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src/main/elixir/g0001_0100/s0064_minimum_path_sum/Solution.ex
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# #Medium #Top_100_Liked_Questions #Array #Dynamic_Programming #Matrix | ||
# #Dynamic_Programming_I_Day_16 #Udemy_Dynamic_Programming #Big_O_Time_O(m*n)_Space_O(m*n) | ||
# #2024_08_02_Time_285_ms_(100.00%)_Space_79.9_MB_(100.00%) | ||
# #2025_01_22_Time_3_(100.00%)_Space_89.73_(100.00%) | ||
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defmodule Solution do | ||
@spec min_path_sum(grid :: [[integer]]) :: integer | ||
def min_path_sum(grid) do | ||
traverse(grid, [0 | List.duplicate(20000, 199)]) | ||
end | ||
@spec min_path_sum(grid :: [[integer]]) :: integer | ||
def min_path_sum(grid) do | ||
grid_width = length(hd(grid)) # Determine the number of columns in the grid | ||
traverse(grid, [0 | List.duplicate(:infinity, grid_width - 1)]) | ||
end | ||
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defp traverse([], prev_row), do: Enum.at(prev_row, -1) | ||
defp traverse([[first | row] | rows], [prev_row_head | prev_row]) do | ||
prev_row = traverse_row(row, prev_row, [first + prev_row_head]) | ||
traverse(rows, prev_row) | ||
end | ||
defp traverse([], prev_row), do: Enum.at(prev_row, -1) | ||
defp traverse([[first | row] | rows], [prev_row_head | prev_row]) do | ||
prev_row = traverse_row(row, prev_row, [first + prev_row_head]) | ||
traverse(rows, prev_row) | ||
end | ||
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defp traverse_row([], _prev_row, acc), do: Enum.reverse(acc) | ||
defp traverse_row([head | tail], [top | prev_row], [prev | _rest] = acc) do | ||
traverse_row(tail, prev_row, [head + min(prev, top) | acc]) | ||
end | ||
defp traverse_row([], _prev_row, acc), do: Enum.reverse(acc) | ||
defp traverse_row([head | tail], [top | prev_row], [prev | _rest] = acc) do | ||
traverse_row(tail, prev_row, [head + min(prev, top) | acc]) | ||
end | ||
end |