As a Triangle Country Optimizer (TCO in short), you need to build some triangular power-net to avert your empire being attacked. There are n beacons in the country and each time you may use any three of them as the corners to build triangular power-nets. However, you recalled that any two power-nets should never intersect with positive area, since doubly protected area meant unfairness. You must gain all the ascendancy to get the maximum area being covered that you can achieve.