#include using namespace std; #define rep(i, n) for (int i = 0; i < (n); i++) #define per(i, n) for (int i = (n)-1; i >= 0; i--) #define rep2(i, l, r) for (int i = (l); i < (r); i++) #define per2(i, l, r) for (int i = (r)-1; i >= (l); i--) #define each(e, v) for (auto &e : v) #define MM << " " << #define pb push_back #define eb emplace_back #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; template using minheap = priority_queue, greater>; template using maxheap = priority_queue; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template int flg(T x, int i) { return (x >> i) & 1; } int pct(int x) { return __builtin_popcount(x); } int pct(ll x) { return __builtin_popcountll(x); } int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } int botbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int botbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template void printn(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << '\n'; } template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template vector id_sort(const vector &v, bool greater = false) { int n = v.size(); vector ret(n); iota(begin(ret), end(ret), 0); sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; }); return ret; } template void reorder(vector &a, const vector &ord) { int n = a.size(); vector b(n); for (int i = 0; i < n; i++) b[i] = a[ord[i]]; swap(a, b); } template T floor(T x, T y) { assert(y != 0); if (y < 0) x = -x, y = -y; return (x >= 0 ? x / y : (x - y + 1) / y); } template T ceil(T x, T y) { assert(y != 0); if (y < 0) x = -x, y = -y; return (x >= 0 ? (x + y - 1) / y : x / y); } template pair operator+(const pair &p, const pair &q) { return make_pair(p.first + q.first, p.second + q.second); } template pair operator-(const pair &p, const pair &q) { return make_pair(p.first - q.first, p.second - q.second); } template istream &operator>>(istream &is, pair &p) { S a; T b; is >> a >> b; p = make_pair(a, b); return is; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); cerr << fixed << setprecision(15); } } io_setup; constexpr int inf = (1 << 30) - 1; constexpr ll INF = (1LL << 60) - 1; // constexpr int MOD = 1000000007; constexpr int MOD = 998244353; template struct Mod_Int { int x; Mod_Int() : x(0) {} Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} static int get_mod() { return mod; } Mod_Int &operator+=(const Mod_Int &p) { if ((x += p.x) >= mod) x -= mod; return *this; } Mod_Int &operator-=(const Mod_Int &p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } Mod_Int &operator*=(const Mod_Int &p) { x = (int)(1LL * x * p.x % mod); return *this; } Mod_Int &operator/=(const Mod_Int &p) { *this *= p.inverse(); return *this; } Mod_Int &operator++() { return *this += Mod_Int(1); } Mod_Int operator++(int) { Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int &operator--() { return *this -= Mod_Int(1); } Mod_Int operator--(int) { Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator-() const { return Mod_Int(-x); } Mod_Int operator+(const Mod_Int &p) const { return Mod_Int(*this) += p; } Mod_Int operator-(const Mod_Int &p) const { return Mod_Int(*this) -= p; } Mod_Int operator*(const Mod_Int &p) const { return Mod_Int(*this) *= p; } Mod_Int operator/(const Mod_Int &p) const { return Mod_Int(*this) /= p; } bool operator==(const Mod_Int &p) const { return x == p.x; } bool operator!=(const Mod_Int &p) const { return x != p.x; } Mod_Int inverse() const { assert(*this != Mod_Int(0)); return pow(mod - 2); } Mod_Int pow(long long k) const { Mod_Int now = *this, ret = 1; for (; k > 0; k >>= 1, now *= now) { if (k & 1) ret *= now; } return ret; } friend ostream &operator<<(ostream &os, const Mod_Int &p) { return os << p.x; } friend istream &operator>>(istream &is, Mod_Int &p) { long long a; is >> a; p = Mod_Int(a); return is; } }; using mint = Mod_Int; template T binary_gcd(T a, T b) { T g = 1; while (a != 0 && b != 0) { g <<= ((1 ^ (a & 1)) & (1 ^ (b & 1))); a >>= (1 ^ (a & 1)); b >>= (1 ^ (b & 1)); if (a & b & 1) { if (a < b) swap(a, b); a = (a - b) >> 1; } } return g * (a + b); } template T binary_lcm(const T &a, const T &b) { return a * (b / binary_gcd(a, b)); } // |x| と |y| は結果として max(a,b) 以下になる。 template T extgcd(const T &a, const T &b, T &x, T &y) { if (b == 0) { x = 1, y = 0; return a; } T g = extgcd(b, a % b, y, x); y -= (a / b) * x; return g; } int mod(const long long &a, const int &m) { int ret = a % m; return ret + (ret < 0 ? m : 0); } // a と m は互いに素 int modinv(const int &a, const int &m) { int x, y; extgcd(a, m, x, y); return mod(x, m); } mint tw = mint(2).inverse(); // Σ[0<=i mint floor_sum(const T &n, const T &m, T a, T b) { mint ret = mint(a / m) * mint(n) * mint(n - 1) * mint(tw) + mint(b / m) * mint(n); a %= m, b %= m; T y = (a * n + b) / m; if (y == 0) return ret; ret += floor_sum(y, a, m, a * n - (m * y - b)); return ret; } // min{ai+b mod m | 0<=i T linear_mod_min(T n, const T &m, T a, T b, bool is_min = true, T p = 1, T q = 1) { if (a == 0) return b; if (is_min) { if (b >= a) { T t = (m - b + a - 1) / a; T c = (t - 1) * p + q; if (n <= c) return b; n -= c; b += a * t - m; } b = a - 1 - b; } else { if (b < m - a) { T t = (m - b - 1) / a; T c = t * p; if (n <= c) return a * ((n - 1) / p) + b; n -= c; b += a * t; } b = m - 1 - b; } T d = m / a; T c = linear_mod_min(n, a, m % a, b, !is_min, (d - 1) * p + q, d * p + q); return is_min ? a - 1 - c : m - 1 - c; } template pair Chinese_remainder_theorem(const T &a1, const T &m1, const T &a2, const T &m2) { T x, y, g = extgcd(m1, m2, x, y); if ((a2 - a1) % g != 0) return make_pair(0, -1); T m = m1 * (m2 / g); T tmp = mod(x * ((a2 - a1) / g), m2 / g); T a = (m1 * tmp + a1) % m; return make_pair(a, m); } // m の各要素がそれぞれ互いに素とは限らない場合の前処理 bool prepare_Garner(vector &a, vector &m) { int n = a.size(); for (int i = 0; i < n; i++) { for (int j = 0; j < i; j++) { int g = binary_gcd(m[i], m[j]); if ((a[i] - a[j]) % g != 0) return false; m[i] /= g, m[j] /= g; int gi = binary_gcd(m[i], g), gj = g / gi; do { g = binary_gcd(gi, gj); gi *= g, gj /= g; } while (g > 1); m[i] *= gi, m[j] *= gj; } } return true; } // m の各要素はそれぞれ互いに素 int Garner(vector a, vector m, const int &M) { m.push_back(M); vector coeffs(m.size(), 1); vector constants(m.size(), 0); for (int k = 0; k < (int)a.size(); k++) { long long x = a[k] - constants[k], y = modinv(coeffs[k], m[k]); long long t = mod(x * y, m[k]); for (int i = k + 1; i < (int)m.size(); i++) { constants[i] += t * coeffs[i], constants[i] %= m[i]; coeffs[i] *= m[k], coeffs[i] %= m[i]; } } return constants.back(); } void solve() { ll N, M, L, R; cin >> N >> M >> L >> R; mint ans = floor_sum(R - L + 1, N - 1, 1, M - R + N - 2); ll t = ceil(R - N + 3, N - 1); ans -= floor_sum(R - L + 1, N - 1, 1, -R + N - 3 + (N - 1) * t); ans += mint(R - L + 1) * mint(t); cout << ans << '\n'; } int main() { int T = 1; cin >> T; while (T--) solve(); }