結果

問題 No.2527 H and W
コンテスト
ユーザー cutmdo
提出日時 2023-11-03 21:36:39
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 138 ms / 2,000 ms
コード長 5,417 bytes
コンパイル時間 10,964 ms
コンパイル使用メモリ 290,660 KB
最終ジャッジ日時 2025-02-17 17:50:07
ジャッジサーバーID
（参考情報） 		judge5 / judge2
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
sample AC * 3
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 # 

//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,avx512f")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <iostream>
#include <iomanip>
#include <string>
#include <cmath>
#include <algorithm>
#include <vector>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <list>
#include <stack>
#include <queue>
#include <bitset>
#include <numeric>
#include <cassert>
#include <memory>
#include <random>
#include <functional>
#include <complex>
#include <immintrin.h>
#include <stdexcept>
#ifdef DEBUG
#include "./CompetitiveProgrammingCpp/Utils/debug.hpp"
#include "./CompetitiveProgrammingCpp/Utils/Timer.hpp"
#include "./CompetitiveProgrammingCpp/Utils/sample.hpp"
#else
#define dump(...)
template<class T>constexpr inline auto d_val(T a, T b) { return a; }
#endif

/* macro */
#define FOR(i, b, e) for(ll i = (ll)(b); i < (ll)(e); ++i)
#define RFOR(i, b, e) for(ll i = (ll)((e)-1); i >= (ll)(b); --i)
#define REP(i, n) FOR(i, 0, (n))
#define RREP(i, n) RFOR(i, 0, (n))
#define REPC(x,c) for(const auto& x:(c))
#define REPI2(it,b,e) for(auto it = (b); it != (e); ++it)
#define REPI(it,c) REPI2(it, (c).begin(), (c).end())
#define RREPI(it,c) REPI2(it, (c).rbegin(), (c).rend())
#define REPI_ERACE2(it, b, e) for(auto it = (b); it != (e);)
#define REPI_ERACE(it, c) REPI_ERACE2(it, (c).begin(), (c).end())
#define ALL(x) (x).begin(),(x).end()
/* macro func */
template<class T>
inline auto sort(T& t) { std::sort(ALL(t)); }
template<class T>
inline auto rsort(T& t) { std::sort((t).rbegin(), (t).rend()); }
template<class T, class S>
inline auto chmax(T& t, const S& s) { if(s > t) { t = s; return true; } return false; }
template<class T, class S>
inline auto chmin(T& t, const S& s) { if(s < t) { t = s; return true; } return false; }
inline auto BR() { std::cout << "\n"; }

/* type define */
using ll = long long;
template<class T>
using V = std::vector<T>;
using VS = V<std::string>;
using VL = V<ll>;
using VVL = V<VL>;
template<class T = ll, class U = T>
using P = std::pair<T, U>;
using PAIR = P<ll>;

/* using std */
using std::cout;
using std::cin;
using std::cerr;
constexpr char endl = '\n';

/* Initial processing  */
struct Preprocessing { Preprocessing() { std::cin.tie(0); std::ios::sync_with_stdio(0); }; }_Preprocessing;

/* define hash */
constexpr unsigned int static_random() { return 1u * __TIME__[0] * __TIME__[1] * __TIME__[3] * __TIME__[4] * __TIME__[6] * __TIME__[7]; }
template<class T> struct Hash { auto operator()(T x) const { return std::hash<T>()(x) ^ static_random(); } };
template<> struct Hash<std::pair<int, int>> { auto operator()(const std::pair<int, int>& x) const { return Hash<long long>()(x.first << 31 | x.second); } };

/* input */
template<class T> std::istream& operator >> (std::istream& is, std::vector<T>& vec) { for(T& x : vec) is >> x; return is; }

/* constant value */
// constexpr ll MOD = 1000000007;
constexpr ll MOD = 998244353;

//=============================================================================================


class ModCalculator {
    const long long m_mod;
    const std::vector<long long> m_fac;
    const std::vector<long long> m_finv;

    auto constructFac(long long s) {
        std::vector<long long> fac(s);
        fac[0] = fac[1] = 1;
        for(long long i = 2; i < s; ++i) {
            fac[i] = fac[i - 1] * i;
            if(fac[i] > m_mod) { fac[i] %= m_mod; }
        }
        return fac;
    }
    auto constructInv(long long s) {
        std::vector<long long> finv(s);
        finv[s - 1] = this->pow(m_fac[s - 1], m_mod - 2);
        for(long long i = s - 2; i >= 0; --i) {
            finv[i] = finv[i + 1] * (i + 1);
            if(finv[i] > m_mod) { finv[i] %= m_mod; }
        }
        return finv;
    }
public:
    ModCalculator(long long mod, long long size = 3 * 1e6) :
        m_mod(mod), m_fac(constructFac(size)), m_finv(constructInv(size)) {
    }

    static long long pow(long long a, long long b, long long mod) {
        a %= mod;
        long long ans = 1;
        while(b > 0) {
            if(b & 1) { ans *= a; if(ans >= mod) { ans %= mod; } }
            b >>= 1; a *= a; if(a >= mod) { a %= mod; }
        }
        return ans;
    }
    long long pow(long long a, long long b) const { return pow(a, b, m_mod); }

    auto fact(int n) const {
        if(n < 0) { return 0LL; }
        return m_fac[n];
    }

    auto factInv(int n) const {
        if(n < 0) { return 0LL; }
        return m_finv[n];
    }

    auto comb(int n, int r) const {
        auto val = fact(n) * factInv(r);
        if(val >= m_mod) { val %= m_mod; }
        val *= factInv(n - r);
        if(val >= m_mod) { val %= m_mod; }
        return val;
    }

    auto perm(int n, int r) const {
        auto val = fact(n) * factInv(n - r);
        if(val >= m_mod) { val %= m_mod; }
        return val;
    }

    auto inv(int n) const {
        return pow(n, m_mod - 2);
    }
}calc(MOD);

signed main() {
    ll h, w, k;
    cin >> h >> w >> k;

    std::set<ll> st;
    FOR(y, 1, std::sqrt(k) + 5) if(k % y == 0) { st.emplace(y); st.emplace(k / y); }

    ll ans = 0;
    REPC(x, st) {
        auto y = k / x;
        if(x > w || y > h) { continue; }
        dump(x, y);
        ans += calc.comb(w, x) * calc.comb(h, y) % MOD;
        ans %= MOD;
    }
    cout << ans << endl;
}
0