oj.uz

Submission #948337

# Submission time Handle Problem Language Result Execution time Memory
948337 2024-03-18T04:22:06 Z steveonalex Cat in a tree (BOI17_catinatree) C++14
100 / 100
 234 ms 53700 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ll mask){return __builtin_ctzll(mask);}
int logOf(ll mask){return __lg(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T& container, char separator = ' ', char finish = '\n'){
        for(auto item: container) cout << item << separator;
        cout << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }
 
const int N = 2e5 + 69;
int n, d;
vector<pair<int, int>> graph[N];
int h[N];
 
void dfs(int u, int p){
    for(auto v: graph[u]) if (v.first != p){
        h[v.first] = h[u] + 1;
        dfs(v.first, u);
    }
}
 
namespace CD{
    bitset<N> banned;
    const int LOG_N = 18;
    int sz[N], mi[N];
    int h[N][LOG_N], centroid[N][LOG_N];
 
    void init(){
        for(int i = 1; i<=n; ++i) mi[i] = -1;
    }
 
    void find_sz(int u, int p){
        sz[u] = 1;
        for(auto v: graph[u]) if (!banned[v.second] && v.first != p){
            find_sz(v.first, u);
            sz[u] += sz[v.first];
        }
    }
 
    int find_centroid(int u){
        for(auto v: graph[u]) if (!banned[v.second] && sz[v.first] * 2 > sz[u]){
            sz[u] -= sz[v.first];
            sz[v.first] += sz[u];
            return find_centroid(v.first);
        }
        return u;
    }
 
    void find_height(int u, int p, int layer){
        for(auto v: graph[u]) if (!banned[v.second] && v.first != p){
            h[v.first][layer] = h[u][layer] + 1;
            centroid[v.first][layer] = centroid[u][layer];
            find_height(v.first, u, layer);
        }
    }
 
    void build_tree(int u, int layer){
        find_sz(u, u);
        u = find_centroid(u);
 
        centroid[u][layer] = u;
        find_height(u, u, layer);
        for(auto v: graph[u]) if (!banned[v.second]){
            banned[v.second] = true;
            build_tree(v.first, layer + 1);
        }
    }
 
    bool legit(int u){
        for(int j = 0; j < LOG_N; ++j) if (centroid[u][j]){
            int v = centroid[u][j];
            if (h[u][j] <= mi[v]) return false; 
        }
        return true;
    }
 
    void add(int u){
        for(int j = 0; j < LOG_N; ++j) if (centroid[u][j]){
            int v=  centroid[u][j];
            maximize(mi[v], d - h[u][j]);
        }
    }
}
 
int main(void){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
    cin >> n >> d;
    for(int i = 2; i<=n; ++i){
        int p; cin >> p; p++;
        graph[i].push_back({p, i-1});
        graph[p].push_back({i, i-1});
    }
 
    d--;
 
    dfs(1, 1);
 
    vector<pair<int, int>> ligma;
    for(int i = 1; i<=n; ++i) ligma.push_back({h[i], i});
 
    sort(ALL(ligma), greater<pair<int, int>>());
 
    vector<int> ans;
    CD::init();
    CD::build_tree(1, 0);
    for(auto item: ligma) {
        if (CD::legit(item.second)) {
            CD::add(item.second);
            ans.push_back(item.second);
        }
    }
 
    cout << ans.size() << "\n";
    // printArr(ans);
 
    return 0;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8872 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 2 ms 8876 KB Output is correct
6 Correct 2 ms 8792 KB Output is correct
7 Correct 3 ms 8796 KB Output is correct
8 Correct 2 ms 8792 KB Output is correct
9 Correct 2 ms 8792 KB Output is correct
10 Correct 2 ms 8796 KB Output is correct
11 Correct 2 ms 9052 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 2 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 2 ms 8872 KB Output is correct
17 Correct 2 ms 8796 KB Output is correct
18 Correct 2 ms 8796 KB Output is correct
19 Correct 2 ms 8796 KB Output is correct
20 Correct 1 ms 8796 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8872 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 2 ms 8876 KB Output is correct
6 Correct 2 ms 8792 KB Output is correct
7 Correct 3 ms 8796 KB Output is correct
8 Correct 2 ms 8792 KB Output is correct
9 Correct 2 ms 8792 KB Output is correct
10 Correct 2 ms 8796 KB Output is correct
11 Correct 2 ms 9052 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 2 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 2 ms 8872 KB Output is correct
17 Correct 2 ms 8796 KB Output is correct
18 Correct 2 ms 8796 KB Output is correct
19 Correct 2 ms 8796 KB Output is correct
20 Correct 1 ms 8796 KB Output is correct
21 Correct 2 ms 9048 KB Output is correct
22 Correct 2 ms 8796 KB Output is correct
23 Correct 2 ms 8796 KB Output is correct
24 Correct 2 ms 8796 KB Output is correct
25 Correct 3 ms 9052 KB Output is correct
26 Correct 3 ms 9116 KB Output is correct
27 Correct 2 ms 9052 KB Output is correct
28 Correct 2 ms 9148 KB Output is correct
29 Correct 3 ms 9052 KB Output is correct
30 Correct 2 ms 9052 KB Output is correct
31 Correct 3 ms 9052 KB Output is correct
32 Correct 2 ms 9052 KB Output is correct
33 Correct 2 ms 9052 KB Output is correct
34 Correct 2 ms 9144 KB Output is correct
35 Correct 2 ms 9052 KB Output is correct
36 Correct 2 ms 9052 KB Output is correct
37 Correct 2 ms 9052 KB Output is correct
38 Correct 2 ms 9052 KB Output is correct
39 Correct 3 ms 9052 KB Output is correct
40 Correct 2 ms 9052 KB Output is correct

Subtask #3
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8872 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 2 ms 8876 KB Output is correct
6 Correct 2 ms 8792 KB Output is correct
7 Correct 3 ms 8796 KB Output is correct
8 Correct 2 ms 8792 KB Output is correct
9 Correct 2 ms 8792 KB Output is correct
10 Correct 2 ms 8796 KB Output is correct
11 Correct 2 ms 9052 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 2 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 2 ms 8872 KB Output is correct
17 Correct 2 ms 8796 KB Output is correct
18 Correct 2 ms 8796 KB Output is correct
19 Correct 2 ms 8796 KB Output is correct
20 Correct 1 ms 8796 KB Output is correct
21 Correct 2 ms 9048 KB Output is correct
22 Correct 2 ms 8796 KB Output is correct
23 Correct 2 ms 8796 KB Output is correct
24 Correct 2 ms 8796 KB Output is correct
25 Correct 3 ms 9052 KB Output is correct
26 Correct 3 ms 9116 KB Output is correct
27 Correct 2 ms 9052 KB Output is correct
28 Correct 2 ms 9148 KB Output is correct
29 Correct 3 ms 9052 KB Output is correct
30 Correct 2 ms 9052 KB Output is correct
31 Correct 3 ms 9052 KB Output is correct
32 Correct 2 ms 9052 KB Output is correct
33 Correct 2 ms 9052 KB Output is correct
34 Correct 2 ms 9144 KB Output is correct
35 Correct 2 ms 9052 KB Output is correct
36 Correct 2 ms 9052 KB Output is correct
37 Correct 2 ms 9052 KB Output is correct
38 Correct 2 ms 9052 KB Output is correct
39 Correct 3 ms 9052 KB Output is correct
40 Correct 2 ms 9052 KB Output is correct
41 Correct 87 ms 44524 KB Output is correct
42 Correct 81 ms 31684 KB Output is correct
43 Correct 86 ms 30916 KB Output is correct
44 Correct 74 ms 30928 KB Output is correct
45 Correct 74 ms 30920 KB Output is correct
46 Correct 222 ms 47084 KB Output is correct
47 Correct 206 ms 45828 KB Output is correct
48 Correct 221 ms 46036 KB Output is correct
49 Correct 207 ms 45832 KB Output is correct
50 Correct 59 ms 31176 KB Output is correct
51 Correct 58 ms 31264 KB Output is correct
52 Correct 69 ms 31172 KB Output is correct
53 Correct 157 ms 46292 KB Output is correct
54 Correct 141 ms 46280 KB Output is correct
55 Correct 152 ms 46276 KB Output is correct
56 Correct 3 ms 9304 KB Output is correct
57 Correct 13 ms 16864 KB Output is correct
58 Correct 70 ms 39212 KB Output is correct
59 Correct 234 ms 53700 KB Output is correct
60 Correct 88 ms 44964 KB Output is correct
61 Correct 118 ms 44476 KB Output is correct