I would have to remember converting between the two systems each time I input/output and from experience, I quickly forget doing that...
You say it's obvious, then you keep talking as if a circle has a start.
No conversion is necessary. Just start at index one of the array for the item labeled 1, then keep going for 100 elements, which is going to end you at element zero of the array.
for (1..100) {
print $result[$_ % 100];
}
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