結果

問題 No.1354 Sambo's Treasure
ユーザー kyoprounokyoprouno
提出日時 2021-01-19 23:09:53
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 122 ms / 2,000 ms
コード長 9,080 bytes
コンパイル時間 2,982 ms
コンパイル使用メモリ 236,400 KB
実行使用メモリ 23,912 KB
最終ジャッジ日時 2024-12-17 19:32:39
合計ジャッジ時間 7,897 ms
ジャッジサーバーID
(参考情報)
judge4 / judge1
このコードへのチャレンジ
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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 12 ms
10,952 KB
testcase_01 AC 11 ms
10,924 KB
testcase_02 AC 10 ms
11,080 KB
testcase_03 AC 11 ms
11,056 KB
testcase_04 AC 10 ms
11,088 KB
testcase_05 AC 10 ms
11,052 KB
testcase_06 AC 12 ms
11,064 KB
testcase_07 AC 10 ms
10,996 KB
testcase_08 AC 11 ms
11,120 KB
testcase_09 AC 10 ms
11,048 KB
testcase_10 AC 13 ms
11,032 KB
testcase_11 AC 10 ms
11,196 KB
testcase_12 AC 9 ms
11,080 KB
testcase_13 AC 10 ms
11,020 KB
testcase_14 AC 10 ms
11,064 KB
testcase_15 AC 11 ms
11,048 KB
testcase_16 AC 11 ms
11,048 KB
testcase_17 AC 10 ms
11,056 KB
testcase_18 AC 10 ms
11,012 KB
testcase_19 AC 10 ms
11,032 KB
testcase_20 AC 10 ms
11,020 KB
testcase_21 AC 11 ms
11,108 KB
testcase_22 AC 11 ms
11,076 KB
testcase_23 AC 115 ms
22,784 KB
testcase_24 AC 116 ms
22,528 KB
testcase_25 AC 122 ms
22,272 KB
testcase_26 AC 117 ms
22,912 KB
testcase_27 AC 115 ms
23,168 KB
testcase_28 AC 115 ms
22,400 KB
testcase_29 AC 119 ms
23,172 KB
testcase_30 AC 114 ms
22,656 KB
testcase_31 AC 116 ms
22,656 KB
testcase_32 AC 117 ms
22,532 KB
testcase_33 AC 117 ms
22,140 KB
testcase_34 AC 116 ms
23,912 KB
testcase_35 AC 119 ms
23,036 KB
testcase_36 AC 118 ms
23,040 KB
testcase_37 AC 118 ms
23,300 KB
testcase_38 AC 114 ms
22,788 KB
testcase_39 AC 117 ms
22,144 KB
testcase_40 AC 117 ms
22,020 KB
testcase_41 AC 115 ms
22,020 KB
testcase_42 AC 113 ms
23,168 KB
testcase_43 AC 14 ms
11,200 KB
testcase_44 AC 14 ms
11,080 KB
testcase_45 AC 13 ms
11,124 KB
testcase_46 AC 13 ms
11,152 KB
testcase_47 AC 14 ms
11,192 KB
testcase_48 AC 13 ms
11,108 KB
testcase_49 AC 11 ms
11,100 KB
testcase_50 AC 13 ms
11,188 KB
testcase_51 AC 13 ms
11,148 KB
testcase_52 AC 12 ms
11,176 KB
testcase_53 AC 12 ms
11,240 KB
testcase_54 AC 12 ms
11,060 KB
testcase_55 AC 12 ms
11,076 KB
testcase_56 AC 13 ms
10,992 KB
testcase_57 AC 12 ms
11,172 KB
testcase_58 AC 15 ms
11,060 KB
testcase_59 AC 12 ms
11,140 KB
testcase_60 AC 13 ms
11,076 KB
testcase_61 AC 13 ms
11,184 KB
testcase_62 AC 14 ms
11,096 KB
testcase_63 AC 113 ms
22,144 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 #

#pragma GCC optimize("O3")

#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#define _GLIBCXX_DEBUG
#endif

#pragma region Macros

#define FOR(i, l, r) for(int i = (l) ;i < (r) ;i++)
#define REP(i, n) FOR(i, 0, n)
#define REPS(i, n) FOR(i, 1, n+1)
#define RFOR(i, l, r) for(int i = (l) ; i >= (r) ; i--)
#define RREP(i, n) RFOR(i, n - 1, 0)
#define RREPS(i, n) RFOR(i, n , 1)
#define SZ(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
template <class T = int>
using V = vector<T>;
template <class T = int>
using VV = V<V<T>>;
template <class T = int>
using VVV = V<V<V<T>>>;
#define ll long long
using ld = long double;
#define pll pair<ll,ll>
#define pii pair<int,int>
#define pq priority_queue
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define endl '\n'
#define ios ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
#define lb(c,x) distance(c.begin(),lower_bound(all(c),x))
#define ub(c,x) distance(c.begin(),upper_bound(all(c),x))

#define VEC(type, name, size) \
	V<type> name(size);       \
	INPUT(name)
#define VVEC(type, name, h, w)    \
	VV<type> name(h, V<type>(w)); \
	INPUT(name)
#define INT(...)     \
	int __VA_ARGS__; \
	INPUT(__VA_ARGS__)
#define LL(...)     \
	ll __VA_ARGS__; \
	INPUT(__VA_ARGS__)
#define STR(...)        \
	string __VA_ARGS__; \
	INPUT(__VA_ARGS__)
#define CHAR(...)     \
	char __VA_ARGS__; \
	INPUT(__VA_ARGS__)
#define DOUBLE(...)     \
	double __VA_ARGS__; \
	INPUT(__VA_ARGS__)
#define LD(...)     \
	ld __VA_ARGS__; \
	INPUT(__VA_ARGS__)

void scan(int &a) { cin >> a;}
void scan(long long &a) { cin >> a;}
void scan(char &a) { cin >> a;}
void scan(double &a) { cin >> a;}
void scan(long double &a) { cin >> a;}
void scan(char a[]) { scanf("%s", a);}
void scan(string &a) { cin >> a;}
template <class T>
void scan(V<T> &);
template <class T, class L>
void scan(pair<T, L> &);
template <class T>
void scan(V<T> &a){
	for(auto &i : a) scan(i);
}
template <class T, class L>
void scan(pair<T, L> &p){
	scan(p.first);
	scan(p.second);
}
template <class T>
void scan(T &a) { cin >> a;}
void INPUT() {}
template <class Head, class... Tail>
void INPUT(Head &head, Tail &... tail){
	scan(head);
	INPUT(tail...);
}
template <class T>
inline void print(T x) { cout << x << '\n'; }
template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
	is >> p.first >> p.second;
	return is;
}
template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
	os << p.first << " " << p.second;
	return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
	for(T &in : v) is >> in;
	return is;
}
template <class T>
ostream &operator<<(ostream &os, const V<T> &v) {
	REP(i, SZ(v)) {
		if(i) os << " ";
		os << v[i];
	}
	return os;
}
//debug
template <typename T>
void view(const V<T> &v) {
	cerr << "{ ";
	for(const auto &e : v) {
		cerr << e << ", ";
	}
	cerr << "\b\b }";
}
template <typename T>
void view(const VV<T> &vv) {
	cerr << "{\n";
	for(const auto &v : vv) {
		cerr << "\t";
		view(v);
		cerr << "\n";
	}
	cerr << "}";
}
template <typename T, typename U>
void view(const V<pair<T, U>> &v) {
	cerr << "{\n";
	for(const auto &c : v) cerr << "\t(" << c.first << ", " << c.second << ")\n";
	cerr << "}";
}
template <typename T, typename U>
void view(const map<T, U> &m) {
	cerr << "{\n";
	for(auto &t : m) cerr << "\t[" << t.first << "] : " << t.second << "\n";
	cerr << "}";
}
template <typename T, typename U>
void view(const pair<T, U> &p) { cerr << "(" << p.first << ", " << p.second << ")"; }
template <typename T>
void view(const set<T> &s) {
	cerr << "{ ";
	for(auto &t : s) {
		view(t);
		cerr << ", ";
	}
	cerr << "\b\b }";
}
template <typename T>
void view(T e) { cerr << e; }
#ifdef LOCAL
void debug_out() {}
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
	view(H);
	cerr << ", ";
	debug_out(T...);
}
#define debug(...)                                           \
	do {                                                     \
		cerr << __LINE__ << " [" << #__VA_ARGS__ << "] : ["; \
		debug_out(__VA_ARGS__);                              \
		cerr << "\b\b]\n";                                   \
	} while(0)
#else
#define debug(...) (void(0))
#endif
template <class T>
V<T> press(V<T> &x) {
	V<T> res = x;
	sort(all(res));
	res.erase(unique(all(res)), res.end());
	REP(i, SZ(x)) {
		x[i] = lower_bound(all(res), x[i]) - res.begin();
	}
	return res;
}
template <class T>
inline bool chmin(T &a, T b) {
	if(a > b) {
		a = b;
		return true;
	}
	return false;
}
template <class T>
inline bool chmax(T &a, T b) {
	if(a < b) {
		a = b;
		return true;
	}
	return false;
}
inline void Yes(bool b = true) { cout << (b ? "Yes" : "No") << '\n'; }
inline void YES(bool b = true) { cout << (b ? "YES" : "NO") << '\n'; }
inline void err(bool b = true) {
	if(b) {
		cout << -1 << '\n';
		exit(0);
	}
}
template <class T>
inline void fin(bool b = true, T e = 0) {
	if(b) {
		cout << e << '\n';
		exit(0);
	}
}
template <class T>
T divup(T x, T y) { return (x + (y - 1)) / y; }
template <typename T>
T pow(T a, long long n, T e = 1) {
	T ret = e;
	while(n) {
		if(n & 1) ret *= a;
		a *= a;
		n >>= 1;
	}
	return ret;
}
struct iofast {
	iofast() {
		ios_base::sync_with_stdio(false);
		cin.tie(nullptr);
		cout << fixed << setprecision(15);
	}
} iofast_;
const int inf = 1e9;
const ll INF = 1e18;
#pragma endregion


inline int topbit(unsigned long long x){
	return x?63-__builtin_clzll(x):-1;
}

inline int popcount(unsigned long long x){
	return __builtin_popcountll(x);
}

inline int parity(unsigned long long x){//popcount%2
	return __builtin_parity(x);
}

const ll mod = 998244353;

struct mint {
  ll x; // typedef long long ll;
  mint(ll x=0):x((x%mod+mod)%mod){}
  mint operator-() const { return mint(-x);}
  mint& operator+=(const mint a) {
    if ((x += a.x) >= mod) x -= mod;
    return *this;
  }
  mint& operator-=(const mint a) {
    if ((x += mod-a.x) >= mod) x -= mod;
    return *this;
  }
  mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;}
  mint operator+(const mint a) const { return mint(*this) += a;}
  mint operator-(const mint a) const { return mint(*this) -= a;}
  mint operator*(const mint a) const { return mint(*this) *= a;}
  mint pow(ll t) const {
    if (!t) return 1;
    mint a = pow(t>>1);
    a *= a;
    if (t&1) a *= *this;
    return a;
  }
 
  // for prime mod
  mint inv() const { return pow(mod-2);}
  mint& operator/=(const mint a) { return *this *= a.inv();}
  mint operator/(const mint a) const { return mint(*this) /= a;}
};
istream& operator>>(istream& is, mint& a) { return is >> a.x;}
ostream& operator<<(ostream& os, const mint& a) { return os << a.x;}
// combination mod prime
// https://www.youtube.com/watch?v=8uowVvQ_-Mo&feature=youtu.be&t=1619
struct combination {
  vector<mint> fact, ifact;
  combination(ll n):fact(n+1),ifact(n+1) {
    assert(n < mod);
    fact[0] = 1;
    for (ll i = 1; i <= n; ++i) fact[i] = fact[i-1]*i;
    ifact[n] = fact[n].inv();
    for (ll i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i;
  }
  mint operator()(ll n, ll k) {
    if (k < 0 || k > n) return 0;
    return fact[n]*ifact[k]*ifact[n-k];
  }
  mint p(ll n, ll k) {
    return fact[n]*ifact[n-k];
  }
} c(500005);

int main(){
    ios;
	LL(N,M,L,K);
	V<pair<pll,ll>> p(M);
	map<pll,ll> m;
	REP(i,M){
	    cin >> p[i].fi.fi >> p[i].fi.se;
	    p[i].se=0;
	    m[p[i].fi]=0;
	}
	REP(i,L){
	    pair<pll,ll> x;
	    cin >> x.fi.fi >> x.fi.se;
	    if(m.count(x.fi)){
	        m[x.fi]=1;
	    }
	    else{
	        x.se=-1;
	        p.push_back(x);
	    }
	}
	pair<pll,ll> st,gl;
	st.fi.fi=0,st.fi.se=0,st.se=0;
	gl.fi.fi=N,gl.fi.se=N,gl.se=0;
	p.push_back(st);
	p.push_back(gl);
	sort(all(p));
	ll ind=0;
	ll cnt=0;
	V<mint> dp(L+1),nxt(L+1);
	ll Q=p.size();
	REP(i,Q){
	    if(i==0){
	        continue;
	    }
	    if(p[i].se==-1) cnt++;
	    else{
	        cnt++;
	        if(m[p[i].fi]==1) K--;
	        VV<mint> d(cnt+1,V<mint>(cnt+1));
	        d[0][0]=1;
	        REP(j,cnt){
	            mint sum=0;
	            for(ll q=j;q>=0;q--){
	                REP(k,j+1){
	                    ll dr=p[ind+j+1].fi.fi-p[ind+k].fi.fi;
	                    ll dc=p[ind+j+1].fi.se-p[ind+k].fi.se;
	                    
	                    if(dr>=0 && dc>=0) d[j+1][q+1]+=d[k][q]*c(dr+dc,dc);
	                    //cout << j+1 << " " << q+1 << " " << d[j+1][q+1] << endl;
	                }
	                d[j+1][q+1]-=sum;
	                sum+=d[j+1][q+1];
	            }
	        }
	        
	        if(ind==0){
	            for(ll j=1;j<=cnt;j++){
	                dp[j-1]=d[cnt][j];
	            }
	        }
	        else{
	            for(ll j=1;j<=cnt;j++){
	                REP(k,L+1){
	                    if(k-j+1>=0) nxt[k]+=dp[k-(j-1)]*d[cnt][j];
	                }
	            }
	            dp=nxt;
	            nxt=V<mint>(L+1);
	        }
	        cnt=0;
	        ind=i;
	    }
	}
	mint ans=0;
	REP(i,L+1){
	    if(i<=K) ans+=dp[i];
	}
	cout << ans << endl;
    return 0;
}
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