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Submission #525574

# Submission time Handle Problem Language Result Execution time Memory
525574 2022-02-12T01:39:42 Z mjhmjh1104 Mountains and Valleys (CCO20_day1problem3) C++17
3 / 25
 1746 ms 108528 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] = 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 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 (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 = *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: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 9684 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9640 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 9624 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 5 ms 9676 KB Output is correct
15 Correct 5 ms 9676 KB Output is correct

Subtask #2
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 9684 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9640 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 9624 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 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 5 ms 9676 KB Output is correct
18 Incorrect 5 ms 9676 KB Output isn't correct
19 Halted 0 ms 0 KB -

Subtask #3
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1632 ms 108528 KB Output is correct
2 Correct 1746 ms 108492 KB Output is correct
3 Correct 1556 ms 108396 KB Output is correct
4 Correct 1444 ms 108284 KB Output is correct
5 Correct 1450 ms 108268 KB Output is correct
6 Correct 540 ms 108084 KB Output is correct
7 Correct 1611 ms 108492 KB Output is correct
8 Correct 1611 ms 108140 KB Output is correct
9 Correct 1590 ms 108420 KB Output is correct
10 Correct 1466 ms 108204 KB Output is correct
11 Correct 1468 ms 108228 KB Output is correct
12 Correct 1449 ms 108032 KB Output is correct
13 Correct 1543 ms 108292 KB Output is correct
14 Correct 1473 ms 108216 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 5 ms 9676 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9640 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 9624 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 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 5 ms 9676 KB Output is correct
18 Incorrect 5 ms 9676 KB Output isn't correct
19 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 9684 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9640 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 9624 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 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 5 ms 9676 KB Output is correct
18 Incorrect 5 ms 9676 KB Output isn't correct
19 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 9684 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9640 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 9624 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 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 5 ms 9676 KB Output is correct
18 Incorrect 5 ms 9676 KB Output isn't correct
19 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 9684 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9640 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 9624 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 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 5 ms 9676 KB Output is correct
18 Incorrect 5 ms 9676 KB Output isn't correct
19 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 9684 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 5 ms 9676 KB Output is correct
6 Correct 5 ms 9640 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 9624 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 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 5 ms 9676 KB Output is correct
18 Incorrect 5 ms 9676 KB Output isn't correct
19 Halted 0 ms 0 KB -