Complexity analysis for while loop + list.insert()











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I have the following code for merging two sorted arrays in-place:



def mergeArrays(a1,a2,m,n):

i, j, k = m-1, n-1, m+n-1

while i >=0 and j >=0:
if a1[i] >= a2[j]:
i-=1

else:
a1.insert(i+1,a2[j])
j-=1

return a1


where



a = [1, 5, 9, 10, 15, 20] 
b = [2, 3, 8, 13]
m,n = len(a), len(b)


I want to understand what will be the time complexity of the above code. From my limited understanding, the outer while loop will run O(n) times, and list.insert() takes O(n) time to insert an item. So does that make the full program run in O(n*n)?










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    up vote
    -1
    down vote

    favorite












    I have the following code for merging two sorted arrays in-place:



    def mergeArrays(a1,a2,m,n):

    i, j, k = m-1, n-1, m+n-1

    while i >=0 and j >=0:
    if a1[i] >= a2[j]:
    i-=1

    else:
    a1.insert(i+1,a2[j])
    j-=1

    return a1


    where



    a = [1, 5, 9, 10, 15, 20] 
    b = [2, 3, 8, 13]
    m,n = len(a), len(b)


    I want to understand what will be the time complexity of the above code. From my limited understanding, the outer while loop will run O(n) times, and list.insert() takes O(n) time to insert an item. So does that make the full program run in O(n*n)?










    share|improve this question
























      up vote
      -1
      down vote

      favorite









      up vote
      -1
      down vote

      favorite











      I have the following code for merging two sorted arrays in-place:



      def mergeArrays(a1,a2,m,n):

      i, j, k = m-1, n-1, m+n-1

      while i >=0 and j >=0:
      if a1[i] >= a2[j]:
      i-=1

      else:
      a1.insert(i+1,a2[j])
      j-=1

      return a1


      where



      a = [1, 5, 9, 10, 15, 20] 
      b = [2, 3, 8, 13]
      m,n = len(a), len(b)


      I want to understand what will be the time complexity of the above code. From my limited understanding, the outer while loop will run O(n) times, and list.insert() takes O(n) time to insert an item. So does that make the full program run in O(n*n)?










      share|improve this question













      I have the following code for merging two sorted arrays in-place:



      def mergeArrays(a1,a2,m,n):

      i, j, k = m-1, n-1, m+n-1

      while i >=0 and j >=0:
      if a1[i] >= a2[j]:
      i-=1

      else:
      a1.insert(i+1,a2[j])
      j-=1

      return a1


      where



      a = [1, 5, 9, 10, 15, 20] 
      b = [2, 3, 8, 13]
      m,n = len(a), len(b)


      I want to understand what will be the time complexity of the above code. From my limited understanding, the outer while loop will run O(n) times, and list.insert() takes O(n) time to insert an item. So does that make the full program run in O(n*n)?







      python complexity






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      ajaanbaahu

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