an event of Thanksgiving there is a feast organized for guests. The quantity of cake distributed among N guests is stored in an array plates. However, on the day of the feast additional guests arrived and the manager now has no other way but to reduce the quantity of cakes from these plates. He wants to save at least M kilograms of cake for the extra guests that came in$,$ but wants to reduce the quantity of cake only from those plates which have more than or equal to K kilograms of cake.

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$9$

$10$

$11$

$12$

$13$

You must help the manager to find and return the maximum value of K$,$ he can maintain after saving at least M kilograms of cake.

Input Specification:

input$1$: An integer value N$,$ representing the number of guests.

input$2$: An integer value M$.$ representing the minimum kilograms of cake that needs to be saved.

input$3$: An integer array plates, where each element represents quantity of cake in each guest's plate.

Output Specification:

Retum the maximum value of K after saving M kilograms of cake

Example $1$:

input $1$: $4$

input$2$: S

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