强化学习⚠️手把手带你走进强化学习 2⚠️ OPP 算法实现月球登陆器

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【强化学习】⚠️手把手带你走进强化学习 2⚠️ OPP 算法实现月球登陆器

概述

从今天开始我们会开启一个新的篇章, 带领大家来一起学习 (卷进) 强化学习 (Reinforcement Learning). 强化学习基于环境, 分析数据采取行动, 从而最大化未来收益.

强化学习算法种类


On-policy vs Off-policy:

  • On-policy: 训练数据由当前 agent 不断与环境交互得到
  • Off-policy: 训练的 agent 和与环境交互的 agent 不是同一个 agent, 即别人与环境交互为我提供训练数据

PPO 算法

PPO (Proximal Policy Optimization) 即近端策略优化. PPO 是一种 on-policy 算法, 通过实现小批量更新, 解决了训练过程中新旧策略的变化差异过大导致不易学习的问题.

Actor-Critic 算法

Actor-Critic 算法共分为两部分. 第一部分为策略函数 Actor, 负责生成动作并与环境交互; 第二部分为价值函数, 负责评估 Actor 的表现.

Gym

Gym 是一个强化学习会经常用到的包. Gym 里收集了很多游戏的环境. 下面我们就会用 LunarLander-v2 来实现一个自动版的 “阿波罗登月”.


安装:

pip install gym

如果遇到报错:

AttributeError: module 'gym.envs.box2d' has no attribute 'LunarLander'

解决办法:

pip install gym[box2d]

LunarLander-v2

LunarLander-v2 是一个月球登陆器. 着陆平台位于坐标 (0, 0). 坐标是状态向量的前两个数字, 从屏幕顶部移动到着陆台和零速度的奖励大约是 100 到 140分. 如果着陆器坠毁或停止, 则回合结束, 获得额外的 -100 或 +100点. 每脚接地为 +10, 点火主机每帧 -0.3分, 正解为200分.

启动登陆器

代码:

import gym

# 创建环境
env = gym.make("LunarLander-v2")

# 重置环境
env.reset()

# 启动
for i in range(180):

    # 渲染环境
    env.render()

    # 随机移动
    observation, reward, done, info = env.step(env.action_space.sample())

    if i % 10 == 0:
        # 调试输出
        print("观察:", observation)
        print("得分:", reward)

输出结果:

观察: [ 0.00861025  1.4061487   0.42930993 -0.11858992 -0.00789343 -0.05729095
  0.          0.        ]
得分: 0.4097546298543773
观察: [ 0.04917412  1.3876126   0.41002613 -0.13066985 -0.06578191 -0.12604967
  0.          0.        ]
得分: -1.0858669952763478
观察: [ 0.08917055  1.3429415   0.43598312 -0.2890789  -0.17471936 -0.23913136
  0.          0.        ]
得分: -2.9339827504803666
观察: [ 0.1326253   1.2450166   0.44708318 -0.5567949  -0.32039645 -0.28250334
  0.          0.        ]
得分: -2.2779730990326357
观察: [ 0.18323365  1.1110108   0.615291   -0.61922276 -0.43743232 -0.2921057
  0.          0.        ]
得分: -3.107298313736037
观察: [ 0.24544087  0.94960684  0.66677517 -0.7835077  -0.5929364  -0.2968613
  0.          0.        ]
得分: -0.5472611013563438
观察: [ 0.3148238   0.75122666  0.7238519  -0.98458177 -0.72915816 -0.26130882
  0.          0.        ]
得分: -2.5665300894414416
观察: [ 0.38628978  0.49828076  0.74157137 -1.2624744  -0.85754734 -0.37227553
  0.          0.        ]
得分: -3.2562193227533087
观察: [ 0.46820658  0.18855602  0.92624503 -1.4677961  -1.08614    -0.4508995
  0.          0.        ]
得分: -4.017106927961208
观察: [ 0.57930076 -0.09440845  1.4345247  -0.693939   -2.0783656  -5.4039164
  1.          0.        ]
得分: -100
观察: [ 0.7383894  -0.08930686  1.4662493  -0.13461255 -3.653495   -3.109081
  0.          0.        ]
得分: -100
观察: [ 0.859124   -0.08471288  0.9377837   0.21408719 -3.8998525   0.10151418
  0.          0.        ]
得分: -100
观察: [ 9.3801367e-01 -4.6761338e-02  6.5999150e-01  1.4583524e-01
 -3.9281998e+00 -4.7179851e-06  0.0000000e+00  1.0000000e+00]
得分: -100
观察: [ 0.9879366  -0.04012476  0.33624884  0.08859511 -4.253908   -1.0233303
  0.          0.        ]
得分: -100
观察: [ 1.0056045  -0.03840658  0.0733737   0.01812508 -4.6796274  -0.6103991
  0.          0.        ]
得分: -100
观察: [ 1.0112988  -0.03921754  0.07890484 -0.00624387 -4.845023   -0.17111658
  0.          0.        ]
得分: -100
观察: [ 1.0234139  -0.04488504  0.15701209 -0.0331554  -4.829875    0.07602684
  0.          0.        ]
得分: -100
观察: [ 1.0306002e+00 -4.8987642e-02 -1.1189224e-02  8.7506004e-04
 -4.8712435e+00 -1.5446089e-01  0.0000000e+00  0.0000000e+00]
得分: -100

PPO 算法实现月球登录器

PPO

import torch
import torch.nn as nn
from torch.distributions import Categorical

# 是否使用GPU加速
device = torch.device("cuda:0" if torch.cuda.is_available() else "cpu")
print(device)


class Memory:
    def __init__(self):
        """初始化"""
        self.actions = []  # 行动(共4种)
        self.states = []  # 状态, 由8个数字组成
        self.logprobs = []  # 概率
        self.rewards = []  # 奖励
        self.is_terminals = []  # 游戏是否结束

    def clear_memory(self):
        """清除memory"""
        del self.actions[:]
        del self.states[:]
        del self.logprobs[:]
        del self.rewards[:]
        del self.is_terminals[:]


class ActorCritic(nn.Module):
    def __init__(self, state_dim, action_dim, n_latent_var):
        super(ActorCritic, self).__init__()

        # 行动
        self.action_layer = nn.Sequential(
            # [b, 8] => [b, 64]
            nn.Linear(state_dim, n_latent_var),
            nn.Tanh(),  # 激活

            # [b, 64] => [b, 64]
            nn.Linear(n_latent_var, n_latent_var),
            nn.Tanh(),  # 激活

            # [b, 64] => [b, 4]
            nn.Linear(n_latent_var, action_dim),
            nn.Softmax(dim=-1)
        )

        # 评判
        self.value_layer = nn.Sequential(
            # [b, 8] => [8, 64]
            nn.Linear(state_dim, n_latent_var),
            nn.Tanh(),  # 激活

            # [b, 64] => [b, 64]
            nn.Linear(n_latent_var, n_latent_var),
            nn.Tanh(),

            # [b, 64] => [b, 1]
            nn.Linear(n_latent_var, 1)
        )

    def forward(self):
        """前向传播, 由act替代"""

        raise NotImplementedError

    def act(self, state, memory):
        """计算行动"""

        # 转成张量
        state = torch.from_numpy(state).float().to(device)

        # 计算4个方向概率
        action_probs = self.action_layer(state)

        # 通过最大概率计算最终行动方向
        dist = Categorical(action_probs)
        action = dist.sample()

        # 存入memory
        memory.states.append(state)
        memory.actions.append(action)
        memory.logprobs.append(dist.log_prob(action))

        # 返回行动
        return action.item()

    def evaluate(self, state, action):
        """
        评估
        :param state: 状态, 2000个一组, 形状为 [2000, 8]
        :param action: 行动, 2000个一组, 形状为 [2000]
        :return:
        """

        # 计算行动概率
        action_probs = self.action_layer(state)
        dist = Categorical(action_probs)  # 转换成类别分布

        # 计算概率密度, log(概率)
        action_logprobs = dist.log_prob(action)

        # 计算熵
        dist_entropy = dist.entropy()

        # 评判
        state_value = self.value_layer(state)
        state_value = torch.squeeze(state_value)  # [2000, 1] => [2000]

        # 返回行动概率密度, 评判值, 行动概率熵
        return action_logprobs, state_value, dist_entropy


class PPO:
    def __init__(self, state_dim, action_dim, n_latent_var, lr, betas, gamma, K_epochs, eps_clip):
        self.lr = lr  # 学习率
        self.betas = betas  # betas
        self.gamma = gamma  # gamma
        self.eps_clip = eps_clip  # 裁剪, 限制值范围
        self.K_epochs = K_epochs  # 迭代次数

        # 初始化policy
        self.policy = ActorCritic(state_dim, action_dim, n_latent_var).to(device)
        self.policy_old = ActorCritic(state_dim, action_dim, n_latent_var).to(device)
        self.policy_old.load_state_dict(self.policy.state_dict())

        self.optimizer = torch.optim.Adam(self.policy.parameters(), lr=lr, betas=betas)  # 优化器
        self.MseLoss = nn.MSELoss()  # 损失函数

    def update(self, memory):
        """更新梯度"""

        # 蒙特卡罗预测状态回报
        rewards = []
        discounted_reward = 0
        for reward, is_terminal in zip(reversed(memory.rewards), reversed(memory.is_terminals)):
            # 回合结束
            if is_terminal:
                discounted_reward = 0

            # 更新削减奖励(当前状态奖励 + 0.99*上一状态奖励
            discounted_reward = reward + (self.gamma * discounted_reward)

            # 首插入
            rewards.insert(0, discounted_reward)

        # 标准化奖励
        rewards = torch.tensor(rewards, dtype=torch.float32).to(device)
        rewards = (rewards - rewards.mean()) / (rewards.std() + 1e-5)

        # 张量转换
        old_states = torch.stack(memory.states).to(device).detach()
        old_actions = torch.stack(memory.actions).to(device).detach()
        old_logprobs = torch.stack(memory.logprobs).to(device).detach()

        # 迭代优化 K 次:
        for _ in range(self.K_epochs):
            # 评估
            logprobs, state_values, dist_entropy = self.policy.evaluate(old_states, old_actions)

            # 计算ratios
            ratios = torch.exp(logprobs - old_logprobs.detach())

            # 计算损失
            advantages = rewards - state_values.detach()
            surr1 = ratios * advantages
            surr2 = torch.clamp(ratios, 1 - self.eps_clip, 1 + self.eps_clip) * advantages
            loss = -torch.min(surr1, surr2) + 0.5 * self.MseLoss(state_values, rewards) - 0.01 * dist_entropy

            # 梯度清零
            self.optimizer.zero_grad()

            # 反向传播
            loss.mean().backward()

            # 更新梯度
            self.optimizer.step()

        # 将新的权重赋值给旧policy
        self.policy_old.load_state_dict(self.policy.state_dict())

main

import gym
import torch
from PPO import Memory, PPO

############## 超参数 ##############
env_name = "LunarLander-v2"  # 游戏名字
env = gym.make(env_name)
state_dim = 8  # 状态维度
action_dim = 4  # 行动维度
render = False  # 可视化
solved_reward = 230  # 停止循环条件 (奖励 > 230)
log_interval = 20  # print avg reward in the interval
max_episodes = 50000  # 最大迭代次数
max_timesteps = 300  # 最大单次游戏步数
n_latent_var = 64  # 全连接隐层维度
update_timestep = 2000  # 每2000步policy更新一次
lr = 0.002  # 学习率
betas = (0.9, 0.999)  # betas
gamma = 0.99  # gamma
K_epochs = 4  # policy迭代更新次数
eps_clip = 0.2  # PPO 限幅


#############################################

def main():
    # 实例化
    memory = Memory()
    ppo = PPO(state_dim, action_dim, n_latent_var, lr, betas, gamma, K_epochs, eps_clip)

    # 存放
    total_reward = 0
    total_length = 0
    timestep = 0

    # 训练
    for i_episode in range(1, max_episodes + 1):

        # 环境初始化
        state = env.reset()  # 初始化(重新玩)

        # 迭代
        for t in range(max_timesteps):
            timestep += 1

            # 用旧policy得到行动
            action = ppo.policy_old.act(state, memory)

            # 行动
            state, reward, done, _ = env.step(action)  # 得到(新的状态,奖励,是否终止,额外的调试信息)

            # 更新memory(奖励/游戏是否结束)
            memory.rewards.append(reward)
            memory.is_terminals.append(done)

            # 更新梯度
            if timestep % update_timestep == 0:
                ppo.update(memory)

                # memory清零
                memory.clear_memory()

                # 累计步数清零
                timestep = 0

            # 累加
            total_reward += reward

            # 可视化
            if render:
                env.render()

            # 如果游戏结束, 退出
            if done:
                break

        # 游戏步长
        total_length += t

        # 如果达到要求(230分), 退出循环
        if total_reward >= (log_interval * solved_reward):
            print("########## Solved! ##########")

            # 保存模型
            torch.save(ppo.policy.state_dict(), './PPO_{}.pth'.format(env_name))

            # 退出循环
            break

        # 输出log, 每20次迭代
        if i_episode % log_interval == 0:
            
            # 求20次迭代平均时长/收益
            avg_length = int(total_length / log_interval)
            running_reward = int(total_reward / log_interval)

            # 调试输出
            print('Episode {} \\t avg length: {} \\t average_reward: {}'.format(i_episode, avg_length, running_reward))

            # 清零
            total_reward = 0
            total_length = 0

if __name__ == '__main__':
    main()

输出结果

Episode 20 	 avg length: 93 	 reward: -243
Episode 40 	 avg length: 92 	 reward: -172
Episode 60 	 avg length: 79 	 reward: -192
Episode 80 	 avg length: 85 	 reward: -164
Episode 100 	 avg length: 90 	 reward: -179
Episode 120 	 avg length: 100 	 reward: -201
Episode 140 	 avg length: 91 	 reward: -175
Episode 160 	 avg length: 101 	 reward: -141
Episode 180 	 avg length: 86 	 reward: -153
Episode 200 	 avg length: 93 	 reward: -189
Episode 220 	 avg length: 96 	 reward: -221
Episode 240 	 avg length: 105 	 reward: -140
Episode 260 	 avg length: 94 	 reward: -121
Episode 280 	 avg length: 91 	 reward: -131
Episode 300 	 avg length: 91 	 reward: -122
Episode 320 	 avg length: 90 	 reward: -113
Episode 340 	 avg length: 100 	 reward: -110
Episode 360 	 avg length: 110 	 reward: -92
Episode 380 	 avg length: 110 	 reward: -75
Episode 400 	 avg length: 119 	 reward: -76
Episode 420 	 avg length: 162 	 reward: -77
Episode 440 	 avg length: 194 	 reward: -91
Episode 460 	 avg length: 144 	 reward: -28
Episode 480 	 avg length: 192 	 reward: -8
Episode 500 	 avg length: 244 	 reward: -25
Episode 520 	 avg length: 239 	 reward: -1
Episode 540 	 avg length: 269 	 reward: 21
Episode 560 	 avg length: 289 	 reward: 27
Episode 580 	 avg length: 270 	 reward: 65
Episode 600 	 avg length: 264 	 reward: 86
Episode 620 	 avg length: 256 	 reward: 66
Episode 640 	 avg length: 278 	 reward: 75
Episode 660 	 avg length: 235 	 reward: 11
Episode 680 	 avg length: 244 	 reward: 84
Episode 700 	 avg length: 253 	 reward: 73
Episode 720 	 avg length: 292 	 reward: 63
Episode 740 	 avg length: 293 	 reward: 104
Episode 760 	 avg length: 279 	 reward: 109
Episode 780 	 avg length: 246 	 reward: 86
Episode 800 	 avg length: 260 	 reward: 124
Episode 820 	 avg length: 276 	 reward: 131
Episode 840 	 avg length: 269 	 reward: 121
Episode 860 	 avg length: 194 	 reward: 67
Episode 880 	 avg length: 241 	 reward: 94
Episode 900 	 avg length: 259 	 reward: 98
Episode 920 	 avg length: 211 	 reward: 83
Episode 940 	 avg length: 260 	 reward: 105
Episode 960 	 avg length: 194 	 reward: 65
Episode 980 	 avg length: 202 	 reward: 68
Episode 1000 	 avg length: 243 	 reward: 79
Episode 1020 	 avg length: 260 	 reward: 66
Episode 1040 	 avg length: 289 	 reward: 117
Episode 1060 	 avg length: 252 	 reward: 94
Episode 1080 	 avg length: 262 	 reward: 114
Episode 1100 	 avg length: 272 	 reward: 112
Episode 1120 	 avg length: 263 	 reward: 97
Episode 1140 	 avg length: 256 	 reward: 93
Episode 1160 	 avg length: 274 	 reward: 120
Episode 1180 	 avg length: 256 	 reward: 117
Episode 1200 	 avg length: 241 	 reward: 105
Episode 1220 	 avg length: 238 	 reward: 103
Episode 1240 	 avg length: 267 	 reward: 121
Episode 1260 	 avg length: 283 	 reward: 124
Episode 1280 	 avg length: 299 	 reward: 149
Episode 1300 	 avg length: 281 	 reward: 126
Episode 1320 	 avg length: 266 	 reward: 102
Episode 1340 	 avg length: 282 	 reward: 128
Episode 1360 	 avg length: 275 	 reward: 114
Episode 1380 	 avg length: 285 	 reward: 105
Episode 1400 	 avg length: 294 	 reward: 123
Episode 1420 	 avg length: 293 	 reward: 132
Episode 1440 	 avg length: 248 	 reward: 85
Episode 1460 	 avg length: 281 	 reward: 115
Episode 1480 	 avg length: 291 	 reward: 152
Episode 1500 	 avg length: 279 	 reward: 130
Episode 1520 	 avg length: 267 	 reward: 103
Episode 1540 	 avg length: 270 	 reward: 137
Episode 1560 	 avg length: 269 	 reward: 120
Episode 1580 	 avg length: 260 	 reward: 113
Episode 1600 	 avg length: 282 	 reward: 147
Episode 1620 	 avg length: 259 	 reward: 125
Episode 1640 	 avg length: 240 	 reward: 90
Episode 1660 	 avg length: 284 	 reward: 125
Episode 1680 	 avg length: 282 	 reward: 123
Episode 1700 	 avg length: 274 	 reward: 123
Episode 1720 	 avg length: 273 	 reward: 130
Episode 1740 	 avg length: 260 	 reward: 117
Episode 1760 	 avg length: 243 	 reward: 106
Episode 1780 	 avg length: 241 	 reward: 90
Episode 1800 	 avg length: 290 	 reward: 144
Episode 1820 	 avg length: 258 	 reward: 131
Episode 1840 	 avg length: 283 	 reward: 142
Episode 1860 	 avg length: 262 	 reward: 100
Episode 1880 	 avg length: 273 	 reward: 132
Episode 1900 	 avg length: 255 	 reward: 92
Episode 1920 	 avg length: 251 	 reward: 117
Episode 1940 	 avg length: 220 	 reward: 103
Episode 1960 	 avg length: 221 	 reward: 111
Episode 1980 	 avg length: 205 	 reward: 83
Episode 2000 	 avg length: 227 	 reward: 102
Episode 2020 	 avg length: 251 	 reward: 123
Episode 2040 	 avg length: 227 	 reward: 100
Episode 2060 	 avg length: 255 	 reward: 135
Episode 2080 	 avg length: 273 	 reward: 136
Episode 2100 	 avg length: 256 	 reward: 126
Episode 2120 	 avg length: 273 	 reward: 141
Episode 2140 	 avg length: 280 	 reward: 109
Episode 2160 	 avg length: 266 	 reward: 112
Episode 2180 	 avg length: 249 	 reward: 88
Episode 2200 	 avg length: 247 	 reward: 119
Episode 2220 	 avg length: 270 	 reward: 143
Episode 2240 	 avg length: 257 	 reward: 65
Episode 2260 	 avg length: 250 	 reward: 30
Episode 2280 	 avg length: 261 	 reward: 112
Episode 2300 	 avg length: 270 	 reward: 139
Episode 2320 	 avg length: 275 	 reward: 128
Episode 2340 	 avg length: 290 	 reward: 149
Episode 2360 	 avg length: 269 	 reward: 139
Episode 2380 	 avg length: 272 	 reward: 137
Episode 2400 	 avg length: 232 	 reward: 105
Episode 2420 	 avg length: 242 	 reward: 127
Episode 2440 	 avg length: 241 	 reward: 134
Episode 2460 	 avg length: 249 	 reward: 113
Episode 2480 	 avg length: 287 	 reward: 154
Episode 2500 	 avg length: 289 	 reward: 149
Episode 2520 	 avg length: 258 	 reward: 129
Episode 2540 	 avg length: 250 	 reward: 101
Episode 2560 	 avg length: 287 	 reward: 158
Episode 2580 	 avg length: 271 	 reward: 145
Episode 2600 	 avg length: 253 	 reward: 120
Episode 2620 	 avg length: 255 	 reward: 127
Episode 2640 	 avg length: 254 	 reward: 122
Episode 2660 	 avg length: 238 	 reward: 123
Episode 2680 	 avg length: 243 	 reward: 115
Episode 2700 	 avg length: 241 	 reward: 93
Episode 2720 	 avg length: 232 	 reward: 90
Episode 2740 	 avg length: 215 	 reward: 83
Episode 2760 	 avg length: 241 	 reward: 112
Episode 2780 	 avg length: 273 	 reward: 129
Episode 2800 	 avg length: 269 	 reward: 133
Episode 2820 	 avg length: 246 	 reward: 91
Episode 2840 	 avg length: 261 	 reward: 130
Episode 2860 	 avg length: 261 	 reward: 136
Episode 2880 	 avg length: 289 	 reward: 128
Episode 2900 	 avg length: 271 	 reward: 131
Episode 2920 	 avg length: 277 	 reward: 145
Episode 2940 	 avg length: 251 	 reward: 117
Episode 2960 	 avg length: 253 	 reward: 120
Episode 2980 	 avg length: 270 	 reward: 133
Episode 3000 	 avg length: 240 	 reward: 85
Episode 3020 	 avg length: 284 	 reward: 141
Episode 3040 	 avg length: 255 	 reward: 117
Episode 3060 	 avg length: 299 	 reward: 134
Episode 3080 	 avg length: 263 	 reward: 122
Episode 3100 	 avg length: 259 	 reward: 126
Episode 3120 	 avg length: 270 	 reward: 125
Episode 3140 	 avg length: 299 	 reward: 150
Episode 3160 	 avg length: 256 	 reward: 116
Episode 3180 	 avg length: 264 	 reward: 124
Episode 3200 	 avg length: 271 	 reward: 128
Episode 3220 	 avg length: 259 	 reward: 122
Episode 3240 	 avg length: 261 	 reward: 125
Episode 3260 	 avg length: 271 	 reward: 129
Episode 3280 	 avg length: 242 	 reward: 126
Episode 3300 	 avg length: 218 	 reward: 93
Episode 3320 	 avg length: 230 	 reward: 116
Episode 3340 	 avg length: 223 	 reward: 109
Episode 3360 	 avg length: 249 	 reward: 122
Episode 3380 	 avg length: 224 	 reward: 104
Episode 3400 	 avg length: 261 	 reward: 131
Episode 3420 	 avg length: 280 	 reward: 140
Episode 3440 	 avg length: 264 	 reward: 125
Episode 3460 	 avg length: 247 	 reward: 105
Episode 3480 	 avg length: 276 	 reward: 141
Episode 3500 	 avg length: 282 	 reward: 149
Episode 3520 	 avg length: 282 	 reward: 141
Episode 3540 	 avg length: 290 	 reward: 152
Episode 3560 	 avg length: 282 	 reward: 141
Episode 3580 	 avg length: 291 	 reward: 151
Episode 3600 	 avg length: 289 	 reward: 166
Episode 3620 	 avg length: 266 	 reward: 142
Episode 3640 	 avg length: 277 	 reward: 91
Episode 3660 	 avg length: 272 	 reward: 114
Episode 3680 	 avg length: 281 	 reward: 159
Episode 3700 	 avg length: 287 	 reward: 160
Episode 3720 	 avg length: 254 	 reward: 78
Episode 3740 	 avg length: 296 	 reward: 174
Episode 3760 	 avg length: 267 	 reward: 124
Episode 3780 	 avg length: 273 	 reward: 148
Episode 3800 	 avg length: 275 	 reward: 147
Episode 3820 	 avg length: 276 	 reward: 145
Episode 3840 	 avg length: 283 	 reward: 151
Episode 3860 	 avg length: 275 	 reward: 142
Episode 3880 	 avg length: 290 	 reward: 142
Episode 3900 	 avg length: 290 	 reward: 154
Episode 3920 	 avg length: 283 	 reward: 141
Episode 3940 	 avg length: 273 	 reward: 145
Episode 3960 	 avg length: 290 	 reward: 161
Episode 3980 	 avg length: 268 	 reward: 145
Episode 4000 	 avg length: 270 	 reward: 142
Episode 4020 	 avg length: 283 	 reward: 156
Episode 4040 	 avg length: 283 	 reward: 149
Episode 4060 	 avg length: 299 	 reward: 172
Episode 4080 	 avg length: 292 	 reward: 158
Episode 4100 	 avg length: 274 	 reward: 143
Episode 4120 	 avg length: 299 	 reward: 163
Episode 4140 	 avg length: 290 	 reward: 153
Episode 4160 	 avg length: 299 	 reward: 165
Episode 4180 	 avg length: 290 	 reward: 160
Episode 4200 	 avg length: 299 	 reward: 157
Episode 4220 	 avg length: 299 	 reward: 171
Episode 4240 	 avg length: 271 	 reward: 148
Episode 4260 	 avg length: 265 	 reward: 139
Episode 4280 	 avg length: 258 	 reward: 137
Episode 4300 	 avg length: 280 	 reward: 137
Episode 4320 	 avg length: 262 	 reward: 133
Episode 4340 	 avg length: 255 	 reward: 110
Episode 4360 	 avg length: 275 	 reward: 134
Episode 4380 	 avg length: 282 	 reward: 154
Episode 4400 	 avg length: 264 	 reward: 128
Episode 4420 	 avg length: 299 	 reward: 150
Episode 4440 	 avg length: 275 	 reward: 151
Episode 4460 	 avg length: 257 	 reward: 116
Episode 4480 	 avg length: 256 	 reward: 104
Episode 4500 	 avg length: 263 	 reward: 134
Episode 4520 	 avg length: 299 	 reward: 164
Episode 4540 	 avg length: 265 	 reward: 137
Episode 4560 	 avg length: 265 	 reward: 147
Episode 4580 	 avg length: 283 	 reward: 138
Episode 4600 	 avg length: 299 	 reward: 152
Episode 4620 	 avg length: 281 	 reward: 154
Episode 4640 	 avg length: 289 	 reward: 161
Episode 4660 	 avg length: 264 	 reward: 143
Episode 4680 	 avg length: 285 	 reward: 138
Episode 4700 	 avg length: 291 	 reward: 143
Episode 4720 	 avg length: 280 	 reward: 154
Episode 4740 	 avg length: 284 	 reward: 125
Episode 4760 	 avg length: 296 	 reward: 136
Episode 4780 	 avg length: 254 	 reward: 127
Episode 4800 	 avg length: 281 	 reward: 147
Episode 4820 	 avg length: 282 	 reward: 143
Episode 4840 	 avg length: 243 	 reward: 119
Episode 4860 	 avg length: 280 	 reward: 139
Episode 4880 	 avg length: 270 	 reward: 137
Episode 4900 	 avg length: 278 	 reward: 150
Episode 4920 	 avg length: 203 	 reward: 83
Episode 4940 	 avg length: 272 	 reward: 153
Episode 4960 	 avg length: 289 	 reward: 151
Episode 4980 	 avg length: 289 	 reward: 157
Episode 5000 	 avg length: 299 	 reward: 168
Episode 5020 	 avg length: 292 	 reward: 136
Episode 5040 	 avg length: 290 	 reward: 158
Episode 5060 	 avg length: 286 	 reward: 157
Episode 5080 	 avg length: 282 	 reward: 154
Episode 5100 	 avg length: 278 	 reward: 121
Episode 5120 	 avg length: 291 	 reward: 138
Episode 5140 	 avg length: 297 	 reward: 143
Episode 5160 	 avg length: 290 	 reward: 165
Episode 5180 	 avg length: 290 	 reward: 157
Episode 5200 	 avg length: 276 	 reward: 150
Episode 5220 	 avg length: 278 	 reward: 149
Episode 5240 	 avg length: 287 	 reward: 153
Episode 5260 	 avg length: 274 	 reward: 145
Episode 5280 	 avg length: 299 	 reward: 176
Episode 5300 	 avg length: 299 	 reward: 173
Episode 5320 	 avg length: 299 	 reward: 164
Episode 5340 	 avg length: 271 	 reward: 157
Episode 5360 	 avg length: 299 	 reward: 180
Episode 5380 	 avg length: 279 	 reward: 156
Episode 5400 	 avg length: 268 	 reward: 133
Episode 5420 	 avg length: 279 	 reward: 136
Episode 5440 	 avg length: 278 	 reward: 130
Episode 5460 	 avg length: 268 	 reward: 137
Episode 5480 	 avg length: 273 	 reward: 152
Episode 5500 	 avg length: 299 	 reward: 168
Episode 5520 	 avg length: 266 	 reward: 95
Episode 5540 	 avg length: 294 	 reward: 146
Episode 5560 	 avg length: 289 	 reward: 165
Episode 5580 	 avg length: 288 	 reward: 139
Episode 5600 	 avg length: 299 	 reward: 174
Episode 5620 	 avg length: 291 	 reward: 168
Episode 5640 	 avg length: 281 	 reward: 147
Episode 5660 	 avg length: 270 	 reward: 126
Episode 5680 	 avg length: 263 	 reward: 153
Episode 5700 	 avg length: 283 	 reward: 161
Episode 5720 	 avg length: 271 	 reward: 154
Episode 5740 	 avg length: 281 	 reward: 154
Episode 5760 	 avg length: 281 	 reward: 144
Episode 5780 	 avg length: 272 	 reward: 145
Episode 5800 	 avg length: 275 	 reward: 128
Episode 5820 	 avg length: 290 	 reward: 159
Episode 5840 	 avg length: 274 	 reward: 142
Episode 5860 	 avg length: 243 	 reward: 122
Episode 5880 	 avg length: 236 	 reward: 124
Episode 5900 	 avg length: 255 	 reward: 139
Episode 5920 	 avg length: 288 	 reward: 140
Episode 5940 	 avg length: 271 	 reward: 140
Episode 5960 	 avg length: 254 	 reward: 108
Episode 5980 	 avg length: 299 	 reward: 149
Episode 6000 	 avg length: 289 	 reward: 149
Episode 6020 	 avg length: 258 	 reward: 109
Episode 6040 	 avg length: 289 	 reward: 129
Episode 6060 	 avg length: 238 	 reward: 94
Episode 6080 	 avg length: 270 	 reward: 87
Episode 6100 	 avg length: 268 	 reward: 96
Episode 6120 	 avg length: 279 	 reward: 142
Episode 6140 	 avg length: 233 	 reward: 112
Episode 6160 	 avg length: 268 	 reward: 142
Episode 6180 	 avg length: 260 	 reward: 133
Episode 6200 	 avg length: 210 	 reward: 109
Episode 6220 	 avg length: 248 	 reward: 111
Episode 6240 	 avg length: 229 	 reward: 92
Episode 6260 	 avg length: 210 	 reward: 98
Episode 6280 	 avg length: 218 	 reward: 102
Episode 6300 	 avg length: 225 	 reward: 117
Episode 6320 	 avg length: 235 	 reward: 112
Episode 6340 	 avg length: 259 	 reward: 124
Episode 6360 	 avg length: 252 	 reward: 113
Episode 6380 	 avg length: 239 	 reward: 119
Episode 6400 	 avg length: 242 	 reward: 95
Episode 6420 	 avg length: 249 	 reward: 111
Episode 6440 	 avg length: 257 	 reward: 136
Episode 6460 	 avg length: 259 	 reward: 123
Episode 6480 	 avg length: 259 	 reward: 112
Episode 6500 	 avg length: 259 	 reward: 129
Episode 6520 	 avg length: 215 	 reward: 101
Episode 6540 	 avg length: 249 	 reward: 137
Episode 6560 	 avg length: 245 	 reward: 121
Episode 6580 	 avg length: 259 	 reward: 127
Episode 6600 	 avg length: 267 	 reward: 142
Episode 6620 	 avg length: 257 	 reward: 86
Episode 6640 	 avg length: 278 	 reward: 141
Episode 6660 	 avg length: 255 	 reward: 92
Episode 6680 	 avg length: 289 	 reward: 145
Episode 6700 	 avg length: 259 	 reward: 133
Episode 6720 	 avg length: 247 	 reward: 116
Episode 6740 	 avg length: 243 	 reward: 56
Episode 6760 	 avg length: 274 	 reward: 114
Episode 6780 	 avg length: 279 	 reward: 133
Episode 6800 	 avg length: 269 	 reward: 152
Episode 6820 	 avg length: 252 	 reward: 105
Episode 6840 	 avg length: 254 	 reward: 123
Episode 6860 	 avg length: 253 	 reward: 98
Episode 6880 	 avg length: 273 	 reward: 132
Episode 6900 	 avg length: 249 	 reward: 108
Episode 6920 	 avg length: 248 	 reward: 84
Episode 6940 	 avg length: 250 	 reward: 107
Episode 6960 	 avg length: 279 	 reward: 99
Episode 6980 	 avg length: 279 	 reward: 140
Episode 7000 	 avg length: 270 	 reward: 105
Episode 7020 	 avg length: 250 	 reward: 109
Episode 7040 	 avg length: 202 	 reward: 87
Episode 7060 	 avg length: 188 	 reward: 56
Episode 7080 	 avg length: 229 	 reward: 93
Episode 7100 	 avg length: 248 	 reward: 105
Episode 7120 	 avg length: 218 	 reward: 105
Episode 7140 	 avg length: 213 	 reward: 77
Episode 7160 	 avg length: 279 	 reward: 128
Episode 7180 	 avg length: 247 	 reward: 110
Episode 7200 	 avg length: 269 	 reward: 124
Episode 7220 	 avg length: 217 	 reward: 64
Episode 7240 	 avg length: 258 	 reward: 140
Episode 7260 	 avg length: 279 	 reward: 116
Episode 7280 	 avg length: 244 	 reward: 97
Episode 7300 	 avg length: 245 	 reward: 104
Episode 7320 	 avg length: 213 	 reward: 81
Episode 7340 	 avg length: 268 	 reward: 126
Episode 7360 	 avg length: 277 	 reward: 124
Episode 7380 	 avg length: 251 	 reward: 122
Episode 7400 	 avg length: 234 	 reward: 108
Episode 7420 	 avg length: 267 	 reward: 127
Episode 7440 	 avg length: 218 	 reward: 89
Episode 7460 	 avg length: 199 	 reward: 80
Episode 7480 	 avg length: 154 	 reward: 55
Episode 7500 	 avg length: 228 	 reward: 114
Episode 7520 	 avg length: 197 	 reward: 49
Episode 7540 	 avg length: 147 	 reward: 59
Episode 7560 	 avg length: 139 	 reward: 49
Episode 7580 	 avg length: 181 	 reward: 74
Episode 7600 	 avg length: 191 	 reward: 61
Episode 7620 	 avg length: 176 	 reward: 78
Episode 7640 	 avg length: 160 	 reward: 35
Episode 7660 	 avg length: 159 	 reward: 50
Episode 7680 	 avg length: 143 	 reward: 68
Episode 7700 	 avg length: 227 	 reward: 103
Episode 7720 	 avg length: 192 	 reward: 59
Episode 7740 	 avg length: 248 	 reward: 118
Episode 7760 	 avg length: 250 	 reward: 128
Episode 7780 	 avg length: 261 	 reward: 110
Episode 7800 	 avg length: 279 	 reward: 157
Episode 7820 	 avg length: 249 	 reward: 153
Episode 7840 	 avg length: 212 	 reward: 78
Episode 7860 	 avg length: 249 	 reward: 144
Episode 7880 	 avg length: 257 	 reward: 107
Episode 7900 	 avg length: 271 	 reward: 136
Episode 7920 	 avg length: 244 	 reward: 129
Episode 7940 	 avg length: 262 	 reward: 145
Episode 7960 	 avg length: 224 	 reward: 94
Episode 7980 	 avg length: 247 	 reward: 110
Episode 8000 	 avg length: 190 	 reward: 81
Episode 8020 	 avg length: 157 	 reward: 67
Episode 8040 	 avg length: 171 	 reward: 67
Episode 8060 	 avg length: 203 	 reward: 96
Episode 8080 	 avg length: 225 	 reward: 87
Episode 8100 	 avg length: 166 	 reward: 84
Episode 8120 	 avg length: 196 	 reward: 82
Episode 8140 	 avg length: 249 	 reward: 120
Episode 8160 	 avg length: 216 	 reward: 112
Episode 8180 	 avg length: 178 	 reward: 97
Episode 8200 	 avg length: 221 	 reward: 120
Episode 8220 	 avg length: 265 	 reward: 122
Episode 8240 	 avg length: 240 	 reward: 125
Episode 8260 	 avg length: 266 	 reward: 146
Episode 8280 	 avg length: 253 	 reward: 116
Episode 8300 	 avg length: 233 	 reward: 129
Episode 8320 	 avg length: 260 	 reward: 126
Episode 8340 	 avg length: 264 	 reward: 138
Episode 8360 	 avg length: 196 	 reward: 88
Episode 8380 	 avg length: 189 	 reward: 60
Episode 8400 	 avg length: 227 	 reward: 66
Episode 8420 	 avg length: 257 	 reward: 114
Episode 8440 	 avg length: 254 	 reward: 99
Episode 8460 	 avg length: 268 	 reward: 127
Episode 8480 	 avg length: 263 	 reward: 131
Episode 8500 	 avg length: 246 	 reward: 107
Episode 8520 	 avg length: 281 	 reward: 127
Episode 8540 	 avg length: 273 	 reward: 146
Episode 8560 	 avg length: 290 	 reward: 124
Episode 8580 	 avg length: 261 	 reward: 103
Episode 8600 	 avg length: 294 	 reward: 140
Episode 8620 	 avg length: 236 	 reward: 110
Episode 8640 	 avg length: 261 	 reward: 125
Episode 8660 	 avg length: 284 	 reward: 108
Episode 8680 	 avg length: 278 	 reward: 141
Episode 8700 	 avg length: 256 	 reward: 124
Episode 8720 	 avg length: 245 	 reward: 95
Episode 8740 	 avg length: 258 	 reward: 136
Episode 8760 	 avg length: 289 	 reward: 147
Episode 8780 	 avg length: 229 	 reward: 98
Episode 8800 	 avg length: 277 	 reward: 138
Episode 8820 	 avg length: 237 	 reward: 129
Episode 8840 	 avg length: 276 	 reward: 141
Episode 8860 	 avg length: 224 	 reward: 102
Episode 8880 	 avg length: 220 	 reward: 108
Episode 8900 	 avg length: 277 	 reward: 137
Episode 8920 	 avg length: 259 	 reward: 120
Episode 8940 	 avg length: 242 	 reward: 124
Episode 8960 	 avg length: 275 	 reward: 119
Episode 8980 	 avg length: 256 	 reward: 140
Episode 9000 	 avg length: 263 	 reward: 110
Episode 9020 	 avg length: 247 	 reward: 101
Episode 9040 	 avg length: 251 	 reward: 99
Episode 9060 	 avg length: 266 	 reward: 128
Episode 9080 	 avg length: 247 	 reward: 119
Episode 9100 	 avg length: 227 	 reward: 95
Episode 9120 	 avg length: 242 	 reward: 95
Episode 9140 	 avg length: 234 	 reward: 120
Episode 9160 	 avg length: 271 	 reward: 145
Episode 9180 	 avg length: 234 	 reward: 106
Episode 9200 	 avg length: 230 	 reward: 102
Episode 9220 	 avg length: 217 	 reward: 111
Episode 9240 	 avg length: 182 	 reward: 68
Episode 9260 	 avg length: 225 	 reward: 111
Episode 9280 	 avg length: 224 	 reward: 110
Episode 9300 	 avg length: 195 	 reward: 97
Episode 9320 	 avg length: 245 	 reward: 110
Episode 9340 	 avg length: 249 	 reward: 87
Episode 9360 	 avg length: 238 	 reward: 105
Episode 9380 	 avg length: 231 	 reward: 83
Episode 9400 	 avg length: 245 	 reward: 60
Episode 9420 	 avg length: 251 	 reward: 81
Episode 9440 	 avg length: 218 	 reward: 86
Episode 9460 	 avg length: 177 	 reward: 62
Episode 9480 	 avg length: 212 	 reward: 64
Episode 9500 	 avg length: 213 	 reward: 96
Episode 9520 	 avg length: 267 	 reward: 121
Episode 9540 	 avg length: 195 	 reward: 89
Episode 9560 	 avg length: 259 	 reward: 140
Episode 9580 	 avg length: 246 	 reward: 116
Episode 9600 	 avg length: 266 	 reward: 122
Episode 9620 	 avg length: 255 	 reward: 104
Episode 9640 	 avg length: 203 	 reward: 116
Episode 9660 	 avg length: 239 	 reward: 117
Episode 9680 	 avg length: 239 	 reward: 118
Episode 9700 	 avg length: 254 	 reward: 137
Episode 9720 	 avg length: 269 	 reward: 144
Episode 9740 	 avg length: 274 	 reward: 136
Episode 9760 	 avg length: 259 	 reward: 123
Episode 9780 	 avg length: 230 	 reward: 102
Episode 9800 	 avg length: 268 	 reward: 139
Episode 9820 	 avg length: 258 	 reward: 120
Episode 9840 	 avg length: 271 	 reward: 111
Episode 9860 	 avg length: 260 	 reward: 130
Episode 9880 	 avg length: 280 	 reward: 135
Episode 9900 	 avg length: 269 	 reward: 126
Episode 9920 	 avg length: 290 	 reward: 159
Episode 9940 	 avg length: 286 	 reward: 129
Episode 9960 	 avg length: 259 	 reward: 117
Episode 9980 	 avg length: 299 	 reward: 139
Episode 10000 	 avg length: 298 	 reward: 141
Episode 10020 	 avg length: 294 	 reward: 115
Episode 10040 	 avg length: 284 	 reward: 117
Episode 10060 	 avg length: 299 	 reward: 156
Episode 10080 	 avg length: 290 	 reward: 145
Episode 10100 	 avg length: 280 	 reward: 151
Episode 10120 	 avg length: 299 	 reward: 163
Episode 10140 	 avg length: 290 	 reward: 151
Episode 10160 	 avg length: 269 	 reward: 133
Episode 10180 	 avg length: 259 	 reward: 134
Episode 10200 	 avg length: 272 	 reward: 137
Episode 10220 	 avg length: 260 	 reward: 121
Episode 10240 	 avg length: 259 	 reward: 103
Episode 10260 	 avg length: 260 	 reward: 126
Episode 10280 	 avg length: 279 	 reward: 150
Episode 10300 	 avg length: 268 	 reward: 128
Episode 10320 	 avg length: 261 	 reward: 140
Episode 10340 	 avg length: 243 	 reward: 111
Episode 10360 	 avg length: 236 	 reward: 113
Episode 10380 	 avg length: 219 	 reward: 112
Episode 10400 	 avg length: 267 	 reward: 140
Episode 10420 	 avg length: 279 	 reward: 146
Episode 10440 	 avg length: 285 	 reward: 137
Episode 10460 	 avg length: 255 	 reward: 107
Episode 10480 	 avg length: 249 	 reward: 115
Episode 10500 	 avg length: 241 	 reward: 106
Episode 10520 	 avg length: 219 	 reward: 102
Episode 10540 	 avg length: 200 	 reward: 52
Episode 10560 	 avg length: 267 	 reward: 124
Episode 10580 	 avg length: 235 	 reward: 111
Episode 10600 	 avg length: 223 	 reward: 86
Episode 10620 	 avg length: 220 	 reward: 90
Episode 10640 	 avg length: 269 	 reward: 145
Episode 10660 	 avg length: 255 	 reward: 133
Episode 10680 	 avg length: 277 	 reward: 130
Episode 10700 	 avg length: 280 	 reward: 142
Episode 10720 	 avg length: 278 	 reward: 128
Episode 10740 	 avg length: 260 	 reward: 90
Episode 10760 	 avg length: 288 	 reward: 145
Episode 10780 	 avg length: 238 	 reward: 94
Episode 10800 	 avg length: 278 	 reward: 136
Episode 10820 	 avg length: 288 	 reward: 150
Episode 10840 	 avg length: 280 	 reward: 148
Episode 10860 	 avg length: 240 	 reward: 117
Episode 10880 	 avg length: 257 	 reward: 124
Episode 10900 	 avg length: 261 	 reward: 130
Episode 10920 	 avg length: 229 	 reward: 115
Episode 10940 	 avg length: 259 	 reward: 144
Episode 10960 	 avg length: 238 	 reward: 138
Episode 10980 	 avg length: 230 	 reward: 112
Episode 11000 	 avg length: 254 	 reward: 126
Episode 11020 	 avg length: 281 	 reward: 141
Episode 11040 	 avg length: 270 	 reward: 120
Episode 11060 	 avg length: 297 	 reward: 174
Episode 11080 	 avg length: 261 	 reward: 138
Episode 11100 	 avg length: 259 	 reward: 125
Episode 11120 	 avg length: 292 	 reward: 173
Episode 11140 	 avg length: 275 	 reward: 146
Episode 11160 	 avg length: 299 	 reward: 165
Episode 11180 	 avg length: 299 	 reward: 175
Episode 11200 	 avg length: 289 	 reward: 161
Episode 11220 	 avg length: 299 	 reward: 166
Episode 11240 	 avg length: 278 	 reward: 160
Episode 11260 	 avg length: 290 	 reward: 142
Episode 11280 	 avg length: 299 	 reward: 164
Episode 11300 	 avg length: 279 	 reward: 155
Episode 11320 	 avg length: 299 	 reward: 178
Episode 11340 	 avg length: 299 	 reward: 150
Episode 11360 	 avg length: 265 	 reward: 110
Episode 11380 	 avg length: 288 	 reward: 156
Episode 11400 	 avg length: 278 	 reward: 146
Episode 11420 	 avg length: 268 	 reward: 141
Episode 11440 	 avg length: 291 	 reward: 130
Episode 11460 	 avg length: 299 	 reward: 161
Episode 11480 	 avg length: 284 	 reward: 142
Episode 11500 	 avg length: 262 	 reward: 132
Episode 11520 	 avg length: 287 	 reward: 149
Episode 11540 	 avg length: 288 	 reward: 150
Episode 11560 	 avg length: 288 	 reward: 157
Episode 11580 	 avg length: 288 	 reward: 156
Episode 11600 	 avg length: 284 	 reward: 133
Episode 11620 	 avg length: 287 	 reward: 152
Episode 11640 	 avg length: 249 	 reward: 130
Episode 11660 	 avg length: 240 	 reward: 106
Episode 11680 	 avg length: 271 	 reward: 131
Episode 11700 	 avg length: 271 	 reward: 117
Episode 11720 	 avg length: 286 	 reward: 143
Episode 11740 	 avg length: 293 	 reward: 150
Episode 11760 	 avg length: 289 	 reward: 155
Episode 11780 	 avg length: 290 	 reward: 137
Episode 11800 	 avg length: 289 	 reward: 133
Episode 11820 	 avg length: 273 	 reward: 121
Episode 11840 	 avg length: 274 	 reward: 109
Episode 11860 	 avg length: 261 	 reward: 147
Episode 11880 	 avg length: 210 	 reward: 114
Episode 11900 	 avg length: 245 	 reward: 143
Episode 11920 	 avg length: 210 	 reward: 115
Episode 11940 	 avg length: 218 	 reward: 102
Episode 11960 	 avg length: 214 	 reward: 102
Episode 11980 	 avg length: 269 	 reward: 133
Episode 12000 	 avg length: 262 	 reward: 144
Episode 12020 	 avg length: 235 	 reward: 131
Episode 12040 	 avg length: 253 	 reward: 149
Episode 12060 	 avg length: 227 	 reward: 120
Episode 12080 	 avg length: 202 	 reward: 98
Episode 12100 	 avg length: 240 	 reward: 117
Episode 12120 	 avg length: 231 	 reward: 108
Episode 12140 	 avg length: 230 	 reward: 122
Episode 12160 	 avg length: 228 	 reward: 108
Episode 12180 	 avg length: 233 	 reward: 96
Episode 12200 	 avg length: 252 	 reward: 123
Episode 12220 	 avg length: 272 	 reward: 154
Episode 12240 	 avg length: 251 	 reward: 122
Episode 12260 	 avg length: 273 	 reward: 147
Episode 12280 	 avg length: 239 	 reward: 111
Episode 12300 	 avg length: 287 	 reward: 126
Episode 12320 	 avg length: 278 	 reward: 121
Episode 12340 	 avg length: 258 	 reward: 120
Episode 12360 	 avg length: 265 	 reward: 104
Episode 12380 	 avg length: 279 	 reward: 118
Episode 12400 	 avg length: 254 	 reward: 72
Episode 12420 	 avg length: 187 	 reward: 74
Episode 12440 	 avg length: 244 	 reward: 90
Episode 12460 	 avg length: 228 	 reward: 116
Episode 12480 	 avg length: 258 	 reward: 125
Episode 12500 	 avg length: 247 	 reward: 118
Episode 12520 	 avg length: 244 	 reward: 101
Episode 12540 	 avg length: 267 	 reward: 135
Episode 12560 	 avg length: 253 	 reward: 99
Episode 12580 	 avg length: 285 	 reward: 135
Episode 12600 	 avg length: 259 	 reward: 113
Episode 12620 	 avg length: 256 	 reward: 108
Episode 12640 	 avg length: 238 	 reward: 114
Episode 12660 	 avg length: 265 	 reward: 128
Episode 12680 	 avg length: 289 	 reward: 145
Episode 12700 	 avg length: 287 	 reward: 147
Episode 12720 	 avg length: 283 	 reward: 139
Episode 12740 	 avg length: 255 	 reward: 108
Episode 12760 	 avg length: 299 	 reward: 150
Episode 12780 	 avg length: 277 	 reward: 138
Episode 12800 	 avg length: 290 	 reward: 151
Episode 12820 	 avg length: 284 	 reward: 159
Episode 12840 	 avg length: 299 	 reward: 150
Episode 12860 	 avg length: 289 	 reward: 146
Episode 12880 	 avg length: 299 	 reward: 158
Episode 12900 	 avg length: 299 	 reward: 144
Episode 12920 	 avg length: 279 	 reward: 129
Episode 12940 	 avg length: 282 	 reward: 132
Episode 12960 	 avg length: 280 	 reward: 132
Episode 12980 	 avg length: 278 	 reward: 108
Episode 13000 	 avg length: 284 	 reward: 136
Episode 13020 	 avg length: 289 	 reward: 128
Episode 13040 	 avg length: 291 	 reward: 149
Episode 13060 	 avg length: 299 	 reward: 140
Episode 13080 	 avg length: 292 	 reward: 141
Episode 13100 	 avg length: 290 	 reward: 139
Episode 13120 	 avg length: 299 	 reward: 139
Episode 13140 	 avg length: 291 	 reward: 151
Episode 13160 	 avg length: 291 	 reward: 141
Episode 13180 	 avg length: 299 	 reward: 169
Episode 13200 	 avg length: 299 	 reward: 162
Episode 13220 	 avg length: 299 	 reward: 170
Episode 13240 	 avg length: 299 	 reward: 170
Episode 13260 	 avg length: 299 	 reward: 155
Episode 13280 	 avg length: 299 	 reward: 153
Episode 13300 	 avg length: 299 	 reward: 163
Episode 13320 	 avg length: 281 	 reward: 131
Episode 13340 	 avg length: 289 	 reward: 153
Episode 13360 	 avg length: 285 	 reward: 133
Episode 13380 	 avg length: 280 	 reward: 134
Episode 13400 	 avg length: 282 	 reward: 134
Episode 13420 	 avg length: 268 	 reward: 114
Episode 13440 	 avg length: 290 	 reward: 142
Episode 13460 	 avg length: 270 	 reward: 145
Episode 13480 	 avg length: 257 	 reward: 127
Episode 13500 	 avg length: 272 	 reward: 139
Episode 13520 	 avg length: 270 	 reward: 129
Episode 13540 	 avg length: 279 	 reward: 149
Episode 13560 	 avg length: 269 	 reward: 95
Episode 13580 	 avg length: 270 	 reward: 113
Episode 13600 	 avg length: 258 	 reward: 125
Episode 13620 	 avg length: 217 	 reward: 88
Episode 13640 	 avg length: 157 	 reward: 59
Episode 13660 	 avg length: 132 	 reward: 41
Episode 13680 	 avg length: 220 	 reward: 92
Episode 13700 	 avg length: 241 	 reward: 109
Episode 13720 	 avg length: 252 	 reward: 127
Episode 13740 	 avg length: 253 	 reward: 104
Episode 13760 	 avg length: 269 	 reward: 128
Episode 13780 	 avg length: 230 	 reward: 96
Episode 13800 	 avg length: 258 	 reward: 127
Episode 13820 	 avg length: 290 	 reward: 151
Episode 13840 	 avg length: 299 	 reward: 135
Episode 13860 	 avg length: 280 	 reward: 111
Episode 13880 	 avg length: 268 	 reward: 124
Episode 13900 	 avg length: 255 	 reward: 93
Episode 13920 	 avg length: 258 	 reward: 128
Episode 13940 	 avg length: 244 	 reward: 127
Episode 13960 	 avg length: 238 	 reward: 117
Episode 13980 	 avg length: 237 	 reward: 104
Episode 14000 	 avg length: 251 	 reward: 123
Episode 14020 	 avg length: 267 	 reward: 114
Episode 14040 	 avg length: 271 	 reward: 109
Episode 14060 	 avg length: 247 	 reward: 117
Episode 14080 	 avg length: 282 	 reward: 129
Episode 14100 	 avg length: 266 	 reward: 144
Episode 14120 	 avg length: 256 	 reward: 132
Episode 14140 	 avg length: 267 	 reward: 140
Episode 14160 	 avg length: 289 	 reward: 149
Episode 14180 	 avg length: 262 	 reward: 95
Episode 14200 	 avg length: 278 	 reward: 128
Episode 14220 	 avg length: 279 	 reward: 136
Episode 14240 	 avg length: 249 	 reward: 105
Episode 14260 	 avg length: 235 	 reward: 112
Episode 14280 	 avg length: 273 	 reward: 131
Episode 14300 	 avg length: 278 	 reward: 130
Episode 14320 	 avg length: 259 	 reward: 123
Episode 14340 	 avg length: 234 	 reward: 78
Episode 14360 	 avg length: 268 	 reward: 125
Episode 14380 	 avg length: 294 	 reward: 153
Episode 14400 	 avg length: 299 	 reward: 150
Episode 14420 	 avg length: 278 	 reward: 129
Episode 14440 	 avg length: 297 	 reward: 155
Episode 14460 	 avg length: 247 	 reward: 106
Episode 14480 	 avg length: 289 	 reward: 154
Episode 14500 	 avg length: 270 	 reward: 133
Episode 14520 	 avg length: 259 	 reward: 133
Episode 14540 	 avg length: 280 	 reward: 151
Episode 14560 	 avg length: 268 	 reward: 129
Episode 14580 	 avg length: 299 	 reward: 159
Episode 14600 	 avg length: 279 	 reward: 131
Episode 14620 	 avg length: 242 	 reward: 100
Episode 14640 	 avg length: 236 	 reward: 114
Episode 14660 	 avg length: 253 	 reward: 132
Episode 14680 	 avg length: 272 	 reward: 134
Episode 14700 	 avg length: 297 	 reward: 175
Episode 14720 	 avg length: 278 	 reward: 148
Episode 14740 	 avg length: 289 	 reward: 154
Episode 14760 	 avg length: 288 	 reward: 148
Episode 14780 	 avg length: 278 	 reward: 140
Episode 14800 	 avg length: 266 	 reward: 128
Episode 14820 	 avg length: 288 	 reward: 161
Episode 14840 	 avg length: 278 	 reward: 145
Episode 14860 	 avg length: 290 	 reward: 161
Episode 14880 	 avg length: 279 	 reward: 139
Episode 14900 	 avg length: 284 	 reward: 155
Episode 14920 	 avg length: 245 	 reward: 136
Episode 14940 	 avg length: 269 	 reward: 137
Episode 14960 	 avg length: 262 	 reward: 146
Episode 14980 	 avg length: 299 	 reward: 154
Episode 15000 	 avg length: 273 	 reward: 172
Episode 15020 	 avg length: 278 	 reward: 142
Episode 15040 	 avg length: 277 	 reward: 150
Episode 15060 	 avg length: 232 	 reward: 119
Episode 15080 	 avg length: 280 	 reward: 141
Episode 15100 	 avg length: 260 	 reward: 137
Episode 15120 	 avg length: 285 	 reward: 167
Episode 15140 	 avg length: 280 	 reward: 149
Episode 15160 	 avg length: 237 	 reward: 118
Episode 15180 	 avg length: 223 	 reward: 111
Episode 15200 	 avg length: 243 	 reward: 134
Episode 15220 	 avg length: 269 	 reward: 138
Episode 15240 	 avg length: 251 	 reward: 127
Episode 15260 	 avg length: 289 	 reward: 157
Episode 15280 	 avg length: 229 	 reward: 107
Episode 15300 	 avg length: 277 	 reward: 143
Episode 15320 	 avg length: 288 	 reward: 154
Episode 15340 	 avg length: 289 	 reward: 149
Episode 15360 	 avg length: 288 	 reward: 145
Episode 15380 	 avg length: 260 	 reward: 134
Episode 15400 	 avg length: 246 	 reward: 126
Episode 15420 	 avg length: 244 	 reward: 132
Episode 15440 	 avg length: 272 	 reward: 129
Episode 15460 	 avg length: 267 	 reward: 134
Episode 15480 	 avg length: 263 	 reward: 135
Episode 15500 	 avg length: 280 	 reward: 141
Episode 15520 	 avg length: 254 	 reward: 126
Episode 15540 	 avg length: 275 	 reward: 133
Episode 15560 	 avg length: 271 	 reward: 120
Episode 15580 	 avg length: 270 	 reward: 130
Episode 15600 	 avg length: 299 	 reward: 144
Episode 15620 	 avg length: 254 	 reward: 88
Episode 15640 	 avg length: 271 	 reward: 126
Episode 15660 	 avg length: 289 	 reward: 153
Episode 15680 	 avg length: 231 	 reward: 104
Episode 15700 	 avg length: 227 	 reward: 127
Episode 15720 	 avg length: 174 	 reward: 82
Episode 15740 	 avg length: 214 	 reward: 92
Episode 15760 	 avg length: 190 	 reward: 89
Episode 15780 	 avg length: 159 	 reward: 49
Episode 15800 	 avg length: 222 	 reward: 100
Episode 15820 	 avg length: 269 	 reward: 133
Episode 15840 	 avg length: 243 	 reward: 100
Episode 15860 	 avg length: 191 	 reward: 68
Episode 15880 	 avg length: 221 	 reward: 86
Episode 15900 	 avg length: 206 	 reward: 109
Episode 15920 	 avg length: 228 	 reward: 89
Episode 15940 	 avg length: 250 	 reward: 108
Episode 15960 	 avg length: 229 	 reward: 110
Episode 15980 	 avg length: 263 	 reward: 139
Episode 16000 	 avg length: 250 	 reward: 125
Episode 16020 	 avg length: 270 	 reward: 140
Episode 16040 	 avg length: 251 	 reward: 131
Episode 16060 	 avg length: 258 	 reward: 124
Episode 16080 	 avg length: 268 	 reward: 130
Episode 16100 	 avg length: 263 	 reward: 125
Episode 16120 	 avg length: 280 	 reward: 150
Episode 16140 	 avg length: 267 	 reward: 132
Episode 16160 	 avg length: 284 	 reward: 137
Episode 16180 	 avg length: 275 	 reward: 128
Episode 16200 	 avg length: 269 	 reward: 132
Episode 16220 	 avg length: 280 	 reward: 132
Episode 16240 	 avg length: 279 	 reward: 145
Episode 16260 	 avg length: 299 	 reward: 152
Episode 16280 	 avg length: 238 	 reward: 112
Episode 16300 	 avg length: 284 	 reward: 159
Episode 16320 	 avg length: 280 	 reward: 136
Episode 16340 	 avg length: 271 	 reward: 120
Episode 16360 	 avg length: 281 	 reward: 139
Episode 16380 	 avg length: 267 	 reward: 141
Episode 16400 	 avg length: 299 	 reward: 164
Episode 16420 	 avg length: 239 	 reward: 113
Episode 16440 	 avg length: 276 	 reward: 143
Episode 16460 	 avg length: 268 	 reward: 144
Episode 16480 	 avg length: 269 	 reward: 134
Episode 16500 	 avg length: 273 	 reward: 148
Episode 16520 	 avg length: 247 	 reward: 97
Episode 16540 	 avg length: 266 	 reward: 129
Episode 16560 	 avg length: 267 	 reward: 119
Episode 16580 	 avg length: 270 	 reward: 124
Episode 16600 	 avg length: 262 	 reward: 101
Episode 16620 	 avg length: 257 	 reward: 121
Episode 16640 	 avg length: 233 	 reward: 99
Episode 16660 	 avg length: 268 	 reward: 114
Episode 16680 	 avg length: 261 	 reward: 126
Episode 16700 	 avg length: 278 	 reward: 143
Episode 16720 	 avg length: 278 	 reward: 117
Episode 16740 	 avg length: 266 	 reward: 135
Episode 16760 	 avg length: 282 	 reward: 140
Episode 16780 	 avg length: 299 	 reward: 154
Episode 16800 	 avg length: 279 	 reward: 144
Episode 16820 	 avg length: 281 	 reward: 124
Episode 16840 	 avg length: 280 	 reward: 132
Episode 16860 	 avg length: 278 	 reward: 148
Episode 16880 	 avg length: 280 	 reward: 113
Episode 16900 	 avg length: 268 	 reward: 133
Episode 16920 	 avg length: 291 	 reward: 147
Episode 16940 	 avg length: 274 	 reward: 150
Episode 16960 	 avg length: 281 	 reward: 137
Episode 16980 	 avg length: 251 	 reward: 126
Episode 17000 	 avg length: 261 	 reward: 135
Episode 17020 	 avg length: 267 	 reward: 105
Episode 17040 	 avg length: 274 	 reward: 176
Episode 17060 	 avg length: 262 	 reward: 131
Episode 17080 	 avg length: 186 	 reward: 184
Episode 17100 	 avg length: 225 	 reward: 150
Episode 17120 	 avg length: 201 	 reward: 218
Episode 17140 	 avg length: 211 	 reward: 220
Episode 17160 	 avg length: 221 	 reward: 218
Episode 17180 	 avg length: 232 	 reward: 210
Episode 17200 	 avg length: 216 	 reward: 220
Episode 17220 	 avg length: 226 	 reward: 203
Episode 17240 	 avg length: 198 	 reward: 170
Episode 17260 	 avg length: 196 	 reward: 222
Episode 17280 	 avg length: 214 	 reward: 196
Episode 17300 	 avg length: 229 	 reward: 205
Episode 17320 	 avg length: 183 	 reward: 192
Episode 17340 	 avg length: 212 	 reward: 186
Episode 17360 	 avg length: 192 	 reward: 164
########## Solved! ##########

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