Data commit

Task/Sum-to-100/Python/sum-to-100-1.py

@@ -0,0 +1,51 @@
+from itertools import product, islice
+
+
+def expr(p):
+    return "{}1{}2{}3{}4{}5{}6{}7{}8{}9".format(*p)
+
+
+def gen_expr():
+    op = ['+', '-', '']
+    return [expr(p) for p in product(op, repeat=9) if p[0] != '+']
+
+
+def all_exprs():
+    values = {}
+    for expr in gen_expr():
+        val = eval(expr)
+        if val not in values:
+            values[val] = 1
+        else:
+            values[val] += 1
+    return values
+
+
+def sum_to(val):
+    for s in filter(lambda x: x[0] == val, map(lambda x: (eval(x), x), gen_expr())):
+        print(s)
+
+
+def max_solve():
+    print("Sum {} has the maximum number of solutions: {}".
+          format(*max(all_exprs().items(), key=lambda x: x[1])))
+
+
+def min_solve():
+    values = all_exprs()
+    for i in range(123456789):
+        if i not in values:
+            print("Lowest positive sum that can't be expressed: {}".format(i))
+            return
+
+
+def highest_sums(n=10):
+    sums = map(lambda x: x[0],
+               islice(sorted(all_exprs().items(), key=lambda x: x[0], reverse=True), n))
+    print("Highest Sums: {}".format(list(sums)))
+
+
+sum_to(100)
+max_solve()
+min_solve()
+highest_sums()

Task/Sum-to-100/Python/sum-to-100-2.py

@@ -0,0 +1,29 @@
+import itertools
+from collections import defaultdict, Counter
+
+s = "123456789"
+h = defaultdict(list)
+for v in itertools.product(["+", "-", ""], repeat=9):
+    if v[0] != "+":
+        e = "".join("".join(u) for u in zip(v, s))
+        h[eval(e)].append(e)
+
+print("Solutions for 100")
+for e in h[100]:
+    print(e)
+
+c = Counter({k: len(v) for k, v in h.items() if k >= 0})
+
+k, m = c.most_common(1)[0]
+print("Maximum number of solutions for %d (%d solutions)" % (k, m))
+
+v = sorted(c.keys())
+
+for i in range(v[-1]):
+    if i not in c:
+        print("Lowest impossible sum: %d" % i)
+        break
+
+print("Ten highest sums")
+for k in reversed(v[-10:]):
+    print(k)