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Cod sursa(job #703674)
#include<stdio.h>
FILE*f=fopen("inversmodular.in","r");
FILE*g=fopen("inversmodular.out","w");
int A,N;
void gcd ( int a , int b , int &x , int &y ){
if ( !b ){
x = 1; y = 0;
return ;
}
int x0,y0;
gcd(b,a%b,x0,y0);
x = y0;
y = x0 + (a/b)*y0;
}
int main () {
fscanf(f,"%d %d",&A,&N);
int inv,y = 0;
gcd(A,N,inv,y);
if ( inv <= 0 ){
int imp = (-inv) / N + 1;
inv = inv + imp*N;
}
fprintf(g,"%d\n",inv);
fclose(f);
fclose(g);
return 0;
}