oj.uz

Submission #269795

# Submission time Handle Problem Language Result Execution time Memory
269795 2020-08-17T10:22:44 Z shivensinha4 Race (IOI11_race) C++17
21 / 100
 3000 ms 188444 KB 
#include <bits/stdc++.h> 
//#include "race.h"
using namespace std; 
#define for_(i, s, e) for (int i = s; i < e; i++)
#define for__(i, s, e) for (ll i = s; i < e; i++)
#define SSTR(x) static_cast<std::ostringstream&>((std::ostringstream() << std::dec << x)).str()
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> ii;
//#define endl '\n'

int n, k, l, timer = 0;
vector<vector<pair<int, ll>>> adjList;
vi removed, subtreeSize, centroid, tin, tout;
vector<map<ll, vector<ii>>> paths; // {length, {child, roads}}
vector<vi> up; vector<vector<ll>> upDist;
int ans = 1e9;

int dfs(int p, int parent) {
	int s = 1;
	tin[p] = ++timer;
	
	for_(i, 1, l+1) {
		up[p][i] = up[up[p][i-1]][i-1];
		upDist[p][i] = upDist[p][i-1] + upDist[up[p][i-1]][i-1];
	}
		
	for (auto i: adjList[p]) if (i.first != parent) {
		up[i.first][0] = p;
		upDist[i.first][0] = i.second;
		s += dfs(i.first, p);
	}
	
	subtreeSize[p] = s;
	tout[p] = ++timer;
	return s;
}

bool is_ancestor(int u, int v) {
	return tin[u] <= tin[v] && tout[u] >= tout[v];
}


int lca(int u, int v) {
	if (is_ancestor(u, v)) return u;
	if (is_ancestor(v, u)) return v;
	for (int i = l; i >= 0; --i) if (!is_ancestor(up[u][i], v)) u = up[u][i];
	
	return up[u][0];
}

// {distance, edges}
pair<ll, int> ancDist(int u, int anc) {
	if (u == anc) return {0, 0};
	
	ll dist = 0, edges = 0;
	for (int i = l; i >= 0; --i) if (!is_ancestor(up[u][i], anc)) {
		dist += upDist[u][i];
		edges += (1 << i);
		u = up[u][i];
	}
	
	return {dist + upDist[u][0], edges+1};
}

pair<ll, int> dist(int u, int v) {
	int lc = lca(u, v);
	ii a = ancDist(u, lc), b = ancDist(v, lc);
	return {a.first + b.first, a.second + b.second};
}

void decompose(int p, int c) {
	int invalidChild = -1, sizeLimit = (subtreeSize[p] >> 1);
	for (auto i: adjList[p]) if (!removed[i.first] and subtreeSize[i.first] > sizeLimit) {
		invalidChild = i.first;
		break;
	}
	
	if (invalidChild != -1) {
		subtreeSize[p] -= subtreeSize[invalidChild];
		subtreeSize[invalidChild] += subtreeSize[p];
		return decompose(invalidChild, c);
	}
	
	removed[p] = true;
	centroid[p] = c;
	for (auto i: adjList[p]) if (!removed[i.first]) {
		centroid[i.first] = p;
		decompose(i.first, p);
	}
}

void updateParents(int p) {
	int a = p, b = centroid[p];
	while (b != -1) {
		ii d = dist(p, b);
		paths[b][d.first].push_back({d.second, a});
		a = b; b = centroid[b];
	}
}

void solve(int p) {
	int a = p, b = centroid[p];
	while (b != -1) {
		ii d = dist(p, b);
		for (auto o: paths[b][k-d.first]) if (o.second != a) {
			ans = min(ans, o.first + d.second);
			break;
		}
		a = b; b = centroid[b];
	}
}

int best_path(int N, int K, int H[][2], int L[]) {
	n = N, k = K;
	adjList.resize(n); subtreeSize.resize(n); removed.resize(n); paths.resize(n); centroid.resize(n, -1); tin.resize(n); tout.resize(n); up.resize(n);
	l = ceil(log2(n));
	up.assign(n, vi(l+1)); upDist.assign(n, vector<ll>(l+1));
	for_(i, 0, n-1) {
		int a, b; ll w; a = H[i][0], b = H[i][1]; w = L[i];
		adjList[a].push_back({b, w});
		adjList[b].push_back({a, w});
	}
	
	dfs(0, 0);
	decompose(0, -1);
	
	for_(i, 0, n) updateParents(i);
	
	for_(i, 0, n) {
		paths[i][0].push_back({0, -1});
		for (auto o: paths[i]) if (o.second.size() > 1) {
			sort(paths[i][o.first].begin(), paths[i][o.first].begin()+2);
		}
	}
	
	for_(i, 0, n) solve(i);
	
	return (ans == 1e9 ? -1 : ans);
}

//int main() {
	//#ifndef ONLINE_JUDGE
	//freopen("test.in", "r", stdin);
	//#endif
	
	//ios_base::sync_with_stdio(false);
	//cin.tie(0);
	
	//int H[100000][2], L[100000];
	//int N, K;
	//cin >> N >> K;
	//for_(i, 0, N-1) {
		//int a, b; ll w; cin >> a >> b >> w;
		//H[i][0] = a; H[i][1] = b;
		//L[i] = w;
	//}
	
	//cout << best_path(N, K, H, L) << endl;

	//return 0;
//}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 512 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 512 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 416 KB Output is correct
21 Correct 6 ms 1408 KB Output is correct
22 Correct 7 ms 1920 KB Output is correct
23 Correct 8 ms 1920 KB Output is correct
24 Correct 7 ms 1664 KB Output is correct
25 Correct 10 ms 1664 KB Output is correct
26 Correct 5 ms 1664 KB Output is correct
27 Correct 3 ms 1024 KB Output is correct
28 Correct 6 ms 1664 KB Output is correct
29 Correct 6 ms 1664 KB Output is correct
30 Correct 7 ms 1664 KB Output is correct
31 Correct 6 ms 1664 KB Output is correct
32 Correct 6 ms 1792 KB Output is correct
33 Correct 7 ms 1920 KB Output is correct
34 Correct 7 ms 1920 KB Output is correct
35 Correct 9 ms 1920 KB Output is correct
36 Correct 7 ms 1792 KB Output is correct
37 Correct 7 ms 1792 KB Output is correct
38 Correct 7 ms 1920 KB Output is correct

Subtask #3
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 512 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 2170 ms 111244 KB Output is correct
20 Correct 1902 ms 111352 KB Output is correct
21 Correct 1815 ms 108756 KB Output is correct
22 Correct 1628 ms 103592 KB Output is correct
23 Correct 2984 ms 188444 KB Output is correct
24 Correct 1164 ms 98076 KB Output is correct
25 Execution timed out 3104 ms 91156 KB Time limit exceeded
26 Halted 0 ms 0 KB -

Subtask #4
0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 512 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 416 KB Output is correct
21 Correct 6 ms 1408 KB Output is correct
22 Correct 7 ms 1920 KB Output is correct
23 Correct 8 ms 1920 KB Output is correct
24 Correct 7 ms 1664 KB Output is correct
25 Correct 10 ms 1664 KB Output is correct
26 Correct 5 ms 1664 KB Output is correct
27 Correct 3 ms 1024 KB Output is correct
28 Correct 6 ms 1664 KB Output is correct
29 Correct 6 ms 1664 KB Output is correct
30 Correct 7 ms 1664 KB Output is correct
31 Correct 6 ms 1664 KB Output is correct
32 Correct 6 ms 1792 KB Output is correct
33 Correct 7 ms 1920 KB Output is correct
34 Correct 7 ms 1920 KB Output is correct
35 Correct 9 ms 1920 KB Output is correct
36 Correct 7 ms 1792 KB Output is correct
37 Correct 7 ms 1792 KB Output is correct
38 Correct 7 ms 1920 KB Output is correct
39 Correct 2170 ms 111244 KB Output is correct
40 Correct 1902 ms 111352 KB Output is correct
41 Correct 1815 ms 108756 KB Output is correct
42 Correct 1628 ms 103592 KB Output is correct
43 Correct 2984 ms 188444 KB Output is correct
44 Correct 1164 ms 98076 KB Output is correct
45 Execution timed out 3104 ms 91156 KB Time limit exceeded
46 Halted 0 ms 0 KB -