Question: When was the release of the song "Monster" that was recorded by a South Korea boy band named Big Bang?

Context paragraphs:
Fiction and Fact: Fiction and Fact is the first full-length studio album of South Korea boy band Beast.  It was released in Korea on May 17, 2011 and contains 10 songs total: 8 new songs, an unplugged version of "Lightless" and an orchestra version of title track "Fiction".  The album peaked at number 1 on Gaon's Monthly Chart for May 2011 with 90,000 copies sold.  The album garnered them a win for Artist of the Year (Album) for the 2nd quarter of 2011 at the Gaon Chart K-Pop Awards and their title song, "Fiction", won Song of the Year at the 2011 KBS Music Festival.

Alive (EP): Alive is the fifth Korean-language extended play by South Korean group Big Bang.  It was released on February 29, 2012 by YG Entertainment.  Big Bang members G-Dragon and T.O.P wrote the music and lyrics, respectively, for nearly all tracks on the album.  The EP had three singles,"Blue", "Fantastic Baby", and "Bad Boy".  A repackaged version of the EP entitled "Still Alive" was released on June 3, 2012, and featured the single, "Monster".  Both EP versions and their singles achieved commercial success on music charts in South Korea, and the EP became the first K-Pop album to chart on the United States' "Billboard" 200.

List of Big Bang concert tours: South Korean boy band Big Bang have embarked on fifteen headlining concert tours, two of which have been worldwide, and five others that were in Japan.  The group made their headlining debut in December 2006 through their 1st Live Concert "The R.E.A.L".  Throughout their careers, they have held concerts both as a group and as solo artists.  In 2008, they went on their first Asian tour, visiting South Korea, Japan, Thailand, Singapore and Indonesia.  In 2009 and 2010, the band went on multiple tours, gathering around 150,000 fans from South Korea and Japan.  In 2011, after a two-year hiatus, the group released their EP "Tonight", and planned to support the album with a world tour.  However, multiple members encountered legal issues and the tour was cancelled.  They toured Japan and South Korea, with a total of 140,000 fans from 11 shows.

Daesung: Kang Dae-sung (Hangul: 강대성; born April 26, 1989), better known by his stage name Daesung, is a South Korean singer, actor and television host.  Daesung made his musical debut in 2006 as a member of the South Korean boy band Big Bang.  He debuted as a solo artist in South Korea under the group's record label YG Entertainment with the number one trot song "Look at Me, Gwisoon" in 2008.  Since the inception of the Gaon Digital Chart in 2010, Daesung achieved two Top 10 songs, the digital single "Cotton Candy" and "Wings" from the Big Bang album "Alive" (2012).

Monster (Big Bang song): "Monster" is a song recorded by South Korean group Big Bang.  It was released on June 3, 2012 by YG Entertainment as the only single from the repackaged version of their extended play "Alive", "Still Alive".

Second Live Concert: The Great: Second Live Concert: The Great is the second live album of South Korean boy band Big Bang, released by YG Entertainment on February 27, 2008.  This album was recorded during Big Bang's tour The G.R.E.A.T which was held at the Seoul Olympic Park in South Korea, from December 28 to 30, 2007.

Big Bang (South Korean band): Big Bang (Korean: 빅뱅 ) is a South Korean boy band formed by YG Entertainment.  With members G-Dragon, T.O.P, Taeyang, Daesung, and Seungri, they are often cited as one of the most influential acts to shape the K-pop industry, helping spread the Korean Wave internationally and gaining the honorific title "Kings of K-pop".  Their experimental and diverse use of music genres, personal involvement in producing their own records, and stage performances have been admired by music critics and served as influence to several K-pop and international artists.

Day by Day (Big Bang song): "Day by Day" (Korean: 하루하루 , Revised Romanization: "Haru Haru") is a song by South Korean boy band Big Bang.  Released through YG Entertainment on August 8, 2008 as the lead single for their third extended play "Stand Up", it became one of their most popular singles and one of South Korea's best-selling songs, besides being regarded as one of the most influential singles to come out of Korean pop music.  A Japanese version of the song was included in their third Greatest Hits album "The Best of Big Bang" (2011) and in the Japanese version of "Alive" (2012).

Made V.I.P Tour: The Made V.I.P Tour is the first Chinese fan meeting tour by South Korean boy band Big Bang, in support of their albums, "M", "A", "D" and "E" released in 2015.  The tour attracted over 500,000 people in Mainland China alone, breaking Big Bang's own record for the most attended tour by a foreign language act of all time in China.  Their event in Luoyang, China attracted over 45,000 people broke their previous record for the largest audience drawn by a foreign language act of all time in China.  Big Bang was the highest earning act in Mainland China from concert revenue in 2016, surpassing local acts like Jay Chou and Eason Chan, by earning 70.3 million USD from 36 concerts, accounting for 70% of the total box office of South Korean acts in China.

Bae Bae: "Bae Bae" is a song recorded by South Korean boy band Big Bang.  It was released digitally on May 1, 2015 by YG Entertainment, as the first single from "Made", being included in the single album "M", the first music release alongside "Loser" for the band since "Still Alive" (2012).  Written and produced by G-Dragon, Teddy and T.O.P, "Bae Bae" was noted for its sexual lyrics and music video.  The song finished 2015 as the fourth best performing song of the year on the Gaon Digital's year-end chart, making Big Bang the first act to have three songs in the Top 5 year-end chart.

Supporting paragraphs: Monster (Big Bang song) Big Bang (South Korean band)
Answer: June 3, 2012