답안 #923708

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
923708 2024-02-07T15:29:18 Z andrei_boaca Road Construction (JOI21_road_construction) C++17
0 / 100
5638 ms 2024016 KB
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
const int INF=2e9+5;
const ll INFBIG=5e9;
int n,k,ymax;
map<int,int> nrm;
map<pii,int> where;
set<pair<long long,int>> setik;
struct point
{
    int x,y;
} v[250005];
bool byx(point a,point b)
{
    return a.x<b.x;
}
vector<int> vals;
vector<int> myx[250005];
struct node
{
    node *l,*r;
    int st,dr;
    int x,y;
    long long minim;
    node()
    {
        l=NULL;
        r=NULL;
        x=0;
        y=0;
        minim=0;
        st=0;
        dr=0;
    }
};
node *arb[2][2][250005]; /// [xmic,xmare][ymic,ymare]
struct answer
{
    int x,y;
    long long minim;
};
node *build(int st,int dr)
{
    node *rez=new node;
    rez->st=st;
    rez->dr=dr;
    rez->minim=INFBIG;
    rez->x=INF;
    rez->y=INF;
    if(st==dr)
        return rez;
    int mij=(st+dr)/2;
    rez->l=build(st,mij);
    rez->r=build(mij+1,dr);
    return rez;
}
node *update(node *me,int poz,int x,int y,int val)
{
    int st=me->st;
    int dr=me->dr;
    node *rez=new node;
    rez->st=st;
    rez->dr=dr;
    rez->l=me->l;
    rez->r=me->r;
    if(st==dr)
    {
        rez->x=x;
        rez->y=y;
        rez->minim=val;
        return rez;
    }
    int mij=(st+dr)/2;
    if(poz<=mij)
        rez->l=update(rez->l,poz,x,y,val);
    else
        rez->r=update(rez->r,poz,x,y,val);
    rez->minim=rez->l->minim;
    rez->x=rez->l->x;
    rez->y=rez->l->y;
    if(rez->r->minim<rez->minim)
    {
        rez->minim=rez->r->minim;
        rez->x=rez->r->x;
        rez->y=rez->r->y;
    }
    return rez;
}
answer query(node *me,int a,int b)
{
    int st=me->st;
    int dr=me->dr;
    if(st>=a&&dr<=b)
        return {me->x,me->y,me->minim};
    answer rez={INF,INF,INFBIG};
    int mij=(st+dr)/2;
    if(a<=mij)
    {
        answer p=query(me->l,a,b);
        if(p.minim<rez.minim)
            rez=p;
    }
    if(b>mij)
    {
        answer p=query(me->r,a,b);
        if(p.minim<rez.minim)
            rez=p;
    }
    return rez;
}
node* add(node *me,int x,int y,int a,int b)
{
    int poz=nrm[y];
    answer rez=query(me,poz,poz);
    ll val=0;
    if(a==0)
        val-=x;
    else
        val+=x;
    if(b==0)
        val-=y;
    else
        val+=y;
    if(val<rez.minim)
        me=update(me,poz,x,y,val);
    return me;
}
node* out(node *me,int x,int y,int a,int b)
{
    int poz=nrm[y];
    answer rez=query(me,poz,poz);
    if(rez.x!=x||rez.y!=y)
        return me;
    int nxt=INF;
    if(a==0)
    {
        int st=0;
        int dr=myx[poz].size();
        dr--;
        while(st<=dr)
        {
            int mij=(st+dr)/2;
            if(myx[poz][mij]<x)
            {
                nxt=myx[poz][mij];
                st=mij+1;
            }
            else
                dr=mij-1;
        }
    }
    else
    {
        int st=0;
        int dr=myx[poz].size();
        dr--;
        while(st<=dr)
        {
            int mij=(st+dr)/2;
            if(myx[poz][mij]>x)
            {
                nxt=myx[poz][mij];
                dr=mij-1;
            }
            else
                st=mij+1;
        }
    }
    if(nxt==INF)
        me=update(me,poz,INF,INF,INFBIG);
    else
    {
        ll val=0;
        x=nxt;
        if(a==0)
            val-=x;
        else
            val+=x;
        if(b==0)
            val-=y;
        else
            val+=y;
        me=update(me,poz,x,y,val);
    }
    return me;
}
answer getmin(int ind)
{
    answer rez={INF,INF,INFBIG};
    int x=v[ind].x,y=v[ind].y;
    int poz=nrm[y];
    answer a=query(arb[0][0][ind],1,poz);
    a.minim+=x+y;
    if(a.minim<rez.minim)
        rez=a;
    a=query(arb[0][1][ind],poz,ymax);
    a.minim+=x-y;
    if(a.minim<rez.minim)
        rez=a;
    a=query(arb[1][0][ind],1,poz);
    a.minim+=(-x+y);
    if(a.minim<rez.minim)
        rez=a;
    a=query(arb[1][1][ind],poz,ymax);
    a.minim+=(-x-y);
    if(a.minim<rez.minim)
        rez=a;
    return rez;
}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin>>n>>k;
    for(int i=1;i<=n;i++)
    {
        cin>>v[i].x>>v[i].y;
        vals.push_back(v[i].y);
    }
    vector<long long> sol;
    if(k==n*(n-1)/2)
    {
        for(int i=1;i<=n;i++)
            for(int j=i+1;j<=n;j++)
                sol.push_back(abs(v[i].x-v[j].x)*1LL+1LL*abs(v[i].y-v[j].y));
        sort(sol.begin(),sol.end());
        for(auto i:sol)
            cout<<i<<'\n';
        return 0;
    }
    sort(v+1,v+n+1,byx);
    for(int i=1;i<=n;i++)
        where[{v[i].x,v[i].y}]=i;
    sort(vals.begin(),vals.end());
    vals.erase(unique(vals.begin(),vals.end()),vals.end());
    for(int i=0;i<vals.size();i++)
    {
        nrm[vals[i]]=i+1;
        ymax=i+1;
    }
    for(int i=1;i<=n;i++)
        myx[nrm[v[i].y]].push_back(v[i].x);
    for(int i=0;i<=1;i++)
        for(int j=0;j<=1;j++)
            arb[i][j][1]=build(1,ymax);
    for(int i=2;i<=n;i++)
    {
        arb[1][0][1]=add(arb[1][0][1],v[i].x,v[i].y,1,0);
        arb[1][1][1]=add(arb[1][1][1],v[i].x,v[i].y,1,1);
    }
    for(int i=2;i<=n;i++)
    {
        for(int j=0;j<=1;j++)
            for(int p=0;p<=1;p++)
                arb[j][p][i]=arb[j][p][i-1];
        arb[1][0][i]=out(arb[1][0][i],v[i].x,v[i].y,1,0);
        arb[1][1][i]=out(arb[1][1][i],v[i].x,v[i].y,1,1);
        arb[0][0][i]=add(arb[0][0][i],v[i-1].x,v[i-1].y,0,0);
        arb[0][1][i]=add(arb[0][1][i],v[i-1].x,v[i-1].y,0,1);
    }
    for(int i=1;i<=n;i++)
    {
        long long val=getmin(i).minim;
        setik.insert({val,i});
    }
    k*=2;
    while(k--)
    {
        int i=(*setik.begin()).second;
        setik.erase(setik.begin());
        answer a=getmin(i);
        sol.push_back(a.minim);
        long long val=a.minim;
        int x=a.x;
        int y=a.y;
        if(where[{x,y}]<i)
        {
            arb[0][0][i]=out(arb[0][0][i],x,y,0,0);
            arb[0][1][i]=out(arb[0][1][i],x,y,0,1);
        }
        else
        {
            arb[1][0][i]=out(arb[1][0][i],x,y,1,0);
            arb[1][1][i]=out(arb[1][1][i],x,y,1,1);
        }
        a=getmin(i);
        setik.insert({a.minim,i});
    }
    for(int i=0;i<sol.size();i+=2)
        cout<<sol[i]<<'\n';
    return 0;
}

Compilation message

road_construction.cpp: In function 'node* out(node*, int, int, int, int)':
road_construction.cpp:173:34: warning: overflow in conversion from 'll' {aka 'long long int'} to 'int' changes value from '5000000000' to '705032704' [-Woverflow]
  173 |         me=update(me,poz,INF,INF,INFBIG);
      |                                  ^~~~~~
road_construction.cpp: In function 'int main()':
road_construction.cpp:239:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  239 |     for(int i=0;i<vals.size();i++)
      |                 ~^~~~~~~~~~~~
road_construction.cpp:276:19: warning: unused variable 'val' [-Wunused-variable]
  276 |         long long val=a.minim;
      |                   ^~~
road_construction.cpp:292:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  292 |     for(int i=0;i<sol.size();i+=2)
      |                 ~^~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Runtime error 28 ms 37144 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Runtime error 337 ms 194872 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Runtime error 5638 ms 2024016 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Runtime error 5638 ms 2024016 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Runtime error 28 ms 37144 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Runtime error 28 ms 37144 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -