Alex decided to go on a touristic trip over the country.

For simplicity let's assume that the country has $n$ cities and $m$ bidirectional roads connecting them. Alex lives in city $s$ and initially located in it. To compare different cities Alex assigned each city a score $w_i$ which is as high as interesting city seems to Alex.

Alex believes that his trip will be interesting only if he will not use any road twice in a row. That is if Alex came to city $v$ from city $u$, he may choose as the next city in the trip any city connected with $v$ by the road, except for the city $u$.

Your task is to help Alex plan his city in a way that maximizes total score over all cities he visited. Note that for each city its score is counted at most once, even if Alex been there several times during his trip.


-----Input-----

First line of input contains two integers $n$ and $m$, ($1 \le n \le 2 \cdot 10^5$, $0 \le m \le 2 \cdot 10^5$) which are numbers of cities and roads in the country.

Second line contains $n$ integers $w_1, w_2, \ldots, w_n$ ($0 \le w_i \le 10^9$) which are scores of all cities.

The following $m$ lines contain description of the roads. Each of these $m$ lines contains two integers $u$ and $v$ ($1 \le u, v \le n$) which are cities connected by this road.

It is guaranteed that there is at most one direct road between any two cities, no city is connected to itself by the road and, finally, it is possible to go from any city to any other one using only roads.

The last line contains single integer $s$ ($1 \le s \le n$), which is the number of the initial city.


-----Output-----

Output single integer which is the maximum possible sum of scores of visited cities.


-----Examples-----
Input
5 7
2 2 8 6 9
1 2
1 3
2 4
3 2
4 5
2 5
1 5
2

Output
27

Input
10 12
1 7 1 9 3 3 6 30 1 10
1 2
1 3
3 5
5 7
2 3
5 4
6 9
4 6
3 7
6 8
9 4
9 10
6

Output
61

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'from collections import defaultdict\n\ndef get_neighbors(edges):\n    neighbors = defaultdict(set, {})\n    for v1, v2 in edges:\n        neighbors[v1].add(v2)\n        neighbors[v2].add(v1)\n\n    return dict(neighbors)\n\n\ndef get_component(neighbors_map, root):\n    if root not in neighbors_map:\n        return {root}\n\n    horizon = set(neighbors_map[root])\n    component = {root}\n\n    while horizon:\n        new_node = horizon.pop()\n        if new_node in component:\n            continue\n\n        component.add(new_node)\n        new_neighbors = neighbors_map[new_node].difference(component)\n        horizon |= new_neighbors\n\n    return component\n\n\ndef fn(weights, edges, root):\n    neihgbors_map = get_neighbors(edges)\n    if root not in neihgbors_map:\n        return weights[root]\n\n    first_component = get_component(neihgbors_map, root)\n\n    neihgbors_map = {k: v for k, v in list(neihgbors_map.items()) if k in first_component}\n    degrees = {}\n    leaves = []\n    for n, neigh in list(neihgbors_map.items()):\n        degrees[n] = len(neigh)\n        if len(neigh) == 1 and n != root:\n            leaves.append(n)\n\n    extra_values = defaultdict(int, {})\n    max_extra = 0\n    removed_set = set()\n    while leaves:\n        leaf = leaves.pop()\n        value = weights[leaf] + extra_values[leaf]\n        parent = neihgbors_map.pop(leaf).pop()\n        neihgbors_map[parent].remove(leaf)\n        degrees[parent] -= 1\n        if degrees[parent] == 1 and parent != root:\n            leaves.append(parent)\n\n        mm = max(extra_values[parent], value)\n        extra_values[parent] = mm\n        max_extra = max(mm, max_extra)\n        removed_set.add(leaf)\n\n    return sum(weights[n] for n in neihgbors_map) + max_extra\n\ndef print_answer(source):\n    n, m = list(map(int, source().split()))\n    weights = list(map(int, source().split()))\n    edges = [[int(k) - 1 for k in source().split()] for _ in range(m)]\n    root = int(source()) - 1\n\n    print(fn(weights, edges, root))\n\nprint_answer(input)\n\nif False:\n    from string_source import string_source\n\n    print_answer(string_source("""3 2\n1 1335 2\n2 1\n3 2\n2"""))\n\n    from string_source import string_source\n    print_answer(string_source("""1 0\n1000000000\n1"""))\n\n    print_answer(string_source("""10 12\n    1 7 1 9 3 3 6 30 1 10\n    1 2\n    1 3\n    3 5\n    5 7\n    2 3\n    5 4\n    6 9\n    4 6\n    3 7\n    6 8\n    9 4\n    9 10\n    6"""))\n\n    print_answer(string_source(\n            """5 7\n    2 2 8 6 9\n    1 2\n    1 3\n    2 4\n    3 2\n    4 5\n    2 5\n    1 5\n    2"""))\n\n    source = string_source("""3 2\n1 1335 2\n2 1\n3 2\n2""")\n    n, m = list(map(int, source().split()))\n    weights = list(map(int, source().split()))\n    edges = [[int(k) - 1 for k in source().split()] for _ in range(m)]\n    root = int(source())\n\n    fn(weights, edges, root)\n\n    from graphviz import Graph\n\n    dot = Graph(format="png", name="xx", filename=f"_files/temp/graph.png")\n\n    for idx, w in enumerate(weights):\n        dot.node(str(idx), label=f"{idx} - {w}")\n\n    for s,e in edges:\n        dot.edge(str(s),str(e))\n\n    dot.view(cleanup=True)\n\n    sum(weights)\n\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 14599