#include <bits/stdc++.h>
using namespace std;
#ifdef KURUMI
#include "algo/debug.h"
#endif
#define endl '\n'
#define fi first
#define se second
#define sz(v) (int)v.size()
#define all(v) v.begin(), v.end()
#define filter(v) v.resize(unique(all(v)) - v.begin())
#define dbg(x) "[" #x << " = " << x << "]"
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template<typename T1, typename T2> T2 rand(T1 l, T2 r) {
return uniform_int_distribution<T2>(l, r)(rng);
}
template<typename T1, typename T2> T2 wrand(T1 l, T2 r, int seed) {
if(seed == 0) return rand(l, r);
else return (seed > 0 ? max(rand(l, r), wrand(l, r, seed - 1)) : min(rand(l, r), wrand(l, r, seed + 1)));
}
template<typename T> bool maximize(T &a, T b) {
if(a < b) {
a = b;
return true;
}else return false;
}
template<typename T> bool minimize(T &a, T b) {
if(a > b) {
a = b;
return true;
}else return false;
}
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, int> pli;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> tp3;
const int N = 2e5 + 3;
int n;
ld x[N], limr[N];
void input() {
cin >> n;
for(int i = 1; i <= n; i++) {
cin >> x[i] >> limr[i];
}
}
ld distance(ld x, ld y, ld a, ld b) {
return sqrt((x - a) * (x - a) + (y - b) * (y - b));
}
namespace subtask_1 {
bool approve() {
return n <= 2000;
}
ld rad[N];
void execute() {
for(int i = 1; i <= n; i++) {
if(i == 1) rad[i] = limr[i];
else {
ld l = 0, r = limr[i];
for(int rep = 1; rep <= 50; rep++) {
ld mid = (l + r) / 2.0;
bool passed = true;
for(int j = 1; j < i; j++) {
if(distance(x[i], mid, x[j], rad[j]) < rad[j] + mid) {
passed = false;
break;
}
}
if(passed) rad[i] = mid, l = mid;
else r = mid;
}
}
}
for(int i = 1; i <= n; i++)
cout << fixed << setprecision(3) << rad[i] << endl;
}
}
void process() {
if(subtask_1::approve()) return subtask_1::execute();
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
#define task "Deeto"
if(fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int testcase = 1; // cin >> testcase;
for(int i = 1; i <= testcase; i++) {
input();
process();
}
cerr << "Saa, watashtachi no deeto hajimemashou" << endl;
cerr << "Atarashii kiseki wo koko kara hajimeru shining place nee mou ichido kimi to..." << endl;
return 0;
}
Compilation message (stderr)
bal.cpp: In function 'int main()':
bal.cpp:106:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
106 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
bal.cpp:107:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
107 | freopen(task".out", "w", stdout);
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