/* miscellaneous > binary search > on answer difficulty: medium date: 03/Apr/2020 problem: given an array A of size N (2 <= N <= 10^5), print the largest minimum distance between any two of C (C <= N) elements choosen any by: @brpapa */ #include #include #include #define ll long long using namespace std; int N, C; vector A; // consigo escolher C elementos de A mantendo uma distância mínima entre eles de ans? bool can(ll ans) { int k = 0; // A[k] é o último elemento escolhido int c = 1; for (int i = 1; i < N && c < C; i++) if (A[i]-A[k] >= ans) { c++; k = i; } return c >= C; } int main() { int T; cin >> T; while (T--) { cin >> N >> C; A.resize(N); for (ll &a: A) cin >> a; sort(A.begin(), A.end()); ll low = 0, high = A[N-1]-A[0]; ll ans; while (low <= high) { ll mid = (low+high)/2; if (can(mid)) low = mid+1, ans = mid; else high = mid-1; } cout << ans << endl; } return 0; }