Data commit

Task/Tau-function/Python/tau-function-2.py

@@ -0,0 +1,17 @@
+def tau(n):
+    assert(isinstance(n, int) and 0 < n)
+    t = (n - 1 ^ n).bit_length()
+    n >>= t - 1
+    p = 3
+    while p * p <= n:
+        a = t
+        while n % p == 0:
+            t += a
+            n //= p
+        p += 2
+    if n != 1:
+        t += t
+    return t
+
+if __name__ == "__main__":
+    print(*map(tau, range(1, 101)))