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As I noticed in core Ticks are defined in Formulas

private static final int HP_REGENERATE_PERIOD = 3000; // 3 secs

My goal is to make tick 1 sec and it is only applicable when player is not on the olympiad. But when I change
HP_REGENERATE_PERIOD to 1000 it will be added even on olympiad.

How to make it normal at oly?

Make it tick every 1000 ms as you did, and add a line inside calcMpRegen fuctnion:

if(activeChar.isInOlympiadMode())
mpreg *= 0.33;

You basically counter the 3x frequency with a 1/3 effect.

Other way:

If you want the period to change, you gotta stop the task that regenerates and then start it again with the new period. ( havent tested it, not sure about it. But i think its inside charStatus. ).