def dice(self):
         if not self._diced:
             self._diced = [random.randint(1, 6), random.randint(1, 6)]
+            self._diced.sort()
             for rods in [ self._diced,
                           [ abs(self._diced[0] - self._diced[1]) ],
                           [ self._diced[0] + self._diced[1] ] ]:
                 if self._can_be_shut(rods):
                     self._options.append(rods)
 
-    def get_dice(self):
+    def get_diced(self):
         return self._diced
 
+    def get_shutable(self):
+        return self._shutable
+
     def get_options(self):
         return self._options
 
 
--- /dev/null
+#!/usr/bin/env python3
+
+import numpy as np
+import random
+import sys
+
+from game import Game
+
+states_dim = 147456 # 2^12 * 6^2
+actions_dim = 637 # 12+1 * (6+1)^2
+num_episodes = 1000
+
+def find_state_qid(shutable, diced):
+    qid = 0
+    for rod in shutable:
+        qid += pow(2, rod-1)
+    for i in range(len(diced)):
+        qid += (diced[i]-1) * pow(6, i) * pow(2, 12)
+    return qid
+
+def find_option_qid(option):
+    qid = 0
+    for i in range(len(option)):
+        qid += option[i] * pow(7, i) * pow(13, len(option)-1)
+    return qid
+
+def select_option(opts, qs):
+    opt_qid_pairs = []
+    opt_qsum = 0.0
+    for opt in opts:
+        opt_qid = find_option_qid(opt)
+        opt_qid_pairs.append( [opt, opt_qid] )
+        opt_qsum += qs[opt_qid]
+    random.shuffle(opt_qid_pairs)
+    ran_pt = random.uniform(0.0, opt_qsum)
+    decision_pt = 0.0
+    for opt_qid_pair in opt_qid_pairs:
+        decision_pt += qs[ opt_qid_pair[1] ]
+        if ran_pt <= decision_pt:
+            return (opt_qid_pair[0], opt_qid_pair[1])
+    return (None, None)
+
+Q = np.zeros([states_dim, actions_dim])
+
+for i in range(num_episodes):
+    g = Game()
+    while not g.is_over():
+        g.dice()
+        state_qid = find_state_qid(g.get_shutable(), g.get_diced())
+        opt, opt_qid = select_option( g.get_options(), Q[state_qid, :] )
+        if opt:
+            g.shut(opt)
+    print( "%d: %d" % (i, g.get_score()) )