This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// #include <ext/rope>
using namespace std;
// using namespace __gnu_pbds;
typedef long long ll;
typedef unsigned long long ull;
typedef unsigned int uint;
typedef long double ld;
template <class T>
using VV = vector<vector<T>>;
using VI = vector<int>;
using VVI = vector<vector<int>>;
using VL = vector<long long>;
using VVL = vector<vector<long long>>;
using VC = vector<char>;
using VVC = vector<vector<char>>;
using VB = vector<bool>;
using VVB = vector<vector<bool>>;
using VD = vector<double>;
using VVD = vector<vector<double>>;
using PII = pair<int, int>;
using PLL = pair<long long, long long>;
using PIL = pair<int, long long>;
using PLI = pair<long long, int>;
using VPII = vector<pair<int, int>>;
using VPLL = vector<pair<long long, long long>>;
#define LINE '\n'
#define SPACE ' '
#define PB push_back
#define FOR(i, a, b) for (int i = (a); i < (int(b)); i++)
#define FORE(i, a, b) for (int i = (a); i <= (int)((b)); i++)
#define ALL(x) x.begin(), x.end()
#define RALL(x) x.rbegin(), x.rend()
#define sq(a) ((a) * (a))
#define sz(x) ((int)s.size())
// zero indexed
template <class T>
struct segtree
{
const T def = 0;
int n;
vector<T> seg;
segtree(int _size) : n(_size), seg(2 * _size, def) {}
T merge(T a, T b)
{
return max(a, b);
}
void update(int pos, T val)
{
for (seg[pos += n] = val; pos /= 2;)
{
seg[pos] = merge(seg[pos * 2], seg[pos * 2 + 1]);
}
}
T query(int l, int r)
{ // get [l, r]
T a = def, b = def;
for (l += n, r += n + 1; l < r; l /= 2, r /= 2)
{
if (l % 2)
a = merge(a, seg[l++]);
if (r % 2)
b = merge(b, seg[--r]);
}
return merge(a, b);
}
};
const ll MOD = 1e9 + 7;
template <class T>
void maxi(T &a, T b)
{
a = max(a, b);
}
template <class T>
void mini(T &a, T b)
{
a = min(a, b);
}
template <class T>
void addi(T &a, T b)
{
a = (a + b) % MOD;
}
template <class T>
void subi(T &a, T b)
{
a = (a - b + MOD) % MOD;
}
template <class T>
T add(T a, T b)
{
return (a + b) % MOD;
}
template <class T>
T sub(T a, T b)
{
return (a - b + MOD) % MOD;
}
template <class T>
T mul(T a, T b)
{
return ((a % MOD) * (b % MOD)) % MOD;
}
ll binpow(ll a, ll b, ll mod)
{
ll res = 1;
while (b > 0)
{
if (b & 1)
{
res = (res * a) % mod;
}
a = (a * a) % mod;
b >>= 1;
}
return res;
}
struct DSU
{
VI par;
VI size;
DSU(int _n) : par(_n), size(_n, 1)
{
iota(ALL(par), 0);
}
bool merge(int x, int y)
{
x = find(x);
y = find(y);
if (x == y)
return false;
if (size[y] > size[x])
swap(x, y);
size[x] += size[y];
par[y] = x;
return true;
}
int find(int x)
{
return (par[x] == x ? x : par[x] = find(par[x]));
}
bool connected(int x, int y)
{
return find(x) == find(y);
}
void reset()
{
FOR(i, 0, par.size())
par[i] = i,
size[i] = 1;
}
};
const int INF = 1e9;
const int MAX_N = 1e5 + 3;
int n, m;
struct Edge
{
int to;
int c;
ll p;
};
map<int, vector<Edge>> g[MAX_N];
map<int, ll> psum[MAX_N];
VL dp(MAX_N, 1e17);
map<int, ll> dp2[MAX_N];
void solve()
{
cin >> n >> m;
FOR(i, 0, m)
{
int a, b, c;
ll p;
cin >> a >> b >> c >> p;
g[a][c].PB({b, c, p});
g[b][c].PB({a, c, p});
psum[a][c] += p;
psum[b][c] += p;
}
using State = tuple<ll, int, int>;
priority_queue<State, vector<State>, greater<State>> pq;
dp[1] = 0;
pq.push({0, 1, 0});
while (!pq.empty())
{
auto [cost, node, color] = pq.top();
pq.pop();
if(color != 0) {
// came from loan node
if(cost != dp2[node][color]) continue;
for(auto edge : g[node][color]) {
ll case1 = psum[node][color] - edge.p + cost;
if(case1 < dp[edge.to]) {
dp[edge.to] = case1;
pq.push({case1, edge.to, 0});
}
}
}
else {
if(dp[node] != cost) continue;
for(auto &i : g[node]) {
for(auto edge : i.second) {
ll case2 = psum[node][edge.c] - edge.p + cost;
ll case3 = edge.p + cost;
ll rs23 = min(case2, case3);
if(rs23 < dp[edge.to]) {
dp[edge.to] = rs23;
pq.push({rs23, edge.to, 0});
}
ll case4 = cost;
if(!dp2[edge.to].count(edge.c) || case4 < dp2[edge.to][edge.c]) {
dp2[edge.to][edge.c] = case4;
pq.push({case4, edge.to, edge.c});
}
}
}
}
}
ll ans = dp[n];
cout << (ans < 1e17 ? ans : -1) << LINE;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int t = 1;
// cin >> t;
while (t--)
solve();
}
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