#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>> 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; } } struct Query{ ll left; ll right; ll sign; }; struct S{ ll min_val; ll min_cnt; }; S op(S a, S b){ S new_s; new_s.min_val = min(a.min_val, b.min_val); new_s.min_cnt = 0; if (a.min_val == new_s.min_val){ new_s.min_cnt += a.min_cnt; } if (b.min_val == new_s.min_val){ new_s.min_cnt += b.min_cnt; } return new_s; } ll INF = 1000000000000023LL; S e(){ return S{INF, 0}; } S mapping(ll f, S x){ x.min_val += f; return x; } ll composition(ll f, ll g){ return f + g; } ll id(){ return 0LL; } int main() { ll N, M; cin >> N >> M; vector A(N); rep(i, N){ cin >> A[i]; } // 極大区間の個数 vector rle; rle.push_back(make_pair(A[0], 1)); for (ll i = 1; i < N; i++){ if (rle.back().first == A[i]){ rle[rle.size() - 1].second++; } else{ rle.push_back(make_pair(A[i], 1)); } } ll K = 0; rep(i, rle.size()){ if (rle[i].first == 1) K++; } mint inv_2 = mint(1) / mint(2); vector> dp(M + 1, vector((N + 1) / 2 + 1, 0)); dp[0][K] = mint(1); for (ll i = 0; i < M; i++){ for (ll j = 0; j <= (N + 1) / 2; j++){ ll cnt1 = 2 * j; ll cnt2 = (N + 1) - cnt1; if (j > 0){ dp[i + 1][j - 1] += dp[i][j] * mint(cnt1) * mint(cnt1 - 1) * inv_2; } dp[i + 1][j] += dp[i][j] * mint(cnt1) * mint(cnt2); if (j < (N + 1) / 2){ dp[i + 1][j + 1] += dp[i][j] * mint(cnt2) * mint(cnt2 - 1) * inv_2; } } } cout << dp[M][0].val() << endl; }