You are given a weighted undirected graph consisting of n$n$ nodes and m$m$ edges. The nodes are numbered from 1$1$ to n$n$. The graph does not contain any multiple edges or self loops.
A walk W$W$ on the graph is a sequence of vertices (with repetitions of vertices and edges allowed) such that every adjacent pair of vertices in the sequence is an edge of the graph. We define the cost of a walk W$W$, Cost(W)$Cost(W)$, as the maximum over the weights of the edges along the walk. 
You will be given q$q$ queries. In each query, you will be given an integer X$X$.

You have to count the number of different walks W$W$ of length 4$4$ such that Cost(W)$Cost(W)$ = X$X$.

Two walks are considered different if they do not represent the same edge sequence.

-----Input:-----
- First line contains 2 integers : the number of nodes n$n$ and number of edges m$m$.
- Next m$m$ lines each describe u$u$, v$v$ and w$w$, describing an edge between u$u$ and v$v$ with weight w$w$.
- Next line contains q$q$, the number of queries.
- Next q$q$ lines each describe an integer X$X$ - the cost of the walk in the query.

-----Output:-----
For each query, output in a single line the number of different possible walks.

-----Constraints-----
- 1≤n≤100$1 \leq n \leq 100$
- 1≤m≤n(n−1)2$1 \leq m \leq \frac{n (n-1)}{2}$
- 1≤u,v≤n$1 \leq u, v \leq n$
- 1≤w≤100$1 \leq w \leq 100$
- 1≤q≤100$1 \leq q \leq 100$
- 1≤X≤100$1 \leq X \leq 100$

-----Sample Input:-----
3 3
1 2 1
2 3 2
3 1 3
3
1
2
3

-----Sample Output:-----
2
10
36

-----EXPLANATION:-----
For X=2$X = 2$, all possible 10$10$ walks are listed below :
- 1 -> 2 -> 1 -> 2 -> 3
- 1 -> 2 -> 3 -> 2 -> 1
- 1 -> 2 -> 3 -> 2 -> 3
- 2 -> 1 -> 2 -> 3 -> 2
- 2 -> 3 -> 2 -> 1 -> 2
- 2 -> 3 -> 2 -> 3 -> 2
- 3 -> 2 -> 1 -> 2 -> 1
- 3 -> 2 -> 1 -> 2 -> 3
- 3 -> 2 -> 3 -> 2 -> 1
- 3 -> 2 -> 3 -> 2 -> 3

```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 = '# cook your dish here\nfrom collections import defaultdict\n\nclass sol():\n    def __init__(self,n,edges):\n        self.n = n\n        self.edges = edges\n        self.graph = self.create_graph()\n        self.precompute()\n        \n    def create_graph(self):\n        graph = defaultdict(list)\n        for e in self.edges:\n            u = e[0]\n            v = e[1]\n            w = e[2]\n            graph[u].append([v,w])\n            graph[v].append([u,w])\n        return graph\n        \n    def precompute(self):\n        self.maxiedges = [0]*6\n        self.B = [[0 for i in range(101)] for i in range(101)]\n        def func(u,v,l):\n            if l==2:\n                self.B[u][self.maxiedges[l]] += 1\n            else:\n                for j in self.graph[v]:\n                    self.maxiedges[l+1] = max(self.maxiedges[l],j[1])\n                    func(u,j[0],l+1)\n        for i in range(1,self.n+1):\n            func(i,i,0)\n            \n    def paths(self,X):\n        freq = 0\n        for u in range(1,self.n+1):\n            for x in range(X+1):\n                freq += 2*self.B[u][X]*self.B[u][x]\n            freq -= self.B[u][X]*self.B[u][X]\n        return freq\n        \nn, m = map(int, input().split())\nedges = []\nwhile m:\n    uvw = list(map(int, input().split()))\n    edges.append(uvw)\n    m -= 1\nq = int(input())\nGraph = sol(n,edges)\nwhile q:\n    query = int(input())\n    print(Graph.paths(query))\n    q -= 1\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 106835