from collections import defaultdict,deque import sys sys.setrecursionlimit(10**7) import pypyjit pypyjit.set_param("max_unroll_recursion=-1") class Dinic: def __init__(self, n): """n点ネットワークの構築""" self.n = n self.links = [[] for _ in range(n)] self.depth = None self.progress = None def add_link(self, _from, to, cap): """フローが流れてない状態での辺の追加""" self.links[_from].append([cap, to, len(self.links[to])]) self.links[to].append([0, _from, len(self.links[_from]) - 1]) def bfs(self, s): """sからtへの残余ネットワーク上での最短距離""" depth = [-1] * self.n depth[s] = 0 q = deque([s]) while q: v = q.popleft() for cap, to, rev in self.links[v]: if cap > 0 and depth[to] < 0: depth[to] = depth[v] + 1 q.append(to) self.depth = depth def dfs(self, v, t, flow): """増大道の探索""" if v == t: return flow for i in range(self.progress[v], len(self.links[v])): self.progress[v] = i cap, to, rev = self.links[v][i] if cap == 0 or self.depth[v] >= self.depth[to]: continue d = self.dfs(to, t, min(flow, cap)) if d == 0: continue # 残余ネットワークの更新 self.links[v][i][0] -= d self.links[to][rev][0] += d return d return 0 def max_flow(self, s, t): """最大フローを求める""" flow = 0 while True: # tに到達できるか self.bfs(s) if self.depth[t] < 0: return flow self.progress = [0] * self.n current_flow = self.dfs(s, t, float('inf')) while current_flow > 0: flow += current_flow current_flow = self.dfs(s, t, float('inf')) H,W = map(int, input().split()) A = [list(map(int,input().split())) for _ in range(H)] d = defaultdict(list) for i in range(H): for j in range(W): d[A[i][j]].append([i,j]) res = 0 for num in d.keys(): X = set() Y = set() for x,y in d[num]: X.add(x);Y.add(y) X = {num:i for i,num in enumerate(sorted(list(X)))} Y = {num:i+len(X) for i,num in enumerate(sorted(list(Y)))} mf = Dinic(len(X)+len(Y)+2) for x in X: mf.add_link(len(X)+len(Y),X[x],1) for y in Y: mf.add_link(Y[y],len(X)+len(Y)+1,1) for x,y in d[num]: mf.add_link(X[x],Y[y],1) res += mf.max_flow(len(X)+len(Y),len(X)+len(Y)+1) print(res)