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大数模板

2016-04-19 13:23 323 查看
大数模板 适合网络比赛 ,支持加减乘除模

/*Sherlock and Watson and Adler*/
/*
+,-,*,/,% 可直接使用.
CIN读入
bignum数据类型
*/
#include<iostream>
#include<string.h>
#include<stdio.h>
#include<iostream>
using namespace std;
#define DIGIT    4
#define DEPTH    10000
#define MAX     100
typedef int bignum_t[MAX+1];
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;
}

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);
}

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]++);
}

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]--);
}

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]--);
}

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]--);
}

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]--);
}

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]--);
}

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);
}

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;
}

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;
}

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);
}

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;
}

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 q,P;
int main()
{
int t;
scanf("%d",&t);
while(t--)
{
cin>>q>>P;
cout<<q-P<<endl;
}
return 0;
}
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