oj.uz

Submission #990999

# Submission time Handle Problem Language Result Execution time Memory
990999 2024-06-01T03:43:09 Z 12345678 Road Construction (JOI21_road_construction) C++17
100 / 100
 3447 ms 1553936 KB 
#include <bits/stdc++.h>

using namespace std;

#define ll long long

const ll nx=250005, inf=1e9;

ll n, k, res=1e18, idxx;
pair<ll, ll> p[nx];
map<ll, vector<ll>> mp;
priority_queue<tuple<ll, ll, ll, ll>, vector<tuple<ll, ll, ll, ll>>, greater<tuple<ll, ll, ll, ll>>> pq;

struct persist
{
    struct node
    {
        pair<ll, ll> mn;
        node *l, *r;
        node(pair<ll, ll> mn={1e18, 0}): mn(mn), l(0), r(0){}
    };
    typedef node* pnode;
    pnode rt[nx], srt[nx];
    void update(int l, int r, pnode &k, pnode t, int idx, ll vl)
    {
        //printf("update %d %d\n", l, r);
        if (t) k=new node(*t);
        else k=new node();
        if (l==r) return k->mn={vl, idx}, void();
        ll md=l+(r-l)/2;
        if (idx<=md) update(l, md, k->l, t?t->l:0, idx, vl);
        else update(md+1, r, k->r, t?t->r:0, idx, vl);
        k->mn=min((k->l)?k->l->mn:make_pair((ll)1e18, (ll)0), (k->r)?k->r->mn:make_pair((ll)1e18, (ll)0));
    }
    pair<ll, ll> query(int l, int r, pnode k, int ql, int qr)
    {
        if (r<ql||qr<l|!k||qr<ql) return {1e18, 0};
        if (ql<=l&&r<=qr) return k->mn;
        ll md=l+(r-l)/2;
        return min(query(l, md, k->l, ql, qr), query(md+1, r, k->r, ql, qr));
    }
} up, dn;

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n>>k;
    for (int i=1; i<=n; i++) cin>>p[i].first>>p[i].second;
    sort(p+1, p+n+1);
    for (int i=1; i<=n; i++)
    {
        up.srt[i]=up.rt[i];
        dn.srt[i]=dn.rt[i];
        auto upq=up.query(-inf, inf, up.srt[i], p[i].second, inf);
        upq.first+=p[i].first-p[i].second;
        auto dnq=dn.query(-inf, inf, dn.srt[i], -inf, p[i].second-1);
        dnq.first+=p[i].first+p[i].second;
        auto tmp=min(upq, dnq);
        //printf("here %d %lld %lld\n", i, tmp.first, tmp.second);
        up.update(-inf, inf, up.rt[i+1], up.rt[i], p[i].second, -p[i].first+p[i].second);
        dn.update(-inf, inf, dn.rt[i+1], dn.rt[i], p[i].second, -p[i].first-p[i].second);
        if (tmp.first<1e10)
        {
            if (tmp.second>=p[i].second) up.update(-inf, inf, up.srt[i], up.srt[i], tmp.second, 1e18);
            else dn.update(-inf, inf, dn.srt[i], dn.srt[i], tmp.second, 1e18);
            idxx=mp[tmp.second].back();
            pq.push({tmp.first, i, tmp.second, idxx});
        }
        mp[p[i].second].push_back(p[i].first);
    }
    for (int t=0; t<k; t++)
    {
        auto [w, idx, idxy, idxx]=pq.top();
        pq.pop();
        cout<<w<<'\n';
        auto itr=lower_bound(mp[idxy].begin(), mp[idxy].end(), idxx);
        if (itr!=mp[idxy].begin()) pq.push({w+*itr-*prev(itr), idx, idxy, *prev(itr)});
        auto upq=up.query(-inf, inf, up.srt[idx], p[idx].second, inf);
        upq.first+=+p[idx].first-p[idx].second;
        auto dnq=dn.query(-inf, inf, dn.srt[idx], -inf, p[idx].second-1);
        dnq.first+=+p[idx].first+p[idx].second;
        auto tmp=min(upq, dnq);
        if (tmp.first<1e10)
        {
            if (tmp.second>=p[idx].second) up.update(-inf, inf, up.srt[idx], up.srt[idx], tmp.second, 1e18);
            else dn.update(-inf, inf, dn.srt[idx], dn.srt[idx], tmp.second, 1e18);
            idxx=p[idx].first-(tmp.first-abs(p[idx].second-tmp.second));
            pq.push({tmp.first, idx, tmp.second, idxx});
        }
    }
}

Compilation message

road_construction.cpp: In member function 'std::pair<long long int, long long int> persist::query(int, int, persist::pnode, int, int)':
road_construction.cpp:37:21: warning: suggest parentheses around comparison in operand of '|' [-Wparentheses]
   37 |         if (r<ql||qr<l|!k||qr<ql) return {1e18, 0};
      |                   ~~^~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 649 ms 388712 KB Output is correct
2 Correct 646 ms 388692 KB Output is correct
3 Correct 653 ms 385704 KB Output is correct
4 Correct 439 ms 250044 KB Output is correct
5 Correct 711 ms 387372 KB Output is correct
6 Correct 9 ms 14192 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1635 ms 1115012 KB Output is correct
2 Correct 1591 ms 1118548 KB Output is correct
3 Correct 173 ms 12112 KB Output is correct
4 Correct 1069 ms 1118180 KB Output is correct
5 Correct 1249 ms 1118388 KB Output is correct
6 Correct 1301 ms 1118128 KB Output is correct
7 Correct 1306 ms 1117748 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1865 ms 1174940 KB Output is correct
2 Correct 1855 ms 1174704 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 919 ms 1115736 KB Output is correct
5 Correct 1194 ms 1149412 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1865 ms 1174940 KB Output is correct
2 Correct 1855 ms 1174704 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 919 ms 1115736 KB Output is correct
5 Correct 1194 ms 1149412 KB Output is correct
6 Correct 1840 ms 1174760 KB Output is correct
7 Correct 1886 ms 1177000 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1782 ms 1173720 KB Output is correct
11 Correct 872 ms 1116864 KB Output is correct
12 Correct 1092 ms 1151852 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 649 ms 388712 KB Output is correct
2 Correct 646 ms 388692 KB Output is correct
3 Correct 653 ms 385704 KB Output is correct
4 Correct 439 ms 250044 KB Output is correct
5 Correct 711 ms 387372 KB Output is correct
6 Correct 9 ms 14192 KB Output is correct
7 Correct 2159 ms 852380 KB Output is correct
8 Correct 2213 ms 852440 KB Output is correct
9 Correct 450 ms 257484 KB Output is correct
10 Correct 1350 ms 849588 KB Output is correct
11 Correct 1561 ms 851628 KB Output is correct
12 Correct 1008 ms 850616 KB Output is correct
13 Correct 1087 ms 850200 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 649 ms 388712 KB Output is correct
2 Correct 646 ms 388692 KB Output is correct
3 Correct 653 ms 385704 KB Output is correct
4 Correct 439 ms 250044 KB Output is correct
5 Correct 711 ms 387372 KB Output is correct
6 Correct 9 ms 14192 KB Output is correct
7 Correct 1635 ms 1115012 KB Output is correct
8 Correct 1591 ms 1118548 KB Output is correct
9 Correct 173 ms 12112 KB Output is correct
10 Correct 1069 ms 1118180 KB Output is correct
11 Correct 1249 ms 1118388 KB Output is correct
12 Correct 1301 ms 1118128 KB Output is correct
13 Correct 1306 ms 1117748 KB Output is correct
14 Correct 1865 ms 1174940 KB Output is correct
15 Correct 1855 ms 1174704 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 919 ms 1115736 KB Output is correct
18 Correct 1194 ms 1149412 KB Output is correct
19 Correct 1840 ms 1174760 KB Output is correct
20 Correct 1886 ms 1177000 KB Output is correct
21 Correct 1 ms 6492 KB Output is correct
22 Correct 1 ms 6492 KB Output is correct
23 Correct 1782 ms 1173720 KB Output is correct
24 Correct 872 ms 1116864 KB Output is correct
25 Correct 1092 ms 1151852 KB Output is correct
26 Correct 2159 ms 852380 KB Output is correct
27 Correct 2213 ms 852440 KB Output is correct
28 Correct 450 ms 257484 KB Output is correct
29 Correct 1350 ms 849588 KB Output is correct
30 Correct 1561 ms 851628 KB Output is correct
31 Correct 1008 ms 850616 KB Output is correct
32 Correct 1087 ms 850200 KB Output is correct
33 Correct 3399 ms 1553936 KB Output is correct
34 Correct 3447 ms 1553840 KB Output is correct
35 Correct 2319 ms 1544368 KB Output is correct
36 Correct 1641 ms 1536596 KB Output is correct
37 Correct 1655 ms 1537168 KB Output is correct
38 Correct 1859 ms 1536708 KB Output is correct