이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
#include <unordered_map>
using namespace std;
typedef long long ll;
struct Line {
int to, col;
ll cost;
int cc;
};
struct Q {
int pos;
ll cost;
};
bool operator<(const Q& a, const Q& b) {
return a.cost > b.cost;
}
vector<vector<Line>> V;
vector<vector<int>> vc;
vector<vector<int>> vidx;
vector<vector<vector<Line>>> vcole;
vector<vector<int>> colcnt;
vector<vector<ll>> colsum;
vector<ll> dst;
int main() {
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
int n, m; cin >> n >> m;
V.resize(n + 1);
colcnt.resize(n + 1); colsum.resize(n+1);
vcole.resize(n + 1); vidx.resize(n+1);
vc.resize(n+1);
int vnum = n + 1;
for (int i = 0; i < m; i++) {
int from, to, col; ll cost; cin >> from >> to >> col >> cost;
vc[from].push_back(col);
vc[to].push_back(col);
V[from].push_back({ to, col, cost });
V[to].push_back({ from, col, cost });
}
for (int i = 1; i <= n; i++) {
vector<int>& v = vc[i];
sort(v.begin(), v.end());
v.erase(unique(v.begin(), v.end()), v.end());
int sz = v.size();
vidx[i].resize(sz);colcnt[i].resize(sz);
colsum[i].resize(sz); vcole[i].resize(sz);
for (int& w : vidx[i]) w = vnum++;
for (Line& w : V[i]) {
int fromc = lower_bound(v.begin(), v.end(), w.col) - v.begin();
colcnt[i][fromc]++; colsum[i][fromc] += w.cost;
vcole[i][fromc].push_back(w);
w.cc = fromc;
}
}
dst.resize(vnum + 1, 1e18);
for (int i = n + 1; i < vnum; i++) V.push_back(vector<Line>());
for (int i = 1; i <= n; i++) {
int sz = V[i].size();
for (int j = 0; j < sz; j++) {
Line& w = V[i][j];
int idx = lower_bound(vc[w.to].begin(), vc[w.to].end(), w.col) - vc[w.to].begin();
V[i].push_back({ vidx[w.to][idx], w.col, 0, idx });
}
for (int w : vc[i]) {
int col = w, idx = lower_bound(vc[i].begin(), vc[i].end(), col) - vc[i].begin();
for (Line& l : vcole[i][idx])
V[vidx[i][idx]].push_back({ l.to, l.col, colsum[i][idx] - l.cost, idx });
}
}
priority_queue<Q> pq;
pq.push({ 1, 0 }); dst[1] = 0;
while (!pq.empty()) {
Q top = pq.top(); pq.pop();
if (top.pos == n) break;
for (Line& w : V[top.pos]) {
ll& ret = dst[w.to];
if (top.pos <= n) {
if (w.to > n) {
if (ret > top.cost) {
ret = top.cost;
pq.push({ w.to, ret });
}
}
else {
int idx = w.cc;
if (colcnt[top.pos][idx] == 1) {
if (ret > top.cost) {
ret = top.cost;
pq.push({w.to, ret });
}
}
else {
if (ret > top.cost + w.cost) {
ret = top.cost + w.cost;
pq.push({w.to, ret });
}
if (ret > top.cost + colsum[top.pos][idx] - w.cost) {
ret = top.cost + colsum[top.pos][idx] - w.cost;
pq.push({ w.to, ret });
}
}
}
}
else {
if (ret > top.cost + w.cost) {
ret = top.cost + w.cost;
pq.push({w.to, ret });
}
}
}
}
cout << (dst[n] == 1e18 ? -1:dst[n]) << "\n";
return 0;
}
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