code第一部分:数组, 在反转数组中查找,有重复数据
Would this affect the run-time complexity? How and why?
Write a function to determine if a given target is in the array.
分析:和上题一样,但是在重复的时候,有所不同。
允许重复元素,则上一题中如果 A[m]>=A[l], 那么 [l,m] 为递增序列的假设就不能成立了,比
如 [1,3,1,1,1]。
如果 A[m]>=A[l] 不能确定递增,那就把它拆分成两个条件:
• 若 A[m]>A[l],则区间 [l,m] 一定递增
• 若 A[m]==A[l] 确定不了,那就 l++,往下看一步即可。
bool search(int A[], int n, int target) { int first = 0, last = n; while (first != last) { const int mid = (first + last) / 2; if (A[mid] == target) return true; if (A[first] < A[mid]) { if (A[first] <= target && target < A[mid]) last = mid; else first = mid + 1; } else if (A[first] > A[mid]) { if (A[mid] <= target && target <= A[last-1]) first = mid + 1; else last = mid; } else //skip duplicate one, A[start] == A[mid] first++; } return false; }