Submission #1121676

#TimeUsernameProblemLanguageResultExecution timeMemory
1121676vjudge1Stranded Far From Home (BOI22_island)C++17
100 / 100
177 ms34744 KiB
// Bolatulu
#include <bits/stdc++.h>
// #include <art.h>

/*
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
*/

typedef long long ll;
typedef unsigned long long ull; 
typedef double db;
#define pb push_back
#define eb emplace_back
#define ins insert
#define F first
#define S second
#define md (tl+tr)/2
#define TL v+v,tl,md
#define TR v+v+1,md+1,tr
#define Tl t[v].l,tl,md
#define Tr t[v].r,md+1,tr
#define all(x) (x).begin(),(x).end()
#define yes cout << "YES\n"
#define no cout << "NO\n"
#define int long long
// #define file(s) freopen(s".in", "r", stdin); freopen(s".out", "w", stdout);
using namespace std;

int binpow(int a,int n,int M) {
    if (n==0)
        return 1;
    if (n%2!=0)
        return (a * binpow(a,n-1,M))%M;
    int z=binpow(a,n/2,M);
    return (z*z)%M;
}

const ll INF = 1e18+7;
const int N = 2e5+7;

int n,m,s[N],sz[N],p[N],ans[N],nxt[N],mx[N],pos[N],sum[N];
vector <int> g[N];
int mxs=0;

int find(int v) {
    if (p[v]==v)
        return v;
    return p[v]=find(p[v]);
}

void unite(int u,int v) {
    u=find(u), v=find(v);
    if (u==v)
        return;
    if (sz[u]<sz[v])
        swap(u,v);
    p[v]=u;
    sz[u]+=sz[v];
    sum[u]+=sum[v];
}

bool u[N];

void check(int v) {
    u[v]=true;
    for (auto to : g[v]) {
        if (!u[to])
            check(to);
    }
}

void dfs(int v) {
    u[v]=true;
    if (s[v]==mxs) {
        ans[v]=1;
    } else if (nxt[v]) {
        if (!u[nxt[v]])
            dfs(nxt[v]);
        ans[v]=ans[nxt[v]];
    }
}

void solve() {
    cin >> n >> m;
    vector <pair <int,int>> v;
    for (int i=1;i<=n;i++) {
        cin >> s[i];
        mxs=max(mxs,s[i]);
        v.eb(s[i],i);
        p[i]=pos[i]=i;
        mx[i]=sum[i]=s[i];
        sz[i]=1;
    }
    sort(all(v));
    while (m--) {
        int u,v;
        cin >> u >> v;
        g[u].pb(v);
        g[v].pb(u);
    }
    check(1);
    bool ok=true;
    for (int i=1;i<=n;i++) {
        if (!u[i])
            ok=false;
        u[i]=false;
    }
    if (!ok) {
        for (int i=1;i<=n;i++)
            cout << 0;
        return;
    }
    for (int i=0;i<n;i++) { 
        int x=v[i].S;
        for (auto to : g[x]) {
            if ((s[to]<s[x] or (s[to]==s[x] and to<x)) and find(x)!=find(to)) {
                to=find(to);
                if (sum[to]>=s[x]) {
                    nxt[pos[to]]=x;
                }
                unite(x,to);
                mx[find(x)]=s[x];
                pos[find(x)]=x;
            }
        }
    }
    for (int i=1;i<=n;i++) {
        if (!u[i])
            dfs(i);
    }
    for (int i=1;i<=n;i++) {
        // cout << nxt[i] << '\n';
        cout << ans[i];
    }
}   

signed main() {
    // file("jenga");
    ios_base::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr);
    int test = 1;
    // cin >> test;
    while (test--) {
        solve();
        if (test)
            cout << '\n';
    }
    return 0;
}
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