結果

問題 No.1161 Many Powers
ユーザー ningenMe
提出日時 2020-10-04 03:19:32
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 78 ms / 2,000 ms
コード長 3,723 bytes
コンパイル時間 1,869 ms
コンパイル使用メモリ 193,636 KB
最終ジャッジ日時 2025-01-15 02:17:51
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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ファイルパターン 結果
sample AC * 2
other AC * 23
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;

/*
 * @title RuntimeModInt
 * @docs md/util/RuntimeModInt.md
 */
template<long long& mod> class RuntimeModInt {
public:
    long long x;
    constexpr RuntimeModInt():x(0) {}
    constexpr RuntimeModInt(long long y) : x(y>=0?(y%mod): (mod - (-y)%mod)%mod) {}
    RuntimeModInt &operator+=(const RuntimeModInt &p) {if((x += p.x) >= mod) x -= mod;return *this;}
    RuntimeModInt &operator+=(const long long y) {RuntimeModInt p(y);if((x += p.x) >= mod) x -= mod;return *this;}
    RuntimeModInt &operator+=(const int y) {RuntimeModInt p(y);if((x += p.x) >= mod) x -= mod;return *this;}
    RuntimeModInt &operator-=(const RuntimeModInt &p) {if((x += mod - p.x) >= mod) x -= mod;return *this;}
    RuntimeModInt &operator-=(const long long y) {RuntimeModInt p(y);if((x += mod - p.x) >= mod) x -= mod;return *this;}
    RuntimeModInt &operator-=(const int y) {RuntimeModInt p(y);if((x += mod - p.x) >= mod) x -= mod;return *this;}
    RuntimeModInt &operator*=(const RuntimeModInt &p) {x = (x * p.x % mod);return *this;}
    RuntimeModInt &operator*=(const long long y) {RuntimeModInt p(y);x = (x * p.x % mod);return *this;}
    RuntimeModInt &operator*=(const int y) {RuntimeModInt p(y);x = (x * p.x % mod);return *this;}
    RuntimeModInt &operator^=(const RuntimeModInt &p) {x = (x ^ p.x) % mod;return *this;}
    RuntimeModInt &operator^=(const long long y) {RuntimeModInt p(y);x = (x ^ p.x) % mod;return *this;}
    RuntimeModInt &operator^=(const int y) {RuntimeModInt p(y);x = (x ^ p.x) % mod;return *this;}
    RuntimeModInt &operator/=(const RuntimeModInt &p) {*this *= p.inv();return *this;}
    RuntimeModInt &operator/=(const long long y) {RuntimeModInt p(y);*this *= p.inv();return *this;}
    RuntimeModInt &operator/=(const int y) {RuntimeModInt p(y);*this *= p.inv();return *this;}
    RuntimeModInt operator=(const int y) {RuntimeModInt p(y);*this = p;return *this;}
    RuntimeModInt operator=(const long long y) {RuntimeModInt p(y);*this = p;return *this;}
    RuntimeModInt operator-() const {return RuntimeModInt(-x); }
    RuntimeModInt operator++() {x++;if(x>=mod) x-=mod;return *this;}
    RuntimeModInt operator--() {x--;if(x<0) x+=mod;return *this;}
    RuntimeModInt operator+(const RuntimeModInt &p) const { return RuntimeModInt(*this) += p; }
    RuntimeModInt operator-(const RuntimeModInt &p) const { return RuntimeModInt(*this) -= p; }
    RuntimeModInt operator*(const RuntimeModInt &p) const { return RuntimeModInt(*this) *= p; }
    RuntimeModInt operator/(const RuntimeModInt &p) const { return RuntimeModInt(*this) /= p; }
    RuntimeModInt operator^(const RuntimeModInt &p) const { return RuntimeModInt(*this) ^= p; }
    bool operator==(const RuntimeModInt &p) const { return x == p.x; }
    bool operator!=(const RuntimeModInt &p) const { return x != p.x; }
    RuntimeModInt inv() const {int a=x,b=mod,u=1,v=0,t;while(b > 0) {t = a / b;swap(a -= t * b, b);swap(u -= t * v, v);} return RuntimeModInt(u);}
    RuntimeModInt pow(long long n) const {RuntimeModInt ret(1), mul(x);for(;n > 0;mul *= mul,n >>= 1) if(n & 1) ret *= mul;return ret;}
    friend ostream &operator<<(ostream &os, const RuntimeModInt &p) {return os << p.x;}
    friend istream &operator>>(istream &is, RuntimeModInt &a) {long long t;is >> t;a = RuntimeModInt<mod>(t);return (is);}
};
long long mod;
using modint = RuntimeModInt<mod>;

int main() {
	long long A,B,C;
	cin >> A >> B >> C;
	mod = C;
	modint ans = 0;
	array<modint,100001> cnt;
	for(long long i = 1; i <= C; ++i) {
		cnt[i] = modint(i).pow(B);
	}
	for(long long i = 1; i <= A%C; ++i) {
		ans += cnt[i];
	}
	ans += accumulate(cnt.begin(),cnt.begin()+C,modint(0))*(A/C);
	cout << ans << "\n";
    return 0;
}
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