We have a two dimensional matrix A
where each value is 0
or 1
.
A move consists of choosing any row or column, and toggling each value in that row or column: changing all 0
s to 1
s, and all 1
s to 0
s.
After making any number of moves, every row of this matrix is interpreted as a binary number, and the score of the matrix is the sum of these numbers.
Return the highest possible score.
Input: [[0,0,1,1],[1,0,1,0],[1,1,0,0]] Output: 39 Explanation: Toggled to [[1,1,1,1],[1,0,0,1],[1,1,1,1]]. 0b1111 + 0b1001 + 0b1111 = 15 + 9 + 15 = 39
1 <= A.length <= 20
1 <= A[0].length <= 20
A[i][j]
is0
or1
.
impl Solution {
pub fn matrix_score(a: Vec<Vec<i32>>) -> i32 {
let m = a.len();
let n = a[0].len();
let mut ret = 0;
for c in 0..n {
let mut zeros = 0;
for r in 0..m {
zeros += a[r][0] ^ a[r][c];
}
ret += zeros.max(m as i32 - zeros) * (1 << (a[0].len() - 1 - c));
}
ret
}
}