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Submission #525571

# Submission time Handle Problem Language Result Execution time Memory
525571 2022-02-12T01:31:12 Z mjhmjh1104 Mountains and Valleys (CCO20_day1problem3) C++17
3 / 25
 1680 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], depth[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) {
        depth[i] = depth[x] + 1;
        sz[x] += dfs(i, x);
    }
    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 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_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 (depth[x]) {
            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 = *max_element(v.begin(), v.end());
        for (int i = 1; i < (int)v.size(); i++) y = max(y, v[i - 1] + v[i]);
        curr -= y;
        one = min(one, curr);
    }
    /*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:90:66: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   90 |         for (int i = 0; i < n; i++) res = min(res, f(i, (1 << n) - 1 ^ 1 << i));
      |                                                         ~~~~~~~~~^~~
Main.cpp:75:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   75 |     scanf("%d%d", &n, &m);
      |     ~~~~~^~~~~~~~~~~~~~~~
Main.cpp:78:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   78 |         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 9676 KB Output is correct
5 Correct 5 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 6 ms 9676 KB Output is correct
13 Correct 5 ms 9676 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 7 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 9676 KB Output is correct
5 Correct 5 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 6 ms 9676 KB Output is correct
13 Correct 5 ms 9676 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 7 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 6 ms 11640 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 170 ms 91796 KB Output is correct
23 Correct 46 ms 48812 KB Output is correct
24 Correct 39 ms 48740 KB Output is correct
25 Correct 43 ms 28360 KB Output is correct
26 Correct 56 ms 28236 KB Output is correct
27 Correct 273 ms 91908 KB Output is correct
28 Correct 21 ms 28264 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 21 ms 28268 KB Output is correct
31 Correct 27 ms 28232 KB Output is correct
32 Correct 14 ms 11724 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 14 ms 28208 KB Output is correct

Subtask #3
0.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1620 ms 108484 KB Output is correct
2 Correct 1680 ms 108460 KB Output is correct
3 Correct 1561 ms 108340 KB Output is correct
4 Correct 1444 ms 108264 KB Output is correct
5 Incorrect 1427 ms 108276 KB Output isn't correct
6 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 9676 KB Output is correct
5 Correct 5 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 6 ms 9676 KB Output is correct
13 Correct 5 ms 9676 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 7 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 6 ms 11640 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 170 ms 91796 KB Output is correct
23 Correct 46 ms 48812 KB Output is correct
24 Correct 39 ms 48740 KB Output is correct
25 Correct 43 ms 28360 KB Output is correct
26 Correct 56 ms 28236 KB Output is correct
27 Correct 273 ms 91908 KB Output is correct
28 Correct 21 ms 28264 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 21 ms 28268 KB Output is correct
31 Correct 27 ms 28232 KB Output is correct
32 Correct 14 ms 11724 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 14 ms 28208 KB Output is correct
36 Correct 5 ms 10060 KB Output is correct
37 Correct 5 ms 10060 KB Output is correct
38 Correct 6 ms 10060 KB Output is correct
39 Incorrect 5 ms 10060 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 9676 KB Output is correct
5 Correct 5 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 6 ms 9676 KB Output is correct
13 Correct 5 ms 9676 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 7 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 6 ms 11640 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 170 ms 91796 KB Output is correct
23 Correct 46 ms 48812 KB Output is correct
24 Correct 39 ms 48740 KB Output is correct
25 Correct 43 ms 28360 KB Output is correct
26 Correct 56 ms 28236 KB Output is correct
27 Correct 273 ms 91908 KB Output is correct
28 Correct 21 ms 28264 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 21 ms 28268 KB Output is correct
31 Correct 27 ms 28232 KB Output is correct
32 Correct 14 ms 11724 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 14 ms 28208 KB Output is correct
36 Correct 5 ms 10060 KB Output is correct
37 Correct 5 ms 10060 KB Output is correct
38 Correct 6 ms 10060 KB Output is correct
39 Incorrect 5 ms 10060 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 9676 KB Output is correct
5 Correct 5 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 6 ms 9676 KB Output is correct
13 Correct 5 ms 9676 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 7 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 6 ms 11640 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 170 ms 91796 KB Output is correct
23 Correct 46 ms 48812 KB Output is correct
24 Correct 39 ms 48740 KB Output is correct
25 Correct 43 ms 28360 KB Output is correct
26 Correct 56 ms 28236 KB Output is correct
27 Correct 273 ms 91908 KB Output is correct
28 Correct 21 ms 28264 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 21 ms 28268 KB Output is correct
31 Correct 27 ms 28232 KB Output is correct
32 Correct 14 ms 11724 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 14 ms 28208 KB Output is correct
36 Correct 1620 ms 108484 KB Output is correct
37 Correct 1680 ms 108460 KB Output is correct
38 Correct 1561 ms 108340 KB Output is correct
39 Correct 1444 ms 108264 KB Output is correct
40 Incorrect 1427 ms 108276 KB Output isn't correct
41 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 9676 KB Output is correct
5 Correct 5 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 6 ms 9676 KB Output is correct
13 Correct 5 ms 9676 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 7 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 6 ms 11640 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 170 ms 91796 KB Output is correct
23 Correct 46 ms 48812 KB Output is correct
24 Correct 39 ms 48740 KB Output is correct
25 Correct 43 ms 28360 KB Output is correct
26 Correct 56 ms 28236 KB Output is correct
27 Correct 273 ms 91908 KB Output is correct
28 Correct 21 ms 28264 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 21 ms 28268 KB Output is correct
31 Correct 27 ms 28232 KB Output is correct
32 Correct 14 ms 11724 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 14 ms 28208 KB Output is correct
36 Correct 1620 ms 108484 KB Output is correct
37 Correct 1680 ms 108460 KB Output is correct
38 Correct 1561 ms 108340 KB Output is correct
39 Correct 1444 ms 108264 KB Output is correct
40 Incorrect 1427 ms 108276 KB Output isn't correct
41 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 9676 KB Output is correct
5 Correct 5 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 6 ms 9676 KB Output is correct
13 Correct 5 ms 9676 KB Output is correct
14 Correct 5 ms 9676 KB Output is correct
15 Correct 7 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 6 ms 11640 KB Output is correct
21 Correct 6 ms 11724 KB Output is correct
22 Correct 170 ms 91796 KB Output is correct
23 Correct 46 ms 48812 KB Output is correct
24 Correct 39 ms 48740 KB Output is correct
25 Correct 43 ms 28360 KB Output is correct
26 Correct 56 ms 28236 KB Output is correct
27 Correct 273 ms 91908 KB Output is correct
28 Correct 21 ms 28264 KB Output is correct
29 Correct 31 ms 28236 KB Output is correct
30 Correct 21 ms 28268 KB Output is correct
31 Correct 27 ms 28232 KB Output is correct
32 Correct 14 ms 11724 KB Output is correct
33 Correct 5 ms 9676 KB Output is correct
34 Correct 14 ms 28260 KB Output is correct
35 Correct 14 ms 28208 KB Output is correct
36 Correct 1620 ms 108484 KB Output is correct
37 Correct 1680 ms 108460 KB Output is correct
38 Correct 1561 ms 108340 KB Output is correct
39 Correct 1444 ms 108264 KB Output is correct
40 Incorrect 1427 ms 108276 KB Output isn't correct
41 Halted 0 ms 0 KB -