human
Find N in the given matrix that follows a pattern | Function to return the row and the column of the given integer.
Binary search for the row number.
Condition to get the maximum x that satisfies the criteria.
Binary search for the column number.
Condition to get the maximum y that satisfies the criteria.
Get the row and the column number.
Return the pair.
Driver code"
Solution in Python:
 ... Write me a code to find N in the given matrix that follows a pattern and the other steps required?
assistant
#Here is code to find N in the given matrix that follows a pattern and the other steps required.
 def solve ( n ) :
	low = 1
	high = 10 ** 4
	x , p = n , 0
	while ( low <= high ) :
		mid = ( low + high ) // 2
		sum = ( mid * ( mid + 1 ) ) // 2
		if ( x - sum >= 1 ) :
			p = mid
			low = mid + 1
		else :
			high = mid - 1
	start , end , y , q = 1 , 10 ** 4 , 1 , 0
	while ( start <= end ) :
		mid = ( start + end ) // 2
		sum = ( mid * ( mid + 1 ) ) // 2
		if ( y + sum <= n ) :
			q = mid
			start = mid + 1
		else :
			end = mid - 1
	x = x - ( p * ( p + 1 ) ) // 2
	y = y + ( q * ( q + 1 ) ) // 2
	r = x
	c = q + 1 - n + y
	return r , c
n = 5
r , c = solve ( n )
print ( r , c )