Problem 480. Aufbau principle

AMITAVA BISWAS

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Given the order e=[1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p], find a vector x with these conditions:
sum(x)==sumofx
length of x is the shortest possible
x has positive integers only
if e(k) contains s,p,d,f,g, then x(k) must be less than 3,7,11,15,19, respectively
if x(k+1)>0 then x(k) must be maximum possible.
For example, if sumofx=3 then x=[2 1]. Return x embedded in e in the following style: electrons='1s2,2s1'. Please see more info: Aufbau Principle, Electron Shell.

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Last Solution submitted on Jan 02, 2026

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3 Comments

Alfonso Nieto-Castanon on 12 Mar 2012

should not sumofx be 6 for test 2?

AMITAVA BISWAS on 12 Mar 2012

yes, corrected, thanks

Christian Schröder on 2 Dec 2025

The element in the last test case is calcium, not chlorine.

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