oj.uz

Submission #947328

# Submission time Handle Problem Language Result Execution time Memory
947328 2024-03-15T22:07:48 Z ttamx Abracadabra (CEOI22_abracadabra) C++17
100 / 100
 951 ms 66172 KB 
#include<bits/stdc++.h>

using namespace std;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

struct Treap{
    struct node;
    using pnode = node*;
    struct node{
        int val,freq,sz,prio;
        pnode l,r;
        node(int _val,int _freq=1):val(_val),freq(_freq),sz(_freq),prio(rng()),l(nullptr),r(nullptr){}
    };
    pnode rt;
    Treap():rt(nullptr){}
    static int get_val(pnode t){
        return t?t->val:0;
    }
    static int get_sz(pnode t){
        return t?t->sz:0;
    }
    static void pull(pnode t){
        if(!t)return;
        t->sz=get_sz(t->l)+t->freq+get_sz(t->r);
    }
    static void merge(pnode &t,pnode l,pnode r){
        if(!l)return void(t=r);
        if(!r)return void(t=l);
        if(l->prio>r->prio)merge(l->r,l->r,r),t=l;
        else merge(r->l,l,r->l),t=r;
        pull(t);
    }
    void merge(pnode l,pnode r){
        merge(rt,l,r);
    }
    static void split(pnode t,pnode &l,pnode &r,int k){
        if(!t)return void(l=r=nullptr);
        int x=t->freq+get_sz(t->l);
        if(x>k)split(t->l,l,t->l,k),r=t;
        else split(t->r,t->r,r,k-x),l=t;
        pull(t);
    }
    void split(pnode &l,pnode &r,int k){
        split(rt,l,r,k);
    }
    static void split_first(pnode t,pnode &l,pnode &r){
        if(!t)return void(l=r=nullptr);
        if(t->l)split_first(t->l,l,t->l),r=t;
        else l=t,r=t->r,t->r=nullptr;
        pull(t);
    }
    static void split_by_val(pnode t,pnode &l,pnode &r,int key){
        if(!t)return void(l=r=nullptr);
        if(t->val>=key)split_by_val(t->l,l,t->l,key),r=t;
        else split_by_val(t->r,t->r,r,key),l=t;
        pull(t);
    }
    void split_by_val(pnode &l,pnode &r,int key){
        split_by_val(rt,l,r,key);
    }
    static int get_first(pnode t){
        if(!t)return 0;
        if(t->l)return get_first(t->l);
        return t->val;
    }
    int get_first(){
        return get_first(rt);
    }
    pair<int,int> get(pnode t,int k){
        if(k<=get_sz(t->l))return get(t->l,k);
        if(k>t->freq+get_sz(t->l))return get(t->r,k-t->freq-get_sz(t->l));
        return {t->val,k-get_sz(t->l)};
    }
    pair<int,int> get(int k){
        return get(rt,k);
    }
    void insert(int val,int freq=1){
        merge(rt,new node(val,freq));
    }
    int size(){
        return get_sz(rt);
    }
};
using node = Treap::node;
using pnode = Treap::pnode;

const int N=2e5+5;
const int Q=1e6+5;

int n,q;
int a[N],nxt[N],inv[N],pre[N];
stack<int> s;
Treap t[N],tr;
bool done=false;
vector<tuple<int,int,int>> qr;
int ans[Q];

void insert_main_tree(int id,int freq){
    pnode t1,t2;
    tr.split_by_val(t1,t2,id);
    tr.merge(t1,new node(id,freq));
    tr.merge(tr.rt,t2);
}

void work(){
    if(done)return;
    pnode t1,t2,t3;
    tr.split(t1,t2,n/2);
    int rem=n/2-Treap::get_sz(t1);
    if(!rem)return done=true,tr.merge(t1,t2);
    Treap::split_first(t2,t2,t3);
    int id=inv[t2->val];
    int tar=nxt[id];
    t[id].split(t[id].rt,t2,rem);
    tr.merge(t1,new node(a[id],t[id].size()));
    id=inv[Treap::get_first(t2)];
    tr.merge(tr.rt,t3);
    for(int i=id;t2;i=nxt[i]){
        Treap::split(t2,t[i].rt,t2,nxt[i]-i);
        insert_main_tree(a[i],t[i].size());
    }
}

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    cin >> n >> q;
    for(int i=1;i<=n;i++)cin >> a[i],inv[a[i]]=i;
    for(int i=1;i<=n;i++){
        while(!s.empty()&&a[i]>a[s.top()]){
            int j=s.top();
            s.pop();
            nxt[j]=i;
        }
        if(s.empty()){
            t[i].insert(a[i]);
            pre[i]=i;
        }else{
            pre[i]=pre[s.top()];
            t[pre[i]].insert(a[i]);
        }
        s.emplace(i);
    }
    inv[0]=n+1;
    while(!s.empty()){
        nxt[s.top()]=n+1;
        s.pop();
    }
    for(int i=1;i<=n;i++)if(pre[i]==i)tr.insert(a[i],t[i].size());
    for(int i=0;i<q;i++){
        int x,y;
        cin >> x >> y;
        qr.emplace_back(x,y,i);
    }
    sort(qr.begin(),qr.end());
    int cnt=0;
    for(auto [x,y,i]:qr){
        while(!done&&cnt<x){
            work();
            cnt++;
        }
        auto [val,rem]=tr.get(y);
        ans[i]=t[inv[val]].get(rem).first;
    }
    for(int i=0;i<q;i++)cout << ans[i] << "\n";
}

Compilation message

Main.cpp: In function 'void work()':
Main.cpp:114:9: warning: unused variable 'tar' [-Wunused-variable]
  114 |     int tar=nxt[id];
      |         ^~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 309 ms 30768 KB Output is correct
2 Correct 292 ms 30360 KB Output is correct
3 Correct 294 ms 30688 KB Output is correct
4 Correct 278 ms 28840 KB Output is correct
5 Correct 294 ms 30240 KB Output is correct
6 Correct 288 ms 29056 KB Output is correct
7 Correct 304 ms 30464 KB Output is correct
8 Correct 273 ms 30404 KB Output is correct
9 Correct 275 ms 29900 KB Output is correct
10 Correct 272 ms 29364 KB Output is correct
11 Correct 281 ms 29396 KB Output is correct
12 Correct 259 ms 28540 KB Output is correct
13 Correct 291 ms 29748 KB Output is correct
14 Correct 281 ms 29740 KB Output is correct
15 Correct 288 ms 30128 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 253 ms 28684 KB Output is correct
18 Correct 267 ms 28844 KB Output is correct
19 Correct 1 ms 6488 KB Output is correct
20 Correct 1 ms 6488 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 381 ms 62436 KB Output is correct
2 Correct 334 ms 57768 KB Output is correct
3 Correct 310 ms 50460 KB Output is correct
4 Correct 306 ms 44600 KB Output is correct
5 Correct 315 ms 46512 KB Output is correct
6 Correct 284 ms 43132 KB Output is correct
7 Correct 352 ms 49220 KB Output is correct
8 Correct 308 ms 47532 KB Output is correct
9 Correct 304 ms 46200 KB Output is correct
10 Correct 289 ms 44720 KB Output is correct
11 Correct 281 ms 41644 KB Output is correct
12 Correct 284 ms 43180 KB Output is correct
13 Correct 303 ms 45824 KB Output is correct
14 Correct 273 ms 42784 KB Output is correct
15 Correct 301 ms 47532 KB Output is correct
16 Correct 33 ms 17244 KB Output is correct
17 Correct 271 ms 53120 KB Output is correct
18 Correct 253 ms 40684 KB Output is correct
19 Correct 82 ms 24768 KB Output is correct
20 Correct 94 ms 25396 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 133 ms 26064 KB Output is correct
2 Correct 94 ms 22556 KB Output is correct
3 Correct 138 ms 23292 KB Output is correct
4 Correct 72 ms 17496 KB Output is correct
5 Correct 110 ms 20820 KB Output is correct
6 Correct 79 ms 17856 KB Output is correct
7 Correct 106 ms 19704 KB Output is correct
8 Correct 85 ms 18448 KB Output is correct
9 Correct 93 ms 19780 KB Output is correct
10 Correct 61 ms 16636 KB Output is correct
11 Correct 63 ms 16836 KB Output is correct
12 Correct 60 ms 16584 KB Output is correct
13 Correct 73 ms 16832 KB Output is correct
14 Correct 78 ms 16816 KB Output is correct
15 Correct 60 ms 16576 KB Output is correct
16 Correct 17 ms 11856 KB Output is correct
17 Correct 50 ms 21448 KB Output is correct
18 Correct 46 ms 16656 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 309 ms 30768 KB Output is correct
2 Correct 292 ms 30360 KB Output is correct
3 Correct 294 ms 30688 KB Output is correct
4 Correct 278 ms 28840 KB Output is correct
5 Correct 294 ms 30240 KB Output is correct
6 Correct 288 ms 29056 KB Output is correct
7 Correct 304 ms 30464 KB Output is correct
8 Correct 273 ms 30404 KB Output is correct
9 Correct 275 ms 29900 KB Output is correct
10 Correct 272 ms 29364 KB Output is correct
11 Correct 281 ms 29396 KB Output is correct
12 Correct 259 ms 28540 KB Output is correct
13 Correct 291 ms 29748 KB Output is correct
14 Correct 281 ms 29740 KB Output is correct
15 Correct 288 ms 30128 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 253 ms 28684 KB Output is correct
18 Correct 267 ms 28844 KB Output is correct
19 Correct 1 ms 6488 KB Output is correct
20 Correct 1 ms 6488 KB Output is correct
21 Correct 381 ms 62436 KB Output is correct
22 Correct 334 ms 57768 KB Output is correct
23 Correct 310 ms 50460 KB Output is correct
24 Correct 306 ms 44600 KB Output is correct
25 Correct 315 ms 46512 KB Output is correct
26 Correct 284 ms 43132 KB Output is correct
27 Correct 352 ms 49220 KB Output is correct
28 Correct 308 ms 47532 KB Output is correct
29 Correct 304 ms 46200 KB Output is correct
30 Correct 289 ms 44720 KB Output is correct
31 Correct 281 ms 41644 KB Output is correct
32 Correct 284 ms 43180 KB Output is correct
33 Correct 303 ms 45824 KB Output is correct
34 Correct 273 ms 42784 KB Output is correct
35 Correct 301 ms 47532 KB Output is correct
36 Correct 33 ms 17244 KB Output is correct
37 Correct 271 ms 53120 KB Output is correct
38 Correct 253 ms 40684 KB Output is correct
39 Correct 82 ms 24768 KB Output is correct
40 Correct 94 ms 25396 KB Output is correct
41 Correct 133 ms 26064 KB Output is correct
42 Correct 94 ms 22556 KB Output is correct
43 Correct 138 ms 23292 KB Output is correct
44 Correct 72 ms 17496 KB Output is correct
45 Correct 110 ms 20820 KB Output is correct
46 Correct 79 ms 17856 KB Output is correct
47 Correct 106 ms 19704 KB Output is correct
48 Correct 85 ms 18448 KB Output is correct
49 Correct 93 ms 19780 KB Output is correct
50 Correct 61 ms 16636 KB Output is correct
51 Correct 63 ms 16836 KB Output is correct
52 Correct 60 ms 16584 KB Output is correct
53 Correct 73 ms 16832 KB Output is correct
54 Correct 78 ms 16816 KB Output is correct
55 Correct 60 ms 16576 KB Output is correct
56 Correct 17 ms 11856 KB Output is correct
57 Correct 50 ms 21448 KB Output is correct
58 Correct 46 ms 16656 KB Output is correct
59 Correct 1 ms 6492 KB Output is correct
60 Correct 1 ms 6492 KB Output is correct
61 Correct 951 ms 66172 KB Output is correct
62 Correct 769 ms 58764 KB Output is correct
63 Correct 878 ms 59688 KB Output is correct
64 Correct 679 ms 50600 KB Output is correct
65 Correct 779 ms 51776 KB Output is correct
66 Correct 712 ms 50136 KB Output is correct
67 Correct 735 ms 48700 KB Output is correct
68 Correct 741 ms 47712 KB Output is correct
69 Correct 665 ms 49040 KB Output is correct
70 Correct 613 ms 45864 KB Output is correct
71 Correct 451 ms 44468 KB Output is correct
72 Correct 568 ms 45588 KB Output is correct
73 Correct 500 ms 44720 KB Output is correct
74 Correct 576 ms 42968 KB Output is correct
75 Correct 564 ms 43108 KB Output is correct
76 Correct 33 ms 16792 KB Output is correct
77 Correct 366 ms 51272 KB Output is correct
78 Correct 355 ms 44128 KB Output is correct
79 Correct 1 ms 6492 KB Output is correct
80 Correct 1 ms 6492 KB Output is correct