結果

問題 No.1649 Manhattan Square
ユーザー 杨娵隅杨娵隅
提出日時 2021-08-21 22:20:43
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 495 ms / 3,000 ms
コード長 2,619 bytes
コンパイル時間 5,082 ms
コンパイル使用メモリ 241,920 KB
実行使用メモリ 27,976 KB
最終ジャッジ日時 2024-04-23 13:19:54
合計ジャッジ時間 21,819 ms
ジャッジサーバーID
(参考情報)
judge4 / 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
5,248 KB
testcase_01 AC 3 ms
5,248 KB
testcase_02 AC 6 ms
5,248 KB
testcase_03 AC 7 ms
5,376 KB
testcase_04 AC 6 ms
5,376 KB
testcase_05 AC 6 ms
5,376 KB
testcase_06 AC 9 ms
5,376 KB
testcase_07 AC 429 ms
27,820 KB
testcase_08 AC 391 ms
27,780 KB
testcase_09 AC 388 ms
27,796 KB
testcase_10 AC 399 ms
27,796 KB
testcase_11 AC 396 ms
27,936 KB
testcase_12 AC 249 ms
12,784 KB
testcase_13 AC 337 ms
19,000 KB
testcase_14 AC 286 ms
16,532 KB
testcase_15 AC 313 ms
17,636 KB
testcase_16 AC 237 ms
11,864 KB
testcase_17 AC 236 ms
12,112 KB
testcase_18 AC 219 ms
10,124 KB
testcase_19 AC 288 ms
16,976 KB
testcase_20 AC 250 ms
13,008 KB
testcase_21 AC 325 ms
19,016 KB
testcase_22 AC 400 ms
27,976 KB
testcase_23 AC 398 ms
27,972 KB
testcase_24 AC 394 ms
27,972 KB
testcase_25 AC 384 ms
27,844 KB
testcase_26 AC 409 ms
27,848 KB
testcase_27 AC 399 ms
27,848 KB
testcase_28 AC 391 ms
27,844 KB
testcase_29 AC 389 ms
27,972 KB
testcase_30 AC 393 ms
27,844 KB
testcase_31 AC 392 ms
27,844 KB
testcase_32 AC 397 ms
27,972 KB
testcase_33 AC 380 ms
27,972 KB
testcase_34 AC 391 ms
27,848 KB
testcase_35 AC 387 ms
27,844 KB
testcase_36 AC 390 ms
27,968 KB
testcase_37 AC 390 ms
27,844 KB
testcase_38 AC 395 ms
27,844 KB
testcase_39 AC 396 ms
27,844 KB
testcase_40 AC 398 ms
27,844 KB
testcase_41 AC 495 ms
27,848 KB
testcase_42 AC 239 ms
27,844 KB
testcase_43 AC 2 ms
5,376 KB
testcase_44 AC 2 ms
5,376 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"
#include "atcoder/all"
using namespace std;
using namespace atcoder;
//using mint = modint1000000007;
//const int mod = 1000000007;
using mint = modint998244353;
//const int mod = 998244353;
//const int INF = 1e9;
//const long long LINF = 1e18;
//const bool debug = false;
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rep2(i,l,r)for(int i=(l);i<(r);++i)
#define rrep(i, n) for (int i = (n-1); i >= 0; --i)
#define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i)
#define all(x) (x).begin(),(x).end()
#define allR(x) (x).rbegin(),(x).rend()
#define endl "\n"
#define P pair<long long,long long>
template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; }
struct ele {
	mint c, x, y, xy;
	ele() :c(0), x(0), y(0), xy(0) {}
	ele(mint _c, mint _x, mint _y, mint _xy) :c(_c), x(_x), y(_y), xy(_xy) {}
	ele operator+(const ele &other) {
		ele ret;
		ret.c = c + other.c;
		ret.x = x + other.x;
		ret.y = y + other.y;
		ret.xy = xy + other.xy;
		return ret;
	}

};
ele op(ele a, ele b) {return a + b;}
ele e() {
	ele c;
	return c;
}
map<int, int> Compless(const vector<int> &v) {
	vector<int>vv = v;
	sort(all(vv));
	vv.erase(unique(all(vv)), vv.end());
	map<int, int>mp;
	rep(i, vv.size()) { mp[vv[i]] = i; }
	return mp;
}
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int n; cin >> n;
	vector<P>xy(n);
	rep(i, n)cin >> xy[i].first >> xy[i].second;
	mint sumx = 0, sumy = 0;
	rep(i, n) {
		sumx += xy[i].first;
		sumy += xy[i].second;
	}
	mint ans = 0;
	rep(i, n) {
		ans += xy[i].first * xy[i].first;
		ans += xy[i].second * xy[i].second;
	}
	ans *= n;
	ans -= sumx * sumx + sumy * sumy;
	sort(all(xy));
	vector<int>copyy(n);
	rep(i, n)copyy[i] = xy[i].second;
	auto mp = Compless(copyy);
	int sz = mp.size();
	segtree<ele, op, e>seg(sz);
	mint anssub = 0;
	rep(i, n) {
		int idx = mp[xy[i].second];
		{
			// r
			ele now = seg.prod(idx, sz);
			anssub -= now.c*xy[i].first * xy[i].second;
			anssub -= now.xy;
			anssub += now.y * xy[i].first;
			anssub += now.x * xy[i].second;
		}
		{
			// l
			ele now = seg.prod(0, idx);
			anssub += now.c*xy[i].first * xy[i].second;
			anssub += now.xy;
			anssub -= now.y * xy[i].first;
			anssub -= now.x * xy[i].second;
		}
		{ 
			// update
			ele bef = seg.get(idx);
			ele add(1,xy[i].first,xy[i].second,xy[i].first*xy[i].second);
			ele aft = bef + add;
			seg.set(idx, aft);
		}
	}
	ans += anssub * 2;
	cout << ans.val() << endl;
	return 0;
}
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