This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#include<fstream>
using namespace std;
ifstream fin("HCN.INP");
ofstream fout("HCN.OUT");
#define sz(a) (int)a.size()
#define ll long long
#define pb push_back
#define forr(i, a, b) for(int i = a; i < b; i++)
#define dorr(i, a, b) for(int i = a; i >= b; i--)
#define ld long double
#define vt vector
#include<fstream>
#define fi first
#define se second
#define pll pair<ll, ll>
#define pii pair<int, int>
const ld PI = 3.14159265359;
//using u128 = __uint128_t;
//const int x[4] = {1, -1, 0, 0};
//const int y[4] = {0, 0, 1, -1};
const ll mod = 1e9 + 9;
const int mxn = 1e5 + 5, mxq = 2e5 + 5, sq = 200, mxv = 2e6 + 5;
const ll inf = 1e17 + 5;
//const int base= (1 << 18);
int n;
ll x[mxn + 1], r[mxn + 1];
ld ans[mxn + 1];
ld dist(ld a, ld b, ld c, ld d){
return(sqrtl((c - a) * (c - a) + (d - b) * (d - b)));
}
signed main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n;
for(int i = 1; i <= n; i++){
cin >> x[i] >> r[i];
}
ans[1] = r[1];
cout << fixed << setprecision(10);
cout << ans[1] << "\n";
for(int i = 2; i <= n; i++){
ld lp = 0.001, rp = r[i]; ans[i] = 0;
for(int j = 0; j < 50; j++){
ld mid = (lp + rp) / 2.0;
bool ok = 1;
for(int k = i - 1; k >= 1; k--){
ld need = dist(x[k], ans[k], x[i], mid);
if(need < mid + ans[k]){
ok = 0; break;
}
}
if(ok){
ans[i] = mid; lp = mid;
}else{
rp = mid;
}
}
cout << ans[i] << "\n";
}
return(0);
}
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