+def scale_freq(frequencies):
+ total= sum(frequencies.values())
+ scaled_frequencies = collections.defaultdict(int)
+ for letter in frequencies.keys():
+ scaled_frequencies[letter] = frequencies[letter] / total
+ return scaled_frequencies
+
+def value_diff(frequencies1, frequencies2):
+ total= 0
+ for letter in frequencies1.keys():
+ total += abs(frequencies1[letter]-frequencies2[letter])
+ return total
+
+
+