QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#96433 | #5151. Bottle Flip | IsaacMoris# | AC ✓ | 2ms | 3776kb | C++14 | 1022b | 2023-04-13 21:26:23 | 2023-04-13 21:26:55 |
Judging History
answer
#include<iostream>
#include <bits/stdc++.h>
# define ld long double
#define ll long long
#define IO ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
using namespace std;
const int N = 4e5 + 5, mod = 998244353, M = 17;
// mass = density * volume
// m1 = ans * w
// m2 = (h - ans) * a
// CM = ( ans / 2 * ans * w + (h + ans) / 2 * (h-ans) * a) / ()
int h, r, a, w;
ld solve(ld ans) {
ld m1 = ans * w;
ld m2 = (h - ans) * a;
ld cm1 = ans / 2;
ld cm2 = (ans + h) / 2;
return (m1 * cm1 + m2 * cm2) / (m1 + m2);
}
void doWork() {
cin >> h >> r >> a >> w;
ld low = 0, high = h;
for (int i = 0; i < 100; i++) {
ld ans1 = low + (high - low) / 3;
ld ans2 = high - (high - low) / 3;
if (solve(ans1) < solve(ans2))high = ans2;
else low = ans1;
}
cout << fixed << low;
}
int main() {
IO
int t = 1;
// cin >> t;
for (int i = 1; i <= t; i++) {
doWork();
}
}
// n * (n+1) / 2
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 3632kb
input:
22 4 1 4
output:
7.333333
result:
ok found '7.3333330', expected '7.3333333', error '0.0000000'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3752kb
input:
7 2 655 988
output:
3.141594
result:
ok found '3.1415940', expected '3.1415942', error '0.0000001'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3708kb
input:
1 1 1 2
output:
0.414214
result:
ok found '0.4142140', expected '0.4142136', error '0.0000004'
Test #4:
score: 0
Accepted
time: 2ms
memory: 3632kb
input:
1000 1000 999 1000
output:
499.874945
result:
ok found '499.8749450', expected '499.8749375', error '0.0000000'
Test #5:
score: 0
Accepted
time: 2ms
memory: 3624kb
input:
1000 1000 1 1000
output:
30.653430
result:
ok found '30.6534300', expected '30.6534300', error '0.0000000'
Test #6:
score: 0
Accepted
time: 2ms
memory: 3628kb
input:
1 1000 1 1000
output:
0.030653
result:
ok found '0.0306530', expected '0.0306534', error '0.0000004'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3632kb
input:
1000 1000 482 483
output:
499.740934
result:
ok found '499.7409340', expected '499.7409326', error '0.0000000'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3636kb
input:
1 1000 482 483
output:
0.499741
result:
ok found '0.4997410', expected '0.4997409', error '0.0000001'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
1 1000 1 2
output:
0.414214
result:
ok found '0.4142140', expected '0.4142136', error '0.0000004'
Test #10:
score: 0
Accepted
time: 2ms
memory: 3640kb
input:
1000 1000 1 2
output:
414.213563
result:
ok found '414.2135630', expected '414.2135624', error '0.0000000'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
961 1000 979 983
output:
480.010193
result:
ok found '480.0101930', expected '480.0101932', error '0.0000000'
Test #12:
score: 0
Accepted
time: 2ms
memory: 3752kb
input:
997 1000 977 983
output:
497.736990
result:
ok found '497.7369900', expected '497.7369880', error '0.0000000'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
1 928 1 66
output:
0.109601
result:
ok found '0.1096010', expected '0.1096006', error '0.0000004'
Test #14:
score: 0
Accepted
time: 2ms
memory: 3620kb
input:
1 928 2 88
output:
0.131006
result:
ok found '0.1310060', expected '0.1310058', error '0.0000002'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
1 928 3 74
output:
0.167601
result:
ok found '0.1676010', expected '0.1676009', error '0.0000001'
Test #16:
score: 0
Accepted
time: 2ms
memory: 3644kb
input:
1 928 3 41
output:
0.212909
result:
ok found '0.2129090', expected '0.2129089', error '0.0000001'
Test #17:
score: 0
Accepted
time: 2ms
memory: 3756kb
input:
1 928 1 12
output:
0.224009
result:
ok found '0.2240090', expected '0.2240092', error '0.0000002'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3704kb
input:
2 928 89 93
output:
0.989010
result:
ok found '0.9890100', expected '0.9890097', error '0.0000003'
Test #19:
score: 0
Accepted
time: 2ms
memory: 3640kb
input:
7 928 51 72
output:
3.199010
result:
ok found '3.1990100', expected '3.1990099', error '0.0000000'
Test #20:
score: 0
Accepted
time: 2ms
memory: 3636kb
input:
722 547 709 752
output:
355.686392
result:
ok found '355.6863920', expected '355.6863918', error '0.0000000'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
242 742 518 920
output:
103.742903
result:
ok found '103.7429030', expected '103.7429035', error '0.0000000'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
873 701 43 201
output:
276.087556
result:
ok found '276.0875560', expected '276.0875558', error '0.0000000'
Test #23:
score: 0
Accepted
time: 2ms
memory: 3680kb
input:
268 228 527 562
output:
131.846092
result:
ok found '131.8460920', expected '131.8460919', error '0.0000000'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3640kb
input:
312 558 341 839
output:
121.468385
result:
ok found '121.4683850', expected '121.4683851', error '0.0000000'
Test #25:
score: 0
Accepted
time: 2ms
memory: 3636kb
input:
274 85 178 364
output:
112.756491
result:
ok found '112.7564910', expected '112.7564907', error '0.0000000'
Test #26:
score: 0
Accepted
time: 2ms
memory: 3624kb
input:
641 539 341 977
output:
238.054439
result:
ok found '238.0544390', expected '238.0544387', error '0.0000000'
Test #27:
score: 0
Accepted
time: 2ms
memory: 3632kb
input:
245 861 438 872
output:
101.618384
result:
ok found '101.6183840', expected '101.6183839', error '0.0000000'
Test #28:
score: 0
Accepted
time: 2ms
memory: 3776kb
input:
640 181 156 606
output:
215.419835
result:
ok found '215.4198350', expected '215.4198349', error '0.0000000'