Question: Skylar Grey (formerly Holly Brook), co-wrote three versions of what song that was later recorded by American rapper Eminem?

full_context: Document 1: No Love: "No Love" is a song by American rapper Eminem, and was released as the third official single from his seventh album, "Recovery" (2010). The song features American rapper Lil Wayne. It impacted radio on October 5, 2010. "No Love" was produced by American hip hop record producer Just Blaze. The song samples "What Is Love" by Haddaway. It features the chorus of the song as the backing vocals. It was very well received for sampling and some considered it to be one of the best songs from "Recovery". "No Love" reached number 23 on the "Billboard" Hot 100. It has sold more than a million digital downloads in the United States. It was ranked the 8th best song of 2010 by complex.
Document 2: Skylar Grey: Holly Brook Hafermann (born February 23, 1986), who goes by the stage name Skylar Grey, is an American singer and songwriter from Mazomanie, Wisconsin. In 2004, under the pseudonym Holly Brook, at the age of 17, she signed a publishing deal with Universal Music Publishing Group and a recording contract with Linkin Park’s Machine Shop Recordings imprint. In 2006, she also released her debut album, "Like Blood Like Honey", under the aforementioned labels.
Document 3: Hate That I Love You: "Hate That I Love You" is a song recorded by Barbadian singer Rihanna for her third studio album, "Good Girl Gone Bad" (2007). It features vocals by American singer and songwriter Ne-Yo, who co-wrote the song with its producers StarGate. Def Jam Recordings released the song on August 21, 2007, as the third single from "Good Girl Gone Bad". A Spanglish version featuring David Bisbal was made available on April 28, 2008. "Hate That I Love You" is a mid-tempo R&B song about the power of love, with influences of folk music. "Hate That I Love You" received generally positive reviews from critics, many of whom compared it to previous works by Ne-Yo.
Document 4: List of songs recorded by Nicki Minaj: American rapper Nicki Minaj has recorded songs for three studio albums, one re-issue and three mixtapes, some of which were collaborations with other performers. Her debut album, "Pink Friday", was released in November 2010. "Your Love" was released as the lead single; it contains a sample of British singer-songwriter Annie Lennox's song "No More I Love You's". Minaj wrote the songs "Roman's Revenge" (which features American rapper Eminem) and "Here I Am" in collaboration with producer Swizz Beatz. "Roman's Revenge" references both artists' alter-egos, Roman Zolanski for Minaj and Slim Shady for Eminem. She co-wrote the song "Did It On'em" with Grammy Award-winning American producer Bangladesh, alongside Justin Ellington and Safaree Lloyd Samuels. Minaj and J. R. Rotem worked together on the seventh and eighth single releases "Girls Fall Like Dominoes" and "Fly", which features Bajan recording artist Rihanna. On "Girls Fall Like Dominoes", Minaj raps about how she can steal fans from male artists in the music industry, specifically Lil Wayne and Drake. Rihanna's contribution to the "inspirational" ballad "Fly" was added at Minaj's request, as noted by Jayson Rodriquez writing for MTV News. Andrew "Pop" Wansel and Warren "Oak" Felder co-wrote three tracks with Minaj, including "Your Love", "Save Me" and "Muny".
Document 5: No Love Allowed: "No Love Allowed" is a song recorded by Barbadian singer Rihanna for her seventh studio album, "Unapologetic" (2012). The singer co-wrote the track together with Sean "Elijah Blake" Fenton, Alexander Izquierdo, Steve Wyreman and Ernest Wilson, who produced it under his production name No I.D.. Kuk Harrell and Marcos Tovar recorded the song at Record One Studios and Westlake Recording Studios in Los Angeles and Metropolis Studios in London; Harrell also did the vocal production. "No Love Allowed" is a electro-ragga and reggae song with an instrumentation consisting of a bubbly, dubbed-out groove, Caribbean and dubstep beat and loping drumless rhythms.
Document 6: The Monster (song): "The Monster" is a song by American rapper Eminem, featuring guest vocals from Barbadian singer Rihanna, taken from Eminem's album "The Marshall Mathers LP 2" (2013). The song was written by Eminem, Jon Bellion, and Bebe Rexha, with production handled by Frequency. "The Monster" marks the fourth collaboration between Eminem and Rihanna, following "Love the Way You Lie", its sequel "Love the Way You Lie (Part II)" (2010), and "Numb" (2012). "The Monster" was released on October 29, 2013, as the fourth single from the album. The song's lyrics present Rihanna coming to grips with her inner demons, while Eminem ponders the negative effects of his fame.
Document 7: Like Blood Like Honey: Like Blood Like Honey is the debut studio album by American singer-songwriter Skylar Grey, then known as Holly Brook. It was released by Warner Bros. Records on May 23, 2006. The album peaked at number 26 on "Billboard"'s Heatseekers Albums chart.
Document 8: Skylar Grey discography: The discography of Skylar Grey (formerly Holly Brook), an American singer-songwriter consists of three studio albums, five extended plays (EPs), 21 singles (including nine as a featured artist) and 14 music videos. Grey was signed to Machine Shop Recordings under the name Holly Brook. She released her debut album "Like Blood Like Honey" in 2006, but was released from her contract after it did not perform commercially. She began working under the name Skylar Grey in 2010, co-writing the three versions of "Love the Way You Lie" with Alex da Kid, who signed her to his Wonderland Music (now KIDinaKORNER) label.
Document 9: Love the Way You Lie (Part II): "Love the Way You Lie (Part II)" is a song by Barbadian singer Rihanna from her fifth studio album "Loud" (2010). It features guest vocals from American rapper Eminem, who wrote the song alongside Skylar Grey and the producer Alex da Kid. It is the sequel to the 2010 hit single "Love the Way You Lie", which appears on Eminem's seventh studio album "Recovery". It received positive reviews from critics and was performed for at the American Music Awards of 2010 on November 21, 2010, as part of a medley with "What's My Name?" and "Only Girl (In the World)".
Document 10: Lana Del Rey discography: American singer and songwriter Lana Del Rey has released five studio albums, four extended plays, 20 singles, and 16 music videos. Lana Del Rey signed a record deal with 5 Points Records in 2007 and the following year, she released her debut EP, "Kill Kill", under the stage name Lizzy Grant. Her debut studio album, "Lana Del Ray", was shelved initially and was released in January 2010 under the name Lana Del Ray. However, the record was pulled three months later.
Document 11: Natural Causes (Skylar Grey album): Natural Causes is the third studio album by American recording artist Skylar Grey. It is her second album since her stage name change from Holly Brook to Skylar Grey. It was released on September 23, 2016, by KidinaKorner and Interscope Records.
Document 12: List of songs recorded by Lana Del Rey: American singer and songwriter Lana Del Rey has recorded songs for five studio albums, three extended plays (EPs), as well as guest features. Her debut EP "Kill Kill" (2008) was released by 5 Points Records under her birth name Elizabeth "Lizzy" Grant; its tracks "Kill Kill" and "Yayo" were written solely by Grant, while the remaining song "Gramma (Blue Ribbon Sparkler Trailer Heaven)" was co-written by Grant and David Kahne. She assumed the stage name Lana Del Ray for her debut studio album "Lana Del Ray" (2010) and wrote the majority of the record by herself, although Kahne is credited with co-writing four tracks on the project.
Document 13: T.I. discography: American rapper T.I. has released nine studio albums, one remix album, five extended plays (EPs), 13 mixtapes, 110 singles (including 61 as a featured artist) and 11 promotional singles. He has also released one music video album and over 60 music videos, the details of which are included in his videography. Throughout his career, T.I.'s music has been released on several record labels, including Artista and Atlantic, as well as his own label imprint, Grand Hustle Records. T.I. has also served as an executive producer for several projects other than his own, including Big Kuntry King's debut "My Turn to Eat" (2008), B.G.'s "Too Hood 2 Be Hollywood" (2009), B.o.B's debut "The Adventures of Bobby Ray" (2010) and Iggy Azalea's debut EP "Glory" (2012), as well as her debut album "The New Classic" (2014). In 2005, T.I. had executive produced the soundtrack to the film "Hustle & Flow" and released the collection through his record label. T.I. is also a noted record producer, having produced several song recordings, a few under the pseudonym T.I.P.. He has also served as a ghostwriter and assisting songwriter, for several artists, such as Bow Wow, Sean "Diddy" Combs, Dr. Dre, Bun B and Keyshia Cole.
Document 14: Love the Way You Lie: "Love the Way You Lie" is a song recorded by the American rapper Eminem, featuring the Barbadian singer Rihanna, from Eminem's seventh studio album "Recovery" (2010). The singer and songwriter Skylar Grey wrote and recorded a demo of the song alongside the producer Alex da Kid when she felt she was in an abusive romantic relationship with the music industry. Eminem wrote the verses and chose Rihanna to sing the chorus, resulting in a collaboration influenced by their past experiences in difficult relationships. Recording sessions were held in Ferndale, Michigan, and Dublin, Ireland. Backed by guitar, piano and violin, the track is a midtempo hip hop ballad with a pop refrain, sung by Rihanna, and describes two lovers who refuse to separate despite being in a dangerous love–hate relationship.
Document 15: Cold Case Love: "Cold Case Love" is a song recorded by Barbadian singer Rihanna for her fourth studio album, "Rated R" (2009). It was written and produced by The Y's (Justin Timberlake, Robin Tadross and James Fauntleroy II). Following Chris Brown's assault on Rihanna, she started working on the sound of her new album. Timberlake who co-wrote "Cold Case Love" labeled the sound of Rihanna's new project as a step forward for the singer. In February 2010, Rihanna admitted that the song's lyrics are about her complicated relationship with Brown.
ground_truth: Love the Way You Lie