/+ dub.sdl:
    name "B"
    dependency "dcomp" version=">=0.6.0"
+/
 
import std.stdio, std.algorithm, std.range, std.conv;
// import dcomp.foundation, dcomp.scanner;
// import dcomp.functional;
 
int n;
int[][] g;
int[] gsm;
 
int main() {
    auto sc = new Scanner(stdin);
    int m;
    sc.read(n, m);
    calc.init([[0, 1<<n], [0, n-1], [0, n-1]]);
    g = new int[][](n, n);
    foreach (i; 0..m) {
        int a, b, c;
        sc.read(a, b, c); a--; b--;
        g[a][b] = g[b][a] = c;
    }
    gsm = new int[1<<n];
    foreach (f; 0..1<<n) {
        foreach (x; 0..n) {
            if (!(f & (1<<x))) continue;
            foreach (y; x+1..n) {
                if (!(f & (1<<y))) continue;
                gsm[f] += g[x][y];
            }
        }
    }
    writeln(calc((1<<n)-1, 0, n-1));    
    return 0;
}
 
 
int calcBase(int f, int s, int t) {
    if (s > t) return calc(f, t, s);
    assert(f & (1<<s));
    assert(f & (1<<t));
    int ans = 10^^9;
    if (g[s][t]) {
        for (int w = 0; w < f; w = ((w | ~f) + 1) & f) {
            if (!(w & (1<<s))) continue;
            if ( (w & (1<<t))) continue;
            ans = min(ans, gsm[f] - gsm[w] - gsm[f^w] - g[s][t]);
        }
    }
    foreach (z; 0..n) {
        if (!(f & (1<<z))) continue;
        if (z == s || z == t) continue;
        for (int w = 0; w < f; w = ((w | ~f) + 1) & f) {
            if (!(w & (1<<s))) continue;
            if ( (w & (1<<z))) continue;
            if ( (w & (1<<t))) continue;
            int sm = calc(w|(1<<z), s, z) + calc(f^w, z, t);
            ans = min(ans, sm + gsm[f] - gsm[w|(1<<z)] - gsm[f^w]);
        }
    }
    return ans;
}
memoCont!calcBase calc;
/* IMPORT /home/yosupo/Program/dcomp/source/dcomp/functional.d */
// module dcomp.functional;

 
struct memoCont(alias pred) {
    import core.exception : RangeError;
    import std.range, std.algorithm, std.conv;
    import std.string : join;
    import std.traits : ReturnType, ParameterTypeTuple, isIntegral;
    import std.typecons : tuple, Tuple;
    import std.meta;
    alias R = ReturnType!pred;
    alias Args = ParameterTypeTuple!pred;
    static assert (allSatisfy!(isIntegral, Args));
    static immutable N = Args.length;
    int[2][N] rng;
    int[N] len;
    R[] dp;
    bool[] used;
    void init(int[2][N] rng) {
        this.rng = rng;
        len = rng[].map!(a => a[1]-a[0]+1).array;
        int sz = len.reduce!"a*b";
        dp = new R[sz];
        used = new bool[sz];
    }
    R opCall(Args args) {
        int idx, base = 1;
        foreach (i, v; args) {
            version(assert) {
                if (v < rng[i][0] || rng[i][1] < v) {
                    throw new RangeError;
                }
            }
            assert(rng[i][0] <= v && v <= rng[i][1]);
            idx += base*(v - rng[i][0]);
            base *= len[i];
        }
        if (used[idx]) return dp[idx];
        used[idx] = true;
        auto r = pred(args);
        dp[idx] = r;
        return r;
    }
}

 
 
/* IMPORT /home/yosupo/Program/dcomp/source/dcomp/foundation.d */
// module dcomp.foundation;
 
static if (__VERSION__ <= 2070) {
    /*
    Copied by https://github.com/dlang/phobos/blob/master/std/algorithm/iteration.d
    Copyright: Andrei Alexandrescu 2008-.
    License: $(HTTP boost.org/LICENSE_1_0.txt, Boost License 1.0).
    */
    template fold(fun...) if (fun.length >= 1) {
        auto fold(R, S...)(R r, S seed) {
            import std.algorithm : reduce;
            static if (S.length < 2) {
                return reduce!fun(seed, r);
            } else {
                import std.typecons : tuple;
                return reduce!fun(tuple(seed), r);
            }
        }
    }
     
}

import core.bitop : popcnt;
static if (!__traits(compiles, popcnt(ulong.max))) {
    public import core.bitop : popcnt;
    int popcnt(ulong v) {
        return popcnt(cast(uint)(v)) + popcnt(cast(uint)(v>>32));
    }
}

bool poppar(ulong v) {
    v^=v>>1;
    v^=v>>2;
    v&=0x1111111111111111UL;
    v*=0x1111111111111111UL;
    return ((v>>60) & 1) != 0;
}
/* IMPORT /home/yosupo/Program/dcomp/source/dcomp/scanner.d */
// module dcomp.scanner;

// import dcomp.container.stack;

 
class Scanner {
    import std.stdio : File;
    import std.conv : to;
    import std.range : front, popFront, array, ElementType;
    import std.array : split;
    import std.traits : isSomeChar, isStaticArray, isArray; 
    import std.algorithm : map;
    File f;
    this(File f) {
        this.f = f;
    }
    char[512] lineBuf;
    char[] line;
    private bool succW() {
        import std.range.primitives : empty, front, popFront;
        import std.ascii : isWhite;
        while (!line.empty && line.front.isWhite) {
            line.popFront;
        }
        return !line.empty;
    }
    private bool succ() {
        import std.range.primitives : empty, front, popFront;
        import std.ascii : isWhite;
        while (true) {
            while (!line.empty && line.front.isWhite) {
                line.popFront;
            }
            if (!line.empty) break;
            line = lineBuf[];
            f.readln(line);
            if (!line.length) return false;
        }
        return true;
    }

    private bool readSingle(T)(ref T x) {
        import std.algorithm : findSplitBefore;
        import std.string : strip;
        import std.conv : parse;
        if (!succ()) return false;
        static if (isArray!T) {
            alias E = ElementType!T;
            static if (isSomeChar!E) {
                 
                 
                auto r = line.findSplitBefore(" ");
                x = r[0].strip.dup;
                line = r[1];
            } else static if (isStaticArray!T) {
                foreach (i; 0..T.length) {
                    bool f = succW();
                    assert(f);
                    x[i] = line.parse!E;
                }
            } else {
                StackPayload!E buf;
                while (succW()) {
                    buf ~= line.parse!E;
                }
                x = buf.data;
            }
        } else {
            x = line.parse!T;
        }
        return true;
    }
    int read(T, Args...)(ref T x, auto ref Args args) {
        if (!readSingle(x)) return 0;
        static if (args.length == 0) {
            return 1;
        } else {
            return 1 + read(args);
        }
    }
}


 
 

 
/* IMPORT /home/yosupo/Program/dcomp/source/dcomp/container/stack.d */
// module dcomp.container.stack;

struct StackPayload(T, size_t MIN = 4) {
    import core.exception : RangeError;
    import std.algorithm : max;
    import std.conv;
    import std.range.primitives : ElementEncodingType;
    import core.stdc.string : memcpy;

    private T* _data;
    private uint len, cap;
     
    bool empty() const { return len == 0; }
    @property size_t length() const { return len; }
    alias opDollar = length;

    ref inout(T) opIndex(size_t i) inout { return _data[i]; }
    ref inout(T) front() inout { return _data[0]; }
    ref inout(T) back() inout { assert(len); return _data[len-1]; }
    
     
    void reserve(size_t nlen) {
        import core.memory : GC;
        if (nlen <= cap) return;
        
        void* nx = GC.malloc(nlen * T.sizeof);

        cap = nlen.to!uint;
        if (len) memcpy(nx, _data, len * T.sizeof);
        _data = cast(T*)(nx);
    }
    void free() {
        import core.memory : GC;
        GC.free(_data);
    }
     
    void opOpAssign(string op : "~")(T item) {
        if (len == cap) {
            reserve(max(MIN, cap*2));
        }
        _data[len++] = item;
    }
     
    void insertBack(T item) {
        this ~= item;
    }
     
    void removeBack() {
        len--;
    }
     
    void clear() {
        len = 0;
    }
     
    inout(T)[] data() inout {
        return (_data) ? _data[0..len] : null;
    }

    static struct RangeT(A) {
        import std.traits : CopyTypeQualifiers;
        alias E = CopyTypeQualifiers!(A, T);
        A *p;
        size_t a, b;
        @property bool empty() const { return b <= a; }
        @property size_t length() const { return b-a; }
        @property RangeT save() { return RangeT(p, a, b); }
        @property RangeT!(const A) save() const {
            return typeof(return)(p, a, b);
        }
        alias opDollar = length;
        @property ref inout(E) front() inout { return (*p)[a]; }
        @property ref inout(E) back() inout { return (*p)[b-1]; }
        void popFront() {
            version(assert) if (empty) throw new RangeError();
            a++;
        }
        void popBack() {
            version(assert) if (empty) throw new RangeError();
            b--;
        }
        ref inout(E) opIndex(size_t i) inout { return (*p)[i]; }
        RangeT opSlice() { return this.save; }
        RangeT opSlice(size_t i, size_t j) {
            version(assert) if (i > j || a + j > b) throw new RangeError();
            return typeof(return)(p, a+i, a+j);
        }
        RangeT!(const A) opSlice() const { return this.save; }
        RangeT!(const A) opSlice(size_t i, size_t j) const {
            version(assert) if (i > j || a + j > b) throw new RangeError();
            return typeof(return)(p, a+i, a+j);
        }
    }
    alias Range = RangeT!(StackPayload!T);
    alias ConstRange = RangeT!(const StackPayload!T);
    alias ImmutableRange = RangeT!(immutable StackPayload!T);
}

 

struct Stack(T) {
    import core.exception : RangeError;
    import core.memory : GC;
    import std.range : ElementType, isInputRange;
    import std.traits : isImplicitlyConvertible;

    alias Payload = StackPayload!T;
    alias Range = Payload.Range;
    alias ConstRange = Payload.ConstRange;
    alias ImmutableRange = Payload.ImmutableRange;
    
    Payload* p;
    private void I() { if (!p) p = new Payload(); }
    private void C() const {
        version(assert) if (!p) throw new RangeError();
    }
     
    private this(Payload* p) {
        this.p = p;
    }
    this(U)(U[] values...) if (isImplicitlyConvertible!(U, T)) {
        p = new Payload();
        foreach (v; values) {
            insertBack(v);
        }
    }
     
    this(Range)(Range r)
    if (isInputRange!Range &&
    isImplicitlyConvertible!(ElementType!Range, T) &&
    !is(Range == T[])) {
        p = new Payload();
        foreach (v; r) {
            insertBack(v);
        }
    }
    static Stack make() { return Stack(new Payload()); }
    @property bool havePayload() const { return (p !is null); }
     
    @property bool empty() const { return (!havePayload || p.empty); }
     
    @property size_t length() const { return (havePayload ? p.length : 0); }
    @property inout(T)[] data() inout {C; return (!p) ? [] : p.data; }
     
    alias opDollar = length;
    ref inout(T) opIndex(size_t i) inout {C; return (*p)[i]; }
     
    ref inout(T) front() inout {C; return (*p)[0]; }
     
    ref inout(T) back() inout {C; return (*p)[$-1]; }
    void clear() { if (p) p.clear(); }
     
    void insertBack(T v) {I; p.insertBack(v); }
     
    alias stableInsertBack = insertBack;
     
    void removeBack() {C; p.removeBack(); }
     
    Range opSlice() {I; return Range(p, 0, length); }
}

 
 

/*
This source code generated by dcomp and include dcomp's source code.
dcomp's Copyright: Copyright (c) 2016- Kohei Morita. (https://github.com/yosupo06/dcomp)
dcomp's License: MIT License(https://github.com/yosupo06/dcomp/blob/master/LICENSE.txt)
*/


Measured memory_bytes: 38396