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Submission #1048323

# Submission time Handle Problem Language Result Execution time Memory
1048323 2024-08-08T06:46:05 Z KiaRez Cat Exercise (JOI23_ho_t4) C++17
54 / 100
 238 ms 125916 KB 
/*
    IN THE NAME OF GOD
*/
#include <bits/stdc++.h>

// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")

using namespace std;

typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
typedef long double ld;

#define F                                      first
#define S                                      second
#define Mp                                     make_pair
#define pb                                     push_back
#define pf                                     push_front
#define size(x)                                ((ll)x.size())
#define all(x)                                 (x).begin(),(x).end()
#define kill(x)		                           cout << x << '\n', exit(0);
#define fuck(x)                                cout << "(" << #x << " , " << x << ")" << endl
#define endl                                   '\n'

const int N = 6e5+23, lg = 18;
ll Mod = 1e9+7; //998244353;

inline ll MOD(ll a, ll mod=Mod) {a%=mod; (a<0)&&(a+=mod); return a;}
inline ll poww(ll a, ll b, ll mod=Mod) {
    ll ans = 1;
    a=MOD(a, mod);
    while (b) {
        if (b & 1) ans = MOD(ans*a, mod);
        b >>= 1;
        a = MOD(a*a, mod);
    }
    return ans;
}

int n, tim, rev[N], par[lg][N], p[N], q[N], tin[N], tout[N];
int h[N], lazy[2*N], mark[N];
pii seg[2*N];
vector<int> adj[N], tree[N];

int getPar(int v, int dist) {
    for(int i=0;i<lg;i++) if((dist>>i)%2==1) v=par[i][v];
    return v;
}

int LCA(int v, int u) {
    if(h[u] < h[v]) swap(v,u);
    u = getPar(u, h[u]-h[v]);
    if(v == u) return v;
    for(int i=lg-1; i>=0; i--) {
        if(par[i][v] != par[i][u]) {
            v=par[i][v], u=par[i][u];
        }
    }
    return par[0][v];
}

void init(int v, int p=0) {
    tin[v] = ++tim, h[v] = h[p] + 1, par[0][v] = p;
    rev[tim] = v;
    for(int i=1; i<lg; i++) par[i][v]=par[i-1][par[i-1][v]];
    for(auto u : adj[v]) {
        if(u == p) continue;
        init(u, v);
    }
    tout[v] = tim+1;
}

void build(int ind=1) {
    if(ind >= (1<<lg)) {
        seg[ind].S = p[rev[ind - (1<<lg) + 1]];
        return;
    }
    build(2*ind); build(2*ind+1);
    seg[ind] = max(seg[2*ind], seg[2*ind+1]);
}

void pushdown(int ind) {
    seg[ind].F += lazy[ind];
    (ind < (1<<lg)) && (lazy[2*ind] += lazy[ind]);
    (ind < (1<<lg)) && (lazy[2*ind+1] += lazy[ind]);
    lazy[ind] = 0;
}

void update(int l, int r, int x, int ind=1, int lc=1, int rc=(1<<lg)+1) {
    pushdown(ind);
    if(l >= rc || lc >= r) return;
    if(lc >= l && rc <= r) {
        lazy[ind] += x; pushdown(ind);
        return;
    }
    int mid = (lc+rc)/2;
    update(l, r, x, 2*ind, lc, mid);
    update(l, r, x, 2*ind+1, mid, rc);
    seg[ind] = max(seg[2*ind], seg[2*ind+1]);
}

pii query(int l, int r, int ind=1, int lc=1, int rc=(1<<lg)+1) {
    pushdown(ind);
    if(l >= rc || lc >= r) return Mp(0, 0);
    if(lc >=l && rc <= r) return seg[ind];
    int mid = (lc+rc)/2;
    return max(query(l,r,2*ind,lc,mid), query(l,r,2*ind+1,mid,rc));
}

void divide(int v) {
    mark[v] = 1;
    int p = 0;
    for(auto u : adj[v]) {
        if(mark[u] == 1) continue;
        if(u == par[0][v]) {
            p = u;
            continue;
        }
        update(1, n+1, -1);
        update(tin[u], tout[u], 1);
        int rt = q[query(tin[u], tout[u]).S];
        divide(rt);
        tree[v].pb(rt);
        // cout<<v<<' '<<rt<<endl;
        update(1, n+1, 1);
        update(tin[u], tout[u], -1);
    }

    if(p == 0) return;
    update(tin[v], tout[v], -1);
    int rt = q[query(1, n+1).S];
        // cout<<v<<' '<<rt<<endl;
    tree[v].pb(rt);
    divide(rt);
}

int dp[N];
void dfs(int v) {
    for(int u : tree[v]) {
        dfs(u);
        int lca = LCA(v, u);
        dp[v] = max(dp[v], dp[u]+h[v]+h[u]-2*h[lca]);
    }
    // fuck(v); fuck(dp[v]);
}

int main () {
	ios_base::sync_with_stdio(false), cin.tie(0);

	cin>>n;
    for(int i=1; i<=n; i++) cin>>p[i], q[p[i]]=i;
    for(int v,u,i=1; i<n; i++) {
        cin>>v>>u; adj[v].pb(u); adj[u].pb(v);
    }

    init(q[n], 0);
    build(1);

    divide(q[n]);

    dfs(q[n]);

    cout<<dp[q[n]]<<endl;

	return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 84572 KB Output is correct
2 Correct 9 ms 84572 KB Output is correct
3 Correct 9 ms 84572 KB Output is correct
4 Correct 9 ms 84472 KB Output is correct
5 Correct 9 ms 84572 KB Output is correct
6 Correct 9 ms 84572 KB Output is correct
7 Correct 9 ms 84572 KB Output is correct
8 Correct 9 ms 84460 KB Output is correct
9 Correct 9 ms 84568 KB Output is correct
10 Correct 9 ms 84440 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 84572 KB Output is correct
2 Correct 9 ms 84572 KB Output is correct
3 Correct 9 ms 84572 KB Output is correct
4 Correct 9 ms 84472 KB Output is correct
5 Correct 9 ms 84572 KB Output is correct
6 Correct 9 ms 84572 KB Output is correct
7 Correct 9 ms 84572 KB Output is correct
8 Correct 9 ms 84460 KB Output is correct
9 Correct 9 ms 84568 KB Output is correct
10 Correct 9 ms 84440 KB Output is correct
11 Correct 9 ms 84568 KB Output is correct
12 Correct 9 ms 84572 KB Output is correct
13 Correct 10 ms 84568 KB Output is correct
14 Correct 9 ms 84572 KB Output is correct
15 Correct 11 ms 84604 KB Output is correct
16 Correct 9 ms 84824 KB Output is correct
17 Correct 9 ms 84572 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 84572 KB Output is correct
2 Correct 9 ms 84572 KB Output is correct
3 Correct 9 ms 84572 KB Output is correct
4 Correct 9 ms 84472 KB Output is correct
5 Correct 9 ms 84572 KB Output is correct
6 Correct 9 ms 84572 KB Output is correct
7 Correct 9 ms 84572 KB Output is correct
8 Correct 9 ms 84460 KB Output is correct
9 Correct 9 ms 84568 KB Output is correct
10 Correct 9 ms 84440 KB Output is correct
11 Correct 9 ms 84568 KB Output is correct
12 Correct 9 ms 84572 KB Output is correct
13 Correct 10 ms 84568 KB Output is correct
14 Correct 9 ms 84572 KB Output is correct
15 Correct 11 ms 84604 KB Output is correct
16 Correct 9 ms 84824 KB Output is correct
17 Correct 9 ms 84572 KB Output is correct
18 Correct 14 ms 85308 KB Output is correct
19 Correct 17 ms 85208 KB Output is correct
20 Correct 15 ms 85340 KB Output is correct
21 Correct 14 ms 85084 KB Output is correct
22 Correct 14 ms 85048 KB Output is correct
23 Correct 13 ms 84980 KB Output is correct
24 Correct 16 ms 84828 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 84572 KB Output is correct
2 Correct 9 ms 84572 KB Output is correct
3 Correct 9 ms 84572 KB Output is correct
4 Correct 9 ms 84472 KB Output is correct
5 Correct 9 ms 84572 KB Output is correct
6 Correct 9 ms 84572 KB Output is correct
7 Correct 9 ms 84572 KB Output is correct
8 Correct 9 ms 84460 KB Output is correct
9 Correct 9 ms 84568 KB Output is correct
10 Correct 9 ms 84440 KB Output is correct
11 Correct 9 ms 84568 KB Output is correct
12 Correct 9 ms 84572 KB Output is correct
13 Correct 10 ms 84568 KB Output is correct
14 Correct 9 ms 84572 KB Output is correct
15 Correct 11 ms 84604 KB Output is correct
16 Correct 9 ms 84824 KB Output is correct
17 Correct 9 ms 84572 KB Output is correct
18 Correct 14 ms 85308 KB Output is correct
19 Correct 17 ms 85208 KB Output is correct
20 Correct 15 ms 85340 KB Output is correct
21 Correct 14 ms 85084 KB Output is correct
22 Correct 14 ms 85048 KB Output is correct
23 Correct 13 ms 84980 KB Output is correct
24 Correct 16 ms 84828 KB Output is correct
25 Correct 9 ms 84572 KB Output is correct
26 Correct 15 ms 85084 KB Output is correct
27 Correct 14 ms 85084 KB Output is correct
28 Correct 15 ms 85208 KB Output is correct
29 Correct 16 ms 85084 KB Output is correct
30 Correct 14 ms 84828 KB Output is correct
31 Correct 14 ms 84848 KB Output is correct
32 Correct 14 ms 84828 KB Output is correct
33 Correct 15 ms 84944 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 84572 KB Output is correct
2 Correct 9 ms 84572 KB Output is correct
3 Correct 9 ms 84572 KB Output is correct
4 Correct 9 ms 84472 KB Output is correct
5 Correct 9 ms 84572 KB Output is correct
6 Correct 9 ms 84572 KB Output is correct
7 Correct 9 ms 84572 KB Output is correct
8 Correct 9 ms 84460 KB Output is correct
9 Correct 9 ms 84568 KB Output is correct
10 Correct 9 ms 84440 KB Output is correct
11 Correct 9 ms 84568 KB Output is correct
12 Correct 9 ms 84572 KB Output is correct
13 Correct 10 ms 84568 KB Output is correct
14 Correct 9 ms 84572 KB Output is correct
15 Correct 11 ms 84604 KB Output is correct
16 Correct 9 ms 84824 KB Output is correct
17 Correct 9 ms 84572 KB Output is correct
18 Correct 14 ms 85308 KB Output is correct
19 Correct 17 ms 85208 KB Output is correct
20 Correct 15 ms 85340 KB Output is correct
21 Correct 14 ms 85084 KB Output is correct
22 Correct 14 ms 85048 KB Output is correct
23 Correct 13 ms 84980 KB Output is correct
24 Correct 16 ms 84828 KB Output is correct
25 Incorrect 222 ms 125916 KB Output isn't correct
26 Halted 0 ms 0 KB -

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 84568 KB Output is correct
2 Correct 10 ms 84568 KB Output is correct
3 Correct 232 ms 101636 KB Output is correct
4 Correct 238 ms 103224 KB Output is correct
5 Correct 208 ms 101596 KB Output is correct

Subtask #7
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 84572 KB Output is correct
2 Correct 9 ms 84572 KB Output is correct
3 Correct 9 ms 84572 KB Output is correct
4 Correct 9 ms 84472 KB Output is correct
5 Correct 9 ms 84572 KB Output is correct
6 Correct 9 ms 84572 KB Output is correct
7 Correct 9 ms 84572 KB Output is correct
8 Correct 9 ms 84460 KB Output is correct
9 Correct 9 ms 84568 KB Output is correct
10 Correct 9 ms 84440 KB Output is correct
11 Correct 9 ms 84568 KB Output is correct
12 Correct 9 ms 84572 KB Output is correct
13 Correct 10 ms 84568 KB Output is correct
14 Correct 9 ms 84572 KB Output is correct
15 Correct 11 ms 84604 KB Output is correct
16 Correct 9 ms 84824 KB Output is correct
17 Correct 9 ms 84572 KB Output is correct
18 Correct 14 ms 85308 KB Output is correct
19 Correct 17 ms 85208 KB Output is correct
20 Correct 15 ms 85340 KB Output is correct
21 Correct 14 ms 85084 KB Output is correct
22 Correct 14 ms 85048 KB Output is correct
23 Correct 13 ms 84980 KB Output is correct
24 Correct 16 ms 84828 KB Output is correct
25 Correct 9 ms 84572 KB Output is correct
26 Correct 15 ms 85084 KB Output is correct
27 Correct 14 ms 85084 KB Output is correct
28 Correct 15 ms 85208 KB Output is correct
29 Correct 16 ms 85084 KB Output is correct
30 Correct 14 ms 84828 KB Output is correct
31 Correct 14 ms 84848 KB Output is correct
32 Correct 14 ms 84828 KB Output is correct
33 Correct 15 ms 84944 KB Output is correct
34 Incorrect 222 ms 125916 KB Output isn't correct
35 Halted 0 ms 0 KB -