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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#353226 | #968. Extreme Wealth | HKOI0# | WA | 7ms | 4040kb | C++20 | 2.0kb | 2024-03-13 23:36:56 | 2024-03-13 23:36:57 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
typedef long double LD;
LD log_factorial(int n){
return (LD) n * logl(n) - (LD) n + logl(n * acosl(-1) * 2) / 2.0L + logl(1.0L + 1.0L / n / 12 + 1.0L / n / n / 288);
}
LD log_factorial_2(int n){
LD l = 0, r = 0;
for (int i = 1; i <= n; i++) {
LD l2 = l + logl(i);
r += logl(i) - (l2 - l);
l = l2;
}
l += r;
return l;
}
LD log_f(int n){
if (n >= 1e8) {
return log_factorial(n);
} else {
return log_factorial_2(n);
}
}
void solve(int R, int B) {
cout << fixed << setprecision(15);
// cout << log_factorial(1e8) << ' ' << log_factorial_2(1e8) << endl;
LD l = 0;
l += logl(2) * (R + B);
l -= log_f(R + B);
l += log_f(R);
l += log_f(B);
if (l > logl(1e9 + 11) || expl(l) > 1e9) {
cout << "Extreme Wealth" << endl;
} else {
cout << expl(l) << endl;
}
}
void solve_2(long long r, long long b) {
vector<vector<double>> dp(r+1,vector<double>(b+1));
for(int i=0;i<=r;i++)
for(int j=0;j<=b;j++) {
if(i==0&&j==0) dp[i][j]=1;
else if(i==0) dp[i][j]=dp[i][j-1]*2;
else if(j==0) dp[i][j]=dp[i-1][j]*2;
else {
// auto [xmin,xmax]=minmax(dp[i][j-1],dp[i-1][j]);
// double val=(xmax-xmin)/(xmax+xmin+2);
// dp[i][j]=()
double a=dp[i-1][j];
double b=dp[i][j-1];
dp[i][j]=2*a*b/(a+b);
}
}
if (isnan(dp[r][b]) || dp[r][b] >= 1e9) {
cout << "Extreme Wealth" << endl;
return;
} else {
cout << dp[r][b] << endl;
}
}
signed main() {
#ifndef LOCAL
ios::sync_with_stdio(false);
cin.tie(nullptr);
#endif
int T = 1;
int R, B; cin >> R >> B;
if (R > 5000 || B > 5000) {
solve(R, B);
} else {
solve_2(R, B);
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3816kb
input:
3 2
output:
3.2
result:
ok OK 3.20000000, real ans = 3.20000000, error = 0.00000000
Test #2:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
0 29
output:
5.36871e+08
result:
ok OK 536871000.00000000, real ans = 536870912.00000000, error = 0.00000016
Test #3:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
30 0
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1073741824.00000000
Test #4:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
37 73
output:
5028.49
result:
ok OK 5028.49000000, real ans = 5028.48885958, error = 0.00000023
Test #5:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
10000000000 10000000000
output:
177245.384076542715405
result:
ok OK 177245.38407654, real ans = 177245.38509055, error = 0.00000001
Test #6:
score: 0
Accepted
time: 0ms
memory: 4040kb
input:
10000000000 9999412550
output:
989753713.031702012871392
result:
ok OK 989753713.03170204, real ans = 989753719.13242424, error = 0.00000001
Test #7:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
10000000000 9999412400
output:
994124831.078663951833732
result:
ok OK 994124831.07866395, real ans = 994124819.34340525, error = 0.00000001
Test #8:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
10000000000 9999412200
output:
999984745.984149140364025
result:
ok OK 999984745.98414910, real ans = 999984746.74201429, error = 0.00000000
Test #9:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
10000000000 9999412199
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1000014138.02130949
Test #10:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
10000000000 9999411862
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1009971237.25187039
Test #11:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
10000000000 9999411861
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1010000939.12199187
Test #12:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
1000000000 100000000
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 2000288524.07298231
Test #13:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
999900000 999999999
output:
682861.860964044728632
result:
ok OK 682861.86096404, real ans = 682861.86152047, error = 0.00000000
Test #14:
score: 0
Accepted
time: 7ms
memory: 3748kb
input:
100000 100500
output:
1046.824207523676528
result:
ok OK 1046.82420752, real ans = 1046.82420753, error = 0.00000000
Test #15:
score: 0
Accepted
time: 1ms
memory: 3796kb
input:
1000000000000 1000000000000
output:
1772452.259920653610152
result:
ok OK 1772452.25992065, real ans = 1772453.85090552, error = 0.00000090
Test #16:
score: -100
Wrong Answer
time: 0ms
memory: 3956kb
input:
1000000000000 999995000000
output:
918168763.027417286066338
result:
wrong answer WA 918168763.02741730, real ans = 918167024.49532175, error = 0.00000189