2026 Fermat Problem 24

Adam collects n rocks, where 100<n<300. The ratio of the number of grey rocks collected to the number of spotted rocks collected is 5:2. The number of rocks that are both grey and spotted is m, and is equal to the number of rocks that are neither grey nor spotted. What are the rightmost two digits of the number of possible ordered pairs of integers (m,n)?

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Full credit to this problem is given to the CEMC, you may view all Fermat contests here.