human
What is a code to find permutation of numbers upto N with a specific sum in a specific range and the other steps required given the following:
Find permutation of numbers upto N with a specific sum in a specific range | Function to check if sum is possible with remaining numbers.
Stores the minimum sum possible with x numbers.
Stores the maximum sum possible with x numbers.
If S lies in the range [ minSum , maxSum ].
Function to find the resultant permutation.
Stores the count of numbers in the given segment.
If the sum is not possible with numbers in the segment.
Output - 1.
Stores the numbers present within the given segment.
Iterate over the numbers from 1 to N.
If ( S - i ) is a positive non - zero sum and if it is possible to obtain ( S - i ) remaining numbers.
Update sum S.
Update required numbers in the segement.
Push i in vector v.
If sum has been obtained.
Break from the loop.
If sum is not obtained.
Output - 1.
Stores the numbers which are not present in given segment.
Loop to check the numbers not present in the segment.
Pointer to check if i is present in vector v or not.
If i is not present in v.
Push i in vector v1.
Point to the first elements of v1 and v respectively.
Print the required permutation.
Driver Code"
How can the above be solved in Python?
assistant
#Here is code to find permutation of numbers upto N with a specific sum in a specific range and the other steps required.
 def possible ( x , S , N ) :
	minSum = ( x * ( x + 1 ) ) // 2
	maxSum = ( x * ( ( 2 * N ) - x + 1 ) ) // 2
	if ( S < minSum or S > maxSum ) :
		return False
	return True
def findPermutation ( N , L , R , S ) :
	x = R - L + 1
	if ( not possible ( x , S , N ) ) :
		print ( " - 1" )
		return
	else :
		v = [ ]
		for i in range ( N , 0 , - 1 ) :
			if ( ( S - i ) >= 0 and possible ( x - 1 , S - i , i - 1 ) ) :
				S = S - i
				x -= 1
				v . append ( i )
			if ( S == 0 ) :
				break
		if ( S != 0 ) :
			print ( - 1 )
			return
		v1 = [ ]
		for i in range ( 1 , N + 1 ) :
			it = i in v
			if ( not it ) :
				v1 . append ( i )
		j = 0
		f = 0
		for i in range ( 1 , L ) :
			print ( v1 [ j ] , end = " ▁ " )
			j += 1
		for i in range ( L , R + 1 ) :
			print ( v [ f ] , end = " ▁ " )
			f += 1
		for i in range ( R + 1 , N + 1 ) :
			print ( v1 [ j ] , end = " ▁ " )
			j += 1
	return
if __name__ == " _ _ main _ _ " :
	N = 6
	L = 3
	R = 5
	S = 8
	findPermutation ( N , L , R , S )