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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#353264 | #968. Extreme Wealth | HKOI0 | AC ✓ | 8ms | 4036kb | C++20 | 2.7kb | 2024-03-14 00:08:50 | 2024-03-14 00:08:51 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
typedef long double LD;
LD log_rem(int n) {
return - (LD) n + logl(n * acosl(-1) * 2) / 2.0L + logl(1.0L + 1.0L / n / 12 + 1.0L / n / n / 288);
}
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);
}
}
LD self_exp(LD x){
LD res = 0;
LD v = 1;
for (int k = 0; k <= 100000; k++) {
res += v;
v = v * x / (k + 1);
}
return res;
}
void solve(int R, int B) {
cout << fixed << setprecision(15);
// cout << log_factorial(1e8) << ' ' << log_factorial_2(1e8) << endl;
LD l = 0;
if (R >= 1e7 && B >= 1e7) {
l -= log_rem(R + B);
l += log_rem(R);
l += log_rem(B);
l += R * logl(R * 2.0L / (R + B));
l += B * logl(B * 2.0L / (R + B));
if (l > logl(1e9 + 11) || self_exp(l) > 1e9) {
cout << "Extreme Wealth" << endl;
} else {
cout << self_exp(l) << endl;
}
return;
}
l += log_f(R + B);
l -= log_f(R);
l -= log_f(B);
l = logl(2) * (R + B) - l;
if (l > logl(1e9 + 11) || self_exp(l) > 1e9) {
cout << "Extreme Wealth" << endl;
} else {
cout << self_exp(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 (true) {
solve(R, B);
} else {
solve_2(R, B);
}
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3900kb
input:
3 2
output:
3.200000000000000
result:
ok OK 3.20000000, real ans = 3.20000000, error = 0.00000000
Test #2:
score: 0
Accepted
time: 2ms
memory: 3896kb
input:
0 29
output:
536870912.000000000291038
result:
ok OK 536870912.00000000, real ans = 536870912.00000000, error = 0.00000000
Test #3:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
30 0
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1073741824.00000000
Test #4:
score: 0
Accepted
time: 2ms
memory: 3796kb
input:
37 73
output:
5028.488859583218806
result:
ok OK 5028.48885958, real ans = 5028.48885958, error = 0.00000000
Test #5:
score: 0
Accepted
time: 2ms
memory: 3748kb
input:
10000000000 10000000000
output:
177245.385090551602744
result:
ok OK 177245.38509055, real ans = 177245.38509055, error = 0.00000000
Test #6:
score: 0
Accepted
time: 2ms
memory: 3816kb
input:
10000000000 9999412550
output:
989753719.049911452224478
result:
ok OK 989753719.04991150, real ans = 989753719.13242424, error = 0.00000000
Test #7:
score: 0
Accepted
time: 2ms
memory: 3924kb
input:
10000000000 9999412400
output:
994124819.343119634373579
result:
ok OK 994124819.34311962, real ans = 994124819.34340525, error = 0.00000000
Test #8:
score: 0
Accepted
time: 1ms
memory: 3784kb
input:
10000000000 9999412200
output:
999984747.468620802625082
result:
ok OK 999984747.46862078, real ans = 999984746.74201429, error = 0.00000000
Test #9:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
10000000000 9999412199
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1000014138.02130949
Test #10:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
10000000000 9999411862
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1009971237.25187039
Test #11:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
10000000000 9999411861
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1010000939.12199187
Test #12:
score: 0
Accepted
time: 1ms
memory: 3604kb
input:
1000000000 100000000
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 2000288524.07298231
Test #13:
score: 0
Accepted
time: 2ms
memory: 3900kb
input:
999900000 999999999
output:
682861.861643148752819
result:
ok OK 682861.86164315, real ans = 682861.86152047, error = 0.00000000
Test #14:
score: 0
Accepted
time: 8ms
memory: 3796kb
input:
100000 100500
output:
1046.824207523676527
result:
ok OK 1046.82420752, real ans = 1046.82420753, error = 0.00000000
Test #15:
score: 0
Accepted
time: 2ms
memory: 3812kb
input:
1000000000000 1000000000000
output:
1772453.850905516028320
result:
ok OK 1772453.85090552, real ans = 1772453.85090552, error = 0.00000000
Test #16:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
1000000000000 999995000000
output:
918166982.255485485133249
result:
ok OK 918166982.25548553, real ans = 918167024.49532175, error = 0.00000005
Test #17:
score: 0
Accepted
time: 2ms
memory: 3796kb
input:
1000000000000 999994970000
output:
989900473.983575689431746
result:
ok OK 989900473.98357570, real ans = 989900658.76037264, error = 0.00000019
Test #18:
score: 0
Accepted
time: 2ms
memory: 3808kb
input:
1000000000000 999994969900
output:
990149601.088007989979815
result:
ok OK 990149601.08800805, real ans = 990149653.47589362, error = 0.00000005
Test #19:
score: 0
Accepted
time: 2ms
memory: 3756kb
input:
1000000000000 999994965966
output:
999998916.731033743300941
result:
ok OK 999998916.73103380, real ans = 999998930.01106715, error = 0.00000001
Test #20:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
1000000000000 999994965965
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1000001447.03807712
Test #21:
score: 0
Accepted
time: 1ms
memory: 3556kb
input:
1000000000000 999994962200
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1009526689.33672678
Test #22:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
1000000000000 999994962000
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1010035408.79225361
Test #23:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
10000000000000 10000000000000
output:
5604991.216397928703827
result:
ok OK 5604991.21639793, real ans = 5604991.21639793, error = 0.00000000
Test #24:
score: 0
Accepted
time: 2ms
memory: 3804kb
input:
10000000000000 9999985614000
output:
989882911.580443232611287
result:
ok OK 989882911.58044326, real ans = 989882007.19958651, error = 0.00000091
Test #25:
score: 0
Accepted
time: 2ms
memory: 3800kb
input:
10000000000000 9999985613835
output:
989999538.168199414911214
result:
ok OK 989999538.16819942, real ans = 989999498.61902094, error = 0.00000004
Test #26:
score: 0
Accepted
time: 2ms
memory: 3860kb
input:
10000000000000 9999985613834
output:
989999642.296686753863469
result:
ok OK 989999642.29668677, real ans = 990000210.73484683, error = 0.00000057
Test #27:
score: 0
Accepted
time: 2ms
memory: 3860kb
input:
10000000000000 9999985599900
output:
999978534.913756488589570
result:
ok OK 999978534.91375649, real ans = 999977583.49870884, error = 0.00000095
Test #28:
score: 0
Accepted
time: 1ms
memory: 3640kb
input:
10000000000000 9999985586056
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1009999801.48704243
Test #29:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
10000000000000 9999985586055
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1010000529.39213884
Test #30:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
10000000000000 9999985486055
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 1085749634.67051625
Test #31:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
10000000000000 9999905586055
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 2000000758.78793645
Test #32:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
10000000000000 1000000000000
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 2000003461.21803880
Test #33:
score: 0
Accepted
time: 2ms
memory: 3864kb
input:
0 0
output:
1.000000000000000
result:
ok OK 1.00000000, real ans = 1.00000000, error = 0.00000000
Test #34:
score: 0
Accepted
time: 2ms
memory: 4036kb
input:
0 1
output:
2.000000000000000
result:
ok OK 2.00000000, real ans = 2.00000000, error = 0.00000000
Test #35:
score: 0
Accepted
time: 2ms
memory: 3804kb
input:
1 1
output:
2.000000000000000
result:
ok OK 2.00000000, real ans = 2.00000000, error = 0.00000000
Test #36:
score: 0
Accepted
time: 2ms
memory: 3788kb
input:
0 2
output:
4.000000000000000
result:
ok OK 4.00000000, real ans = 4.00000000, error = 0.00000000
Test #37:
score: 0
Accepted
time: 1ms
memory: 3816kb
input:
1 2
output:
2.666666666666667
result:
ok OK 2.66666667, real ans = 2.66666667, error = 0.00000000
Test #38:
score: 0
Accepted
time: 2ms
memory: 3900kb
input:
2 2
output:
2.666666666666667
result:
ok OK 2.66666667, real ans = 2.66666667, error = 0.00000000
Test #39:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
10000000000000 0
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 2147483648.00000000
Test #40:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
10000000000000 1
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 3714566310.05405521
Test #41:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
2 10000000000000
output:
Extreme Wealth
result:
ok OK Extreme Wealth, real ans = 2681735677.50243759