README.md

@@ -79,3 +79,6 @@ CFcSBwgCCBoHRhkKU1cGAA4AGU5YQR5THBwNFwoGGAxTQQMQVBUSBg4EAAwQRhUQVBUHFAQTGRpT QQM
 
 ### queue-to-do
 * Completed in: 9 hrs, 13 mins, 42 secs.
+
+### ion-flux-relabeling
+* Completed in: 9 hrs, 33 mins, 36 secs.

extra/ion-flux-relabeling/solution.py

@@ -0,0 +1,28 @@
+def solution(h, q):
+    return [converter(h, n) for n in q]
+
+def converter(h, n):
+    if n == 2**h - 1:
+        return -1
+    return reduce(n)
+
+def reduce(n):
+    b = bin(n)[2:]
+    l = len(b)
+    c = b.count('1')
+    if l == c: # 2**l - 1
+        return 2**(l+1) - 1
+    fold = 2**(l-1) - 1
+    m = n - fold
+    if m == fold: # 2 * (2**(l-1) - 1)
+        return reduce(m)
+    return reduce(m) + fold
+
+tests = [
+        ([3, [7, 3, 5, 1]], [-1, 7, 6, 3]),
+        ([5, [19, 14, 28]], [21, 15, 29]),
+        ]
+
+for i, o in tests:
+    result = solution(*i)
+    print (i, result == o, result, o)