Submission #469052

# Submission time Handle Problem Language Result Execution time Memory
469052 2021-08-30T14:30:07 Z dawangk Balloons (CEOI11_bal) C++14
100 / 100
297 ms 11744 KB
#include <bits/stdc++.h>
using namespace std;
//#include <ext/rope>
//using namespace __gnu_cxx;
#include <ext/pb_ds/assoc_container.hpp>
#include <stdlib.h>
using namespace __gnu_pbds;

//#pragma GCC optimize("Ofast,unroll-loops")
//#pragma GCC target("avx,avx2,fma")
#define inputJunk ios_base::sync_with_stdio(0); cin.tie(0);
#define pb push_back
#define f first
#define s second
#define all(x) x.begin(), x.end()
#define debug cout<<"HERE"<<endl;
#define ell "\n"
//#define x real()
//#define y imag()

typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef pair<int, int> pi;
typedef pair<ll, ll> pll;
typedef pair<int, pi> trip;
typedef pair<pll, ll> tripll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pi> vpi;
typedef vector<pll> vpll;
typedef vector<trip> vtrip;
typedef vector<tripll> vtripll;
typedef complex<ll> point;

const int INF = 1e9+1212;
const ll P = 9973, M = 1e9+9;
const int MM = 1e6+5; int mod = 1e9+7;//99824435

int main(){
    inputJunk
    int n;cin>>n;
    vector<pair<ld, ld>> arr;

    for(int i= 0;i<n;i++){
        ld a, b;
         cin>>a>>b;
        arr.pb({a, b});
    }
    stack<pair<ld, ld>> s;

    for(int i= 0;i<n;i++){
        ld ans = arr[i].s;
        while(!s.empty()){
            ld a = s.top().f, b=  s.top().s;
            ans = min(ans, (arr[i].f-a)*(arr[i].f-a)/(4*b));
            if(ans>=b)s.pop();
            else break;
        }
        s.push({arr[i].f, ans});
        cout<<fixed<<setprecision(3)<<ans<<ell;
    }


}
/*CUSTOM TEST CASE 1
*/

/*CUSTOM TEST CASE 2
*/

/*CUSTOM TEST CASE 3
*/

/*Comments of Shame
- floating error (use integer division instead)
- cin vs getline
- upperbound and lowerbound returns iteratorsf
- use long long when number is big enough
- for dp invalid cases needs to be skipped
- some base cases won't work (review cow poetry)
- always check bounds, some TLE are due to incorrect bounds!
- dont mess up return types
= RESET ARRAYS!!!!!!!!!!
- USE UR BRAIN
- INF setting problems
- push vs pb
- check if things are used properly
- read the PROBLEM (directed vs undirected graph)
*/
/*
    freopen("time.in","r", stdin);
    freopen("time.out","w", stdout);
*/
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB 10 numbers
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB 2 numbers
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB 505 numbers
# Verdict Execution time Memory Grader output
1 Correct 3 ms 460 KB 2000 numbers
# Verdict Execution time Memory Grader output
1 Correct 27 ms 1612 KB 20000 numbers
# Verdict Execution time Memory Grader output
1 Correct 78 ms 3384 KB 50000 numbers
2 Correct 65 ms 3292 KB 49912 numbers
# Verdict Execution time Memory Grader output
1 Correct 143 ms 5916 KB 100000 numbers
# Verdict Execution time Memory Grader output
1 Correct 204 ms 6932 KB 115362 numbers
2 Correct 157 ms 7280 KB 119971 numbers
# Verdict Execution time Memory Grader output
1 Correct 279 ms 10812 KB 154271 numbers
2 Correct 261 ms 11732 KB 200000 numbers
# Verdict Execution time Memory Grader output
1 Correct 274 ms 10940 KB 200000 numbers
2 Correct 297 ms 11744 KB 199945 numbers