結果

問題 No.1043 直列大学
ユーザー ningenMeningenMe
提出日時 2020-05-01 21:57:11
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 34 ms / 2,000 ms
コード長 7,330 bytes
コンパイル時間 2,031 ms
コンパイル使用メモリ 213,680 KB
実行使用メモリ 23,344 KB
最終ジャッジ日時 2024-06-02 02:49:47
合計ジャッジ時間 3,634 ms
ジャッジサーバーID
(参考情報)
judge4 / judge2
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 13 ms
23,304 KB
testcase_01 AC 12 ms
23,176 KB
testcase_02 AC 15 ms
23,240 KB
testcase_03 AC 13 ms
23,336 KB
testcase_04 AC 13 ms
23,172 KB
testcase_05 AC 13 ms
23,172 KB
testcase_06 AC 15 ms
23,340 KB
testcase_07 AC 14 ms
23,176 KB
testcase_08 AC 14 ms
23,244 KB
testcase_09 AC 25 ms
23,340 KB
testcase_10 AC 28 ms
23,284 KB
testcase_11 AC 34 ms
23,184 KB
testcase_12 AC 33 ms
23,292 KB
testcase_13 AC 31 ms
23,196 KB
testcase_14 AC 30 ms
23,324 KB
testcase_15 AC 33 ms
23,240 KB
testcase_16 AC 30 ms
23,224 KB
testcase_17 AC 28 ms
23,344 KB
testcase_18 AC 28 ms
23,344 KB
testcase_19 AC 30 ms
23,200 KB
testcase_20 AC 25 ms
23,300 KB
testcase_21 AC 27 ms
23,168 KB
testcase_22 AC 30 ms
23,312 KB
testcase_23 AC 31 ms
23,340 KB
testcase_24 AC 28 ms
23,196 KB
testcase_25 AC 30 ms
23,176 KB
testcase_26 AC 30 ms
23,180 KB
testcase_27 AC 21 ms
23,244 KB
testcase_28 AC 31 ms
23,228 KB
testcase_29 AC 19 ms
23,340 KB
testcase_30 AC 28 ms
23,200 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;
using ll = long long;

#define ALL(obj) (obj).begin(),(obj).end()
#define SPEED cin.tie(0);ios::sync_with_stdio(false);

template<class T> using PQ = priority_queue<T>;
template<class T> using PQR = priority_queue<T,vector<T>,greater<T>>;

constexpr long long MOD = (long long)1e9 + 7;
constexpr long long MOD2 = 998244353;
constexpr long long HIGHINF = (long long)1e18;
constexpr long long LOWINF = (long long)1e15;
constexpr long double PI = 3.1415926535897932384626433L;

template <class T> vector<T> multivector(size_t N,T init){return vector<T>(N,init);}
template <class... T> auto multivector(size_t N,T... t){return vector<decltype(multivector(t...))>(N,multivector(t...));}
template <class T> void corner(bool flg, T hoge) {if (flg) {cout << hoge << endl; exit(0);}}
template <class T, class U>ostream &operator<<(ostream &o, const map<T, U>&obj) {o << "{"; for (auto &x : obj) o << " {" << x.first << " : " << x.second << "}" << ","; o << " }"; return o;}
template <class T>ostream &operator<<(ostream &o, const set<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
template <class T>ostream &operator<<(ostream &o, const multiset<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
template <class T>ostream &operator<<(ostream &o, const vector<T>&obj) {o << "{"; for (int i = 0; i < (int)obj.size(); ++i)o << (i > 0 ? ", " : "") << obj[i]; o << "}"; return o;}
template <class T, class U>ostream &operator<<(ostream &o, const pair<T, U>&obj) {o << "{" << obj.first << ", " << obj.second << "}"; return o;}
template <template <class tmp>  class T, class U> ostream &operator<<(ostream &o, const T<U> &obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr)o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
void print(void) {cout << endl;}
template <class Head> void print(Head&& head) {cout << head;print();}
template <class Head, class... Tail> void print(Head&& head, Tail&&... tail) {cout << head << " ";print(forward<Tail>(tail)...);}
template <class T> void chmax(T& a, const T b){a=max(a,b);}
template <class T> void chmin(T& a, const T b){a=min(a,b);}
void YN(bool flg) {cout << (flg ? "YES" : "NO") << endl;}
void Yn(bool flg) {cout << (flg ? "Yes" : "No") << endl;}
void yn(bool flg) {cout << (flg ? "yes" : "no") << endl;}


template<long long mod> class ModInt {
public:
	long long x;
	constexpr ModInt():x(0) {
		// do nothing
	}
	constexpr ModInt(long long y) : x(y>=0?(y%mod): (mod - (-y)%mod)%mod) {
		// do nothing
	}
	ModInt &operator+=(const ModInt &p) {
		if((x += p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator+=(const long long y) {
		ModInt p(y);
		if((x += p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator+=(const int y) {
		ModInt p(y);
		if((x += p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator-=(const ModInt &p) {
		if((x += mod - p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator-=(const long long y) {
		ModInt p(y);
		if((x += mod - p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator-=(const int y) {
		ModInt p(y);
		if((x += mod - p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator*=(const ModInt &p) {
		x = (x * p.x % mod);
		return *this;
	}
	ModInt &operator*=(const long long y) {
		ModInt p(y);
		x = (x * p.x % mod);
		return *this;
	}
	ModInt &operator*=(const int y) {
		ModInt p(y);
		x = (x * p.x % mod);
		return *this;
	}
	ModInt &operator/=(const ModInt &p) {
		*this *= p.inv();
		return *this;
	}
	ModInt &operator/=(const long long y) {
		ModInt p(y);
		*this *= p.inv();
		return *this;
	}
	ModInt &operator/=(const int y) {
		ModInt p(y);
		*this *= p.inv();
		return *this;
	}
	ModInt operator=(const int y) {
		ModInt p(y);
		*this = p;
		return *this;
	}
	ModInt operator=(const long long y) {
		ModInt p(y);
		*this = p;
		return *this;
	}
	ModInt operator-() const { return ModInt(-x); }
	ModInt operator++() { 
		x++;
		if(x>=mod) x-=mod;
		return *this; 
	}
	ModInt operator--() { 
		x--;
		if(x<0) x+=mod;
		return *this; 
	}
	ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
	ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
	ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
	ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
	bool operator==(const ModInt &p) const { return x == p.x; }
	bool operator!=(const ModInt &p) const { return x != p.x; }
	ModInt inv() const {
		int a = x, b = mod, u = 1, v = 0, t;
		while(b > 0) {
			t = a / b;
			swap(a -= t * b, b);
			swap(u -= t * v, v);
		}
		return ModInt(u);
	}
	ModInt pow(long long n) const {
		ModInt ret(1), mul(x);
		while(n > 0) {
			if(n & 1) ret *= mul;
			mul *= mul;
			n >>= 1;
		}
		return ret;
	}
	friend ostream &operator<<(ostream &os, const ModInt &p) {
		return os << p.x;
	}
	friend istream &operator>>(istream &is, ModInt &a) {
		long long t;
		is >> t;
		a = ModInt<mod>(t);
		return (is);
	}
};
using modint = ModInt<MOD>;

template<class Operator> class DisjointSparseTable{
public:
	using TypeNode = typename Operator::TypeNode;
	size_t depth;
	size_t length;
	vector<TypeNode> node;
	vector<size_t> msb;

	DisjointSparseTable(const vector<TypeNode>& vec) {
		for(depth = 0;(1<<depth)<=vec.size();++depth);
		length = (1<<depth);
		
		//msb
		msb.resize(length,0);
		for(int i = 0; i < length; ++i) for(int j = 0; j < depth; ++j) if(i>>j) msb[i] = j;

		//init value
		node.resize(depth*length,Operator::unit_node);
		for(int i = 0; i < vec.size(); ++i) node[i] = vec[i];

		for(int i = 1; i < depth; ++i) {
			for(int r = (1<<i),l = r-1; r < length; r += (2<<i),l = r-1){
				//init accumulate
				node[i*length+l] = node[l];
				node[i*length+r] = node[r];
				//accumulate
				for(int k = 1; k < (1<<i); ++k) {
					node[i*length+l-k] = Operator::func_node(node[i*length+l-k+1],node[l-k]);
					node[i*length+r+k] = Operator::func_node(node[i*length+r+k-1],node[r+k]);
				}
			}
		}
	}

	//[l,r)
	TypeNode get(int l,int r) {
		r--;
		return (l>r||l<0||length<=r) ? Operator::unit_node: (l==r ? node[l] : Operator::func_node(node[msb[l^r]*length+l],node[msb[l^r]*length+r]));
	}
};

//sum
template<class T> struct NodeSum {
	using TypeNode = T;
	inline static constexpr TypeNode unit_node = 0;
	inline static constexpr TypeNode func_node(TypeNode l,TypeNode r){return l+r;}
};


int main() {
    int N,M; cin >> N >> M;
    vector<ll> C(N),D(M);
    for(int i = 0; i < N; ++i) cin >> C[i];
    for(int j = 0; j < M; ++j) cin >> D[j];
    ll A,B; cin >> A >> B;
    ll K = 100000;
    vector<modint> dpC(K+1,0),dpD(K+1,0);
    dpC[0] = 1;
    dpD[0] = 1;
    for(int i = 0; i < N; ++i) {
        for(int j = K; 0 <= j; --j){
            if(j+C[i]<=K) dpC[j+C[i]] += dpC[j];
        }
    }
    for(int i = 0; i < M; ++i) {
        for(int j = K; 0 <= j; --j){
            if(j+D[i]<=K) dpD[j+D[i]] += dpD[j];
        }
    }
    DisjointSparseTable<NodeSum<modint>> dst(dpC);
    modint ans = 0;
    for(int i = 1; i <= K; ++i) {
        int l = max(i*A,0LL);
        int r = min(i*B,K);
        ans += dpD[i]*dst.get(l,r+1);
    }
    cout << ans << endl;
    return 0;
}
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