oj.uz

Submission #442744

# Submission time Handle Problem Language Result Execution time Memory
442744 2021-07-08T20:04:33 Z leaked Shymbulak (IZhO14_shymbulak) C++14
80 / 100
 166 ms 26956 KB 
#include <bits/stdc++.h>
//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("-O3")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#define vec vector
#define sz(x) ( int)x.size()
#define m_p make_pair
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define int long long
using namespace std;
typedef long long ll;
typedef pair<ll, int> pli;
typedef pair<int,ll> pil;
typedef pair<int,int> pii;
typedef unsigned long long ull;
auto rng=bind(uniform_int_distribution<int>(1,1000),mt19937(time(0)));
template<class T> bool umax(T &a,const T &b){return (a<b?a=b,1:0);}
template<class T> bool umin(T &a,const T &b){return (a>b?a=b,1:0);}
const int N=2e5+1;
vec<int> g[N];
int n;
int dst[N];
int used[N],pr[N];
vec<int>cyc;
//vec<int>g
void dfs(int v,int p){
    used[v]=1;
    for(auto &z : g[v]){
        if(z==p) continue;
        if(used[z]==1){
            int u=v;
            while(u!=z){
                cyc.pb(u);
                u=pr[u];
            }
            cyc.pb(u);
        }
        else if(!used[z]){
             pr[z]=v;
             dfs(z,v);
        }
    }
    used[v]=2;
}
pii ans=m_p(0,0);
pii dp[N];
void upd(pii &a,pii b){
    if(a.f<b.f) a=b;
    else if(a.f==b.f) a.s+=b.s;
}
void dfs2(int v,int p){
    vec<int>vc;
    dp[v]={0,1};
    for(auto &z : g[v]){
        if(used[z] || z==p) continue;
        dfs2(z,v);
        upd(dp[v],{dp[z].f+1,dp[z].s});
        vc.pb(z);
    }
    int m=sz(vc);
    vec<pii>pref(m),suf(m);
    pii me={0,0};
    for(int i=0;i<m;i++){
        int z=vc[i];
        pref[i]=me;
        upd(me,{dp[z].f+1,dp[z].s});
    }
    for(int i=0;i<m;i++){
        pii x=pref[i];
        if(x.f==0) x.s=1;
        upd(ans,m_p(dp[vc[i]].f+1+x.f,1ll*x.s*dp[vc[i]].s));
    }
}
struct myset{
    map<int,int>mp;
    int ad=0;
    void add(pii x){
        x.f-=ad;
        mp[x.f]+=x.s;
    }
    void del(pii x){
        x.f-=ad;
        assert(mp[x.f]>=x.s);
        mp[x.f]-=x.s;
        if(!mp[x.f]) mp.erase(x.f);
    }
    pii get(){
        pii x={-1e9,-1};
        if(sz(mp)){
            x=*mp.rbegin();
        }
        x.f+=ad;
        return x;
    }
}f,s;
signed main(){
    ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
    cin>>n;
//    assert(n<=500);
    for(int i=0;i<n;i++){
        int v,u;
        cin>>v>>u;--v;--u;
        g[v].pb(u);g[u].pb(v);
    }
    dfs(0,0);
    fill(used,used+n,0);
    for(auto &z : cyc) used[z]=1;
    for(auto &z : cyc){
        dfs2(z,z);
    }
    assert(sz(cyc));
//    cerr<<ans.f<<' '<<ans.s<<endl;
    int l=sz(cyc)/2;
//    cout<<l<<endl;
    for(int i=0;i<sz(cyc);i++){
        int v=cyc[i];
        if(i>l){
            s.add({dp[v].f+sz(cyc)-i,dp[v].s});
        }
        else{
            f.add({dp[v].f+i,dp[v].s});
        }
    }
    auto dst=[&](int i,int j){
        int x=abs(i-j);
        return min(x,sz(cyc)-x);
    };
    for(int i=0;i<sz(cyc);i++){
        int v=cyc[i];
        f.del(dp[v]);
//        cerr<<<<' '<<dp[i].f<<' '<<f.get().f<<' '<<s.get().f<<endl;
        pii me=f.get();
        upd(ans,{me.f+dp[v].f,1ll*me.s*dp[v].s});
        if(sz(cyc)%2==0){
            int u=cyc[(i+l)%2];
            pii x={dp[u].f+dp[v].f,1ll*dp[u].s*dp[u].s};
            upd(ans,x);
        }
        int j=(i+l+1)%sz(cyc);
        int u=cyc[j];
        s.del({dp[u].f+dst(i,j),dp[u].s});
        s.add(dp[v]);
        s.ad++;
        f.ad--;
        f.add({dp[u].f+dst((i+1)%sz(cyc),j),dp[u].s});
    }
    assert(ans.s>=0);
//    cout<<ans.f<<' '<<ans.s<<endl;
    cout<<ans.s;
    return 0;
}

/*
5
1 2
2 3
3 4
4 5
5 1
*/

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 3 ms 4940 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 3 ms 4940 KB Output is correct
6 Correct 3 ms 4940 KB Output is correct
7 Correct 3 ms 4940 KB Output is correct
8 Correct 3 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 4940 KB Output is correct
12 Correct 3 ms 4940 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 3 ms 5068 KB Output is correct
15 Correct 3 ms 5068 KB Output is correct

Subtask #2
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5196 KB Output is correct
2 Correct 4 ms 5068 KB Output is correct
3 Correct 4 ms 5068 KB Output is correct
4 Incorrect 3 ms 5068 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 11956 KB Output is correct
2 Correct 70 ms 12100 KB Output is correct
3 Correct 76 ms 19104 KB Output is correct
4 Correct 54 ms 11800 KB Output is correct
5 Correct 54 ms 11788 KB Output is correct
6 Correct 166 ms 18376 KB Output is correct
7 Correct 121 ms 14996 KB Output is correct
8 Correct 105 ms 18640 KB Output is correct
9 Correct 105 ms 18756 KB Output is correct
10 Correct 99 ms 19908 KB Output is correct
11 Correct 108 ms 25972 KB Output is correct
12 Correct 115 ms 26956 KB Output is correct