fix 92 100

python/100.py

@@ -1,6 +1,14 @@
-a, b = 1, 1
-n = (a + 1) // 2
-while n < 10 ** 12:
+
+def gen():
+    a = 1       # for all
+    b = 1       # for blue
+    while True:
+        yield (a + 1) // 2, (b + 1) // 2
         a, b = 3 * a + 4 * b, 2 * a + 3 * b
-  n = (a + 1) // 2
-print (b + 1) // 2
+
+def search(limit):
+    for a, b in gen():
+        if a > limit:
+            return b
+
+print(search(int(10 ** 12)))

python/92.py

@@ -1,6 +1,11 @@
 import time
 from functools import reduce
-from tools import algebra
+
+def factorial(n, multi=1):
+    if 1 == n:
+        return multi
+    else:
+        return factorial(n - 1, multi * n)
 
 def jump(num):
     if 9 > num % 10:
@@ -39,7 +44,7 @@ def count(limit, s_num):
     for i in range(len(s_num)):
         total *= (limit - i)
     for ch in set(list(s_num)):
-        total //= algebra.factorial(s_num.count(ch))
+        total //= factorial(s_num.count(ch))
     return total
 
 def statistic(limit):