0  0  1  0  1  0  0
## [2906,]  0  0  0  0  0  1  1  0  0  1  0  1  0  1  0  0
## [2907,]  0  0  0  0  0  1  1  0  0  0  1  1  0  1  0  0
## [2908,]  0  0  0  0  0  1  1  0  0  0  0  2  0  1  0  0
## [2909,]  0  0  0  0  0  1  0  1  0  0  0  1  1  1  0  0
## [2910,]  0  0  0  0  0  1  0  1  0  0  0  1  0  2  0  0
## [2911,]  0  0  0  0  0  1  0  1  0  0  0  1  0  1  1  0
## [2912,]  0  0  0  0  0  1  0  1  0  0  0  1  0  1  0  1
## [2913,]  1  0  0  0  0  0  1  0  1  0  0  1  0  1  0  0
## [2914,]  0  1  0  0  0  0  1  0  1  0  0  1  0  1  0  0
## [2915,]  0  0  1  0  0  0  1  0  1  0  0  1  0  1  0  0
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## [2917,]  0  0  0  0  1  0  1  0  0  1  0  1  0  1  0  0
## [2918,]  0  0  0  0  0  1  1  0  0  1  0  1  0  1  0  0
## [2919,]  0  0  0  0  0  0  2  0  0  1  0  1  0  1  0  0
## [2920,]  0  0  0  0  0  0  1  1  0  1  0  1  0  1  0  0
## [2921,]  0  0  0  0  0  0  1  0  1  0  1  1  0  1  0  0
## [2922,]  0  0  0  0  0  0  1  0  0  1  1  1  0  1  0  0
## [2923,]  0  0  0  0  0  0  1  0  0  0  2  1  0  1  0  0
## [2924,]  0  0  0  0  0  0  1  0  0  0  1  2  0  1  0  0
## [2925,]  0  0  0  0  0  0  1  0  0  0  0  2  1  1  0  0
## [2926,]  0  0  0  0  0  0  1  0  0  0  0  2  0  2  0  0
## [2927,]  0  0  0  0  0  0  1  0  0  0  0  2  0  1  1  0
## [2928,]  0  0  0  0  0  0  1  0  0  0  0  2  0  1  0  1
## [2929,]  1  0  0  0  0  0  0  1  0  0  0  1  1  1  0  0
## [2930,]  0  1  0  0  0  0  0  1  0  0  0  1  1  1  0  0
## [2931,]  0  0  1  0  0  0  0  1  0  0  0  1  1  1  0  0
## [2932,]  0  0  0  1  0  0  0  1  0  0  0  1  1  1  0  0
## [2933,]  0  0  0  0  1  0  0  1  0  0  0  1  0  2  0  0
## [2934,]  0  0  0  0  0  1  0  1  0  0  0  1  0  2  0  0
## [2935,]  0  0  0  0  0  0  1  1  0  0  0  1  0  2  0  0
## [2936,]  0  0  0  0  0  0  0  2  0  0  0  1  0  2  0  0
## [2937,]  0  0  0  0  0  0  0  1  1  0  0  1  0  1  1  0
## [2938,]  0  0  0  0  0  0  0  1  0  1  0  1  0  1  1  0
## [2939,]  0  0  0  0  0  0  0  1  0  0  1  1  0  1  1  0
## [2940,]  0  0  0  0  0  0  0  1  0  0  0  2  0  1  1  0
## [2941,]  0  0  0  0  0  0  0  1  0  0  0  1  1  1  0  1
## [2942,]  0  0  0  0  0  0  0  1  0  0  0  1  0  2  0  1
## [2943,]  0  0  0  0  0  0  0  1  0  0  0  1  0  1  1  1
## [2944,]  0  0  0  0  0  0  0  1  0  0  0  1  0  1  0  2
## [2945,]  2  0  0  0  0  0  0  0  1  0  0  1  0  0  1  0
## [2946,]  1  1  0  0  0  0  0  0  1  0  0  1  0  0  1  0
## [2947,]  1  0  1  0  0  0  0  0  1  0  0  1  0  0  1  0
## [2948,]  1  0  0  1  0  0  0  0  1  0  0  1  0  0  1  0
## [2949,]  0  1  0  0  1  0  0  0  1  0  0  1  0  0  1  0
## [2950,]  0  1  0  0  0  1  0  0  1  0  0  1  0  0  1  0
## [2951,]  0  1  0  0  0  0  1  0  1  0  0  1  0  0  1  0
## [2952,]  0  1  0  0  0  0  0  1  1  0  0  1  0  0  1  0
## [2953,]  0  0  1  0  0  0  0  0  2  0  0  1  0  0  1  0
## [2954,]  0  0  1  0  0  0  0  0  1  1  0  1  0  0  1  0
## [2955,]  0  0  1  0  0  0  0  0  1  0  1  1  0  0  1  0
## [2956,]  0  0  1  0  0  0  0  0  1  0  0  2  0  0  1  0
## [2957,]  0  0  0  1  0  0  0  0  1  0  0  1  1  0  1  0
## [2958,]  0  0  0  1  0  0  0  0  1  0  0  1  0  1  1  0
## [2959,]  0  0  0  1  0  0  0  0  1  0  0  1  0  0  2  0
## [2960,]  0  0  0  1  0  0  0  0  1  0  0  1  0  0  1  1
## [2961,]  1  0  0  0  1  0  0  0  0  1  0  1  0  0  1  0
## [2962,]  0  1  0  0  1  0  0  0  0  1  0  1  0  0  1  0
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## [3015,]  0  1  0  0  0  0  1  0  0  0  0  1  1  0  0  1
## [3016,]  0  1  0  0  0  0  0  1  0  0  0  1  1  0  0  1
## [3017,]  0  0  1  0  0  0  0  0  1  0  0  1  1  0  0  1
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## [3019,]  0  0  1  0  0  0  0  0  0  0  1  1  1  0  0  1
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## [3021,]  0  0  0  1  0  0  0  0  0  0  0  1  2  0  0  1
## [3022,]  0  0  0  1  0  0  0  0  0  0  0  1  1  1  0  1
## [3023,]  0  0  0  1  0  0  0  0  0  0  0  1  1  0  1  1
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## [3025,]  1  0  0  0  1  0  0  0  0  0  0  1  0  1  0  1
## [3026,]  0  1  0  0  1  0  0  0  0  0  0  1  0  1  0  1
## [3027,]  0  0  1  0  1  0  0  0  0  0  0  1  0  1  0  1
## [3028,]  0  0  0  1  1  0  0  0  0  0  0  1  0  1  0  1
## [3029,]  0  0  0  0  1  1  0  0  0  0  0  1  0  1  0  1
## [3030,]  0  0  0  0  0  2  0  0  0  0  0  1  0  1  0  1
## [3031,]  0  0  0  0  0  1  1  0  0  0  0  1  0  1  0  1
## [3032,]  0  0  0  0  0  1  0  1  0  0  0  1  0  1  0  1
## [3033,]  0  0  0  0  0  0  1  0  1  0  0  1  0  1  0  1
## [3034,]  0  0  0  0  0  0  1  0  0  1  0  1  0  1  0  1
## [3035,]  0  0  0  0  0  0  1  0  0  0  1  1  0  1  0  1
## [3036,]  0  0  0  0  0  0  1  0  0  0  0  2  0  1  0  1
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## [3039,]  0  0  0  0  0  0  0  1  0  0  0  1  0  1  1  1
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## [3041,]  1  0  0  0  0  0  0  0  1  0  0  1  0  0  1  1
## [3042,]  0  1  0  0  0  0  0  0  1  0  0  1  0  0  1  1
## [3043,]  0  0  1  0  0  0  0  0  1  0  0  1  0  0  1  1
## [3044,]  0  0  0  1  0  0  0  0  1  0  0  1  0  0  1  1
## [3045,]  0  0  0  0  1  0  0  0  0  1  0  1  0  0  1  1
## [3046,]  0  0  0  0  0  1  0  0  0  1  0  1  0  0  1  1
## [3047,]  0  0  0  0  0  0  1  0  0  1  0  1  0  0  1  1
## [3048,]  0  0  0  0  0  0  0  1  0  1  0  1  0  0  1  1
## [3049,]  0  0  0  0  0  0  0  0  1  0  1  1  0  0  1  1
## [3050,]  0  0  0  0  0  0  0  0  0  1  1  1  0  0  1  1
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## [3058,]  0  1  0  0  0  0  0  0  0  0  0  1  1  0  0  2
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## [3061,]  0  0  0  0  1  0  0  0  0  0  0  1  0  1  0  2
## [3062,]  0  0  0  0  0  1  0  0  0  0  0  1  0  1  0  2
## [3063,]  0  0  0  0  0  0  1  0  0  0  0  1  0  1  0  2
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## [3071,]  0  0  0  0  0  0  0  0  0  0  0  1  0  0  1  3
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## [3073,]  4  0  0  0  0  0  0  0  0  0  0  0  1  0  0  0
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## [3075,]  3  0  1  0  0  0  0  0  0  0  0  0  1  0  0  0
## [3076,]  3  0  0  1  0  0  0  0  0  0  0  0  1  0  0  0
## [3077,]  2  1  0  0  1  0  0  0  0  0  0  0  1  0  0  0
## [3078,]  2  1  0  0  0  1  0  0  0  0  0  0  1  0  0  0
## [3079,]  2  1  0  0  0  0  1  0  0  0  0  0  1  0  0  0
## [3080,]  2  1  0  0  0  0  0  1  0  0  0  0  1  0  0  0
## [3081,]  2  0  1  0  0  0  0  0  1  0  0  0  1  0  0  0
## [3082,]  2  0  1  0  0  0  0  0  0  1  0  0  1  0  0  0
## [3083,]  2  0  1  0  0  0  0  0  0  0  1  0  1  0  0  0
## [3084,]  2  0  1  0  0  0  0  0  0  0  0  1  1  0  0  0
## [3085,]  2  0  0  1  0  0  0  0  0  0  0  0  2  0  0  0
## [3086,]  2  0  0  1  0  0  0  0  0  0  0  0  1  1  0  0
## [3087,]  2  0  0  1  0  0  0  0  0  0  0  0  1  0  1  0
## [3088,]  2  0  0  1  0  0  0  0  0  0  0  0  1  0  0  1
## [3089,]  2  1  0  0  1  0  0  0  0  0  0  0  1  0  0  0
## [3090,]  1  2  0  0  1  0  0  0  0  0  0  0  1  0  0  0
## [3091,]  1  1  1  0  1  0  0  0  0  0  0  0  1  0  0  0
## [3092,]  1  1  0  1  1  0  0  0  0  0  0  0  1  0  0  0
## [3093,]  1  1  0  0  1  1  0  0  0  0  0  0  1  0  0  0
## [3094,]  1  1  0  0  0  2  0  0  0  0  0  0  1  0  0  0
## [3095,]  1  1  0  0  0  1  1  0  0  0  0  0  1  0  0  0
## [3096,]  1  1  0  0  0  1  0  1  0  0  0  0  1  0  0  0
## [3097,]  1  1  0  0  0  0  1  0  1  0  0  0  1  0  0  0
## [3098,]  1  1  0  0  0  0  1  0  0  1  0  0  1  0  0  0
## [3099,]  1  1  0  0  0  0  1  0  0  0  1  0  1  0  0  0
## [3100,]  1  1  0  0  0  0  1  0  0  0  0  1  1  0  0  0
## [3101,]  1  1  0  0  0  0  0  1  0  0  0  0  2  0  0  0
## [3102,]  1  1  0  0  0  0  0  1  0  0  0  0  1  1  0  0
## [3103,]  1  1  0  0  0  0  0  1  0  0  0  0  1  0  1  0
## [3104,]  1  1  0  0  0  0  0  1  0  0  0  0  1  0  0  1
## [3105,]  2  0  1  0  0  0  0  0  1  0  0  0  1  0  0  0
## [3106,]  1  1  1  0  0  0  0  0  1  0  0  0  1  0  0  0
## [3107,]  1  0  2  0  0  0  0  0  1  0  0  0  1  0  0  0
## [3108,]  1  0  1  1  0  0  0  0  1  0  0  0  1  0  0  0
## [3109,]  1  0  1  0  1  0  0  0  0  1  0  0  1  0  0  0
## [3110,]  1  0  1  0  0  1  0  0  0  1  0  0  1  0  0  0
## [3111,]  1  0  1  0  0  0  1  0  0  1  0  0  1  0  0  0
## [3112,]  1  0  1  0  0  0  0  1  0  1  0  0  1  0  0  0
## [3113,]  1  0  1  0  0  0  0  0  1  0  1  0  1  0  0  0
## [3114,]  1  0  1  0  0  0  0  0  0  1  1  0  1  0  0  0
## [3115,]  1  0  1  0  0  0  0  0  0  0  2  0  1  0  0  0
## [3116,]  1  0  1  0  0  0  0  0  0  0  1  1  1  0  0  0
## [3117,]  1  0  1  0  0  0  0  0  0  0  0  1  2  0  0  0
## [3118,]  1  0  1  0  0  0  0  0  0  0  0  1  1  1  0  0
## [3119,]  1  0  1  0  0  0  0  0  0  0  0  1  1  0  1  0
## [3120,]  1  0  1  0  0  0  0  0  0  0  0  1  1  0  0  1
## [3121,]  2  0  0  1  0  0  0  0  0  0  0  0  2  0  0  0
## [3122,]  1  1  0  1  0  0  0  0  0  0  0  0  2  0  0  0
## [3123,]  1  0  1  1  0  0  0  0  0  0  0  0  2  0  0  0
## [3124,]  1  0  0  2  0  0  0  0  0  0  0  0  2  0  0  0
## [3125,]  1  0  0  1  1  0  0  0  0  0  0  0  1  1  0  0
## [3126,]  1  0  0  1  0  1  0  0  0  0  0  0  1  1  0  0
## [3127,]  1  0  0  1  0  0  1  0  0  0  0  0  1  1  0  0
## [3128,]  1  0  0  1  0  0  0  1  0  0  0  0  1  1  0  0
## [3129,]  1  0  0  1  0  0  0  0  1  0  0  0  1  0  1  0
## [3130,]  1  0  0  1  0  0  0  0  0  1  0  0  1  0  1  0
## [3131,]  1  0  0  1  0  0  0  0  0  0  1  0  1  0  1  0
## [3132,]  1  0  0  1  0  0  0  0  0  0  0  1  1  0  1  0
## [3133,]  1  0  0  1  0  0  0  0  0  0  0  0  2  0  0  1
## [3134,]  1  0  0  1  0  0  0  0  0  0  0  0  1  1  0  1
## [3135,]  1  0  0  1  0  0  0  0  0  0  0  0  1  0  1  1
## [3136,]  1  0  0  1  0  0  0  0  0  0  0  0  1  0  0  2
## [3137,]  2  1  0  0  1  0  0  0  0  0  0  0  1  0  0  0
## [3138,]  1  2  0  0  1  0  0  0  0  0  0  0  1  0  0  0
## [3139,]  1  1  1  0  1  0  0  0  0  0  0  0  1  0  0  0
## [3140,]  1  1  0  1  1  0  0  0  0  0  0  0  1  0  0  0
## [3141,]  0  2  0  0  2  0  0  0  0  0  0  0  1  0  0  0
## [3142,]  0  2  0  0  1  1  0  0  0  0  0  0  1  0  0  0
## [3143,]  0  2  0  0  1  0  1  0  0  0  0  0  1  0  0  0
## [3144,]  0  2  0  0  1  0  0  1  0  0  0  0  1  0  0  0
## [3145,]  0  1  1  0  1  0  0  0  1  0  0  0  1  0  0  0
## [3146,]  0  1  1  0  1  0  0  0  0  1  0  0  1  0  0  0
## [3147,]  0  1  1  0  1  0  0  0  0  0  1  0  1  0  0  0
## [3148,]  0  1  1  0  1  0  0  0  0  0  0  1  1  0  0  0
## [3149,]  0  1  0  1  1  0  0  0  0  0  0  0  2  0  0  0
## [3150,]  0  1  0  1  1  0  0  0  0  0  0  0  1  1  0  0
## [3151,]  0  1  0  1  1  0  0  0  0  0  0  0  1  0  1  0
## [3152,]  0  1  0  1  1  0  0  0  0  0  0  0  1  0  0  1
## [3153,]  1  1  0  0  1  1  0  0  0  0  0  0  1  0  0  0
## [3154,]  0  2  0  0  1  1  0  0  0  0  0  0  1  0  0  0
## [3155,]  0  1  1  0  1  1  0  0  0  0  0  0  1  0  0  0
## [3156,]  0  1  0  1  1  1  0  0  0  0  0  0  1  0  0  0
## [3157,]  0  1  0  0  1  2  0  0  0  0  0  0  1  0  0  0
## [3158,]  0  1  0  0  0  3  0  0  0  0  0  0  1  0  0  0
## [3159,]  0  1  0  0  0  2  1  0  0  0  0  0  1  0  0  0
## [3160,]  0  1  0  0  0  2  0  1  0  0  0  0  1  0  0  0
## [3161,]  0  1  0  0  0  1  1  0  1  0  0  0  1  0  0  0
## [3162,]  0  1  0  0  0  1  1  0  0  1  0  0  1  0  0  0
## [3163,]  0  1  0  0  0  1  1  0  0  0  1  0  1  0  0  0
## [3164,]  0  1  0  0  0  1  1  0  0  0  0  1  1  0  0  0
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## [3344,]  1  0  0  1  1  0  0  0  0  0  0  0  0  1  0  1
## [3345,]  1  1  0  0  2  0  0  0  0  0  0  0  0  1  0  0
## [3346,]  0  2  0  0  2  0  0  0  0  0  0  0  0  1  0  0
## [3347,]  0  1  1  0  2  0  0  0  0  0  0  0  0  1  0  0
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## [3360,]  0  1  0  0  1  0  0  1  0  0  0  0  0  1  0  1
## [3361,]  1  0  1  0  1  0  0  0  1  0  0  0  0  1  0  0
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## [3363,]  0  0  2  0  1  0  0  0  1  0  0  0  0  1  0  0
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## [3570,]  0  1  0  0  0  0  0  1  0  0  0  0  1  1  0  1
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## [3572,]  0  0  0  1  0  0  0  1  0  0  0  0  1  1  0  1
## [3573,]  0  0  0  0  1  0  0  1  0  0  0  0  0  2  0  1
## [3574,]  0  0  0  0  0  1  0  1  0  0  0  0  0  2  0  1
## [3575,]  0  0  0  0  0  0  1  1  0  0  0  0  0  2  0  1
## [3576,]  0  0  0  0  0  0  0  2  0  0  0  0  0  2  0  1
## [3577,]  0  0  0  0  0  0  0  1  1  0  0  0  0  1  1  1
## [3578,]  0  0  0  0  0  0  0  1  0  1  0  0  0  1  1  1
## [3579,]  0  0  0  0  0  0  0  1  0  0  1  0  0  1  1  1
## [3580,]  0  0  0  0  0  0  0  1  0  0  0  1  0  1  1  1
## [3581,]  0  0  0  0  0  0  0  1  0  0  0  0  1  1  0  2
## [3582,]  0  0  0  0  0  0  0  1  0  0  0  0  0  2  0  2
## [3583,]  0  0  0  0  0  0  0  1  0  0  0  0  0  1  1  2
## [3584,]  0  0  0  0  0  0  0  1  0  0  0  0  0  1  0  3
## [3585,]  3  0  0  0  0  0  0  0  1  0  0  0  0  0  1  0
## [3586,]  2  1  0  0  0  0  0  0  1  0  0  0  0  0  1  0
## [3587,]  2  0  1  0  0  0  0  0  1  0  0  0  0  0  1  0
## [3588,]  2  0  0  1  0  0  0  0  1  0  0  0  0  0  1  0
## [3589,]  1  1  0  0  1  0  0  0  1  0  0  0  0  0  1  0
## [3590,]  1  1  0  0  0  1  0  0  1  0  0  0  0  0  1  0
## [3591,]  1  1  0  0  0  0  1  0  1  0  0  0  0  0  1  0
## [3592,]  1  1  0  0  0  0  0  1  1  0  0  0  0  0  1  0
## [3593,]  1  0  1  0  0  0  0  0  2  0  0  0  0  0  1  0
## [3594,]  1  0  1  0  0  0  0  0  1  1  0  0  0  0  1  0
## [3595,]  1  0  1  0  0  0  0  0  1  0  1  0  0  0  1  0
## [3596,]  1  0  1  0  0  0  0  0  1  0  0  1  0  0  1  0
## [3597,]  1  0  0  1  0  0  0  0  1  0  0  0  1  0  1  0
## [3598,]  1  0  0  1  0  0  0  0  1  0  0  0  0  1  1  0
## [3599,]  1  0  0  1  0  0  0  0  1  0  0  0  0  0  2  0
## [3600,]  1  0  0  1  0  0  0  0  1  0  0  0  0  0  1  1
## [3601,]  1  1  0  0  1  0  0  0  1  0  0  0  0  0  1  0
## [3602,]  0  2  0  0  1  0  0  0  1  0  0  0  0  0  1  0
## [3603,]  0  1  1  0  1  0  0  0  1  0  0  0  0  0  1  0
## [3604,]  0  1  0  1  1  0  0  0  1  0  0  0  0  0  1  0
## [3605,]  0  1  0  0  1  1  0  0  1  0  0  0  0  0  1  0
## [3606,]  0  1  0  0  0  2  0  0  1  0  0  0  0  0  1  0
## [3607,]  0  1  0  0  0  1  1  0  1  0  0  0  0  0  1  0
## [3608,]  0  1  0  0  0  1  0  1  1  0  0  0  0  0  1  0
## [3609,]  0  1  0  0  0  0  1  0  2  0  0  0  0  0  1  0
## [3610,]  0  1  0  0  0  0  1  0  1  1  0  0  0  0  1  0
## [3611,]  0  1  0  0  0  0  1  0  1  0  1  0  0  0  1  0
## [3612,]  0  1  0  0  0  0  1  0  1  0  0  1  0  0  1  0
## [3613,]  0  1  0  0  0  0  0  1  1  0  0  0  1  0  1  0
## [3614,]  0  1  0  0  0  0  0  1  1  0  0  0  0  1  1  0
## [3615,]  0  1  0  0  0  0  0  1  1  0  0  0  0  0  2  0
## [3616,]  0  1  0  0  0  0  0  1  1  0  0  0  0  0  1  1
## [3617,]  1  0  1  0  0  0  0  0  2  0  0  0  0  0  1  0
## [3618,]  0  1  1  0  0  0  0  0  2  0  0  0  0  0  1  0
## [3619,]  0  0  2  0  0  0  0  0  2  0  0  0  0  0  1  0
## [3620,]  0  0  1  1  0  0  0  0  2  0  0  0  0  0  1  0
## [3621,]  0  0  1  0  1  0  0  0  1  1  0  0  0  0  1  0
## [3622,]  0  0  1  0  0  1  0  0  1  1  0  0  0  0  1  0
## [3623,]  0  0  1  0  0  0  1  0  1  1  0  0  0  0  1  0
## [3624,]  0  0  1  0  0  0  0  1  1  1  0  0  0  0  1  0
## [3625,]  0  0  1  0  0  0  0  0  2  0  1  0  0  0  1  0
## [3626,]  0  0  1  0  0  0  0  0  1  1  1  0  0  0  1  0
## [3627,]  0  0  1  0  0  0  0  0  1  0  2  0  0  0  1  0
## [3628,]  0  0  1  0  0  0  0  0  1  0  1  1  0  0  1  0
## [3629,]  0  0  1  0  0  0  0  0  1  0  0  1  1  0  1  0
## [3630,]  0  0  1  0  0  0  0  0  1  0  0  1  0  1  1  0
## [3631,]  0  0  1  0  0  0  0  0  1  0  0  1  0  0  2  0
## [3632,]  0  0  1  0  0  0  0  0  1  0  0  1  0  0  1  1
## [3633,]  1  0  0  1  0  0  0  0  1  0  0  0  1  0  1  0
## [3634,]  0  1  0  1  0  0  0  0  1  0  0  0  1  0  1  0
## [3635,]  0  0  1  1  0  0  0  0  1  0  0  0  1  0  1  0
## [3636,]  0  0  0  2  0  0  0  0  1  0  0  0  1  0  1  0
## [3637,]  0  0  0  1  1  0  0  0  1  0  0  0  0  1  1  0
## [3638,]  0  0  0  1  0  1  0  0  1  0  0  0  0  1  1  0
## [3639,]  0  0  0  1  0  0  1  0  1  0  0  0  0  1  1  0
## [3640,]  0  0  0  1  0  0  0  1  1  0  0  0  0  1  1  0
## [3641,]  0  0  0  1  0  0  0  0  2  0  0  0  0  0  2  0
## [3642,]  0  0  0  1  0  0  0  0  1  1  0  0  0  0  2  0
## [3643,]  0  0  0  1  0  0  0  0  1  0  1  0  0  0  2  0
## [3644,]  0  0  0  1  0  0  0  0  1  0  0  1  0  0  2  0
## [3645,]  0  0  0  1  0  0  0  0  1  0  0  0  1  0  1  1
## [3646,]  0  0  0  1  0  0  0  0  1  0  0  0  0  1  1  1
## [3647,]  0  0  0  1  0  0  0  0  1  0  0  0  0  0  2  1
## [3648,]  0  0  0  1  0  0  0  0  1  0  0  0  0  0  1  2
## [3649,]  2  0  0  0  1  0  0  0  0  1  0  0  0  0  1  0
## [3650,]  1  1  0  0  1  0  0  0  0  1  0  0  0  0  1  0
## [3651,]  1  0  1  0  1  0  0  0  0  1  0  0  0  0  1  0
## [3652,]  1  0  0  1  1  0  0  0  0  1  0  0  0  0  1  0
## [3653,]  0  1  0  0  2  0  0  0  0  1  0  0  0  0  1  0
## [3654,]  0  1  0  0  1  1  0  0  0  1  0  0  0  0  1  0
## [3655,]  0  1  0  0  1  0  1  0  0  1  0  0  0  0  1  0
## [3656,]  0  1  0  0  1  0  0  1  0  1  0  0  0  0  1  0
## [3657,]  0  0  1  0  1  0  0  0  1  1  0  0  0  0  1  0
## [3658,]  0  0  1  0  1  0  0  0  0  2  0  0  0  0  1  0
## [3659,]  0  0  1  0  1  0  0  0  0  1  1  0  0  0  1  0
## [3660,]  0  0  1  0  1  0  0  0  0  1  0  1  0  0  1  0
## [3661,]  0  0  0  1  1  0  0  0  0  1  0  0  1  0  1  0
## [3662,]  0  0  0  1  1  0  0  0  0  1  0  0  0  1  1  0
## [3663,]  0  0  0  1  1  0  0  0  0  1  0  0  0  0  2  0
## [3664,]  0  0  0  1  1  0  0  0  0  1  0  0  0  0  1  1
## [3665,]  1  0  0  0  1  1  0  0  0  1  0  0  0  0  1  0
## [3666,]  0  1  0  0  1  1  0  0  0  1  0  0  0  0  1  0
## [3667,]  0  0  1  0  1  1  0  0  0  1  0  0  0  0  1  0
## [3668,]  0  0  0  1  1  1  0  0  0  1  0  0  0  0  1  0
## [3669,]  0  0  0  0  1  2  0  0  0  1  0  0  0  0  1  0
## [3670,]  0  0  0  0  0  3  0  0  0  1  0  0  0  0  1  0
## [3671,]  0  0  0  0  0  2  1  0  0  1  0  0  0  0  1  0
## [3672,]  0  0  0  0  0  2  0  1  0  1  0  0  0  0  1  0
## [3673,]  0  0  0  0  0  1  1  0  1  1  0  0  0  0  1  0
## [3674,]  0  0  0  0  0  1  1  0  0  2  0  0  0  0  1  0
## [3675,]  0  0  0  0  0  1  1  0  0  1  1  0  0  0  1  0
## [3676,]  0  0  0  0  0  1  1  0  0  1  0  1  0  0  1  0
## [3677,]  0  0  0  0  0  1  0  1  0  1  0  0  1  0  1  0
## [3678,]  0  0  0  0  0  1  0  1  0  1  0  0  0  1  1  0
## [3679,]  0  0  0  0  0  1  0  1  0  1  0  0  0  0  2  0
## [3680,]  0  0  0  0  0  1  0  1  0  1  0  0  0  0  1  1
## [3681,]  1  0  0  0  0  0  1  0  1  1  0  0  0  0  1  0
## [3682,]  0  1  0  0  0  0  1  0  1  1  0  0  0  0  1  0
## [3683,]  0  0  1  0  0  0  1  0  1  1  0  0  0  0  1  0
## [3684,]  0  0  0  1  0  0  1  0  1  1  0  0  0  0  1  0
## [3685,]  0  0  0  0  1  0  1  0  0  2  0  0  0  0  1  0
## [3686,]  0  0  0  0  0  1  1  0  0  2  0  0  0  0  1  0
## [3687,]  0  0  0  0  0  0  2  0  0  2  0  0  0  0  1  0
## [3688,]  0  0  0  0  0  0  1  1  0  2  0  0  0  0  1  0
## [3689,]  0  0  0  0  0  0  1  0  1  1  1  0  0  0  1  0
## [3690,]  0  0  0  0  0  0  1  0  0  2  1  0  0  0  1  0
## [3691,]  0  0  0  0  0  0  1  0  0  1  2  0  0  0  1  0
## [3692,]  0  0  0  0  0  0  1  0  0  1  1  1  0  0  1  0
## [3693,]  0  0  0  0  0  0  1  0  0  1  0  1  1  0  1  0
## [3694,]  0  0  0  0  0  0  1  0  0  1  0  1  0  1  1  0
## [3695,]  0  0  0  0  0  0  1  0  0  1  0  1  0  0  2  0
## [3696,]  0  0  0  0  0  0  1  0  0  1  0  1  0  0  1  1
## [3697,]  1  0  0  0  0  0  0  1  0  1  0  0  1  0  1  0
## [3698,]  0  1  0  0  0  0  0  1  0  1  0  0  1  0  1  0
## [3699,]  0  0  1  0  0  0  0  1  0  1  0  0  1  0  1  0
## [3700,]  0  0  0  1  0  0  0  1  0  1  0  0  1  0  1  0
## [3701,]  0  0  0  0  1  0  0  1  0  1  0  0  0  1  1  0
## [3702,]  0  0  0  0  0  1  0  1  0  1  0  0  0  1  1  0
## [3703,]  0  0  0  0  0  0  1  1  0  1  0  0  0  1  1  0
## [3704,]  0  0  0  0  0  0  0  2  0  1  0  0  0  1  1  0
## [3705,]  0  0  0  0  0  0  0  1  1  1  0  0  0  0  2  0
## [3706,]  0  0  0  0  0  0  0  1  0  2  0  0  0  0  2  0
## [3707,]  0  0  0  0  0  0  0  1  0  1  1  0  0  0  2  0
## [3708,]  0  0  0  0  0  0  0  1  0  1  0  1  0  0  2  0
## [3709,]  0  0  0  0  0  0  0  1  0  1  0  0  1  0  1  1
## [3710,]  0  0  0  0  0  0  0  1  0  1  0  0  0  1  1  1
## [3711,]  0  0  0  0  0  0  0  1  0  1  0  0  0  0  2  1
## [3712,]  0  0  0  0  0  0  0  1  0  1  0  0  0  0  1  2
## [3713,]  2  0  0  0  0  0  0  0  1  0  1  0  0  0  1  0
## [3714,]  1  1  0  0  0  0  0  0  1  0  1  0  0  0  1  0
## [3715,]  1  0  1  0  0  0  0  0  1  0  1  0  0  0  1  0
## [3716,]  1  0  0  1  0  0  0  0  1  0  1  0  0  0  1  0
## [3717,]  0  1  0  0  1  0  0  0  1  0  1  0  0  0  1  0
## [3718,]  0  1  0  0  0  1  0  0  1  0  1  0  0  0  1  0
## [3719,]  0  1  0  0  0  0  1  0  1  0  1  0  0  0  1  0
## [3720,]  0  1  0  0  0  0  0  1  1  0  1  0  0  0  1  0
## [3721,]  0  0  1  0  0  0  0  0  2  0  1  0  0  0  1  0
## [3722,]  0  0  1  0  0  0  0  0  1  1  1  0  0  0  1  0
## [3723,]  0  0  1  0  0  0  0  0  1  0  2  0  0  0  1  0
## [3724,]  0  0  1  0  0  0  0  0  1  0  1  1  0  0  1  0
## [3725,]  0  0  0  1  0  0  0  0  1  0  1  0  1  0  1  0
## [3726,]  0  0  0  1  0  0  0  0  1  0  1  0  0  1  1  0
## [3727,]  0  0  0  1  0  0  0  0  1  0  1  0  0  0  2  0
## [3728,]  0  0  0  1  0  0  0  0  1  0  1  0  0  0  1  1
## [3729,]  1  0  0  0  1  0  0  0  0  1  1  0  0  0  1  0
## [3730,]  0  1  0  0  1  0  0  0  0  1  1  0  0  0  1  0
## [3731,]  0  0  1  0  1  0  0  0  0  1  1  0  0  0  1  0
## [3732,]  0  0  0  1  1  0  0  0  0  1  1  0  0  0  1  0
## [3733,]  0  0  0  0  1  1  0  0  0  1  1  0  0  0  1  0
## [3734,]  0  0  0  0  0  2  0  0  0  1  1  0  0  0  1  0
## [3735,]  0  0  0  0  0  1  1  0  0  1  1  0  0  0  1  0
## [3736,]  0  0  0  0  0  1  0  1  0  1  1  0  0  0  1  0
## [3737,]  0  0  0  0  0  0  1  0  1  1  1  0  0  0  1  0
## [3738,]  0  0  0  0  0  0  1  0  0  2  1  0  0  0  1  0
## [3739,]  0  0  0  0  0  0  1  0  0  1  2  0  0  0  1  0
## [3740,]  0  0  0  0  0  0  1  0  0  1  1  1  0  0  1  0
## [3741,]  0  0  0  0  0  0  0  1  0  1  1  0  1  0  1  0
## [3742,]  0  0  0  0  0  0  0  1  0  1  1  0  0  1  1  0
## [3743,]  0  0  0  0  0  0  0  1  0  1  1  0  0  0  2  0
## [3744,]  0  0  0  0  0  0  0  1  0  1  1  0  0  0  1  1
## [3745,]  1  0  0  0  0  0  0  0  1  0  2  0  0  0  1  0
## [3746,]  0  1  0  0  0  0  0  0  1  0  2  0  0  0  1  0
## [3747,]  0  0  1  0  0  0  0  0  1  0  2  0  0  0  1  0
## [3748,]  0  0  0  1  0  0  0  0  1  0  2  0  0  0  1  0
## [3749,]  0  0  0  0  1  0  0  0  0  1  2  0  0  0  1  0
## [3750,]  0  0  0  0  0  1  0  0  0  1  2  0  0  0  1  0
## [3751,]  0  0  0  0  0  0  1  0  0  1  2  0  0  0  1  0
## [3752,]  0  0  0  0  0  0  0  1  0  1  2  0  0  0  1  0
## [3753,]  0  0  0  0  0  0  0  0  1  0  3  0  0  0  1  0
## [3754,]  0  0  0  0  0  0  0  0  0  1  3  0  0  0  1  0
## [3755,]  0  0  0  0  0  0  0  0  0  0  4  0  0  0  1  0
## [3756,]  0  0  0  0  0  0  0  0  0  0  3  1  0  0  1  0
## [3757,]  0  0  0  0  0  0  0  0  0  0  2  1  1  0  1  0
## [3758,]  0  0  0  0  0  0  0  0  0  0  2  1  0  1  1  0
## [3759,]  0  0  0  0  0  0  0  0  0  0  2  1  0  0  2  0
## [3760,]  0  0  0  0  0  0  0  0  0  0  2  1  0  0  1  1
## [3761,]  1  0  0  0  0  0  0  0  0  0  1  1  1  0  1  0
## [3762,]  0  1  0  0  0  0  0  0  0  0  1  1  1  0  1  0
## [3763,]  0  0  1  0  0  0  0  0  0  0  1  1  1  0  1  0
## [3764,]  0  0  0  1  0  0  0  0  0  0  1  1  1  0  1  0
## [3765,]  0  0  0  0  1  0  0  0  0  0  1  1  0  1  1  0
## [3766,]  0  0  0  0  0  1  0  0  0  0  1  1  0  1  1  0
## [3767,]  0  0  0  0  0  0  1  0  0  0  1  1  0  1  1  0
## [3768,]  0  0  0  0  0  0  0  1  0  0  1  1  0  1  1  0
## [3769,]  0  0  0  0  0  0  0  0  1  0  1  1  0  0  2  0
## [3770,]  0  0  0  0  0  0  0  0  0  1  1  1  0  0  2  0
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## [3772,]  0  0  0  0  0  0  0  0  0  0  1  2  0  0  2  0
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## [3792,]  0  0  0  1  0  0  0  0  0  0  0  1  1  0  1  1
## [3793,]  1  0  0  0  1  0  0  0  0  0  0  1  0  1  1  0
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## [3796,]  0  0  0  1  1  0  0  0  0  0  0  1  0  1  1  0
## [3797,]  0  0  0  0  1  1  0  0  0  0  0  1  0  1  1  0
## [3798,]  0  0  0  0  0  2  0  0  0  0  0  1  0  1  1  0
## [3799,]  0  0  0  0  0  1  1  0  0  0  0  1  0  1  1  0
## [3800,]  0  0  0  0  0  1  0  1  0  0  0  1  0  1  1  0
## [3801,]  0  0  0  0  0  0  1  0  1  0  0  1  0  1  1  0
## [3802,]  0  0  0  0  0  0  1  0  0  1  0  1  0  1  1  0
## [3803,]  0  0  0  0  0  0  1  0  0  0  1  1  0  1  1  0
## [3804,]  0  0  0  0  0  0  1  0  0  0  0  2  0  1  1  0
## [3805,]  0  0  0  0  0  0  0  1  0  0  0  1  1  1  1  0
## [3806,]  0  0  0  0  0  0  0  1  0  0  0  1  0  2  1  0
## [3807,]  0  0  0  0  0  0  0  1  0  0  0  1  0  1  2  0
## [3808,]  0  0  0  0  0  0  0  1  0  0  0  1  0  1  1  1
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## [3812,]  0  0  0  1  0  0  0  0  1  0  0  1  0  0  2  0
## [3813,]  0  0  0  0  1  0  0  0  0  1  0  1  0  0  2  0
## [3814,]  0  0  0  0  0  1  0  0  0  1  0  1  0  0  2  0
## [3815,]  0  0  0  0  0  0  1  0  0  1  0  1  0  0  2  0
## [3816,]  0  0  0  0  0  0  0  1  0  1  0  1  0  0  2  0
## [3817,]  0  0  0  0  0  0  0  0  1  0  1  1  0  0  2  0
## [3818,]  0  0  0  0  0  0  0  0  0  1  1  1  0  0  2  0
## [3819,]  0  0  0  0  0  0  0  0  0  0  2  1  0  0  2  0
## [3820,]  0  0  0  0  0  0  0  0  0  0  1  2  0  0  2  0
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## [3823,]  0  0  0  0  0  0  0  0  0  0  0  2  0  0  3  0
## [3824,]  0  0  0  0  0  0  0  0  0  0  0  2  0  0  2  1
## [3825,]  1  0  0  0  0  0  0  0  0  0  0  1  1  0  1  1
## [3826,]  0  1  0  0  0  0  0  0  0  0  0  1  1  0  1  1
## [3827,]  0  0  1  0  0  0  0  0  0  0  0  1  1  0  1  1
## [3828,]  0  0  0  1  0  0  0  0  0  0  0  1  1  0  1  1
## [3829,]  0  0  0  0  1  0  0  0  0  0  0  1  0  1  1  1
## [3830,]  0  0  0  0  0  1  0  0  0  0  0  1  0  1  1  1
## [3831,]  0  0  0  0  0  0  1  0  0  0  0  1  0  1  1  1
## [3832,]  0  0  0  0  0  0  0  1  0  0  0  1  0  1  1  1
## [3833,]  0  0  0  0  0  0  0  0  1  0  0  1  0  0  2  1
## [3834,]  0  0  0  0  0  0  0  0  0  1  0  1  0  0  2  1
## [3835,]  0  0  0  0  0  0  0  0  0  0  1  1  0  0  2  1
## [3836,]  0  0  0  0  0  0  0  0  0  0  0  2  0  0  2  1
## [3837,]  0  0  0  0  0  0  0  0  0  0  0  1  1  0  1  2
## [3838,]  0  0  0  0  0  0  0  0  0  0  0  1  0  1  1  2
## [3839,]  0  0  0  0  0  0  0  0  0  0  0  1  0  0  2  2
## [3840,]  0  0  0  0  0  0  0  0  0  0  0  1  0  0  1  3
## [3841,]  3  0  0  0  0  0  0  0  0  0  0  0  1  0  0  1
## [3842,]  2  1  0  0  0  0  0  0  0  0  0  0  1  0  0  1
## [3843,]  2  0  1  0  0  0  0  0  0  0  0  0  1  0  0  1
## [3844,]  2  0  0  1  0  0  0  0  0  0  0  0  1  0  0  1
## [3845,]  1  1  0  0  1  0  0  0  0  0  0  0  1  0  0  1
## [3846,]  1  1  0  0  0  1  0  0  0  0  0  0  1  0  0  1
## [3847,]  1  1  0  0  0  0  1  0  0  0  0  0  1  0  0  1
## [3848,]  1  1  0  0  0  0  0  1  0  0  0  0  1  0  0  1
## [3849,]  1  0  1  0  0  0  0  0  1  0  0  0  1  0  0  1
## [3850,]  1  0  1  0  0  0  0  0  0  1  0  0  1  0  0  1
## [3851,]  1  0  1  0  0  0  0  0  0  0  1  0  1  0  0  1
## [3852,]  1  0  1  0  0  0  0  0  0  0  0  1  1  0  0  1
## [3853,]  1  0  0  1  0  0  0  0  0  0  0  0  2  0  0  1
## [3854,]  1  0  0  1  0  0  0  0  0  0  0  0  1  1  0  1
## [3855,]  1  0  0  1  0  0  0  0  0  0  0  0  1  0  1  1
## [3856,]  1  0  0  1  0  0  0  0  0  0  0  0  1  0  0  2
## [3857,]  1  1  0  0  1  0  0  0  0  0  0  0  1  0  0  1
## [3858,]  0  2  0  0  1  0  0  0  0  0  0  0  1  0  0  1
## [3859,]  0  1  1  0  1  0  0  0  0  0  0  0  1  0  0  1
## [3860,]  0  1  0  1  1  0  0  0  0  0  0  0  1  0  0  1
## [3861,]  0  1  0  0  1  1  0  0  0  0  0  0  1  0  0  1
## [3862,]  0  1  0  0  0  2  0  0  0  0  0  0  1  0  0  1
## [3863,]  0  1  0  0  0  1  1  0  0  0  0  0  1  0  0  1
## [3864,]  0  1  0  0  0  1  0  1  0  0  0  0  1  0  0  1
## [3865,]  0  1  0  0  0  0  1  0  1  0  0  0  1  0  0  1
## [3866,]  0  1  0  0  0  0  1  0  0  1  0  0  1  0  0  1
## [3867,]  0  1  0  0  0  0  1  0  0  0  1  0  1  0  0  1
## [3868,]  0  1  0  0  0  0  1  0  0  0  0  1  1  0  0  1
## [3869,]  0  1  0  0  0  0  0  1  0  0  0  0  2  0  0  1
## [3870,]  0  1  0  0  0  0  0  1  0  0  0  0  1  1  0  1
## [3871,]  0  1  0  0  0  0  0  1  0  0  0  0  1  0  1  1
## [3872,]  0  1  0  0  0  0  0  1  0  0  0  0  1  0  0  2
## [3873,]  1  0  1  0  0  0  0  0  1  0  0  0  1  0  0  1
## [3874,]  0  1  1  0  0  0  0  0  1  0  0  0  1  0  0  1
## [3875,]  0  0  2  0  0  0  0  0  1  0  0  0  1  0  0  1
## [3876,]  0  0  1  1  0  0  0  0  1  0  0  0  1  0  0  1
## [3877,]  0  0  1  0  1  0  0  0  0  1  0  0  1  0  0  1
## [3878,]  0  0  1  0  0  1  0  0  0  1  0  0  1  0  0  1
## [3879,]  0  0  1  0  0  0  1  0  0  1  0  0  1  0  0  1
## [3880,]  0  0  1  0  0  0  0  1  0  1  0  0  1  0  0  1
## [3881,]  0  0  1  0  0  0  0  0  1  0  1  0  1  0  0  1
## [3882,]  0  0  1  0  0  0  0  0  0  1  1  0  1  0  0  1
## [3883,]  0  0  1  0  0  0  0  0  0  0  2  0  1  0  0  1
## [3884,]  0  0  1  0  0  0  0  0  0  0  1  1  1  0  0  1
## [3885,]  0  0  1  0  0  0  0  0  0  0  0  1  2  0  0  1
## [3886,]  0  0  1  0  0  0  0  0  0  0  0  1  1  1  0  1
## [3887,]  0  0  1  0  0  0  0  0  0  0  0  1  1  0  1  1
## [3888,]  0  0  1  0  0  0  0  0  0  0  0  1  1  0  0  2
## [3889,]  1  0  0  1  0  0  0  0  0  0  0  0  2  0  0  1
## [3890,]  0  1  0  1  0  0  0  0  0  0  0  0  2  0  0  1
## [3891,]  0  0  1  1  0  0  0  0  0  0  0  0  2  0  0  1
## [3892,]  0  0  0  2  0  0  0  0  0  0  0  0  2  0  0  1
## [3893,]  0  0  0  1  1  0  0  0  0  0  0  0  1  1  0  1
## [3894,]  0  0  0  1  0  1  0  0  0  0  0  0  1  1  0  1
## [3895,]  0  0  0  1  0  0  1  0  0  0  0  0  1  1  0  1
## [3896,]  0  0  0  1  0  0  0  1  0  0  0  0  1  1  0  1
## [3897,]  0  0  0  1  0  0  0  0  1  0  0  0  1  0  1  1
## [3898,]  0  0  0  1  0  0  0  0  0  1  0  0  1  0  1  1
## [3899,]  0  0  0  1  0  0  0  0  0  0  1  0  1  0  1  1
## [3900,]  0  0  0  1  0  0  0  0  0  0  0  1  1  0  1  1
## [3901,]  0  0  0  1  0  0  0  0  0  0  0  0  2  0  0  2
## [3902,]  0  0  0  1  0  0  0  0  0  0  0  0  1  1  0  2
## [3903,]  0  0  0  1  0  0  0  0  0  0  0  0  1  0  1  2
## [3904,]  0  0  0  1  0  0  0  0  0  0  0  0  1  0  0  3
## [3905,]  2  0  0  0  1  0  0  0  0  0  0  0  0  1  0  1
## [3906,]  1  1  0  0  1  0  0  0  0  0  0  0  0  1  0  1
## [3907,]  1  0  1  0  1  0  0  0  0  0  0  0  0  1  0  1
## [3908,]  1  0  0  1  1  0  0  0  0  0  0  0  0  1  0  1
## [3909,]  0  1  0  0  2  0  0  0  0  0  0  0  0  1  0  1
## [3910,]  0  1  0  0  1  1  0  0  0  0  0  0  0  1  0  1
## [3911,]  0  1  0  0  1  0  1  0  0  0  0  0  0  1  0  1
## [3912,]  0  1  0  0  1  0  0  1  0  0  0  0  0  1  0  1
## [3913,]  0  0  1  0  1  0  0  0  1  0  0  0  0  1  0  1
## [3914,]  0  0  1  0  1  0  0  0  0  1  0  0  0  1  0  1
## [3915,]  0  0  1  0  1  0  0  0  0  0  1  0  0  1  0  1
## [3916,]  0  0  1  0  1  0  0  0  0  0  0  1  0  1  0  1
## [3917,]  0  0  0  1  1  0  0  0  0  0  0  0  1  1  0  1
## [3918,]  0  0  0  1  1  0  0  0  0  0  0  0  0  2  0  1
## [3919,]  0  0  0  1  1  0  0  0  0  0  0  0  0  1  1  1
## [3920,]  0  0  0  1  1  0  0  0  0  0  0  0  0  1  0  2
## [3921,]  1  0  0  0  1  1  0  0  0  0  0  0  0  1  0  1
## [3922,]  0  1  0  0  1  1  0  0  0  0  0  0  0  1  0  1
## [3923,]  0  0  1  0  1  1  0  0  0  0  0  0  0  1  0  1
## [3924,]  0  0  0  1  1  1  0  0  0  0  0  0  0  1  0  1
## [3925,]  0  0  0  0  1  2  0  0  0  0  0  0  0  1  0  1
## [3926,]  0  0  0  0  0  3  0  0  0  0  0  0  0  1  0  1
## [3927,]  0  0  0  0  0  2  1  0  0  0  0  0  0  1  0  1
## [3928,]  0  0  0  0  0  2  0  1  0  0  0  0  0  1  0  1
## [3929,]  0  0  0  0  0  1  1  0  1  0  0  0  0  1  0  1
## [3930,]  0  0  0  0  0  1  1  0  0  1  0  0  0  1  0  1
## [3931,]  0  0  0  0  0  1  1  0  0  0  1  0  0  1  0  1
## [3932,]  0  0  0  0  0  1  1  0  0  0  0  1  0  1  0  1
## [3933,]  0  0  0  0  0  1  0  1  0  0  0  0  1  1  0  1
## [3934,]  0  0  0  0  0  1  0  1  0  0  0  0  0  2  0  1
## [3935,]  0  0  0  0  0  1  0  1  0  0  0  0  0  1  1  1
## [3936,]  0  0  0  0  0  1  0  1  0  0  0  0  0  1  0  2
## [3937,]  1  0  0  0  0  0  1  0  1  0  0  0  0  1  0  1
## [3938,]  0  1  0  0  0  0  1  0  1  0  0  0  0  1  0  1
## [3939,]  0  0  1  0  0  0  1  0  1  0  0  0  0  1  0  1
## [3940,]  0  0  0  1  0  0  1  0  1  0  0  0  0  1  0  1
## [3941,]  0  0  0  0  1  0  1  0  0  1  0  0  0  1  0  1
## [3942,]  0  0  0  0  0  1  1  0  0  1  0  0  0  1  0  1
## [3943,]  0  0  0  0  0  0  2  0  0  1  0  0  0  1  0  1
## [3944,]  0  0  0  0  0  0  1  1  0  1  0  0  0  1  0  1
## [3945,]  0  0  0  0  0  0  1  0  1  0  1  0  0  1  0  1
## [3946,]  0  0  0  0  0  0  1  0  0  1  1  0  0  1  0  1
## [3947,]  0  0  0  0  0  0  1  0  0  0  2  0  0  1  0  1
## [3948,]  0  0  0  0  0  0  1  0  0  0  1  1  0  1  0  1
## [3949,]  0  0  0  0  0  0  1  0  0  0  0  1  1  1  0  1
## [3950,]  0  0  0  0  0  0  1  0  0  0  0  1  0  2  0  1
## [3951,]  0  0  0  0  0  0  1  0  0  0  0  1  0  1  1  1
## [3952,]  0  0  0  0  0  0  1  0  0  0  0  1  0  1  0  2
## [3953,]  1  0  0  0  0  0  0  1  0  0  0  0  1  1  0  1
## [3954,]  0  1  0  0  0  0  0  1  0  0  0  0  1  1  0  1
## [3955,]  0  0  1  0  0  0  0  1  0  0  0  0  1  1  0  1
## [3956,]  0  0  0  1  0  0  0  1  0  0  0  0  1  1  0  1
## [3957,]  0  0  0  0  1  0  0  1  0  0  0  0  0  2  0  1
## [3958,]  0  0  0  0  0  1  0  1  0  0  0  0  0  2  0  1
## [3959,]  0  0  0  0  0  0  1  1  0  0  0  0  0  2  0  1
## [3960,]  0  0  0  0  0  0  0  2  0  0  0  0  0  2  0  1
## [3961,]  0  0  0  0  0  0  0  1  1  0  0  0  0  1  1  1
## [3962,]  0  0  0  0  0  0  0  1  0  1  0  0  0  1  1  1
## [3963,]  0  0  0  0  0  0  0  1  0  0  1  0  0  1  1  1
## [3964,]  0  0  0  0  0  0  0  1  0  0  0  1  0  1  1  1
## [3965,]  0  0  0  0  0  0  0  1  0  0  0  0  1  1  0  2
## [3966,]  0  0  0  0  0  0  0  1  0  0  0  0  0  2  0  2
## [3967,]  0  0  0  0  0  0  0  1  0  0  0  0  0  1  1  2
## [3968,]  0  0  0  0  0  0  0  1  0  0  0  0  0  1  0  3
## [3969,]  2  0  0  0  0  0  0  0  1  0  0  0  0  0  1  1
## [3970,]  1  1  0  0  0  0  0  0  1  0  0  0  0  0  1  1
## [3971,]  1  0  1  0  0  0  0  0  1  0  0  0  0  0  1  1
## [3972,]  1  0  0  1  0  0  0  0  1  0  0  0  0  0  1  1
## [3973,]  0  1  0  0  1  0  0  0  1  0  0  0  0  0  1  1
## [3974,]  0  1  0  0  0  1  0  0  1  0  0  0  0  0  1  1
## [3975,]  0  1  0  0  0  0  1  0  1  0  0  0  0  0  1  1
## [3976,]  0  1  0  0  0  0  0  1  1  0  0  0  0  0  1  1
## [3977,]  0  0  1  0  0  0  0  0  2  0  0  0  0  0  1  1
## [3978,]  0  0  1  0  0  0  0  0  1  1  0  0  0  0  1  1
## [3979,]  0  0  1  0  0  0  0  0  1  0  1  0  0  0  1  1
## [3980,]  0  0  1  0  0  0  0  0  1  0  0  1  0  0  1  1
## [3981,]  0  0  0  1  0  0  0  0  1  0  0  0  1  0  1  1
## [3982,]  0  0  0  1  0  0  0  0  1  0  0  0  0  1  1  1
## [3983,]  0  0  0  1  0  0  0  0  1  0  0  0  0  0  2  1
## [3984,]  0  0  0  1  0  0  0  0  1  0  0  0  0  0  1  2
## [3985,]  1  0  0  0  1  0  0  0  0  1  0  0  0  0  1  1
## [3986,]  0  1  0  0  1  0  0  0  0  1  0  0  0  0  1  1
## [3987,]  0  0  1  0  1  0  0  0  0  1  0  0  0  0  1  1
## [3988,]  0  0  0  1  1  0  0  0  0  1  0  0  0  0  1  1
## [3989,]  0  0  0  0  1  1  0  0  0  1  0  0  0  0  1  1
## [3990,]  0  0  0  0  0  2  0  0  0  1  0  0  0  0  1  1
## [3991,]  0  0  0  0  0  1  1  0  0  1  0  0  0  0  1  1
## [3992,]  0  0  0  0  0  1  0  1  0  1  0  0  0  0  1  1
## [3993,]  0  0  0  0  0  0  1  0  1  1  0  0  0  0  1  1
## [3994,]  0  0  0  0  0  0  1  0  0  2  0  0  0  0  1  1
## [3995,]  0  0  0  0  0  0  1  0  0  1  1  0  0  0  1  1
## [3996,]  0  0  0  0  0  0  1  0  0  1  0  1  0  0  1  1
## [3997,]  0  0  0  0  0  0  0  1  0  1  0  0  1  0  1  1
## [3998,]  0  0  0  0  0  0  0  1  0  1  0  0  0  1  1  1
## [3999,]  0  0  0  0  0  0  0  1  0  1  0  0  0  0  2  1
## [4000,]  0  0  0  0  0  0  0  1  0  1  0  0  0  0  1  2
## [4001,]  1  0  0  0  0  0  0  0  1  0  1  0  0  0  1  1
## [4002,]  0  1  0  0  0  0  0  0  1  0  1  0  0  0  1  1
## [4003,]  0  0  1  0  0  0  0  0  1  0  1  0  0  0  1  1
## [4004,]  0  0  0  1  0  0  0  0  1  0  1  0  0  0  1  1
## [4005,]  0  0  0  0  1  0  0  0  0  1  1  0  0  0  1  1
## [4006,]  0  0  0  0  0  1  0  0  0  1  1  0  0  0  1  1
## [4007,]  0  0  0  0  0  0  1  0  0  1  1  0  0  0  1  1
## [4008,]  0  0  0  0  0  0  0  1  0  1  1  0  0  0  1  1
## [4009,]  0  0  0  0  0  0  0  0  1  0  2  0  0  0  1  1
## [4010,]  0  0  0  0  0  0  0  0  0  1  2  0  0  0  1  1
## [4011,]  0  0  0  0  0  0  0  0  0  0  3  0  0  0  1  1
## [4012,]  0  0  0  0  0  0  0  0  0  0  2  1  0  0  1  1
## [4013,]  0  0  0  0  0  0  0  0  0  0  1  1  1  0  1  1
## [4014,]  0  0  0  0  0  0  0  0  0  0  1  1  0  1  1  1
## [4015,]  0  0  0  0  0  0  0  0  0  0  1  1  0  0  2  1
## [4016,]  0  0  0  0  0  0  0  0  0  0  1  1  0  0  1  2
## [4017,]  1  0  0  0  0  0  0  0  0  0  0  1  1  0  1  1
## [4018,]  0  1  0  0  0  0  0  0  0  0  0  1  1  0  1  1
## [4019,]  0  0  1  0  0  0  0  0  0  0  0  1  1  0  1  1
## [4020,]  0  0  0  1  0  0  0  0  0  0  0  1  1  0  1  1
## [4021,]  0  0  0  0  1  0  0  0  0  0  0  1  0  1  1  1
## [4022,]  0  0  0  0  0  1  0  0  0  0  0  1  0  1  1  1
## [4023,]  0  0  0  0  0  0  1  0  0  0  0  1  0  1  1  1
## [4024,]  0  0  0  0  0  0  0  1  0  0  0  1  0  1  1  1
## [4025,]  0  0  0  0  0  0  0  0  1  0  0  1  0  0  2  1
## [4026,]  0  0  0  0  0  0  0  0  0  1  0  1  0  0  2  1
## [4027,]  0  0  0  0  0  0  0  0  0  0  1  1  0  0  2  1
## [4028,]  0  0  0  0  0  0  0  0  0  0  0  2  0  0  2  1
## [4029,]  0  0  0  0  0  0  0  0  0  0  0  1  1  0  1  2
## [4030,]  0  0  0  0  0  0  0  0  0  0  0  1  0  1  1  2
## [4031,]  0  0  0  0  0  0  0  0  0  0  0  1  0  0  2  2
## [4032,]  0  0  0  0  0  0  0  0  0  0  0  1  0  0  1  3
## [4033,]  2  0  0  0  0  0  0  0  0  0  0  0  1  0  0  2
## [4034,]  1  1  0  0  0  0  0  0  0  0  0  0  1  0  0  2
## [4035,]  1  0  1  0  0  0  0  0  0  0  0  0  1  0  0  2
## [4036,]  1  0  0  1  0  0  0  0  0  0  0  0  1  0  0  2
## [4037,]  0  1  0  0  1  0  0  0  0  0  0  0  1  0  0  2
## [4038,]  0  1  0  0  0  1  0  0  0  0  0  0  1  0  0  2
## [4039,]  0  1  0  0  0  0  1  0  0  0  0  0  1  0  0  2
## [4040,]  0  1  0  0  0  0  0  1  0  0  0  0  1  0  0  2
## [4041,]  0  0  1  0  0  0  0  0  1  0  0  0  1  0  0  2
## [4042,]  0  0  1  0  0  0  0  0  0  1  0  0  1  0  0  2
## [4043,]  0  0  1  0  0  0  0  0  0  0  1  0  1  0  0  2
## [4044,]  0  0  1  0  0  0  0  0  0  0  0  1  1  0  0  2
## [4045,]  0  0  0  1  0  0  0  0  0  0  0  0  2  0  0  2
## [4046,]  0  0  0  1  0  0  0  0  0  0  0  0  1  1  0  2
## [4047,]  0  0  0  1  0  0  0  0  0  0  0  0  1  0  1  2
## [4048,]  0  0  0  1  0  0  0  0  0  0  0  0  1  0  0  3
## [4049,]  1  0  0  0  1  0  0  0  0  0  0  0  0  1  0  2
## [4050,]  0  1  0  0  1  0  0  0  0  0  0  0  0  1  0  2
## [4051,]  0  0  1  0  1  0  0  0  0  0  0  0  0  1  0  2
## [4052,]  0  0  0  1  1  0  0  0  0  0  0  0  0  1  0  2
## [4053,]  0  0  0  0  1  1  0  0  0  0  0  0  0  1  0  2
## [4054,]  0  0  0  0  0  2  0  0  0  0  0  0  0  1  0  2
## [4055,]  0  0  0  0  0  1  1  0  0  0  0  0  0  1  0  2
## [4056,]  0  0  0  0  0  1  0  1  0  0  0  0  0  1  0  2
## [4057,]  0  0  0  0  0  0  1  0  1  0  0  0  0  1  0  2
## [4058,]  0  0  0  0  0  0  1  0  0  1  0  0  0  1  0  2
## [4059,]  0  0  0  0  0  0  1  0  0  0  1  0  0  1  0  2
## [4060,]  0  0  0  0  0  0  1  0  0  0  0  1  0  1  0  2
## [4061,]  0  0  0  0  0  0  0  1  0  0  0  0  1  1  0  2
## [4062,]  0  0  0  0  0  0  0  1  0  0  0  0  0  2  0  2
## [4063,]  0  0  0  0  0  0  0  1  0  0  0  0  0  1  1  2
## [4064,]  0  0  0  0  0  0  0  1  0  0  0  0  0  1  0  3
## [4065,]  1  0  0  0  0  0  0  0  1  0  0  0  0  0  1  2
## [4066,]  0  1  0  0  0  0  0  0  1  0  0  0  0  0  1  2
## [4067,]  0  0  1  0  0  0  0  0  1  0  0  0  0  0  1  2
## [4068,]  0  0  0  1  0  0  0  0  1  0  0  0  0  0  1  2
## [4069,]  0  0  0  0  1  0  0  0  0  1  0  0  0  0  1  2
## [4070,]  0  0  0  0  0  1  0  0  0  1  0  0  0  0  1  2
## [4071,]  0  0  0  0  0  0  1  0  0  1  0  0  0  0  1  2
## [4072,]  0  0  0  0  0  0  0  1  0  1  0  0  0  0  1  2
## [4073,]  0  0  0  0  0  0  0  0  1  0  1  0  0  0  1  2
## [4074,]  0  0  0  0  0  0  0  0  0  1  1  0  0  0  1  2
## [4075,]  0  0  0  0  0  0  0  0  0  0  2  0  0  0  1  2
## [4076,]  0  0  0  0  0  0  0  0  0  0  1  1  0  0  1  2
## [4077,]  0  0  0  0  0  0  0  0  0  0  0  1  1  0  1  2
## [4078,]  0  0  0  0  0  0  0  0  0  0  0  1  0  1  1  2
## [4079,]  0  0  0  0  0  0  0  0  0  0  0  1  0  0  2  2
## [4080,]  0  0  0  0  0  0  0  0  0  0  0  1  0  0  1  3
## [4081,]  1  0  0  0  0  0  0  0  0  0  0  0  1  0  0  3
## [4082,]  0  1  0  0  0  0  0  0  0  0  0  0  1  0  0  3
## [4083,]  0  0  1  0  0  0  0  0  0  0  0  0  1  0  0  3
## [4084,]  0  0  0  1  0  0  0  0  0  0  0  0  1  0  0  3
## [4085,]  0  0  0  0  1  0  0  0  0  0  0  0  0  1  0  3
## [4086,]  0  0  0  0  0  1  0  0  0  0  0  0  0  1  0  3
## [4087,]  0  0  0  0  0  0  1  0  0  0  0  0  0  1  0  3
## [4088,]  0  0  0  0  0  0  0  1  0  0  0  0  0  1  0  3
## [4089,]  0  0  0  0  0  0  0  0  1  0  0  0  0  0  1  3
## [4090,]  0  0  0  0  0  0  0  0  0  1  0  0  0  0  1  3
## [4091,]  0  0  0  0  0  0  0  0  0  0  1  0  0  0  1  3
## [4092,]  0  0  0  0  0  0  0  0  0  0  0  1  0  0  1  3
## [4093,]  0  0  0  0  0  0  0  0  0  0  0  0  1  0  0  4
## [4094,]  0  0  0  0  0  0  0  0  0  0  0  0  0  1  0  4
## [4095,]  0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  4
## [4096,]  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  5
# A C T 加起来一共7个 G两个
x.freq <- letterFrequency(x, c("ACT", "G"))
is(x.freq)  
## [1] "integer"             "numeric"             "vector"             
## [4] "data.frameRowLabels" "integer_OR_Linteger" "atomic"             
## [7] "vector_OR_factor"
x.freq  
## A|C|T     G 
##     7     2
# 3 kmer slide window
x.freq <- letterFrequencyInSlidingView(x, 3, c("ACT", "G"), OR = 0)
is(x.freq)
## [1] "matrix"           "array"            "structure"       
## [4] "vector"           "vector_OR_factor"
x.freq
##      A C T G
## [1,] 1 1 1 0
## [2,] 0 1 2 0
## [3,] 0 0 3 0
## [4,] 0 0 2 1
## [5,] 0 0 2 1
## [6,] 1 0 1 1
## [7,] 1 0 1 1

match

#countPattern
x <- DNAString("ACGTGTACCCGTAGT")
countPattern("ACGT", x)
## [1] 1
countPattern("ACGT", x, max.mismatch = 1)
## [1] 2
countPattern("NNGT", x, fixed = FALSE)
## [1] 4
vcountPattern("AAA", reads) %>% head()#计算多个碱基序列中的每一个
## [1] 4 3 3 3 2 2
#获得与模式匹配的位置
match <- matchPattern("NNGT", x, fixed = FALSE)
is(match)
## [1] "XStringViews" "Views"        "List"         "Vector"      
## [5] "Annotated"
match
##   Views on a 15-letter DNAString subject
## subject: ACGTGTACCCGTAGT
## views:
##     start end width
## [1]     1   4     4 [ACGT]
## [2]     3   6     4 [GTGT]
## [3]     9  12     4 [CCGT]
## [4]    12  15     4 [TAGT]
#特定模式与匹配位置的进行比较时,您可以看到那些位置不匹配
mismatch("CCGT", match)
## [[1]]
## [1] 1
## 
## [[2]]
## [1] 1 2
## 
## [[3]]
## integer(0)
## 
## [[4]]
## [1] 1 2
#获取多个碱基序列组中每一个的匹配位置
vmatch <- vmatchPattern("AAA", reads)
is(vmatch)
## [1] "ByPos_MIndex" "MIndex"       "IRangesList"  "RangesList"  
## [5] "List"         "Vector"       "Annotated"
vmatch
## MIndex object of length 4096
## [[1]]
## IRanges object with 4 ranges and 0 metadata columns:
##           start       end     width
##       <integer> <integer> <integer>
##   [1]         1         3         3
##   [2]         2         4         3
##   [3]         3         5         3
##   [4]         4         6         3
## 
## [[2]]
## IRanges object with 3 ranges and 0 metadata columns:
##           start       end     width
##       <integer> <integer> <integer>
##   [1]         1         3         3
##   [2]         2         4         3
##   [3]         3         5         3
## 
## [[3]]
## IRanges object with 3 ranges and 0 metadata columns:
##           start       end     width
##       <integer> <integer> <integer>
##   [1]         1         3         3
##   [2]         2         4         3
##   [3]         3         5         3
## 
## ...
## <4093 more elements>
vmatch[[2]]
## IRanges object with 3 ranges and 0 metadata columns:
##           start       end     width
##       <integer> <integer> <integer>
##   [1]         1         3         3
##   [2]         2         4         3
##   [3]         3         5         3
#获得与相同长度的多个图案匹配的位置
v <- c("AAA", "GGG", "CCC")
dictionary <- DNAStringSet(v)
pdict <- PDict(dictionary)
is(pdict)
## [1] "TB_PDict"  "PDict"     "List"      "Vector"    "Annotated"
pdict
## TB_PDict object of length 3 and width 3 (preprocessing algo="ACtree2")
y <- DNAString("AAAGCGAGAAACTCGAGGGTCGATGGCCCC")
pdmatch <- matchPDict(pdict, y)
is(pdmatch)
## [1] "ByPos_MIndex" "MIndex"       "IRangesList"  "RangesList"  
## [5] "List"         "Vector"       "Annotated"
pdmatch
## MIndex object of length 3
## [[1]]
## IRanges object with 2 ranges and 0 metadata columns:
##           start       end     width
##       <integer> <integer> <integer>
##   [1]         1         3         3
##   [2]         9        11         3
## 
## [[2]]
## IRanges object with 1 range and 0 metadata columns:
##           start       end     width
##       <integer> <integer> <integer>
##   [1]        17        19         3
## 
## [[3]]
## IRanges object with 2 ranges and 0 metadata columns:
##           start       end     width
##       <integer> <integer> <integer>
##   [1]        27        29         3
##   [2]        28        30         3
#当左右图案匹配时将其删除,提取中间的序列,零宽断言
trimLRPatterns(Lpattern = "CAA", Rpattern = "CCC", y) 
##   25-letter "DNAString" instance
## seq: AGCGAGAAACTCGAGGGTCGATGGC
#通过夹住左右图案来搜索匹配的部分序列,
matchLRPatterns(Lpattern = "AAA", Rpattern = "CCC", max.gaplength = 10,y)#max.gaplength: the max distance between the left and right parts of the pattern
##   Views on a 30-letter DNAString subject
## subject: AAAGCGAGAAACTCGAGGGTCGATGGCCCC
## views: NONE
#用引物模拟PCR产物
matchProbePair(Fprobe = "GAG", 
               Rprobe = "GGG", 
               subject = y)#y: A DNAString object target sequence
##   Views on a 30-letter DNAString subject
## subject: AAAGCGAGAAACTCGAGGGTCGATGGCCCC
## views:
##     start end width
## [1]     6  14     9 [GAGAAACTC]
## [2]    17  29    13 [GGGTCGATGGCCC]

Palindromes 回文序列

y <- DNAString("AAAGCGAGAAACTCGAGGGTCGATGGCCCC")
p <- findPalindromes(y, min.armlength = 4, max.looplength = 10)
is(p)
## [1] "XStringViews" "Views"        "List"         "Vector"      
## [5] "Annotated"
p
##   Views on a 30-letter DNAString subject
## subject: AAAGCGAGAAACTCGAGGGTCGATGGCCCC
## views:
##     start end width
## [1]     5  15    11 [CGAGAAACTCG]
## [2]    13  23    11 [TCGAGGGTCGA]
r <- y %>% complement %>% findPalindromes(., min.armlength = 4, max.looplength = 10)
is(r)
## [1] "XStringViews" "Views"        "List"         "Vector"      
## [5] "Annotated"
r
##   Views on a 30-letter DNAString subject
## subject: TTTCGCTCTTTGAGCTCCCAGCTACCGGGG
## views:
##     start end width
## [1]     5  15    11 [GCTCTTTGAGC]
## [2]    13  23    11 [AGCTCCCAGCT]

alignment

#全局比对
pairwiseAlignment(x, y, type = "global")
## Global PairwiseAlignmentsSingleSubject (1 of 1)
## pattern: [1] A---CGTGTACCCGTAGT 
## subject: [1] AAAGCGAGAAACTCGAGG 
## score: -105.4409
#局部比对
pairwiseAlignment(x, y, type = "local")
## Local PairwiseAlignmentsSingleSubject (1 of 1)
## pattern:  [8] CCC 
## subject: [27] CCC 
## score: 5.945268

fasta

fasta <- readDNAStringSet("/Users/zero/myrepo/jixingBlogdown/data/sequence_numb_human_primer_inter_range.fasta", format = "fasta")
is(fasta)
## [1] "DNAStringSet" "XStringSet"   "XRawList"     "XVectorList" 
## [5] "List"         "Vector"       "Annotated"
fasta
##   A DNAStringSet instance of length 1
##     width seq                                          names               
## [1]   227 GCAACCTAGTGTAAAGTCCAC...ATCCCTAACTCAGGAAGCTA NC_000014.9:c7346...
names(fasta)
## [1] "NC_000014.9:c73462350-73462124 Homo sapiens chromosome 14, GRCh38.p12 Primary Assembly"
length(fasta)
## [1] 1
width(fasta)
## [1] 227
fasta
##   A DNAStringSet instance of length 1
##     width seq                                          names               
## [1]   227 GCAACCTAGTGTAAAGTCCAC...ATCCCTAACTCAGGAAGCTA NC_000014.9:c7346...
fastq <- readDNAStringSet("/Users/zero/myrepo/jixingBlogdown/data/test.fastq", format = "fastq")
fastq
##   A DNAStringSet instance of length 1
##     width seq                                          names               
## [1]   227 GCAACCTAGTGTAAAGTCCAC...ATCCCTAACTCAGGAAGCTA NC_000014.9:c7346...
#fa2fq
writeXStringSet(fasta, file="test.fastq", format = "fastq")
#fq2fa
writeXStringSet(fastq, file = "test.fa", format = "fasta")

BSgenome

library(BSgenome)
ls("package:BSgenome")
##  [1] "alphabetFrequency"                      
##  [2] "as.data.frame"                          
##  [3] "as.data.frame.BSgenomeViews"            
##  [4] "as.list"                                
##  [5] "available.genomes"                      
##  [6] "available.SNPs"                         
##  [7] "batchsizes"                             
##  [8] "blocksizes"                             
##  [9] "breakpoints"                            
## [10] "bsapply"                                
## [11] "BSgenome"                               
## [12] "BSgenomeViews"                          
## [13] "coerce"                                 
## [14] "commonName"                             
## [15] "compatibleGenomes"                      
## [16] "consensusMatrix"                        
## [17] "consensusString"                        
## [18] "countPWM"                               
## [19] "elementNROWS"                           
## [20] "end"                                    
## [21] "export"                                 
## [22] "forgeBSgenomeDataPkg"                   
## [23] "forgeMaskedBSgenomeDataPkg"             
## [24] "forgeMasksFiles"                        
## [25] "forgeSeqFiles"                          
## [26] "forgeSeqlengthsFile"                    
## [27] "getBatchesByOverlapsFromOnDiskLongTable"
## [28] "getBatchesBySeqnameFromOnDiskLongTable" 
## [29] "getBatchesFromOnDiskLongTable"          
## [30] "getBatchesFromOnDiskLongTable_old"      
## [31] "getBSgenome"                            
## [32] "getRowsByIdFromOnDiskLongTable"         
## [33] "getRowsByIdFromOnDiskLongTable_old"     
## [34] "getRowsByIndexFromOnDiskLongTable_old"  
## [35] "getRowsFromOnDiskLongTable"             
## [36] "getSeq"                                 
## [37] "granges"                                
## [38] "hasOnlyBaseLetters"                     
## [39] "injectSNPs"                             
## [40] "installed.genomes"                      
## [41] "installed.SNPs"                         
## [42] "letterFrequency"                        
## [43] "MaskedBSgenome"                         
## [44] "masknames"                              
## [45] "matchPWM"                               
## [46] "mseqnames"                              
## [47] "nchar"                                  
## [48] "newSNPlocs"                             
## [49] "newXtraSNPlocs"                         
## [50] "nucleotideFrequencyAt"                  
## [51] "oligonucleotideFrequency"               
## [52] "OnDiskLongTable"                        
## [53] "OnDiskLongTable_old"                    
## [54] "organism"                               
## [55] "provider"                               
## [56] "providerVersion"                        
## [57] "ranges"                                 
## [58] "referenceGenome"                        
## [59] "releaseDate"                            
## [60] "releaseName"                            
## [61] "rowids"                                 
## [62] "saveAsOnDiskLongTable_old"              
## [63] "saveRowidsForOnDiskLongTable_old"       
## [64] "score"                                  
## [65] "seqinfo"                                
## [66] "seqinfo<-"                              
## [67] "seqnames"                               
## [68] "seqnames<-"                             
## [69] "seqtype"                                
## [70] "show"                                   
## [71] "snpcount"                               
## [72] "snpid2alleles"                          
## [73] "snpid2grange"                           
## [74] "snpid2loc"                              
## [75] "snplocs"                                
## [76] "SNPlocs_pkgname"                        
## [77] "snpsById"                               
## [78] "snpsByOverlaps"                         
## [79] "snpsBySeqname"                          
## [80] "sourceUrl"                              
## [81] "spatialIndex"                           
## [82] "start"                                  
## [83] "strand"                                 
## [84] "subject"                                
## [85] "uniqueLetters"                          
## [86] "vcountPattern"                          
## [87] "Views"                                  
## [88] "vmatchPattern"                          
## [89] "width"                                  
## [90] "writeBSgenomeToFasta"                   
## [91] "writeBSgenomeToTwobit"                  
## [92] "writeOnDiskLongTable"                   
## [93] "writeOnDiskLongTableRowids"
available.genomes()
##  [1] "BSgenome.Alyrata.JGI.v1"                  
##  [2] "BSgenome.Amellifera.BeeBase.assembly4"    
##  [3] "BSgenome.Amellifera.UCSC.apiMel2"         
##  [4] "BSgenome.Amellifera.UCSC.apiMel2.masked"  
##  [5] "BSgenome.Athaliana.TAIR.04232008"         
##  [6] "BSgenome.Athaliana.TAIR.TAIR9"            
##  [7] "BSgenome.Btaurus.UCSC.bosTau3"            
##  [8] "BSgenome.Btaurus.UCSC.bosTau3.masked"     
##  [9] "BSgenome.Btaurus.UCSC.bosTau4"            
## [10] "BSgenome.Btaurus.UCSC.bosTau4.masked"     
## [11] "BSgenome.Btaurus.UCSC.bosTau6"            
## [12] "BSgenome.Btaurus.UCSC.bosTau6.masked"     
## [13] "BSgenome.Btaurus.UCSC.bosTau8"            
## [14] "BSgenome.Celegans.UCSC.ce10"              
## [15] "BSgenome.Celegans.UCSC.ce11"              
## [16] "BSgenome.Celegans.UCSC.ce2"               
## [17] "BSgenome.Celegans.UCSC.ce6"               
## [18] "BSgenome.Cfamiliaris.UCSC.canFam2"        
## [19] "BSgenome.Cfamiliaris.UCSC.canFam2.masked" 
## [20] "BSgenome.Cfamiliaris.UCSC.canFam3"        
## [21] "BSgenome.Cfamiliaris.UCSC.canFam3.masked" 
## [22] "BSgenome.Dmelanogaster.UCSC.dm2"          
## [23] "BSgenome.Dmelanogaster.UCSC.dm2.masked"   
## [24] "BSgenome.Dmelanogaster.UCSC.dm3"          
## [25] "BSgenome.Dmelanogaster.UCSC.dm3.masked"   
## [26] "BSgenome.Dmelanogaster.UCSC.dm6"          
## [27] "BSgenome.Drerio.UCSC.danRer10"            
## [28] "BSgenome.Drerio.UCSC.danRer5"             
## [29] "BSgenome.Drerio.UCSC.danRer5.masked"      
## [30] "BSgenome.Drerio.UCSC.danRer6"             
## [31] "BSgenome.Drerio.UCSC.danRer6.masked"      
## [32] "BSgenome.Drerio.UCSC.danRer7"             
## [33] "BSgenome.Drerio.UCSC.danRer7.masked"      
## [34] "BSgenome.Ecoli.NCBI.20080805"             
## [35] "BSgenome.Gaculeatus.UCSC.gasAcu1"         
## [36] "BSgenome.Gaculeatus.UCSC.gasAcu1.masked"  
## [37] "BSgenome.Ggallus.UCSC.galGal3"            
## [38] "BSgenome.Ggallus.UCSC.galGal3.masked"     
## [39] "BSgenome.Ggallus.UCSC.galGal4"            
## [40] "BSgenome.Ggallus.UCSC.galGal4.masked"     
## [41] "BSgenome.Ggallus.UCSC.galGal5"            
## [42] "BSgenome.Hsapiens.1000genomes.hs37d5"     
## [43] "BSgenome.Hsapiens.NCBI.GRCh38"            
## [44] "BSgenome.Hsapiens.UCSC.hg17"              
## [45] "BSgenome.Hsapiens.UCSC.hg17.masked"       
## [46] "BSgenome.Hsapiens.UCSC.hg18"              
## [47] "BSgenome.Hsapiens.UCSC.hg18.masked"       
## [48] "BSgenome.Hsapiens.UCSC.hg19"              
## [49] "BSgenome.Hsapiens.UCSC.hg19.masked"       
## [50] "BSgenome.Hsapiens.UCSC.hg38"              
## [51] "BSgenome.Hsapiens.UCSC.hg38.masked"       
## [52] "BSgenome.Mfascicularis.NCBI.5.0"          
## [53] "BSgenome.Mfuro.UCSC.musFur1"              
## [54] "BSgenome.Mmulatta.UCSC.rheMac2"           
## [55] "BSgenome.Mmulatta.UCSC.rheMac2.masked"    
## [56] "BSgenome.Mmulatta.UCSC.rheMac3"           
## [57] "BSgenome.Mmulatta.UCSC.rheMac3.masked"    
## [58] "BSgenome.Mmulatta.UCSC.rheMac8"           
## [59] "BSgenome.Mmusculus.UCSC.mm10"             
## [60] "BSgenome.Mmusculus.UCSC.mm10.masked"      
## [61] "BSgenome.Mmusculus.UCSC.mm8"              
## [62] "BSgenome.Mmusculus.UCSC.mm8.masked"       
## [63] "BSgenome.Mmusculus.UCSC.mm9"              
## [64] "BSgenome.Mmusculus.UCSC.mm9.masked"       
## [65] "BSgenome.Osativa.MSU.MSU7"                
## [66] "BSgenome.Ptroglodytes.UCSC.panTro2"       
## [67] "BSgenome.Ptroglodytes.UCSC.panTro2.masked"
## [68] "BSgenome.Ptroglodytes.UCSC.panTro3"       
## [69] "BSgenome.Ptroglodytes.UCSC.panTro3.masked"
## [70] "BSgenome.Ptroglodytes.UCSC.panTro5"       
## [71] "BSgenome.Rnorvegicus.UCSC.rn4"            
## [72] "BSgenome.Rnorvegicus.UCSC.rn4.masked"     
## [73] "BSgenome.Rnorvegicus.UCSC.rn5"            
## [74] "BSgenome.Rnorvegicus.UCSC.rn5.masked"     
## [75] "BSgenome.Rnorvegicus.UCSC.rn6"            
## [76] "BSgenome.Scerevisiae.UCSC.sacCer1"        
## [77] "BSgenome.Scerevisiae.UCSC.sacCer2"        
## [78] "BSgenome.Scerevisiae.UCSC.sacCer3"        
## [79] "BSgenome.Sscrofa.UCSC.susScr3"            
## [80] "BSgenome.Sscrofa.UCSC.susScr3.masked"     
## [81] "BSgenome.Tgondii.ToxoDB.7.0"              
## [82] "BSgenome.Tguttata.UCSC.taeGut1"           
## [83] "BSgenome.Tguttata.UCSC.taeGut1.masked"    
## [84] "BSgenome.Tguttata.UCSC.taeGut2"           
## [85] "BSgenome.Vvinifera.URGI.IGGP12Xv0"        
## [86] "BSgenome.Vvinifera.URGI.IGGP12Xv2"        
## [87] "BSgenome.Vvinifera.URGI.IGGP8X"
installed.genomes()
## [1] "BSgenome.Hsapiens.UCSC.hg19"   "BSgenome.Mmusculus.UCSC.mm10" 
## [3] "BSgenome.Rnorvegicus.UCSC.rn5"
library("BSgenome.Mmusculus.UCSC.mm10")
ls("package:BSgenome.Mmusculus.UCSC.mm10")
## [1] "BSgenome.Mmusculus.UCSC.mm10" "Mmusculus"
Mmusculus
## Mouse genome:
## # organism: Mus musculus (Mouse)
## # provider: UCSC
## # provider version: mm10
## # release date: Dec. 2011
## # release name: Genome Reference Consortium GRCm38
## # 66 sequences:
## #   chr1                 chr2                 chr3                
## #   chr4                 chr5                 chr6                
## #   chr7                 chr8                 chr9                
## #   chr10                chr11                chr12               
## #   chr13                chr14                chr15               
## #   ...                  ...                  ...                 
## #   chrUn_GL456372       chrUn_GL456378       chrUn_GL456379      
## #   chrUn_GL456381       chrUn_GL456382       chrUn_GL456383      
## #   chrUn_GL456385       chrUn_GL456387       chrUn_GL456389      
## #   chrUn_GL456390       chrUn_GL456392       chrUn_GL456393      
## #   chrUn_GL456394       chrUn_GL456396       chrUn_JH584304      
## # (use 'seqnames()' to see all the sequence names, use the '$' or '[['
## # operator to access a given sequence)
is(Mmusculus)
## [1] "BSgenome"          "GenomeDescription"
seqinfo(Mmusculus)
## Seqinfo object with 66 sequences (1 circular) from mm10 genome:
##   seqnames       seqlengths isCircular genome
##   chr1            195471971      FALSE   mm10
##   chr2            182113224      FALSE   mm10
##   chr3            160039680      FALSE   mm10
##   chr4            156508116      FALSE   mm10
##   chr5            151834684      FALSE   mm10
##   ...                   ...        ...    ...
##   chrUn_GL456392      23629      FALSE   mm10
##   chrUn_GL456393      55711      FALSE   mm10
##   chrUn_GL456394      24323      FALSE   mm10
##   chrUn_GL456396      21240      FALSE   mm10
##   chrUn_JH584304     114452      FALSE   mm10
seqnames(Mmusculus)
##  [1] "chr1"                 "chr2"                 "chr3"                
##  [4] "chr4"                 "chr5"                 "chr6"                
##  [7] "chr7"                 "chr8"                 "chr9"                
## [10] "chr10"                "chr11"                "chr12"               
## [13] "chr13"                "chr14"                "chr15"               
## [16] "chr16"                "chr17"                "chr18"               
## [19] "chr19"                "chrX"                 "chrY"                
## [22] "chrM"                 "chr1_GL456210_random" "chr1_GL456211_random"
## [25] "chr1_GL456212_random" "chr1_GL456213_random" "chr1_GL456221_random"
## [28] "chr4_GL456216_random" "chr4_GL456350_random" "chr4_JH584292_random"
## [31] "chr4_JH584293_random" "chr4_JH584294_random" "chr4_JH584295_random"
## [34] "chr5_GL456354_random" "chr5_JH584296_random" "chr5_JH584297_random"
## [37] "chr5_JH584298_random" "chr5_JH584299_random" "chr7_GL456219_random"
## [40] "chrX_GL456233_random" "chrY_JH584300_random" "chrY_JH584301_random"
## [43] "chrY_JH584302_random" "chrY_JH584303_random" "chrUn_GL456239"      
## [46] "chrUn_GL456359"       "chrUn_GL456360"       "chrUn_GL456366"      
## [49] "chrUn_GL456367"       "chrUn_GL456368"       "chrUn_GL456370"      
## [52] "chrUn_GL456372"       "chrUn_GL456378"       "chrUn_GL456379"      
## [55] "chrUn_GL456381"       "chrUn_GL456382"       "chrUn_GL456383"      
## [58] "chrUn_GL456385"       "chrUn_GL456387"       "chrUn_GL456389"      
## [61] "chrUn_GL456390"       "chrUn_GL456392"       "chrUn_GL456393"      
## [64] "chrUn_GL456394"       "chrUn_GL456396"       "chrUn_JH584304"
seqlevels(Mmusculus)
##  [1] "chr1"                 "chr2"                 "chr3"                
##  [4] "chr4"                 "chr5"                 "chr6"                
##  [7] "chr7"                 "chr8"                 "chr9"                
## [10] "chr10"                "chr11"                "chr12"               
## [13] "chr13"                "chr14"                "chr15"               
## [16] "chr16"                "chr17"                "chr18"               
## [19] "chr19"                "chrX"                 "chrY"                
## [22] "chrM"                 "chr1_GL456210_random" "chr1_GL456211_random"
## [25] "chr1_GL456212_random" "chr1_GL456213_random" "chr1_GL456221_random"
## [28] "chr4_GL456216_random" "chr4_GL456350_random" "chr4_JH584292_random"
## [31] "chr4_JH584293_random" "chr4_JH584294_random" "chr4_JH584295_random"
## [34] "chr5_GL456354_random" "chr5_JH584296_random" "chr5_JH584297_random"
## [37] "chr5_JH584298_random" "chr5_JH584299_random" "chr7_GL456219_random"
## [40] "chrX_GL456233_random" "chrY_JH584300_random" "chrY_JH584301_random"
## [43] "chrY_JH584302_random" "chrY_JH584303_random" "chrUn_GL456239"      
## [46] "chrUn_GL456359"       "chrUn_GL456360"       "chrUn_GL456366"      
## [49] "chrUn_GL456367"       "chrUn_GL456368"       "chrUn_GL456370"      
## [52] "chrUn_GL456372"       "chrUn_GL456378"       "chrUn_GL456379"      
## [55] "chrUn_GL456381"       "chrUn_GL456382"       "chrUn_GL456383"      
## [58] "chrUn_GL456385"       "chrUn_GL456387"       "chrUn_GL456389"      
## [61] "chrUn_GL456390"       "chrUn_GL456392"       "chrUn_GL456393"      
## [64] "chrUn_GL456394"       "chrUn_GL456396"       "chrUn_JH584304"
seqlengths(Mmusculus)
##                 chr1                 chr2                 chr3 
##            195471971            182113224            160039680 
##                 chr4                 chr5                 chr6 
##            156508116            151834684            149736546 
##                 chr7                 chr8                 chr9 
##            145441459            129401213            124595110 
##                chr10                chr11                chr12 
##            130694993            122082543            120129022 
##                chr13                chr14                chr15 
##            120421639            124902244            104043685 
##                chr16                chr17                chr18 
##             98207768             94987271             90702639 
##                chr19                 chrX                 chrY 
##             61431566            171031299             91744698 
##                 chrM chr1_GL456210_random chr1_GL456211_random 
##                16299               169725               241735 
## chr1_GL456212_random chr1_GL456213_random chr1_GL456221_random 
##               153618                39340               206961 
## chr4_GL456216_random chr4_GL456350_random chr4_JH584292_random 
##                66673               227966                14945 
## chr4_JH584293_random chr4_JH584294_random chr4_JH584295_random 
##               207968               191905                 1976 
## chr5_GL456354_random chr5_JH584296_random chr5_JH584297_random 
##               195993               199368               205776 
## chr5_JH584298_random chr5_JH584299_random chr7_GL456219_random 
##               184189               953012               175968 
## chrX_GL456233_random chrY_JH584300_random chrY_JH584301_random 
##               336933               182347               259875 
## chrY_JH584302_random chrY_JH584303_random       chrUn_GL456239 
##               155838               158099                40056 
##       chrUn_GL456359       chrUn_GL456360       chrUn_GL456366 
##                22974                31704                47073 
##       chrUn_GL456367       chrUn_GL456368       chrUn_GL456370 
##                42057                20208                26764 
##       chrUn_GL456372       chrUn_GL456378       chrUn_GL456379 
##                28664                31602                72385 
##       chrUn_GL456381       chrUn_GL456382       chrUn_GL456383 
##                25871                23158                38659 
##       chrUn_GL456385       chrUn_GL456387       chrUn_GL456389 
##                35240                24685                28772 
##       chrUn_GL456390       chrUn_GL456392       chrUn_GL456393 
##                24668                23629                55711 
##       chrUn_GL456394       chrUn_GL456396       chrUn_JH584304 
##                24323                21240               114452
isCircular(Mmusculus)
##                 chr1                 chr2                 chr3 
##                FALSE                FALSE                FALSE 
##                 chr4                 chr5                 chr6 
##                FALSE                FALSE                FALSE 
##                 chr7                 chr8                 chr9 
##                FALSE                FALSE                FALSE 
##                chr10                chr11                chr12 
##                FALSE                FALSE                FALSE 
##                chr13                chr14                chr15 
##                FALSE                FALSE                FALSE 
##                chr16                chr17                chr18 
##                FALSE                FALSE                FALSE 
##                chr19                 chrX                 chrY 
##                FALSE                FALSE                FALSE 
##                 chrM chr1_GL456210_random chr1_GL456211_random 
##                 TRUE                FALSE                FALSE 
## chr1_GL456212_random chr1_GL456213_random chr1_GL456221_random 
##                FALSE                FALSE                FALSE 
## chr4_GL456216_random chr4_GL456350_random chr4_JH584292_random 
##                FALSE                FALSE                FALSE 
## chr4_JH584293_random chr4_JH584294_random chr4_JH584295_random 
##                FALSE                FALSE                FALSE 
## chr5_GL456354_random chr5_JH584296_random chr5_JH584297_random 
##                FALSE                FALSE                FALSE 
## chr5_JH584298_random chr5_JH584299_random chr7_GL456219_random 
##                FALSE                FALSE                FALSE 
## chrX_GL456233_random chrY_JH584300_random chrY_JH584301_random 
##                FALSE                FALSE                FALSE 
## chrY_JH584302_random chrY_JH584303_random       chrUn_GL456239 
##                FALSE                FALSE                FALSE 
##       chrUn_GL456359       chrUn_GL456360       chrUn_GL456366 
##                FALSE                FALSE                FALSE 
##       chrUn_GL456367       chrUn_GL456368       chrUn_GL456370 
##                FALSE                FALSE                FALSE 
##       chrUn_GL456372       chrUn_GL456378       chrUn_GL456379 
##                FALSE                FALSE                FALSE 
##       chrUn_GL456381       chrUn_GL456382       chrUn_GL456383 
##                FALSE                FALSE                FALSE 
##       chrUn_GL456385       chrUn_GL456387       chrUn_GL456389 
##                FALSE                FALSE                FALSE 
##       chrUn_GL456390       chrUn_GL456392       chrUn_GL456393 
##                FALSE                FALSE                FALSE 
##       chrUn_GL456394       chrUn_GL456396       chrUn_JH584304 
##                FALSE                FALSE                FALSE
mseqnames(Mmusculus)
## NULL
genome(Mmusculus)
##                 chr1                 chr2                 chr3 
##               "mm10"               "mm10"               "mm10" 
##                 chr4                 chr5                 chr6 
##               "mm10"               "mm10"               "mm10" 
##                 chr7                 chr8                 chr9 
##               "mm10"               "mm10"               "mm10" 
##                chr10                chr11                chr12 
##               "mm10"               "mm10"               "mm10" 
##                chr13                chr14                chr15 
##               "mm10"               "mm10"               "mm10" 
##                chr16                chr17                chr18 
##               "mm10"               "mm10"               "mm10" 
##                chr19                 chrX                 chrY 
##               "mm10"               "mm10"               "mm10" 
##                 chrM chr1_GL456210_random chr1_GL456211_random 
##               "mm10"               "mm10"               "mm10" 
## chr1_GL456212_random chr1_GL456213_random chr1_GL456221_random 
##               "mm10"               "mm10"               "mm10" 
## chr4_GL456216_random chr4_GL456350_random chr4_JH584292_random 
##               "mm10"               "mm10"               "mm10" 
## chr4_JH584293_random chr4_JH584294_random chr4_JH584295_random 
##               "mm10"               "mm10"               "mm10" 
## chr5_GL456354_random chr5_JH584296_random chr5_JH584297_random 
##               "mm10"               "mm10"               "mm10" 
## chr5_JH584298_random chr5_JH584299_random chr7_GL456219_random 
##               "mm10"               "mm10"               "mm10" 
## chrX_GL456233_random chrY_JH584300_random chrY_JH584301_random 
##               "mm10"               "mm10"               "mm10" 
## chrY_JH584302_random chrY_JH584303_random       chrUn_GL456239 
##               "mm10"               "mm10"               "mm10" 
##       chrUn_GL456359       chrUn_GL456360       chrUn_GL456366 
##               "mm10"               "mm10"               "mm10" 
##       chrUn_GL456367       chrUn_GL456368       chrUn_GL456370 
##               "mm10"               "mm10"               "mm10" 
##       chrUn_GL456372       chrUn_GL456378       chrUn_GL456379 
##               "mm10"               "mm10"               "mm10" 
##       chrUn_GL456381       chrUn_GL456382       chrUn_GL456383 
##               "mm10"               "mm10"               "mm10" 
##       chrUn_GL456385       chrUn_GL456387       chrUn_GL456389 
##               "mm10"               "mm10"               "mm10" 
##       chrUn_GL456390       chrUn_GL456392       chrUn_GL456393 
##               "mm10"               "mm10"               "mm10" 
##       chrUn_GL456394       chrUn_GL456396       chrUn_JH584304 
##               "mm10"               "mm10"               "mm10"
Mmusculus[["chr19"]]
##   61431566-letter "DNAString" instance
## seq: NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN...NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN
Mmusculus[[seqnames(Mmusculus)[19]]]
##   61431566-letter "DNAString" instance
## seq: NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN...NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN
Mmusculus$chr19
##   61431566-letter "DNAString" instance
## seq: NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN...NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN
mm9.chr19 <- BSgenome.Mmusculus.UCSC.mm10::Mmusculus$chr19

is(mm9.chr19)
## [1] "DNAString" "XString"   "XRaw"      "XVector"   "Vector"    "Annotated"
mm9.chr19
##   61431566-letter "DNAString" instance
## seq: NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN...NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN
countPattern("CACGTG", mm9.chr19)
## [1] 6849
masknames(Mmusculus)
## NULL
available.SNPs()
##  [1] "SNPlocs.Hsapiens.dbSNP.20101109"     
##  [2] "SNPlocs.Hsapiens.dbSNP.20120608"     
##  [3] "SNPlocs.Hsapiens.dbSNP141.GRCh38"    
##  [4] "SNPlocs.Hsapiens.dbSNP142.GRCh37"    
##  [5] "SNPlocs.Hsapiens.dbSNP144.GRCh37"    
##  [6] "SNPlocs.Hsapiens.dbSNP144.GRCh38"    
##  [7] "SNPlocs.Hsapiens.dbSNP149.GRCh38"    
##  [8] "SNPlocs.Hsapiens.dbSNP150.GRCh38"    
##  [9] "XtraSNPlocs.Hsapiens.dbSNP141.GRCh38"
## [10] "XtraSNPlocs.Hsapiens.dbSNP144.GRCh37"
## [11] "XtraSNPlocs.Hsapiens.dbSNP144.GRCh38"