From b7526c13af8d0441dad8678d5660ebbd200c71f1 Mon Sep 17 00:00:00 2001 From: Baoshuo Date: Wed, 21 Sep 2022 22:21:52 +0800 Subject: [PATCH] =?UTF-8?q?#1586.=20=E3=80=902022.9.21=20NOIP=20=E6=A8=A1?= =?UTF-8?q?=E6=8B=9F=E8=B5=9B=E3=80=91=E5=8F=A3=E7=B2=AE=E8=BE=93=E9=80=81?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit https://sjzezoj.com/submission/57466 --- S2OJ/1586/1586.cpp | 128 +++++++++++++++++++++++++++++++++++ S2OJ/1586/data/ex_trans1.ans | 3 + S2OJ/1586/data/ex_trans1.in | 3 + S2OJ/1586/data/ex_trans2.ans | 3 + S2OJ/1586/data/ex_trans2.in | 3 + S2OJ/1586/data/ex_trans3.ans | 3 + S2OJ/1586/data/ex_trans3.in | 3 + S2OJ/1586/data/ex_trans4.ans | 3 + S2OJ/1586/data/ex_trans4.in | 3 + S2OJ/1586/data/problem.conf | 3 + S2OJ/1586/data/trans1.ans | 3 + S2OJ/1586/data/trans1.in | 3 + S2OJ/1586/data/trans10.ans | 3 + S2OJ/1586/data/trans10.in | 3 + S2OJ/1586/data/trans2.ans | 3 + S2OJ/1586/data/trans2.in | 3 + S2OJ/1586/data/trans3.ans | 3 + S2OJ/1586/data/trans3.in | 3 + S2OJ/1586/data/trans4.ans | 3 + S2OJ/1586/data/trans4.in | 3 + S2OJ/1586/data/trans5.ans | 3 + S2OJ/1586/data/trans5.in | 3 + S2OJ/1586/data/trans6.ans | 3 + S2OJ/1586/data/trans6.in | 3 + S2OJ/1586/data/trans7.ans | 3 + S2OJ/1586/data/trans7.in | 3 + S2OJ/1586/data/trans8.ans | 3 + S2OJ/1586/data/trans8.in | 3 + S2OJ/1586/data/trans9.ans | 3 + S2OJ/1586/data/trans9.in | 3 + 30 files changed, 215 insertions(+) create mode 100644 S2OJ/1586/1586.cpp create mode 100644 S2OJ/1586/data/ex_trans1.ans create mode 100644 S2OJ/1586/data/ex_trans1.in create mode 100644 S2OJ/1586/data/ex_trans2.ans create mode 100644 S2OJ/1586/data/ex_trans2.in create mode 100644 S2OJ/1586/data/ex_trans3.ans create mode 100644 S2OJ/1586/data/ex_trans3.in create mode 100644 S2OJ/1586/data/ex_trans4.ans create mode 100644 S2OJ/1586/data/ex_trans4.in create mode 100644 S2OJ/1586/data/problem.conf create mode 100644 S2OJ/1586/data/trans1.ans create mode 100644 S2OJ/1586/data/trans1.in create mode 100644 S2OJ/1586/data/trans10.ans create mode 100644 S2OJ/1586/data/trans10.in create mode 100644 S2OJ/1586/data/trans2.ans create mode 100644 S2OJ/1586/data/trans2.in create mode 100644 S2OJ/1586/data/trans3.ans create mode 100644 S2OJ/1586/data/trans3.in create mode 100644 S2OJ/1586/data/trans4.ans create mode 100644 S2OJ/1586/data/trans4.in create mode 100644 S2OJ/1586/data/trans5.ans create mode 100644 S2OJ/1586/data/trans5.in create mode 100644 S2OJ/1586/data/trans6.ans create mode 100644 S2OJ/1586/data/trans6.in create mode 100644 S2OJ/1586/data/trans7.ans create mode 100644 S2OJ/1586/data/trans7.in create mode 100644 S2OJ/1586/data/trans8.ans create mode 100644 S2OJ/1586/data/trans8.in create mode 100644 S2OJ/1586/data/trans9.ans create mode 100644 S2OJ/1586/data/trans9.in diff --git a/S2OJ/1586/1586.cpp b/S2OJ/1586/1586.cpp new file mode 100644 index 00000000..297867fb --- /dev/null +++ b/S2OJ/1586/1586.cpp @@ -0,0 +1,128 @@ +#include +#include +#include +#include +#include +#include + +using std::cin; +using std::cout; +const char endl = '\n'; + +const int INF = 0x3f3f3f3f; + +class DSU { + private: + std::vector fa; + + public: + DSU(int _n = 0) + : fa(_n) { + std::iota(fa.begin(), fa.end(), 0); + } + + int find(int x) { + return fa[x] == x ? x : fa[x] = find(fa[x]); + } + + bool merge(int x, int y) { + x = find(x); + y = find(y); + + fa[x] = y; + + return x != y; + } +}; + +int main() { + std::ios::sync_with_stdio(false); + cin.tie(nullptr); + + int t; + + cin >> t; + + while (t--) { + int n, m; + + cin >> n >> m; + + std::vector a(n), b(n); + std::vector> edges; + std::vector f(1 << n, false); + + for (int i = 0, u, v, w; i < m; i++) { + cin >> u >> v >> w; + + edges.emplace_back(u - 1, v - 1, w); + } + + for (int i = 0; i < n; i++) { + cin >> a[i] >> b[i]; + } + + auto check = [&](int s) -> bool { + auto in_block = [&](int x) -> bool { + return s >> x & 1; + }; + + int sum = 0, root = 0; + DSU dsu(n); + std::vector> block_edges; + + for (auto& edge : edges) { + int u, v; + + std::tie(u, v, std::ignore) = edge; + + if (in_block(u) && in_block(v)) { + block_edges.emplace_back(edge); + } + } + + std::sort(block_edges.begin(), block_edges.end(), [](auto& lhs, auto& rhs) { + return std::get<2>(lhs) < std::get<2>(rhs); + }); + + for (int i = 0; i < n; i++) { + if (in_block(i)) sum += a[i] - b[i]; + } + + for (auto& edge : block_edges) { + int u, v, w; + + std::tie(u, v, w) = edge; + + if (dsu.merge(u, v)) sum -= w; + } + + for (int i = 0; i < n; i++) { + if (in_block(i) && dsu.find(i) == i) { + root = i; + } + } + + for (int i = 0; i < n; i++) { + if (in_block(i) && dsu.find(i) != root) { + return false; + } + } + + return sum >= 0; + }; + + f[0] = true; + for (int s = 1; s < 1 << n; s++) { + f[s] = check(s); + + for (int i = s; i; i = (i - 1) & s) { + f[s] = f[s] || f[i] && f[s ^ i]; + } + } + + cout << (f[(1 << n) - 1] ? "Yes" : "No") << endl; + } + + return 0; +} diff --git a/S2OJ/1586/data/ex_trans1.ans b/S2OJ/1586/data/ex_trans1.ans new file mode 100644 index 00000000..9ff07567 --- /dev/null +++ b/S2OJ/1586/data/ex_trans1.ans @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:c0ad16096fbde1a1d8a06dc33088e1430035c91a772a6e275093bf9d98909dc9 +size 7 diff --git a/S2OJ/1586/data/ex_trans1.in b/S2OJ/1586/data/ex_trans1.in new file mode 100644 index 00000000..745beadb --- /dev/null +++ b/S2OJ/1586/data/ex_trans1.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:b4f6ff72d0dc591a50e07223687c138da541db61c2c36648c466814b46d66fa7 +size 70 diff --git a/S2OJ/1586/data/ex_trans2.ans b/S2OJ/1586/data/ex_trans2.ans new file mode 100644 index 00000000..de4ec137 --- /dev/null +++ b/S2OJ/1586/data/ex_trans2.ans @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:beba6e067712c15ccc3840937d9790da2be7cc9204f31fc16c0de87d4b58f24e +size 33 diff --git 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