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| #include <bits/stdc++.h>
using namespace std;
const double eps = 1e-10; const double pi = 3.1415926535897932384626433832795; const double eln = 2.718281828459045235360287471352;
#define f(i, a, b) for (int i = a; i <= b; i++) #define scan(x) scanf("%d", &x) #define mp make_pair #define pb push_back #define lowbit(x) (x&(-x))
#define fi first #define se second #define SZ(x) int((x).size()) #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define summ(a) (accumulate(all(a), 0ll))
typedef unsigned long long ull; typedef pair<int,int> pii; typedef vector<int> vi;
using ll=long long;
struct dsu{ vector<int> fa,sz; dsu(int n){ fa.resize(n+1),sz.resize(n+1); for(int i=1;i<=n;++i)fa[i]=i,sz[i]=1; } int fnd(int x){ return fa[x]==x?x:fa[x]=fnd(fa[x]); } bool merge(int x ,int y){ int oa=fnd(x),ob=fnd(y); if(oa!=ob){ fa[ob]=oa,sz[oa]+=sz[ob]; return true; } return false; } };
int tt,n,k,b[(int)1e5+9]; int main() { ios::sync_with_stdio(false); cin.tie(0); cin>>tt; while(tt--){ cin>>n>>k; dsu d(n); vector<vector<int>> g(n+1,vector<int>()); vector<int> dis(n+1,0); bool same=true; for(int i=1;i<=n;++i){ cin>>b[i]; d.merge(i,b[i]),g[i].push_back(b[i]); same&=b[i]==i; }
auto dfs=[&](auto self,int u,int fa,int dep)->ll{ dis[u]=dep; ll res=0ll; for(auto it:g[u]){ if(dis[it])res=max(res,dep-dis[it]+1ll); else res=max(res,self(self,it,u,dep+1)); } return res; };
bool ok=true; if(k==1&&!same)ok=false; f(i,1,n)if(d.fnd(i)==i)ok&=dfs(dfs,i,0,1)==k; cout<<(ok?"YES\n":"NO\n");
} return 0; }
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