Data commit

Task/Kaprekar-numbers/Python/kaprekar-numbers-1.py

@@ -0,0 +1,14 @@
+>>> def k(n):
+	n2 = str(n**2)
+	for i in range(len(n2)):
+		a, b = int(n2[:i] or 0), int(n2[i:])
+		if b and a + b == n:
+			return n
+			#return (n, (n2[:i], n2[i:]))
+
+		
+>>> [x for x in range(1,10000) if k(x)]
+[1, 9, 45, 55, 99, 297, 703, 999, 2223, 2728, 4879, 4950, 5050, 5292, 7272, 7777, 9999]
+>>> len([x for x in range(1,1000000) if k(x)])
+54
+>>>

Task/Kaprekar-numbers/Python/kaprekar-numbers-2.py

@@ -0,0 +1,29 @@
+def encode(n, base):
+    result = ""
+    while n:
+        n, d = divmod(n, base)
+        if d < 10:
+            result += str(d)
+        else:
+            result += chr(d - 10 + ord("a"))
+    return result[::-1]
+def Kaprekar(n, base):
+    if n == '1':
+        return True
+    sq = encode((int(n, base)**2), base)
+    for i in range(1,len(sq)):
+        if (int(sq[:i], base) + int(sq[i:], base) == int(n, base)) and (int(sq[:i], base) > 0) and (int(sq[i:], base)>0):
+            return True
+    return False
+def Find(m, n, base):
+    return [encode(i, base) for i in range(m,n+1) if Kaprekar(encode(i, base), base)]
+
+m = int(raw_input('Where to start?\n'))
+n = int(raw_input('Where to stop?\n'))
+base = int(raw_input('Enter base:'))
+KNumbers = Find(m, n, base)
+for i in KNumbers:
+    print i
+print 'The number of Kaprekar Numbers found are',
+print len(KNumbers)
+raw_input()

Task/Kaprekar-numbers/Python/kaprekar-numbers-3.py

@@ -0,0 +1,11 @@
+Base = 10
+N = 6
+Paddy_cnt = 1
+for n in range(N):
+  for V in CastOut(Base,Start=Base**n,End=Base**(n+1)):
+    for B in range(n+1,n*2+2):
+      x,y = divmod(V*V,Base**B)
+      if V == x+y and 0<y:
+        print('{1}: {0}'.format(V, Paddy_cnt))
+        Paddy_cnt += 1
+        break

Task/Kaprekar-numbers/Python/kaprekar-numbers-4.py

@@ -0,0 +1,10 @@
+Base = 16
+N = 4
+Paddy_cnt = 1
+for V in CastOut(Base,Start=1,End=Base**N):
+  for B in range(1,N*2-1):
+    x,y = divmod(V*V,Base**B)
+    if V == x+y and 0<y:
+      print('{1}: {0:x}'.format(V, Paddy_cnt))
+      Paddy_cnt += 1
+      break