In how many ways can you tile a 2×n rectangle by 2×1 or 2×2 tiles? Here is a sample tiling of a 2 × 17 rectangle. Input Input is a sequence of lines, each line containing an integer number 0 ≤ n ≤ 250. Output For each line of input, output one integer number in a separate line giving the number of possible tilings of a 2 × n rectangle. Sample Input 2 8 12 100 200 Sample Output 3 171 2731 845100400152152934331135470251 1071292029505993517027974728227441735014801995855195223534251