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36 changes: 36 additions & 0 deletions Trees/FenwickTree.js
Original file line number Diff line number Diff line change
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/*
* Author: Mohit Kumar
* Fedwick Tree Implementation in JavaScript
* Fedwick Tree Implementation for finding prefix sum.
*/

class FenwickTree {
constructor (feneickArray, array, n) {
for (let i = 1; i <= n; i++) {
feneickArray[i] = 0
}
for (let i = 0; i < n; i++) {
this.update(feneickArray, n, i, array[i])
}
}

update (feneickArray, n, index, value) {
index = index + 1
while (index <= n) {
feneickArray[index] += value
index += index & (-index)
}
}

getPrefixSum (feneickArray, index) {
let currSum = 0
index = index + 1
while (index > 0) {
currSum += feneickArray[index]
index -= index & (-index)
}

return currSum
}
}
export { FenwickTree }
22 changes: 22 additions & 0 deletions Trees/test/FenwickTree.test.js
Original file line number Diff line number Diff line change
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import { FenwickTree } from '../FenwickTree'

describe('Fenwick Tree Implementation', () => {
const fenwickArray = new Array(1000)
const array = [3, 2, 0, 6, 5, -1, 2]
const length = array.length

const fenwickTree = new FenwickTree(fenwickArray, array, length)

it('Fenwick Tree - Prefix sum of array', () => {
const prefixSum = fenwickTree.getPrefixSum(fenwickArray, 6)
expect(prefixSum).toBe(23)
})

array[2] += 6
fenwickTree.update(fenwickArray, length, 2, 6)

it('Fenwick Tree - Prefix sum of Updated array', () => {
const prefixSum = fenwickTree.getPrefixSum(fenwickArray, 6)
expect(prefixSum).toBe(23)
})
})
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