#824701 (C++17) No.2160 みたりのDominator

提出ソース

結果

問題	No.2160 みたりのDominator
ユーザー	👑 Nachia
提出日時	2022-12-11 15:05:03
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	103 ms / 2,000 ms
コード長	14,407 bytes
コンパイル時間	1,686 ms
コンパイル使用メモリ	104,604 KB
実行使用メモリ	36,816 KB
最終ジャッジ日時	2024-10-15 12:11:38
合計ジャッジ時間	9,736 ms
ジャッジサーバーID （参考情報）	judge2 / judge5

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	41 ms 19,640 KB
testcase_02	AC	2 ms 5,248 KB
testcase_03	AC	2 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	2 ms 5,248 KB
testcase_08	AC	2 ms 5,248 KB
testcase_09	AC	2 ms 5,248 KB
testcase_10	AC	2 ms 5,248 KB
testcase_11	AC	2 ms 5,248 KB
testcase_12	AC	2 ms 5,248 KB
testcase_13	AC	2 ms 5,248 KB
testcase_14	AC	2 ms 5,248 KB
testcase_15	AC	2 ms 5,248 KB
testcase_16	AC	2 ms 5,248 KB
testcase_17	AC	2 ms 5,248 KB
testcase_18	AC	2 ms 5,248 KB
testcase_19	AC	2 ms 5,248 KB
testcase_20	AC	2 ms 5,248 KB
testcase_21	AC	2 ms 5,248 KB
testcase_22	AC	2 ms 5,248 KB
testcase_23	AC	2 ms 5,248 KB
testcase_24	AC	2 ms 5,248 KB
testcase_25	AC	2 ms 5,248 KB
testcase_26	AC	2 ms 5,248 KB
testcase_27	AC	2 ms 5,248 KB
testcase_28	AC	2 ms 5,248 KB
testcase_29	AC	2 ms 5,248 KB
testcase_30	AC	2 ms 5,248 KB
testcase_31	AC	2 ms 5,248 KB
testcase_32	AC	2 ms 5,248 KB
testcase_33	AC	2 ms 5,248 KB
testcase_34	AC	43 ms 19,644 KB
testcase_35	AC	2 ms 5,248 KB
testcase_36	AC	2 ms 5,248 KB
testcase_37	AC	2 ms 5,248 KB
testcase_38	AC	2 ms 5,248 KB
testcase_39	AC	2 ms 5,248 KB
testcase_40	AC	50 ms 18,728 KB
testcase_41	AC	47 ms 18,692 KB
testcase_42	AC	29 ms 12,512 KB
testcase_43	AC	39 ms 15,756 KB
testcase_44	AC	49 ms 18,412 KB
testcase_45	AC	47 ms 18,256 KB
testcase_46	AC	42 ms 17,372 KB
testcase_47	AC	24 ms 11,984 KB
testcase_48	AC	32 ms 14,764 KB
testcase_49	AC	37 ms 17,872 KB
testcase_50	AC	36 ms 17,912 KB
testcase_51	AC	31 ms 13,580 KB
testcase_52	AC	43 ms 17,712 KB
testcase_53	AC	48 ms 18,096 KB
testcase_54	AC	28 ms 12,080 KB
testcase_55	AC	91 ms 33,068 KB
testcase_56	AC	81 ms 31,480 KB
testcase_57	AC	83 ms 31,888 KB
testcase_58	AC	94 ms 35,792 KB
testcase_59	AC	89 ms 33,004 KB
testcase_60	AC	88 ms 36,452 KB
testcase_61	AC	89 ms 32,588 KB
testcase_62	AC	103 ms 36,816 KB
testcase_63	AC	92 ms 33,632 KB
testcase_64	AC	76 ms 32,972 KB
testcase_65	AC	46 ms 19,280 KB
testcase_66	AC	48 ms 20,176 KB
testcase_67	AC	49 ms 20,684 KB
testcase_68	AC	92 ms 33,744 KB
testcase_69	AC	69 ms 25,812 KB
testcase_70	AC	92 ms 33,748 KB
testcase_71	AC	39 ms 16,380 KB
testcase_72	AC	72 ms 26,604 KB
testcase_73	AC	92 ms 33,316 KB
testcase_74	AC	88 ms 31,956 KB
testcase_75	AC	20 ms 11,988 KB
testcase_76	AC	17 ms 10,196 KB
testcase_77	AC	58 ms 23,292 KB
testcase_78	AC	70 ms 25,932 KB
testcase_79	AC	12 ms 7,960 KB
testcase_80	AC	14 ms 9,108 KB
testcase_81	AC	25 ms 13,724 KB
testcase_82	AC	28 ms 15,440 KB
testcase_83	AC	31 ms 15,704 KB
61_evil_bias_nocross_01.txt	AC	49 ms 18,856 KB
61_evil_bias_nocross_02.txt	AC	48 ms 18,688 KB
61_evil_bias_nocross_03.txt	AC	27 ms 12,468 KB
61_evil_bias_nocross_04.txt	AC	38 ms 15,752 KB
61_evil_bias_nocross_05.txt	AC	47 ms 18,284 KB
61_evil_bias_nocross_06.txt	AC	49 ms 18,804 KB
61_evil_bias_nocross_07.txt	AC	31 ms 13,576 KB
61_evil_bias_nocross_08.txt	AC	44 ms 17,712 KB
61_evil_bias_nocross_09.txt	AC	46 ms 18,224 KB
61_evil_bias_nocross_10.txt	AC	27 ms 12,208 KB
61_evil_bias_nocross_11.txt	AC	36 ms 15,328 KB
61_evil_bias_nocross_12.txt	AC	43 ms 17,124 KB

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ソースコード

raw source code

#line 1 "Main.cpp"
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <utility>
#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, 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 4 "nachia\\graph\\strongly-connected-components.hpp"

namespace nachia{

struct StronglyConnectedComponents{
    int m_n;
    CsrArray<int> induce;
    int componentNum;

    StronglyConnectedComponents() : m_n(0), induce(), componentNum(0) {}
    StronglyConnectedComponents(Graph E) {
        int n = E.numVertices();
        m_n = n;
        std::vector<int> O(n);
        {
            auto adj = E.getAdjacencyArray();
            int Oi = n;
            std::vector<int> P(n, -1), EI(n, 0);
            for(int s=0; s<n; s++) if(P[s] == -1){
                P[s] = -2;
                int p = s;
                while(p >= 0){
                    if(EI[p] == adj[p].size()){ O[--Oi] = p; p = P[p]; continue; }
                    int q = adj[p][EI[p]++];
                    if(P[q] == -1){ P[q] = p; p = q; }
                }
            }
        }
        E.reverseEdges();
        auto adj = E.getAdjacencyArray();
        std::vector<int> sep = {0}, csr(n), vis(n,0);
        int p1 = 0, p2 = 0;
        for(int s : O) if(!vis[s]){
            csr[p2++] = s; vis[s] = 1;
            for(; p1<p2; p1++){
                int v = csr[p1];
                for(auto e : adj[v]) if(!vis[e]){ vis[e] = 1; csr[p2++] = e; }
            }
            sep.push_back(p2);
        }
        induce = CsrArray<int>::FromRaw(std::move(csr), std::move(sep));
        componentNum = induce.size();
    }

    int numComponent() const { return componentNum; }
    const CsrArray<int>& getCsr() const { return induce; }
};

} // namespace nachia
#line 2 "nachia\\misc\\fastio.hpp"
#include <cstdio>
#include <cctype>
#include <cstdint>
#line 6 "nachia\\misc\\fastio.hpp"

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(){
		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(){ while(isspace(seekChar())) p++; }
	uint32_t nextU32(){
		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(){
		skipSpace();
		if(seekChar() == '-'){ p++; return (int32_t)(-nextU32()); }
		return (int32_t)nextU32();
	}
	uint64_t nextU64(){
		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(){
		skipSpace();
		if(seekChar() == '-'){ p++; return (int64_t)(-nextU64()); }
		return (int64_t)nextU64();
	}
	char nextChar(){ 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){ dest = nextU32(); return *this; }
	MyType& operator>>(int& dest){ dest = nextI32(); return *this; }
	MyType& operator>>(unsigned long& dest){ dest = nextU64(); return *this; }
	MyType& operator>>(long& dest){ dest = nextI64(); return *this; }
	MyType& operator>>(unsigned long long& dest){ dest = nextU64(); return *this; }
	MyType& operator>>(long long& dest){ dest = nextI64(); return *this; }
	MyType& operator>>(std::string& dest){ dest = nextToken(); return *this; }
	MyType& operator>>(char& dest){ 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 9 "Main.cpp"

int main(){
    using nachia::cin;
    using nachia::cout;

    int N1, N2, N3, M; cin >> N1 >> N2 >> N3 >> M;
    int s = N1+N2+N3, t = N1+N2+N3+1, N = N1+N2+N3+2;
    nachia::Graph graph(N, false);

    if(N1 != 0){
        graph.addEdge(s, 0);
        for(int i=0; i<N1-1; i++) graph.addEdge(i,i+1);
        graph.addEdge(N1-1, t);
    } else {
        graph.addEdge(s, t);
    }
    
    if(N2 != 0){
        graph.addEdge(s, N1);
        for(int i=N1; i<N1+N2-1; i++) graph.addEdge(i,i+1);
        graph.addEdge(N1+N2-1, t);
    } else {
        graph.addEdge(s, t);
    }
    
    if(N3 != 0){
        graph.addEdge(s, N1+N2);
        for(int i=N1+N2; i<N1+N2+N3-1; i++) graph.addEdge(i,i+1);
        graph.addEdge(N1+N2+N3-1, t);
    } else {
        graph.addEdge(s, t);
    }

    for(int i=0; i<M; i++){
        int u, v; cin >> u >> v; u--; v--;
        graph.addEdge(u, v);
        graph.addEdge(v, u);
    }

    auto scc = nachia::StronglyConnectedComponents(graph).getCsr();
    std::vector<int> sccid(N);
    for(int i=0; i<scc.size(); i++) for(int j : scc[i]) sccid[j] = i;

    N = scc.size();
    s = sccid[s];
    t = sccid[t];
    if(s == t){ cout << "0\n"; return 0; }
    nachia::Graph graph2(N, false);
    for(auto e : graph) if(sccid[e.from] != sccid[e.to]) graph2.addEdge(sccid[e.from], sccid[e.to]);

    std::vector<int> SkipV(N, -1);
    auto adj_graph2d = graph2.getAdjacencyArray(false);
    int N4 = 0;
    for(int i=0; i<N; i++) if(adj_graph2d[i].size() != 1) SkipV[i] = N4++;

    std::vector<long long> partAns(N4-1, 1);
    for(int v=0; v<N; v++) if(SkipV[v] != -1) for(int w : adj_graph2d[v]){
        int weight = 1;
        while(SkipV[w] == -1){ w = adj_graph2d[w][0]; weight++; }
        int vp = SkipV[v], wp = SkipV[w];
        for(int i=vp; i<wp; i++) partAns[i] *= weight;
    }

    long long ans = 0;
    for(auto w : partAns) ans += w;
    cout << ans << '\n';

    return 0;
}

yukicoder

結果

テストケース

ソースコード