結果
問題 |
No.2215 Slide Subset Sum
|
ユーザー |
|
提出日時 | 2025-10-05 08:52:44 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 791 ms / 3,000 ms |
コード長 | 5,284 bytes |
コンパイル時間 | 7,032 ms |
コンパイル使用メモリ | 204,864 KB |
実行使用メモリ | 326,640 KB |
最終ジャッジ日時 | 2025-10-05 08:53:18 |
合計ジャッジ時間 | 30,626 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | AC * 45 |
ソースコード
#include <bits/stdc++.h> using namespace std; //入力が必ず-mod<=a<modの時. template<const int mod> //mod<2^30. struct modint{ //mod変更が不可能. public: long long v; static void setmod(int m){} //飾り. static constexpr long long getmod(){return mod;} modint():v(0){} template<typename T> modint(T a):v(a){if(v < 0) v += mod;} long long val()const{return v;} modint &operator=(const modint &b) = default; modint &operator+()const{return (*this);} modint operator-()const{return modint(0)-(*this);} modint operator+(const modint b)const{return modint(v)+=b;} modint operator-(const modint b)const{return modint(v)-=b;} modint operator*(const modint b)const{return modint(v)*=b;} modint operator/(const modint b)const{return modint(v)/=b;} modint &operator+=(const modint b){ v += b.v; if(v >= mod) v -= mod; return *this; } modint &operator-=(const modint b){ v -= b.v; if(v < 0) v += mod; return *this; } modint &operator*=(const modint b){v = v*b.v%mod; return *this;} modint &operator/=(modint b){ //b!=0 mod素数が必須. assert(b.v != 0); (*this) *= b.pow(mod-2); return *this; } modint pow(long long n)const{ modint ret = 1,p = v; if(n < 0) p = p.inv(),n = -n; while(n){ if(n&1) ret *= p; p *= p; n >>= 1; } return ret; } modint inv()const{return pow(mod-2);} //素数mod必須. modint &operator++(){*this += 1; return *this;} modint &operator--(){*this -= 1; return *this;} modint operator++(int){modint ret = *this; *this += 1; return ret;} modint operator--(int){modint ret = *this; *this -= 1; return ret;} friend bool operator==(const modint a,const modint b){return a.v==b.v;} friend bool operator!=(const modint a,const modint b){return a.v!=b.v;} friend bool operator<(const modint a,const modint b){return a.v<b.v;} friend bool operator<=(const modint a,const modint b){return a.v<=b.v;} friend bool operator>=(const modint a,const modint b){return a.v>=b.v;} friend bool operator>(const modint a,const modint b){return a.v>b.v;} friend ostream &operator<<(ostream &os,const modint a){return os<<a.v;} friend istream &operator>>(istream &is,modint &a){ //入力はmodをとってくれる. long long x; is >> x; x %= mod; a = modint(x); return is; } }; using mint = modint<998244353>; const long long mod = 998244353; int K; struct SS{mint x,v[100];}E; class SWAG{ //[Li,Ri),モノイド,Li<=Li+1,Ri<=Ri+1ならOK. private: int L,R; stack<pair<SS,SS>> Front,Back; //frontには(1,op123),(2,op23),(3,op3)] back[(1,op1),(2,op12),(3,op123). SS op(SS a, SS b){ SS ret = E; ret.v[0] = 0; int ca = 0,cb = 0; for(int i=0; i<K; i++) ca += a.v[i]!=0,cb += b.v[i]!=0; if(ca <= cb){ for(int i=0; i<K; i++) if(a.v[i] != 0){ for(int k=0; k<K; k++) if(b.v[k] != 0) ret.v[(i+k)%K] += a.v[i]*b.v[k]; } } else{ for(int i=0; i<K; i++) if(b.v[i] != 0){ for(int k=0; k<K; k++) if(a.v[k] != 0) ret.v[(i+k)%K] += b.v[i]*a.v[k]; } } return ret; } //ここの計算量が全てにかかる. SS e(){return E;} public: SWAG():L(0),R(0){} void push(const SS &x){ //O(1). R++; if(Back.size()) Back.emplace(pair{x,op(Back.top().second,x)}); else Back.emplace(pair{x,x}); } void pop(){ //ならしO(1) 全体でO(n). L++; if(Front.size()){Front.pop(); return;} assert(Back.size()); //要素数0. while(Back.size() > 1){//popする際backを"全て"frontに移動. SS x = Back.top().first; Back.pop(); if(Front.size()) Front.emplace(pair{x,op(x,Front.top().second)}); else Front.emplace(pair{x,x}); } Back.pop(); } SS val(){ //Front先頭second,Back先頭secondの2要素をマージするだけ O(1). if(Front.size() && Back.size()) return op(Front.top().second,Back.top().second); else if(Front.size()) return Front.top().second; else if(Back.size()) return Back.top().second; return e(); } mint query(){ if(Front.size() && Back.size()){ mint ret = 0; ret += Front.top().second.v[0]*Back.top().second.v[0]; for(int i=1; i<K; i++) ret += Front.top().second.v[i]*Back.top().second.v[K-i]; return ret; } else if(Front.size()) return Front.top().second.v[0]; else if(Back.size()) return Back.top().second.v[0]; return 0; } pair<int,int> LR(){return {L,R};} //現在のLR確認. }; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); for(int i=0; i<100; i++) E.v[i] = 0; E.x = 0,E.v[0] = 1; int N,M; cin >> N >> M >> K; SWAG Q; for(int i=0; i<M-1; i++){ int a; cin >> a; SS s = E; s.x = a,s.v[a]++; Q.push(s); } for(int i=M-1; i<N; i++){ int a; cin >> a; SS s = E; s.x = a,s.v[a]++; Q.push(s); cout << Q.query()-1 << "\n",Q.pop(); } }