#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; } double memo[1 << 8][9]; int N; int cards[8]; double rec(int subset, int wins) { double &r = memo[subset][wins+4]; if(r == r) return r; if(subset == 0) return wins > 4 ? 1 : 0; r = 0; int cnt = 0; rep(i, N) if(subset >> i & 1) reu(j, N, 2*N) if(subset >> j & 1) { ++ cnt; r += rec(subset & ~(1 << i) & ~(1 << j), cards[i] > cards[j] ? wins+1 : wins-1); } r /= cnt; return r; } int main() { scanf("%d", &N); rep(i, 2 * N) scanf("%d", &cards[i]); mset(memo, -1); double ans = rec((1 << (2 * N)) - 1, 4); printf("%.10f\n", ans); return 0; }