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Task 1: "GCD Sum
You are given a positive integer $N.
Write a script to sum GCD of all possible unique pairs between 1 and $N.
Example 1:
Input: 3
Output: 3
gcd(1,2) + gcd(1,3) + gcd(2,3)
Example 2:
Input: 4
Output: 7
gcd(1,2) + gcd(1,3) + gcd(1,4) + gcd(2,3) + gcd(2,4) + gcd(3,4)
"
My notes: very clearly defined. Haven't used GCDs for a while:-)
Task 2: "Magical Matrix
Write a script to display matrix as below with numbers 1 - 9. Please make sure numbers are used once.
[ a b c ]
[ d e f ]
[ g h i ]
So that it satisfies the following:
a + b + c = 15
d + e + f = 15
g + h + i = 15
a + d + g = 15
b + e + h = 15
c + f + i = 15
a + e + i = 15
c + e + g = 15
"
My notes: clearly defined. Constraint problem.
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