oj.uz

Submission #292355

# Submission time Handle Problem Language Result Execution time Memory
292355 2020-09-06T21:17:21 Z luciocf Swapping Cities (APIO20_swap) C++14
100 / 100
 314 ms 22264 KB 
#include <bits/stdc++.h>
#include "swap.h"

#define ff first
#define ss second

using namespace std;

typedef pair<int, int> pii;

const int maxn = 2e5+10;
const int inf = 1e9+10;

int n;
int mn3[maxn];

int ans[maxn];

int D[maxn], par[maxn];
bool mark[maxn];

vector<pii> grafo[maxn];

struct Edge
{
	int u, v, w;
} edge[maxn];

struct DSU
{
	int pai[maxn], peso[maxn], nivel[maxn], val[maxn], tt[maxn];
 
	void init(int n)
	{
		for (int i = 1; i <= n; i++)
		{
			pai[i] = i, peso[i] = 1, nivel[i] = 0;

			if (grafo[i].size() >= 3) val[i] = mn3[i];
			else val[i] = inf;
		}
	}
 
	int Find(int x)
	{
		if (pai[x] == x) return x;
		return Find(pai[x]);
	}
 
	void Join(int x, int y, int t)
	{
		x = Find(x), y = Find(y);
		if (x == y) return;
 
		if (peso[x] < peso[y]) swap(x, y);
 
		pai[y] = x, peso[x] += peso[y], tt[y] = t;
	}

	void dfs(int u)
	{
		if (u == Find(u))
		{
			nivel[u] = 1;
			return;
		}
 
		if (!nivel[pai[u]]) dfs(pai[u]);
		nivel[u] = nivel[pai[u]]+1;
	}

	void upd(int u)
	{
		int v = u;
		int mx = 0;

		while (true)
		{
			val[v] = min(val[v], max(mn3[u], mx));

			if (pai[v] == v) return;

			mx = max(mx, tt[v]);
			v = pai[v];
		}
	}

	int get(int u)
	{
		int v = u, ans = inf, mx = 0;

		while (true)
		{
			ans = min(ans, max(mx, val[v]));

			if (v == pai[v]) return ans;

			mx = max(mx, tt[v]);
			v = pai[v];
		}
	}

	int get_mx(int u, int v)
	{
		int ans = 0;
 
		while (u != v)
		{
			if (nivel[u] > nivel[v])
			{
				ans = max(ans, tt[u]);
				u = pai[u];
			}
			else
			{
				ans = max(ans, tt[v]);
				v = pai[v];
			}
		}
 
		return ans;
	}

} dsu;

void init(int N, int m, vector<int> U, vector<int> V, vector<int> W)
{
	n = N;

	for (int i = 0; i < m; i++)
	{
		grafo[U[i]+1].push_back({V[i]+1, W[i]});
		grafo[V[i]+1].push_back({U[i]+1, W[i]});

		edge[i+1] = {U[i]+1, V[i]+1, W[i]};
	}

	sort(edge+1, edge+m+1, [&] (Edge a, Edge b) {return a.w < b.w;});

	for (int i = 1; i <= n; i++)
	{
		sort(grafo[i].begin(), grafo[i].end(), [&] (pii a, pii b) {return a.ss < b.ss;});

		if (grafo[i].size() <= 2) mn3[i] = inf;
		else mn3[i] = grafo[i][2].ss;
	}

	dsu.init(n);

	for (int i = 1; i <= m; i++)
	{
		if (dsu.Find(edge[i].u) == dsu.Find(edge[i].v))
		{
			mn3[edge[i].u] = min(mn3[edge[i].u], edge[i].w);
			mn3[edge[i].v] = min(mn3[edge[i].v], edge[i].w);
		}
		
		dsu.Join(edge[i].u, edge[i].v, edge[i].w);
	}

	for (int i = 1; i <= n; i++)
	{
		if (mn3[i] != inf)
			dsu.upd(i);

		if (!dsu.nivel[i])
			dsu.dfs(i);
	}
}

int getMinimumFuelCapacity(int u, int v)
{
	u++, v++;
	if (u == v) return -1;

	if (min(dsu.get(u), dsu.get(v)) == inf) return -1;

	return max(min(dsu.get(u), dsu.get(v)), dsu.get_mx(u, v));
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 3 ms 4992 KB Output is correct
4 Correct 4 ms 5120 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 4 ms 5120 KB Output is correct
7 Correct 4 ms 5120 KB Output is correct
8 Correct 4 ms 5120 KB Output is correct
9 Correct 73 ms 12152 KB Output is correct
10 Correct 90 ms 13688 KB Output is correct
11 Correct 91 ms 13560 KB Output is correct
12 Correct 99 ms 14072 KB Output is correct
13 Correct 93 ms 14072 KB Output is correct
14 Correct 81 ms 12280 KB Output is correct
15 Correct 184 ms 15640 KB Output is correct
16 Correct 183 ms 15396 KB Output is correct
17 Correct 190 ms 15836 KB Output is correct
18 Correct 167 ms 15840 KB Output is correct
19 Correct 98 ms 9976 KB Output is correct
20 Correct 221 ms 16728 KB Output is correct
21 Correct 202 ms 16688 KB Output is correct
22 Correct 209 ms 17248 KB Output is correct
23 Correct 179 ms 17372 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 158 ms 17424 KB Output is correct
4 Correct 157 ms 17620 KB Output is correct
5 Correct 162 ms 17668 KB Output is correct
6 Correct 155 ms 17620 KB Output is correct
7 Correct 159 ms 17772 KB Output is correct
8 Correct 157 ms 17436 KB Output is correct
9 Correct 159 ms 17516 KB Output is correct
10 Correct 161 ms 17320 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 3 ms 4992 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 4 ms 5120 KB Output is correct
7 Correct 4 ms 5120 KB Output is correct
8 Correct 4 ms 5120 KB Output is correct
9 Correct 4 ms 5120 KB Output is correct
10 Correct 4 ms 5120 KB Output is correct
11 Correct 4 ms 5120 KB Output is correct
12 Correct 5 ms 5120 KB Output is correct
13 Correct 5 ms 5120 KB Output is correct
14 Correct 4 ms 5120 KB Output is correct
15 Correct 4 ms 5120 KB Output is correct
16 Correct 4 ms 5120 KB Output is correct
17 Correct 5 ms 5120 KB Output is correct
18 Correct 4 ms 5120 KB Output is correct
19 Correct 4 ms 5120 KB Output is correct
20 Correct 4 ms 5120 KB Output is correct
21 Correct 4 ms 5120 KB Output is correct
22 Correct 5 ms 5120 KB Output is correct
23 Correct 4 ms 5120 KB Output is correct
24 Correct 5 ms 5248 KB Output is correct
25 Correct 6 ms 5248 KB Output is correct
26 Correct 5 ms 5248 KB Output is correct
27 Correct 4 ms 5120 KB Output is correct
28 Correct 5 ms 5248 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 3 ms 4992 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 4 ms 5120 KB Output is correct
7 Correct 4 ms 5120 KB Output is correct
8 Correct 4 ms 5120 KB Output is correct
9 Correct 4 ms 5120 KB Output is correct
10 Correct 73 ms 12152 KB Output is correct
11 Correct 90 ms 13688 KB Output is correct
12 Correct 91 ms 13560 KB Output is correct
13 Correct 99 ms 14072 KB Output is correct
14 Correct 93 ms 14072 KB Output is correct
15 Correct 4 ms 5120 KB Output is correct
16 Correct 4 ms 5120 KB Output is correct
17 Correct 5 ms 5120 KB Output is correct
18 Correct 5 ms 5120 KB Output is correct
19 Correct 4 ms 5120 KB Output is correct
20 Correct 4 ms 5120 KB Output is correct
21 Correct 4 ms 5120 KB Output is correct
22 Correct 5 ms 5120 KB Output is correct
23 Correct 4 ms 5120 KB Output is correct
24 Correct 14 ms 6400 KB Output is correct
25 Correct 89 ms 14072 KB Output is correct
26 Correct 94 ms 14072 KB Output is correct
27 Correct 89 ms 14056 KB Output is correct
28 Correct 87 ms 13944 KB Output is correct
29 Correct 89 ms 13900 KB Output is correct
30 Correct 82 ms 13348 KB Output is correct
31 Correct 106 ms 14076 KB Output is correct
32 Correct 96 ms 14072 KB Output is correct
33 Correct 89 ms 14072 KB Output is correct
34 Correct 100 ms 14568 KB Output is correct
35 Correct 4 ms 5120 KB Output is correct
36 Correct 4 ms 5120 KB Output is correct
37 Correct 4 ms 5120 KB Output is correct
38 Correct 5 ms 5120 KB Output is correct
39 Correct 4 ms 5120 KB Output is correct
40 Correct 5 ms 5248 KB Output is correct
41 Correct 6 ms 5248 KB Output is correct
42 Correct 5 ms 5248 KB Output is correct
43 Correct 4 ms 5120 KB Output is correct
44 Correct 5 ms 5248 KB Output is correct
45 Correct 149 ms 17016 KB Output is correct
46 Correct 92 ms 14072 KB Output is correct
47 Correct 96 ms 14072 KB Output is correct
48 Correct 106 ms 14712 KB Output is correct
49 Correct 112 ms 15608 KB Output is correct
50 Correct 92 ms 12792 KB Output is correct
51 Correct 119 ms 15096 KB Output is correct
52 Correct 166 ms 18304 KB Output is correct
53 Correct 183 ms 19452 KB Output is correct
54 Correct 206 ms 20728 KB Output is correct
55 Correct 87 ms 14076 KB Output is correct
56 Correct 169 ms 18936 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 3 ms 4992 KB Output is correct
4 Correct 4 ms 5120 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 4 ms 5120 KB Output is correct
7 Correct 4 ms 5120 KB Output is correct
8 Correct 4 ms 5120 KB Output is correct
9 Correct 73 ms 12152 KB Output is correct
10 Correct 90 ms 13688 KB Output is correct
11 Correct 91 ms 13560 KB Output is correct
12 Correct 99 ms 14072 KB Output is correct
13 Correct 93 ms 14072 KB Output is correct
14 Correct 81 ms 12280 KB Output is correct
15 Correct 184 ms 15640 KB Output is correct
16 Correct 183 ms 15396 KB Output is correct
17 Correct 190 ms 15836 KB Output is correct
18 Correct 167 ms 15840 KB Output is correct
19 Correct 158 ms 17424 KB Output is correct
20 Correct 157 ms 17620 KB Output is correct
21 Correct 162 ms 17668 KB Output is correct
22 Correct 155 ms 17620 KB Output is correct
23 Correct 159 ms 17772 KB Output is correct
24 Correct 157 ms 17436 KB Output is correct
25 Correct 159 ms 17516 KB Output is correct
26 Correct 161 ms 17320 KB Output is correct
27 Correct 4 ms 5120 KB Output is correct
28 Correct 4 ms 5120 KB Output is correct
29 Correct 5 ms 5120 KB Output is correct
30 Correct 5 ms 5120 KB Output is correct
31 Correct 4 ms 5120 KB Output is correct
32 Correct 4 ms 5120 KB Output is correct
33 Correct 4 ms 5120 KB Output is correct
34 Correct 5 ms 5120 KB Output is correct
35 Correct 4 ms 5120 KB Output is correct
36 Correct 14 ms 6400 KB Output is correct
37 Correct 89 ms 14072 KB Output is correct
38 Correct 94 ms 14072 KB Output is correct
39 Correct 89 ms 14056 KB Output is correct
40 Correct 87 ms 13944 KB Output is correct
41 Correct 89 ms 13900 KB Output is correct
42 Correct 82 ms 13348 KB Output is correct
43 Correct 106 ms 14076 KB Output is correct
44 Correct 96 ms 14072 KB Output is correct
45 Correct 89 ms 14072 KB Output is correct
46 Correct 100 ms 14568 KB Output is correct
47 Correct 23 ms 6560 KB Output is correct
48 Correct 205 ms 16604 KB Output is correct
49 Correct 209 ms 16764 KB Output is correct
50 Correct 203 ms 16604 KB Output is correct
51 Correct 198 ms 16624 KB Output is correct
52 Correct 195 ms 16424 KB Output is correct
53 Correct 163 ms 14952 KB Output is correct
54 Correct 220 ms 17244 KB Output is correct
55 Correct 205 ms 16604 KB Output is correct
56 Correct 174 ms 16792 KB Output is correct
57 Correct 218 ms 17760 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4992 KB Output is correct
2 Correct 3 ms 4992 KB Output is correct
3 Correct 3 ms 4992 KB Output is correct
4 Correct 3 ms 4992 KB Output is correct
5 Correct 4 ms 5120 KB Output is correct
6 Correct 4 ms 5120 KB Output is correct
7 Correct 4 ms 5120 KB Output is correct
8 Correct 4 ms 5120 KB Output is correct
9 Correct 4 ms 5120 KB Output is correct
10 Correct 73 ms 12152 KB Output is correct
11 Correct 90 ms 13688 KB Output is correct
12 Correct 91 ms 13560 KB Output is correct
13 Correct 99 ms 14072 KB Output is correct
14 Correct 93 ms 14072 KB Output is correct
15 Correct 81 ms 12280 KB Output is correct
16 Correct 184 ms 15640 KB Output is correct
17 Correct 183 ms 15396 KB Output is correct
18 Correct 190 ms 15836 KB Output is correct
19 Correct 167 ms 15840 KB Output is correct
20 Correct 158 ms 17424 KB Output is correct
21 Correct 157 ms 17620 KB Output is correct
22 Correct 162 ms 17668 KB Output is correct
23 Correct 155 ms 17620 KB Output is correct
24 Correct 159 ms 17772 KB Output is correct
25 Correct 157 ms 17436 KB Output is correct
26 Correct 159 ms 17516 KB Output is correct
27 Correct 161 ms 17320 KB Output is correct
28 Correct 4 ms 5120 KB Output is correct
29 Correct 4 ms 5120 KB Output is correct
30 Correct 5 ms 5120 KB Output is correct
31 Correct 5 ms 5120 KB Output is correct
32 Correct 4 ms 5120 KB Output is correct
33 Correct 4 ms 5120 KB Output is correct
34 Correct 4 ms 5120 KB Output is correct
35 Correct 5 ms 5120 KB Output is correct
36 Correct 4 ms 5120 KB Output is correct
37 Correct 14 ms 6400 KB Output is correct
38 Correct 89 ms 14072 KB Output is correct
39 Correct 94 ms 14072 KB Output is correct
40 Correct 89 ms 14056 KB Output is correct
41 Correct 87 ms 13944 KB Output is correct
42 Correct 89 ms 13900 KB Output is correct
43 Correct 82 ms 13348 KB Output is correct
44 Correct 106 ms 14076 KB Output is correct
45 Correct 96 ms 14072 KB Output is correct
46 Correct 89 ms 14072 KB Output is correct
47 Correct 100 ms 14568 KB Output is correct
48 Correct 23 ms 6560 KB Output is correct
49 Correct 205 ms 16604 KB Output is correct
50 Correct 209 ms 16764 KB Output is correct
51 Correct 203 ms 16604 KB Output is correct
52 Correct 198 ms 16624 KB Output is correct
53 Correct 195 ms 16424 KB Output is correct
54 Correct 163 ms 14952 KB Output is correct
55 Correct 220 ms 17244 KB Output is correct
56 Correct 205 ms 16604 KB Output is correct
57 Correct 174 ms 16792 KB Output is correct
58 Correct 218 ms 17760 KB Output is correct
59 Correct 98 ms 9976 KB Output is correct
60 Correct 221 ms 16728 KB Output is correct
61 Correct 202 ms 16688 KB Output is correct
62 Correct 209 ms 17248 KB Output is correct
63 Correct 179 ms 17372 KB Output is correct
64 Correct 4 ms 5120 KB Output is correct
65 Correct 4 ms 5120 KB Output is correct
66 Correct 4 ms 5120 KB Output is correct
67 Correct 5 ms 5120 KB Output is correct
68 Correct 4 ms 5120 KB Output is correct
69 Correct 5 ms 5248 KB Output is correct
70 Correct 6 ms 5248 KB Output is correct
71 Correct 5 ms 5248 KB Output is correct
72 Correct 4 ms 5120 KB Output is correct
73 Correct 5 ms 5248 KB Output is correct
74 Correct 149 ms 17016 KB Output is correct
75 Correct 92 ms 14072 KB Output is correct
76 Correct 96 ms 14072 KB Output is correct
77 Correct 106 ms 14712 KB Output is correct
78 Correct 112 ms 15608 KB Output is correct
79 Correct 92 ms 12792 KB Output is correct
80 Correct 119 ms 15096 KB Output is correct
81 Correct 166 ms 18304 KB Output is correct
82 Correct 183 ms 19452 KB Output is correct
83 Correct 206 ms 20728 KB Output is correct
84 Correct 87 ms 14076 KB Output is correct
85 Correct 169 ms 18936 KB Output is correct
86 Correct 69 ms 9772 KB Output is correct
87 Correct 207 ms 16604 KB Output is correct
88 Correct 201 ms 16604 KB Output is correct
89 Correct 184 ms 16660 KB Output is correct
90 Correct 200 ms 17232 KB Output is correct
91 Correct 196 ms 16796 KB Output is correct
92 Correct 209 ms 17752 KB Output is correct
93 Correct 282 ms 20660 KB Output is correct
94 Correct 280 ms 21504 KB Output is correct
95 Correct 314 ms 22264 KB Output is correct
96 Correct 174 ms 16736 KB Output is correct
97 Correct 230 ms 19516 KB Output is correct