oj.uz

Submission #935699

# Submission time Handle Problem Language Result Execution time Memory
935699 2024-02-29T11:53:10 Z OAleksa Regions (IOI09_regions) C++14
80 / 100
 8000 ms 113216 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 = 250;
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, l[R];
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;
	clr[a[v]].push_back(v);
	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];
  	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]]++;
  	}
  	dfs(1, 0);
  	for (int i = 1;i <= r;i++) {
			if (!clr[i].empty()) {
				l[i] = clr[i].front();
				for (int j = 1;j < (int)clr[i].size();j++)
					l[i] = lca(l[i], clr[i][j]);
			}
		}
  	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()) {
  				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(l[r1], up[l[r1]][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 4 ms 14936 KB Output is correct
2 Correct 3 ms 14936 KB Output is correct
3 Correct 4 ms 15012 KB Output is correct
4 Correct 4 ms 15276 KB Output is correct
5 Correct 9 ms 15336 KB Output is correct
6 Correct 15 ms 15668 KB Output is correct
7 Correct 27 ms 16028 KB Output is correct
8 Correct 22 ms 16348 KB Output is correct
9 Correct 33 ms 18824 KB Output is correct
10 Correct 59 ms 19176 KB Output is correct
11 Correct 90 ms 20504 KB Output is correct
12 Correct 93 ms 23136 KB Output is correct
13 Correct 145 ms 25096 KB Output is correct
14 Correct 190 ms 27164 KB Output is correct
15 Correct 232 ms 32376 KB Output is correct

Subtask #2
65.0 / 85.0

# Verdict Execution time Memory Grader output
1 Correct 2027 ms 41840 KB Output is correct
2 Execution timed out 8015 ms 41412 KB Time limit exceeded
3 Correct 1959 ms 53728 KB Output is correct
4 Correct 196 ms 28688 KB Output is correct
5 Correct 278 ms 32964 KB Output is correct
6 Correct 481 ms 34564 KB Output is correct
7 Correct 578 ms 40792 KB Output is correct
8 Correct 1494 ms 56028 KB Output is correct
9 Correct 2215 ms 76192 KB Output is correct
10 Execution timed out 8005 ms 84264 KB Time limit exceeded
11 Execution timed out 8019 ms 81168 KB Time limit exceeded
12 Correct 1305 ms 81236 KB Output is correct
13 Correct 1810 ms 84412 KB Output is correct
14 Execution timed out 8069 ms 87924 KB Time limit exceeded
15 Correct 3563 ms 100864 KB Output is correct
16 Correct 3552 ms 104932 KB Output is correct
17 Correct 6435 ms 113216 KB Output is correct