QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#73059 | #5151. Bottle Flip | Sorting# | AC ✓ | 3ms | 3708kb | C++ | 716b | 2023-01-21 19:25:47 | 2023-01-21 19:25:49 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
long double h, r, da, dw;
long double calc(long double a){
long double up = a * a * dw + (h * h - a * a) * da;
long double down = a * dw + (h - a) * da;
return up / down;
}
int main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> h >> r >> da >> dw;
long double l2, r2;
l2 = 0, r2 = h;
long double EPS = 1e-9;
while(r2 - l2 > EPS){
long double mid1 = (2 * l2 + r2) / 3;
long double mid2 = (l2 + 2 * r2) / 3;
if(calc(mid1) < calc(mid2))
r2 = mid2;
else
l2 = mid1;
}
cout << fixed << setprecision(9) << l2 << "\n";
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3704kb
input:
22 4 1 4
output:
7.333333332
result:
ok found '7.3333333', expected '7.3333333', error '0.0000000'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3600kb
input:
7 2 655 988
output:
3.141594174
result:
ok found '3.1415942', expected '3.1415942', error '0.0000000'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3528kb
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: 2ms
memory: 3568kb
input:
1000 1000 999 1000
output:
499.874940036
result:
ok found '499.8749400', expected '499.8749375', error '0.0000000'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
1000 1000 1 1000
output:
30.653430036
result:
ok found '30.6534300', expected '30.6534300', error '0.0000000'
Test #6:
score: 0
Accepted
time: 2ms
memory: 3536kb
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: 0ms
memory: 3564kb
input:
1000 1000 482 483
output:
499.740935886
result:
ok found '499.7409359', expected '499.7409326', error '0.0000000'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
1 1000 482 483
output:
0.499740934
result:
ok found '0.4997409', expected '0.4997409', error '0.0000000'
Test #9:
score: 0
Accepted
time: 2ms
memory: 3564kb
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: 3600kb
input:
1000 1000 1 2
output:
414.213562387
result:
ok found '414.2135624', expected '414.2135624', error '0.0000000'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
961 1000 979 983
output:
480.010195061
result:
ok found '480.0101951', expected '480.0101932', error '0.0000000'
Test #12:
score: 0
Accepted
time: 2ms
memory: 3620kb
input:
997 1000 977 983
output:
497.736988592
result:
ok found '497.7369886', expected '497.7369880', error '0.0000000'
Test #13:
score: 0
Accepted
time: 2ms
memory: 3592kb
input:
1 928 1 66
output:
0.109600590
result:
ok found '0.1096006', expected '0.1096006', error '0.0000000'
Test #14:
score: 0
Accepted
time: 2ms
memory: 3568kb
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: 3564kb
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: 2ms
memory: 3648kb
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: 2ms
memory: 3588kb
input:
1 928 1 12
output:
0.224009237
result:
ok found '0.2240092', expected '0.2240092', error '0.0000000'
Test #18:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
2 928 89 93
output:
0.989009663
result:
ok found '0.9890097', expected '0.9890097', error '0.0000000'
Test #19:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
7 928 51 72
output:
3.199009879
result:
ok found '3.1990099', expected '3.1990099', error '0.0000000'
Test #20:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
722 547 709 752
output:
355.686392319
result:
ok found '355.6863923', expected '355.6863918', error '0.0000000'
Test #21:
score: 0
Accepted
time: 2ms
memory: 3644kb
input:
242 742 518 920
output:
103.742903463
result:
ok found '103.7429035', expected '103.7429035', error '0.0000000'
Test #22:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
873 701 43 201
output:
276.087555861
result:
ok found '276.0875559', expected '276.0875558', error '0.0000000'
Test #23:
score: 0
Accepted
time: 2ms
memory: 3640kb
input:
268 228 527 562
output:
131.846091915
result:
ok found '131.8460919', expected '131.8460919', error '0.0000000'
Test #24:
score: 0
Accepted
time: 2ms
memory: 3604kb
input:
312 558 341 839
output:
121.468385102
result:
ok found '121.4683851', expected '121.4683851', error '0.0000000'
Test #25:
score: 0
Accepted
time: 2ms
memory: 3640kb
input:
274 85 178 364
output:
112.756490744
result:
ok found '112.7564907', expected '112.7564907', error '0.0000000'
Test #26:
score: 0
Accepted
time: 3ms
memory: 3708kb
input:
641 539 341 977
output:
238.054438834
result:
ok found '238.0544388', expected '238.0544387', error '0.0000000'
Test #27:
score: 0
Accepted
time: 2ms
memory: 3584kb
input:
245 861 438 872
output:
101.618383950
result:
ok found '101.6183839', expected '101.6183839', error '0.0000000'
Test #28:
score: 0
Accepted
time: 2ms
memory: 3704kb
input:
640 181 156 606
output:
215.419834944
result:
ok found '215.4198349', expected '215.4198349', error '0.0000000'