結果
問題 | No.2089 置換の符号 |
ユーザー |
👑 ![]() |
提出日時 | 2022-09-30 21:31:35 |
言語 | C++17(gcc12) (gcc 12.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 3 ms / 2,000 ms |
コード長 | 7,372 bytes |
コンパイル時間 | 3,187 ms |
コンパイル使用メモリ | 125,676 KB |
最終ジャッジ日時 | 2025-02-07 19:06:00 |
ジャッジサーバーID (参考情報) |
judge4 / judge1 |
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ファイルパターン | 結果 |
---|---|
other | AC * 33 |
ソースコード
#line 1 "Main.cpp"#include <iostream>#include <string>#include <vector>#include <algorithm>#include <utility>#include <atcoder/modint>#line 4 "nachia\\graph\\graph.hpp"#include <cassert>#line 5 "nachia\\array\\csr-array.hpp"namespace nachia{template<class Elem>class CsrArray{public:struct ListRange{using iterator = typename std::vector<Elem>::iterator;iterator begi, endi;iterator begin() const { return begi; }iterator end() const { return endi; }int size() const { return (int)std::distance(begi, endi); }Elem& operator[](int i) const { return begi[i]; }};struct ConstListRange{using iterator = typename std::vector<Elem>::const_iterator;iterator begi, endi;iterator begin() const { return begi; }iterator end() const { return endi; }int size() const { return (int)std::distance(begi, endi); }const Elem& operator[](int i) const { return begi[i]; }};private:int m_n;std::vector<Elem> m_list;std::vector<int> m_pos;public:CsrArray() : m_n(0), m_list(), m_pos() {}static CsrArray Construct(int n, const std::vector<std::pair<int, Elem>>& items){CsrArray res;res.m_n = n;std::vector<int> buf(n+1, 0);for(auto& [u,v] : items){ ++buf[u]; }for(int i=1; i<=n; i++) buf[i] += buf[i-1];res.m_list.resize(buf[n]);for(int i=(int)items.size()-1; i>=0; i--){res.m_list[--buf[items[i].first]] = items[i].second;}res.m_pos = std::move(buf);return res;}static CsrArray FromRaw(std::vector<Elem> list, std::vector<int> pos){CsrArray res;res.m_n = pos.size() - 1;res.m_list = std::move(list);res.m_pos = std::move(pos);return res;}ListRange operator[](int u) { return ListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }ConstListRange operator[](int u) const { return ConstListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }int size() const { return m_n; }int fullSize() const { return (int)m_list.size(); }};} // namespace nachia#line 6 "nachia\\graph\\graph.hpp"namespace nachia{struct Graph {public:struct Edge{int from, to;void reverse(){ std::swap(from, to); }};using Base = std::vector<std::pair<int, int>>;Graph(int n = 0, bool undirected = false) : m_n(n), m_e(), m_isUndir(undirected) {}Graph(int n, const std::vector<std::pair<int, int>>& edges, bool undirected = false) : m_n(n), m_isUndir(undirected){m_e.resize(edges.size());for(std::size_t i=0; i<edges.size(); i++) m_e[i] = { edges[i].first, edges[i].second };}Graph(int n, const std::vector<Edge>& edges, bool undirected = false) : m_n(n), m_e(edges), m_isUndir(undirected) {}Graph(int n, std::vector<Edge>&& edges, bool undirected = false) : m_n(n), m_e(edges), m_isUndir(undirected) {}int numVertices() const noexcept { return m_n; }int numEdges() const noexcept { return int(m_e.size()); }int addEdge(int from, int to){ m_e.push_back({ from, to }); return numEdges() - 1; }Edge& operator[](int ei) noexcept { return m_e[ei]; }const Edge& operator[](int ei) const noexcept { return m_e[ei]; }Edge& at(int ei) { return m_e.at(ei); }const Edge& at(int ei) const { return m_e.at(ei); }auto begin(){ return m_e.begin(); }auto end(){ return m_e.end(); }auto begin() const { return m_e.begin(); }auto end() const { return m_e.end(); }bool isUndirected() const noexcept { return m_isUndir; }void reverseEdges() noexcept { for(auto& e : m_e) e.reverse(); }void contract(int newV, const std::vector<int>& mapping){assert(numVertices() == int(mapping.size()));for(int i=0; i<numVertices(); i++) assert(0 <= mapping[i] && mapping[i] < newV);for(auto& e : m_e){ e.from = mapping[e.from]; e.to = mapping[e.to]; }}std::vector<Graph> induce(int num, const std::vector<int>& mapping) const {int n = numVertices();assert(n == int(mapping.size()));for(int i=0; i<n; i++) assert(-1 <= mapping[i] && mapping[i] < num);std::vector<int> indexV(n), newV(num);for(int i=0; i<n; i++) if(mapping[i] >= 0) indexV[i] = ++newV[mapping[i]];std::vector<Graph> res; res.reserve(num);for(int i=0; i<num; i++) res.emplace_back(newV[i], isUndirected());for(auto e : m_e) if(mapping[e.from] == mapping[e.to] && mapping[e.to] >= 0) res[mapping[e.to]].addEdge(indexV[e.from], indexV[e.to]);return res;}CsrArray<int> getEdgeIndexArray(bool undirected) const {std::vector<std::pair<int, int>> src;src.reserve(numEdges() * (undirected ? 2 : 1));for(int i=0; i<numEdges(); i++){auto e = operator[](i);src.emplace_back(e.from, i);if(undirected) src.emplace_back(e.to, i);}return CsrArray<int>::Construct(numVertices(), src);}CsrArray<int> getEdgeIndexArray() const { return getEdgeIndexArray(isUndirected()); }CsrArray<int> getAdjacencyArray(bool undirected) const {std::vector<std::pair<int, int>> src;src.reserve(numEdges() * (undirected ? 2 : 1));for(auto e : m_e){src.emplace_back(e.from, e.to);if(undirected) src.emplace_back(e.to, e.from);}return CsrArray<int>::Construct(numVertices(), src);}CsrArray<int> getAdjacencyArray() const { return getAdjacencyArray(isUndirected()); }private:int m_n;std::vector<Edge> m_e;bool m_isUndir;};} // namespace nachia#line 5 "nachia\\graph\\connected-components.hpp"namespace nachia{struct ConnectedComponents{ConnectedComponents(const CsrArray<int>& adj){int n = adj.size();std::vector<int> res(n, -1), O(n);int Ci = 0, p1 = 0, p0 = 0;for(int i=0; i<n; i++) if(res[i] < 0){res[i] = Ci++; O[p1++] = i;for( ; p0<p1; p0++){int v = O[p0];for(int w : adj[v]) if(res[w] < 0){res[w] = res[v];O[p1++] = w;}}}m_color = std::move(res);m_numC = Ci;}ConnectedComponents(const Graph& G = Graph(0, true)) : ConnectedComponents(G.getAdjacencyArray()) {}int numComponents() const noexcept { return m_numC; }const std::vector<int>& getMapping() const { return m_color; }private:int m_numC;std::vector<int> m_color;};} // namespace nachia#line 9 "Main.cpp"using namespace std;using i32 = int32_t;using u32 = uint32_t;using i64 = int64_t;using u64 = uint64_t;#define rep(i,n) for(int i=0; i<(int)(n); i++)using Modint = atcoder::static_modint<998244353>;const i64 INF = 1001001001001001001;int main(){int N; cin >> N;nachia::Graph G(N, true);rep(i,N){ int a; cin >> a; G.addEdge(i, a-1); }nachia::ConnectedComponents CC(G);int ans = 1 & (N ^ CC.numComponents());ans = 1 - ans * 2;cout << ans << '\n';return 0;}struct ios_do_not_sync{ios_do_not_sync(){std::ios::sync_with_stdio(false);std::cin.tie(nullptr);}} ios_do_not_sync_instance;