how to print string inside pyramid python

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I've been given a homework assignment that asks to print an equilateral triangle with '*' as the frame and inside the triangle a string of fixed number of '$' and spaces is supposed to run.

example: Enter height: 9 Enter number of $: 5 Enter number of spaces: 2

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I am lost here, help?

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Let's see over what logic it works. You will find code at last.

1st.

How to create left-side star pattern like this :
    *
   *
  *
 *

First thing is how many spaces on the left of each star is equal to TOTAL_HEIGHT_OF_PATTERN - CURRENT_HEIGHT_STATUS. for given example let's take 2nd-line so:

TOTAL_HEIGHT_OF_PATTERN = 4
CURRENT_HEIGHT_STATUS = 2
NUMBER_OF_SPACE_ON_LEFT = TOTAL_HEIGHT_OF_PATTERN - CURRENT_HEIGHT_STATUS = 2

2nd.

How to create `$` and `space` pattern like this in between: (BOTTOM PATTERN IS ONLY FOR VISUALIZATION)
        *
       *$*
      *$$$*
     *  $$$*
    *$$$$$  *
   *$$$$$  $$*
  *$$$$$  $  $*
 *$$$    $$$$$$*

How many spaces at given height, for above system it is found.
spaces:0 for height @ 1, 2, 3
spaces:1 for height @ 4, 5, 6
spaces:2 for height @ 7, 8

Instead of completely using loop let's divide them in procedural code. For making particular enclose-string we can use make_str function who logic revolves around the remaining number of $

CODE :

height = int(input('Height : '))
doller = int(input('Dollor : '))
spaces = int(input('Spaces : '))

def make_str(rem, len_str):
    x = 0
    s = ''
    for _ in range(len_str):
        if rem >0:
            s += '$'
            rem -= 1
        else:
            s += ' '
            x += 1
            if x == spaces:
                x = 0
                rem = 5
    return (rem, s)

rem_dollor = doller

for i in range(1,height+1):
    num = 2*(i)-3
    rem_dollor, str_  =  make_str(rem_dollor, num)
    if i == 1:
        print(' '*(height-i) + '*')
    elif i != height and i !=  1:
        print(' '*(height-i) + '*' + str_ + '*')
    else:
        print('*'*(2*height-1))

OUTPUT :

Height : 9
Dollor : 5
Spaces : 2
        *
       *$*
      *$$$*
     *$  $$*
    *$$$  $$*
   *$$$  $$$$*
  *$  $$$$$  $*
 *$$$$  $$$$$  *
*****************