#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; constexpr int FACT_SIZE = 1000000; mint Fact[FACT_SIZE + 1]; mint iFact[FACT_SIZE + 1]; const auto fact_init = [] { Fact[0] = mint::raw(1); for(int i = 1; i <= FACT_SIZE; ++i) { Fact[i] = Fact[i-1] * i; } iFact[FACT_SIZE] = Fact[FACT_SIZE].inv(); for(int i = FACT_SIZE; i; --i) { iFact[i-1] = iFact[i] * i; } return false; }(); mint comb(int n, int k) { if (k == 0) return mint::raw(1); assert(n >= 0 && k >= 0); if (k > n) return mint::raw(0); return Fact[n] * iFact[n - k] * iFact[k]; } mint icomb(int n, int k) { return iFact[n] * Fact[n - k] * Fact[k]; } mint fact(int n) {return Fact[n];} mint perm(int n, int k) { assert(0 <= n); return Fact[n] * iFact[n - k]; } mint f(int len) { if (len % 2) return 0; if (len == 0) return 1; int n = len / 2; return comb(2 * n, n) - comb(2 * n, n - 1); } } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; queue> q; q.push({1}); rep(_, m) { int l, r; cin >> l >> r; l--; vector g(r - l + 1); g[0] = 1; g[r - l] = -f(r - l); q.emplace(move(g)); } while (q.size() >= 2) { auto f = move(q.front()); q.pop(); auto g = move(q.front()); q.pop(); q.emplace(convolution(f, g)); } auto h = move(q.front()); q.pop(); mint ans; for (int i = 0; mint v : h) { ans += f(n - i) * v; // cout << i << ' ' << v.val() << endl; i++; } cout << ans.val() << '\n'; }