Lamian is a chinese noodle made by repeatedly folding and stretching dough to make noodles of varying thickness. a ball of dough is rolled into a long "rope" 222 centimeters (\text{cm})(cm)left parenthesis, start text, c, m, end text, right parenthesis in diameter. one end of the dough is held in each hand, and the dough is stretched and folded, making 222 separate strands. this process is repeated until the strands are the desired thickness. assume that each time the dough is stretched, the thickness of each noodle decreases by 30\%30%30, percent. how many folds will be needed to produce noodles whose thickness is at most 0.5\,\text{cm}0.5cm0, point, 5, start text, c, m, end text?