Buggy python submission (verdict: Time Limit Exceeded):
h, w, m = map(int, input().split())
s = [[False] * w for _ in range(h)]
num_h = [0] * h
num_w = [0] * w
for _ in range(m):
    hi, wi = map(int, input().split())
    hi -= 1
    wi -= 1
    s[hi][wi] = True
    num_h[hi] += 1
    num_w[wi] += 1
max_h_list = []
max_h_val = 0
max_w_list = []
max_w_val = 0
for hi in range(h):
    if num_h[hi] > max_h_val:
        max_h_list = [hi]
        max_h_val = num_h[hi]
    elif num_h[hi] == max_h_val:
        max_h_list.append(hi)
for wi in range(w):
    if num_w[wi] > max_w_val:
        max_w_list = [wi]
        max_w_val = num_w[wi]
    elif num_w[wi] == max_w_val:
        max_w_list.append(wi)

if len(max_h_list) * len(max_w_list) > m:
    print(max_h_val + max_w_val)
    exit()
for max_hi in max_h_list:
    for max_wi in max_w_list:
        if s[max_hi][max_wi] == False:
            print(max_h_val + max_w_val)
            exit()
print(max_h_val + max_w_val - 1)


Fixed submission:
h, w, m = map(int, input().split())
s = dict()
num_h = [0] * h
num_w = [0] * w
for _ in range(m):
    hi, wi = map(int, input().split())
    hi -= 1
    wi -= 1
    s[(hi, wi)] = True
    num_h[hi] += 1
    num_w[wi] += 1
max_h_list = []
max_h_val = 0
max_w_list = []
max_w_val = 0
for hi in range(h):
    if num_h[hi] > max_h_val:
        max_h_list = [hi]
        max_h_val = num_h[hi]
    elif num_h[hi] == max_h_val:
        max_h_list.append(hi)
for wi in range(w):
    if num_w[wi] > max_w_val:
        max_w_list = [wi]
        max_w_val = num_w[wi]
    elif num_w[wi] == max_w_val:
        max_w_list.append(wi)

if len(max_h_list) * len(max_w_list) > m:
    print(max_h_val + max_w_val)
    exit()
for max_hi in max_h_list:
    for max_wi in max_w_list:
        if s.get((max_hi, max_wi), False) == False:
            print(max_h_val + max_w_val)
            exit()
print(max_h_val + max_w_val - 1)

Buggy python submission (verdict: Runtime Error):
h, w, m = map(int, input().split())
s = [[False] * w for _ in range(h)]
num_h = [0] * h
num_w = [0] * w
for _ in range(m):
    hi, wi = map(int, input().split())
    hi -= 1
    wi -= 1
    s[hi][wi] = True
    num_h[hi] += 1
    num_w[wi] += 1
max_h_list = []
max_h_val = 0
max_w_list = []
max_w_val = 0
for hi in range(h):
    if num_h[hi] > max_h_val:
        max_h_list = [hi]
        max_h_val = num_h[hi]
    elif num_h[hi] == max_h_val:
        max_h_list.append(hi)
for wi in range(w):
    if num_w[wi] > max_w_val:
        max_w_list = [wi]
        max_w_val = num_w[wi]
    elif num_w[wi] == max_w_val:
        max_w_list.append(wi)

for max_hi in max_h_list:
    for max_wi in max_w_list:
        if s[max_hi][max_wi] == False:
            print(max_h_val + max_w_val)
            exit()
print(max_h_val + max_w_val - 1)


Fixed submission:
h, w, m = map(int, input().split())
s = dict()
num_h = [0] * h
num_w = [0] * w
for _ in range(m):
    hi, wi = map(int, input().split())
    hi -= 1
    wi -= 1
    s[(hi, wi)] = True
    num_h[hi] += 1
    num_w[wi] += 1
max_h_list = []
max_h_val = 0
max_w_list = []
max_w_val = 0
for hi in range(h):
    if num_h[hi] > max_h_val:
        max_h_list = [hi]
        max_h_val = num_h[hi]
    elif num_h[hi] == max_h_val:
        max_h_list.append(hi)
for wi in range(w):
    if num_w[wi] > max_w_val:
        max_w_list = [wi]
        max_w_val = num_w[wi]
    elif num_w[wi] == max_w_val:
        max_w_list.append(wi)

if len(max_h_list) * len(max_w_list) > m:
    print(max_h_val + max_w_val)
    exit()
for max_hi in max_h_list:
    for max_wi in max_w_list:
        if s.get((max_hi, max_wi), False) == False:
            print(max_h_val + max_w_val)
            exit()
print(max_h_val + max_w_val - 1)

Buggy python submission (verdict: Time Limit Exceeded):
h, w, m = map(int, input().split())
s = [[False] * w for _ in range(h)]
num_h = [0] * h
num_w = [0] * w
for _ in range(m):
    hi, wi = map(int, input().split())
    hi -= 1
    wi -= 1
    s[hi][wi] = True
    num_h[hi] += 1
    num_w[wi] += 1
max_h_list = []
max_h_val = 0
max_w_list = []
max_w_val = 0
for hi in range(h):
    if num_h[hi] > max_h_val:
        max_h_list = [hi]
        max_h_val = num_h[hi]
    elif num_h[hi] == max_h_val:
        max_h_list.append(hi)
for wi in range(w):
    if num_w[wi] > max_w_val:
        max_w_list = [wi]
        max_w_val = num_w[wi]
    elif num_w[wi] == max_w_val:
        max_w_list.append(wi)

for max_hi in max_h_list:
    for max_wi in max_w_list:
        if s[max_hi][max_wi] == False:
            print(max_h_val + max_w_val)
            exit()
print(max_h_val + max_w_val - 1)


Fixed submission:
h, w, m = map(int, input().split())
s = dict()
num_h = [0] * h
num_w = [0] * w
for _ in range(m):
    hi, wi = map(int, input().split())
    hi -= 1
    wi -= 1
    s[(hi, wi)] = True
    num_h[hi] += 1
    num_w[wi] += 1
max_h_list = []
max_h_val = 0
max_w_list = []
max_w_val = 0
for hi in range(h):
    if num_h[hi] > max_h_val:
        max_h_list = [hi]
        max_h_val = num_h[hi]
    elif num_h[hi] == max_h_val:
        max_h_list.append(hi)
for wi in range(w):
    if num_w[wi] > max_w_val:
        max_w_list = [wi]
        max_w_val = num_w[wi]
    elif num_w[wi] == max_w_val:
        max_w_list.append(wi)

if len(max_h_list) * len(max_w_list) > m:
    print(max_h_val + max_w_val)
    exit()
for max_hi in max_h_list:
    for max_wi in max_w_list:
        if s.get((max_hi, max_wi), False) == False:
            print(max_h_val + max_w_val)
            exit()
print(max_h_val + max_w_val - 1)