I want to set up a for loop but the loop must satisfy the following special conditions:

1. n: number of loops, and there should be n float results.
2. The sum of n float results must be 1. (X1 X2 ... Xn = 1)
3. each new result should decrease by halving.

For example:

n=1             x=1
n=2             x1=0.5 , x2=0.5
n=3             x1=0.5 , x2=0.25, x3=0.25
n=4             x1=0.5 , x2=0.25, x3=0.125, x4=0.125

I could not formulate the problem mathematically.

CodePudding user response：

In every iteration, get the last element of your list, halve it, and append the halved value back to the list.

lst = [1]
for _ in range(n-1):
    e = lst[-1]
    lst[-1] = e/2
    lst.append(e/2)

print(lst)
# [0.5, 0.25, 0.125, 0.125]

Try online

We only need to iterate n-1 times because we started off with 1 already in the list.