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Question

Complete the following dynamic programming implementation of the longest increasing subsequence problem:
#include<stdio.h>
int longest_inc_sub(int *arr, int len)
{
      int i, j, tmp_max;
      int LIS[len];  // array to store the lengths of the longest increasing subsequence 
      LIS[0]=1;
      for(i = 1; i < len; i++)
      { 
           tmp_max = 0;
	   for(j = 0; j < i; j++)
	   {
	        if(arr[j] < arr[i])
	        {
		    if(LIS[j] > tmp_max)
		     ___________;  
	        }
           }
	   LIS[i] = tmp_max + 1;
      }
      int max = LIS[0];
      for(i = 0; i < len; i++)
	if(LIS[i] > max)
	   max = LIS[i];
      return max;
}
int main()
{
      int arr[] = {10,22,9,33,21,50,41,60,80}, len = 9;
      int ans = longest_inc_sub(arr, len);
      printf("%d",ans);
      return 0;
}

a.

tmp_max = LIS[j].

b.

LIS[i] = LIS[j].

c.

LIS[j] = tmp_max

d.

tmp_max = LIS[i].

Answer: (a).tmp_max = LIS[j].

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Q. Complete the following dynamic programming implementation of the longest increasing subsequence problem:

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