(是非題)Consider two algorithms whose running times T(n)T(n)T(n) satisfy the following recurrences: Algorithm A: T(n)=1000T(n/2)+O(n1000)T(n)=1000T(n/2)+O(n^{1000})T(n)=1000T(n/2)+O(n1000) Algorithm B: T(n)=2T(n−1000)+O(1)T(n)=2T(n-1000)+O(1)T(n)=2T(n−1000)+O(1) Then, Algorithm A is asymptotically faster than Algorithm B.