Buggy python submission (verdict: Time Limit Exceeded):
import itertools
H, W, M = map(int, input().split())
row=[0]*H
col=[0]*W

mat=[[0 for i in range(W)] for j in range(H)]

for i in range(M):
  h, w = map(int, input().split())
  h-=1
  w-=1
  row[h]+=1
  col[w]+=1
  mat[h][w]+=1

r=max(row)
c=max(col)

rr=[i for i in range(H) if row[i]==r]
cc=[i for i in range(W) if col[i]==c]

x=min([min([mat[i][j] for j in cc]) for i in rr])

if x==0:
  print(r+c)
else:
  print(r+c-1)

Fixed submission:
H, W, M = map(int, input().split())
row=[0]*H
col=[0]*W

mat=[]

for i in range(M):
  h, w = map(int, input().split())
  row[h-1]+=1
  col[w-1]+=1
  mat.append((h-1,w-1))
  
r=max(row)
c=max(col)

rr=[1 if row[i]==r else 0 for i in range(H)]
cc=[1 if col[i]==c else 0 for i in range(W)]

x=0
for k in mat:
  if rr[k[0]]==1 and cc[k[1]]==1:
    x+=1

if sum(rr)*sum(cc)==x:
  print(r+c-1)
else:
  print(r+c)

Buggy python submission (verdict: Time Limit Exceeded):
import itertools
H, W, M = map(int, input().split())
row=[0]*H
col=[0]*W

mat=[[0 for i in range(W)] for j in range(H)]

for i in range(M):
  h, w = map(int, input().split())
  h-=1
  w-=1
  row[h]+=1
  col[w]+=1
  mat[h][w]+=1

r=max(row)
c=max(col)

rr=[i for i in range(H) if row[i]==r]
cc=[i for i in range(W) if col[i]==c]

x=min(list(itertools.chain.from_iterable([[mat[i][j] for j in cc] for i in rr])))

if x==0:
  print(r+c)
else:
  print(r+c-1)

Fixed submission:
H, W, M = map(int, input().split())
row=[0]*H
col=[0]*W

mat=[]

for i in range(M):
  h, w = map(int, input().split())
  row[h-1]+=1
  col[w-1]+=1
  mat.append((h-1,w-1))
  
r=max(row)
c=max(col)

rr=[1 if row[i]==r else 0 for i in range(H)]
cc=[1 if col[i]==c else 0 for i in range(W)]

x=0
for k in mat:
  if rr[k[0]]==1 and cc[k[1]]==1:
    x+=1

if sum(rr)*sum(cc)==x:
  print(r+c-1)
else:
  print(r+c)

Buggy python submission (verdict: Time Limit Exceeded):
H, W, M = map(int, input().split())
row=[0]*H
col=[0]*W

mat=[[0 for i in range(W)] for j in range(H)]

for i in range(M):
  h, w = map(int, input().split())
  h-=1
  w-=1
  row[h]+=1
  col[w]+=1
  mat[h][w]+=1

r=max(row)
c=max(col)

rr=[i for i in range(H) if row[i]==r]
cc=[i for i in range(W) if col[i]==c]

x=sum([sum([mat[i][j] for j in cc]) for i in rr])

if x==len(rr)*len(cc):
  print(r+c-1)
else:
  print(r+c)

Fixed submission:
H, W, M = map(int, input().split())
row=[0]*H
col=[0]*W

mat=[]

for i in range(M):
  h, w = map(int, input().split())
  row[h-1]+=1
  col[w-1]+=1
  mat.append((h-1,w-1))
  
r=max(row)
c=max(col)

rr=[1 if row[i]==r else 0 for i in range(H)]
cc=[1 if col[i]==c else 0 for i in range(W)]

x=0
for k in mat:
  if rr[k[0]]==1 and cc[k[1]]==1:
    x+=1

if sum(rr)*sum(cc)==x:
  print(r+c-1)
else:
  print(r+c)

Buggy python submission (verdict: Time Limit Exceeded):
H, W, M = map(int, input().split())
row=[0]*H
col=[0]*W

mat=[[0 for i in range(W)] for j in range(H)]

for i in range(M):
  h, w = map(int, input().split())
  h-=1
  w-=1
  row[h]+=1
  col[w]+=1
  mat[h][w]+=1

r=max(row)
c=max(col)

rr=[i for i in range(H) if row[i]==r]
cc=[i for i in range(W) if col[i]==c]

for i in rr:
  for j in cc:
    if mat[i][j]==0:
      print(r+c)
      exit()

print(r+c-1)

Fixed submission:
H, W, M = map(int, input().split())
row=[0]*H
col=[0]*W

mat=[]

for i in range(M):
  h, w = map(int, input().split())
  row[h-1]+=1
  col[w-1]+=1
  mat.append((h-1,w-1))
  
r=max(row)
c=max(col)

rr=[1 if row[i]==r else 0 for i in range(H)]
cc=[1 if col[i]==c else 0 for i in range(W)]

x=0
for k in mat:
  if rr[k[0]]==1 and cc[k[1]]==1:
    x+=1

if sum(rr)*sum(cc)==x:
  print(r+c-1)
else:
  print(r+c)

Buggy python submission (verdict: Time Limit Exceeded):
H, W, M = map(int, input().split())
row=[0]*H
col=[0]*W

mat=[[0 for i in range(W)] for j in range(H)]

for i in range(M):
  h, w = map(int, input().split())
  h-=1
  w-=1
  row[h]+=1
  col[w]+=1
  mat[h][w]+=1

r=max(row)
c=max(col)

rr=[i for i in range(H) if row[i]==r]
cc=[i for i in range(W) if col[i]==c]

for i in rr:
  for j in cc:
    if mat[i][j]==0:
      print(r+c)
      exit()

print(r+c-1)

Fixed submission:
H, W, M = map(int, input().split())
row=[0]*H
col=[0]*W

mat=[]

for i in range(M):
  h, w = map(int, input().split())
  row[h-1]+=1
  col[w-1]+=1
  mat.append((h-1,w-1))
  
r=max(row)
c=max(col)

rr=[1 if row[i]==r else 0 for i in range(H)]
cc=[1 if col[i]==c else 0 for i in range(W)]

x=0
for k in mat:
  if rr[k[0]]==1 and cc[k[1]]==1:
    x+=1

if sum(rr)*sum(cc)==x:
  print(r+c-1)
else:
  print(r+c)