import heapq def solve(n, m, graph, abc): for i in range(n): abc[i].sort(reverse = True) def check(x): #A = x, B = 1, C = 1で突破できる? a = x b = 1 c = 1 q = [] good = [False] * n visit = [False] * n if sum(abc[0]) >= a + b + c: return False b = abc[0][0] good[0] = True visit[0] = True for to in graph[0]: visit[to] = True heapq.heappush(q, (sum(abc[to]), to)) if not q: return False else: c = max(c, abc[0][1]) while q: nowsum, now = heapq.heappop(q) if nowsum < a + b + c: good[now] = True if b > c: b, c = c, b b = max(b, abc[now][0]) c = max(c, abc[now][1]) for to in graph[now]: if not visit[to]: visit[to] = True heapq.heappush(q, (sum(abc[to]), to)) if good[n - 1]: return True else: return False ok = 3 * 10 ** 9 ng = 1 while abs(ok - ng) > 1: mid = (ok + ng) // 2 if check(mid): ok = mid else: ng = mid return ok, 1, 1 n, m = map(int,input().split()) graph = [[] for _ in range(n)] for _ in range(m): u, v = map(int,input().split()) u -= 1 v -= 1 graph[u].append(v) graph[v].append(u) abc = [list(map(int,input().split())) for _ in range(n)] print(*solve(n, m, graph, abc))