Submission #998474

#TimeUsernameProblemLanguageResultExecution timeMemory
998474hippo123Balloons (CEOI11_bal)C++17
10 / 100
471 ms11432 KiB
#include <bits/stdc++.h>
using namespace std;

#define pr pair<double, double>
#define ll long long
#define pb push_back
#define f first
#define s second
vector<double> x, r;
vector<pr> xr;

bool check(double mid, int bb, int be){
	
	bool judge=false;
	for (int i=bb; i<be; i++){
		double rr=(mid+r[xr[bb].s])*(mid+r[xr[bb].s]);
		
		double dist1=(mid-r[xr[bb].s])*(mid-r[xr[bb].s])+(x[be]-x[xr[bb].s])*(x[be]-x[xr[bb].s]);

		if(rr>=dist1){
			judge=true; break;
		}
	} 	
	return judge;
		
}
	

int main(){
	int n; cin>>n;
	x.resize(n); r.resize(n); xr.resize(n);
	for (int i=0; i<n; i++) {
		cin>>x[i]>>r[i];
		xr[i].f=x[i]+r[i]; xr[i].s=i; 
	}
	sort(xr.begin(), xr.end());
	vector<double> ans(n);
	for (int i=0; i<n; i++){
		if(i==0) {
			ans[i]=r[i]; 
			continue;
		}
		//
		pr node={x[i]-r[i], 0};
		int pos=lower_bound(xr.begin(), xr.begin()+n, node)-xr.begin(); // pos can only be less than or equal to i;

		if(pos==i) {ans[i]=r[i]; continue;}
		
		double lft=0; double rht=r[i]; 
		while(rht-lft>0.00001){
			double mid=lft+(rht-lft)/2;

			if(check(mid, pos, i)) {
				rht=mid;
			}
			else lft=mid;			
			
		}
		ans[i]=lft;
	}
	cout << fixed <<setprecision(3);
	for (int i=0; i<n; i++) cout<<ans[i]<<endl;
}
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