Given an array of distinct integers arr
, where arr
is sorted in ascending order, return the smallest index i
that satisfies arr[i] == i
. If there is no such index, return -1
.
Example 1:
Input: arr = [-10,-5,0,3,7]
Output: 3
Explanation: For the given array, arr[0] = -10, arr[1] = -5, arr[2] = 0, arr[3] = 3
, thus the output is 3.
Example 2:
Input: arr = [0,2,5,8,17]
Output: 0
Explanation: arr[0] = 0
, thus the output is 0.
Example 3:
Input: arr = [-10,-5,3,4,7,9] Output: -1 Explanation: There is no suchi
thatarr[i] == i
, thus the output is -1.
Constraints:
1 <= arr.length < 104
-109 <= arr[i] <= 109
Follow up: The
O(n)
solution is very straightforward. Can we do better?
Companies:
Uber
Related Topics:
Array, Binary Search
// OJ: https://leetcode.com/problems/fixed-point/
// Author: github.com/lzl124631x
// Time: O(logN)
// Space: O(1)
class Solution {
public:
int fixedPoint(vector<int>& A) {
int N = A.size(), L = 0, R = N - 1;
while (L <= R) {
int M = (L + R) / 2;
if (A[M] < M) L = M + 1;
else R = M - 1;
}
return L < N && A[L] == L ? L : -1;
}
};
// OJ: https://leetcode.com/problems/fixed-point/
// Author: github.com/lzl124631x
// Time: O(logN)
// Space: O(1)
class Solution {
public:
int fixedPoint(vector<int>& A) {
int N = A.size(), L = 0, R = N - 1;
while (L < R) {
int M = (L + R) / 2;
if (A[M] < M) L = M + 1;
else R = M;
}
return L < N && A[L] == L ? L : -1;
}
};