{-|
Module:      Elocrypt.Trigraph
Description: Generate a frequency trigraph based on an english dictionary
Copyright:   (c) Sean Gillespie, 2015
License:     OtherLicense
Maintainer:  Sean Gillespie <sean@mistersg.net>
Stability:   Experimental

Generate a letter frequency trigraph, based on a dictionary
-}
module Elocrypt.Trigraph where

import Control.Monad
import Data.List

-- |Search for the character frequencies based on the first a two-letter string
findFrequency :: String -> Maybe [Rational]
findFrequency s = snd `liftM` find ((==) s . fst) frequencies

-- | A map of character frequencies, based on a dictionary.  The key is a two-letter
--   string, and the value is a list of probabilities (a-z). It's form is:
--
-- > [("aa", [2,0,3,0,0,0,1,0,0,0,0,1,1,1,0,0,0,3,2,0,0,0,0,0,0,0]),
-- > ...
-- >  ("zz", [7,0,0,0,1,0,0,0,7,0,0,17,0,0,2,0,0,0,0,0,0,0,1,0,5,0])]
frequencies :: [(String, [Rational])]
frequencies = [("aa", [2,0,3,0,0,0,1,0,0,0,0,1,1,1,0,0,0,3,2,0,0,0,0,0,0,0]),
               ("ab", [37,25,2,5,38,0,0,2,46,1,0,304,0,2,49,0,0,24,24,0,19,0,0,0,14,0]),
               ("ac", [26,1,64,2,107,0,1,94,67,0,173,13,5,1,35,1,13,32,3,114,23,0,0,0,45,0]),
               ("ad", [35,7,3,43,116,6,3,8,75,14,1,16,25,3,44,3,1,35,20,1,10,25,9,0,18,0]),
               ("ae", [2,0,2,1,0,1,3,0,0,0,0,10,0,2,3,0,0,12,6,0,2,0,0,0,0,0]),
               ("af", [5,0,0,0,14,50,2,0,3,0,2,5,0,2,7,0,0,5,1,39,1,0,0,0,1,0]),
               ("ag", [30,1,0,1,182,0,42,5,30,0,0,7,9,42,51,3,0,24,3,0,21,0,3,0,3,0]),
               ("ah", [12,0,0,0,20,0,0,0,3,0,0,5,4,2,13,0,0,2,0,0,1,0,0,0,0,0]),
               ("ai", [2,0,10,26,2,1,10,0,2,1,2,87,13,144,0,2,0,93,30,23,0,3,1,0,0,0]),
               ("aj", [4,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0]),
               ("ak", [11,0,1,1,98,1,0,1,15,0,0,3,0,0,5,1,0,3,0,1,2,0,3,0,8,0]),
               ("al", [78,20,34,45,124,21,24,5,109,0,28,237,31,3,53,23,0,7,16,69,29,26,5,0,26,2]),
               ("am", [70,57,1,1,98,3,0,1,68,0,0,3,38,2,43,69,0,3,14,3,12,0,2,0,14,0]),
               ("an", [114,6,156,359,103,8,146,12,141,2,57,4,0,89,61,1,4,1,124,443,29,6,1,3,28,9]),
               ("ao", [0,0,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,3,2,2,2,0,0,0,0,0]),
               ("ap", [29,3,0,1,59,1,0,86,25,0,1,14,1,1,37,94,0,9,22,30,8,0,0,0,9,0]),
               ("aq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0]),
               ("ar", [124,64,101,233,115,12,47,5,188,3,61,55,68,34,46,25,6,94,48,189,5,22,5,1,172,2]),
               ("as", [19,3,32,0,71,0,1,81,49,0,22,3,19,2,19,34,4,0,152,211,12,0,1,0,17,1]),
               ("at", [50,3,41,2,863,4,0,144,352,0,5,14,6,3,144,0,0,60,13,106,57,1,5,0,8,5]),
               ("au", [0,5,23,35,5,5,38,1,0,1,3,33,4,23,0,4,1,35,52,56,0,1,0,7,0,1]),
               ("av", [35,0,0,1,108,0,0,0,49,0,0,1,0,0,19,0,0,0,0,0,3,1,0,0,6,0]),
               ("aw", [30,10,0,4,3,6,2,2,2,0,10,13,4,15,3,0,0,6,3,5,0,0,0,0,2,0]),
               ("ax", [3,0,0,0,4,0,0,0,22,0,0,1,0,0,7,2,0,0,1,1,0,0,3,0,3,0]),
               ("ay", [11,8,1,5,16,5,1,2,2,0,0,10,7,4,13,1,0,3,5,7,3,0,5,0,0,0]),
               ("az", [10,0,0,1,22,0,0,0,10,0,0,0,0,0,7,0,0,0,0,2,2,0,0,0,4,11]),
               ("ba", [0,17,74,11,1,2,19,4,8,0,10,68,7,73,1,7,0,110,54,55,9,1,3,1,12,1]),
               ("bb", [7,0,0,0,16,0,0,0,10,0,0,24,0,0,9,0,0,2,3,0,2,0,0,0,14,0]),
               ("bc", [2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("bd", [2,0,0,0,2,0,0,0,2,0,0,0,0,0,3,0,0,1,0,0,3,0,0,0,0,0]),
               ("be", [51,1,14,34,18,11,16,7,9,0,1,85,5,48,2,2,2,199,36,41,0,4,5,1,6,2]),
               ("bf", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0]),
               ("bg", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("bh", [0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0]),
               ("bi", [34,8,22,21,8,3,9,1,0,3,1,50,7,45,16,4,2,29,22,59,4,4,0,0,0,3]),
               ("bj", [0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]),
               ("bk", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("bl", [57,0,0,0,519,0,0,0,35,0,0,0,0,0,47,0,0,0,0,0,32,1,0,0,3,0]),
               ("bm", [0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0]),
               ("bn", [1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]),
               ("bo", [62,7,4,21,3,2,9,3,8,1,1,46,8,63,58,2,0,55,15,20,46,6,17,10,19,0]),
               ("bp", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0]),
               ("bq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("br", [110,0,0,0,77,0,0,0,100,0,0,0,0,0,78,0,0,0,0,0,28,0,0,0,10,0]),
               ("bs", [0,0,6,0,16,0,0,0,7,0,0,0,0,0,12,0,0,0,0,27,2,0,0,0,0,0]),
               ("bt", [1,0,0,0,3,1,0,0,0,0,0,4,0,0,1,0,0,3,0,0,0,0,0,0,0,0]),
               ("bu", [0,3,21,16,3,5,14,0,12,1,2,52,7,20,2,0,1,104,44,54,0,0,0,3,1,5]),
               ("bv", [0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("bw", [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("bx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("by", [1,0,0,0,3,0,1,2,0,0,0,4,0,0,0,3,0,6,8,3,0,0,2,0,0,2]),
               ("bz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ca", [1,47,17,33,1,3,4,5,7,1,3,120,40,120,1,59,1,171,60,150,19,20,1,0,5,0]),
               ("cb", [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0]),
               ("cc", [23,0,0,0,22,0,0,5,13,0,0,13,0,0,26,0,0,7,0,0,27,0,0,0,0,0]),
               ("cd", [1,0,1,0,1,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0]),
               ("ce", [23,6,4,17,6,6,1,2,13,0,0,50,12,109,7,43,0,76,63,22,1,0,4,0,2,1]),
               ("cf", [2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("cg", [0,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,4,1,0,1,0,0,0,0,0]),
               ("ch", [165,10,2,3,176,4,3,1,141,0,0,26,20,16,102,1,0,63,8,10,44,0,13,0,20,0]),
               ("ci", [76,15,8,33,24,16,3,0,0,0,0,38,5,45,50,28,0,29,38,71,6,8,0,0,0,0]),
               ("cj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ck", [17,16,2,3,90,4,1,7,20,1,1,45,8,8,12,9,0,3,32,6,6,0,13,0,22,0]),
               ("cl", [95,0,0,0,84,0,0,0,50,0,0,0,0,0,54,0,0,0,0,0,34,0,0,0,3,0]),
               ("cm", [1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]),
               ("cn", [2,0,0,0,1,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0]),
               ("co", [33,16,40,22,14,10,11,12,9,1,1,101,218,421,24,56,2,129,37,40,86,22,25,4,4,2]),
               ("cp", [1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]),
               ("cq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0]),
               ("cr", [101,0,0,0,112,0,0,0,75,0,0,0,0,0,88,0,0,0,0,1,41,0,0,0,25,0]),
               ("cs", [0,0,0,0,0,0,0,0,3,0,0,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0]),
               ("ct", [44,0,0,0,12,2,0,0,113,0,0,0,2,0,94,0,0,46,0,0,42,0,1,0,3,0]),
               ("cu", [3,12,2,6,6,6,0,0,8,0,0,102,42,10,9,15,0,72,51,41,1,0,0,0,0,0]),
               ("cv", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("cw", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("cx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("cy", [5,1,20,0,0,0,1,0,0,0,0,3,0,2,2,4,0,3,2,9,0,0,0,0,0,0]),
               ("cz", [2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("da", [0,7,16,7,1,2,13,6,18,0,3,54,23,59,0,10,0,31,6,40,8,13,3,0,32,3]),
               ("db", [9,0,0,0,7,0,0,0,3,0,0,2,0,0,8,0,0,1,0,0,8,0,0,0,2,0]),
               ("dc", [5,0,0,0,0,0,0,2,0,0,0,2,0,0,3,0,0,0,0,0,2,0,0,0,0,0]),
               ("dd", [8,0,0,0,30,0,0,3,19,0,0,38,0,0,4,0,0,4,0,0,1,0,0,0,16,0]),
               ("de", [34,37,82,14,17,41,11,4,5,2,0,88,62,170,14,40,4,183,99,39,6,20,16,6,1,2]),
               ("df", [6,0,0,0,0,0,0,0,6,0,0,2,0,0,5,0,0,2,0,0,4,0,0,0,0,0]),
               ("dg", [4,0,0,0,73,0,0,0,2,0,1,1,1,0,0,0,0,1,0,0,2,0,1,0,3,0]),
               ("dh", [8,0,0,0,9,0,0,0,4,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0]),
               ("di", [100,10,104,12,33,26,31,1,1,0,1,22,22,65,57,15,0,20,138,53,20,31,1,6,0,1]),
               ("dj", [4,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,7,0,0,0,0,0]),
               ("dk", [0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("dl", [9,0,0,0,79,0,0,0,12,0,0,0,0,0,7,0,0,0,0,0,1,0,0,0,3,0]),
               ("dm", [13,0,0,0,3,0,0,0,21,0,0,0,0,0,11,0,0,0,0,0,1,0,0,0,0,0]),
               ("dn", [7,0,0,0,9,0,0,0,3,0,0,0,0,0,1,0,0,0,0,6,0,0,0,0,0,0]),
               ("do", [1,5,21,10,6,3,20,1,3,0,0,30,38,54,17,7,0,39,11,10,30,5,54,5,1,3]),
               ("dp", [6,0,0,0,1,0,0,1,3,0,0,1,0,0,7,0,0,1,0,0,0,0,0,0,0,0]),
               ("dq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0]),
               ("dr", [74,0,0,0,47,0,0,0,53,0,0,0,0,0,80,0,0,0,0,0,22,0,0,0,8,0]),
               ("ds", [1,0,3,0,10,0,0,9,5,0,1,3,10,0,16,8,0,0,0,31,1,0,2,0,0,0]),
               ("dt", [3,0,0,0,1,0,0,6,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]),
               ("du", [10,7,52,2,5,3,4,0,2,0,1,33,14,15,5,11,1,19,15,8,1,0,0,0,0,1]),
               ("dv", [3,0,0,0,13,0,0,0,7,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]),
               ("dw", [19,0,0,0,10,0,0,0,19,0,0,0,0,0,8,0,0,2,0,0,0,0,0,0,2,0]),
               ("dx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("dy", [4,2,1,2,3,1,2,0,1,0,1,4,4,12,0,0,0,0,8,1,0,0,1,0,0,0]),
               ("dz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]),
               ("ea", [0,39,34,110,0,12,13,3,0,0,50,68,38,71,0,13,1,117,80,112,28,19,7,0,0,1]),
               ("eb", [32,5,0,0,31,0,0,0,8,0,0,6,0,0,28,0,0,32,2,3,29,0,0,0,4,0]),
               ("ec", [33,0,9,2,51,0,0,39,49,0,47,26,0,0,59,0,0,35,2,206,42,0,0,0,2,0]),
               ("ed", [29,7,1,16,45,5,22,3,88,0,0,8,9,4,24,2,0,27,8,4,27,0,7,0,13,0]),
               ("ee", [2,4,13,63,1,6,1,4,10,0,19,23,13,66,1,42,0,43,9,34,1,4,6,0,0,8]),
               ("ef", [14,0,1,2,36,33,0,0,22,0,0,15,0,0,24,0,0,14,1,13,35,0,0,0,5,0]),
               ("eg", [48,1,0,0,36,1,15,2,38,0,0,7,4,4,26,0,0,38,0,0,19,0,0,0,4,0]),
               ("eh", [14,0,0,0,24,0,0,0,6,0,0,0,1,0,18,0,0,4,0,0,4,0,0,0,3,0]),
               ("ei", [8,0,5,13,2,1,42,0,1,1,2,13,7,59,1,1,0,10,25,22,0,7,0,0,0,2]),
               ("ej", [4,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0]),
               ("ek", [2,1,0,1,6,0,0,0,4,0,0,0,0,1,1,0,0,0,2,3,0,0,0,0,1,0]),
               ("el", [76,7,6,57,131,19,7,3,125,0,4,238,22,1,48,15,0,4,27,26,17,19,2,0,7,0]),
               ("em", [87,53,1,0,84,0,0,0,102,0,0,3,8,8,56,64,0,0,4,0,19,0,1,0,8,0]),
               ("en", [78,17,68,159,128,8,35,14,96,2,2,4,5,54,57,3,2,9,127,624,33,10,8,0,11,16]),
               ("eo", [0,0,8,10,0,6,7,1,2,0,0,23,10,38,0,16,0,14,6,4,41,3,2,2,0,1]),
               ("ep", [26,1,1,0,27,0,0,32,45,0,0,21,1,0,35,9,0,35,10,65,13,0,2,0,3,0]),
               ("eq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,59,0,0,0,0,0]),
               ("er", [217,57,66,22,190,41,70,13,200,3,14,40,134,117,113,42,2,123,167,135,23,58,22,1,123,1]),
               ("es", [17,7,74,6,58,1,3,25,82,0,3,6,17,5,34,52,7,0,222,278,18,2,1,0,6,0]),
               ("et", [78,3,19,0,129,4,0,93,105,0,1,3,2,2,50,1,0,73,5,113,17,0,4,0,32,4]),
               ("eu", [0,4,7,6,1,0,4,0,0,0,2,3,17,4,0,15,0,46,20,18,0,2,1,0,0,0]),
               ("ev", [29,0,0,0,121,0,0,0,56,0,0,0,0,0,26,0,0,2,1,0,2,2,0,0,3,1]),
               ("ew", [33,4,3,4,16,2,0,5,24,0,0,3,3,3,23,2,0,3,15,4,0,0,1,0,2,0]),
               ("ex", [29,0,43,0,20,0,0,14,21,0,0,0,0,0,15,78,1,0,0,72,12,0,0,1,2,0]),
               ("ey", [7,3,1,4,25,2,0,2,0,0,1,4,6,4,4,1,0,2,3,0,0,1,4,0,0,0]),
               ("ez", [1,0,0,0,9,0,0,0,1,0,0,0,0,0,4,0,0,1,0,0,1,1,0,0,2,3]),
               ("fa", [1,10,39,5,2,1,1,3,18,0,2,35,10,27,0,0,0,36,13,18,10,0,2,3,4,1]),
               ("fb", [2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fc", [1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fd", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]),
               ("fe", [18,5,24,6,12,0,2,0,6,0,1,25,6,18,2,0,0,114,17,15,4,2,2,0,1,0]),
               ("ff", [10,2,0,0,51,0,0,2,45,0,0,21,4,0,13,0,0,9,7,0,7,0,0,0,8,0]),
               ("fg", [1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fh", [2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fi", [9,9,58,18,42,7,11,0,0,0,0,29,2,53,0,0,0,40,41,18,0,2,0,10,0,3]),
               ("fj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("fk", [2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fl", [64,0,0,0,50,0,0,0,21,0,0,0,0,0,60,0,0,0,0,0,42,0,0,0,15,0]),
               ("fm", [6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fn", [0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fo", [5,1,8,2,1,0,7,0,6,0,0,34,1,8,32,2,0,165,5,0,25,1,2,7,1,0]),
               ("fp", [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fr", [64,0,0,0,66,0,0,0,35,0,0,0,0,0,35,0,0,0,0,0,11,0,0,0,3,0]),
               ("fs", [1,0,0,0,2,0,0,2,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0]),
               ("ft", [1,1,1,0,19,0,0,3,1,0,0,0,1,0,3,0,0,1,9,0,0,0,4,0,8,0]),
               ("fu", [0,0,4,2,1,0,9,0,0,2,0,119,7,24,0,0,0,28,31,6,0,0,0,0,0,2]),
               ("fv", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fw", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fy", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("fz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ga", [0,20,5,11,3,2,11,3,13,0,0,68,24,60,1,5,0,63,23,68,15,8,5,0,2,5]),
               ("gb", [4,0,0,0,1,0,0,0,3,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0]),
               ("gc", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("gd", [2,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0]),
               ("ge", [23,3,2,4,12,1,1,3,4,0,0,32,8,141,39,4,0,96,29,33,1,1,4,0,5,0]),
               ("gf", [0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0]),
               ("gg", [8,0,0,0,20,0,0,1,60,0,0,24,0,0,3,1,0,6,4,0,0,0,0,0,12,0]),
               ("gh", [18,4,1,1,12,2,1,1,2,0,1,4,0,3,12,1,0,1,3,153,2,0,3,0,1,0]),
               ("gi", [23,21,16,6,7,2,9,0,0,0,0,24,7,103,17,1,0,10,26,19,3,10,0,0,0,1]),
               ("gj", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("gk", [0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]),
               ("gl", [49,0,0,0,73,0,0,0,25,0,0,0,0,0,38,0,0,0,0,0,13,0,0,0,17,0]),
               ("gm", [23,0,0,0,12,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,1,0]),
               ("gn", [26,1,0,0,28,0,0,0,20,0,0,0,0,0,26,2,0,0,0,1,7,0,0,0,0,0]),
               ("go", [6,4,3,16,6,1,10,1,5,0,0,22,1,49,20,3,0,34,12,23,16,7,5,0,1,0]),
               ("gp", [0,0,0,0,1,0,0,0,3,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0]),
               ("gq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("gr", [216,0,0,0,97,0,0,0,43,0,0,0,0,0,50,0,0,0,0,0,14,0,0,0,3,0]),
               ("gs", [2,2,0,0,0,0,0,2,2,0,1,1,0,0,2,1,0,0,0,18,0,0,1,0,0,0]),
               ("gt", [2,0,0,0,0,0,0,8,3,0,0,0,0,0,17,0,0,1,0,0,0,0,0,0,0,0]),
               ("gu", [28,1,1,0,49,1,1,0,41,0,0,26,15,24,2,0,0,14,22,6,0,0,0,0,3,1]),
               ("gv", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("gw", [5,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0]),
               ("gx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("gy", [1,0,0,0,0,0,0,0,0,0,0,0,7,3,0,6,0,5,0,0,0,0,0,0,0,0]),
               ("gz", [2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ha", [2,26,15,20,6,8,22,3,31,0,11,90,66,171,3,25,0,142,30,49,20,11,20,0,13,8]),
               ("hb", [4,0,0,0,3,0,0,0,1,0,0,2,0,0,12,0,0,2,0,0,4,0,0,0,1,0]),
               ("hc", [1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0]),
               ("hd", [2,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0]),
               ("he", [123,5,22,33,37,5,3,0,27,0,0,87,65,86,17,7,1,311,57,42,11,11,14,8,11,2]),
               ("hf", [2,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,10,0,0,0,0,0]),
               ("hg", [1,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0]),
               ("hh", [1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("hi", [22,22,56,15,23,6,19,0,0,1,1,73,20,79,17,41,0,36,53,39,3,11,0,0,0,6]),
               ("hj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("hk", [0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("hl", [5,0,0,0,11,0,0,0,8,0,0,0,0,0,22,0,0,1,0,0,1,0,0,0,1,0]),
               ("hm", [21,0,0,0,15,0,0,0,6,0,0,0,1,0,7,0,0,0,2,0,1,0,0,0,0,0]),
               ("hn", [3,0,0,0,8,0,0,0,9,0,0,0,0,1,3,0,0,0,4,0,2,0,0,0,0,0]),
               ("ho", [13,18,13,25,17,5,13,0,7,1,4,101,62,62,44,29,0,130,45,33,81,8,28,0,6,2]),
               ("hp", [3,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0]),
               ("hq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]),
               ("hr", [20,0,0,0,23,0,0,0,40,0,0,1,0,0,72,0,0,0,0,0,13,0,0,0,3,0]),
               ("hs", [3,0,1,0,0,0,0,2,1,0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0,0]),
               ("ht", [3,0,2,1,21,9,1,7,5,0,0,1,4,3,4,1,0,2,7,1,1,0,3,0,6,0]),
               ("hu", [3,13,7,6,3,5,12,1,0,0,0,7,37,26,0,3,0,37,24,15,0,0,0,2,2,1]),
               ("hv", [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("hw", [17,0,0,0,5,0,0,2,5,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0]),
               ("hx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("hy", [5,1,1,39,1,0,3,0,1,0,0,13,9,0,0,25,0,9,29,9,0,0,0,1,0,0]),
               ("hz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ia", [0,33,20,8,1,0,17,5,1,0,2,169,20,230,0,3,0,30,13,91,0,1,1,2,0,1]),
               ("ib", [11,19,0,0,38,0,0,0,22,0,0,131,1,2,10,0,0,20,1,0,23,0,0,0,2,0]),
               ("ic", [161,0,3,0,113,0,0,62,113,0,142,15,0,4,46,0,0,12,5,53,42,0,0,0,7,0]),
               ("id", [51,2,0,31,232,0,30,0,46,1,0,5,1,8,10,1,0,1,10,5,11,0,7,0,9,0]),
               ("ie", [0,1,17,6,1,16,11,1,0,0,1,52,4,70,0,1,0,66,18,50,7,17,6,0,0,2]),
               ("if", [7,0,0,0,31,45,0,0,27,0,0,9,0,1,10,0,0,2,0,24,10,0,0,0,71,0]),
               ("ig", [48,0,0,0,41,0,30,147,30,0,0,4,15,57,20,1,0,23,3,1,15,0,1,0,2,2]),
               ("ih", [1,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ii", [1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ij", [3,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0]),
               ("ik", [6,0,0,0,17,0,0,0,3,0,1,0,0,0,3,0,0,0,0,1,2,0,0,0,1,0]),
               ("il", [60,10,6,36,106,6,5,7,90,0,13,253,14,0,24,1,0,1,10,31,6,6,5,0,10,0]),
               ("im", [76,26,0,0,94,1,0,1,53,0,0,1,38,1,30,133,0,1,8,0,17,0,0,0,2,0]),
               ("in", [212,12,143,168,396,83,435,26,94,8,43,9,6,44,70,3,10,2,139,205,35,46,4,4,15,1]),
               ("io", [2,2,20,10,1,0,9,0,0,0,0,28,12,604,0,8,0,25,13,24,139,3,2,3,0,1]),
               ("ip", [20,5,0,0,26,2,0,16,16,1,0,33,6,0,13,39,0,5,19,28,5,0,1,0,1,0]),
               ("iq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,0,0,0,0]),
               ("ir", [41,2,39,24,106,7,9,0,19,0,11,20,24,1,24,8,0,39,11,31,3,5,8,0,10,0]),
               ("is", [35,5,71,4,110,4,2,189,56,1,13,12,93,5,55,33,3,6,85,271,4,1,1,0,8,0]),
               ("it", [136,1,34,1,184,5,0,77,158,0,1,4,6,5,70,1,0,31,2,105,72,0,1,0,142,19]),
               ("iu", [0,0,1,0,0,0,0,0,0,0,0,1,121,1,0,0,0,1,19,0,0,0,0,0,0,0]),
               ("iv", [57,0,0,0,292,0,0,0,37,0,0,0,0,0,12,0,0,1,0,0,3,0,0,0,2,0]),
               ("iw", [3,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("ix", [1,0,0,0,2,1,1,0,3,0,0,0,0,0,4,0,0,0,0,9,1,0,0,0,1,0]),
               ("iy", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("iz", [9,0,0,0,13,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,1,1,0,0,0,16]),
               ("ja", [0,2,32,1,1,0,3,3,2,0,3,1,8,17,0,2,0,5,2,0,2,3,2,1,1,2]),
               ("jb", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jc", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jd", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("je", [4,0,24,1,1,3,0,1,0,2,0,2,0,6,2,0,0,11,9,5,0,0,6,0,0,0]),
               ("jf", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jg", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jh", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ji", [0,1,0,0,0,1,4,0,0,0,0,2,4,3,0,0,0,0,0,4,0,1,0,0,0,0]),
               ("jj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jk", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jl", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jm", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jn", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jo", [4,2,6,0,3,0,3,12,10,0,1,6,0,5,0,0,0,10,10,1,13,4,2,0,7,0]),
               ("jp", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jr", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("js", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jt", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ju", [3,3,0,19,0,0,8,0,2,2,2,8,5,24,0,1,0,15,9,5,0,1,0,2,0,0]),
               ("jv", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jw", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jy", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("jz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ka", [0,3,0,6,1,2,8,2,1,1,1,9,4,13,2,3,0,18,4,17,2,1,2,1,5,2]),
               ("kb", [3,0,0,0,3,0,0,0,2,0,0,0,0,0,11,0,0,1,0,0,1,0,0,0,0,0]),
               ("kc", [2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0]),
               ("kd", [3,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0]),
               ("ke", [4,3,0,7,28,3,3,2,1,0,0,20,5,55,3,3,0,59,18,56,2,1,4,0,27,0]),
               ("kf", [1,0,0,0,1,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0]),
               ("kg", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0]),
               ("kh", [9,0,0,0,2,0,0,0,0,0,0,0,1,0,8,0,0,1,0,1,0,0,0,0,0,0]),
               ("ki", [5,2,3,9,15,1,1,0,0,0,1,10,10,87,2,4,0,11,15,13,0,2,2,0,0,0]),
               ("kj", [2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("kk", [1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("kl", [15,0,0,0,46,0,0,0,13,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,2,0]),
               ("km", [13,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("kn", [5,0,0,0,11,0,0,0,10,0,0,0,0,0,24,0,0,0,0,0,8,0,0,0,0,0]),
               ("ko", [1,1,2,3,2,4,0,2,1,0,1,3,1,7,1,2,0,6,2,1,7,4,5,2,0,0]),
               ("kp", [2,0,0,0,0,0,0,0,4,0,0,4,0,0,5,0,0,0,0,0,0,0,0,0,0,0]),
               ("kq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("kr", [10,0,0,0,3,0,0,0,3,0,0,0,0,0,6,0,0,0,0,0,5,0,0,0,2,0]),
               ("ks", [2,2,1,0,1,0,1,9,5,0,1,0,4,0,8,3,0,0,0,11,4,0,1,0,1,0]),
               ("kt", [3,0,0,0,0,0,0,2,3,0,0,0,0,0,5,0,0,2,0,0,0,0,0,0,0,0]),
               ("ku", [0,0,0,2,0,0,0,1,0,0,0,5,1,1,0,8,0,2,1,1,0,0,1,0,1,0]),
               ("kv", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("kw", [9,0,0,0,4,0,0,1,2,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0]),
               ("kx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ky", [2,0,0,0,1,0,0,1,0,1,0,4,0,0,2,0,0,2,1,0,1,0,3,0,0,0]),
               ("kz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("la", [1,46,84,43,3,2,46,9,52,0,10,3,64,242,4,23,1,157,92,210,45,21,23,9,42,11]),
               ("lb", [12,0,0,0,17,0,0,0,3,0,0,2,0,0,13,0,0,4,0,0,4,0,0,0,2,0]),
               ("lc", [9,0,0,0,6,0,0,12,4,0,0,1,1,0,19,0,0,2,0,1,7,0,0,0,2,0]),
               ("ld", [2,3,2,0,41,4,0,1,16,0,0,1,2,3,13,1,0,8,9,2,3,0,5,0,3,0]),
               ("le", [94,25,75,44,36,13,55,9,26,1,1,9,55,121,22,22,0,77,84,115,12,29,14,30,75,1]),
               ("lf", [9,1,0,0,4,1,1,1,12,0,0,1,0,0,7,0,0,8,1,2,8,0,1,0,0,0]),
               ("lg", [16,0,0,0,12,0,0,0,10,0,0,0,0,0,6,0,0,6,0,0,0,0,0,0,0,0]),
               ("lh", [7,0,0,0,6,0,0,0,2,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0]),
               ("li", [82,33,140,26,43,37,73,0,0,1,6,11,46,238,50,40,13,5,90,127,12,36,0,3,0,7]),
               ("lj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("lk", [7,0,0,0,4,0,0,3,9,0,0,2,0,1,2,0,0,0,3,0,0,0,3,0,8,0]),
               ("ll", [128,12,2,4,169,7,2,4,152,1,0,0,7,0,100,2,0,1,10,2,41,0,7,0,53,0]),
               ("lm", [27,0,0,2,11,0,0,2,9,0,0,0,1,0,13,0,0,0,4,0,3,0,0,0,3,0]),
               ("ln", [0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0]),
               ("lo", [23,23,65,15,7,4,132,3,32,0,2,7,29,69,50,36,11,74,33,53,66,16,80,1,12,1]),
               ("lp", [11,0,0,0,3,1,0,21,5,0,0,0,1,0,6,0,0,3,1,4,0,0,0,0,1,0]),
               ("lq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("lr", [2,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,2,0,0,0,6,0]),
               ("ls", [7,1,0,0,16,0,0,8,23,0,1,0,1,0,20,3,0,0,1,23,0,0,1,0,2,0]),
               ("lt", [22,1,0,0,23,0,0,14,34,0,0,0,2,0,23,0,0,9,3,0,8,1,1,0,18,5]),
               ("lu", [5,17,26,18,31,5,13,0,5,2,4,8,68,31,15,5,0,21,68,56,0,4,0,13,0,1]),
               ("lv", [19,0,0,1,46,0,0,0,9,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0]),
               ("lw", [8,0,0,0,2,0,0,1,2,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,1,0]),
               ("lx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ly", [2,4,12,2,2,2,3,7,2,0,1,3,13,11,2,11,0,2,31,15,1,0,4,0,0,0]),
               ("lz", [2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ma", [0,10,59,34,3,0,57,7,31,3,25,104,6,326,2,4,0,144,49,192,10,2,3,11,14,7]),
               ("mb", [31,1,0,1,44,0,0,0,32,0,0,31,0,1,27,1,0,32,1,0,21,0,0,0,0,0]),
               ("mc", [3,1,17,6,2,2,9,3,5,0,9,3,3,4,2,1,0,0,0,0,0,0,0,0,0,0]),
               ("md", [0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0]),
               ("me", [30,6,8,45,3,2,14,1,4,0,1,51,19,283,10,4,0,125,39,128,0,2,9,3,4,1]),
               ("mf", [0,0,0,0,3,0,0,0,3,0,0,2,0,0,4,0,0,0,0,0,4,0,0,0,0,0]),
               ("mg", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("mh", [0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0]),
               ("mi", [19,0,93,54,8,2,19,0,0,1,2,76,9,194,4,0,1,21,96,109,10,0,0,5,0,1]),
               ("mj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("mk", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ml", [1,0,0,0,3,0,0,0,6,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0]),
               ("mm", [40,0,0,0,46,0,0,0,33,0,0,0,0,0,32,0,0,0,0,0,17,0,0,0,12,0]),
               ("mn", [12,0,0,0,4,0,0,0,10,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0]),
               ("mo", [4,10,13,28,4,1,14,3,11,0,6,47,10,168,16,3,0,107,40,45,56,8,1,1,1,2]),
               ("mp", [52,3,0,0,71,1,1,26,18,0,4,71,0,0,50,0,0,41,9,43,19,0,0,0,7,0]),
               ("mq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0]),
               ("mr", [2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0]),
               ("ms", [0,1,2,1,5,1,0,2,3,0,1,0,2,0,8,2,0,0,1,10,1,0,0,0,2,0]),
               ("mt", [0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0]),
               ("mu", [0,0,7,11,6,3,6,0,2,0,2,55,11,29,2,1,0,18,53,30,0,0,0,0,0,3]),
               ("mv", [0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("mw", [2,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("mx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("my", [0,0,11,0,5,0,1,0,0,0,0,1,0,2,7,0,0,7,7,4,0,0,0,0,0,0]),
               ("mz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("na", [2,24,33,23,6,3,30,6,20,0,9,115,29,59,2,31,0,94,28,159,19,10,5,0,1,5]),
               ("nb", [5,0,1,0,20,0,0,0,1,0,0,4,0,0,7,0,0,4,1,0,10,0,0,0,0,0]),
               ("nc", [25,0,0,0,190,0,0,87,51,0,1,18,0,0,62,0,0,16,0,36,21,0,0,0,8,0]),
               ("nd", [75,11,4,1,162,6,3,7,102,1,1,22,10,2,57,9,2,46,30,4,37,0,11,0,20,0]),
               ("ne", [34,12,36,12,29,17,16,4,14,0,0,45,16,20,25,8,6,88,80,84,32,12,37,18,45,3]),
               ("nf", [15,0,0,0,30,0,0,0,38,0,0,23,0,0,26,0,0,10,0,0,19,0,0,0,0,0]),
               ("ng", [22,8,0,3,114,6,0,15,18,0,3,51,5,0,20,2,0,24,24,28,38,0,2,0,9,0]),
               ("nh", [18,0,0,0,16,0,0,0,6,0,0,0,0,0,15,0,0,0,0,0,2,0,0,0,3,0]),
               ("ni", [90,9,148,14,33,27,35,4,1,0,5,12,25,44,26,21,7,4,87,94,29,11,0,4,0,4]),
               ("nj", [2,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,13,0,0,0,0,0]),
               ("nk", [6,0,1,0,22,4,1,1,10,0,0,12,2,0,1,1,0,2,2,3,0,0,0,0,9,0]),
               ("nl", [9,0,0,0,8,0,0,0,5,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,1,0]),
               ("nm", [8,0,0,0,5,0,0,0,2,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0]),
               ("nn", [39,0,0,0,74,0,0,0,52,0,1,0,0,0,23,0,0,0,1,0,14,0,1,0,25,0]),
               ("no", [4,18,21,10,4,4,15,0,11,0,0,30,60,34,11,11,0,80,32,47,52,18,24,7,2,2]),
               ("np", [0,0,0,0,1,0,0,0,1,0,0,4,0,0,6,0,0,0,0,0,2,0,0,0,0,0]),
               ("nq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,22,0,0,0,0,0]),
               ("nr", [3,0,1,0,1,0,0,0,6,0,0,0,0,0,6,0,0,0,0,0,3,0,0,0,6,0]),
               ("ns", [26,4,23,2,73,17,3,12,96,0,5,8,13,0,60,25,0,1,3,79,39,4,4,0,5,0]),
               ("nt", [143,1,1,1,175,2,2,64,209,0,0,13,3,1,65,1,0,114,3,0,32,0,2,0,21,1]),
               ("nu", [12,6,16,6,11,3,6,0,5,0,1,15,35,9,6,3,0,9,25,31,1,0,0,0,0,1]),
               ("nv", [15,0,0,0,43,0,0,0,20,0,0,0,0,0,17,0,0,0,0,0,4,0,0,0,1,0]),
               ("nw", [12,0,0,0,3,0,0,2,4,0,0,0,0,0,6,0,0,1,0,0,0,0,0,0,0,0]),
               ("nx", [0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0]),
               ("ny", [5,3,1,1,0,0,0,1,0,0,0,7,14,0,4,1,1,1,3,1,1,1,2,1,0,0]),
               ("nz", [10,0,0,0,5,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,5,0]),
               ("oa", [1,0,20,30,0,2,5,2,0,0,9,9,8,18,0,4,1,51,13,44,1,1,0,2,0,0]),
               ("ob", [17,24,2,2,28,2,0,1,32,4,0,19,0,1,16,0,0,5,26,3,8,3,1,0,2,0]),
               ("oc", [50,0,28,0,38,0,0,47,26,0,129,14,0,0,33,0,0,25,0,34,20,0,0,0,8,0]),
               ("od", [17,3,3,15,59,3,13,4,47,0,1,13,2,1,22,3,0,8,11,0,21,0,8,0,35,0]),
               ("oe", [0,6,1,7,0,3,0,1,6,0,1,10,3,13,1,0,1,10,15,6,2,7,0,3,1,0]),
               ("of", [7,0,0,0,4,63,0,0,10,0,0,4,1,0,6,0,0,1,0,15,4,0,0,0,1,0]),
               ("og", [34,2,0,1,44,1,22,3,15,1,0,11,3,11,7,0,0,80,1,2,18,0,1,0,83,0]),
               ("oh", [10,0,0,0,8,0,0,0,6,0,0,1,5,9,5,0,0,2,0,0,0,0,0,0,1,0]),
               ("oi", [3,1,12,53,1,1,2,0,0,0,1,27,0,51,0,0,0,11,39,8,0,0,0,1,0,0]),
               ("oj", [1,0,0,0,5,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]),
               ("ok", [5,2,1,0,48,0,0,1,7,0,1,4,0,0,3,1,0,0,5,0,3,0,1,0,6,0]),
               ("ol", [71,4,6,83,111,8,5,3,121,0,14,124,16,1,132,6,0,1,18,24,43,16,2,0,46,1]),
               ("om", [89,50,1,0,174,5,0,1,76,0,0,2,64,7,56,125,1,1,4,0,4,0,2,0,22,0]),
               ("on", [129,3,64,82,181,52,86,3,124,10,11,7,3,46,75,1,6,10,107,149,8,38,9,1,54,5]),
               ("oo", [0,2,4,92,0,22,4,1,0,0,68,42,42,44,0,19,0,21,21,68,0,3,0,0,0,2]),
               ("op", [28,1,2,0,71,0,2,82,32,1,3,16,1,1,45,29,0,17,14,21,10,0,2,0,19,0]),
               ("oq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0]),
               ("or", [122,26,31,96,138,7,34,2,143,0,61,8,85,76,61,59,1,58,46,211,11,4,9,0,116,1]),
               ("os", [31,4,24,0,107,0,3,18,102,0,2,7,9,1,18,42,2,0,63,127,5,1,2,0,8,0]),
               ("ot", [45,7,11,0,64,2,1,88,63,0,0,10,3,1,42,4,0,17,7,63,9,0,3,0,11,0]),
               ("ou", [3,11,17,13,3,3,62,1,6,0,0,32,1,137,0,11,1,86,445,103,0,7,0,1,0,2]),
               ("ov", [26,0,0,0,109,0,0,0,27,0,1,0,0,0,7,0,0,0,0,0,0,0,0,0,2,0]),
               ("ow", [18,14,2,13,48,6,0,8,8,0,1,28,7,83,1,8,0,5,13,2,2,0,1,0,4,1]),
               ("ox", [2,1,3,0,5,1,1,3,26,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,14,0]),
               ("oy", [15,1,4,6,3,1,0,0,1,0,0,3,0,1,4,1,0,1,2,1,0,0,0,0,0,0]),
               ("oz", [2,0,0,0,9,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,3,1]),
               ("pa", [0,8,38,11,1,0,18,0,17,0,2,50,5,73,1,23,1,176,50,101,18,5,7,1,10,2]),
               ("pb", [3,0,0,0,3,0,0,0,0,0,0,1,0,0,6,0,0,2,1,0,3,0,0,0,0,0]),
               ("pc", [0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0]),
               ("pd", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0]),
               ("pe", [51,1,62,34,19,4,8,0,3,1,2,47,2,108,4,10,0,292,22,50,3,1,8,2,2,4]),
               ("pf", [0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,3,0,0,0,0,0]),
               ("pg", [2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0]),
               ("ph", [56,0,0,2,88,0,0,0,76,0,0,3,0,1,97,0,0,13,1,3,5,0,0,0,79,0]),
               ("pi", [21,0,74,25,33,1,19,0,0,0,6,27,3,74,12,11,2,37,27,57,3,2,0,2,0,2]),
               ("pj", [1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("pk", [0,0,0,0,2,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("pl", [150,0,0,0,121,0,0,0,59,0,0,0,0,0,33,0,0,0,0,0,29,0,0,0,11,0]),
               ("pm", [6,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0]),
               ("pn", [0,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0]),
               ("po", [2,1,19,10,12,2,7,0,31,0,12,111,14,55,23,17,0,97,126,52,20,3,13,3,2,0]),
               ("pp", [16,0,0,0,48,0,0,1,20,0,0,32,1,0,25,0,0,32,3,0,1,0,0,0,16,0]),
               ("pq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("pr", [39,0,0,0,166,0,0,0,104,0,0,0,0,0,273,0,0,0,0,0,12,0,0,0,1,0]),
               ("ps", [4,1,3,0,17,0,0,5,22,0,1,1,2,0,13,0,0,0,0,14,6,0,1,0,35,0]),
               ("pt", [16,0,1,0,9,0,0,3,107,0,0,0,0,0,33,0,0,3,0,0,19,0,0,0,4,0]),
               ("pu", [1,8,4,8,3,6,4,0,1,0,1,41,8,22,0,9,0,39,18,28,0,0,0,0,0,1]),
               ("pv", [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("pw", [3,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0]),
               ("px", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("py", [1,2,0,0,0,0,3,0,1,0,1,3,0,0,1,0,0,20,0,3,0,0,1,0,0,0]),
               ("pz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qa", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0]),
               ("qb", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qc", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qd", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qe", [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qf", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qg", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qh", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qi", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qk", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ql", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qm", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qn", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qo", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qp", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qr", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qs", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qt", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qu", [110,0,0,0,100,0,0,0,128,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,3,0]),
               ("qv", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qw", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qy", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("qz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ra", [0,72,130,95,8,35,73,14,85,3,10,121,95,313,2,119,1,26,66,277,19,45,28,2,28,13]),
               ("rb", [32,0,0,0,26,0,0,0,35,0,0,4,0,0,44,0,0,3,1,0,9,0,0,0,5,0]),
               ("rc", [18,0,2,0,47,0,0,86,25,0,3,11,0,0,13,0,0,1,2,7,38,0,0,0,4,0]),
               ("rd", [22,5,1,0,26,1,0,4,42,0,0,4,0,2,17,1,0,5,9,4,3,0,4,0,7,0]),
               ("re", [166,26,106,99,114,52,55,20,25,4,4,60,69,143,20,72,8,11,257,119,14,56,34,7,23,2]),
               ("rf", [11,0,0,0,15,1,0,0,9,0,0,7,0,0,8,0,0,4,0,0,12,0,0,0,0,0]),
               ("rg", [26,0,0,0,63,0,0,5,25,0,0,11,1,0,18,0,0,2,2,0,13,0,0,0,11,0]),
               ("rh", [11,0,0,0,19,0,0,0,5,0,0,0,0,0,18,0,0,0,0,0,2,0,0,0,3,0]),
               ("ri", [182,54,210,87,79,38,65,1,0,1,6,49,65,166,82,61,1,0,151,141,29,44,1,6,1,10]),
               ("rj", [0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0]),
               ("rk", [4,2,0,1,19,0,0,3,9,0,0,6,3,2,5,3,0,1,10,2,0,0,1,0,6,0]),
               ("rl", [24,2,0,4,28,0,0,0,36,0,0,0,0,0,14,1,0,0,2,1,2,0,1,0,8,0]),
               ("rm", [97,1,2,0,29,2,0,3,65,0,0,2,0,0,39,1,0,0,1,1,10,0,1,0,5,0]),
               ("rn", [53,5,0,0,50,4,0,3,29,0,1,0,6,0,16,1,0,0,9,5,7,0,2,0,4,0]),
               ("ro", [46,40,79,40,18,22,56,4,32,5,10,76,90,167,84,127,2,14,127,74,127,42,63,17,15,3]),
               ("rp", [10,0,0,0,21,0,0,33,10,0,0,5,1,0,25,0,0,12,8,8,5,0,0,0,1,0]),
               ("rq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0]),
               ("rr", [53,0,0,0,92,0,0,5,85,0,0,0,0,0,47,0,0,0,0,0,14,0,0,0,60,0]),
               ("rs", [26,2,2,2,84,1,0,16,44,0,4,2,3,1,43,12,1,0,0,32,14,1,2,0,2,0]),
               ("rt", [39,2,2,0,61,5,3,101,99,0,0,11,7,3,32,0,0,17,12,1,27,0,2,0,24,7]),
               ("ru", [5,21,30,31,15,6,12,0,18,0,0,10,46,41,1,28,0,3,83,22,0,1,1,1,0,1]),
               ("rv", [31,0,0,0,37,0,0,0,28,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,2,0]),
               ("rw", [15,0,0,0,6,0,0,0,12,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0]),
               ("rx", [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ry", [5,3,3,5,3,0,1,0,0,0,0,10,11,4,12,16,0,0,9,4,0,0,2,0,0,0]),
               ("rz", [2,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("sa", [2,44,23,16,1,10,21,4,16,1,7,80,17,89,1,10,0,36,10,43,22,10,13,5,7,0]),
               ("sb", [9,0,0,0,4,0,0,0,2,0,0,0,0,0,6,0,0,2,0,0,18,0,0,0,3,0]),
               ("sc", [81,0,0,0,65,0,1,78,37,0,0,5,1,0,88,0,0,92,0,0,40,0,0,0,3,0]),
               ("sd", [11,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,2,0,0,0,0,0]),
               ("se", [38,14,47,18,33,7,8,3,11,0,1,63,39,101,5,28,14,83,28,41,12,19,15,15,19,1]),
               ("sf", [3,0,0,0,7,0,0,0,5,0,0,0,0,0,7,0,0,0,0,0,6,0,0,0,1,0]),
               ("sg", [0,0,0,0,2,0,0,0,2,0,0,0,0,0,2,0,0,5,1,0,2,0,0,0,0,0]),
               ("sh", [97,9,1,0,79,3,0,0,75,0,1,4,16,3,81,2,0,27,0,1,20,1,6,0,17,0]),
               ("si", [55,56,44,80,28,15,38,0,0,0,2,50,40,78,148,7,1,7,99,89,9,76,0,8,0,3]),
               ("sj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]),
               ("sk", [9,0,0,0,24,0,0,0,35,0,0,0,2,0,3,0,0,1,0,0,5,0,0,0,23,0]),
               ("sl", [42,0,0,0,35,0,0,0,29,0,0,1,0,0,29,0,0,0,0,0,13,0,0,0,2,0]),
               ("sm", [57,0,0,0,30,0,0,0,31,0,0,0,0,0,25,0,0,0,0,0,14,0,0,0,2,0]),
               ("sn", [21,0,0,0,12,0,0,0,12,0,0,0,0,0,19,0,0,0,0,4,6,0,0,0,2,0]),
               ("so", [6,4,26,12,6,10,4,1,8,1,0,67,65,190,8,21,0,71,0,11,34,6,3,0,3,1]),
               ("sp", [63,1,0,0,116,0,0,41,82,0,0,24,0,0,69,0,0,34,1,0,16,0,0,0,3,0]),
               ("sq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,52,0,0,0,0,0]),
               ("sr", [4,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,3,0,0,0,0,0]),
               ("ss", [50,3,2,0,77,3,0,4,151,0,0,5,11,1,42,2,0,4,0,4,17,0,13,0,19,0]),
               ("st", [258,6,4,1,291,9,1,11,240,1,0,25,12,2,205,6,0,255,3,0,58,2,7,0,36,0]),
               ("su", [14,38,17,6,7,11,6,0,11,0,0,39,35,37,1,42,0,71,30,4,0,0,0,0,0,4]),
               ("sv", [0,0,0,0,5,0,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0]),
               ("sw", [37,0,0,0,31,0,0,0,28,0,0,0,0,0,21,0,0,2,0,0,2,0,0,0,0,0]),
               ("sx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("sy", [0,2,32,1,1,0,1,0,0,0,1,18,19,30,0,2,0,9,5,1,0,0,0,0,0,1]),
               ("sz", [0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ta", [0,74,44,8,3,9,45,8,68,0,15,130,36,181,1,23,0,128,22,185,13,11,9,13,4,0]),
               ("tb", [7,0,0,0,4,0,0,0,4,0,0,0,0,0,6,0,0,3,0,0,3,0,0,0,0,0]),
               ("tc", [5,0,0,0,0,0,0,112,0,0,0,2,0,0,5,0,0,1,0,0,1,0,0,0,1,0]),
               ("td", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0]),
               ("te", [52,9,29,37,66,9,17,6,16,0,2,65,49,185,18,20,0,588,61,23,9,9,9,16,1,0]),
               ("tf", [6,0,0,0,1,0,0,0,5,0,0,1,0,0,6,0,0,1,0,0,24,0,0,0,0,0]),
               ("tg", [4,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0]),
               ("th", [68,6,1,5,274,8,1,2,62,0,1,9,13,3,90,4,1,61,8,2,31,0,16,0,49,0]),
               ("ti", [99,35,342,16,35,45,34,0,0,0,3,67,75,183,419,28,9,18,75,88,9,128,0,0,0,2]),
               ("tj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("tk", [2,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]),
               ("tl", [18,0,0,0,102,0,0,0,5,0,0,2,0,0,3,0,0,0,0,0,2,0,0,0,3,0]),
               ("tm", [25,0,0,0,8,0,0,0,3,0,0,0,0,0,11,0,0,0,0,0,3,0,0,0,0,0]),
               ("tn", [3,0,0,0,9,0,0,0,5,0,0,0,0,0,2,0,0,0,0,4,1,0,0,0,0,0]),
               ("to", [5,6,34,11,8,7,26,0,14,0,9,38,65,238,26,56,0,319,19,16,36,3,36,7,3,2]),
               ("tp", [2,0,0,0,1,0,0,0,1,0,0,2,0,0,3,0,0,5,0,0,0,0,0,0,0,0]),
               ("tq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("tr", [315,0,0,0,98,0,0,0,246,0,0,0,0,0,201,0,0,0,0,0,68,0,1,0,64,0]),
               ("ts", [2,2,2,1,10,2,0,3,4,0,1,0,13,0,9,3,0,0,0,8,5,2,5,0,3,0]),
               ("tt", [44,0,0,0,154,1,1,2,53,0,1,45,0,0,33,0,0,10,8,0,4,1,0,0,25,0]),
               ("tu", [41,14,9,41,8,5,4,0,10,0,0,19,30,29,13,10,0,159,35,22,0,0,0,1,1,0]),
               ("tv", [3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("tw", [14,0,0,0,12,0,0,1,23,0,0,0,0,0,15,0,0,0,0,0,2,0,0,1,0,0]),
               ("tx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ty", [2,1,2,0,0,0,1,0,1,0,0,14,2,0,0,34,0,14,3,0,0,0,2,1,0,0]),
               ("tz", [1,0,0,0,5,0,1,0,2,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]),
               ("ua", [0,4,7,21,0,1,5,1,4,0,5,51,2,26,0,1,0,48,9,37,0,2,4,0,3,0]),
               ("ub", [8,18,0,1,20,0,0,2,18,2,0,23,5,0,2,1,0,10,15,8,7,2,0,0,1,0]),
               ("uc", [10,0,14,0,23,0,0,31,29,0,55,16,0,0,7,0,0,9,1,47,5,0,0,0,2,0]),
               ("ud", [17,1,0,24,67,0,18,0,39,0,0,4,0,0,8,0,0,1,10,0,2,0,2,0,7,1]),
               ("ue", [6,9,0,1,5,5,4,1,0,1,0,21,1,33,1,1,0,19,22,15,2,0,0,0,3,6]),
               ("uf", [1,0,0,0,0,58,0,0,0,0,0,1,1,0,1,0,0,0,0,3,1,0,0,0,0,0]),
               ("ug", [19,1,0,0,21,0,34,80,3,0,0,4,2,2,6,0,0,1,1,0,11,0,0,0,0,0]),
               ("uh", [3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ui", [3,2,14,14,6,0,1,0,0,0,0,32,0,31,1,8,0,19,44,64,1,4,0,2,0,3]),
               ("uj", [1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0]),
               ("uk", [1,0,0,1,12,0,0,0,3,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0]),
               ("ul", [136,4,11,11,46,14,7,0,35,0,10,67,5,2,23,16,0,1,24,73,16,3,1,0,5,1]),
               ("um", [22,52,3,1,51,5,0,1,32,0,0,2,28,11,8,48,1,0,8,1,6,2,0,0,0,0]),
               ("un", [21,6,73,131,25,5,46,2,55,0,33,4,2,13,4,2,0,2,15,82,1,0,2,0,5,0]),
               ("uo", [0,0,0,1,0,0,0,0,3,0,0,2,0,3,0,2,0,16,3,5,29,0,0,0,2,0]),
               ("up", [4,4,1,2,31,1,1,14,10,0,1,13,1,0,8,24,0,13,13,24,2,0,2,0,2,0]),
               ("uq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0]),
               ("ur", [75,27,21,17,149,8,60,1,66,2,11,17,11,55,28,15,1,51,43,43,9,15,3,0,28,1]),
               ("us", [31,5,29,2,105,0,1,53,64,0,17,3,0,1,8,12,1,0,34,115,6,0,0,0,4,0]),
               ("ut", [45,1,14,1,69,0,1,55,77,0,0,8,3,3,49,0,0,13,7,51,11,0,2,0,6,2]),
               ("uu", [0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("uv", [0,0,0,0,8,0,0,0,5,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0]),
               ("uw", [2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ux", [0,0,0,0,4,0,0,0,2,0,0,1,0,0,1,0,0,0,0,5,4,0,0,0,0,0]),
               ("uy", [1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0]),
               ("uz", [2,0,0,0,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,12]),
               ("va", [0,9,20,8,1,0,14,2,8,1,3,69,2,57,0,1,0,31,18,36,5,0,0,0,0,0]),
               ("vb", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vc", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vd", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ve", [6,2,5,4,4,3,6,4,5,0,1,47,4,120,3,1,0,271,46,24,0,0,1,5,10,0]),
               ("vf", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vg", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vh", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vi", [37,4,33,23,21,2,8,0,2,0,3,43,0,47,18,0,0,16,65,30,5,16,0,2,0,1]),
               ("vj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vk", [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vl", [2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("vm", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vn", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vo", [0,0,23,0,0,0,3,0,9,0,5,48,2,6,1,0,0,10,4,9,10,1,3,0,6,0]),
               ("vp", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vr", [0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]),
               ("vs", [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vt", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vu", [0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,2,2,0,0,0,0,0,0,0]),
               ("vv", [0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]),
               ("vw", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("vy", [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0]),
               ("vz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("wa", [1,4,7,8,0,3,12,3,18,0,8,53,5,20,0,4,0,100,27,55,1,9,1,4,71,1]),
               ("wb", [6,0,0,0,7,0,0,0,1,0,0,0,0,0,10,0,0,3,0,0,1,0,0,0,0,0]),
               ("wc", [3,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0]),
               ("wd", [0,0,0,0,5,0,0,0,1,0,0,0,0,0,4,0,0,3,0,0,1,0,0,0,3,0]),
               ("we", [30,5,1,9,33,0,2,1,19,0,0,51,0,11,0,2,0,36,21,7,0,2,0,0,2,0]),
               ("wf", [1,0,0,0,0,0,0,0,3,0,0,3,0,0,4,0,0,0,0,0,3,0,0,0,0,0]),
               ("wg", [0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("wh", [18,0,0,0,47,0,0,0,52,0,0,0,0,0,19,0,0,0,0,0,1,0,0,0,1,0]),
               ("wi", [0,0,14,18,5,5,15,0,0,0,0,40,2,83,0,2,0,8,38,47,0,4,0,1,0,2]),
               ("wj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("wk", [0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0]),
               ("wl", [3,0,0,0,9,0,0,0,5,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,3,0]),
               ("wm", [8,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("wn", [0,1,1,1,6,1,1,2,3,0,0,0,0,0,0,2,0,1,10,4,1,0,2,0,3,0]),
               ("wo", [0,1,0,0,3,1,0,0,0,0,3,10,17,8,54,1,0,121,1,1,3,2,1,0,0,0]),
               ("wp", [1,0,0,0,1,0,0,0,1,0,0,1,0,0,5,0,0,0,0,0,1,0,0,0,0,0]),
               ("wq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("wr", [7,0,0,0,12,0,0,0,25,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,6,0]),
               ("ws", [0,1,1,0,2,0,0,1,1,0,1,2,2,0,5,3,0,1,1,4,1,0,2,0,1,0]),
               ("wt", [1,0,0,0,1,0,0,3,1,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0]),
               ("wu", [0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,0,0]),
               ("wv", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ww", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("wx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("wy", [2,0,0,0,5,0,0,0,0,0,0,1,1,4,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("wz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]),
               ("xa", [0,0,5,1,0,1,3,0,0,0,0,4,6,6,0,0,0,0,3,6,0,1,0,0,0,0]),
               ("xb", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]),
               ("xc", [3,0,0,0,11,0,0,3,7,0,0,7,0,0,3,0,0,5,0,0,7,0,0,0,0,0]),
               ("xd", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("xe", [0,0,7,1,0,0,2,0,1,0,0,2,6,9,0,0,0,6,1,1,0,0,0,0,1,0]),
               ("xf", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]),
               ("xg", [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0]),
               ("xh", [7,0,0,0,0,0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0]),
               ("xi", [8,2,12,8,4,2,2,0,0,0,0,2,11,4,8,0,0,0,9,2,0,1,1,0,0,0]),
               ("xj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("xk", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("xl", [0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("xm", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("xn", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("xo", [0,0,0,1,0,0,3,0,0,0,0,1,1,10,0,1,0,6,1,5,0,0,0,0,0,0]),
               ("xp", [8,0,0,0,27,0,0,0,5,0,0,18,0,0,12,0,0,7,0,0,3,0,0,0,0,0]),
               ("xq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]),
               ("xr", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("xs", [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("xt", [6,1,0,0,22,0,0,1,7,0,0,0,0,0,7,0,0,31,0,0,9,0,0,0,1,0]),
               ("xu", [4,1,0,2,0,0,0,0,0,0,0,3,0,0,0,1,0,6,0,0,0,0,0,0,0,0]),
               ("xv", [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("xw", [0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]),
               ("xx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("xy", [0,0,0,0,0,0,2,0,0,0,0,6,0,0,0,0,0,2,0,0,0,0,0,0,0,0]),
               ("xz", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ya", [0,0,5,5,0,0,1,1,0,0,2,11,3,29,1,4,1,20,1,3,0,0,3,0,0,0]),
               ("yb", [4,0,0,4,7,0,0,0,2,0,0,0,0,0,9,0,0,3,0,0,3,0,0,0,0,0]),
               ("yc", [4,0,0,0,18,0,0,31,4,0,0,19,0,0,12,0,0,0,0,0,0,0,0,0,0,0]),
               ("yd", [4,1,0,0,12,0,0,0,2,0,0,0,0,2,1,0,0,37,0,0,0,0,0,0,0,0]),
               ("ye", [11,3,0,1,1,1,1,0,1,0,0,13,1,6,2,1,0,19,7,6,0,1,1,0,0,0]),
               ("yf", [1,0,0,0,1,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0]),
               ("yg", [0,0,0,1,2,0,0,0,2,0,0,1,3,1,8,0,0,3,0,0,1,0,0,0,2,0]),
               ("yh", [0,0,0,0,4,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,1,0]),
               ("yi", [0,0,0,1,1,0,0,0,0,0,0,0,0,9,0,2,0,0,2,0,0,0,0,0,0,0]),
               ("yj", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("yk", [0,0,0,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("yl", [15,0,0,0,22,0,0,0,13,0,1,19,0,0,11,1,0,0,2,0,3,6,0,0,0,0]),
               ("ym", [18,4,1,0,20,0,0,0,5,0,0,0,3,7,11,20,0,0,0,0,2,0,0,0,1,0]),
               ("yn", [14,0,11,3,12,0,3,1,2,0,0,0,0,3,11,0,0,0,0,6,0,0,0,2,1,0]),
               ("yo", [0,0,2,2,0,4,6,0,0,0,5,2,1,18,0,4,0,8,4,5,17,1,1,0,0,1]),
               ("yp", [2,0,0,0,24,0,0,17,5,0,0,2,0,2,21,0,0,5,7,16,3,0,0,0,1,0]),
               ("yq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]),
               ("yr", [15,0,0,2,6,1,0,0,21,0,0,0,0,2,29,0,0,2,0,1,4,0,0,0,1,0]),
               ("ys", [3,1,3,0,12,0,0,1,38,0,0,1,2,0,4,3,0,0,6,39,2,0,0,0,0,0]),
               ("yt", [2,0,0,0,16,0,0,16,10,0,0,0,0,0,12,0,0,0,0,2,0,0,0,0,1,0]),
               ("yu", [0,0,3,0,0,0,3,1,0,0,2,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0]),
               ("yv", [1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("yw", [10,0,1,0,3,0,0,2,4,0,0,0,0,0,5,0,0,3,0,0,0,0,0,0,0,0]),
               ("yx", [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("yy", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("yz", [2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]),
               ("za", [1,3,2,0,0,0,5,1,1,0,1,4,1,11,0,1,0,19,0,0,0,1,0,0,0,1]),
               ("zb", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zc", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zd", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("ze", [5,1,2,1,1,0,0,0,1,0,1,7,0,12,0,0,0,13,3,3,1,0,1,0,0,0]),
               ("zf", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zg", [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zh", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zi", [1,1,2,0,7,0,5,0,0,0,0,5,4,6,1,1,0,2,1,1,1,0,0,0,0,0]),
               ("zj", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zk", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zl", [0,0,0,0,16,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0]),
               ("zm", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zn", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zo", [3,0,0,2,2,0,1,0,7,0,0,0,3,10,5,2,0,5,0,0,1,1,0,0,0,0]),
               ("zp", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zq", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zr", [1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("zs", [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zt", [0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zu", [0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0]),
               ("zv", [0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("zw", [0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0]),
               ("zx", [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zy", [0,1,0,0,0,0,4,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0]),
               ("zz", [7,0,0,0,1,0,0,0,7,0,0,17,0,0,2,0,0,0,0,0,0,0,1,0,5,0])]