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

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

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

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

    4. **GPU Availability Information:**
       [2.0, 2.0, 2.0, -1.0, -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, 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: [5.0, 6.0, 8.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [3.0, 4.0, 1.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [40.0, 42.0, 43.0, 44.0, 0.0, 0.0, 0.0, 0.0, 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: 2.0326
        - 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': 3, 'machine': 0, 'rack': 0}], 'reward': 2.0326} </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, 2.0, 2.0, 2.0, 2.0, 2.0, 0.0, -1.0, 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, 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: [6.0, 8.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 1.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [42.0, 43.0, 44.0, 45.0, 0.0, 0.0, 0.0, 0.0, 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: 0.4106
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 2, 'rack': 1}, {'gpu': 1, 'machine': 2, 'rack': 1}, {'gpu': 0, 'machine': 3, 'rack': 1}, {'gpu': 3, 'machine': 3, 'rack': 1}], 'reward': 0.4106} </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, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 3.0, 3.0, 3.0, 3.0, 3.0, -1.0, -1.0, 3.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 8.0, 6.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [43.0, 44.0, 45.0, 46.0, 0.0, 0.0, 0.0, 0.0, 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: 0.6203
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}], 'reward': 0.6203} </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, -1.0, -1.0, -1.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 2.0, 2.0, 2.0, 2.0, 2.0, -1.0, -1.0, 2.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [43.0, 44.0, 45.0, 47.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 1.1333
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 1, 'machine': 3, 'rack': 0}], 'reward': 1.1333} </s>


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

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

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

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

    4. **GPU Availability Information:**
       [-1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, 2.0, 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: [8.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 2.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [43.0, 44.0, 45.0, 48.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -1.1402
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 0}], 'reward': -1.1402} </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, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, 1.0, -1.0, -1.0, 1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 8.0, 6.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [7.0, 6.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [43.0, 44.0, 45.0, 49.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 0.6878
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 1}, {'gpu': 3, 'machine': 0, 'rack': 1}, {'gpu': 2, 'machine': 0, 'rack': 1}, {'gpu': 1, 'machine': 0, 'rack': 1}, {'gpu': 0, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}, {'gpu': 1, 'machine': 1, 'rack': 1}], 'reward': 0.6878} </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, -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, 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, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 6.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 2.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [7.0, 6.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [44.0, 45.0, 49.0, 50.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 1.3611
        - 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': 2, 'rack': 0}, {'gpu': 3, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}, {'gpu': 1, 'machine': 2, 'rack': 0}], 'reward': 1.3611} </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, -1.0, -1.0, -1.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, -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, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 4.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 2.0, 3.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [7.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [45.0, 49.0, 50.0, 51.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -0.8401
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 1, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 0, 'rack': 0}, {'gpu': 3, 'machine': 0, 'rack': 0}], 'reward': -0.8401} </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, 6.0, 6.0, 6.0, 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, -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, 4.0, 4.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 2.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [8.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [45.0, 49.0, 50.0, 52.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -0.3885
        - 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': -0.3885} </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, 5.0, 5.0, 5.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, -1.0, -1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, 1.0, -1.0, -1.0, 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, 4.0, 6.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 3.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [49.0, 50.0, 52.0, 53.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 1.1283
        - 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': 1.1283} </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, 4.0, 4.0, 4.0, 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, -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, 6.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [3.0, 1.0, 3.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [50.0, 52.0, 53.0, 54.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 1.2885
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 2, 'rack': 1}, {'gpu': 1, 'machine': 2, 'rack': 1}], 'reward': 1.2885} </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, 3.0, 3.0, 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, -1.0, -1.0, 0.0, 2.0, 2.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 4.0, 4.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 3.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [52.0, 53.0, 54.0, 55.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 2.0079
        - 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': 1}, {'gpu': 3, 'machine': 3, 'rack': 1}, {'gpu': 1, 'machine': 3, 'rack': 1}, {'gpu': 2, 'machine': 3, 'rack': 1}, {'gpu': 1, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}], 'reward': 2.0079} </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, 2.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, -1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 8.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [3.0, 2.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [53.0, 54.0, 55.0, 56.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 1.0381
        - 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}], 'reward': 1.0381} </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, 2.0, 2.0, 2.0, 2.0, -1.0, 0.0, 0.0, -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: [4.0, 8.0, 5.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 3.0, 1.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [54.0, 55.0, 56.0, 57.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 0.4509
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}], 'reward': 0.4509} </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, 0.0, 0.0, 0.0, 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, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 8.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 3.0, 1.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [54.0, 55.0, 56.0, 58.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -0.0718
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 1}], 'reward': -0.0718} </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, 0.0, 0.0, 0.0, 2.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 9.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 8.0, 5.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 3.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [54.0, 55.0, 56.0, 59.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 0.2864
        - 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': 0.2864} </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, 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: [8.0, 5.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [3.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 5.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [55.0, 56.0, 59.0, 60.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 0.4207
        - 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': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 0}], 'reward': 0.4207} </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, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0, 7.0, -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, 8.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 1.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [56.0, 59.0, 60.0, 61.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: 1.6444
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 1, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}], 'reward': 1.6444} </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, 1.0, 1.0, 1.0, 1.0, -1.0, -1.0, -1.0, -1.0, 6.0, 2.0, -1.0, 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: [5.0, 8.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 1.0, 1.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [7.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [56.0, 59.0, 60.0, 62.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: -0.2186
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 3, 'machine': 1, 'rack': 0}], 'reward': -0.2186} </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, 5.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 5.0, 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, 8.0, 6.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [8.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [56.0, 59.0, 60.0, 63.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: 1.2827
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 0}, {'gpu': 3, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}, {'gpu': 1, 'machine': 2, 'rack': 0}, {'gpu': 0, 'machine': 1, 'rack': 0}], 'reward': 1.2827} </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, -1.0, -1.0, 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, 4.0, 0.0, -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: [8.0, 6.0, 5.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 1.0, 1.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 5.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [59.0, 60.0, 63.0, 64.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: 3.915
        - 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': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 2, 'rack': 1}, {'gpu': 1, 'machine': 2, 'rack': 1}], 'reward': 3.915} </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, -1.0, -1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 0.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 5.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 1.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [60.0, 63.0, 64.0, 65.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: 0.9432
        - 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': 1}, {'gpu': 3, 'machine': 3, 'rack': 1}, {'gpu': 1, 'machine': 3, 'rack': 1}, {'gpu': 2, 'machine': 3, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 0}], 'reward': 0.9432} </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, 0.0, 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, 2.0, -1.0, 0.0, -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: [5.0, 4.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 2.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [63.0, 64.0, 65.0, 66.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: 0.3721
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 1, 'machine': 1, 'rack': 1}], 'reward': 0.3721} </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, 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, 6.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [5.0, 4.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 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]
       - Job Waiting Times: [5.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [63.0, 64.0, 65.0, 67.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: -0.1429
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 0, 'rack': 0}], 'reward': -0.1429} </s>


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

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

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

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

    4. **GPU Availability Information:**
       [3.0, 3.0, 3.0, -1.0, -1.0, -1.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 5.0, -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, 4.0, 4.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 2.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [63.0, 64.0, 65.0, 68.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: -0.6739
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 0}, {'gpu': 3, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}, {'gpu': 1, 'machine': 2, 'rack': 0}, {'gpu': 3, 'machine': 0, 'rack': 0}], 'reward': -0.6739} </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, 0.0, -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, 4.0, -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, 4.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 2.0, 7.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 5.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [64.0, 65.0, 68.0, 69.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: 0.6105
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}], 'reward': 0.6105} </s>


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

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

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

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

    4. **GPU Availability Information:**
       [1.0, 1.0, 1.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 3.0, 3.0, -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: [4.0, 4.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 2.0, 7.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [7.0, 6.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [64.0, 65.0, 68.0, 70.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: 0.1307
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 3, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}], 'reward': 0.1307} </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, -1.0, 1.0, 1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 2.0, 2.0, -1.0, 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, 4.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 2.0, 7.0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [8.0, 7.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [64.0, 65.0, 68.0, 71.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: 1.9643
        - 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': 1.9643} </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, -1.0, 0.0, 0.0, 0.0, -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, 8.0, 4.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 7.0, 9.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [8.0, 5.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [65.0, 68.0, 71.0, 72.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: 2.3344
        - 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': 2.3344} </s>