/* #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") //*/ #include // #include // #include using namespace std; // using namespace atcoder; // #define _GLIBCXX_DEBUG #define DEBUG(x) cerr << #x << ": " << x << endl; #define DEBUG_VEC(v) \ cerr << #v << ":"; \ for (int iiiiiiii = 0; iiiiiiii < v.size(); iiiiiiii++) \ cerr << " " << v[iiiiiiii]; \ cerr << endl; #define DEBUG_MAT(v) \ cerr << #v << endl; \ for (int iv = 0; iv < v.size(); iv++) { \ for (int jv = 0; jv < v[iv].size(); jv++) { \ cerr << v[iv][jv] << " "; \ } \ cerr << endl; \ } typedef long long ll; // #define int ll #define vi vector #define vl vector #define vii vector> #define vll vector> #define vs vector #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream &operator<<(ostream &os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define X first #define Y second #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep1(i, n) for (int i = 1; i <= (int)(n); i++) #define rrep(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define rrep1(i, n) for (int i = (int)(n); i > 0; i--) #define REP(i, a, b) for (int i = a; i < b; i++) #define in(x, a, b) (a <= x && x < b) #define all(c) c.begin(), c.end() void YES(bool t = true) { cout << (t ? "YES" : "NO") << endl; } void Yes(bool t = true) { cout << (t ? "Yes" : "No") << endl; } void yes(bool t = true) { cout << (t ? "yes" : "no") << endl; } void NO(bool t = true) { cout << (t ? "NO" : "YES") << endl; } void No(bool t = true) { cout << (t ? "No" : "Yes") << endl; } void no(bool t = true) { cout << (t ? "no" : "yes") << endl; } template bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return 1; } return 0; } #define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end()); const ll inf = 1000000001; const ll INF = (ll)1e18 + 1; const long double pi = 3.1415926535897932384626433832795028841971L; int popcount(ll t) { return __builtin_popcountll(t); } // int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; // int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 }; vi dx = {0, 0, -1, 1}, dy = {-1, 1, 0, 0}; vi dx2 = {1, 1, 0, -1, -1, -1, 0, 1}, dy2 = {0, 1, 1, 1, 0, -1, -1, -1}; struct Setup_io { Setup_io() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); cout << fixed << setprecision(25); } } setup_io; // const ll MOD = 1000000007; const ll MOD = 998244353; // #define mp make_pair //#define endl '\n' const int MAXN = 555555; vl fact(MAXN); vl rfact(MAXN); ll mod_pow(ll x, ll p, ll M = MOD) { if (p < 0) { x = mod_pow(x, M - 2, M); p = -p; } x %= M; ll a = 1; while (p) { if (p % 2) a = a * x % M; x = x * x % M; p /= 2; } return a; } ll mod_inverse(ll a, ll M = MOD) { return mod_pow(a, M - 2, M); } void set_fact(ll n, ll M = MOD) { fact[0] = 1; for (ll i = 1; i <= n; i++) { fact[i] = i * fact[i - 1] % M; } rfact[n] = mod_inverse(fact[n], M); for (ll i = n - 1; i >= 0; i--) { rfact[i] = (i + 1) * rfact[i + 1] % M; } } //http://drken1215.hatenablog.com/entry/2018/06/08/210000 //n���傫��fact���v�Z�ł��Ȃ��Ƃ��̂ق��̌v�Z���@�ɂ‚��ď����Ă��� ll nCr(ll n, ll r, ll M = MOD) { if (r > n) return 0; assert(fact[2] == 2); ll ret = fact[n]; if (rfact[r] == 0) { rfact[r] = mod_inverse(fact[r], M); } ret = (ret * rfact[r]) % M; if (rfact[n - r] == 0) { rfact[n - r] = mod_inverse(fact[n - r], M); } ret = (ret * rfact[n - r]) % M; return ret; } ll nHr(ll n, ll r) { return nCr(n + r - 1, r); } ll gcd(ll a, ll b) { if (b > a) { swap(a, b); } if (b == 0) return a; ll r = a % b; while (r != 0) { a = b; b = r; r = a % b; } return b; } ll lcm(ll a, ll b) { return (a / gcd(a, b)) * b; } int dfs(int now, vii &G, vi &used) { used[now] = true; if (used[G[now][0]]) { return 1; } else { return dfs(G[now][0], G, used) + 1; } } signed main() { int n, p, q; cin >> n >> p >> q; if (p == 1 && q == 1) { cout << 1 << endl; return 0; } else if (p == 1 or q == 1) { cout << 2 << endl; return 0; } vii to(2, vi(n)); rep(i, 2) { rep(j, n) { if (i == 0) { if (j < p) { to[i][j] = p - 1 - j; } else { to[i][j] = j; } } else { if (j < n - q) { to[i][j] = j; } else { int re = n - 1 - j; re = q - 1 - re; to[i][j] = n - 1 - re; } } } } int V = 2 * n; vii G(V); rep(i, 2) { rep(j, n) { int u = i * n + j; int v = (1 - i) * n + to[i][j]; G[u].push_back(v); } } vi used(V); vi g; rep(i, V) { if (used[i]) { continue; } g.push_back(dfs(i, G, used)); } sort(all(g)); UNIQUE(g); map mp; for (int x : g) { for (int p = 2; p <= x; p++) { int cnt = 0; while (x % p == 0) { x /= p; cnt++; } if (cnt > 0) { chmax(mp[p], cnt); } } } ll ans = 1; for (auto [p, c] : mp) { (ans *= mod_pow(p, c)) %= MOD; } cout << ans % MOD << endl; }