MERLIN AND TELEPHONES

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Merlin, the young wizard working for the Ministry of Welfare of the Non-Wizarding Community, wants to start a telephone service providing business for the betterment of the non-wizarding community, as her first welfare scheme. She is receiving orders from different cities in form of two integers $a$ and $b$ where the city has $a$ telephones and the ministry of welfare wants that each telephone in

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