Data commit

Task/Tau-function/Rust/tau-function.rust

@@ -0,0 +1,26 @@
+// returns the highest power of i that is a factor of n,
+// and n divided by that power of i
+fn factor_exponent(n: i32, i: i32) -> (i32, i32) {
+	if n % i == 0 {
+		let (a, b) = factor_exponent(n / i, i);
+		(a + 1, b)
+	} else {
+		(0, n)
+	}
+}
+
+fn tau(n: i32) -> i32 {
+	for i in 2..(n+1) {
+		if n % i == 0 {
+			let (count, next) = factor_exponent(n, i);
+			return (count + 1) * tau(next);
+		}
+	}
+	return 1;
+}
+
+fn main() {
+	for i in 1..101 {
+		print!("{} ", tau(i));
+	}
+}