Submission #792681

# Submission time Handle Problem Language Result Execution time Memory
792681 2023-07-25T08:03:05 Z Theo830 Cat Exercise (JOI23_ho_t4) C++17
100 / 100
341 ms 65156 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll INF = 1e9+7;
const ll MOD = 998244353;
typedef pair<ll,ll> ii;
#define iii pair<ll,ii>
#define f(i,a,b) for(ll i = a;i < b;i++)
#define pb push_back
#define vll vector<ll>
#define F first
#define S second
#define all(x) (x).begin(), (x).end()
///I hope I will get uprating and don't make mistakes
///I will never stop programming
///sqrt(-1) Love C++
///Please don't hack me
///@TheofanisOrfanou Theo830
///Think different approaches (bs,dp,greedy,graphs,shortest paths,mst)
///Stay Calm
///Look for special cases
///Beware of overflow and array bounds
///Think the problem backwards
///Training
ll n;
ll p[200005];
vector<vll>adj;
ll dp[200005];
ll par[200005];
ll an[200005][20];
ll depth[200005] = {0};
ll find_par(ll x){
    if(par[x] == x){
        return x;
    }
    return par[x] = find_par(par[x]);
}
void enose(ll a,ll b){
    ll p1 = find_par(a);
    ll p2 = find_par(b);
    par[p1] = p2;
}
ll kth(ll a,ll k){
    ll pos = 0;
    while(k){
        if(k % 2){
            a = an[a][pos];
        }
        pos++;
        k /= 2;
    }
    return a;
}
ll lca(ll a,ll b){
    if(depth[a] > depth[b]){
        swap(a,b);
    }
    b = kth(b,depth[b] - depth[a]);
    if(a == b){
        return a;
    }
    for(ll j = 19;j >= 0;j--){
        if(an[a][j] != an[b][j]){
            a = an[a][j];
            b = an[b][j];
        }
    }
    return an[a][0];
}
ll dist(ll a,ll b){
    return depth[a] + depth[b] - 2 * depth[lca(a,b)];
}
void build(ll idx,ll par){
    an[idx][0] = par;
    f(j,1,20){
        an[idx][j] = an[an[idx][j-1]][j-1];
    }
    for(auto x:adj[idx]){
        if(x != par){
            depth[x] = depth[idx] + 1;
            build(x,idx);
        }
    }
}
ll solve(ll idx){
    if(dp[idx] != -1){
        return dp[idx];
    }
    ll ans = 0;
    for(auto x:adj[idx]){
        if(p[x] < p[idx]){
            ans = max(ans,solve(find_par(x)) + dist(find_par(x),idx));
            enose(x,idx);
        }
    }
    return dp[idx] = ans;
}
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin>>n;
    adj.assign(n+5,vll());
    ll root = -1;
    vector<ii>ex;
    f(i,0,n){
        cin>>p[i+1];
        ex.pb(ii(p[i+1],i+1));
        if(p[i+1] == n){
            root = i+1;
        }
    }
    f(i,0,n-1){
        ll a,b;
        cin>>a>>b;
        adj[a].pb(b);
        adj[b].pb(a);
    }
    f(i,0,n+5){
        par[i] = i;
    }
    memset(dp,-1,sizeof dp);
    build(root,0);
    sort(all(ex));
    for(auto x:ex){
        solve(x.S);
    }
    cout<<solve(root)<<"\n";
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB Output is correct
2 Correct 1 ms 1872 KB Output is correct
3 Correct 1 ms 1832 KB Output is correct
4 Correct 1 ms 1876 KB Output is correct
5 Correct 1 ms 1868 KB Output is correct
6 Correct 1 ms 1876 KB Output is correct
7 Correct 1 ms 1876 KB Output is correct
8 Correct 1 ms 1872 KB Output is correct
9 Correct 1 ms 1868 KB Output is correct
10 Correct 1 ms 1876 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB Output is correct
2 Correct 1 ms 1872 KB Output is correct
3 Correct 1 ms 1832 KB Output is correct
4 Correct 1 ms 1876 KB Output is correct
5 Correct 1 ms 1868 KB Output is correct
6 Correct 1 ms 1876 KB Output is correct
7 Correct 1 ms 1876 KB Output is correct
8 Correct 1 ms 1872 KB Output is correct
9 Correct 1 ms 1868 KB Output is correct
10 Correct 1 ms 1876 KB Output is correct
11 Correct 1 ms 2004 KB Output is correct
12 Correct 2 ms 2004 KB Output is correct
13 Correct 1 ms 1908 KB Output is correct
14 Correct 1 ms 2004 KB Output is correct
15 Correct 1 ms 1876 KB Output is correct
16 Correct 1 ms 2004 KB Output is correct
17 Correct 1 ms 1996 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB Output is correct
2 Correct 1 ms 1872 KB Output is correct
3 Correct 1 ms 1832 KB Output is correct
4 Correct 1 ms 1876 KB Output is correct
5 Correct 1 ms 1868 KB Output is correct
6 Correct 1 ms 1876 KB Output is correct
7 Correct 1 ms 1876 KB Output is correct
8 Correct 1 ms 1872 KB Output is correct
9 Correct 1 ms 1868 KB Output is correct
10 Correct 1 ms 1876 KB Output is correct
11 Correct 1 ms 2004 KB Output is correct
12 Correct 2 ms 2004 KB Output is correct
13 Correct 1 ms 1908 KB Output is correct
14 Correct 1 ms 2004 KB Output is correct
15 Correct 1 ms 1876 KB Output is correct
16 Correct 1 ms 2004 KB Output is correct
17 Correct 1 ms 1996 KB Output is correct
18 Correct 4 ms 3412 KB Output is correct
19 Correct 4 ms 3412 KB Output is correct
20 Correct 3 ms 3412 KB Output is correct
21 Correct 3 ms 3416 KB Output is correct
22 Correct 3 ms 3292 KB Output is correct
23 Correct 3 ms 3284 KB Output is correct
24 Correct 3 ms 3284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB Output is correct
2 Correct 1 ms 1872 KB Output is correct
3 Correct 1 ms 1832 KB Output is correct
4 Correct 1 ms 1876 KB Output is correct
5 Correct 1 ms 1868 KB Output is correct
6 Correct 1 ms 1876 KB Output is correct
7 Correct 1 ms 1876 KB Output is correct
8 Correct 1 ms 1872 KB Output is correct
9 Correct 1 ms 1868 KB Output is correct
10 Correct 1 ms 1876 KB Output is correct
11 Correct 1 ms 2004 KB Output is correct
12 Correct 2 ms 2004 KB Output is correct
13 Correct 1 ms 1908 KB Output is correct
14 Correct 1 ms 2004 KB Output is correct
15 Correct 1 ms 1876 KB Output is correct
16 Correct 1 ms 2004 KB Output is correct
17 Correct 1 ms 1996 KB Output is correct
18 Correct 4 ms 3412 KB Output is correct
19 Correct 4 ms 3412 KB Output is correct
20 Correct 3 ms 3412 KB Output is correct
21 Correct 3 ms 3416 KB Output is correct
22 Correct 3 ms 3292 KB Output is correct
23 Correct 3 ms 3284 KB Output is correct
24 Correct 3 ms 3284 KB Output is correct
25 Correct 2 ms 1876 KB Output is correct
26 Correct 4 ms 3412 KB Output is correct
27 Correct 4 ms 3412 KB Output is correct
28 Correct 4 ms 3412 KB Output is correct
29 Correct 4 ms 3412 KB Output is correct
30 Correct 4 ms 3284 KB Output is correct
31 Correct 4 ms 3216 KB Output is correct
32 Correct 4 ms 3284 KB Output is correct
33 Correct 4 ms 3204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB Output is correct
2 Correct 1 ms 1872 KB Output is correct
3 Correct 1 ms 1832 KB Output is correct
4 Correct 1 ms 1876 KB Output is correct
5 Correct 1 ms 1868 KB Output is correct
6 Correct 1 ms 1876 KB Output is correct
7 Correct 1 ms 1876 KB Output is correct
8 Correct 1 ms 1872 KB Output is correct
9 Correct 1 ms 1868 KB Output is correct
10 Correct 1 ms 1876 KB Output is correct
11 Correct 1 ms 2004 KB Output is correct
12 Correct 2 ms 2004 KB Output is correct
13 Correct 1 ms 1908 KB Output is correct
14 Correct 1 ms 2004 KB Output is correct
15 Correct 1 ms 1876 KB Output is correct
16 Correct 1 ms 2004 KB Output is correct
17 Correct 1 ms 1996 KB Output is correct
18 Correct 4 ms 3412 KB Output is correct
19 Correct 4 ms 3412 KB Output is correct
20 Correct 3 ms 3412 KB Output is correct
21 Correct 3 ms 3416 KB Output is correct
22 Correct 3 ms 3292 KB Output is correct
23 Correct 3 ms 3284 KB Output is correct
24 Correct 3 ms 3284 KB Output is correct
25 Correct 135 ms 61924 KB Output is correct
26 Correct 129 ms 65156 KB Output is correct
27 Correct 146 ms 65048 KB Output is correct
28 Correct 164 ms 62752 KB Output is correct
29 Correct 174 ms 63972 KB Output is correct
30 Correct 166 ms 63676 KB Output is correct
31 Correct 149 ms 64196 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB Output is correct
2 Correct 1 ms 1876 KB Output is correct
3 Correct 164 ms 53888 KB Output is correct
4 Correct 176 ms 57160 KB Output is correct
5 Correct 171 ms 57156 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1876 KB Output is correct
2 Correct 1 ms 1872 KB Output is correct
3 Correct 1 ms 1832 KB Output is correct
4 Correct 1 ms 1876 KB Output is correct
5 Correct 1 ms 1868 KB Output is correct
6 Correct 1 ms 1876 KB Output is correct
7 Correct 1 ms 1876 KB Output is correct
8 Correct 1 ms 1872 KB Output is correct
9 Correct 1 ms 1868 KB Output is correct
10 Correct 1 ms 1876 KB Output is correct
11 Correct 1 ms 2004 KB Output is correct
12 Correct 2 ms 2004 KB Output is correct
13 Correct 1 ms 1908 KB Output is correct
14 Correct 1 ms 2004 KB Output is correct
15 Correct 1 ms 1876 KB Output is correct
16 Correct 1 ms 2004 KB Output is correct
17 Correct 1 ms 1996 KB Output is correct
18 Correct 4 ms 3412 KB Output is correct
19 Correct 4 ms 3412 KB Output is correct
20 Correct 3 ms 3412 KB Output is correct
21 Correct 3 ms 3416 KB Output is correct
22 Correct 3 ms 3292 KB Output is correct
23 Correct 3 ms 3284 KB Output is correct
24 Correct 3 ms 3284 KB Output is correct
25 Correct 2 ms 1876 KB Output is correct
26 Correct 4 ms 3412 KB Output is correct
27 Correct 4 ms 3412 KB Output is correct
28 Correct 4 ms 3412 KB Output is correct
29 Correct 4 ms 3412 KB Output is correct
30 Correct 4 ms 3284 KB Output is correct
31 Correct 4 ms 3216 KB Output is correct
32 Correct 4 ms 3284 KB Output is correct
33 Correct 4 ms 3204 KB Output is correct
34 Correct 135 ms 61924 KB Output is correct
35 Correct 129 ms 65156 KB Output is correct
36 Correct 146 ms 65048 KB Output is correct
37 Correct 164 ms 62752 KB Output is correct
38 Correct 174 ms 63972 KB Output is correct
39 Correct 166 ms 63676 KB Output is correct
40 Correct 149 ms 64196 KB Output is correct
41 Correct 1 ms 1876 KB Output is correct
42 Correct 1 ms 1876 KB Output is correct
43 Correct 164 ms 53888 KB Output is correct
44 Correct 176 ms 57160 KB Output is correct
45 Correct 171 ms 57156 KB Output is correct
46 Correct 262 ms 62752 KB Output is correct
47 Correct 311 ms 62736 KB Output is correct
48 Correct 284 ms 63676 KB Output is correct
49 Correct 253 ms 62840 KB Output is correct
50 Correct 324 ms 56728 KB Output is correct
51 Correct 341 ms 56732 KB Output is correct
52 Correct 276 ms 56752 KB Output is correct
53 Correct 338 ms 56752 KB Output is correct