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Submission #768512

# Submission time Handle Problem Language Result Execution time Memory
768512 2023-06-28T08:20:32 Z parsadox2 LOSTIKS (INOI20_lostiks) C++14
100 / 100
 1238 ms 409264 KB 
#include <bits/stdc++.h>
#define pb 		push_back
#define F		first
#define S 		second
#define debug(x)    cout << #x << "= " << x << ", "
#define ll 		long long
#define fast 		ios::sync_with_stdio(false), cin.tie(0),  cout.tie(0)
#define SZ(x)         (int) x.size()
#define wall 		cout << endl;
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const int maxn = 1e6 + 10 , maxm = 21 , inf = 1e9;
int n , key[maxm] , s , t , t_path[maxm] , door[maxm] , par[maxm][maxn] , dis[maxn] , path[maxm][maxm];
int mask[maxn] , dp[maxm][(1 << maxm)] , ps;
struct edge{
	int v , lock;
};

vector <edge> adj[maxn];
void dfs(int v)
{
	for(auto u : adj[v])  if(u.v != par[0][v])
	{
		par[0][u.v] = v;
		dis[u.v] = dis[v] + 1;
		mask[u.v] = mask[v];
		if(u.lock != -1) 
		{
			door[u.lock] = v;
			mask[u.v] |= (1 << u.lock);
		}
		dfs(u.v);
	}
}

int lca(int a , int b)
{
	if(dis[a] < dis[b])  swap(a , b);
	for(int i = 0 ; i < maxm ; i++)  if(((dis[a] - dis[b]) >> i) & 1)  a = par[i][a];
	if(a == b)  return a;
	for(int i = maxm - 1 ; i > -1 ; i--)  if(par[i][a] != par[i][b])
	{
		a = par[i][a];  b = par[i][b];
	}
	return par[0][a];
}

void solve(int v , int msk)
{
	if(dp[v][msk] != -1)  return;
	if(!(mask[t] & msk))
	{
		dp[v][msk] = t_path[v];
		return;
	}
	dp[v][msk] = inf;
	for(int i = 0 ; i < ps ; i++)  if(((msk >> i) & 1))
	{
		int tmask = (mask[key[i]] | mask[door[i]]);
		if(!(tmask & msk))
		{
			solve(i , (msk ^ (1 << i)));
			dp[v][msk] = min(dp[v][msk] , dp[i][(msk ^ (1 << i))] + path[v][i]);
		}
	}
}

int32_t main()
{
	fast;
	cin >> n;
	cin >> s >> t;
	for(int i = 0 ; i < n - 1 ; i++)
	{
		int v , u , w;  cin >> v >> u >> w;
		int tmp = -1;
		if(w != 0)
		{
			tmp = ps;
			key[ps] = w;
			ps++;
		}
		adj[v].pb({u , tmp});  adj[u].pb({v , tmp});
	}
	door[ps] = s;
	dfs(s);
	for(int i = 1 ; i < maxm ; i++)
		for(int j = 1 ; j <= n ; j++)
			par[i][j] = par[i - 1][par[i - 1][j]];
	for(int i = 0 ; i <= ps ; i++)  for(int j = 0 ; j < ps ; j++)  if(i != j)
	{
		path[i][j] = dis[door[i]] + dis[key[j]] + dis[key[j]] + dis[door[j]];
		int l1 = lca(door[i] , key[j]) , l2 = lca(door[j] , key[j]);
		path[i][j] -= (dis[l1] + dis[l2] + dis[l2] + dis[l1]);
	}
	for(int i = 0 ; i <= ps ; i++)
	{
		int l = lca(t , door[i]);  t_path[i] = dis[door[i]] + dis[t] - dis[l] - dis[l];
	}
	memset(dp , -1 , sizeof dp);
	solve(ps , (1 << ps) - 1);
	cout << (dp[ps][(1 << ps) - 1] == inf ? -1 : dp[ps][(1 << ps) - 1]) << endl;
	return 0;
}

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 196300 KB Output is correct
2 Correct 71 ms 196320 KB Output is correct
3 Correct 117 ms 209164 KB Output is correct
4 Correct 99 ms 209244 KB Output is correct
5 Correct 100 ms 209236 KB Output is correct
6 Correct 98 ms 209248 KB Output is correct
7 Correct 98 ms 209356 KB Output is correct
8 Correct 101 ms 209340 KB Output is correct
9 Correct 102 ms 209528 KB Output is correct
10 Correct 98 ms 209312 KB Output is correct
11 Correct 98 ms 209292 KB Output is correct
12 Correct 121 ms 210704 KB Output is correct
13 Correct 110 ms 210356 KB Output is correct
14 Correct 108 ms 209900 KB Output is correct
15 Correct 98 ms 210896 KB Output is correct
16 Correct 98 ms 212972 KB Output is correct
17 Correct 101 ms 212968 KB Output is correct
18 Correct 109 ms 213376 KB Output is correct
19 Correct 101 ms 217448 KB Output is correct
20 Correct 121 ms 217292 KB Output is correct
21 Correct 101 ms 217124 KB Output is correct
22 Correct 67 ms 196300 KB Output is correct
23 Correct 66 ms 196316 KB Output is correct
24 Correct 65 ms 196348 KB Output is correct
25 Correct 66 ms 196332 KB Output is correct
26 Correct 64 ms 196280 KB Output is correct

Subtask #2
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 196244 KB Output is correct
2 Correct 75 ms 196260 KB Output is correct
3 Correct 67 ms 196264 KB Output is correct
4 Correct 69 ms 196300 KB Output is correct
5 Correct 68 ms 197220 KB Output is correct
6 Correct 69 ms 197212 KB Output is correct
7 Correct 72 ms 197128 KB Output is correct
8 Correct 71 ms 197188 KB Output is correct
9 Correct 68 ms 197244 KB Output is correct
10 Correct 73 ms 197176 KB Output is correct
11 Correct 75 ms 197196 KB Output is correct
12 Correct 74 ms 197192 KB Output is correct
13 Correct 78 ms 197172 KB Output is correct
14 Correct 67 ms 197224 KB Output is correct
15 Correct 65 ms 197196 KB Output is correct
16 Correct 69 ms 197328 KB Output is correct
17 Correct 66 ms 197188 KB Output is correct
18 Correct 75 ms 197316 KB Output is correct
19 Correct 76 ms 197344 KB Output is correct
20 Correct 67 ms 197384 KB Output is correct
21 Correct 67 ms 197424 KB Output is correct
22 Correct 73 ms 197708 KB Output is correct
23 Correct 66 ms 197640 KB Output is correct
24 Correct 68 ms 197708 KB Output is correct
25 Correct 1238 ms 196344 KB Output is correct

Subtask #3
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 196300 KB Output is correct
2 Correct 71 ms 196320 KB Output is correct
3 Correct 117 ms 209164 KB Output is correct
4 Correct 99 ms 209244 KB Output is correct
5 Correct 100 ms 209236 KB Output is correct
6 Correct 98 ms 209248 KB Output is correct
7 Correct 98 ms 209356 KB Output is correct
8 Correct 101 ms 209340 KB Output is correct
9 Correct 102 ms 209528 KB Output is correct
10 Correct 98 ms 209312 KB Output is correct
11 Correct 98 ms 209292 KB Output is correct
12 Correct 121 ms 210704 KB Output is correct
13 Correct 110 ms 210356 KB Output is correct
14 Correct 108 ms 209900 KB Output is correct
15 Correct 98 ms 210896 KB Output is correct
16 Correct 98 ms 212972 KB Output is correct
17 Correct 101 ms 212968 KB Output is correct
18 Correct 109 ms 213376 KB Output is correct
19 Correct 101 ms 217448 KB Output is correct
20 Correct 121 ms 217292 KB Output is correct
21 Correct 101 ms 217124 KB Output is correct
22 Correct 67 ms 196300 KB Output is correct
23 Correct 66 ms 196316 KB Output is correct
24 Correct 65 ms 196348 KB Output is correct
25 Correct 66 ms 196332 KB Output is correct
26 Correct 64 ms 196280 KB Output is correct
27 Correct 66 ms 196244 KB Output is correct
28 Correct 75 ms 196260 KB Output is correct
29 Correct 67 ms 196264 KB Output is correct
30 Correct 69 ms 196300 KB Output is correct
31 Correct 68 ms 197220 KB Output is correct
32 Correct 69 ms 197212 KB Output is correct
33 Correct 72 ms 197128 KB Output is correct
34 Correct 71 ms 197188 KB Output is correct
35 Correct 68 ms 197244 KB Output is correct
36 Correct 73 ms 197176 KB Output is correct
37 Correct 75 ms 197196 KB Output is correct
38 Correct 74 ms 197192 KB Output is correct
39 Correct 78 ms 197172 KB Output is correct
40 Correct 67 ms 197224 KB Output is correct
41 Correct 65 ms 197196 KB Output is correct
42 Correct 69 ms 197328 KB Output is correct
43 Correct 66 ms 197188 KB Output is correct
44 Correct 75 ms 197316 KB Output is correct
45 Correct 76 ms 197344 KB Output is correct
46 Correct 67 ms 197384 KB Output is correct
47 Correct 67 ms 197424 KB Output is correct
48 Correct 73 ms 197708 KB Output is correct
49 Correct 66 ms 197640 KB Output is correct
50 Correct 68 ms 197708 KB Output is correct
51 Correct 1238 ms 196344 KB Output is correct
52 Correct 870 ms 344792 KB Output is correct
53 Correct 867 ms 344768 KB Output is correct
54 Correct 906 ms 342224 KB Output is correct
55 Correct 937 ms 342048 KB Output is correct
56 Correct 899 ms 343028 KB Output is correct
57 Correct 868 ms 344600 KB Output is correct
58 Correct 63 ms 196568 KB Output is correct
59 Correct 62 ms 196396 KB Output is correct
60 Correct 62 ms 196280 KB Output is correct
61 Correct 889 ms 344984 KB Output is correct
62 Correct 887 ms 341748 KB Output is correct
63 Correct 850 ms 341824 KB Output is correct
64 Correct 98 ms 212424 KB Output is correct
65 Correct 100 ms 212788 KB Output is correct
66 Correct 878 ms 344920 KB Output is correct
67 Correct 878 ms 344652 KB Output is correct
68 Correct 657 ms 340024 KB Output is correct
69 Correct 642 ms 340592 KB Output is correct
70 Correct 671 ms 339928 KB Output is correct
71 Correct 691 ms 339780 KB Output is correct
72 Correct 699 ms 339856 KB Output is correct
73 Correct 689 ms 341392 KB Output is correct
74 Correct 680 ms 342148 KB Output is correct
75 Correct 683 ms 341948 KB Output is correct
76 Correct 663 ms 342876 KB Output is correct
77 Correct 649 ms 341568 KB Output is correct
78 Correct 678 ms 344488 KB Output is correct
79 Correct 648 ms 343944 KB Output is correct
80 Correct 682 ms 342612 KB Output is correct
81 Correct 642 ms 358992 KB Output is correct
82 Correct 673 ms 360564 KB Output is correct
83 Correct 682 ms 360488 KB Output is correct
84 Correct 704 ms 371584 KB Output is correct
85 Correct 764 ms 409264 KB Output is correct
86 Correct 709 ms 408344 KB Output is correct
87 Correct 779 ms 408408 KB Output is correct