Algorithms:,,Linear,and,Binary,Search,
Algorithms:
Linear
and
Binary
Search
CS
110
Bryn
Mawr
College
Algorithm
? A
well--defined
set
of
instruc;ons
for
solving
a
par;cular
kind
of
problem.
? Algorithms
exist
for
systema;cally
solving
many
types
of
problems
? Sor;ng
? Searching
? ...
Euclid's
algorithm
for
greatest
common
divisor
? Problem:
? Find
the
greatest
common
divisor
of
two
numbers
A
and
B
? GCD
Algorithm
1. While
B
is
not
zero,
repeat
the
following:
? If
A
>
B,
then
A=A--B
? Otherwise,
B=B--A
2. A
is
the
GCD
int A = 40902; int B = 24140;
print("GCD of " + A + " and " + B + " is ");
while (B != 0) { if (A > B) { A = A - B; } else { B = B - A; }
}
println(A);
Exhaus ................
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