#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } ll my_pow(ll x, ll n, ll mod) { //  繰り返し二乗法.x^nをmodで割った余り. ll ret; if (n == 0) { ret = 1; } else if (n % 2 == 1) { ret = (x * my_pow((x * x) % mod, n / 2, mod)) % mod; } else { ret = my_pow((x * x) % mod, n / 2, mod); } return ret; } ll inv(ll x, ll mod) { return my_pow(x, mod - 2, mod); } int main() { ll T; cin >> T; while (T--) { ll N, M, L, R; cin >> N >> M >> L >> R; ll ans = (R - L + 1) % mod2; // 非負のときの 0 以上 R 以下の個数 ll div_r = R / (N - 1); ll rem_r = R % (N - 1); // debug_out(div_r, rem_r); ans = (ans + (((rem_r + 1) % mod2) * (div_r % mod2)) % mod2) % mod2; if (div_r >= 1) { ll times = ((div_r % mod2) * ((div_r - 1) % mod2)) % mod2; times = (times * inv(2LL, mod2)) % mod2; times = (times * (N - 1)) % mod2; ans = (ans + times) % mod2; } if (L >= 1) { ll div_l = (L - 1) / (N - 1); ll rem_l = (L - 1) % (N - 1); ans = (ans + mod2 - (((rem_l + 1) % mod2) * (div_l % mod2)) % mod2) % mod2; if (div_l >= 1) { ll times = ((div_l % mod2) * ((div_l - 1) % mod2)) % mod2; times = (times * inv(2LL, mod2)) % mod2; ans = (ans + mod2 - times) % mod2; } } // cout << ans << endl; ll tmp = L; L = M - R; R = M - tmp; // debug_out(L, R); // 負のときも同じことを繰り返す div_r = R / (N - 1); rem_r = R % (N - 1); // debug_out(div_r, rem_r); ans = (ans + (((rem_r + 1) % mod2) * (div_r % mod2)) % mod2) % mod2; if (div_r >= 1) { ll times = ((div_r % mod2) * ((div_r - 1) % mod2)) % mod2; times = (times * inv(2LL, mod2)) % mod2; times = (times * (N - 1)) % mod2; ans = (ans + times) % mod2; } // cout << ans << endl; if (L >= 1) { ll div_l = (L - 1) / (N - 1); ll rem_l = (L - 1) % (N - 1); ans = (ans + mod2 - (((rem_l + 1) % mod2) * (div_l % mod2)) % mod2) % mod2; if (div_l >= 1) { ll times = ((div_l % mod2) * ((div_l - 1) % mod2)) % mod2; times = (times * inv(2LL, mod2)) % mod2; ans = (ans + mod2 - times) % mod2; } } cout << ans << endl; } }