#include #include #include template struct Edge { int from, to; T cost; int idx; Edge() = default; Edge(int from, int to, T cost = 1, int idx = 0) : from(from), to(to), cost(cost), idx(idx) {} }; template struct Graph { std::vector>> es; int edge_num; Graph(int n) : edge_num(0) { es.resize(n); } int size() { return es.size(); } void add_edge(int from, int to, T cost, int idx) { es[from].emplace_back(from, to, cost, idx); ++edge_num; } std::vector> edges() { std::vector> res(edge_num); for (int v = 0; v < (int)es.size(); ++v) { for (auto& e : es[v]) { res[e.idx] = e; } } return res; } std::vector>& operator[](int i) { return es[i]; } }; #include #include #include template bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return true; } return false; } template T div_floor(T a, T b) { if (b < 0) a *= -1, b *= -1; return a >= 0 ? a / b : (a + 1) / b - 1; } template T div_ceil(T a, T b) { if (b < 0) a *= -1, b *= -1; return a > 0 ? (a - 1) / b + 1 : a / b; } template struct CoordComp { std::vector v; bool sorted; CoordComp() : sorted(false) {} int size() { return v.size(); } void add(T x) { v.push_back(x); } void build() { std::sort(v.begin(), v.end()); v.erase(std::unique(v.begin(), v.end()), v.end()); sorted = true; } int get_idx(T x) { assert(sorted); return lower_bound(v.begin(), v.end(), x) - v.begin(); } T &operator[](int i) { return v[i]; } }; struct HeavyLightDecomposition { public: std::vector idx, par, head, out; HeavyLightDecomposition(Graph<> gr, int root = 0) { idx.resize(gr.size()); par.resize(gr.size()); head.resize(gr.size()); out.resize(gr.size()); sz_dfs(gr, root, -1); int cur = 0; idx[root] = cur++; head[root] = root; hld_dfs(gr, root, -1, root, cur); } int lca(int u, int v) { while (true) { if (idx[u] > idx[v]) std::swap(u, v); if (head[u] == head[v]) return u; v = par[head[v]]; } } std::pair>, std::vector>> get_path(int u, int v) { std::vector> up, down; while (true) { if (head[u] == head[v]) { if (idx[u] < idx[v]) down.emplace_back(idx[u], idx[v] + 1); else up.emplace_back(idx[v], idx[u] + 1); std::reverse(up.begin(), up.end()); std::reverse(down.begin(), down.end()); return {up, down}; } else { if (idx[u] < idx[v]) { down.emplace_back(idx[head[v]], idx[v] + 1); v = par[head[v]]; } else { up.emplace_back(idx[head[u]], idx[u] + 1); u = par[head[u]]; } } } } private: int sz_dfs(Graph<> &gr, int v, int pv) { int ret = 1, max_sz = 0; for (int i = 0; i < (int)gr[v].size(); ++i) { if (gr[v][i].to == pv) continue; int tmp = sz_dfs(gr, gr[v][i].to, v); ret += tmp; if (chmax(max_sz, tmp)) std::swap(gr[v][0], gr[v][i]); } return ret; } void hld_dfs(Graph<> &gr, int v, int pv, int h, int &cur) { for (auto &e : gr[v]) { if (e.to == pv) continue; idx[e.to] = cur++; // バグっている気がする par[e.to] = v; head[e.to] = (gr[v][0].to == e.to ? h : e.to); hld_dfs(gr, e.to, v, head[e.to], cur); } out[v] = cur; } }; #define For(i, a, b) for (int i = (int)(a); (i) < (int)(b); ++(i)) #define rFor(i, a, b) for (int i = (int)(a)-1; (i) >= (int)(b); --(i)) #define rep(i, n) For(i, 0, n) #define rrep(i, n) rFor(i, n, 0) #define fi first #define se second using namespace std; using lint = long long; using pii = pair; using pll = pair; using mint = atcoder::modint998244353; int main() { int n, m; scanf("%d%d", &n, &m); constexpr int OFFSET = 50; vector> dp(OFFSET * 2, vector(m + 1, 0)); dp[OFFSET][0] = 1; rep(i, n) { vector> nxt(OFFSET * 2, vector(m + 1, 0)); rep(j, OFFSET * 2) rep(k, m + 1) if (dp[j][k] != 0) { if (k + abs(j - OFFSET) <= m) { nxt[j][k + abs(j - OFFSET)] += dp[j][k] * 2; } if (j + 1 < OFFSET * 2 && k + abs(j + 1 - OFFSET) <= m) { nxt[j + 1][k + abs(j + 1 - OFFSET)] += dp[j][k]; } if (j - 1 >= 0 && k + abs(j - 1 - OFFSET) <= m) { nxt[j - 1][k + abs(j - 1 - OFFSET)] += dp[j][k]; } } swap(dp, nxt); } mint ans = dp[OFFSET][m]; printf("%u\n", ans.val()); }