human
Find K positive integers not exceeding N and having sum S | Function to represent S as the sum of K positive integers less than or equal to N.
If S can cannot be represented as sum of K integers.
If sum of first i natural numbers exceeds S.
Insert i into nums [ ].
Insert first K - 1 positive numbers into answer [ ].
Insert the K - th number.
Traverse the array answer [ ].
If current element exceeds N.
Add the extra value to the previous element.
Reduce current element to N.
Printing the K numbers.
Driver Code"
How can the above be solved in Python?

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Write me a code to find K positive integers not exceeding N and having sum S and the other steps required?
assistant
#Here is code to find K positive integers not exceeding N and having sum S and the other steps required.
 def solve ( S , K , N ) :
	if ( K > N ) :
		print ( " - 1" )
		return
	max_sum , min_sum = 0 , 0
	for i in range ( K + 1 ) :
		min_sum += i
		max_sum += N - i + 1
	if ( S < min_sum or S > max_sum ) :
		print ( " - 1" )
		return
	s1 = 0
	nums = [ ]
	for i in range ( 1 , N + 1 ) :
		if ( s1 > S ) :
			break
		s1 += i
		nums . append ( i )
	answer = [ ]
	s2 = 0
	for i in range ( K - 1 ) :
		answer . append ( nums [ i ] )
		s2 += nums [ i ]
	answer . append ( S - s2 )
	Max = N
	for i in range ( len ( answer ) - 1 , - 1 , - 1 ) :
		if ( answer [ i ] > Max ) :
			extra = answer [ i ] - Max
			if ( i - 1 >= 0 ) :
				answer [ i - 1 ] += extra
			answer [ i ] = Max
			Max -= 1
		else :
			break
	for x in answer :
		print ( x , end = " ▁ " )
if __name__ == ' _ _ main _ _ ' :
	S , K , N = 15 , 4 , 8
	solve ( S , K , N )