Let's denote as the number of bits set ('1' bits) in the binary representation of the non-negative integer x.
You are given multiple queries consisting of pairs of integers l and r. For each query, find the x, such that l ≤ x ≤ r, and is maximum possible. If there are multiple such numbers find the smallest of them.
Input
The first line contains integer n — the number of queries (1 ≤ n ≤ 10000).
Each of the following n lines contain two integers li, ri — the arguments for the corresponding query (0 ≤ li ≤ ri ≤ 1018).
Output
For each query print the answer in a separate line.
Sample test(s)
Input
3
1 2
2 4
1 10
Output
1
3
7
题目大意:
给定L,R,输出X,X为[L,R]中化为二进制之后一的个数最多的那个数,(同时存在多个解,输出最小的那个)。
解题思路:
设L,R的从高位开始有t1位相同,那么根据常识,x的前t1位(从高位开始数)必然也与LR相同。又因为L<=R,那么t1+1位不同,必然是L为0,R为1。
此时将x的t1+1位赋值为0,后面所有为都为1。那么求出的X: L<=x 存在特殊情况:R换成二进制之后全部为1,所以要加一个判断。判断x在t1+1位为1的时候是否绝对大于R,绝对大于的话,就将t1+1赋值为0;反之,赋值为1。 Code: 6 ************************************************************************/
7
8 #include
14 #include