注意：必需先定义，再使用。
#include <iostream>
#include <cstring>
using namespace std;
#define DIGIT 4 //ËÄλ¸ô¿ª,¼´Íò½øÖÆ
#define DEPTH 10000 //Íò½øÖÆ
#define MAX 1000
typedef int bignum_t[MAX+1];
/************************************************************************/
/* ¶ÁÈ¡²Ù×÷Êý£¬¶Ô²Ù×÷Êý½øÐд¦Àí´æ´¢ÔÚÊý×éÀï */
/************************************************************************/
int read(bignum_t a,istream&is=cin)
{
char buf[MAX*DIGIT+1],ch ;
int i,j ;
memset((void*)a,0,sizeof(bignum_t));
if(!(is>>buf))return 0 ;
for(a[0]=strlen(buf),i=a[0]/2-1;i>=0;i--)
ch=buf[i],buf[i]=buf[a[0]-1-i],buf[a[0]-1-i]=ch ;
for(a[0]=(a[0]+DIGIT-1)/DIGIT,j=strlen(buf);j<a[0]*DIGIT;buf[j++]='0');
for(i=1;i<=a[0];i++)
for(a[i]=0,j=0;j<DIGIT;j++)
a[i]=a[i]*10+buf[i*DIGIT-1-j]-'0' ;
for(;!a[a[0]]&&a[0]>1;a[0]--);
return 1 ;
}
void write(const bignum_t a,ostream&os=cout)
{
int i,j ;
for(os<<a[i=a[0]],i--;i;i--)
for(j=DEPTH/10;j;j/=10)
os<<a[i]/j%10 ;
}
int comp(const bignum_t a,const bignum_t b)
{
int i ;
if(a[0]!=b[0])
return a[0]-b[0];
for(i=a[0];i;i--)
if(a[i]!=b[i])
return a[i]-b[i];
return 0 ;
}
int comp(const bignum_t a,const int b)
{
int c[12]=
{
1
}
;
for(c[1]=b;c[c[0]]>=DEPTH;c[c[0]+1]=c[c[0]]/DEPTH,c[c[0]]%=DEPTH,c[0]++);
return comp(a,c);
}
int comp(const bignum_t a,const int c,const int d,const bignum_t b)
{
int i,t=0,O=-DEPTH*2 ;
if(b[0]-a[0]<d&&c)
return 1 ;
for(i=b[0];i>d;i--)
{
t=t*DEPTH+a[i-d]*c-b[i];
if(t>0)return 1 ;
if(t<O)return 0 ;
}
for(i=d;i;i--)
{
t=t*DEPTH-b[i];
if(t>0)return 1 ;
if(t<O)return 0 ;
}
return t>0 ;
}
/************************************************************************/
/* ´óÊýÓë´óÊýÏà¼Ó */
/************************************************************************/
void add(bignum_t a,const bignum_t b)
{
int i ;
for(i=1;i<=b[0];i++)
if((a[i]+=b[i])>=DEPTH)
a[i]-=DEPTH,a[i+1]++;
if(b[0]>=a[0])
a[0]=b[0];
else
for(;a[i]>=DEPTH&&i<a[0];a[i]-=DEPTH,i++,a[i]++);
a[0]+=(a[a[0]+1]>0);
}
/************************************************************************/
/* ´óÊýÓëСÊýÏà¼Ó */
/************************************************************************/
void add(bignum_t a,const int b)
{
int i=1 ;
for(a[1]+=b;a[i]>=DEPTH&&i<a[0];a[i+1]+=a[i]/DEPTH,a[i]%=DEPTH,i++);
for(;a[a[0]]>=DEPTH;a[a[0]+1]=a[a[0]]/DEPTH,a[a[0]]%=DEPTH,a[0]++);
}
/************************************************************************/
/* ´óÊýÏà¼õ(±»¼õÊý>=¼õÊý) */
/************************************************************************/
void sub(bignum_t a,const bignum_t b)
{
int i ;
for(i=1;i<=b[0];i++)
if((a[i]-=b[i])<0)
a[i+1]--,a[i]+=DEPTH ;
for(;a[i]<0;a[i]+=DEPTH,i++,a[i]--);
for(;!a[a[0]]&&a[0]>1;a[0]--);
}
/************************************************************************/
/* ´óÊý¼õȥСÊý(±»¼õÊý>=¼õÊý) */
/************************************************************************/
void sub(bignum_t a,const int b)
{
int i=1 ;
for(a[1]-=b;a[i]<0;a[i+1]+=(a[i]-DEPTH+1)/DEPTH,a[i]-=(a[i]-DEPTH+1)/DEPTH*DEPTH,i++);
for(;!a[a[0]]&&a[0]>1;a[0]--);
}
void sub(bignum_t a,const bignum_t b,const int c,const int d)
{
int i,O=b[0]+d ;
for(i=1+d;i<=O;i++)
if((a[i]-=b[i-d]*c)<0)
a[i+1]+=(a[i]-DEPTH+1)/DEPTH,a[i]-=(a[i]-DEPTH+1)/DEPTH*DEPTH ;
for(;a[i]<0;a[i+1]+=(a[i]-DEPTH+1)/DEPTH,a[i]-=(a[i]-DEPTH+1)/DEPTH*DEPTH,i++);
for(;!a[a[0]]&&a[0]>1;a[0]--);
}
/************************************************************************/
/* ´óÊýÏà³Ë£¬¶ÁÈë±»³ËÊýa£¬³ËÊýb£¬½á¹û±£´æÔÚc[] */
/************************************************************************/
void mul(bignum_t c,const bignum_t a,const bignum_t b)
{
int i,j ;
memset((void*)c,0,sizeof(bignum_t));
for(c[0]=a[0]+b[0]-1,i=1;i<=a[0];i++)
for(j=1;j<=b[0];j++)
if((c[i+j-1]+=a[i]*b[j])>=DEPTH)
c[i+j]+=c[i+j-1]/DEPTH,c[i+j-1]%=DEPTH ;
for(c[0]+=(c[c[0]+1]>0);!c[c[0]]&&c[0]>1;c[0]--);
}
/************************************************************************/
/* ´óÊý³ËÒÔСÊý£¬¶ÁÈë±»³ËÊýa£¬³ËÊýb£¬½á¹û±£´æÔÚ±»³ËÊý */
/************************************************************************/
void mul(bignum_t a,const int b)
{
int i ;
for(a[1]*=b,i=2;i<=a[0];i++)
{
a[i]*=b ;
if(a[i-1]>=DEPTH)
a[i]+=a[i-1]/DEPTH,a[i-1]%=DEPTH ;
}
for(;a[a[0]]>=DEPTH;a[a[0]+1]=a[a[0]]/DEPTH,a[a[0]]%=DEPTH,a[0]++);
for(;!a[a[0]]&&a[0]>1;a[0]--);
}
void mul(bignum_t b,const bignum_t a,const int c,const int d)
{
int i ;
memset((void*)b,0,sizeof(bignum_t));
for(b[0]=a[0]+d,i=d+1;i<=b[0];i++)
if((b[i]+=a[i-d]*c)>=DEPTH)
b[i+1]+=b[i]/DEPTH,b[i]%=DEPTH ;
for(;b[b[0]+1];b[0]++,b[b[0]+1]=b[b[0]]/DEPTH,b[b[0]]%=DEPTH);
for(;!b[b[0]]&&b[0]>1;b[0]--);
}
/**************************************************************************/
/* ´óÊýÏà³ý,¶ÁÈë±»³ýÊýa£¬³ýÊýb£¬½á¹û±£´æÔÚc[]Êý×é */
/* ÐèÒªcomp()º¯Êý */
/**************************************************************************/
void div(bignum_t c,bignum_t a,const bignum_t b)
{
int h,l,m,i ;
memset((void*)c,0,sizeof(bignum_t));
c[0]=(b[0]<a[0]+1)?(a[0]-b[0]+2):1 ;
for(i=c[0];i;sub(a,b,c[i]=m,i-1),i--)
for(h=DEPTH-1,l=0,m=(h+l+1)>>1;h>l;m=(h+l+1)>>1)
if(comp(b,m,i-1,a))h=m-1 ;
else l=m ;
for(;!c[c[0]]&&c[0]>1;c[0]--);
c[0]=c[0]>1?c[0]:1 ;
}
void div(bignum_t a,const int b,int&c)
{
int i ;
for(c=0,i=a[0];i;c=c*DEPTH+a[i],a[i]=c/b,c%=b,i--);
for(;!a[a[0]]&&a[0]>1;a[0]--);
}
/************************************************************************/
/* ´óÊýƽ·½¸ù£¬¶ÁÈë´óÊýa£¬½á¹û±£´æÔÚb[]Êý×éÀï */
/* ÐèÒªcomp()º¯Êý */
/************************************************************************/
void sqrt(bignum_t b,bignum_t a)
{
int h,l,m,i ;
memset((void*)b,0,sizeof(bignum_t));
for(i=b[0]=(a[0]+1)>>1;i;sub(a,b,m,i-1),b[i]+=m,i--)
for(h=DEPTH-1,l=0,b[i]=m=(h+l+1)>>1;h>l;b[i]=m=(h+l+1)>>1)
if(comp(b,m,i-1,a))h=m-1 ;
else l=m ;
for(;!b[b[0]]&&b[0]>1;b[0]--);
for(i=1;i<=b[0];b[i++]>>=1);
}
/************************************************************************/
/* ·µ»Ø´óÊýµÄ³¤¶È */
/************************************************************************/
int length(const bignum_t a)
{
int t,ret ;
for(ret=(a[0]-1)*DIGIT,t=a[a[0]];t;t/=10,ret++);
return ret>0?ret:1 ;
}
/************************************************************************/
/* ·µ»ØÖ¸¶¨Î»ÖõÄÊý×Ö£¬´ÓµÍλ¿ªÊ¼Êýµ½µÚb룬·µ»ØbλÉϵÄÊý */
/************************************************************************/
int digit(const bignum_t a,const int b)
{
int i,ret ;
for(ret=a[(b-1)/DIGIT+1],i=(b-1)%DIGIT;i;ret/=10,i--);
return ret%10 ;
}
/************************************************************************/
/* ·µ»Ø´óÊýĩβ0µÄ¸öÊý */
/************************************************************************/
int zeronum(const bignum_t a)
{
int ret,t ;
for(ret=0;!a[ret+1];ret++);
for(t=a[ret+1],ret*=DIGIT;!(t%10);t/=10,ret++);
return ret ;
}
void comp(int*a,const int l,const int h,const int d)
{
int i,j,t ;
for(i=l;i<=h;i++)
for(t=i,j=2;t>1;j++)
while(!(t%j))
a[j]+=d,t/=j ;
}
void convert(int*a,const int h,bignum_t b)
{
int i,j,t=1 ;
memset(b,0,sizeof(bignum_t));
for(b[0]=b[1]=1,i=2;i<=h;i++)
if(a[i])
for(j=a[i];j;t*=i,j--)
if(t*i>DEPTH)
mul(b,t),t=1 ;
mul(b,t);
}
/************************************************************************/
/* ×éºÏÊý */
/************************************************************************/
void combination(bignum_t a,int m,int n)
{
int*t=new int[m+1];
memset((void*)t,0,sizeof(int)*(m+1));
comp(t,n+1,m,1);
comp(t,2,m-n,-1);
convert(t,m,a);
delete[]t ;
}
/************************************************************************/
/* ÅÅÁÐÊý */
/************************************************************************/
void permutation(bignum_t a,int m,int n)
{
int i,t=1 ;
memset(a,0,sizeof(bignum_t));
a[0]=a[1]=1 ;
for(i=m-n+1;i<=m;t*=i++)
if(t*i>DEPTH)
mul(a,t),t=1 ;
mul(a,t);
}
#define SGN(x) ((x)>0?1:((x)<0?-1:0))
#define ABS(x) ((x)>0?(x):-(x))
int read(bignum_t a,int&sgn,istream&is=cin)
{
char str[MAX*DIGIT+2],ch,*buf ;
int i,j ;
memset((void*)a,0,sizeof(bignum_t));
if(!(is>>str))return 0 ;
buf=str,sgn=1 ;
if(*buf=='-')sgn=-1,buf++;
for(a[0]=strlen(buf),i=a[0]/2-1;i>=0;i--)
ch=buf[i],buf[i]=buf[a[0]-1-i],buf[a[0]-1-i]=ch ;
for(a[0]=(a[0]+DIGIT-1)/DIGIT,j=strlen(buf);j<a[0]*DIGIT;buf[j++]='0');
for(i=1;i<=a[0];i++)
for(a[i]=0,j=0;j<DIGIT;j++)
a[i]=a[i]*10+buf[i*DIGIT-1-j]-'0' ;
for(;!a[a[0]]&&a[0]>1;a[0]--);
if(a[0]==1&&!a[1])sgn=0 ;
return 1 ;
}
struct bignum
{
bignum_t num ;
int sgn ;
public :
inline bignum()
{
memset(num,0,sizeof(bignum_t));
num[0]=1 ;
sgn=0 ;
}
inline int operator!()
{
return num[0]==1&&!num[1];
}
inline bignum&operator=(const bignum&a)
{
memcpy(num,a.num,sizeof(bignum_t));
sgn=a.sgn ;
return*this ;
}
inline bignum&operator=(const int a)
{
memset(num,0,sizeof(bignum_t));
num[0]=1 ;
sgn=SGN (a);
add(num,sgn*a);
return*this ;
}
;
inline bignum&operator+=(const bignum&a)
{
if(sgn==a.sgn)add(num,a.num);
else if
(sgn&&a.sgn)
{
int ret=comp(num,a.num);
if(ret>0)sub(num,a.num);
else if(ret<0)
{
bignum_t t ;
memcpy(t,num,sizeof(bignum_t));
memcpy(num,a.num,sizeof(bignum_t));
sub (num,t);
sgn=a.sgn ;
}
else memset(num,0,sizeof(bignum_t)),num[0]=1,sgn=0 ;
}
else if(!sgn)
memcpy(num,a.num,sizeof(bignum_t)),sgn=a.sgn ;
return*this ;
}
inline bignum&operator+=(const int a)
{
if(sgn*a>0)add(num,ABS(a));
else if(sgn&&a)
{
int ret=comp(num,ABS(a));
if(ret>0)sub(num,ABS(a));
else if(ret<0)
{
bignum_t t ;
memcpy(t,num,sizeof(bignum_t));
memset(num,0,sizeof(bignum_t));
num[0]=1 ;
add(num,ABS (a));
sgn=-sgn ;
sub(num,t);
}
else memset(num,0,sizeof(bignum_t)),num[0]=1,sgn=0 ;
}
else if
(!sgn)sgn=SGN(a),add(num,ABS(a));
return*this ;
}
inline bignum operator+(const bignum&a)
{
bignum ret ;
memcpy(ret.num,num,sizeof (bignum_t));
ret.sgn=sgn ;
ret+=a ;
return ret ;
}
inline bignum operator+(const int a)
{
bignum ret ;
memcpy(ret.num,num,sizeof (bignum_t));
ret.sgn=sgn ;
ret+=a ;
return ret ;
}
inline bignum&operator-=(const bignum&a)
{
if(sgn*a.sgn<0)add(num,a.num);
else if
(sgn&&a.sgn)
{
int ret=comp(num,a.num);
if(ret>0)sub(num,a.num);
else if(ret<0)
{
bignum_t t ;
memcpy(t,num,sizeof(bignum_t));
memcpy(num,a.num,sizeof(bignum_t));
sub(num,t);
sgn=-sgn ;
}
else memset(num,0,sizeof(bignum_t)),num[0]=1,sgn=0 ;
}
else if(!sgn)add (num,a.num),sgn=-a.sgn ;
return*this ;
}
inline bignum&operator-=(const int a)
{
if(sgn*a<0)add(num,ABS(a));
else if(sgn&&a)
{
int ret=comp(num,ABS(a));
if(ret>0)sub(num,ABS(a));
else if(ret<0)
{
bignum_t t ;
memcpy(t,num,sizeof(bignum_t));
memset(num,0,sizeof(bignum_t));
num[0]=1 ;
add(num,ABS(a));
sub(num,t);
sgn=-sgn ;
}
else memset(num,0,sizeof(bignum_t)),num[0]=1,sgn=0 ;
}
else if
(!sgn)sgn=-SGN(a),add(num,ABS(a));
return*this ;
}
inline bignum operator-(const bignum&a)
{
bignum ret ;
memcpy(ret.num,num,sizeof(bignum_t));
ret.sgn=sgn ;
ret-=a ;
return ret ;
}
inline bignum operator-(const int a)
{
bignum ret ;
memcpy(ret.num,num,sizeof(bignum_t));
ret.sgn=sgn ;
ret-=a ;
return ret ;
}
inline bignum&operator*=(const bignum&a)
{
bignum_t t ;
mul(t,num,a.num);
memcpy(num,t,sizeof(bignum_t));
sgn*=a.sgn ;
return*this ;
}
inline bignum&operator*=(const int a)
{
mul(num,ABS(a));
sgn*=SGN(a);
return*this ;
}
inline bignum operator*(const bignum&a)
{
bignum ret ;
mul(ret.num,num,a.num);
ret.sgn=sgn*a.sgn ;
return ret ;
}
inline bignum operator*(const int a)
{
bignum ret ;
memcpy(ret.num,num,sizeof (bignum_t));
mul(ret.num,ABS(a));
ret.sgn=sgn*SGN(a);
return ret ;
}
inline bignum&operator/=(const bignum&a)
{
bignum_t t ;
div(t,num,a.num);
memcpy (num,t,sizeof(bignum_t));
sgn=(num[0]==1&&!num[1])?0:sgn*a.sgn ;
return*this ;
}
inline bignum&operator/=(const int a)
{
int t ;
div(num,ABS(a),t);
sgn=(num[0]==1&&!num [1])?0:sgn*SGN(a);
return*this ;
}
inline bignum operator/(const bignum&a)
{
bignum ret ;
bignum_t t ;
memcpy(t,num,sizeof(bignum_t));
div(ret.num,t,a.num);
ret.sgn=(ret.num[0]==1&&!ret.num[1])?0:sgn*a.sgn ;
return ret ;
}
inline bignum operator/(const int a)
{
bignum ret ;
int t ;
memcpy(ret.num,num,sizeof(bignum_t));
div(ret.num,ABS(a),t);
ret.sgn=(ret.num[0]==1&&!ret.num[1])?0:sgn*SGN(a);
return ret ;
}
inline bignum&operator%=(const bignum&a)
{
bignum_t t ;
div(t,num,a.num);
if(num[0]==1&&!num[1])sgn=0 ;
return*this ;
}
inline int operator%=(const int a)
{
int t ;
div(num,ABS(a),t);
memset(num,0,sizeof (bignum_t));
num[0]=1 ;
add(num,t);
return t ;
}
inline bignum operator%(const bignum&a)
{
bignum ret ;
bignum_t t ;
memcpy(ret.num,num,sizeof(bignum_t));
div(t,ret.num,a.num);
ret.sgn=(ret.num[0]==1&&!ret.num [1])?0:sgn ;
return ret ;
}
inline int operator%(const int a)
{
bignum ret ;
int t ;
memcpy(ret.num,num,sizeof(bignum_t));
div(ret.num,ABS(a),t);
memset(ret.num,0,sizeof(bignum_t));
ret.num[0]=1 ;
add(ret.num,t);
return t ;
}
inline bignum&operator++()
{
*this+=1 ;
return*this ;
}
inline bignum&operator--()
{
*this-=1 ;
return*this ;
}
;
inline int operator>(const bignum&a)
{
return sgn>0?(a.sgn>0?comp(num,a.num)>0:1):(sgn<0?(a.sgn<0?comp(num,a.num)<0:0):a.sgn<0);
}
inline int operator>(const int a)
{
return sgn>0?(a>0?comp(num,a)>0:1):(sgn<0?(a<0?comp(num,-a)<0:0):a<0);
}
inline int operator>=(const bignum&a)
{
return sgn>0?(a.sgn>0?comp(num,a.num)>=0:1):(sgn<0?(a.sgn<0?comp(num,a.num)<=0:0):a.sgn<=0);
}
inline int operator>=(const int a)
{
return sgn>0?(a>0?comp(num,a)>=0:1):(sgn<0?(a<0?comp(num,-a)<=0:0):a<=0);
}
inline int operator<(const bignum&a)
{
return sgn<0?(a.sgn<0?comp(num,a.num)>0:1):(sgn>0?(a.sgn>0?comp(num,a.num)<0:0):a.sgn>0);
}
inline int operator<(const int a)
{
return sgn<0?(a<0?comp(num,-a)>0:1):(sgn>0?(a>0?comp(num,a)<0:0):a>0);
}
inline int operator<=(const bignum&a)
{
return sgn<0?(a.sgn<0?comp(num,a.num)>=0:1):(sgn>0?(a.sgn>0?comp(num,a.num)<=0:0):a.sgn>=0);
}
inline int operator<=(const int a)
{
return sgn<0?(a<0?comp(num,-a)>=0:1):
(sgn>0?(a>0?comp(num,a)<=0:0):a>=0);
}
inline int operator==(const bignum&a)
{
return(sgn==a.sgn)?!comp(num,a.num):0 ;
}
inline int operator==(const int a)
{
return(sgn*a>=0)?!comp(num,ABS(a)):0 ;
}
inline int operator!=(const bignum&a)
{
return(sgn==a.sgn)?comp(num,a.num):1 ;
}
inline int operator!=(const int a)
{
return(sgn*a>=0)?comp(num,ABS(a)):1 ;
}
inline int operator[](const int a)
{
return digit(num,a);
}
friend inline istream&operator>>(istream&is,bignum&a)
{
read(a.num,a.sgn,is);
return is ;
}
friend inline ostream&operator<<(ostream&os,const bignum&a)
{
if(a.sgn<0)
os<<'-' ;
write(a.num,os);
return os ;
}
friend inline bignum sqrt(const bignum&a)
{
bignum ret ;
bignum_t t ;
memcpy(t,a.num,sizeof(bignum_t));
sqrt(ret.num,t);
ret.sgn=ret.num[0]!=1||ret.num[1];
return ret ;
}
friend inline bignum sqrt(const bignum&a,bignum&b)
{
bignum ret ;
memcpy(b.num,a.num,sizeof(bignum_t));
sqrt(ret.num,b.num);
ret.sgn=ret.num[0]!=1||ret.num[1];
b.sgn=b.num[0]!=1||ret.num[1];
return ret ;
}
inline int length()
{
return :: length(num);
}
inline int zeronum()
{
return :: zeronum(num);
}
inline bignum C(const int m,const int n)
{
combination(num,m,n);
sgn=1 ;
return*this ;
}
inline bignum P(const int m,const int n)
{
permutation(num,m,n);
sgn=1 ;
return*this ;
}
};
bignum sum[36];
int main()
{
for(int i=0;i<31;i++)
{
bignum n;
n=(long long)1<<i;
//sum[i]=(1+n)*n/2*n*n-2*n*(n*(n-1)*(n+1))/6;
sum[i]=(n+2)*n*n*(n+1)/6;
// cout<<n<<endl;
// cout<<sum[i]<<endl;
}
long long n;
while(cin>>n)
{
bignum ans;
ans=0;
for(int i=0;i<31;i++)
{
long long x;
x=(long long)1<<i;
if(n>=x)
{
ans=ans+sum[i];
n-=x;
if(n==0)break;
}
else
{
bignum x1; x1=(n+2); //先定义，再使用
bignum x3; x3=n;
bignum x2; x2=(n+1);
ans=ans+x1*x2*x3*x3/6;
break;
}
}
cout<<ans<<endl;
}
}
大数类模板（+-*/%等等）
时间： 2024-10-20 22:35:50