<s>[INST] In a subway station, display screens show the current time "HH:MM" where both hours ("HH") and minutes ("MM") fit into 2 digits so that H1 ≤ H2 and M1 ≤ M2.

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In a given time, a cyclist goes through the subway station. If the cyclist goes at the speed needed to arrive in time to see the entire numeric value of time changing on at least one display screen, then what percentage of the subway stations are needed for the cyclist to have at least a 99% probability of getting to the station on time, considering that the cyclist could enter in any time of the day?[/INST]