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Submission #525580

# Submission time Handle Problem Language Result Execution time Memory
525580 2022-02-12T02:42:13 Z mjhmjh1104 Mountains and Valleys (CCO20_day1problem3) C++17
3 / 25
 7000 ms 108484 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], par[200006], sz[200006];
bool cl[200006];

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

int dfs(int x, int prev = -1) {
    par[x] = prev;
    sz[x] = 1;
    for (auto &i: tree[x]) if (i != prev) {
        sz[x] = max(sz[x], dfs(i, x) + 1);
    }
    return sz[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_lt(i, i);
    int t = dfs_dist(dist[0] = 0);
    dist[t] = 0;
    int s = dfs_dist(t);
    int zero = 2 * (n - 1) - dist[s], one = (int)1e9, two = (int)1e9;
    for (int i = 0; i < n; i++) for (auto &j: adj[i]) if (i < j.first) {
        int curr = j.second + 2 * (n - 1) - lt[i][j.first] - 1;
        dfs(i);
        int x = j.first, pv = -1;
        vector<int> v;
        while (x != -1) {
            v.emplace_back();
            for (auto &i: tree[x]) if (i != pv && i != par[x]) v.back() = max(v.back(), sz[i]);
            pv = x;
            x = par[x];
        }
        int y = -1;
        for (int i = 0; i < (int)v.size(); i++) for (int j = i + 1; j < (int)v.size(); j++) y = max(y, v[i] + v[j] - (j - i - 1));
        curr -= y;
        one = min(one, curr);
    }
    printf("%d", min({ zero, one, two }));
}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:63:66: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   63 |         for (int i = 0; i < n; i++) res = min(res, f(i, (1 << n) - 1 ^ 1 << i));
      |                                                         ~~~~~~~~~^~~
Main.cpp:48:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   48 |     scanf("%d%d", &n, &m);
      |     ~~~~~^~~~~~~~~~~~~~~~
Main.cpp:51:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   51 |         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 9676 KB Output is correct
3 Correct 5 ms 9676 KB Output is correct
4 Correct 5 ms 9656 KB Output is correct
5 Correct 4 ms 9676 KB Output is correct
6 Correct 5 ms 9676 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 5 ms 9676 KB Output is correct
9 Correct 5 ms 9676 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 7 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 5 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 9676 KB Output is correct
3 Correct 5 ms 9676 KB Output is correct
4 Correct 5 ms 9656 KB Output is correct
5 Correct 4 ms 9676 KB Output is correct
6 Correct 5 ms 9676 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 5 ms 9676 KB Output is correct
9 Correct 5 ms 9676 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 7 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 7 ms 9804 KB Output is correct
18 Correct 5 ms 9748 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 6 ms 11608 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91924 KB Output is correct
23 Correct 51 ms 48812 KB Output is correct
24 Correct 42 ms 48788 KB Output is correct
25 Correct 39 ms 28236 KB Output is correct
26 Correct 57 ms 28236 KB Output is correct
27 Correct 273 ms 91804 KB Output is correct
28 Correct 20 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 25 ms 28212 KB Output is correct
31 Correct 29 ms 28192 KB Output is correct
32 Correct 11 ms 11724 KB Output is correct
33 Correct 6 ms 9784 KB Output is correct
34 Correct 14 ms 28144 KB Output is correct
35 Correct 17 ms 28188 KB Output is correct

Subtask #3
0.0 / 2.0

# Verdict Execution time Memory Grader output
1 Execution timed out 7092 ms 108484 KB Time limit exceeded
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 9676 KB Output is correct
3 Correct 5 ms 9676 KB Output is correct
4 Correct 5 ms 9656 KB Output is correct
5 Correct 4 ms 9676 KB Output is correct
6 Correct 5 ms 9676 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 5 ms 9676 KB Output is correct
9 Correct 5 ms 9676 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 7 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 7 ms 9804 KB Output is correct
18 Correct 5 ms 9748 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 6 ms 11608 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91924 KB Output is correct
23 Correct 51 ms 48812 KB Output is correct
24 Correct 42 ms 48788 KB Output is correct
25 Correct 39 ms 28236 KB Output is correct
26 Correct 57 ms 28236 KB Output is correct
27 Correct 273 ms 91804 KB Output is correct
28 Correct 20 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 25 ms 28212 KB Output is correct
31 Correct 29 ms 28192 KB Output is correct
32 Correct 11 ms 11724 KB Output is correct
33 Correct 6 ms 9784 KB Output is correct
34 Correct 14 ms 28144 KB Output is correct
35 Correct 17 ms 28188 KB Output is correct
36 Correct 6 ms 10060 KB Output is correct
37 Correct 6 ms 10060 KB Output is correct
38 Correct 7 ms 10060 KB Output is correct
39 Incorrect 6 ms 10020 KB Output isn't correct
40 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 9676 KB Output is correct
3 Correct 5 ms 9676 KB Output is correct
4 Correct 5 ms 9656 KB Output is correct
5 Correct 4 ms 9676 KB Output is correct
6 Correct 5 ms 9676 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 5 ms 9676 KB Output is correct
9 Correct 5 ms 9676 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 7 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 7 ms 9804 KB Output is correct
18 Correct 5 ms 9748 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 6 ms 11608 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91924 KB Output is correct
23 Correct 51 ms 48812 KB Output is correct
24 Correct 42 ms 48788 KB Output is correct
25 Correct 39 ms 28236 KB Output is correct
26 Correct 57 ms 28236 KB Output is correct
27 Correct 273 ms 91804 KB Output is correct
28 Correct 20 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 25 ms 28212 KB Output is correct
31 Correct 29 ms 28192 KB Output is correct
32 Correct 11 ms 11724 KB Output is correct
33 Correct 6 ms 9784 KB Output is correct
34 Correct 14 ms 28144 KB Output is correct
35 Correct 17 ms 28188 KB Output is correct
36 Correct 6 ms 10060 KB Output is correct
37 Correct 6 ms 10060 KB Output is correct
38 Correct 7 ms 10060 KB Output is correct
39 Incorrect 6 ms 10020 KB Output isn't correct
40 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 9676 KB Output is correct
3 Correct 5 ms 9676 KB Output is correct
4 Correct 5 ms 9656 KB Output is correct
5 Correct 4 ms 9676 KB Output is correct
6 Correct 5 ms 9676 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 5 ms 9676 KB Output is correct
9 Correct 5 ms 9676 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 7 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 7 ms 9804 KB Output is correct
18 Correct 5 ms 9748 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 6 ms 11608 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91924 KB Output is correct
23 Correct 51 ms 48812 KB Output is correct
24 Correct 42 ms 48788 KB Output is correct
25 Correct 39 ms 28236 KB Output is correct
26 Correct 57 ms 28236 KB Output is correct
27 Correct 273 ms 91804 KB Output is correct
28 Correct 20 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 25 ms 28212 KB Output is correct
31 Correct 29 ms 28192 KB Output is correct
32 Correct 11 ms 11724 KB Output is correct
33 Correct 6 ms 9784 KB Output is correct
34 Correct 14 ms 28144 KB Output is correct
35 Correct 17 ms 28188 KB Output is correct
36 Execution timed out 7092 ms 108484 KB Time limit exceeded
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 9676 KB Output is correct
3 Correct 5 ms 9676 KB Output is correct
4 Correct 5 ms 9656 KB Output is correct
5 Correct 4 ms 9676 KB Output is correct
6 Correct 5 ms 9676 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 5 ms 9676 KB Output is correct
9 Correct 5 ms 9676 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 7 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 7 ms 9804 KB Output is correct
18 Correct 5 ms 9748 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 6 ms 11608 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91924 KB Output is correct
23 Correct 51 ms 48812 KB Output is correct
24 Correct 42 ms 48788 KB Output is correct
25 Correct 39 ms 28236 KB Output is correct
26 Correct 57 ms 28236 KB Output is correct
27 Correct 273 ms 91804 KB Output is correct
28 Correct 20 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 25 ms 28212 KB Output is correct
31 Correct 29 ms 28192 KB Output is correct
32 Correct 11 ms 11724 KB Output is correct
33 Correct 6 ms 9784 KB Output is correct
34 Correct 14 ms 28144 KB Output is correct
35 Correct 17 ms 28188 KB Output is correct
36 Execution timed out 7092 ms 108484 KB Time limit exceeded
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 9676 KB Output is correct
3 Correct 5 ms 9676 KB Output is correct
4 Correct 5 ms 9656 KB Output is correct
5 Correct 4 ms 9676 KB Output is correct
6 Correct 5 ms 9676 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 5 ms 9676 KB Output is correct
9 Correct 5 ms 9676 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 7 ms 9688 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 7 ms 9804 KB Output is correct
18 Correct 5 ms 9748 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 6 ms 11608 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91924 KB Output is correct
23 Correct 51 ms 48812 KB Output is correct
24 Correct 42 ms 48788 KB Output is correct
25 Correct 39 ms 28236 KB Output is correct
26 Correct 57 ms 28236 KB Output is correct
27 Correct 273 ms 91804 KB Output is correct
28 Correct 20 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 25 ms 28212 KB Output is correct
31 Correct 29 ms 28192 KB Output is correct
32 Correct 11 ms 11724 KB Output is correct
33 Correct 6 ms 9784 KB Output is correct
34 Correct 14 ms 28144 KB Output is correct
35 Correct 17 ms 28188 KB Output is correct
36 Execution timed out 7092 ms 108484 KB Time limit exceeded
37 Halted 0 ms 0 KB -