Buggy python submission (verdict: Time Limit Exceeded):
h,w,m=map(int,input().split())
xnum=[[0,i] for i in range(h)]
ynum=[[0,i] for i in range(w)]
hw=[]
xmax=[]
ymax=[]
for i in range(m):
  s,t=map(int,input().split())
  xnum[s-1][0]+=1
  ynum[t-1][0]+=1
  hw.append([s-1,t-1])
hw.sort()
xnum.sort()
ynum.sort()
xmax.append(xnum[-1][1])
ymax.append(ynum[-1][1])
for i in range(2,len(xnum)+1):
  if xnum[-1*i][0]==xnum[-1][0]:
    xmax.append(xnum[-1*i][1])
  else:
    break
for i in range(2,len(ynum)+1):
  if ynum[-1*i][0]==ynum[-1][0]:
    ymax.append(ynum[-1*i][1])
  else:
    break
flag=True
for i in xmax:
  for j in ymax:
    if [i,j] in hw:
      continue
    else:
      flag=False

if flag:
  ans=xnum[-1][0]+ynum[-1][0]-1
else:
  ans=xnum[-1][0]+ynum[-1][0]
print(ans)

Fixed submission:
import bisect
h,w,m=map(int,input().split())
xnum=[[0,i] for i in range(h)]
ynum=[[0,i] for i in range(w)]
hw=[]
xmax=[]
ymax=[]
for i in range(m):
  s,t=map(int,input().split())
  xnum[s-1][0]+=1
  ynum[t-1][0]+=1
  hw.append([s-1,t-1])
hw.sort()
xnum.sort()
ynum.sort()
xmax.append(xnum[-1][1])
ymax.append(ynum[-1][1])
for i in range(2,len(xnum)+1):
  if xnum[-1*i][0]==xnum[-1][0]:
    xmax.append(xnum[-1*i][1])
  else:
    break
for i in range(2,len(ynum)+1):
  if ynum[-1*i][0]==ynum[-1][0]:
    ymax.append(ynum[-1*i][1])
  else:
    break
flag=True
for i in xmax:
  for j in ymax:
    l=bisect.bisect_left(hw,[i,j])
    r=bisect.bisect_right(hw,[i,j])
    if [i,j] in hw[l:r]:
      continue
    else:
      flag=False
      break

if flag:
  ans=xnum[-1][0]+ynum[-1][0]-1
else:
  ans=xnum[-1][0]+ynum[-1][0]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
h,w,m=map(int,input().split())
xnum=[[0,i] for i in range(h)]
ynum=[[0,i] for i in range(w)]
hw=[]
xmax=[]
ymax=[]
for i in range(m):
  s,t=map(int,input().split())
  xnum[s-1][0]+=1
  ynum[t-1][0]+=1
  hw.append([s-1,t-1])
xnum.sort()
ynum.sort()
xmax.append(xnum[-1][1])
ymax.append(ynum[-1][1])
for i in range(2,len(xnum)+1):
  if xnum[-1*i][0]==xnum[-1][0]:
    xmax.append(xnum[-1*i][1])
  else:
    break
for i in range(2,len(ynum)+1):
  if ynum[-1*i][0]==ynum[-1][0]:
    ymax.append(ynum[-1*i][1])
  else:
    break
flag=True
for i in xmax:
  for j in ymax:
    if [i,j] in hw:
      continue
    else:
      flag=False

if flag:
  ans=xnum[-1][0]+ynum[-1][0]-1
else:
  ans=xnum[-1][0]+ynum[-1][0]
print(ans)

Fixed submission:
import bisect
h,w,m=map(int,input().split())
xnum=[[0,i] for i in range(h)]
ynum=[[0,i] for i in range(w)]
hw=[]
xmax=[]
ymax=[]
for i in range(m):
  s,t=map(int,input().split())
  xnum[s-1][0]+=1
  ynum[t-1][0]+=1
  hw.append([s-1,t-1])
hw.sort()
xnum.sort()
ynum.sort()
xmax.append(xnum[-1][1])
ymax.append(ynum[-1][1])
for i in range(2,len(xnum)+1):
  if xnum[-1*i][0]==xnum[-1][0]:
    xmax.append(xnum[-1*i][1])
  else:
    break
for i in range(2,len(ynum)+1):
  if ynum[-1*i][0]==ynum[-1][0]:
    ymax.append(ynum[-1*i][1])
  else:
    break
flag=True
for i in xmax:
  for j in ymax:
    l=bisect.bisect_left(hw,[i,j])
    r=bisect.bisect_right(hw,[i,j])
    if [i,j] in hw[l:r]:
      continue
    else:
      flag=False
      break

if flag:
  ans=xnum[-1][0]+ynum[-1][0]-1
else:
  ans=xnum[-1][0]+ynum[-1][0]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
h,w,m=map(int,input().split())
xnum=[[0,i] for i in range(h)]
ynum=[[0,i] for i in range(w)]
hw=[]
xmax=[]
ymax=[]
for i in range(m):
  s,t=map(int,input().split())
  xnum[s-1][0]+=1
  ynum[t-1][0]+=1
  hw.append([s-1,t-1])
xnum.sort()
ynum.sort()
xmax.append(xnum[-1][1])
ymax.append(ynum[-1][1])
for i in range(2,len(xnum)+1):
  if xnum[-1*i][0]==xnum[-1][0]:
    xmax.append(xnum[-1*i][1])
  else:
    break
for i in range(2,len(ynum)+1):
  if ynum[-1*i][0]==ynum[-1][0]:
    ymax.append(ynum[-1*i][1])
  else:
    break
flag=True
for i in xmax:
  for j in ymax:
    if [i,j] in hw:
      continue
    else:
      flag=False

if flag:
  ans=xnum[-1][0]+ynum[-1][0]-1
else:
  ans=xnum[-1][0]+ynum[-1][0]
print(ans)

Fixed submission:
import bisect
h,w,m=map(int,input().split())
xnum=[[0,i] for i in range(h)]
ynum=[[0,i] for i in range(w)]
hw=[]
xmax=[]
ymax=[]
for i in range(m):
  s,t=map(int,input().split())
  xnum[s-1][0]+=1
  ynum[t-1][0]+=1
  hw.append([s-1,t-1])
hw.sort()
xnum.sort()
ynum.sort()
xmax.append(xnum[-1][1])
ymax.append(ynum[-1][1])
for i in range(2,len(xnum)+1):
  if xnum[-1*i][0]==xnum[-1][0]:
    xmax.append(xnum[-1*i][1])
  else:
    break
for i in range(2,len(ynum)+1):
  if ynum[-1*i][0]==ynum[-1][0]:
    ymax.append(ynum[-1*i][1])
  else:
    break
flag=True
for i in xmax:
  for j in ymax:
    l=bisect.bisect_left(hw,[i,j])
    r=bisect.bisect_right(hw,[i,j])
    if [i,j] in hw[l:r]:
      continue
    else:
      flag=False
      break

if flag:
  ans=xnum[-1][0]+ynum[-1][0]-1
else:
  ans=xnum[-1][0]+ynum[-1][0]
print(ans)