import sys sys.setrecursionlimit(200005) int1 = lambda x: int(x)-1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() # dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = 10**16 md = 998244353 # md = 10**9+7 class BitSum: def __init__(self, n): self.n = n+1 self.table = [0]*self.n def add(self, i, x): i += 1 while i < self.n: self.table[i] += x i += i & -i # [0,i]の和 def sum(self, i): i += 1 res = 0 while i > 0: res += self.table[i] i -= i & -i return res # [l,r)の和 def sumlr(self, l, r): if l >= r: return 0 if l == 0: return self.sum(r-1) return self.sum(r-1)-self.sum(l-1) # 数列を度数分布とみたときに、x番目がどのインデックスにあるかを返す # xが大きすぎるときは配列の長さnを返す def rank(self, x): idx = 0 for lv in range((self.n-1).bit_length()-1, -1, -1): mid = idx+(1 << lv) if mid >= self.n: continue if self.table[mid] < x: x -= self.table[mid] idx += 1 << lv return idx def nHr(hn, hr): return nCr(hn+hr-1, hr-1) def nPr(com_n, com_r): if com_r < 0: return 0 if com_n < com_r: return 0 return fac[com_n]*ifac[com_n-com_r]%md def nCr(com_n, com_r): if com_r < 0: return 0 if com_n < com_r: return 0 return fac[com_n]*ifac[com_r]%md*ifac[com_n-com_r]%md # 準備 n_max = 200005 fac = [1] for i in range(1, n_max+1): fac.append(fac[-1]*i%md) ifac = [1]*(n_max+1) ifac[n_max] = pow(fac[n_max], md-2, md) for i in range(n_max-1, 1, -1): ifac[i] = ifac[i+1]*(i+1)%md n = II() aa = LI() enc = {a: i for i, a in enumerate(sorted(set(aa)))} aa = [enc[a] for a in aa] bit = BitSum(n) # Aの転倒数 inv = 0 for i, a in enumerate(aa): inv += i-bit.sum(a) bit.add(a, 1) # 位置は関係なく大小のペア pair = 0 for a in aa: pair += n-bit.sum(a) # 同グループ内に、ある転倒数ができる期待値 ev1 = 0 for d in range(2, n+1): ev1 += nCr(n-2, d-2)*pow(nCr(n, d), md-2, md)%md ev1 %= md # 転倒数の個数をかける ev1 = ev1*inv%md # 別グループ間で、ある転倒数ができる期待値 ev2 = 0 s = 0 for d in range(1, n+1): ev2 += s*d ev2 %= md s += d ev2 = ev2*pow(n, 2*(md-2), md)%md # ペアの数をかける ev2 = ev2*pair%md # すべての選び方を求める tot = 1 for d in range(1, n+1): tot = tot*nCr(n, d)%md # 期待値×場合の数で答え ans = (ev1+ev2)*tot%md print(ans)