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Consider the following algorithm (remember that integer division truncates): int halfIt (int n) { if (n > 0) { return 1 + halfIt (n/2); }
Consider the following algorithm (remember that integer division truncates):
int halfIt (int n) {
if (n > 0) {
return 1 + halfIt (n/2);
} else {
return 0;
}
}
What does halfIt(n) return? Your answer should be a function of n. Prove that the algorithm is correct.
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