Description: There are n cities in Cyberland, numbered from 1 to n, connected by m bidirectional roads. The j-th road connects city aj and bj. For tourists, souvenirs are sold in every city of Cyberland. In particular, city i sell it at a price of wi. Now there are q queries for you to handle. There are two types of queries: - "C a w": The price in city a is changed to w. - "A a b": Now a tourist will travel from city a to b. He will choose a route, he also doesn't want to visit a city twice. He will buy souvenirs at the city where the souvenirs are the cheapest (possibly exactly at city a or b). You should output the minimum possible price that he can buy the souvenirs during his travel. More formally, we can define routes as follow: - A route is a sequence of cities [x1, x2, ..., xk], where k is a certain positive integer. - For any 1 ≤ i < j ≤ k, xi ≠ xj. - For any 1 ≤ i < k, there is a road connecting xi and xi + 1. - The minimum price of the route is min(wx1, wx2, ..., wxk). - The required answer is the minimum value of the minimum prices of all valid routes from a to b. Input Format: The first line of input contains three integers n, m, q (1 ≤ n, m, q ≤ 105), separated by a single space. Next n lines contain integers wi (1 ≤ wi ≤ 109). Next m lines contain pairs of space-separated integers aj and bj (1 ≤ aj, bj ≤ n, aj ≠ bj). It is guaranteed that there is at most one road connecting the same pair of cities. There is always at least one valid route between any two cities. Next q lines each describe a query. The format is "C a w" or "A a b" (1 ≤ a, b ≤ n, 1 ≤ w ≤ 109). Output Format: For each query of type "A", output the corresponding answer. Note: For the second sample, an optimal routes are: From 2 to 3 it is [2, 3]. From 6 to 4 it is [6, 5, 1, 2, 4]. From 6 to 7 it is [6, 5, 7]. From 3 to 3 it is [3].