I have a vector that contains a value for every possible combination of two numbers from a larger group of n numbers (from 0 to (n-1)), excluding combinations where both numbers are the same. For example, if n = 4, combinations will be displayed in the columns number1 and number2.
number1 number2 vector-index value
0 1 0 3
0 2 1 98
0 3 2 0
1 0 3 44
1 2 4 6
1 3 5 3
2 0 6 2
2 1 7 43
2 3 8 23
3 0 9 11
3 1 10 54
3 2 11 7
There are always combinations n*(n-1), and therefore this is the number of elements in the vector (12 elements in the above example).
Problem
To access the values ββin the vector, I need an expression that allows me to calculate the corresponding index number for each combination. If combinations were included, where number1 = number2, the index number could be determined using:
index = number1*(n-1)+number2
This question is related, but also includes combinations where number1 = number2.
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