Submission #715755

# Submission time Handle Problem Language Result Execution time Memory
715755 2023-03-27T19:21:35 Z lukameladze Ideal city (IOI12_city) C++14
100 / 100
136 ms 68324 KB
#include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
//#define int long long
#define pii pair <int, int>
#define pb push_back
const int N = 3e5 + 5, inf = 1e9, mod = 1e9;
int n, x[N], y[N], mnx, mny, nx, ny;
long long ans,sz[N];
vector <int> vx[N], vy[N],v[N];
map <int, int> vert[N], vert1[N];
void dfs(int a, int p) {
	for (int to : v[a]) {
		if (to == p) continue;
		dfs(to, a);
		sz[a] += sz[to];
	}
	ans += sz[a] * (n - sz[a]) % mod; ans %= mod;
}
int DistanceSum(int N, int *X, int *Y) {
	n = N;
	int mnx = inf, mny = inf; 
	for (int i = 1; i <= n; i++) {
		x[i] = X[i - 1]; y[i] = Y[i - 1];
		mnx = min(mnx, x[i]); mny = min(mny, y[i]);
	} 
	for (int i = 1; i <= n; i++) {
		x[i] -= mnx; y[i] -= mny;
		nx = max(nx, x[i]); ny = max(ny, y[i]);
	}
	for (int i = 1; i <= n; i++) {
		vx[x[i]].pb(y[i]);
	}
	int cnt = 0;
	for (int i = 0; i <= nx; i++) { 
		sort(vx[i].begin(), vx[i].end());
		for (int j = 0; j < vx[i].size(); j++) {
			int cy = vx[i][j];
			
			if (j == 0 || cy != vx[i][j - 1] + 1) cnt++;
			sz[cnt]++;
			vert[i][cy] = cnt;
		}
	}
	for (int i = 1; i <= nx; i++) {
		for (int j = 0; j < vx[i].size(); j++) {
			int cy = vx[i][j];
			if (vert[i - 1][cy]) {
				int a = vert[i - 1][cy]; int b = vert[i][cy];
				if (v[a].size() && v[a].back() == b) continue;
				v[a].pb(b); v[b].pb(a);
			}
		}
	}
	dfs(1, 0);
	for (int i = 1; i <= cnt; i++) {
		v[i].clear(); sz[i] = 0;
	}
	for (int i = 1; i <= n; i++) {
		vy[y[i]].pb(x[i]);
	}
	cnt = 0;
	for (int i = 0; i <= ny; i++) {
		sort(vy[i].begin(), vy[i].end());
		for (int j = 0; j < vy[i].size(); j++) {
			int cx = vy[i][j];
			if (j == 0 || cx != vy[i][j - 1] + 1) cnt++;
			sz[cnt]++;
			vert1[cx][i] = cnt;
		}
	}
	for (int i = 1; i <= ny; i++) {
		for (int j = 0; j < vy[i].size(); j++) {
			int cx = vy[i][j];
			if (vert1[cx][i - 1]) {
				int a = vert1[cx][i - 1]; int b = vert1[cx][i];
				if (v[a].size() && v[a].back() == b) continue;
				v[a].pb(b); v[b].pb(a);
			}
		}
	}
	dfs(1, 0);
	return ans;
}

Compilation message

city.cpp: In function 'int DistanceSum(int, int*, int*)':
city.cpp:38:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   38 |   for (int j = 0; j < vx[i].size(); j++) {
      |                   ~~^~~~~~~~~~~~~~
city.cpp:47:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   47 |   for (int j = 0; j < vx[i].size(); j++) {
      |                   ~~^~~~~~~~~~~~~~
city.cpp:66:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   66 |   for (int j = 0; j < vy[i].size(); j++) {
      |                   ~~^~~~~~~~~~~~~~
city.cpp:74:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   74 |   for (int j = 0; j < vy[i].size(); j++) {
      |                   ~~^~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 26 ms 49620 KB Output is correct
2 Correct 26 ms 49624 KB Output is correct
3 Correct 24 ms 49628 KB Output is correct
4 Correct 24 ms 49608 KB Output is correct
5 Correct 23 ms 49628 KB Output is correct
6 Correct 23 ms 49608 KB Output is correct
7 Correct 22 ms 49620 KB Output is correct
8 Correct 23 ms 49624 KB Output is correct
9 Correct 24 ms 49616 KB Output is correct
10 Correct 24 ms 49644 KB Output is correct
11 Correct 23 ms 49668 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 26 ms 49816 KB Output is correct
2 Correct 25 ms 49748 KB Output is correct
3 Correct 24 ms 49768 KB Output is correct
4 Correct 24 ms 49860 KB Output is correct
5 Correct 25 ms 49952 KB Output is correct
6 Correct 25 ms 49888 KB Output is correct
7 Correct 26 ms 50004 KB Output is correct
8 Correct 28 ms 50040 KB Output is correct
9 Correct 28 ms 49936 KB Output is correct
10 Correct 30 ms 49844 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 36 ms 52300 KB Output is correct
2 Correct 34 ms 52300 KB Output is correct
3 Correct 56 ms 56096 KB Output is correct
4 Correct 50 ms 56204 KB Output is correct
5 Correct 96 ms 62808 KB Output is correct
6 Correct 81 ms 62828 KB Output is correct
7 Correct 85 ms 63100 KB Output is correct
8 Correct 83 ms 62692 KB Output is correct
9 Correct 79 ms 62668 KB Output is correct
10 Correct 82 ms 66524 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 40 ms 53324 KB Output is correct
2 Correct 40 ms 52948 KB Output is correct
3 Correct 70 ms 58768 KB Output is correct
4 Correct 77 ms 57880 KB Output is correct
5 Correct 136 ms 67940 KB Output is correct
6 Correct 106 ms 64792 KB Output is correct
7 Correct 125 ms 68324 KB Output is correct
8 Correct 127 ms 64976 KB Output is correct
9 Correct 114 ms 64292 KB Output is correct
10 Correct 107 ms 64076 KB Output is correct