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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#773096 | #8037. Gambler's Ruin | Andeviking | WA | 1125ms | 111824kb | C++20 | 3.0kb | 2024-11-23 00:51:54 | 2024-11-23 00:51:55 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define range(x) (x).begin(), (x).end()
vector<long double> p;
vector<int> c;
vector<long double> ck, rck;
vector<ll> sum, rsum;
int n;
const long double EPS = 1e-12L;
long double f(long double x, long double y)
{
ll sx = 0, sy = 0;
int pos = upper_bound(range(ck), x) - ck.begin();
if (pos - 1 >= int(sum.size()))
sx = sum.back();
else if (pos)
sx = sum[pos - 1];
// cout << pos << '\n';
// cout << rck.size() << '\n';
pos = upper_bound(range(rck) - pos, y) - rck.begin();
if (pos - 1 >= int(rsum.size()))
sy = rsum.back();
else if (pos)
sy = rsum[pos - 1];
// cout << pos << '\n';
// cout << sx << ' ' << sy << ' ' << x << ' ' << y << ' ' << sx + sy - max(sx * x, sy * y) << '\n';
// if (sx + sy - max(sx * x, sy * y) > 15)
// cout << x << ' ' << y << ' ' << sx << ' ' << sy << '\n';
return sx + sy - max(sx * x, sy * y);
}
long double get(long double x)
{
long double l = 0, r = 1000010;
long double lans = f(x, l), rans = f(x, r);
long double ans = max(lans, rans);
for (int _ = 0; _ < 3000; ++_) {
long double lmid = l + (r - l) / 3;
long double rmid = r - (r - l) / 3;
lans = f(x, lmid), rans = f(x, rmid);
ans = max(lans, rans);
if (lans - rans >= EPS)
r = rmid;
else
l = lmid;
}
// cout << x << ' ' << l << ' ' << ans << '\n';
return ans;
}
void solve()
{
cin >> n;
p.resize(n + 5);
c.resize(n + 5);
for (int i = 1; i <= n; ++i)
cin >> p[i] >> c[i];
vector<pair<long double, int>> ckk;
for (int i = 1; i <= n; ++i)
ckk.emplace_back(p[i], c[i]);
sort(range(ckk));
for (const auto &[a, b] : ckk) {
rck.push_back(1.L / (1 - a));
rsum.push_back(b);
if (rsum.size() > 1)
rsum.back() += rsum.end()[-2];
}
reverse(range(ckk));
for (const auto &[a, b] : ckk) {
ck.push_back(1.L / a);
sum.push_back(b);
if (sum.size() > 1)
sum.back() += sum.end()[-2];
}
// for (const auto &c : ck)
// cout << c << ' ';
// cout << '\n';
long double l = 0, r = 1000010;
long double lans = get(l), rans = get(r);
long double ans = max(lans, rans);
for (int _ = 0; _ < 1000; ++_) {
long double lmid = l + (r - l) / 3;
long double rmid = r - (r - l) / 3;
lans = get(lmid), rans = get(rmid);
ans = max(lans, rans);
if (lans - rans >= EPS)
r = rmid;
else
l = lmid;
}
// cout << l << '\n';
// cout << f(1 / .6L, 1.9) << '\n';
// cout << get(1 / .6L) << '\n';
cout << fixed << setprecision(10) << ans << '\n';
// cout << f(0, 0) << '\n';
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int T = 1;
while (T--)
solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 207ms
memory: 3816kb
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: 221ms
memory: 3948kb
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: 190ms
memory: 4060kb
input:
1 0 1
output:
-0.0000000000
result:
ok found '-0.0000000', expected '0.0000000', error '0.0000000'
Test #4:
score: 0
Accepted
time: 176ms
memory: 3992kb
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: 182ms
memory: 4044kb
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: 207ms
memory: 3888kb
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: 205ms
memory: 3952kb
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: 201ms
memory: 3948kb
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: 205ms
memory: 3768kb
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: 205ms
memory: 3924kb
input:
2 0 1000000000 0.000001 1
output:
1.0000000000
result:
ok found '1.0000000', expected '1.0000000', error '0.0000000'
Test #11:
score: -100
Wrong Answer
time: 1125ms
memory: 111824kb
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:
85717936612193.0287170410
result:
wrong answer 1st numbers differ - expected: '85718080941203.0156250', found: '85717936612193.0312500', error = '0.0000017'