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- /* d879 */
- /* AC (0.5s, 636KB) */
- #pragma warning( disable : 4996 )
- #pragma GCC optimize("Ofast,unroll-loops,no-stack-protector,fast-math")
- #include <cstdio>
- #include <cstring>
- #include <cstdint>
- #include <cmath>
- #include <algorithm>
- #include <tuple>
- #define ios_jazz ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)
- using namespace std;
- /* main code */
- constexpr int MAXN = 17;
- auto D = [](const pair<int, int>& a, const pair<int, int>& b) -> double { return sqrt((double)(a.first - b.first) * (a.first - b.first) + (a.second - b.second) * (a.second - b.second)); };
- double dis[MAXN][MAXN], ans[1 << MAXN];
- pair<int, int> position[MAXN];
- int n, t = 1;
- char s[21];
- int main()
- {
- while (~scanf("%d", &n) && n)
- {
- n <<= 1;
- for (int i = 0; i < n; ++i)
- scanf("%s %d %d", s, &position[i].first, &position[i].second);
- for (int i = 0; i < n; ++i)
- for (int j = i + 1; j < n; ++j)
- dis[j][i] = dis[i][j] = D(position[i], position[j]);
- for (int i = 1; i < (1 << n); ++i)
- ans[i] = (1 << 30);
- for (int k = 0; k < (1 << n); ++k)
- {
- for (int i = n - 1; i >= 0; --i)
- {
- if (k & (1 << i))
- {
- for (int j = 0; j < i; ++j)
- {
- if (k & (1 << j) && dis[i][j] + ans[k ^ (1 << i) ^ (1 << j)] < ans[k])
- ans[k] = dis[i][j] + ans[k ^ (1 << i) ^ (1 << j)];
- }
- break;
- }
- }
- }
- printf("Case %d: %.2lf\n", t++, ans[(1 << n) - 1]);
- }
- return 0;
- }
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