Question: Who was the writer of the song by The Beatles which is included in the  De Volta Ao Planeta Dos Mutantes?

Context paragraphs:
2013 Volta ao Algarve: The 2013 Volta ao Algarve was the 39th edition of the Volta ao Algarve cycling stage race.  It was rated as a 2.1 event on the UCI Europe Tour, and was held from 14 to 17 February 2013, in Portugal.

2012 Volta ao Algarve: The 2012 Volta ao Algarve was the 38th edition of the Volta ao Algarve cycling stage race.  It was held from 15–19 February 2012, and was rated as a 2.1 event on the UCI Europe Tour.

2014 Volta ao Algarve: The 2014 Volta ao Algarve was the 40th edition of the Volta ao Algarve cycling stage race.  It was rated as a 2.1 event on the UCI Europe Tour, and was held from 19 to 23 February 2014, in Portugal.

2016 Volta ao Algarve: The 2016 Volta ao Algarve was a road cycling stage race that took place in the Algarve region of Portugal between 17 and 21 February 2016.  It was the 42nd edition of the Volta ao Algarve and was rated as a 2.1 event as part of the UCI Europe Tour.

Lady Madonna: "Lady Madonna" is a song by the Beatles, written by Paul McCartney and credited to Lennon–McCartney.  In March 1968, it was released as a single, backed with "The Inner Light".  The song was recorded on 3 and 6 February 1968 before the Beatles left for India.  This single was the last release by the band on Parlophone in the United Kingdom, where it reached number 1 for the two weeks beginning 27 March, and Capitol Records in the United States, where it debuted at number 23 on the "Billboard" Hot 100 for the week ending 23 March and reached number 4 from the week ending 20 April through the week ending 4 May.  All subsequent releases, starting with "Hey Jude" in August 1968, were released on their own label, Apple Records, under EMI distribution, until the late 1970s, when Capitol and Parlophone re-released old material.

2011 Volta ao Algarve: The 2011 Volta ao Algarve was the 37th edition of the Volta ao Algarve cycling stage race.  It was held from 16–20 February 2011, and was rated as a 2.1 event on the UCI Europe Tour.  Just like the previous year, it started at the Algarve Stadium in Faro and ended with an individual time trial in Portimão.

2010 Volta ao Algarve: The 2010 Volta ao Algarve was the 36th edition of the Volta ao Algarve cycling stage race.  It was held from 17–21 February 2010, and was rated as a 2.1 event on the UCI Europe Tour.  It started at the Algarve Stadium in Faro and ended with an individual time trial in Portimão.

De Volta Ao Planeta Dos Mutantes: De Volta Ao Planeta Dos Mutantes is a two disc best of compilation that includes popular and lesser known tracks from Os Mutantes first five albums, "O A e o Z", "Tecnicolor", and "A Banda Tropicalista do Duprat" by Rogério Duprat which includes a cover of The Beatles' "Lady Madonna".  The album also includes a few previously unreleased tracks.

2017 Volta ao Algarve: The 2017 Volta ao Algarve was a road cycling stage race that took place in the Algarve region of Portugal between 15 and 19 February 2017.  It was the 43rd edition of the Volta ao Algarve and was rated as a 2. HC event as part of the 2017 UCI Europe Tour.

2015 Volta ao Algarve: The 2015 Volta ao Algarve was the 41st running of the Volta ao Algarve road cycling stage race.  It was rated as a 2.1 event on the UCI Europe Tour and took place from 18 to 22 February 2015 in the Algarve region of Portugal.

Supporting paragraphs: De Volta Ao Planeta Dos Mutantes Lady Madonna
Answer: Paul McCartney