Submission #1136299

#TimeUsernameProblemLanguageResultExecution timeMemory
1136299thelegendary08Stranded Far From Home (BOI22_island)C++17
20 / 100
225 ms38324 KiB
#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
#define pb push_back
#define mp make_pair
#define int long long
#define vi vector<int>
#define vvi vector<vector<int>>
#define pii pair<int, int>
#define vpii vector<pair<int, int>>
#define vc vector<char>
#define vb vector<bool>
#define mii map<int,int>
#define f0r(i,n) for(int i=0;i<n;i++)
#define FOR(i,k,n) for(int i=k;i<n;i++)
#define all(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()
#define in(a) int a; cin>>a
#define in2(a,b) int a,b; cin>>a>>b
#define in3(a,b,c) int a,b,c; cin>>a>>b>>c
#define in4(a,b,c,d) int a,b,c,d; cin>>a>>b>>c>>d
#define vin(v,n); vi v(n); f0r(i,n){cin>>v[i];}
#define out(a) cout<<a<<'\n'
#define out2(a,b) cout<<a<<' '<<b<<'\n'
#define out3(a,b,c) cout<<a<<' '<<b<<' '<<c<<'\n'
#define out4(a,b,c,d) cout<<a<<' '<<b<<' '<<c<<' '<<d<<'\n'
#define pout(a) cout<<a.first<<' '<<a.second<<'\n'
#define vout(v) for(auto u : v){cout<<u<<' ';} cout<<'\n'
#define dout(a) cout<<a<<' '<<#a<<'\n'
#define dout2(a,b) cout<<a<<' '<<#a<<' '<<b<<' '<<#b<<'\n'
#define yn(x); if(x){cout<<"YES"<<'\n';}else{cout<<"NO"<<'\n';}
const int leg = 1e9 + 7;
const int mod = 998244353;
using namespace std;
using namespace __gnu_pbds;
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> os;
const int mxn = 2e5 + 5;
int n,m;
vector<int>v;
vi adj[mxn];
vi et;
vi st(mxn);
vi sz(mxn);
vi par(mxn);
int timer = 0;
int euler_tour(int node, int from){
	par[node] = from;
	int ret = 1;
	et.pb(node);
	st[node] = timer;
	timer++;
	for(auto u : adj[node]){
		if(u != from){
			ret += euler_tour(u, node);
		}
	}
	sz[node] = ret;
	return ret;
}
void sub1(){
	f0r(st, n){
		priority_queue<pii>q;
		vb vis(n);
		vis[st] = 1;
		for(auto u : adj[st]){
			vis[u] = 1;
			q.push({-v[u], u});
		}
		int cur = v[st];
		bool ok = 1;
		
		while(!q.empty()){
			int node = q.top().second;
			q.pop();
			if(v[node] > cur){
				ok = 0;
				break;
			}
			else{
				cur += v[node];
				for(auto u : adj[node]){
					if(vis[u])continue;
					vis[u] = 1;
					q.push({-v[u], u});
				}
			}
		}
		cout<<ok;
		
	}
}
void sub2(){
	euler_tour(0, -1);
	vi values(n);
	f0r(i,n){
		values[i] = v[et[i]];
	}
	vi ps(n+1);
	FOR(i, 1, n+1){
		ps[i] = ps[i-1] + values[i-1];
	}
	//vout(values);
	queue<int>q;
	q.push(0);
	vb vis(n);
	vis[0] = 1;
	vb ans(n);
	while(!q.empty()){
		int node = q.front();
		q.pop();
		//dout2(node,ps[st[node] + sz[node]] - ps[st[node]]);
		//if(node != 0)dout(par[node]);
		if(node == 0 || ps[st[node] + sz[node]] - ps[st[node]] >= v[par[node]]){
			ans[node] = 1;
			//dout(node);
			for(auto u : adj[node]){
				if(vis[u])continue;
				vis[u] = 1;
				q.push(u);
			}
		}
		
	}
	f0r(i,n)cout<<ans[i];
}
void sub3(){
	vi ps(n+1);
	FOR(i, 1, n+1)ps[i] = ps[i-1] + v[i-1];
	os s;
	vpii w;
	f0r(i,n){
		w.pb({v[i],i});
	}
	sort(rall(w));
	vb ans(n);
	vi tmp;
	f0r(i,n){
		int dex = w[i].second;
		int num = w[i].first;
		int l = -1; 
		int r = -1;
		int pos = s.order_of_key(dex);
		//auto it = lower_bound(all(s), dex);
		if(pos != s.size())r = *s.find_by_order(pos);
		if(pos != 0)l = *s.find_by_order(pos-1);
		/*
		if(it != s.end()){
			r = *it;
		}
		if(it != s.begin()){
			it--;
			l = *it;
		}
		*/
		int fi = 4e18;
		int se = 4e18;
		if(l != -1 && ans[l])fi = v[l];
		if(r != -1 && ans[r])se = v[r];
		if(l == -1)l = 0;
		else l++;
		if(r == -1)r = n-1;
		else r--;
		//out3(dex,l,r);
		if(ps[r+1] - ps[l] >= min(fi,se) || (fi == 4e18 && se == 4e18)){
			ans[dex] = 1;
		}
		tmp.pb(dex);
		if(i != n-1 && w[i+1].first != w[i].first){
			for(auto u : tmp){
				s.insert(u);
			}
			tmp.clear();
		}
	}
	f0r(i,n)cout<<ans[i];
	cout<<'\n';
}
signed main(){
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	//ifstream cin(".in");
	//ofstream cout(".out");
	cin>>n>>m;
	v.resize(n);
	f0r(i,n)cin>>v[i];
	f0r(i,m){
		in2(a,b);
		adj[--a].pb(--b);
		adj[b].pb(a);
	}
	/*
	sub1();
	cout<<'\n';
	sub2();
	*/
	//sub3();
	
	bool s2 = 1;
	f0r(i, n-1){
		if(v[i] < v[i+1])s2 = 0;
	}
	if(n <= 2000 && m <= 2000){
		sub1();
	}
	else if(s2){ 
		sub2();
	}
	else{
		sub3();
	}
	
	
}
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