oj.uz

Submission #1109996

# Submission time Handle Problem Language Result Execution time Memory
1109996 2024-11-08T11:47:05 Z tosivanmak Road Construction (JOI21_road_construction) C++17
100 / 100
 2331 ms 403568 KB 
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define int long long

struct Persist{
    int seg[10000000],lc[10000000],rc[10000000];
    ll ptr=1;
    ll build(ll l, ll r){
        if(l==r){
            seg[ptr]=1e18,lc[ptr]=rc[ptr]=-1; ptr++; return ptr-1;
        }
        else{
            ll mid=(l+r)>>1;
            ll curptr=ptr; ptr++;
            lc[curptr]=build(l,mid); rc[curptr]=build(mid+1,r);
            seg[curptr]=1e18;
            return curptr;
        }
    }
    ll upd(ll ul, ll l, ll r, ll val, ll id){
        if(l==r){
            seg[ptr]=val; lc[ptr]=rc[ptr]=-1; ptr++; return ptr-1;
        }
        else{
            ll mid=(l+r)>>1;
            ll curp=ptr; ptr++;
            if(ul<=mid){
                lc[curp]=upd(ul,l,mid,val,lc[id]); rc[curp]=rc[id];
            }
            else{
                rc[curp]=upd(ul,mid+1,r,val,rc[id]); lc[curp]=lc[id];
            }
            seg[curp]=min(seg[lc[curp]],seg[rc[curp]]);
            return curp;
        }
    }
    ll qry(ll ql, ll qr, ll l, ll r, ll id){
        if(ql>qr)return 1e18;
        if(l>qr||r<ql)return 1e18;
        if(l>=ql&&r<=qr){
            return seg[id];
        }
        ll mid=(l+r)>>1;
        return min(qry(ql,qr,l,mid,lc[id]),qry(ql,qr,mid+1,r,rc[id]));
    }
    ll bs(ll l, ll r, ll k, ll id){
        if(l==r)return l;
        ll mid=(l+r)>>1;
        if(seg[lc[id]]==k)return bs(l,mid,k,lc[id]);
        return bs(mid+1,r,k,rc[id]);
    }
    ll find(ll ql, ll qr, ll l, ll r, ll id, ll k){
        if(ql>qr)return -1;
        if(l>qr||r<ql)return -1;
        if(l>=ql&&r<=qr){
            if(seg[id]!=k) return -1;
            return bs(l,r,k,id);
        }
        ll mid=(l+r)>>1;
        ll bruh=find(ql,qr,l,mid,lc[id],k);
        if(bruh!=-1)return bruh;
        bruh=find(ql,qr,mid+1,r,rc[id],k);
        return bruh;
    }
}st,st2;
struct THING{
    ll val,verx,very,insegpos;
    bool operator<(const THING& th)const{
        return val>th.val;
    }
};
priority_queue<THING>pq;
int version[250005][3];
int prevver,prevver2;
vector<pair<ll,ll> >disc;
ll pos(pair<ll,ll>x){
    return lower_bound(disc.begin(),disc.end(),x)-disc.begin()+1;
}
int32_t main(){
    ll n,k;
    cin>>n>>k;
    ll x[n+5],y[n+5];
    for(int i=1;i<=n;i++)cin>>x[i]>>y[i];
    vector<pair<ll,ll> >pts;
    for(int i=1;i<=n;i++)pts.push_back({x[i],y[i]});
    sort(pts.begin(),pts.end());
    for(int i=0;i<pts.size();i++){
        disc.push_back({pts[i].second,i});
    }
    sort(disc.begin(),disc.end());
    prevver=st.build(1,disc.size()); prevver2=st2.build(1,disc.size());
    for(int i=0;i<pts.size();i++){
        int xx=pts[i].first,yy=pts[i].second;
        version[i][1]=prevver; version[i][2]=prevver2;
        prevver=st.upd(pos(make_pair(yy,i)),1,disc.size(),-xx-yy,prevver);
        prevver2=st2.upd(pos(make_pair(yy,i)),1,disc.size(),-xx+yy,prevver2);
    }
    for(int i=0;i<pts.size();i++){
        int xx=pts[i].first,yy=pts[i].second;
        ll posi=pos(make_pair(yy,i));
        ll for1=st.qry(1,posi,1,disc.size(),version[i][1]);
        ll segtreebst=st.find(1,posi,1,disc.size(),version[i][1],for1);
        pq.push({for1+xx+yy,i,1,segtreebst});
        ll for2=st2.qry(posi+1,disc.size(),1,disc.size(),version[i][2]);
        segtreebst=st2.find(posi+1,disc.size(),1,disc.size(),version[i][2],for2);
        pq.push({for2+xx-yy,i,2,segtreebst});
    }
    for(int i=1;i<=k;i++){
        THING lol=pq.top();
        ll val=lol.val,verx=lol.verx,very=lol.very,insegpos=lol.insegpos;
        ll xx=pts[verx].first,yy=pts[verx].second;
        pq.pop();
        cout<<val<<'\n';
        ll posi=pos(make_pair(yy,verx));
        if(very==1){
            version[verx][very]=st.upd(insegpos,1,disc.size(),1e18,version[verx][very]);
            ll for1=st.qry(1,posi,1,disc.size(),version[verx][1]);
            ll segtreebst=st.find(1,posi,1,disc.size(),version[verx][1],for1);
            pq.push({for1+xx+yy,verx,1,segtreebst});
        }
        else{
            version[verx][very]=st2.upd(insegpos,1,disc.size(),1e18,version[verx][very]);
            ll for2=st2.qry(posi+1,disc.size(),1,disc.size(),version[verx][2]);
            ll segtreebst=st2.find(posi+1,disc.size(),1,disc.size(),version[verx][2],for2);
            pq.push({for2+xx-yy,verx,2,segtreebst});
        }
    }
}

Compilation message

road_construction.cpp: In function 'int32_t main()':
road_construction.cpp:88:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   88 |     for(int i=0;i<pts.size();i++){
      |                 ~^~~~~~~~~~~
road_construction.cpp:93:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   93 |     for(int i=0;i<pts.size();i++){
      |                 ~^~~~~~~~~~~
road_construction.cpp:99:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   99 |     for(int i=0;i<pts.size();i++){
      |                 ~^~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 193 ms 80968 KB Output is correct
2 Correct 188 ms 81088 KB Output is correct
3 Correct 181 ms 77112 KB Output is correct
4 Correct 152 ms 77128 KB Output is correct
5 Correct 179 ms 79944 KB Output is correct
6 Correct 4 ms 14928 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 958 ms 395580 KB Output is correct
2 Correct 938 ms 398592 KB Output is correct
3 Correct 117 ms 76872 KB Output is correct
4 Correct 627 ms 398220 KB Output is correct
5 Correct 692 ms 398452 KB Output is correct
6 Correct 672 ms 398464 KB Output is correct
7 Correct 738 ms 397956 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1162 ms 285300 KB Output is correct
2 Correct 1285 ms 285336 KB Output is correct
3 Correct 2 ms 12624 KB Output is correct
4 Correct 395 ms 285336 KB Output is correct
5 Correct 723 ms 285336 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1162 ms 285300 KB Output is correct
2 Correct 1285 ms 285336 KB Output is correct
3 Correct 2 ms 12624 KB Output is correct
4 Correct 395 ms 285336 KB Output is correct
5 Correct 723 ms 285336 KB Output is correct
6 Correct 1280 ms 285168 KB Output is correct
7 Correct 1269 ms 285264 KB Output is correct
8 Correct 2 ms 12624 KB Output is correct
9 Correct 2 ms 12624 KB Output is correct
10 Correct 1234 ms 285336 KB Output is correct
11 Correct 386 ms 285284 KB Output is correct
12 Correct 725 ms 285344 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 193 ms 80968 KB Output is correct
2 Correct 188 ms 81088 KB Output is correct
3 Correct 181 ms 77112 KB Output is correct
4 Correct 152 ms 77128 KB Output is correct
5 Correct 179 ms 79944 KB Output is correct
6 Correct 4 ms 14928 KB Output is correct
7 Correct 1128 ms 223016 KB Output is correct
8 Correct 1204 ms 222908 KB Output is correct
9 Correct 165 ms 75080 KB Output is correct
10 Correct 639 ms 224236 KB Output is correct
11 Correct 707 ms 222128 KB Output is correct
12 Correct 530 ms 222800 KB Output is correct
13 Correct 667 ms 221360 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 193 ms 80968 KB Output is correct
2 Correct 188 ms 81088 KB Output is correct
3 Correct 181 ms 77112 KB Output is correct
4 Correct 152 ms 77128 KB Output is correct
5 Correct 179 ms 79944 KB Output is correct
6 Correct 4 ms 14928 KB Output is correct
7 Correct 958 ms 395580 KB Output is correct
8 Correct 938 ms 398592 KB Output is correct
9 Correct 117 ms 76872 KB Output is correct
10 Correct 627 ms 398220 KB Output is correct
11 Correct 692 ms 398452 KB Output is correct
12 Correct 672 ms 398464 KB Output is correct
13 Correct 738 ms 397956 KB Output is correct
14 Correct 1162 ms 285300 KB Output is correct
15 Correct 1285 ms 285336 KB Output is correct
16 Correct 2 ms 12624 KB Output is correct
17 Correct 395 ms 285336 KB Output is correct
18 Correct 723 ms 285336 KB Output is correct
19 Correct 1280 ms 285168 KB Output is correct
20 Correct 1269 ms 285264 KB Output is correct
21 Correct 2 ms 12624 KB Output is correct
22 Correct 2 ms 12624 KB Output is correct
23 Correct 1234 ms 285336 KB Output is correct
24 Correct 386 ms 285284 KB Output is correct
25 Correct 725 ms 285344 KB Output is correct
26 Correct 1128 ms 223016 KB Output is correct
27 Correct 1204 ms 222908 KB Output is correct
28 Correct 165 ms 75080 KB Output is correct
29 Correct 639 ms 224236 KB Output is correct
30 Correct 707 ms 222128 KB Output is correct
31 Correct 530 ms 222800 KB Output is correct
32 Correct 667 ms 221360 KB Output is correct
33 Correct 2275 ms 403568 KB Output is correct
34 Correct 2331 ms 402832 KB Output is correct
35 Correct 1559 ms 402100 KB Output is correct
36 Correct 1100 ms 402976 KB Output is correct
37 Correct 1108 ms 402744 KB Output is correct
38 Correct 1225 ms 401632 KB Output is correct