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Submission #726749

# Submission time Handle Problem Language Result Execution time Memory
726749 2023-04-19T10:05:23 Z SanguineChameleon Swapping Cities (APIO20_swap) C++17
100 / 100
 214 ms 26752 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;

const int maxN = 1e5 + 20;
const int inf = 1e9 + 20;
bool flag[maxN];
vector<pair<int, int>> adj[maxN];
int deg[maxN];
int depth[maxN];
pair<int, int> par[maxN];
int T[maxN];
vector<pair<int, int>> tree;
int ROOT;
bool sub1, sub2;
int N, M, lim;
bool f1, f2;

int root(int u) {
	if (par[u].first == -1) {
		return u;
	}
	return root(par[u].first);
}

void update(int u, int v, int w) {
	deg[u]++;
	deg[v]++;
	sub2 &= (deg[u] <= 2);
	sub2 &= (deg[v] <= 2);
	int ru = root(u);
	int rv = root(v);
	if (ru == rv) {
		T[ru] = min(T[ru], w);
		return;
	}
	if (depth[ru] > depth[rv]) {
		swap(ru, rv);
	}
	T[rv] = min(T[rv], max(T[ru], w));
	if (deg[u] >= 3 || deg[v] >= 3) {
		T[rv] = min(T[rv], w);
	}
	par[ru] = {rv, w};
	tree.push_back({ru, rv});
	if (depth[ru] == depth[rv]) {
		depth[rv]++;
	}
}

void init(int _N, int _M, vector<int> U, vector<int> V, vector<int> W) {
	N = _N;
	M = _M;
	sub1 = (M == (N - 1));
	sub2 = true;
	vector<pair<int, pair<int, int>>> edges(M);
	for (int i = 0; i < M; i++) {
		adj[U[i]].push_back({V[i], W[i]});
		adj[V[i]].push_back({U[i], W[i]});
		edges[i] = make_pair(W[i], make_pair(U[i], V[i]));
	}
	for (int i = 0; i < N; i++) {
		T[i] = inf;
		par[i] = {-1, -1};
	}
	sort(edges.begin(), edges.end());
	for (auto e: edges) {
		int w = e.first;
		int u = e.second.first;
		int v = e.second.second;
		update(u, v, w);
	}
	for (int i = 0; i < N; i++) {
		depth[i] = -1;
	}
	ROOT = root(0);
	depth[ROOT] = 1;
	reverse(tree.begin(), tree.end());
	for (auto e: tree) {
		int u = e.first;
		int v = e.second;
		assert(depth[v] != -1);
		depth[u] = depth[v] + 1;
	}
	for (int i = 0; i < N; i++) {
		assert(depth[i] != -1);
		if (i != ROOT) {
			assert(par[i].first != -1);
		}
	}
}

void dfs(int u) {
	flag[u] = true;
	int cnt = 0;
	for (auto e: adj[u]) {
		int v = e.first;
		int w = e.second;
		if (w <= lim) {
			cnt++;
		}
		if (w <= lim && !flag[v]) {
			dfs(v);
		}
	}
	f1 &= (cnt <= 2);
	f2 |= (cnt <= 1);
}

int getMinimumFuelCapacity(int u, int v) {
	int tmp_u = u;
	int tmp_v = v;
	int res1 = 0;
	int res2 = inf;
	if (depth[u] < depth[v]) {
		swap(u, v);
	}
	while (depth[u] != depth[v]) {
		res1 = max(res1, par[u].second);
		u = par[u].first;
		assert(u != -1);
	}
	while (u != v) {
		res1 = max(res1, par[u].second);
		u = par[u].first;
		res1 = max(res1, par[v].second);
		v = par[v].first;
		assert(u != -1);
		assert(v != -1);
	}
	u = tmp_u;
	int cur = 0;
	int res7 = inf;
	while (u != -1) {
		res7 = min(res7, max(T[u], cur));
		cur = max(cur, par[u].second);
		u = par[u].first;
	}
	v = tmp_v;
	cur = 0;
	int res8 = inf;
	while (v != -1) {
		res8 = min(res8, max(T[v], cur));
		cur = max(cur, par[v].second);
		v = par[v].first;
	}
	int res = max(res1, min(res7, res8));
	if (res == inf) {
		return -1;
	}
	else {
		return res;
	}
}

Compilation message

swap.cpp: In function 'int getMinimumFuelCapacity(int, int)':
swap.cpp:114:6: warning: unused variable 'res2' [-Wunused-variable]
  114 |  int res2 = inf;
      |      ^~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 3 ms 2772 KB Output is correct
8 Correct 2 ms 2676 KB Output is correct
9 Correct 56 ms 12136 KB Output is correct
10 Correct 71 ms 14028 KB Output is correct
11 Correct 61 ms 13888 KB Output is correct
12 Correct 76 ms 14436 KB Output is correct
13 Correct 65 ms 14192 KB Output is correct
14 Correct 61 ms 12536 KB Output is correct
15 Correct 135 ms 17992 KB Output is correct
16 Correct 141 ms 17716 KB Output is correct
17 Correct 139 ms 18400 KB Output is correct
18 Correct 124 ms 18056 KB Output is correct
19 Correct 63 ms 9528 KB Output is correct
20 Correct 137 ms 17780 KB Output is correct
21 Correct 139 ms 17844 KB Output is correct
22 Correct 140 ms 18416 KB Output is correct
23 Correct 124 ms 18388 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 131 ms 18048 KB Output is correct
4 Correct 111 ms 18428 KB Output is correct
5 Correct 113 ms 18428 KB Output is correct
6 Correct 110 ms 18412 KB Output is correct
7 Correct 109 ms 18500 KB Output is correct
8 Correct 108 ms 17980 KB Output is correct
9 Correct 104 ms 18316 KB Output is correct
10 Correct 109 ms 17936 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 3 ms 2772 KB Output is correct
8 Correct 2 ms 2676 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 3 ms 2676 KB Output is correct
11 Correct 2 ms 2680 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 2 ms 2772 KB Output is correct
16 Correct 2 ms 2772 KB Output is correct
17 Correct 2 ms 2672 KB Output is correct
18 Correct 3 ms 2772 KB Output is correct
19 Correct 2 ms 2772 KB Output is correct
20 Correct 2 ms 2676 KB Output is correct
21 Correct 2 ms 2772 KB Output is correct
22 Correct 2 ms 2772 KB Output is correct
23 Correct 2 ms 2676 KB Output is correct
24 Correct 3 ms 2772 KB Output is correct
25 Correct 3 ms 2772 KB Output is correct
26 Correct 3 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 3 ms 2804 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2668 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
7 Correct 2 ms 2772 KB Output is correct
8 Correct 3 ms 2772 KB Output is correct
9 Correct 2 ms 2676 KB Output is correct
10 Correct 56 ms 12136 KB Output is correct
11 Correct 71 ms 14028 KB Output is correct
12 Correct 61 ms 13888 KB Output is correct
13 Correct 76 ms 14436 KB Output is correct
14 Correct 65 ms 14192 KB Output is correct
15 Correct 3 ms 2676 KB Output is correct
16 Correct 2 ms 2680 KB Output is correct
17 Correct 2 ms 2772 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 2 ms 2772 KB Output is correct
20 Correct 2 ms 2772 KB Output is correct
21 Correct 2 ms 2772 KB Output is correct
22 Correct 2 ms 2672 KB Output is correct
23 Correct 3 ms 2772 KB Output is correct
24 Correct 2 ms 2772 KB Output is correct
25 Correct 2 ms 2676 KB Output is correct
26 Correct 2 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 2 ms 2676 KB Output is correct
29 Correct 3 ms 2772 KB Output is correct
30 Correct 3 ms 2772 KB Output is correct
31 Correct 3 ms 2772 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 3 ms 2804 KB Output is correct
34 Correct 9 ms 4436 KB Output is correct
35 Correct 57 ms 14188 KB Output is correct
36 Correct 64 ms 14180 KB Output is correct
37 Correct 63 ms 14184 KB Output is correct
38 Correct 57 ms 14040 KB Output is correct
39 Correct 62 ms 14040 KB Output is correct
40 Correct 52 ms 13292 KB Output is correct
41 Correct 63 ms 14456 KB Output is correct
42 Correct 70 ms 14244 KB Output is correct
43 Correct 63 ms 14156 KB Output is correct
44 Correct 63 ms 14948 KB Output is correct
45 Correct 88 ms 18184 KB Output is correct
46 Correct 62 ms 14196 KB Output is correct
47 Correct 57 ms 14180 KB Output is correct
48 Correct 81 ms 15084 KB Output is correct
49 Correct 77 ms 15892 KB Output is correct
50 Correct 60 ms 12768 KB Output is correct
51 Correct 77 ms 15792 KB Output is correct
52 Correct 101 ms 20092 KB Output is correct
53 Correct 117 ms 21452 KB Output is correct
54 Correct 126 ms 22976 KB Output is correct
55 Correct 72 ms 14232 KB Output is correct
56 Correct 116 ms 20912 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 3 ms 2772 KB Output is correct
8 Correct 2 ms 2676 KB Output is correct
9 Correct 56 ms 12136 KB Output is correct
10 Correct 71 ms 14028 KB Output is correct
11 Correct 61 ms 13888 KB Output is correct
12 Correct 76 ms 14436 KB Output is correct
13 Correct 65 ms 14192 KB Output is correct
14 Correct 61 ms 12536 KB Output is correct
15 Correct 135 ms 17992 KB Output is correct
16 Correct 141 ms 17716 KB Output is correct
17 Correct 139 ms 18400 KB Output is correct
18 Correct 124 ms 18056 KB Output is correct
19 Correct 131 ms 18048 KB Output is correct
20 Correct 111 ms 18428 KB Output is correct
21 Correct 113 ms 18428 KB Output is correct
22 Correct 110 ms 18412 KB Output is correct
23 Correct 109 ms 18500 KB Output is correct
24 Correct 108 ms 17980 KB Output is correct
25 Correct 104 ms 18316 KB Output is correct
26 Correct 109 ms 17936 KB Output is correct
27 Correct 3 ms 2676 KB Output is correct
28 Correct 2 ms 2680 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 2 ms 2644 KB Output is correct
31 Correct 2 ms 2772 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 2 ms 2772 KB Output is correct
34 Correct 2 ms 2672 KB Output is correct
35 Correct 3 ms 2772 KB Output is correct
36 Correct 9 ms 4436 KB Output is correct
37 Correct 57 ms 14188 KB Output is correct
38 Correct 64 ms 14180 KB Output is correct
39 Correct 63 ms 14184 KB Output is correct
40 Correct 57 ms 14040 KB Output is correct
41 Correct 62 ms 14040 KB Output is correct
42 Correct 52 ms 13292 KB Output is correct
43 Correct 63 ms 14456 KB Output is correct
44 Correct 70 ms 14244 KB Output is correct
45 Correct 63 ms 14156 KB Output is correct
46 Correct 63 ms 14948 KB Output is correct
47 Correct 15 ms 4616 KB Output is correct
48 Correct 137 ms 18032 KB Output is correct
49 Correct 159 ms 18164 KB Output is correct
50 Correct 145 ms 18016 KB Output is correct
51 Correct 138 ms 18060 KB Output is correct
52 Correct 137 ms 17376 KB Output is correct
53 Correct 127 ms 15740 KB Output is correct
54 Correct 161 ms 18472 KB Output is correct
55 Correct 149 ms 18012 KB Output is correct
56 Correct 163 ms 18052 KB Output is correct
57 Correct 147 ms 18988 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2668 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
7 Correct 2 ms 2772 KB Output is correct
8 Correct 3 ms 2772 KB Output is correct
9 Correct 2 ms 2676 KB Output is correct
10 Correct 56 ms 12136 KB Output is correct
11 Correct 71 ms 14028 KB Output is correct
12 Correct 61 ms 13888 KB Output is correct
13 Correct 76 ms 14436 KB Output is correct
14 Correct 65 ms 14192 KB Output is correct
15 Correct 61 ms 12536 KB Output is correct
16 Correct 135 ms 17992 KB Output is correct
17 Correct 141 ms 17716 KB Output is correct
18 Correct 139 ms 18400 KB Output is correct
19 Correct 124 ms 18056 KB Output is correct
20 Correct 131 ms 18048 KB Output is correct
21 Correct 111 ms 18428 KB Output is correct
22 Correct 113 ms 18428 KB Output is correct
23 Correct 110 ms 18412 KB Output is correct
24 Correct 109 ms 18500 KB Output is correct
25 Correct 108 ms 17980 KB Output is correct
26 Correct 104 ms 18316 KB Output is correct
27 Correct 109 ms 17936 KB Output is correct
28 Correct 3 ms 2676 KB Output is correct
29 Correct 2 ms 2680 KB Output is correct
30 Correct 2 ms 2772 KB Output is correct
31 Correct 2 ms 2644 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 2 ms 2772 KB Output is correct
34 Correct 2 ms 2772 KB Output is correct
35 Correct 2 ms 2672 KB Output is correct
36 Correct 3 ms 2772 KB Output is correct
37 Correct 9 ms 4436 KB Output is correct
38 Correct 57 ms 14188 KB Output is correct
39 Correct 64 ms 14180 KB Output is correct
40 Correct 63 ms 14184 KB Output is correct
41 Correct 57 ms 14040 KB Output is correct
42 Correct 62 ms 14040 KB Output is correct
43 Correct 52 ms 13292 KB Output is correct
44 Correct 63 ms 14456 KB Output is correct
45 Correct 70 ms 14244 KB Output is correct
46 Correct 63 ms 14156 KB Output is correct
47 Correct 63 ms 14948 KB Output is correct
48 Correct 15 ms 4616 KB Output is correct
49 Correct 137 ms 18032 KB Output is correct
50 Correct 159 ms 18164 KB Output is correct
51 Correct 145 ms 18016 KB Output is correct
52 Correct 138 ms 18060 KB Output is correct
53 Correct 137 ms 17376 KB Output is correct
54 Correct 127 ms 15740 KB Output is correct
55 Correct 161 ms 18472 KB Output is correct
56 Correct 149 ms 18012 KB Output is correct
57 Correct 163 ms 18052 KB Output is correct
58 Correct 147 ms 18988 KB Output is correct
59 Correct 63 ms 9528 KB Output is correct
60 Correct 137 ms 17780 KB Output is correct
61 Correct 139 ms 17844 KB Output is correct
62 Correct 140 ms 18416 KB Output is correct
63 Correct 124 ms 18388 KB Output is correct
64 Correct 2 ms 2772 KB Output is correct
65 Correct 2 ms 2676 KB Output is correct
66 Correct 2 ms 2772 KB Output is correct
67 Correct 2 ms 2772 KB Output is correct
68 Correct 2 ms 2676 KB Output is correct
69 Correct 3 ms 2772 KB Output is correct
70 Correct 3 ms 2772 KB Output is correct
71 Correct 3 ms 2772 KB Output is correct
72 Correct 2 ms 2772 KB Output is correct
73 Correct 3 ms 2804 KB Output is correct
74 Correct 88 ms 18184 KB Output is correct
75 Correct 62 ms 14196 KB Output is correct
76 Correct 57 ms 14180 KB Output is correct
77 Correct 81 ms 15084 KB Output is correct
78 Correct 77 ms 15892 KB Output is correct
79 Correct 60 ms 12768 KB Output is correct
80 Correct 77 ms 15792 KB Output is correct
81 Correct 101 ms 20092 KB Output is correct
82 Correct 117 ms 21452 KB Output is correct
83 Correct 126 ms 22976 KB Output is correct
84 Correct 72 ms 14232 KB Output is correct
85 Correct 116 ms 20912 KB Output is correct
86 Correct 49 ms 8992 KB Output is correct
87 Correct 177 ms 18012 KB Output is correct
88 Correct 142 ms 17996 KB Output is correct
89 Correct 134 ms 18224 KB Output is correct
90 Correct 136 ms 18932 KB Output is correct
91 Correct 133 ms 18508 KB Output is correct
92 Correct 148 ms 19088 KB Output is correct
93 Correct 195 ms 23704 KB Output is correct
94 Correct 187 ms 25188 KB Output is correct
95 Correct 214 ms 26752 KB Output is correct
96 Correct 128 ms 18188 KB Output is correct
97 Correct 178 ms 21800 KB Output is correct