100000000

12345678 99999999100000000 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , , 9999999999 , 10000000000 {\color{#D61F06}{12345678\dots 99999999100000000}} \\ \ \\ {\color{#3D99F6}{1, 2, 3, 4, 5, 6, 7, 8, \dots, 9999999999, 10000000000}}

A A : The number of digits colored red.

B B : The number of 0s colored blue.

Which is bigger, A A or B B ?

Note : Write down the concatenate the positive integers in increasing sequence untill 1 0 8 10^8 colored red. Write down the positive integers in increasing sequence until 1 0 9 10^9 colored blue.

A > B A>B A = B A=B A < B A<B

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