#922369 (C++17) No.1300 Sum of Inversions

提出ソース

結果

問題	No.1300 Sum of Inversions
ユーザー	ゆにぽけ
提出日時	2023-10-26 03:58:14
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	280 ms / 2,000 ms
コード長	4,666 bytes
コンパイル時間	1,799 ms
コンパイル使用メモリ	140,488 KB
実行使用メモリ	13,056 KB
最終ジャッジ日時	2024-09-25 11:50:24
合計ジャッジ時間	10,463 ms
ジャッジサーバーID （参考情報）	judge2 / judge1

このコードへのチャレンジ
（要ログイン）

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 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	200 ms 12,576 KB
testcase_04	AC	194 ms 12,544 KB
testcase_05	AC	149 ms 8,192 KB
testcase_06	AC	221 ms 12,800 KB
testcase_07	AC	212 ms 12,800 KB
testcase_08	AC	238 ms 12,928 KB
testcase_09	AC	241 ms 12,800 KB
testcase_10	AC	119 ms 8,320 KB
testcase_11	AC	119 ms 8,192 KB
testcase_12	AC	186 ms 12,544 KB
testcase_13	AC	185 ms 12,544 KB
testcase_14	AC	280 ms 12,928 KB
testcase_15	AC	235 ms 12,800 KB
testcase_16	AC	202 ms 12,672 KB
testcase_17	AC	115 ms 8,064 KB
testcase_18	AC	132 ms 8,064 KB
testcase_19	AC	163 ms 12,544 KB
testcase_20	AC	168 ms 12,544 KB
testcase_21	AC	168 ms 12,544 KB
testcase_22	AC	147 ms 8,320 KB
testcase_23	AC	230 ms 12,800 KB
testcase_24	AC	153 ms 8,192 KB
testcase_25	AC	128 ms 8,192 KB
testcase_26	AC	129 ms 8,320 KB
testcase_27	AC	141 ms 8,320 KB
testcase_28	AC	244 ms 12,928 KB
testcase_29	AC	170 ms 12,544 KB
testcase_30	AC	245 ms 12,800 KB
testcase_31	AC	147 ms 8,320 KB
testcase_32	AC	152 ms 8,320 KB
testcase_33	AC	21 ms 6,944 KB
testcase_34	AC	36 ms 6,940 KB
testcase_35	AC	154 ms 13,056 KB
testcase_36	AC	160 ms 13,056 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

raw source code

#include<iostream>
#include<vector>
#include<algorithm>
#include<cstring>
#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<functional>
#include<utility>
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;
	}
	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)()> struct SegmentTree
{
    private:
    int siz;
    vector<T> node;

    public:
    SegmentTree(int n = 0) noexcept
    {
        siz = 1;
        while(siz < n) siz <<= 1;

        node.assign(2*siz-1,e());
    }

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

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

    void func_update(int pos,T x) noexcept {func_update(pos,x,op);}

    void func_update(int pos,T x,T (*func)(T,T)) noexcept
    {
        assert(0 <= pos && pos < siz);
        pos += siz - 1;

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

        while(pos)
        {
            pos = (pos-1)/2;
            node[pos] = op(node[2*pos+1],node[2*pos+2]);
        }
    }

    T operator [](int pos) noexcept
    {
        assert(0 <= pos && pos < siz);
        return node[pos+siz-1];
    }

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

        l += siz-1;
        r += siz-1;

        T Lval = e();
        T 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);
    }

    T prod() noexcept {return node[0];}
};
mint op(mint a,mint b) {return a+b;}
mint e() {return mint();}
int N,A[2 << 17];
void solve()
{
	cin >> N;
	vector<int> vs(N);
	for(int i = 0;i < N;i++) cin >> A[i],vs[i] = A[i];
	sort(vs.begin(),vs.end());
	vs.erase(unique(vs.begin(),vs.end()),vs.end());
	int M = (int)vs.size();
	SegmentTree<mint,op,e> L(M),R(M),LS(M),RS(M);
	for(int i = 0;i < N;i++)
	{
		A[i] = lower_bound(vs.begin(),vs.end(),A[i])-vs.begin();
		R.add(A[i],1);
		RS.add(A[i],vs[A[i]]);
	}
	mint ans = 0;
	for(int i = 0;i < N;i++)
	{
		mint l = L.prod(A[i]+1,M),r = R.prod(0,A[i]);
		ans += l*r*vs[A[i]];
		ans += LS.prod(A[i]+1,M) * r;
		ans += RS.prod(0,A[i]) * l;

		L.add(A[i],1),R.add(A[i],-1),LS.add(A[i],vs[A[i]]),RS.add(A[i],-vs[A[i]]);
	}
	cout << ans << endl;
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int tt = 1;
	//cin >> tt;
	while(tt--) solve();
}

yukicoder

結果

テストケース

ソースコード