monocarp playing game assimilation IV in game manage great empire build city conquer new landsmonocarp empire n city in order conquer new land plans build Monument city the game turnbase Monocarp amateur build exactly Monument turnMonocarp m point map he d like control construct Monuments for point know distance city Monuments work follow way build city Monument control point distance 1 city Next turn Monument control point distance 2 turn distance 3 Monocarp build n Monuments n turns empire conquer point control MonumentMonocarp can not figure strategy turn choose city Monument randomly remain city city Monuments Monocarp want know point m conquer end turn number n Help calculate expect number conquer point