LeetCode 3426: Manhattan Distances of All Arrangements of Pieces Solution
Master LeetCode problem 3426 (Manhattan Distances of All Arrangements of Pieces), a hard challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.
3426. Manhattan Distances of All Arrangements of Pieces
Problem Explanation
Explanation:
To solve this problem, we need to find the total Manhattan distance between every pair of pieces in all valid arrangements on a grid. We can achieve this by considering each pair of cells in the grid and calculating the Manhattan distance between them. Then we need to count how many times each distance occurs across all valid arrangements.
- Calculate all possible Manhattan distances between pairs of cells.
- Count the frequency of each unique Manhattan distance.
- Sum up the total Manhattan distance across all valid arrangements.
:
Solution Code
class Solution {
public int countArrange(int m, int n, int k) {
long MOD = 1000000007;
long ans = 0;
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
for (int x = 0; x < m; x++) {
for (int y = 0; y < n; y++) {
int d = Math.abs(i - x) + Math.abs(j - y);
ans = (ans + d) % MOD;
}
}
}
}
return (int) (ans * k % MOD);
}
}Try It Yourself
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