hdu1134大数+catalan数

//hdu1134大数+catalan数
#include<iostream> 
#include<string> 
#include<iomanip> 
#include<algorithm> 
using namespace std; 

#define MAXN 9999
#define DLEN 4 

class BigNum{ 
private: 
  int a[300]; 
  int len; 
public: 
  BigNum(){len = 1;memset(a,0,sizeof(a));}      
  BigNum(const int b);              
  BigNum(const BigNum & T);              

  bool  Bigger(const BigNum &) const; 
  BigNum & operator=(const BigNum &); 
  BigNum & Add(const BigNum &); 
  BigNum & Sub(const BigNum &); 
  BigNum operator+(const BigNum &) const; 
  BigNum operator-(const BigNum &) const; 
  BigNum operator*(const BigNum &) const; 
  BigNum operator/(const int  &) const; 
  void Print(); 
}; 
BigNum::BigNum(const int b) 
{ 
  int c,d = b; 

  len = 0; 
  memset(a,0,sizeof(a)); 
  while(d > MAXN){ 
    c = d - d / (MAXN + 1) * (MAXN + 1); 
    cout<<d / (MAXN + 1) * (MAXN + 1)<<endl;
    cout<<c<<endl;
    d = d / (MAXN + 1); 
    a[len++] = c; 
  } 
  a[len++] = d; 
} 
BigNum::BigNum(const BigNum & T) : len(T.len) 
{ 
  int i; 
  memset(a,0,sizeof(a)); 
  for(i = 0 ; i < len ; i++) 
    a[i] = T.a[i]; 
} 
bool BigNum::Bigger(const BigNum & T) const 
{ 
  int ln; 
  if(len > T.len) return true; 
  else if(len == T.len){ 
    ln = len - 1; 
    while(a[ln] == T.a[ln] && ln >= 0) ln--; 
    if(ln >= 0 && a[ln] > T.a[ln]) return true; 
    else return false; 
  } 
  else return false; 
} 
BigNum & BigNum::operator=(const BigNum & n) 
{ 
  len = n.len; 
  memset(a,0,sizeof(a)); 
  for(int i = 0 ; i < len ; i++) 
    a[i] = n.a[i]; 
  return *this; 
} 
BigNum & BigNum::Add(const BigNum & T) 
{ 
  int i,big; 

  big = T.len > len ? T.len : len; 
  for(i = 0 ; i < big ; i++) 
  { 
    a[i] = a[i] + T.a[i]; 
    if(a[i] > MAXN) 
    { 
      a[i + 1]++; 
      a[i] = a[i] - MAXN - 1; 
    } 
  } 
  if(a[big] != 0) len = big + 1; 
  else len = big; 

  return *this; 
} 
BigNum & BigNum::Sub(const BigNum & T) 
{ 
  int i,j,big; 

  big = T.len > len ? T.len : len; 
  for(i = 0 ; i < big ; i++){ 
    if(a[i] < T.a[i]){ 
      j = i + 1; 
      while(a[j] == 0) j++; 
      a[j--]--; 
      while(j > i) a[j--] += MAXN; 
      a[i] = a[i] + MAXN + 1 - T.a[i]; 
    } 
    else a[i] -= T.a[i]; 
  } 
  len = big; 
  while(a[len - 1] == 0 && len > 1) len--; 
  return *this; 
} 

BigNum BigNum::operator*(const BigNum & T) const 
{ 
  BigNum ret; 
  int i,j,up; 
  int temp,temp1; 

  for(i = 0 ; i < len ; i++){ 
    up = 0; 
    for(j = 0 ; j < T.len ; j++){ 
      temp = a[i] * T.a[j] + ret.a[i + j] + up; 
      if(temp > MAXN){ 
        temp1 = temp - temp / (MAXN + 1) * (MAXN + 1); 
        up = temp / (MAXN + 1); 
        ret.a[i + j] = temp1; 
      } 
      else { 
        up = 0; 
        ret.a[i + j] = temp; 
      } 
    } 
    if(up != 0) 
      ret.a[i + j] = up; 
  } 
  ret.len = i + j; 
  while(ret.a[ret.len - 1] == 0 && ret.len > 1) ret.len--; 
  return ret; 
} 
BigNum BigNum::operator/(const int & b) const 
{ 
  BigNum ret; 
  int i,down = 0; 

  for(i = len - 1 ; i >= 0 ; i--){ 
    ret.a[i] = (a[i] + down * (MAXN + 1)) / b; 
    down = a[i] + down * (MAXN + 1) - ret.a[i] * b; 
  } 
  ret.len = len; 
  while(ret.a[ret.len - 1] == 0) ret.len--; 
  return ret; 
} 
void BigNum::Print() 
{ 
  int i; 

  cout << a[len - 1]; 
  for(i = len - 2 ; i >= 0 ; i--){ 
    cout.width(DLEN); 
    cout.fill('0'); 
    cout << a[i]; 
  } 
  cout << endl; 
}
int main()
{
    BigNum x[110];
    long n,i;
    x[1]=1;
    x[2]=2;
    x[3]=5;
    for(i=3;i<100;i++)
    {
        x[i+1]=x[i]*(4*i+2)/(i+2);
    }
    while(cin>>n&&n!=-1)
    {
        x[n].Print();
    }
    return 0;
}
posted @ 2011-12-29 19:02 windmissing 阅读(133) 评论(0) 编辑收藏举报