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Assume you are a developer for a fancy travel platform and just implemented and deployed a new hotel recommender system. It is configured to recommend 5 hotels per user based on their travel style. Your catalog is composed of 500 hotels to which the recommender system has access.
For your first two users, the recommender creates the following ranked recommendation lists, which are displayed to each user. You record the hotels (items in the recommendation list) that each user clicks on to display further information and use this data as binary relevance score.
| rel(u1) | rel(u2) | |
| i1 | 0 | 0 |
| i2 | 0 | 1 |
| i3 | 0 | 1 |
| i4 | 1 | 1 |
| i5 | 0 | 1 |
What is the MRR of your recommender? Provide your answer as number in [0,1].