From a0111ea70214955ac4a27aa7a474bfeedea392ed Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Thu, 5 Jan 2023 20:41:36 +0800
Subject: [PATCH] 4289. [PA2012] Tax

https://hydro.ac/d/bzoj/record/63b6c570291ec3514f4e2803
---
 BZOJ/4289/4289.cpp    | 108 ++++++++++++++++++++++++++++++++++++++++++
 BZOJ/4289/data/1.in   |   3 ++
 BZOJ/4289/data/1.out  |   3 ++
 BZOJ/4289/data/10.in  |   3 ++
 BZOJ/4289/data/10.out |   3 ++
 BZOJ/4289/data/11.in  |   3 ++
 BZOJ/4289/data/11.out |   3 ++
 BZOJ/4289/data/2.in   |   3 ++
 BZOJ/4289/data/2.out  |   3 ++
 BZOJ/4289/data/3.in   |   3 ++
 BZOJ/4289/data/3.out  |   3 ++
 BZOJ/4289/data/4.in   |   3 ++
 BZOJ/4289/data/4.out  |   3 ++
 BZOJ/4289/data/5.in   |   3 ++
 BZOJ/4289/data/5.out  |   3 ++
 BZOJ/4289/data/6.in   |   3 ++
 BZOJ/4289/data/6.out  |   3 ++
 BZOJ/4289/data/7.in   |   3 ++
 BZOJ/4289/data/7.out  |   3 ++
 BZOJ/4289/data/8.in   |   3 ++
 BZOJ/4289/data/8.out  |   3 ++
 BZOJ/4289/data/9.in   |   3 ++
 BZOJ/4289/data/9.out  |   3 ++
 23 files changed, 174 insertions(+)
 create mode 100644 BZOJ/4289/4289.cpp
 create mode 100644 BZOJ/4289/data/1.in
 create mode 100644 BZOJ/4289/data/1.out
 create mode 100644 BZOJ/4289/data/10.in
 create mode 100644 BZOJ/4289/data/10.out
 create mode 100644 BZOJ/4289/data/11.in
 create mode 100644 BZOJ/4289/data/11.out
 create mode 100644 BZOJ/4289/data/2.in
 create mode 100644 BZOJ/4289/data/2.out
 create mode 100644 BZOJ/4289/data/3.in
 create mode 100644 BZOJ/4289/data/3.out
 create mode 100644 BZOJ/4289/data/4.in
 create mode 100644 BZOJ/4289/data/4.out
 create mode 100644 BZOJ/4289/data/5.in
 create mode 100644 BZOJ/4289/data/5.out
 create mode 100644 BZOJ/4289/data/6.in
 create mode 100644 BZOJ/4289/data/6.out
 create mode 100644 BZOJ/4289/data/7.in
 create mode 100644 BZOJ/4289/data/7.out
 create mode 100644 BZOJ/4289/data/8.in
 create mode 100644 BZOJ/4289/data/8.out
 create mode 100644 BZOJ/4289/data/9.in
 create mode 100644 BZOJ/4289/data/9.out

diff --git a/BZOJ/4289/4289.cpp b/BZOJ/4289/4289.cpp
new file mode 100644
index 00000000..280c634f
--- /dev/null
+++ b/BZOJ/4289/4289.cpp
@@ -0,0 +1,108 @@
+#include <iostream>
+#include <algorithm>
+#include <functional>
+#include <queue>
+#include <tuple>
+#include <utility>
+#include <vector>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 1e5 + 5,
+          M = 2e5 + 5;
+const long long INF = 0x3f3f3f3f'3f3f3f3f;
+
+int n, m, s, t;
+std::vector<std::tuple<int, int, int>> g[N];
+std::vector<std::pair<int, int>> g2[M << 1];
+long long dist[M << 1];
+bool vis[M << 1];
+
+void dijkstra() {
+    std::fill(std::begin(dist), std::end(dist), INF);
+    std::fill(std::begin(vis), std::end(vis), false);
+
+    std::priority_queue<std::pair<long long, int>, std::vector<std::pair<long long, int>>, std::greater<>> q;
+
+    q.emplace(0, s);
+    dist[s] = 0;
+
+    while (!q.empty()) {
+        long long l;
+        int u;
+
+        std::tie(l, u) = q.top();
+
+        q.pop();
+
+        if (vis[u]) continue;
+
+        for (auto e : g2[u]) {
+            int v = e.first,
+                w = e.second;
+
+            if (dist[v] > l + w) {
+                dist[v] = l + w;
+
+                q.emplace(dist[v], v);
+            }
+        }
+
+        vis[u] = true;
+    }
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> n >> m;
+
+    for (int i = 1, u, v, w; i <= m; i++) {
+        cin >> u >> v >> w;
+
+        g[u].emplace_back(v, w, i << 1);
+        g[v].emplace_back(u, w, i << 1 | 1);
+    }
+
+    s = 0, t = 2 * m + 2;
+
+    for (int i = 1; i <= n; i++) {
+        std::sort(g[i].begin(), g[i].end(), [](const std::tuple<int, int, int> &lhs, const std::tuple<int, int, int> &rhs) {
+            return std::get<1>(lhs) < std::get<1>(rhs);
+        });
+
+        for (int j = 0; j < g[i].size(); j++) {
+            int v, w, id;
+
+            std::tie(v, w, id) = g[i][j];
+
+            g2[id ^ 1].emplace_back(id, w);
+
+            if (i == 1) {
+                g2[s].emplace_back(id, w);
+            }
+
+            if (v == n) {
+                g2[id].emplace_back(t, w);
+            }
+
+            if (j != 0) {
+                int w2, id2;
+
+                std::tie(std::ignore, w2, id2) = g[i][j - 1];
+
+                g2[id2].emplace_back(id, w - w2);
+                g2[id].emplace_back(id2, 0);
+            }
+        }
+    }
+
+    dijkstra();
+
+    cout << dist[t] << endl;
+
+    return 0;
+}
diff --git a/BZOJ/4289/data/1.in b/BZOJ/4289/data/1.in
new file mode 100644
index 00000000..bcf98f56
--- /dev/null
+++ b/BZOJ/4289/data/1.in
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9999630308725747bf60f86ad627e0f4db98b56e412f3e2d449cd90c93b345ba
+size 3518465
diff --git a/BZOJ/4289/data/1.out b/BZOJ/4289/data/1.out
new file mode 100644
index 00000000..0d3dc250
--- /dev/null
+++ b/BZOJ/4289/data/1.out
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88bef4630480a04bf9ef5e4d9cf0312e9f0e2b0f136382d7ad1f29e57ff212f9
+size 11
diff --git a/BZOJ/4289/data/10.in b/BZOJ/4289/data/10.in
new file mode 100644
index 00000000..2ad0f4ef
--- /dev/null
+++ b/BZOJ/4289/data/10.in
@@ -0,0 +1,3 @@
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+oid sha256:3a83ad733b2d3f6e7e82457872c54e6bbd775957fd6274d0d62b45d10adfdb60
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diff --git a/BZOJ/4289/data/10.out b/BZOJ/4289/data/10.out
new file mode 100644
index 00000000..937c3cc8
--- /dev/null
+++ b/BZOJ/4289/data/10.out
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diff --git a/BZOJ/4289/data/11.in b/BZOJ/4289/data/11.in
new file mode 100644
index 00000000..3b34b8a4
--- /dev/null
+++ b/BZOJ/4289/data/11.in
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diff --git a/BZOJ/4289/data/11.out b/BZOJ/4289/data/11.out
new file mode 100644
index 00000000..0fca306a
--- /dev/null
+++ b/BZOJ/4289/data/11.out
@@ -0,0 +1,3 @@
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+oid sha256:f5bbc9df805e66180e1640add85a5de00bf2e13d1f5415e22278318f2d82d5d1
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diff --git a/BZOJ/4289/data/2.in b/BZOJ/4289/data/2.in
new file mode 100644
index 00000000..3e13756e
--- /dev/null
+++ b/BZOJ/4289/data/2.in
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new file mode 100644
index 00000000..ed613cc8
--- /dev/null
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diff --git a/BZOJ/4289/data/3.in b/BZOJ/4289/data/3.in
new file mode 100644
index 00000000..ab13c834
--- /dev/null
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new file mode 100644
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--- /dev/null
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new file mode 100644
index 00000000..99d010f3
--- /dev/null
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new file mode 100644
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new file mode 100644
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new file mode 100644
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