finish 4.5; add 6.2.2

src/Others/4.5_z3/exp.py

@@ -0,0 +1,42 @@
+from z3 import *
+
+solver = Solver()
+
+serial = [Int("serial[%d]" % i) for i in range(20)]
+
+solver.add(serial[15] + serial[4]  == 10)
+solver.add(serial[1]  * serial[18] == 2 )
+solver.add(serial[15] / serial[9]  == 1)
+solver.add(serial[17] - serial[0]  == 4)
+solver.add(serial[5]  - serial[17] == -1)
+solver.add(serial[15] - serial[1]  == 5)
+solver.add(serial[1]  * serial[10] == 18)
+solver.add(serial[8]  + serial[13] == 14)
+solver.add(serial[18] * serial[8]  == 5)
+solver.add(serial[4]  * serial[11] == 0)
+solver.add(serial[8]  + serial[9]  == 12)
+solver.add(serial[12] - serial[19] == 1)
+solver.add(serial[9]  % serial[17] == 7)
+solver.add(serial[14] * serial[16] == 40)
+solver.add(serial[7]  - serial[4]  == 1)
+solver.add(serial[6]  + serial[0]  == 6)
+solver.add(serial[2]  - serial[16] == 0)
+solver.add(serial[4]  - serial[6]  == 1)
+solver.add(serial[0]  % serial[5]  == 4)
+solver.add(serial[5]  * serial[11] == 0)
+solver.add(serial[10] % serial[15] == 2)
+solver.add(serial[11] / serial[3]  == 0)    # serial[3] can't be 0
+solver.add(serial[14] - serial[13] == -4)
+solver.add(serial[18] + serial[19] == 3)
+
+for i in range(20):
+    solver.add(serial[i] >= 0, serial[i] < 10)
+
+solver.add(serial[3] != 0)
+
+if solver.check() == sat:
+    m = solver.model()
+    for d in m.decls():
+        print("%s = %s" % (d.name(), m[d]))
+
+    print("".join([str(m.eval(serial[i])) for i in range(20)]))

src/Others/4.5_z3/harder_serial.py

@@ -0,0 +1,72 @@
+#!/usr/bin/env python
+# Looks like the serial number verification for space ships is similar to that
+# of your robot. Try to find a serial that verifies for this space ship
+
+import sys
+print ("Please enter a valid serial number from your RoboCorpIntergalactic purchase")
+if len(sys.argv) < 2:
+  print ("Usage: %s [serial number]"%sys.argv[0])
+  exit()
+  
+print ("#>" + sys.argv[1] + "<#")
+
+def check_serial(serial):
+  if (not set(serial).issubset(set(map(str,range(10))))):
+    print ("only numbers allowed")
+    return False
+  if len(serial) != 20:
+    return False
+  if int(serial[15]) + int(serial[4]) != 10:
+    return False
+  if int(serial[1]) * int(serial[18]) != 2:
+    return False
+  if int(serial[15]) / int(serial[9]) != 1:
+    return False
+  if int(serial[17]) - int(serial[0]) != 4:
+    return False
+  if int(serial[5]) - int(serial[17]) != -1:
+    return False
+  if int(serial[15]) - int(serial[1]) != 5:
+    return False
+  if int(serial[1]) * int(serial[10]) != 18:
+    return False
+  if int(serial[8]) + int(serial[13]) != 14:
+    return False
+  if int(serial[18]) * int(serial[8]) != 5:
+    return False
+  if int(serial[4]) * int(serial[11]) != 0:
+    return False
+  if int(serial[8]) + int(serial[9]) != 12:
+    return False
+  if int(serial[12]) - int(serial[19]) != 1:
+    return False
+  if int(serial[9]) % int(serial[17]) != 7:
+    return False
+  if int(serial[14]) * int(serial[16]) != 40:
+    return False
+  if int(serial[7]) - int(serial[4]) != 1:
+    return False
+  if int(serial[6]) + int(serial[0]) != 6:
+    return False
+  if int(serial[2]) - int(serial[16]) != 0:
+    return False
+  if int(serial[4]) - int(serial[6]) != 1:
+    return False
+  if int(serial[0]) % int(serial[5]) != 4:
+    return False
+  if int(serial[5]) * int(serial[11]) != 0:
+    return False
+  if int(serial[10]) % int(serial[15]) != 2:
+    return False
+  if int(serial[11]) / int(serial[3]) != 0:
+    return False
+  if int(serial[14]) - int(serial[13]) != -4:
+    return False
+  if int(serial[18]) + int(serial[19]) != 3:
+    return False
+  return True
+
+if check_serial(sys.argv[1]):
+  print ("Thank you! Your product has been verified!")
+else:
+  print ("I'm sorry that is incorrect. Please use a valid RoboCorpIntergalactic serial number")