結果

問題 No.1960 Guruguru Permutation
ユーザー sigma425
提出日時 2022-05-27 23:07:17
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 12 ms / 2,000 ms
コード長 5,495 bytes
コンパイル時間 2,108 ms
コンパイル使用メモリ 198,980 KB
最終ジャッジ日時 2025-01-29 16:17:14
ジャッジサーバーID
(参考情報)
judge3 / judge1
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 * 22
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>
using namespace std;
using ll = long long;
using uint = unsigned int;
using ull = unsigned long long;
#define rep(i,n) for(int i=0;i<int(n);i++)
#define rep1(i,n) for(int i=1;i<=int(n);i++)
#define per(i,n) for(int i=int(n)-1;i>=0;i--)
#define per1(i,n) for(int i=int(n);i>0;i--)
#define all(c) c.begin(),c.end()
#define si(x) int(x.size())
#define pb push_back
#define eb emplace_back
#define fs first
#define sc second
template<class T> using V = vector<T>;
template<class T> using VV = vector<vector<T>>;
template<class T,class U> bool chmax(T& x, U y){
if(x<y){ x=y; return true; }
return false;
}
template<class T,class U> bool chmin(T& x, U y){
if(y<x){ x=y; return true; }
return false;
}
template<class T> void mkuni(V<T>& v){sort(all(v));v.erase(unique(all(v)),v.end());}
template<class T> int lwb(const V<T>& v, const T& a){return lower_bound(all(v),a) - v.begin();}
template<class T>
V<T> Vec(size_t a) {
return V<T>(a);
}
template<class T, class... Ts>
auto Vec(size_t a, Ts... ts) {
return V<decltype(Vec<T>(ts...))>(a, Vec<T>(ts...));
}
template<class S,class T> ostream& operator<<(ostream& o,const pair<S,T> &p){
return o<<"("<<p.fs<<","<<p.sc<<")";
}
template<class T> ostream& operator<<(ostream& o,const vector<T> &vc){
o<<"{";
for(const T& v:vc) o<<v<<",";
o<<"}";
return o;
}
constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n-1); }
#ifdef LOCAL
#define show(x) cerr << "LINE" << __LINE__ << " : " << #x << " = " << (x) << endl
void dmpr(ostream& os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
os<<t<<" ~ ";
dmpr(os,args...);
}
#define shows(...) cerr << "LINE" << __LINE__ << " : ";dmpr(cerr,##__VA_ARGS__)
#define dump(x) cerr << "LINE" << __LINE__ << " : " << #x << " = {"; \
for(auto v: x) cerr << v << ","; cerr << "}" << endl;
#else
#define show(x) void(0)
#define dump(x) void(0)
#define shows(...) void(0)
#endif
template<class D> D divFloor(D a, D b){
return a / b - (((a ^ b) < 0 && a % b != 0) ? 1 : 0);
}
template<class D> D divCeil(D a, D b) {
return a / b + (((a ^ b) > 0 && a % b != 0) ? 1 : 0);
}
template<unsigned int mod_>
struct ModInt{
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
constexpr static uint mod = mod_;
uint v;
ModInt():v(0){}
ModInt(ll _v):v(normS(_v%mod+mod)){}
explicit operator bool() const {return v!=0;}
static uint normS(const uint &x){return (x<mod)?x:x-mod;} // [0 , 2*mod-1] -> [0 , mod-1]
static ModInt make(const uint &x){ModInt m; m.v=x; return m;}
ModInt operator+(const ModInt& b) const { return make(normS(v+b.v));}
ModInt operator-(const ModInt& b) const { return make(normS(v+mod-b.v));}
ModInt operator-() const { return make(normS(mod-v)); }
ModInt operator*(const ModInt& b) const { return make((ull)v*b.v%mod);}
ModInt operator/(const ModInt& b) const { return *this*b.inv();}
ModInt& operator+=(const ModInt& b){ return *this=*this+b;}
ModInt& operator-=(const ModInt& b){ return *this=*this-b;}
ModInt& operator*=(const ModInt& b){ return *this=*this*b;}
ModInt& operator/=(const ModInt& b){ return *this=*this/b;}
ModInt& operator++(int){ return *this=*this+1;}
ModInt& operator--(int){ return *this=*this-1;}
template<class T> friend ModInt operator+(T a, const ModInt& b){ return (ModInt(a) += b);}
template<class T> friend ModInt operator-(T a, const ModInt& b){ return (ModInt(a) -= b);}
template<class T> friend ModInt operator*(T a, const ModInt& b){ return (ModInt(a) *= b);}
template<class T> friend ModInt operator/(T a, const ModInt& b){ return (ModInt(a) /= b);}
ModInt pow(ll p) const {
if(p<0) return inv().pow(-p);
ModInt a = 1;
ModInt x = *this;
while(p){
if(p&1) a *= x;
x *= x;
p >>= 1;
}
return a;
}
ModInt inv() const { // should be prime
return pow(mod-2);
}
// ll extgcd(ll a,ll b,ll &x,ll &y) const{
// ll p[]={a,1,0},q[]={b,0,1};
// while(*q){
// ll t=*p/ *q;
// rep(i,3) swap(p[i]-=t*q[i],q[i]);
// }
// if(p[0]<0) rep(i,3) p[i]=-p[i];
// x=p[1],y=p[2];
// return p[0];
// }
// ModInt inv() const {
// ll x,y;
// extgcd(v,mod,x,y);
// return make(normS(x+mod));
// }
bool operator==(const ModInt& b) const { return v==b.v;}
bool operator!=(const ModInt& b) const { return v!=b.v;}
bool operator<(const ModInt& b) const { return v<b.v;}
friend istream& operator>>(istream &o,ModInt& x){
ll tmp;
o>>tmp;
x=ModInt(tmp);
return o;
}
friend ostream& operator<<(ostream &o,const ModInt& x){ return o<<x.v;}
};
using mint = ModInt<998244353>;
//using mint = ModInt<1000000007>;
V<mint> fact,ifact,invs;
mint Choose(int a,int b){
if(b<0 || a<b) return 0;
return fact[a] * ifact[b] * ifact[a-b];
}
void InitFact(int N){ //[0,N]
N++;
fact.resize(N);
ifact.resize(N);
invs.resize(N);
fact[0] = 1;
rep1(i,N-1) fact[i] = fact[i-1] * i;
ifact[N-1] = fact[N-1].inv();
for(int i=N-2;i>=0;i--) ifact[i] = ifact[i+1] * (i+1);
rep1(i,N-1) invs[i] = fact[i-1] * ifact[i];
}
mint solve(int N,int L,int R){
if(L+R > N){
int M = L+R-N;
return solve(L+R-M-M,L-M,R-M);
}
if(L < R) swap(L,R);
mint res = 0;
rep(k,R+1){
res += Choose(L,k) * Choose(R,k) * fact[k];
}
for(int i=L+R+1;i<=N;i++) res *= i;
return res;
}
int main(){
cin.tie(0);
ios::sync_with_stdio(false); //DON'T USE scanf/printf/puts !!
cout << fixed << setprecision(20);
InitFact(400000);
int N,L,R; cin >> N >> L >> R;
cout << solve(N,L,R) << endl;
show(brute(N,L,R));
}
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