Does a Seven-Segment LED Digit Display Read the Same Rotated 180 Degrees?

An LED display shows a row of digits from 0 to 9, one digit per seven-segment cell. Write a function that decides whether the display reads exactly the same after the whole display is rotated by 180 degrees.

Function Signature

def looks_same_after_rotation(digits: list[int]) -> bool:

Rules

• Each cell has seven segments: a (top), b (upper right), c (lower right), d (bottom), e (lower left), f (upper left) and g (middle).
• The digits light these segments:

• Rotating the display by 180 degrees reverses the left-to-right order of the cells, and inside every cell it moves segment a to d, d to a, b to e, e to b, c to f, f to c, and leaves g in place.
• Return True if and only if, after the rotation, every cell shows exactly the same set of lit segments as the cell in that position showed before. A rotated cell whose segment pattern is not one of the ten digits above can never match.

Constraints

• 1 <= len(digits) <= 10^5
• 0 <= digits[i] <= 9

Examples

Example 1

• Input: digits = [6, 0, 9]
• Output: True
• Explanation: After rotation the cells appear in reverse order, and each rotated cell shows: 9 becomes 6, 0 stays 0, 6 becomes 9. The display reads 6, 0, 9 again.

Example 2

• Input: digits = [8, 1, 8]
• Output: False
• Explanation: The 1 lights segments b and c; rotated, it lights e and f, which is a bar on the left side of the cell and not the pattern for 1.

Example 3

• Input: digits = [2, 5]
• Output: False
• Explanation: Each of 2 and 5 looks like itself after rotation, but the cell order is reversed, so the display reads 5, 2.