Reputation: 561
I tried implementing Insertion sort with for loops only and wrote the following code:
def isort(L): #implementation with a for loop
for i in range(1,len(L)):
small = L[i]
M = range(i)
M.reverse()
for j in M:
if small<L[j]:
L[j+1]=L[j]
else:
break
L[j+1] = small
return L
L = [5,4,3,2,1]
M = isort(L)
print M
This gives the output [5,1,2,3,4]. Can someone please point out where I am making a mistake
Upvotes: 1
Views: 3447
Reputation: 1
if __name__ == "__main__":
n = int(input("How many numbers ?\t"))
nums = [int(x) for x in input("Enter {} numbers\t".format(n)).split()]
for i in range(1,n):
val = nums[i]
for j in range(i-1,-2,-1):
if j < 0 : break
if nums[j] > val:
nums[j+1] = nums[j]
else:
break
nums[j+1] = val
for num in nums:
print(num,end=' ')
print()
Upvotes: 0
Reputation: 161
This is little tricky :
I took the inner loop range function as range(j, -2, -1)
, so the inner loop always breaks at one position ahead, so the last statement arr[j + 1] = key
works perfectly
arr = [5, 4, 3, 2, 1]
for i in range(1, len(arr)):
j = i - 1
key = arr[i]
for j in range(j, -2, -1):
if j < 0 or key >= arr[j]:
break
else:
arr[j + 1] = arr[j]
arr[j + 1] = key
Upvotes: 0
Reputation: 20361
Change (the fix shown in the question is easy, the one-off error was caused by one little +1 :)):
L[j+1] = small
To:
L[j] = small
Testing:
>>> isort([5, 4, 3, 2, 1])
[1, 2, 3, 4, 5]
However, there are some other things with your code, as illustrated- it will not work alot of the time. With a fair few tweaks, we can get it to work:
def isort(L):
for i in range(1,len(L)):
small = L[i]
M = range(-1, i)
M.reverse()
for j in M:
if j>=0 and small<L[j]:
L[j+1]=L[j]
else:
break
L[j+1] = small
return L
Testing:
>>> isort([4, 5, 3, 2, 1])
[1, 2, 3, 4, 5]
Upvotes: 4
Reputation: 2361
The post condition for the inner loop is that j
is pointing for the first value that is smaller than small
(this is achieved by the break
call). However, the loop naturally exists when j=0
, therefore in every last inner iteration, the condition is not what you'd expect.
To fix it, I suggest initializing M from -1:
M = range(-1, i)
But then, you have to check as well that j is positive (to avoid making changes you don't want to):
if j>=0 and small<L[j]:
L[j+1]=L[j]
Upvotes: 3