Submission #876226

#TimeUsernameProblemLanguageResultExecution timeMemory
876226RegulusRoad Construction (JOI21_road_construction)C++17
100 / 100
1852 ms13908 KiB
#include <bits/stdc++.h>            // pA
#define IO ios::sync_with_stdio(false);cin.tie(0);
#define debug(x) cerr << #x << " = " << (x) << ' '
#define endl cerr << '\n'
#define all(v) (v).begin(), (v).end()
#define SZ(v) (ll)(v).size()
#define lowbit(x) (x)&-(x)
#define pb emplace_back
#define F first
#define S second
using namespace std;
using ll = long long;
using pll = pair<ll, ll>;

const int N = 3e5+5;
const ll INF = 1e18;
ll n, Q;
pll p[N];
multiset<pll> st;
vector<ll> v;

//#define test

inline bool chk(ll w)
{
    ll i, L=1, x, y;

    st.clear(), v.clear();
    for (i=1; i <= n; ++i)
    {
        while (p[i].F-p[L].F > w)
        {
            #ifdef test
            debug(i), debug(L), debug(w), endl;
            #endif
            st.erase(st.find({p[L].S, p[L].F}));
            ++L;
        }

        for (auto it = st.lower_bound({p[i].S, -INF}); it != st.end(); ++it)
        {
            x = it->S, y = it->F;
            if (y-p[i].S > w) break;
            v.pb(max(abs(x-p[i].F), abs(y-p[i].S)));
            if (SZ(v) >= Q) return 1;
        }
        auto it = st.lower_bound({p[i].S, -INF});
        if (it != st.begin())
        {
            --it;
            for ( ; ; --it)
            {
                x = it->S, y = it->F;
                if (p[i].S-y > w) break;
                v.pb(max(abs(x-p[i].F), abs(y-p[i].S)));
                if (SZ(v) >= Q) return 1;
                if (it == st.begin()) break;
            }
        }
        st.insert({p[i].S, p[i].F});

        #ifdef test
        debug(i), endl;
        for (auto x : st) cerr << x.F << ' ' << x.S << '\n';
        #endif
    }
    return 0;
}

int main(void)
{ IO
    ll i, lb, mid, ub, x, y;

    cin >> n >> Q;
    for (i=1; i <= n; ++i) cin >> x >> y, p[i] = {x+y, x-y};

    sort(p+1, p+n+1);
    #ifndef test
    lb = 0, ub = 1e18;
    while (lb < ub)
    {
        mid = (lb+ub)>>1;
        if (chk(mid)) ub = mid;
        else lb = mid + 1;
    }

    chk(lb-1);
    sort(all(v));
    for (i=0; i < min(Q, SZ(v)); ++i) cout << v[i] << '\n';
    for (i=0; i < max(Q-SZ(v), 0LL); ++i) cout << lb << '\n';

    #else
    endl;
    for (i=1; i <= n; ++i) debug(p[i].F), debug(p[i].S), endl;

    endl;
    chk(2);
    endl;
    for (ll x : v) debug(x), endl;
    #endif


    return 0;
}
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