結果

問題 No.749 クエリ全部盛り
ユーザー ningenMeningenMe
提出日時 2020-09-26 23:31:47
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 572 ms / 3,000 ms
コード長 13,578 bytes
コンパイル時間 2,766 ms
コンパイル使用メモリ 225,692 KB
実行使用メモリ 141,364 KB
最終ジャッジ日時 2024-06-30 01:08:30
合計ジャッジ時間 6,674 ms
ジャッジサーバーID
(参考情報)
judge4 / judge5
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 5 ms
10,992 KB
testcase_01 AC 4 ms
10,988 KB
testcase_02 AC 4 ms
11,024 KB
testcase_03 AC 6 ms
11,012 KB
testcase_04 AC 4 ms
11,076 KB
testcase_05 AC 6 ms
11,096 KB
testcase_06 AC 6 ms
11,124 KB
testcase_07 AC 6 ms
11,056 KB
testcase_08 AC 6 ms
11,088 KB
testcase_09 AC 6 ms
11,204 KB
testcase_10 AC 25 ms
12,952 KB
testcase_11 AC 26 ms
12,956 KB
testcase_12 AC 28 ms
12,948 KB
testcase_13 AC 27 ms
12,888 KB
testcase_14 AC 25 ms
12,988 KB
testcase_15 AC 572 ms
141,268 KB
testcase_16 AC 550 ms
141,208 KB
testcase_17 AC 552 ms
141,200 KB
testcase_18 AC 554 ms
141,316 KB
testcase_19 AC 549 ms
141,364 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()
template<class T> using priority_queue_reverse = priority_queue<T,vector<T>,greater<T>>;

constexpr long long MOD = 1'000'000'000LL + 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>ostream &operator<<(ostream &o, const array<T,2>&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;}
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);}
vector<string> split(const string &str, const char delemiter) {vector<string> res;stringstream ss(str);string buffer; while( getline(ss, buffer, delemiter) ) res.push_back(buffer); return res;}
int msb(int x) {return x?31-__builtin_clz(x):-1;}
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;}

/*
 * @title ModInt
 * @docs md/util/ModInt.md
 */
template<long long mod> class ModInt {
public:
    long long x;
    constexpr ModInt():x(0) {}
    constexpr ModInt(long long y) : x(y>=0?(y%mod): (mod - (-y)%mod)%mod) {}
    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) {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; }
    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);for(;n > 0;mul *= mul,n >>= 1) if(n & 1) ret *= mul;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>;

constexpr int NMAX=1000000;
vector<modint> F(NMAX);

/*
 * @title LazySegmentTree - 非再帰抽象化遅延評価セグメント木
 * @docs md/segment/LazySegmentTree.md
 */
template<class Operator> class LazySegmentTree {
	using TypeNode = typename Operator::TypeNode;          
	using TypeLazy = typename Operator::TypeLazy;
	size_t num;      
	size_t length;                                   
	size_t height;                                   
	vector<TypeNode> node;                           
	vector<TypeLazy> lazy;                           
	vector<pair<size_t,size_t>> range;

	void propagate(int k) {
		if(lazy[k] == Operator::unit_lazy) return;
        node[k] = Operator::func_merge(node[k],lazy[k],range[k].first,range[k].second);
		if(k < length) lazy[2*k+0] = Operator::func_lazy(lazy[2*k+0],lazy[k],range[k].first,range[k].second);
		if(k < length) lazy[2*k+1] = Operator::func_lazy(lazy[2*k+1],lazy[k],range[k].first,range[k].second);
		lazy[k] = Operator::unit_lazy;
	}
public:

	//unitで初期化
	LazySegmentTree(const size_t num) : num(num) {
		for (length = 1,height = 0; length <= num; length *= 2, height++);
		node.resize(2 * length, Operator::unit_node);
		lazy.resize(2 * length, Operator::unit_lazy);
		for (int i = 0; i < num; ++i) node[i + length] = Operator::unit_node;
		for (int i = length - 1; i >= 0; --i) node[i] = Operator::func_node(node[(i<<1)+0],node[(i<<1)+1]);
		range.resize(2 * length);
		for (int i = 0; i < length; ++i) range[i+length] = make_pair(i,i+1);
		for (int i = length - 1; i >= 0; --i) range[i] = make_pair(range[(i<<1)+0].first,range[(i<<1)+1].second);
	}

	// //同じinitで初期化
	LazySegmentTree(const size_t num, const TypeNode init) : num(num) {
		for (length = 1,height = 0; length <= num; length *= 2, height++);
		node.resize(2 * length, Operator::unit_node);
		lazy.resize(2 * length, Operator::unit_lazy);
		for (int i = 0; i < num; ++i) node[i + length] = init;
		for (int i = length - 1; i >= 0; --i) node[i] = Operator::func_node(node[(i<<1)+0],node[(i<<1)+1]);
		range.resize(2 * length);
		for (int i = 0; i < length; ++i) range[i+length] = make_pair(i,i+1);
		for (int i = length - 1; i >= 0; --i) range[i] = make_pair(range[(i<<1)+0].first,range[(i<<1)+1].second);
	}

	//vectorで初期化
	LazySegmentTree(const vector<TypeNode>& vec) : num(vec.size()) {
		for (length = 1,height = 0; length <= vec.size(); length *= 2, height++);
		node.resize(2 * length, Operator::unit_node);
		lazy.resize(2 * length, Operator::unit_lazy);
		for (int i = 0; i < vec.size(); ++i) node[i + length] = vec[i];
		for (int i = length - 1; i >= 0; --i) node[i] = Operator::func_node(node[(i<<1)+0],node[(i<<1)+1]);
		range.resize(2 * length);
		for (int i = 0; i < length; ++i) range[i+length] = make_pair(i,i+1);
		for (int i = length - 1; i >= 0; --i) range[i] = make_pair(range[(i<<1)+0].first,range[(i<<1)+1].second);
	}

	//update [a,b)
	void update(int a, int b, TypeLazy 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] = Operator::func_lazy(lazy[l],x,range[l].first,range[l].second), propagate(l),l++;
			if(r&1) --r,lazy[r] = Operator::func_lazy(lazy[r],x,range[r].first,range[r].second), propagate(r);
		}
		l = a + length, r = b + length - 1;
		while ((l>>=1),(r>>=1),l) {
            if(lazy[l] == Operator::unit_lazy) node[l] = Operator::func_node(Operator::func_merge(node[(l<<1)+0],lazy[(l<<1)+0],range[(l<<1)+0].first,range[(l<<1)+0].second),Operator::func_merge(node[(l<<1)+1],lazy[(l<<1)+1],range[(l<<1)+1].first,range[(l<<1)+1].second));
            if(lazy[r] == Operator::unit_lazy) node[r] = Operator::func_node(Operator::func_merge(node[(r<<1)+0],lazy[(r<<1)+0],range[(r<<1)+0].first,range[(r<<1)+0].second),Operator::func_merge(node[(r<<1)+1],lazy[(r<<1)+1],range[(r<<1)+1].first,range[(r<<1)+1].second));
  		}
	}

	//get [a,b)
	TypeNode 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);
		TypeNode vl = Operator::unit_node, vr = Operator::unit_node;
		for(r++; l < r; l >>=1, r >>=1) {
            if(l&1) vl = Operator::func_node(vl,Operator::func_merge(node[l],lazy[l],range[l].first,range[l].second)),l++;
            if(r&1) r--,vr = Operator::func_node(Operator::func_merge(node[r],lazy[r],range[r].first,range[r].second),vr);
 		}
		return Operator::func_node(vl,vr);
	}

	//return [0,length]
	int prefix_binary_search(TypeNode var) {
		int l = length, r = 2*length - 1;
		for (int i = height; 0 < i; --i) propagate(l >> i), propagate(r >> i);
		if(!Operator::func_check(node[1],var)) return num;
		TypeNode ret = Operator::unit_node;
		size_t idx = 2;
		for(; idx < 2*length; idx<<=1){
            if(!Operator::func_check(Operator::func_node(ret,Operator::func_merge(node[idx],lazy[idx],range[idx].first,range[idx].second)),var)) {
                ret = Operator::func_node(ret,Operator::func_merge(node[idx],lazy[idx],range[idx].first,range[idx].second));
                idx++;
            }
		}
		return min((idx>>1) - length,num);
	}

	//range[l,r) return [l,r]
	int binary_search(size_t l, size_t r, TypeNode var) {
		if (l < 0 || length <= l || r < 0 || length < r) return -1;
		for (int i = height; 0 < i; --i) propagate((l+length) >> i), propagate((r+length-1) >> i);
		TypeNode ret = Operator::unit_node;
		size_t off = l;
		for(size_t idx = l+length; idx < 2*length && off < r; ){
            if(range[idx].second<=r && !Operator::func_check(Operator::func_node(ret,Operator::func_merge(node[idx],lazy[idx],range[idx].first,range[idx].second)),var)) {
                ret = Operator::func_node(ret,Operator::func_merge(node[idx],lazy[idx],range[idx].first,range[idx].second));
                off = range[idx++].second;
                if(!(idx&1)) idx >>= 1;			
            }
            else{
				idx <<=1;
			}
		}
		return off;
	}

	void print(){
		// 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 << "vector" << endl;
		cout << "{ " << get(0,1);
		for(int i = 1; i < length; ++i) cout << ", " << get(i,i+1);
		cout << " }" << endl;
	}
};

//node:総和 lazy:加算
template<class T, class U> struct NodeSumRangeManyQuery {
	using TypeNode = T;
	using TypeLazy = U;
	inline static constexpr TypeNode unit_node = {0,0};
	inline static constexpr TypeLazy unit_lazy = {1,0,0};
	inline static constexpr TypeNode func_node(TypeNode l,TypeNode r){
        return {l[0]+r[0],l[1]+r[1]};
    }
	inline static constexpr TypeLazy func_lazy(TypeLazy pre_lazy,TypeLazy cur_lazy,int l, int r){
        pre_lazy[0] = cur_lazy[0]*pre_lazy[0];
        pre_lazy[1] = cur_lazy[0]*pre_lazy[1]+cur_lazy[1];
        pre_lazy[2] = cur_lazy[0]*pre_lazy[2]+cur_lazy[2];
        return pre_lazy;
    }
	inline static constexpr TypeNode func_merge(TypeNode node,TypeLazy lazy,int l, int r){
        return {lazy[0]*node[0]+lazy[1]*(r-l)+lazy[2]*node[1],node[1]};
    }
	inline static constexpr bool func_check(TypeNode nodeVal,TypeNode var){return var <= nodeVal;}
	// LazySegmentTree<NodeSumRangeUpdate<ll,ll>> Seg(N,0);
};

using no = array<modint,2>;
using la = array<modint,3>;
int main() {
    cin.tie(0);ios::sync_with_stdio(false);
    F[0]=0,F[1]=1;
    for(int i=2;i<NMAX;++i) F[i]=F[i-1]+F[i-2];
    int N,Q; cin >> N >> Q;
    vector<no> a(N);
    for(int i=0;i<N;++i) a[i]={0,F[i]};
    LazySegmentTree<NodeSumRangeManyQuery<no,la>> seg(a);
    while(Q--) {
        int q,l,r,k; cin >> q >> l >> r >> k;
        r++;
        if(q==0) {
            cout << seg.get(l,r)[0]*k << endl;
            continue;
        }
        la query={0,0,0};
        if(q==1) query[1]=k;
        if(q==2) query[0]=1,query[1]=k;
        if(q==3) query[0]=k;
        if(q==4) query[0]=1,query[2]=k;
        seg.update(l,r,query);
    }
    return 0;
}
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