Submission #919694

#TimeUsernameProblemLanguageResultExecution timeMemory
919694NeltStranded Far From Home (BOI22_island)C++17
100 / 100
233 ms45224 KiB
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,avx2,fma,popcnt")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

/* DEFINES */
#define S second
#define F first
#define ll long long
#define ull unsigned long long
#define ld long double
#define npos ULLONG_MAX
#define INF LLONG_MAX
#define vv(a) vector<a>
#define ss(a) set<a>
#define pp(a, b) pair<a, b>
#define mm(a, b) map<a, b>
#define qq(a) queue<a>
#define pq(a) priority_queue<a>
#define ump(a, b) unordered_map<a, b>
#define ANDROID                   \
    ios_base::sync_with_stdio(0); \
    cin.tie(0);                   \
    cout.tie(0);
#define allc(a) begin(a), end(a)
#define all(a) a, a + sizeof(a) / sizeof(a[0])
#define elif else if
#define endl "\n"
#define pb push_back
#define ins insert
#define logi __lg
#define sqrt sqrtl
#define mpr make_pair
using namespace std;
using namespace __cxx11;
using namespace __gnu_pbds;
typedef char chr;
typedef basic_string<chr> str;
template <typename T, typename key = less<T>>
using ordered_set = tree<T, null_type, key, rb_tree_tag, tree_order_statistics_node_update>;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll N = 2e5 + 5;
ll b[N];
struct Dsu
{
    ll n, ans;
    vv(ll) dsu, sum;
    vv(vv(ll)) s;
    Dsu(ll sz = 1)
    {
        n = sz;
        ans = n;
        dsu.resize(n + 1, 0);
        sum.resize(n + 1, 0);
        s.resize(n + 1);
        init();
    }
    void init()
    {
        for (ll i = 1; i <= n; i++)
            dsu[i] = -1, s[i] = {i};
    }
    bool Union(ll x, ll y)
    {
        x = repr(x), y = repr(y);
        if (x == y)
            return false;
        if (dsu[x] < dsu[y])
            swap(x, y);
        ans--;
        for (ll i : s[x])
            s[y].pb(i);
        s[x].clear();
        dsu[y] += dsu[x];
        sum[y] += sum[x];
        dsu[x] = y;
        return true;
    }
    ll repr(ll x)
    {
        if (dsu[x] < 0)
            return x;
        return dsu[x] = repr(dsu[x]);
    }
    ll query()
    {
        return ans;
    }
    ll size(ll x)
    {
        return -dsu[repr(x)];
    }
};
void solve()
{
    ll n, m;
    cin >> n >> m;
    pp(ll, ll) a[n + 1];
    vv(ll) g[n + 1];
    for (ll i = 1; i <= n; i++)
        cin >> a[i].F, a[i].S = i, b[i] = a[i].F;
    Dsu dsu(n);
    for (ll i = 1; i <= n; i++)
        dsu.sum[i] = b[i];
    while (m--)
    {
        ll a, b;
        cin >> a >> b;
        g[a].pb(b);
        g[b].pb(a);
    }
    sort(a + 1, a + n + 1);
    ll ans[n + 1];
    for (ll i = 1; i <= n; i++)
        ans[i] = 1;
    for (ll _ = 1; _ <= n; _++)
    for (ll i : {a[_].S})
    for (ll j : g[i])
        if (b[j] <= b[i])
        {
            ll rprj = dsu.repr(j), rpri = dsu.repr(i);
            if (dsu.sum[rprj] < b[i])
            {
                for (ll k : dsu.s[rprj])
                    ans[k] = 0;
                dsu.s[rprj].clear();
            }
            dsu.Union(rprj, rpri);
        }
    for (ll i = 1; i <= n; i++)
        cout << ans[i];
    cout << endl;
}
/*

*/
int main()
{
    ANDROID
    // precomp();
    ll t = 1;
    // cin >> t;
    for (ll i = 1; i <= t; i++)
        // cout << "Case #" << i << ": ",
        solve();
    cerr << "\nTime elapsed : " << clock() * 1000.0 / CLOCKS_PER_SEC << " ms\n";
}
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