def it_works_with_down_paths(self):
grid = [
[1, 2],
[1, 1],
]
result = min_path_sum(grid)
assert result == 3
def it_finds_the_correct_result(self):
grid = [
[0, 1, 2, 3],
[1, 8, 3, 4],
[2, 3, 4, 5],
[7, 4, 5, 6],
]
result = min_path_sum(grid)
assert result == 21
def it_finds_the_correct_result_for_large_grids(self):
grid = [
[7, 1, 3, 5, 8, 9, 9, 2, 1, 9, 0, 8, 3, 1, 6, 6, 9, 5],
[9, 5, 9, 4, 0, 4, 8, 8, 9, 5, 7, 3, 6, 6, 6, 9, 1, 6],
[8, 2, 9, 1, 3, 1, 9, 7, 2, 5, 3, 1, 2, 4, 8, 2, 8, 8],
[6, 7, 9, 8, 4, 8, 3, 0, 4, 0, 9, 6, 6, 0, 0, 5, 1, 4],
[7, 1, 3, 1, 8, 8, 3, 1, 2, 1, 5, 0, 2, 1, 9, 1, 1, 4],
[9, 5, 4, 3, 5, 6, 1, 3, 6, 4, 9, 7, 0, 8, 0, 3, 9, 9],
[1, 4, 2, 5, 8, 7, 7, 0, 0, 7, 1, 2, 1, 2, 7, 7, 7, 4],
[3, 9, 7, 9, 5, 8, 9, 5, 6, 9, 8, 8, 0, 1, 4, 2, 8, 2],
[1, 5, 2, 2, 2, 5, 6, 3, 9, 3, 1, 7, 9, 6, 8, 6, 8, 3],
[5, 7, 8, 3, 8, 8, 3, 9, 9, 8, 1, 9, 2, 5, 4, 7, 7, 7],
[2, 3, 2, 4, 8, 5, 1, 7, 2, 9, 5, 2, 4, 2, 9, 2, 8, 7],
[0, 1, 6, 1, 1, 0, 0, 6, 5, 4, 3, 4, 3, 7, 9, 6, 1, 9],
]
result = min_path_sum(grid)
assert result == 155
def it_works_with_single_element_grid(self):
assert min_path_sum([[0]]) == 0