#include <iostream>
#include <vector>
#include <cmath>

using namespace std;

static const double PI = 3.141592653589793238462643383;
static const double EPS = 1e5;

int main()
{
	int N;
	double R;
	while (cin >> N >> R && N) {
		double aSum = 1.0;
		vector<pair<int, int> > current;

		//1本目
		{
			int a, b, c;
			cin >> a >> b >> c;
			aSum *= a;
			current.push_back(make_pair(b, c));
		}

		//2本目以降
		for (int i = 1; i < N; ++i){
			vector<pair<int, int> > next;
			int a0, c, d;
			cin >> a0 >> c >> d;
			aSum *= a0;
			aSum *= 0.5;

			for (vector<pair<int, int> >::iterator it = current.begin(); it != current.end(); ++it){
				const int a = it->first;
				const int b = it->second;
				next.push_back(make_pair(c - a, 90 - b + d));
				next.push_back(make_pair(a + c, b + d - 90));
			}

			swap(current, next);
		}

		//答え
		double answer = 0.0;
		for (vector<pair<int, int> >::iterator it = current.begin(); it != current.end(); ++it){
//			cout << "-----" << endl;
//			cout << it->first << endl;
//			cout << it->second << endl;
			const double a = it->first;
			const double b = PI / 180.0 * it->second;

			if (it->first == 0){
				answer += R * sin(b);
			} else {
				answer += (-cos(a * R + b) + cos(b)) / a;
			}
		}
		answer *= aSum;

		printf("%.20lf\n", answer);
	}
}