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Submission #480134

# Submission time Handle Problem Language Result Execution time Memory
480134 2021-10-14T19:21:11 Z HamletPetrosyan Race (IOI11_race) C++17
100 / 100
 1258 ms 36496 KB 
#include "race.h"
#include <bits/stdc++.h>
using namespace std;

#define len(a) ((int)a.size())

const int N = 200005;

int ans = -1;
vector< pair<int, int> > g[N];
int sz[N], all, k;
bool used[N];

void update(int nans){
	if(ans == -1 || nans < ans){
		ans = nans;
	}
}

void sizes(int v, int p){
	sz[v] = 1;
	for(int i = 0; i < len(g[v]); i++){
		int to = g[v][i].first;
		if(to == p || used[to]) continue;
		sizes(to, v);
		sz[v] += sz[to];
	}
}

int cfind(int v, int p){
	if(p == -1){
		all = sz[v];
	}
	for(int i = 0; i < len(g[v]); i++){
		int to = g[v][i].first;
		if(to == p || used[to]) continue;
		if(sz[to] > (all / 2)) {
			return cfind(to, v);
		}
	}
	return v;
}

vector< pair<int, int> > mas;
map<int, int> mp;

void solve(int v, int p, int d, int l){
	if(p != -1){
		mas.push_back(make_pair(d, l));
	}

	if(l == k) update(d);
	if(l < k && mp.find(k - l) != mp.end()) update(mp[k - l] + d);

	for(int i = 0; i < len(g[v]); i++){
		int to = g[v][i].first, len = g[v][i].second;
		if(to == p || used[to]) continue;
		solve(to, v, d + 1, l + len);

		if(p == -1){
			for(int j = 0; j < len(mas); j++){
				int dep = mas[j].first, dis = mas[j].second;
				if(dis > k) continue;
				if(mp.find(dis) != mp.end()){
					mp[dis] = min(mp[dis], dep);
				}
				else {
					mp[dis] = dep;
				}
			}
			mas.clear();
		}
	}
}

void centroid_decomposition(){
	queue<int> q;
	q.push(1);

	while(!q.empty()){
		int v = q.front();
		q.pop();

		sizes(v, -1);
		v = cfind(v, -1);
		sizes(v, -1);

		mp.clear();
		solve(v, -1, 0, 0);

		used[v] = true;
		for(int i = 0; i < len(g[v]); i++){
			int to = g[v][i].first;
			if(used[to]) continue;
			if(sz[to] == 1) continue;
			q.push(to);
		}
	}
}

int best_path(int N, int K, int H[][2], int L[]) {
	k = K;
	for(int i = 0; i < N - 1; i++){
		int u = H[i][0], v = H[i][1], d = L[i];
		g[u].push_back(make_pair(v, d));
		g[v].push_back(make_pair(u, d));
	}	

	centroid_decomposition();

	return ans;
}

//int main(){
//	int L[] = {3, 4, 5, 4, 6, 3, 2, 5, 6, 7};
//	int H[][2] = {{0, 1}, {0, 2}, {2, 3}, {3, 4}, {4, 5}, {0, 6}, {6, 7}, {6, 8}, {8, 9}, {8, 10}};
//
//	cout << best_path(11, 12, H, L) << endl;
//	return 0;
//}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 3 ms 4964 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 4908 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 3 ms 4940 KB Output is correct
7 Correct 3 ms 4940 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 4940 KB Output is correct
12 Correct 3 ms 4940 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 3 ms 4940 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 3 ms 4940 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 3 ms 4964 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 4908 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 3 ms 4940 KB Output is correct
7 Correct 3 ms 4940 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 4940 KB Output is correct
12 Correct 3 ms 4940 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 3 ms 4940 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 3 ms 4940 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 4 ms 5068 KB Output is correct
22 Correct 4 ms 5068 KB Output is correct
23 Correct 4 ms 5068 KB Output is correct
24 Correct 4 ms 5068 KB Output is correct
25 Correct 4 ms 5068 KB Output is correct
26 Correct 4 ms 5068 KB Output is correct
27 Correct 4 ms 5068 KB Output is correct
28 Correct 5 ms 5068 KB Output is correct
29 Correct 7 ms 5068 KB Output is correct
30 Correct 4 ms 5068 KB Output is correct
31 Correct 5 ms 5068 KB Output is correct
32 Correct 4 ms 5068 KB Output is correct
33 Correct 4 ms 5068 KB Output is correct
34 Correct 4 ms 5068 KB Output is correct
35 Correct 4 ms 5068 KB Output is correct
36 Correct 4 ms 5068 KB Output is correct
37 Correct 4 ms 5068 KB Output is correct
38 Correct 6 ms 5068 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 3 ms 4964 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 4908 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 3 ms 4940 KB Output is correct
7 Correct 3 ms 4940 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 4940 KB Output is correct
12 Correct 3 ms 4940 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 3 ms 4940 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 3 ms 4940 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct
19 Correct 287 ms 10772 KB Output is correct
20 Correct 289 ms 10816 KB Output is correct
21 Correct 298 ms 10860 KB Output is correct
22 Correct 260 ms 10944 KB Output is correct
23 Correct 155 ms 11116 KB Output is correct
24 Correct 95 ms 10876 KB Output is correct
25 Correct 206 ms 17352 KB Output is correct
26 Correct 135 ms 18148 KB Output is correct
27 Correct 349 ms 15920 KB Output is correct
28 Correct 538 ms 30100 KB Output is correct
29 Correct 576 ms 28116 KB Output is correct
30 Correct 297 ms 15940 KB Output is correct
31 Correct 303 ms 16040 KB Output is correct
32 Correct 414 ms 15940 KB Output is correct
33 Correct 481 ms 15728 KB Output is correct
34 Correct 383 ms 15656 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 3 ms 4964 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 4908 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 3 ms 4940 KB Output is correct
7 Correct 3 ms 4940 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 4940 KB Output is correct
12 Correct 3 ms 4940 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 3 ms 4940 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 3 ms 4940 KB Output is correct
17 Correct 3 ms 4940 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 4 ms 5068 KB Output is correct
22 Correct 4 ms 5068 KB Output is correct
23 Correct 4 ms 5068 KB Output is correct
24 Correct 4 ms 5068 KB Output is correct
25 Correct 4 ms 5068 KB Output is correct
26 Correct 4 ms 5068 KB Output is correct
27 Correct 4 ms 5068 KB Output is correct
28 Correct 5 ms 5068 KB Output is correct
29 Correct 7 ms 5068 KB Output is correct
30 Correct 4 ms 5068 KB Output is correct
31 Correct 5 ms 5068 KB Output is correct
32 Correct 4 ms 5068 KB Output is correct
33 Correct 4 ms 5068 KB Output is correct
34 Correct 4 ms 5068 KB Output is correct
35 Correct 4 ms 5068 KB Output is correct
36 Correct 4 ms 5068 KB Output is correct
37 Correct 4 ms 5068 KB Output is correct
38 Correct 6 ms 5068 KB Output is correct
39 Correct 287 ms 10772 KB Output is correct
40 Correct 289 ms 10816 KB Output is correct
41 Correct 298 ms 10860 KB Output is correct
42 Correct 260 ms 10944 KB Output is correct
43 Correct 155 ms 11116 KB Output is correct
44 Correct 95 ms 10876 KB Output is correct
45 Correct 206 ms 17352 KB Output is correct
46 Correct 135 ms 18148 KB Output is correct
47 Correct 349 ms 15920 KB Output is correct
48 Correct 538 ms 30100 KB Output is correct
49 Correct 576 ms 28116 KB Output is correct
50 Correct 297 ms 15940 KB Output is correct
51 Correct 303 ms 16040 KB Output is correct
52 Correct 414 ms 15940 KB Output is correct
53 Correct 481 ms 15728 KB Output is correct
54 Correct 383 ms 15656 KB Output is correct
55 Correct 22 ms 5708 KB Output is correct
56 Correct 23 ms 5636 KB Output is correct
57 Correct 160 ms 11024 KB Output is correct
58 Correct 49 ms 10368 KB Output is correct
59 Correct 314 ms 21444 KB Output is correct
60 Correct 1088 ms 36496 KB Output is correct
61 Correct 361 ms 16148 KB Output is correct
62 Correct 355 ms 15984 KB Output is correct
63 Correct 512 ms 16196 KB Output is correct
64 Correct 1258 ms 20936 KB Output is correct
65 Correct 544 ms 16948 KB Output is correct
66 Correct 875 ms 28724 KB Output is correct
67 Correct 138 ms 16176 KB Output is correct
68 Correct 542 ms 20484 KB Output is correct
69 Correct 559 ms 20384 KB Output is correct
70 Correct 538 ms 19680 KB Output is correct