162015

If you cannot open the video, please read this article in which I wrote the reason how I solved this problem. In this process, i didn't change any settings, and started with 6:00 and played first. We need to turn the clock, at first to 7:00, then to 8:15, then to 9:30, then to 10:45 and at last to 12:00. After 7:00, no matter what the opponent plays, when the minimum time that can be increased is 15 minutes and the maximum time that can be increased is 60 minutes, we will win because even if the opponent increases the current time by the minimum amount of time (i.e. 15 minutes) the next suitable time slot after 7:00, according to me (i.e. 8:15, 9:30 or 10:45) can be reached by me. I figured this out by subtracting at first the maximum amount of time that can be increased (i.e. 60 minutes) from 12:00 and given subtracting the minimum amount of time that can be increased (i.e. 15 minutes) and I kept on subtracting
75 minutes (60 minutes+15 minutes) from 12:00, till i reach 7:00, which is the minimum time that I can reach with the maximum amount of time that I can increase (i.e. 60 minutes).