oj.uz

Submission #373833

# Submission time Handle Problem Language Result Execution time Memory
373833 2021-03-05T21:16:53 Z Bench0310 Dancing Elephants (IOI11_elephants) C++17
100 / 100
 2334 ms 48108 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

struct Node;
using twoNodes=array<Node*,2>;

struct Node
{
    int val;
    int sum;
    twoNodes kids;
    Node *p;
    Node *pathp;
    Node(int a){val=sum=a;kids[0]=kids[1]=p=pathp=nullptr;}
};

int side(Node *me){return (me->p?(me->p->kids[1]==me):0);}

void recalc(Node *me)
{
    if(!me) return;
    me->sum=me->val;
    for(Node *to:me->kids) if(to) me->sum+=to->sum;
}

void make_parent(Node *me,int id,Node *kid)
{
    if(me) me->kids[id]=kid;
    recalc(me);
    if(kid) kid->p=me;
}

void unmake_parent(Node *me,int id)
{
    make_parent(nullptr,0,me->kids[id]);
    make_parent(me,id,nullptr);
}

void rotate_up(Node *me)
{
    Node *p=me->p;
    int id=side(me);
    if(!p->p) swap(me->pathp,p->pathp);
    make_parent(p->p,side(p),me);
    make_parent(p,id,me->kids[id^1]);
    make_parent(me,id^1,p);
}

void splay(Node *me)
{
    while(me->p)
    {
        if(me->p->p)
        {
            if(side(me)==side(me->p)) rotate_up(me->p);
            else rotate_up(me);
        }
        rotate_up(me);
    }
    recalc(me);
}

void detach_path(Node *me)
{
    if(me->kids[1]) me->kids[1]->pathp=me;
    unmake_parent(me,1);
}

Node* access(Node *me)
{
    Node *up=me;
    splay(me);
    detach_path(me);
    while(me->pathp)
    {
        up=me->pathp;
        me->pathp=nullptr;
        splay(up);
        detach_path(up);
        make_parent(up,1,me);
        splay(me);
    }
    return up;
}

void cut(Node *me)
{
    access(me);
    unmake_parent(me,0);
}

void link(Node *me,Node *up)
{
    access(me);
    access(up);
    make_parent(me,0,up);
}

int query(Node *me)
{
    access(me);
    return me->sum;
}

const int inf=2000000005;
int n,l;
vector<int> x;
vector<Node*> v;
set<array<int,3>> both; //x,col,id
set<array<int,3>> white;

array<int,3> rep(int a,int c)
{
    return {(a!=0?(x[a]+c*l):(c*inf)),c,a};
}

Node* node(int a,int c)
{
    if(a==0) return v[c==1];
    else return v[2*a+c];
}

bool is_white(int a,int c)
{
    return (a==0||c==1);
}

void add_set(int a,int c)
{
    both.insert(rep(a,c));
    if(is_white(a,c)) white.insert(rep(a,c));
}

void rm_set(int a,int c)
{
    both.erase(rep(a,c));
    if(is_white(a,c)) white.erase(rep(a,c));
}

array<int,2> prv_white(int a,int c)
{
    auto it=white.lower_bound(rep(a,c));
    it--;
    return {(*it)[2],(*it)[1]};
}

array<int,2> nxt(int a,int c)
{
    auto it=both.find(rep(a,c));
    it++;
    return {(*it)[2],(*it)[1]};
}

void connect(int a,int c)
{
    auto it=both.upper_bound(rep(a,c));
    link(node(a,c),node((*it)[2],(*it)[1]));
}

void add(int a)
{
    add_set(a,0);
    add_set(a,1);
    link(node(a,0),node(a,1));
    auto [na,nc]=nxt(a,1);
    link(node(a,1),node(na,nc));
    auto [xa,xc]=prv_white(a,0);
    auto [ya,yc]=prv_white(a,1);
    bool diff=(xa!=ya||xc!=yc);
    cut(node(xa,xc));
    if(diff) cut(node(ya,yc));
    connect(xa,xc);
    if(diff) connect(ya,yc);
}

void rm(int a)
{
    cut(node(a,1));
    cut(node(a,0));
    auto [xa,xc]=prv_white(a,0);
    auto [ya,yc]=prv_white(a,1);
    bool diff=(xa!=ya||xc!=yc);
    cut(node(xa,xc));
    if(diff) cut(node(ya,yc));
    rm_set(a,0);
    rm_set(a,1);
    connect(xa,xc);
    if(diff) connect(ya,yc);
}

void init(int nn,int nl,int *nx)
{
    n=nn;
    l=nl;
    x.assign(n+1,0);
    for(int i=1;i<=n;i++) x[i]=nx[i-1];
    v.assign(2*n+2,nullptr);
    v[0]=new Node(0);
    v[1]=new Node(0);
    for(int i=1;i<=n;i++)
    {
        v[2*i]=new Node(1);
        v[2*i+1]=new Node(0);
    }
    link(v[0],v[1]);
    add_set(0,-1);
    add_set(0,1);
    for(int i=1;i<=n;i++) add(i);
}

int update(int a,int y)
{
    a++;
    rm(a);
    x[a]=y;
    add(a);
    return query(v[0]);
}

//int main()
//{
//    ios::sync_with_stdio(0);
//    cin.tie(0);
//    init(4,10,{10,15,17,20});
//    cout << update(2,16) << endl;
//    cout << update(1,25) << endl;
//    cout << update(3,35) << endl;
//    cout << update(0,38) << endl;
//    cout << update(2,0) << endl;
//    return 0;
//}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct

Subtask #3
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 150 ms 4716 KB Output is correct
8 Correct 162 ms 6380 KB Output is correct
9 Correct 389 ms 16236 KB Output is correct
10 Correct 264 ms 16392 KB Output is correct
11 Correct 303 ms 16364 KB Output is correct
12 Correct 618 ms 16236 KB Output is correct
13 Correct 301 ms 16236 KB Output is correct

Subtask #4
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 150 ms 4716 KB Output is correct
8 Correct 162 ms 6380 KB Output is correct
9 Correct 389 ms 16236 KB Output is correct
10 Correct 264 ms 16392 KB Output is correct
11 Correct 303 ms 16364 KB Output is correct
12 Correct 618 ms 16236 KB Output is correct
13 Correct 301 ms 16236 KB Output is correct
14 Correct 347 ms 6636 KB Output is correct
15 Correct 295 ms 8556 KB Output is correct
16 Correct 860 ms 16420 KB Output is correct
17 Correct 922 ms 22528 KB Output is correct
18 Correct 971 ms 22648 KB Output is correct
19 Correct 388 ms 22764 KB Output is correct
20 Correct 926 ms 22636 KB Output is correct
21 Correct 963 ms 22508 KB Output is correct
22 Correct 438 ms 22636 KB Output is correct

Subtask #5
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 150 ms 4716 KB Output is correct
8 Correct 162 ms 6380 KB Output is correct
9 Correct 389 ms 16236 KB Output is correct
10 Correct 264 ms 16392 KB Output is correct
11 Correct 303 ms 16364 KB Output is correct
12 Correct 618 ms 16236 KB Output is correct
13 Correct 301 ms 16236 KB Output is correct
14 Correct 347 ms 6636 KB Output is correct
15 Correct 295 ms 8556 KB Output is correct
16 Correct 860 ms 16420 KB Output is correct
17 Correct 922 ms 22528 KB Output is correct
18 Correct 971 ms 22648 KB Output is correct
19 Correct 388 ms 22764 KB Output is correct
20 Correct 926 ms 22636 KB Output is correct
21 Correct 963 ms 22508 KB Output is correct
22 Correct 438 ms 22636 KB Output is correct
23 Correct 1546 ms 47980 KB Output is correct
24 Correct 1591 ms 47980 KB Output is correct
25 Correct 1327 ms 48108 KB Output is correct
26 Correct 874 ms 47980 KB Output is correct
27 Correct 843 ms 47980 KB Output is correct
28 Correct 912 ms 3564 KB Output is correct
29 Correct 921 ms 3564 KB Output is correct
30 Correct 922 ms 3564 KB Output is correct
31 Correct 913 ms 3452 KB Output is correct
32 Correct 969 ms 47880 KB Output is correct
33 Correct 911 ms 47980 KB Output is correct
34 Correct 848 ms 48108 KB Output is correct
35 Correct 870 ms 47980 KB Output is correct
36 Correct 1609 ms 47980 KB Output is correct
37 Correct 1937 ms 47960 KB Output is correct
38 Correct 992 ms 47980 KB Output is correct
39 Correct 877 ms 47852 KB Output is correct
40 Correct 998 ms 47852 KB Output is correct
41 Correct 2308 ms 47852 KB Output is correct
42 Correct 2334 ms 48024 KB Output is correct