#827522 (C++17) No.1983 [Cherry 4th Tune C] 南の島のマーメイド

提出ソース

結果

問題	No.1983 [Cherry 4th Tune C] 南の島のマーメイド
ユーザー	👑 Nachia
提出日時	2022-12-22 00:33:35
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	65 ms / 4,000 ms
コード長	15,682 bytes
コンパイル時間	930 ms
コンパイル使用メモリ	86,752 KB
実行使用メモリ	16,888 KB
最終ジャッジ日時	2024-11-18 03:11:39
合計ジャッジ時間	4,979 ms
ジャッジサーバーID （参考情報）	judge5 / judge3

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 5,248 KB
testcase_01	AC	1 ms 5,248 KB
testcase_02	AC	1 ms 5,248 KB
testcase_03	AC	1 ms 5,248 KB
testcase_04	AC	2 ms 5,248 KB
testcase_05	AC	2 ms 5,248 KB
testcase_06	AC	2 ms 5,248 KB
testcase_07	AC	1 ms 5,248 KB
testcase_08	AC	2 ms 5,248 KB
testcase_09	AC	3 ms 5,248 KB
testcase_10	AC	4 ms 5,248 KB
testcase_11	AC	4 ms 5,248 KB
testcase_12	AC	3 ms 5,248 KB
testcase_13	AC	31 ms 8,268 KB
testcase_14	AC	36 ms 10,448 KB
testcase_15	AC	46 ms 9,800 KB
testcase_16	AC	21 ms 7,396 KB
testcase_17	AC	38 ms 11,468 KB
testcase_18	AC	41 ms 9,804 KB
testcase_19	AC	53 ms 13,388 KB
testcase_20	AC	42 ms 9,296 KB
testcase_21	AC	41 ms 11,212 KB
testcase_22	AC	48 ms 14,488 KB
testcase_23	AC	64 ms 15,304 KB
testcase_24	AC	65 ms 15,296 KB
testcase_25	AC	63 ms 15,316 KB
testcase_26	AC	63 ms 15,380 KB
testcase_27	AC	64 ms 15,308 KB
testcase_28	AC	63 ms 15,308 KB
testcase_29	AC	62 ms 15,384 KB
testcase_30	AC	64 ms 15,380 KB
testcase_31	AC	63 ms 15,308 KB
testcase_32	AC	64 ms 15,312 KB
testcase_33	AC	1 ms 5,248 KB
testcase_34	AC	20 ms 7,544 KB
testcase_35	AC	36 ms 15,292 KB
testcase_36	AC	35 ms 15,304 KB
testcase_37	AC	2 ms 5,248 KB
testcase_38	AC	9 ms 5,248 KB
testcase_39	AC	46 ms 16,888 KB
testcase_40	AC	50 ms 16,856 KB

権限があれば一括ダウンロードができます

ソースコード

raw source code

#line 2 "nachia\\graph\\graph.hpp"
#include <vector>
#include <utility>
#include <cassert>
#line 4 "nachia\\array\\csr-array.hpp"
#include <algorithm>

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, 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]] = std::move(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 addNode() noexcept { return m_n++; }
    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 3 "nachia\\graph\\dfs-tree.hpp"

namespace nachia{

struct DfsTree{
    std::vector<int> dfsOrd;
    std::vector<int> parent;

    template<bool OutOrd>
    static DfsTree Construct(const CsrArray<int>& adj, int root = 0){
        DfsTree res;
        int n = adj.size();
        res.dfsOrd.resize(n);
        int Oi = 0;
        std::vector<int> eid(n, 0), parent(n, -2);
        for(int s=root; Oi<n; s == n-1 ? s=0 : ++s) if(parent[s] == -2){
            int p = s;
            parent[p] = -1;
            while(0 <= p){
                if(eid[p] == (OutOrd ? (int)adj[p].size() : 0)) res.dfsOrd[Oi++] = p;
                if(eid[p] == (int)adj[p].size()){ p = parent[p]; continue; }
                int nx = adj[p][eid[p]++];
                if(parent[nx] != -2) continue;
                parent[nx] = p;
                p = nx;
            }
            s++; if(s == n) s=0;
        }
        res.parent = std::move(parent);
        return res;
    }
    template<bool OutOrd>
    static DfsTree Construct(const Graph& g, int root = 0){ return Construct<OutOrd>(g.getAdjacencyArray(), root); }
};

} // namespace nachia
#line 7 "nachia\\graph\\two-edge-connected-components.hpp"

namespace nachia{

struct TwoEdgeConnectedComponents{
    Graph mG;
    int m_numComponent;
    std::vector<int> m_color;
    TwoEdgeConnectedComponents(Graph G = Graph(0, true)){
        assert(G.isUndirected());
        int n = G.numVertices(), m = G.numEdges();
        if(n == 0){ mG = G; m_numComponent = 0; return; }
        std::vector<int> P, ord, I(n); {
            auto dfsTree = DfsTree::Construct<false>(G);
            P = std::move(dfsTree.parent);
            ord = std::move(dfsTree.dfsOrd);
            for(int i=0; i<n; i++) I[ord[i]] = i;
        }
        std::vector<int> rev = I, PE(n, -1);
        for(int e=0; e<m; e++){
            int v = G[e].from, w = G[e].to;
            if(I[v] < I[w]) std::swap(v, w);
            if(P[v] == w && PE[v] < 0){ PE[v] = e; }
            else rev[v] = std::min(rev[v], I[w]);
        }
        for(int i=n-1; i>=0; i--){
            int v = ord[i], w = P[v];
            if(w >= 0) rev[w] = std::min(rev[w], rev[v]);
        }
        m_numComponent = 0;
        m_color.resize(n);
        for(int v : ord){
            if(rev[v] == I[v]) m_color[v] = m_numComponent++;
            else m_color[v] = m_color[P[v]];
        }
        mG = std::move(G);
    }
    int numComponents() const noexcept { return m_numComponent; }
    CsrArray<int> getTeccVertices() const {
        int n = mG.numVertices();
        std::vector<std::pair<int, int>> res(n);
        for(int i=0; i<n; i++) res[i] = { m_color[i], i };
        return CsrArray<int>::Construct(numComponents(), res);
    }
    // bridge : -1
    std::vector<int> getEdgeMapping() const {
        std::vector<int> res(mG.numEdges(), -1);
        for(int i=0; i<mG.numEdges(); i++) if(m_color[mG[i].from] == m_color[mG[i].to]) res[i] = m_color[mG[i].from];
        return res;
    }
};

}

#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(true)) {}
    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 2 "nachia\\misc\\fastio.hpp"
#include <cstdio>
#include <cctype>
#include <cstdint>
#include <string>

namespace nachia{

struct CInStream{
private:
	static const unsigned int INPUT_BUF_SIZE = 1 << 17;
	unsigned int p = INPUT_BUF_SIZE;
	static char Q[INPUT_BUF_SIZE];
public:
	using MyType = CInStream;
	char seekChar() noexcept {
		if(p == INPUT_BUF_SIZE){
			size_t len = fread(Q, 1, INPUT_BUF_SIZE, stdin);
			if(len != INPUT_BUF_SIZE) Q[len] = '\0';
			p = 0;
		}
		return Q[p];
	}
	void skipSpace() noexcept { while(isspace(seekChar())) p++; }
	uint32_t nextU32() noexcept {
		skipSpace();
		uint32_t buf = 0;
		while(true){
			char tmp = seekChar();
			if('9' < tmp || tmp < '0') break;
			buf = buf * 10 + (tmp - '0');
			p++;
		}
		return buf;
	}
	int32_t nextI32() noexcept {
		skipSpace();
		if(seekChar() == '-'){ p++; return (int32_t)(-nextU32()); }
		return (int32_t)nextU32();
	}
	uint64_t nextU64() noexcept {
		skipSpace();
		uint64_t buf = 0;
		while(true){
			char tmp = seekChar();
			if('9' < tmp || tmp < '0') break;
			buf = buf * 10 + (tmp - '0');
			p++;
		}
		return buf;
	}
	int64_t nextI64() noexcept {
		skipSpace();
		if(seekChar() == '-'){ p++; return (int64_t)(-nextU64()); }
		return (int64_t)nextU64();
	}
	char nextChar() noexcept { skipSpace(); char buf = seekChar(); p++; return buf; }
	std::string nextToken(){
		skipSpace();
		std::string buf;
		while(true){
			char ch = seekChar();
			if(isspace(ch) || ch == '\0') break;
			buf.push_back(ch);
			p++;
		}
		return buf;
	}
	MyType& operator>>(unsigned int& dest) noexcept { dest = nextU32(); return *this; }
	MyType& operator>>(int& dest) noexcept { dest = nextI32(); return *this; }
	MyType& operator>>(unsigned long& dest) noexcept { dest = nextU64(); return *this; }
	MyType& operator>>(long& dest) noexcept { dest = nextI64(); return *this; }
	MyType& operator>>(unsigned long long& dest) noexcept { dest = nextU64(); return *this; }
	MyType& operator>>(long long& dest) noexcept { dest = nextI64(); return *this; }
	MyType& operator>>(std::string& dest){ dest = nextToken(); return *this; }
	MyType& operator>>(char& dest) noexcept { dest = nextChar(); return *this; }
} cin;

struct FastOutputTable{
	char LZ[1000][4] = {};
	char NLZ[1000][4] = {};
	constexpr FastOutputTable(){
		using u32 = uint_fast32_t;
		for(u32 d=0; d<1000; d++){
			LZ[d][0] = ('0' + d / 100 % 10);
			LZ[d][1] = ('0' + d /  10 % 10);
			LZ[d][2] = ('0' + d /   1 % 10);
			LZ[d][3] = '\0';
		}
		for(u32 d=0; d<1000; d++){
			u32 i = 0;
			if(d >= 100) NLZ[d][i++] = ('0' + d / 100 % 10);
			if(d >=  10) NLZ[d][i++] = ('0' + d /  10 % 10);
			if(d >=   1) NLZ[d][i++] = ('0' + d /   1 % 10);
			NLZ[d][i++] = '\0';
		}
	}
};

struct COutStream{
private:
	using u32 = uint32_t;
	using u64 = uint64_t;
	using MyType = COutStream;
	static const u32 OUTPUT_BUF_SIZE = 1 << 17;
	static char Q[OUTPUT_BUF_SIZE];
	static constexpr FastOutputTable TB = FastOutputTable();
	u32 p = 0;
	static constexpr u32 P10(u32 d){ return d ? P10(d-1)*10 : 1; }
	static constexpr u64 P10L(u32 d){ return d ? P10L(d-1)*10 : 1; }
	template<class T, class U> static void Fil(T& m, U& l, U x) noexcept { m = l/x; l -= m*x; }
	void next_dig9(u32 x){
		u32 y;
		Fil(y, x, P10(6));
		nextCstr(TB.LZ[y]);
		Fil(y, x, P10(3));
		nextCstr(TB.LZ[y]); nextCstr(TB.LZ[x]);
	}
public:
	void nextChar(char c){
		Q[p++] = c;
		if(p == OUTPUT_BUF_SIZE){ fwrite(Q, p, 1, stdout); p = 0; }
	}
	void nextEoln(){ nextChar('\n'); }
	void nextCstr(const char* s){ while(*s) nextChar(*(s++)); }
	void nextU32(uint32_t x){
		u32 y = 0;
		if(x >= P10(9)){
			Fil(y, x, P10(9));
			nextCstr(TB.NLZ[y]); next_dig9(x);
		}
		else if(x >= P10(6)){
			Fil(y, x, P10(6));
			nextCstr(TB.NLZ[y]);
			Fil(y, x, P10(3));
			nextCstr(TB.LZ[y]); nextCstr(TB.LZ[x]);
		}
		else if(x >= P10(3)){
			Fil(y, x, P10(3));
			nextCstr(TB.NLZ[y]); nextCstr(TB.LZ[x]);
		}
		else if(x >= 1) nextCstr(TB.NLZ[x]);
		else nextChar('0');
	}
	void nextI32(int32_t x){
		if(x >= 0) nextU32(x);
		else{ nextChar('-'); nextU32((u32)-x); }
	}
	void nextU64(uint64_t x){
		u32 y = 0;
		if(x >= P10L(18)){
			Fil(y, x, P10L(18));
			nextU32(y);
			Fil(y, x, P10L(9));
			next_dig9(y); next_dig9(x);
		}
		else if(x >= P10L(9)){
			Fil(y, x, P10L(9));
			nextU32(y); next_dig9(x);
		}
		else nextU32(x);
	}
	void nextI64(int64_t x){
		if(x >= 0) nextU64(x);
		else{ nextChar('-'); nextU64((u64)-x); }
	}
	void writeToFile(bool flush = false){
		fwrite(Q, p, 1, stdout);
		if(flush) fflush(stdout);
		p = 0;
	}
	COutStream(){ Q[0] = 0; }
	~COutStream(){ writeToFile(); }
	MyType& operator<<(unsigned int tg){ nextU32(tg); return *this; }
	MyType& operator<<(unsigned long tg){ nextU64(tg); return *this; }
	MyType& operator<<(unsigned long long tg){ nextU64(tg); return *this; }
	MyType& operator<<(int tg){ nextI32(tg); return *this; }
	MyType& operator<<(long tg){ nextI64(tg); return *this; }
	MyType& operator<<(long long tg){ nextI64(tg); return *this; }
	MyType& operator<<(const std::string& tg){ nextCstr(tg.c_str()); return *this; }
	MyType& operator<<(const char* tg){ nextCstr(tg); return *this; }
	MyType& operator<<(char tg){ nextChar(tg); return *this; }
} cout;

char CInStream::Q[INPUT_BUF_SIZE];
char COutStream::Q[OUTPUT_BUF_SIZE];

} // namespace nachia
#line 4 "Main.cpp"

int main(){
    using nachia::cin;
    using nachia::cout;
    int N; cin >> N;
    int M; cin >> M;
    int Q; cin >> Q;
    nachia::Graph graph(N, true);
    for(int i=0; i<M; i++){
        int u; cin >> u; u--;
        int v; cin >> v; v--;
        graph.addEdge(u, v);
    }

    auto tecc = nachia::TwoEdgeConnectedComponents(graph).getEdgeMapping();

    nachia::Graph graph2(N, true);
    for(int i=0; i<M; i++) if(tecc[i] == -1) graph2.addEdge(graph[i].from, graph[i].to);

    auto con = nachia::ConnectedComponents(graph2).getMapping();

    for(int i=0; i<Q; i++){
        int u; cin >> u; u--;
        int v; cin >> v; v--;
        bool ans = con[u] == con[v];
        cout << (ans ? "Yes\n" : "No\n");
    }
    return 0;
}

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結果

テストケース

ソースコード