Q-Table Learning


In [1]:
import gym
import numpy as np

In [2]:
env = gym.make('FrozenLake-v0')


[2017-04-07 02:42:59,748] Making new env: FrozenLake-v0

In [3]:
#Initialize table with all zeros
Q = np.zeros([env.observation_space.n,env.action_space.n])
# Set learning parameters
lr = .85
y = .99
num_episodes = 2000
#create lists to contain total rewards and steps per episode
#jList = []
rList = []
for i in range(num_episodes):
    #Reset environment and get first new observation
    s = env.reset()
    rAll = 0
    d = False
    j = 0
    #The Q-Table learning algorithm
    while j < 99:
        j+=1
        #Choose an action by greedily (with noise) picking from Q table
        a = np.argmax(Q[s,:] + np.random.randn(1,env.action_space.n)*(1./(i+1)))
        #Get new state and reward from environment
        s1,r,d,_ = env.step(a)
        print("s1rd", s1, r, d)
        #Update Q-Table with new knowledge
        Q[s,a] = Q[s,a] + lr*(r + y*np.max(Q[s1,:]) - Q[s,a])
        rAll += r
        s = s1
        if d == True:
            break
    #jList.append(j)
    rList.append(rAll)


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s1rd 10 0.0 False
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s1rd 10 0.0 False
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s1rd 10 0.0 False
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s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 0 0.0 False
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s1rd 1 0.0 False
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s1rd 6 0.0 False
s1rd 5 0.0 True
s1rd 0 0.0 False
s1rd 1 0.0 False
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s1rd 0 0.0 False
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s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
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s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
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s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
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s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
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s1rd 0 0.0 False
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s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 5 0.0 True
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s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 4 0.0 False
s1rd 0 0.0 False
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s1rd 0 0.0 False
s1rd 0 0.0 False
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s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
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s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
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s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 14 0.0 False
s1rd 10 0.0 False
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s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
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s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 13 0.0 False
s1rd 13 0.0 False
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s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 6 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 5 0.0 True
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 5 0.0 True
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 0 0.0 False
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s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 14 0.0 False
s1rd 10 0.0 False
s1rd 6 0.0 False
s1rd 5 0.0 True
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 5 0.0 True
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 6 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 5 0.0 True
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 10 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 13 0.0 False
s1rd 14 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 6 0.0 False
s1rd 5 0.0 True
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 5 0.0 True
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 6 0.0 False
s1rd 7 0.0 True
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 10 0.0 False
s1rd 6 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 10 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
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s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 6 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
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s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 6 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 13 0.0 False
s1rd 13 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 5 0.0 True
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 5 0.0 True
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 7 0.0 True
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 10 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 6 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 14 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 10 0.0 False
s1rd 6 0.0 False
s1rd 10 0.0 False
s1rd 6 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 8 0.0 False
s1rd 8 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 10 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 9 0.0 False
s1rd 13 0.0 False
s1rd 14 0.0 False
s1rd 15 1.0 True
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 0 0.0 False
s1rd 1 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 2 0.0 False
s1rd 3 0.0 False
s1rd 2 0.0 False
s1rd 6 0.0 False
s1rd 7 0.0 True
s1rd 0 0.0 False
s1rd 4 0.0 False
s1rd 8 0.0 False
s1rd 9 0.0 False
---------------------------------------------------------------------------
KeyboardInterrupt                         Traceback (most recent call last)
<ipython-input-3-d33b9ec8e471> in <module>()
     23         print("s1rd", s1, r, d)
     24         #Update Q-Table with new knowledge
---> 25         Q[s,a] = Q[s,a] + lr*(r + y*np.max(Q[s1,:]) - Q[s,a])
     26         rAll += r
     27         s = s1

/usr/local/lib/python3.5/dist-packages/numpy/core/fromnumeric.py in amax(a, axis, out, keepdims)
   2250 
   2251     return _methods._amax(a, axis=axis,
-> 2252                           out=out, **kwargs)
   2253 
   2254 

/usr/local/lib/python3.5/dist-packages/numpy/core/_methods.py in _amax(a, axis, out, keepdims)
     24 # small reductions
     25 def _amax(a, axis=None, out=None, keepdims=False):
---> 26     return umr_maximum(a, axis, None, out, keepdims)
     27 
     28 def _amin(a, axis=None, out=None, keepdims=False):

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In [ ]:
print("Score over time: " +  str(sum(rList)/num_episodes))

In [ ]:
print("Final Q-Table Values")
print(Q)
print(sum(rList))

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