## 747. Largest Number At Least Twice of Others

In a given integer array `nums`, there is always exactly one largest element.

Find whether the largest element in the array is at least twice as much as every other number in the array.

If it is, return the index of the largest element, otherwise return -1.

Example 1:

```Input: nums = [3, 6, 1, 0]
Output: 1
Explanation: 6 is the largest integer, and for every other number in the array x,
6 is more than twice as big as x.  The index of value 6 is 1, so we return 1.
```

Example 2:

```Input: nums = [1, 2, 3, 4]
Output: -1
Explanation: 4 isn't at least as big as twice the value of 3, so we return -1.
```

Note:

1. `nums` will have a length in the range `[1, 50]`.
2. Every `nums[i]` will be an integer in the range `[0, 99]`.

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#### Approach #1: Linear Scan [Accepted]

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Intuition and Algorithm

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Scan through the array to find the unique largest element `m`, keeping track of it\'s index `maxIndex`.

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Scan through the array again. If we find some `x != m` with `m < 2*x`, we should return `-1`.

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Otherwise, we should return `maxIndex`.

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Complexity Analysis

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Time Complexity: where is the length of `nums`.

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Space Complexity: , the space used by our `int` variables.

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Analysis written by: @awice.

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