From c361a8e1c274d4914d8117dacc9c34b903b40e68 Mon Sep 17 00:00:00 2001 From: Baoshuo Date: Thu, 22 Dec 2022 21:31:31 +0800 Subject: [PATCH] =?UTF-8?q?4720.=20[Noip2016]=20=E6=8D=A2=E6=95=99?= =?UTF-8?q?=E5=AE=A4?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit https://hydro.ac/d/bzoj/record/63a45c2bb053be17396a03b2 --- BZOJ/4720/4720.cpp | 92 +++++++++++++++++++++++++++++++++++++++++++ BZOJ/4720/data/1.in | 3 ++ BZOJ/4720/data/1.out | 3 ++ BZOJ/4720/data/10.in | 3 ++ BZOJ/4720/data/10.out | 3 ++ BZOJ/4720/data/11.in | 3 ++ BZOJ/4720/data/11.out | 3 ++ BZOJ/4720/data/12.in | 3 ++ BZOJ/4720/data/12.out | 3 ++ BZOJ/4720/data/13.in | 3 ++ BZOJ/4720/data/13.out | 3 ++ BZOJ/4720/data/14.in | 3 ++ BZOJ/4720/data/14.out | 3 ++ BZOJ/4720/data/15.in | 3 ++ BZOJ/4720/data/15.out | 3 ++ BZOJ/4720/data/16.in | 3 ++ BZOJ/4720/data/16.out | 3 ++ BZOJ/4720/data/17.in | 3 ++ BZOJ/4720/data/17.out | 3 ++ BZOJ/4720/data/18.in | 3 ++ BZOJ/4720/data/18.out | 3 ++ BZOJ/4720/data/19.in | 3 ++ BZOJ/4720/data/19.out | 3 ++ BZOJ/4720/data/2.in | 3 ++ BZOJ/4720/data/2.out | 3 ++ BZOJ/4720/data/20.in | 3 ++ BZOJ/4720/data/20.out | 3 ++ BZOJ/4720/data/21.in | 3 ++ BZOJ/4720/data/21.out | 3 ++ BZOJ/4720/data/22.in | 3 ++ BZOJ/4720/data/22.out | 3 ++ BZOJ/4720/data/23.in | 3 ++ BZOJ/4720/data/23.out | 3 ++ BZOJ/4720/data/24.in | 3 ++ BZOJ/4720/data/24.out | 3 ++ BZOJ/4720/data/25.in | 3 ++ BZOJ/4720/data/25.out | 3 ++ BZOJ/4720/data/26.in | 3 ++ BZOJ/4720/data/26.out | 3 ++ BZOJ/4720/data/27.in | 3 ++ BZOJ/4720/data/27.out | 3 ++ BZOJ/4720/data/28.in | 3 ++ BZOJ/4720/data/28.out | 3 ++ BZOJ/4720/data/29.in | 3 ++ BZOJ/4720/data/29.out | 3 ++ BZOJ/4720/data/3.in | 3 ++ BZOJ/4720/data/3.out | 3 ++ BZOJ/4720/data/30.in | 3 ++ BZOJ/4720/data/30.out | 3 ++ BZOJ/4720/data/31.in | 3 ++ BZOJ/4720/data/31.out | 3 ++ BZOJ/4720/data/32.in | 3 ++ BZOJ/4720/data/32.out | 3 ++ BZOJ/4720/data/33.in | 3 ++ BZOJ/4720/data/33.out | 3 ++ BZOJ/4720/data/34.in | 3 ++ BZOJ/4720/data/34.out | 3 ++ BZOJ/4720/data/35.in | 3 ++ BZOJ/4720/data/35.out | 3 ++ BZOJ/4720/data/36.in | 3 ++ BZOJ/4720/data/36.out | 3 ++ BZOJ/4720/data/37.in | 3 ++ BZOJ/4720/data/37.out | 3 ++ BZOJ/4720/data/38.in | 3 ++ BZOJ/4720/data/38.out | 3 ++ BZOJ/4720/data/39.in | 3 ++ BZOJ/4720/data/39.out | 3 ++ BZOJ/4720/data/4.in | 3 ++ BZOJ/4720/data/4.out | 3 ++ BZOJ/4720/data/40.in | 3 ++ BZOJ/4720/data/40.out | 3 ++ BZOJ/4720/data/41.in | 3 ++ BZOJ/4720/data/41.out | 3 ++ BZOJ/4720/data/42.in | 3 ++ BZOJ/4720/data/42.out | 3 ++ BZOJ/4720/data/43.in | 3 ++ BZOJ/4720/data/43.out | 3 ++ BZOJ/4720/data/44.in | 3 ++ BZOJ/4720/data/44.out | 3 ++ BZOJ/4720/data/45.in | 3 ++ BZOJ/4720/data/45.out | 3 ++ BZOJ/4720/data/46.in | 3 ++ BZOJ/4720/data/46.out | 3 ++ BZOJ/4720/data/47.in | 3 ++ BZOJ/4720/data/47.out | 3 ++ BZOJ/4720/data/48.in | 3 ++ BZOJ/4720/data/48.out | 3 ++ BZOJ/4720/data/49.in | 3 ++ BZOJ/4720/data/49.out | 3 ++ BZOJ/4720/data/5.in | 3 ++ BZOJ/4720/data/5.out | 3 ++ BZOJ/4720/data/50.in | 3 ++ BZOJ/4720/data/50.out | 3 ++ BZOJ/4720/data/6.in | 3 ++ BZOJ/4720/data/6.out | 3 ++ BZOJ/4720/data/7.in | 3 ++ BZOJ/4720/data/7.out | 3 ++ BZOJ/4720/data/8.in | 3 ++ BZOJ/4720/data/8.out | 3 ++ BZOJ/4720/data/9.in | 3 ++ BZOJ/4720/data/9.out | 3 ++ 101 files changed, 392 insertions(+) create mode 100644 BZOJ/4720/4720.cpp create mode 100644 BZOJ/4720/data/1.in create mode 100644 BZOJ/4720/data/1.out create mode 100644 BZOJ/4720/data/10.in create mode 100644 BZOJ/4720/data/10.out create mode 100644 BZOJ/4720/data/11.in create mode 100644 BZOJ/4720/data/11.out create mode 100644 BZOJ/4720/data/12.in create mode 100644 BZOJ/4720/data/12.out create mode 100644 BZOJ/4720/data/13.in create mode 100644 BZOJ/4720/data/13.out create mode 100644 BZOJ/4720/data/14.in create mode 100644 BZOJ/4720/data/14.out create mode 100644 BZOJ/4720/data/15.in create mode 100644 BZOJ/4720/data/15.out create mode 100644 BZOJ/4720/data/16.in create mode 100644 BZOJ/4720/data/16.out create mode 100644 BZOJ/4720/data/17.in create mode 100644 BZOJ/4720/data/17.out create mode 100644 BZOJ/4720/data/18.in create mode 100644 BZOJ/4720/data/18.out create mode 100644 BZOJ/4720/data/19.in create mode 100644 BZOJ/4720/data/19.out create mode 100644 BZOJ/4720/data/2.in create mode 100644 BZOJ/4720/data/2.out create mode 100644 BZOJ/4720/data/20.in create mode 100644 BZOJ/4720/data/20.out create mode 100644 BZOJ/4720/data/21.in create mode 100644 BZOJ/4720/data/21.out create mode 100644 BZOJ/4720/data/22.in create mode 100644 BZOJ/4720/data/22.out create mode 100644 BZOJ/4720/data/23.in create mode 100644 BZOJ/4720/data/23.out create mode 100644 BZOJ/4720/data/24.in create mode 100644 BZOJ/4720/data/24.out create mode 100644 BZOJ/4720/data/25.in create mode 100644 BZOJ/4720/data/25.out create mode 100644 BZOJ/4720/data/26.in create mode 100644 BZOJ/4720/data/26.out create mode 100644 BZOJ/4720/data/27.in create mode 100644 BZOJ/4720/data/27.out create mode 100644 BZOJ/4720/data/28.in create mode 100644 BZOJ/4720/data/28.out create mode 100644 BZOJ/4720/data/29.in create mode 100644 BZOJ/4720/data/29.out create mode 100644 BZOJ/4720/data/3.in create mode 100644 BZOJ/4720/data/3.out create mode 100644 BZOJ/4720/data/30.in create mode 100644 BZOJ/4720/data/30.out create mode 100644 BZOJ/4720/data/31.in create mode 100644 BZOJ/4720/data/31.out create mode 100644 BZOJ/4720/data/32.in create mode 100644 BZOJ/4720/data/32.out create mode 100644 BZOJ/4720/data/33.in create mode 100644 BZOJ/4720/data/33.out create mode 100644 BZOJ/4720/data/34.in create mode 100644 BZOJ/4720/data/34.out create mode 100644 BZOJ/4720/data/35.in create mode 100644 BZOJ/4720/data/35.out create mode 100644 BZOJ/4720/data/36.in create mode 100644 BZOJ/4720/data/36.out create mode 100644 BZOJ/4720/data/37.in create mode 100644 BZOJ/4720/data/37.out create mode 100644 BZOJ/4720/data/38.in create mode 100644 BZOJ/4720/data/38.out create mode 100644 BZOJ/4720/data/39.in create mode 100644 BZOJ/4720/data/39.out create mode 100644 BZOJ/4720/data/4.in create mode 100644 BZOJ/4720/data/4.out create mode 100644 BZOJ/4720/data/40.in create mode 100644 BZOJ/4720/data/40.out create mode 100644 BZOJ/4720/data/41.in create mode 100644 BZOJ/4720/data/41.out create mode 100644 BZOJ/4720/data/42.in create mode 100644 BZOJ/4720/data/42.out create mode 100644 BZOJ/4720/data/43.in create mode 100644 BZOJ/4720/data/43.out create mode 100644 BZOJ/4720/data/44.in create mode 100644 BZOJ/4720/data/44.out create mode 100644 BZOJ/4720/data/45.in create mode 100644 BZOJ/4720/data/45.out create mode 100644 BZOJ/4720/data/46.in create mode 100644 BZOJ/4720/data/46.out create mode 100644 BZOJ/4720/data/47.in create mode 100644 BZOJ/4720/data/47.out create mode 100644 BZOJ/4720/data/48.in create mode 100644 BZOJ/4720/data/48.out create mode 100644 BZOJ/4720/data/49.in create mode 100644 BZOJ/4720/data/49.out create mode 100644 BZOJ/4720/data/5.in create mode 100644 BZOJ/4720/data/5.out create mode 100644 BZOJ/4720/data/50.in create mode 100644 BZOJ/4720/data/50.out create mode 100644 BZOJ/4720/data/6.in create mode 100644 BZOJ/4720/data/6.out create mode 100644 BZOJ/4720/data/7.in create mode 100644 BZOJ/4720/data/7.out create mode 100644 BZOJ/4720/data/8.in create mode 100644 BZOJ/4720/data/8.out create mode 100644 BZOJ/4720/data/9.in create mode 100644 BZOJ/4720/data/9.out diff --git a/BZOJ/4720/4720.cpp b/BZOJ/4720/4720.cpp new file mode 100644 index 00000000..f6e87f90 --- /dev/null +++ b/BZOJ/4720/4720.cpp @@ -0,0 +1,92 @@ +#include +#include +#include +#include + +using std::cin; +using std::cout; +const char endl = '\n'; + +const int N = 2005, + V = 305; + +int n, m, v, e, c[N], d[N], g[V][V]; +double p[N], f[N][N][2], ans = 1e9; + +int main() { + std::ios::sync_with_stdio(false); + cin.tie(nullptr); + + cin >> n >> m >> v >> e; + + memset(g, 0x3f, sizeof(g)); + + for (int i = 1; i <= n; i++) { + cin >> c[i]; + } + + for (int i = 1; i <= n; i++) { + cin >> d[i]; + } + + for (int i = 1; i <= n; i++) { + cin >> p[i]; + } + + for (int i = 1; i <= v; i++) { + g[i][i] = 0; + } + + for (int i = 1, a, b, w; i <= e; i++) { + cin >> a >> b >> w; + + g[a][b] = g[b][a] = std::min(g[a][b], w); + } + + for (int k = 1; k <= v; k++) { + for (int i = 1; i <= v; i++) { + for (int j = 1; j <= v; j++) { + g[i][j] = std::min(g[i][j], g[i][k] + g[k][j]); + } + } + } + + for (int i = 1; i <= n; i++) { + for (int j = 0; j <= m; j++) { + f[i][j][0] = f[i][j][1] = 1e9; + } + } + + f[1][0][0] = f[1][1][1] = 0; + + for (int i = 2; i <= n; i++) { + for (int j = 0; j <= std::min(m, i); j++) { + f[i][j][0] = std::min( + f[i - 1][j][0] + + g[c[i - 1]][c[i]], + f[i - 1][j][1] + + p[i - 1] * g[d[i - 1]][c[i]] + + (1.0 - p[i - 1]) * g[c[i - 1]][c[i]]); + + if (j) { + f[i][j][1] = std::min( + f[i - 1][j - 1][0] + + p[i] * g[c[i - 1]][d[i]] + + (1.0 - p[i]) * g[c[i - 1]][c[i]], + f[i - 1][j - 1][1] + + p[i - 1] * p[i] * g[d[i - 1]][d[i]] + + (1.0 - p[i - 1]) * p[i] * g[c[i - 1]][d[i]] + + p[i - 1] * (1.0 - p[i]) * g[d[i - 1]][c[i]] + + (1.0 - p[i - 1]) * (1.0 - p[i]) * g[c[i - 1]][c[i]]); + } + } + } + + for (int i = 0; i <= m; i++) { + ans = std::min({ans, f[n][i][0], f[n][i][1]}); + } + + cout << std::fixed << std::setprecision(2) << ans << endl; + + return 0; +} diff --git a/BZOJ/4720/data/1.in b/BZOJ/4720/data/1.in new file mode 100644 index 00000000..3ff4cf72 --- /dev/null +++ b/BZOJ/4720/data/1.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:e1e723ad6bdcc378a0faa7ecf813461cb0909151c9380360afda8f860f04e5fa +size 10588 diff --git a/BZOJ/4720/data/1.out b/BZOJ/4720/data/1.out new file mode 100644 index 00000000..dac70dd5 --- /dev/null +++ b/BZOJ/4720/data/1.out @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:d0733ad31216601d219c64588c671d6f56993834f5a0a430c41b214b330fb597 +size 8 diff --git a/BZOJ/4720/data/10.in b/BZOJ/4720/data/10.in new file mode 100644 index 00000000..df49a662 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