diff --git a/S2OJ/1515/1515.cpp b/S2OJ/1515/1515.cpp new file mode 100644 index 00000000..facf712b --- /dev/null +++ b/S2OJ/1515/1515.cpp @@ -0,0 +1,127 @@ +#include +#include +#include +#include + +using std::cin; +using std::cout; +const char endl = '\n'; + +const int N = 5e5 + 5; + +int n, m, cnt, father[N]; +int dep[N], id[N], siz[N], fa[N], son[N], top[N], w[N]; +std::tuple edges[N]; +std::vector> g[N]; + +void dfs1(int u, int f) { + fa[u] = father[u] = f; + dep[u] = dep[f] + 1; + siz[u] = 1; + + for (auto e : g[u]) { + int v = e.first, + i = e.second; + + if (v == f) continue; + + id[v] = i; + dfs1(v, u); + siz[u] += siz[v]; + + if (siz[son[u]] < siz[v]) son[u] = v; + } +} + +void dfs2(int u, int t) { + top[u] = t; + + if (!son[u]) return; + + dfs2(son[u], t); + + for (auto e : g[u]) { + int v = e.first; + + if (v == fa[u]) continue; + if (v == son[u]) continue; + + dfs2(v, v); + } +} + +int lca(int u, int v) { + while (top[u] != top[v]) { + if (dep[top[u]] < dep[top[v]]) std::swap(u, v); + u = fa[top[u]]; + } + return dep[u] < dep[v] ? u : v; +} + +int main() { + std::ios::sync_with_stdio(false); + cin.tie(nullptr); + + cin >> n >> m; + + for (int i = 1, u, v, c; i <= m; i++) { + cin >> u >> v >> c; + + if (c) { + g[u].emplace_back(v, i); + g[v].emplace_back(u, i); + } + + edges[i] = std::make_tuple(u, v, c, 0); + } + + dfs1(1, 1); + dfs2(1, 1); + + for (int i = 1; i <= m; i++) { + if (std::get<3>(edges[i])) continue; + + if (!std::get<2>(edges[i])) { + int u = std::get<0>(edges[i]), + v = std::get<1>(edges[i]), + l = lca(u, v); + std::vector ids; + + while (dep[u] > dep[l]) { + if (!std::get<3>(edges[id[u]])) { + ids.push_back(id[u]); + } + + int t = father[u]; + father[u] = l; + u = t; + } + + while (dep[v] > dep[l]) { + if (!std::get<3>(edges[id[v]])) { + ids.push_back(id[v]); + } + + int t = father[v]; + father[v] = l; + v = t; + } + + std::sort(ids.begin(), ids.end()); + + for (int id : ids) { + std::get<3>(edges[id]) = ++cnt; + } + } + + std::get<3>(edges[i]) = ++cnt; + } + + for (int i = 1; i <= m; i++) { + cout << std::get<3>(edges[i]) << ' '; + } + + cout << endl; + + return 0; +} diff --git a/S2OJ/1515/data/colour1.ans b/S2OJ/1515/data/colour1.ans new file mode 100644 index 00000000..e416822e --- /dev/null +++ b/S2OJ/1515/data/colour1.ans @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:f829a9d5931f43e2c10ca7fd0429eab1949322c5d06fc2e7df1ec5129084e379 +size 21 diff --git a/S2OJ/1515/data/colour1.in b/S2OJ/1515/data/colour1.in new file mode 100644 index 00000000..cc2c42bd --- /dev/null +++ b/S2OJ/1515/data/colour1.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:1e8859cd5e289378a04ce856c5b9d61e76a82d89b386a84c3645737adbeb4f51 +size 65 diff --git a/S2OJ/1515/data/colour10.ans b/S2OJ/1515/data/colour10.ans new file mode 100644 index 00000000..e7890df1 --- /dev/null +++ b/S2OJ/1515/data/colour10.ans @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid 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