One day two students, Grisha and Diana, found themselves in the university chemistry lab. In the lab the students found n test tubes with mercury numbered from 1 to n and decided to conduct an experiment. The experiment consists of q steps. On each step, one of the following actions occurs: Unfortunately, the calculations proved to be too complex and the students asked you to help them. Help them conduct the described experiment. The first line contains two integers n and q (1 ≤ n, q ≤ 105) -- the number of tubes ans the number of experiment steps. The next line contains n space-separated integers: h1, h2, ..., hn (0 ≤ hi ≤ 109), where hi is the volume of mercury in the і-th tube at the beginning of the experiment. The next q lines contain the game actions in the following format: It is guaranteed that there is at least one action of the second type. It is guaranteed that all numbers that describe the experiment are integers. For each action of the second type print the calculated value. The answer will be considered correct if its relative or absolute error doesn't exceed 10 - 4.