## https://yukicoder.me/problems/no/1690 class UnionFind: """ UnionFindの基本的な処理を実装したクラス """ def __init__(self, size): self.root = [i for i in range(size)] self.size = [1] * size def get_root(self, v): if v == self.root[v]: return v else: old_root = self.root[v] new_root = self.get_root(old_root) self.root[v] = new_root return new_root def merge(self, u, v): root_u = self.get_root(u) root_v = self.get_root(v) if root_u == root_v: return False if self.size[root_u] >= self.size[root_v]: self.size[root_u] += self.size[root_v] self.root[root_v] = root_u self.root[v] = root_u else: self.size[root_v] += self.size[root_u] self.root[root_u] = root_v self.root[u] = root_v return True def main(): N, M, K = map(int, input().split()) A = list(map(int, input().split())) edges = [] for _ in range(M): x, y, z = map(int, input().split()) edges.append((x - 1, y - 1, z)) # 2点間の距離を求める dist_matrix = [[float("inf")] * N for _ in range(N)] for i in range(N): dist_matrix[i][i] = 0 for x, y, z in edges: dist_matrix[x][y] = z dist_matrix[y][x] = z for k in range(N): for i in range(N): for j in range(N): dist_matrix[i][j] = min(dist_matrix[i][j], dist_matrix[i][k] + dist_matrix[k][j]) dist_array = [] for i in range(N): for j in range(i + 1, N): dist_array.append((i, j, dist_matrix[i][j])) dist_array.sort(key=lambda x: x[2]) answer_cost = float("inf") for bit in range(2 ** N): count = 0 array = [] cost = 0 for i in range(N): if bit >> i & 1: cost += A[i] count += 1 array.append(i) uf = UnionFind(N) if count == K: for i, j, z in dist_array: bi = (1 << i) | (1 << j) if bi & bit == bi: if uf.merge(i, j): cost += z answer_cost = min(answer_cost, cost) print(answer_cost) if __name__ == "__main__": main()