702-search-in-a-sorted-array-of-unknown-size
Question
https://leetcode.com/problems/search-in-a-sorted-array-of-unknown-size/description/
Given an integer array sorted in ascending order, write a function to searchtarget
innums
. Iftarget
exists, then return its index, otherwise return-1
.However, the array size is unknown to you. You may only access the array using anArrayReader
interface, where ArrayReader.get(k)
returns the element of the array at indexk
(0-indexed).
You may assume all integers in the array are less than 10000
, and if you access the array out of bounds,ArrayReader.get
will return2147483647
.
Example 1:
Input: array = [-1,0,3,5,9,12], target = 9
Output: 4
Explanation: 9 exists in nums and its index is 4
Example 2:
Input: array = [-1,0,3,5,9,12], target = 2
Output: -1
Explanation: 2 does not exist in nums so return -1
Note:
- You may assume that all elements in the array are unique.
- The value of each element in the array will be in the range [-9999, 9999].
Thought Process
- Binary Search
- We set our search index to be from 0 to 2147483647, named lo and hi
- Our search ends when we hit our target or hi > lo
- Time complexity O(1) from 32 times or search
- Space complexity O(1)
Solution
class Solution {
public int search(ArrayReader reader, int target) {
int lo = 0, hi = Integer.MAX_VALUE;
while (lo <= hi) {
int mi = lo + (hi - lo) / 2;
int val = reader.get(mi);
if (val == target) return mi;
else if (val < target) lo = mi + 1;
else hi = mi - 1;
}
return -1;
}
}