javascript - Mathemmatical formula for incremental breakdowns -

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i have dialog displays buttons according users settings. want have buttons layed out in best sequence of rows of 6. meaning, if user entered 1-6 entries, there should 1 row of 6 buttons. if entered 7 entries, shouldn't 6 on row 1 , 1 on row 2, rather, 4 on row 1 , 3 on row 2. if entered 8, should have 4 buttons on each row , on.....

being seasoned developer, feel little dumb this.... having difficulty figuring out correct method of finding out these numbers programmatically.

if can me appreciate it

thanks, david

if a / b integer division , a % b remainder of division of a b, need

rows = (buttons + 5) / 6

rows of buttons. can divide number of rows find best partitioning. if want minimize absolute difference of row lengths, i-th line (zero-based) example contain

buttons_in_line[i] = buttons / rows + (i < buttons % rows ? 1 : 0)

buttons. e.g. 22 buttons following layout:

# # # # # # # # # # # # # # # # # # # # # #

or 19 buttons:

# # # # # # # # # # # # # # # # # # #

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