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Submission #678982

# Submission time Handle Problem Language Result Execution time Memory
678982 2023-01-07T06:36:14 Z Makarooni Cat in a tree (BOI17_catinatree) C++17
11 / 100
 1000 ms 27596 KB 
#include <bits/stdc++.h>
using namespace std;

#define mr make_pair
#define endl '\n'
#define F first
#define S second
#define pb push_back
#define all(v) v.begin(), v.end()
#define sz(x) (int) x.size()
//#define int long long

const int N = 2e5 + 10;
const int K = 499;

int dp[N][500], D, ps[N][500];
vector<int> g[N];
map<int, int> mp[N];
set<int> b[N];

void dfs(int v, int p){
    for(int u : g[v]){
        if(u == p)
            continue;
        dfs(u, v);
    }
    for(int d = D; d > 0; d--){
        vector<int> pr, su, V;
        pr.pb(0);
        su.pb(0);
        int x = D - d - 1;
        if(x < 0)
			continue;
		x = max(x, d - 1);
        for(int u : g[v]){
            if(u == p)
                continue;
            pr.pb(ps[u][x] + pr.back());
            V.pb(u);
        }
        reverse(all(g[v]));
        for(int u : g[v]){
            if(u == p)
                continue;
            su.pb(ps[u][x] + su.back());
        }
        reverse(all(su));
        for(int i = 0; i < sz(pr) - 1; i++){
            dp[v][d] = max(dp[v][d], pr[i] + su[i + 1] + dp[V[i]][d - 1]);
        }
    }
    dp[v][0]++;
    for(int u : g[v]){
        if(u == p)
            continue;
        dp[v][0] += ps[u][D - 1];
    }
    for(int i = D; i >= 0; i--)
    	ps[v][i] = max(ps[v][i + 1], dp[v][i]);
}

void dfs2(int v, int par){
    for(int u : g[v]){
        if(u == par)
            continue;
        dfs2(u, v);
    }
    for(int p = 499; p >= 1; p--){
    	//cout << p << endl;
    	int l = 0, r = 200001;
    	while(r - l > 1){
    		//cout << l << " " << r << endl;
		int d = (l + r) / 2;
        vector<int> pr, su, V;
        pr.pb(0);
        su.pb(0);
        int x = D - d - 1;
        if(x < 0){
        	r = d;
			continue;
		}
		x = max(x, d - 1);
        for(int u : g[v]){
            if(u == par)
                continue;
            auto it = b[u].lower_bound(x);
        	if(it == b[u].end())
        		pr.pb(pr.back());
            pr.pb(mp[u][*it] + pr.back());
            V.pb(u);
        }
        reverse(all(g[v]));
        for(int u : g[v]){
            if(u == par)
                continue;
            auto it = b[u].lower_bound(x);
        	if(it == b[u].end())
        		su.pb(su.back());
            su.pb(mp[u][*it] + su.back());
        }
        reverse(all(su));
        int ssb = 0;
        for(int i = 0; i < sz(pr) - 1; i++){
        	auto it = b[V[i]].lower_bound(d - 1);
        	if(it == b[V[i]].end())
        		continue;
			//cout << "hoora " << V[i] << " " << pr[i] << " " << su[i + 1] << " " << mp[V[i]][*it] << endl;
            ssb = max(ssb, pr[i] + su[i + 1] + mp[V[i]][*it]);
        }
        if(ssb >= p){
        	dp[v][p] = max(dp[v][p], d);
        	l = d;
		}
		else
			r = d;
		}
    }
    int ssb = 0;
    ssb++;
    for(int u : g[v]){
        if(u == par)
            continue;
        ssb += mp[u][D - 1];
    }
    dp[v][ssb] = max(dp[v][ssb], 0);
    for(int i = 499; i >= 0; i--){
    	mp[v][dp[v][i]] = max(mp[v][dp[v][i]], i);
    	b[v].insert(dp[v][i]);
    }
}

int32_t main(){
    //ios_base:: sync_with_stdio(0), cin.tie(0), cout.tie(0);
    int n;
    cin >> n >> D;
    if(D > n){
    	cout << 1;
    	return 0;
	}
	if(D == 1){
		cout << n;
		return 0;
	}
    int p;
    for(int i = 1; i < n; i++){
        cin >> p;
        g[i].pb(p);
        g[p].pb(i);
    }
    if(D < 500){
    	dfs(0, -1);
    	cout << ps[0][0];
    }
    else{
		for(int i = 0; i < n; i++){
    		for(int j = 0; j <= K; j++)
    			dp[i][j] = -1000000000;
		}
    	dfs2(0, -1);
		//cout << "# " << dp[1][1] << endl;
		int ans = 1;
		for(int i = 1; i <= K; i++){
			if(dp[0][i] >= 0)
				ans = max(ans, i);
		}
		cout << ans;
	}
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23828 KB Output is correct
2 Correct 12 ms 23748 KB Output is correct
3 Correct 11 ms 23764 KB Output is correct
4 Correct 13 ms 23812 KB Output is correct
5 Correct 12 ms 23808 KB Output is correct
6 Correct 11 ms 23764 KB Output is correct
7 Correct 11 ms 23764 KB Output is correct
8 Correct 11 ms 23764 KB Output is correct
9 Correct 13 ms 23732 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23804 KB Output is correct
12 Correct 12 ms 23812 KB Output is correct
13 Correct 11 ms 23764 KB Output is correct
14 Correct 15 ms 23804 KB Output is correct
15 Correct 12 ms 23764 KB Output is correct
16 Correct 12 ms 23764 KB Output is correct
17 Correct 12 ms 23848 KB Output is correct
18 Correct 12 ms 23764 KB Output is correct
19 Correct 11 ms 23764 KB Output is correct
20 Correct 11 ms 23748 KB Output is correct

Subtask #2
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23828 KB Output is correct
2 Correct 12 ms 23748 KB Output is correct
3 Correct 11 ms 23764 KB Output is correct
4 Correct 13 ms 23812 KB Output is correct
5 Correct 12 ms 23808 KB Output is correct
6 Correct 11 ms 23764 KB Output is correct
7 Correct 11 ms 23764 KB Output is correct
8 Correct 11 ms 23764 KB Output is correct
9 Correct 13 ms 23732 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23804 KB Output is correct
12 Correct 12 ms 23812 KB Output is correct
13 Correct 11 ms 23764 KB Output is correct
14 Correct 15 ms 23804 KB Output is correct
15 Correct 12 ms 23764 KB Output is correct
16 Correct 12 ms 23764 KB Output is correct
17 Correct 12 ms 23848 KB Output is correct
18 Correct 12 ms 23764 KB Output is correct
19 Correct 11 ms 23764 KB Output is correct
20 Correct 11 ms 23748 KB Output is correct
21 Execution timed out 1080 ms 27596 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #3
0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23828 KB Output is correct
2 Correct 12 ms 23748 KB Output is correct
3 Correct 11 ms 23764 KB Output is correct
4 Correct 13 ms 23812 KB Output is correct
5 Correct 12 ms 23808 KB Output is correct
6 Correct 11 ms 23764 KB Output is correct
7 Correct 11 ms 23764 KB Output is correct
8 Correct 11 ms 23764 KB Output is correct
9 Correct 13 ms 23732 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23804 KB Output is correct
12 Correct 12 ms 23812 KB Output is correct
13 Correct 11 ms 23764 KB Output is correct
14 Correct 15 ms 23804 KB Output is correct
15 Correct 12 ms 23764 KB Output is correct
16 Correct 12 ms 23764 KB Output is correct
17 Correct 12 ms 23848 KB Output is correct
18 Correct 12 ms 23764 KB Output is correct
19 Correct 11 ms 23764 KB Output is correct
20 Correct 11 ms 23748 KB Output is correct
21 Execution timed out 1080 ms 27596 KB Time limit exceeded
22 Halted 0 ms 0 KB -