/**

* @author: Adrito Mukherjee

* Implementation of ZFunction in JavaScript

* ZFunction at an index i gives the length of the longest substring starting at i, that is also a prefix of the whole string

* ZFunction for all indices in a string can be calculated in O(N)

* @see https://cp-algorithms.com/string/z-function.html

* @param {String} text The string whose Z Function is to be calculated

* @return {Array} Returns an array whose i-th index is the value of Z Function for text at index i

*/

function zFunction(text) {

const length = text.length

const zArray = Array(length).fill(0)

// Initializing left and right variable to zero

let left = 0

let right = 0

for (let index = 0; index < length; index++) {

// If index is less than or equal to right, we reuse the values of zFunction at index right-index+1

// It is made sure that value of zFunction at index is not greater than maximum possible value at index

if (index <= right) {

zArray[index] = Math.min(right - index + 1, zArray[index - left])

}

// After zArray[index] is initialized, we see if we can increase its value by trivially comparing character by character

while (

index + zArray[index] < length &&

text[zArray[index]] === text[index + zArray[index]]

) {

zArray[index]++

}

// If index + zArray[index] - 1 is greater than right, we update values of variables left and right

if (index + zArray[index] - 1 > right) {

left = index

right = index + zArray[index] - 1

}

}

return zArray

}

export default zFunction