B'Nastya received a gift on New Year -- a magic wardrobe. It is magic because in the end of each month the number of dresses in it doubles (i.e. the number of dresses becomes twice as large as it is in the beginning of the month). Unfortunately, right after the doubling the wardrobe eats one of the dresses (if any) with the 50% probability. It happens every month except the last one in the year. Nastya owns x dresses now, so she became interested in the expected number of dresses she will have in one year. Nastya lives in Byteland, so the year lasts for k xe2 x80 x89+ xe2 x80 x891 months. Nastya is really busy, so she wants you to solve this problem. You are the programmer, after all. Also, you should find the answer modulo 109 xe2 x80 x89+ xe2 x80 x897, because it is easy to see that it is always integer. The only line contains two integers x and k (0 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89x, xe2 x80 x89k xe2 x80 x89 xe2 x89 xa4 xe2 x80 x891018), where x is the initial number of dresses and k xe2 x80 x89+ xe2 x80 x891 is the number of months in a year in Byteland. In the only line print a single integer -- the expected number of dresses Nastya will own one year later modulo 109 xe2 x80 x89+ xe2 x80 x897. In the first example a year consists on only one month, so the wardrobe does not eat dresses at all. In the second example after the first month there are 3 dresses with 50% probability and 4 dresses with 50% probability. Thus, in the end of the year there are 6 dresses with 50% probability and 8 dresses with 50% probability. This way the answer for this test is (6 xe2 x80 x89+ xe2 x80 x898) xe2 x80 x89/ xe2 x80 x892 xe2 x80 x89= xe2 x80 x897. '...