Data commit

Task/Partition-an-integer-x-into-n-primes/Python/partition-an-integer-x-into-n-primes.py

@@ -0,0 +1,35 @@
+from itertools import combinations as cmb
+
+
+def isP(n):
+    if n == 2:
+        return True
+    if n % 2 == 0:
+        return False
+    return all(n % x > 0 for x in range(3, int(n ** 0.5) + 1, 2))
+
+
+def genP(n):
+    p = [2]
+    p.extend([x for x in range(3, n + 1, 2) if isP(x)])
+    return p
+
+
+data = [
+    (99809, 1), (18, 2), (19, 3), (20, 4), (2017, 24),
+    (22699, 1), (22699, 2), (22699, 3), (22699, 4), (40355, 3)]
+
+
+for n, cnt in data:
+    ci = iter(cmb(genP(n), cnt))
+    while True:
+        try:
+            c = next(ci)
+            if sum(c) == n:
+                print(' '.join(
+                    [repr((n, cnt)), "->", '+'.join(str(s) for s in c)]
+                ))
+                break
+        except StopIteration:
+            print(repr((n, cnt)) + " -> Not possible")
+            break