#679180 (C++17) No.1605 Matrix Shape

提出ソース

結果

問題	No.1605 Matrix Shape
ユーザー	bond_cmprog
提出日時	2021-07-16 23:22:32
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	247 ms / 2,000 ms
コード長	10,563 bytes
コンパイル時間	2,026 ms
コンパイル使用メモリ	219,208 KB
実行使用メモリ	26,012 KB
最終ジャッジ日時	2024-07-06 10:58:01
合計ジャッジ時間	5,748 ms
ジャッジサーバーID （参考情報）	judge5 / judge2

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	4 ms 10,356 KB
testcase_01	AC	5 ms 10,372 KB
testcase_02	AC	4 ms 10,300 KB
testcase_03	AC	5 ms 10,344 KB
testcase_04	AC	5 ms 10,292 KB
testcase_05	AC	5 ms 10,300 KB
testcase_06	AC	5 ms 10,248 KB
testcase_07	AC	5 ms 10,332 KB
testcase_08	AC	6 ms 10,392 KB
testcase_09	AC	5 ms 10,476 KB
testcase_10	AC	5 ms 10,332 KB
testcase_11	AC	5 ms 10,312 KB
testcase_12	AC	6 ms 10,396 KB
testcase_13	AC	5 ms 10,328 KB
testcase_14	AC	6 ms 10,400 KB
testcase_15	AC	5 ms 10,288 KB
testcase_16	AC	5 ms 10,396 KB
testcase_17	AC	4 ms 10,288 KB
testcase_18	AC	5 ms 10,396 KB
testcase_19	AC	246 ms 25,800 KB
testcase_20	AC	164 ms 18,180 KB
testcase_21	AC	161 ms 18,168 KB
testcase_22	AC	216 ms 25,948 KB
testcase_23	AC	240 ms 25,960 KB
testcase_24	AC	247 ms 26,012 KB
testcase_25	AC	52 ms 12,348 KB
testcase_26	AC	52 ms 12,368 KB
testcase_27	AC	52 ms 12,408 KB
testcase_28	AC	49 ms 12,360 KB
testcase_29	AC	50 ms 12,368 KB
testcase_30	AC	165 ms 18,924 KB
testcase_31	AC	167 ms 18,828 KB
testcase_32	AC	117 ms 16,340 KB
testcase_33	AC	110 ms 16,340 KB
testcase_34	AC	38 ms 11,800 KB
testcase_35	AC	152 ms 22,900 KB
testcase_36	AC	87 ms 18,160 KB

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ソースコード

raw source code

#include <stdio.h>
#include <bits/stdc++.h>
// #include <boost/multiprecision/cpp_int.hpp>
// using Bint = boost::multiprecision::cpp_int;
#define REP(i, n) for(int i = 0;i < n;i++)
#define ll long long
using namespace std;
typedef pair<int, int> P;
typedef pair<ll,ll> LP;
const int dx[8] = {1, 0, -1, 0, 1, -1, -1, 1};
const int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1};
const int INF = 1000000000;
const ll LINF = 1000000000000000000;//1e18
const double PI = acos(-1.0);
const double EPS = 1e-10;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
inline constexpr ll ceil_div(const ll a, const ll b) {return (a + b - 1) / b - !!((a + b - 1) % b < 0);}// return ceil(a/b)
inline constexpr ll floor_div(const ll a, const ll b) {return a / b - !!(a % b < 0);}// return floor(a/b)

/*  ----------------------- DEBUG FUNCTION ---------------------------- */
#define DUMPOUT cerr
void dump_function() { DUMPOUT << ' '; }
void dump_function(bool a) { DUMPOUT << a; }
void dump_function(int a) { DUMPOUT << a; }
void dump_function(long long a) { DUMPOUT << a; }
void dump_function(char a) { DUMPOUT << a; }
void dump_function(string &a) { DUMPOUT << a; }
void dump_function(double a) { DUMPOUT << a; }
template <class T> void dump_function(const vector<T> &);
template <class T, size_t size> void dump_function(const array<T, size> &);
template <class T, class L> void dump_function(const pair<T, L> &p);
template <class T, size_t size> void dump_function(const T (&)[size]);
template <class T> void dump_function(const vector<T> &a) {
    if(a.empty()) return;
    dump_function(a[0]);
    for(auto i = a.begin(); ++i != a.end();) {
        DUMPOUT << " ";
        dump_function(*i);
    }
    DUMPOUT << endl;
}
template <class T> void dump_function(const deque<T> &a) {
    if(a.empty()) return;
    dump_function(a[0]);
    for(auto i = a.begin(); ++i != a.end();) {
        DUMPOUT << " ";
        dump_function(*i);
    }
}
template <class T, size_t size> void dump_function(const array<T, size> &a) {
    dump_function(a[0]);
    for(auto i = a.begin(); ++i != a.end();) {
        DUMPOUT << " ";
        dump_function(*i);
    }
}
template <class T, class L> void dump_function(const pair<T, L> &p) {
    DUMPOUT << '(';
    dump_function(p.first);
    DUMPOUT << ",";
    dump_function(p.second);
    DUMPOUT << ')';
}
template <class T> void dump_function(set<T> &x) {
    for(auto e : x) dump_function(e), DUMPOUT << " ";
    DUMPOUT << endl;
}
template <class T> void dump_function(multiset<T> &x) {
    for(auto e : x) dump_function(e), DUMPOUT << " ";
    DUMPOUT << endl;
}
template <class T, size_t size> void dump_function(const T (&a)[size]) {
    dump_function(a[0]);
    for(auto i = a; ++i != end(a);) {
        DUMPOUT << " ";
        dump_function(*i);
    }
}
template <class T> void dump_function(const T &a) { DUMPOUT << a; }
int dump_out() {
    DUMPOUT << '\n';
    return 0;
}
template <class T> int dump_out(const T &t) {
    dump_function(t);
    DUMPOUT << '\n';
    return 0;
}
template <class Head, class... Tail> int dump_out(const Head &head, const Tail &... tail) {
    dump_function(head);
    DUMPOUT << ' ';
    dump_out(tail...);
    return 0;
}

#ifdef DEBUG_
#define dump(x)                                                                                                                                               \
    DUMPOUT << #x << ": ";                                                                                                                                        \
    dump_function(x);                                                                                                                                                  \
    DUMPOUT << endl;
void dumps() {}
template <class T> void dumps(const T &t) {
    dump_function(t);
    DUMPOUT << " ";
}
template <class Head, class... Tail> void dumps(const Head &head, const Tail &... tail) {
    dump_function(head);
    DUMPOUT << ' ';
    dump_out(tail...);
}
#else
#define dump(x)
template <class... T> void dumps(const T &...) {}
#endif
/*  ----------------------- DEBUG FUNCTION ---------------------------- */

template<int MOD> struct Fp {
    long long val;
    constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
        if (val < 0) val += MOD;
    }
    constexpr int getmod() const { return MOD; }
    constexpr Fp operator - () const noexcept {
        return val ? MOD - val : 0;
    }
    constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
    constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
    constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
    constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
    constexpr Fp& operator += (const Fp& r) noexcept {
        val += r.val;
        if (val >= MOD) val -= MOD;
        return *this;
    }
    constexpr Fp& operator -= (const Fp& r) noexcept {
        val -= r.val;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr Fp& operator *= (const Fp& r) noexcept {
        val = val * r.val % MOD;
        return *this;
    }
    constexpr Fp& operator /= (const Fp& r) noexcept {
        long long a = r.val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b, swap(a, b);
            u -= t * v, swap(u, v);
        }
        val = val * u % MOD;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr bool operator == (const Fp& r) const noexcept {
        return this->val == r.val;
    }
    constexpr bool operator != (const Fp& r) const noexcept {
        return this->val != r.val;
    }
    friend constexpr istream& operator >> (istream& is, Fp<MOD>& x) noexcept {
        is >> x.val;
        x.val %= MOD;
        if (x.val < 0) x.val += MOD;
        return is;
    }
    friend constexpr ostream& operator << (ostream& os, const Fp<MOD>& x) noexcept {
        return os << x.val;
    }
    friend constexpr Fp<MOD> modpow(const Fp<MOD>& r, long long n) noexcept {
        if (n == 0) return 1;
        auto t = modpow(r, n / 2);
        t = t * t;
        if (n & 1) t = t * r;
        return t;
    }
    friend constexpr Fp<MOD> modinv(const Fp<MOD>& r) noexcept {
        long long a = r.val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b, swap(a, b);
            u -= t * v, swap(u, v);
        }
        return Fp<MOD>(u);
    }
};


template<class T> struct BiCoef {
    vector<T> fact_, inv_, finv_;
    constexpr BiCoef() {}
    constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
        init(n);
    }
    constexpr void init(int n) noexcept {
        fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
        int MOD = fact_[0].getmod();
        for(int i = 2; i < n; i++){
            fact_[i] = fact_[i-1] * i;
            inv_[i] = -inv_[MOD%i] * (MOD/i);
            finv_[i] = finv_[i-1] * inv_[i];
        }
    }
    constexpr T nCr(int n, int k) const noexcept {
        if (n < k || n < 0 || k < 0) return 0;
        int MOD = fact_[0].getmod();
        if(n < MOD) return fact_[n] * finv_[k] * finv_[n-k];

        // Lucasの定理
        T ret = 1;
        while(n || k){
            int _n = n % MOD, _k = k % MOD;
            n /= MOD;
            k /= MOD;
            ret *= nCr(_n, _k);
        }
        return ret;
    }
    constexpr T nPr(int n, int k) const noexcept {
        if (n < k || n < 0 || k < 0) return 0;
        return fact_[n] * finv_[n-k];
    }
    constexpr T nHr(int n, int k) const noexcept {
        if (n < k || n < 0 || k < 0) return 0;
        return fact_[n] * finv_[n-k];
    }
    constexpr T fact(int n) const noexcept {
        if (n < 0) return 0;
        return fact_[n];
    }
    constexpr T inv(int n) const noexcept {
        if (n < 0) return 0;
        return inv_[n];
    }
    constexpr T finv(int n) const noexcept {
        if (n < 0) return 0;
        return finv_[n];
    }
};

/* ----------------------------- MOD ----------------------------------- */
const int MOD = 1000000007;
const int MOD2 = 998244353;
using mint = Fp<MOD>;
BiCoef<mint> bc;
// using vec = vector<int>;
// using mat = vector<vec>;
/* ----------------------------- MOD ----------------------------------- */

/*  ----------------------- AtCoder Library ---------------------------- */
// #include <atcoder/all>
// using namespace atcoder;
/*  ----------------------- AtCoder Library ---------------------------- */
struct UnionFind {
    vector<int> par;

    UnionFind(int n) : par(n, -1) { }
    void init(int n) { par.assign(n, -1); }

    int root(int x) {
        if (par[x] < 0) return x;
        else return par[x] = root(par[x]);
    }

    bool issame(int x, int y) {
        return root(x) == root(y);
    }

    bool unite(int x, int y) {
        x = root(x); y = root(y);
        if (x == y) return false;
        if (par[x] > par[y]) swap(x, y); // merge technique
        par[x] += par[y];
        par[y] = x;
        return true;
    }

    int size(int x) {
        return -par[root(x)];
    }
};

void solve(){
    int N;
    cin >> N;
    vector<int> in(202020), out(202020);
    set<int> st;
    vector<vector<int>> g(202020);
    REP(i,N){
        int H, W;
        cin >> H >> W;
        H--, W--;
        in[W]++;
        out[H]++;
        st.insert(H);
        st.insert(W);
        g[H].emplace_back(W);
        g[W].emplace_back(H);
    }
    vector<int> used(202020);
    queue<int> q;
    q.emplace(*st.begin());
    used[*st.begin()] = 1;
    while(!q.empty()){
        int cur = q.front(); q.pop();
        for(int nv : g[cur]){
            if(used[nv]) continue;
            used[nv] = 1;
            q.emplace(nv);
        }
    }
    if(accumulate(used.begin(), used.end(), 0) != (int)st.size()){
        cout << 0 << endl;
        return;
    }
    int start = 0;
    int end = 0;
    int same = 0;
    REP(i,202020) if(st.count(i)){
        if(in[i] + 1 == out[i]) start++;
        if(in[i] == out[i] + 1) end++;
        if(in[i] == out[i]) same++;
    }
    if(start == 1 and end == 1 and same == (int)st.size() - 2) cout << 1 << endl;
    else if(same == (int)st.size()) cout << st.size() << endl;
    else cout << 0 << endl;
}

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    solve();
    // int T; cin >> T; REP(t,T) solve();
}

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結果

テストケース

ソースコード