Linearizing 2-d indexing to 1-d indexing

generator.py

xvals = [1,2,3]
yvals = [1,2,3,4]
for x in xvals:
	for y in yvals:
		# First, 0-indexing is better for the soul
		i = x-1
		j = y-1
		# Next, the formula to linearize the 2-d indexing to 1-d indexing
		x_extent = len(xvals)
		k = x_extent*j + i
		# Finally, because 1-indexing is what you're asking for
		z = k+1
		print(f'The boxed number in location ({y},{x}) is {z})')

output.txt

The boxed number in location (1,1) is 1)
The boxed number in location (2,1) is 4)
The boxed number in location (3,1) is 7)
The boxed number in location (4,1) is 10)
The boxed number in location (1,2) is 2)
The boxed number in location (2,2) is 5)
The boxed number in location (3,2) is 8)
The boxed number in location (4,2) is 11)
The boxed number in location (1,3) is 3)
The boxed number in location (2,3) is 6)
The boxed number in location (3,3) is 9)
The boxed number in location (4,3) is 12)

xvals = [1, 2, 3]
yvals = [1, 2, 3, 4]
for y in yvals:
    for x in xvals:
        # First, 0-indexing is better for the soul
        i = x - 1
        j = y - 1
        # Next, the formula to linearize the 2-d indexing to 1-d indexing
        x_extent = len(xvals)
        k = x_extent * j + i
        # Finally, because 1-indexing is what you're asking for
        z = k + 1
        print(f'The boxed number in location ({y},{x}) is {z})')

Outputs:

The boxed number in location (1,1) is 1)
The boxed number in location (1,2) is 2)
The boxed number in location (1,3) is 3)
The boxed number in location (2,1) is 4)
The boxed number in location (2,2) is 5)
The boxed number in location (2,3) is 6)
The boxed number in location (3,1) is 7)
The boxed number in location (3,2) is 8)
The boxed number in location (3,3) is 9)
The boxed number in location (4,1) is 10)
The boxed number in location (4,2) is 11)
The boxed number in location (4,3) is 12)