How to solve maximum-Firstminimum in an array? - java

static int maxDifference(int[] a) {
int minimum, diff = -1;
if(a.length == 0) {
return -1;
}
minimum = a[0];
for (int i = 1; i < a.length; i++) {
diff = Math.max(diff, a[i] - minimum);
minimum = Math.min(minimum, a[i]);
}
return diff;
While i was searching code for max-Firstmin found this code. Please explain how this code works for the input int[a]={20,10,65,95,110,200,60,700,5} it returns 700-10 not 700-5.How?

Use Below code, which will give you expected answer.
static int maxDifference(int[] a)
{
int minimum, diff , maximum = -1;
if(a.length == 0) {
return -1;
}
minimum = a[0];
maximum = a[0];
for (int i = 1; i < a.length; i++)
{
minimum = Math.min(minimum, a[i]);
maximum = Math.max(maximum , a[i]);
}
diff = maximum - minimum;
return diff;
}

This algorithm (as #Pavneet wrote) computes maximum from differences between value and minimum from all previous values - not all values. So in your example:
int[a]={20,10,65,95,110,200,60,700,5}
i=0, result = 0 (minimum from all previous values = 20 and value = 20)
i=1 result = 0 (minimum = 20, value = 10)
...
i=7, result = 700 -10 (minium = 10, value = 700)
i=8, result = -5 (miniumum= 10, value = 5)
max(0,0..,700-10,-5) = 700-10

Following code will work.
static int maxDifference(int[] a) {
int min = a[0];
int max = a[0];
for (int i = 1; i < a.length; i++)
{
if(min > a[i])
min = a[i];
if(max < a[i])
max = a[i];
}
return ( max - min );
}

Related

How to get the index of the value with the smallest difference?

int[] b = new int[4];
int min = 10000;
int index = 0;
b[0] = arr[0][0]; //b[0]=>
b[1] = arr[1][0]; //b[1]=>
b[2] = arr[2][0]; //b[2]=>
b[3] = arr[3][0]; //b[3]=>
for (int i = 0; i < b.length; i++) {
if(b[i]>r)
b[i]=b[i]-r;
else
b[i]=r-b[i];
if (b[i] < min) {
min = b[i] ;
index = i;
}}
return index;
I want to find the index which is closest to my number r.
eg where the delta is smallest
can anyone help me ?
here an example: b[0]=1, b[1]=2,b[2]=3,b[3]=4 r=5 ---> smallest difference is 1 (5-b[3]) so the index i want is 3.
Two problems: You are not setting the new min right, and you are not setting the new index right.
for (int i = 0; i < b.length; i++) {
if (b[i]-r < min)
min = b[i];
index = i;
}
You need to include - r in the new min, and you need to put index = I; in the same block, or else index will always be b.length - 1
for (int i = 0; i < b.length; i++) {
var dist = Math.abs(b[i]-r);
if (dist < min) {
min = dist;
index = i;
}
}

when input becomes very big, problems occurs in the findConsecutiveOnes Java code, why?

I was asked to find the number of the largest consecutive 1s in an array.
which means, in [1,0,1,1], the answer should be 2.
I wrote a code and it works well when the input is small array.
public int findMaxConsecutiveOnes(int[] nums) {
if (nums == null) return 0;
int max = 0;
int finalMax = 0;
for (int i = 0; i < nums.length; i++) {
if (nums[i] == 1){
max += 1;
} else {
if (max != 0) finalMax = max;
max = 0;
}
finalMax = Math.max(max, finalMax);
}
return finalMax;
}
But when you try an array of 2840's 1, it will return 2317. I don't know what is wrong with my code. Can anybody give me a clue?
Thanks!!!
public int findMaxConsecutiveOnes(int[] nums) {
if (nums == null) return 0;
int max = 0;
int finalMax = 0;
for (int i = 0; i < nums.length; i++) {
if (nums[i] == 1){
max += 1;
} else {
finalMax = Math.max(max, finalMax);
max = 0;
}
}
finalMax = Math.max(max, finalMax);
return finalMax;
}

Tape-Equilibrium Codility Training program

I submitted a solution to Tape Equilibrium problem in Codility. [Codility training][1]
The problem is described as follows:
A non-empty zero-indexed 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.
The solution I submitted is:
class Solution {
public int solution(int[] A) {
long d = A[0] - A[A.length-1];
int l = 1;
int r = A.length -2;
while(l <= r) {
if (Math.abs(d + A[l]) < Math.abs(d - A[r])) {
d += A[l];
l++;
}
else {
d -= A[r];
r--;
}
}
return (int) Math.abs(d);
}
}
I achieved 85% accuracy but couldn't get to correct for some use case. Can someone help me to find what's wrong with this solution. Thanks
The following is my 100% solution:
class Solution {
public int solution(int[] A) {
// write your code in Java SE 8
// int idx = 0;
int sumPre = A[0];
int sumPost = 0;
for (int i = 1; i < A.length; i++) {
sumPost += A[i];
}
int difMin = Math.abs(sumPost - sumPre);
int tempSub = 0;
for (int i = 1; i < A.length - 1; i++) {
sumPre += A[i];
sumPost -= A[i];
tempSub = Math.abs(sumPost - sumPre);
if (tempSub < difMin) {
difMin = tempSub;
// idx = i+1;
}
}
return difMin;
}
}
I can not find their test input, but I find a weird thing is that when "for(int i = 1; i < A.length - 1; i++) " is changed to " for(int i = 1; i < A.length; i++)", then it will trigger two wrong runs...So it still must be a border value issue.
If any one find a test input can break the validity, please share with us, thanks.
Caution: {1,-1} indeed triggered the problem, since P < N, so at least one element should be left in the right part. -> {1,-1},{} is not a valid solution according to the problem definition.
Problem solved.
C# and Linq version for 100% as of May 2021:
public int solution(int[] A)
{
int left = A[0];
int right = A.Skip(1).Aggregate((c,x)=> c+=x);
int min = Math.Abs(left-right);
for(int i=1; i < A.Length-1; i++)
{
left+=A[i];
right-=A[i];
min = Math.Min(min,Math.Abs(left-right));
}
return min;
}
I also tried and got only 83%. My solution:
class Solution {
public int solution(int[] A) {
int[] leftSums = new int[A.length];
for (int i = 0; i < leftSums.length; i++) {
leftSums[i] = 0;
}
int sum = 0;
for (int i = 0; i < A.length; i++) {
sum += A[i];
leftSums[i] = sum;
}
/*
for (int i = 0; i < leftSums.length; i++) {
if (i == 0) {
System.out.print("Left Sums Array is : [");
}
if (i == leftSums.length - 1) {
System.out.println(leftSums[i] + "]");
}
System.out.print(leftSums[i] + ", ");
}
*/
final int total = sum;
//System.out.println("Total is " + total);
int minDiff = Integer.MAX_VALUE;
int currDiff = 0;
for (int i = 0; i < leftSums.length; i++) {
currDiff = Math.abs(leftSums[i] - (total - leftSums[i]));
if (currDiff < minDiff) {
minDiff = currDiff;
}
}
return minDiff;
}
}
Below are those which failed for correctness.
double
two elements 1.280 s WRONG ANSWER
got 0 expected 2000
small
small elements 1.304 s WRONG ANSWER
got 0 expected 20
I tested myself for 2 elements and it worked for me.
I share my 100% score Java solution:
class Solution {
public int solution(int[] A) {
final int size = A.length;
long sumMin = (int)A[0];
long sumMax = 0;
for (int i = 1; i < size; i++) {
sumMax += (int)A[i];
}
int minDif = (int)Math.abs(sumMax - sumMin);
for (int i = 1; i < size; i++) {
int dif = (int)Math.abs(sumMax - sumMin);
if (dif < minDif) {
minDif = dif;
}
sumMin += A[i];
sumMax -= A[i];
}
return minDif;
}
}
The trick is that looping the array twice your complexity is 2N, which is O(N).
Addition results should be 'long' in order not to have problems with big extremes.
For %83 results, the problem is it says "splits this tape into two non-empty parts". So if you split for A[0], your first array will be empty. So you should start with A[1].
Ruby 100%
def solution(a)
left = a.inject(:+)
right = 0
a[0...-1].inject(Float::INFINITY) do |min, el|
left -=el
right += el
candidate = (right-left).abs
min < candidate ? min : candidate
end
end
You can actually do that, with one loop in C#.
Add Linq:
public int solution(int[] A)
{
// write your code in C# 6.0 with .NET 4.5 (Mono)
long sum = A.Sum(p => (long)p);
int val1 = Convert.ToInt32(A.GetValue(0));
int val2 = Convert.ToInt32(sum - val1);
int result = Math.Abs(val1 - val2);
for (int i = 1; i < A.Length-1; i++)
{
val1 += Convert.ToInt32(A.GetValue(i));
val2 -= Convert.ToInt32(A.GetValue(i));
if (result > Math.Abs(val1 - val2))
{
result = Math.Abs(val1 - val2);
}
}
return result;
}
Counterexample for user699681: A = {0, 1, 2, -5, 2},
and for Ism: A = {1, -1}.
TapeEquilibrium in C
int solution(int A[], int N) {
// write your code in C90
long int s_r=0,s_l=A[0],sum=A[0];
int i,min=11111111,r;
for(i=1;i<N;i++)
sum+=A[i];
for(i=1;i<N;i++)
{
s_r=sum-s_l;
r=(int)(s_l-s_r);
if(r<0) r=-r;
if(min>r)min=r;
if(min==0)break;
s_l=sum-s_r+A[i];
}
return min;
}
.. Or even a bit shorter to get 100%
public int solution(int[] A) {
int sumMin = A[0];
int sumMax = 0;
for (int i = 1; i < A.length; i++) {
sumMax += A[i];
}
int minDif = Math.abs(sumMin - sumMax);
for (int i = 1; i < A.length - 1; i++) {
sumMin += A[i];
sumMax -= A[i];
minDif = Math.min(minDif, Math.abs(sumMin - sumMax));
}
return minDif;
}
Here's my implementation using Java 8 IntStream to simplify the sum process...
100% Correct, 100% Performance.
import java.util.stream.IntStream;
public class TapeEquilibrium {
public static int diffIndex( int[] A ) {
long lower = 0, diff = 0, higher = IntStream.of( A ).asLongStream().sum(), minDiff = Integer.MAX_VALUE;
for(int i = 0; i < A.length-1; i++) {
lower += A[i];
higher -= A[i];
diff = Math.abs( higher - lower);
if( diff < minDiff ) {
minDiff = diff;
}
}
return (int) minDiff;
}
public static void main( String[] args ) {
int[] A = { 3, 1, 2, 4, 3 };
System.out.println( diffIndex( A ) );
}
}
here is my Solution with 100% correctness & performance
int solution(int A[], int N)
{
int sum,i;
sum=0;
for(i=0;i<N;i++)
{
sum+=A[i];
A[i]=sum;
}
int min_diff=abs(sum-A[0]*2);
for(i=0;i<N-1;i++)
{
int tmp;
tmp=abs(sum-A[i]*2);
if(tmp<min_diff)
min_diff=tmp;
}
return min_diff;
}
Try this one:
Class Solution {
public int solution(int[] A) {
int sum1 = 0;
int sum2 = 0;
int sum3 = 0;
int len = A.length;
int min = 1 ;
for(int i=0; i<len; i++){
sum2 += A[i];
}
for(int i=0; i< len-1 ; i++){
sum1 += A[i];
sum3 = sum2-sum1;
if( min > Math.abs(sum1- sum3)){
min = Math.abs( sum1 - sum3);
}
}
return min;
}
}
Here is 100% in scala.
def solution(A: Array[Int]): Int = {
//get the whole sum
val allSum = A.sum
//calculate left and right sum
var sumLeft = A(0)
var sumRight = allSum - sumLeft
//set initial diff for P=1
var minDiff = math.abs(sumLeft-sumRight) //difference
// loop for all P after the initial P position
for(p <- 1 to A.length-2){
//recalculate values
sumLeft += A(p)
sumRight -= A(p)
if(math.abs(sumLeft-sumRight) < minDiff){
// if difference is smaller then save new min diff
minDiff = math.abs(sumLeft-sumRight)
}
}
minDiff
}
Performance: https://codility.com/demo/results/trainingZNZCZN-AGC/
long sumofall = 0, leftsideSum = A[0], rightsidesum=0;
int x,LR = 0;
ArrayList listResult = new ArrayList();
for(x=0;x<A.Length;x++)
{
sumofall+= A[x];
}
for(x=1;x<A.Length;x++)
{
rightsidesum = sumofall-leftsideSum;
LR = (int)(rightsidesum - leftsideSum);
if(LR < 0)
{
LR=-LR;
}
listResult.Add(LR);
leftsideSum+=A[x];
}
listResult.Sort();
return Convert.ToInt32(listResult[0].ToString());
}
I share my 100% solution using Java 8.
public class TapeEquilibrium {
public int tapeEquilibrium(int[] A) {
final int N = A.length;
long minimalSum = (int) A[0];
int[] rightSide = Arrays.copyOfRange(A, 1, N);
long maximalSum = IntStream.of(rightSide).sum();
int minimalDifference = (int) Math.abs(maximalSum - minimalSum);
for (int i = 1; i < N; i++) {
int difference = (int) Math.abs(maximalSum - minimalSum);
minimalDifference = difference < minimalDifference ? difference : minimalDifference;
minimalSum += A[i];
maximalSum -= A[i];
}
return minimalDifference;
}
}
Here is my C# solution. Score 100%
if (A == null || A.Length == 0)
{
return 0;
}
int d1 = 0;
int d2 = A.Sum();
int p = 1;
int x = int.MaxValue;
// Replaced using A.sum();
//for (int i=0; i < A.Length; i++)
//{
// d2 += A[i];
//}
for (int j = 0; j < A.Length; j++)
{
if (j < p)
{
d1 += A[j];
}
int ad = Math.Abs(d1 - (d2 - d1));
x = Math.Min(x, ad);
if (p == A.Length -1) { break; }
p++;
}
return x;
Below is my solution which got 100% . As most of you guys did I first got the sum of the array then go through it while adding up left and right parts and then getting the absolutes of them and putting the results into a map then checking the map for the minimum value .
int totalLeft = 0;
int totalRight = 0;
int total = 0;
int result = 0;
Map<Integer, Integer> map = new HashMap<Integer, Integer>();
for (int i = 0; i < A.length; i++) {
total += A[i];
}
for (int i = 0; i < A.length - 1; i++) {
totalRight = total - (A[i] + totalLeft);
totalLeft += A[i];
result = Math.abs(totalLeft - totalRight);
map.put(i, result);
}
return Collections.min(map.values());
TapeEquilibrium in Swift 4
public func solution(_ A : inout [Int]) -> Int {
let P = 1
var splitIndex = P
var firstPartSum = A[splitIndex - 1]
var secondPartSum = Array(A[splitIndex..<A.count]).reduce(0, +)
var minimalDifference = abs(firstPartSum - secondPartSum)
if minimalDifference == 0 {
return minimalDifference
}
splitIndex += 1
while splitIndex < A.count {
firstPartSum += A[splitIndex - 1]
secondPartSum -= A[splitIndex - 1]
let dif = abs(firstPartSum - secondPartSum)
if dif == 0 {
return dif
}
if dif < minimalDifference {
minimalDifference = dif
}
splitIndex += 1
}
return minimalDifference
}
No one posted Javascript solution yet so here is mine with comments:
// 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)
// Making it shorter.
let len = A.length;
// Definitely need to store, and initialise first value.
let left = new Array(len);
left[0] = A[0];
// Same as above, but initialise for last value.
let right = new Array(len);
right[len - 1] = A[len - 1];
let trackLowest = Number.MAX_SAFE_INTEGER;
// One shot calculate for both at any element (from 'outwards' 'in').
// Note there is 2 elements at least, and we already preset the first
// element, so we start and build from index 1.
for (let i = 1; i < len; ++i) {
left[i] = left[i - 1] + A[i];
right[len - 1 - i] = right[len - i] + A[len - 1 - i];
}
// Once the above is done, it's time to calculate the difference.
// If I am at index 0, then I want sum of index 0 AND left, and sum of index
// 1 and right (note not index 0 also).
// We stop before len - 1 because that's the rules and the sum of right will
// have been out of bounds if we want difference for last index, isn't it?
for (let i = 0; i < len - 1; ++i) {
let smallestDiff = Math.abs(left[i] - right[i + 1]);
if (smallestDiff < trackLowest) {
trackLowest = smallestDiff;
}
}
return trackLowest;
}
Basically sum up as you walk the loop simultaneously for the left and right side.
Once done, just get the difference, that's it. O(n) complexity.
My 100% JavaScript solution with O(N) time complexity (should be pretty self-explanatory):
function solution(A) {
let left = 0;
let right = A.reduce((sum, cur) => sum + cur, 0);
let min = Infinity;
for (let p = 0, len = A.length - 1; p < len; p++) {
left += A[p];
right -= A[p];
min = Math.min(min, Math.abs(left - right));
}
return min;
}
100% in Swift 4 for correctness & performance
Detected Time Complexity: 0(n)
var sumMin = A[0]
var sumMax = 0
for i in 1..<A.count {
sumMax += A[i]
}
var diff = abs(sumMin - sumMax)
for i in 1..<A.count-1 {
sumMin += A[i]
sumMax -= A[i]
diff = min(diff, abs(sumMin - sumMax));
}
return diff
Here mine in Java,
// got 91% because "int totalRight = (Arrays.stream(A).sum() - A[0]);" take too long to load
int totalLeft = A[0];
int totalRight = (Arrays.stream(A).sum() - A[0]);
//int afterMinus = 0;
int min = 0;
min = Math.abs(totalLeft - totalRight);
for(int i=1; i<(A.length-1); i++) {
//for(int j=A.length; j>0; j--) {
totalLeft += A[i];
totalRight -= A[i];
//System.out.println("totalLeft = "+ totalLeft);
//System.out.println("totalRight = "+ totalRight);
if(Math.abs(totalLeft - totalRight) < min) {
//System.out.println("min = "+ min);
min = Math.abs(totalLeft - totalRight);
}
}
return min;
// got 100% because change "int totalRight = (Arrays.stream(A).sum() - A[0]);" into for loop
//int totalSum = Arrays.stream(A).sum();
int totalLeft = A[0];
int totalRight = 0;
//int afterMinus = 0;
int min = 0;
for(int i=1; i<A.length; i++) {
totalRight += A[i];
}
min = Math.abs(totalLeft - totalRight);
for(int i=1; i<(A.length-1); i++) {
//for(int j=A.length; j>0; j--) {
totalLeft += A[i];
totalRight -= A[i];
//System.out.println("totalLeft = "+ totalLeft);
//System.out.println("totalRight = "+ totalRight);
if(Math.abs(totalLeft - totalRight) < min) {
//System.out.println("min = "+ min);
min = Math.abs(totalLeft - totalRight);
}
}
return min;
Well, from 91% to 100%, thanks to #sebadagostino after surfing for almost 2 hours for the logic and hints.

Java array minimum element within for-loop

OK, I have been at it for a long time now. I have looked after similar problems here in stack-overflow and I still can't make it work. I need to find the maximum values within an array and minimum values. Trying to find the minimum is the problem. I have literately tried everything from writing separate methods and so on and still the output in 0. Here is what I have tried:
import java.util.Scanner;
class ArrayMin {
public static void main(String args[]) {
#SuppressWarnings("resource")
Scanner scanner = new Scanner(System.in);
int a[] = new int[10];
int max = a[0];
int min = a[0];
System.out.println("Enter elements of array :");
for (int i = 0; i < 10; i++) {
a[i] = scanner.nextInt();
if (i == 9)
break;
}
for (int i = 1; i < a.length; i++) {
if (a[i] > max)
max = a[i];
else if (a[i] < min)
min = a[i];
}
System.out.println("Result is max is :" + (max)); //if I input 1-10, output is 10
System.out.println("Result is min is :" + (min)); //whatever number I input the output is always 0
}
}
When you declare your array, it's initialized to all zeroes. Then you assign the min to your first element, which is zero. Presumably all values are >= to 0 once they're assigned, so the min is still zero, but the max is correct.
Establish your max and min after the for loop where you assign input values to the array.
for (int i = 0; i < 10; i++) {
a[i] = scanner.nextInt();
if (i == 9)
break;
}
// Moved HERE.
int max = a[0];
int min = a[0];
Replace this.
int max = Integer.MIN_VALUE;
int min = Integer.MAX_VALUE;
...
for (int i = 0; i < a.length; i++) {
if (a[i] > max)
max = a[i];
if (a[i] < min)
min = a[i];
}
...

Code is printing out largest subscript of the array when it should be printing maximum and minimum

I'm trying to print the largest and smallest values on an array, as well as their respective subscripts. I'm running into a problem where my code, though printing the highest and lowest values of the array, is returning the largest subscript (regardless of value) for both maximum and minimum arrays. The problem lies somewhere in the for loops, below.
int max = arrayOfNumbers[0];
int min = arrayOfNumbers[0];
int indexMax = 0;
int indexMin = 0;
for (int i = 0; i < arrayOfNumbers.length; i++) {
if (max < arrayOfNumbers[i])
max = arrayOfNumbers[i];
indexMax = i;
}
for (int i = 0; i < arrayOfNumbers.length; i++) {
if (min > arrayOfNumbers[i])
min = arrayOfNumbers[i];
indexMin = i;
This should work:
int max = arrayOfNumbers[0];
int min = arrayOfNumbers[0];
int indexMax = 0;
int indexMin = 0;
for (int i = 0; i < arrayOfNumbers.length; i++) {
if (max < arrayOfNumbers[i]) {
max = arrayOfNumbers[i];
indexMax = i;
}
}
for (int i = 0; i < arrayOfNumbers.length; i++) {
if (min > arrayOfNumbers[i]) {
min = arrayOfNumbers[i];
indexMin = i;
}
}
You forgot to put both lines after the ifs into braces. Each time the code inside the loops executed, the current index had been written into both indexMax and indexMin, and that's why after the loops finished, they contained the "largest subscript".

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