大数模板
2016-04-19 13:23
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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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