There are `N' boxes (0<=N<=1000) each containing different number of balls. The user has to input two random numbers `a' (a<N) and `b'such that 'a' no. of boxes are selected from the total `N' no. of boxes and the total no. of balls in those 'a' boxes is the minimum possible multiple of 'b`.

I have to write a method that takes the parameters as `N', `a' and` b' and returns the minimum possible multiple of 'b' as explained above.

Sample Test case:

Input:

No. of balls (N) = 5

The no. of balls per box = {1,2,3,4,5}

No. of boxes to select (a) = 3

No. whose minimum multiple is desired (b) = 5

Output:

10

Here the element (which represents the no. of balls in each box) 1,4,5 add to 10 which is the minimum possible multiple of 5 for 3 selected boxes in this case.

I am having problem in iterating over this array to get required combination of 'a' number of boxes which meet the above requirement. For loops fail here since the number of combination (selection) is not known before execution. Please suggest a suitable data structure/process for this problem.

Khusbu Sinha wrote:

.

I have to write a method that takes the parameters as `N', `a' and` b' and returns the minimum possible multiple of 'b' as explained above.

There is a slight correction here: The parameters are the array (representing the no. of balls per box), 'a' and 'b'.

Are you supposed to choose all the locations in the array at random? In which case I could have chosen three random indices and got 4+4+2=10. Please confirm whether your array contains 0.

I think you need to go and find a piece of paper and write down how you are going to do this. Don't even try with code until you have got an algorithm on paper.

Search my posts in this forum for

__random ints toArray__and you will find something useful. Are the numbers truly random, or are you insisting they be distinct?

My first crack at simplifying the requirements would be something like this:

Given an array of integers R with N elements. Each element of R is unique and can have a value from 0 to N, inclusive. Elements of R are not arranged in any particular order. This much seem pretty clear to me.

Here's where I'm not so clear. Are you supposed to be given a random number A that's less than N and another random number B? Then you're supposed to pick A elements from R at random then figure out the minimum possible multiple of B you can get from those A numbers?

Some clarifying questions: Do you have to use

*all*of the A numbers you randomly pick from array R to find that minimum multiple of B? Can you use them only once or can I use each of them multiple times if I have to? Are you limited to the kind of arithmetic operations you can use to compute the minimum multiple? In your example of 1, 4, and 5 to calculate 10 as the minimum multiple of 5, the most obvious operation used there was just addition. That is, 1 + 4 + 5 = 10. So you can only do addition? What if the numbers don't add up to any multiple of B?

Let's take another example. What if R = {0..50} and A = 3 and B = 13. Then what if the three numbers I randomly picked from R are {1, 17, and 23}. How am I supposed to calculate a minimum multiple of 13 from these three numbers? What would be the output of the program in this case?

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So you have a small number of user‑supplied numbers. Do you know how to get numbers from the keyboard? That would be a start:-You can delete line 5 when you are confident the keyboard entry is working correctly. You have to import Arrays: write

`import java.util.Arrays;`before the beginning of your class.

Junilu Lacar wrote:

Here's where I'm not so clear. Are you supposed to be given a random number A that's less than N and another random number B? Then you're supposed to pick A elements from R at random then figure out the minimum possible multiple of B you can get from those A numbers?

Yes. That is exactly what is wanted.

Junilu Lacar wrote: Some clarifying questions: Do you have to useallof the A numbers you randomly pick from array R to find that minimum multiple of B? Can you use them only once or can I use each of them multiple times if I have to?

Each combination of A numbers randomly picked can be used only once.

Junilu Lacar wrote: Are you limited to the kind of arithmetic operations you can use to compute the minimum multiple? In your example of 1, 4, and 5 to calculate 10 as the minimum multiple of 5, the most obvious operation used there was just addition. That is, 1 + 4 + 5 = 10. So you can only do addition? What if the numbers don't add up to any multiple of B?

Yes, only addition is allowed here. In case, the numbers don't add up to any multiple of B, -1 should be returned.

Junilu Lacar wrote:Let's take another example. What if R = {0..50} and A = 3 and B = 13. Then what if the three numbers I randomly picked from R are {1, 17, and 23}. How am I supposed to calculate a minimum multiple of 13 from these three numbers? What would be the output of the program in this case?

Here the output would be -1.

Khusbu Sinha wrote:Junilu Lacar wrote: Some clarifying questions: Do you have to useallof the A numbers you randomly pick from array R to find that minimum multiple of B? Can you use them only once or can I use each of them multiple times if I have to?

Each combination of A numbers randomly picked can be used only once.

Do you mean

*exactly*once or

*at most*once (possibly zero times)?

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Practice mindfully by doing the right things and doing things right.*— Junilu

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*Practice only makes habit, only perfect practice makes perfect.
Practice mindfully by doing the right things and doing things right.*— Junilu

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Practically everything you need to write the program to solve this problem has now been mentioned in this thread.

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What you can do instead is to shuffle the elements of the array as you pick them out. Say you had an array {1, 2, 3, 4, 5}. To pick out 3 random elements, you'd do this:

Pick a random index from 0 - 4 (the Random.nextInt(int) method allows you to do this). Let's say you get 2 from your random generator. So, R[2] is the third element, which is the number 3. Great, you have the first number picked out.

A random generator does not produce unique numbers though, so it's possible that it could return 2 again the next time you call nextInt(). But you've already picked R[2], so what do you do?

Well, before generating another random number, you can move the value you don't want to pick again to the end of the array, so you'd swap the values in R[2] and R[4]. Now your R looks like this: {1, 2, 5, 4, 3}.

So, to pick the next number, you'd just generate a random number from 0 - 3 because you have one less number to pick from now. Let's suppose that Random.nextInt() does indeed give you a 2 again. No problem, because we've already swapped the old value out the end, R[2] is now 5. So again, you move 5 to the end but this time the end of the list is at R[3]. Now your array looks like this: {1, 2, 4, 5, 3}.

You keep doing this as many times as you need until you've picked out A numbers. When you're done, the A numbers you randomly picked out will be the last A elements of R.

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Also, my output varies per execution. It sometimes gives the correct answer and at other times, gives the wrong ones or gives run time exception. I feel something is wrong with my method to select values.

Please help me correct this program.

MinMultiple.java

RandomSelection.java

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Choosing a method name like

`ballCount`(not

`ball_count`) would be great except in this case it doesn't fit your intent. Because of that, line 88 makes no sense. The label you print is "The minimum possible multiple" yet your method name says it's returning a ball count. That's like the checkout lady at the grocery store telling you how many oranges you bought when you ask her how much money you owe.

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`multiple`method in a loop can result in different values being returned and added to that list on line 18. It doesn't seem like you have the algorithm clearly understood yet and that's reflected in the incoherence of the code.

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Junilu Lacar wrote: I'm not following how calling themultiplemethod in a loop can result in different values being returned and added to that list on line 18. It doesn't seem like you have the algorithm clearly understood yet and that's reflected in the incoherence of the code.

Probably, my method to select random values is incorrect. It selects repetitive values per loop of sum calculation.

Enter the no. of boxes: 5

Enter the number of balls per box: 1 2 3 4 5

[1, 2, 3, 4, 5]

Enter the number whose multiple you want: 5

How many boxes do you want to select? 3

4 3 3

4 2 2

1 4 1

2 2 2

5 2 1

2 4 1

3 1 2

2 4 2

4 4 2

5 4 1

The minimum possible multiple = 10

>

Here, as we see, the values per row (i.e. per loop of sum calculation) are repeated which should not happen. I am not able to figure out the source of its `repetitive` nature.

`rand`is a very common one used for this purpose. I would just use this variable directly where I need a random number.

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*List*to generate a set of non-repeating random values per iteration of the

*for loop*. This solves the problem of duplicate values but my program gives the wrong answer as the minimum multiple. Please help me find out what's wrong in the code to find minimum multiple from the list of multiples.

Are you not using an IDE that can autoformat your code? I don't understand how you can even stand to read code formatted like that. I certainly can't.

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