A video platform experiencing explosive growth in user base needs to scale its live streaming capabilities. To cope with the increased demand, they decide to build a distributed transcoding system to convert incoming highresolution video streams into different formats suitable for various devices and network bandwidths. With this problem statement answer the following:

a Design a strategy for dynamically partitioning incoming video streams and distributing them across available nodes for realtime transcoding. Consider factors like stream bitrate, viewer count, and node capacity to ensure efficient load balancing and seamless viewing experience.

b Develop an effective monitoring system to track transcoding performance metrics like delay, frame rate, and resource utilization across the distributed system. Implement mechanisms for dynamic tuning and optimization based on the collected data to maintain optimal performance and resource efficiency.