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Submission #586833

# Submission time Handle Problem Language Result Execution time Memory
586833 2022-06-30T18:00:21 Z nots0fast Stranded Far From Home (BOI22_island) C++17
10 / 100
 1000 ms 59552 KB 
#include <bits/stdc++.h>
using namespace std;
#define mp(a,b) make_pair(a,b)
#define mt make_tuple
#define ff first
#define setp setprecision(12)<<fixed
#define ss second
#define fori(v) for(int i=0; i<v; i++)
#define forj(v) for(int j=0; j<v; j++)
#define fork(v) for(int k=0; k<v; k++)
#define forl(v) for(int l=0; l<v; l++)
#define fort(v) for(int t=0; t<v; t++)
#define forz(v) for(int z=0; z<v; z++)
#define ll long long
#define lll __int128
#define ld long double
#define pb(a) push_back(a)
// #define cout out
// #define cin in
ll inf = pow(10,18);
ll modulo = 1000000007;
double eps = 1e-10;
ifstream in;
ofstream out;

#define MAX 200'200


ll arr[MAX];

namespace dsu{
	int aid[MAX];
	vector<int> dsu[MAX];
	vector<int> good[MAX];
	priority_queue<pair<int, int> , vector<pair<int, int> > , greater<pair<int, int> > > edg[MAX];
	ll s[MAX];
	void ini(int n){
		fori(n){
			aid[i] = i, dsu[i].clear(), dsu[i].push_back(i), good[i].pb(i), s[i] = arr[i];
			while(!edg[i].empty()){
				edg[i].pop();
			}
		}
	}
	ll join(int a,int b){  //	1 - if joined, 0 - if they were already joined 
		int aid1 = aid[a], aid2 = aid[b];
		if(aid1==aid2)
			return -1;
		
		if(dsu[aid2].size() > dsu[aid1].size())
			swap(aid1,aid2);
		
		{
			if(good[aid1].size() < good[aid2].size()){
				swap(good[aid1], good[aid2]);
			}
			for(auto& el : good[aid2]){
				good[aid1].pb(el);
			}
			good[aid2].clear();
		}
		
		{
			if(edg[aid1].size() < edg[aid2].size()){
				swap(edg[aid1], edg[aid2]);
			}
			while(!edg[aid2].empty()){
				auto tp = edg[aid2].top();
				auto hd = tp.ss;
				if(aid[hd] != aid1 && aid[hd]!=aid2){
					edg[aid1].push(tp);
				}
				edg[aid2].pop();
			}
		}
		
		
		for(auto hd : dsu[aid2]){
			aid[hd] = aid1;
			dsu[aid1].push_back(hd);
		}
		dsu[aid2].clear();
		
		s[aid1]+=s[aid2];
		
		return aid1;
	}
};

using namespace dsu;

bool debug = 0;

void deal(){
	srand(time(NULL));
	
	
	ll n, m;
	if(debug){
		n = 2e2, m = 2e3;
	}
	else{
		cin>>n>>m;
	}
	
	fori(n){
		if(debug){
			arr[i] = rand() % (100);
		}
		else{
			cin>>arr[i];
		}
	}
	ini(n);
	
	/*
	if(debug){
		fori(n-1){
			edg[0].push(mp(arr[i+1],i+1));
			edg[i+1].push(mp(arr[0],0));
		}
	}
	*/
	
	fori(m){
		ll ai, bi;
		if(!debug){
			cin>>ai>>bi;
			--ai, --bi;
		}
		else{
			ai = rand() % n , bi = (ai + rand() % (n-1) + 1)%n;
			assert(ai != bi);
		}
		edg[ai].push(mp(arr[bi], bi));
		edg[bi].push(mp(arr[ai], ai));
	}
	
	
	set<pair<ll, ll> > all; // components and their sizes
	fori(n){
		all.insert(mp(arr[i], i));
	}
	
	while((ll)all.size() > 1){
		auto it = all.begin();
		ll hd = (*it).ss;
		all.erase(all.begin());
		assert(!edg[hd].empty());
		// assert(!all.empty());
		while(1){
			auto it = edg[hd].top();
			edg[hd].pop();
			ll wh = it.ss;
			if(aid[wh] == hd){
				continue;
			}
			else{
				if(s[hd] >= arr[wh]){
					ll hr = aid[wh];
					auto it = all.find(mp(s[hr], hr) );
					if(it != all.end()){
						all.erase(it);
					}
					ll cr = join(hd, hr);
					assert(cr != -1);
					all.insert(mp(s[cr], cr));
				}
				else{
					good[hd].clear();
				}
				break;
			}
		}
		
	}
	
	ll cr = aid[0];
	vector<bool> ans(n, 0);
	for(auto& el : good[cr]){
		ans[el] = 1;
	}
	fori(n){
		cout<<ans[i];
	}
	
}

int main(){
	cin.tie(0);
	ios_base::sync_with_stdio(0);
	deal();
}

Subtask #1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 15956 KB Output is correct
2 Correct 11 ms 15924 KB Output is correct
3 Correct 7 ms 15944 KB Output is correct
4 Execution timed out 1089 ms 16212 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15956 KB Output is correct
2 Correct 9 ms 15956 KB Output is correct
3 Correct 418 ms 59552 KB Output is correct
4 Correct 324 ms 52496 KB Output is correct
5 Correct 579 ms 55528 KB Output is correct
6 Correct 573 ms 56836 KB Output is correct
7 Correct 553 ms 56728 KB Output is correct
8 Correct 342 ms 53276 KB Output is correct
9 Correct 362 ms 56408 KB Output is correct
10 Correct 166 ms 52960 KB Output is correct
11 Correct 287 ms 52912 KB Output is correct
12 Correct 442 ms 55744 KB Output is correct
13 Correct 339 ms 51352 KB Output is correct
14 Correct 306 ms 51400 KB Output is correct
15 Correct 249 ms 51472 KB Output is correct
16 Correct 197 ms 50944 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15956 KB Output is correct
2 Execution timed out 1089 ms 51032 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15956 KB Output is correct
2 Execution timed out 1083 ms 52068 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 15956 KB Output is correct
2 Correct 11 ms 15924 KB Output is correct
3 Correct 7 ms 15944 KB Output is correct
4 Execution timed out 1089 ms 16212 KB Time limit exceeded
5 Halted 0 ms 0 KB -