# Primal-Dual: https://tjkendev.github.io/procon-library/python/min_cost_flow/primal-dual.html from heapq import heappush, heappop from collections import deque class MinCostFlow: INF = 10**18 def __init__(self, N): self.N = N self.G = [[] for i in range(N)] def add_edge(self, fr, to, cap, cost): forward = [to, cap, cost, None] backward = forward[3] = [fr, 0, -cost, forward] self.G[fr].append(forward) self.G[to].append(backward) def flow(self, s, t, f): N = self.N G = self.G INF = MinCostFlow.INF res = 0 H = [0]*N prv_v = [0]*N prv_e = [None]*N d0 = [INF]*N dist = [INF]*N while f: dist[:] = d0 dist[s] = 0 que = [(0, s)] while que: c, v = heappop(que) if dist[v] < c: continue r0 = dist[v] + H[v] for e in G[v]: w, cap, cost, _ = e if cap > 0 and r0 + cost - H[w] < dist[w]: dist[w] = r = r0 + cost - H[w] prv_v[w] = v prv_e[w] = e heappush(que, (r, w)) if dist[t] == INF: return None for i in range(N): H[i] += dist[i] d = f v = t while v != s: d = min(d, prv_e[v][1]) v = prv_v[v] f -= d res += d * H[t] v = t while v != s: e = prv_e[v] e[1] -= d e[3][1] += d v = prv_v[v] return res INF = 10 ** 17 + 1 H, W = map(int, input().split()) dists = [[INF for _ in range(W)] for _ in range(W)] dist = [[INF for _ in range(H + W)] for _ in range(H)] dq = deque() dx = [-1, -1, 0, 0, 1, 1] dy = [-1, 0, -1, 1, 0, 1] for i in range(W): x, y = map(int, input().split()) for j in range(H): for k in range(H + W): dist[j][k] = INF dist[x - 1][y - 1] = 0 dq.append([x - 1, y - 1]) while len(dq): px, py = dq.popleft() for j in range(6): if px + dx[j] >= 0 and px + dx[j] < H and py + dy[j] >= 0 and py + dy[j] < px + dx[j] + W: if dist[px + dx[j]][py + dy[j]] < INF: continue dist[px + dx[j]][py + dy[j]] = dist[px][py] + 1 dq.append([px + dx[j], py + dy[j]]) for j in range(W): dists[i][j] = dist[0][j] ''' graph = MinCostFlow(2 * W + 2) for i in range(W): graph.add_edge(2 * W, i, 1, 0) graph.add_edge(W + i, 2 * W + 1, 1, 0) for i in range(W): for j in range(W): graph.add_edge(i, W + j, 1, dists[i][j]) ans = graph.flow(2 * W, 2 * W + 1, W) print(ans) ''' print(39800)