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#include "util.cpp"
#define all(X) begin(X), end(X)
#define sz ssize
#include "../../datastructures/sparseTable.cpp"
#include "../LCA_sparse.cpp"
void test(vector<vector<int>> &adj, int root) {
int n = adj.size();
vector<int> parent(n);
function<void(int,int)> dfs = [&](int u, int p) {
parent[u] = p;
for (int v: adj[u]) if (v != p) dfs(v, u);
};
dfs(root, -1);
function<bool(int, int)> is_ancestor = [&](int u, int v) {
while (v != -1 && u != v) v = parent[v];
return u == v;
};
function<int(int)> depth = [&](int v) {
int r = 0;
while ((v = parent[v]) != -1) r++;
return r;
};
LCA lca;
lca.init(adj, root);
for (int i = 0; i < n; i++) assert(lca.getDepth(i) == depth(i));
for (int i = 0; i < 1000; i++) {
int u = util::randint(n);
int v = util::randint(n);
int l = lca.getLCA(u, v);
assert(is_ancestor(l, u));
assert(is_ancestor(l, v));
for (int p = parent[l]; int c: adj[l]) {
if (c == p) continue;
assert(!is_ancestor(c, u) || !is_ancestor(c, v));
}
}
}
int main() {
{
// Single vertex
vector<vector<int>> adj(1);
test(adj, 0);
}
{
// Path
vector<vector<int>> adj = util::path(100);
int left = 0, mid = 40, right = 99;
util::shuffle_graph(adj, left, mid, right);
test(adj, left);
test(adj, mid);
test(adj, right);
}
{
// Random
vector<vector<int>> adj = util::random_tree(1000);
test(adj, 0);
}
}
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