Add miscellaneous python code that I want to keep.

resources/python/children_problem.py

@@ -0,0 +1,20 @@
+import operator
+
+def generate_decreasing_n_sequence_with_bounded_sum(sequence_length, sum_bound, value_bound=float('inf')):
+    if sequence_length == 0:
+        yield []
+        return
+    min_remaining = sequence_length*(sequence_length - 1)/2
+    bound_for_current = min(sum_bound - min_remaining, value_bound)
+
+    for value in range(sequence_length, bound_for_current):
+        for sequence in generate_decreasing_n_sequence_with_bounded_sum(sequence_length - 1, sum_bound - value, value_bound=value):
+            yield [value] + sequence
+
+
+def build_products_to_sequences_map():
+    product_to_sequences_map = {}
+    for sequence in generate_decreasing_n_sequence_with_bounded_sum(4, 18):
+        product = reduce(operator.mul, sequence, 1)
+        product_to_sequences_map.setdefault(product, []).append(sequence)
+    return product_to_sequences_map