結果

問題 No.95 Alice and Graph
ユーザー DemystifyDemystify
提出日時 2022-05-07 18:10:14
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 662 ms / 5,000 ms
コード長 6,287 bytes
コンパイル時間 2,415 ms
コンパイル使用メモリ 215,272 KB
実行使用メモリ 7,616 KB
最終ジャッジ日時 2024-07-06 23:29:05
合計ジャッジ時間 4,875 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 253 ms
7,580 KB
testcase_01 AC 35 ms
7,616 KB
testcase_02 AC 29 ms
7,612 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 366 ms
7,528 KB
testcase_05 AC 289 ms
7,576 KB
testcase_06 AC 356 ms
7,552 KB
testcase_07 AC 35 ms
7,584 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 2 ms
6,944 KB
testcase_10 AC 1 ms
6,940 KB
testcase_11 AC 2 ms
6,944 KB
testcase_12 AC 2 ms
6,940 KB
testcase_13 AC 662 ms
7,488 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

diff #

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
// --------------------------------------------------------
#define FOR(i,l,r) for (int i = (l); i < (r); ++i)
#define RFOR(i,l,r) for (int i = (r)-1; (l) <= i; --i)
#define REP(i,n) FOR(i,0,n)
#define RREP(i,n) RFOR(i,0,n)
#define ALL(c) (c).begin(), (c).end()
#define RALL(c) (c).rbegin(), (c).rend()
#define SORT(c) sort(ALL(c))
#define RSORT(c) sort(RALL(c))
#define MIN(c) *min_element(ALL(c))
#define MAX(c) *max_element(ALL(c))
#define SUM(c) accumulate(ALL(c), 0LL)
#define COUNT(c,v) count(ALL(c),(v))
#define SZ(c) ((ll)(c).size())
#define BIT(b,i) (((b)>>(i)) & 1)
#define PCNT(b) __builtin_popcountll(b)
#define P0(i) (((i) & 1) == 0)
#define P1(i) (((i) & 1) == 1)
#ifdef _LOCAL
    #define debug_bar cerr << "--------------------\n";
    #define debug(x) cerr << "l." << __LINE__ << " : " << #x << " = " << (x) << '\n'
    #define debug_pair(x) cerr << "l." << __LINE__ << " : " << #x << " = (" << x.first << "," << x.second << ")\n";
    template<class T> void debug_line(const vector<T>& ans, int l, int r, int L = 0) { cerr << "l." << L << " :"; for (int i = l; i < r; i++) { cerr << ' ' << ans[i]; } cerr << '\n'; }
#else
    #define cerr if (false) cerr
    #define debug_bar
    #define debug(x)
    #define debug_pair(x)
    template<class T> void debug_line([[maybe_unused]] const vector<T>& ans, [[maybe_unused]] int l, [[maybe_unused]] int r, [[maybe_unused]] int L = 0) {}
#endif
template<class... T> void input(T&... a) { (cin >> ... >> a); }
void print() { cout << '\n'; }
template<class T> void print(const T& a) { cout << a << '\n'; }
template<class T, class... Ts> void print(const T& a, const Ts&... b) { cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
template<class T> void cout_line(const vector<T>& ans, int l, int r) { for (int i = l; i < r; i++) { if (i != l) { cout << ' '; } cout << ans[i]; } cout << '\n'; }
template<class T> bool chmin(T& a, const T b) { if (b < a) { a = b; return 1; } return 0; }
template<class T> bool chmax(T& a, const T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> pair<T,T> divmod(T a, T b) { assert(a >= 0 && b > 0); return make_pair(T(a / b), T(a % b)); }
template<class T> T mod(T x, T m) { assert(m != 0); return T((x % m + m) % m); }
template<class T> T ceil(T a, T b) { if (b < 0) { return ceil(T(-a), T(-b)); } assert(b > 0); return (a < 0 ? T(a / b) : T((a + b - 1) / b)); }
template<class T> T floor(T a, T b) { if (b < 0) { return floor(T(-a), T(-b)); } assert(b > 0); return (a > 0 ? T(a / b) : T((a - b + 1) / b)); }
template<class T> T powint(T x, T n) { assert(n >= 0); if (n == 0) { return T(1); }; T res = powint(x, T(n>>1)); res *= res; if (n & 1) { res *= x; } return res; }
ll bitlen(ll b) { if (b <= 0) { return 0; } return (64LL - __builtin_clzll(b)); }
ll digit_len(ll n) { assert(n >= 0); if (n == 0) { return 1; } ll sum = 0; while (n > 0) { sum++; n /= 10; } return sum; }
ll digit_sum(ll n) { assert(n >= 0); ll sum = 0; while (n > 0) { sum += n % 10; n /= 10; } return sum; }
ll digit_prod(ll n) { assert(n >= 0); if (n == 0) { return 0; } ll prod = 1; while (n > 0) { prod *= n % 10; n /= 10; } return prod; }
ll xor_sum(ll x) { assert(0 <= x); switch (x % 4) { case 0: return x; case 1: return 1; case 2: return x ^ 1; case 3: return 0; } assert(false); }
string toupper(const string& S) { string T(S); for (int i = 0; i < (int)T.size(); i++) { T[i] = toupper(T[i]); } return T; }
string tolower(const string& S) { string T(S); for (int i = 0; i < (int)T.size(); i++) { T[i] = tolower(T[i]); } return T; }
int a2i(const char& c) { assert(islower(c)); return (c - 'a'); }
int A2i(const char& c) { assert(isupper(c)); return (c - 'A'); }
int d2i(const char& d) { assert(isdigit(d)); return (d - '0'); }
char i2a(const int& i) { assert(0 <= i && i < 26); return ('a' + i); }
char i2A(const int& i) { assert(0 <= i && i < 26); return ('A' + i); }
char i2d(const int& i) { assert(0 <= i && i <= 9); return ('0' + i); }
using P = pair<ll,ll>;
using VP = vector<P>;
using VVP = vector<VP>;
using VS = vector<string>;
using VVS = vector<VS>;
using VI = vector<int>;
using VVI = vector<VI>;
using VVVI = vector<VVI>;
using VLL = vector<ll>;
using VVLL = vector<VLL>;
using VVVLL = vector<VVLL>;
using VB = vector<bool>;
using VVB = vector<VB>;
using VVVB = vector<VVB>;
using VD = vector<double>;
using VVD = vector<VD>;
using VVVD = vector<VVD>;
using VLD = vector<ld>;
using VVLD = vector<VLD>;
using VVVLD = vector<VVLD>;
const ld EPS = 1e-10;
const ld PI  = acosl(-1.0);
constexpr ll MOD = 1000000007;
// constexpr ll MOD = 998244353;
constexpr int inf = (1 << 30) - 1;   // 1073741824 - 1
constexpr ll INF = (1LL << 62) - 1;  // 4611686018427387904 - 1
// --------------------------------------------------------
// #include <atcoder/all>
// using namespace atcoder;


// ワーシャルフロイド : O(N^3)
void warshall_floyd(VVLL& G) {
    int N = G.size();

    for (int k = 0; k < N; k++) {
        for (int i = 0; i < N; i++) if (G[i][k] != INF) {
            for (int j = 0; j < N; j++) if (G[k][j] != INF) {
                chmin(G[i][j], G[i][k] + G[k][j]);
            }
        }
    }
}


int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(15);

    ll N, M, K; cin >> N >> M >> K;
    VVLL G(N);
    REP(_,M) {
        ll u, v; cin >> u >> v;
        u--; v--;
        G[u].push_back(v);
        G[v].push_back(u);
    }

    VLL C(N); REP(i,N) C[i] = powint<ll>(2, i) - 1;

    VVLL dist(N,VLL(N,INF));
    REP(u,N) {
        for (auto v : G[u]) dist[u][v] = 1;
    }
    warshall_floyd(dist);

    VI X;
    RFOR(s,1,N) {
        VI Y(X); Y.push_back(s);
        int n = SZ(Y);
        VVLL dp(n, VLL(1<<n, INF));
        REP(u,n) dp[u][1<<u] = dist[0][Y[u]];
        REP(S,1<<n) {
            REP(u,n) if (BIT(S,u)) {
                REP(v,n) if (not (BIT(S,v))) {
                    chmin(dp[v][S^(1<<v)], dp[u][S] + dist[Y[u]][Y[v]]);
                }
            }
        }
        ll mn = INF;
        REP(u,n) chmin(mn, dp[u][(1<<n)-1]);
        if (mn <= K) X = Y;
        if (SZ(X) == K) break;
    }

    ll ans = 0;
    for (const auto& x : X) ans += C[x];
    print(ans);

    return 0;
}
0