#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) #if defined(_MSC_VER) || __cplusplus > 199711L #define aut(r,v) auto r = (v) #else #define aut(r,v) __typeof(v) r = (v) #endif #define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it) #define all(o) (o).begin(), (o).end() #define pb(x) push_back(x) #define mp(x,y) make_pair((x),(y)) #define mset(m,v) memset(m,v,sizeof(m)) #define INF 0x3f3f3f3f #define INFL 0x3f3f3f3f3f3f3f3fLL using namespace std; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template inline void amin(T &x, U y) { if(y < x) x = y; } template inline void amax(T &x, U y) { if(x < y) x = y; } typedef long double Num; inline Num sq(Num x) { return x*x; } Num cdf(Num mu, Num sigma, Num x) { return (1 + erf((x - mu) / (sigma * sqrt(2.L)))) / 2; } int main() { const int D = 6; const int MaxN = 2000; vector > dp(MaxN+1, vector(MaxN * (D - 1) + 1)); dp[0][0] = 1; rep(i, MaxN) { rer(j, 0, i * (D - 1)) { Num x = dp[i][j]; if(x < 1e-99) continue; rep(d, D) dp[i + 1][j + d] += x / D; } } long long N; while(~scanf("%lld", &N)) { long long L; long long R; scanf("%lld%lld", &L, &R); L -= N, R -= N; amax(L, 0LL); amin(R, N * (D - 1)); Num ans; if(R < L) { ans = 0; }else if(N <= MaxN) { ans = 0; rer(n, (int)L, (int)R) ans += dp[(int)N][n]; } else { Num mu = (D - 1) / 2.L * N; Num sigma = sqrt(70.L / 24 * N); ans = cdf(mu, sigma, R + .5) - cdf(mu, sigma, L - .5); } printf("%.10f\n", (double)ans); } return 0; }