+262 What is the residue modulo 13 of the sum of the modulo 13 inverses of the first 12 positive integers? Express your answer as an integer from 0 to 12, inclusive.
i=1;p=0;a=1;m=13;cycle:b=a%m; if(b*i % m==1,goto6, goto8);printa," - ","The mmi = ",i;p=p+i;i++;if(i<=(m-1), goto cycle, 0); i=1;m=13;a++;if(a<=12, goto cycle, 0);print"Total of All mmis =",p
1 - The mmi = 1
2 - The mmi = 7
3 - The mmi = 9
4 - The mmi = 10
5 - The mmi = 8
6 - The mmi = 11
7 - The mmi = 2
8 - The mmi = 5
9 - The mmi = 3
10 - The mmi = 4
11 - The mmi = 6
12 - The mmi = 12
Total of All mmis = 78
78 mod 13 = 0
