391.X的“2-height”被定义为2^n的最大质因子(n是非负整数)。如果n,m都是正整数,问:2^m的2-height和2^k的2-height哪一个大? (1)m>k (2)m除以k是偶数答案:B
1. X is a positive integer. 2-height of X is defined as the greatest negative integer n where 2^n is a factor of X. K and M are two positive integers. Whether 2-height of K is greater than 2-height of M? a. K is greater than M b. K is even times of M (Key: B) (by rosemsem) 题义解析:说对于含2的n次方的数, 2-height 指的是n的值。问k和m谁的2-height大? (1) K>M (2) K除以M是偶数. (please notice K,k; M,m; e) K = a* 2^k; M = b* 2^m; (1) k>m, means nothing. (2) k/m= (a/b) * (2^k/2^m) = 2^e; A, b must be odd number, or you can extract at least one more 2, which gonna change k or m. So in this case, (a/b) must be 1, otherwise it would be a fraction. In a word, k-m=e. K>m. B is sufficient.
这两个不是一道题吧?还是笔者回忆错了?2^K的2-HEIGHT和K的2-HEIGHT不是一个意思的吧? 1. X is a positive integer. 2-height of X is defined as the greatest negative integer n where 2^n is a factor of X. K and M are two positive integers. Whether 2-height of K is greater than 2-height of M? a. K is greater than M b. K is even times of M (Key: B) (by rosemsem) 题义解析:说对于含2的n次方的数, 2-height 指的是n的值。问k和m谁的2-height大? (1) K>M (2) K除以M是偶数. (please notice K,k; M,m; e) K = a* 2^k; M = b* 2^m; (1) k>m, means nothing. (2) k/m= (a/b) * (2^k/2^m) = 2^e; A, b must be odd number, or you can extract at least one more 2, which gonna change k or m. So in this case, (a/b) must be 1, otherwise it would be a fraction. In a word, k-m=e. K>m. B is sufficient.
这两个不是一道题吧?还是笔者回忆错了?2^K的2-HEIGHT和K的2-HEIGHT不是一个意思的吧? |