// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #include <x86intrin.h>
#include <bits/stdc++.h>
#include <chrono>
#include <random>
// @author: Vlapos
namespace operators
{
template <typename T1, typename T2>
std::istream &operator>>(std::istream &in, std::pair<T1, T2> &x)
{
in >> x.first >> x.second;
return in;
}
template <typename T1, typename T2>
std::ostream &operator<<(std::ostream &out, std::pair<T1, T2> x)
{
out << x.first << " " << x.second;
return out;
}
template <typename T1>
std::istream &operator>>(std::istream &in, std::vector<T1> &x)
{
for (auto &i : x)
in >> i;
return in;
}
template <typename T1>
std::ostream &operator<<(std::ostream &out, std::vector<T1> &x)
{
for (auto &i : x)
out << i << " ";
return out;
}
template <typename T1>
std::ostream &operator<<(std::ostream &out, std::set<T1> &x)
{
for (auto &i : x)
out << i << " ";
return out;
}
template <typename T1>
std::ostream &operator<<(std::ostream &out, std::multiset<T1> &x)
{
for (auto &i : x)
out << i << " ";
return out;
}
}
// name spaces
using namespace std;
using namespace operators;
// end of name spaces
// defines
#define ll long long
#define ull unsigned long long
#define pb push_back
#define mp make_pair
#define pii pair<int, int>
#define pll pair<ll, ll>
#define f first
#define s second
#define uint unsigned int
#define all(vc) vc.begin(), vc.end()
// end of defines
// usefull stuff
void boost()
{
ios_base ::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
}
inline int getbit(int &x, int &bt) { return (x >> bt) & 1; }
const int dx4[4] = {-1, 0, 0, 1};
const int dy4[4] = {0, -1, 1, 0};
const int dx8[8] = {-1, -1, -1, 0, 0, 1, 1, 1};
const int dy8[8] = {-1, -0, 1, -1, 1, -1, 0, 1};
const ll INF = (1e18) + 500;
const int BIG = (1e9) * 2 + 100;
const int MAXN = (1e5) + 5;
const int MOD7 = (1e9) + 7;
const int MOD9 = (1e9) + 9;
const uint MODFFT = 998244353;
#define int ll
struct segTreeSum
{
vector<ll> tree;
int sz;
void init(int n)
{
sz = n;
tree.resize(2 * sz);
}
void build(vector<int> &a)
{
init(a.size());
for (int i = 0; i < a.size(); ++i)
tree[i + sz] = a[sz];
for (int i = sz - 1; i > 0; --i)
tree[i] = tree[i << 1] + tree[(i << 1) + 1];
}
int get(int l, int r) // [l, r)
{
l += sz;
r += sz;
int res = 0;
while (l < r)
{
if (l & 1)
res += tree[l++];
if (r & 1)
res += tree[--r];
l >>= 1;
r >>= 1;
}
return res;
}
void add(int pos, int val)
{
pos += sz;
tree[pos] += val;
pos >>= 1;
while (pos)
{
tree[pos] = tree[pos << 1] + tree[(pos << 1) + 1];
pos >>= 1;
}
}
};
struct test
{
int n, k;
vector<pii> els;
vector<int> vals, rval;
segTreeSum tree;
int check(int x)
{
int u = 0;
ll cnt = 0;
for (int i = 0; i < n; ++i)
{
while (els[u].f <= els[i].f + x and u < n)
tree.add(rval[u++], 1);
tree.add(rval[i], -1);
cnt += tree.get(0, upper_bound(all(vals), els[i].s + x) - vals.begin()) - tree.get(0, lower_bound(all(vals), els[i].s - x) - vals.begin());
}
for (int i = 0; i < 2 * vals.size(); ++i)
tree.tree[i] = 0;
return cnt;
}
void solve(int testcase)
{
boost();
cin >> n >> k;
for (int i = 0; i < n; ++i)
{
int x, y;
cin >> x >> y;
els.pb({x + y, x - y});
vals.pb(x - y);
}
vals.pb(-BIG);
vals.pb(BIG);
sort(all(vals));
vals.erase(unique(all(vals)), vals.end());
sort(all(els));
rval.resize(n);
for (int i = 0; i < n; ++i)
rval[i] = lower_bound(all(vals), els[i].s) - vals.begin();
tree.init(2 * n);
int L = -1, R = 4e9 + 10;
while (R - L > 1)
{
int M = (L + R) >> 1;
if (check(M) < k)
L = M;
else
R = M;
}
vector<int> res;
{
multiset<pii> cur;
int u = 0, x = L;
for (int i = 0; i < n; ++i)
{
while (els[u].f <= els[i].f + x and u < n)
{
cur.insert({els[u].s, els[u].f});
++u;
}
cur.erase(cur.find({els[i].s, els[i].f}));
auto it = cur.lower_bound({els[i].s - x, -BIG});
while (it != cur.end() and abs(it->f - els[i].s) <= x)
{
res.pb(max(abs(it->f - els[i].s), abs(it->s - els[i].f)));
it = next(it);
}
}
}
sort(all(res));
for (auto el : res)
cout << el << '\n';
for (int i = 0; res.size() + i < k; ++i)
cout << L + 1 << '\n';
}
};
main()
{
boost();
int q = 1;
// cin >> q;
for (int i = 0; i < q; i++)
{
test t;
t.solve(i);
}
return 0;
}
//[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]//
// //
// Coded by Der_Vlἀpos //
// //
//[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]//
