From 6858dbb3f5c45b941c420e420f611180e491a6b7 Mon Sep 17 00:00:00 2001 From: Baoshuo Date: Sat, 10 Dec 2022 17:15:33 +0800 Subject: [PATCH] =?UTF-8?q?#2669.=20=E3=80=8CNOI2013=E3=80=8D=E5=BF=AB?= =?UTF-8?q?=E9=A4=90=E5=BA=97?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit https://loj.ac/s/1651333 --- LibreOJ/2669/2669.cpp | 152 +++++++++++++++++++++++++++++++ LibreOJ/2669/data/foodshop1.ans | 3 + LibreOJ/2669/data/foodshop1.in | 3 + LibreOJ/2669/data/foodshop10.ans | 3 + LibreOJ/2669/data/foodshop10.in | 3 + LibreOJ/2669/data/foodshop11.ans | 3 + LibreOJ/2669/data/foodshop11.in | 3 + LibreOJ/2669/data/foodshop12.ans | 3 + LibreOJ/2669/data/foodshop12.in | 3 + LibreOJ/2669/data/foodshop13.ans | 3 + LibreOJ/2669/data/foodshop13.in | 3 + LibreOJ/2669/data/foodshop14.ans | 3 + LibreOJ/2669/data/foodshop14.in | 3 + LibreOJ/2669/data/foodshop15.ans | 3 + LibreOJ/2669/data/foodshop15.in | 3 + LibreOJ/2669/data/foodshop16.ans | 3 + LibreOJ/2669/data/foodshop16.in | 3 + LibreOJ/2669/data/foodshop17.ans | 3 + LibreOJ/2669/data/foodshop17.in | 3 + LibreOJ/2669/data/foodshop18.ans | 3 + LibreOJ/2669/data/foodshop18.in | 3 + LibreOJ/2669/data/foodshop19.ans | 3 + LibreOJ/2669/data/foodshop19.in | 3 + LibreOJ/2669/data/foodshop2.ans | 3 + LibreOJ/2669/data/foodshop2.in | 3 + LibreOJ/2669/data/foodshop20.ans | 3 + LibreOJ/2669/data/foodshop20.in | 3 + LibreOJ/2669/data/foodshop3.ans | 3 + LibreOJ/2669/data/foodshop3.in | 3 + LibreOJ/2669/data/foodshop4.ans | 3 + LibreOJ/2669/data/foodshop4.in | 3 + LibreOJ/2669/data/foodshop5.ans | 3 + LibreOJ/2669/data/foodshop5.in | 3 + LibreOJ/2669/data/foodshop6.ans | 3 + LibreOJ/2669/data/foodshop6.in | 3 + LibreOJ/2669/data/foodshop7.ans | 3 + LibreOJ/2669/data/foodshop7.in | 3 + LibreOJ/2669/data/foodshop8.ans | 3 + LibreOJ/2669/data/foodshop8.in | 3 + LibreOJ/2669/data/foodshop9.ans | 3 + LibreOJ/2669/data/foodshop9.in | 3 + 41 files changed, 272 insertions(+) create mode 100644 LibreOJ/2669/2669.cpp create mode 100644 LibreOJ/2669/data/foodshop1.ans create mode 100644 LibreOJ/2669/data/foodshop1.in create mode 100644 LibreOJ/2669/data/foodshop10.ans create mode 100644 LibreOJ/2669/data/foodshop10.in create mode 100644 LibreOJ/2669/data/foodshop11.ans create mode 100644 LibreOJ/2669/data/foodshop11.in create mode 100644 LibreOJ/2669/data/foodshop12.ans create mode 100644 LibreOJ/2669/data/foodshop12.in create mode 100644 LibreOJ/2669/data/foodshop13.ans create mode 100644 LibreOJ/2669/data/foodshop13.in create mode 100644 LibreOJ/2669/data/foodshop14.ans create mode 100644 LibreOJ/2669/data/foodshop14.in create mode 100644 LibreOJ/2669/data/foodshop15.ans create mode 100644 LibreOJ/2669/data/foodshop15.in create mode 100644 LibreOJ/2669/data/foodshop16.ans create mode 100644 LibreOJ/2669/data/foodshop16.in create mode 100644 LibreOJ/2669/data/foodshop17.ans create mode 100644 LibreOJ/2669/data/foodshop17.in create mode 100644 LibreOJ/2669/data/foodshop18.ans create mode 100644 LibreOJ/2669/data/foodshop18.in create mode 100644 LibreOJ/2669/data/foodshop19.ans create mode 100644 LibreOJ/2669/data/foodshop19.in create mode 100644 LibreOJ/2669/data/foodshop2.ans create mode 100644 LibreOJ/2669/data/foodshop2.in create mode 100644 LibreOJ/2669/data/foodshop20.ans create mode 100644 LibreOJ/2669/data/foodshop20.in create mode 100644 LibreOJ/2669/data/foodshop3.ans create mode 100644 LibreOJ/2669/data/foodshop3.in create mode 100644 LibreOJ/2669/data/foodshop4.ans create mode 100644 LibreOJ/2669/data/foodshop4.in create mode 100644 LibreOJ/2669/data/foodshop5.ans create mode 100644 LibreOJ/2669/data/foodshop5.in create mode 100644 LibreOJ/2669/data/foodshop6.ans create mode 100644 LibreOJ/2669/data/foodshop6.in create mode 100644 LibreOJ/2669/data/foodshop7.ans create mode 100644 LibreOJ/2669/data/foodshop7.in create mode 100644 LibreOJ/2669/data/foodshop8.ans create mode 100644 LibreOJ/2669/data/foodshop8.in create mode 100644 LibreOJ/2669/data/foodshop9.ans create mode 100644 LibreOJ/2669/data/foodshop9.in diff --git a/LibreOJ/2669/2669.cpp b/LibreOJ/2669/2669.cpp new file mode 100644 index 00000000..4454a260 --- /dev/null +++ b/LibreOJ/2669/2669.cpp @@ -0,0 +1,152 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include + +using std::cin; +using std::cout; +const char endl = '\n'; + +const int N = 1e5 + 5; +const long long INF = 0x3f3f3f3f'3f3f3f3f; + +int n; +long long dist[N], dep[N], pre[N], suf[N], a[N], b[N], c[N], d[N], ans1, ans2; +std::vector> g[N], circle; +bool vis[N], on_circle[N]; + +bool dfs(int u, int f) { + if (vis[u]) return true; + + vis[u] = true; + + for (auto e : g[u]) { + int v = e.first, + w = e.second; + + if (v == f) continue; + + if (dfs(v, u)) { + circle.emplace_back(v, w); + on_circle[v] = true; + + return true; + } + } + + return false; +} + +std::pair bfs(int s) { + int res = s; + std::queue q; + std::unordered_set set; + + q.emplace(s); + set.emplace(s); + dist[s] = 0; + vis[s] = true; + + while (!q.empty()) { + int u = q.front(); + q.pop(); + + for (auto e : g[u]) { + int v = e.first, + w = e.second; + + if (!vis[v] && !on_circle[v]) { + dist[v] = dist[u] + w; + + if (dist[v] > dist[res]) res = v; + + q.emplace(v); + set.emplace(v); + vis[v] = true; + } + } + } + + long long dist_res = dist[res]; + + for (int u : set) { + vis[u] = false; + dist[u] = INF; + } + + return {res, dist_res}; +} + +int main() { + std::ios::sync_with_stdio(false); + cin.tie(nullptr); + + cin >> n; + + for (int i = 1, u, v, w; i <= n; i++) { + cin >> u >> v >> w; + + g[u].emplace_back(v, w); + g[v].emplace_back(u, w); + } + + dfs(1, 0); + std::reverse(circle.begin(), circle.end()); + std::fill(std::begin(vis), std::end(vis), false); + std::fill(std::begin(dist), std::end(dist), INF); + + for (int i = 1; i <= circle.size(); i++) { + int u = circle[i - 1].first; + + on_circle[u] = false; + + auto o = bfs(u); + + dep[i] = o.second; + ans1 = std::max(ans1, bfs(o.first).second); + + on_circle[u] = true; + } + + for (int i = 2; i <= circle.size(); i++) { + pre[i] = pre[i - 1] + circle[i - 1].second; + } + + for (int i = circle.size() - 1; i; i--) { + suf[i] = suf[i + 1] + circle[i].second; + } + + for (int i = 1; i <= circle.size(); i++) { + a[i] = std::max(a[i - 1], dep[i] + pre[i]); + } + + for (int i = circle.size(); i; i--) { + b[i] = std::max(b[i + 1], dep[i] + suf[i]); + } + + long long max = 0; + for (int i = 1; i <= circle.size(); i++) { + c[i] = std::max(c[i - 1], max + dep[i] + pre[i]); + max = std::max(max, dep[i] - pre[i]); + } + + max = 0; + for (int i = circle.size(); i; i--) { + d[i] = std::max(d[i + 1], max + dep[i] + suf[i]); + max = std::max(max, dep[i] - suf[i]); + } + + ans2 = INF; + for (int i = 1; i < circle.size(); i++) { + ans2 = std::min(ans2, std::max({a[i] + b[i + 1] + circle[0].second, c[i], d[i + 1]})); + } + + cout << std::fixed << std::setprecision(1) << static_cast(std::max(ans1, ans2)) / 2 << endl; + + return 0; +} diff --git a/LibreOJ/2669/data/foodshop1.ans b/LibreOJ/2669/data/foodshop1.ans new file mode 100644 index 00000000..3602cf7e --- /dev/null +++ b/LibreOJ/2669/data/foodshop1.ans @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:214a41a4198de01a387c92bff37cc880f23de587f53ac0c9f688d56a77e43d74 +size 5 diff --git a/LibreOJ/2669/data/foodshop1.in b/LibreOJ/2669/data/foodshop1.in new file mode 100644 index 00000000..7e10521c --- /dev/null +++ b/LibreOJ/2669/data/foodshop1.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:f81c5b35a9353793e8852c7863fd7a92c6d078cf46bded5f777179c61fa4f6f0 +size 76 diff --git a/LibreOJ/2669/data/foodshop10.ans b/LibreOJ/2669/data/foodshop10.ans new file mode 100644 index 00000000..a19ee778 --- /dev/null +++ b/LibreOJ/2669/data/foodshop10.ans @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:86ad7f78b16378076726ae878aba94cab73e57ec38b00eb67005e5b1b8631941 +size 15 diff --git a/LibreOJ/2669/data/foodshop10.in b/LibreOJ/2669/data/foodshop10.in new file mode 100644 index 00000000..ad0de7b0 --- /dev/null +++ b/LibreOJ/2669/data/foodshop10.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:1c2baa7b18bc801388c01fc4354d3b061a50a9ab7f655b11754db56e1f227f5a +size 35237 diff --git a/LibreOJ/2669/data/foodshop11.ans b/LibreOJ/2669/data/foodshop11.ans new file mode 100644 index 00000000..b6120fe5 --- /dev/null +++ b/LibreOJ/2669/data/foodshop11.ans @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:9b74236807a9a207337660eb5de0453848cab9c7ca8756fdaff0c19fcdb69e51 +size 16 diff --git a/LibreOJ/2669/data/foodshop11.in b/LibreOJ/2669/data/foodshop11.in new file mode 100644 index 00000000..f4b830e0 --- /dev/null +++ b/LibreOJ/2669/data/foodshop11.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:92a14724ceb3a5b765b22001b4ba7cc70ec8428a3bc549af5e5daf112080dc33 +size 39434 diff --git a/LibreOJ/2669/data/foodshop12.ans b/LibreOJ/2669/data/foodshop12.ans new file mode 100644 index 00000000..8ca1135f --- /dev/null +++ b/LibreOJ/2669/data/foodshop12.ans @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:85b5800ba90d36957cb9e02e2fa6f5408d12b1561508377937145254823c1a72 +size 14 diff --git a/LibreOJ/2669/data/foodshop12.in b/LibreOJ/2669/data/foodshop12.in new file mode 100644 index 00000000..98673618 --- /dev/null +++ b/LibreOJ/2669/data/foodshop12.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:86a6f2d4ff516e5b9e501ce29c72a00be0e472cb662733c68d65b1c852b45da5 +size 38549 diff --git a/LibreOJ/2669/data/foodshop13.ans b/LibreOJ/2669/data/foodshop13.ans new file mode 100644 index 00000000..59f7a523 --- /dev/null +++ b/LibreOJ/2669/data/foodshop13.ans @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:cf95453921655e8e520ba563d35f1c45a24f066afd2bcf5e116489d5aeef7271 +size 15 diff --git a/LibreOJ/2669/data/foodshop13.in b/LibreOJ/2669/data/foodshop13.in new file mode 100644 index 00000000..55987f36 --- /dev/null +++ b/LibreOJ/2669/data/foodshop13.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:44cab7dcbe09af2cc21e010344dd8392621eadaf758e70101dc384d843186176 +size 432128 diff --git a/LibreOJ/2669/data/foodshop14.ans b/LibreOJ/2669/data/foodshop14.ans new file mode 100644 index 00000000..47784ca3 --- /dev/null +++ b/LibreOJ/2669/data/foodshop14.ans @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:55fefc22ee425cd0e78f2918dfafabbfdc5cd86d883f665525f0c8098e2019cc +size 17 diff --git a/LibreOJ/2669/data/foodshop14.in b/LibreOJ/2669/data/foodshop14.in new file mode 100644 index 00000000..ba075b7e --- /dev/null +++ b/LibreOJ/2669/data/foodshop14.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:1c91e756a76343986e679e1335b50d64a5d9ef53a9be9a4375a28cff392e57e9 +size 890409 diff --git 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