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Length of Smallest subarray in range 1 to N with sum greater than a given value | Function to do a binary search on a given range ..
Total sum is the sum of N numbers ..
Sum until mid.
If remaining sum is < the required value , then the required number is in the right half.
Driver code"
Solution in Python:

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What is a code to length of Smallest subarray in range 1 to N with sum greater than a given value and the other steps required?
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#Here is code to length of Smallest subarray in range 1 to N with sum greater than a given value and the other steps required.
 def usingBinarySearch ( start , end , N , S ) :
	if ( start >= end ) :
		return start ;
	mid = start + ( end - start ) // 2 ;
	totalSum = ( N * ( N + 1 ) ) // 2 ;
	midSum = ( mid * ( mid + 1 ) ) // 2 ;
	if ( ( totalSum - midSum ) <= S ) :
		return usingBinarySearch ( start , mid , N , S ) ;
	return usingBinarySearch ( mid + 1 , end , N , S ) ;
if __name__ == " _ _ main _ _ " :
	N = 5 ;
	S = 11 ;
	print ( N - usingBinarySearch ( 1 , N , N , S ) + 1 ) ;