CSES · 1095

Exponentiation

This C++ solution uses mathematical reasoning for CSES 1095 Exponentiation. Read the reasoning, inspect the code, or try your own test case below.

1095MathMathematical reasoningC++27 lines
Solution087of 248
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Approach

Mathematical reasoning

Exponentiation task requires a^b modulo 1e9+7 for each query, exactly as implemented.

Math

Problem and code

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Written by benbenyaojifen. Try the problem first, then compare your approach with the code.

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Implementation

Exponentiation.cpp

C++

    #include <bits/stdc++.h>
    using namespace std;
    using ll = long long;
    using i128 = __int128;
    const int inf = 1e9;
    const ll INF = 1e18; //❄️
    const int mod = 1e9 + 7;
    ll power(ll a, ll b) {
        ll res = 1;
        a %= mod;
        while (b) {
            if (b & 1) res = ((res % mod) * (a % mod)) % mod;
            a = ((a % mod) * (a % mod)) % mod;
            b >>= 1;
        }
        return res;
    }
    int main() {
        ios::sync_with_stdio(0); cin.tie(0); 
        int n; cin >> n;
        while (n--) {
            ll a, b; cin >> a >> b;
            if (a == 0 && b == 0) cout << 1 << '\n';
            else cout << power(a, b) << '\n';
        }
        return 0;
    }
        

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