A rabbit Taro decided to hold a party and invite some friends as guests. He has n rabbit friends, and m pairs of rabbits are also friends with each other. Friendliness of each pair is expressed with a positive integer. If two rabbits are not friends, their friendliness is assumed to be 0.

When a rabbit is invited to the party, his satisfaction score is defined as the minimal friendliness with any other guests. The satisfaction of the party itself is defined as the sum of satisfaction score for all the guests.

To maximize satisfaction scores for the party, who should Taro invite? Write a program to calculate the maximal possible satisfaction score for the party.



Input

The first line of the input contains two integers, n and m (1 \leq n \leq 100, 0 \leq m \leq 100). The rabbits are numbered from 1 to n.

Each of the following m lines has three integers, u, v and f. u and v (1 \leq u, v \leq n, u \neq v, 1 \leq f \leq 1,000,000) stands for the rabbits' number, and f stands for their friendliness.

You may assume that the friendliness of a pair of rabbits will be given at most once.

Output

Output the maximal possible satisfaction score of the party in a line.

Examples

Input

3 3
1 2 3
2 3 1
3 1 2


Output

6


Input

2 1
1 2 5


Output

10


Input

1 0


Output

0


Input

4 5
1 2 4
1 3 3
2 3 7
2 4 5
3 4 6


Output

16
#include<stdio.h>
#include <iostream>
#include <math.h>
#include <numeric>
#include <vector>
#include <map>
#include <functional>
#include <stdio.h>
#include <array>
#include <algorithm>
#include <string>
#include <string.h>
#include <assert.h>
#include <stdio.h>
#include <queue>
#include<iomanip>
#include<bitset>
#include<stack>
#include<set>
#include<limits>
#include <complex>
using namespace std;


const int mod = 1000000007;
struct Mod {
public:
	int num;
	Mod() : num(0) { ; }
	Mod(long long int n) : num((n % mod + mod) % mod) { ; }
	Mod(int n) : num((n % mod + mod) % mod) { ; }
	operator int() { return num; }
};

Mod operator+(const Mod a, const Mod b) { return Mod((a.num + b.num) % mod); }
Mod operator+(const long long int a, const Mod b) { return Mod(a) + b; }
Mod operator++(Mod &a) { return a + Mod(1); }
Mod operator-(const Mod a, const Mod b) { return Mod((mod + a.num - b.num) % mod); }
Mod operator-(const long long int a, const Mod b) { return Mod(a) - b; }
Mod operator--(Mod &a) { return a - Mod(1); }
Mod operator*(const Mod a, const Mod b) { return Mod(((long long)a.num * b.num) % mod); }
Mod operator*(const long long int a, const Mod b) { return Mod(a)*b; }
Mod operator+=(Mod &a, const Mod b) { return a = a + b; }
Mod operator+=(long long int &a, const Mod b) { return a = a + b; }
Mod operator-=(Mod &a, const Mod b) { return a = a - b; }
Mod operator-=(long long int &a, const Mod b) { return a = a - b; }
Mod operator*=(Mod &a, const Mod b) { return a = a * b; }
Mod operator*=(long long int &a, const Mod b) { return a = a * b; }
Mod operator^(const Mod a, const int n) {
	if (n == 0) return Mod(1);
	Mod res = (a * a) ^ (n / 2);
	if (n % 2) res = res * a;
	return res;
}
Mod inv(const Mod a) { return a ^ (mod - 2); }
Mod operator/(const Mod a, const Mod b) {
	assert(b.num != 0);
	return a * inv(b);
}
Mod operator/(const long long int a, const Mod b) {
	assert(b.num != 0);
	return Mod(a) * inv(b);
}
Mod operator/=(Mod &a, const Mod b) {
	assert(b.num != 0);
	return a = a * inv(b);
}

#define MAX_N 1024000

Mod fact[MAX_N], factinv[MAX_N];
void init() {
	fact[0] = Mod(1); factinv[0] = 1;
	for (int i = 0; i < MAX_N - 1; ++i) {
		fact[i + 1] = fact[i] * Mod(i + 1);
		factinv[i + 1] = factinv[i] / Mod(i + 1);
	}
}
Mod comb(const int a, const int b) {
	return fact[a] * factinv[b] * factinv[a - b];
}


template<typename T>
vector<vector<T>> keisann(const vector<vector<T>>l, const vector<vector<T>>r) {
	vector<vector<T>>ans(l.size(), vector<T>(r[0].size()));
	assert(l[0].size() == r.size());
	for (unsigned int h = 0; h < l.size(); ++h) {
		for (unsigned int i = 0; i < r.size(); ++i) {
			for (unsigned int w = 0; w < r[0].size(); ++w) {

				ans[h][w] += l[h][i] * r[i][w];
			}
		}
	}
	return ans;
}
template<typename T>
vector<vector<T>>powgyou(vector<vector<T>>a, const long long int n) {
	assert(a.size() == a[0].size());
	if (!n) {
		vector<vector<T>>e(a.size(), vector<T>(a[0].size()));
		for (unsigned int i = 0; i < a.size(); ++i) {
			e[i][i] = 1;
		}
		return e;
	}
	if (n == 1)return a;
	else {
		vector<vector<T>>ans(a.size(), vector<T>(a[0].size(), 0));
		ans = powgyou(a, n / 2);
		ans = keisann(ans, ans);
		if (n % 2) {
			ans = keisann(ans, a);
		}
		return ans;
	}
}

#define REP(i,n) for(int i=0;i<(int)n;++i)
#define FOR(i,c) for(auto i=(c).begin();i!=(c).end();++i)
#define ALL(c) (c).begin(), (c).end()

const int INF = 2147483647;
const long long int L_INF = 9223372036854775807;

typedef int Weight;
struct Edge {
	int src, dst;
	Weight weight;
	Edge(int src, int dst, Weight weight) :
		src(src), dst(dst), weight(weight) { }
};
bool operator < (const Edge &e, const Edge &f) {
	return e.weight != f.weight ? e.weight > f.weight : // !!INVERSE!!
	e.src != f.src ? e.src < f.src : e.dst < f.dst;
}
typedef vector<Edge> Edges;
typedef vector<Edges> Graph;

typedef vector<Weight> Array;
typedef vector<Array> Matrix;
#define RESIDUE(s,t) (capacity[s][t]-flow[s][t])

vector<pair<int, int>>uses;

//流量0の逆辺も張らないと正しく求まらないので注意
Weight maximumFlow(const Graph &ag, int s, int t) {

	Graph g(ag);
	for (int i = 0; i < ag.size(); ++i) {
		for (int j = 0; j < ag[i].size(); ++j) {
			int d = ag[i][j].dst;
			int s = ag[i][j].src;
			
			bool ok = false;
			for (int k = 0; k < ag[d].size(); ++k) {
				if (ag[d][k].src == s) {
ok = true;
break;
				}
			}
			if (!ok) {
				g[d].push_back(Edge(d, s, 0));
			}
		}
	}

	int n = g.size();
	Matrix flow(n, Array(n)), capacity(n, Array(n));
	REP(u, n) FOR(e, g[u]) capacity[e->src][e->dst] += e->weight;

	Weight total = 0;
	while (1) {
		queue<int> Q; Q.push(s);
		vector<int> prev(n, -1); prev[s] = s;
		while (!Q.empty() && prev[t] < 0) {
			int u = Q.front(); Q.pop();
			FOR(e, g[u]) if (prev[e->dst] < 0 && RESIDUE(u, e->dst) > 0) {
				prev[e->dst] = u;
				Q.push(e->dst);
			}
		}
		if (prev[t] < 0) return total; // prev[x] == -1 <=> t-side
		Weight inc = INF;
		for (int j = t; prev[j] != j; j = prev[j])
			inc = min(inc, RESIDUE(prev[j], j));
		for (int j = t; prev[j] != j; j = prev[j])
			flow[prev[j]][j] += inc, flow[j][prev[j]] -= inc;
		total += inc;
	}
}

map<long long int, int>soinnsuu(long long int a) {
	map<long long int, int>ans;
	for (long long i = 2; i*i <= a; ++i) {
		while (a%i == 0) {
			ans[i]++;
			a /= i;
		}
	}
	if (a != 1)ans[a]++;


	return ans;
}

bool isso(long long int a) {
	if (a == 1)return false;
	for (long long int i = 2; i*i <= a; ++i) {
		if (!(a%i)) {
			return false;
		}
		else {
		}
	}
	return true;
}


struct vert {
	int deg;
	int s;
	int id;
	vert(int a, int b, int c) {
		deg = a;
		s = b;
		id = c;
	}
};


#include<stdio.h>
#include <iostream>
#include <math.h>
#include <numeric>
#include <vector>
#include <map>
#include <functional>
#include <stdio.h>
#include <array>
#include <algorithm>
#include <string>
#include <string.h>
#include <assert.h>
#include <stdio.h>
#include <queue>
#include<iomanip>
#include<bitset>
#include<stack>
#include<set>
#include<limits>
#include <complex>
using namespace std;
class Compare {
public:
	bool operator()(const pair<int, int>&l, const pair<int, int>&r) {
		return l.second > r.second;
	}
};



int fri[100][100];
int N, M;

long long int getans(vector<int>be,int now,vector<int>hapiness) {
	if (now == N)  {
		return accumulate(hapiness.begin(), hapiness.end(), 0);
	}

	
	bool canjoin = true;
	long long int ans(getans(be, now+1, hapiness));

	if (be.size() == 0) {
		be.push_back(now);
		hapiness.push_back(0);
		ans = max(ans,getans(be, now + 1, hapiness));
	}
	else if (be.size() == 1) {
		be.push_back(now);
		hapiness.push_back(0);
		hapiness[0] = fri[now][be[0]];
		hapiness[1] = fri[now][be[0]];
		ans = max(ans,getans(be, now + 1, hapiness));
	}
	else {
		int aminhap = 99999999;
		for (int i = 0; i < be.size(); ++i) {
			if (fri[now][be[i]]) {
				aminhap = min(aminhap, fri[now][be[i]]);
				hapiness[i] = min(hapiness[i], fri[now][be[i]]);
			}
			else {
				canjoin = false;
				break;
			}
		}
		if (canjoin) {

			be.push_back(now);
			hapiness.push_back(aminhap);
			ans = max(ans, getans(be, now, hapiness));

		}
	}

	return ans;
	
}

int main() {
	memset(fri, 0, sizeof(fri));
	 cin >> N >> M;
	for (int i = 0; i < M; ++i) {
		int a, b; cin >> a >> b;
		a--; b--;
		int c; cin >> c;
		fri[a][b] = c;
		fri[b][a] = c;
	}

	long long int ans(getans(vector<int>(0, false),0, vector<int>(0)));
	cout << ans << endl;

	return 0;
}