Determine the loop‐carried (inter‐iteration) dependencies in the following loop and rewrite it so that it is parallel. How many cycles would it take to execute this loop on a system with 10 processors, assuming addition takes only one cycle.

for (i = 1; i<=99; i++) {
a[i] = b[i] + c[i]; /S1/
b[i] = a[i] + d[i]; /S2/
a[i+1] = a[i] + e[i]; /S3/
}