hdu4734（数位DP）

F(x)

Time Limit: 1000/500 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1684    Accepted Submission(s): 650

Problem Description

For a decimal number x with n digits (A _nA _n-1A _n-2 ... A ₂A ₁), we define its weight as F(x) = A _n * 2 ^n-1 + A _n-1 * 2 ^n-2 + ... + A ₂ * 2 + A ₁ * 1. Now you are given two numbers A and B, please calculate how many numbers are there between 0 and B, inclusive, whose weight is no more than F(A).

 

Input

The first line has a number T (T <= 10000) , indicating the number of test cases.
For each test case, there are two numbers A and B (0 <= A,B < 10 ⁹)

 

Output

For every case,you should output "Case #t: " at first, without quotes. The  t is the case number starting from 1. Then output the answer.

 

Sample Input

    
    
    
    

     
     
     
     3
0 100
1 10
5 100
    
    
    
    

 

Sample Output

    
    
    
    

     
     
     
     Case #1: 1
Case #2: 2
Case #3: 13
    
    
    
    

题意：RT

思路：dp[i][j]表示从最低位到第i位取得的总和 <= j 的方案数，当然在递归的过程中还要判断是否为边界，为边界就不能记忆化了，所以不为边界的时候就可以记录dp值