結果

問題 No.1960 Guruguru Permutation
ユーザー 👑 PCTprobabilityPCTprobability
提出日時 2022-03-05 12:55:07
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 10 ms / 2,000 ms
コード長 4,443 bytes
コンパイル時間 4,135 ms
コンパイル使用メモリ 267,692 KB
実行使用メモリ 9,424 KB
最終ジャッジ日時 2023-10-20 19:48:45
合計ジャッジ時間 5,915 ms
ジャッジサーバーID
(参考情報)
judge13 / judge11
このコードへのチャレンジ(β)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 7 ms
8,356 KB
testcase_01 AC 7 ms
8,356 KB
testcase_02 AC 6 ms
8,372 KB
testcase_03 AC 7 ms
8,356 KB
testcase_04 AC 8 ms
8,896 KB
testcase_05 AC 8 ms
9,160 KB
testcase_06 AC 8 ms
8,368 KB
testcase_07 AC 10 ms
9,424 KB
testcase_08 AC 8 ms
8,896 KB
testcase_09 AC 9 ms
9,424 KB
testcase_10 AC 8 ms
8,896 KB
testcase_11 AC 9 ms
9,160 KB
testcase_12 AC 7 ms
8,368 KB
testcase_13 AC 9 ms
9,160 KB
testcase_14 AC 8 ms
8,356 KB
testcase_15 AC 7 ms
8,632 KB
testcase_16 AC 8 ms
8,632 KB
testcase_17 AC 8 ms
8,632 KB
testcase_18 AC 9 ms
9,424 KB
testcase_19 AC 8 ms
9,424 KB
testcase_20 AC 10 ms
9,424 KB
testcase_21 AC 7 ms
8,356 KB
testcase_22 AC 9 ms
9,424 KB
testcase_23 AC 8 ms
9,424 KB
testcase_24 AC 8 ms
9,424 KB
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;
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
using mint = modint998244353;
#endif
using ll = long long;
using ld = long double;
using ull = unsigned long long;
#define endl "\n"
typedef pair<int,int> Pii;
#define REP(i, n) for (int i = 0; i < (n)a; ++i)
#define REP3(i, m, n) for (int i = (m); (i) < int(n); ++ (i))
#define FOR(i,a,b) for(ll i=a;i<=(ll)(b);i++)
#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(x) begin(x), end(x)
#define PB push_back
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(s) (s).begin(),(s).end()
#define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i)
#define drep(i, n) drep2(i, n, 0)
#define rever(vec) reverse(vec.begin(), vec.end())
#define sor(vec) sort(vec.begin(), vec.end())
#define fi first
#define se second
#define pb push_back
#define P pair<ll,ll>
#define PQminll priority_queue<ll, vector<ll>, greater<ll>>
#define PQmaxll priority_queue<ll,vector<ll>,less<ll>>
#define PQminP priority_queue<P, vector<P>, greater<P>>
#define PQmaxP priority_queue<P,vector<P>,less<P>>
#define NP next_permutation
//typedef string::const_iterator State;
//class ParseError {};
//const ll mod = 1000000009;
const ll mod = 998244353;
//const ll mod = 1000000007;
const ll inf = 4100000000000000000ll;
const ld eps = ld(0.000000001);
const long double pi = 3.141592653589793;
template<class T>void vcin(vector<T> &n){for(int i=0;i<int(n.size());i++) cin>>n[i];}
template<class T,class K>void vcin(vector<T> &n,vector<K> &m){for(int i=0;i<int(n.size());i++) cin>>n[i]>>m[i];}
template<class T>void vcout(vector<T> &n){for(int i=0;i<int(n.size());i++){cout<<n[i]<<" ";}cout<<endl;}
template<class T>void vcin(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cin>>n[i][j];}}}
template<class T>void vcout(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cout<<n[i][j]<<" ";}cout<<endl;}cout<<endl;}
void yes(bool a){cout<<(a?"yes":"no")<<endl;}
void YES(bool a){cout<<(a?"YES":"NO")<<endl;}
void Yes(bool a){cout<<(a?"Yes":"No")<<endl;}
void possible(bool a){ cout<<(a?"possible":"impossible")<<endl; }
void Possible(bool a){ cout<<(a?"Possible":"Impossible")<<endl; }
void POSSIBLE(bool a){ cout<<(a?"POSSIBLE":"IMPOSSIBLE")<<endl; }
template<class T>void print(T a){cout<<a<<endl;}
template<class T,class F>void print(pair<T,F> a){cout<<a.fi<<" "<<a.se<<endl;}
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0;}
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0;}
template<class T> void ifmin(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
template<class T> void ifmax(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
ll fastgcd(ll u,ll v){ll shl=0;while(u&&v&&u!=v){bool eu=!(u&1);bool ev=!(v&1);if(eu&&ev){++shl;u>>=1;v>>=1;}else if(eu&&!ev){u>>=1;}else if(!eu&&ev){v>>=1;}else if(u>=v){u=(u-v)>>1;}else{ll tmp=u;u=(v-u)>>1;v=tmp;}}return !u?v<<shl:u<<shl;}
ll modPow(ll a, ll n, ll mod) { if(mod==1) return 0;ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; }
vector<ll> divisor(ll x){ vector<ll> ans; for(ll i = 1; i * i <= x; i++){ if(x % i == 0) {ans.push_back(i); if(i*i!=x){ ans.push_back(x / ans[i]);}}}sor(ans); return ans; }
ll pop(ll x){return __builtin_popcountll(x);}
ll poplong(ll x){ll y=0;while(x){x/=2;y++;}return y;}

void cincout() {
  ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
  cout<< fixed << setprecision(20);
}
constexpr ll MAX = 200010;
ll fac[MAX],finv[MAX],inv[MAX];
void COMinit(){
  fac[0]=fac[1]=1;
  finv[0]=finv[1]=1;
  inv[1]=1;
  for(int i=2;i<MAX;i++){
    fac[i]=fac[i-1]*i%mod;
    inv[i]=mod-inv[mod%i]*(mod/i)%mod;
    finv[i]=finv[i-1]*inv[i]%mod;
  }
}
mint binom(ll n,ll k){
  if(n<k) return 0;
  if(n<0||k<0) return 0;
  return fac[n]*(finv[k]*finv[n-k]%mod)%mod;
}
int main(){
  COMinit();
  cincout();
  ll n,m,k;
  cin>>n>>m>>k;
  vector<ll> a(n);
  for(int i=0;i<m;i++) a[i]^=1;
  for(int i=n-k;i<n;i++) a[i]^=2;
  ll x=0,y=0,z=0;
  for(int i=0;i<n;i++){
    if(a[i]==1) x++;
    if(a[i]==0) y++;
    if(a[i]==2) z++;
  }
  mint ans=0;
  if(x>z) swap(x,z);
  for(int i=0;i<=x;i++){
    ans+=binom(x,i)*binom(z,i)*fac[i];
  }
  for(int i=0;i<y;i++) ans*=x+z+i+1;
  cout<<ans.val()<<endl;
}
0