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Submission #562274

# Submission time Handle Problem Language Result Execution time Memory
562274 2022-05-14T08:44:46 Z hollwo_pelw Swapping Cities (APIO20_swap) C++17
100 / 100
 341 ms 42324 KB 
#include "swap.h"

#include <bits/stdc++.h>
using namespace std;

const int N = 1e5 + 5, M = 2e5 + 5;

int n, m, fa[N + M], val[N + M], col[N + M], deg[N];
int par[19][N + M], nxt[N + M], d[N + M];
vector<int> adj[N + M];

inline int find(int u) { return fa[u] == u ? u : fa[u] = find(fa[u]); }
inline void merge(int u, int v, int w) {
	deg[u] ++, deg[v] ++;
	bool ok = deg[u] >= 3 || deg[v] >= 3;
	if ((u = find(u)) == (v = find(v))) {
		if (!col[u])
			col[u] = 1, val[u] = w;
		return ;
	}
	fa[u] = fa[v] = ++ n;
	adj[n].push_back(u);
	adj[n].push_back(v);
	col[n] = ok | col[u] | col[v], val[n] = w;
}

void pre_dfs(int u, int f = 0) {
	if (col[u]) f = u;
	nxt[u] = f;

	for (int v : adj[u]) {
		d[v] = d[par[0][v] = u] + 1;
		for (int i = 1; i < 19; i++)
			par[i][v] = par[i - 1][par[i - 1][v]];

		pre_dfs(v, f);
	}
}

inline int lca(int u, int v) {
	if (d[u] > d[v]) swap(u, v);
	
	for (int i = 19; i --; )
		if ((d[v] - d[u]) >> i & 1)
			v = par[i][v];
	if (u == v) return u;
	
	for (int i = 19; i --; )
		if (par[i][u] != par[i][v]) {
			u = par[i][u];
			v = par[i][v];
		}
	return par[0][u];
}

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

	iota(fa, fa + N + M, 0);

	vector<int> ids(m);
	iota(ids.begin(), ids.end(), 0);
	sort(ids.begin(), ids.end(), [&](const int &i, const int &j){
		return W[i] < W[j];
	});

	for (int i : ids)
		merge(U[i] + 1, V[i] + 1, W[i]);

	val[0] = -1, pre_dfs(n);
}

int getMinimumFuelCapacity(int X, int Y) {
	return val[nxt[lca(X + 1, Y + 1)]];
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8660 KB Output is correct
2 Correct 4 ms 8660 KB Output is correct
3 Correct 4 ms 8660 KB Output is correct
4 Correct 5 ms 8660 KB Output is correct
5 Correct 5 ms 8788 KB Output is correct
6 Correct 5 ms 8788 KB Output is correct
7 Correct 6 ms 8820 KB Output is correct
8 Correct 6 ms 8916 KB Output is correct
9 Correct 98 ms 27052 KB Output is correct
10 Correct 125 ms 31140 KB Output is correct
11 Correct 121 ms 30740 KB Output is correct
12 Correct 135 ms 32120 KB Output is correct
13 Correct 106 ms 36004 KB Output is correct
14 Correct 112 ms 27184 KB Output is correct
15 Correct 264 ms 32836 KB Output is correct
16 Correct 243 ms 32140 KB Output is correct
17 Correct 275 ms 33648 KB Output is correct
18 Correct 330 ms 37580 KB Output is correct
19 Correct 88 ms 15816 KB Output is correct
20 Correct 244 ms 33960 KB Output is correct
21 Correct 260 ms 33376 KB Output is correct
22 Correct 259 ms 34836 KB Output is correct
23 Correct 341 ms 38740 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8660 KB Output is correct
2 Correct 4 ms 8660 KB Output is correct
3 Correct 299 ms 40888 KB Output is correct
4 Correct 307 ms 42324 KB Output is correct
5 Correct 332 ms 41572 KB Output is correct
6 Correct 291 ms 42164 KB Output is correct
7 Correct 327 ms 41928 KB Output is correct
8 Correct 292 ms 40652 KB Output is correct
9 Correct 325 ms 41672 KB Output is correct
10 Correct 273 ms 40384 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8660 KB Output is correct
2 Correct 4 ms 8660 KB Output is correct
3 Correct 4 ms 8660 KB Output is correct
4 Correct 5 ms 8660 KB Output is correct
5 Correct 5 ms 8788 KB Output is correct
6 Correct 5 ms 8788 KB Output is correct
7 Correct 6 ms 8820 KB Output is correct
8 Correct 6 ms 8916 KB Output is correct
9 Correct 5 ms 8660 KB Output is correct
10 Correct 6 ms 8856 KB Output is correct
11 Correct 6 ms 8788 KB Output is correct
12 Correct 6 ms 8788 KB Output is correct
13 Correct 5 ms 8788 KB Output is correct
14 Correct 5 ms 8788 KB Output is correct
15 Correct 5 ms 8788 KB Output is correct
16 Correct 5 ms 8788 KB Output is correct
17 Correct 5 ms 8916 KB Output is correct
18 Correct 5 ms 8788 KB Output is correct
19 Correct 5 ms 8756 KB Output is correct
20 Correct 5 ms 8788 KB Output is correct
21 Correct 5 ms 8788 KB Output is correct
22 Correct 5 ms 8660 KB Output is correct
23 Correct 5 ms 8812 KB Output is correct
24 Correct 7 ms 8916 KB Output is correct
25 Correct 5 ms 8916 KB Output is correct
26 Correct 6 ms 8916 KB Output is correct
27 Correct 7 ms 8940 KB Output is correct
28 Correct 7 ms 8896 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8660 KB Output is correct
2 Correct 4 ms 8660 KB Output is correct
3 Correct 4 ms 8660 KB Output is correct
4 Correct 4 ms 8660 KB Output is correct
5 Correct 5 ms 8660 KB Output is correct
6 Correct 5 ms 8788 KB Output is correct
7 Correct 5 ms 8788 KB Output is correct
8 Correct 6 ms 8820 KB Output is correct
9 Correct 6 ms 8916 KB Output is correct
10 Correct 98 ms 27052 KB Output is correct
11 Correct 125 ms 31140 KB Output is correct
12 Correct 121 ms 30740 KB Output is correct
13 Correct 135 ms 32120 KB Output is correct
14 Correct 106 ms 36004 KB Output is correct
15 Correct 6 ms 8856 KB Output is correct
16 Correct 6 ms 8788 KB Output is correct
17 Correct 6 ms 8788 KB Output is correct
18 Correct 5 ms 8788 KB Output is correct
19 Correct 5 ms 8788 KB Output is correct
20 Correct 5 ms 8788 KB Output is correct
21 Correct 5 ms 8788 KB Output is correct
22 Correct 5 ms 8916 KB Output is correct
23 Correct 5 ms 8788 KB Output is correct
24 Correct 5 ms 8756 KB Output is correct
25 Correct 5 ms 8788 KB Output is correct
26 Correct 5 ms 8788 KB Output is correct
27 Correct 5 ms 8660 KB Output is correct
28 Correct 5 ms 8812 KB Output is correct
29 Correct 7 ms 8916 KB Output is correct
30 Correct 5 ms 8916 KB Output is correct
31 Correct 6 ms 8916 KB Output is correct
32 Correct 7 ms 8940 KB Output is correct
33 Correct 7 ms 8896 KB Output is correct
34 Correct 15 ms 11852 KB Output is correct
35 Correct 135 ms 32072 KB Output is correct
36 Correct 124 ms 32072 KB Output is correct
37 Correct 125 ms 32140 KB Output is correct
38 Correct 120 ms 31688 KB Output is correct
39 Correct 131 ms 31668 KB Output is correct
40 Correct 113 ms 29800 KB Output is correct
41 Correct 124 ms 32120 KB Output is correct
42 Correct 126 ms 32092 KB Output is correct
43 Correct 119 ms 37264 KB Output is correct
44 Correct 129 ms 32200 KB Output is correct
45 Correct 124 ms 30916 KB Output is correct
46 Correct 132 ms 32072 KB Output is correct
47 Correct 132 ms 32072 KB Output is correct
48 Correct 125 ms 33884 KB Output is correct
49 Correct 63 ms 13172 KB Output is correct
50 Correct 54 ms 13632 KB Output is correct
51 Correct 145 ms 26900 KB Output is correct
52 Correct 162 ms 33820 KB Output is correct
53 Correct 158 ms 35288 KB Output is correct
54 Correct 172 ms 34800 KB Output is correct
55 Correct 97 ms 36736 KB Output is correct
56 Correct 175 ms 36484 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8660 KB Output is correct
2 Correct 4 ms 8660 KB Output is correct
3 Correct 4 ms 8660 KB Output is correct
4 Correct 5 ms 8660 KB Output is correct
5 Correct 5 ms 8788 KB Output is correct
6 Correct 5 ms 8788 KB Output is correct
7 Correct 6 ms 8820 KB Output is correct
8 Correct 6 ms 8916 KB Output is correct
9 Correct 98 ms 27052 KB Output is correct
10 Correct 125 ms 31140 KB Output is correct
11 Correct 121 ms 30740 KB Output is correct
12 Correct 135 ms 32120 KB Output is correct
13 Correct 106 ms 36004 KB Output is correct
14 Correct 112 ms 27184 KB Output is correct
15 Correct 264 ms 32836 KB Output is correct
16 Correct 243 ms 32140 KB Output is correct
17 Correct 275 ms 33648 KB Output is correct
18 Correct 330 ms 37580 KB Output is correct
19 Correct 299 ms 40888 KB Output is correct
20 Correct 307 ms 42324 KB Output is correct
21 Correct 332 ms 41572 KB Output is correct
22 Correct 291 ms 42164 KB Output is correct
23 Correct 327 ms 41928 KB Output is correct
24 Correct 292 ms 40652 KB Output is correct
25 Correct 325 ms 41672 KB Output is correct
26 Correct 273 ms 40384 KB Output is correct
27 Correct 6 ms 8856 KB Output is correct
28 Correct 6 ms 8788 KB Output is correct
29 Correct 6 ms 8788 KB Output is correct
30 Correct 5 ms 8788 KB Output is correct
31 Correct 5 ms 8788 KB Output is correct
32 Correct 5 ms 8788 KB Output is correct
33 Correct 5 ms 8788 KB Output is correct
34 Correct 5 ms 8916 KB Output is correct
35 Correct 5 ms 8788 KB Output is correct
36 Correct 15 ms 11852 KB Output is correct
37 Correct 135 ms 32072 KB Output is correct
38 Correct 124 ms 32072 KB Output is correct
39 Correct 125 ms 32140 KB Output is correct
40 Correct 120 ms 31688 KB Output is correct
41 Correct 131 ms 31668 KB Output is correct
42 Correct 113 ms 29800 KB Output is correct
43 Correct 124 ms 32120 KB Output is correct
44 Correct 126 ms 32092 KB Output is correct
45 Correct 119 ms 37264 KB Output is correct
46 Correct 129 ms 32200 KB Output is correct
47 Correct 30 ms 11832 KB Output is correct
48 Correct 257 ms 34212 KB Output is correct
49 Correct 265 ms 34324 KB Output is correct
50 Correct 261 ms 34132 KB Output is correct
51 Correct 244 ms 34124 KB Output is correct
52 Correct 225 ms 32860 KB Output is correct
53 Correct 199 ms 27488 KB Output is correct
54 Correct 258 ms 34856 KB Output is correct
55 Correct 289 ms 34288 KB Output is correct
56 Correct 331 ms 38264 KB Output is correct
57 Correct 322 ms 35000 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8660 KB Output is correct
2 Correct 4 ms 8660 KB Output is correct
3 Correct 4 ms 8660 KB Output is correct
4 Correct 4 ms 8660 KB Output is correct
5 Correct 5 ms 8660 KB Output is correct
6 Correct 5 ms 8788 KB Output is correct
7 Correct 5 ms 8788 KB Output is correct
8 Correct 6 ms 8820 KB Output is correct
9 Correct 6 ms 8916 KB Output is correct
10 Correct 98 ms 27052 KB Output is correct
11 Correct 125 ms 31140 KB Output is correct
12 Correct 121 ms 30740 KB Output is correct
13 Correct 135 ms 32120 KB Output is correct
14 Correct 106 ms 36004 KB Output is correct
15 Correct 112 ms 27184 KB Output is correct
16 Correct 264 ms 32836 KB Output is correct
17 Correct 243 ms 32140 KB Output is correct
18 Correct 275 ms 33648 KB Output is correct
19 Correct 330 ms 37580 KB Output is correct
20 Correct 299 ms 40888 KB Output is correct
21 Correct 307 ms 42324 KB Output is correct
22 Correct 332 ms 41572 KB Output is correct
23 Correct 291 ms 42164 KB Output is correct
24 Correct 327 ms 41928 KB Output is correct
25 Correct 292 ms 40652 KB Output is correct
26 Correct 325 ms 41672 KB Output is correct
27 Correct 273 ms 40384 KB Output is correct
28 Correct 6 ms 8856 KB Output is correct
29 Correct 6 ms 8788 KB Output is correct
30 Correct 6 ms 8788 KB Output is correct
31 Correct 5 ms 8788 KB Output is correct
32 Correct 5 ms 8788 KB Output is correct
33 Correct 5 ms 8788 KB Output is correct
34 Correct 5 ms 8788 KB Output is correct
35 Correct 5 ms 8916 KB Output is correct
36 Correct 5 ms 8788 KB Output is correct
37 Correct 15 ms 11852 KB Output is correct
38 Correct 135 ms 32072 KB Output is correct
39 Correct 124 ms 32072 KB Output is correct
40 Correct 125 ms 32140 KB Output is correct
41 Correct 120 ms 31688 KB Output is correct
42 Correct 131 ms 31668 KB Output is correct
43 Correct 113 ms 29800 KB Output is correct
44 Correct 124 ms 32120 KB Output is correct
45 Correct 126 ms 32092 KB Output is correct
46 Correct 119 ms 37264 KB Output is correct
47 Correct 129 ms 32200 KB Output is correct
48 Correct 30 ms 11832 KB Output is correct
49 Correct 257 ms 34212 KB Output is correct
50 Correct 265 ms 34324 KB Output is correct
51 Correct 261 ms 34132 KB Output is correct
52 Correct 244 ms 34124 KB Output is correct
53 Correct 225 ms 32860 KB Output is correct
54 Correct 199 ms 27488 KB Output is correct
55 Correct 258 ms 34856 KB Output is correct
56 Correct 289 ms 34288 KB Output is correct
57 Correct 331 ms 38264 KB Output is correct
58 Correct 322 ms 35000 KB Output is correct
59 Correct 88 ms 15816 KB Output is correct
60 Correct 244 ms 33960 KB Output is correct
61 Correct 260 ms 33376 KB Output is correct
62 Correct 259 ms 34836 KB Output is correct
63 Correct 341 ms 38740 KB Output is correct
64 Correct 5 ms 8756 KB Output is correct
65 Correct 5 ms 8788 KB Output is correct
66 Correct 5 ms 8788 KB Output is correct
67 Correct 5 ms 8660 KB Output is correct
68 Correct 5 ms 8812 KB Output is correct
69 Correct 7 ms 8916 KB Output is correct
70 Correct 5 ms 8916 KB Output is correct
71 Correct 6 ms 8916 KB Output is correct
72 Correct 7 ms 8940 KB Output is correct
73 Correct 7 ms 8896 KB Output is correct
74 Correct 124 ms 30916 KB Output is correct
75 Correct 132 ms 32072 KB Output is correct
76 Correct 132 ms 32072 KB Output is correct
77 Correct 125 ms 33884 KB Output is correct
78 Correct 63 ms 13172 KB Output is correct
79 Correct 54 ms 13632 KB Output is correct
80 Correct 145 ms 26900 KB Output is correct
81 Correct 162 ms 33820 KB Output is correct
82 Correct 158 ms 35288 KB Output is correct
83 Correct 172 ms 34800 KB Output is correct
84 Correct 97 ms 36736 KB Output is correct
85 Correct 175 ms 36484 KB Output is correct
86 Correct 68 ms 17600 KB Output is correct
87 Correct 261 ms 34296 KB Output is correct
88 Correct 263 ms 34200 KB Output is correct
89 Correct 280 ms 34452 KB Output is correct
90 Correct 172 ms 15268 KB Output is correct
91 Correct 173 ms 17292 KB Output is correct
92 Correct 250 ms 29288 KB Output is correct
93 Correct 292 ms 35536 KB Output is correct
94 Correct 320 ms 36520 KB Output is correct
95 Correct 324 ms 36448 KB Output is correct
96 Correct 339 ms 38632 KB Output is correct
97 Correct 315 ms 37336 KB Output is correct