#include<bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define vi vector<int>
#define pi pair<int,int>
#define sz(v) (int)(v).size()
#define all(v) (v).begin(), (v).end()
#define compact(v) (v).erase(unique(all(v)), (v).end())
template<class T> using upq = priority_queue<T, vector<T>, greater<T>>;
template<class T> int lwrbound(const vector<T>& a, const T& b, const int s = 0){return int(lower_bound(s + all(a), b) - a.begin());}
template<class T> int uprbound(const vector<T>& a, const T& b, const int s = 0){return int(upper_bound(s + all(a), b) - a.begin());}
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define ROF(i, a, b) for(int i = (a); i >= (b); i--)
#define sumof(x) accumulate(all(x), 0ll)
#define dbg(x) "[" << #x " = " << (x) << "]"
#define el "\n"
using ll = long long;
using ld = long double;
template<class T> bool ckmx(T& a, const T b){return (a < b ? a = b, true : false);}
template<class T> bool ckmn(T& a, const T b){return (a > b ? a = b, true : false);}
const int N = 2e5 + 5, INF = 2e9;
struct Node{
int u, mask, w;
Node(int u = 0, int mask = 0, int w = 0): u(u), mask(mask), w(w) {}
bool operator < (const Node& q) const{
return w > q.w;
}
};
int n, T, U[N], V[N], D[N], E[N], cnt_node;
int upTrain[N], dwTrain[N], stamp[N];
vector<pair<int,int>> adj[N];
void Main()
{
cin >> n >> T;
FOR(i, 1, n){
cin >> U[i] >> V[i] >> D[i] >> E[i];
}
FOR(i, 1, n) stamp[i] = ++cnt_node;
FOR(i, 0, n + 1) upTrain[i] = ++cnt_node;
FOR(i, 1, n + 1) dwTrain[i] = ++cnt_node;
FOR(i, 1, n + 1) adj[upTrain[i - 1]].eb(upTrain[i], T);
ROF(i, n, 2) adj[dwTrain[i]].eb(dwTrain[i - 1], T);
FOR(i, 1, n){
adj[upTrain[i]].eb(stamp[i], U[i]);
adj[stamp[i]].eb(upTrain[i], V[i]);
adj[dwTrain[i]].eb(stamp[i], D[i]);
adj[stamp[i]].eb(dwTrain[i], E[i]);
}
priority_queue<Node> pq; vector<vi> dp(cnt_node + 1, vi((1 << n), INF));
pq.emplace(upTrain[0], 0, 0); dp[upTrain[0]][0] = 0;
while(!pq.empty()){
Node e = pq.top(); pq.pop();
int x = e.u, mask = e.mask;
for(auto [v, w] : adj[x]){
//cout << "Edge: " << v <<" " << x << " " << w << el;
if(v <= n){
int nmask = mask | (1 << (v - 1));
if(ckmn(dp[v][nmask], dp[x][mask] + w)){
pq.emplace(v, nmask, dp[v][nmask]);
}
}
else{
if(ckmn(dp[v][mask], dp[x][mask] + w)){
pq.emplace(v, mask, dp[v][mask]);
}
}
}
}
cout << dp[upTrain[n + 1]][(1 << n) - 1] << el;
}
int32_t main()
{
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
#define name "InvMOD"
if(fopen(name".INP", "r")){
freopen(name".INP", "r", stdin);
freopen(name".OUT", "w", stdout);
}
int t = 1; while(t--) Main();
return 0;
}
