#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define endl '\n' #define all(v) (v).begin(), (v).end() #define rall(v) (v).rbegin(), (v).rend() #define uniq(v) (v).erase(unique((v).begin(), (v).end()), (v).end()) typedef long long ll; typedef pair P; typedef unsigned int uint; typedef unsigned long long ull; struct pairhash { public: template size_t operator()(const pair &x) const { size_t seed = hash()(x.first); return hash()(x.second) + 0x9e3779b9 + (seed<<6) + (seed>>2); } }; const int inf = 1000000009; const double eps = 1e-8; int n, k; int ns[10]; double res = 0; int as[10]; set > memo; void calc(int m, int rem, int bit, vector& vec) { if (m == k) { double mini = inf, maxi = 0; for (int i = 0; i < k; i++) { int count = 0; double sum = 0; for (int j = 0; j < n; j++) { if (as[j] == i) { count++; sum += ns[j]; } } mini = min(mini, sum / count); maxi = max(maxi, sum / count); } res = max(res, maxi - mini); } else if (m < k-1) { for (int i = 1; rem-i >= k-m-1; i++) { //if (m == 0 && i == 2) printf("called\n"); int comb = (1 << i) - 1; //if (m == 0 && i == 2) cout << comb << " " << bit << " " << memo.count(comb) << endl; while (comb < 1 << n) { vector t = vec; t.push_back(comb); sort(all(t)); if ((comb & bit) == 0 && memo.count(t) == 0) { for (int j = 0; j < n; j++) { if ((comb>>j)&1) as[j] = m; } memo.insert(t); calc(m+1, rem-i, bit | comb, t); } int x = comb & -comb, y = comb + x; comb = ((comb & ~y) / x >> 1) | y; } } } else { for (int i = 0; i < n; i++) { if (!((bit>>i)&1)) as[i] = k-1; } calc(k, 0, 0, vec); } } int main() { scanf("%d%d", &n, &k); for (int i = 0; i < n; i++) { scanf("%d", &ns[i]); } vector vec; calc(0, n, 0, vec); printf("%d\n", (int)ceil(res-eps)); }