結果

問題 No.95 Alice and Graph
ユーザー Yang33Yang33
提出日時 2018-04-22 16:40:35
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 2,789 bytes
コンパイル時間 3,231 ms
コンパイル使用メモリ 170,980 KB
実行使用メモリ 9,832 KB
最終ジャッジ日時 2023-09-09 12:36:22
合計ジャッジ時間 6,944 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge14
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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 WA -
testcase_01 WA -
testcase_02 WA -
testcase_03 WA -
testcase_04 WA -
testcase_05 WA -
testcase_06 WA -
testcase_07 WA -
testcase_08 WA -
testcase_09 WA -
testcase_10 WA -
testcase_11 WA -
testcase_12 WA -
testcase_13 WA -
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ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;

using VS = vector<string>;    using LL = long long;
using VI = vector<int>;       using VVI = vector<VI>;
using PII = pair<int, int>;   using PLL = pair<LL, LL>;
using VL = vector<LL>;        using VVL = vector<VL>;

#define ALL(a)  begin((a)),end((a))
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define SZ(a) int((a).size())
#define SORT(c) sort(ALL((c)))
#define RSORT(c) sort(RALL((c)))
#define UNIQ(c) (c).erase(unique(ALL((c))), end((c)))
#define FOR(i, s, e) for (int(i) = (s); (i) < (e); (i)++)
#define FORR(i, s, e) for (int(i) = (s); (i) > (e); (i)--)
#define debug(x) cerr << #x << ": " << x << endl
const int INF = 1e9;                          const LL LINF = 1e16;
const LL MOD = 1000000007;                    const double PI = acos(-1.0);
int DX[8] = { 0, 0, 1, -1, 1, 1, -1, -1 };    int DY[8] = { 1, -1, 0, 0, 1, -1, 1, -1 };

/* -----  2018/04/19  Problem: yukicoder 095  / Link: http://yukicoder.me/problems/no/095  ----- */
/* ------問題------

Alice was given an undirected graph by her mother as a birthday gift.
Then, as usual, Alice is now playing a game with the graph.

The graph has N nodes, numbered from 1 to N, and node k has 2k−1−1 coins.
When the game starts, Alice is in node 1, and there is no coin at node 1, since 21−1−1=0.
Then Alice will be allowed to move at most K times.
At each move, Alice can go to an adjacent node through an edge, and collect the coins at the node.
The question is that what is the maximum number of coins can Alice collect?
Here please note that Alice does not have to go back to node 1.

-----問題ここまで----- */
/* -----解説等-----



----解説ここまで---- */



int f(VI& s, VVI& dist) {
	int n = SZ(s);

	VVI dp(1 << n, VI(n, INF));
	dp[1][0] = 0;
	FOR(i, 0, 1 << n) {
		FOR(j, 0, n) {
			if (dp[i][j] == INF)continue;
			if (i & 1 << j) {
				FOR(k, 0, n) {
					if (i & 1 << k)continue;
					dp[i | 1 << k][k] = min(dp[i | 1 << k][k], dp[i][j] + dist[s[j]][s[k]]);
				}
			}
		}
	}
	int ret = INF;
	FOR(i, 0, n) {
		ret = min(ret, dp[(1 << n) - 1][i]);
	}

	return ret;
}

LL ans = 0LL;

int main() {
	cin.tie(0);
	ios_base::sync_with_stdio(false);

	int N, M, K; cin >> N >> M >> K;
	VVI dist(N, VI(N, INF));
	FOR(i, 0, M) {
		int a, b; cin >> a >> b; a--, b--;
		dist[a][b] = dist[b][a] = 1;
	}
	FOR(i, 0, N)dist[i][i] = 0;
	FOR(k, 0, N)FOR(i, 0, N)FOR(j, 0, N)dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);

	VI Se({ 0 });
	FORR(k, N - 1, 0) {
		Se.push_back(k);
		if (f(Se, dist) <= K) {
			; // ok
		}
		else {
			Se.pop_back();
		}
		if (SZ(Se) == K + 1)break;
	}

	FOR(i, 0, SZ(Se)) {
		ans += (1LL << Se[i]) - 1;
	}
	cout << endl;

	cout << ans << "\n";
	return 0;
}
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