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Submission #525569

# Submission time Handle Problem Language Result Execution time Memory
525569 2022-02-12T01:15:28 Z mjhmjh1104 Mountains and Valleys (CCO20_day1problem3) C++17
5 / 25
 890 ms 108416 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]) {
        if (!cl[x]) ret++, cl[x] = true;
        x = par[x];
    }
    while (x != y) {
        if (!cl[x]) ret++, cl[x] = true;
        if (!cl[y]) ret++, cl[y] = true;
        x = par[x], y = par[y];
    }
    while (depth[z] > depth[w]) {
        if (!cl[z]) ret++, cl[z] = true;
        z = par[z];
    }
    while (z != w) {
        if (!cl[z]) ret++, cl[z] = true;
        if (!cl[w]) ret++, cl[w] = true;
        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 + l.second + 2 * (n - 1) - intersect(i, l.first, k, j.first));
        two = min(two, j.second + l.second + 2 * (n - 1) - intersect(i, k, l.first, j.first));
    }
    printf("%d", min({ zero, one, two }));
}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:84:66: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   84 |         for (int i = 0; i < n; i++) res = min(res, f(i, (1 << n) - 1 ^ 1 << i));
      |                                                         ~~~~~~~~~^~~
Main.cpp:69:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   69 |     scanf("%d%d", &n, &m);
      |     ~~~~~^~~~~~~~~~~~~~~~
Main.cpp:72:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   72 |         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 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 7 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 9628 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 9676 KB Output is correct
14 Correct 6 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 6 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 7 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 9628 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 9676 KB Output is correct
14 Correct 6 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 5 ms 9676 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 8 ms 11724 KB Output is correct
21 Correct 9 ms 11724 KB Output is correct
22 Correct 189 ms 91796 KB Output is correct
23 Correct 49 ms 48800 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28244 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 305 ms 91916 KB Output is correct
28 Correct 26 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 23 ms 28236 KB Output is correct
31 Correct 28 ms 28264 KB Output is correct
32 Correct 11 ms 11720 KB Output is correct
33 Correct 5 ms 9796 KB Output is correct
34 Correct 16 ms 28268 KB Output is correct
35 Correct 14 ms 28236 KB Output is correct

Subtask #3
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 842 ms 108416 KB Output is correct
2 Correct 819 ms 108288 KB Output is correct
3 Correct 855 ms 108204 KB Output is correct
4 Correct 753 ms 108060 KB Output is correct
5 Correct 761 ms 108020 KB Output is correct
6 Correct 289 ms 108012 KB Output is correct
7 Correct 890 ms 108324 KB Output is correct
8 Correct 758 ms 108128 KB Output is correct
9 Correct 767 ms 108284 KB Output is correct
10 Correct 781 ms 108096 KB Output is correct
11 Correct 825 ms 108168 KB Output is correct
12 Correct 706 ms 108040 KB Output is correct
13 Correct 749 ms 108080 KB Output is correct
14 Correct 779 ms 108280 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 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 7 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 9628 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 9676 KB Output is correct
14 Correct 6 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 5 ms 9676 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 8 ms 11724 KB Output is correct
21 Correct 9 ms 11724 KB Output is correct
22 Correct 189 ms 91796 KB Output is correct
23 Correct 49 ms 48800 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28244 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 305 ms 91916 KB Output is correct
28 Correct 26 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 23 ms 28236 KB Output is correct
31 Correct 28 ms 28264 KB Output is correct
32 Correct 11 ms 11720 KB Output is correct
33 Correct 5 ms 9796 KB Output is correct
34 Correct 16 ms 28268 KB Output is correct
35 Correct 14 ms 28236 KB Output is correct
36 Correct 10 ms 10060 KB Output is correct
37 Correct 11 ms 10120 KB Output is correct
38 Correct 9 ms 10060 KB Output is correct
39 Incorrect 9 ms 10132 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 6 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 7 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 9628 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 9676 KB Output is correct
14 Correct 6 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 5 ms 9676 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 8 ms 11724 KB Output is correct
21 Correct 9 ms 11724 KB Output is correct
22 Correct 189 ms 91796 KB Output is correct
23 Correct 49 ms 48800 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28244 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 305 ms 91916 KB Output is correct
28 Correct 26 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 23 ms 28236 KB Output is correct
31 Correct 28 ms 28264 KB Output is correct
32 Correct 11 ms 11720 KB Output is correct
33 Correct 5 ms 9796 KB Output is correct
34 Correct 16 ms 28268 KB Output is correct
35 Correct 14 ms 28236 KB Output is correct
36 Correct 10 ms 10060 KB Output is correct
37 Correct 11 ms 10120 KB Output is correct
38 Correct 9 ms 10060 KB Output is correct
39 Incorrect 9 ms 10132 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 6 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 7 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 9628 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 9676 KB Output is correct
14 Correct 6 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 5 ms 9676 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 8 ms 11724 KB Output is correct
21 Correct 9 ms 11724 KB Output is correct
22 Correct 189 ms 91796 KB Output is correct
23 Correct 49 ms 48800 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28244 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 305 ms 91916 KB Output is correct
28 Correct 26 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 23 ms 28236 KB Output is correct
31 Correct 28 ms 28264 KB Output is correct
32 Correct 11 ms 11720 KB Output is correct
33 Correct 5 ms 9796 KB Output is correct
34 Correct 16 ms 28268 KB Output is correct
35 Correct 14 ms 28236 KB Output is correct
36 Correct 842 ms 108416 KB Output is correct
37 Correct 819 ms 108288 KB Output is correct
38 Correct 855 ms 108204 KB Output is correct
39 Correct 753 ms 108060 KB Output is correct
40 Correct 761 ms 108020 KB Output is correct
41 Correct 289 ms 108012 KB Output is correct
42 Correct 890 ms 108324 KB Output is correct
43 Correct 758 ms 108128 KB Output is correct
44 Correct 767 ms 108284 KB Output is correct
45 Correct 781 ms 108096 KB Output is correct
46 Correct 825 ms 108168 KB Output is correct
47 Correct 706 ms 108040 KB Output is correct
48 Correct 749 ms 108080 KB Output is correct
49 Correct 779 ms 108280 KB Output is correct
50 Correct 10 ms 10060 KB Output is correct
51 Correct 11 ms 10120 KB Output is correct
52 Correct 9 ms 10060 KB Output is correct
53 Incorrect 9 ms 10132 KB Output isn't correct
54 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 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 7 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 9628 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 9676 KB Output is correct
14 Correct 6 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 5 ms 9676 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 8 ms 11724 KB Output is correct
21 Correct 9 ms 11724 KB Output is correct
22 Correct 189 ms 91796 KB Output is correct
23 Correct 49 ms 48800 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28244 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 305 ms 91916 KB Output is correct
28 Correct 26 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 23 ms 28236 KB Output is correct
31 Correct 28 ms 28264 KB Output is correct
32 Correct 11 ms 11720 KB Output is correct
33 Correct 5 ms 9796 KB Output is correct
34 Correct 16 ms 28268 KB Output is correct
35 Correct 14 ms 28236 KB Output is correct
36 Correct 842 ms 108416 KB Output is correct
37 Correct 819 ms 108288 KB Output is correct
38 Correct 855 ms 108204 KB Output is correct
39 Correct 753 ms 108060 KB Output is correct
40 Correct 761 ms 108020 KB Output is correct
41 Correct 289 ms 108012 KB Output is correct
42 Correct 890 ms 108324 KB Output is correct
43 Correct 758 ms 108128 KB Output is correct
44 Correct 767 ms 108284 KB Output is correct
45 Correct 781 ms 108096 KB Output is correct
46 Correct 825 ms 108168 KB Output is correct
47 Correct 706 ms 108040 KB Output is correct
48 Correct 749 ms 108080 KB Output is correct
49 Correct 779 ms 108280 KB Output is correct
50 Correct 10 ms 10060 KB Output is correct
51 Correct 11 ms 10120 KB Output is correct
52 Correct 9 ms 10060 KB Output is correct
53 Incorrect 9 ms 10132 KB Output isn't correct
54 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 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 5 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 7 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 9628 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 9676 KB Output is correct
14 Correct 6 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 5 ms 9676 KB Output is correct
18 Correct 5 ms 9676 KB Output is correct
19 Correct 5 ms 9932 KB Output is correct
20 Correct 8 ms 11724 KB Output is correct
21 Correct 9 ms 11724 KB Output is correct
22 Correct 189 ms 91796 KB Output is correct
23 Correct 49 ms 48800 KB Output is correct
24 Correct 41 ms 48716 KB Output is correct
25 Correct 33 ms 28244 KB Output is correct
26 Correct 57 ms 28244 KB Output is correct
27 Correct 305 ms 91916 KB Output is correct
28 Correct 26 ms 28236 KB Output is correct
29 Correct 31 ms 28148 KB Output is correct
30 Correct 23 ms 28236 KB Output is correct
31 Correct 28 ms 28264 KB Output is correct
32 Correct 11 ms 11720 KB Output is correct
33 Correct 5 ms 9796 KB Output is correct
34 Correct 16 ms 28268 KB Output is correct
35 Correct 14 ms 28236 KB Output is correct
36 Correct 842 ms 108416 KB Output is correct
37 Correct 819 ms 108288 KB Output is correct
38 Correct 855 ms 108204 KB Output is correct
39 Correct 753 ms 108060 KB Output is correct
40 Correct 761 ms 108020 KB Output is correct
41 Correct 289 ms 108012 KB Output is correct
42 Correct 890 ms 108324 KB Output is correct
43 Correct 758 ms 108128 KB Output is correct
44 Correct 767 ms 108284 KB Output is correct
45 Correct 781 ms 108096 KB Output is correct
46 Correct 825 ms 108168 KB Output is correct
47 Correct 706 ms 108040 KB Output is correct
48 Correct 749 ms 108080 KB Output is correct
49 Correct 779 ms 108280 KB Output is correct
50 Correct 10 ms 10060 KB Output is correct
51 Correct 11 ms 10120 KB Output is correct
52 Correct 9 ms 10060 KB Output is correct
53 Incorrect 9 ms 10132 KB Output isn't correct
54 Halted 0 ms 0 KB -