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Checking for centrally peaked arrays in JavaScript
Problem
We are required to write a JavaScript function that takes in an array of numbers, arr, as the first and the only argument.
Our function should check whether the input array is a centrally peaked array or not. If it is a centrally peaked array, we should return true, false otherwise.
The conditions for being a centrally peaked array are −
arr.length >= 3
There exists some i with 0 < i < arr.length - 1 such that:
arr[0] < arr[1] < ... arr[i-1] < arr[i]
arr[i] > arr[i+1] > ... > arr[arr.length - 1]
For example, if the input to the function is −
const arr = [2, 6, 7, 9, 5, 3, 1];
Then the output should be −
const output = true;
Output Explanation
Because the array peaks at 9.
Example
The code for this will be −
const arr = [2, 6, 7, 9, 5, 3, 1]; const isCentrallyPeaked = (arr = []) => { let ind = undefined; for (let i = 1; i <= arr.length - 1; i++) { if (ind === undefined) { if (arr[i] < arr[i - 1]) { ind = i - 1 } else if (arr[i] === arr[i - 1]) { return false } } else if (arr[i] >= arr[i - 1]) { return false } } return ind > 0 && ind < arr.length - 1 }; console.log(isCentrallyPeaked(arr));
Output
And the output in the console will be −
true
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