Submission #710692

# Submission time Handle Problem Language Result Execution time Memory
710692 2023-03-15T15:32:43 Z lam New Home (APIO18_new_home) C++14
5 / 100
5000 ms 284384 KB
#include <bits/stdc++.h>
#define int long long
using namespace std;
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
typedef pair<int,int> ii;
typedef pair<ii,int> iii;
typedef pair<ii,ii> iiii;
#define ff first
#define ss second
const int maxn = 3e5+10;
int n,k,m,o;
map<int,int> mp;
multiset<int> ms[maxn];
int b[maxn];
vector <iiii> d;
int res[maxn];
struct node
{
    int wt, key, sz;
    node *l, *r;
    node (int x)
    {
        l=r=0;
        sz = 1;
        key = x; sz = 1;
        wt = rng();
    }
};
inline int get_sz(node *&x)
{
    return (x)?x->sz:0;
}
inline void update(node *&x)
{
    x->sz = 1 + get_sz(x->l) + get_sz(x->r);
}

void split(node *x, node *&l, node *&r, int k)
{
    if (!x)
    {
        l=r=0;
        return;
    }
    if (get_sz(x->l)>=k)
    {
        split(x->l,l,x->l,k);
        r=x;
    }
    else
    {
        split(x->r,x->r,r,k-1-get_sz(x->l));
        l=x;
    }
    update(x);
}

void split_key(node *x, node *&l, node *&r, int key)
{
    if (!x)
    {
        l=r=0;
        return;
    }
    if (x->key > key)
    {
        split_key(x->l,l,x->l,key);
        r=x;
    }
    else
    {
        split_key(x->r,x->r,r,key);
        l=x;
    }
    update(x);
}

void merg(node *&x, node *l, node *r)
{
    if (!l||!r)
    {
        if (!l) x=r;
        else x=l;
        return;
    }
    if (l->wt > r->wt)
    {
        merg(l->r,l->r,r);
        x=l;
    }
    else
    {
        merg(r->l,l,r->l);
        x=r;
    }
    update(x);
}

void ins(node *&treap, int val)
{
    node *a,*b;
    split_key(treap,treap,a,val);
    b = new node(val);
    merg(treap,treap,b);
    merg(treap,treap,a);
}

void dbg(node *&x)
{
    if (!x) return;
    dbg(x->l);
    cerr<<x->key<<" :: ";
    dbg(x->r);
}
void xoa(node *&treap, int val)
{
    node *a, *b;
//    cerr<<"xoa "<<val<<endl;
//    dbg(treap); cerr<<endl;
    split_key(treap,treap,a,val-1);
    split(a,b,a,1);
    merg(treap,treap,a);
//    dbg(treap); cerr<<endl;
//    cerr<<"------------"<<endl;
    delete(b);
}


int lbound(node *&treap, int r)
{
    node *a,*b;
//    cerr<<"dbg "; dbg(treap); cerr<<endl;
    split_key(treap,treap,a,r);
    int ans = get_sz(a);
    merg(treap,treap,a);
//    cerr<<r<<" --> "<<ans<<endl;
    return ans;
}

node* f[4*maxn];

int get(int x, int lx, int rx, int l, int r)
{
    if (b[lx]>r||b[rx]<l) return 0;
    if (b[lx]>=l&&b[rx]<=r)
    {
//        cerr<<"??? "<<x<<' '<<b[lx]<<' '<<b[rx]<<endl;
        return lbound(f[x],r);
    }
    int mid=(lx+rx)/2;
    return get(2*x,lx,mid,l,r) + get(2*x+1,mid+1,rx,l,r);
}

void add(int x, int lx, int rx, int idx, int val)
{
//    cerr<<"+ "<<x<<' '<<b[lx]<<' '<<b[rx]<<" = "<<idx<<' '<<val<<endl;
    ins(f[x],val);
//    cerr<<" :) "<<endl;
    if (lx==rx) return;
    int mid=(lx+rx)/2;
    if (idx<=b[mid]) add(2*x,lx,mid,idx,val);
    else add(2*x+1,mid+1,rx,idx,val);
}
void er(int x, int lx, int rx, int idx, int val)
{
//    cerr<<"- "<<x<<' '<<b[lx]<<' '<<b[rx]<<" = "<<idx<<' '<<val<<endl;
    xoa(f[x],val);
//    cerr<<" :< "<<endl;
    if (lx==rx) return;
    int mid=(lx+rx)/2;
    if (idx<=b[mid]) er(2*x,lx,mid,idx,val);
    else er(2*x+1,mid+1,rx,idx,val);
}

void build(int x, int lx, int rx)
{
    f[x] = 0;
    if (lx==rx) return;
    int mid=(lx+rx)/2;
    build(2*x,lx,mid); build(2*x+1,mid+1,rx);
}

signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr); cout.tie(nullptr);
    cin>>n>>k>>m;
    for (int i=1; i<=n; i++)
    {
        int x,t,l,r; cin>>x>>t>>l>>r;
        mp[x] = 1;
        d.push_back({{l,-1},{x,t}});
        d.push_back({{r,1},{x,t}});
    }
    for (int i=1; i<=m; i++)
    {
        int x,l; cin>>x>>l;
        d.push_back({{l,0},{x,i}});
    }
    sort(d.begin(),d.end());
    int cnt = 0;
    o = 0;
    for (auto &c:mp) c.ss = ++o, b[o] = c.ff;
//    cerr<<o<<endl;
    build(1,1,o);
    for (iiii i:d)
    {
//        cerr<<" -- "<<i.ff.ff<<' '<<i.ff.ss<<' '<<i.ss.ff<<' '<<i.ss.ss<<" -- "<<endl;
        if (i.ff.ss == -1)
        {
            int x = i.ss.ff; int t = i.ss.ss;
//            cerr<<"pro "<<x<<endl;
            if (ms[t].empty()) cnt++;
            auto r = ms[t].upper_bound(x);
            auto l = r;
            if (l!=ms[t].begin())
            {
                l--;
                if (r!=ms[t].end())
                    er(1,1,o,(*l),(*r));
                else er(1,1,o,(*l),1e9);
                add(1,1,o,(*l),x);
            }
            if (r!=ms[t].end()) add(1,1,o,x,(*r));
            else add(1,1,o,x,1e9);
            ms[t].insert(x);
//            cerr<<"pri"<<endl;
        }
        else if (i.ff.ss == 1)
        {
            int x = i.ss.ff; int t = i.ss.ss;
            auto j = ms[t].lower_bound(x);
            auto l = j; auto r = j;
//            cerr<<"notpro "<<x<<endl;
            if (r==ms[t].end()) cerr<<" :@"<<endl;
            r++;
            if (l!=ms[t].begin())
            {
                l--;
                er(1,1,o,(*l),x);
                if (r!=ms[t].end()) add(1,1,o,(*l),(*r));
                else add(1,1,o,(*l),1e9);
            }
            if (r!=ms[t].end()) er(1,1,o,x,(*r));
            else er(1,1,o,x,1e9);
            ms[t].erase(ms[t].find(x));
//            cerr<<"notpri"<<endl;
            if (ms[t].empty()) cnt--;
        }
        else
        {
            int x = i.ss.ff; int id = i.ss.ss;
            if (cnt<k) res[id] = -1;
            else
            {
                int l,r;
//                cerr<<"? "<<x<<' '<<cnt<<" = "<<id<<endl;
                l = 0; r = max(x-1,100000000-x);
                int ans = -1;
                while (l<=r)
                {
                    int mid = l+(r-l)/2;
                    if (get(1,1,o,x-mid,x+mid)==k)
                    {
                        ans = mid;
                        r=mid-1;
                    }
                    else l=mid+1;
                }
                res[id] = ans;
            }
        }
    }
    for (int i=1; i<=m; i++) cout<<res[i]<<'\n';
}
/**
4 2 4
3 1 1 10
9 2 1 7
7 2 1 4
4 1 1 10
5 3
5 5
5 8
1 4
**/

Compilation message

new_home.cpp: In function 'long long int lbound(node*&, long long int)':
new_home.cpp:131:14: warning: unused variable 'b' [-Wunused-variable]
  131 |     node *a,*b;
      |              ^
# Verdict Execution time Memory Grader output
1 Correct 9 ms 14420 KB Output is correct
2 Correct 8 ms 14432 KB Output is correct
3 Correct 9 ms 14424 KB Output is correct
4 Correct 11 ms 14336 KB Output is correct
5 Correct 16 ms 14548 KB Output is correct
6 Correct 24 ms 14572 KB Output is correct
7 Correct 11 ms 14548 KB Output is correct
8 Correct 11 ms 14664 KB Output is correct
9 Correct 14 ms 14640 KB Output is correct
10 Correct 25 ms 14676 KB Output is correct
11 Correct 12 ms 14476 KB Output is correct
12 Correct 11 ms 14548 KB Output is correct
13 Correct 8 ms 14572 KB Output is correct
14 Correct 11 ms 14572 KB Output is correct
15 Correct 15 ms 14600 KB Output is correct
16 Correct 15 ms 14572 KB Output is correct
17 Correct 12 ms 14548 KB Output is correct
18 Correct 14 ms 14572 KB Output is correct
19 Correct 11 ms 14616 KB Output is correct
20 Correct 15 ms 14548 KB Output is correct
21 Correct 9 ms 14548 KB Output is correct
22 Correct 10 ms 14656 KB Output is correct
23 Correct 12 ms 14696 KB Output is correct
24 Correct 12 ms 14576 KB Output is correct
25 Correct 14 ms 14504 KB Output is correct
26 Correct 11 ms 14548 KB Output is correct
27 Correct 11 ms 14548 KB Output is correct
28 Correct 11 ms 14572 KB Output is correct
29 Correct 10 ms 14572 KB Output is correct
30 Correct 11 ms 14508 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 14420 KB Output is correct
2 Correct 8 ms 14432 KB Output is correct
3 Correct 9 ms 14424 KB Output is correct
4 Correct 11 ms 14336 KB Output is correct
5 Correct 16 ms 14548 KB Output is correct
6 Correct 24 ms 14572 KB Output is correct
7 Correct 11 ms 14548 KB Output is correct
8 Correct 11 ms 14664 KB Output is correct
9 Correct 14 ms 14640 KB Output is correct
10 Correct 25 ms 14676 KB Output is correct
11 Correct 12 ms 14476 KB Output is correct
12 Correct 11 ms 14548 KB Output is correct
13 Correct 8 ms 14572 KB Output is correct
14 Correct 11 ms 14572 KB Output is correct
15 Correct 15 ms 14600 KB Output is correct
16 Correct 15 ms 14572 KB Output is correct
17 Correct 12 ms 14548 KB Output is correct
18 Correct 14 ms 14572 KB Output is correct
19 Correct 11 ms 14616 KB Output is correct
20 Correct 15 ms 14548 KB Output is correct
21 Correct 9 ms 14548 KB Output is correct
22 Correct 10 ms 14656 KB Output is correct
23 Correct 12 ms 14696 KB Output is correct
24 Correct 12 ms 14576 KB Output is correct
25 Correct 14 ms 14504 KB Output is correct
26 Correct 11 ms 14548 KB Output is correct
27 Correct 11 ms 14548 KB Output is correct
28 Correct 11 ms 14572 KB Output is correct
29 Correct 10 ms 14572 KB Output is correct
30 Correct 11 ms 14508 KB Output is correct
31 Execution timed out 5047 ms 79196 KB Time limit exceeded
32 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 5053 ms 269848 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 5064 ms 284384 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 9 ms 14420 KB Output is correct
2 Correct 8 ms 14432 KB Output is correct
3 Correct 9 ms 14424 KB Output is correct
4 Correct 11 ms 14336 KB Output is correct
5 Correct 16 ms 14548 KB Output is correct
6 Correct 24 ms 14572 KB Output is correct
7 Correct 11 ms 14548 KB Output is correct
8 Correct 11 ms 14664 KB Output is correct
9 Correct 14 ms 14640 KB Output is correct
10 Correct 25 ms 14676 KB Output is correct
11 Correct 12 ms 14476 KB Output is correct
12 Correct 11 ms 14548 KB Output is correct
13 Correct 8 ms 14572 KB Output is correct
14 Correct 11 ms 14572 KB Output is correct
15 Correct 15 ms 14600 KB Output is correct
16 Correct 15 ms 14572 KB Output is correct
17 Correct 12 ms 14548 KB Output is correct
18 Correct 14 ms 14572 KB Output is correct
19 Correct 11 ms 14616 KB Output is correct
20 Correct 15 ms 14548 KB Output is correct
21 Correct 9 ms 14548 KB Output is correct
22 Correct 10 ms 14656 KB Output is correct
23 Correct 12 ms 14696 KB Output is correct
24 Correct 12 ms 14576 KB Output is correct
25 Correct 14 ms 14504 KB Output is correct
26 Correct 11 ms 14548 KB Output is correct
27 Correct 11 ms 14548 KB Output is correct
28 Correct 11 ms 14572 KB Output is correct
29 Correct 10 ms 14572 KB Output is correct
30 Correct 11 ms 14508 KB Output is correct
31 Execution timed out 5047 ms 79196 KB Time limit exceeded
32 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 9 ms 14420 KB Output is correct
2 Correct 8 ms 14432 KB Output is correct
3 Correct 9 ms 14424 KB Output is correct
4 Correct 11 ms 14336 KB Output is correct
5 Correct 16 ms 14548 KB Output is correct
6 Correct 24 ms 14572 KB Output is correct
7 Correct 11 ms 14548 KB Output is correct
8 Correct 11 ms 14664 KB Output is correct
9 Correct 14 ms 14640 KB Output is correct
10 Correct 25 ms 14676 KB Output is correct
11 Correct 12 ms 14476 KB Output is correct
12 Correct 11 ms 14548 KB Output is correct
13 Correct 8 ms 14572 KB Output is correct
14 Correct 11 ms 14572 KB Output is correct
15 Correct 15 ms 14600 KB Output is correct
16 Correct 15 ms 14572 KB Output is correct
17 Correct 12 ms 14548 KB Output is correct
18 Correct 14 ms 14572 KB Output is correct
19 Correct 11 ms 14616 KB Output is correct
20 Correct 15 ms 14548 KB Output is correct
21 Correct 9 ms 14548 KB Output is correct
22 Correct 10 ms 14656 KB Output is correct
23 Correct 12 ms 14696 KB Output is correct
24 Correct 12 ms 14576 KB Output is correct
25 Correct 14 ms 14504 KB Output is correct
26 Correct 11 ms 14548 KB Output is correct
27 Correct 11 ms 14548 KB Output is correct
28 Correct 11 ms 14572 KB Output is correct
29 Correct 10 ms 14572 KB Output is correct
30 Correct 11 ms 14508 KB Output is correct
31 Execution timed out 5047 ms 79196 KB Time limit exceeded
32 Halted 0 ms 0 KB -