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Let a = 2 0 2 4 2 0 2 4 2 0 2 4 . When asked to evaluate a ( m o d

Let

a = 2024^{2024^{2024}} .

When asked to evaluate

a (m o d 1000),

my computer returned an

error message: Overflow

[] .

You

(

with the help of a modest calculator

)

can do better than my

computer: find the last three digits of the decimal representation of

a .

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