結果
問題 | No.2327 Inversion Sum |
ユーザー |
|
提出日時 | 2023-05-28 14:14:24 |
言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 25 ms / 2,000 ms |
コード長 | 6,537 bytes |
コンパイル時間 | 6,213 ms |
コンパイル使用メモリ | 324,656 KB |
実行使用メモリ | 5,620 KB |
最終ジャッジ日時 | 2024-12-27 00:07:07 |
合計ジャッジ時間 | 7,444 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge5 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 30 |
ソースコード
#include <bits/stdc++.h>using namespace std;#include <atcoder/all>using namespace atcoder;//高速化struct ponjuice{ponjuice(){cin.tie(0);ios::sync_with_stdio(0);cout<<fixed<<setprecision(20);}}PonJuice;//#define endl '\n' //インタラクティブ問題の時は消す//型using ll = long long;using ld = long double;using mint = modint998244353;//1000000007;template<class T>using vc = vector<T>; template<class T>using vvc = vc<vc<T>>; template<class T>using vvvc = vvc<vc<T>>;using vi = vc<int>; using vvi = vvc<int>; using vvvi = vvvc<int>;using vl = vc<ll>; using vvl = vvc<ll>; using vvvl = vvvc<ll>;using pi = pair<int, int>; using pl = pair<ll, ll>;using ull = unsigned ll;template<class T>using priq = priority_queue<T>;template<class T>using priqg = priority_queue<T, vc<T>, greater<T>>;// for文#define overload4(a, b, c, d, e, ...) e#define rep1(n) for(ll i = 0; i < n; i++)#define rep2(i, n) for(ll i = 0; i < n; i++)#define rep3(i, a, b) for(ll i = a; i < b; i++)#define rep4(i, a, b, step) for(ll i = a; i < b; i+= step)#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)#define per1(n) for(ll i = n-1; i >= 0; i--)#define per2(i, n) for(ll i = n-1; i >= 0; i--)#define per3(i, a, b) for(ll i = b-1; i >= a; i--)#define per4(i, a, b, step) for(ll i = b-1; i >= a; i-= step)#define per(...) overload4(__VA_ARGS__, per4, per3, per2, per1)(__VA_ARGS__)#define fore1(a) for(auto&& i : a)#define fore2(i,a) for(auto&& i : a)#define fore3(x,y,a) for(auto&& [x, y] : a)#define fore4(x,y,z,a) for(auto&& [x, y, z] : a)#define fore(...) overload4(__VA_ARGS__, fore4, fore3, fore2, fore1)(__VA_ARGS__)//関数#define mp make_pair#define mt make_tuple#define a first#define b second#define pb emplace_back#define all(x) (x).begin(), (x).end()#define rall(x) (x).rbegin(), (x).rend()#define si(x) (ll)(x).size()template<class S, class T>inline bool chmax(S& a, T b){return a < b && ( a = b , true);}template<class S, class T>inline bool chmin(S& a, T b){return a > b && ( a = b , true);}template<class T>void uniq(vc<T>&a){sort(all(a));a.erase(unique(all(a)),a.end());}template<class T>vc<T> operator++(vc<T>&v,signed){auto res = v;fore(e,v)e++;return res;}template<class T>vc<T> operator--(vc<T>&v,signed){auto res = v;fore(e,v)e--;return res;}template<class T>vc<T> operator++(vc<T>&v){fore(e,v)e++;return v;}template<class T>vc<T> operator--(vc<T>&v){fore(e,v)e--;return v;}//入出力(operator)template<int T>istream&operator>>(istream&is,static_modint<T>&a){ll v;is>>v;a=v;return is;}istream&operator>>(istream&is,modint&a){ll v;cin>>v;a=v;return is;}template<class S,class T>istream&operator>>(istream&is,pair<S,T>&a){is>>a.a>>a.b;return is;}template<class T>istream&operator>>(istream&is,vc<T>&a){fore(e,a)is>>e;return is;}template<int T>ostream&operator<<(ostream&os,static_modint<T>a){return os<<a.val();}ostream&operator<<(ostream&os,modint a){return os<<a.val();}template<class S,class T>ostream&operator<<(ostream&os,pair<S,T>&a){return os<<a.a<<" "<<a.b;}template<class T>ostream&operator<<(ostream&os,set<T>&a){fore(it,a){os<<it<<" ";}return os;}template<class T>ostream&operator<<(ostream&os,multiset<T>&a){fore(it,a){os<<it<<" ";}return os;}template<class S,class T>ostream&operator<<(ostream&os,map<S,T>&a){fore(x,y,a){os<<x<<" "<<y<<"\n";}return os;}template<class T>ostream&operator<<(ostream&os,unordered_set<T>&a){fore(it,a){os<<it<<" ";}return os;}template<class S,class T>ostream&operator<<(ostream&os,unordered_map<S,T>&a){fore(x,y,a){os<<x<<" "<<y<<"\n";}return os;}template<class T>ostream&operator<<(ostream&os,vc<T>&a){fore(e,a)os<<e<<" ";return os;}template<class T>ostream&operator<<(ostream&os,vvc<T>&a){fore(e,a)os<<e<<"\n";return os;}//入出力(関数)vi readvi(ll n){vi a(n);cin>>a;return a;}vl readvl(ll n){vl a(n);cin>>a;return a;}vvi readg(ll n,ll m,bool bidirected=true){vvi g(n);rep(i,m){ll a,b;cin>>a>>b;a--;b--;g[a].pb(b);if(bidirected)g[b].pb(a);}return g;}vvc<pi>readgc(ll n,ll m,bool bidirected=true){vvc<pi> g(n);rep(i,m){ll a,b,c;cin>>a>>b>>c;a--;b--;g[a].pb(b,c);if(bidirected)g[b].pb(a,c);}return g;}vvi readt(ll n,bool bidirected=true){return readg(n,n-1,bidirected);}vvc<pi> readtc(ll n,bool bidirected=true){return readgc(n,n-1,bidirected);}inline void yes(){cout << "Yes\n";}inline void no(){cout << "No\n";}inline void yesno(bool y = true){if(y)yes();else no();}inline void print(){cout<<endl;}template<class T>inline void print(T a){cout<<a<<endl;}template<class T,class... Ts>inline void print(T a,Ts ...b){cout<<a;(cout<<...<<(cout<<' ',b));cout<<endl;}//定数constexpr ll mod = 998244353;constexpr ll minf=-(1<<29);constexpr ll inf=(1<<29);constexpr ll MINF=-(1LL<<60);constexpr ll INF=(1LL<<60);constexpr ld EPS = 1e-8;const ld PI = acosl(-1);#define equals(a, b) (abs((a) - (b)) < EPS)const int dx[4] ={-1, 0, 1, 0};const int dy[4] ={ 0, 1, 0,-1};const int dx8[8] ={-1,-1,-1, 0, 1, 1, 1, 0};const int dy8[8] ={-1, 0, 1, 1, 1, 0,-1,-1};void solve();int main() {int t = 1;// cin >>t;while(t--)solve();}template<typename T>class BIT{private:int n;vector<T>d;public:BIT(int n=0):n(n),d(n+1){}void add(int i,T x=1){for(;i<=n;i+=i&-i){d[i]+=x;}}T sum(inti){T x=0;for(;i;i-=i&-i){x+=d[i];}return x;}};long long invcnt(const vector<long long>& v){auto u=v;sort(u.begin(),u.end());u.erase(unique(u.begin(),u.end()),u.end());auto bit=BIT<ll>(u.size());ll res=0;for(int i=0;i<v.size();i++){int rank=lower_bound(u.begin(),u.end(),v[i])-u.begin()+1;res+=i-bit.sum(rank);bit.add(rank);}return res;}void solve(){int n,m;cin >> n>> m;vi use(n);vi a(n,-1);rep(i,m){int p,k;cin>>p>>k;p--,k--;use[p]++;a[k] = p;}vl k;vc<mint>fac(n+1);fac[0] =1;rep(i,n){fac[i+1] = fac[i] * (i+1);}rep(i,si(a)){if(a[i] != -1){k.emplace_back(a[i]);}}mint ans = invcnt(k) * fac[n-m];ans += fac[n-m]*(n-m)*(n-m-1)/4;vl cnt(n,0);int cn = 0;per(i,n){if(a[i] == -1)cn++;else{cnt[a[i]] = cn;}}cn = 0;if(n-m>0){rep(i,n){if(use[i] == 0){cn++;}else{ans += fac[n-m-1] * cn * cnt[i];ans += fac[n-m-1] * (n-m-cn) * (n-m- cnt[i]);}}}print(ans);}