#line 1 "a.cpp" #define PROBLEM "https://yukicoder.me/problems/no/1211" #line 2 "/home/kuhaku/atcoder/github/algo/lib/template/template.hpp" #pragma GCC target("sse4.2,avx2,bmi2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include template bool chmax(T &a, const U &b) { return a < (T)b ? a = (T)b, true : false; } template bool chmin(T &a, const U &b) { return (T)b < a ? a = (T)b, true : false; } constexpr std::int64_t INF = 1000000000000000003; constexpr int Inf = 1000000003; constexpr int MOD = 1000000007; constexpr int MOD_N = 998244353; constexpr double EPS = 1e-7; constexpr double PI = M_PI; #line 3 "/home/kuhaku/atcoder/github/algo/lib/graph/graph.hpp" /** * @brief 重み付きグラフ * * @tparam T 辺の重みの型 */ template struct Graph { private: struct _edge { constexpr _edge() : _from(), _to(), _weight() {} constexpr _edge(int from, int to, T weight) : _from(from), _to(to), _weight(weight) {} constexpr bool operator<(const _edge &rhs) const { return this->weight() < rhs.weight(); } constexpr bool operator>(const _edge &rhs) const { return rhs < *this; } constexpr int from() const { return this->_from; } constexpr int to() const { return this->_to; } constexpr T weight() const { return this->_weight; } private: int _from, _to; T _weight; }; public: using edge_type = typename Graph::_edge; Graph() : _size(), edges() {} Graph(int v) : _size(v), edges(v) {} const auto &operator[](int i) const { return this->edges[i]; } auto &operator[](int i) { return this->edges[i]; } const auto begin() const { return this->edges.begin(); } auto begin() { return this->edges.begin(); } const auto end() const { return this->edges.end(); } auto end() { return this->edges.end(); } constexpr int size() const { return this->_size; } void add_edge(const edge_type &e) { this->edges[e.from()].emplace_back(e); } void add_edge(int from, int to, T weight = T(1)) { this->edges[from].emplace_back(from, to, weight); } void add_edges(int from, int to, T weight = T(1)) { this->edges[from].emplace_back(from, to, weight); this->edges[to].emplace_back(to, from, weight); } void input_edge(int m, int base = 1) { for (int i = 0; i < m; ++i) { int from, to; T weight; std::cin >> from >> to >> weight; this->add_edge(from - base, to - base, weight); } } void input_edges(int m, int base = 1) { for (int i = 0; i < m; ++i) { int from, to; T weight; std::cin >> from >> to >> weight; this->add_edges(from - base, to - base, weight); } } private: int _size; std::vector> edges; }; template <> struct Graph { private: struct _edge { constexpr _edge() : _from(), _to() {} constexpr _edge(int from, int to) : _from(from), _to(to) {} constexpr int from() const { return this->_from; } constexpr int to() const { return this->_to; } constexpr int weight() const { return 1; } constexpr bool operator<(const _edge &rhs) const { return this->weight() < rhs.weight(); } constexpr bool operator>(const _edge &rhs) const { return rhs < *this; } private: int _from, _to; }; public: using edge_type = typename Graph::_edge; Graph() : _size(), edges() {} Graph(int v) : _size(v), edges(v) {} const auto &operator[](int i) const { return this->edges[i]; } auto &operator[](int i) { return this->edges[i]; } const auto begin() const { return this->edges.begin(); } auto begin() { return this->edges.begin(); } const auto end() const { return this->edges.end(); } auto end() { return this->edges.end(); } constexpr int size() const { return this->_size; } void add_edge(const edge_type &e) { this->edges[e.from()].emplace_back(e); } void add_edge(int from, int to) { this->edges[from].emplace_back(from, to); } void add_edges(int from, int to) { this->edges[from].emplace_back(from, to); this->edges[to].emplace_back(to, from); } void input_edge(int m, int base = 1) { for (int i = 0; i < m; ++i) { int from, to; std::cin >> from >> to; this->add_edge(from - base, to - base); } } void input_edges(int m, int base = 1) { for (int i = 0; i < m; ++i) { int from, to; std::cin >> from >> to; this->add_edges(from - base, to - base); } } private: int _size; std::vector> edges; }; #line 4 "/home/kuhaku/atcoder/github/algo/lib/tree/hld.hpp" /** * @brief HL分解 * @see https://beet-aizu.github.io/library/tree/heavylightdecomposition.cpp */ struct heavy_light_decomposition { heavy_light_decomposition() = default; template heavy_light_decomposition(const Graph &g, int r = 0) : heavy_light_decomposition(g.size()) { build(g, r); } constexpr int size() const { return _size; } int get(int v) const { return vid[v]; } int get_parent(int v) const { return par[v]; } int get_depth(int v) const { return depth[v]; } int dist(int u, int v) const { int d = 0; while (true) { if (vid[u] > vid[v]) std::swap(u, v); if (nxt[u] == nxt[v]) return d + vid[v] - vid[u]; d += vid[v] - vid[nxt[v]] + 1; v = par[nxt[v]]; } } int jump(int u, int v, int k) const { int d = dist(u, v); if (d < k) return -1; int l = lca(u, v); if (dist(u, l) >= k) return la(u, k); else return la(v, d - k); } int la(int v, int k) const { while (true) { int u = nxt[v]; if (vid[v] - k >= vid[u]) return inv[vid[v] - k]; k -= vid[v] - vid[u] + 1; v = par[u]; } } int lca(int u, int v) const { while (true) { if (vid[u] > vid[v]) std::swap(u, v); if (nxt[u] == nxt[v]) return u; v = par[nxt[v]]; } } template void for_each(int u, int v, const F &f) const { while (true) { if (vid[u] > vid[v]) std::swap(u, v); f(std::max(vid[nxt[v]], vid[u]), vid[v] + 1); if (nxt[u] != nxt[v]) v = par[nxt[v]]; else break; } } template void for_each_edge(int u, int v, const F &f) const { while (true) { if (vid[u] > vid[v]) std::swap(u, v); if (nxt[u] != nxt[v]) { f(vid[nxt[v]], vid[v] + 1); v = par[nxt[v]]; } else { if (u != v) f(vid[u] + 1, vid[v] + 1); break; } } } private: int _size; std::vector vid, nxt, sub, par, depth, inv; heavy_light_decomposition(int n) : _size(n), vid(n, -1), nxt(n), sub(n, 1), par(n, -1), depth(n), inv(n) {} template void build(const Graph &g, int r = 0) { std::vector heavy_path(_size, -1); dfs_sz(g, r, heavy_path); nxt[r] = r; int pos = 0; dfs_hld(g, r, pos, heavy_path); } template void dfs_sz(const Graph &g, int v, std::vector &heavy_path) { int max_sub = 0; for (auto &e : g[v]) { int u = e.to(); if (u == par[v]) continue; par[u] = v; depth[u] = depth[v] + 1; dfs_sz(g, u, heavy_path); sub[v] += sub[u]; if (chmax(max_sub, sub[u])) heavy_path[v] = u; } } template void dfs_hld(const Graph &g, int v, int &pos, const std::vector &heavy_path) { vid[v] = pos++; inv[vid[v]] = v; int hp = heavy_path[v]; if (hp != -1) { nxt[hp] = nxt[v]; dfs_hld(g, hp, pos, heavy_path); } for (auto &e : g[v]) { int u = e.to(); if (u == par[v] || u == heavy_path[v]) continue; nxt[u] = u; dfs_hld(g, u, pos, heavy_path); } } }; #line 2 "/home/kuhaku/atcoder/github/algo/lib/tree/union_find.hpp" /** * @brief 素集合データ構造 * @details Implement (union by size) + (path compression) * @see https://github.com/atcoder/ac-library/blob/master/atcoder/dsu.hpp */ struct union_find { union_find() : data() {} union_find(int _n) : data(_n, -1) {} int root(int x) { return this->data[x] < 0 ? x : this->data[x] = this->root(this->data[x]); } int get_root(int x) { return this->root(x); } bool is_root(int x) const { return this->data[x] < 0; } bool same(int x, int y) { return this->root(x) == this->root(y); } bool is_same(int x, int y) { return this->same(x, y); } int size(int x) { return -(this->data[this->root(x)]); } int get_size(int x) { return this->size(x); } bool unite(int x, int y) { x = this->root(x), y = this->root(y); if (x == y) return false; if (this->data[x] > this->data[y]) std::swap(x, y); this->data[x] += this->data[y]; this->data[y] = x; return true; } template bool unite(int x, int y, F f) { x = this->root(x), y = this->root(y); if (x != y) { if (this->data[x] > this->data[y]) std::swap(x, y); this->data[x] += this->data[y]; this->data[y] = x; } f(x, y); return x != y; } private: std::vector data; }; #line 4 "/home/kuhaku/atcoder/github/algo/lib/graph/functional_graph.hpp" struct functional_graph { functional_graph() = default; functional_graph(const std::vector &_to) : functional_graph(_to.size(), _to) { union_find uf(_size); for (int i = 0; i < _size; ++i) { assert(0 <= to[i] && to[i] < _size); if (!uf.unite(i, to[i])) root[i] = i; } for (int i = 0; i < _size; ++i) { if (root[i] == i) root[uf.root(i)] = root[i]; } for (int i = 0; i < _size; ++i) root[i] = root[uf.root(i)]; for (int i = 0; i < _size; ++i) { if (root[i] == i) g.add_edge(_size, i); else g.add_edge(to[i], i); } hld = heavy_light_decomposition(g, _size); } constexpr int size() const { return _size; } int jump(int v, std::uint64_t step) const { int d = hld.get_depth(v); if (step <= (std::uint64_t)d - 1) return hld.jump(v, _size, step); v = root[v]; step -= d - 1; int bottom = to[v]; int c = hld.get_depth(bottom); step %= c; if (step == 0) return v; return hld.jump(bottom, _size, step - 1); } std::vector jump_all(std::uint64_t step) const { std::vector res(_size, -1); std::vector>> query(_size); for (int v = 0; v < _size; ++v) { int d = hld.get_depth(v); int r = root[v]; if ((std::uint64_t)d - 1 > step) { query[v].emplace_back(v, step); } else { std::int64_t k = step - (d - 1); int bottom = to[r]; int c = hld.get_depth(bottom); k %= c; if (k == 0) { res[v] = r; continue; } query[bottom].emplace_back(v, k - 1); } } std::vector path; auto dfs = [&](auto self, int v) -> void { path.emplace_back(v); for (auto &&[w, k] : query[v]) res[w] = path[path.size() - 1 - k]; for (auto &&e : g[v]) self(self, e.to()); path.pop_back(); }; for (auto e : g[_size]) dfs(dfs, e.to()); return res; } std::vector> get_cycles() const { std::vector> res; for (int v = 0; v < _size; ++v) { if (v == root[v]) res.emplace_back(get_cycle(v)); } return res; } private: int _size; const std::vector &to; std::vector root; Graph g; heavy_light_decomposition hld; functional_graph(int n, const std::vector &_to) : _size(n), to(_to), root(n, -1), g(n + 1), hld() {} std::vector get_cycle(int v) const { std::vector res(1, v); int u = to[v]; while (u != v) { res.emplace_back(u); u = to[u]; } return res; } }; #line 3 "/home/kuhaku/atcoder/github/algo/lib/template/macro.hpp" #define FOR(i, m, n) for (int i = (m); i < int(n); ++i) #define FORR(i, m, n) for (int i = (m)-1; i >= int(n); --i) #define FORL(i, m, n) for (int64_t i = (m); i < int64_t(n); ++i) #define rep(i, n) FOR (i, 0, n) #define repn(i, n) FOR (i, 1, n + 1) #define repr(i, n) FORR (i, n, 0) #define repnr(i, n) FORR (i, n + 1, 1) #define all(s) (s).begin(), (s).end() #line 3 "/home/kuhaku/atcoder/github/algo/lib/template/sonic.hpp" struct Sonic { Sonic() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); } constexpr void operator()() const {} } sonic; #line 5 "/home/kuhaku/atcoder/github/algo/lib/template/atcoder.hpp" using namespace std; using ll = std::int64_t; using ld = long double; template std::istream &operator>>(std::istream &is, std::pair &p) { return is >> p.first >> p.second; } template std::istream &operator>>(std::istream &is, std::vector &v) { for (T &i : v) is >> i; return is; } template std::ostream &operator<<(std::ostream &os, const std::pair &p) { return os << '(' << p.first << ',' << p.second << ')'; } template std::ostream &operator<<(std::ostream &os, const std::vector &v) { for (auto it = v.begin(); it != v.end(); ++it) { os << (it == v.begin() ? "" : " ") << *it; } return os; } template void co(Head &&head, Tail &&...tail) { if constexpr (sizeof...(tail) == 0) std::cout << head << '\n'; else std::cout << head << ' ', co(std::forward(tail)...); } template void ce(Head &&head, Tail &&...tail) { if constexpr (sizeof...(tail) == 0) std::cerr << head << '\n'; else std::cerr << head << ' ', ce(std::forward(tail)...); } template auto make_vector(T x, int arg, Args... args) { if constexpr (sizeof...(args) == 0) return std::vector(arg, x); else return std::vector(arg, make_vector(x, args...)); } void setp(int n) { std::cout << std::fixed << std::setprecision(n); } void Yes(bool is_correct = true) { std::cout << (is_correct ? "Yes" : "No") << '\n'; } void No(bool is_not_correct = true) { Yes(!is_not_correct); } void YES(bool is_correct = true) { std::cout << (is_correct ? "YES" : "NO") << '\n'; } void NO(bool is_not_correct = true) { YES(!is_not_correct); } void Takahashi(bool is_correct = true) { std::cout << (is_correct ? "Takahashi" : "Aoki") << '\n'; } void Aoki(bool is_not_correct = true) { Takahashi(!is_not_correct); } #line 4 "a.cpp" int main(void) { int n, k; cin >> n >> k; vector a(n); cin >> a; auto b = a; b.insert(b.begin(), 0); b.insert(b.end(), all(a)); rep (i, n * 2) b[i + 1] += b[i]; ll l = *min_element(all(a)), r = b[n] + 1; vector to(n * 2 + 2, n * 2 + 1); while (r - l > 1) { ll m = (l + r) / 2; int idx = 0; rep (i, n * 2) { while (idx < (int)b.size() && b[idx] - b[i] < m) ++idx; to[i] = idx; } functional_graph fg(to); auto v = fg.jump_all(k); bool f = false; rep (i, n) { if (v[i] - i <= n) { f = true; break; } } (f ? l : r) = m; } co(l); return 0; }