From 8179e22a939eea8a9dd365af6ff362d4b02b3e17 Mon Sep 17 00:00:00 2001 From: NickKok Date: Mon, 4 Jul 2022 22:16:55 +0800 Subject: [PATCH] Added KHR-3HV tutorial Added images --- advancedTutorial/README.md | 555 ++++++++++++++++++ advancedTutorial/images/clickPlay.png | Bin 0 -> 831051 bytes .../images/end-up-khr-3hv-world.png | Bin 0 -> 836945 bytes advancedTutorial/images/khr-3hv.gif | Bin 0 -> 1180160 bytes advancedTutorial/images/khr3hv_reward.png | Bin 0 -> 152556 bytes .../images/newProjectMenuScreenshot.png | Bin 0 -> 42034 bytes .../images/projectCreatedScreenshot.png | Bin 0 -> 115092 bytes .../images/worldSettingsScreenshot.png | Bin 0 -> 35208 bytes 8 files changed, 555 insertions(+) create mode 100644 advancedTutorial/README.md create mode 100644 advancedTutorial/images/clickPlay.png create mode 100644 advancedTutorial/images/end-up-khr-3hv-world.png create mode 100644 advancedTutorial/images/khr-3hv.gif create mode 100644 advancedTutorial/images/khr3hv_reward.png create mode 100644 advancedTutorial/images/newProjectMenuScreenshot.png create mode 100644 advancedTutorial/images/projectCreatedScreenshot.png create mode 100644 advancedTutorial/images/worldSettingsScreenshot.png diff --git a/advancedTutorial/README.md b/advancedTutorial/README.md new file mode 100644 index 0000000..e86e925 --- /dev/null +++ b/advancedTutorial/README.md @@ -0,0 +1,555 @@ +# khr-3hv: Robot-Supervisor Tutorial + +![Solved cartpole demonstration](images/khr-3hv.gif) + +This tutorial shows the creation of the [humanoid](https://gym.openai.com/envs/Humanoid-v2/) problem using the updated +version of the [*deepbots framework*](https://github.com/aidudezzz/deepbots), utilizing the +[robot-supervisor scheme](https://github.com/aidudezzz/deepbots#combined-robot-supervisor-scheme). + +The first parts of the tutorial are identical to the +[deepbots CartPole tutorial](https://github.com/aidudezzz/deepbots-tutorials/tree/master/robotSupervisorSchemeTutorial) that, also, uses the +[robot-supervisor scheme](https://github.com/aidudezzz/deepbots#combined-robot-supervisor-scheme). The tutorial doesn't assume any familiarity with the [Webots](https://cyberbotics.com/) simulator. + +We will create the [humanoid](https://gym.openai.com/envs/Humanoid-v2/) agent step-by-step, by the use of [khr-3hv](https://www.cyberbotics.com/doc/guide/khr-3hv) Robot from +[Webots](https://cyberbotics.com/) simulator. To learn the agent to walk as far as possible. We will incorporate the +[Proximal Policy Optimization](https://openai.com/blog/openai-baselines-ppo/) (PPO) algorithm, using the [Stable-Basilens](https://stable-baselines3.readthedocs.io/en/master/modules/ppo.html) framework. +Also, it is possible the use of [Ray](https://docs.ray.io/en/master/rllib-algorithms.html#ppo) PPO (setting True the hyperparameter useRay). + + +You can check the complete example [here](https://github.com/aidudezzz/deepworlds/tree/dev/examples/khr-3hv) with all the scripts and nodes used in this tutorial. +The khr-3hv example is available on the [deepworlds](https://github.com/aidudezzz/deepworlds/) repository. + + +## Prerequisites + +If you wish you could use the deepbot [docker](https://github.com/aidudezzz/deepbots/tree/dev/docker) for greater ease of use. + +_Please note that this tutorial targets the newest deepbots release (0.1.3) which is currently in development, +you can install the dev version with this command:_ + +`pip install -i https://test.pypi.org/simple/ deepbots`_ + +Other needed libraries: + +`pip install gym==0.17.2 +numpy==1.19.2 +tensorflow==2.5.0 +stable-baselines3 +ray==1.2.0 +torch==1.8.1 +wandb` + + +## Creating the project on Webots + +First of all, we should create a new project. + +1. Open Webots and on the menu bar, click *"Wizards -> New Project Directory..."*\ + ![New project menu option](images/newProjectMenuScreenshot.png) +2. Select a directory of your choice +3. On world settings, give your world a name, e.g. "khr-3hv.wbt" \ + ![World settings](images/worldSettingsScreenshot.png) +4. Press Next +5. Press Finish. +6. You should see this:\ + ![Project created](images/projectCreatedScreenshot.png) + +7. Then download the khr-3hv [world](https://github.com/aidudezzz/deepworlds/blob/dev/examples/khr-3hv/worlds/khr-3hv.wbt) and replace it with the *created* one (on path: project-name/worlds). +8. Press the refresh button on Webots. Then you should end up with this:\ + ![khr-3hv created](images/end-up-khr-3hv-world.png) + + + +### Adding the controllers + +First you have to download the [controllers](https://github.com/aidudezzz/deepworlds/tree/dev/examples/khr-3hv/controllers) and add those files on the path: project-name/controllers. + +So the structures of the files should be: +* controllers folder + * supervisorsManager folder + * python files + +### Code overview + +Before starting explaining the code, we take a look at the general workflow of the framework. + +On the *supervisorsManager* we declare the value of each hyperparameter +for the PPO algorithm. We Store all those hyperparameters on a class, *ModelArgs*, for more compact use of them. Also, on this file exist some general variables (i.e., the name on the Wandb project, the use of Ray or Stable Baseline, etc.). + +Then from this file, we call the run function of *PPORun*. Where we declare the use of stable Baseline or the Ray PPO, for the training or evaluation proccess. + +Finally, on the *khr3hvEnv* file, we have implemented the basic methods of *get_observations*, *get_reward*, *is_done* , *apply_action* and *reset*. Those methods are based on the general standard environment as exists at the [OpenAI Gym](https://gym.openai.com/) framework. +These methods compose the *environment* that the RL agent interacts with. + + +### Explaining the files + +Now we will explain the use of each function of each of the provided files on the supervisorsManager folder. + + +### supervisorsManager + +This is the main file of our project. In the below code, we declare the variables: +1. Name of Wandb project. +2. Saving frequency on the Wandb. Note: smaller number of frequency implies latency on the algorithm. +3. Boolean value for *train* or *evaluation* phase. +4. Use of Ray (True) or Stable-Baseline (False) PPO. +5. Output folder. +``` +PROJECT_NAME = "Test" +WANDB_SAVE_FREQ = 100 # Logging Frequency on wandb +TRAIN = True # Train or evaluate the model +USE_Ray = True # Use Ray or Stable-Baseline +OUTPUT = 'results/' # Output dir +``` +Then we declare the hyperparameters that are needed on PPO for both frameworks. + +```python +lr = 1e-4 +gamma = 0.995 +gae_lambda = 0.95 +clip_param = 0.2 +``` +In case of the that you would like to use the Ray. It is incorporating also the following hyperparameters. + +```python +kl_coeff = 1.0 +num_sgd_iter = 10 +sgd_minibatch_size = 64 +train_batch_size = 64 +num_workers = 1 +num_gpus = 0 +batch_mode = "complete_episodes" +observation_filter ="MeanStdFilter" +``` +Finally, on the main function. We print a *Hello* message to indicate the start of the algorithm. Then we pass on the parameters on the *ModelArgs* class for better compact use of them and we call the run function from the PPORun. + +```python + print("Hello") + args = ModelArgs(lr=lr, gamma=gamma, gae_lambda=gae_lambda, + clip_param=clip_param, kl_coeff=kl_coeff, + num_sgd_iter=num_sgd_iter, + sgd_minibatch_size=sgd_minibatch_size, + train_batch_size=train_batch_size, + num_workers=num_workers, num_gpus=num_gpus, + batch_mode=batch_mode, + observation_filter=observation_filter) + + PPORun.run(PROJECT_NAME, WANDB_SAVE_FREQ, TRAIN, USE_Ray, + OUTPUT, args) +``` + + + +### Args +This file represents a python Class with the name *ModelArgs*. The use of this class is for better ease of use of the hyperparameters that are needed for the PPO algorithm. Some of those hyperparameters are common on the *Stable-Baseline* and *Ray* framework (i.e., lr, gamma, gae_lamda, clip_param). All the others are only used by *Ray*. +```python +class ModelArgs(object): + def __init__(self, lr, gamma, gae_lambda, clip_param, kl_coeff, num_sgd_iter,sgd_minibatch_size, train_batch_size, num_workers, num_gpus, batch_mode, observation_filter): + + self.lr = lr + self.gamma = gamma + self.gae_lambda = gae_lambda + self.clip_param = clip_param + self.kl_coeff = kl_coeff + self.num_sgd_iter = num_sgd_iter + self.sgd_minibatch_size = sgd_minibatch_size + self.train_batch_size = train_batch_size + self.num_workers = num_workers + self.num_gpus = num_gpus + self.batch_mode = batch_mode + self.observation_filter = observation_filter +``` + +### PPORun + +On the PPORun file exist the use of the two RL framework to train or evaluate the PPO algorithm. In addition , it is implemented a learning rate scheduler function (used by Stable-Baseline). Where it decreases the learning rate as time progressing. + +```python +def linear_schedule(initial_value: float) -> Callable[[float], float]: + """ + Linear learning rate schedule. + + :param initial_value: + :return: current learning rate depending on remaining progress + """ + if isinstance(initial_value, str): + initial_value = float(initial_value) + + def func(progress_remaining: float) -> float: + """ + Progress will decrease from 1 (beginning) to 0 + :param progress_remaining: (float) + :return: (float) + """ + return progress_remaining * initial_value + + return func +``` +On the run function, we check which of the two frameworks we are going to use. +By the use of Ray, we have to register the environment by the Ray function *register_env*, otherwise, there are compatibility errors. In addition, we declare the model hyperparameters and the stop criteria. + +```python +def run(projectName, wandbSaveFreq, train, useRay, output, args): + + if useRay: + # Register the enviroment to be used by Ray + register_env("khr3hv", lambda config: khr3hvRobotSupervisor(projectName, wandbSaveFreq, train, useRay)) + # Model hyperparameters + model_config = { + "env": "khr3hv", + "model":{ + "fcnet_hiddens": [256, 256], + "fcnet_activation": "relu", # tanh or relu + }, + "lr": args.lr, + "framework": "torch", + "gamma": args.gamma, + "lambda": args.gae_lambda, + "clip_param": args.clip_param, + "kl_coeff": args.kl_coeff, + "num_sgd_iter": args.num_sgd_iter, + "sgd_minibatch_size": args.sgd_minibatch_size, + "horizon": 200, + "train_batch_size": args.train_batch_size, + "num_workers": args.num_workers, + "num_gpus": args.num_gpus, + "batch_mode": args.batch_mode, + "observation_filter": args.observation_filter + } + # Stop criteria for training + stop = { + "timesteps_total": 100e6, + } +``` +In the case of *training* with Ray, we use the Ray Tune to run the PPOTrainer. The use of the callbacks function saves the weight of the model at each given timestep on the output folder. It is, also, outputs the learning curves on the wandb website. However, the use of the wandb needs to provide the path of the file that exists your wandb API key. + +```python +if train: + tune.run(ppo.PPOTrainer, + config=model_config, + stop=stop, + callbacks=[WandbLoggerCallback( + project=projectName, + api_key_file="path-to/wandb.txt", + log_config=True)], + local_dir=output, + checkpoint_freq=wandbSaveFreq, + checkpoint_at_end=True) + ray.shutdown() +``` + +In the case of *evaluation* with Ray, we use the same hyperparameters that had been used for training. Moreover, we restore the weight of the timestep that we want. Then we create a new environment of khr3hv Robot and let the trained agent interact with it. When the episode termination criteria are satisfied, we print the accumulated reward and reset the environment. + +```python +else: + # Crate an agent having the predifined model hyperparameters + agent = ppo.PPOTrainer(config=model_config) + # Restore the train weights + agent.restore("./results/trained-Agent") + + # Use the enviroment of khr3hv Robot + khr3hv_env = khr3hvRobotSupervisor(projectName, wandbSaveFreqtrain, useRay) + # Reset the enviroment and test the trained agent + obs = khr3hv_env.reset() + khr3hv_env.episodeScore = 0 + while True: + action, _states = agent.compute_action(obs) + obs, reward, done, _ = khr3hv_env.step(action) + # Accumulate episode reward + khr3hv_env.episodeScore += reward + + if done: + print("Reward accumulated =", khr3hv_env.episodeScore) + khr3hv_env.episodeScore = 0 + obs = khr3hv_env.reset() +``` +For the Stable-Baseline PPO *training*, we create an instance of the khr3hv Robot environment. We initiate the wandb with the provided project name. We use a callback function to save the weight of the model at each given timestep on the output folder. By the policy_kwargs we could specify the *activation* function and the neural net *size* of the model. Following, we check if the environment is compatible with the stable-baseline. Then we create the model with the provided hyperparameters and we train it. + +```python +# Use the enviroment of khr3hv Robot +khr3hv_env = khr3hvRobotSupervisor(projectName, wandbSaveFreq, train, useRay) + +if train: + # Init the wandb providing the project name + wandb.init(project=projectName) + + # Save a checkpoint every 1000 steps + checkpoint_callback = CheckpointCallback(save_freq=wandbSaveFreq, save_path=output, name_prefix=projectName) + + # Change the neural net size or the activation function + policy_kwargs = dict(#activation_fn=th.nn.ReLU, + net_arch=[dict(pi=[64, 64], vf=[64, 64])]) + + # Check if the khr3hv_env is compatible with Stable Baseline + check_env(khr3hv_env) + # Declare PPO agent with predifined hyperparameters + model = PPO("MlpPolicy", khr3hv_env, verbose=1, policy_kwargs=policy_kwargs, + clip_range=args.clip_param, gamma=args.gamma, gae_lambda=args.gae_lambda, + learning_rate=args.lr) + # Train the agent and use the callback function to save the agent weights at a given time + model.learn(total_timesteps=100000000, callback=checkpoint_callback) +``` + +For the Stable-Baseline PPO *evaluation*, we restore the weight of the timestep that we want. Then we let the trained agent interact with the environment. When the episode termination criteria are satisfied, we print the accumulated reward and reset the environment. + +```python +else: + # Load the weights of a trained Agent + model = PPO.load("./results/trained-Agent") + + # Reset the enviroment and test the trained agent + obs = khr3hv_env.reset() + khr3hv_env.episodeScore = 0 + while True: + action, _states = model.predict(obs) + obs, reward, done, _ = khr3hv_env.step(action) + # Accumulate episode reward + khr3hv_env.episodeScore += reward + + if done: + print("Reward accumulated =", khr3hv_env.episodeScore) + khr3hv_env.episodeScore = 0 + obs = khr3hv_env.reset() +``` + + +### khr3hvEnv + +In this file are implemented the below python functions: +1. *get_observations* which will create the *observation* for our agent in each step, +2. *get_reward* which will return the reward of the agent for each step, +3. *is_done* which will look for the episode done condition, +4. *get_default_observation* which is used by the *reset* method that the framework implements, +5. *apply_action* which will take the action provided by the agent and apply it to the robot by setting its motors' speeds and velocities, +6. *setup_agent*, which initializes the 17 or 6 motors. Storing the references inside a list and setting the starting positions and velocities, +7. dummy implementations for *get_info* and *render* required by the *gym.Env* class that is inherited, + + +First, we set up the observation and action spaces on the init function. Also, we are using a time window of the 5, on the observation space. Like that we keep the last 5 observations that have occurred on each episode. So, the total observation space is 5 * 10 = 50. +```python +class khr3hvRobotSupervisor(RobotSupervisor): + + def __init__(self, projectName, wandbSaveFreq, train, useRay): + super().__init__() + # Time window of 5 + self.t = 5 + # Number of observations + self.numObs = 10 + # Total observations + self.obs = np.zeros(self.t * self.numObs) + # Lower and maximum values on observation space + lowObs = -np.inf * np.ones(self.t * self.numObs) + maxObs = np.inf * np.ones(self.t * self.numObs) + self.observation_space = Box(low=lowObs, high=maxObs, dtype=np.float64) + # Lower and maximum values on action space + lowAct = -2.356 * np.ones(6) + maxAct = 2.356 * np.ones(6) + self.action_space = Box(low=lowAct, high=maxAct, dtype=np.float64) +``` + +The observation space makes up the agent's (or the neural network's) input size and values are defined by the table below. Those are the observations that we accurare on each time step of episode. Then on any new timestep we shift those to keep the last 5. + +Num | Observation | Min | Max +----|-------------|-----|---- +0 | Robot position x-axis | -Inf | Inf +1 | Robot position y-axis | -Inf | Inf +2 | Robot position z-axis | -Inf | Inf +3 | Robot velocity z-axis | 0 | +7 +4 | LeftAnkle | -inf | +inf +5 | LeftCrus | -inf | +inf +6 | LeftFemur | -inf | +inf +7 | RightAnkle | -inf | +inf +8 | RightCrus | -inf | +inf +9 | RightFemur | -inf | +inf + +The action space of the agent is defined on the table below: + +Num | actuators | Min | Max +----|-------------|-----|---- +0 | LeftAnkle | -2.35 | +2.35 +1 | LeftCrus | -2.35 | +2.35 +2 | LeftFemur | -2.35 | +2.35 +3 | RightAnkle | -2.35 | +2.35 +4 | RightCrus | -2.35 | +2.35 +5 | RightFemur | -2.35 | +2.35 + + +Then we use some robot components and logging variables + +```python + # Set up various robot components + self.motor_velocity = 2 + self.robot = self.getSelf() + self.setup_agent() + self.motorPositionArr = np.zeros(6) + # Score accumulated during an episode + self.episodeScore = 0 + self.prev_pos = self.robot.getPosition()[2] + + # Logging parameters + self.distance_walk = 0 + self.save_freq = wandbSaveFreq + self.counterLoging = 0 + self.train = train + self.projectName = projectName + self.useRay = useRay +``` +On the *get_observations* function, we create the observation vector on each time step. The observations are the robot position (x,z,y), robot velocity, and the state of each motor. We log the needed variables on the wandb and we shift the last observation by one position. Using the Ray we don't log the below variables because Ray has its own logging. So it produces errors by wandb having two instances of the same project. + +```python +def get_observations(self): + motorPos = self.robot.getPosition() + motorPos.append(self.robot.getVelocity()[2]) + + self.distance_walk = max(self.distance_walk, self.robot.getPosition()[2]) + self.counterLoging +=1 + global GLOBAL_DISTANCE + GLOBAL_DISTANCE = max(GLOBAL_DISTANCE, self.robot.getPosition()[2]) + # Logging on the wandb. When using Ray we don't use the custom logging because Ray has it own + # logging and produce compatiblity errors of two instaces of wandb. + if self.counterLoging % self.save_freq == 0 and self.train and not self.useRay: + #wandb.init(project=self.projectName, reinit=False) + wandb.log({"Episode distance walked": self.distance_walk, + "Current z position": self.robot.getPosition()[2], + "Globan distance walekd": GLOBAL_DISTANCE + }) + + motorPos.extend([i for i in self.motorPositionArr]) + # Shift the last 10 observations by one, on the time window of 5 + self.obs = shift(self.obs, -self.numObs, cval=np.NaN) + self.obs[-self.numObs:] = motorPos + + return np.array(self.obs) +``` +On the *get_reward* function, we calculate the reward of the agent. The reward award agent when moving forward on the z-axis. Also, we are using a second term so the agent moves further away from his previous position. Again, we log the below variables on the wandb only if we use Stable-Baseline. + +```python +def get_reward(self, action): + reward = 2.5 * self.robot.getPosition()[2] + self.robot.getPosition()[2] - self.prev_pos + + if self.counterLoging % self.save_freq == 0 and self.train and not self.useRay: + wandb.log({"reward": reward, + "reward-1term-weight-pos": 2.5 * self.robot.getPosition()[2], + "reward-2term-diff-possition": self.robot.getPosition()[2] - self.prev_pos + }) + + self.prev_pos = self.robot.getPosition()[2] + return reward +``` + +On the *is_done* function, we check the termination criteria for each episode. If the criteria are satisfied return *True* otherwise it returns *False*. + + +```python + def is_done(self): + # Agent fall. From 0.5 i make it to 0.45 to see it it has better walking. + if self.robot.getPosition()[1] < 0.5: + return True + # Agent walked out of the box + if self.robot.getPosition()[2] > 15: + return True + return False +``` + +On the *get_default_observation* function, we return the default observation which is a zero vector in the shape of the observation space. + +```python +def get_default_observation(self): + self.prev_pos = 0 + self.obs = np.zeros(self.t * self.numObs) + self.distance_walk = 0 + + return np.zeros(self.observation_space.shape[0]) +``` +On the *apply_action* function, we use the action list provided by the policy, which contains the next action to be executed by the robot. It contains a float number denoting the action. The corresponding motor position value is applied to each motor. + +```python +def apply_action(self, action): + motorIndexes = [0, 1, 2, 3, 4, 5] + + for i, ac in zip(motorIndexes, action): + self.motorPositionArr[i] += ac + self.motorList[i].setVelocity(self.motor_velocity) + self.motorList[i].setPosition(ac) +``` +On the *setup_agent* function, we initializes the 17 (all) or 6 (leg) motors, storing the references inside a list and setting the starting positions and velocities. + +```python +def setup_agent(self): + self.motorList = RobotFunc.getAllMotors(self) +``` + +### RobotUtils + +RobotUtils files use some functions for the simplification of the robotic environment. The first function is returning the moving motors of the robot. It could return all the components or just the legs. + +```python +def getMotorNames(name_type='all'): + if name_type == 'all': + return ['Head', 'LeftAnkle', 'LeftArm', 'LeftCrus', + 'LeftElbow', 'LeftFemur','LeftFemurHead1', + 'LeftFemurHead2', 'LeftFoot', 'LeftForearm', + 'LeftShoulder','RightAnkle', 'RightArm', + 'RightCrus', 'RightElbow', 'RightFemur', + 'RightFemurHead1', 'RightFemurHead2', + 'RightFoot', 'RightForearm','RightShoulder', + 'Waist'] + elif name_type=='legs': + return ['LeftAnkle', 'LeftCrus', 'LeftFemur', + 'RightAnkle', 'RightCrus','RightFemur'] +``` + +The second function that we use is asking the components that are needed. In our environment settings. Then it is storing the references motors inside a list and setting the starting positions and velocities. + +```python + def getAllMotors(robot): + """ + Get 17 (all) or 6 (leg) motors from the robot model. + """ + # Get the motors names: all or legs + motorNames = RobotFunc.getMotorNames('legs') + + motorList = [] + for motorName in motorNames: + motor = robot.getDevice(motorName) # Get the motor handle + motor.setPosition(float('inf')) # Set starting position + motor.setVelocity(0.0) # Zero out starting velocity + motorList.append(motor) # Append motor to motorList + return motorList +``` + +The last function that currently it is not needed. Is normalize the values to a given range. This function would be used in the future where we will train an agent on a specific robot and we will evaluate the trained agent on another robot. For this case, it will be needed to normalize the action space on a specific range. + +```python +def normalizeToRange(value, minVal, maxVal, newMin, newMax, clip=False): + value = float(value) + minVal = float(minVal) + maxVal = float(maxVal) + newMin = float(newMin) + newMax = float(newMax) + + if clip: + return np.clip((newMax - newMin) / (maxVal - minVal) * (value - maxVal) + newMax, newMin, newMax) + else: + return (newMax - newMin) / (maxVal - minVal) * (value - maxVal) + newMax +``` + +### Conclusion + +Now you can click on the *Run the simulation* button and watch the training run! + +![Run the simulation](images/clickPlay.png) + +Webots allow to speed up the simulation, even run it without graphics. +The training could take some time, for 8 hours to 2 days for better results. In addition, you can even apply forces +in real-time by pressing Alt - left-click and drag on the robot or the pole. + +Note: To achieve faster results you could use the GPU and select *No rendering* on the Webtos. + +That's it for this tutorial! :) + + +**_We welcome you to leave comments and feedback for the tutorial on the relevant +[discussions page](https://github.com/aidudezzz/deepbots-tutorials/discussions/12) or to open an issue for any +problem you find in it!_** \ No newline at end of file diff --git a/advancedTutorial/images/clickPlay.png b/advancedTutorial/images/clickPlay.png new file mode 100644 index 0000000000000000000000000000000000000000..ab4b81553a49db709fb6e10d2aeb0e9f1a785a57 GIT binary patch literal 831051 zcmce7V~{Vrv*uW5Z2iWzZQHhO+qUP7ZQGtR_RJaEwz==E`~G+9?w9?xsY+7S=?`70 zB;8N(1P)I2 zW|lUl1TLNqrUa%QmS#Xe9_uw(=1wLZPN6@>Xj&jTgEWwALfmurPXLvcEcT>rk#ejp z6O8B=y<$!>;LZpAAI~lS+cL8qoz`_J`acikFPjIu(Z~G$?;q^1pWnXz)m|UH@1qxX zD)>9WAVdZ^h`67C#yW 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