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Home » Solution: Let us define a function $ f(u) $ such that - Aurero

Solution: Let us define a function $ f(u) $ such that - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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Then $ 52500 - 52496 = 4 $, so remainder is $ 4 $?
Wait—error: $ 16 \cdot 3281 $:
$ 10 \cdot 3281 = 32810 $, $ 6 \cdot 3281 = 19686 $, total $ 32810 + 1...
But $ 52496 $, $ 52500 - 52496 = 4 $? So remainder is 4?
But earlier modular computation gave 12. Contradiction.
Recheck: $ 5000 \mod 16 $:
$ 16 \cdot 312 = 5016 $, too big.
Try: $ 10^3 = 1000 $, $ 1000 \mod 16 $:
$ 16 \cdot 62 = 992 $, $ 1000 - 992 = 8 $, so $ 1000 \equiv 8 \pmod{16...
Then $ 1000 \equiv 8 $, so $ 5000 = 5 \cdot 1000 \equiv 5 \cdot 8 = 40...

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