#689749 (C++17) No.1649 Manhattan Square

提出ソース

結果

問題	No.1649 Manhattan Square
ユーザー	tran0826
提出日時	2021-08-14 05:14:49
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	536 ms / 3,000 ms
コード長	12,068 bytes
コンパイル時間	2,508 ms
コンパイル使用メモリ	167,812 KB
実行使用メモリ	26,752 KB
最終ジャッジ日時	2024-10-04 11:35:54
合計ジャッジ時間	20,805 ms
ジャッジサーバーID （参考情報）	judge1 / 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	2 ms 5,248 KB
testcase_01	AC	2 ms 5,248 KB
testcase_02	AC	5 ms 5,248 KB
testcase_03	AC	5 ms 5,248 KB
testcase_04	AC	4 ms 5,248 KB
testcase_05	AC	5 ms 5,248 KB
testcase_06	AC	4 ms 5,248 KB
testcase_07	AC	401 ms 26,752 KB
testcase_08	AC	438 ms 26,624 KB
testcase_09	AC	426 ms 26,624 KB
testcase_10	AC	406 ms 26,624 KB
testcase_11	AC	427 ms 26,624 KB
testcase_12	AC	273 ms 13,184 KB
testcase_13	AC	391 ms 19,456 KB
testcase_14	AC	316 ms 15,872 KB
testcase_15	AC	327 ms 17,536 KB
testcase_16	AC	253 ms 11,904 KB
testcase_17	AC	260 ms 12,416 KB
testcase_18	AC	222 ms 11,008 KB
testcase_19	AC	290 ms 16,512 KB
testcase_20	AC	262 ms 13,696 KB
testcase_21	AC	328 ms 19,712 KB
testcase_22	AC	446 ms 26,624 KB
testcase_23	AC	501 ms 26,624 KB
testcase_24	AC	457 ms 26,624 KB
testcase_25	AC	416 ms 26,496 KB
testcase_26	AC	452 ms 26,496 KB
testcase_27	AC	402 ms 26,624 KB
testcase_28	AC	452 ms 26,624 KB
testcase_29	AC	431 ms 26,624 KB
testcase_30	AC	425 ms 26,624 KB
testcase_31	AC	431 ms 26,624 KB
testcase_32	AC	417 ms 26,624 KB
testcase_33	AC	430 ms 26,624 KB
testcase_34	AC	536 ms 26,624 KB
testcase_35	AC	418 ms 26,624 KB
testcase_36	AC	421 ms 26,624 KB
testcase_37	AC	410 ms 26,624 KB
testcase_38	AC	428 ms 26,624 KB
testcase_39	AC	432 ms 26,624 KB
testcase_40	AC	433 ms 26,496 KB
testcase_41	AC	452 ms 26,752 KB
testcase_42	AC	394 ms 26,624 KB
testcase_43	AC	2 ms 5,248 KB
testcase_44	AC	1 ms 5,248 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

//#pragma GCC target("avx2")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")

#include<iostream>
#include<vector>
#include<set>
#include<queue>
#include<map>
#include<algorithm>
#include<cstring>
#include<string>
#include<cassert>
#include<cmath>
#include<climits>
#include<iomanip>
#include<stack>
#include<unordered_map>
#include<bitset>
#include<limits>
#include<complex>
#include<array>
#include<numeric>
#include<functional>
#include<random>


using namespace std;
#define ll long long
#define ull unsigned long long
#define rep(i,m,n) for(ll (i)=(ll)(m);i<(ll)(n);i++)
#define REP(i,n) rep(i,0,n)
#define all(hoge) (hoge).begin(),(hoge).end()
#define llsize(c) ((ll)c.size())
typedef pair<ll, ll> P;
P operator+(const P a, P b) { return P(a.first + b.first, a.second + b.second); }
P operator-(const P a, P b) { return P(a.first - b.first, a.second - b.second); }


constexpr long double m_pi = 3.1415926535897932L;
constexpr ll MOD = 1000000007;
constexpr ll INF = 1LL << 61;
constexpr long double EPS = 1e-10;
template<typename T> using vector2 = vector<vector<T>>;
template<typename T> using vector3 = vector<vector2<T>>;
typedef vector<ll> Array;
typedef vector<Array> Matrix;
string operator*(const string& s, int k) {
	if (k == 0) return "";
	string p = (s + s) * (k / 2);
	if (k % 2 == 1) p += s;
	return p;
}

template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; }return false; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; }return false; }

struct Edge {//グラフ
	int to, rev; ll cap;
	Edge(int _to, ll _cap, int _rev) {
		to = _to; cap = _cap; rev = _rev;
	}
};
typedef vector<Edge> Edges;
typedef vector<Edges> Graph;
void add_edge(Graph& G, int from, int to, ll cap, bool revFlag, ll revCap) {//最大フロー求める Ford-fulkerson
	G[from].push_back(Edge(to, cap, (ll)G[to].size() + (from == to)));
	if (revFlag)G[to].push_back(Edge(from, revCap, (ll)G[from].size() - 1));//最小カットの場合逆辺は0にする
}

void BellmanFord(Graph& G, ll s, Array& d, Array& negative) {//O(|E||V|)
	d.resize(G.size());
	negative.resize(G.size());
	REP(i, d.size())d[i] = INF;
	REP(i, d.size())negative[i] = false;
	d[s] = 0;
	REP(k, G.size() - 1) {
		REP(i, G.size()) {
			REP(j, G[i].size()) {
				if (d[i] != INF && d[G[i][j].to] > d[i] + G[i][j].cap) {
					d[G[i][j].to] = d[i] + G[i][j].cap;
				}
			}
		}
	}
	REP(k, G.size() - 1) {
		REP(i, G.size()) {
			REP(j, G[i].size()) {
				if (d[i] != INF && d[G[i][j].to] > d[i] + G[i][j].cap) {
					d[G[i][j].to] = d[i] + G[i][j].cap;
					negative[G[i][j].to] = true;
				}
				if (negative[i] == true)negative[G[i][j].to] = true;
			}
		}
	}
}
Array Dijkstra(Graph& g, ll s) {//O(|E|log|V|)
	Array ret(g.size(), INF);
	ret[s] = 0;
	priority_queue<P, vector<P>, greater<P>> q;
	q.push({ ret[s], s });
	while (!q.empty()) {
		auto [d, v] = q.top();
		q.pop();
		if (ret[v] < d)continue;
		for (auto e : g[v]) {
			if (chmin(ret[e.to], ret[v] + e.cap)) q.push({ ret[e.to], e.to });
		}
	}
	return ret;
}
Matrix WarshallFloyd(Graph& g) {//O(V^3)
	Matrix ret(g.size(), Array(g.size(), INF));
	REP(i, ret.size())ret[i][i] = 0;
	REP(i, g.size()) {
		for (auto e : g[i])chmin(ret[i][e.to], e.cap);
	}
	REP(i, g.size()) {
		REP(j, g.size()) {
			REP(k, g.size()) {
				if (ret[j][i] != INF && ret[i][k] != INF)chmin(ret[j][k], ret[j][i] + ret[i][k]);
			}
		}
	}
	return ret;
}
bool tsort(Graph& graph, vector<int>& order) {//トポロジカルソートO(E+V)
	int n = graph.size();
	vector<int> in(n);
	for (auto& es : graph)
		for (auto& e : es)in[e.to]++;
	priority_queue<int, vector<int>, greater<int>> que;
	REP(i, n)
		if (in[i] == 0)que.push(i);
	while (que.size()) {
		int v = que.top();
		que.pop();
		order.push_back(v);
		for (auto& e : graph[v])
			if (--in[e.to] == 0)que.push(e.to);
	}
	if (order.size() != n)return false;
	else return true;
}
class Lca {
public:
	const int n = 0;
	const int log2_n = 0;
	std::vector<std::vector<int>> parent;
	std::vector<int> depth;

	Lca() {}

	Lca(const Graph& g, int root)
		: n(g.size()), log2_n(log2(n) + 1), parent(log2_n, std::vector<int>(n)), depth(n) {
		dfs(g, root, -1, 0);
		for (int k = 0; k + 1 < log2_n; k++) {
			for (int v = 0; v < (int)g.size(); v++) {
				if (parent[k][v] < 0)
					parent[k + 1][v] = -1;
				else
					parent[k + 1][v] = parent[k][parent[k][v]];
			}
		}
	}

	void dfs(const Graph& g, int v, int p, int d) {
		parent[0][v] = p;
		depth[v] = d;
		for (auto& e : g[v]) {
			if (e.to != p) dfs(g, e.to, v, d + 1);
		}
	}

	int get(int u, int v) {
		if (depth[u] > depth[v]) std::swap(u, v);
		for (int k = 0; k < log2_n; k++) {
			if ((depth[v] - depth[u]) >> k & 1) {
				v = parent[k][v];
			}
		}
		if (u == v) return u;
		for (int k = log2_n - 1; k >= 0; k--) {
			if (parent[k][u] != parent[k][v]) {
				u = parent[k][u];
				v = parent[k][v];
			}
		}
		return parent[0][u];
	}
};
//capには辺番号をいれること
vector<int> EulerianTrail(const int s, Graph g, const int m) {
	vector<int> used(m, 0);
	vector<int> trail;
	auto dfs = [&](auto dfs, int v)->void {
		while (g[v].size()) {
			auto e = g[v].back();
			g[v].pop_back();
			if (used[e.cap])continue;
			used[e.cap] = 1;
			dfs(dfs, e.to);
		}
		trail.push_back(v);
	};
	dfs(dfs, s);
	reverse(all(trail));
	return trail;
}


class UnionFind {
	vector<int> data;
	int n;
public:
	UnionFind(int size) : data(size, -1), n(size) { }
	bool merge(int x, int y) {//xとyの集合を統合する
		x = root(x); y = root(y);
		if (x != y) {
			if (data[y] < data[x]) swap(x, y);
			data[x] += data[y]; data[y] = x;
		}
		n -= (x != y);
		return x != y;
	}
	bool same(int x, int y) {//xとyが同じ集合か返す
		return root(x) == root(y);
	}
	int root(int x) {//xのルートを返す
		return data[x] < 0 ? x : data[x] = root(data[x]);
	}
	int size(int x) {//xの集合のサイズを返す
		return -data[root(x)];
	}
	int num() {//集合の数を返す
		return n;
	}
};

template<typename T, typename F>
class SegmentTree {
private:
	T identity;
	F merge;
	ll n;
	vector<T> dat;
public:
	SegmentTree(F f, T id, vector<T> v) :merge(f), identity(id) {
		int _n = v.size();
		n = 1;
		while (n < _n)n *= 2;
		dat.resize(2 * n - 1, identity);
		REP(i, _n)dat[n + i - 1] = v[i];
		for (int i = n - 2; i >= 0; i--)dat[i] = merge(dat[i * 2 + 1], dat[i * 2 + 2]);
	}
	SegmentTree(F f, T id, int _n) :merge(f), identity(id) {
		n = 1;
		while (n < _n)n *= 2;
		dat.resize(2 * n - 1, identity);
	}
	void set_val(int i, T x) {
		i += n - 1;
		dat[i] = x;
		while (i > 0) {
			i = (i - 1) / 2;
			dat[i] = merge(dat[i * 2 + 1], dat[i * 2 + 2]);
		}
	}
	T query(int l, int r) {
		T left = identity, right = identity;
		l += n - 1; r += n - 1;
		while (l < r) {
			if ((l & 1) == 0)left = merge(left, dat[l]);
			if ((r & 1) == 0)right = merge(dat[r - 1], right);
			l = l / 2;
			r = (r - 1) / 2;
		}
		return merge(left, right);
	}
};

template< typename T >
class FenwickTree {
	vector< T > data;
	int n;
	int p;
public:
	FenwickTree(int n) :n(n) {
		data.resize(n + 1LL, 0);
		p = 1;
		while (p < data.size())p *= 2;
	}
	T sum(int k) {
		T ret = 0;
		for (; k > 0; k -= k & -k) ret += data[k];
		return (ret);
	}

	T sum(int a, int b) { return sum(b) - sum(a); }//[a,b)

	void add(int k, T x) {
		for (++k; k <= n; k += k & -k) data[k] += x;
	}

	int lower_bound(ll w) {
		if (w <= 0)return -1;
		int x = 0;
		for (int k = p / 2; k > 0; k /= 2) {
			if (x + k <= n && data[x + k] < w)w -= data[x + k], x += k;
		}
		return x;
	}
};


template<typename T>
vector<T> divisor(T n) {
	vector<T> ret;
	for (T i = 1; i * i <= n; i++) {
		if (n % i == 0) {
			ret.push_back(i);
			if (i * i != n) ret.push_back(n / i);
		}
	}
	sort(ret.begin(), ret.end());
	return ret;
}

template<typename T>
vector<pair<T, int>> prime_factorization(T n) {
	vector<pair<T, int>> ret;
	for (T i = 2; i * i <= n; i++) {
		if (n % i == 0) {
			ret.push_back({ i,0 });
			while (n % i == 0) {
				n /= i;
				ret[ret.size() - 1].second++;
			}
		}
	}
	if (n != 1)ret.push_back({ n,1 });
	return ret;
}

inline ll mod_pow(ll x, ll n, ll mod) {
	ll res = 1;
	while (n > 0) {
		if (n & 1) res = res * x % mod;
		x = x * x % mod;
		n >>= 1;
	}
	return res;
}

inline ll mod_inv(ll x, ll mod) {
	return mod_pow(x, mod - 2, mod);
}

class Combination {
public:
	Array fact;
	Array fact_inv;
	ll mod;
	//if n >= mod use lucas 
	ll nCr(ll n, ll r) {
		if (n < r)return 0;
		if (n < mod)return ((fact[n] * fact_inv[r] % mod) * fact_inv[n - r]) % mod;

		ll ret = 1;
		while (n || r) {
			ll _n = n % mod, _r = r % mod;
			n /= mod; r /= mod;
			(ret *= nCr(_n, _r)) %= mod;
		}
		return ret;
	}
	ll nPr(ll n, ll r) {
		return (fact[n] * fact_inv[n - r]) % mod;
	}
	ll nHr(ll n, ll r) {
		return nCr(r + n - 1, r);
	}
	Combination(ll _n, ll _mod) {
		mod = _mod;
		ll n = min(_n + 1, mod);
		fact.resize(n);
		fact[0] = 1;
		REP(i, n - 1) {
			fact[i + 1] = (fact[i] * (i + 1LL)) % mod;
		}
		fact_inv.resize(n);
		fact_inv[n - 1] = mod_inv(fact[n - 1], mod);
		for (int i = n - 1; i > 0; i--) {
			fact_inv[i - 1] = fact_inv[i] * i % mod;
		}
	}
};

ll popcount(ll x) {
	x = (x & 0x5555555555555555) + (x >> 1 & 0x5555555555555555);
	x = (x & 0x3333333333333333) + (x >> 2 & 0x3333333333333333);
	x = (x & 0x0F0F0F0F0F0F0F0F) + (x >> 4 & 0x0F0F0F0F0F0F0F0F);
	x = (x & 0x00FF00FF00FF00FF) + (x >> 8 & 0x00FF00FF00FF00FF);
	x = (x & 0x0000FFFF0000FFFF) + (x >> 16 & 0x0000FFFF0000FFFF);
	x = (x & 0x00000000FFFFFFFF) + (x >> 32 & 0x00000000FFFFFFFF);

	return x;
}



constexpr ll mod = 998244353;



template <std::uint_fast64_t Modulus> class modint {
	using u64 = std::uint_fast64_t;

public:
	u64 a;

	constexpr modint(const u64 x = 0) noexcept : a(x% Modulus) {}
	constexpr u64& value() noexcept { return a; }
	constexpr const u64& value() const noexcept { return a; }
	constexpr modint operator+(const modint rhs) const noexcept {
		return modint(*this) += rhs;
	}
	constexpr modint operator-(const modint rhs) const noexcept {
		return modint(*this) -= rhs;
	}
	constexpr modint operator*(const modint rhs) const noexcept {
		return modint(*this) *= rhs;
	}
	constexpr modint operator/(const modint rhs) const noexcept {
		return modint(*this) /= rhs;
	}
	constexpr modint& operator+=(const modint rhs) noexcept {
		a += rhs.a;
		if (a >= Modulus) {
			a -= Modulus;
		}
		return *this;
	}
	constexpr modint& operator-=(const modint rhs) noexcept {
		if (a < rhs.a) {
			a += Modulus;
		}
		a -= rhs.a;
		return *this;
	}
	constexpr modint& operator*=(const modint rhs) noexcept {
		a = a * rhs.a % Modulus;
		return *this;
	}
	constexpr modint& operator/=(modint rhs) noexcept {
		u64 exp = Modulus - 2;
		while (exp) {
			if (exp % 2) {
				*this *= rhs;
			}
			rhs *= rhs;
			exp /= 2;
		}
		return *this;
	}
};

int main() {
	ios::sync_with_stdio(false);
	std::cin.tie(0);
	std::cout.tie(0);

	
	ll sq = 86583718;
	ll n;
	cin >> n;
	Array x(n), y(n);
	REP(i, n)cin >> x[i] >> y[i];
	ll sumx = accumulate(all(x), 0LL) % mod;
	ll sumy = accumulate(all(y), 0LL) % mod;
	ll ans =  sumx * sumx + sumy * sumy;
	ans %= mod;
	ans = mod - ans;
	REP(i, n)(ans += n * x[i] % mod * x[i] % mod) %= mod;
	REP(i, n)(ans += n * y[i] % mod * y[i] % mod) %= mod;

	map<ll, ll> mp;
	REP(i, n)mp[y[i]];
	ll cnt = 0;
	for (auto& [k, v] : mp) v = cnt++;
	auto f = [](ll a, ll b) {return (a + b) % mod; };
	FenwickTree<modint<mod>> ftx(cnt);
	auto fty = ftx;
	auto ftcnt = ftx;
	auto ftxy = ftx;
	Array p(n);
	iota(all(p), 0LL);
	sort(all(p), [&](ll i, ll j) {return x[i] < x[j]; });
	for (auto i : p) {
		modint<mod> tmp;
		ll num = mp[y[i]];
		tmp -= ftx.sum(0, num) * y[i];
		tmp += ftx.sum(num + 1, cnt) * y[i];
		tmp -= fty.sum(0, num) * x[i];
		tmp += fty.sum(num + 1, cnt) * x[i];


		tmp += ftxy.sum(0, num);
		tmp -= ftxy.sum(num + 1, cnt);
		tmp += ftcnt.sum(0, num) * x[i] * y[i];
		tmp -= ftcnt.sum(num + 1, cnt) * x[i] * y[i];

		ftx.add(num, x[i]);
		fty.add(num, y[i]);
		ftcnt.add(num, 1);
		ftxy.add(num, x[i] * y[i]);
		tmp *= 2;
		(ans += tmp.a) %= mod;
	}
	cout << ans << "\n";
	
	



	return 0;
}

yukicoder

結果

テストケース

ソースコード