Submission #573319

#TimeUsernameProblemLanguageResultExecution timeMemory
573319MohamedAliSaidaneStranded Far From Home (BOI22_island)C++14
100 / 100
198 ms20088 KiB
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>

        using namespace __gnu_pbds;
        using namespace std;

        typedef tree<int,null_type,less<int>,rb_tree_tag,
        tree_order_statistics_node_update> indexed_set;

        typedef long long ll;
        typedef long double ld;

        typedef pair<int,int> pii;
        typedef pair<ll,ll> pll;
        typedef pair<ld,ld> pld;

        typedef vector<int> vi;
        typedef vector<ll> vll;
        typedef vector<pii> vpi;
        typedef vector<pll> vpl;

        #define pb push_back
        #define popb pop_back
        #define pp pop_back
        #define pf push_front
        #define popf pop_front
        #define all(x) (x).begin(),(x).end()
        #define ff first
        #define ss second

        ///#define int ll

        int nx[4] = {0,0,1,-1}, ny[4] = {1,-1,0,0};
        ll gcd(ll a , ll b) {return b ? gcd(b , a % b) : a ;}
        ll lcm(ll a , ll b) {return (a * b) / gcd(a , b);}

        const int nax = 2e5 + 4;
        int p[nax];
        int ans[nax];
        int n, m;
        ll s[nax];
        ll val[nax];
        vi adj[nax];
        vpl edges;
        int findset(int x, ll v)
        {
            int head = p[x] == x? x: findset(p[x],v);
            if(ans[p[x]] == 0)
                ans[x] =0;
            if(s[head] < v)
                ans[x] = 0;
            return p[x] = head;
        }
        void unite(int i, int j, ll v)
        {
            int x = findset(i,v);
            int y = findset(j,v);
            if(x == y)
                return ;
            if(s[x] > s[y])
                swap(x,y);
            p[x] = y;
            s[y] += s[x];
        }

        bool comp(pll a, pll b)
        {
            ll u = max(val[a.ff],val[a.ss]);
            ll v = max(val[b.ff],val[b.ss]);
            return u < v;
        }
        void solve()
        {

            cin >> n >> m;
            for(int i = 1; i <= n; i++)
            {
                cin >> s[i];
                val[i] = s[i];
                p[i] = i;
                ans[i] = 1;
            }
            for(int i = 1; i <= m; i ++)
            {
                int a, b;
                cin >> a >> b;
                adj[a].pb(b);
                adj[b].pb(a);
                edges.pb({a,b});
            }
            sort(all(edges),comp);
            for(auto e: edges)
            {
                ll maxi = max(val[e.ff],val[e.ss]);
                unite(e.ff,e.ss,maxi);
            }
            ll tot = 0ll;
            for(int i = 1; i <= n; i++)
                tot += val[i];
            for(int i = 1; i <= n; i++)
            {
                int x = findset(i,0);
                if(ans[i] == 0)
                    cout << 0;
                else if(s[x] < tot)
                    cout << 0;
                else
                    cout << 1;
            }
        }

        int32_t main()
        {
            ios::sync_with_stdio(false);
            cin.tie(0); cout.tie(0);
            int tt = 1;
            while(tt --)
                solve();
        }


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