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fix: correct sign errors in putnam_like Set_6/A1 grading_scheme.md#4

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fix: correct sign errors in putnam_like Set_6/A1 grading_scheme.md#4
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Ashutosh0x:fix/issue-2-set6-a1-sign-errors

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Fixes #2

Problem

The grading scheme for putnam_like_set6_a1 contains incorrect signs in lines 24 and 28.

By Vieta's formulas for $x^3 + ax^2 + bx + c = (x-\alpha)(x-\beta)(x-\gamma)$:

  • $\alpha+\beta+\gamma = -a$
  • $\alpha\beta+\beta\gamma+\alpha\gamma = b$

Computing $-A = \alpha^2+\beta^2+\gamma^2$:

$$-A = (\alpha+\beta+\gamma)^2 - 2(\alpha\beta+\beta\gamma+\alpha\gamma) = (-a)^2 - 2(b) = a^2 - 2b$$

The file incorrectly had $a^2 + 2b$ instead of $a^2 - 2b$.

Changes

  • Line 24: a^2+2ba^2-2b
  • Line 28 (answer): a^2+2ba^2-2b

…ixes google-deepmind#2)

Fix incorrect signs in Vieta's formula expansion:
- Line 24: a^2+2b -> a^2-2b (since (-a)^2 - 2b = a^2 - 2b)
- Line 28: updated final answer to match corrected computation
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putnam_like_set6_a1 - mistake in grading_scheme.md

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