Submission #1216272

#	Time	Username	Problem	Language	Result	Execution time	Memory
1216272		jerzyk	Security Guard (JOI23_guard)	C++20	100 / 100	397 ms	64424 KiB

guard

#include <bits/stdc++.h>

using namespace std;
#define pb push_back
#define st first
#define nd second
typedef long long ll;
typedef long double ld;
const ll I = 1'000'000'000'000'000'000LL;
const int II = 2'000'000'000;
const ll M = 1'000'000'007LL;
const int N = 1<<19;
int fau[N], bst[N];
pair<int, pair<int, int>> e[N];

priority_queue<pair<int, int>> ed[N];

set<pair<int, int>> pos;
set<pair<int, int>>::iterator it;

int tab[N];
ll ans = 0LL;

ll answer[N];


int Find(int v)
{
    if(fau[v] == v) return v;
    return (fau[v] = Find(fau[v]));
}

void Union(int a, int b)
{
    a = Find(a); b = Find(b);
    fau[b] = a;
}

void A(int v)
{
    Find(v);
    while((int)ed[v].size() > 0 && fau[v] == Find(ed[v].top().nd))
        ed[v].pop();
    if((int)ed[v].size() == 0) return;
    pos.insert(pair{-ed[v].top().st - bst[v], v});
}

void R(int v)
{
    if((int)ed[v].size() == 0) return;
    pos.erase(pair{-ed[v].top().st - bst[v], v});
}

void Union2(int a, int b)
{
    a = Find(a); b = Find(b);
    R(a); R(b);
    if((int)ed[a].size() < (int)ed[b].size()) swap(a, b);
    fau[b] = a;
    bst[a] = min(bst[a], bst[b]);
    while((int)ed[b].size() > 0)
    {
        ed[a].push(ed[b].top());
        ed[b].pop();
    }
    A(a);
}

void Solve()
{
    int n, m, a, b, q, ma = 0, mi = II;
    cin >> n >> m >> q;
    for(int i = 1; i <= n; ++i)
    {
        fau[i] = i;
        cin >> tab[i]; bst[i] = tab[i];
        ma = max(ma, tab[i]);
        mi = min(mi, tab[i]);
    }
    ans = ma;
    ans += (ll)(n - 2) * (ll)mi;
    for(int i = 1; i <= m; ++i)
    {
        cin >> a >> b;
        e[i] = pair{tab[a] + tab[b], pair{a, b}};
    }
    sort(e + 1, e + 1 + m);
    for(int i = 1; i <= m; ++i)
    {
        if(Find(e[i].nd.st) == Find(e[i].nd.nd)) continue;
        Union(e[i].nd.st, e[i].nd.nd);
        ed[e[i].nd.st].push(pair{-e[i].st, e[i].nd.nd});
        ed[e[i].nd.nd].push(pair{-e[i].st, e[i].nd.st});
    }
    for(int i = 1; i <= n; ++i)
        {fau[i] = i; bst[i] = tab[i];}
    for(int i = 1; i <= n; ++i)
        A(i);   
    answer[n - 1] = ans;
    //cout << "S: " << ans << "\n";
    for(int l = 1; l < n; ++l)
    {
        ans -= mi; it = pos.begin();
        ans += (*it).st;
        int a = (*it).nd;
        //cout << "L: " << l << " " << a << " " << ed[a].top().nd << " " << (*it).st << " | " << ans << '\n';
        Union2(a, ed[a].top().nd);
        answer[n - 1 - l] = ans;
    }
    int j = -1;
    for(int i = 0; i <= q; ++i)
    {
        if(j < n - 1) ++j;
        cout << answer[j] << "\n";
    }
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    //int t; cin >> t;
    //while(t--)
        Solve();

    return 0;
}

• Subtask 1: 12 / 12
• Subtask 2: 13 / 13
• Subtask 3: 12 / 12
• Subtask 4: 13 / 13
• Subtask 5: 8 / 8
• Subtask 6: 18 / 18
• Subtask 7: 24 / 24