This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define taskname "1"
#include<bits/stdc++.h>
#define db double
#define ii pair<db, int>
#define ff first
#define ss second
using namespace std;
const int maxn = 2e5 + 10;
const db eps = 1e-9;
int n;
db ans[maxn], x[maxn], r[maxn];
priority_queue<ii, vector<ii>, less<ii>> st;
bool check(int i, int j)
{
db minlen = (ans[i] * ans[i] + ((x[j]-x[i]) * (x[j]-x[i]) / 4.0))/ans[i] - ans[i];
return r[j] - minlen >= 0;
}
db cal(int i, int j)
{
db minlen = (ans[i] * ans[i] + ((x[j]-x[i]) * (x[j]-x[i]) / 4.0))/ans[i] - ans[i];
return min(r[j], minlen);
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
cin>>n;
for (int i=1; i<=n; i++)
{
cin>>x[i]>>r[i];
while (!st.empty() && !check(st.top().ss, i) && r[i] > ans[st.top().ss]) st.pop();
ans[i] = st.empty() ? (db)r[i] : cal(st.top().ss, i);
st.emplace(ans[i], i);
}
for (int i=1; i<=n; i++) cout<<setprecision(3)<<fixed<<ans[i]<<"\n";
}
/**
3
0 9
8 1
13 7
**/
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