This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ll long long
#define ld long double
#define ar array
#define vt vector
#define pb push_back
#define pf push_front
#define lb lower_bound
#define ub upper_bound
#define all(v) v.begin(), v.end()
ll FIRSTTRUE(function<bool(ll)> f, ll lb, ll rb) {
while(lb<rb) {
ll mb=(lb+rb)/2;
f(mb)?rb=mb:lb=mb+1;
}
return lb;
}
ll LASTTRUE(function<bool(ll)> f, ll lb, ll rb) {
while(lb<rb) {
ll mb=(lb+rb+1)/2;
f(mb)?lb=mb:rb=mb-1;
}
return lb;
}
const ll INF=1000000000000000000LL;
const ll MOD=1e9+7;
//const ll MOD=998244353; //sometimes need to be used
ll bpow(ll a, ll b) {
a%=MOD;
ll res=1;
while(b>0) {
if(b&1)
res=res*a%MOD;
a=a*a%MOD;
b>>=1;
}
return res;
}
int gcd_x, gcd_y, gcd_d;
int gcd(int a, int b) {
if (!b) {
gcd_x=1;
gcd_y=0;
return a;
}
gcd_d=gcd(b, a%b);
int tmp=gcd_x;
gcd_x=gcd_y;
gcd_y=tmp-(a/b)*gcd_y;
return gcd_d;
}
const int d4i[4]={-1, 0, 1, 0}, d4j[4]={0, 1, 0, -1};
const int d8i[8]={-1, -1, 0, 1, 1, 1, 0, -1}, d8j[8]={0, 1, 1, 1, 0, -1, -1, -1};
double calc_r(pair<double, double> a, double bx) {
return (a.first-bx)*(a.first-bx)/(4*a.second);
}
void solve() {
//solve here
int n;
cin >> n;
vt<double> ans(n);
stack<pair<double, double>> st;
for(int i=0; i<n; ++i) {
double x, r;
cin >> x >> r;
double mx_r=r;
while(!st.empty()) {
pair<double, double> last=st.top();
double to_last_r=calc_r(last, x);
mx_r=min(mx_r, to_last_r);
if(mx_r>=last.second) {
st.pop();
continue;
}
else {
break;
}
}
st.push({x, mx_r});
ans[i]=mx_r;
}
cout << fixed << setprecision(3);
for(auto& a: ans) {
cout << a << "\n";
}
}
signed main() {
ios::sync_with_stdio(0);
cin.tie(0);
//freopen("template.inp", "r", stdin);
//freopen("template.out", "w", stdout);
int TC=1;
//cin >> TC;
while(TC--) {
solve();
}
}
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