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
//------------------------------------------
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <queue>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <fstream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <string>
#include <cstring>
#include <ctime>
#include <climits>
#include <limits>
#include <assert.h>
using namespace std;
typedef long long LL;
//constant
//--------------------------------------------
const double EPS = 1e-10;
const double PI = acos(-1.0);
const int INF = (int)1000000007;
const LL MOD = (LL)1000000007;//10^9+7
const LL INF2 = (LL)100000000000000000;//10^18
long double dist(pair<long double, long double> a, pair<long double, long double> b) {
long double four = 4.0000000000000000;
return (a.first - b.first)*(a.first - b.first) / four / a.second;
}
long double getr(pair<long double, long double> a, pair<long double, long double> b) {
return min(dist(a, b), b.second);
}
int main() {
int n; cin >> n;
vector<pair<long double, long double>> a(n);
for (int i = 0; i < n; i++) {
cin >> a[i].first >> a[i].second;
}
vector<long double> ans(n);
ans[0] = a[0].second;
stack<pair<long double, long double>> st;
st.push(a[0]);
for (int i = 1; i < n; i++) {
long double rnow = 10000000000;
while (!st.empty()) {
long double rb = getr(st.top(), a[i]);
rnow = min(rnow, rb);
if (rnow >= st.top().second) {
st.pop();
}
else {
break;
}
}
if (st.empty()) {
st.push({ a[i].first,rnow });
}
else {
long double rb= getr(st.top(), a[i]);
rnow = min(rnow, rb);
st.push({ a[i].first,rnow });
}
ans[i] = rnow;
}
for (int i = 0; i < n; i++) {
cout << fixed << setprecision(3) << ans[i] << endl;
}
return 0;
}
/*
2
0 2
20 10
*/
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