#include #define GET_MACRO(a, b, c, NAME, ...) NAME #define rep(...) GET_MACRO(__VA_ARGS__, rep3, rep2)(__VA_ARGS__) #define rep2(i, a) rep3 (i, 0, a) #define rep3(i, a, b) for (int i = (a); i < (b); i++) #define repr(...) GET_MACRO(__VA_ARGS__, repr3, repr2)(__VA_ARGS__) #define repr2(i, a) repr3 (i, 0, a) #define repr3(i, a, b) for (int i = (b) - 1; i >= (a); i--) #define chmin(a, b) ((b) < a && (a = (b), true)) #define chmax(a, b) (a < (b) && (a = (b), true)) using namespace std; typedef long long ll; typedef long double ld; ll N, L, R; ld dp[101010]; void solve1() { dp[0] = 1; rep (i, N) repr (j, i, i * 6 + 7) { dp[j] = 0; rep (k, 1, 7) { if (j - k >= 0) dp[j] += dp[j - k] / 6l; } } ld pr = 0; rep (i, L, R + 1) pr += dp[i]; printf("%.20f\n", (double)pr); } ld f(ld x) { const ld c = sqrt(2.0l * acos(-1.0l)); return exp(-x * x / 2) / c; } void solve2() { ld m = (7.0l / 2.0l) * N; ld s = sqrt((35.0l / 12.0l) * N); ld l = (L - m - 0.5l) / s; ld r = (R - m + 0.5l) / s; int n = 1 << 20; ld dx = (r - l) / n; ld ans = f(l) + f(r); rep (i, 1, n) { if (i % 2 == 1) { ans += 4 * f(l + dx * i); } else { ans += 2 * f(l + dx * i); } } ans *= dx / 3; printf("%.20f\n", (double)ans); } int main() { cin >> N >> L >> R; chmin(L, N * 6); chmin(R, N * 6); if (N < 5000) { solve1(); } else { solve2(); } return 0; }