In this task, you're given a passage, further information available on a particular linked term from the statement, and a question. Your job is to generate the answer to the question by using the information provided. If there is no clear answer obtainable, output 'none'.

Passage: Midori gave her first public performance at the age of six, playing one of the 24 Caprices of Paganini in her native Osaka. In 1982 she and her mother moved to New York City, where Midori started violin studies with Dorothy DeLay at Pre-College Division of Juilliard School and the Aspen Music Festival and School. As her audition piece, Midori performed Bach's thirteen-minute-long Chaconne, generally considered one of the most difficult solo violin pieces. In the same year, she made her concert debut with the New York Philharmonic under Zubin Mehta, a conductor with whom she would later record on the Sony Classical label. In 1986 came her legendary performance of Leonard Bernstein's Serenade at Tanglewood, conducted by Bernstein. During the performance, she broke the E string on her violin, then again on the concertmaster's Stradivarius after she borrowed it. She finished the performance with the associate concertmaster's Guadagnini and received a standing ovation. The next day The New York Times front page carried the headline, "Girl, 14, Conquers Tanglewood with 3 Violins".
Link Information: Mehta was music director of the Montreal Symphony Orchestra from 1961 to 1967 and of the Los Angeles Philharmonic Orchestra from 1962 to 1978 Question: When did the conductor at Midori's concert debut begin conducting the New York Philharmonic?
Answer: 1962