結果
問題 | No.2527 H and W |
ユーザー |
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提出日時 | 2023-11-03 21:47:07 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 24 ms / 2,000 ms |
コード長 | 4,410 bytes |
コンパイル時間 | 1,897 ms |
コンパイル使用メモリ | 198,712 KB |
最終ジャッジ日時 | 2025-02-17 18:03:04 |
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 * 3 |
other | AC * 23 |
ソースコード
// (◕ᴗ◕✿)#include <bits/stdc++.h>#define rep(i, n) for (ll i = 0; i < (n); i++)#define srep(i, s, n) for (ll i = s; i < (n); i++)#define len(x) ((int)(x).size())#define all(x) (x).begin(), (x).end()using namespace std;template<typename T> using vc = vector<T>;template<typename T> using vv = vc<vc<T>>;template<typename T> using vvv = vv<vc<T>>;using vi = vc<int>;using vvi = vv<int>; using vvvi = vv<vi>;using ll = long long;using vl = vc<ll>;using vvl = vv<ll>; using vvvl = vv<vl>;using ld = long double; using vld = vc<ld>; using vvld = vc<vld>; using vvvld = vc<vvld>;using uint = unsigned int;using ull = unsigned long long;const ld pi = 3.141592653589793;const int inf = 0x3f3f3f3f;const ll INF = 0x3f3f3f3f3f3f3f3f;// const ll mod = 1000000007;const ll mod = 998244353;inline bool inside(long long y, long long x, long long H, long long W) {return 0 <= (y) and (y) < (H) and 0 <= (x) and (x) < (W); }#define debug(var) do{std::cout << #var << " : \n";view(var);}while(0)template<typename T> void view(T e){cout << e << endl;}template<typename T> void view(const vc<T>& v){for(const auto& e : v){ cout << e << " "; } cout << endl;}template<typename T> void view(const vv<T>& vv){ for(const auto& v : vv){ view(v); } }struct modint {ll val;using mint = modint;modint() {};modint(ll v) {if (0 <= v && v < mod) val = v;else{v %= mod;if (v < 0) v += mod;val = v;}}mint operator++(int){val++;if (val == mod) val = 0;return *this;}mint operator--(int){if (val == 0) val = mod;val--;return *this;}mint& operator+=(const mint& v){val += v.val;if (val > mod) val -= mod;return *this;}friend mint operator+(const mint& u, const mint& v){return mint(u) += v;}mint& operator-=(const mint& v){val -= v.val;if (val < 0) val += mod;return *this;}friend mint operator-(const mint& u, const mint& v){return mint(u) -= v;}mint& operator*=(const mint& v){val *= v.val;if (val > mod) val %= mod;return *this;}friend mint operator*(const mint& u, const mint& v){return mint(u) *= v;}mint pow(ll n){mint a = *this, ret = 1;while (n > 0){if (n & 1) ret *= a;a *= a;n >>= 1;}return ret;}mint operator/=(const mint& v){val *= mint(v).pow(mod - 2).val;if (val > mod) val %= mod;return *this;}friend mint operator/(const mint& u, const mint& v){return mint(u) /= v;}friend bool operator==(const mint& u, const mint& v){return u.val == v.val;}friend bool operator!=(const mint& u, const mint& v){return u.val != v.val;}friend bool operator>(const mint& u, const mint& v){return u.val > v.val;}friend bool operator<(const mint& u, const mint& v){return u.val < v.val;}};using mint = modint;struct Binoms {public :Binoms(int n){fact = vc<mint>(1, 1);inv_fact = vc<mint>(1, 1);update(n);};void update(int n){if (sz >= n) return;fact.resize(n + 1, 1);inv_fact.resize(n + 1, 1);for (int i = sz; i < n; i++) fact[i + 1] = fact[i] * (i + 1);inv_fact[n] = 1 / fact[n];for (int i = n - 1; i >= sz + 1; i--) inv_fact[i] = inv_fact[i + 1] * (i + 1);sz = n;return;}mint C(int n, int k){if (sz < n) update(n);return fact[n] * inv_fact[n - k] * inv_fact[k];}mint fac(int n){if (sz < n) update(n);return fact[n];}private :int sz = 0;vc<mint> fact, inv_fact;};int main(){ll H, W, K; cin >> H >> W >> K;mint ret = 0;ll i = 1;Binoms B(1);while (i * i <= K){if (K % i == 0){ll p = i, q = K / i;if (p <= H && q <= W) ret += B.C(H, p) * B.C(W, q);if (q <= H && p <= W && p != q) ret += B.C(H, q) * B.C(W, p);}i++;}cout << ret.val << endl;}