Instagram Peak Engagement Time and Posting Schedule Optimizer

Act as a Principal Social Media Data Scientist. Execute a rigorous mathematical analysis of the raw [WEEKLY_INSIGHTS_DATA] (including hourly active follower arrays and engagement velocity). Map these specific data nodes directly against the [TIMEZONE] and cross-reference with the [AUDIENCE_LOCATION] geographic density. Algorithmically identify the top 3 absolute highest-density 'power hours' for every single day of the week. Output a highly structured 7-day chronobiological posting schedule that strictly accounts for 'prime time' algorithmic visibility windows and mandatory 4-hour content cooldown periods to mathematically maximize organic reach without cannibalizing previous posts.