Problem 61006. Shapiro Polynomials

Created by Dyuman Joshi

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Given an order n, return the coefficients of 1st Shapiro polynomials Pn(x) - 
%Example
P1(x) = x + 1 => Output = [1 1];
P3(x) = x^7 - x^6 + x^5 + x^4 - x^3 + x^2 + x + 1 => Output = [1 -1 1 1 -1 1 1 1];

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Last Solution submitted on Sep 22, 2025

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Christian Schröder on 19 Sep 2025 at 18:50

Are you sure the test suite's expected results for for n=4 and n=5 are correct? I'm getting different values. Furthermore, the test suite's expected result for n=3 (correct) appears to contradict the problem description (incorrect).

Matthew on 19 Sep 2025 at 20:12

I agree with Christian, test cases 4 and 5 seem to be incorrect.

Dyuman Joshi on 20 Sep 2025 at 3:28

Yes, the test suite was incorrect - I seem to have used the coefficients starting from the (2^n)th power.

The error has been rectified (including the typo in description) and both of your solutions have been rescored and accepted. Do rate the problem!

Christian Schröder on 20 Sep 2025 at 7:13

Excellent, thanks for the quick fix, Dyuman!

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Problem 61006. Shapiro Polynomials

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Problem 61006. Shapiro Polynomials

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Last 200 Solutions

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Problem Recent Solvers5

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