oj.uz

Submission #935708

# Submission time Handle Problem Language Result Execution time Memory
935708 2024-02-29T12:09:32 Z OAleksa Regions (IOI09_regions) C++14
90 / 100
 8000 ms 112468 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 = 300;
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}];
  			cout << ans << endl;
  			continue;
  		}
  		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;
  		was[{r1, r2}] = ans;
  	}
  }
  return 0;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14936 KB Output is correct
2 Correct 2 ms 14936 KB Output is correct
3 Correct 4 ms 15016 KB Output is correct
4 Correct 6 ms 15016 KB Output is correct
5 Correct 6 ms 15572 KB Output is correct
6 Correct 12 ms 15940 KB Output is correct
7 Correct 18 ms 16000 KB Output is correct
8 Correct 20 ms 15836 KB Output is correct
9 Correct 31 ms 18404 KB Output is correct
10 Correct 54 ms 19660 KB Output is correct
11 Correct 92 ms 20772 KB Output is correct
12 Correct 86 ms 22708 KB Output is correct
13 Correct 122 ms 25360 KB Output is correct
14 Correct 188 ms 27072 KB Output is correct
15 Correct 212 ms 32312 KB Output is correct

Subtask #2
75.0 / 85.0

# Verdict Execution time Memory Grader output
1 Correct 1677 ms 42124 KB Output is correct
2 Correct 1325 ms 43060 KB Output is correct
3 Correct 1620 ms 53888 KB Output is correct
4 Correct 172 ms 28564 KB Output is correct
5 Correct 260 ms 32336 KB Output is correct
6 Correct 466 ms 34644 KB Output is correct
7 Correct 553 ms 40608 KB Output is correct
8 Correct 988 ms 56248 KB Output is correct
9 Correct 1865 ms 75988 KB Output is correct
10 Execution timed out 8039 ms 84156 KB Time limit exceeded
11 Correct 3263 ms 93364 KB Output is correct
12 Correct 1222 ms 81760 KB Output is correct
13 Correct 1612 ms 84552 KB Output is correct
14 Execution timed out 8074 ms 89636 KB Time limit exceeded
15 Correct 2735 ms 101216 KB Output is correct
16 Correct 2831 ms 104740 KB Output is correct
17 Correct 5786 ms 112468 KB Output is correct