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Cod sursa(job #302615)
#include <cstdio>
#include <vector>
#include <queue>
#include <stack>
#include <list>
#include <set>
#include <algorithm>
#include <utility>
#include <string>
#include <functional>
#include <sstream>
#include <fstream>
#include <iostream>
using namespace std;
#define FOR(i,a,b) for (i=a;i<=b;i++)
#define fori(it,v) for (it=(v).begin();it!=(v).end();it++)
#define pb push_back
#define mp make_pair
#define fs first
#define ss second
#define all(c) c.begin(),c.end()
#define pf push_front
#define popb pop_back
#define popf pop_front
FILE *in,*out;
long long euler(long long n)
{
long long i;
long long rez=n;
for(i=2;(i*i)<=n;i++)
if (n%i==0)
{
rez=rez/i*(i-1);
while (n%i==0)
n/=i;
}
if (n!=1)
{
rez=rez/n*(n-1);
}
return rez;
}
int main()
{
long long n,A,x,i,rez=1;;
in=fopen("inversmodular.in","r");
out=fopen("inversmodular.out","w");
fscanf(in,"%lld%lld\n",&A,&n);
x=euler(n);
x--;
for(i=1;i<=x;i<<=1)
{
if (x&i)
rez=(rez*A)%n;
A=(A*A)%n;
}
fprintf(out,"%lld\n",rez);
fclose(in);
fclose(out);
return 0;
}