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Puzzle 29.
THE THREE KNIGHTS
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During
the age of the medieval empires, when knights and barbarians fought
against each others, a man was captured and sentenced to death for allegedly
befriending barbarians. The king, however,
wanted to give him another chance. The king ordered him to his presence
and ask him to choose one of the three knights present. One of the knights
is the Knight of Life, and he always tells the truth. The second Knight is
the Knight of Death, and he always tells lies. The third knight is the
Knight of the Dungeon. He sometimes lies and sometimes tells the
truth. If
the man chooses the Knight of Death, he is to be executed before sunset.
If he chooses the Knight of Life, he would be acquitted and set free right away.
If he chooses the Knight of the Dungeon, he would spend the rest of
his life imprisoned in the Dungeon. This is the first time the man ever
saw these knights and could not recognize them. However, the man is
allowed to ask these three knights one question each. Thus, the man asked
the red hair knight, "What is the name of this blond hair
knight?" The reply was "He is the Knight of the
Life." He asked the black hair knight, "What is the name
of this blond hair knight?" The reply was "He is the Knight of
Death." Then he asked the blond hair knight "Who are
you?" "I am the Knight of the Dungeon" was the reply.
Luckily, the man was able to correctly choose the Knight of Life, and was
set free immediately. Can you identify who was the Knight of Life, and
also who the other two knights were?
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Bits and Beyond...
FERMAT'S LAST THEOREM
Fermat's Last Theorem is one of the famous problems of Mathematics.
This problem was formulated by Pierre de Fermat before his death. He
was a lawyer by profession, who enjoyed spending his leisure time studying
mathematics. This problem when restated is:
If n is a whole number greater than 2, then there are no whole numbers
a, b, c such that
an + bn = cn.
For over 350 years, the proof or disproof of this conjecture occupied the minds of
mathematicians. In fact, several
more important or useful theories were derived in the effort to prove this
theorem. It was in the recent years that Andrew Wiles, a
mathematician from Princeton, proved this theory in a work consisting of
more than 200 pages.
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