Submission #1086227

#TimeUsernameProblemLanguageResultExecution timeMemory
1086227DaciejMaciejRobot (JOI21_ho_t4)C++17
100 / 100
688 ms84332 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 != 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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