#include <bits/stdc++.h>
#define int int64_t //be careful about this
using namespace std;
#define vt vector
#define ar array
#define pr pair
#define f first
#define s second
#define pb push_back
#define eb emplace_back
#define fr(i,a,b) for(int i = a; i < b; ++i)
#define rf(i,a,b) for(int i = b-1; i >= a; --i)
#define all(x) x.begin(),x.end()
#define mem(a,b) memset(a,b,sizeof(a))
namespace IN{
template<class T> void re(vector<T> &A);
template<class S,class T> void re(pair<S,T> &A);
template<class T,size_t N> void re(array<T,N> &A);
template<class T> void re(T& x){
cin >> x;}
template<class H, class... T> void re(H& h, T&... t){
re(h); re(t...);}
template<class T> void re(vector<T> &A){
for(auto& x : A) re(x);}
template<class S,class T> void re(pair<S,T> &A){
re(A.first); re(A.second);}
template<class T,size_t N> void re(array<T,N> &A){
for(int i = 0; i < N; ++i) re(A[i]);}
}
namespace OUT{
template<class T>
void __p(const T& a){ cout<<a; }
template<class T, class F>
void __p(const pair<T, F>& a){ cout<<"{"; __p(a.first); cout<<","; __p(a.second); cout<<"}\n"; }
template<class T, size_t N>
void __p(const array<T,N>& a){ cout<<"{"; for(int i=0;i<N;++i)__p(a[i]),cout<<",}\n"[i+1==N]; }
template<class T>
void __p(const vector<T>& a){
cout<<"{";for(auto it=a.begin();it<a.end();it++)__p(*it),cout<<",}\n"[it+1==a.end()]; }
template<class T, class ...Arg>
void __p(T a1, Arg ...a){__p(a1); __p(a...); }
template<class Arg1>
void __f(const char *s, Arg1 &&arg1){ cout<<s<<" : "; __p(arg1); cout<<endl; }
template<class Arg1, class ... Args>
void __f(const char *ss, Arg1 &&arg1, Args &&... args){
int b=0,i=0; do{ if(ss[i]=='(') b++; if(ss[i]==')') b--; i++;}while(!(ss[i]==','&&b==0));
const char *comma=ss+i; cout.write(ss,comma-ss)<<" : ";__p(arg1);cout<<" | ";__f(comma+1,args...);}
#define trace(...) cout<<"Line:"<<__LINE__<<" ", __f(#__VA_ARGS__, __VA_ARGS__)
}
namespace FUNC{
void IO(string s = ""){
ios_base::sync_with_stdio(NULL);
cin.tie(nullptr);
cout.precision(5);
cout << fixed;
if(!s.empty()){
freopen((s+".in").c_str(),"r",stdin);
freopen((s+".out").c_str(),"w",stdout);
}
}
const auto start_time = chrono::high_resolution_clock::now();
void output_run_time(){
// will work for ac,cc&&cf.
#ifndef ONLINE_JUDGE
auto end_time = chrono::high_resolution_clock::now();
chrono::duration<double> diff = end_time-start_time;
cout << "\n\n\nTime Taken : " << diff.count();
#endif
}
template<class T> bool ckmin(T& a, const T& b){
return b < a ? a = b, true : false; }
template<class T> bool ckmax(T& a, const T& b){
return a < b ? a = b, true : false; }
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
int my_rand(int L, int R){
return uniform_int_distribution<int>(L,R)(rng); }
template<class T> int sz(const T& x){
return int(x.size()); }
template<class T> int lb(const vector<T>& vec,const T& val){
return int(lower_bound(vec.begin(), vec.end(),val) - vec.begin()); }
template<class T> int ub(const vector<T>& vec,const T& val){
return int(upper_bound(vec.begin(), vec.end(),val) - vec.begin()); }
constexpr int dx[4] = {1,0,-1,0};
constexpr int dy[4] = {0,1,0,-1};
constexpr char dr[4] = {'D','R','U','L'};
constexpr long long INFLL1 = 1e16, INFLL2 = 9e18;
constexpr int INF = 2e9;
template<class T>
vector<T> V(int n,T val){
return vector<T> (n,val);
}
template<class T>
vector<vector<T>> V(int n,int m,T val){
return vector<vector<T>> (n,vector<T> (m,val));
}
template<class T>
vector<vector<vector<T>>> V(int n,int m,int k,T val){
return vector<vector<vector<T>>> (n,vector<vector<T>> (m,vector<T> (k,val)));
}
}
using namespace IN;
using namespace OUT;
using namespace FUNC;
signed main(){
IO();
int n;
re(n);
vt<int> x(n), r(n);
fr(i,0,n){
re(x[i],r[i]);
}
vt<int> stk;
vt<long double> R(n,-1);
stk.push_back(0);
R[0] = r[0];
auto f = [&](int i,int j) -> long double {
assert(R[i] < 0.0 && R[j] > 0.0);
return min((long double)1.0 * r[i], (long double)1.0 * (x[i] - x[j]) * (x[i] - x[j]) / R[j] / 4.0);
};
fr(i,1,n){
while(sz(stk) >= 2){
int j = end(stk)[-1], k = end(stk)[-2];
if(f(i,k) < f(i,j))
stk.pop_back();
else
break;
}
R[i] = f(i,end(stk)[-1]);
stk.push_back(i);
}
fr(i,0,n){
cout << R[i] << "\n";
}
// output_run_time();
return 0;
}
Compilation message
bal.cpp: In function 'void FUNC::IO(std::string)':
bal.cpp:68:14: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
68 | freopen((s+".in").c_str(),"r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
bal.cpp:69:14: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
69 | freopen((s+".out").c_str(),"w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
10 numbers |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
2 numbers |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
1 ms |
296 KB |
17th numbers differ - expected: '213.0000000000', found: '234.0000000000', error = '21.0000000000' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
3 ms |
432 KB |
114th numbers differ - expected: '39.0180000000', found: '56.0000000000', error = '16.9820000000' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
15 ms |
1336 KB |
196th numbers differ - expected: '100.7250000000', found: '111.0000000000', error = '10.2750000000' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
40 ms |
2776 KB |
14045th numbers differ - expected: '15399.0000000000', found: '15419.0000000000', error = '20.0000000000' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
93 ms |
5320 KB |
7310th numbers differ - expected: '7939.8510000000', found: '7941.0000000000', error = '1.1490000000' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
110 ms |
6108 KB |
4793rd numbers differ - expected: '0.9540000000', found: '10.6222700000', error = '9.6682700000' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
120 ms |
8092 KB |
1734th numbers differ - expected: '1856.0220000000', found: '1865.0000000000', error = '8.9780000000' |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
148 ms |
9972 KB |
2723rd numbers differ - expected: '859.0470000000', found: '862.0000000000', error = '2.9530000000' |
| 2 |
Halted |
0 ms |
0 KB |
- |
