QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#140816 | #5151. Bottle Flip | RetiredButNotTired# | AC ✓ | 1ms | 3848kb | C++20 | 1.0kb | 2023-08-16 20:52:39 | 2023-08-16 20:52:43 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
int tt, tc;
const long double PI = acos(-1);
void solve() {
long double h, r, da, dw;
cin >> h >> r >> da >> dw;
auto cyl = [&](long double height) {
return PI * r * r * height;
};
long double totvol = cyl(h);
auto f = [&](long double hw) { // outputs the height of the center of mass
long double volw = cyl(hw);
long double massw = dw * volw;
long double massa = da * (totvol - volw);
long double h1 = hw / 2.0;
long double h2 = hw + (h - hw) / 2.0;
long double resh = massw * h1 + massa * h2;
resh = resh / (massw + massa);
return resh;
};
long double L = 0, R = h;
int ctr = 100;
while (ctr--) {
long double mid = (R - L) / 3.0;
long double y1 = L + mid, y2 = R - mid;
if (f(y1) > f(y2)) L = y1;
else R = y2;
}
cout << fixed << setprecision(9) << L << "\n";
}
int main() {
ios::sync_with_stdio(0); cin.tie(0);
tt = 1, tc = 1; //cin >> tt;
while (tt--) solve(), tc++;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3840kb
input:
22 4 1 4
output:
7.333333330
result:
ok found '7.3333333', expected '7.3333333', error '0.0000000'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3744kb
input:
7 2 655 988
output:
3.141594171
result:
ok found '3.1415942', expected '3.1415942', error '0.0000000'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3664kb
input:
1 1 1 2
output:
0.414213562
result:
ok found '0.4142136', expected '0.4142136', error '0.0000000'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3668kb
input:
1000 1000 999 1000
output:
499.874934621
result:
ok found '499.8749346', expected '499.8749375', error '0.0000000'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3836kb
input:
1000 1000 1 1000
output:
30.653430034
result:
ok found '30.6534300', expected '30.6534300', error '0.0000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3748kb
input:
1 1000 1 1000
output:
0.030653430
result:
ok found '0.0306534', expected '0.0306534', error '0.0000000'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
1000 1000 482 483
output:
499.740932336
result:
ok found '499.7409323', expected '499.7409326', error '0.0000000'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
1 1000 482 483
output:
0.499740931
result:
ok found '0.4997409', expected '0.4997409', error '0.0000000'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3684kb
input:
1 1000 1 2
output:
0.414213562
result:
ok found '0.4142136', expected '0.4142136', error '0.0000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3792kb
input:
1000 1000 1 2
output:
414.213562072
result:
ok found '414.2135621', expected '414.2135624', error '0.0000000'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
961 1000 979 983
output:
480.010188845
result:
ok found '480.0101888', expected '480.0101932', error '0.0000000'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
997 1000 977 983
output:
497.736986162
result:
ok found '497.7369862', expected '497.7369880', error '0.0000000'
Test #13:
score: 0
Accepted
time: 1ms
memory: 3776kb
input:
1 928 1 66
output:
0.109600591
result:
ok found '0.1096006', expected '0.1096006', error '0.0000000'
Test #14:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
1 928 2 88
output:
0.131005804
result:
ok found '0.1310058', expected '0.1310058', error '0.0000000'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3796kb
input:
1 928 3 74
output:
0.167600907
result:
ok found '0.1676009', expected '0.1676009', error '0.0000000'
Test #16:
score: 0
Accepted
time: 1ms
memory: 3684kb
input:
1 928 3 41
output:
0.212908855
result:
ok found '0.2129089', expected '0.2129089', error '0.0000000'
Test #17:
score: 0
Accepted
time: 1ms
memory: 3752kb
input:
1 928 1 12
output:
0.224009238
result:
ok found '0.2240092', expected '0.2240092', error '0.0000000'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3796kb
input:
2 928 89 93
output:
0.989009660
result:
ok found '0.9890097', expected '0.9890097', error '0.0000000'
Test #19:
score: 0
Accepted
time: 1ms
memory: 3740kb
input:
7 928 51 72
output:
3.199009876
result:
ok found '3.1990099', expected '3.1990099', error '0.0000000'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3744kb
input:
722 547 709 752
output:
355.686391507
result:
ok found '355.6863915', expected '355.6863918', error '0.0000000'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
242 742 518 920
output:
103.742903467
result:
ok found '103.7429035', expected '103.7429035', error '0.0000000'
Test #22:
score: 0
Accepted
time: 1ms
memory: 3664kb
input:
873 701 43 201
output:
276.087555606
result:
ok found '276.0875556', expected '276.0875558', error '0.0000000'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
268 228 527 562
output:
131.846091844
result:
ok found '131.8460918', expected '131.8460919', error '0.0000000'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3740kb
input:
312 558 341 839
output:
121.468385030
result:
ok found '121.4683850', expected '121.4683851', error '0.0000000'
Test #25:
score: 0
Accepted
time: 1ms
memory: 3664kb
input:
274 85 178 364
output:
112.756490684
result:
ok found '112.7564907', expected '112.7564907', error '0.0000000'
Test #26:
score: 0
Accepted
time: 1ms
memory: 3792kb
input:
641 539 341 977
output:
238.054438664
result:
ok found '238.0544387', expected '238.0544387', error '0.0000000'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3684kb
input:
245 861 438 872
output:
101.618383908
result:
ok found '101.6183839', expected '101.6183839', error '0.0000000'
Test #28:
score: 0
Accepted
time: 1ms
memory: 3664kb
input:
640 181 156 606
output:
215.419834882
result:
ok found '215.4198349', expected '215.4198349', error '0.0000000'