Find the number of distinct values of this expression:
⌊N/4⌋ - ⌊N/7⌋ - ⌊N/14⌋ - ⌊N/28⌋
Notes:
1) ⌊x⌋ is the floor of x, which is the greatest integer less than or equal to x.
2) Adapted from a problem appearing in Singapore Mathematical Olympiad, Junior 2022.
This is a complex symmetric polynomial system. If
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>A</mi><mo separator="true">,</mo><mi>B</mi><mo separator="true">,</mo><mi>C</mi></mrow><annotation encoding="application/x-tex">A, B, C</annotation></semantics></math>A,B,C were real and roughly equal, we could approximate
Football Bros Game them and calculate the result numerically.
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