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Dat Do edited beginproblem_Alices_.tex
about 10 years ago
Commit id: 65355ca003e80971ad2ad20b0b5e20f769262832
deletions | additions
diff --git a/beginproblem_Alices_.tex b/beginproblem_Alices_.tex
index 0b83b98..8c29147 100644
--- a/beginproblem_Alices_.tex
+++ b/beginproblem_Alices_.tex
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\\Computing the first letter, $11^{37} (mod\: 77)$
\\$11*11^{36} (mod\: 77)$
\\$11*121^{18} (mod\: 77)$
\\$11*(44^2)^{9} (mod\: 77)$
\\$11*11^9 (mod\: 77)$
\\$11*11*11^8 (mod\: 77)$
\\$11*11*121^4 (mod\: 77)$
\\$11*11*(44^2)^2 (mod\: 77)$
\\$11*11*11^2 (mod\: 77)$
\\$11*11*44 (mod\: 77)$
\\$121*44 (mod\: 77)$
\\$44*44 (mod\: 77)$
\\$=11 (mod\: 77)$
\\The first letter is $11$ or G.