Data commit

Task/EKG-sequence-convergence/Python/ekg-sequence-convergence-1.py

@@ -0,0 +1,34 @@
+from itertools import count, islice, takewhile
+from math import gcd
+
+def EKG_gen(start=2):
+    """\
+    Generate the next term of the EKG together with the minimum cache of
+    numbers left in its production; (the "state" of the generator).
+    Using math.gcd
+    """
+    c = count(start + 1)
+    last, so_far = start, list(range(2, start))
+    yield 1, []
+    yield last, []
+    while True:
+        for index, sf in enumerate(so_far):
+            if gcd(last, sf) > 1:
+                last = so_far.pop(index)
+                yield last, so_far[::]
+                break
+        else:
+            so_far.append(next(c))
+
+def find_convergence(ekgs=(5,7)):
+    "Returns the convergence point or zero if not found within the limit"
+    ekg = [EKG_gen(n) for n in ekgs]
+    for e in ekg:
+        next(e)    # skip initial 1 in each sequence
+    return 2 + len(list(takewhile(lambda state: not all(state[0] == s for  s in state[1:]),
+                                  zip(*ekg))))
+
+if __name__ == '__main__':
+    for start in 2, 5, 7, 9, 10:
+        print(f"EKG({start}):", str([n[0] for n in islice(EKG_gen(start), 10)])[1: -1])
+    print(f"\nEKG(5) and EKG(7) converge at term {find_convergence(ekgs=(5,7))}!")

Task/EKG-sequence-convergence/Python/ekg-sequence-convergence-2.py

@@ -0,0 +1,6 @@
+# After running the above, in the terminal:
+from pprint import pprint as pp
+
+for start in 5, 7:
+    print(f"EKG({start}):\n[(<next>, [<state>]), ...]")
+    pp(([n for n in islice(EKG_gen(start), 21)]))