<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, -1.0, 0.0, -1.0, -1.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [45.0, 46.0, 47.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 1.6291
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 1, 'assigned_gpus': [{'gpu': 1, 'machine': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}, {'gpu': 1, 'machine': 3, 'rack': 1}], 'reward': 1.6291} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 1.0, -1.0, 1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [45.0, 47.0, 48.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 2.1605
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}], 'reward': 2.1605} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 1.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [45.0, 47.0, 49.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 2.0812
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 1, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 1}], 'reward': 2.0812} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, -1.0, 0.0, 1.0, 0.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 3.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [45.0, 49.0, 50.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: -0.3214
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 1}], 'reward': -0.3214} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 3.0, -1.0, -1.0, -1.0, 0.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 3.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [7.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [45.0, 49.0, 51.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: -0.3198
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 0, 'rack': 0}, {'gpu': 3, 'machine': 0, 'rack': 0}], 'reward': -0.3198} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 2.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [3.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [49.0, 51.0, 52.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 0.9205
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}, {'gpu': 3, 'machine': 1, 'rack': 0}], 'reward': 0.9205} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 3.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [51.0, 52.0, 53.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: -0.1359
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 1, 'machine': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}], 'reward': -0.1359} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 3.0, -1.0, 3.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 3.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [51.0, 52.0, 54.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: -0.3439
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 0, 'rack': 0}], 'reward': -0.3439} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [3.0, 3.0, 3.0, -1.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 2.0, -1.0, 2.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 3.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [51.0, 52.0, 55.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 1.03
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 0}, {'gpu': 3, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}, {'gpu': 1, 'machine': 2, 'rack': 0}, {'gpu': 0, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}], 'reward': 1.03} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [2.0, 2.0, 2.0, -1.0, 0.0, 0.0, 0.0, 0.0, 3.0, 3.0, 3.0, 3.0, 3.0, -1.0, 3.0, 3.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 1.0, -1.0, 1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 8.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [3.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [52.0, 55.0, 56.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 0.2916
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 1}, {'gpu': 3, 'machine': 0, 'rack': 1}, {'gpu': 2, 'machine': 0, 'rack': 1}, {'gpu': 1, 'machine': 0, 'rack': 1}, {'gpu': 0, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}, {'gpu': 1, 'machine': 1, 'rack': 1}], 'reward': 0.2916} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [1.0, 1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 2.0, 2.0, 2.0, 2.0, 2.0, -1.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, -1.0, 0.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 2.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [55.0, 56.0, 57.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 1.2935
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 3, 'machine': 0, 'rack': 0}], 'reward': 1.2935} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [0.0, 0.0, 0.0, 9.0, -1.0, -1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, 1.0, -1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, -1.0, 0.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [55.0, 56.0, 58.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 1.8076
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 2, 'rack': 1}], 'reward': 1.8076} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [0.0, 0.0, 0.0, 8.0, -1.0, -1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, 1.0, -1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 7.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [55.0, 56.0, 59.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 2.7508
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}, {'gpu': 3, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 1}, {'gpu': 0, 'machine': 3, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}], 'reward': 2.7508} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, -1.0, 7.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 1.0, 1.0, 1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 6.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [56.0, 59.0, 60.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 1.1576
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [], 'reward': 1.1576} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, -1.0, 6.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, 1.0, 1.0, 1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 6.0, 6.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 2.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [56.0, 59.0, 60.0, 61.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: -1.0154
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 1}, {'gpu': 1, 'machine': 2, 'rack': 1}, {'gpu': 0, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 3, 'rack': 1}], 'reward': -1.0154} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [1.0, 1.0, 1.0, 5.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 6.0, 7.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 2.0, 1.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [59.0, 60.0, 61.0, 62.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: -0.0367
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 0}, {'gpu': 3, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}, {'gpu': 1, 'machine': 2, 'rack': 0}, {'gpu': 0, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}], 'reward': -0.0367} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [0.0, 0.0, 0.0, 4.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, -1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 7.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 1.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [60.0, 61.0, 62.0, 63.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 1.7944
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 1}, {'gpu': 3, 'machine': 0, 'rack': 1}, {'gpu': 2, 'machine': 0, 'rack': 1}], 'reward': 1.7944} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [0.0, 0.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 7.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 1.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [60.0, 61.0, 62.0, 64.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 2.4684
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}], 'reward': 2.4684} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [0.0, 0.0, 0.0, 2.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, -1.0, 0.0, 0.0, 3.0, -1.0, 3.0, 3.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, 0.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 7.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 1.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [60.0, 61.0, 62.0, 65.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: -1.0129
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 1, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}], 'reward': -1.0129} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, -1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0, -1.0, 2.0, -1.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 7.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 1.0, 4.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [7.0, 6.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [60.0, 61.0, 62.0, 66.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: -0.2742
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 0}], 'reward': -0.2742} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 8.0, 1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 1.0, -1.0, 1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 7.0, 7.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 1.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [8.0, 7.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [60.0, 61.0, 62.0, 67.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 0.2706
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}, {'gpu': 3, 'machine': 1, 'rack': 0}, {'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}], 'reward': 0.2706} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [1.0, 1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, -1.0, -1.0, -1.0, -1.0, 7.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 7.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [8.0, 7.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [61.0, 62.0, 67.0, 68.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 1.4759
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 2, 'machine': 0, 'rack': 0}, {'gpu': 3, 'machine': 0, 'rack': 0}], 'reward': 1.4759} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [0.0, 0.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 6.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 7.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [9.0, 8.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [61.0, 62.0, 67.0, 69.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 0.1196
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 0}, {'gpu': 3, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}], 'reward': 0.1196} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [0.0, 0.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 1.0, -1.0, 1.0, 1.0, 5.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 7.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [10.0, 9.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [61.0, 62.0, 67.0, 70.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 1.1669
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 1}, {'gpu': 3, 'machine': 0, 'rack': 1}, {'gpu': 2, 'machine': 0, 'rack': 1}, {'gpu': 1, 'machine': 0, 'rack': 1}, {'gpu': 0, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}], 'reward': 1.1669} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, 1.0, 1.0, -1.0, -1.0, -1.0, -1.0, 0.0, -1.0, 0.0, 0.0, 4.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 8.0, 5.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 4.0, 4.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [10.0, 5.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [62.0, 67.0, 70.0, 71.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 2.7072
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 2, 'rack': 1}, {'gpu': 1, 'machine': 2, 'rack': 1}, {'gpu': 0, 'machine': 3, 'rack': 1}, {'gpu': 3, 'machine': 3, 'rack': 1}, {'gpu': 1, 'machine': 3, 'rack': 1}], 'reward': 2.7072} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, -1.0, 0.0, 0.0, 3.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, -1.0, 3.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 5.0, 7.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 4.0, 7.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [67.0, 70.0, 71.0, 72.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 0.0148
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}, {'gpu': 3, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}, {'gpu': 1, 'machine': 2, 'rack': 0}], 'reward': 0.0148} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [-1.0, -1.0, 0.0, 0.0, 3.0, 3.0, 3.0, 3.0, -1.0, 3.0, -1.0, -1.0, 2.0, 3.0, 3.0, 3.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, -1.0, 2.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [5.0, 7.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 7.0, 6.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [70.0, 71.0, 72.0, 73.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: -0.5693
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 0}, {'gpu': 3, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}, {'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}], 'reward': -0.5693} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [3.0, 3.0, -1.0, -1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 2.0, 3.0, 3.0, 1.0, 2.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, -1.0, 1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 4.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [7.0, 6.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [71.0, 72.0, 73.0, 74.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 0.2914
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 2, 'machine': 0, 'rack': 0}, {'gpu': 3, 'machine': 0, 'rack': 0}], 'reward': 0.2914} </s>


<s>[INST] The state of the system is described as follows:

    1. **Cluster Rack Index:**
       [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]

    2. **Cluster Machine Index:**
       [0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0]

    3. **Cluster GPU Index:**
       [0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0, 0.0, 1.0, 2.0, 3.0]

    4. **GPU Availability Information:**
       [2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 0.0, 2.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, -1.0, 1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 4.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [7.0, 6.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [71.0, 72.0, 73.0, 75.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **Communication Cost:**
        - **Lowest:** Between GPUs on the same machine.
        - **Medium:** Between GPUs on different machines within the same rack.
        - **Highest:** Between GPUs on different racks.
        - The total communication cost is calculated based on the sum of communication costs between GPUs to form a ring.

    **Objective:**
        1. Select a job from the job queue.
        2. Assign the requested GPUs for the selected job, ensuring they are as close to each other as possible to reduce communication costs.

    **Criteria:**
        1. Minimize Job Completion Time (JCT): Includes job length and total communication cost (JCT = job length * (1 + total communication cost)) and waiting time.
        2. Optimize GPU Assignment: Prefer GPUs that are in the same machine. For jobs requesting a large number of GPUs, try to assign them to the same machine. If not feasible, minimize the number of machines, ideally within the same rack.

    **Instructions:**
        - Consider the available GPUs (-1 in the GPU Availability Information) and their locations.
        - For each job, assign GPUs such that the communication cost is minimized.
        - Provide the selected job index and the assigned GPUs, specifying which GPU, machine, and rack.

    **Reward Information:**
        - Reward: 0.1933
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 1}, {'gpu': 3, 'machine': 0, 'rack': 1}, {'gpu': 2, 'machine': 0, 'rack': 1}], 'reward': 0.1933} </s>