結果

問題 No.2527 H and W
ユーザー akiaa11
提出日時 2023-11-03 22:08:59
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 115 ms / 2,000 ms
コード長 3,563 bytes
コンパイル時間 4,074 ms
コンパイル使用メモリ 250,848 KB
最終ジャッジ日時 2025-02-17 18:23:30
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
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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 #
プレゼンテーションモードにする

#include <bits/stdc++.h>
#include <atcoder/all>
#define SELECTER(_1,_2,_3,SELECT,...) SELECT
#define rep1(i,n) for(int i=0;i<(int)n;++i)
#define rep2(i,a,n) for(int i=(int)a;i<(int)n;++i)
#define rep(...) SELECTER(__VA_ARGS__,rep2,rep1)(__VA_ARGS__)
#define RSELECTER(_1, _2, _3, RSELECT, ...) RSELECT
#define rrep1(i,n) for(int i=(int)n-1;i>=0;--i)
#define rrep2(i,a,n) for(int i=(int)n-1;i>=(int)a;--i)
#define rrep(...) RSELECTER(__VA_ARGS__, rrep2, rrep1)(__VA_ARGS__)
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define fi first
#define se second
#define PrintR LogOutput
#ifdef _DEBUG
#define Log(...) LogOutput(__VA_ARGS__)
#else
#define Log(...)
#endif
using namespace std;
using namespace atcoder;
using ll=long long;
using ld=long double;
using pii=pair<int,int>;
using pll=pair<long long,long long>;
using pdd=pair<long double,long double>;
using tp=tuple<int,int,int>;
using tpll=tuple<ll,ll,ll>;
using veci=vector<int>;
using vecpii=vector<pair<int,int>>;
using vecll=vector<long long>;
using vecpll=vector<pair<long long,long long>>;
using vecpdd=vector<pair<long double,long double>>;
using vecs=vector<string>;
using vecb=vector<bool>;
using vecd=vector<long double>;
using vectp=vector<tp>;
using vectpll=vector<tpll>;
using mint=modint998244353;
using mint10=modint1000000007;
template<typename T, typename S>
istream& operator>>(istream& in, pair<T, S>& a){return in >> a.first >> a.second;}
template<typename T, typename S>
ostream& operator<<(ostream& out, const pair<T, S>& a){return out << a.first << ' ' << a.second;}
ostream& operator<<(ostream& out, const mint& a){return out << a.val();}
ostream& operator<<(ostream& out, const mint10& a){return out << a.val();}
ostream& operator<<(ostream& out, const modint& a){return out << a.val();}
template<typename T>
ostream& operator<<(ostream& out, const vector<T>& d){for(int i = 0 ; i < d.size() ; ++i) out << d[i] << (i == d.size() - 1 ? "" : " "); return out;}
template<typename T, typename S>
pair<T, S> operator+(const pair<T, S>& a, const pair<T, S>& b){return {a.fi + b.fi, a.se + b.se};}
template<typename T, typename S>
pair<T, S> operator-(const pair<T, S>& a, const pair<T, S>& b){return {a.fi - b.fi, a.se - b.se};}
template<class T> inline bool chmax(T& a,T b){if(a<b) {a=b;return true;} return false;}
template<class T> inline bool chmin(T& a,T b){if(a>b) {a=b;return true;} return false;}
bool Judge(int i, int j, int h, int w){return i < 0 || j < 0 || i >= h || j >= w;}
constexpr ll INF=numeric_limits<ll>::max() / 4;
constexpr ll MOD=998244353;
const int vi[] = {0, 1, 0, -1}, vj[] = {1, 0, -1, 0};
template<typename... Args>
void LogOutput(Args&&... args){
stringstream ss;
((ss << args << ' '), ...);
cout << ss.str().substr(0, ss.str().length() - 1) << endl;
}
template<typename T>
void LogOutput(vector<vector<T>>& data){for(auto d : data) LogOutput(d);}
constexpr int _MAX = 2001000;
mint fac[_MAX], inv[_MAX], finv[_MAX];
void init(){
const long long MOD = 998244353;
int n = _MAX;
fac[0] = fac[1] = finv[0] = finv[1] = inv[1] = 1;
for(int i = 2;i<n;++i){
fac[i] = fac[i-1] * i;
inv[i] = MOD - inv[MOD % i] * (MOD / i);
finv[i] = finv[i-1] * inv[i];
}
}
mint comb(int n, int k){
if(n < 0 || k < 0 || n < k) return 0;
return fac[n] * finv[k] * finv[n-k];
}
int main(){
ios::sync_with_stdio(false);
std::cin.tie(nullptr);
ll h, w, k;cin>>h>>w>>k;
init();
mint ans = 0;
rep(i, h + 1){
ll u = h * w - k - i * w;
if(u < 0) break;
if(u % (h - i) == 0) ans += comb(h, i) * comb(w, u / (h - i));
}
cout<<ans<<endl;
}
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