import java.math.BigInteger; import java.util.Arrays; import java.util.Scanner; public class Main { public static void main(String[] args) { new Main().run(); } double sinc(double x) { if (x < 1e-8) { return 1; } else { return Math.sin(x) / x; } } double solve(double x, double a) { double ret = Math.cos(x + 0.5) / (x + 1) + Math.cos(-x + 0.5) / (-x + 1); for (int i = 1; i < 10000; ++i) { ret -= Math.cos(x + i + 0.5) / (x + i + 1) / (x + i); ret -= Math.cos(-x + i + 0.5) / (-x + i + 1) / (-x + i); } ret *= 0.5 / Math.sin(0.5); ret += sinc(x); return a * ret; } void run() { Scanner sc = new Scanner(System.in); int n = sc.nextInt(); double ans = 0; for (int i = 0; i < n; ++i) { double x = sc.nextDouble(); double a = sc.nextDouble(); ans += solve(x, a); } System.out.println(ans); } static void tr(Object... objects) { System.out.println(Arrays.deepToString(objects)); } }