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Task/Increasing-gaps-between-consecutive-Niven-numbers/Python/increasing-gaps-between-consecutive-niven-numbers.py

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+"""
+
+Python implementation of
+
+http://rosettacode.org/wiki/Increasing_gaps_between_consecutive_Niven_numbers
+
+"""
+
+# based on C example
+
+# Returns the sum of the digits of n given the
+# sum of the digits of n - 1
+def digit_sum(n, sum):
+    sum += 1
+    while n > 0 and n % 10 == 0:
+        sum -= 9
+        n /= 10
+
+    return sum
+
+previous = 1
+gap = 0
+sum = 0
+niven_index = 0
+gap_index = 1
+
+print("Gap index  Gap    Niven index    Niven number")
+
+niven = 1
+
+while gap_index <= 22:
+    sum = digit_sum(niven, sum)
+    if niven % sum == 0:
+        if niven > previous + gap:
+            gap = niven - previous;
+            print('{0:9d} {1:4d}  {2:13d}     {3:11d}'.format(gap_index, gap, niven_index, previous))
+            gap_index += 1
+        previous = niven
+        niven_index += 1
+    niven += 1