Follow up for "Search in Rotated Sorted Array":
What if duplicates are allowed?
Would this affect the run-time complexity? How and why?
Write a function to determine if a given target is in the array.
Analysis:重复元素的确会影响A[m]>=A[l] 判断递增序列,比如[1,4,5,1,1,1,1]
如果A[m]>=A[l]不能确定递增,那就把它拆分成两个条件
1. A[m]>A[l] 递增
2. A[m] ==A[l] 确定不了,那就l++,往下看一步即可。
Java
int l = 0;
int r = A.length-1;
while(l<=r){
int m = (l+r)/2;
if(A[m]==target) return true;
if(A[m]>A[l]){
if(A[l]<=target && A[m]>target){
r = m-1;
}else
l = m+1;
}else if(A[m]<A[l]){
if(A[m]<target && target<=A[r])
l = m+1;
else
r = m-1;
}else {
l++;
}
}
return false;
c++
bool search(int A[], int n, int target) {
int start = 0;
int end = n-1;
while(start <= end){
int mid = (start + end)/2;
if(A[mid] == target) return true;
if(A[mid] > A[start]){
if(target <= A[mid] && target >= A[start]) end = mid-1;
else start = mid+1;
}else if(A[mid]< A[start]){
if(target >= A[start] || target < A[mid]) end = mid-1;
else start = mid+1;
}else{
start++;
}
}
return false;
}