A non-empty array A consisting of N integers is given. Array A represents numbers on a tape.
Any integer P, such that 0 < P < N, splits this tape into two non-empty parts: A[0], A[1], ..., A[P − 1] and A[P], A[P + 1], ..., A[N − 1].
The difference between the two parts is the value of: |(A[0] + A[1] + ... + A[P − 1]) − (A[P] + A[P + 1] + ... + A[N − 1])|
In other words, it is the absolute difference between the sum of the first part and the sum of the second part.
For example, consider array A such that:
A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 4 A[4] = 3We can split this tape in four places:
- P = 1, difference = |3 − 10| = 7
- P = 2, difference = |4 − 9| = 5
- P = 3, difference = |6 − 7| = 1
- P = 4, difference = |10 − 3| = 7
Write a function:
function solution(A);
that, given a non-empty array A of N integers, returns the minimal difference that can be achieved.
For example, given:
A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 4 A[4] = 3the function should return 1, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [2..100,000];
- each element of array A is an integer within the range [−1,000..1,000].
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
if(A.length === 2){
return Math.abs(A[1] - A[0])
}else{
var sum1 = 0;
var sum2 = 0;
var total = 0;
for(var p = 0; p < A.length; p++){
total += A[p]
}
let minDiff = Math.abs(total - sum1)
for(var p = 1; p < A.length; p++){
sum1 += A[p-1]
sum2 = total - sum1
const diff = Math.abs(sum2 - sum1)
if(diff < minDiff){
minDiff = diff
}
if(minDiff === 0){
return 0;
}
}
return minDiff
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
if(A.length === 2){
return Math.abs(A[1] - A[0])
}else{
var sum1 = 0;
var sum2 = 0;
var total = 0;
for(var p = 0; p < A.length; p++){
total += A[p]
}
let minDiff = Math.abs(total - sum1)
for(var p = 1; p < A.length; p++){
sum1 += A[p-1]
sum2 = total - sum1
const diff = Math.abs(sum2 - sum1)
if(diff < minDiff){
minDiff = diff
}
if(minDiff === 0){
return 0;
}
}
return minDiff
}
}
[-10, -20, -30, -40, 100]
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
if(A.length === 2){
return Math.abs(A[1] - A[0])
}else{
var sum1 = 0;
var sum2 = 0;
var total = 0;
for(var p = 0; p < A.length; p++){
total += A[p]
}
let minDiff = Math.abs(total - sum1)
for(var p = 1; p < A.length; p++){
sum1 += A[p-1]
sum2 = total - sum1
const diff = Math.abs(sum2 - sum1)
console.log(diff)
if(diff < minDiff){
minDiff = diff
}
if(minDiff === 0){
return 0;
}
}
return minDiff
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
if(A.length === 2){
return Math.abs(A[1] - A[0])
}else{
var sum1 = 0;
var sum2 = 0;
var total = 0;
for(var p = 0; p < A.length; p++){
total += A[p]
}
let minDiff = Math.abs(total - sum1)
for(var p = 1; p < A.length; p++){
sum1 += A[p-1]
sum2 = total - sum1
const diff = Math.abs(sum2 - sum1)
console.log(diff)
if(diff < minDiff){
minDiff = diff
}
if(minDiff === 0){
return 0;
}
}
return minDiff
}
}
[-10, -20, -30, -40, 100]
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
if(A.length === 2){
return Math.abs(A[1] - A[0])
}else{
var sum1 = 0;
var sum2 = 0;
var total = 0;
for(var p = 0; p < A.length; p++){
total += A[p]
}
let minDiff = Math.abs(total - sum1)
for(var p = 1; p < A.length; p++){
sum1 += A[p-1]
sum2 = total - sum1
const diff = Math.abs(sum2 - sum1)
console.log(diff,)
if(diff < minDiff){
minDiff = diff
}
if(minDiff === 0){
return 0;
}
}
return minDiff
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
if(A.length === 2){
return Math.abs(A[1] - A[0])
}else{
var sum1 = 0;
var sum2 = 0;
var total = 0;
for(var p = 0; p < A.length; p++){
total += A[p]
}
let minDiff = Math.abs(total - sum1)
for(var p = 1; p < A.length; p++){
sum1 += A[p-1]
sum2 = total - sum1
const diff = Math.abs(sum2 - sum1)
console.log(diff, diff < minDiff)
if(diff < minDiff){
minDiff = diff
}
if(minDiff === 0){
return 0;
}
}
return minDiff
}
}
[-10, -20, -30, -40, 100]
7 true 5 true 1 true 7 false
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
if(A.length === 2){
return Math.abs(A[1] - A[0])
}else{
var sum1 = 0;
var sum2 = 0;
var total = 0;
for(var p = 0; p < A.length; p++){
total += A[p]
}
let minDiff = Math.abs(total - sum1)
for(var p = 1; p < A.length; p++){
sum1 += A[p-1]
sum2 = total - sum1
const diff = Math.abs(sum2 - sum1)
console.log(diff, diff < minDiff)
if(diff < minDiff){
minDiff = diff
}
if(minDiff === 0){
return 0;
}
}
return minDiff
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
if(A.length === 2){
return Math.abs(A[1] - A[0])
}else{
var sum1 = 0;
var sum2 = 0;
var total = 0;
for(var p = 0; p < A.length; p++){
total += A[p]
}
let minDiff = Math.abs(total - sum1)
for(var p = 1; p < A.length; p++){
sum1 += A[p-1]
sum2 = total - sum1
const diff = Math.abs(sum2 - sum1)
console.log(diff, diff < minDiff)
minDiff = minDiff ? minDiff : diff
if(diff < minDiff){
minDiff = diff
}
if(minDiff === 0){
return 0;
}
}
return minDiff
}
}
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
if(A.length === 2){
return Math.abs(A[1] - A[0])
}else{
var sum1 = 0;
var sum2 = 0;
var total = 0;
for(var p = 0; p < A.length; p++){
total += A[p]
}
let minDiff = Math.abs(total - sum1)
for(var p = 1; p < A.length; p++){
sum1 += A[p-1]
sum2 = total - sum1
const diff = Math.abs(sum2 - sum1)
minDiff = minDiff ? minDiff : diff
if(diff < minDiff){
minDiff = diff
}
if(minDiff === 0){
return 0;
}
}
return minDiff
}
}
[-10, -20, -30, -40, 100]
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
if(A.length === 2){
return Math.abs(A[1] - A[0])
}else{
var sum1 = 0;
var sum2 = 0;
var total = 0;
for(var p = 0; p < A.length; p++){
total += A[p]
}
let minDiff = Math.abs(total - sum1)
for(var p = 1; p < A.length; p++){
sum1 += A[p-1]
sum2 = total - sum1
const diff = Math.abs(sum2 - sum1)
minDiff = minDiff ? minDiff : diff
if(diff < minDiff){
minDiff = diff
}
if(minDiff === 0){
return 0;
}
}
return minDiff
}
}
[-10, -20, -30, -40, 100]
// you can write to stdout for debugging purposes, e.g.
// console.log('this is a debug message');
function solution(A) {
// write your code in JavaScript (Node.js 8.9.4)
if(A.length === 2){
return Math.abs(A[1] - A[0])
}else{
var sum1 = 0;
var sum2 = 0;
var total = 0;
for(var p = 0; p < A.length; p++){
total += A[p]
}
let minDiff = Math.abs(total - sum1)
for(var p = 1; p < A.length; p++){
sum1 += A[p-1]
sum2 = total - sum1
const diff = Math.abs(sum2 - sum1)
minDiff = minDiff ? minDiff : diff
if(diff < minDiff){
minDiff = diff
}
if(minDiff === 0){
return 0;
}
}
return minDiff
}
}
The solution obtained perfect score.