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> Logic> Probability> Shapes (1)> General
> Numbers (1)> Games> Paradoxes> Riddles
> Just Math (1)> Science> Algorithms
Circles P and Q have radii 1 and 4 respectively and are externally tangent at point A. Point B is on P and point C is on Q such that BC is a common external tangent of the two circles. A line L through A intersects P again at D and intersects Q again at E. Points B and C lie on the same side of the line L and the areas of triangle DBA and triangle ACE are equal. Find this common area.
(No Solution Yet, 1 Comments) Submitted on 2016-11-19 by Danish Ahmed Khan   
Difficulty: 5 of 5 Bonus: PGKKW XIMAF TNEGA NFYGZ TMUIV (in Cryptography) Rating: 4.11
WATAE TXLAL PDIBI MGTBU YBTMM FJBJW KBEIZ SGLZQ CCOCT XMQHM QSLFS
AOBFX QQRCK CJSME XFHLT GYSJN QEQUM FNPIZ ZMCWE PXQOD UIDLO SXLCV
CGIWI UIVYC HLYAE TKYKY RVOVZ FJWAR RCYCN SSJNN ADVZB BMQJQ UVGKC
UCPVN BGRZA EVOMF THBSK OZUYQ QDGUO FUIAT XOWPN QESJM MUHHU XBTMM
NYGYF YFNFH VIATB UOHPD QVJAT AEYLT MQTLE EXBTH MMYCT BDDAX
Determine what this cipher says, and the method of encryption, using the following hints:
  • It is not a simple substitution cipher.
  • Both the original plain text message and the encrypted message contain 270 characters (maybe with meaningless filler characters at the end).
  • Only one rather simple method of encryption has been used.
  • The encryption method is fairly robust. In other words, an error (while encrypting or decrypting) does not scramble the entire remaining message. Some very complicated ciphers have this problem.
  • In the encrypted text, M and T appear most often, and R appears least often (I do not think these facts help at all).
  • Both the original plain text and the encrypted message read from left to right.
  • You might be able to guess the full text after determining only the first three words.
(Solution Posted, 20 Comments) Submitted on 2003-12-05 by DJ   
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