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Submission #656740

# Submission time Handle Problem Language Result Execution time Memory
656740 2022-11-08T06:50:58 Z Tuanlinh123 Factories (JOI14_factories) C++17
100 / 100
 6007 ms 450020 KB 
// #define _GLIBCXX_DEBUG
#include "factories.h"
#include<bits/stdc++.h>
#define ll long long
#define ld long double
#define pll pair<ll,ll>
#define mp make_pair
#define pb push_back
#define fi first
#define se second

using namespace std;

ll n, Time;
ll tin[500005], tout[500005], dist[500005], dis[500005];
vector <pll> euler;
vector <pll> a[500005];
priority_queue <pll, vector <pll>, greater<pll>> q;

void dfs(ll u, ll pa)
{
    tin[u]=euler.size();
    euler.pb({dist[u], u});
    for (pll ed:a[u])
    {
        ll v=ed.fi, w=ed.se;
        if (v==pa)
            continue;
        dist[v]=dist[u]+w;
        dfs(v, u);
        euler.pb({dist[u], u});
    }
    tout[u]=euler.size()-1;
}

struct Sparse
{
    ll n;
    vector <ll> lg;
    vector <vector <pll>> sp;

    void init(ll n)
    {
        this->n=n;
        lg.assign(n+1, 0);
        for (ll i=2; i<=n; i++)
            lg[i]=lg[i/2]+1;
        sp.resize(lg[n]+1);
        for (ll i=0; i<=lg[n]; i++)
            sp[i].assign(n+1, {0, 0});
        for (ll i=0; i<n; i++)
            sp[0][i]=euler[i];
        for (ll i=1; i<=lg[n]; i++)
            for (ll j=0; j+(1<<i)<=n; j++)
                sp[i][j]=min(sp[i-1][j], sp[i-1][j+(1<<(i-1))]);
    }

    ll LCA(ll l, ll r)
    {
        l=tin[l], r=tin[r];
        if (l>r) swap(l, r);
        ll j=lg[r-l+1];
        return min(sp[j][l], sp[j][r-(1<<j)+1]).se;
    }

    ll distance(ll u, ll v)
    {
        ll p=LCA(u, v);
        ll ans=dist[u]+dist[v]-dist[p]*2;
        return ans;
    }
} b;



void Init(int N, int A[], int B[], int C[]) 
{
    n=N;
    for (ll i=0; i<n-1; i++)
        a[A[i]].pb({B[i], C[i]}), a[B[i]].pb({A[i], C[i]});
    dfs(0, 0);
    b.init(euler.size());
}

bool cmp(ll a, ll b)
{
    return tin[a]<tin[b];
}

ll Query(int S, int X[], int T, int Y[])
{
    map <ll, ll> Map;
    vector <ll> ver;
    vector <vector <pll>> edge;
    for (ll i=0; i<S; i++)
        ver.pb(X[i]);
    for (ll i=0; i<T; i++)
        ver.pb(Y[i]);
    sort(ver.begin(), ver.end(), cmp);
    for (ll i=ver.size()-1; i>=1; i--)
        ver.pb(b.LCA(ver[i], ver[i-1]));
    sort(ver.begin(), ver.end(), cmp);
    ver.resize(unique(ver.begin(), ver.end())-ver.begin());
    edge.resize(ver.size());
    vector <ll> st;
    for (ll i=0; i<ver.size(); i++)
    {
        dis[i]=-1;
        Map[ver[i]]=i;
        if (i==0)
        {
            st.pb(i);
            continue;
        }
        while (tin[ver[st.back()]]>tin[ver[i]] || tout[ver[st.back()]]<tout[ver[i]])
            st.pop_back();
        edge[i].pb({st.back(), b.distance(ver[i], ver[st.back()])});
        edge[st.back()].pb({i, b.distance(ver[i], ver[st.back()])});
        st.pb(i);
    }
    for (ll i=0; i<S; i++)
        dis[Map[X[i]]]=0, q.push({0, Map[X[i]]});
    while (!q.empty())
    {
        ll u=q.top().se, disu=q.top().fi; q.pop();
        if (dis[u]!=disu)
            continue;
        for (pll ed:edge[u])
        {
            ll v=ed.fi, w=ed.se;
            if (dis[v]==-1 || dis[v]>dis[u]+w)
            {
                dis[v]=dis[u]+w;
                q.push({dis[v], v});
            }
        }
    }
    ll ans=1e18;
    for (ll i=0; i<T; i++)
        ans=min(ans, dis[Map[Y[i]]]);
    return ans;
}

Compilation message

factories.cpp: In function 'long long int Query(int, int*, int, int*)':
factories.cpp:106:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  106 |     for (ll i=0; i<ver.size(); i++)
      |                  ~^~~~~~~~~~~

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 12608 KB Output is correct
2 Correct 1837 ms 23640 KB Output is correct
3 Correct 1930 ms 23204 KB Output is correct
4 Correct 1918 ms 24092 KB Output is correct
5 Correct 1627 ms 23872 KB Output is correct
6 Correct 1261 ms 23552 KB Output is correct
7 Correct 1949 ms 23120 KB Output is correct
8 Correct 1908 ms 24164 KB Output is correct
9 Correct 1687 ms 23956 KB Output is correct
10 Correct 1241 ms 23496 KB Output is correct
11 Correct 1932 ms 23244 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 12372 KB Output is correct
2 Correct 1713 ms 399000 KB Output is correct
3 Correct 1777 ms 403696 KB Output is correct
4 Correct 1341 ms 396632 KB Output is correct
5 Correct 1407 ms 440004 KB Output is correct
6 Correct 1895 ms 405092 KB Output is correct
7 Correct 2390 ms 92312 KB Output is correct
8 Correct 1191 ms 91744 KB Output is correct
9 Correct 1135 ms 97696 KB Output is correct
10 Correct 2190 ms 93580 KB Output is correct

Subtask #3
67.0 / 67.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 12608 KB Output is correct
2 Correct 1837 ms 23640 KB Output is correct
3 Correct 1930 ms 23204 KB Output is correct
4 Correct 1918 ms 24092 KB Output is correct
5 Correct 1627 ms 23872 KB Output is correct
6 Correct 1261 ms 23552 KB Output is correct
7 Correct 1949 ms 23120 KB Output is correct
8 Correct 1908 ms 24164 KB Output is correct
9 Correct 1687 ms 23956 KB Output is correct
10 Correct 1241 ms 23496 KB Output is correct
11 Correct 1932 ms 23244 KB Output is correct
12 Correct 10 ms 12372 KB Output is correct
13 Correct 1713 ms 399000 KB Output is correct
14 Correct 1777 ms 403696 KB Output is correct
15 Correct 1341 ms 396632 KB Output is correct
16 Correct 1407 ms 440004 KB Output is correct
17 Correct 1895 ms 405092 KB Output is correct
18 Correct 2390 ms 92312 KB Output is correct
19 Correct 1191 ms 91744 KB Output is correct
20 Correct 1135 ms 97696 KB Output is correct
21 Correct 2190 ms 93580 KB Output is correct
22 Correct 5103 ms 420544 KB Output is correct
23 Correct 3915 ms 425372 KB Output is correct
24 Correct 6007 ms 425280 KB Output is correct
25 Correct 5453 ms 429344 KB Output is correct
26 Correct 4143 ms 406200 KB Output is correct
27 Correct 3766 ms 450020 KB Output is correct
28 Correct 2919 ms 417684 KB Output is correct
29 Correct 3853 ms 405340 KB Output is correct
30 Correct 3970 ms 404588 KB Output is correct
31 Correct 3818 ms 405432 KB Output is correct
32 Correct 2747 ms 112028 KB Output is correct
33 Correct 2165 ms 109020 KB Output is correct
34 Correct 2641 ms 90696 KB Output is correct
35 Correct 2556 ms 90616 KB Output is correct
36 Correct 2969 ms 91532 KB Output is correct
37 Correct 2898 ms 91508 KB Output is correct