Submission #370317

#	Time	Username	Problem	Language	Result	Execution time	Memory
370317		NachoLibre	Ideal city (IOI12_city)	C++17	100 / 100	149 ms	20200 KiB

city

#include <bits/stdc++.h>
using namespace std;
#define sz(a) ((int)(a).size())
typedef vector<int> vint;
typedef vector<vint> vvint;
#ifndef wambule
// #include ".h"
#else
#endif

const int mod = 1e9;
const int N = 100005;
long long dr;
vector<int> u[2][N];
int g, w[2], gn, z[2][N];
bool bh[2][N];
int G(int x) {
	// cout << "[+] " << x << endl;
	bh[g][x] = 1;
	int r = z[g][x];
	for(int z : u[g][x]) {
		if(!bh[g][z]) r += G(z);
	}
	dr += 1ll * r * (gn - r);
	// cout << "[-] " << x << endl;
	return r;
}

int DistanceSum(int n, int *x, int *y) {
	gn = n;
	for(int i = 1; i <= n; ++i) {
		u[0][i].clear();
		u[1][i].clear();
		z[0][i] = 0;
		z[1][i] = 0;
		bh[0][i] = 0;
		bh[1][i] = 0;
	}
	vector<pair<int, int>> v;
	for(int i = 0; i < n; ++i) {
		v.push_back({x[i], y[i]});
	}
	g = w[0] = 0;
	map<pair<int, int>, int> ma;
	sort(v.begin(), v.end());
	for(int i = 0; i < sz(v); ++i) {
		if(!i || (i && v[i].second > v[i - 1].second + 1) || (i && v[i].first > v[i - 1].first)) ++w[g];
		if(int a = ma[{v[i].first - 1, v[i].second}]) {
			u[g][a].push_back(w[g]);
			u[g][w[g]].push_back(a);
		}
		ma[{v[i].first, v[i].second}] = w[g];
		++z[g][w[g]];
	}
	for(int i = 0; i < sz(v); ++i) {
		swap(v[i].first, v[i].second);
	}
	g = 1; w[1] = 0;
	ma.clear();
	sort(v.begin(), v.end());
	for(int i = 0; i < sz(v); ++i) {
		if(!i || (i && v[i].second > v[i - 1].second + 1) || (i && v[i].first > v[i - 1].first)) ++w[g];
		if(int a = ma[{v[i].first - 1, v[i].second}]) {
			u[g][a].push_back(w[g]);
			u[g][w[g]].push_back(a);
		}
		ma[{v[i].first, v[i].second}] = w[g];
		++z[g][w[g]];
	}
	// cout << "| - [ 0 ] - |" << endl;
	dr = g = 0;
	G(1);
	// cout << "| - [ 1 ] - |" << endl;
	G(g = 1);
	return dr % mod;
}

#ifdef wambule
int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	int n = 11;
	int x[] = {2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5};
	int y[] = {5, 6, 3, 6, 3, 4, 5, 6, 3, 4, 6};
	cout << DistanceSum(n, x, y) << endl;
	return 0;
}
#endif

• Subtask 1: 11 / 11
• Subtask 2: 21 / 21
• Subtask 3: 23 / 23
• Subtask 4: 45 / 45