CodeVs 3150 (大数 + 递推)

时间:2024-01-09 22:29:26
#include<iostream>
#include<cstdio>
#include<cstring>
#include<string>
#include<cmath>
#include<algorithm>
#include<map>
#include<set>
#include<vector>
#include<queue>
#include<stack>
//#include<bits/std c++.h>
using namespace std;
typedef long long LL;
typedef unsigned long long ULL;
const LL MOD = 1e7 + 7;
const LL maxn = 1e6 + 131;
const LL Bits = 1e10;
const double Pi = acos(-1.0);
struct BigInt
{
vector<LL> val;
void Set(LL n) { val.clear(); val.push_back(n); }
void operator += (const BigInt a)
{
int i;
for(i = 0; i < val.size() && i < a.val.size() ; ++i)
val[i] = val[i] + a.val[i];
if(i < a.val.size()) for(; i < a.val.size(); ++i) val.push_back(a.val[i]);
int len = val.size();
for(i = 0; i < len; ++i)
{
if(val[i] >= Bits)
{
if(i == len-1) val.push_back(val[i]/Bits), val[i] %= Bits;
else {
val[i+1] += (val[i] / Bits);
val[i] %= Bits;
}
}
}
}
void operator *= (const LL k)
{
int i;
for(i = 0; i < val.size(); ++i) val[i] *= k;
i = 0;
while(i != val.size())
{
if(val[i] >= Bits)
{
if(i == val.size() -1)
{
val.push_back(val[i] / Bits);
val[i] %= Bits;
}
else
{
val[i+1] += (val[i] / Bits);
val[i] %= Bits;
}
}
++i;
}
}
void operator /= (const LL k)
{
for(int i = val.size() - 1; i >= 1; --i)
{
val[i-1] += (val[i] % k)*Bits;
val[i] /= k;
}
val[0] /= k;
int i = val.size() - 1;
while(val.size() > 1)
{
if(val[i] == 0) val.erase(--val.end());
else break;
i--;
}
}
void Show()
{
cout << val[val.size() - 1];
for(int i = val.size() - 2; i >= 0 ; --i)
{
LL k = Bits / 10;
while( k > 1 )
{
if(val[i] < k) cout << "0";
k /= 10;
}
cout << val[i];
}
cout << endl;
}
}; int main()
{
BigInt A, B;
LL n;
/*A.Set(1), B.Set(Bits - 1);
A += B;
A.Show();*/
//cout << Pi << endl;
while(cin >> n){
if(n < 4) cout << "1\n";
else {
n -= 4;
A.Set(1), B.Set(1);
LL i = 1, j = (n + Pi), Last;
while(i <= (LL)((n + Pi)/ Pi))
{
Last = j;
j = (n + Pi - i*Pi);
for(LL k = Last - 1; k >= j + 1; k--)
{
B *= (k+1);
B /= (i + k); }
B *= (j + 1);
B /= i;
i ++;
A += B;
}
A.Show();
}
}
return 0;
}