Different Logic to optimize this code further.

This is a discussion on Different Logic to optimize this code further. within the C Programming forums, part of the General Programming Boards category; Given an array of size N i need to find sum of min numbers of the array which fall within ...

  1. #1
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    Different Logic to optimize this code further.

    Given an array of size N i need to find sum of min numbers of the array which fall within a range.

    For eg: consider an array[ 1,2,3,4,5 ].i need to find sum of min numbersfrom this array which is greater than 5 and less than 8.
    Ans: since 1+5 is greater than 5 and less than 8 so the output is 2

    The way i solved the problem is this way.I checked if min number needed is 1 by using a for loop

    Code:
    for (i = 0; i < 5; i++)
         if (a[i] >= min && a[i] <= max)
            return 1;

    Then for checking if 2 is the min number

    Code:
    for (i = 0; i< 4; i++)
         for (j = i + 1; j < 5; j++)
            if (a[i] + a[j] >= min && a[i] + a[j] <= max)
                return 2;
    And so on...

    Code:
    for (i = 0; i < 3; i++)
         for (j = i + 1; j < 4; j++)
             for (k = j+1; k < 5; k++)
                 if (a[i] + a[j] + a[k] >= min && a[i] + a[j] + a[k] <= max) 
                     return 3;
    Code:
     for (i = 0; i < 2; i++)
         for (j = i + 1; j< 3; j++)
            for (k = j + 1; k< 4; k++)
                for (l = k + 1; l < 5; l++)
                    if (a[i] + a[j] + a[k] + a[l] >= min && a[i] + a[j] + a[k] + a[l] <= max)
                        return 4;
    And finally ...

    Code:
    if(a[0]+a[1]+a[2]+a[3]+a[4]>=min && a[0]+a[1]+a[2]+a[3]+a[4]<=max)
       return 5;
    Can any one suggest a more optimised way of solving this problem..

  2. #2
    Algorithm Dissector iMalc's Avatar
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    Why is the answer 2? 1+2+3 = 6, which is between 5 and 8

    What does the "sum of min numbersfrom this array" actually mean?

    Oh, you want the minimum number of values that you can sum up in order to exceed 5.
    Perhaps you can spot where you can simply add another loop?
    Last edited by iMalc; 10-09-2011 at 12:16 PM.
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  3. #3
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    Thnks for the reply.Ya i want minimum number of values that can sum up in order to exceed 5 but not to exceed 8.

    Here is my function which return the min number of value...

    Code:
    int void CheckValue()
    {
    
    for (i = 0; i &lt; 5; i++) if (a[i] >= min && a[i] <= max) return 1;
    for (i = 0; i< 4; i++) for (j = i + 1; j < 5; j++) if (a[i] + a[j] >= min && a[i] + a[j] <= max) return 2; for (i = 0; i < 3; i++) for (j = i + 1; j < 4; j++) for (k = j+1; k < 5; k++) if (a[i] + a[j] + a[k] >= min && a[i] + a[j] + a[k] <= max) return 3;
    for (i = 0; i < 2; i++) for (j = i + 1; j< 3; j++) for (k = j + 1; k< 4; k++) for (l = k + 1; l < 5; l++) if (a[i] + a[j] + a[k] + a[l] >= min && a[i] + a[j] + a[k] + a[l] <= max) return 4;
    if(a[0]+a[1]+a[2]+a[3]+a[4]>=min && a[0]+a[1]+a[2]+a[3]+a[4]<=max) return 5; return 0; }
    Can u optimise this further or provide a better logic??

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