At December $31,2022,$ Flint Inc. had $514000$ common shares outstanding $($no preferred shares issued$).$ On July $1,2023,$ an additional $51400$ common shares were issued. Flint also had unexercised call options to purchase $41120$ common shares at $$20$ per share outstanding throughout $2023.$ The average market price of Flint's common shares was $$25$ during $2023.$ What is the number of shares that should be used in calculating diluted earnings per share for $202\mathrm{3?}$

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