From 9ef51c1399de2faed859ae6ed4b73b58af6bd950 Mon Sep 17 00:00:00 2001 From: Baoshuo Date: Sat, 11 Feb 2023 15:04:53 +0800 Subject: [PATCH] =?UTF-8?q?#1912.=20=E5=8F=98=E5=BC=82=E5=A4=A7=E8=80=81?= =?UTF-8?q?=E9=BC=A0=EF=BC=88arrest=EF=BC=89?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit https://sjzezoj.com/submission/69226 --- S2OJ/1912/1912.cpp | 116 ++++++++++++++++++++++++++++++++++ S2OJ/1912/data/arrest1.in | 3 + S2OJ/1912/data/arrest1.out | 3 + S2OJ/1912/data/arrest10.in | 3 + S2OJ/1912/data/arrest10.out | 3 + S2OJ/1912/data/arrest2.in | 3 + S2OJ/1912/data/arrest2.out | 3 + S2OJ/1912/data/arrest3.in | 3 + S2OJ/1912/data/arrest3.out | 3 + S2OJ/1912/data/arrest4.in | 3 + S2OJ/1912/data/arrest4.out | 3 + S2OJ/1912/data/arrest5.in | 3 + S2OJ/1912/data/arrest5.out | 3 + S2OJ/1912/data/arrest6.in | 3 + S2OJ/1912/data/arrest6.out | 3 + S2OJ/1912/data/arrest7.in | 3 + S2OJ/1912/data/arrest7.out | 3 + S2OJ/1912/data/arrest8.in | 3 + S2OJ/1912/data/arrest8.out | 3 + S2OJ/1912/data/arrest9.in | 3 + S2OJ/1912/data/arrest9.out | 3 + S2OJ/1912/data/ex_arrest1.in | 3 + S2OJ/1912/data/ex_arrest1.out | 3 + S2OJ/1912/data/ex_arrest2.in | 3 + S2OJ/1912/data/ex_arrest2.out | 3 + S2OJ/1912/data/problem.conf | 3 + 26 files changed, 191 insertions(+) create mode 100644 S2OJ/1912/1912.cpp create mode 100644 S2OJ/1912/data/arrest1.in create mode 100644 S2OJ/1912/data/arrest1.out create mode 100644 S2OJ/1912/data/arrest10.in create mode 100644 S2OJ/1912/data/arrest10.out create mode 100644 S2OJ/1912/data/arrest2.in create mode 100644 S2OJ/1912/data/arrest2.out create mode 100644 S2OJ/1912/data/arrest3.in create mode 100644 S2OJ/1912/data/arrest3.out create mode 100644 S2OJ/1912/data/arrest4.in create mode 100644 S2OJ/1912/data/arrest4.out create mode 100644 S2OJ/1912/data/arrest5.in create mode 100644 S2OJ/1912/data/arrest5.out create mode 100644 S2OJ/1912/data/arrest6.in create mode 100644 S2OJ/1912/data/arrest6.out create mode 100644 S2OJ/1912/data/arrest7.in create mode 100644 S2OJ/1912/data/arrest7.out create mode 100644 S2OJ/1912/data/arrest8.in create mode 100644 S2OJ/1912/data/arrest8.out create mode 100644 S2OJ/1912/data/arrest9.in create mode 100644 S2OJ/1912/data/arrest9.out create mode 100644 S2OJ/1912/data/ex_arrest1.in create mode 100644 S2OJ/1912/data/ex_arrest1.out create mode 100644 S2OJ/1912/data/ex_arrest2.in create mode 100644 S2OJ/1912/data/ex_arrest2.out create mode 100644 S2OJ/1912/data/problem.conf diff --git a/S2OJ/1912/1912.cpp b/S2OJ/1912/1912.cpp new file mode 100644 index 00000000..046e2c20 --- /dev/null +++ b/S2OJ/1912/1912.cpp @@ -0,0 +1,116 @@ +#include +#include +#include +#include +#include +#include +#include + +using std::cin; +using std::cout; +const char endl = '\n'; + +const int N = 305, + M = 3e4 + 5; +const int INF = 0x3f3f3f3f; + +int n, m, k, x[M], y[M], z[M]; +double p[N][N], f[N][N]; +std::vector> g[N]; +int dist[N]; +bool vis[N]; + +void dijkstra(int s) { + std::fill(std::begin(dist), std::end(dist), INF); + std::fill(std::begin(vis), std::end(vis), false); + + std::priority_queue, std::vector>, std::greater<>> q; + + q.emplace(0, s); + dist[s] = 0; + + while (!q.empty()) { + int u = q.top().second; + q.pop(); + + if (vis[u]) continue; + + for (auto e : g[u]) { + int v = e.first, + w = e.second; + + if (dist[v] > dist[u] + w) { + dist[v] = dist[u] + w; + + q.emplace(dist[v], v); + } + } + + vis[u] = true; + } +} + +void dfs(int u) { + if (g[u].empty()) { + std::copy(std::begin(p[u]), std::end(p[u]), std::begin(f[u])); + + return; + } + + for (auto e : g[u]) { + int v = e.first; + + dfs(v); + + for (int i = k; i; i--) { + for (int j = 1; j <= i; j++) { + f[u][i] = std::max(f[u][i], f[u][i - j] + f[v][j] / g[u].size()); + } + } + } + + for (int i = k; i; i--) { + for (int j = 1; j <= i; j++) { + f[u][i] = std::max(f[u][i], p[u][j] + f[u][i - j] * (1.0 - p[u][j])); + } + } +} + +int main() { + std::ios::sync_with_stdio(false); + cin.tie(nullptr); + + cin >> n >> m >> k; + + for (int i = 1; i <= m; i++) { + cin >> x[i] >> y[i] >> z[i]; + + g[x[i]].emplace_back(y[i], z[i]); + g[y[i]].emplace_back(x[i], z[i]); + } + + for (int i = 1; i <= n; i++) { + for (int j = 1; j <= k; j++) { + cin >> p[i][j]; + } + } + + dijkstra(1); + std::fill(std::begin(g), std::end(g), std::vector>()); + + for (int i = 1; i <= m; i++) { + if (dist[x[i]] + z[i] == dist[y[i]]) { + g[x[i]].emplace_back(y[i], 0); + } + + if (dist[y[i]] + z[i] == dist[x[i]]) { + g[y[i]].emplace_back(x[i], 0); + } + } + + dfs(1); + + cout << std::fixed << std::setprecision(6) << f[1][k] << endl; + + return 0; +} diff --git a/S2OJ/1912/data/arrest1.in b/S2OJ/1912/data/arrest1.in new file mode 100644 index 00000000..6490e4f7 --- /dev/null +++ b/S2OJ/1912/data/arrest1.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:2dea56fb70f7b893db26a0442887d5e71581e5f5b90842b845f19b862ddd6175 +size 341 diff --git a/S2OJ/1912/data/arrest1.out 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