This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "bits/stdc++.h"
using namespace std;
#define ar array
#define int long long
void solve(int n, int k, vector<int>& p){
vector<vector<int>> pp(n);
vector<vector<int>> d(n, vector<int>(n, 2e18));
for(int i=0;i<n;i++){
d[i][i] = 0, pp[i].push_back(i);
while(d[i][p[pp[i].back()]] == 2e18){
d[i][p[pp[i].back()]] = d[i][pp[i].back()] + 1;
pp[i].push_back(p[pp[i].back()]);
}
}
auto last = [&](int x) { return pp[x].back(); };
auto loop = [&](int x) { return p[last(x)]; };
vector<int> sz(n);
for(int i=0;i<n;i++){
sz[i] = d[i][last(i)] - d[i][loop(i)] + 1;
}
auto find = [&](int a, int b){
if(b < (int)pp[a].size()){
return pp[a][b];
}
int cnt = (b - (int)pp[a].size()) % sz[a];
return pp[a][d[a][loop(a)] + cnt];
};
vector<int> res(n);
for(int a=0;a<n;a++){
for(int b=0;b<n;b++){
if(d[0][a] > k){
res[find(0, k)]++;
} else {
if(d[b][a] > k){
res[find(b, k - d[0][a] - 1)]++;
} else {
int r = (k - d[0][a] - 1) % (d[b][a] + 1);
res[find(b, r)]++;
}
}
}
}
for(int i=0;i<n;i++) cout<<res[i]<<"\n";
}
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
//~ freopen("tmp.txt", "r", stdin);
int n; long long k; cin>>n>>k;
vector<int> p(n);
for(int i=0;i<n;i++) cin>>p[i], p[i]--;
//~ if(n <= 3000){
//~ solve(n, k, p);
//~ return 0;
//~ }
vector<int> ss, used(n);
int u=0;
while(!used[u]){
ss.push_back(u);
used[u] = 1;
u = p[u];
}
vector<int> res(n);
int sz = (int)ss.size();
res[ss[k % sz]] += (n - sz) * 1ll * n + sz;
for(int i=0;i<n;i++){
if(!used[i]) res[i] += sz;
}
for(int i=0;i<sz;i++){
res[ss[i]] += 1;
}
for(int l=2;l<sz;l++){
//~ res[ss[k % l]] += l - (k % l) - 1;
if(k % l > 0) res[ss[sz - l + k % l]] += k % l;
}
for(int l=2;l<sz;l++){
for(int p=k%l;p<sz;p+=l){
res[ss[p]] += (p - max(0ll, p - l + 1) + 1);
}
}
for(int i=0;i<n;i++){
cout<<res[i]<<"\n";
}
}
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