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Submission #525563

# Submission time Handle Problem Language Result Execution time Memory
525563 2022-02-12T00:52:18 Z mjhmjh1104 Mountains and Valleys (CCO20_day1problem3) C++17
3 / 25
 1451 ms 108400 KB 
#include <cstdio>
#include <vector>
#include <utility>
#include <algorithm>
using namespace std;

int n, m, dp[20][20971520];
vector<int> tree[200006];
vector<pair<int, int>> adj[200006];

int f(int x, int y) {
    if (dp[x][y] + 1) return dp[x][y];
    if (!y) return dp[x][y] = 0;
    dp[x][y] = (int)1e9;
    for (auto &i: adj[x]) dp[x][y] = min(dp[x][y], i.second + f(i.first, y & ~(1 << i.first)));
    for (auto &i: tree[x]) dp[x][y] = min(dp[x][y], 1 + f(i, y & ~(1 << i)));
    return dp[x][y];
}

int lt[5006][5006], dist[200006];

void dfs(int x, int y, int dist = 0, int prev = -1) {
    lt[y][x] = dist;
    for (auto &i: tree[x]) if (i != prev) dfs(i, y, dist + 1, x);
}

int dfs_dist(int x, int prev = -1) {
    int ret = x;
    for (auto &i: tree[x]) if (i != prev) {
        dist[i] = 1 + dist[x];
        int t = dfs_dist(i, x);
        if (dist[t] > dist[ret]) ret = t;
    }
    return ret;
}

int main() {
    scanf("%d%d", &n, &m);
    while (m--) {
        int x, y, w;
        scanf("%d%d%d", &x, &y, &w);
        if (w == 1) {
            tree[x].push_back(y);
            tree[y].push_back(x);
        } else {
            adj[x].push_back({ y, w });
            adj[y].push_back({ x, w });
        }
    }
    if (n <= 20) {
        for (int i = 0; i < n; i++) for (int j = 0; j < 1 << n; j++) dp[i][j] = -1;
        int res = (int)1e9;
        for (int i = 0; i < n; i++) res = min(res, f(i, (1 << n) - 1 ^ 1 << i));
        printf("%d", res);
        return 0;
    }
    for (int i = 0; i < n; i++) dfs(i, i);
    int t = dfs_dist(dist[0] = 0);
    dist[t] = 0;
    int zero = 2 * (n - 1) - dist[dfs_dist(t)], one = (int)1e9, two = (int)1e9, three = (int)1e9;
    for (int i = 0; i < n; i++) for (auto &j: adj[i]) if (i < j.first) one = min(one, j.second + 2 * (n - 1) - lt[i][j.first]);
    for (int i = 0; i < n; i++) for (auto &j: adj[i]) if (i < j.first) for (int k = 0; k < n; k++) for (auto &l: adj[k]) if (k < l.first) {
        two = min(two, j.second + 2 * (n - 1) - lt[i][l.first] - lt[k][j.first]);
        two = min(two, j.second + l.second + 2 * (n - 1) - lt[i][k] - lt[l.first][j.first]);
    }
    printf("%d", min({ zero, one, two, three }));
}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:53:66: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   53 |         for (int i = 0; i < n; i++) res = min(res, f(i, (1 << n) - 1 ^ 1 << i));
      |                                                         ~~~~~~~~~^~~
Main.cpp:38:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   38 |     scanf("%d%d", &n, &m);
      |     ~~~~~^~~~~~~~~~~~~~~~
Main.cpp:41:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   41 |         scanf("%d%d%d", &x, &y, &w);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9676 KB Output is correct
2 Correct 5 ms 9704 KB Output is correct
3 Correct 5 ms 9660 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9716 KB Output is correct
7 Correct 7 ms 9676 KB Output is correct
8 Correct 5 ms 9704 KB Output is correct
9 Correct 5 ms 9732 KB Output is correct
10 Correct 5 ms 9676 KB Output is correct
11 Correct 5 ms 9676 KB Output is correct
12 Correct 5 ms 9676 KB Output is correct
13 Correct 5 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 6 ms 9676 KB Output is correct

Subtask #2
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9676 KB Output is correct
2 Correct 5 ms 9704 KB Output is correct
3 Correct 5 ms 9660 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9716 KB Output is correct
7 Correct 7 ms 9676 KB Output is correct
8 Correct 5 ms 9704 KB Output is correct
9 Correct 5 ms 9732 KB Output is correct
10 Correct 5 ms 9676 KB Output is correct
11 Correct 5 ms 9676 KB Output is correct
12 Correct 5 ms 9676 KB Output is correct
13 Correct 5 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 6 ms 9676 KB Output is correct
16 Correct 4 ms 9676 KB Output is correct
17 Correct 6 ms 9644 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9980 KB Output is correct
20 Correct 6 ms 11724 KB Output is correct
21 Correct 7 ms 11632 KB Output is correct
22 Correct 185 ms 91908 KB Output is correct
23 Correct 48 ms 48716 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28236 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 279 ms 91916 KB Output is correct
28 Correct 21 ms 28268 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 22 ms 28160 KB Output is correct
31 Correct 28 ms 28256 KB Output is correct
32 Correct 11 ms 11728 KB Output is correct
33 Correct 5 ms 9652 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 16 ms 28200 KB Output is correct

Subtask #3
0.0 / 2.0

# Verdict Execution time Memory Grader output
1 Incorrect 1451 ms 108400 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9676 KB Output is correct
2 Correct 5 ms 9704 KB Output is correct
3 Correct 5 ms 9660 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9716 KB Output is correct
7 Correct 7 ms 9676 KB Output is correct
8 Correct 5 ms 9704 KB Output is correct
9 Correct 5 ms 9732 KB Output is correct
10 Correct 5 ms 9676 KB Output is correct
11 Correct 5 ms 9676 KB Output is correct
12 Correct 5 ms 9676 KB Output is correct
13 Correct 5 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 6 ms 9676 KB Output is correct
16 Correct 4 ms 9676 KB Output is correct
17 Correct 6 ms 9644 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9980 KB Output is correct
20 Correct 6 ms 11724 KB Output is correct
21 Correct 7 ms 11632 KB Output is correct
22 Correct 185 ms 91908 KB Output is correct
23 Correct 48 ms 48716 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28236 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 279 ms 91916 KB Output is correct
28 Correct 21 ms 28268 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 22 ms 28160 KB Output is correct
31 Correct 28 ms 28256 KB Output is correct
32 Correct 11 ms 11728 KB Output is correct
33 Correct 5 ms 9652 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 16 ms 28200 KB Output is correct
36 Incorrect 5 ms 10060 KB Output isn't correct
37 Halted 0 ms 0 KB -

Subtask #5
0.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9676 KB Output is correct
2 Correct 5 ms 9704 KB Output is correct
3 Correct 5 ms 9660 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9716 KB Output is correct
7 Correct 7 ms 9676 KB Output is correct
8 Correct 5 ms 9704 KB Output is correct
9 Correct 5 ms 9732 KB Output is correct
10 Correct 5 ms 9676 KB Output is correct
11 Correct 5 ms 9676 KB Output is correct
12 Correct 5 ms 9676 KB Output is correct
13 Correct 5 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 6 ms 9676 KB Output is correct
16 Correct 4 ms 9676 KB Output is correct
17 Correct 6 ms 9644 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9980 KB Output is correct
20 Correct 6 ms 11724 KB Output is correct
21 Correct 7 ms 11632 KB Output is correct
22 Correct 185 ms 91908 KB Output is correct
23 Correct 48 ms 48716 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28236 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 279 ms 91916 KB Output is correct
28 Correct 21 ms 28268 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 22 ms 28160 KB Output is correct
31 Correct 28 ms 28256 KB Output is correct
32 Correct 11 ms 11728 KB Output is correct
33 Correct 5 ms 9652 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 16 ms 28200 KB Output is correct
36 Incorrect 5 ms 10060 KB Output isn't correct
37 Halted 0 ms 0 KB -

Subtask #6
0.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9676 KB Output is correct
2 Correct 5 ms 9704 KB Output is correct
3 Correct 5 ms 9660 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9716 KB Output is correct
7 Correct 7 ms 9676 KB Output is correct
8 Correct 5 ms 9704 KB Output is correct
9 Correct 5 ms 9732 KB Output is correct
10 Correct 5 ms 9676 KB Output is correct
11 Correct 5 ms 9676 KB Output is correct
12 Correct 5 ms 9676 KB Output is correct
13 Correct 5 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 6 ms 9676 KB Output is correct
16 Correct 4 ms 9676 KB Output is correct
17 Correct 6 ms 9644 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9980 KB Output is correct
20 Correct 6 ms 11724 KB Output is correct
21 Correct 7 ms 11632 KB Output is correct
22 Correct 185 ms 91908 KB Output is correct
23 Correct 48 ms 48716 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28236 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 279 ms 91916 KB Output is correct
28 Correct 21 ms 28268 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 22 ms 28160 KB Output is correct
31 Correct 28 ms 28256 KB Output is correct
32 Correct 11 ms 11728 KB Output is correct
33 Correct 5 ms 9652 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 16 ms 28200 KB Output is correct
36 Incorrect 1451 ms 108400 KB Output isn't correct
37 Halted 0 ms 0 KB -

Subtask #7
0.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9676 KB Output is correct
2 Correct 5 ms 9704 KB Output is correct
3 Correct 5 ms 9660 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9716 KB Output is correct
7 Correct 7 ms 9676 KB Output is correct
8 Correct 5 ms 9704 KB Output is correct
9 Correct 5 ms 9732 KB Output is correct
10 Correct 5 ms 9676 KB Output is correct
11 Correct 5 ms 9676 KB Output is correct
12 Correct 5 ms 9676 KB Output is correct
13 Correct 5 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 6 ms 9676 KB Output is correct
16 Correct 4 ms 9676 KB Output is correct
17 Correct 6 ms 9644 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9980 KB Output is correct
20 Correct 6 ms 11724 KB Output is correct
21 Correct 7 ms 11632 KB Output is correct
22 Correct 185 ms 91908 KB Output is correct
23 Correct 48 ms 48716 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28236 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 279 ms 91916 KB Output is correct
28 Correct 21 ms 28268 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 22 ms 28160 KB Output is correct
31 Correct 28 ms 28256 KB Output is correct
32 Correct 11 ms 11728 KB Output is correct
33 Correct 5 ms 9652 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 16 ms 28200 KB Output is correct
36 Incorrect 1451 ms 108400 KB Output isn't correct
37 Halted 0 ms 0 KB -

Subtask #8
0.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9676 KB Output is correct
2 Correct 5 ms 9704 KB Output is correct
3 Correct 5 ms 9660 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9716 KB Output is correct
7 Correct 7 ms 9676 KB Output is correct
8 Correct 5 ms 9704 KB Output is correct
9 Correct 5 ms 9732 KB Output is correct
10 Correct 5 ms 9676 KB Output is correct
11 Correct 5 ms 9676 KB Output is correct
12 Correct 5 ms 9676 KB Output is correct
13 Correct 5 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 6 ms 9676 KB Output is correct
16 Correct 4 ms 9676 KB Output is correct
17 Correct 6 ms 9644 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9980 KB Output is correct
20 Correct 6 ms 11724 KB Output is correct
21 Correct 7 ms 11632 KB Output is correct
22 Correct 185 ms 91908 KB Output is correct
23 Correct 48 ms 48716 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28236 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 279 ms 91916 KB Output is correct
28 Correct 21 ms 28268 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 22 ms 28160 KB Output is correct
31 Correct 28 ms 28256 KB Output is correct
32 Correct 11 ms 11728 KB Output is correct
33 Correct 5 ms 9652 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 16 ms 28200 KB Output is correct
36 Incorrect 1451 ms 108400 KB Output isn't correct
37 Halted 0 ms 0 KB -