import <Utilities/Random.sl>;
import <Utilities/Conversion.sl>;

main(args(2)) := monteCarlo(stringToInt(args[1]), stringToInt(args[2]));

monteCarlo(n, seed) :=
	let
		totalHits := monteCarloHelper(n, seedRandom(seed), 0);
	in
		(totalHits / intToFloat(n))*4.0;

monteCarloHelper(n, generator, result) :=
	let
		xRand := getRandom(generator);
		x := xRand.Value/(generator.RandomMax + 1.0);
		yRand := getRandom(xRand.Generator);
		y := yRand.Value/(generator.RandomMax + 1.0);
		
		newResult := result + 1 when x^2 + y^2 < 1.0 else
					 result;
	in
		result when n < 0 else
		monteCarloHelper(n - 1, yRand.Generator, newResult);