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):
from numba import njit

@njit
def main():
    import collections
 
    H, W, M_ko = map(int, input().split())
 
    zahyou = [[0 for i in range(W)] for j in range(H)]
    zahyou_H = [0 for i in range(H)]
    zahyou_W = [0 for i in range(W)]
 
    for i in range(M_ko):
        height, width = map(int, input().split())
 
        zahyou[height - 1][width - 1] = 1
        
        zahyou_H[height - 1] += 1
        zahyou_W[width - 1] += 1
 
    CTR_H = collections.Counter(zahyou_H)
    CTR_W = collections.Counter(zahyou_W)
 
    max_h = max(zahyou_H)
    max_w = max(zahyou_W)
 
    len_h = CTR_H[max_h]
    len_w = CTR_W[max_w]
 
    index_h = [i for i, x in enumerate(zahyou_H) if x == max_h]
    index_w = [i for i, x in enumerate(zahyou_W) if x == max_w]
 
 
    maxi = max_h + max_w
    FLAG = False
 
 
    if (len_h == 1 and len_w == 1):    
        maxi -= zahyou[index_h[0]][index_w[0]]
 
 
    else:
        for i in range(len_h):        
            for j in range(len_w):
                val = zahyou[index_h[i]][index_w[j]]
                
                if (val == 0):
                    FLAG = True
                    break
        
        if (not FLAG):
            maxi -= 1
 
    print(maxi)
 
 
if __name__ == '__main__':
    main()

import numpy as np
import numba
import sys
from numba import njit, b1, i4, i8, f8

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines


@njit((i8, i8, i8[:]), cache=True)
def main(Height, Width, XY):
    UP = 300010
    row = np.zeros(UP, np.int64)
    col = np.zeros(UP, np.int64)
    
    for i in range(0, len(XY), 2):
        x, y = XY[i:i + 2] - 1
        row[x] += 1
        col[y] += 1
    
    row_max = row.max()
    col_max = col.max()

    judge = np.sum(row == row_max) * np.sum(col == col_max)

    for i in range(0, len(XY), 2):
        x, y = XY[i:i + 2] - 1
        
        if (row[x] == row_max and col[y] == col_max):
            judge -= 1
    
    summ = row_max * col_max
    
    return (summ if judge else summ - 1)


Height, Width, M_ko = map(int, readline().split())
XY = np.array(read().split(), np.int64)

ans = main(Height, Width, XY)
print(ans)



import numpy as np
import numba
import sys
from numba import njit, b1, i4, i8, f8

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines


@njit((i8, i8, i8[:]), cache=True)
def main(Height, Width, XY):
    UP = 300000
    row = np.zeros(UP, np.int64)
    col = np.zeros(UP, np.int64)
    
    for i in range(0, len(XY), 2):
        x, y = XY[i:i + 2] - 1
        row[x] += 1
        col[y] += 1
    
    row_max = row.max()
    col_max = col.max()

    judge = np.sum(row == row_max) * np.sum(col == col_max)

    for i in range(0, len(XY), 2):
        x, y = XY[i:i + 2] - 1
        
        if (row[x] == row_max and col[y] == col_max):
            judge -= 1
    
    summ = row_max * col_max
    
    return (summ if judge else summ - 1)


Height, Width, M_ko = map(int, readline().split())
XY = np.array(read().split(), np.int64)

ans = main(Height, Width, XY)
print(ans)



import numpy as np
import numba
import sys
from numba import njit, b1, i4, i8, f8

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines


@njit((i8, i8, i8[:]), cache=True)
def main(Height, Width, XY):
    UP = 300010
    row = np.zeros(UP, np.int64)
    col = np.zeros(UP, np.int64)
    
    for i in range(0, len(XY), 2):
        x, y = XY[i:i + 2] - 1
        row[x] += 1
        col[y] += 1
    
    row_max = row.max()
    col_max = col.max()

    judge = np.sum(row == row_max) * np.sum(col == col_max)

    for i in range(0, len(XY), 2):
        x, y = XY[i:i + 2] - 1
        
        if (row[x] == row_max and col[y] == col_max):
            judge -= 1
    
    summ = row_max + col_max
    
    return (summ if judge else summ - 1)


Height, Width, M_ko = map(int, readline().split())
XY = np.array(read().split(), np.int64)

ans = main(Height, Width, XY)
print(ans)


Verdicts: Runtime Error

Wrong Answer

Wrong Answer

Accepted