#include <bits/stdc++.h>

#include <atcoder/all>
using ll = long long;
#define rep(i, n) for (int i = 0, i##_len = (n); i < i##_len; ++i)
#define reps(i, n) for (int i = 1, i##_len = (n); i <= i##_len; ++i)
#define rrep(i, n) for (int i = ((int)(n)-1); i >= 0; --i)
#define rreps(i, n) for (int i = ((int)(n)); i > 0; --i)
#define rep2(i, s, n) for (int i = (s); i < (int)(n); ++i)
#define repc2(i, s, n) for (int i = (s); i <= (int)(n); ++i)
constexpr int inf = 2000'000'000;
constexpr ll linf = 4000000000000000000ll;
constexpr ll M7 = 1000000007ll;
constexpr ll M09 = 1000000009ll;
constexpr ll M9 = 998244353ll;
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
using namespace std;
using namespace atcoder;
template <typename T>
inline ostream& operator<<(ostream& os, vector<T>& v) {
    for (auto& e : v) os << e << " ";
    return os;
}
template <typename T, typename U>
std::ostream& operator<<(std::ostream& os, const std::pair<T, U>& p) noexcept {
    return os << "(" << p.first << ", " << p.second << ")";
}
#ifdef ONLINE_JUDGE
#define debug(...)
#else
#define debug(...) cerr << "<" << #__VA_ARGS__ << ">: ", debug_out(__VA_ARGS__)
template <typename T>
void debug_out(T t) {
    cerr << t << endl;
}
template <typename T, typename... Args>
void debug_out(T t, Args... args) {
    cerr << t << ", ";
    debug_out(args...);
}
#endif

template <typename T>
struct BIT {
   private:
    int n, n_;
    vector<T> data[2];
    void add_(int p, int i, T x) {
        for (; i < n_; i += (i & -i)) data[p][i] += x;
    }
    T sum_(int p, int i) {
        T s(0);
        for (; i > 0; i -= (i & -i)) s += data[p][i];
        return s;
    }
    T sum__(int i) { return sum_(0, i + 1) + sum_(1, i + 1) * (i + 1); }

   public:
    BIT(int n) : n(n), n_(n + 1) {
        data[0].resize(n_, 0);
        data[1].resize(n_, 0);
    }
    BIT() {}
    void add(int l, int r, T x) {
        assert(0 <= l && l < r && r <= n);
        add_(0, l + 1, -x * l);
        add_(0, r + 1, x * r);
        add_(1, l + 1, x);
        add_(1, r + 1, -x);
    }
    void add(int i, T x) {
        assert(0 <= i && i < n);
        add(i, i + 1, x);
    }
    T sum(int l, int r) {
        assert(0 <= l && l < r && r <= n);
        return sum__(r - 1) - sum__(l - 1);
    }
    T get(int i) {
        assert(0 <= i && i < n);
        return sum__(i) - sum__(i - 1);
    }
};

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n, k;
    cin >> n >> k;
    using P = pair<int, int>;
    P _s, _g;
    cin >> _s.first >> _s.second >> _g.first >> _g.second;
    P s = {_s.first - _s.second, _s.first + _s.second};
    P g = {_g.first - _g.second, _g.first + _g.second};
    int minX = min(s.first, g.first), minY = min(s.second, g.second);
    vector<P> v(n);
    rep(i, n) {
        int a, b;
        cin >> a >> b;
        v[i] = {a - b, a + b};
        minX = min(minX, v[i].first);
        minY = min(minY, v[i].second);
    }
    rep(i, n) {
        v[i].first -= minX;
        v[i].second -= minY;
    }
    s.first -= minX;
    s.second -= minY;
    g.first -= minX;
    g.second -= minY;

    int maxX = max(s.first, g.first), maxY = max(s.second, g.second);
    rep(i, n) {
        maxX = max(maxX, v[i].first);
        maxY = max(maxY, v[i].second);
    }
    vector<int> vx, vy;
    auto [sx, sy] = s;
    auto [gx, gy] = g;
    vx.push_back(s.first);
    vx.push_back(g.first);
    vy.push_back(s.second);
    vy.push_back(g.second);

    rep(i, n) {
        auto [x, y] = v[i];
        if (s.first <= x && x <= g.first)
            vx.push_back(x);
        if (s.second <= y && y <= g.second)
            vy.push_back(y);
    }
    sort(all(vx));
    sort(all(vy));
    vx.erase(unique(all(vx)), vx.end());
    vy.erase(unique(all(vy)), vy.end());

    auto cmp = [&](int p) {
        struct edge {
            int to, cost;
            edge(int to, int cost) : to(to), cost(cost) {}
        };
        vector<vector<edge>> G(n + 2);
        const int si = n, gi = n + 1;
        rep(i, n) {
            rep(j, n) {
                if (i == j)
                    continue;
                auto [x1, y1] = v[i];
                auto [x2, y2] = v[j];
                int d = max((abs(x2 - x1) + p - 1) / p - 1, (abs(y2 - y1) + p - 1) / p - 1);
                if (x1 <= p && p <= x2) {
                    G[i].emplace_back(j, d);
                    G[j].emplace_back(i, d);
                }
            }
        }
        rep(i, n) {
            auto [x, y] = v[i];
            int sd = max((abs(x - sx) + p - 1) / p - 1, (abs(y - sy) + p - 1) / p - 1);
            G[si].emplace_back(i, sd);
            G[i].emplace_back(si, sd);
            int gd = max((abs(x - gx) + p - 1) / p - 1, (abs(y - gy) + p - 1) / p - 1);
            G[gi].emplace_back(i, gd);
            G[i].emplace_back(gi, gd);
        }
        auto dijkstra = [&](int ip) {
            using P = pair<ll, int>;
            priority_queue<P, vector<P>, greater<P>> pq;
            vector<ll> d(G.size(), inf);
            d.at(ip) = 0;
            pq.emplace(0ll, ip);
            while (!pq.empty()) {
                auto u = pq.top();
                pq.pop();
                if (u.first > d.at(u.second))
                    continue;
                for (const auto& eg : G.at(u.second)) {
                    if (d.at(eg.to) > d.at(u.second) + eg.cost) {
                        d.at(eg.to) = d.at(u.second) + eg.cost;
                        pq.emplace(d.at(eg.to), eg.to);
                    }
                }
            }
            return d;
        };
        auto d = dijkstra(si);
        return d.at(gi) <= k;
    };
    auto bsearch = [&]() {
        ll ok = 1000000, ng = 0;
        while (abs(ng - ok) > 1) {
            ll mid = (ng + ok) / 2;
            if (cmp(mid))
                ok = mid;
            else
                ng = mid;
        }
        return ok;
    };
    cout << bsearch() << "\n";
    return 0;
}