HDU 1023 Train Problem II 卡特兰数 及完全大数模板
发布时间:2020-12-14 02:19:10 所属栏目:大数据 来源:网络整理
导读:邝斌神犇的模板好用 Train Problem II Time Limit: 2000/1000 MS (Java/Others)????Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 7001????Accepted Submission(s): 3788 Problem Description As we all know the Train Problem I,the bo
邝斌神犇的模板好用 Train Problem IITime Limit: 2000/1000 MS (Java/Others)????Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 7001????Accepted Submission(s): 3788
Problem Description
As we all know the Train Problem I,the boss of the Ignatius Train Station want to know if all the trains come in strict-increasing order,how many orders that all the trains can get out of the railway.
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Input
The input contains several test cases. Each test cases consists of a number N(1<=N<=100). The input is terminated by the end of file.
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Output
For each test case,you should output how many ways that all the trains can get out of the railway.
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Sample Input
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Sample Output
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Author
Ignatius.L
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Statistic?|? Submit?|? Discuss | Note ACcode: #include <map> #include <queue> #include <cmath> #include <cstdio> #include <cstring> #include <stdlib.h> #include <iostream> #include <algorithm> #define rd(x) scanf("%d",&x) #define rd2(x,y) scanf("%d%d",&x,&y) #define ll long long int #define maxn 100005 #define mod 1000000007 #define INF 0x3f3f3f3f //int×?′ó?μ #define FOR(i,f_start,f_end) for(int i=f_start;i<=f_end;++i) #define MT(x,i) memset(x,i,sizeof(x)) #define PI acos(-1.0) #define E exp(1) #define MAXN 9999 #define MAXSIZE 1010 #define DLEN 4 using namespace std; class BigNum{ private: int a[500]; int len; public: BigNum(){len=1;MT(a,0);} BigNum(const int);///int 转大数 BigNum(const char*);///字符转大数 BigNum(const BigNum&);///拷贝 BigNum &operator=(const BigNum&);///重载赋值 friend istream& operator>>(istream&,BigNum&);///重载输入 friend ostream& operator<<(ostream&,BigNum&);///输出 BigNum operator+(const BigNum&)const; BigNum operator-(const BigNum&)const; BigNum operator*(const BigNum&)const; BigNum operator/(const int &)const; BigNum operator^(const int &)const;///n次方 int operator%(const int &)const;///大数对Int数取mod bool operator>(const BigNum &T)const;///比大小 bool operator>(const int &t)const; void print(); }; BigNum ::BigNum(const int b){ int c,d=b; len=0; MT(a,0); while(d>MAXN){ c=d-((d/MAXN+1))*(MAXN+1); d=d/(MAXN+1); a[len++]=c; } a[len++]=d; } BigNum::BigNum(const char *s){ int t,k,myindex,L,i; MT(a,0); L=strlen(s); len=L/DLEN; if(L%DLEN)len++; myindex=0; for(i=L-1;i>=0;i-=DLEN){ t=0; k=i-DLEN+1; if(k<0)k=0; for(int j=k;j<=i;++j) t=t*10+s[j]-'0'; a[myindex++]=t; } } BigNum::BigNum(const BigNum &T):len(T.len){ MT(a,0); for(int i=0;i<len;i++) a[i]=T.a[i]; } BigNum&BigNum::operator=(const BigNum &n){ len=n.len; MT(a,0); for(int i=0;i<len;i++) a[i]=n.a[i]; return *this; } istream& operator>>(istream &in,BigNum &b){ char ch[MAXSIZE*4]; int i=-1; in>>ch; int L=strlen(ch); int count=0,sum=0; for(i=L-1;i>=0;){ sum=0; int t=1; for(int j=0;j<4&&i>=0;j++,i--,t*=10) sum+=(ch[i]-'0')*t; b.a[count]=sum; count++; } b.len=count++; return in; } ostream& operator<<(ostream& out,BigNum& b){ int i; cout<<b.a[b.len-1]; for(i=b.len-2;i>=0;i--) printf("%04d",b.a[i]); return out; } BigNum BigNum::operator+(const BigNum &T)const{ BigNum t(*this); int i,big; big=T.len>len?T.len:len; for(i=0;i<big;++i){ t.a[i]+=T.a[i];; if(t.a[i]>MAXN){ t.a[i+1]++; t.a[i]-=MAXN+1; } } if(t.a[big]!=0) t.len=big+1; else t.len=big; return t; } BigNum BigNum::operator-(const BigNum &T)const{ int j,big; bool flag; BigNum t1,t2; if(*this>T){ t1=*this; t2=T; flag=0; } else { t1=T; t2=*this; flag=1; } big=t1.len; for(int i=0;i<big;i++){ if(t1.a[i]<t2.a[i]){ j=i+1; while(t1.a[j]==0) j++; t1.a[j--]--; while(j>i) t1.a[j--]+=MAXN; t1.a[i]+=MAXN+1-t2.a[i]; } else t1.a[i]-=t2.a[i]; } t1.len=big; while(t1.a[len-1]==0&&t1.len>1){ t1.len--; big--; } if(flag) t1.a[big-1]=0-t1.a[big-1]; return t1; } 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>1) ret.len--; return ret; } int BigNum::operator%(const int &b)const{ int i,d=0; for(i=len-1;i>=0;i--) d=((d*(MAXN+1))%b+a[i])%b; return d; } BigNum BigNum::operator^(const int &n)const{ BigNum t,ret(1); int i; if(n<0)exit(-1); if(n==0)return 1; if(n==1)return *this; int m=n; while(m>1){ t=*this; for(i=1;(i<<1)<=m;i<<=1) t=t*t; m-=i; ret=ret*t; if(m==1)ret=ret*(*this); } return ret; } bool BigNum::operator>(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; } bool BigNum::operator>(const int &t)const{ BigNum b(t); return *this>b; } void BigNum::print(){ int i; printf("%d",a[len-1]); for(i=len-2;i>=0;i--) printf("%04d",a[i]); printf("n"); } BigNum my[110]; int main(){ my[0]=1; for(int i=1;i<110;++i) my[i]=my[i-1]*(4*i-2)/(i+1); int n; while(cin>>n){ my[n].print(); } return 0; } (编辑:李大同) 【声明】本站内容均来自网络,其相关言论仅代表作者个人观点,不代表本站立场。若无意侵犯到您的权利,请及时与联系站长删除相关内容! |