結果

問題 No.1548 [Cherry 2nd Tune B] 貴方と私とサイクルとモーメント
ユーザー ゆにぽけゆにぽけ
提出日時 2024-02-23 08:51:01
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 109 ms / 4,500 ms
コード長 7,680 bytes
コンパイル時間 1,442 ms
コンパイル使用メモリ 139,216 KB
実行使用メモリ 18,532 KB
最終ジャッジ日時 2024-09-29 04:55:53
合計ジャッジ時間 8,080 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
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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 1 ms
6,816 KB
testcase_01 AC 1 ms
6,816 KB
testcase_02 AC 78 ms
10,724 KB
testcase_03 AC 23 ms
7,128 KB
testcase_04 AC 68 ms
17,684 KB
testcase_05 AC 8 ms
5,248 KB
testcase_06 AC 57 ms
10,240 KB
testcase_07 AC 70 ms
18,280 KB
testcase_08 AC 78 ms
10,940 KB
testcase_09 AC 58 ms
7,296 KB
testcase_10 AC 48 ms
17,368 KB
testcase_11 AC 57 ms
17,536 KB
testcase_12 AC 41 ms
6,816 KB
testcase_13 AC 32 ms
17,488 KB
testcase_14 AC 60 ms
6,912 KB
testcase_15 AC 34 ms
18,380 KB
testcase_16 AC 61 ms
11,180 KB
testcase_17 AC 76 ms
17,148 KB
testcase_18 AC 61 ms
18,128 KB
testcase_19 AC 32 ms
6,820 KB
testcase_20 AC 44 ms
17,740 KB
testcase_21 AC 53 ms
10,232 KB
testcase_22 AC 97 ms
18,360 KB
testcase_23 AC 97 ms
18,496 KB
testcase_24 AC 98 ms
18,436 KB
testcase_25 AC 98 ms
18,468 KB
testcase_26 AC 100 ms
18,532 KB
testcase_27 AC 102 ms
18,472 KB
testcase_28 AC 99 ms
18,496 KB
testcase_29 AC 97 ms
18,224 KB
testcase_30 AC 102 ms
18,384 KB
testcase_31 AC 97 ms
18,232 KB
testcase_32 AC 79 ms
18,404 KB
testcase_33 AC 84 ms
18,400 KB
testcase_34 AC 82 ms
18,380 KB
testcase_35 AC 82 ms
18,396 KB
testcase_36 AC 84 ms
18,376 KB
testcase_37 AC 109 ms
18,396 KB
testcase_38 AC 79 ms
18,444 KB
testcase_39 AC 86 ms
18,384 KB
testcase_40 AC 83 ms
18,404 KB
testcase_41 AC 84 ms
18,384 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 <iostream>
#include <vector>
#include <algorithm>
#include <array>
#include <iterator>
#include <string>
#include <cctype>
#include <cstring>
#include <cstdlib>
#include <cassert>
#include <cmath>
#include <ctime>
#include <iomanip>
#include <numeric>
#include <stack>
#include <queue>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <bitset>
#include <random>
#include <utility>
#include <functional>
using namespace std;
template<int m> struct modint
{
	private:
	unsigned int value;
	static constexpr int mod() {return m;}

	public:
	constexpr modint(const long long x = 0) noexcept
	{
		long long y = x;
		if(y < 0 || y >= mod())
		{
			y %= mod();
			if(y < 0) y += mod();
		}
		value = (unsigned int)y;
	}
	static constexpr int get_mod() noexcept {return m;}
	static constexpr int primitive_root() noexcept
	{
		assert(m == 998244353);
		return 3;
	}
	constexpr unsigned int val() noexcept {return value;}
	constexpr modint &operator+=(const modint &other) noexcept
	{
		value += other.value;
		if(value >= mod()) value -= mod();
		return *this;
	}
	constexpr modint &operator-=(const modint &other) noexcept
	{
		unsigned int x = value;
		if(x < other.value) x += mod();
		x -= other.value;
		value = x;
		return *this;
	}
	constexpr modint &operator*=(const modint &other) noexcept
	{
		unsigned long long x = value;
		x *= other.value;
		value = (unsigned int) (x % mod());
		return *this;
	}
	constexpr modint &operator/=(const modint &other) noexcept
	{
		return *this *= other.inverse();
	}
	constexpr modint inverse() const noexcept
	{
		assert(value);
		long long a = value,b = mod(),x = 1,y = 0;
		while(b)
		{
			long long q = a/b;
			a -= q*b; swap(a,b);
			x -= q*y; swap(x,y);
		}
		return modint(x);
	}
	constexpr modint power(long long N) const noexcept
	{
		assert(N >= 0);
		modint p = *this,ret = 1;
		while(N)
		{
			if(N & 1) ret *= p;
			p *= p;
			N >>= 1;
		}
		return ret;
	}
	constexpr modint operator+() {return *this;}
	constexpr modint operator-() {return modint() - *this;}
	constexpr modint &operator++(int) noexcept {return *this += 1;}
	constexpr modint &operator--(int) noexcept {return *this -= 1;}
	friend modint operator+(const modint& lhs, const modint& rhs) {return modint(lhs) += rhs;}
	friend modint operator-(const modint& lhs, const modint& rhs) {return modint(lhs) -= rhs;}
	friend modint operator*(const modint& lhs, const modint& rhs) {return modint(lhs) *= rhs;}
	friend modint operator/(const modint& lhs, const modint& rhs) {return modint(lhs) /= rhs;}
	friend ostream &operator<<(ostream &os,const modint &x) {return os << x.value;}
};
using mint = modint<998244353>;
/* using mint = modint<1000000007>; */
template<class T,T (*op)(T,T),T e(),class F,T (*mapping)(F,T),F (*composition)(F,F),F id()> struct LazySegmentTree
{
    private:
    vector<T> node;
    vector<F> lazy;
    int siz,log;

    void map_and_comp(F f,int u)
    {
        node[u] = mapping(f,node[u]);
        if(u < siz) lazy[u] = composition(f,lazy[u]);
    }

    void propagate(int u)
    {
        assert(0 <= u && u < siz);

        map_and_comp(lazy[u],2*u);
        map_and_comp(lazy[u],2*u+1);

        lazy[u] = id();
    }

    void recalculate(int u) {node[u] = op(node[2*u],node[2*u+1]);}

    public:
    LazySegmentTree(int n = 0) : LazySegmentTree(vector<T>(n,e())) {}
    LazySegmentTree(const vector<T> &V)
    {
	    siz = 1;
	    log = 0;
	    while(siz < (int)V.size()) siz <<= 1,log++;
	    node.assign(2*siz,e());
	    lazy.assign(siz,id());
	    for(int i = 0;i < (int)V.size();i++) node[i+siz] = V[i];
	    for(int i = siz-1;i >= 1;i--) recalculate(i);
    }

    void fill(T x,int l = 0,int r = -1) {if(r < 0){r = siz;} for(int i = l;i < r;i++) replace(i,x);}

    void clear() {fill(e());}

    void replace(int pos,T x) {func_update(pos,x,[](T u,T v){return u = v;});}

    void add(int pos,T x) {func_update(pos,x,[](T u,T v){return u + v;});}

    void func_update(int pos,T x,T (*func)(T,T))
    {
        assert(0 <= pos && pos < siz);
        pos += siz;

        for(int i = log;i >= 1;i--) propagate(pos >> i);

        node[pos] = func(node[pos],x);

        for(int i = 1;i <= log;i++) recalculate(pos >> i);
    }

    T operator[](int pos)
    {
        assert(0 <= pos && pos < siz);

        pos += siz;
        for(int i = log;i >= 1;i--) propagate(pos >> i);
        return node[pos];
    }

    void apply(int pos,F f)
    {
        assert(0 <= pos && pos < siz);
        pos += siz;

        for(int i = log;i >= 1;i--) propagate(pos >> i);

        node[pos] = mapping(f,node[pos]);

        for(int i = 1;i <= log;i++) recalculate(pos >> i);
    }

    void apply(int l,int r,F f)
    {
        assert(0 <= l && l <= r && r <= siz);
        if(l == r) return;

        l += siz;
        r += siz;

        int l0 = l/(l & -l);
        int r0 = r/(r & -r);

        for(int i = log;i >= 1;i--) propagate(l0 >> i);
        for(int i = log;i >= 1;i--) propagate((r0-1) >> i);

        while(l < r)
        {
            if(l & 1) map_and_comp(f,l++);
            if(r & 1) map_and_comp(f,--r);

            l >>= 1;
            r >>= 1;
        }

        for(int i = 1;i <= log;i++) recalculate(l0 >> i);
        for(int i = 1;i <= log;i++) recalculate((r0-1) >> i);
    }

    T prod() {return node[1];}

    T prod(int l,int r)
    {
        assert(0 <= l && l <= r && r <= siz);

        l += siz;
        r += siz;

        int l0 = l/(l & -l);
        int r0 = r/(r & -r);

        for(int i = log;i >= 1;i--) propagate(l0 >> i);
        for(int i = log;i >= 1;i--) propagate((r0-1) >> i);

        T Lval = e(),Rval = e();
        while(l < r)
        {
            if(l & 1) Lval = op(Lval,node[l++]);
            if(r & 1) Rval = op(node[--r],Rval);

            l >>= 1;
            r >>= 1;
        }

        return op(Lval,Rval);
    }
};
using S = array<mint,5>;
S op(S a,S b)
{
	for(int i = 0;i < 5;i++)
	{
		a[i] += b[i];
	}
	return a;
}
S e()
{
	S x;
	for(int i = 0;i < 5;i++)
	{
		x[i] = 0;
	}
	return x;
}
S mp(int f,S x)
{
	if(f != -1)
	{
		mint len = x[0];
		mint p = f;
		for(int i = 1;i < 5;i++)
		{
			x[i] = p * len;
			p *= f;
		}
	}
	return x;
}
int cp(int f,int g)
{
	return f == -1 ? g : f;
}
int id()
{
	return -1;
}
void Main()
{
	int N;
	cin >> N;
	vector<S> init(N);
	for(int i = 0;i < N;i++)
	{
		int a;
		cin >> a;
		init[i][0] = 1;
		for(int j = 1;j < 5;j++)
		{
			init[i][j] = init[i][j - 1] * a;
		}
	}
	LazySegmentTree<S,op,e,int,mp,cp,id> seg(init);
	int Q;
	cin >> Q;
	for(;Q--;)
	{
		int t,u,v,w;
		cin >> t >> u >> v >> w;
		if(u > v)
		{
			swap(u,v);
		}
		if(t == 0)
		{
			int b;
			cin >> b;
			if(u < w && w < v)
			{
				seg.apply(u - 1,v,b);
			}
			else
			{
				seg.apply(v - 1,N,b);
				seg.apply(0,u,b);
			}
		}
		else
		{
			S x;
			if(u < w && w < v)
			{
				x = seg.prod(u - 1,v);
			}
			else
			{
				/* cout << seg.prod(v - 1,N)[0] << " " << seg.prod(0,u)[0] << " " << N - v + 1 << " " << u << "\n"; */
				x = op(seg.prod(v - 1,N),seg.prod(0,u));
			}
			mint L = x[0],M = x[1] / L;
			mint ans = 0;
			if(t == 1)
			{
			}
			else if(t == 2)
			{
				ans += x[2];
				ans -= 2 * M * x[1];
				ans += M * M * x[0];
				ans /= L;
			}
			else if(t == 3)
			{
				ans += x[3];
				ans -= 3 * M * x[2];
				ans += 3 * M * M * x[1];
				ans -= M * M * M * x[0];
				ans /= L;
			}
			else
			{
				ans += x[4];
				ans -= 4 * M * x[3];
				ans += 6 * M * M * x[2];
				ans -= 4 * M * M * M * x[1];
				ans += M * M * M * M * x[0];
				ans /= L;
			}
			cout << ans << "\n";
		}
	}
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int tt = 1;
	/* cin >> tt; */
	while(tt--) Main();
}
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