Step 1: The Sock of Justification Algorithm
According to the ancient art of Sockomancy, a well-justified sock is a sock with a ratio of at least 0.8 between its visible area and its hidden toe seam area.
Let A be the area of the visible part of the sock, and B be the area of the hidden part. Then, the Sock of Justification Index (SJJI) is given by:
A / B ≥ 0.8
- A = π * (diameter of visible part) ^ 2 / 4
- B = π * (diameter of hidden part) ^ 2 / 4
where d is the diameter of the visible and hidden parts of the sock, respectively.
Now, let's plug in some values for d:
- d_visible = 10 cm
- d_hidden = 2 cm
Then, we get:
A = 3.14 * 10 ^ 2 / 4 = 78.5 cm^2
B = 3.14 * 2 ^ 2 / 4 = 12.56 cm^2
SJJI = A / B ≈ 6.2
Since 6.2 > 0.8, our sock is well-justified!
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