#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...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } // 行列累乗ライブラリ // m_mul と p_mul を同時にインポートする vector> m_mul(vector> &a, vector> &b) { ll n = a.size(); vector> ret(n, vector(n, 0)); for (ll i = 0; i < n; i++) { for (ll j = 0; j < n; j++) { for (ll k = 0; k < n; k++) { ret[i][j] = (ret[i][j] + a[i][k] * b[k][j]); } } } return ret; } vector> p_mul(vector> a, ll k) { ll n = a.size(); vector> ret(n, vector(n, 0)); for (ll i = 0; i < n; i++) { ret[i][i] = mint(1); } while (k > 0) { if (k % 2 == 1) { ret = m_mul(a, ret); } a = m_mul(a, a); k /= 2; } return ret; } int main() { ll K, L, R; cin >> K >> L >> R; vector> M(K + 4, vector(K + 4, mint(0))); M[0][0] = mint(1); M[0][1] = mint(K); M[0][2] = mint(1); M[0][3] = mint(1); M[1][1] = mint(K); M[1][2] = mint(1); M[1][3] = mint(1); M[2][2] = mint(K); vector> comb(K + 1, vector(K + 1)); for (ll i = 0; i <= K; i++) { comb[i][0] = mint(1); comb[i][i] = mint(1); } for (ll i = 2; i <= K; i++) { for (ll j = 1; j < i; j++) { comb[i][j] = comb[i - 1][j - 1] + comb[i - 1][j]; } } for (ll i = 3; i < K + 4; i++) { for (ll j = i; j < K + 4; j++) { ll n = K + 3 - i; ll r = K + 3 - j; M[i][j] = comb[n][r]; } } // debug_mint2(M); mint ans = 0; vector> pow_m = p_mul(M, R); ans += (pow_m[0][0] + pow_m[0][1] + pow_m[0][2] + pow_m[0][K + 3]); if (L > 0) { vector> pow_m2 = p_mul(M, L - 1); ans -= (pow_m2[0][0] + pow_m2[0][1] + pow_m2[0][2] + pow_m2[0][K + 3]); } cout << ans.val() << endl; }