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A questionnaire on popular singers has been filled by $200$ girls from a high-school. The girls had to mark the singers from three most popular (Justin Timberlake, Justin Bieber and Axl Rose) which they like. Justin Timberlake got $78$ votes, Justin Bieber got $75$ votes and Axl Rose $101$ votes. There were $28$ girls which voted for all three singers. There were $22$ girls which voted for two singers. One half of this amount are fans of the pair Bieber and Rose. The number of the girls which like only Justin Bieber is smaller by $7$ comparing to the number of girls which like only Justin Timberlake. How many girls did not like any of these three singers?