You are given a floating-point number `hour`, representing the amount of time you have to reach the office. To commute to the office, you must take `n` trains in sequential order. You are also given an integer array `dist` of length `n`, where `dist[i]` describes the distance (in kilometers) of the `ith` train ride.

Each train can only depart at an integer hour, so you may need to wait in between each train ride.

- For example, if the `1st` train ride takes `1.5` hours, you must wait for an additional `0.5` hours before you can depart on the `2nd` train ride at the 2 hour mark.

Return the minimum positive integer speed (in kilometers per hour) that all the trains must travel at for you to reach the office on time, or `-1` if it is impossible to be on time.

Tests are generated such that the answer will not exceed `107` and `hour` will have at most two digits after the decimal point.

Example 1:

    Input: dist = [1,3,2], hour = 6
    Output: 1
    Explanation: At speed 1:
    - The first train ride takes 1/1 = 1 hour.
    - Since we are already at an integer hour, we depart immediately at the 1 hour mark. The second train takes 3/1 = 3 hours.
    - Since we are already at an integer hour, we depart immediately at the 4 hour mark. The third train takes 2/1 = 2 hours.
    - You will arrive at exactly the 6 hour mark.

Example 2:

    Input: dist = [1,3,2], hour = 2.7
    Output: 3
    Explanation: At speed 3:
    - The first train ride takes 1/3 = 0.33333 hours.
    - Since we are not at an integer hour, we wait until the 1 hour mark to depart. The second train ride takes 3/3 = 1 hour.
    - Since we are already at an integer hour, we depart immediately at the 2 hour mark. The third train takes 2/3 = 0.66667 hours.
    - You will arrive at the 2.66667 hour mark.

Example 3:

    Input: dist = [1,3,2], hour = 1.9
    Output: -1
    Explanation: It is impossible because the earliest the third train can depart is at the 2 hour mark.

Constraints:

- `n == dist.length`
- `1 <= n <= 105`
- `1 <= dist[i] <= 105`
- `1 <= hour <= 109`
- There will be at most two digits after the decimal point in `hour`.