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Submission #525565

# Submission time Handle Problem Language Result Execution time Memory
525565 2022-02-12T01:04:03 Z mjhmjh1104 Mountains and Valleys (CCO20_day1problem3) C++17
5 / 25
 818 ms 108440 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], depth[200006];
bool cl[200006];

void dfs(int x, int y, int dist = 0, int prev = -1) {
    par[x] = prev;
    lt[y][x] = dist;
    for (auto &i: tree[x]) if (i != prev) {
        depth[i] = depth[x] + 1;
        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 intersect(int x, int y, int z, int w) {
    int ret = 0;
    for (int i = 0; i < n; i++) cl[i] = false;
    if (depth[x] < depth[y]) swap(x, y);
    if (depth[z] < depth[w]) swap(z, w);
    while (depth[x] > depth[y]) cl[x] = true, x = par[x];
    while (x != y) cl[x] = cl[y] = true, x = par[x], y = par[y];
    while (depth[z] > depth[w]) ret += cl[z], z = par[z];
    while (z != w) ret += cl[z], ret += cl[w], z = par[z], w = par[w];
    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;
    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]);
    if (n <= 500) 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] + intersect(i, l.first, k, j.first));
        two = min(two, j.second + l.second + 2 * (n - 1) - lt[i][k] - lt[l.first][j.first] + intersect(i, k, l.first, j.first));
    }
    printf("%d", min({ zero, one, two }));
}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:70:66: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   70 |         for (int i = 0; i < n; i++) res = min(res, f(i, (1 << n) - 1 ^ 1 << i));
      |                                                         ~~~~~~~~~^~~
Main.cpp:55:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   55 |     scanf("%d%d", &n, &m);
      |     ~~~~~^~~~~~~~~~~~~~~~
Main.cpp:58:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   58 |         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 6 ms 9724 KB Output is correct
3 Correct 5 ms 9684 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 9720 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 6 ms 9676 KB Output is correct
9 Correct 6 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 6 ms 9676 KB Output is correct
13 Correct 6 ms 9676 KB Output is correct
14 Correct 6 ms 9804 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 6 ms 9724 KB Output is correct
3 Correct 5 ms 9684 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 9720 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 6 ms 9676 KB Output is correct
9 Correct 6 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 6 ms 9676 KB Output is correct
13 Correct 6 ms 9676 KB Output is correct
14 Correct 6 ms 9804 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 5 ms 9676 KB Output is correct
18 Correct 5 ms 9792 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 7 ms 11724 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91892 KB Output is correct
23 Correct 46 ms 48808 KB Output is correct
24 Correct 41 ms 48820 KB Output is correct
25 Correct 34 ms 28260 KB Output is correct
26 Correct 63 ms 28248 KB Output is correct
27 Correct 301 ms 91908 KB Output is correct
28 Correct 20 ms 28260 KB Output is correct
29 Correct 32 ms 28264 KB Output is correct
30 Correct 23 ms 28264 KB Output is correct
31 Correct 28 ms 28240 KB Output is correct
32 Correct 11 ms 11708 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28232 KB Output is correct
35 Correct 19 ms 28236 KB Output is correct

Subtask #3
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 818 ms 108300 KB Output is correct
2 Correct 777 ms 108316 KB Output is correct
3 Correct 778 ms 108136 KB Output is correct
4 Correct 731 ms 108228 KB Output is correct
5 Correct 771 ms 108080 KB Output is correct
6 Correct 324 ms 108036 KB Output is correct
7 Correct 760 ms 108264 KB Output is correct
8 Correct 712 ms 108188 KB Output is correct
9 Correct 740 ms 108440 KB Output is correct
10 Correct 749 ms 108120 KB Output is correct
11 Correct 748 ms 108232 KB Output is correct
12 Correct 761 ms 107928 KB Output is correct
13 Correct 729 ms 108084 KB Output is correct
14 Correct 752 ms 108116 KB Output is correct

Subtask #4
0.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9676 KB Output is correct
2 Correct 6 ms 9724 KB Output is correct
3 Correct 5 ms 9684 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 9720 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 6 ms 9676 KB Output is correct
9 Correct 6 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 6 ms 9676 KB Output is correct
13 Correct 6 ms 9676 KB Output is correct
14 Correct 6 ms 9804 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 5 ms 9676 KB Output is correct
18 Correct 5 ms 9792 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 7 ms 11724 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91892 KB Output is correct
23 Correct 46 ms 48808 KB Output is correct
24 Correct 41 ms 48820 KB Output is correct
25 Correct 34 ms 28260 KB Output is correct
26 Correct 63 ms 28248 KB Output is correct
27 Correct 301 ms 91908 KB Output is correct
28 Correct 20 ms 28260 KB Output is correct
29 Correct 32 ms 28264 KB Output is correct
30 Correct 23 ms 28264 KB Output is correct
31 Correct 28 ms 28240 KB Output is correct
32 Correct 11 ms 11708 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28232 KB Output is correct
35 Correct 19 ms 28236 KB Output is correct
36 Correct 12 ms 10060 KB Output is correct
37 Correct 11 ms 10060 KB Output is correct
38 Correct 10 ms 10140 KB Output is correct
39 Correct 9 ms 10060 KB Output is correct
40 Correct 8 ms 10124 KB Output is correct
41 Correct 6 ms 10144 KB Output is correct
42 Correct 10 ms 10060 KB Output is correct
43 Correct 8 ms 10040 KB Output is correct
44 Correct 8 ms 10060 KB Output is correct
45 Incorrect 9 ms 10096 KB Output isn't correct
46 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 6 ms 9724 KB Output is correct
3 Correct 5 ms 9684 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 9720 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 6 ms 9676 KB Output is correct
9 Correct 6 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 6 ms 9676 KB Output is correct
13 Correct 6 ms 9676 KB Output is correct
14 Correct 6 ms 9804 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 5 ms 9676 KB Output is correct
18 Correct 5 ms 9792 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 7 ms 11724 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91892 KB Output is correct
23 Correct 46 ms 48808 KB Output is correct
24 Correct 41 ms 48820 KB Output is correct
25 Correct 34 ms 28260 KB Output is correct
26 Correct 63 ms 28248 KB Output is correct
27 Correct 301 ms 91908 KB Output is correct
28 Correct 20 ms 28260 KB Output is correct
29 Correct 32 ms 28264 KB Output is correct
30 Correct 23 ms 28264 KB Output is correct
31 Correct 28 ms 28240 KB Output is correct
32 Correct 11 ms 11708 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28232 KB Output is correct
35 Correct 19 ms 28236 KB Output is correct
36 Correct 12 ms 10060 KB Output is correct
37 Correct 11 ms 10060 KB Output is correct
38 Correct 10 ms 10140 KB Output is correct
39 Correct 9 ms 10060 KB Output is correct
40 Correct 8 ms 10124 KB Output is correct
41 Correct 6 ms 10144 KB Output is correct
42 Correct 10 ms 10060 KB Output is correct
43 Correct 8 ms 10040 KB Output is correct
44 Correct 8 ms 10060 KB Output is correct
45 Incorrect 9 ms 10096 KB Output isn't correct
46 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 6 ms 9724 KB Output is correct
3 Correct 5 ms 9684 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 9720 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 6 ms 9676 KB Output is correct
9 Correct 6 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 6 ms 9676 KB Output is correct
13 Correct 6 ms 9676 KB Output is correct
14 Correct 6 ms 9804 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 5 ms 9676 KB Output is correct
18 Correct 5 ms 9792 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 7 ms 11724 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91892 KB Output is correct
23 Correct 46 ms 48808 KB Output is correct
24 Correct 41 ms 48820 KB Output is correct
25 Correct 34 ms 28260 KB Output is correct
26 Correct 63 ms 28248 KB Output is correct
27 Correct 301 ms 91908 KB Output is correct
28 Correct 20 ms 28260 KB Output is correct
29 Correct 32 ms 28264 KB Output is correct
30 Correct 23 ms 28264 KB Output is correct
31 Correct 28 ms 28240 KB Output is correct
32 Correct 11 ms 11708 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28232 KB Output is correct
35 Correct 19 ms 28236 KB Output is correct
36 Correct 818 ms 108300 KB Output is correct
37 Correct 777 ms 108316 KB Output is correct
38 Correct 778 ms 108136 KB Output is correct
39 Correct 731 ms 108228 KB Output is correct
40 Correct 771 ms 108080 KB Output is correct
41 Correct 324 ms 108036 KB Output is correct
42 Correct 760 ms 108264 KB Output is correct
43 Correct 712 ms 108188 KB Output is correct
44 Correct 740 ms 108440 KB Output is correct
45 Correct 749 ms 108120 KB Output is correct
46 Correct 748 ms 108232 KB Output is correct
47 Correct 761 ms 107928 KB Output is correct
48 Correct 729 ms 108084 KB Output is correct
49 Correct 752 ms 108116 KB Output is correct
50 Correct 12 ms 10060 KB Output is correct
51 Correct 11 ms 10060 KB Output is correct
52 Correct 10 ms 10140 KB Output is correct
53 Correct 9 ms 10060 KB Output is correct
54 Correct 8 ms 10124 KB Output is correct
55 Correct 6 ms 10144 KB Output is correct
56 Correct 10 ms 10060 KB Output is correct
57 Correct 8 ms 10040 KB Output is correct
58 Correct 8 ms 10060 KB Output is correct
59 Incorrect 9 ms 10096 KB Output isn't correct
60 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 6 ms 9724 KB Output is correct
3 Correct 5 ms 9684 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 9720 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 6 ms 9676 KB Output is correct
9 Correct 6 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 6 ms 9676 KB Output is correct
13 Correct 6 ms 9676 KB Output is correct
14 Correct 6 ms 9804 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 5 ms 9676 KB Output is correct
18 Correct 5 ms 9792 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 7 ms 11724 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91892 KB Output is correct
23 Correct 46 ms 48808 KB Output is correct
24 Correct 41 ms 48820 KB Output is correct
25 Correct 34 ms 28260 KB Output is correct
26 Correct 63 ms 28248 KB Output is correct
27 Correct 301 ms 91908 KB Output is correct
28 Correct 20 ms 28260 KB Output is correct
29 Correct 32 ms 28264 KB Output is correct
30 Correct 23 ms 28264 KB Output is correct
31 Correct 28 ms 28240 KB Output is correct
32 Correct 11 ms 11708 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28232 KB Output is correct
35 Correct 19 ms 28236 KB Output is correct
36 Correct 818 ms 108300 KB Output is correct
37 Correct 777 ms 108316 KB Output is correct
38 Correct 778 ms 108136 KB Output is correct
39 Correct 731 ms 108228 KB Output is correct
40 Correct 771 ms 108080 KB Output is correct
41 Correct 324 ms 108036 KB Output is correct
42 Correct 760 ms 108264 KB Output is correct
43 Correct 712 ms 108188 KB Output is correct
44 Correct 740 ms 108440 KB Output is correct
45 Correct 749 ms 108120 KB Output is correct
46 Correct 748 ms 108232 KB Output is correct
47 Correct 761 ms 107928 KB Output is correct
48 Correct 729 ms 108084 KB Output is correct
49 Correct 752 ms 108116 KB Output is correct
50 Correct 12 ms 10060 KB Output is correct
51 Correct 11 ms 10060 KB Output is correct
52 Correct 10 ms 10140 KB Output is correct
53 Correct 9 ms 10060 KB Output is correct
54 Correct 8 ms 10124 KB Output is correct
55 Correct 6 ms 10144 KB Output is correct
56 Correct 10 ms 10060 KB Output is correct
57 Correct 8 ms 10040 KB Output is correct
58 Correct 8 ms 10060 KB Output is correct
59 Incorrect 9 ms 10096 KB Output isn't correct
60 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 6 ms 9724 KB Output is correct
3 Correct 5 ms 9684 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 9720 KB Output is correct
7 Correct 5 ms 9676 KB Output is correct
8 Correct 6 ms 9676 KB Output is correct
9 Correct 6 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 6 ms 9676 KB Output is correct
13 Correct 6 ms 9676 KB Output is correct
14 Correct 6 ms 9804 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct
16 Correct 5 ms 9676 KB Output is correct
17 Correct 5 ms 9676 KB Output is correct
18 Correct 5 ms 9792 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 7 ms 11724 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 179 ms 91892 KB Output is correct
23 Correct 46 ms 48808 KB Output is correct
24 Correct 41 ms 48820 KB Output is correct
25 Correct 34 ms 28260 KB Output is correct
26 Correct 63 ms 28248 KB Output is correct
27 Correct 301 ms 91908 KB Output is correct
28 Correct 20 ms 28260 KB Output is correct
29 Correct 32 ms 28264 KB Output is correct
30 Correct 23 ms 28264 KB Output is correct
31 Correct 28 ms 28240 KB Output is correct
32 Correct 11 ms 11708 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28232 KB Output is correct
35 Correct 19 ms 28236 KB Output is correct
36 Correct 818 ms 108300 KB Output is correct
37 Correct 777 ms 108316 KB Output is correct
38 Correct 778 ms 108136 KB Output is correct
39 Correct 731 ms 108228 KB Output is correct
40 Correct 771 ms 108080 KB Output is correct
41 Correct 324 ms 108036 KB Output is correct
42 Correct 760 ms 108264 KB Output is correct
43 Correct 712 ms 108188 KB Output is correct
44 Correct 740 ms 108440 KB Output is correct
45 Correct 749 ms 108120 KB Output is correct
46 Correct 748 ms 108232 KB Output is correct
47 Correct 761 ms 107928 KB Output is correct
48 Correct 729 ms 108084 KB Output is correct
49 Correct 752 ms 108116 KB Output is correct
50 Correct 12 ms 10060 KB Output is correct
51 Correct 11 ms 10060 KB Output is correct
52 Correct 10 ms 10140 KB Output is correct
53 Correct 9 ms 10060 KB Output is correct
54 Correct 8 ms 10124 KB Output is correct
55 Correct 6 ms 10144 KB Output is correct
56 Correct 10 ms 10060 KB Output is correct
57 Correct 8 ms 10040 KB Output is correct
58 Correct 8 ms 10060 KB Output is correct
59 Incorrect 9 ms 10096 KB Output isn't correct
60 Halted 0 ms 0 KB -