题1:
Suppose a sorted array is rotated at some pivot unknown to you beforehand.
(i.e., 0 1 2 4 5 6 7
might become 4 5 6 7 0 1 2
).
You are given a target value to search. If found in the array return its index, otherwise return -1.
You may assume no duplicate exists in the array.
题2:如果数组有重复数字呢?
对于此题,可以先解决此题,找出反转数组中最小值。有了这题的基础,这题就简单了。
public int search(int[] A, int target) {
int low = 0;
int high = A.length-1;
while (low <= high) {
int mid = low + (high - low) / 2;
if (A[mid] == target) {
return mid;
} else if (A[mid] < A[high]) {//右侧有序
if (A[mid] <= target && target <= A[high]) {
low = mid+1;
} else {
high = mid-1;
}
} else {//左侧有序
if (A[low] <= target && target <= A[mid]) {
high = mid-1;
} else {
low = mid+1;
}
}
}
return -1;
}
因为可以根据(low,mid)或(mid,high)有序,解决之。题2呢?
public boolean search(int[] A, int target) {
int low = 0;
int high = A.length-1;
while (low <= high) {
int mid = low + (high - low) / 2;
if (A[mid] == target) {
return true;
} else if (A[mid] < A[high]) {
if (A[mid] <= target && target <= A[high]) {
low = mid+1;
} else {
high = mid-1;
}
} else if (A[mid] > A[high]) {
if (A[low] <= target && target <= A[mid]) {
high = mid-1;
} else {
low = mid+1;
}
} else {
high--;
}
}
return false;
}