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矩阵方程的解

Time Limit: 20000/20000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 142    Accepted Submission(s): 26


Problem Description
有一个矩阵方程$xA=B$,其中$x$是一个$1*n$的行向量,$A$是一个$n*n$的矩阵,$B$是一个$1*n$的行向量,并且$n=9999999999999999999$.

并且$A[i][j]=1$当且仅当$i$是$j$的约数,否则$A[i][j]$是$0$,$B[i]=1$当且仅当$i=1$,否则$B[i]$是$0$.

给出一个$d$和一个$k$,求$x$中第$k$个数值恰好是$d$的位置.

保证答案$\leq 1e^{10}$,且一定存在.
 

Input
第一行一个数$t$,表示测试数据的组数,后面t行,每行两个数$d,k$
 

Output
输出共$t$行,对于每组输入数据的答案
 

Sample Input
1 1 201103
 

Sample Output
661290
 

Source
 

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