#include using namespace std; using ull = unsigned long long; using ll = long long; #define endl "\n" #define REP(i, n) for (ll i = 0; i < n; i++) #define REPR(i, n) for (ll i = n; i >= 0; i--) #define FOR(i, m, n) for (ll i = m; i < n; i++) #define pb push_back #define fill(x, y) memset(x, y, sizeof(x)) #define even(x) (x) % 2 == 0 #define odd(x) (x) % 2 != 0 #define all(x) x.begin(), x.end() #define pcnt __builtin_popcount #define buli(x) __builtin_popcountll(x) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()); #define IN1(type, x) type x; cin >> x; #define inll(x) ll x; cin >> x; #define indo(x) double x; cin >> x; // these functions return the position of result of Binary Search. #define LB(s, t, x) (int) (lower_bound(s, t, x) - s) #define UB(s, t, x) (int) (upper_bound(s, t, x) - s) ll qp(ll a, ll b, int mo) { ll ans = 1; do { if (b & 1) ans = 1ll * ans * a % mo; a = 1ll * a * a % mo; } while (b >>= 1); return ans; } ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } ll lcm(ll a, ll b) { ll temp = gcd(a, b); return temp ? (a / temp * b) : 0; } int mDays[] = { 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 }; int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; int dx8[] = { 1, -1, 0, 0, 1, 1, -1, -1 }, dy8[] = { 0, 0, -1, 1, -1, 1, -1, 1 }; template vector make_v(size_t a) { return vector(a); } template auto make_v(size_t a, size_t b, Ts... ts) { return vector(b, ts...))>(a, make_v(b, ts...)); } template typename enable_if::value == 0>::type fill_v(T &t, const V &v) { t = v; } template typename enable_if::value != 0>::type fill_v(T &t, const V &v) { for (auto &e : t) fill_v(e, v); } // auto dp = make_v(4, h, w); // fill_v(dp, 0); const ll MOD_CONST = (ll)(1e9 + 7); template vector pows(int b, int n) { vector ret; T x = 1; while (ret.size() < n) { ret.push_back(x); x *= b; } return ret; } // find string "from" in "str", and replace them to "to" void strReplace(std::string& str, const std::string& from, const std::string& to) { std::string::size_type pos = 0; while (pos = str.find(from, pos), pos != std::string::npos) { str.replace(pos, from.length(), to); pos += to.length(); } } 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 (b < a) { a = b; return 1; } return 0; } inline tuple rotate45(tuple point) { ll x = get<0>(point), y = get<1>(point); return tuple(x + y, x - y); } inline bool rangeCheck2D(int nx, int ny, int Width, int Height) { return nx >= 0 and nx < Width and ny >= 0 and ny < Height; } template vector INPA(ll n) { vector x; REP(i, n) { T tmp; cin >> tmp; x.push_back(tmp); } return move(x); } template void out(T o) { cout << o << endl; } template void out(vector &out) { REP(i, (int)out.size()) { cout << out[i]; if (i == (int)out.size() - 1) cout << endl; else cout << " "; } } template void out(vector> o) { REP(i, o.size()) out(o[i]); } void YesNo(bool f) { cout << (f?"Yes":"No") << endl; } void YESNO(bool f) { cout << (f?"YES":"NO") << endl; } // use " for (const auto& e : V) string longestCommonPrefix(vector& strs) { int n = INT_MAX; if (strs.size() <= 0) { return ""; } if (strs.size() == 1) { return strs[0]; } // get the min length for (int i = 0; i < strs.size(); i ++) { n = strs[i].length() < n ? strs[i].length() : n ; } for (int i = 0; i < n; i ++) { // check each character for (int j = 1; j < strs.size(); j ++) { if (strs[j][i] != strs[j - 1][i]) { // we find a mis-match return strs[0].substr(0, i); } } } // prefix is n-length return strs[0].substr(0, n); } ll p_base(ll base, ll x) { ll ans = 1; REP(i, x) { ans *= base; ans %= MOD_CONST; } return ans; } class ListG { public: // there's directed edge between A and B // if to[A] has element B vector> to; map, ll> cost; void setCost(int u, int v, ll c) { cost[{min(u, v), max(u, v)}] = c; } ll getCost(int u, int v) { return cost[{min(u, v), max(u, v)}]; } ListG(int s) : root(-1) { size = s; to = make_v>(size); } void setDirectedEdge(int f, int t) { to[f].push_back(t); } void setIndirectedEdge(int v1, int v2) { setDirectedEdge(v1, v2); setDirectedEdge(v2, v1); } void dfs(int x) { // do something } void makeTree(int r) { root = r; p = make_v(size); p[root] = -1; depth = make_v(size); mtdfs(root, 0); // count leaf node auto idxs = make_v(size); iota(all(idxs), 0); leaf_idx = set(all(idxs)); REP(i, size) { if (i == root) continue; leaf_idx.erase(p[i]); } } void makeEulerTour() { assert(root >= 0); et_begin = make_v(size); et_end = make_v(size); tmp_k = 0; etdfs(root, -1); } int size, root; vector p; // parent for each node. parent of root = -1 vector depth; // for each node. depth of root node = 0 vector euler_tour; vector et_begin, et_end; set leaf_idx; int tmp_k; private: void mtdfs(int c, int d) { depth[c] = d; REP(i, to[c].size()) { int next = to[c][i]; if (p[c] == next) continue; p[next] = c; mtdfs(next, d + 1); } } void etdfs(int vidx, int pidx) { et_begin[vidx] = tmp_k; euler_tour.push_back(vidx); tmp_k++; REP(i, to[vidx].size()) { if (to[vidx][i] != pidx) { etdfs(to[vidx][i], vidx); euler_tour.push_back(vidx); tmp_k++; } } et_end[vidx] = tmp_k; } }; template class BinaryIndexedTree { public: int size; vector data; BinaryIndexedTree(int s, T initial_value = T(0)) { size = s; data = make_v(size+1); fill_v(data, initial_value); } void add(int idx, T value) { while (idx <= size) { data[idx] += value; idx += idx & -idx; } } T sum(int idx) { T s = 0; while (idx > 0) { s += data[idx]; idx -= idx & -idx; } return s; } }; // lambda auto f = [](int arg1, double arg2) { return ret; }; int main(void) { cin.tie(0); ios::sync_with_stdio(0); cout << fixed << setprecision(20); inll(T); inll(N); auto c = INPA(N); auto v = INPA(N); auto dp = make_v(T); auto cv = make_v(T, N); REP(i, N) cv[0][i] = v[i]; REP(t, T) { REP(i, N) { if (t + c[i] >= T) continue; if (chmax(dp[t + c[i]], dp[t] + cv[t][i])) { REP(j, N) { cv[t + c[i]][j] = cv[t][j]; } cv[t + c[i]][i] /= 2; } } } out(dp[T-1]); return 0; }