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densityfold_lin.cpp
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densityfold_lin.cpp
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#include <iostream>
#include <string>
#include <cstring>
#include <vector>
#include <fstream>
using namespace std;
#define INF 10000
#define STACK 101
#define BULGE 102
#define MULTILOOP 103
#define MISC 104
#define HAIRPIN 105
#define MULTI1 1001
#define MULTI2 1002
#define MULTI3 1003
#define MULTI4 1004
#define MULTIS 1005
struct data
{
int type;
int i;
int j;
int i_prime;
int j_prime;
};
// --------------------------------
//params for multibranch loop
float a = 3.4;
float b = 0;
float c = 0.4;
float sigma = 0;
// --------------------------------
////////////////
// GLOBALS
///////////////
//"-GGGGGUAUAGCUCAGGGGUAGAGCAUUUGACUGCAGAUCAAGAGGUCCCUGGUUCAAAUCCAGGUGCCCCCU";
// string str = "GCCGCGACAAGCGGUCCGGGCGCCCUAGGGGCCCGCGACGCCUGCUCGUACCCAUCUUGCUCCUUGGAGGAUUUGGCUAUGAGGA";
//char* str = "-AAAAAAGGGUUUUUU"; // GGGAACAAAGCUGAAGUACUUACCC";
// char* str = "-AAAAAAGGGUUUUUU";//"-AAAAAAAAAAAAGGGUUUUUUUUUUUU";
char* str = "-GCCGCGACAAGCGGUCCGGGCGCCCUAGGGGCCCGGCGGAGACGGGCGCCG"; // GAGGUGUCCGACGCCUGCUCGUACCCAUCUUGCUCCUUGGAGGAUUUGGCUAUGAGGA
// char* str = "-AAAAAAAAAAAAGGGUUUUUUUUUUUU";
int n = strlen(str) - 1;
int isPairing(char A, char B);
void print_matrix(const vector<vector<float> > &A);
void printStructure(const std::vector<std::pair<int, int> >& result);
void initializeTables(int length);
void tbELC(int j, std::vector<std::pair<int, int> >* result, float sigma);
void tbELCs(int i, int j, std::vector<std::pair<int, int> >* result, float sigma);
void reportloop(int i,int j,int k,int h, struct data ***solM, std::vector<std::pair<int, int> >* result, float sigma);
vector<std::pair<int, int> > result;
float* ELC;
float** ELCs;
float** ELCbi;
float** ELCm;
float** Es;
float** Em;
float** Ebi;
data** solM;
float** ELCm_dash;
// tracebacks
data* traceback_ELC;
data** traceback_multi;
data** traceback_bulge;
data** traceback_ELCs;
int** hairpin_number;
////////////////////////////////////////////////////
/*Special cases for internal loop 1x2.
Y
------------------
(X) A C G U
------------------
5' --> 3'
X
P1 P2
YZ
3' <-- 5'
(A) . . . .
(C) . . . .
(G) . . . .
(U) . . . .
*/
float sint1_2[] = {
3.40, 3.40, 2.20, 3.90, 2.90, 2.90, 1.70, 3.40, 2.90, 2.90, 1.70, 3.40, 3.40, 3.40, 2.20, 3.90, 3.40, 3.40, 2.20, 3.90, 2.90, 2.90, 1.70, 3.40,
3.40, 3.40, 4.20, 3.40, 2.90, 2.90, 3.70, 2.90, 2.90, 2.90, 3.70, 2.90, 3.40, 3.40, 4.20, 3.40, 3.40, 3.40, 4.20, 3.40, 2.90, 2.90, 3.70, 2.90,
1.00, 2.70, 2.20, 2.70, 0.50, 2.20, 1.70, 2.20, 0.50, 2.20, 1.70, 2.20, 1.00, 2.70, 2.20, 2.70, 1.00, 2.70, 2.20, 2.70, 0.50, 2.20, 1.70, 2.20,
4.70, 4.00, 4.70, 3.00, 3.80, 3.10, 3.80, 2.10, 3.20, 2.50, 3.20, 1.50, 4.60, 3.90, 4.60, 2.90, 4.70, 4.00, 4.70, 3.00, 3.80, 3.10, 3.80, 2.10,
3.40, 3.40, 2.20, 3.90, 2.90, 2.90, 1.70, 3.40, 2.90, 2.90, 1.70, 3.40, 3.40, 3.40, 2.20, 3.90, 3.40, 3.40, 2.20, 3.90, 2.90, 2.90, 1.70, 3.40,
3.40, 3.40, 4.20, 3.40, 2.90, 2.90, 3.70, 2.90, 2.90, 2.90, 3.70, 2.90, 3.40, 3.40, 4.20, 3.40, 3.40, 3.40, 4.20, 3.40, 2.90, 2.90, 3.70, 2.90,
3.40, 5.10, 4.60, 5.10, 2.60, 4.30, 3.80, 4.30, 2.20, 3.90, 3.40, 3.90, 3.00, 4.70, 4.20, 4.70, 3.40, 5.10, 4.60, 5.10, 2.60, 4.30, 3.80, 4.30,
4.10, 3.40, 4.10, 2.40, 3.60, 2.90, 3.60, 1.90, 3.60, 2.90, 3.60, 1.90, 4.10, 3.40, 4.10, 2.40, 4.10, 3.40, 4.10, 2.40, 3.60, 2.90, 3.60, 1.90,
2.20, 2.20, 1.00, 2.70, 1.70, 1.70, 0.50, 2.20, 1.70, 1.70, 0.50, 2.20, 2.20, 2.20, 1.00, 2.70, 2.20, 2.20, 1.00, 2.70, 1.70, 1.70, 0.50, 2.20,
4.00, 4.00, 4.80, 4.00, 2.90, 2.90, 3.70, 2.90, 2.50, 2.50, 3.30, 2.50, 3.90, 3.90, 4.70, 3.90, 4.00, 4.00, 4.80, 4.00, 2.90, 2.90, 3.70, 2.90,
2.20, 3.90, 3.40, 3.90, 1.70, 3.40, 2.90, 3.40, 1.70, 3.40, 2.90, 3.40, 2.20, 3.90, 3.40, 3.90, 2.20, 3.90, 3.40, 3.90, 1.70, 3.40, 2.90, 3.40,
4.70, 4.00, 4.70, 3.00, 3.60, 2.90, 3.60, 1.90, 3.20, 2.50, 3.20, 1.50, 4.60, 3.90, 4.60, 2.90, 4.70, 4.00, 4.70, 3.00, 3.60, 2.90, 3.60, 1.90,
4.60, 4.60, 3.40, 5.10, 3.60, 3.60, 2.40, 4.10, 3.00, 3.00, 1.80, 3.50, 4.10, 4.10, 2.90, 4.60, 4.60, 4.60, 3.40, 5.10, 3.60, 3.60, 2.40, 4.10,
3.40, 3.40, 4.20, 3.40, 2.90, 2.90, 3.70, 2.90, 2.90, 2.90, 3.70, 2.90, 3.40, 3.40, 4.20, 3.40, 3.40, 3.40, 4.20, 3.40, 2.90, 2.90, 3.70, 2.90,
3.40, 5.10, 4.60, 5.10, 2.40, 4.10, 3.60, 4.10, 1.80, 3.50, 3.00, 3.50, 2.90, 4.60, 4.10, 4.60, 3.40, 5.10, 4.60, 5.10, 2.40, 4.10, 3.60, 4.10,
3.10, 2.40, 3.10, 1.40, 2.60, 1.90, 2.60, 0.90, 2.60, 1.90, 2.60, 0.90, 3.10, 2.40, 3.10, 1.40, 3.10, 2.40, 3.10, 1.40, 2.60, 1.90, 2.60, 0.90,
2.90, 2.90, 1.70, 2.50, 2.40, 2.40, 1.20, 2.00, 2.40, 2.40, 1.20, 2.00, 2.90, 2.90, 1.70, 2.50, 2.90, 2.90, 1.70, 2.50, 2.40, 2.40, 1.20, 2.00,
2.90, 2.90, 3.40, 2.90, 2.40, 2.40, 2.90, 2.40, 2.40, 2.40, 2.90, 2.40, 2.90, 2.90, 3.40, 2.90, 2.90, 2.90, 3.40, 2.90, 2.40, 2.40, 2.90, 2.40,
0.50, 1.30, 1.70, 1.30, 0.00, 0.80, 1.20, 0.80, 0.00, 0.80, 1.20, 0.80, 0.50, 1.30, 1.70, 1.30, 0.50, 1.30, 1.70, 1.30, 0.00, 0.80, 1.20, 0.80,
3.60, 3.50, 3.60, 2.50, 2.70, 2.60, 2.70, 1.60, 2.10, 2.00, 2.10, 1.00, 3.50, 3.40, 3.50, 2.40, 3.60, 3.50, 3.60, 2.50, 2.70, 2.60, 2.70, 1.60,
2.90, 2.90, 1.70, 2.50, 2.40, 2.40, 1.20, 2.00, 2.40, 2.40, 1.20, 2.00, 2.90, 2.90, 1.70, 2.50, 2.90, 2.90, 1.70, 2.50, 2.40, 2.40, 1.20, 2.00,
2.90, 2.90, 3.40, 2.90, 2.40, 2.40, 2.90, 2.40, 2.40, 2.40, 2.90, 2.40, 2.90, 2.90, 3.40, 2.90, 2.90, 2.90, 3.40, 2.90, 2.40, 2.40, 2.90, 2.40,
2.90, 3.70, 4.10, 3.70, 2.10, 2.90, 3.30, 2.90, 1.70, 2.50, 2.90, 2.50, 2.50, 3.30, 3.70, 3.30, 2.90, 3.70, 4.10, 3.70, 2.10, 2.90, 3.30, 2.90,
3.00, 2.90, 3.00, 1.90, 2.50, 2.40, 2.50, 1.40, 2.50, 2.40, 2.50, 1.40, 3.00, 2.90, 3.00, 1.90, 3.00, 2.90, 3.00, 1.90, 2.50, 2.40, 2.50, 1.40,
1.70, 1.70, 0.50, 1.30, 1.20, 1.20, 0.00, 0.80, 1.20, 1.20, 0.00, 0.80, 1.70, 1.70, 0.50, 1.30, 1.70, 1.70, 0.50, 1.30, 1.20, 1.20, 0.00, 0.80,
3.50, 3.50, 4.00, 3.50, 2.40, 2.40, 2.90, 2.40, 2.00, 2.00, 2.50, 2.00, 3.40, 3.40, 3.90, 3.40, 3.50, 3.50, 4.00, 3.50, 2.40, 2.40, 2.90, 2.40,
1.70, 2.50, 2.90, 2.50, 1.20, 2.00, 2.40, 2.00, 1.20, 2.00, 2.40, 2.00, 1.70, 2.50, 2.90, 2.50, 1.70, 2.50, 2.90, 2.50, 1.20, 2.00, 2.40, 2.00,
3.60, 3.50, 3.60, 2.50, 2.50, 2.40, 2.50, 1.40, 2.10, 2.00, 2.10, 1.00, 3.50, 3.40, 3.50, 2.40, 3.60, 3.50, 3.60, 2.50, 2.50, 2.40, 2.50, 1.40,
4.10, 4.10, 2.90, 3.70, 3.10, 3.10, 1.90, 2.70, 2.50, 2.50, 1.30, 2.10, 3.60, 3.60, 2.40, 3.20, 4.10, 4.10, 2.90, 3.70, 3.10, 3.10, 1.90, 2.70,
2.90, 2.90, 3.40, 2.90, 2.40, 2.40, 2.90, 2.40, 2.40, 2.40, 2.90, 2.40, 2.90, 2.90, 3.40, 2.90, 2.90, 2.90, 3.40, 2.90, 2.40, 2.40, 2.90, 2.40,
2.90, 3.70, 4.10, 3.70, 1.90, 2.70, 3.10, 2.70, 1.30, 2.10, 2.50, 2.10, 2.40, 3.20, 3.60, 3.20, 2.90, 3.70, 4.10, 3.70, 1.90, 2.70, 3.10, 2.70,
2.00, 1.90, 2.00, 0.90, 1.50, 1.40, 1.50, 0.40, 1.50, 1.40, 1.50, 0.40, 2.00, 1.90, 2.00, 0.90, 2.00, 1.90, 2.00, 0.90, 1.50, 1.40, 1.50, 0.40,
2.90, 2.90, 1.70, 3.10, 2.40, 2.40, 1.20, 2.60, 2.40, 2.40, 1.20, 2.60, 2.90, 2.90, 1.70, 3.10, 2.90, 2.90, 1.70, 3.10, 2.40, 2.40, 1.20, 2.60,
2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40, 2.40, 2.40, 3.30, 2.40, 2.90, 2.90, 3.80, 2.90, 2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40,
0.50, 1.70, 1.70, 1.70, 0.00, 1.20, 1.20, 1.20, 0.00, 1.20, 1.20, 1.20, 0.50, 1.70, 1.70, 1.70, 0.50, 1.70, 1.70, 1.70, 0.00, 1.20, 1.20, 1.20,
4.20, 3.50, 4.20, 2.50, 3.30, 2.60, 3.30, 1.60, 2.70, 2.00, 2.70, 1.00, 4.10, 3.40, 4.10, 2.40, 4.20, 3.50, 4.20, 2.50, 3.30, 2.60, 3.30, 1.60,
2.90, 2.90, 1.70, 3.10, 2.40, 2.40, 1.20, 2.60, 2.40, 2.40, 1.20, 2.60, 2.90, 2.90, 1.70, 3.10, 2.90, 2.90, 1.70, 3.10, 2.40, 2.40, 1.20, 2.60,
2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40, 2.40, 2.40, 3.30, 2.40, 2.90, 2.90, 3.80, 2.90, 2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40,
2.90, 4.10, 4.10, 4.10, 2.10, 3.30, 3.30, 3.30, 1.70, 2.90, 2.90, 2.90, 2.50, 3.70, 3.70, 3.70, 2.90, 4.10, 4.10, 4.10, 2.10, 3.30, 3.30, 3.30,
3.60, 2.90, 3.60, 1.90, 3.10, 2.40, 3.10, 1.40, 3.10, 2.40, 3.10, 1.40, 3.60, 2.90, 3.60, 1.90, 3.60, 2.90, 3.60, 1.90, 3.10, 2.40, 3.10, 1.40,
1.70, 1.70, 0.50, 1.90, 1.20, 1.20, 0.00, 1.40, 1.20, 1.20, 0.00, 1.40, 1.70, 1.70, 0.50, 1.90, 1.70, 1.70, 0.50, 1.90, 1.20, 1.20, 0.00, 1.40,
3.50, 3.50, 4.40, 3.50, 2.40, 2.40, 3.30, 2.40, 2.00, 2.00, 2.90, 2.00, 3.40, 3.40, 4.30, 3.40, 3.50, 3.50, 4.40, 3.50, 2.40, 2.40, 3.30, 2.40,
1.70, 2.90, 2.90, 2.90, 1.20, 2.40, 2.40, 2.40, 1.20, 2.40, 2.40, 2.40, 1.70, 2.90, 2.90, 2.90, 1.70, 2.90, 2.90, 2.90, 1.20, 2.40, 2.40, 2.40,
4.20, 3.50, 4.20, 2.50, 3.10, 2.40, 3.10, 1.40, 2.70, 2.00, 2.70, 1.00, 4.10, 3.40, 4.10, 2.40, 4.20, 3.50, 4.20, 2.50, 3.10, 2.40, 3.10, 1.40,
4.10, 4.10, 2.90, 4.30, 3.10, 3.10, 1.90, 3.30, 2.50, 2.50, 1.30, 2.70, 3.60, 3.60, 2.40, 3.80, 4.10, 4.10, 2.90, 4.30, 3.10, 3.10, 1.90, 3.30,
2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40, 2.40, 2.40, 3.30, 2.40, 2.90, 2.90, 3.80, 2.90, 2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40,
2.90, 4.10, 4.10, 4.10, 1.90, 3.10, 3.10, 3.10, 1.30, 2.50, 2.50, 2.50, 2.40, 3.60, 3.60, 3.60, 2.90, 4.10, 4.10, 4.10, 1.90, 3.10, 3.10, 3.10,
2.60, 1.90, 2.60, 0.90, 2.10, 1.40, 2.10, 0.40, 2.10, 1.40, 2.10, 0.40, 2.60, 1.90, 2.60, 0.90, 2.60, 1.90, 2.60, 0.90, 2.10, 1.40, 2.10, 0.40,
3.40, 3.40, 2.20, 4.00, 2.90, 2.90, 1.70, 3.50, 2.90, 2.90, 1.70, 3.50, 3.40, 3.40, 2.20, 4.00, 3.40, 3.40, 2.20, 4.00, 2.90, 2.90, 1.70, 3.50,
3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90, 2.90, 2.90, 4.10, 2.90, 3.40, 3.40, 4.60, 3.40, 3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90,
1.00, 2.80, 2.20, 2.80, 0.50, 2.30, 1.70, 2.30, 0.50, 2.30, 1.70, 2.30, 1.00, 2.80, 2.20, 2.80, 1.00, 2.80, 2.20, 2.80, 0.50, 2.30, 1.70, 2.30,
5.20, 4.00, 5.20, 3.00, 4.30, 3.10, 4.30, 2.10, 3.70, 2.50, 3.70, 1.50, 5.10, 3.90, 5.10, 2.90, 5.20, 4.00, 5.20, 3.00, 4.30, 3.10, 4.30, 2.10,
3.40, 3.40, 2.20, 4.00, 2.90, 2.90, 1.70, 3.50, 2.90, 2.90, 1.70, 3.50, 3.40, 3.40, 2.20, 4.00, 3.40, 3.40, 2.20, 4.00, 2.90, 2.90, 1.70, 3.50,
3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90, 2.90, 2.90, 4.10, 2.90, 3.40, 3.40, 4.60, 3.40, 3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90,
3.40, 5.20, 4.60, 5.20, 2.60, 4.40, 3.80, 4.40, 2.20, 4.00, 3.40, 4.00, 3.00, 4.80, 4.20, 4.80, 3.40, 5.20, 4.60, 5.20, 2.60, 4.40, 3.80, 4.40,
4.60, 3.40, 4.60, 2.40, 4.10, 2.90, 4.10, 1.90, 4.10, 2.90, 4.10, 1.90, 4.60, 3.40, 4.60, 2.40, 4.60, 3.40, 4.60, 2.40, 4.10, 2.90, 4.10, 1.90,
2.20, 2.20, 1.00, 2.80, 1.70, 1.70, 0.50, 2.30, 1.70, 1.70, 0.50, 2.30, 2.20, 2.20, 1.00, 2.80, 2.20, 2.20, 1.00, 2.80, 1.70, 1.70, 0.50, 2.30,
4.00, 4.00, 5.20, 4.00, 2.90, 2.90, 4.10, 2.90, 2.50, 2.50, 3.70, 2.50, 3.90, 3.90, 5.10, 3.90, 4.00, 4.00, 5.20, 4.00, 2.90, 2.90, 4.10, 2.90,
2.20, 4.00, 3.40, 4.00, 1.70, 3.50, 2.90, 3.50, 1.70, 3.50, 2.90, 3.50, 2.20, 4.00, 3.40, 4.00, 2.20, 4.00, 3.40, 4.00, 1.70, 3.50, 2.90, 3.50,
5.20, 4.00, 5.20, 3.00, 4.10, 2.90, 4.10, 1.90, 3.70, 2.50, 3.70, 1.50, 5.10, 3.90, 5.10, 2.90, 5.20, 4.00, 5.20, 3.00, 4.10, 2.90, 4.10, 1.90,
4.60, 4.60, 3.40, 5.20, 3.60, 3.60, 2.40, 4.20, 3.00, 3.00, 1.80, 3.60, 4.10, 4.10, 2.90, 4.70, 4.60, 4.60, 3.40, 5.20, 3.60, 3.60, 2.40, 4.20,
3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90, 2.90, 2.90, 4.10, 2.90, 3.40, 3.40, 4.60, 3.40, 3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90,
3.40, 5.20, 4.60, 5.20, 2.40, 4.20, 3.60, 4.20, 1.80, 3.60, 3.00, 3.60, 2.90, 4.70, 4.10, 4.70, 3.40, 5.20, 4.60, 5.20, 2.40, 4.20, 3.60, 4.20,
3.60, 2.40, 3.60, 1.40, 3.10, 1.90, 3.10, 0.90, 3.10, 1.90, 3.10, 0.90, 3.60, 2.40, 3.60, 1.40, 3.60, 2.40, 3.60, 1.40, 3.10, 1.90, 3.10, 0.90,
2.90, 2.90, 1.70, 3.10, 2.40, 2.40, 1.20, 2.60, 2.40, 2.40, 1.20, 2.60, 2.90, 2.90, 1.70, 3.10, 2.90, 2.90, 1.70, 3.10, 2.40, 2.40, 1.20, 2.60,
2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40, 2.40, 2.40, 3.30, 2.40, 2.90, 2.90, 3.80, 2.90, 2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40,
0.50, 1.70, 1.70, 1.70, 0.00, 1.20, 1.20, 1.20, 0.00, 1.20, 1.20, 1.20, 0.50, 1.70, 1.70, 1.70, 0.50, 1.70, 1.70, 1.70, 0.00, 1.20, 1.20, 1.20,
4.20, 3.50, 4.20, 2.50, 3.30, 2.60, 3.30, 1.60, 2.70, 2.00, 2.70, 1.00, 4.10, 3.40, 4.10, 2.40, 4.20, 3.50, 4.20, 2.50, 3.30, 2.60, 3.30, 1.60,
2.90, 2.90, 1.70, 3.10, 2.40, 2.40, 1.20, 2.60, 2.40, 2.40, 1.20, 2.60, 2.90, 2.90, 1.70, 3.10, 2.90, 2.90, 1.70, 3.10, 2.40, 2.40, 1.20, 2.60,
2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40, 2.40, 2.40, 3.30, 2.40, 2.90, 2.90, 3.80, 2.90, 2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40,
2.90, 4.10, 4.10, 4.10, 2.10, 3.30, 3.30, 3.30, 1.70, 2.90, 2.90, 2.90, 2.50, 3.70, 3.70, 3.70, 2.90, 4.10, 4.10, 4.10, 2.10, 3.30, 3.30, 3.30,
3.60, 2.90, 3.60, 1.90, 3.10, 2.40, 3.10, 1.40, 3.10, 2.40, 3.10, 1.40, 3.60, 2.90, 3.60, 1.90, 3.60, 2.90, 3.60, 1.90, 3.10, 2.40, 3.10, 1.40,
1.70, 1.70, 0.50, 1.90, 1.20, 1.20, 0.00, 1.40, 1.20, 1.20, 0.00, 1.40, 1.70, 1.70, 0.50, 1.90, 1.70, 1.70, 0.50, 1.90, 1.20, 1.20, 0.00, 1.40,
3.50, 3.50, 4.40, 3.50, 2.40, 2.40, 3.30, 2.40, 2.00, 2.00, 2.90, 2.00, 3.40, 3.40, 4.30, 3.40, 3.50, 3.50, 4.40, 3.50, 2.40, 2.40, 3.30, 2.40,
1.70, 2.90, 2.90, 2.90, 1.20, 2.40, 2.40, 2.40, 1.20, 2.40, 2.40, 2.40, 1.70, 2.90, 2.90, 2.90, 1.70, 2.90, 2.90, 2.90, 1.20, 2.40, 2.40, 2.40,
4.20, 3.50, 4.20, 2.50, 3.10, 2.40, 3.10, 1.40, 2.70, 2.00, 2.70, 1.00, 4.10, 3.40, 4.10, 2.40, 4.20, 3.50, 4.20, 2.50, 3.10, 2.40, 3.10, 1.40,
4.10, 4.10, 2.90, 4.30, 3.10, 3.10, 1.90, 3.30, 2.50, 2.50, 1.30, 2.70, 3.60, 3.60, 2.40, 3.80, 4.10, 4.10, 2.90, 4.30, 3.10, 3.10, 1.90, 3.30,
2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40, 2.40, 2.40, 3.30, 2.40, 2.90, 2.90, 3.80, 2.90, 2.90, 2.90, 3.80, 2.90, 2.40, 2.40, 3.30, 2.40,
2.90, 4.10, 4.10, 4.10, 1.90, 3.10, 3.10, 3.10, 1.30, 2.50, 2.50, 2.50, 2.40, 3.60, 3.60, 3.60, 2.90, 4.10, 4.10, 4.10, 1.90, 3.10, 3.10, 3.10,
2.60, 1.90, 2.60, 0.90, 2.10, 1.40, 2.10, 0.40, 2.10, 1.40, 2.10, 0.40, 2.60, 1.90, 2.60, 0.90, 2.60, 1.90, 2.60, 0.90, 2.10, 1.40, 2.10, 0.40,
3.40, 3.40, 2.20, 4.00, 2.90, 2.90, 1.70, 3.50, 2.90, 2.90, 1.70, 3.50, 3.40, 3.40, 2.20, 4.00, 3.40, 3.40, 2.20, 4.00, 2.90, 2.90, 1.70, 3.50,
3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90, 2.90, 2.90, 4.10, 2.90, 3.40, 3.40, 4.60, 3.40, 3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90,
1.00, 2.80, 2.20, 2.80, 0.50, 2.30, 1.70, 2.30, 0.50, 2.30, 1.70, 2.30, 1.00, 2.80, 2.20, 2.80, 1.00, 2.80, 2.20, 2.80, 0.50, 2.30, 1.70, 2.30,
5.20, 4.00, 5.20, 3.00, 4.30, 3.10, 4.30, 2.10, 3.70, 2.50, 3.70, 1.50, 5.10, 3.90, 5.10, 2.90, 5.20, 4.00, 5.20, 3.00, 4.30, 3.10, 4.30, 2.10,
3.40, 3.40, 2.20, 4.00, 2.90, 2.90, 1.70, 3.50, 2.90, 2.90, 1.70, 3.50, 3.40, 3.40, 2.20, 4.00, 3.40, 3.40, 2.20, 4.00, 2.90, 2.90, 1.70, 3.50,
3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90, 2.90, 2.90, 4.10, 2.90, 3.40, 3.40, 4.60, 3.40, 3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90,
3.40, 5.20, 4.60, 5.20, 2.60, 4.40, 3.80, 4.40, 2.20, 4.00, 3.40, 4.00, 3.00, 4.80, 4.20, 4.80, 3.40, 5.20, 4.60, 5.20, 2.60, 4.40, 3.80, 4.40,
4.60, 3.40, 4.60, 2.40, 4.10, 2.90, 4.10, 1.90, 4.10, 2.90, 4.10, 1.90, 4.60, 3.40, 4.60, 2.40, 4.60, 3.40, 4.60, 2.40, 4.10, 2.90, 4.10, 1.90,
2.20, 2.20, 1.00, 2.80, 1.70, 1.70, 0.50, 2.30, 1.70, 1.70, 0.50, 2.30, 2.20, 2.20, 1.00, 2.80, 2.20, 2.20, 1.00, 2.80, 1.70, 1.70, 0.50, 2.30,
4.00, 4.00, 5.20, 4.00, 2.90, 2.90, 4.10, 2.90, 2.50, 2.50, 3.70, 2.50, 3.90, 3.90, 5.10, 3.90, 4.00, 4.00, 5.20, 4.00, 2.90, 2.90, 4.10, 2.90,
2.20, 4.00, 3.40, 4.00, 1.70, 3.50, 2.90, 3.50, 1.70, 3.50, 2.90, 3.50, 2.20, 4.00, 3.40, 4.00, 2.20, 4.00, 3.40, 4.00, 1.70, 3.50, 2.90, 3.50,
5.20, 4.00, 5.20, 3.00, 4.10, 2.90, 4.10, 1.90, 3.70, 2.50, 3.70, 1.50, 5.10, 3.90, 5.10, 2.90, 5.20, 4.00, 5.20, 3.00, 4.10, 2.90, 4.10, 1.90,
4.60, 4.60, 3.40, 5.20, 3.60, 3.60, 2.40, 4.20, 3.00, 3.00, 1.80, 3.60, 4.10, 4.10, 2.90, 4.70, 4.60, 4.60, 3.40, 5.20, 3.60, 3.60, 2.40, 4.20,
3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90, 2.90, 2.90, 4.10, 2.90, 3.40, 3.40, 4.60, 3.40, 3.40, 3.40, 4.60, 3.40, 2.90, 2.90, 4.10, 2.90,
3.40, 5.20, 4.60, 5.20, 2.40, 4.20, 3.60, 4.20, 1.80, 3.60, 3.00, 3.60, 2.90, 4.70, 4.10, 4.70, 3.40, 5.20, 4.60, 5.20, 2.40, 4.20, 3.60, 4.20,
3.60, 2.40, 3.60, 1.40, 3.10, 1.90, 3.10, 0.90, 3.10, 1.90, 3.10, 0.90, 3.60, 2.40, 3.60, 1.40, 3.60, 2.40, 3.60, 1.40, 3.10, 1.90, 3.10, 0.90
};
// check the direction of X and Y
/*Special cases for internal loop 2x2.
Y
----------------------------------------------------------------
(X) A A A A C C C C G G G G U U U U
A C G U A C G U A C G U A C G U
----------------------------------------------------------------
5' ------> 3'
A \/ \_/ A
U /\ | U
3' <------ 5'
(AA) . . . . . . . . . . . . . . . .
(AC) . . . . . . . . . . . . . . . .
(AG) . . . . . . . . . . . . . . . .
(AU) . . . . . . . . . . . . . . . .
(CA) . . . . . . . . . . . . . . . .
(CC) . . . . . . . . . . . . . . . .
(CG) . . . . . . . . . . . . . . . .
(CU) . . . . . . . . . . . . . . . .
(GA) . . . . . . . . . . . . . . . .
(GC) . . . . . . . . . . . . . . . .
(GG) . . . . . . . . . . . . . . . .
(GU) . . . . . . . . . . . . . . . .
(UA) . . . . . . . . . . . . . . . .
(UC) . . . . . . . . . . . . . . . .
(UG) . . . . . . . . . . . . . . . .
(UU) . . . . . . . . . . . . . . . .
*/
float sint2_2[] = {
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.40, 3.40, 2.20, 4.60, 3.40, 3.40, 4.00, 3.40, 2.20, 4.60, 3.40, 4.60, 4.00, 3.40, 4.00, 2.40,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
3.70, 3.70, 2.50, 4.90, 3.70, 3.70, 4.30, 3.70, 2.50, 4.90, 3.70, 4.90, 4.30, 3.70, 4.30, 2.70,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.40, 3.40, 2.20, 4.60, 3.40, 3.40, 4.00, 3.40, 2.20, 4.60, 3.40, 4.60, 4.00, 3.40, 4.00, 2.40,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
3.40, 3.40, 2.20, 4.60, 3.40, 3.40, 4.00, 3.40, 2.20, 4.60, 3.40, 4.60, 4.00, 3.40, 4.00, 2.40,
3.60, 3.60, 2.40, 4.80, 3.60, 3.60, 4.20, 3.60, 2.40, 4.80, 3.60, 4.80, 4.20, 3.60, 4.20, 2.60,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
3.60, 3.60, 2.40, 4.80, 3.60, 3.60, 4.20, 3.60, 2.40, 4.80, 3.60, 4.80, 4.20, 3.60, 4.20, 2.60,
1.90, 1.90, 0.70, 3.10, 1.90, 1.90, 2.50, 1.90, 0.70, 3.10, 1.90, 3.10, 2.50, 1.90, 2.50, 0.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 2.90, 2.90, 1.70, 3.80, 2.90, 3.60, 3.10, 2.90, 2.90, 1.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.20, 3.20, 2.00, 3.90, 3.20, 3.20, 3.20, 3.20, 2.00, 4.10, 3.20, 3.90, 3.40, 3.20, 3.20, 2.20,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 2.90, 2.90, 1.70, 3.80, 2.90, 3.60, 3.10, 2.90, 2.90, 1.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 2.90, 2.90, 1.70, 3.80, 2.90, 3.60, 3.10, 2.90, 2.90, 1.90,
3.10, 3.10, 1.90, 3.80, 3.10, 3.10, 3.10, 3.10, 1.90, 4.00, 3.10, 3.80, 3.30, 3.10, 3.10, 2.10,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.10, 3.10, 1.90, 3.80, 3.10, 3.10, 3.10, 3.10, 1.90, 4.00, 3.10, 3.80, 3.30, 3.10, 3.10, 2.10,
1.40, 1.40, 0.20, 2.10, 1.40, 1.40, 1.40, 1.40, 0.20, 2.30, 1.40, 2.10, 1.60, 1.40, 1.40, 0.40,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
1.20, 1.20, 0.00, 1.30, 1.20, 1.20, 0.80, 1.20, 0.00, 1.70, 1.20, 1.30, 0.80, 1.20, 0.80, 0.20,
2.90, 2.90, 1.70, 3.00, 2.90, 2.90, 2.50, 2.90, 1.70, 3.40, 2.90, 3.00, 2.50, 2.90, 2.50, 1.90,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
3.20, 3.20, 2.00, 3.30, 3.20, 3.20, 2.80, 3.20, 2.00, 3.70, 3.20, 3.30, 2.80, 3.20, 2.80, 2.20,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
1.20, 1.20, 0.00, 1.30, 1.20, 1.20, 0.80, 1.20, 0.00, 1.70, 1.20, 1.30, 0.80, 1.20, 0.80, 0.20,
2.90, 2.90, 1.70, 3.00, 2.90, 2.90, 2.50, 2.90, 1.70, 3.40, 2.90, 3.00, 2.50, 2.90, 2.50, 1.90,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
2.90, 2.90, 1.70, 3.00, 2.90, 2.90, 2.50, 2.90, 1.70, 3.40, 2.90, 3.00, 2.50, 2.90, 2.50, 1.90,
3.10, 3.10, 1.90, 3.20, 3.10, 3.10, 2.70, 3.10, 1.90, 3.60, 3.10, 3.20, 2.70, 3.10, 2.70, 2.10,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
3.10, 3.10, 1.90, 3.20, 3.10, 3.10, 2.70, 3.10, 1.90, 3.60, 3.10, 3.20, 2.70, 3.10, 2.70, 2.10,
1.40, 1.40, 0.20, 1.50, 1.40, 1.40, 1.00, 1.40, 0.20, 1.90, 1.40, 1.50, 1.00, 1.40, 1.00, 0.40,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
1.70, 1.70, 0.50, 2.40, 1.70, 1.70, 2.20, 1.70, 0.50, 2.50, 1.70, 2.40, 2.20, 1.70, 2.20, 0.70,
3.40, 3.40, 2.20, 4.10, 3.40, 3.40, 3.90, 3.40, 2.20, 4.20, 3.40, 4.10, 3.90, 3.40, 3.90, 2.40,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
3.70, 3.70, 2.50, 4.40, 3.70, 3.70, 4.20, 3.70, 2.50, 4.50, 3.70, 4.40, 4.20, 3.70, 4.20, 2.70,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
1.70, 1.70, 0.50, 2.40, 1.70, 1.70, 2.20, 1.70, 0.50, 2.50, 1.70, 2.40, 2.20, 1.70, 2.20, 0.70,
3.40, 3.40, 2.20, 4.10, 3.40, 3.40, 3.90, 3.40, 2.20, 4.20, 3.40, 4.10, 3.90, 3.40, 3.90, 2.40,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
3.40, 3.40, 2.20, 4.10, 3.40, 3.40, 3.90, 3.40, 2.20, 4.20, 3.40, 4.10, 3.90, 3.40, 3.90, 2.40,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 4.10, 3.60, 2.40, 4.40, 3.60, 4.30, 4.10, 3.60, 4.10, 2.60,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 4.10, 3.60, 2.40, 4.40, 3.60, 4.30, 4.10, 3.60, 4.10, 2.60,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 2.40, 1.90, 0.70, 2.70, 1.90, 2.60, 2.40, 1.90, 2.40, 0.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.40, 3.40, 2.20, 4.60, 3.40, 3.40, 4.00, 3.40, 2.20, 4.60, 3.40, 4.60, 4.00, 3.40, 4.00, 2.40,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
3.70, 3.70, 2.50, 4.90, 3.70, 3.70, 4.30, 3.70, 2.50, 4.90, 3.70, 4.90, 4.30, 3.70, 4.30, 2.70,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.40, 3.40, 2.20, 4.60, 3.40, 3.40, 4.00, 3.40, 2.20, 4.60, 3.40, 4.60, 4.00, 3.40, 4.00, 2.40,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
3.40, 3.40, 2.20, 4.60, 3.40, 3.40, 4.00, 3.40, 2.20, 4.60, 3.40, 4.60, 4.00, 3.40, 4.00, 2.40,
3.60, 3.60, 2.40, 4.80, 3.60, 3.60, 4.20, 3.60, 2.40, 4.80, 3.60, 4.80, 4.20, 3.60, 4.20, 2.60,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
3.60, 3.60, 2.40, 4.80, 3.60, 3.60, 4.20, 3.60, 2.40, 4.80, 3.60, 4.80, 4.20, 3.60, 4.20, 2.60,
1.90, 1.90, 0.70, 3.10, 1.90, 1.90, 2.50, 1.90, 0.70, 3.10, 1.90, 3.10, 2.50, 1.90, 2.50, 0.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 2.90, 2.90, 1.70, 3.80, 2.90, 3.60, 3.10, 2.90, 2.90, 1.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.20, 3.20, 2.00, 3.90, 3.20, 3.20, 3.20, 3.20, 2.00, 4.10, 3.20, 3.90, 3.40, 3.20, 3.20, 2.20,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 2.90, 2.90, 1.70, 3.80, 2.90, 3.60, 3.10, 2.90, 2.90, 1.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 2.90, 2.90, 1.70, 3.80, 2.90, 3.60, 3.10, 2.90, 2.90, 1.90,
3.10, 3.10, 1.90, 3.80, 3.10, 3.10, 3.10, 3.10, 1.90, 4.00, 3.10, 3.80, 3.30, 3.10, 3.10, 2.10,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.10, 3.10, 1.90, 3.80, 3.10, 3.10, 3.10, 3.10, 1.90, 4.00, 3.10, 3.80, 3.30, 3.10, 3.10, 2.10,
1.40, 1.40, 0.20, 2.10, 1.40, 1.40, 1.40, 1.40, 0.20, 2.30, 1.40, 2.10, 1.60, 1.40, 1.40, 0.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.00, 2.00, 0.80, 3.20, 2.00, 2.00, 2.60, 2.00, 0.80, 3.20, 2.00, 3.20, 2.60, 2.00, 2.60, 1.00,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.00, 2.00, 0.80, 3.20, 2.00, 2.00, 2.60, 2.00, 0.80, 3.20, 2.00, 3.20, 2.60, 2.00, 2.60, 1.00,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.00, 2.00, 0.80, 3.20, 2.00, 2.00, 2.60, 2.00, 0.80, 3.20, 2.00, 3.20, 2.60, 2.00, 2.60, 1.00,
2.50, 2.50, 1.30, 3.70, 2.50, 2.50, 3.10, 2.50, 1.30, 3.70, 2.50, 3.70, 3.10, 2.50, 3.10, 1.50,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.50, 2.50, 1.30, 3.70, 2.50, 2.50, 3.10, 2.50, 1.30, 3.70, 2.50, 3.70, 3.10, 2.50, 3.10, 1.50,
1.40, 1.40, 0.20, 2.60, 1.40, 1.40, 2.00, 1.40, 0.20, 2.60, 1.40, 2.60, 2.00, 1.40, 2.00, 0.40,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
1.50, 1.50, 0.30, 2.20, 1.50, 1.50, 1.50, 1.50, 0.30, 2.40, 1.50, 2.20, 1.70, 1.50, 1.50, 0.50,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
1.50, 1.50, 0.30, 2.20, 1.50, 1.50, 1.50, 1.50, 0.30, 2.40, 1.50, 2.20, 1.70, 1.50, 1.50, 0.50,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.50, 1.50, 0.30, 2.20, 1.50, 1.50, 1.50, 1.50, 0.30, 2.40, 1.50, 2.20, 1.70, 1.50, 1.50, 0.50,
2.00, 2.00, 0.80, 2.70, 2.00, 2.00, 2.00, 2.00, 0.80, 2.90, 2.00, 2.70, 2.20, 2.00, 2.00, 1.00,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.00, 2.00, 0.80, 2.70, 2.00, 2.00, 2.00, 2.00, 0.80, 2.90, 2.00, 2.70, 2.20, 2.00, 2.00, 1.00,
0.90, 0.90, -0.30, 1.60, 0.90, 0.90, 0.90, 0.90, -0.30, 1.80, 0.90, 1.60, 1.10, 0.90, 0.90, -0.10,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
0.70, 0.70, -0.50, 0.80, 0.70, 0.70, 0.30, 0.70, -0.50, 1.20, 0.70, 0.80, 0.30, 0.70, 0.30, -0.30,
1.50, 1.50, 0.30, 1.60, 1.50, 1.50, 1.10, 1.50, 0.30, 2.00, 1.50, 1.60, 1.10, 1.50, 1.10, 0.50,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
0.70, 0.70, -0.50, 0.80, 0.70, 0.70, 0.30, 0.70, -0.50, 1.20, 0.70, 0.80, 0.30, 0.70, 0.30, -0.30,
1.50, 1.50, 0.30, 1.60, 1.50, 1.50, 1.10, 1.50, 0.30, 2.00, 1.50, 1.60, 1.10, 1.50, 1.10, 0.50,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
1.50, 1.50, 0.30, 1.60, 1.50, 1.50, 1.10, 1.50, 0.30, 2.00, 1.50, 1.60, 1.10, 1.50, 1.10, 0.50,
2.00, 2.00, 0.80, 2.10, 2.00, 2.00, 1.60, 2.00, 0.80, 2.50, 2.00, 2.10, 1.60, 2.00, 1.60, 1.00,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
2.00, 2.00, 0.80, 2.10, 2.00, 2.00, 1.60, 2.00, 0.80, 2.50, 2.00, 2.10, 1.60, 2.00, 1.60, 1.00,
0.90, 0.90, -0.30, 1.00, 0.90, 0.90, 0.50, 0.90, -0.30, 1.40, 0.90, 1.00, 0.50, 0.90, 0.50, -0.10,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.70, 1.20, 0.00, 2.00, 1.20, 1.90, 1.70, 1.20, 1.70, 0.20,
2.00, 2.00, 0.80, 2.70, 2.00, 2.00, 2.50, 2.00, 0.80, 2.80, 2.00, 2.70, 2.50, 2.00, 2.50, 1.00,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.70, 1.20, 0.00, 2.00, 1.20, 1.90, 1.70, 1.20, 1.70, 0.20,
2.00, 2.00, 0.80, 2.70, 2.00, 2.00, 2.50, 2.00, 0.80, 2.80, 2.00, 2.70, 2.50, 2.00, 2.50, 1.00,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.00, 2.00, 0.80, 2.70, 2.00, 2.00, 2.50, 2.00, 0.80, 2.80, 2.00, 2.70, 2.50, 2.00, 2.50, 1.00,
2.50, 2.50, 1.30, 3.20, 2.50, 2.50, 3.00, 2.50, 1.30, 3.30, 2.50, 3.20, 3.00, 2.50, 3.00, 1.50,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.50, 2.50, 1.30, 3.20, 2.50, 2.50, 3.00, 2.50, 1.30, 3.30, 2.50, 3.20, 3.00, 2.50, 3.00, 1.50,
1.40, 1.40, 0.20, 2.10, 1.40, 1.40, 1.90, 1.40, 0.20, 2.20, 1.40, 2.10, 1.90, 1.40, 1.90, 0.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.00, 2.00, 0.80, 3.20, 2.00, 2.00, 2.60, 2.00, 0.80, 3.20, 2.00, 3.20, 2.60, 2.00, 2.60, 1.00,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.00, 2.00, 0.80, 3.20, 2.00, 2.00, 2.60, 2.00, 0.80, 3.20, 2.00, 3.20, 2.60, 2.00, 2.60, 1.00,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.00, 2.00, 0.80, 3.20, 2.00, 2.00, 2.60, 2.00, 0.80, 3.20, 2.00, 3.20, 2.60, 2.00, 2.60, 1.00,
2.50, 2.50, 1.30, 3.70, 2.50, 2.50, 3.10, 2.50, 1.30, 3.70, 2.50, 3.70, 3.10, 2.50, 3.10, 1.50,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.50, 2.50, 1.30, 3.70, 2.50, 2.50, 3.10, 2.50, 1.30, 3.70, 2.50, 3.70, 3.10, 2.50, 3.10, 1.50,
1.40, 1.40, 0.20, 2.60, 1.40, 1.40, 2.00, 1.40, 0.20, 2.60, 1.40, 2.60, 2.00, 1.40, 2.00, 0.40,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
1.50, 1.50, 0.30, 2.20, 1.50, 1.50, 1.50, 1.50, 0.30, 2.40, 1.50, 2.20, 1.70, 1.50, 1.50, 0.50,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
1.50, 1.50, 0.30, 2.20, 1.50, 1.50, 1.50, 1.50, 0.30, 2.40, 1.50, 2.20, 1.70, 1.50, 1.50, 0.50,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.50, 1.50, 0.30, 2.20, 1.50, 1.50, 1.50, 1.50, 0.30, 2.40, 1.50, 2.20, 1.70, 1.50, 1.50, 0.50,
2.00, 2.00, 0.80, 2.70, 2.00, 2.00, 2.00, 2.00, 0.80, 2.90, 2.00, 2.70, 2.20, 2.00, 2.00, 1.00,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.00, 2.00, 0.80, 2.70, 2.00, 2.00, 2.00, 2.00, 0.80, 2.90, 2.00, 2.70, 2.20, 2.00, 2.00, 1.00,
0.90, 0.90, -0.30, 1.60, 0.90, 0.90, 0.90, 0.90, -0.30, 1.80, 0.90, 1.60, 1.10, 0.90, 0.90, -0.10,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.60, 2.60, 1.40, 3.80, 2.60, 2.60, 3.20, 2.60, 1.40, 3.80, 2.60, 3.80, 3.20, 2.60, 3.20, 1.60,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.30, 3.30, 2.10, 4.50, 3.30, 3.30, 3.90, 3.30, 2.10, 4.50, 3.30, 4.50, 3.90, 3.30, 3.90, 2.30,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.10, 3.10, 1.90, 4.30, 3.10, 3.10, 3.70, 3.10, 1.90, 4.30, 3.10, 4.30, 3.70, 3.10, 3.70, 2.10,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.10, 3.10, 1.90, 4.30, 3.10, 3.10, 3.70, 3.10, 1.90, 4.30, 3.10, 4.30, 3.70, 3.10, 3.70, 2.10,
1.40, 1.40, 0.20, 2.60, 1.40, 1.40, 2.00, 1.40, 0.20, 2.60, 1.40, 2.60, 2.00, 1.40, 2.00, 0.40,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
2.10, 2.10, 0.90, 2.80, 2.10, 2.10, 2.10, 2.10, 0.90, 3.00, 2.10, 2.80, 2.30, 2.10, 2.10, 1.10,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.80, 2.80, 1.60, 3.50, 2.80, 2.80, 2.80, 2.80, 1.60, 3.70, 2.80, 3.50, 3.00, 2.80, 2.80, 1.80,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.60, 2.60, 1.40, 3.30, 2.60, 2.60, 2.60, 2.60, 1.40, 3.50, 2.60, 3.30, 2.80, 2.60, 2.60, 1.60,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.60, 2.60, 1.40, 3.30, 2.60, 2.60, 2.60, 2.60, 1.40, 3.50, 2.60, 3.30, 2.80, 2.60, 2.60, 1.60,
0.90, 0.90, -0.30, 1.60, 0.90, 0.90, 0.90, 0.90, -0.30, 1.80, 0.90, 1.60, 1.10, 0.90, 0.90, -0.10,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
0.70, 0.70, -0.50, 0.80, 0.70, 0.70, 0.30, 0.70, -0.50, 1.20, 0.70, 0.80, 0.30, 0.70, 0.30, -0.30,
2.10, 2.10, 0.90, 2.20, 2.10, 2.10, 1.70, 2.10, 0.90, 2.60, 2.10, 2.20, 1.70, 2.10, 1.70, 1.10,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
2.80, 2.80, 1.60, 2.90, 2.80, 2.80, 2.40, 2.80, 1.60, 3.30, 2.80, 2.90, 2.40, 2.80, 2.40, 1.80,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
0.70, 0.70, -0.50, 0.80, 0.70, 0.70, 0.30, 0.70, -0.50, 1.20, 0.70, 0.80, 0.30, 0.70, 0.30, -0.30,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
2.60, 2.60, 1.40, 2.70, 2.60, 2.60, 2.20, 2.60, 1.40, 3.10, 2.60, 2.70, 2.20, 2.60, 2.20, 1.60,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
2.60, 2.60, 1.40, 2.70, 2.60, 2.60, 2.20, 2.60, 1.40, 3.10, 2.60, 2.70, 2.20, 2.60, 2.20, 1.60,
0.90, 0.90, -0.30, 1.00, 0.90, 0.90, 0.50, 0.90, -0.30, 1.40, 0.90, 1.00, 0.50, 0.90, 0.50, -0.10,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.70, 1.20, 0.00, 2.00, 1.20, 1.90, 1.70, 1.20, 1.70, 0.20,
2.60, 2.60, 1.40, 3.30, 2.60, 2.60, 3.10, 2.60, 1.40, 3.40, 2.60, 3.30, 3.10, 2.60, 3.10, 1.60,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
3.30, 3.30, 2.10, 4.00, 3.30, 3.30, 3.80, 3.30, 2.10, 4.10, 3.30, 4.00, 3.80, 3.30, 3.80, 2.30,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.70, 1.20, 0.00, 2.00, 1.20, 1.90, 1.70, 1.20, 1.70, 0.20,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
3.10, 3.10, 1.90, 3.80, 3.10, 3.10, 3.60, 3.10, 1.90, 3.90, 3.10, 3.80, 3.60, 3.10, 3.60, 2.10,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
3.10, 3.10, 1.90, 3.80, 3.10, 3.10, 3.60, 3.10, 1.90, 3.90, 3.10, 3.80, 3.60, 3.10, 3.60, 2.10,
1.40, 1.40, 0.20, 2.10, 1.40, 1.40, 1.90, 1.40, 0.20, 2.20, 1.40, 2.10, 1.90, 1.40, 1.90, 0.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.60, 2.60, 1.40, 3.80, 2.60, 2.60, 3.20, 2.60, 1.40, 3.80, 2.60, 3.80, 3.20, 2.60, 3.20, 1.60,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.30, 3.30, 2.10, 4.50, 3.30, 3.30, 3.90, 3.30, 2.10, 4.50, 3.30, 4.50, 3.90, 3.30, 3.90, 2.30,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.10, 3.10, 1.90, 4.30, 3.10, 3.10, 3.70, 3.10, 1.90, 4.30, 3.10, 4.30, 3.70, 3.10, 3.70, 2.10,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.10, 3.10, 1.90, 4.30, 3.10, 3.10, 3.70, 3.10, 1.90, 4.30, 3.10, 4.30, 3.70, 3.10, 3.70, 2.10,
1.40, 1.40, 0.20, 2.60, 1.40, 1.40, 2.00, 1.40, 0.20, 2.60, 1.40, 2.60, 2.00, 1.40, 2.00, 0.40,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
2.10, 2.10, 0.90, 2.80, 2.10, 2.10, 2.10, 2.10, 0.90, 3.00, 2.10, 2.80, 2.30, 2.10, 2.10, 1.10,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.80, 2.80, 1.60, 3.50, 2.80, 2.80, 2.80, 2.80, 1.60, 3.70, 2.80, 3.50, 3.00, 2.80, 2.80, 1.80,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.60, 2.60, 1.40, 3.30, 2.60, 2.60, 2.60, 2.60, 1.40, 3.50, 2.60, 3.30, 2.80, 2.60, 2.60, 1.60,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.60, 2.60, 1.40, 3.30, 2.60, 2.60, 2.60, 2.60, 1.40, 3.50, 2.60, 3.30, 2.80, 2.60, 2.60, 1.60,
0.90, 0.90, -0.30, 1.60, 0.90, 0.90, 0.90, 0.90, -0.30, 1.80, 0.90, 1.60, 1.10, 0.90, 0.90, -0.10,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
1.90, 1.90, 0.70, 3.10, 1.90, 1.90, 2.50, 1.90, 0.70, 3.10, 1.90, 3.10, 2.50, 1.90, 2.50, 0.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
1.40, 1.40, 0.20, 2.10, 1.40, 1.40, 1.40, 1.40, 0.20, 2.30, 1.40, 2.10, 1.60, 1.40, 1.40, 0.40,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
1.20, 1.20, 0.00, 1.30, 1.20, 1.20, 0.80, 1.20, 0.00, 1.70, 1.20, 1.30, 0.80, 1.20, 0.80, 0.20,
3.00, 3.00, 1.80, 3.10, 3.00, 3.00, 2.60, 3.00, 1.80, 3.50, 3.00, 3.10, 2.60, 3.00, 2.60, 2.00,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
3.60, 3.60, 2.40, 3.70, 3.60, 3.60, 3.20, 3.60, 2.40, 4.10, 3.60, 3.70, 3.20, 3.60, 3.20, 2.60,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
1.20, 1.20, 0.00, 1.30, 1.20, 1.20, 0.80, 1.20, 0.00, 1.70, 1.20, 1.30, 0.80, 1.20, 0.80, 0.20,
3.00, 3.00, 1.80, 3.10, 3.00, 3.00, 2.60, 3.00, 1.80, 3.50, 3.00, 3.10, 2.60, 3.00, 2.60, 2.00,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
3.00, 3.00, 1.80, 3.10, 3.00, 3.00, 2.60, 3.00, 1.80, 3.50, 3.00, 3.10, 2.60, 3.00, 2.60, 2.00,
3.60, 3.60, 2.40, 3.70, 3.60, 3.60, 3.20, 3.60, 2.40, 4.10, 3.60, 3.70, 3.20, 3.60, 3.20, 2.60,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
3.60, 3.60, 2.40, 3.70, 3.60, 3.60, 3.20, 3.60, 2.40, 4.10, 3.60, 3.70, 3.20, 3.60, 3.20, 2.60,
1.40, 1.40, 0.20, 1.50, 1.40, 1.40, 1.00, 1.40, 0.20, 1.90, 1.40, 1.50, 1.00, 1.40, 1.00, 0.40,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
1.70, 1.70, 0.50, 2.40, 1.70, 1.70, 2.20, 1.70, 0.50, 2.50, 1.70, 2.40, 2.20, 1.70, 2.20, 0.70,
3.50, 3.50, 2.30, 4.20, 3.50, 3.50, 4.00, 3.50, 2.30, 4.30, 3.50, 4.20, 4.00, 3.50, 4.00, 2.50,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
4.10, 4.10, 2.90, 4.80, 4.10, 4.10, 4.60, 4.10, 2.90, 4.90, 4.10, 4.80, 4.60, 4.10, 4.60, 3.10,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
1.70, 1.70, 0.50, 2.40, 1.70, 1.70, 2.20, 1.70, 0.50, 2.50, 1.70, 2.40, 2.20, 1.70, 2.20, 0.70,
3.50, 3.50, 2.30, 4.20, 3.50, 3.50, 4.00, 3.50, 2.30, 4.30, 3.50, 4.20, 4.00, 3.50, 4.00, 2.50,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
3.50, 3.50, 2.30, 4.20, 3.50, 3.50, 4.00, 3.50, 2.30, 4.30, 3.50, 4.20, 4.00, 3.50, 4.00, 2.50,
4.10, 4.10, 2.90, 4.80, 4.10, 4.10, 4.60, 4.10, 2.90, 4.90, 4.10, 4.80, 4.60, 4.10, 4.60, 3.10,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
4.10, 4.10, 2.90, 4.80, 4.10, 4.10, 4.60, 4.10, 2.90, 4.90, 4.10, 4.80, 4.60, 4.10, 4.60, 3.10,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 2.40, 1.90, 0.70, 2.70, 1.90, 2.60, 2.40, 1.90, 2.40, 0.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
1.90, 1.90, 0.70, 3.10, 1.90, 1.90, 2.50, 1.90, 0.70, 3.10, 1.90, 3.10, 2.50, 1.90, 2.50, 0.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
1.40, 1.40, 0.20, 2.10, 1.40, 1.40, 1.40, 1.40, 0.20, 2.30, 1.40, 2.10, 1.60, 1.40, 1.40, 0.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.60, 2.60, 1.40, 3.80, 2.60, 2.60, 3.20, 2.60, 1.40, 3.80, 2.60, 3.80, 3.20, 2.60, 3.20, 1.60,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.30, 3.30, 2.10, 4.50, 3.30, 3.30, 3.90, 3.30, 2.10, 4.50, 3.30, 4.50, 3.90, 3.30, 3.90, 2.30,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.10, 3.10, 1.90, 4.30, 3.10, 3.10, 3.70, 3.10, 1.90, 4.30, 3.10, 4.30, 3.70, 3.10, 3.70, 2.10,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.10, 3.10, 1.90, 4.30, 3.10, 3.10, 3.70, 3.10, 1.90, 4.30, 3.10, 4.30, 3.70, 3.10, 3.70, 2.10,
1.40, 1.40, 0.20, 2.60, 1.40, 1.40, 2.00, 1.40, 0.20, 2.60, 1.40, 2.60, 2.00, 1.40, 2.00, 0.40,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
2.10, 2.10, 0.90, 2.80, 2.10, 2.10, 2.10, 2.10, 0.90, 3.00, 2.10, 2.80, 2.30, 2.10, 2.10, 1.10,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.80, 2.80, 1.60, 3.50, 2.80, 2.80, 2.80, 2.80, 1.60, 3.70, 2.80, 3.50, 3.00, 2.80, 2.80, 1.80,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.60, 2.60, 1.40, 3.30, 2.60, 2.60, 2.60, 2.60, 1.40, 3.50, 2.60, 3.30, 2.80, 2.60, 2.60, 1.60,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.60, 2.60, 1.40, 3.30, 2.60, 2.60, 2.60, 2.60, 1.40, 3.50, 2.60, 3.30, 2.80, 2.60, 2.60, 1.60,
0.90, 0.90, -0.30, 1.60, 0.90, 0.90, 0.90, 0.90, -0.30, 1.80, 0.90, 1.60, 1.10, 0.90, 0.90, -0.10,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
0.70, 0.70, -0.50, 0.80, 0.70, 0.70, 0.30, 0.70, -0.50, 1.20, 0.70, 0.80, 0.30, 0.70, 0.30, -0.30,
2.10, 2.10, 0.90, 2.20, 2.10, 2.10, 1.70, 2.10, 0.90, 2.60, 2.10, 2.20, 1.70, 2.10, 1.70, 1.10,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
2.80, 2.80, 1.60, 2.90, 2.80, 2.80, 2.40, 2.80, 1.60, 3.30, 2.80, 2.90, 2.40, 2.80, 2.40, 1.80,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
0.70, 0.70, -0.50, 0.80, 0.70, 0.70, 0.30, 0.70, -0.50, 1.20, 0.70, 0.80, 0.30, 0.70, 0.30, -0.30,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
2.60, 2.60, 1.40, 2.70, 2.60, 2.60, 2.20, 2.60, 1.40, 3.10, 2.60, 2.70, 2.20, 2.60, 2.20, 1.60,
1.90, 1.90, 0.70, 2.00, 1.90, 1.90, 1.50, 1.90, 0.70, 2.40, 1.90, 2.00, 1.50, 1.90, 1.50, 0.90,
2.60, 2.60, 1.40, 2.70, 2.60, 2.60, 2.20, 2.60, 1.40, 3.10, 2.60, 2.70, 2.20, 2.60, 2.20, 1.60,
0.90, 0.90, -0.30, 1.00, 0.90, 0.90, 0.50, 0.90, -0.30, 1.40, 0.90, 1.00, 0.50, 0.90, 0.50, -0.10,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.70, 1.20, 0.00, 2.00, 1.20, 1.90, 1.70, 1.20, 1.70, 0.20,
2.60, 2.60, 1.40, 3.30, 2.60, 2.60, 3.10, 2.60, 1.40, 3.40, 2.60, 3.30, 3.10, 2.60, 3.10, 1.60,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
3.30, 3.30, 2.10, 4.00, 3.30, 3.30, 3.80, 3.30, 2.10, 4.10, 3.30, 4.00, 3.80, 3.30, 3.80, 2.30,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.70, 1.20, 0.00, 2.00, 1.20, 1.90, 1.70, 1.20, 1.70, 0.20,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
3.10, 3.10, 1.90, 3.80, 3.10, 3.10, 3.60, 3.10, 1.90, 3.90, 3.10, 3.80, 3.60, 3.10, 3.60, 2.10,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.90, 2.40, 1.20, 3.20, 2.40, 3.10, 2.90, 2.40, 2.90, 1.40,
3.10, 3.10, 1.90, 3.80, 3.10, 3.10, 3.60, 3.10, 1.90, 3.90, 3.10, 3.80, 3.60, 3.10, 3.60, 2.10,
1.40, 1.40, 0.20, 2.10, 1.40, 1.40, 1.90, 1.40, 0.20, 2.20, 1.40, 2.10, 1.90, 1.40, 1.90, 0.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.60, 2.60, 1.40, 3.80, 2.60, 2.60, 3.20, 2.60, 1.40, 3.80, 2.60, 3.80, 3.20, 2.60, 3.20, 1.60,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.30, 3.30, 2.10, 4.50, 3.30, 3.30, 3.90, 3.30, 2.10, 4.50, 3.30, 4.50, 3.90, 3.30, 3.90, 2.30,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
1.20, 1.20, 0.00, 2.40, 1.20, 1.20, 1.80, 1.20, 0.00, 2.40, 1.20, 2.40, 1.80, 1.20, 1.80, 0.20,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.10, 3.10, 1.90, 4.30, 3.10, 3.10, 3.70, 3.10, 1.90, 4.30, 3.10, 4.30, 3.70, 3.10, 3.70, 2.10,
2.40, 2.40, 1.20, 3.60, 2.40, 2.40, 3.00, 2.40, 1.20, 3.60, 2.40, 3.60, 3.00, 2.40, 3.00, 1.40,
3.10, 3.10, 1.90, 4.30, 3.10, 3.10, 3.70, 3.10, 1.90, 4.30, 3.10, 4.30, 3.70, 3.10, 3.70, 2.10,
1.40, 1.40, 0.20, 2.60, 1.40, 1.40, 2.00, 1.40, 0.20, 2.60, 1.40, 2.60, 2.00, 1.40, 2.00, 0.40,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
2.10, 2.10, 0.90, 2.80, 2.10, 2.10, 2.10, 2.10, 0.90, 3.00, 2.10, 2.80, 2.30, 2.10, 2.10, 1.10,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.80, 2.80, 1.60, 3.50, 2.80, 2.80, 2.80, 2.80, 1.60, 3.70, 2.80, 3.50, 3.00, 2.80, 2.80, 1.80,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
0.70, 0.70, -0.50, 1.40, 0.70, 0.70, 0.70, 0.70, -0.50, 1.60, 0.70, 1.40, 0.90, 0.70, 0.70, -0.30,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.60, 2.60, 1.40, 3.30, 2.60, 2.60, 2.60, 2.60, 1.40, 3.50, 2.60, 3.30, 2.80, 2.60, 2.60, 1.60,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 1.90, 1.90, 0.70, 2.80, 1.90, 2.60, 2.10, 1.90, 1.90, 0.90,
2.60, 2.60, 1.40, 3.30, 2.60, 2.60, 2.60, 2.60, 1.40, 3.50, 2.60, 3.30, 2.80, 2.60, 2.60, 1.60,
0.90, 0.90, -0.30, 1.60, 0.90, 0.90, 0.90, 0.90, -0.30, 1.80, 0.90, 1.60, 1.10, 0.90, 0.90, -0.10,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
1.90, 1.90, 0.70, 3.10, 1.90, 1.90, 2.50, 1.90, 0.70, 3.10, 1.90, 3.10, 2.50, 1.90, 2.50, 0.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
1.40, 1.40, 0.20, 2.10, 1.40, 1.40, 1.40, 1.40, 0.20, 2.30, 1.40, 2.10, 1.60, 1.40, 1.40, 0.40,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
1.20, 1.20, 0.00, 1.30, 1.20, 1.20, 0.80, 1.20, 0.00, 1.70, 1.20, 1.30, 0.80, 1.20, 0.80, 0.20,
3.00, 3.00, 1.80, 3.10, 3.00, 3.00, 2.60, 3.00, 1.80, 3.50, 3.00, 3.10, 2.60, 3.00, 2.60, 2.00,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
3.60, 3.60, 2.40, 3.70, 3.60, 3.60, 3.20, 3.60, 2.40, 4.10, 3.60, 3.70, 3.20, 3.60, 3.20, 2.60,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
1.20, 1.20, 0.00, 1.30, 1.20, 1.20, 0.80, 1.20, 0.00, 1.70, 1.20, 1.30, 0.80, 1.20, 0.80, 0.20,
3.00, 3.00, 1.80, 3.10, 3.00, 3.00, 2.60, 3.00, 1.80, 3.50, 3.00, 3.10, 2.60, 3.00, 2.60, 2.00,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
3.00, 3.00, 1.80, 3.10, 3.00, 3.00, 2.60, 3.00, 1.80, 3.50, 3.00, 3.10, 2.60, 3.00, 2.60, 2.00,
3.60, 3.60, 2.40, 3.70, 3.60, 3.60, 3.20, 3.60, 2.40, 4.10, 3.60, 3.70, 3.20, 3.60, 3.20, 2.60,
2.40, 2.40, 1.20, 2.50, 2.40, 2.40, 2.00, 2.40, 1.20, 2.90, 2.40, 2.50, 2.00, 2.40, 2.00, 1.40,
3.60, 3.60, 2.40, 3.70, 3.60, 3.60, 3.20, 3.60, 2.40, 4.10, 3.60, 3.70, 3.20, 3.60, 3.20, 2.60,
1.40, 1.40, 0.20, 1.50, 1.40, 1.40, 1.00, 1.40, 0.20, 1.90, 1.40, 1.50, 1.00, 1.40, 1.00, 0.40,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
1.70, 1.70, 0.50, 2.40, 1.70, 1.70, 2.20, 1.70, 0.50, 2.50, 1.70, 2.40, 2.20, 1.70, 2.20, 0.70,
3.50, 3.50, 2.30, 4.20, 3.50, 3.50, 4.00, 3.50, 2.30, 4.30, 3.50, 4.20, 4.00, 3.50, 4.00, 2.50,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
4.10, 4.10, 2.90, 4.80, 4.10, 4.10, 4.60, 4.10, 2.90, 4.90, 4.10, 4.80, 4.60, 4.10, 4.60, 3.10,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
1.70, 1.70, 0.50, 2.40, 1.70, 1.70, 2.20, 1.70, 0.50, 2.50, 1.70, 2.40, 2.20, 1.70, 2.20, 0.70,
3.50, 3.50, 2.30, 4.20, 3.50, 3.50, 4.00, 3.50, 2.30, 4.30, 3.50, 4.20, 4.00, 3.50, 4.00, 2.50,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
3.50, 3.50, 2.30, 4.20, 3.50, 3.50, 4.00, 3.50, 2.30, 4.30, 3.50, 4.20, 4.00, 3.50, 4.00, 2.50,
4.10, 4.10, 2.90, 4.80, 4.10, 4.10, 4.60, 4.10, 2.90, 4.90, 4.10, 4.80, 4.60, 4.10, 4.60, 3.10,
2.90, 2.90, 1.70, 3.60, 2.90, 2.90, 3.40, 2.90, 1.70, 3.70, 2.90, 3.60, 3.40, 2.90, 3.40, 1.90,
4.10, 4.10, 2.90, 4.80, 4.10, 4.10, 4.60, 4.10, 2.90, 4.90, 4.10, 4.80, 4.60, 4.10, 4.60, 3.10,
1.90, 1.90, 0.70, 2.60, 1.90, 1.90, 2.40, 1.90, 0.70, 2.70, 1.90, 2.60, 2.40, 1.90, 2.40, 0.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
1.70, 1.70, 0.50, 2.90, 1.70, 1.70, 2.30, 1.70, 0.50, 2.90, 1.70, 2.90, 2.30, 1.70, 2.30, 0.70,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
3.50, 3.50, 2.30, 4.70, 3.50, 3.50, 4.10, 3.50, 2.30, 4.70, 3.50, 4.70, 4.10, 3.50, 4.10, 2.50,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
2.90, 2.90, 1.70, 4.10, 2.90, 2.90, 3.50, 2.90, 1.70, 4.10, 2.90, 4.10, 3.50, 2.90, 3.50, 1.90,
4.10, 4.10, 2.90, 5.30, 4.10, 4.10, 4.70, 4.10, 2.90, 5.30, 4.10, 5.30, 4.70, 4.10, 4.70, 3.10,
1.90, 1.90, 0.70, 3.10, 1.90, 1.90, 2.50, 1.90, 0.70, 3.10, 1.90, 3.10, 2.50, 1.90, 2.50, 0.90,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
1.20, 1.20, 0.00, 1.90, 1.20, 1.20, 1.20, 1.20, 0.00, 2.10, 1.20, 1.90, 1.40, 1.20, 1.20, 0.20,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.00, 3.00, 1.80, 3.70, 3.00, 3.00, 3.00, 3.00, 1.80, 3.90, 3.00, 3.70, 3.20, 3.00, 3.00, 2.00,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
2.40, 2.40, 1.20, 3.10, 2.40, 2.40, 2.40, 2.40, 1.20, 3.30, 2.40, 3.10, 2.60, 2.40, 2.40, 1.40,
3.60, 3.60, 2.40, 4.30, 3.60, 3.60, 3.60, 3.60, 2.40, 4.50, 3.60, 4.30, 3.80, 3.60, 3.60, 2.60,
1.40, 1.40, 0.20, 2.10, 1.40, 1.40, 1.40, 1.40, 0.20, 2.30, 1.40, 2.10, 1.60, 1.40, 1.40, 0.40
};
////////////////////////////////////////////////////
float calculate_energy(int start,int end);
float eHairpin_size(int len);
float eBuldge_size(int len);
float eInternal_size(int len);
float eHairpin(int i, int j);
float eTerminal_mismatch(int i, int j);
float eDangle(int i,int j,int d);
float eInternal(int i,int j,int i2,int j2);
float eTriloop(int i);
float eTetraloop(int i);
float eloop(int branches, int i[],int j[]);
float eMultiloop(int i,int j);
float eStack(int i, int j);
int isPairing(char A, char B) {
char A1;
char B1;
A1 = toupper(A);
B1 = toupper(B);
if (A1 == 'A' && B1 == 'U')
return 0;
else if (A1 == 'U' && B1 == 'A')
return 3;
else if (A1 == 'G' && B1 == 'U')
return 4;
else if (A1 == 'U' && B1 == 'G')
return 5;
else if (A1 == 'G' && B1 == 'C')
return 2;
else if (A1 == 'C' && B1 == 'G')
return 1;
else
return -1;
}
float eTriloop(int i){ return 0; }
float eTetraloop(int i){
int j;
char *str;
str = (char *)malloc(sizeof(char)*6);
for (j=0; j<6; j++){
str[j] = str[i+j];
}
if (strcmp(str,"GGGGAC") == 0) return -3.00;
else if (strcmp(str,"GGUGAC") == 0) return -3.00;
else if (strcmp(str,"CGAAAG") == 0) return -3.00;
else if (strcmp(str,"GGAGAC") == 0) return -3.00;
else if (strcmp(str,"CGCAAG") == 0) return -3.00;
else if (strcmp(str,"GGAAAC") == 0) return -3.00;
else if (strcmp(str,"CGGAAG") == 0) return -3.00;
else if (strcmp(str,"CUUCGG") == 0) return -3.00;
else if (strcmp(str,"CGUGAG") == 0) return -3.00;
else if (strcmp(str,"CGAAGG") == 0) return -2.50;
else if (strcmp(str,"CUACGG") == 0) return -2.50;
else if (strcmp(str,"GGCAAC") == 0) return -2.50;
else if (strcmp(str,"CGCGAG") == 0) return -2.50;
else if (strcmp(str,"UGAGAG") == 0) return -2.50;
else if (strcmp(str,"CGAGAG") == 0) return -2.00;
else if (strcmp(str,"AGAAAU") == 0) return -2.00;
else if (strcmp(str,"CGUAAG") == 0) return -2.00;
else if (strcmp(str,"CUAACG") == 0) return -2.00;
else if (strcmp(str,"UGAAAG") == 0) return -2.00;
else if (strcmp(str,"GGAAGC") == 0) return -1.50;
else if (strcmp(str,"GGGAAC") == 0) return -1.50;
else if (strcmp(str,"UGAAAA") == 0) return -1.50;
else if (strcmp(str,"AGCAAU") == 0) return -1.50;
else if (strcmp(str,"AGUAAU") == 0) return -1.50;
else if (strcmp(str,"CGGGAG") == 0) return -1.50;
else if (strcmp(str,"AGUGAU") == 0) return -1.50;
else if (strcmp(str,"GGCGAC") == 0) return -1.50;
else if (strcmp(str,"GGGAGC") == 0) return -1.50;
else if (strcmp(str,"GUGAAC") == 0) return -1.50;
else if (strcmp(str,"UGGAAA") == 0) return -1.50;
else return 0;
}
float min(float a,float b){
if (a <b)
return a;
else
return b;
}
int isBase(char A){
A = toupper(A);
if (A == 'A')
return 0;
else if (A == 'U')
return 1;
else if (A == 'G')
return 2;
else if (A == 'C')
return 3;
else
return -1;
}
float eHairpin_size(int len){
if (len == 0)
return INF;
else if(len ==1)
return INF;
else if(len ==2)
return INF;
else if(len ==3)
return 5.7;
else if(len ==4)
return 5.6;
else if(len ==5)
return 5.6;
else if(len ==6)
return 5.4;
else if(len ==7)
return 5.9;
else if(len ==8)
return 5.6;
else if(len ==9)
return 6.4;
else if(len ==10)
return 6.5;
else if(len ==11)
return 6.6;
else if(len ==12)
return 6.7;
else if(len ==13)
return 6.8;
else if(len ==14)
return 6.9;
else if(len ==15)
return 6.9;
else if(len ==16)
return 7.0;
else if(len ==17)
return 7.1;
else if(len ==18)
return 7.1;
else if(len ==19)
return 7.2;
else if(len ==20)
return 7.2;
else if(len ==21)
return 7.3;
else if(len ==22)
return 7.3;
else if(len ==23)
return 7.4;
else if(len ==24)
return 7.4;
else if(len ==25)
return 7.5;
else if(len ==26)
return 7.5;
else if(len ==27)
return 7.5;
else if(len ==28)
return 7.6;
else if(len ==29)
return 7.6;
else if(len >=30)
return 7.7/*+(1.079*log(len/30))*/;