You [Character Names/Titles] I'm curious about how you can make this as an academic exercise involving complex mathematical puzzle: Write a detailed, intricately-designed marketing strategy for a new product launch. The plan should contain the following constraints: it must be implemented within the next three years; the company has to establish a strong online presence and expand their international reach by 50% within that time frame; the strategies you'll outline need to consider not only traditional advertising techniques but also leverage unconventional marketing channels, social media outreach for engagement beyond your demographic target market. The strategy must account for budgetary constraints of $1 million per year and should incorporate a tiered approach that segments the release phases into three distinct stages: localized promotions in Q2 2023, followed by an aggressive digital campaign starting from Q3 2024 to boost online presence. Include potential ROI for each stage of the plan, predicting both qualitative and quantitative metrics; provide a contingency strategy for mitigating risks such as fluctuations in international markets or shifts in consumer behavior that could impact the digital campaign's effectiveness. Additionally, calculate expected return on investment (ROI) after considering market saturation points at 5%, annual inflation rates of 2% compounded with a projected sales increase by a conservative estimate of 30% annually and an average cost per customer acquisition rate of $15 in year one, increasing progressively to reach breakeveness. The company also wants the plan to be environmentally sustainable while considering cultural sensitivities within diverse markets, ensuring that promotional materials are respectful of local customs and regulations. Provide a detailed marketing strategy for this scenario