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correlation-hackerrank.cpp
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correlation-hackerrank.cpp
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#define gc getchar_unlocked
#include <cmath>
#include <cstdio>
#include <vector>
#include <iostream>
#include <algorithm>
#include<math.h>
using namespace std;
void scanint(int &x)
{
register int c = gc();
x = 0;
for(;(c<48 || c>57);c = gc());
for(;c>47 && c<58;c = gc()) {x = (x<<1) + (x<<3) + c - 48;}
}
int main() {
/* Enter your code here. Read input from STDIN. Print output to STDOUT */
int n;
scanf("%d",&n);
int i,j;
int mat[3][n];
for(i=0;i<n;i++)
{
for(j=0;j<3;j++)
scanint(mat[j][i]);
}
double sqsum[3]={0,0,0},sumsq[3]={0,0,0},prosum[3]={0,0,0};
for(j=0;j<3;j++)
{
for(i=0;i<n;i++)
{
sqsum[j]=sqsum[j]+mat[j][i];
sumsq[j]=sumsq[j]+mat[j][i]*mat[j][i];
}
}
for(i=0;i<n;i++)
{
prosum[0]=prosum[0]+mat[0][i]*mat[1][i];
prosum[1]=prosum[1]+mat[1][i]*mat[2][i];
prosum[2]=prosum[2]+mat[2][i]*mat[0][i];
}
/*float cr[3];
cr[0]=(n*prosum[0]-sqsum[0]*sqsum[1])/sqrt((n*sumsq[0]-sqsum[0]*sqsum[0])*(n*sumsq[1]-sqsum[1]*sqsum[1]) );
cr[1]=(n*prosum[1]-sqsum[1]*sqsum[2])/sqrt((n*sumsq[2]-sqsum[2]*sqsum[2])*(n*sumsq[1]-sqsum[1]*sqsum[1]) );
cr[2]=(n*prosum[2]-sqsum[0]*sqsum[2])/sqrt((n*sumsq[0]-sqsum[0]*sqsum[0])*(n*sumsq[2]-sqsum[2]*sqsum[2]) );*/
double cr[3];
long int a,b,c;
double d,e;
a=n*prosum[0]-sqsum[0]*sqsum[1];
b=n*sumsq[0]-sqsum[0]*sqsum[0];
c= n*sumsq[1]-sqsum[1]*sqsum[1];
d=(float)b*c;
e=(float)sqrt(d);
cr[0]=(float)a/e;
//printf("%d %d %d %f %f\n",a,b,c,d,e);
a=n*prosum[1]-sqsum[2]*sqsum[1];
b=n*sumsq[2]-sqsum[2]*sqsum[2];
c= n*sumsq[1]-sqsum[1]*sqsum[1];
d=(float)b*c;
e=(float)sqrt(d);
cr[1]=(float)a/e;
// printf("%d %d %d %f %f\n",a,b,c,d,e);
a=n*prosum[2]-sqsum[2]*sqsum[0];
b=n*sumsq[0]-sqsum[0]*sqsum[0];
c= n*sumsq[2]-sqsum[2]*sqsum[2];
d=(float)b*c;
e=(float)sqrt(d);
cr[2]=(float)a/e;
//printf("%d %d %d %f %f\n",a,b,c,d,e);
printf("%.2f\n%.2f\n%.2f",cr[0],cr[1],cr[2]);
return 0;
}