using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray(); public static void Main() { Solve(); } static void Solve() { var c = NList; var (n, m) = (c[0], c[1]); var map = NArr(m); WriteLine(Perm(n, m, map)); } static long Perm(int n, int m, int[][] map) { Array.Sort(map, (l, r) => l[0].CompareTo(r[0])); var p = Enumerable.Repeat(-1, n).ToArray(); var pos = Enumerable.Repeat(-1, n).ToArray(); var ans = 0L; var ft = new FenwickTree(n + 1); foreach (var info in map) { p[info[0] - 1] = info[1] - 1; pos[info[1] - 1] = info[0] - 1; ans += ft.Sum(n) - ft.Sum(info[1] - 1); ft.Add(info[1] - 1, 1); } var mod = 998_244_353; ans %= mod; if (n > m) { var all = 1L; var rest1 = 1L; var inv2 = 499_122_177; for (var i = 0; i < n - m; ++i) { all = all * (i + 1) % mod; if (i + 1 < n - m) rest1 = rest1 * (i + 1) % mod; } ans = (ans + (long)(n - m) * (n - m - 1) % mod * inv2 % mod * inv2 % mod) % mod * all % mod; var sub = 0L; var count = new int[n]; for (var i = n - 1; i >= 0; --i) { if (p[i] < 0) ++count[i]; if (i + 1 < n) count[i] += count[i + 1]; } var add = 0L; for (var i = n - 1; i >= 0; --i) { if (pos[i] >= 0) add += count[pos[i]]; else sub = (sub + add % mod) % mod; } count = new int[n]; for (var i = 0; i < n; ++i) { if (p[i] < 0) ++count[i]; if (i > 0) count[i] += count[i - 1]; } add = 0L; for (var i = 0; i < n; ++i) { if (pos[i] >= 0) add += count[pos[i]]; else sub = (sub + add % mod) % mod; } ans = (ans + sub * rest1) % mod; } return ans; } static long Exp(long n, long k, int mod) { if (k == 0) return 1; if (k == 1) return n % mod; var half = Exp(n, k / 2, mod); var result = (half * half) % mod; return ((k % 2) == 0) ? result : ((result * n) % mod); } class FenwickTree { int size; long[] tree; public FenwickTree(int size) { this.size = size; tree = new long[size + 2]; } public void Add(int index, int value) { ++index; for (var x = index; x <= size; x += (x & -x)) tree[x] += value; } /// 先頭からindexまでの和(include index) public long Sum(int index) { if (index < 0) return 0; ++index; var sum = 0L; for (var x = index; x > 0; x -= (x & -x)) sum += tree[x]; return sum; } /// Sum(x) >= value となる最小のxを求める // 各要素は非負であること public int LowerBound(long value) { if (value < 0) return -1; var x = 0; var b = 1; while (b * 2 <= size) b <<= 1; for (var k = b; k > 0; k >>= 1) { if (x + k <= size && tree[x + k] < value) { value -= tree[x + k]; x += k; } } return x; } } }