Cod sursa(job #2456285)

Utilizator pishcotMiruna Turbatu pishcot Data 14 septembrie 2019 09:37:44
Problema Ridicare la putere in timp logaritmic Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.77 kb
#include <bits/stdc++.h>
#define MOD 1999999973
#define nat long long
using namespace std;

ifstream fin("lgput.in");
ofstream fout("lgput.out");


///a^100 = a^64 * a^32 * a^4;
///100 (10) = 1100100 (2)
/// a
nat lgput1(nat a, nat n)
{
    nat p = 1;
    while(n)
    {
        if(n % 2 == 1) p = p * a % MOD;
        n /= 2;
        a = a * a % MOD;
    }
    return p;
}

nat lgput2(nat a, nat n)
{
    nat p = 1, i = 0;
    nat t[32];
    t[0] = a;
    for(i = 1; i <= 30; i++)
        t[i] = t[i - 1] * t[i - 1] % MOD;
    i = 0;
    while(n)
    {
        if(n % 2 == 1) p = p * t[i] % MOD;
        n /= 2;
        i++;
    }
    return p;
}

int main()
{
    nat a , n;
    fin >> a >> n;
    fout << lgput2(a , n);
    return 0;
}