#include #define N_MAX 2000 #define M_MAX 2000000 typedef struct Edge { struct Edge *next; int v; } edge; int DFS_bipartite_matching(edge* aux[], int par[], int u) { int w; for (; aux[u] != NULL; aux[u] = aux[u]->next) { w = aux[u]->v; if (par[w] == 0) { // w is a sink par[w] = u; return w; } else if (par[w] > 0) continue; // w is already checked par[w] = u; w = DFS_bipartite_matching(aux, par, w); if (w > 0) return w; } return 0; } int bipartite_matching_augmentation(int N, char color[], edge* adj[], edge e[], int mate[]) { static int i, u, w, depth[N_MAX + 1], par[N_MAX + 1], q[N_MAX + 1], head, tail; static edge *aux[N_MAX + 1], f[M_MAX * 2], *p; for (u = 1, tail = 0, par[0] = 0; u <= N; u++) { if (mate[u] == 0) { // u is a source of sink if (color[u] == 0) { // u is a source depth[u] = 0; q[tail++] = u; } else depth[u] = N; par[u] = 0; } else { depth[u] = N; par[u] = -1; } } // BFS for constructing the layered network for (head = 0, i = 0; head < tail; head++) { u = q[head]; aux[u] = NULL; if (color[u] == 0) { for (p = adj[u]; p != NULL; p = p->next) { w = p->v; if (mate[u] == w) continue; // No arc in this direction if (depth[w] == N) { // w has been found for the first time depth[w] = depth[u] + 1; q[tail++] = w; } if (depth[w] == depth[u] + 1) { // Add the arc uw f[i].v = w; f[i].next = aux[u]; aux[u] = &(f[i++]); } } } else if (mate[u] != 0) { w = mate[u]; if (depth[w] == N) { // w has been found for the first time depth[w] = depth[u] + 1; q[tail++] = w; } if (depth[w] == depth[u] + 1) { // Add the arc uw f[i].v = w; f[i].next = aux[u]; aux[u] = &(f[i++]); } } } // DFS for finding disjoint augmenting paths for (u = 1, tail = 0; u <= N; u++) { if (depth[u] != 0) continue; w = DFS_bipartite_matching(aux, par, u); if (w > 0) q[tail++] = w; // An augmenting path from u to w has been found } // Augmentation for (head = 0; head < tail; head++) { for (w = q[head], u = par[w]; u > 0; w = par[u], u = par[w]) { mate[u] = w; mate[w] = u; } } return tail; } int bipartite_matching(int N, char color[], edge* adj[], edge e[], int mate[]) { int i, u, dif, ans = 0; edge *p; for (u = 1; u <= N; u++) mate[u] = 0; // Initialization do { // Augmentation dif = bipartite_matching_augmentation(N, color, adj, e, mate); ans += dif; } while (dif != 0); return ans; } int main() { int i, N, A[2001]; scanf("%d", &N); for (i = 1; i <= N; i++) scanf("%d", &(A[i])); int k, m = 0, u, w, bit[31]; edge *adj[2001] = {}, e[2000001], *p; for (i = 1, bit[0] = 1; i <= 30; i++) bit[i] = bit[i-1] << 1; for (u = 1; u <= N; u++) { for (k = 0; k < 30; k++) { for (w = u + 1; w <= N; w++) { if ((A[u] ^ A[w]) == bit[k]) { e[m].v = w; e[m].next = adj[u]; adj[u] = &(e[m++]); e[m].v = u; e[m].next = adj[w]; adj[w] = &(e[m++]); } } } } char color[2001]; int q[2001], head, tail; for (u = 1; u <= N; u++) color[u] = -1; for (i = 1; i <= N; i++) { if (color[i] >= 0) continue; q[0] = i; color[i] = 0; for (head = 0, tail = 1; head < tail; head++) { u = q[head]; for (p = adj[u]; p != NULL; p = p->next) { w = p->v; if (color[w] < 0) { color[w] = color[u] ^ 1; q[tail++] = w; } } } } int mate[2001]; printf("%d\n", N - bipartite_matching(N, color, adj, e, mate)); fflush(stdout); return 0; }