Question: "Guilty" by the band Blue was co-written by a "The X Factor UK" judge that is a lead singer for what pop group?

Context paragraphs:
Annastasia Baker: Annastasia Anneve Baker (born 16 November 1988) is a British Gospel singer, and song writer, Annastasia first caught the public eye as a contestant who progressed into the top six female singers in the judges round of the 2008 edition of The X Factor (UK series 5).  Undeterred by not getting past this stage, Annastasia subsequently auditioned for the X Factor 2010 series, The X Factor (UK series 7) and once again made it to the judges round.

Eoghan Quigg: Eoghan Karl Christopher Quigg (pronounced "Owen", born 12 July 1992) is a pop singer from Dungiven, Northern Ireland, who finished third in the fifth series of the British television music talent contest "The X Factor" in 2008.  As a result of his "X Factor" success, Quigg was due to be signed by Simon Cowell, "X Factor" creator/producer and owner and CEO of Syco Records, but was instead signed to RCA after Cowell pulled out.  Quigg released an eponymous studio album in 2009, to strongly negative reviews.  Quigg competed in the Irish national selection for the chance to represent Ireland in 2014 at the Eurovision Song Contest but finished second.

All or Nothing (O-Town song): "All or Nothing" is a song by American boy band O-Town.  The pop ballad was written by Wayne Hector and Steve Mac, and produced by Mac.  It was released in July 2001 as the second single from their debut album "O-Town".  The song reached number 5 in Canada, number 3 in the United States, and number 4 in the United Kingdom.  In 2006, Irish boy band Westlife recorded a cover version on their seventh studio album, "The Love Album" - to which is used extensively as background music during the audition stages of "The X Factor UK".

Gary Barlow: Gary Barlow OBE (born 20 January 1971) is an English singer, songwriter and record producer.  He is frontman and lead vocalist of British pop-group Take That.  Barlow also served as head judge of "The X Factor UK" from 2011 to 2013 and "Let It Shine" in 2017.  Barlow is one of Britain's most successful songwriters, having written fourteen number one singles and twenty-four top 10 hits.  He has had three number one singles, six top 10 singles and two number one albums as a solo artist, and has had seventeen top 5 hits, twelve number one singles and seven number one albums with Take That.  He is also a six-time recipient of the Ivor Novello Award and has sold over 50 million records worldwide.

Only the Young (band): Only the Young were an English pop group consisting of Mikey Bromley, Betsy-Blue English, Charlie George and Parisa Tarjomani.  They were created and managed by Jo Perry.  The group previously featured George Shelley, who auditioned for ninth series of "The X Factor" as a soloist who was later added to Union J who made the live shows, eventually finishing in fourth place in the semi-final.  This was when Shelley was later replaced by Bromley.  In 2014, Only the Young entered the eleventh series of "The X Factor" and made the live shows, where they finished in seventh place.

List of The X Factor finalists (UK series 8): The eighth UK series of "The X Factor" was broadcast on ITV from 20 August 2011, with the live shows starting on 8 October 2011.  Girl group Little Mix were the winners, and the runner-up was Marcus Collins.  After "The X Factor", several of the contestants went on to release singles, including Little Mix, Collins, Amelia Lily, Misha B, Frankie Cocozza, The Risk and 2 Shoes.  On 25 July 2013, three contestants from series 8 - Little Mix, Amelia Lily and Misha B - were included in the (three-minute 41-second) X Factor Ultimate Mash-Up, a video trailer for series 10, a selection of 13 tracks and artists chosen to represent a decade of 'The X Factor' artists impact on the UK national chart.

Guilty (Blue song): "Guilty" is a 2003 single by the British boy band Blue from their third album of the same name.  It reached a peak position of No. 2 on the UK Singles Chart and placed within the top 40 in many other countries.  It was co-written by Gary Barlow, singer-songwriter from the popular boyband Take That.

X Factor Around the World: X Factor Around the World is the 24th anniversary television special of RCTI, joining four continents' biggest versions of "The X Factor" reality singing competition—"X Factor Indonesia" (Asia), "The X Factor USA" (America), "The X Factor UK" (Europe) and "The X Factor Australia" (Australia).  The show was originally aired on 24 August 2013 in Indonesia and featured performances by six winners and runners-up: Melanie Amaro, Samantha Jade, The Collective, Jahmene Douglas, Fatin Shidqia, Novita Dewi.

The X Factor: Battle of the Stars: The X Factor: Battle of the Stars was a UK celebrity special edition of "The X Factor", which screened on ITV, started on 29 May 2006 and lasting for eight consecutive nights. " Pop Idol" was meant to air in its place as "Celebrity Pop Idol" but was stopped shortly before transmission, when ITV picked "The X Factor" over it.

X Factor (Albanian TV series): X Factor Albania is the Albanian version of "The X Factor", adapted from the original UK series to find new singing talent.  The first season started in January 8, 2012, and it is broadcast by TV Klan.  The judges are: Albanian singer from Macedonia Altuna Sejdiu, Albanian singer Soni Malaj, Albanian superstar Alban Skënderaj, and the famous composer Pandi Laço.  The show is hosted by Alketa Vejsiu.  She applied to acquire the rights of the show along with Top Channel and TV Klan.  Syco TV gave the rights to her, then she sold parts of the rights to TV Klan.  After losing the rights of "The X Factor", Top Channel acquired the rights of the talent show, "The Voice".

Supporting paragraphs: Guilty (Blue song) Gary Barlow
Answer: Take That