#384651 (C++14) No.895 MESE

提出ソース

結果

問題	No.895 MESE
ユーザー	ningenMe
提出日時	2019-09-27 23:14:04
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	66 ms / 2,000 ms
コード長	10,316 bytes
コンパイル時間	1,796 ms
コンパイル使用メモリ	179,448 KB
実行使用メモリ	30,908 KB
最終ジャッジ日時	2024-09-25 01:40:15
合計ジャッジ時間	3,555 ms
ジャッジサーバーID （参考情報）	judge5 / 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	2 ms 6,812 KB
testcase_01	AC	2 ms 6,812 KB
testcase_02	AC	2 ms 6,944 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	2 ms 6,940 KB
testcase_05	AC	1 ms 6,944 KB
testcase_06	AC	2 ms 6,944 KB
testcase_07	AC	2 ms 6,940 KB
testcase_08	AC	2 ms 6,944 KB
testcase_09	AC	3 ms 6,944 KB
testcase_10	AC	2 ms 6,944 KB
testcase_11	AC	2 ms 6,944 KB
testcase_12	AC	2 ms 6,944 KB
testcase_13	AC	30 ms 17,604 KB
testcase_14	AC	50 ms 17,596 KB
testcase_15	AC	53 ms 18,016 KB
testcase_16	AC	37 ms 17,392 KB
testcase_17	AC	19 ms 17,356 KB
testcase_18	AC	64 ms 30,776 KB
testcase_19	AC	64 ms 30,688 KB
testcase_20	AC	66 ms 30,796 KB
testcase_21	AC	63 ms 30,760 KB
testcase_22	AC	64 ms 30,732 KB
testcase_23	AC	63 ms 30,728 KB
testcase_24	AC	65 ms 30,772 KB
testcase_25	AC	64 ms 30,688 KB
testcase_26	AC	65 ms 30,908 KB
testcase_27	AC	63 ms 30,704 KB
testcase_28	AC	65 ms 30,804 KB

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ソースコード

raw source code

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;

#define REP(i,n) for(long long i = 0; i < (n); i++)
#define FOR(i, m, n) for(long long i = (m);i < (n); ++i)
#define ALL(obj) (obj).begin(),(obj).end()
#define SPEED cin.tie(0);ios::sync_with_stdio(false);

template<class T> using V = vector<T>;
template<class T, class U> using P = pair<T, U>;
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 = 3.1415926535897932384626433;

template <class T> vector<T> make_v(size_t N,T init){return vector<T>(N,init);}
template <class... T> auto make_v(size_t N,T... t){return vector<decltype(make_v(t...))>(N,make_v(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<class T> class LazySegmentTree {
	size_t length;                  //セグメント木の最下段の要素の数(vectorの要素の数を超える2べきの数)
	size_t height;                  //セグメント木の高さ 
	T unitNode;                     //nodeの単位元
	T unitLazy;                     //lazyの単位元
	vector<T> node;                 //node
	vector<T> lazy;                 //lazy
	vector<int> width;              //width
	function<T(T,T)> funcNode;      //node同士の演算
	function<T(T,T)> funcLazy;      //lazy同士の演算
	function<T(T,T,int)> funcMerge; //nodeとlazyの演算

public:
	//vectorで初期化
	LazySegmentTree(const vector<T> & vec, const T unitNode, const T unitLazy, function<T(T,T)> funcNode, function<T(T,T)> funcLazy,function<T(T,T,int)> funcMerge)
	 : unitNode(unitNode), unitLazy(unitLazy), funcNode(funcNode),funcLazy(funcLazy),funcMerge(funcMerge) {
		for (length = 1,height = 0; length < vec.size(); length *= 2, height++);
		node.resize(2 * length, unitNode);
		lazy.resize(2 * length, unitLazy);
		for (int i = 0; i < vec.size(); ++i) node[i + length] = vec[i];
		for (int i = length - 1; i >= 0; --i) node[i] = funcNode(node[(i<<1)+0],node[(i<<1)+1]);
		width.resize(2 * length, 0);
		for(int i = length; i < 2*length; ++i) for(int j = i, k = 1; j && !width[j] ; j >>= 1,k <<= 1) width[j] = k;
	}

	//同じinitで初期化
	LazySegmentTree(const size_t num, const T unitNode, const T unitLazy, const T init, function<T(T,T)> funcNode, function<T(T,T)> funcLazy,function<T(T,T,int)> funcMerge)
	 : unitNode(unitNode), unitLazy(unitLazy), funcNode(funcNode),funcLazy(funcLazy),funcMerge(funcMerge) {
		for (length = 1,height = 0; length < num; length *= 2, height++);
		node.resize(2 * length, unitNode);
		lazy.resize(2 * length, unitLazy);
		for (int i = 0; i < num; ++i) node[i + length] = init;
		for (int i = length - 1; i >= 0; --i) node[i] = funcNode(node[(i<<1)+0],node[(i<<1)+1]);
		width.resize(2 * length, 0);
		for(int i = length; i < 2*length; ++i) for(int j = i, k = 1; j && !width[j] ; j >>= 1,k <<= 1) width[j] = k;
	}
 
	//unitだけで初期化
	LazySegmentTree(const size_t num, const T unitNode, const T unitLazy, function<T(T,T)> funcNode, function<T(T,T)> funcLazy,function<T(T,T,int)> funcMerge)
	: unitNode(unitNode), unitLazy(unitLazy), funcNode(funcNode),funcLazy(funcLazy),funcMerge(funcMerge) {
		for (length = 1,height = 0; length < num; length *= 2, height++);
		node.resize(2 * length, unitNode);
		lazy.resize(2 * length, unitLazy);
		width.resize(2 * length, 0);
		for(int i = length; i < 2*length; ++i) for(int j = i, k = 1; j && !width[j] ; j >>= 1,k <<= 1) width[j] = k;
	}


	void propagate(int k) {
		if(lazy[k] == unitLazy) return;
		node[k] = funcMerge(node[k],lazy[k],width[k]);
		if(k < length) lazy[2*k+0] = funcLazy(lazy[2*k+0],lazy[k]);
		if(k < length) lazy[2*k+1] = funcLazy(lazy[2*k+1],lazy[k]);
		lazy[k] = unitLazy;
    }


	//idx : 0-indexed
    void update(int a, int b, T x) {
		int l = a + length, r = b + length - 1;
		for (int i = height; 0 < i; --i) propagate(l >> i), propagate(r >> i);
		for(r++; l < r; l >>=1, r >>=1) {
			if(l&1) lazy[l] = funcLazy(lazy[l],x), propagate(l),l++;
			if(r&1) --r,lazy[r] = funcLazy(lazy[r],x), propagate(r);
		}
		l = a + length, r = b + length - 1;
		while ((l>>=1),(r>>=1),l) {
			if(lazy[l] == unitLazy) node[l] = funcNode(funcMerge(node[(l<<1)+0],lazy[(l<<1)+0],width[(l<<1)+0]),funcMerge(node[(l<<1)+1],lazy[(l<<1)+1],width[(l<<1)+1]));
			if(lazy[r] == unitLazy) node[r] = funcNode(funcMerge(node[(r<<1)+0],lazy[(r<<1)+0],width[(r<<1)+0]),funcMerge(node[(r<<1)+1],lazy[(r<<1)+1],width[(r<<1)+1]));
		}
    }

	//[l,r)
	T get(int a, int b) {
		int l = a + length, r = b + length - 1;
		for (int i = height; 0 < i; --i) propagate(l >> i), propagate(r >> i);
		T vl = unitNode, vr = unitNode;
		for(r++; l < r; l >>=1, r >>=1) {
			if(l&1) vl = funcNode(vl,funcMerge(node[l],lazy[l],width[l])),l++;
			if(r&1) r--,vr = funcNode(vr,funcMerge(node[r],lazy[r],width[r]));
		}
		return funcNode(vl,vr);
	}

	void print(){
		cout << "height" << " " << height << endl;
		cout << "node" << endl;
		for(int i = 1,j = 1; i < 2*length; ++i) {
			cout << node[i] << " ";
			if(i==((1<<j)-1) && ++j) cout << endl;
		}
		cout << "lazy" << endl;
		for(int i = 1,j = 1; i < 2*length; ++i) {
			cout << lazy[i] << " ";
			if(i==((1<<j)-1) && ++j) cout << endl;
		}
		// cout << "width" << endl;
		// for(int i = 1,j = 1; i < 2*length; ++i) {
		// 	cout << width[i] << " ";
		// 	if(i==((1<<j)-1) && ++j) cout << endl;
		// }
		cout << "vector" << endl;
		cout << "{ " << get(0,1);
		for(int i = 1; i < length; ++i) cout << ", " << get(i,i+1);
		cout << " }" << endl;
	}

};

//RUQ + RMQ
//verify https://atcoder.jp/contests/nikkei2019-final/tasks/nikkei2019_final_d
//verify https://atcoder.jp/contests/code-festival-2018-final/tasks/code_festival_2018_final_e

//RUQ + RMQ
//verify https://atcoder.jp/contests/nikkei2019-final/tasks/nikkei2019_final_d

// 区間加算 + 区間最小
// function<ll(ll,ll)> funcNode  = [&](ll l,ll r){return min(l,r);};
// function<ll(ll,ll)> funcLazy  = [&](ll l,ll r){return l+r;};
// function<ll(ll,ll,int)> funcMerge = [&](ll l,ll r,int c){return l+r;};
// LazySegmentTree<ll> Seg(N,inf,0,0,funcNode,funcLazy,funcMerge);

// 区間加算 + 区間総和
// function<ll(ll,ll)> funcNode  = [&](ll l,ll r){return l+r;};
// function<ll(ll,ll)> funcLazy  = [&](ll l,ll r){return l+r;};
// function<ll(ll,ll,int)> funcMerge = [&](ll l,ll r,int c){return l+r*c;};
// LazySegmentTree<ll> Seg(N,0,0,funcNode,funcLazy,funcMerge);

// 区間更新 + 区間総和
// function<ll(ll,ll)> funcNode  = [&](ll l,ll r){return l+r;};
// function<ll(ll,ll)> funcLazy  = [&](ll l,ll r){return r;};
// function<ll(ll,ll,int)> funcMerge = [&](ll l,ll r,int c){return r!=-2000?r*c:l;};
// LazySegmentTree<ll> Seg(N,0,-2000,0,funcNode,funcLazy,funcMerge);

// 区間更新 + 区間最大
// function<ll(ll,ll)> funcNode  = [&](ll l,ll r){return max(l,r);};
// function<ll(ll,ll)> funcLazy  = [&](ll l,ll r){return r;};
// function<ll(ll,ll,int)> funcMerge = [&](ll l,ll r,int c){return r!=0?r:l;};
// LazySegmentTree<ll> Seg(N+2,0,0,funcNode,funcLazy,funcMerge);




//Pow_Mod O(log(n))
long long Pow_Mod(long long x, long long n, long long mod) {
    long long res = 1;
    for (; n > 0; n >>= 1, (x *= x) %= mod) if (n & 1) (res *= x) %= mod;
    return res;
}

//Inv_Mod O(log(mod))
long long Inv_Mod(long long x, long long mod){
	return Pow_Mod(x,mod-2,mod); 
}


//Factorial_Mod
vector<long long> Factorial_Mod(long long N, long long mod) {
    vector<long long> res(N + 1, 1);
    for (long long i = 1; i <= N; ++i) res[i] = (res[i - 1] * i) % mod;
    return res;
}


int main() {
	ll A,B,C; cin >> A >> B >> C;
	ll N = A + B + C;
	auto F = Factorial_Mod(N,MOD);
	function<ll(ll,ll)> funcNode  = [&](ll l,ll r){return (l+r) % MOD;};
	function<ll(ll,ll)> funcLazy  = [&](ll l,ll r){return (l+r) % MOD;};
	function<ll(ll,ll,int)> funcMerge = [&](ll l,ll r,int c){return (l+r*c) % MOD;};
	LazySegmentTree<ll> Seg(N,0,0,funcNode,funcLazy,funcMerge);

	vector<ll> sum(N,0),pow2(N,1);
	for(ll i = 1; i <= A; ++i) {
		ll k = i + 2;
		ll cnt = F[N-k];
		(cnt *= Inv_Mod(F[A-i],MOD)) %= MOD;
		(cnt *= Inv_Mod(F[B-1],MOD)) %= MOD;
		(cnt *= Inv_Mod(F[C-1],MOD)) %= MOD;
		sum[i+1] += cnt;
	}
	for(int i = 1; i < N; ++i) {
		(sum[i] += sum[i-1]) %= MOD;
		pow2[i] = (pow2[i-1]*2) % MOD;
	}

	ll ans = 0;
	for(ll i = 0; i < N; ++i) {
		int j = N-1-i;
		(ans += (sum[j]*pow2[i]) % MOD ) %= MOD;
	}
	cout << ans << endl;

	

	
	return 0;
 }

yukicoder

結果

テストケース

ソースコード