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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 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, 0.0]
       - Job Lengths: [3.0, 2.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [19.0, 21.0, 22.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 1.5334
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 0}, {'gpu': 3, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}, {'gpu': 1, 'machine': 2, 'rack': 0}, {'gpu': 0, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}], 'reward': 1.5334} </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, 0.0, 0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 2.0, 2.0, 2.0, -1.0, -1.0, 2.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 4.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [21.0, 22.0, 23.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -0.5009
        - 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': -0.5009} </s>


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

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

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

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

    4. **GPU Availability Information:**
       [2.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, 1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 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, 7.0, 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, 0.0]
       - Job Lengths: [4.0, 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, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [22.0, 23.0, 24.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 0.5077
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}, {'gpu': 3, 'machine': 1, 'rack': 0}], 'reward': 0.5077} </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, 3.0, 3.0, 3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -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: [7.0, 5.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 1.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [23.0, 24.0, 25.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 2.2435
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 2, 'rack': 1}, {'gpu': 1, 'machine': 2, 'rack': 1}, {'gpu': 0, 'machine': 3, 'rack': 1}, {'gpu': 3, 'machine': 3, 'rack': 1}, {'gpu': 1, 'machine': 3, 'rack': 1}], 'reward': 2.2435} </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, 2.0, 2.0, 2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [5.0, 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, 0.0]
       - Job Lengths: [1.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [24.0, 25.0, 26.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 3.4979
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 3, 'machine': 0, 'rack': 0}], 'reward': 3.4979} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [5.0, 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, 0.0]
       - Job Lengths: [1.0, 2.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [24.0, 25.0, 27.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: -0.8198
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 1, 'machine': 3, 'rack': 0}], 'reward': -0.8198} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [5.0, 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, 0.0]
       - Job Lengths: [1.0, 2.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [24.0, 25.0, 28.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: -0.2122
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 0}], 'reward': -0.2122} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [5.0, 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, 0.0]
       - Job Lengths: [1.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [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, 0.0]
       - Job Arrival Times: [24.0, 25.0, 29.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 0.0
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 2, 'machine': 3, 'rack': 0}], 'reward': 0.0} </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, 6.0, 1.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [5.0, 6.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [7.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [24.0, 25.0, 30.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 0.7011
        - 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': 3, 'machine': 3, 'rack': 0}], 'reward': 0.7011} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [7.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [25.0, 30.0, 31.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 0.8269
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}], 'reward': 0.8269} </s>


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

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

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

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

    4. **GPU Availability Information:**
       [0.0, 0.0, 0.0, 0.0, 2.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0, -1.0, 4.0, -1.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 7.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [2.0, 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, 0.0]
       - Job Waiting Times: [8.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [25.0, 30.0, 32.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 0.6567
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 0}, {'gpu': 3, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}], 'reward': 0.6567} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 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, 0.0]
       - Job Lengths: [2.0, 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, 0.0]
       - Job Waiting Times: [9.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [25.0, 30.0, 33.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 2.3775
        - 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': 1, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}], 'reward': 2.3775} </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, -1.0, 0.0, 0.0, 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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 4.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 10.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [30.0, 33.0, 34.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 1.338
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 1}, {'gpu': 3, 'machine': 0, 'rack': 1}, {'gpu': 2, 'machine': 0, 'rack': 1}], 'reward': 1.338} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 10.0, 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, 0.0]
       - Job Waiting Times: [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, 0.0]
       - Job Arrival Times: [30.0, 33.0, 35.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 1.3265
        - 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': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}, {'gpu': 1, 'machine': 1, 'rack': 1}, {'gpu': 0, 'machine': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 2, 'rack': 1}], 'reward': 1.3265} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [10.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [33.0, 35.0, 36.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 0.1545
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 1, 'machine': 0, 'rack': 1}], 'reward': 0.1545} </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, 5.0, 6.0, 5.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0]
       - Job Lengths: [10.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [33.0, 35.0, 37.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: -0.8333
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 0, 'rack': 0}], 'reward': -0.8333} </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, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 4.0, 5.0, 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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [10.0, 9.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [33.0, 35.0, 38.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: -0.007
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}, {'gpu': 3, 'machine': 1, 'rack': 0}], 'reward': -0.007} </s>


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

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

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

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

    4. **GPU Availability Information:**
       [2.0, 2.0, 2.0, -1.0, 9.0, 9.0, 9.0, 9.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 3.0, 4.0, 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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 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, 0.0]
       - Job Lengths: [9.0, 1.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [5.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [35.0, 38.0, 39.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 0.2894
        - 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': 0.2894} </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, 8.0, 8.0, 8.0, 8.0, 8.0, 8.0, 8.0, 8.0, -1.0, -1.0, -1.0, -1.0, 2.0, 3.0, 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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0]
       - Job Lengths: [1.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [38.0, 39.0, 40.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 1.3191
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 3, 'machine': 0, 'rack': 0}], 'reward': 1.3191} </s>


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

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

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

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

    4. **GPU Availability Information:**
       [0.0, 0.0, 0.0, 2.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, -1.0, -1.0, -1.0, -1.0, 1.0, 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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 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, 0.0]
       - Job Lengths: [1.0, 2.0, 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, 0.0]
       - Job Waiting Times: [4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [38.0, 39.0, 41.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 3.3261
        - 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': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}, {'gpu': 1, 'machine': 1, 'rack': 1}, {'gpu': 0, 'machine': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 2, 'rack': 1}], 'reward': 3.3261} </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, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, -1.0, -1.0, -1.0, -1.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 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, 0.0]
       - Job Lengths: [2.0, 9.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [39.0, 41.0, 42.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 3.8545
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 0}], 'reward': 3.8545} </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, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 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, -1.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [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, 0.0]
       - Job Lengths: [2.0, 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, 0.0]
       - Job Waiting Times: [5.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [39.0, 41.0, 43.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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: 0.2901
        - 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}], 'reward': 0.2901} </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, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 4.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [9.0, 2.0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [41.0, 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, 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: 1.0339
        - 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': 1, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}], 'reward': 1.0339} </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:**
       [8.0, 8.0, 8.0, 8.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 1.0, 8.0, -1.0, 8.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 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, 0.0]
       - Job Lengths: [2.0, 10.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [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, 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: 2.4928
        - 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': 2.4928} </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:**
       [7.0, 7.0, 7.0, 7.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0, 0.0, 7.0, -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, -1.0, 0.0, 0.0, 0.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 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, 0.0]
       - Job Lengths: [10.0, 6.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [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, 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: 0.9806
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 2, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}], 'reward': 0.9806} </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:**
       [6.0, 6.0, 6.0, 6.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, -1.0, 6.0, -1.0, 6.0, 0.0, 0.0, 0.0, 0.0, 6.0, -1.0, -1.0, 6.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [7.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [10.0, 6.0, 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, 0.0]
       - Job Waiting Times: [4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [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, 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: 2.1865
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 2, 'rack': 1}, {'gpu': 1, 'machine': 2, 'rack': 1}, {'gpu': 0, 'machine': 3, 'rack': 1}, {'gpu': 3, 'machine': 3, 'rack': 1}, {'gpu': 1, 'machine': 3, 'rack': 1}], 'reward': 2.1865} </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:**
       [6.0, 6.0, 6.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 6.0, -1.0, 6.0, 0.0, 0.0, 0.0, 0.0, 5.0, -1.0, -1.0, 5.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, -1.0, 9.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [6.0, 9.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [45.0, 47.0, 48.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: 1.1258
        - 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': 2, 'machine': 3, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 3, 'rack': 1}], 'reward': 1.1258} </s>


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

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

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

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

    4. **GPU Availability Information:**
       [5.0, 5.0, 5.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 5.0, 5.0, 5.0, 5.0, -1.0, -1.0, -1.0, -1.0, 4.0, 5.0, -1.0, 4.0, 8.0, 8.0, 8.0, 8.0, 8.0, 8.0, 5.0, 8.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [9.0, 7.0, 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, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [47.0, 48.0, 49.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: -0.4393
        - 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': -0.4393} </s>


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

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

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

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

    4. **GPU Availability Information:**
       [4.0, 4.0, 4.0, 4.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 4.0, 4.0, 4.0, 4.0, 8.0, 8.0, 8.0, 8.0, 3.0, 4.0, -1.0, 3.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, 4.0, 7.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [7.0, 5.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [48.0, 49.0, 50.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

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

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

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

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

    **Reward Information:**
        - Reward: 0.1852
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}, {'gpu': 3, 'machine': 1, 'rack': 0}], 'reward': 0.1852} </s>