제출 #1086226

#제출 시각아이디문제언어결과실행 시간메모리
1086226DaciejMaciejRobot (JOI21_ho_t4)C++17
0 / 100
649 ms81088 KiB
#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 != dp[node]) 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 {
            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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