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Submission #764653

# Submission time Handle Problem Language Result Execution time Memory
764653 2023-06-23T18:02:59 Z raysh07 Swapping Cities (APIO20_swap) C++17
100 / 100
 406 ms 50736 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;
const int N = 4e5 + 15, M = 2e5 + 5, L = 21, INF = 0x3f3f3f3f;
int p[N], dpr[N], pr[N][L], ext[N], P[N], h[N], rt, D[N], deg[N];
vector<int> adj[N], Wtmp;

void smin(int &a, int b) 
{
  a = min(a, b);
}

void dfs(int v) {
	for (int i = 1; i < L; i++) pr[v][i] = pr[pr[v][i - 1]][i - 1];
	for (auto u: adj[v]) {
		pr[u][0] = v;
		h[u] = h[v] + 1;
		dfs(u);
		smin(ext[v], ext[u]);
	}
}

int gpr(int u) 
{
  return dpr[u] == u ? u : dpr[u] = gpr(dpr[u]);
}

bool merge(int u, int v, int id) {
	int tu = u, tv = v;
	deg[tu]++, deg[tv]++;
	u = gpr(u), v = gpr(v);
	if (u == v) return false;
	dpr[u] = dpr[v] = id + M;
	D[id + M] = max({D[u], D[v], deg[tu], deg[tv]});
	adj[id + M].push_back(u);
	adj[id + M].push_back(v);
	return true;
}

void init(int n, int m, std::vector<int> U, std::vector<int> V, std::vector<int> W) {
	iota(p, p + m, 0);
	sort(p, p + m, [&](const int x, const int y) {return W[x] < W[y];});
	iota(dpr, dpr + N, 0);
	memset(ext, 0x3f, sizeof ext);
	Wtmp = W;
	for (int i = 0; i < m; i++) {
		const int id = p[i];
		if (!merge(U[id], V[id], id)) {
			smin(ext[U[id]], W[id]);
			smin(ext[V[id]], W[id]);
		}
	}
	rt = gpr(0), pr[rt][0] = rt, dfs(rt);
}

int LCA(int X, int Y) {
	for (int i = L - 1; i >= 0; i--) if (pr[Y][i] != pr[X][i]) Y = pr[Y][i], X = pr[X][i];
	return pr[X][0];
}

int getMinimumFuelCapacity(int X, int Y) {
	if (h[X] < h[Y]) swap(X, Y);
	while (h[Y] < h[X]) X = pr[X][__lg(h[X] - h[Y])];
	int w = INF, lca = LCA(X, Y);
	for (int i = L - 1; i >= 0; i--) if (pr[Y][i] != pr[X][i] || D[pr[X][i]] <= 2) Y = pr[Y][i], X = pr[X][i];
	smin(w, (D[pr[X][0]] > 2 ? Wtmp[pr[X][0] - M] : INF));
	if (h[X] <= h[lca]) smin(w, max(Wtmp[X - M], ext[X]));
	return w >= INF ? -1 : w;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 12756 KB Output is correct
2 Correct 6 ms 12756 KB Output is correct
3 Correct 7 ms 12832 KB Output is correct
4 Correct 7 ms 12884 KB Output is correct
5 Correct 7 ms 13056 KB Output is correct
6 Correct 7 ms 13012 KB Output is correct
7 Correct 9 ms 13012 KB Output is correct
8 Correct 8 ms 13148 KB Output is correct
9 Correct 105 ms 31876 KB Output is correct
10 Correct 139 ms 36172 KB Output is correct
11 Correct 107 ms 35780 KB Output is correct
12 Correct 122 ms 37112 KB Output is correct
13 Correct 129 ms 41040 KB Output is correct
14 Correct 110 ms 31968 KB Output is correct
15 Correct 242 ms 38120 KB Output is correct
16 Correct 205 ms 37440 KB Output is correct
17 Correct 217 ms 38912 KB Output is correct
18 Correct 388 ms 42804 KB Output is correct
19 Correct 80 ms 20112 KB Output is correct
20 Correct 209 ms 39368 KB Output is correct
21 Correct 253 ms 38648 KB Output is correct
22 Correct 243 ms 40316 KB Output is correct
23 Correct 334 ms 44400 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 12756 KB Output is correct
2 Correct 6 ms 12756 KB Output is correct
3 Correct 384 ms 46148 KB Output is correct
4 Correct 307 ms 47756 KB Output is correct
5 Correct 285 ms 46864 KB Output is correct
6 Correct 406 ms 47620 KB Output is correct
7 Correct 367 ms 47320 KB Output is correct
8 Correct 310 ms 45988 KB Output is correct
9 Correct 281 ms 46980 KB Output is correct
10 Correct 338 ms 45704 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 12756 KB Output is correct
2 Correct 6 ms 12756 KB Output is correct
3 Correct 7 ms 12832 KB Output is correct
4 Correct 7 ms 12884 KB Output is correct
5 Correct 7 ms 13056 KB Output is correct
6 Correct 7 ms 13012 KB Output is correct
7 Correct 9 ms 13012 KB Output is correct
8 Correct 8 ms 13148 KB Output is correct
9 Correct 6 ms 12756 KB Output is correct
10 Correct 7 ms 13012 KB Output is correct
11 Correct 7 ms 13104 KB Output is correct
12 Correct 7 ms 13108 KB Output is correct
13 Correct 8 ms 13012 KB Output is correct
14 Correct 7 ms 13012 KB Output is correct
15 Correct 7 ms 13012 KB Output is correct
16 Correct 7 ms 13012 KB Output is correct
17 Correct 7 ms 13140 KB Output is correct
18 Correct 7 ms 13012 KB Output is correct
19 Correct 8 ms 13012 KB Output is correct
20 Correct 8 ms 13012 KB Output is correct
21 Correct 7 ms 13132 KB Output is correct
22 Correct 8 ms 13012 KB Output is correct
23 Correct 8 ms 13012 KB Output is correct
24 Correct 7 ms 13204 KB Output is correct
25 Correct 7 ms 13140 KB Output is correct
26 Correct 7 ms 13140 KB Output is correct
27 Correct 7 ms 13140 KB Output is correct
28 Correct 7 ms 13140 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12756 KB Output is correct
2 Correct 8 ms 12756 KB Output is correct
3 Correct 6 ms 12756 KB Output is correct
4 Correct 7 ms 12832 KB Output is correct
5 Correct 7 ms 12884 KB Output is correct
6 Correct 7 ms 13056 KB Output is correct
7 Correct 7 ms 13012 KB Output is correct
8 Correct 9 ms 13012 KB Output is correct
9 Correct 8 ms 13148 KB Output is correct
10 Correct 105 ms 31876 KB Output is correct
11 Correct 139 ms 36172 KB Output is correct
12 Correct 107 ms 35780 KB Output is correct
13 Correct 122 ms 37112 KB Output is correct
14 Correct 129 ms 41040 KB Output is correct
15 Correct 7 ms 13012 KB Output is correct
16 Correct 7 ms 13104 KB Output is correct
17 Correct 7 ms 13108 KB Output is correct
18 Correct 8 ms 13012 KB Output is correct
19 Correct 7 ms 13012 KB Output is correct
20 Correct 7 ms 13012 KB Output is correct
21 Correct 7 ms 13012 KB Output is correct
22 Correct 7 ms 13140 KB Output is correct
23 Correct 7 ms 13012 KB Output is correct
24 Correct 8 ms 13012 KB Output is correct
25 Correct 8 ms 13012 KB Output is correct
26 Correct 7 ms 13132 KB Output is correct
27 Correct 8 ms 13012 KB Output is correct
28 Correct 8 ms 13012 KB Output is correct
29 Correct 7 ms 13204 KB Output is correct
30 Correct 7 ms 13140 KB Output is correct
31 Correct 7 ms 13140 KB Output is correct
32 Correct 7 ms 13140 KB Output is correct
33 Correct 7 ms 13140 KB Output is correct
34 Correct 16 ms 16180 KB Output is correct
35 Correct 135 ms 37036 KB Output is correct
36 Correct 135 ms 37112 KB Output is correct
37 Correct 111 ms 36976 KB Output is correct
38 Correct 129 ms 36856 KB Output is correct
39 Correct 116 ms 36592 KB Output is correct
40 Correct 123 ms 34636 KB Output is correct
41 Correct 115 ms 37052 KB Output is correct
42 Correct 125 ms 37136 KB Output is correct
43 Correct 126 ms 42288 KB Output is correct
44 Correct 154 ms 37196 KB Output is correct
45 Correct 140 ms 42160 KB Output is correct
46 Correct 113 ms 37140 KB Output is correct
47 Correct 129 ms 37196 KB Output is correct
48 Correct 144 ms 40068 KB Output is correct
49 Correct 56 ms 22956 KB Output is correct
50 Correct 53 ms 28108 KB Output is correct
51 Correct 111 ms 37704 KB Output is correct
52 Correct 168 ms 44612 KB Output is correct
53 Correct 165 ms 47520 KB Output is correct
54 Correct 170 ms 49168 KB Output is correct
55 Correct 131 ms 41804 KB Output is correct
56 Correct 186 ms 48216 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 12756 KB Output is correct
2 Correct 6 ms 12756 KB Output is correct
3 Correct 7 ms 12832 KB Output is correct
4 Correct 7 ms 12884 KB Output is correct
5 Correct 7 ms 13056 KB Output is correct
6 Correct 7 ms 13012 KB Output is correct
7 Correct 9 ms 13012 KB Output is correct
8 Correct 8 ms 13148 KB Output is correct
9 Correct 105 ms 31876 KB Output is correct
10 Correct 139 ms 36172 KB Output is correct
11 Correct 107 ms 35780 KB Output is correct
12 Correct 122 ms 37112 KB Output is correct
13 Correct 129 ms 41040 KB Output is correct
14 Correct 110 ms 31968 KB Output is correct
15 Correct 242 ms 38120 KB Output is correct
16 Correct 205 ms 37440 KB Output is correct
17 Correct 217 ms 38912 KB Output is correct
18 Correct 388 ms 42804 KB Output is correct
19 Correct 384 ms 46148 KB Output is correct
20 Correct 307 ms 47756 KB Output is correct
21 Correct 285 ms 46864 KB Output is correct
22 Correct 406 ms 47620 KB Output is correct
23 Correct 367 ms 47320 KB Output is correct
24 Correct 310 ms 45988 KB Output is correct
25 Correct 281 ms 46980 KB Output is correct
26 Correct 338 ms 45704 KB Output is correct
27 Correct 7 ms 13012 KB Output is correct
28 Correct 7 ms 13104 KB Output is correct
29 Correct 7 ms 13108 KB Output is correct
30 Correct 8 ms 13012 KB Output is correct
31 Correct 7 ms 13012 KB Output is correct
32 Correct 7 ms 13012 KB Output is correct
33 Correct 7 ms 13012 KB Output is correct
34 Correct 7 ms 13140 KB Output is correct
35 Correct 7 ms 13012 KB Output is correct
36 Correct 16 ms 16180 KB Output is correct
37 Correct 135 ms 37036 KB Output is correct
38 Correct 135 ms 37112 KB Output is correct
39 Correct 111 ms 36976 KB Output is correct
40 Correct 129 ms 36856 KB Output is correct
41 Correct 116 ms 36592 KB Output is correct
42 Correct 123 ms 34636 KB Output is correct
43 Correct 115 ms 37052 KB Output is correct
44 Correct 125 ms 37136 KB Output is correct
45 Correct 126 ms 42288 KB Output is correct
46 Correct 154 ms 37196 KB Output is correct
47 Correct 23 ms 16116 KB Output is correct
48 Correct 258 ms 39672 KB Output is correct
49 Correct 212 ms 39716 KB Output is correct
50 Correct 226 ms 39532 KB Output is correct
51 Correct 205 ms 39532 KB Output is correct
52 Correct 264 ms 38236 KB Output is correct
53 Correct 184 ms 32512 KB Output is correct
54 Correct 239 ms 40264 KB Output is correct
55 Correct 220 ms 39644 KB Output is correct
56 Correct 312 ms 43752 KB Output is correct
57 Correct 256 ms 40464 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12756 KB Output is correct
2 Correct 8 ms 12756 KB Output is correct
3 Correct 6 ms 12756 KB Output is correct
4 Correct 7 ms 12832 KB Output is correct
5 Correct 7 ms 12884 KB Output is correct
6 Correct 7 ms 13056 KB Output is correct
7 Correct 7 ms 13012 KB Output is correct
8 Correct 9 ms 13012 KB Output is correct
9 Correct 8 ms 13148 KB Output is correct
10 Correct 105 ms 31876 KB Output is correct
11 Correct 139 ms 36172 KB Output is correct
12 Correct 107 ms 35780 KB Output is correct
13 Correct 122 ms 37112 KB Output is correct
14 Correct 129 ms 41040 KB Output is correct
15 Correct 110 ms 31968 KB Output is correct
16 Correct 242 ms 38120 KB Output is correct
17 Correct 205 ms 37440 KB Output is correct
18 Correct 217 ms 38912 KB Output is correct
19 Correct 388 ms 42804 KB Output is correct
20 Correct 384 ms 46148 KB Output is correct
21 Correct 307 ms 47756 KB Output is correct
22 Correct 285 ms 46864 KB Output is correct
23 Correct 406 ms 47620 KB Output is correct
24 Correct 367 ms 47320 KB Output is correct
25 Correct 310 ms 45988 KB Output is correct
26 Correct 281 ms 46980 KB Output is correct
27 Correct 338 ms 45704 KB Output is correct
28 Correct 7 ms 13012 KB Output is correct
29 Correct 7 ms 13104 KB Output is correct
30 Correct 7 ms 13108 KB Output is correct
31 Correct 8 ms 13012 KB Output is correct
32 Correct 7 ms 13012 KB Output is correct
33 Correct 7 ms 13012 KB Output is correct
34 Correct 7 ms 13012 KB Output is correct
35 Correct 7 ms 13140 KB Output is correct
36 Correct 7 ms 13012 KB Output is correct
37 Correct 16 ms 16180 KB Output is correct
38 Correct 135 ms 37036 KB Output is correct
39 Correct 135 ms 37112 KB Output is correct
40 Correct 111 ms 36976 KB Output is correct
41 Correct 129 ms 36856 KB Output is correct
42 Correct 116 ms 36592 KB Output is correct
43 Correct 123 ms 34636 KB Output is correct
44 Correct 115 ms 37052 KB Output is correct
45 Correct 125 ms 37136 KB Output is correct
46 Correct 126 ms 42288 KB Output is correct
47 Correct 154 ms 37196 KB Output is correct
48 Correct 23 ms 16116 KB Output is correct
49 Correct 258 ms 39672 KB Output is correct
50 Correct 212 ms 39716 KB Output is correct
51 Correct 226 ms 39532 KB Output is correct
52 Correct 205 ms 39532 KB Output is correct
53 Correct 264 ms 38236 KB Output is correct
54 Correct 184 ms 32512 KB Output is correct
55 Correct 239 ms 40264 KB Output is correct
56 Correct 220 ms 39644 KB Output is correct
57 Correct 312 ms 43752 KB Output is correct
58 Correct 256 ms 40464 KB Output is correct
59 Correct 80 ms 20112 KB Output is correct
60 Correct 209 ms 39368 KB Output is correct
61 Correct 253 ms 38648 KB Output is correct
62 Correct 243 ms 40316 KB Output is correct
63 Correct 334 ms 44400 KB Output is correct
64 Correct 8 ms 13012 KB Output is correct
65 Correct 8 ms 13012 KB Output is correct
66 Correct 7 ms 13132 KB Output is correct
67 Correct 8 ms 13012 KB Output is correct
68 Correct 8 ms 13012 KB Output is correct
69 Correct 7 ms 13204 KB Output is correct
70 Correct 7 ms 13140 KB Output is correct
71 Correct 7 ms 13140 KB Output is correct
72 Correct 7 ms 13140 KB Output is correct
73 Correct 7 ms 13140 KB Output is correct
74 Correct 140 ms 42160 KB Output is correct
75 Correct 113 ms 37140 KB Output is correct
76 Correct 129 ms 37196 KB Output is correct
77 Correct 144 ms 40068 KB Output is correct
78 Correct 56 ms 22956 KB Output is correct
79 Correct 53 ms 28108 KB Output is correct
80 Correct 111 ms 37704 KB Output is correct
81 Correct 168 ms 44612 KB Output is correct
82 Correct 165 ms 47520 KB Output is correct
83 Correct 170 ms 49168 KB Output is correct
84 Correct 131 ms 41804 KB Output is correct
85 Correct 186 ms 48216 KB Output is correct
86 Correct 82 ms 23864 KB Output is correct
87 Correct 208 ms 39688 KB Output is correct
88 Correct 219 ms 39592 KB Output is correct
89 Correct 294 ms 41192 KB Output is correct
90 Correct 138 ms 27304 KB Output is correct
91 Correct 186 ms 34728 KB Output is correct
92 Correct 252 ms 39880 KB Output is correct
93 Correct 307 ms 46720 KB Output is correct
94 Correct 315 ms 49400 KB Output is correct
95 Correct 285 ms 50736 KB Output is correct
96 Correct 327 ms 44032 KB Output is correct
97 Correct 332 ms 46188 KB Output is correct