Problem: We have a two-dimensional grid with H \times W squares. There are M targets to destroy in this grid - the position of the i-th target is \left(h_i, w_i \right).  Takahashi will choose one square in this grid, place a bomb there, and ignite it. The bomb will destroy all targets that are in the row or the column where the bomb is placed. It is possible to place the bomb at a square with a target.  Takahashi is trying to maximize the number of targets to destroy. Find the maximum number of targets that can be destroyed.

Submission attempts (in order):
import sys
h,w,m = map(int,input().split())
h_lst = [[0,i] for i in range(h)]
w_lst = [[0,i] for i in range(w)]
memo = []

for i in range(m):
  x,y = map(int,input().split())
  h_lst[x-1][0] += 1
  w_lst[y-1][0] += 1
  memo.append((x-1,y-1))

h_lst.sort(reverse = True)
w_lst.sort(reverse = True)
Max_h = h_lst[0][0]
Max_w = w_lst[0][0]
h_ans = [h_lst[0][1]]
w_ans = [w_lst[0][1]]
s = 1
while h_lst[s][0] == Max_h:
  h_ans.append(h_lst[s][1])
  s+= 1   
t=1  
while w_lst[t][0] == Max_w:
  w_ans.append(w_lst[t][1])
  t += 1
  

memo = set(memo)


for j in h_ans:
  for k in w_ans:
    if (j,k) not in memo:
      print(Max_h+Max_w)
      sys.exit()
print((Max_h+Max_w)-1)        
  



import sys
h,w,m = map(int,input().split())
h_lst = [[0,i] for i in range(h)]
w_lst = [[0,i] for i in range(w)]
memo = []

for i in range(m):
  x,y = map(int,input().split())
  h_lst[x-1][0] += 1
  w_lst[y-1][0] += 1
  memo.append((x-1,y-1))

h_lst.sort(reverse = True)
w_lst.sort(reverse = True)
Max_h = h_lst[0][0]
Max_w = w_lst[0][0]
h_ans = [h_lst[0]]
w_ans = [w_lst[0]]
s = 1
while h_lst[s][0] == Max_h:
  h_ans.append(h_lst[s])
  s+= 1   
t=1  
while w_lst[t][0] == Max_w:
  w_ans.append(w_lst[t])
  t += 1
  

memo = set(memo)


for [y,j] in h_ans:
  if y == Max_h:
    for [z,k] in w_ans:
      if (j,k) not in memo and w_lst[0][0] == z:
        print(Max_h+w_lst[0][0])
        sys.exit()
print((Max_h+w_lst[0][0])-1)        
  



import sys
h,w,m = map(int,input().split())
h_lst = [[0,i] for i in range(h)]
w_lst = [[0,i] for i in range(w)]
memo = []

for i in range(m):
  x,y = map(int,input().split())
  h_lst[x-1][0] += 1
  w_lst[y-1][0] += 1
  memo.append((x-1,y-1))

h_lst.sort(reverse = True)
w_lst.sort(reverse = True)
Max_h = h_lst[0][0]
Max_w = w_lst[0][0]
h_ans = [h_lst[0][1]]
w_ans = [w_lst[0][1]]
if h != 1:
  s = 1
  while h_lst[s][0] == Max_h:
    h_ans.append(h_lst[s][1])
    s+= 1  
if w!= 1:  
  t=1  
  while w_lst[t][0] == Max_w:
    w_ans.append(w_lst[t][1])
    t += 1
  

memo = set(memo)


for j in h_ans:
  for k in w_ans:
    if (j,k) not in memo:
      print(Max_h+Max_w)
      sys.exit()
print((Max_h+Max_w)-1)        
  



import sys
h,w,m = map(int,input().split())
h_lst = [[0,i] for i in range(h)]
w_lst = [[0,i] for i in range(w)]
memo = []

for i in range(m):
  x,y = map(int,input().split())
  h_lst[x-1][0] += 1
  w_lst[y-1][0] += 1
  memo.append((x-1,y-1))

h_lst.sort(reverse = True)
w_lst.sort(reverse = True)
Max_h = h_lst[0][0]
Max_w = w_lst[0][0]
h_ans = [h_lst[0][1]]
w_ans = [w_lst[0][1]]
if h != 1:
  s = 1
  while s < h and h_lst[s][0] == Max_h:
    h_ans.append(h_lst[s][1])
    s+= 1  
if w!= 1:  
  t=1  
  while t < w and w_lst[t][0] == Max_w:
    w_ans.append(w_lst[t][1])
    t += 1
  

memo = set(memo)


for j in h_ans:
  for k in w_ans:
    if (j,k) not in memo:
      print(Max_h+Max_w)
      sys.exit()
print((Max_h+Max_w)-1)        
  



Verdicts: Runtime Error

Runtime Error

Runtime Error

Accepted