#include #include using namespace std; struct trie_nod_idx { trie_nod_idx *t[2]; int c[2]; trie_nod_idx() { t[0] = t[1] = NULL; c[0] = c[1] = 0; } }; struct trie_idx { trie_nod_idx *root; trie_idx() { root = new trie_nod_idx(); } inline void insert(int &x) { bool index; trie_nod_idx *curr = root; for(int i = 19; i >= 0; i--) { index = (((1 << i) & x) != 0); curr->c[index]++; if(curr->t[index] == NULL) { curr->t[index] = new trie_nod_idx(); } curr = curr->t[index]; } } inline int greater(int &x) { int cnt = 0; bool index; trie_nod_idx *curr = root; for(int i = 19; i >= 0 && curr != NULL; i--) { index = (((1 << i) & x) != 0); if(!index) cnt += curr->c[1]; curr = curr->t[index]; } return cnt; } inline int less(int &x) { int cnt = 0; bool index; trie_nod_idx *curr = root; for(int i = 19; i >= 0 && curr != NULL; i--) { index = (((1 << i) & x) != 0); if(index) cnt += curr->c[0]; curr = curr->t[index]; } return cnt; } }; struct trie_nod { trie_nod *t[2]; int c[2]; vector< int > idx; trie_idx removed; trie_idx added; trie_nod() { t[0] = t[1] = NULL; c[0] = c[1] = 0; } }; struct trie { trie_nod *root = new trie_nod(); inline int insert_f(int x, int idx) { bool index; int cnt = 0; trie_nod *curr = root; for(int i = 19; i >= 0; i--) { index = (((1 << i) & x) != 0); if(!index) cnt += curr->c[1]; curr->c[index]++; if(index) { curr->idx.push_back(idx); } if(curr->t[index] == NULL) { curr->t[index] = new trie_nod(); } curr = curr->t[index]; } return cnt; } inline void insert(int x, int idx) { bool index; trie_nod *curr = root; for(int i = 19; i >= 0; i--) { index = (((1 << i) & x) != 0); if(index) { curr->added.insert(idx); } if(curr->t[index] == NULL) { curr->t[index] = new trie_nod(); } curr = curr->t[index]; } } inline void remove(int x, int idx) { bool index; trie_nod *curr = root; for(int i = 19; i >= 0; i--) { index = (((1 << i) & x) != 0); if(index) { curr->removed.insert(idx); } curr = curr->t[index]; } } inline int greater_a(int x, int idx) { int cnt = 0; bool index; trie_nod *curr = root; for(int i = 19; i >= 0 && curr != NULL; i--) { index = (((1 << i) & x) != 0); if(!index) { cnt += curr->idx.end() - upper_bound(curr->idx.begin(), curr->idx.end(), idx); cnt += curr->added.greater(idx); cnt -= curr->removed.greater(idx); } curr = curr->t[index]; } return cnt; } inline int greater_b(int x, int idx) { int cnt = 0; bool index; trie_nod *curr = root; for(int i = 19; i >= 0 && curr != NULL; i--) { index = (((1 << i) & x) != 0); if(!index) { cnt += lower_bound(curr->idx.begin(), curr->idx.end(), idx) - curr->idx.begin(); cnt += curr->added.less(idx); cnt -= curr->removed.less(idx); } curr = curr->t[index]; } return cnt; } inline int between_a(int x, int y, int idx) { return greater_a(x - 1, idx) - greater_a(y, idx); } inline int between_b(int x, int y, int idx) { return greater_b(x - 1, idx) - greater_b(y, idx); } }; int main() { int M, K; cin >> M >> K; vector< int > A(M * K); for(auto &a: A) cin >> a; vector D(M, vector< int >()); { for(int i = 0; i < M * K; i++) { D[A[i]].emplace_back(i); A[i] += 2 * (D[A[i]].size() - 1) * M; } } int64_t now = 0; trie tr; for(int i = 0; i < M * K; i++) { A[i]++; now += tr.insert_f(A[i], i); } int64_t ret = now; for(int i = 0; i < M; i++) { for(auto &x: D[i]) { int y = A[x] + M; now -= tr.between_b(A[x] + 1, y, x); now += tr.between_a(A[x], y - 1, x); tr.remove(A[x], x); tr.insert(y, x); A[x] = y; } ret = min(ret, now); } cout << ret << "\n"; }