oj.uz

Submission #1088944

# Submission time Handle Problem Language Result Execution time Memory
1088944 2024-09-15T15:34:02 Z _callmelucian Capital City (JOI20_capital_city) C++14
11 / 100
 801 ms 524288 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pl;
typedef pair<int,int> pii;
typedef tuple<int,int,int> tt;

#define all(a) a.begin(), a.end()
#define filter(a) a.erase(unique(all(a)), a.end())

const int mn = 2e5 + 5;
const int LOG = 18;

int go[mn][LOG], num[mn], depth[mn], clr[mn], sz[mn], timeDfs, n, k;
vector<int> nodeList[mn], adj[mn];

namespace SCC {
    const int NODE = 4e6 + 6;
    int num[NODE], low[NODE], gr[NODE], ans[NODE], timeDfs, counter = 0;
    vector<int> graph[NODE], nodeList[NODE];
    bool del[NODE];
    stack<int> st;

    void dfs (int u, int p) {
        num[u] = low[u] = ++timeDfs;
        st.push(u);
        for (int v : graph[u]) {
            if (del[v]) continue;
            if (!num[v]) {
                dfs(v, u);
                low[u] = min(low[u], low[v]);
            }
            else low[u] = min(low[u], num[v]);
        }

        if (low[u] == num[u]) {
            int cur = 0, v = 0;
            counter++;
            do {
                v = st.top(); st.pop();
                del[v] = 1, cur += (v > LOG * n);
                gr[v] = counter, nodeList[counter].push_back(v);
            } while (v != u);
            ans[counter] = cur;
        }
    }

    int compress() {
        for (int i = 1; i <= LOG * n + k; i++)
            if (!num[i]) dfs(i, i);

        int res = INT_MAX;
        for (int i = 1; i <= counter; i++) {
            bool flag = 1;
            for (int u : nodeList[i]) {
                if (!u) flag = 0;
                for (int v : graph[u])
                    if (i != gr[v]) flag = 0;
            }
            if (flag) res = min(res, ans[i]);
        }
        return res;
    }
};

int node (int layer, int u) {
    return layer * n + u;
}

void addEdge (int a, int b) {
    SCC::graph[a].push_back(b);
}

void dfs (int u, int p, int d) {
    go[u][0] = p, depth[u] = d, num[u] = ++timeDfs, sz[u] = 1;
    if (p) addEdge(node(0, u), node(LOG, clr[p]));
    else addEdge(node(0, u), 0);

    for (int i = 1; i < LOG; i++) {
        go[u][i] = go[go[u][i - 1]][i - 1];
        addEdge(node(i, u), node(i - 1, u));
        if (go[u][i - 1]) addEdge(node(i, u), node(i - 1, go[u][i - 1]));
    }

    for (int v : adj[u]) {
        if (v == p) continue;
        dfs(v, u, d + 1);
        sz[u] += sz[v];
    }
}

int goUp (int a, int k) {
    for (int i = 0; i < LOG; i++)
        if (k & (1 << i)) a = go[a][i];
    return a;
}

int lca (int a, int b) {
    if (depth[a] < depth[b]) swap(a, b);
    a = goUp(a, depth[a] - depth[b]);
    if (a == b) return a;
    for (int i = LOG - 1; i >= 0; i--)
        if (go[a][i] != go[b][i]) a = go[a][i], b = go[b][i];
    return go[a][0];
}

void connectPath (int source, int a, int p) {
    addEdge(source, node(LOG, clr[a]));
    for (int i = LOG - 1; i >= 0; i--) {
        if (depth[go[a][i]] < depth[p]) continue;
        addEdge(source, node(i, a));
        a = go[a][i];
    }
}

bool cmp (int a, int b) {
    return num[a] < num[b];
}

bool isParent (int p, int u) {
    return num[p] <= num[u] && num[u] < num[p] + sz[p];
}

int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);

    cin >> n >> k;
    for (int i = 1; i < n; i++) {
        int a, b; cin >> a >> b;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }
    for (int i = 1; i <= n; i++) {
        cin >> clr[i];
        nodeList[clr[i]].push_back(i);
    }
    dfs(1, 0, 1);

    for (int color = 1; color <= k; color++) {
        if (nodeList[color].empty()) continue;
        sort(all(nodeList[color]), cmp);
        int curSz = nodeList[color].size();
        for (int i = 1; i < curSz; i++)
            nodeList[color].push_back(lca(nodeList[color][i - 1], nodeList[color][i]));
        sort(all(nodeList[color]), cmp);
        filter(nodeList[color]);

        stack<int> st({nodeList[color][0]});
        for (int i = 1; i < nodeList[color].size(); i++) {
            while (st.size() && !isParent(st.top(), nodeList[color][i])) st.pop();
            if (st.size())
                connectPath(node(LOG, color), nodeList[color][i], st.top());
            st.push(nodeList[color][i]);
        }
    }

    cout << SCC::compress() - 1;

    return 0;
}

Compilation message

capital_city.cpp: In function 'int main()':
capital_city.cpp:153:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  153 |         for (int i = 1; i < nodeList[color].size(); i++) {
      |                         ~~^~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 197712 KB Output is correct
2 Correct 85 ms 197712 KB Output is correct
3 Correct 89 ms 197716 KB Output is correct
4 Correct 90 ms 197724 KB Output is correct
5 Correct 90 ms 197712 KB Output is correct
6 Correct 85 ms 197700 KB Output is correct
7 Correct 89 ms 197648 KB Output is correct
8 Correct 90 ms 197712 KB Output is correct
9 Correct 91 ms 197732 KB Output is correct
10 Correct 93 ms 197712 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 197712 KB Output is correct
2 Correct 85 ms 197712 KB Output is correct
3 Correct 89 ms 197716 KB Output is correct
4 Correct 90 ms 197724 KB Output is correct
5 Correct 90 ms 197712 KB Output is correct
6 Correct 85 ms 197700 KB Output is correct
7 Correct 89 ms 197648 KB Output is correct
8 Correct 90 ms 197712 KB Output is correct
9 Correct 91 ms 197732 KB Output is correct
10 Correct 93 ms 197712 KB Output is correct
11 Correct 96 ms 200808 KB Output is correct
12 Correct 93 ms 200788 KB Output is correct
13 Correct 100 ms 200784 KB Output is correct
14 Correct 95 ms 200784 KB Output is correct
15 Correct 99 ms 200936 KB Output is correct
16 Correct 96 ms 200788 KB Output is correct
17 Correct 102 ms 201044 KB Output is correct
18 Correct 93 ms 201044 KB Output is correct
19 Correct 96 ms 201044 KB Output is correct
20 Correct 92 ms 201044 KB Output is correct
21 Correct 89 ms 200896 KB Output is correct
22 Correct 91 ms 201808 KB Output is correct
23 Correct 95 ms 201292 KB Output is correct
24 Correct 91 ms 200832 KB Output is correct
25 Correct 98 ms 200804 KB Output is correct
26 Correct 88 ms 201004 KB Output is correct
27 Correct 92 ms 200728 KB Output is correct
28 Correct 97 ms 200784 KB Output is correct
29 Correct 96 ms 200788 KB Output is correct
30 Correct 96 ms 200784 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Runtime error 801 ms 524288 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 197712 KB Output is correct
2 Correct 85 ms 197712 KB Output is correct
3 Correct 89 ms 197716 KB Output is correct
4 Correct 90 ms 197724 KB Output is correct
5 Correct 90 ms 197712 KB Output is correct
6 Correct 85 ms 197700 KB Output is correct
7 Correct 89 ms 197648 KB Output is correct
8 Correct 90 ms 197712 KB Output is correct
9 Correct 91 ms 197732 KB Output is correct
10 Correct 93 ms 197712 KB Output is correct
11 Correct 96 ms 200808 KB Output is correct
12 Correct 93 ms 200788 KB Output is correct
13 Correct 100 ms 200784 KB Output is correct
14 Correct 95 ms 200784 KB Output is correct
15 Correct 99 ms 200936 KB Output is correct
16 Correct 96 ms 200788 KB Output is correct
17 Correct 102 ms 201044 KB Output is correct
18 Correct 93 ms 201044 KB Output is correct
19 Correct 96 ms 201044 KB Output is correct
20 Correct 92 ms 201044 KB Output is correct
21 Correct 89 ms 200896 KB Output is correct
22 Correct 91 ms 201808 KB Output is correct
23 Correct 95 ms 201292 KB Output is correct
24 Correct 91 ms 200832 KB Output is correct
25 Correct 98 ms 200804 KB Output is correct
26 Correct 88 ms 201004 KB Output is correct
27 Correct 92 ms 200728 KB Output is correct
28 Correct 97 ms 200784 KB Output is correct
29 Correct 96 ms 200788 KB Output is correct
30 Correct 96 ms 200784 KB Output is correct
31 Runtime error 801 ms 524288 KB Execution killed with signal 9
32 Halted 0 ms 0 KB -