MOD = 998244353 N, M = map(int, input().split()) PK = [list(map(int, input().split())) for _ in range(M)] # N: 処理する区間の長さ N0 = 2 ** (N + 1).bit_length() data = [0] * (2 * N0) # a_k の値を x に更新 def update(k, x): k += N0 - 1 data[k] = x # 加算にするなら+=に while k >= 0: k = (k - 1) // 2 data[k] = data[2 * k + 1] + data[2 * k + 2] # 区間[l, r)の区間和 def query(l, r): s = 0 L = l + N0; R = r + N0 while L < R: if R & 1: R -= 1 s += data[R - 1] if L & 1: s += data[L - 1] L += 1 L >>= 1; R >>= 1 return s fact = [1] * (N + 1) r = 1 for i in range(1, N + 1): fact[i] = r = r * i % MOD ans = (N - M) * (N - M - 1) // 2 ans %= MOD ans *= fact[N - M] ans //= 2 ans %= MOD #print(ans) PK.sort(key=lambda x: x[1]) cnt = 0 for i, (p, k) in enumerate(PK, start=1): update(p, 1) cnt += query(p + 1, N + 1) cnt %= MOD cnt *= fact[N - M] ans += cnt ans %= MOD #print(ans) tmp3 = 0 for i, (p, k) in enumerate(PK, start=1): tmp = k - i tmp2 = N - M - tmp tmp3 += (N - p - query(p + 1, N + 1)) * tmp tmp3 += (p - query(0, p + 1)) * tmp2 tmp3 %= MOD tmp3 *= fact[N - M - 1] tmp3 %= MOD ans += tmp3 ans %= MOD print(ans)