QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#628988 | #8037. Gambler's Ruin | lonelywolf | RE | 487ms | 45164kb | C++20 | 1.7kb | 2024-10-10 23:49:29 | 2024-10-10 23:49:32 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
using db = double;
constexpr db eps = 1e-9;
int sgn(db x) {
if (x > eps) {
return 1;
} else if (x < -eps) {
return -1;
}
return 0;
}
int cmp(db x, db y) {
return sgn(x - y);
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<db> p_(n + 1), c_(n + 1);
for (int i = 1; i <= n; i++) {
cin >> p_[i] >> c_[i];
}
vector<int> ord(n + 1);
iota(ord.begin(), ord.end(), 0);
sort(ord.begin() + 1, ord.end(), [&](int i, int j) {
return p_[i] > p_[j];
});
vector<db> p(1, -1);
vector<int> c(1);
int s1 = 0, s2 = 0;
for (int i = 1; i <= n; i++) {
if (cmp(p_[ord[i]], 0) == 0) {
s1 += c_[ord[i]];
} else if (cmp(p_[ord[i]], 1) == 0) {
s2 += c_[ord[i]];
} else if (cmp(p.back(), p_[ord[i]]) == 0) {
c[c.size() - 1] += c_[ord[i]];
} else {
p.push_back(p_[ord[i]]);
c.push_back(c_[ord[i]]);
}
}
vector<int> suf(n + 2);
for (int i = n; i >= 1; i--) {
suf[i] = suf[i + 1] + c[i];
}
n = p.size() - 1;
int sx = s2;
db ans = min(s1, s2);
for (int i = 1; i <= n; i++) {
db x = 1.0 / p[i];
sx += c[i];
auto calc = [&](int m) {
db y = 1.0 / (1 - p[m]);
db sy = s1 + suf[m];
return 1.0 * sx + 1.0 * sy - max(x * sx, y * sy);
};
int l = i, r = n + 1;
while (r - l > 5) {
int lm = (2 * l + r) / 3, rm = (l + 2 * r) / 3;
if (calc(lm) < calc(rm)) {
l = lm;
} else {
r = rm;
}
}
for (int t = l; t <= r; t++) {
ans = max(ans, calc(t));
}
}
cout << fixed << setprecision(10) << ans << "\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3876kb
input:
2 1 15 0 10
output:
10.0000000000
result:
ok found '10.0000000', expected '10.0000000', error '0.0000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 4048kb
input:
3 0.4 100 0.5 100 0.6 100
output:
33.3333333333
result:
ok found '33.3333333', expected '33.3333333', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
1 0 1
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
2 1 0 1 100
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
1 0.5 100
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3948kb
input:
3 0.4 100 0.6 100 0.6 100
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #7:
score: 0
Accepted
time: 0ms
memory: 4036kb
input:
3 0.2 100 0.2 100 0.8 100
output:
50.0000000000
result:
ok found '50.0000000', expected '50.0000000', error '0.0000000'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3932kb
input:
2 0.999999 1000000 0.999998 2
output:
0.9999990000
result:
ok found '0.9999990', expected '0.9999990', error '0.0000000'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3976kb
input:
2 0 100000 0.000001 1
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3820kb
input:
2 0 1000000000 0.000001 1
output:
1.0000000000
result:
ok found '1.0000000', expected '1.0000000', error '0.0000000'
Test #11:
score: 0
Accepted
time: 487ms
memory: 45164kb
input:
1000000 0.375733 595197307 0.505261 377150668 0.517039 15795246 0.448099 228176467 0.529380 871983979 0.905546 876268308 0.095891 272104456 0.500302 916153337 0.128705 355768079 0.070600 78747362 0.444107 466118868 0.194987 298494965 0.462293 593292779 0.287909 838058266 0.237226 934603199 0.391909 ...
output:
85718080941203.0625000000
result:
ok found '85718080941203.0625000', expected '85718080941203.0156250', error '0.0000000'
Test #12:
score: -100
Runtime Error
input:
1000000 0.353000 999523129 0.526000 14560746 0.978000 319977952 0.324000 353889639 0.535500 497827437 0.153000 660990580 0.482000 391332319 0.050000 118814686 0.862500 774878817 0.417500 124874110 0.172500 789760737 0.058000 236910286 0.596000 585483625 0.176500 388072811 0.838000 806903092 0.613000...