diff options
author | Anthony Wang | 2021-12-28 12:35:11 -0600 |
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committer | Anthony Wang | 2021-12-28 12:35:11 -0600 |
commit | f5f8ceb32a9abeea4b02fbf891a267731b87e4d0 (patch) | |
tree | 04ab35ca897175e92037fbbd421b61b0a0cd137c /21/dec/tickets.cpp | |
parent | 29888f9dd605e69724cabd6a70034131d3dffb2c (diff) |
Add solution to 2021 Dec Tickets
Diffstat (limited to '21/dec/tickets.cpp')
-rw-r--r-- | 21/dec/tickets.cpp | 79 |
1 files changed, 79 insertions, 0 deletions
diff --git a/21/dec/tickets.cpp b/21/dec/tickets.cpp new file mode 100644 index 0000000..cd6e006 --- /dev/null +++ b/21/dec/tickets.cpp @@ -0,0 +1,79 @@ +#include <bits/stdc++.h> +#define f first +#define s second +using namespace std; +using ll = long long; +using ii = pair<int, int>; +using pl = pair<ll, ll>; +constexpr int MX = 1e5+5; + +int N, K; + +struct ticket_t { + int c, p, a, b; +} T[MX]; + +struct seg_tree { + int seg[4*MX]; + inline int pull(const int & a, const int & b) { return max(a, b); } + void build(int l = 0, int r = MX-1, int n = 1) { + if (l == r) { seg[n] = T[l].b; return; } + int m = l+r>>1; + build(l, m, n<<1), build(m+1, r, n<<1|1); + seg[n] = pull(seg[n<<1], seg[n<<1|1]); + } + void remove(vector<int> & vc, int x, int l = 0, int r = MX-1, int n = 1) { + if (l >= K || T[l].a > x || seg[n] < x) return; + if (l == r) { + seg[n] = -1, vc.push_back(l); + } + else { + int m = l+r>>1; + remove(vc, x, l, m, n<<1), remove(vc, x, m+1, r, n<<1|1); + seg[n] = pull(seg[n<<1], seg[n<<1|1]); + } + } +}; + +void dijkstra(vector<ll> & dist) { + priority_queue<pl, vector<pl>, greater<>> pq; + for (int i = N; i < N+K; ++i) + dist[T[i-N].c] = min(dist[i]+T[i-N].p, dist[T[i-N].c]); + for (int i = 0; i < N; ++i) if (dist[i] < 1e18) + pq.emplace(dist[i], i); + seg_tree seg; + seg.build(); + while (pq.size()) { + ll d = pq.top().f, u = pq.top().s; + pq.pop(); + if (d > dist[u]) continue; + vector<int> vc; + seg.remove(vc, u); + for (int v : vc) { + if (dist[v+N] > d) { + dist[v+N] = d; + if (dist[T[v].c] > d+T[v].p) + dist[T[v].c] = d+T[v].p, + pq.emplace(dist[T[v].c], T[v].c); + } + } + } +} + +int main() { + cin.tie(0)->sync_with_stdio(0); + cin >> N >> K; + for (int i = 0; i < K; ++i) { + cin >> T[i].c >> T[i].p >> T[i].a >> T[i].b; + --T[i].c, --T[i].a, --T[i].b; + } + sort(T, T+K, [](auto & a, auto & b) { return a.a < b.a; }); + vector<ll> L(N+K, 1e18), R(N+K, 1e18), D(N+K); + L[0] = R[N-1] = 0; + dijkstra(L), dijkstra(R); + for (int i = 0; i < N+K; ++i) D[i] = L[i]+R[i]; + dijkstra(D); + for (int i = 0; i < N; ++i) + cout << (D[i] < 1e18 ? D[i] : -1) << '\n'; +} + |