#Dinic法で最大流を求める #deque のimport が必要 #逆辺追加しなきゃいけないから、 #グラフの構成はadd_edgeで行う #最大流は flow メソッドで from collections import deque class Dinic: def __init__(self,N): self.N = N self.G = [[] for _ in range(N)] self.edge = [] def add_edge(self,fr,to,cap): forward = [to,cap,None] forward[2] = backward = [fr,0,forward] self.G[fr].append(forward) self.G[to].append(backward) self.edge.append(forward) def add_multi_edge(self,v1,v2,cap1,cap2): edge1 = [v2,cap1,None] edge1[2] = edge2 = [v1,cap2,edge1] self.G[v1].append(edge1) self.G[v2].append(edge2) self.edge.append(edge1) def get_edge(self,i): return self.edge[i] # i 回目に追加した辺のポインタを返す # 0-index, 順辺のみ def bfs(self,s,t): self.level = level = [None] * self.N q = deque([s]) level[s] = 0 G = self.G while q: v = q.popleft() lv = level[v] + 1 for w,cap,_ in G[v]: if cap and level[w] is None: level[w] = lv q.append(w) return level[t] is not None def dfs(self, v, t, f): if v == t: return f level = self.level for e in self.it[v]: w, cap, rev = e if cap and level[v] < level[w]: d = self.dfs(w, t, min(f, cap)) if d: e[1] -= d rev[1] += d return d else: pass else: pass return 0 def flow(self, s, t): flow = 0 INF = 10**9 + 7 G = self.G while self.bfs(s, t): *self.it, = map(iter, self.G) f = INF while f: f = self.dfs(s, t, INF) flow += f return flow def min_cut(self,s): #最小カットを実現する頂点の分割を与える #True なら source側 #False なら sink側 visited = [False for i in range(self.N)] q = deque([s]) while q: now = q.popleft() visited[now] = True for to,cap,_ in self.G[now]: if cap and not visited[to]: visited[to] = True q.append(to) return visited import sys rr = sys.stdin H,W = map(int,rr.readline().split()) A = [list(map(int,rr.readline().split())) for _ in range(H)] d = [[] for _ in range(5 * 10 ** 5 + 1)] s = set() for h in range(H): for w in range(W): d[A[h][w]].append((h,w)) s.add(A[h][w]) inf = 1 << 30 ans = 0 for k in s: if k == 0:continue l = d[k] if len(l) == 1: ans += 1 continue elif len(l) == 2: if l[0][0] == l[1][0] or l[0][1] == l[1][1]: ans += 1 else: ans += 2 continue ch = set() cw = set() for h,w in l: ch.add(h) cw.add(w) rDh = sorted(ch) rDw = sorted(cw) Dh = {v:i for i,v in enumerate(rDh)} Dw = {v:i for i,v in enumerate(rDw)} n = len(Dh) + len(Dw) dinic = Dinic(n + 2) T = n + 1 base = len(Dh) for h,w in l: dinic.add_edge(Dh[h]+1,base + Dw[w] + 1,inf) for i in range(base): dinic.add_edge(0,i+1,1) for i in range(len(Dw)): dinic.add_edge(base + i + 1,T,1) ans += dinic.flow(0,T) print(ans)