#include using namespace std; struct iofast_t { iofast_t() { ios::sync_with_stdio(false); cin.tie(nullptr); } } iofast; struct uns_t {} uns; template auto vec(Element init, Head arg, Args ...args) { if constexpr (sizeof...(Args) == 0) return vector(arg, init); else return vector(arg, vec(init, args...)); } template auto vec(uns_t, Head arg, Args ...args) { return vec(Element(), arg, args...); } template auto distance(const Container &c, decltype(begin(c)) iter) { return distance(begin(c), iter); } template ::value_type>> auto isort(RIter first, RIter last, Compare comp = Compare()) { vector i(distance(first, last)); iota(begin(i), end(i), 0); sort(begin(i), end(i), [&](auto x, auto y) { return comp(*(first + x), *(first + y)); }); return i; } template typename, typename = void_t<>> struct detect : false_type {}; template typename Check> struct detect>> : true_type {}; template typename Check> constexpr inline bool detect_v = detect::value; template using has_member_sort = decltype(declval().sort()); template > auto sorted(Container c, Compare comp = Compare()) { if constexpr (detect_v) { c.sort(comp); return c; } else { sort(begin(c), end(c), comp); return c; } } template > auto uniqued(Container c, Compare comp = Compare()) { c.erase(unique(begin(c), end(c), comp), end(c)); return c; } template > T &chmin(T &l, T r, Compare &&f = less()) { return l = min(l, r, f); } template > T &chmax(T &l, T r, Compare &&f = less()) { return l = max(l, r, f); } template constexpr auto fix(F &&f) noexcept { return [f = std::tuple(std::forward(f))](auto &&...args) mutable { return std::get<0>(f)(fix(std::get<0>(f)), std::forward(args)...); }; } #include int op(int x, int y) { return x + y; } int elem() { return 0; } using segtree = atcoder::segtree; #include using mint = atcoder::modint998244353; int main() { int n, m; cin >> n >> m; auto l = vec>(uns, m); for (auto &[p, k] : l) { cin >> p >> k; --p; --k; } sort(begin(l), end(l), [](auto x, auto y) { return x[1] < y[1]; }); auto f = vec(uns, n + 1); f[0] = 1; for (int i = 1; i <= n; ++i) { f[i] = f[i - 1] * i; } mint ans = [&]() { mint sum = 0; segtree seg(n); for (auto [p, k] : l) { sum += seg.prod(p, n); seg.set(p, 1); } return sum * f[n - m]; }(); auto used = vec(false, n); for (auto [p, k] : l) { used[p] = true; } segtree unused(n); for (int i = 0; i < n; ++i) { if (!used[i]) { unused.set(i, 1); } } int used1 = 0; for (auto [p, k] : l) { mint rem = k - used1++; mint upper = unused.prod(p, n); ans += upper * rem * f[max(0, n - m - 1)]; } reverse(begin(l), end(l)); int used2 = 0; for (auto [p, k] : l) { mint rem = (n - k - 1) - used2++; mint lower = unused.prod(0, p); ans += lower * rem * f[max(0, n - m - 1)]; } mint count = n - m; ans += (count * (count - 1) / 2) * f[max(0, n - m - 2)] * (mint(max(1, n - m)) * max(0, n - m - 1) / 2); cout << ans.val() << endl; }