<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, 5.0, 5.0, -1.0, 1.0, 1.0, 1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 4.0, 4.0, 0.0, 4.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 6.0, 8.0, 4.0, 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]
       - Job Lengths: [1.0, 1.0, 1.0, 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]
       - Job Waiting Times: [9.0, 8.0, 6.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [32.0, 33.0, 35.0, 36.0, 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]

    **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: 0.0467
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 0}], 'reward': 0.0467} </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, 4.0, 4.0, -1.0, 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, 3.0, 3.0, -1.0, 3.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 8.0, 4.0, 5.0, 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]
       - Job Lengths: [1.0, 1.0, 6.0, 1.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [9.0, 7.0, 6.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [33.0, 35.0, 36.0, 40.0, 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]

    **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: 2.3372
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 0, 'rack': 0}, {'gpu': 3, 'machine': 0, 'rack': 0}, {'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 3, 'machine': 1, 'rack': 0}], 'reward': 2.3372} </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, 3.0, 3.0, 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, 2.0, 2.0, -1.0, 2.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 4.0, 5.0, 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]
       - Job Lengths: [1.0, 6.0, 1.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [8.0, 7.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [35.0, 36.0, 40.0, 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]

    **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: 1.4711
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 1}, {'gpu': 3, 'machine': 0, 'rack': 1}, {'gpu': 2, 'machine': 0, 'rack': 1}, {'gpu': 1, 'machine': 0, 'rack': 1}, {'gpu': 0, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}, {'gpu': 1, 'machine': 1, 'rack': 1}], 'reward': 1.4711} </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, 2.0, 2.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -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, 5.0, 5.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [6.0, 1.0, 4.0, 4.0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [8.0, 4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [36.0, 40.0, 41.0, 42.0, 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]

    **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: 0.9295
        - 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': 4, 'assigned_gpus': [{'gpu': 0, 'machine': 2, 'rack': 0}, {'gpu': 3, 'machine': 2, 'rack': 0}], 'reward': 0.9295} </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, 6.0, -1.0, -1.0, 6.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, -1.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 5.0, 5.0, 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]
       - Job Lengths: [6.0, 1.0, 4.0, 4.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [9.0, 5.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [36.0, 40.0, 41.0, 42.0, 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]

    **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: -0.4795
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 0, 'rack': 0}, {'gpu': 3, 'machine': 0, 'rack': 0}], 'reward': -0.4795} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [5.0, 5.0, 6.0, 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]
       - Job Lengths: [1.0, 4.0, 4.0, 6.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [6.0, 5.0, 4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [40.0, 41.0, 42.0, 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]

    **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: -0.8293
        - 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': 4, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 3, 'machine': 1, 'rack': 0}], 'reward': -0.8293} </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, 0.0, 0.0, 1.0, 4.0, -1.0, -1.0, 4.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -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, 5.0, 6.0, 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]
       - Job Lengths: [1.0, 4.0, 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]
       - Job Waiting Times: [7.0, 6.0, 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]
       - Job Arrival Times: [40.0, 41.0, 42.0, 44.0, 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]

    **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: -0.2994
        - 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': 4, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}], 'reward': -0.2994} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [5.0, 5.0, 6.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 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]
       - Job Waiting Times: [8.0, 7.0, 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]
       - Job Arrival Times: [40.0, 41.0, 42.0, 44.0, 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]

    **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: 2.4554
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 0}], 'reward': 2.4554} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [5.0, 6.0, 4.0, 4.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 4.0, 6.0, 1.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [8.0, 7.0, 5.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [41.0, 42.0, 44.0, 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]

    **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: 0.5904
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 1}, {'gpu': 3, 'machine': 0, 'rack': 1}, {'gpu': 2, 'machine': 0, 'rack': 1}, {'gpu': 1, 'machine': 0, 'rack': 1}, {'gpu': 0, 'machine': 1, 'rack': 1}], 'reward': 0.5904} </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, 0.0, 0.0, -1.0, 1.0, 0.0, 0.0, 1.0, -1.0, 0.0, -1.0, -1.0, 3.0, 3.0, 3.0, 3.0, 3.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 4.0, 4.0, 6.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 6.0, 1.0, 4.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [8.0, 6.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [42.0, 44.0, 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]

    **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: 0.0398
        - 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': 1, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}], 'reward': 0.0398} </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, -1.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0, 2.0, 2.0, 2.0, 2.0, 2.0, 3.0, -1.0, 3.0, 3.0, 3.0, 3.0, 3.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 6.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [6.0, 1.0, 4.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [7.0, 4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [44.0, 47.0, 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]

    **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: 0.2917
        - 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': 0.2917} </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, 5.0, 5.0, 5.0, 5.0, 0.0, -1.0, -1.0, 0.0, -1.0, -1.0, -1.0, -1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 2.0, -1.0, 2.0, 2.0, 2.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 6.0, 8.0, 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]
       - Job Lengths: [1.0, 4.0, 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]
       - Job Waiting Times: [5.0, 4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [47.0, 48.0, 49.0, 50.0, 51.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -1.2211
        - 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': 4, 'assigned_gpus': [{'gpu': 1, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}], 'reward': -1.2211} </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, -1.0, 2.0, 2.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, -1.0, 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, 6.0, 8.0, 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]
       - Job Lengths: [1.0, 4.0, 2.0, 1.0, 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]
       - Job Waiting Times: [6.0, 5.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [47.0, 48.0, 49.0, 50.0, 52.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -0.35
        - 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': 4, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 0, 'rack': 0}], 'reward': -0.35} </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, -1.0, 3.0, 3.0, 3.0, 3.0, -1.0, 1.0, 1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 6.0, 8.0, 4.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 4.0, 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]
       - Job Waiting Times: [7.0, 6.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [47.0, 48.0, 49.0, 50.0, 53.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 1.8561
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 0}], 'reward': 1.8561} </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, -1.0, 2.0, 2.0, 2.0, 2.0, -1.0, 0.0, 0.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [6.0, 8.0, 4.0, 8.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 2.0, 1.0, 10.0, 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]
       - Job Waiting Times: [7.0, 6.0, 5.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [48.0, 49.0, 50.0, 53.0, 54.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 2.8784
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 1}, {'gpu': 3, 'machine': 3, 'rack': 1}, {'gpu': 1, 'machine': 3, 'rack': 1}, {'gpu': 2, 'machine': 3, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 0}], 'reward': 2.8784} </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, -1.0, 1.0, 1.0, 1.0, 1.0, -1.0, 0.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.0, 3.0, 3.0, 3.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 4.0, 8.0, 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]
       - Job Lengths: [2.0, 1.0, 10.0, 4.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [7.0, 6.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [49.0, 50.0, 53.0, 54.0, 55.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -1.3766
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [], 'reward': -1.3766} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 4.0, 8.0, 4.0, 4.0, 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]
       - Job Lengths: [2.0, 1.0, 10.0, 4.0, 8.0, 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]
       - Job Waiting Times: [8.0, 7.0, 4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [49.0, 50.0, 53.0, 54.0, 55.0, 56.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -0.3908
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 0}, {'gpu': 3, 'machine': 3, 'rack': 0}, {'gpu': 2, 'machine': 3, 'rack': 0}, {'gpu': 1, 'machine': 3, 'rack': 0}, {'gpu': 0, 'machine': 2, 'rack': 0}, {'gpu': 2, 'machine': 2, 'rack': 0}, {'gpu': 1, 'machine': 2, 'rack': 0}, {'gpu': 3, 'machine': 0, 'rack': 0}], 'reward': -0.3908} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 8.0, 4.0, 4.0, 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]
       - Job Lengths: [1.0, 10.0, 4.0, 8.0, 1.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [8.0, 5.0, 4.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [50.0, 53.0, 54.0, 55.0, 56.0, 57.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -0.8815
        - 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': 5, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 1}], 'reward': -0.8815} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 8.0, 4.0, 4.0, 5.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [1.0, 10.0, 4.0, 8.0, 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]
       - Job Waiting Times: [9.0, 6.0, 5.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [50.0, 53.0, 54.0, 55.0, 56.0, 58.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 0.2366
        - 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': 5, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 0}, {'gpu': 1, 'machine': 1, 'rack': 0}, {'gpu': 2, 'machine': 1, 'rack': 0}], 'reward': 0.2366} </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, 1.0, 0.0, 0.0, 0.0, 0.0, -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]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 8.0, 4.0, 4.0, 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]
       - Job Lengths: [1.0, 10.0, 4.0, 8.0, 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]
       - Job Waiting Times: [10.0, 7.0, 6.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [50.0, 53.0, 54.0, 55.0, 56.0, 59.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 1.889
        - 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': 5, 'assigned_gpus': [{'gpu': 3, 'machine': 1, 'rack': 0}], 'reward': 1.889} </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, 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, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 8.0, 4.0, 4.0, 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]
       - Job Lengths: [1.0, 10.0, 4.0, 8.0, 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]
       - Job Waiting Times: [11.0, 8.0, 7.0, 6.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [50.0, 53.0, 54.0, 55.0, 56.0, 60.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 1.1375
        - 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': 5, 'assigned_gpus': [{'gpu': 1, 'machine': 1, 'rack': 1}], 'reward': 1.1375} </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, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 2.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 8.0, 4.0, 4.0, 5.0, 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]
       - Job Lengths: [1.0, 10.0, 4.0, 8.0, 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]
       - Job Waiting Times: [12.0, 9.0, 8.0, 7.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [50.0, 53.0, 54.0, 55.0, 56.0, 61.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -1.0072
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 0, 'rack': 0}, {'gpu': 3, 'machine': 0, 'rack': 0}], 'reward': -1.0072} </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, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 1.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, 0.0, 0.0, 0.0, 0.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [8.0, 4.0, 4.0, 5.0, 5.0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [10.0, 4.0, 8.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [10.0, 9.0, 8.0, 7.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [53.0, 54.0, 55.0, 56.0, 61.0, 62.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -0.3681
        - Higher reward values indicate better actions.
        - Positive reward values indicate good actions.
        - Negative reward values indicate bad actions.

    **Please provide the selected job index and the assigned GPUs (specify which GPU, machine, and rack), ensuring to minimize the communication cost and avoid incorrect values.** [/INST] {'selected_job_index': 0, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 1}, {'gpu': 3, 'machine': 0, 'rack': 1}, {'gpu': 2, 'machine': 0, 'rack': 1}, {'gpu': 1, 'machine': 0, 'rack': 1}, {'gpu': 0, 'machine': 2, 'rack': 1}, {'gpu': 3, 'machine': 2, 'rack': 1}, {'gpu': 2, 'machine': 2, 'rack': 1}, {'gpu': 1, 'machine': 2, 'rack': 1}], 'reward': -0.3681} </s>


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

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

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

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

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

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 5.0, 5.0, 8.0, 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]
       - Job Lengths: [4.0, 8.0, 1.0, 1.0, 1.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [10.0, 9.0, 8.0, 3.0, 2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [54.0, 55.0, 56.0, 61.0, 62.0, 63.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -3.0617
        - 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': 5, 'assigned_gpus': [{'gpu': 0, 'machine': 1, 'rack': 1}], 'reward': -3.0617} </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, 8.0, 8.0, 8.0, 8.0, 3.0, -1.0, -1.0, -1.0, 8.0, 8.0, 8.0, 8.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 5.0, 5.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 8.0, 1.0, 1.0, 1.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [11.0, 10.0, 9.0, 4.0, 3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [54.0, 55.0, 56.0, 61.0, 62.0, 64.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -2.631
        - 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': 5, 'assigned_gpus': [{'gpu': 1, 'machine': 1, 'rack': 1}, {'gpu': 3, 'machine': 1, 'rack': 1}, {'gpu': 2, 'machine': 1, 'rack': 1}], 'reward': -2.631} </s>


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

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

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

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

    4. **GPU Availability Information:**
       [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 7.0, 7.0, 7.0, 7.0, 2.0, 3.0, 3.0, 3.0, 7.0, 7.0, 7.0, 7.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 5.0, 5.0, 8.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 8.0, 1.0, 1.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [12.0, 11.0, 10.0, 5.0, 4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [54.0, 55.0, 56.0, 61.0, 62.0, 65.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -1.8629
        - 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': 5, 'assigned_gpus': [{'gpu': 0, 'machine': 0, 'rack': 0}, {'gpu': 1, 'machine': 0, 'rack': 0}, {'gpu': 2, 'machine': 0, 'rack': 0}], 'reward': -1.8629} </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, 7.0, 7.0, 7.0, 7.0, 1.0, 2.0, 2.0, 2.0, 7.0, 7.0, 7.0, 7.0, -1.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 5.0, 5.0, 8.0, 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]
       - Job Lengths: [4.0, 8.0, 1.0, 1.0, 1.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [13.0, 12.0, 11.0, 6.0, 5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [54.0, 55.0, 56.0, 61.0, 62.0, 66.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -0.9127
        - 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': 5, 'assigned_gpus': [{'gpu': 0, 'machine': 3, 'rack': 1}], 'reward': -0.9127} </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, 6.0, 6.0, 6.0, 6.0, 0.0, 1.0, 1.0, 1.0, 6.0, 6.0, 6.0, 6.0, 5.0, -1.0, -1.0, -1.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 5.0, 5.0, 8.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 8.0, 1.0, 1.0, 1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Waiting Times: [14.0, 13.0, 12.0, 7.0, 6.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [54.0, 55.0, 56.0, 61.0, 62.0, 67.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: -0.8748
        - 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': 5, 'assigned_gpus': [{'gpu': 1, 'machine': 3, 'rack': 1}, {'gpu': 3, 'machine': 3, 'rack': 1}], 'reward': -0.8748} </s>


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

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

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

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

    4. **GPU Availability Information:**
       [0.0, 0.0, 0.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, -1.0, 5.0, 5.0, 5.0, 5.0, -1.0, 0.0, 0.0, 0.0, 5.0, 5.0, 5.0, 5.0, 4.0, 2.0, -1.0, 2.0]

    5. **Job Queue Information:**
       - GPU Requests for Jobs: [4.0, 4.0, 5.0, 5.0, 8.0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Lengths: [4.0, 8.0, 1.0, 1.0, 1.0, 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]
       - Job Waiting Times: [15.0, 14.0, 13.0, 8.0, 7.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]
       - Job Arrival Times: [54.0, 55.0, 56.0, 61.0, 62.0, 68.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]

    **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: 1.0766
        - 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': 1.0766} </s>