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Re:分段,再一个一个区间把N对应的数字套住

Posted by 20050345 at 2007-08-18 21:00:07 on Problem 1019
In Reply To:分段,再一个一个区间把N对应的数字套住 Posted by:wrong123 at 2005-12-06 19:37:35
> /*Problem: Poj 1019   思路:
>  归纳分析出m位数所有排出来的长度,有下面的a数组---0索引不用。b数组存储的是该m位数
>  最后一个(例如9<->9,99<->189,999<->2889)排出来的长度。下面就将序号N对应的数字找出来 
> */
> #include<iostream>
> using namespace std; 
> 
> int main()
> {
>     int a[5]={0,45,9045,1395495,189414495};
>     int b[5]={0,9,189,2889,38889};
>     int c[5]={0,10,100,1000,10000};
>     int d[5]={1,10,100,1000,10000};
>     unsigned long i,j,k,n,t;
>     cin>>t;while(t--)
>     {
>         cin>>n;
>         for(i=1;i<5;i++)
>         if(n<=a[i])break;                 //所在的行数为 i位数
>         n-=a[i-1];
>         for(k=0,j=1;k<n;j++)
>             k=b[i-1]*j+i*j*(j+1)/2;       //得到该i-1位的数中排列第一个超过序号n的第j个数(例如:2位数,第j个数是11+j 
>         --j;                              //n号就是落在前面的数10+j 
>         n=n-b[i-1]*(j-1)-i*j*(j-1)/2;     //在该数中寻找最终的位置 
>         for(i=1;i<5;i++)
>         if(n<=b[i])break;                
>         if(i==1)cout<<n<<endl;
>         else                              //求得在该数的一排中 最后更新了的序号n对应的数字
>         {
>             n-=b[i-1];                  
>             k=(n-1)/i+c[i-1];          
>             cout<<k/d[i-(n-1)%i-1]%10<<endl;
>         }
>     }    
>     return 0;
> }

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