import random
from typing import List

def generate_min_path_sum_case(rows: int = 5, cols: int = 5, min_val: int = 1, max_val: int = 20) -> List[List[int]]:
    """
    Generates a rows x cols grid with random integers.
    """
    return [[random.randint(min_val, max_val) for _ in range(cols)] for _ in range(rows)]