Bit Mask

In bit-wise expression, mask is a common term. You can get a certain bit-pattern using mask. For example, if you want to make first 4 bits of a 32-bit number zero, you can use 0xFFFFFFF0 as mask and perform a bit-wise AND operation. Here you have to find such a bit-mask. Consider you are given a 32-bit unsigned integer N. You have to find a mask M such that L ≤ M ≤ U and N OR M is maximum. For example, if N is 100 and L = 50, U = 60 then M will be 59 and N OR M will be 127 which is maximum. If several value of M satisfies the same criteria then you have to print the minimum value of M. Input Each input starts with 3 unsigned integers N, L, U where L ≤ U. Input is terminated by EOF. Output For each input, print in a line the minimum value of M, which makes N OR M maximum. Look, a brute force solution may not end within the time limit. Sample Input 100 50 60 100 50 50 100 0 100 1 0 100 15 1 15 Sample Output 59 50 27 100 1