QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#140895 | #5151. Bottle Flip | emailam# | AC ✓ | 1ms | 3812kb | C++20 | 674b | 2023-08-16 22:37:33 | 2023-08-16 22:37:34 |
Judging History
answer
# include <bits/stdc++.h>
using namespace std ;
typedef long double ld ;
const ld PI = acos(-1) ;
int main(){
int h , r , da , dw ; cin >> h >> r >> da >> dw ;
auto f = [&]( ld mid ){
ld w = PI * mid * r * r * dw ;
ld a = PI * ( h - mid ) * r * r * da ;
return ( w * h/2 + a * ( mid + (h - mid)/2 ) )/( w + a ) ;
};
ld s = 0 , e = h ;
for (int i = 0; i < 100; ++i) {
ld m1 = s + 1.0*(e-s)/3 ;
ld m2 = e - 1.0*(e-s)/3 ;
if ( f(m1) <= f(m2) ){
s = m1 ;
}else{
e = m2 ;
}
}
cout << fixed << setprecision(10) << s ;
return 0 ;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3636kb
input:
22 4 1 4
output:
7.3333333417
result:
ok found '7.3333333', expected '7.3333333', error '0.0000000'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3740kb
input:
7 2 655 988
output:
3.1415941726
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:
0.4142135625
result:
ok found '0.4142136', expected '0.4142136', error '0.0000000'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3704kb
input:
1000 1000 999 1000
output:
499.8749375951
result:
ok found '499.8749376', expected '499.8749375', error '0.0000000'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3700kb
input:
1000 1000 1 1000
output:
30.6534301640
result:
ok found '30.6534302', expected '30.6534300', error '0.0000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3712kb
input:
1 1000 1 1000
output:
0.0306534316
result:
ok found '0.0306534', expected '0.0306534', error '0.0000000'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3744kb
input:
1000 1000 482 483
output:
499.7409326455
result:
ok found '499.7409326', expected '499.7409326', error '0.0000000'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
1 1000 482 483
output:
0.4997409329
result:
ok found '0.4997409', expected '0.4997409', error '0.0000000'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3728kb
input:
1 1000 1 2
output:
0.4142135625
result:
ok found '0.4142136', expected '0.4142136', error '0.0000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3708kb
input:
1000 1000 1 2
output:
414.2135627280
result:
ok found '414.2135627', expected '414.2135624', error '0.0000000'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3744kb
input:
961 1000 979 983
output:
480.0101932562
result:
ok found '480.0101933', expected '480.0101932', error '0.0000000'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3712kb
input:
997 1000 977 983
output:
497.7369880320
result:
ok found '497.7369880', expected '497.7369880', error '0.0000000'
Test #13:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
1 928 1 66
output:
0.1096005913
result:
ok found '0.1096006', expected '0.1096006', error '0.0000000'
Test #14:
score: 0
Accepted
time: 1ms
memory: 3664kb
input:
1 928 2 88
output:
0.1310058044
result:
ok found '0.1310058', expected '0.1310058', error '0.0000000'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3640kb
input:
1 928 3 74
output:
0.1676009077
result:
ok found '0.1676009', expected '0.1676009', error '0.0000000'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
1 928 3 41
output:
0.2129088559
result:
ok found '0.2129089', expected '0.2129089', error '0.0000000'
Test #17:
score: 0
Accepted
time: 1ms
memory: 3652kb
input:
1 928 1 12
output:
0.2240092379
result:
ok found '0.2240092', expected '0.2240092', error '0.0000000'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3812kb
input:
2 928 89 93
output:
0.9890096619
result:
ok found '0.9890097', expected '0.9890097', error '0.0000000'
Test #19:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
7 928 51 72
output:
3.1990098767
result:
ok found '3.1990099', expected '3.1990099', error '0.0000000'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3744kb
input:
722 547 709 752
output:
355.6863920781
result:
ok found '355.6863921', expected '355.6863918', error '0.0000000'
Test #21:
score: 0
Accepted
time: 1ms
memory: 3688kb
input:
242 742 518 920
output:
103.7429035216
result:
ok found '103.7429035', expected '103.7429035', error '0.0000000'
Test #22:
score: 0
Accepted
time: 1ms
memory: 3720kb
input:
873 701 43 201
output:
276.0875558013
result:
ok found '276.0875558', expected '276.0875558', error '0.0000000'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
268 228 527 562
output:
131.8460920711
result:
ok found '131.8460921', expected '131.8460919', error '0.0000000'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
312 558 341 839
output:
121.4683851359
result:
ok found '121.4683851', expected '121.4683851', error '0.0000000'
Test #25:
score: 0
Accepted
time: 1ms
memory: 3640kb
input:
274 85 178 364
output:
112.7564907184
result:
ok found '112.7564907', expected '112.7564907', error '0.0000000'
Test #26:
score: 0
Accepted
time: 1ms
memory: 3712kb
input:
641 539 341 977
output:
238.0544389330
result:
ok found '238.0544389', expected '238.0544387', error '0.0000000'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
245 861 438 872
output:
101.6183840465
result:
ok found '101.6183840', expected '101.6183839', error '0.0000000'
Test #28:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
640 181 156 606
output:
215.4198349735
result:
ok found '215.4198350', expected '215.4198349', error '0.0000000'