<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, 3.0, 3.0, 3.0, 3.0, 0.0, 3.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, 1.0, 1.0, -1.0, 1.0, -1.0, 1.0, 1.0, 1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 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, 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: [9.0, 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 Arrival Times: [94.0, 95.0, 100.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 1.6446
        - 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': 2, 'machine': 0, 'rack': 0}, {'gpu': 3, 'machine': 0, 'rack': 0}, {'gpu': 0, 'machine': 3, 'rack': 1}, {'gpu': 2, 'machine': 2, 'rack': 1}], 'reward': 1.6446} </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, 2.0, 2.0, 2.0, 2.0, -1.0, 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, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0]
       - Job Lengths: [2.0, 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, 0.0]
       - Job Waiting Times: [9.0, 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, 0.0]
       - Job Arrival Times: [95.0, 100.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 3.2477
        - 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}], 'reward': 3.2477} </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, 0.0, 0.0, 0.0, 0.0, 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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0, 0.0]
       - Job Arrival Times: [100.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 4.4063
        - 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': 4.4063} </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, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [100.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 3.2312
        - 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': 3.2312} </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, 0.0, 0.0, 0.0, -1.0, -1.0, 0.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [100.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 1.3126
        - 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': 1, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}, {'gpu': 0, 'machine': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 3, 'rack': 1}, {'gpu': 3, 'machine': 3, 'rack': 1}], 'reward': 1.3126} </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, -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, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: [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, 0.0, 0.0]
       - Job Arrival Times: [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, 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: -0.6296
        - 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}, {'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}], 'reward': -0.6296} </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, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: [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, 0.0, 0.0]
       - Job Arrival Times: [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, 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: 0.671
        - 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}], 'reward': 0.671} </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, 0.0, 0.0, -1.0, -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, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [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, 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: 2.3352
        - 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': 2.3352} </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, 0.0, 0.0, -1.0, -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, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [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, 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: 0.1924
        - 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': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 0}], 'reward': 0.1924} </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, 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: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [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, 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: 1.1762
        - 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': 1.1762} </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:**
       [5.0, 5.0, 5.0, 5.0, -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, 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: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [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, 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: 0.8112
        - 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}], 'reward': 0.8112} </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:**
       [4.0, 4.0, 4.0, 4.0, 8.0, 8.0, 8.0, -1.0, -1.0, -1.0, -1.0, -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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [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, 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: -0.0132
        - 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}], 'reward': -0.0132} </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, 3.0, 7.0, 7.0, 7.0, -1.0, 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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [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, 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: 1.0229
        - 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': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 0}], 'reward': 1.0229} </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, 6.0, 6.0, 6.0, -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, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [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, 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: 2.2589
        - 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': 3, 'machine': 1, 'rack': 0}], 'reward': 2.2589} </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, 5.0, 5.0, 5.0, 4.0, 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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [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, 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: 3.6802
        - 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}], 'reward': 3.6802} </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, 4.0, 4.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 3.0, 3.0, 3.0, 3.0, -1.0, -1.0, 3.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [11.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 2.0158
        - 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': 1, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}], 'reward': 2.0158} </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, 3.0, 3.0, 3.0, 2.0, -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, 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: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [12.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 1.9793
        - 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}], 'reward': 1.9793} </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, 2.0, 2.0, 2.0, 1.0, 3.0, 3.0, 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, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [13.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 3.9583
        - 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': 3.9583} </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, 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, 0.0, 0.0, 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: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [14.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 4.9698
        - 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': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 0}], 'reward': 4.9698} </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, 0.0, 0.0, 0.0, -1.0, 1.0, 1.0, 1.0, 1.0, 3.0, 3.0, 3.0, 3.0, 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: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [15.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 3.0647
        - 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': 3, 'machine': 1, 'rack': 0}], 'reward': 3.0647} </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, 1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, 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: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 2.093
        - 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': 2.093} </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, 3.0, -1.0, -1.0, -1.0, 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, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [17.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 0.759
        - 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': 0.759} </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, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [18.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 2.0639
        - 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}], 'reward': 2.0639} </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, 0.0, 0.0, 0.0, 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: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [19.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 2.1596
        - 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}], 'reward': 2.1596} </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, 0.0, 0.0, 0.0, -1.0, 4.0, 4.0, 4.0, 4.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [20.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 2.9391
        - 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': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}], 'reward': 2.9391} </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, 0.0, 0.0, 0.0, -1.0, 3.0, 3.0, 3.0, 3.0, 0.0, -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, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [21.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 1.5932
        - 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}], 'reward': 1.5932} </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, 0.0, -1.0, -1.0, 0.0, 8.0, 8.0, 8.0, 8.0, 8.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [22.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 0.0309
        - 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': 1, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}], 'reward': 0.0309} </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, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0, 0.0]
       - Job Lengths: [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, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0, 0.0]
       - Job Arrival Times: [23.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 0.6525
        - 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': 0.6525} </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, 3.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, -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, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: [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, 0.0, 0.0]
       - Job Arrival Times: [24.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 1.6311
        - 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': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 0}], 'reward': 1.6311} </s>