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 Jan 26, 2026

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Christian Schröder on 19 Sep 2025

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 Bolyard on 19 Sep 2025

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

Dyuman Joshi on 20 Sep 2025

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

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 Solvers8

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