Puzzle

A puzzle given by an office-mate:

There is a polynomial \(p(x) = a_0 + a_1x + a_2x^2 + \dots+a_nx^n\) where \(a_0, a_1, \dots, a_n \in \mathbb{Z}^+\). Knowing only \(n\), you may query the value of \(p(x)\) for any \(x\). The goal is to recover the coefficients with minimal queries.

Cosmos: A Spacetime Odyssey

傳說中在 imdb 得到很高排名, 最特別的它是紀錄片! (紀錄片在 imdb 也可以 9+ 分一定不簡單)

source: wikipedia

很大程度上歸功於取代了一般紀錄片的 "某專家坐在 office 俾 speech 的場面" 而是用 CGI/片作為背景

P.S. host 坐的那 spaceship 非常似 Tardis, 而且經常出現 "travel through time and space", 很難不聯想起 Doctor Who 啊