#include #include int cmp_ll (const void *ap, const void *bp) { long long a = *(long long *)ap; long long b = *(long long *)bp; if (a < b) { return -1; } if (a > b) { return 1; } return 0; } long long power_mod (long long a, long long b, long long mod_num) { long long ans = 1LL; if (b > 0LL) { ans = power_mod(a, b/2LL, mod_num); ans = (ans * ans) % mod_num; if (b%2LL == 1LL) { ans = (ans * a) % mod_num; } } return ans; } int main () { int n = 0; int q = 0; int l = 0; int r = 0; int res = 0; long long ans = 1LL; long long mod_num = 998244353LL; long long s[200001] = {}; int cnt = 0; int is_ok = 1; long long fact[200002] = {}; long long invf[200002] = {}; res = scanf("%d", &n); res = scanf("%d", &q); for (int i = 0; i < q; i++) { res = scanf("%d", &l); res = scanf("%d", &r); s[l-1] |= (1LL<<((long long)i)); s[r] |= (1LL<<((long long)i)); } fact[0] = 1LL; for (int i = 0; i <= n; i++) { fact[i+1] = fact[i]; fact[i+1] *= (long long) (i+1); fact[i+1] %= mod_num; } invf[n+1] = power_mod(fact[n+1], mod_num-2LL, mod_num); for (int i = n+1; i > 0; i--) { invf[i-1] = invf[i]; invf[i-1] *= (long long) i; invf[i-1] %= mod_num; } for (int i = 1; i < n; i++) { s[i] = (s[i]^s[i-1]); } qsort(s, n, sizeof(long long), cmp_ll); cnt = 1; s[n] = -1LL; for (int i = 1; i <= n; i++) { if (s[i] != s[i-1]) { if (s[i-1] != 0LL && cnt%2 == 1) { is_ok = 0; } else if (cnt%2 == 1) { long long tmp1 = fact[cnt+1]; long long tmp2 = fact[cnt+1]; tmp1 *= invf[(cnt+1)/2]; tmp1 %= mod_num; tmp1 *= invf[(cnt+1)/2]; tmp1 %= mod_num; tmp2 *= invf[(cnt+3)/2]; tmp2 %= mod_num; tmp2 *= invf[(cnt-1)/2]; tmp2 %= mod_num; ans *= tmp1+mod_num-tmp2; ans %= mod_num; } else { long long tmp1 = fact[cnt]; long long tmp2 = fact[cnt]; tmp1 *= invf[cnt/2]; tmp1 %= mod_num; tmp1 *= invf[cnt/2]; tmp1 %= mod_num; tmp2 *= invf[1+cnt/2]; tmp2 %= mod_num; tmp2 *= invf[cnt/2-1]; tmp2 %= mod_num; ans *= tmp1+mod_num-tmp2; ans %= mod_num; } cnt = 0; } cnt++; } if (is_ok <= 0) { printf("0\n"); return 0; } ans *= fact[n/2]; ans %= mod_num; ans *= fact[n-n/2]; ans %= mod_num; printf("%lld\n", ans); return 0; }