oj.uz

Submission #935688

# Submission time Handle Problem Language Result Execution time Memory
935688 2024-02-29T11:39:46 Z OAleksa Regions (IOI09_regions) C++14
90 / 100
 8000 ms 113328 KB 
#include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
const int N = 2e5 + 69;
const int R = 25069;
const int K = 17;
const int B = 450;
int n, q, r, a[N], cnt[R];
int timer, tin[N], tout[N], up[N][K];
int st[R * K * 15], lc[R * K * 15], rc[R * K * 15];
int root[N], node;
map<pair<int, int>, int> was;
vector<int> g[N], clr[R];
void modify(int v, int v1, int tl, int tr, int pos) {
	if (tl == tr)
		st[v] = st[v1] + 1;
	else {
		int mid = (tl + tr) / 2;
		if (pos <= mid) {
			lc[v] = ++node;
			rc[v] = rc[v1];
			modify(lc[v], lc[v1], tl, mid, pos);
		}
		else {
			rc[v] = ++node;
			lc[v] = lc[v1];
			modify(rc[v], rc[v1], mid + 1, tr, pos);
		}
		st[v] = st[lc[v]] + st[rc[v]];
	}
}

int get(int v, int tl, int tr, int pos) {
	if (tl == tr)
		return st[v];
	else {
		int mid = (tl + tr) / 2;
		if (pos <= mid)
			return get(lc[v], tl, mid, pos);
		else
			return get(rc[v], mid + 1, tr, pos);
	}
}

bool anc(int a, int b) {
	return tin[a] <= tin[b] && tout[a] >= tout[b];
}
int lca(int a, int b) {
	if (anc(a, b))
		return a;
	else if (anc(b, a))
		return b;
	for (int i = K - 1;i >= 0;i--) {
		if (!anc(up[a][i], b) && up[a][i] > 0)	
			a = up[a][i];
	}
	return up[a][0];
}
void dfs(int v, int p) {
	tin[v] = ++timer;
	up[v][0] = p;
	root[v] = ++node;
	modify(root[v], root[p], 1, n, a[v]);
	for (int i = 1;i < K;i++)
		up[v][i] = up[up[v][i - 1]][i - 1];
	for (auto u : g[v]) {
		if (u == p)
			continue;
		dfs(u, v);
	}
	tout[v] = timer;
}

signed main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int tt = 1;
  //cin >> tt;
  while (tt--) {
  	cin >> n >> r >> q;
  	cin >> a[1];
  	clr[a[1]].push_back(1);
  	for (int i = 2;i <= n;i++) {
  		int x;
  		cin >> x >> a[i];
  		g[x].push_back(i);
  		g[i].push_back(x);
  		cnt[a[i]]++;
  		clr[a[i]].push_back(i);
  	}
  	dfs(1, 0);
  	for (int i = 1;i <= r;i++) {
			sort(clr[i].begin(), clr[i].end(), [&](int x, int y) {
				return tin[x] < tin[y];
			});
		}
  	while (q--) {
  		int r1, r2;
  		cin >> r1 >> r2;
  		int ans = 0;
  		if (was.count({r1, r2}))
  			ans = was[{r1, r2}];
  		else if (cnt[r1] > B && cnt[r2] > B) {
  			//nadji lca i samo dfs
  			if (!clr[r1].empty()) {
  				int lc = clr[r1].front();
  				for (int i = 1;i < (int)clr[r1].size();i++)
  					lc = lca(lc, clr[r1][i]);
  				function<void(int, int, int, int, int)> dfs = [&](int v, int p, int r1, int r2, int c) {
  					if (a[v] == r2)
  						ans += c;
  					for (auto u : g[v]) {
  						if (u == p)
  							continue;
  						dfs(u, v, r1, r2, c + (a[v] == r1));
  					}
  				};
  				dfs(lc, up[lc][0], r1, r2, 0);
  			}
  		}
  		else if (cnt[r1] <= B) {
  			//binarna
  			for (auto i : clr[r1]) {
  				int m = clr[r2].size();
	  			int l = 0, r = m - 1, L = -1;
	  			while (l <= r) {
	  				int mid = (l + r) / 2;
	  				if (tin[clr[r2][mid]] >= tin[i]) {
	  					L = mid;
	  					r = mid - 1;
	  				}
	  				else
	  					l = mid + 1;
	  			}
	  			l = 0, r = m - 1;
	  			int R = -1;
	  			while (l <= r) {
	  				int mid = (l + r) / 2;
	  				if (tin[clr[r2][mid]] <= tout[i]) {
	  					R = mid;
	  					l = mid + 1;
	  				}
	  				else
	  					r = mid - 1;
	  			}
	  			if (L != -1 && R != -1)
	  				ans += R - L + 1;
  			}
  		}
  		else {
  			for (auto i : clr[r2]) 
  				ans += get(root[i], 1, n, r1);
  		}
  		//nsqrtnlogn
  		cout << ans << endl;
  		if (!was.count({r1, r2}))
  			was[{r1, r2}] = ans;
  	}
  }
  return 0;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14936 KB Output is correct
2 Correct 2 ms 14936 KB Output is correct
3 Correct 3 ms 15008 KB Output is correct
4 Correct 5 ms 15268 KB Output is correct
5 Correct 6 ms 15304 KB Output is correct
6 Correct 11 ms 15936 KB Output is correct
7 Correct 16 ms 15412 KB Output is correct
8 Correct 28 ms 16008 KB Output is correct
9 Correct 27 ms 18868 KB Output is correct
10 Correct 51 ms 19112 KB Output is correct
11 Correct 72 ms 19836 KB Output is correct
12 Correct 111 ms 22632 KB Output is correct
13 Correct 125 ms 22968 KB Output is correct
14 Correct 178 ms 25740 KB Output is correct
15 Correct 221 ms 32308 KB Output is correct

Subtask #2
75.0 / 85.0

# Verdict Execution time Memory Grader output
1 Correct 1313 ms 42740 KB Output is correct
2 Correct 1368 ms 43448 KB Output is correct
3 Correct 1643 ms 54088 KB Output is correct
4 Correct 192 ms 26904 KB Output is correct
5 Correct 273 ms 32524 KB Output is correct
6 Correct 476 ms 34480 KB Output is correct
7 Correct 559 ms 40136 KB Output is correct
8 Correct 1147 ms 55688 KB Output is correct
9 Correct 1791 ms 76020 KB Output is correct
10 Execution timed out 8042 ms 85992 KB Time limit exceeded
11 Correct 3241 ms 93672 KB Output is correct
12 Correct 1164 ms 81976 KB Output is correct
13 Correct 1679 ms 84684 KB Output is correct
14 Execution timed out 8061 ms 88616 KB Time limit exceeded
15 Correct 2694 ms 101400 KB Output is correct
16 Correct 2781 ms 101812 KB Output is correct
17 Correct 6478 ms 113328 KB Output is correct