QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#618637 | #5151. Bottle Flip | Rafat_Kabir | AC ✓ | 0ms | 3960kb | C++20 | 3.5kb | 2024-10-07 01:11:41 | 2024-10-07 01:11:42 |
Judging History
answer
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#include <time.h>
#include <cstdlib>
#include <ctime>
#include <cstdio>
#include <cstring>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <iostream>
using namespace __gnu_pbds;
using namespace std;
template <class T>
using Tree =
tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// to erase in multiset-> less_equal<T> and
// s.erase(s.find_by_order(s.order_of_key(x)))
// lower_bound(x)=>(cannot use the stl lower_bound function)
// ll idx = s.order_of_key(x)
// if(idx == s.size()) -> no lower_bound
// else lb = *s.find_by_order(idx) // as 0-indexing
// idx-1 will give highest value which is strictly less than x
// for upper_bound->do the same with (x+1)
typedef long long ll;
typedef long double ld;
typedef pair<int,int> p32;
typedef pair<ll,ll> p64;
typedef tuple<ll, ll, ll> t64;
typedef vector<t64> vt64;
typedef vector<vt64> vvt64;
typedef pair<double,double> pdd;
typedef vector<ll> v64;
typedef vector<int> v32;
typedef vector<vector<int> > vv32;
typedef vector<vector<ll> > vv64;
typedef vector<vector<p64> > vvp64;
typedef vector<p64> vp64;
typedef vector<p32> vp32;
typedef vector<vector<p32> > vvp32;
typedef vector<bool> vb;
ll mod = 1e9+7, MOD = 998244353;
double eps = 1e-12;
// #define forn(i,e) for(ll i = 0; i < e; i++)
#define FOR(s, e, i) for(int i = s; i <= e; i++)
// #define rforn(i,s) for(ll i = s; i >= 0; i--)
#define ROF(s ,e, i) for(int i = s; i >= e; i--)
#define coutAll(A) for(auto asdafas : A) cout << asdafas << " "; cout << "\n";
#define foutAll(A) for(auto asdafas : A) fout << asdafas << " "; cout << "\n";
#define cinAll(A) for(auto &asdafas : A) cin >> asdafas;
#define finAll(A) for(auto &asdafas : A) fin >> asdafas;
#define minpq priority_queue<ll, v64, greater<ll>>
#define maxpq priority_queue<ll>
#define ln "\n"
#define dbg(x) cout<<#x<<" = "<<x<<ln
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define fi first
#define se second
ll inf = LLONG_MAX;
#define fast_cin() ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) ((ll)(x).size())
#define yes cout<<"YES\n"
#define no cout<<"NO\n"
using namespace std;
typedef long long ll;
typedef vector<ll> vll;
typedef vector<vector<ll>> vvll;
typedef pair<ll, ll> pll;
typedef pair<ll, ll> pii;
//#define MAXN 1000000
double h, r, da, dw;
double f(double hw){
double Hw = hw/2;
double Ha = hw+(h-hw)/2;
double ha = h-hw;
double com = (hw*dw*Hw+ha*da*Ha)/(hw*dw+ha*da);
return com;
}
double ternary_search(double l, double r) {
double eps = 1e-9; //set the error limit here
while (r - l > eps) {
double m1 = l + (r - l) / 3;
double m2 = r - (r - l) / 3;
double f1 = f(m1); //evaluates the function at m1
double f2 = f(m2); //evaluates the function at m2
if (f1 < f2)
r = m2;
else
l = m1;
}
return l; //return the maximum of f(x) in [l, r]
}
void solve(int it)
{
cin >> h >> r >> da >> dw;
cout << fixed << setprecision(20) << ternary_search(0, h);
}
int main()
{
fast_cin();
ll t = 1;
// cin >> t;
for(int it=1; it<=t; it++)
{
//cout << "Case " << it << ": ";
solve(it);
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3824kb
input:
22 4 1 4
output:
7.33333335101252359323
result:
ok found '7.3333334', expected '7.3333333', error '0.0000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
7 2 655 988
output:
3.14159427336305041578
result:
ok found '3.1415943', expected '3.1415942', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
1 1 1 2
output:
0.41421357102271511019
result:
ok found '0.4142136', expected '0.4142136', error '0.0000000'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3948kb
input:
1000 1000 999 1000
output:
499.87516345234263326347
result:
ok found '499.8751635', expected '499.8749375', error '0.0000005'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
1000 1000 1 1000
output:
30.65343029171408417710
result:
ok found '30.6534303', expected '30.6534300', error '0.0000000'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3952kb
input:
1 1000 1 1000
output:
0.03065342966502548200
result:
ok found '0.0306534', expected '0.0306534', error '0.0000000'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3956kb
input:
1000 1000 482 483
output:
499.74101270020884157930
result:
ok found '499.7410127', expected '499.7409326', error '0.0000002'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3892kb
input:
1 1000 482 483
output:
0.49974106597976342137
result:
ok found '0.4997411', expected '0.4997409', error '0.0000001'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
1 1000 1 2
output:
0.41421357102271511019
result:
ok found '0.4142136', expected '0.4142136', error '0.0000000'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
1000 1000 1 2
output:
414.21356776242760133755
result:
ok found '414.2135678', expected '414.2135624', error '0.0000000'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3904kb
input:
961 1000 979 983
output:
480.01006475564889797170
result:
ok found '480.0100648', expected '480.0101932', error '0.0000003'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
997 1000 977 983
output:
497.73705802645986295829
result:
ok found '497.7370580', expected '497.7369880', error '0.0000001'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
1 928 1 66
output:
0.10960059122918310026
result:
ok found '0.1096006', expected '0.1096006', error '0.0000000'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
1 928 2 88
output:
0.13100580543377438048
result:
ok found '0.1310058', expected '0.1310058', error '0.0000000'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
1 928 3 74
output:
0.16760090722839471322
result:
ok found '0.1676009', expected '0.1676009', error '0.0000000'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3896kb
input:
1 928 3 41
output:
0.21290885888830221595
result:
ok found '0.2129089', expected '0.2129089', error '0.0000000'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
1 928 1 12
output:
0.22400923804109570958
result:
ok found '0.2240092', expected '0.2240092', error '0.0000000'
Test #18:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
2 928 89 93
output:
0.98900984930056612399
result:
ok found '0.9890098', expected '0.9890097', error '0.0000002'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3904kb
input:
7 928 51 72
output:
3.19900990847468591483
result:
ok found '3.1990099', expected '3.1990099', error '0.0000000'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
722 547 709 752
output:
355.68642128035315863599
result:
ok found '355.6864213', expected '355.6863918', error '0.0000001'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
242 742 518 920
output:
103.74290693724367429240
result:
ok found '103.7429069', expected '103.7429035', error '0.0000000'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
873 701 43 201
output:
276.08755848944002764256
result:
ok found '276.0875585', expected '276.0875558', error '0.0000000'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
268 228 527 562
output:
131.84610736077056003523
result:
ok found '131.8461074', expected '131.8460919', error '0.0000001'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
312 558 341 839
output:
121.46838358943644209376
result:
ok found '121.4683836', expected '121.4683851', error '0.0000000'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3960kb
input:
274 85 178 364
output:
112.75649326579345199661
result:
ok found '112.7564933', expected '112.7564907', error '0.0000000'
Test #26:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
641 539 341 977
output:
238.05444114092057361631
result:
ok found '238.0544411', expected '238.0544387', error '0.0000000'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
245 861 438 872
output:
101.61838237218957203822
result:
ok found '101.6183824', expected '101.6183839', error '0.0000000'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
640 181 156 606
output:
215.41983844602893327647
result:
ok found '215.4198384', expected '215.4198349', error '0.0000000'