제출 #869485

#제출 시각아이디문제언어결과실행 시간메모리
869485lolismekStranded Far From Home (BOI22_island)C++14
100 / 100
639 ms58916 KiB
#include <algorithm>
#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <map>

#define int long long

#define pii pair <int, int>


using namespace std;

//ifstream fin("input.in");
//ofstream fout("output.out");

#define fin cin
#define fout cout

const int NMAX = 2e5;

int v[NMAX + 1];
vector <int> adj[NMAX + 1];

int par[NMAX + 1];
int sum[NMAX + 1];

int Find(int x)
{
    if(x == par[x])
    {
        return x;
    }
    return par[x] = Find(par[x]);
}

void Join(int x, int y)
{
    x = Find(x);
    y = Find(y);

    if(x == y)
    {
        return;
    }

    par[x] = y;
    sum[y] += sum[x];
}

bool ins[NMAX + 1];

void Insert(int x)
{
    ins[x] = true;
    for(int vec : adj[x])
    {
        if(ins[vec])
        {
            Join(vec, x);
        }
    }
}

bool ans[NMAX + 1];

vector <int> inds[NMAX + 1];

int wher[NMAX + 1];
vector <int> quer[NMAX + 1];

signed main()
{

    int n, m;
    fin >> n >> m;

    priority_queue <pii, vector <pii>, greater <pii>> pq;

    vector <int> vals;
    for(int i = 1; i <= n; i++)
    {
        fin >> v[i];
        par[i] = i;
        sum[i] = v[i];
        vals.push_back(v[i]);
        ans[i] = 1;
    }

    for(int i = 1; i <= m; i++)
    {
        int a, b;
        fin >> a >> b;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }

    sort(vals.begin(), vals.end());
    vals.erase(unique(vals.begin(), vals.end()), vals.end());

    map <int, int> norm;
    for(int i = 0; i < (int)vals.size(); i++)
    {
        norm[vals[i]] = i;
    }

    for(int i = 1; i <= n; i++)
    {
        inds[norm[v[i]]].push_back(i);
        quer[norm[v[i]]].push_back(i);
        wher[i] = norm[v[i]];
    }

    for(int val = 0; val < (int)vals.size(); val++)
    {
        for(int ind : inds[val])
        {
            Insert(ind);
        }

        for(int x : quer[val])
        {
            int s = sum[Find(x)];
            int st = 0, dr = (int)vals.size() - 1, a = 0;
            while(st <= dr)
            {
                int mid = (st + dr) / 2;
                if(vals[mid] <= s)
                {
                    a = mid;
                    st = mid + 1;
                }
                else
                {
                    dr = mid - 1;
                }
            }

            if(a > val)
            {
                wher[x] = a;
                quer[a].push_back(x);
            }
        }
    }

    for(int i = 1; i <= n; i++)
    {
        if(wher[i] == (int)vals.size() - 1)
        {
            fout << 1;
        }
        else
        {
            fout << 0;
        }
    }

    return 0;
}
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