human
Give me a code to smallest value of N such that the sum of all natural numbers from K to N is at least X and the other steps required given the following:
Smallest value of N such that the sum of all natural numbers from K to N is at least X | Function to check if the sum of natural numbers from K to N is >= X.
Function to find the minimum value of N such that the sum of natural numbers from K to N is at least X.
If K is greater than X.
Perform the Binary Search.
If the sum of the natural numbers from K to mid is atleast X.
Update res.
Update high.
Otherwise , update low.
Print the value of res as the answer.
Driver Code"
How can the above be solved in Python?
assistant
#Here is code to smallest value of N such that the sum of all natural numbers from K to N is at least X and the other steps required.
 def isGreaterEqual ( N , K , X ) :
	return ( ( ( N * ( N + 1 ) // 2 ) - ( ( K - 1 ) * K // 2 ) ) >= X )
def minimumNumber ( K , X ) :
	if ( K > X ) :
		print ( " - 1" )
		return
	low = K
	high = X
	res = - 1
	while ( low <= high ) :
		mid = low + ( ( high - low ) // 2 )
		if ( isGreaterEqual ( mid , K , X ) ) :
			res = mid
			high = mid - 1
		else :
			low = mid + 1
	print ( res )
K = 5
X = 13
minimumNumber ( K , X )