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certainly! the problem "shift 2d grid" (leetcode 1260) involves shifting a 2d grid of integers either to the right or down, depending on the specified number of positions. below, i’ll provide a detailed explanation of the problem, along with a python solution and a step-by-step breakdown.
problem statement
you are given a 2d grid with `m` rows and `n` columns, and an integer `k`. the task is to shift the grid to the right by `k` positions. when the shift happens, the elements that are shifted out of the grid on the right appear on the left side of the grid in the same row.
for example, if you have the grid:
and you shift it right by `1`, the resulting grid will be:
steps to solve the problem
1. *understand the shift logic:* when you shift the grid, the last elements of the last row will wrap around to the front of the grid.
2. *calculate total elements:* the total number of elements in the grid is `m * n`. when shifting, the effective number of shifts can be reduced using `k % (m * n)` to avoid unnecessary full rotations.
3. *flatten the grid:* convert the 2d grid into a 1d list to make manipulation easier.
4. *perform the shift:* create a new list that starts from the end of the flattened list and wraps around to the start based on the shift count.
5. *rebuild the 2d grid:* convert the shifted 1d list back into the original 2d grid format.
python solution
here's a python function that implements the above logic:
explanation of the code
1. *input check:* first, the function checks if the grid is empty.
2. *dimension calculation:* it calculates the dimensions of the grid (`m` and `n`) and the total number of elements.
3. *effective shifts calculation:* it reduces `k` using modulo to avoid unnecessary full rotations.
4. *flattening the grid:* it flattens the 2d grid into a 1d list using `sum(grid, [])`.
5. *shifting logic:* the new flattened list is created by slicing the original list based on the shift amount `k`. the ...
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Shift 2D grid
LeetCode
Python
array manipulation
grid transformation
matrix shifting
problem-solving
coding challenge
list comprehension
algorithm design
data structures
Python solutions
2D array
cyclic shift
programming interview
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