oj.uz

Submission #298767

# Submission time Handle Problem Language Result Execution time Memory
298767 2020-09-14T01:48:58 Z Pro_ktmr Monochrome Points (JOI20_monochrome) C++14
35 / 100
 2000 ms 262540 KB 
#pragma GCC target ("avx2")
#pragma GCC optimize ("unroll-loops")
#pragma GCC optimize ("O3")
#include "bits/stdc++.h"
#include <unordered_set>
#include <unordered_map>
#include <random>
using namespace std;
typedef long long ll;
const ll MOD = 1'000'000'007LL; /*998'244'353LL;*/
#define pb push_back
#define mp make_pair
#define all(x) (x).begin(), (x).end()
#define rep(i, n) for(int (i)=0; (i)<(n); (i)++)
const int dx[4]={ 1,0,-1,0 };
const int dy[4]={ 0,1,0,-1 };

template<typename T>
struct TreapSet{
private:
    struct Node{
        T x; // value
        int p; // priority
        Node* par; // parent
        Node* chi[2]; // children
        int s; // size of subtree
        T m; // minimum value of subtree
        Node(T _x, std::mt19937& mt){
            x = _x;
            p = mt();
            par = NULL;
            chi[0] = NULL;
            chi[1] = NULL;
            s = 1;
            m = _x;
        }
        bool operator==(const Node& u){
            return x == u.x;
        }
        bool operator<(const Node& u){
            return x < u.x;
        }
    };

    int N;
    Node* root;
    std::mt19937 mt;

    Node* find(T _x){
        Node* u = root;
        while(u != NULL && u->x != _x){
            if(u->x > _x) u = u->chi[0];
            else u = u->chi[1];
        }
        return u;
    }
    void update(Node* u){
        u->s = (u->chi[0] != NULL ? u->chi[0]->s : 0) + (u->chi[1] != NULL ? u->chi[1]->s : 0) + 1;
        u->m = u->x;
        if(u->chi[0] != NULL && u->chi[0]->m < u->m) u->m = u->chi[0]->m;
        if(u->chi[1] != NULL && u->chi[1]->m < u->m) u->m = u->chi[1]->m;
    }
    void rotateRight(Node* u){
        Node* p = u->par;
        u->par = p->par;
        if(p->par != NULL){
            if(p->par->chi[0] == p) p->par->chi[0] = u;
            else p->par->chi[1] = u;
        }
        p->par = u;
        p->chi[0] = u->chi[1];
        if(u->chi[1] != NULL) u->chi[1]->par = p;
        u->chi[1] = p;
        update(p);
        update(u);
    }
    void rotateLeft(Node* u){
        Node* p = u->par;
        u->par = p->par;
        if(p->par != NULL){
            if(p->par->chi[0] == p) p->par->chi[0] = u;
            else p->par->chi[1] = u;
        }
        p->par = u;
        p->chi[1] = u->chi[0];
        if(u->chi[0] != NULL) u->chi[0]->par = p;
        u->chi[0] = p;
        update(p);
        update(u);
    }
    void bubbleUp(Node* u){
        while(u->par != NULL && u->par->p > u->p){
            if(u->par->chi[0] == u) rotateRight(u);
            else rotateLeft(u);
        }
        if(u->par == NULL) root = u;
    }
public:
    TreapSet(){
        N = 0;
        root = NULL;
        std::mt19937 mt2(869120);
        mt = mt2;
    }
    void add(T _x){
        Node* u = new Node(_x, mt);
        if(N == 0){
            root = u;
        }
        else{
            Node* p = root;
            Node* v = root;
            while(v != NULL){
                p = v;
                p->s++;
                if(p->m > _x) p->m = _x;
                if(v->x > _x) v = v->chi[0];
                else v = v->chi[1];
            }
            if(p->x > _x){
                p->chi[0] = u;
                u->par = p;
            }
            else{
                p->chi[1] = u;
                u->par = p;
            }
            bubbleUp(u);
        }
        N++;
    }
    int lower_bound(T _x){
        Node* u = root;
        bool seted = false;
        T ret;
        while(u != NULL){
            if(u->x >= _x && (!seted || u->x < ret)){
                ret = u->x;
                seted = true;
            }
            if(u->chi[0] == NULL) u = u->chi[1];
            else if(u->chi[1] == NULL) u = u->chi[0];
            else if(u->chi[1]->m <= _x) u = u->chi[1];
            else{
                if(!seted || ret > u->chi[1]->m){
                    ret = u->chi[1]->m;
                    seted = true;
                }
                u = u->chi[0];
            }
        }
        if(!seted) return N;
        return index(ret);
    }
    int index(T _x){
        Node* u = root;
        int ret = 0;
        while(u != NULL && u->x != _x){
            if(u->x > _x) u = u->chi[0];
            else{
                ret += (u->chi[0] != NULL ? u->chi[0]->s : 0) + 1;
                u = u->chi[1];
            }
        }
        if(u == NULL) return -1;
        if(u->chi[0] != NULL) ret += u->chi[0]->s;
        return ret;
    }
};

void rotate(vector<pair<int,int>> &v, int idx){
    vector<pair<int,int>> ret;
    for(int i=idx; i<v.size(); i++) ret.pb(v[idx]);
    rep(i, idx) ret.pb(v[i]);
    v = ret;
}

void merge(vector<pair<int,int>> &a, vector<pair<int,int>> &b){
    int N = a.size() + b.size();
    int i = a.size()-1; int j = b.size()-1;
    a.resize(N);
    for(int k=N-1; k>=0; k--){
        if(i == -1){
            a[k] = b[j];
            j--;
        }
        else if(j == -1){
            a[k] = a[i];
            i--;
        }
        else if(a[i] > b[j]){
            a[k] = a[i];
            i--;
        }
        else{
            a[k] = b[j];
            j--;
        }
    }
}

int N;
char S[400001];
vector<int> B, W;

ll memo[200000];
ll solve(int i){
    if(memo[i] != -1) return memo[i];
    vector<pair<int,int>> v, v2;
    rep(j, N){
        int a = B[j];
        int b = W[(i+j)%N];
        if(a > b){
            v.pb({a, b});
        }
        else{
            v2.pb({b, a});
        }
    }
    rep(j, (int)v2.size()-1){
        if(v2[j] > v2[j+1]){
            rotate(v2, j+1);
            break;
        }
    }
    merge(v, v2);

    TreapSet<int> st;
    ll tmp = 0;
    for(int j=N-1; j>=0; j--){
        tmp += st.lower_bound(v[j].first) - st.lower_bound(v[j].second+1);
        st.add(v[j].second);
    }
    return memo[i] = tmp;
}

signed main(){
    scanf("%d", &N);
    scanf("%s", S);
    rep(i, 2*N){
        if(S[i] == 'B') B.pb(i);
        if(S[i] == 'W') W.pb(i);
    }
    memset(memo, -1, sizeof(memo));
    ll ans = 0;
    int v = (N+1) / 2;
    int n = 0;
    while(v > 0){
        ll a1 = solve(n);
        ll a2 = solve((n+1)%N);
        ans = max({ans,a1,a2});
        if(a1 >= a2) n = (n-v+N) % N;
        else n = (n+v) % N;
        if(v == 1) break;
        v = (v+1) / 2;
    }
    printf("%lld\n", ans);
}

Compilation message

monochrome.cpp: In function 'void rotate(std::vector<std::pair<int, int> >&, int)':
monochrome.cpp:173:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  173 |     for(int i=idx; i<v.size(); i++) ret.pb(v[idx]);
      |                    ~^~~~~~~~~
monochrome.cpp:14:27: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   14 | #define rep(i, n) for(int (i)=0; (i)<(n); (i)++)
      |                           ^
monochrome.cpp:174:5: note: in expansion of macro 'rep'
  174 |     rep(i, idx) ret.pb(v[i]);
      |     ^~~
monochrome.cpp: In function 'll solve(int)':
monochrome.cpp:14:27: warning: unnecessary parentheses in declaration of 'j' [-Wparentheses]
   14 | #define rep(i, n) for(int (i)=0; (i)<(n); (i)++)
      |                           ^
monochrome.cpp:210:5: note: in expansion of macro 'rep'
  210 |     rep(j, N){
      |     ^~~
monochrome.cpp:14:27: warning: unnecessary parentheses in declaration of 'j' [-Wparentheses]
   14 | #define rep(i, n) for(int (i)=0; (i)<(n); (i)++)
      |                           ^
monochrome.cpp:220:5: note: in expansion of macro 'rep'
  220 |     rep(j, (int)v2.size()-1){
      |     ^~~
monochrome.cpp: In function 'int main()':
monochrome.cpp:14:27: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   14 | #define rep(i, n) for(int (i)=0; (i)<(n); (i)++)
      |                           ^
monochrome.cpp:240:5: note: in expansion of macro 'rep'
  240 |     rep(i, 2*N){
      |     ^~~
monochrome.cpp:238:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  238 |     scanf("%d", &N);
      |     ~~~~~^~~~~~~~~~
monochrome.cpp:239:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  239 |     scanf("%s", S);
      |     ~~~~~^~~~~~~~~
monochrome.cpp: In function 'll solve(int)':
monochrome.cpp:145:27: warning: 'ret' may be used uninitialized in this function [-Wmaybe-uninitialized]
  145 |                 if(!seted || ret > u->chi[1]->m){
      |                    ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
monochrome.cpp:135:11: note: 'ret' was declared here
  135 |         T ret;
      |           ^~~
monochrome.cpp:145:27: warning: 'ret' may be used uninitialized in this function [-Wmaybe-uninitialized]
  145 |                 if(!seted || ret > u->chi[1]->m){
      |                    ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
monochrome.cpp:135:11: note: 'ret' was declared here
  135 |         T ret;
      |           ^~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1920 KB Output is correct
2 Correct 2 ms 1920 KB Output is correct
3 Correct 1 ms 1920 KB Output is correct
4 Correct 1 ms 1920 KB Output is correct
5 Correct 2 ms 1920 KB Output is correct
6 Correct 1 ms 1920 KB Output is correct
7 Correct 2 ms 2048 KB Output is correct
8 Correct 1 ms 1920 KB Output is correct
9 Correct 1 ms 1920 KB Output is correct
10 Correct 1 ms 1920 KB Output is correct
11 Correct 2 ms 1920 KB Output is correct
12 Correct 2 ms 1920 KB Output is correct
13 Correct 2 ms 1920 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1920 KB Output is correct
2 Correct 2 ms 1920 KB Output is correct
3 Correct 1 ms 1920 KB Output is correct
4 Correct 1 ms 1920 KB Output is correct
5 Correct 2 ms 1920 KB Output is correct
6 Correct 1 ms 1920 KB Output is correct
7 Correct 2 ms 2048 KB Output is correct
8 Correct 1 ms 1920 KB Output is correct
9 Correct 1 ms 1920 KB Output is correct
10 Correct 1 ms 1920 KB Output is correct
11 Correct 2 ms 1920 KB Output is correct
12 Correct 2 ms 1920 KB Output is correct
13 Correct 2 ms 1920 KB Output is correct
14 Correct 3 ms 2048 KB Output is correct
15 Correct 3 ms 2176 KB Output is correct
16 Correct 3 ms 2176 KB Output is correct
17 Correct 3 ms 2176 KB Output is correct
18 Correct 3 ms 2048 KB Output is correct
19 Correct 3 ms 2048 KB Output is correct
20 Correct 3 ms 2048 KB Output is correct
21 Correct 3 ms 2048 KB Output is correct
22 Correct 3 ms 2048 KB Output is correct
23 Correct 2 ms 2176 KB Output is correct
24 Correct 2 ms 2048 KB Output is correct
25 Correct 3 ms 2048 KB Output is correct
26 Correct 3 ms 2048 KB Output is correct
27 Correct 3 ms 2048 KB Output is correct
28 Correct 3 ms 2176 KB Output is correct
29 Correct 2 ms 2048 KB Output is correct
30 Correct 2 ms 2048 KB Output is correct
31 Correct 2 ms 2176 KB Output is correct
32 Correct 2 ms 2048 KB Output is correct
33 Correct 3 ms 2048 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1920 KB Output is correct
2 Correct 2 ms 1920 KB Output is correct
3 Correct 1 ms 1920 KB Output is correct
4 Correct 1 ms 1920 KB Output is correct
5 Correct 2 ms 1920 KB Output is correct
6 Correct 1 ms 1920 KB Output is correct
7 Correct 2 ms 2048 KB Output is correct
8 Correct 1 ms 1920 KB Output is correct
9 Correct 1 ms 1920 KB Output is correct
10 Correct 1 ms 1920 KB Output is correct
11 Correct 2 ms 1920 KB Output is correct
12 Correct 2 ms 1920 KB Output is correct
13 Correct 2 ms 1920 KB Output is correct
14 Correct 3 ms 2048 KB Output is correct
15 Correct 3 ms 2176 KB Output is correct
16 Correct 3 ms 2176 KB Output is correct
17 Correct 3 ms 2176 KB Output is correct
18 Correct 3 ms 2048 KB Output is correct
19 Correct 3 ms 2048 KB Output is correct
20 Correct 3 ms 2048 KB Output is correct
21 Correct 3 ms 2048 KB Output is correct
22 Correct 3 ms 2048 KB Output is correct
23 Correct 2 ms 2176 KB Output is correct
24 Correct 2 ms 2048 KB Output is correct
25 Correct 3 ms 2048 KB Output is correct
26 Correct 3 ms 2048 KB Output is correct
27 Correct 3 ms 2048 KB Output is correct
28 Correct 3 ms 2176 KB Output is correct
29 Correct 2 ms 2048 KB Output is correct
30 Correct 2 ms 2048 KB Output is correct
31 Correct 2 ms 2176 KB Output is correct
32 Correct 2 ms 2048 KB Output is correct
33 Correct 3 ms 2048 KB Output is correct
34 Correct 16 ms 3968 KB Output is correct
35 Correct 18 ms 3968 KB Output is correct
36 Correct 15 ms 3968 KB Output is correct
37 Correct 17 ms 3832 KB Output is correct
38 Correct 11 ms 3840 KB Output is correct
39 Correct 13 ms 3968 KB Output is correct
40 Correct 12 ms 3968 KB Output is correct
41 Correct 12 ms 3584 KB Output is correct
42 Correct 15 ms 3968 KB Output is correct
43 Correct 13 ms 3968 KB Output is correct
44 Correct 14 ms 3712 KB Output is correct
45 Correct 11 ms 3840 KB Output is correct
46 Correct 13 ms 3968 KB Output is correct
47 Correct 13 ms 3968 KB Output is correct
48 Correct 13 ms 3968 KB Output is correct
49 Correct 11 ms 3712 KB Output is correct
50 Correct 9 ms 3840 KB Output is correct
51 Correct 10 ms 3840 KB Output is correct
52 Correct 13 ms 3840 KB Output is correct

Subtask #4
0.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1920 KB Output is correct
2 Correct 2 ms 1920 KB Output is correct
3 Correct 1 ms 1920 KB Output is correct
4 Correct 1 ms 1920 KB Output is correct
5 Correct 2 ms 1920 KB Output is correct
6 Correct 1 ms 1920 KB Output is correct
7 Correct 2 ms 2048 KB Output is correct
8 Correct 1 ms 1920 KB Output is correct
9 Correct 1 ms 1920 KB Output is correct
10 Correct 1 ms 1920 KB Output is correct
11 Correct 2 ms 1920 KB Output is correct
12 Correct 2 ms 1920 KB Output is correct
13 Correct 2 ms 1920 KB Output is correct
14 Correct 3 ms 2048 KB Output is correct
15 Correct 3 ms 2176 KB Output is correct
16 Correct 3 ms 2176 KB Output is correct
17 Correct 3 ms 2176 KB Output is correct
18 Correct 3 ms 2048 KB Output is correct
19 Correct 3 ms 2048 KB Output is correct
20 Correct 3 ms 2048 KB Output is correct
21 Correct 3 ms 2048 KB Output is correct
22 Correct 3 ms 2048 KB Output is correct
23 Correct 2 ms 2176 KB Output is correct
24 Correct 2 ms 2048 KB Output is correct
25 Correct 3 ms 2048 KB Output is correct
26 Correct 3 ms 2048 KB Output is correct
27 Correct 3 ms 2048 KB Output is correct
28 Correct 3 ms 2176 KB Output is correct
29 Correct 2 ms 2048 KB Output is correct
30 Correct 2 ms 2048 KB Output is correct
31 Correct 2 ms 2176 KB Output is correct
32 Correct 2 ms 2048 KB Output is correct
33 Correct 3 ms 2048 KB Output is correct
34 Correct 16 ms 3968 KB Output is correct
35 Correct 18 ms 3968 KB Output is correct
36 Correct 15 ms 3968 KB Output is correct
37 Correct 17 ms 3832 KB Output is correct
38 Correct 11 ms 3840 KB Output is correct
39 Correct 13 ms 3968 KB Output is correct
40 Correct 12 ms 3968 KB Output is correct
41 Correct 12 ms 3584 KB Output is correct
42 Correct 15 ms 3968 KB Output is correct
43 Correct 13 ms 3968 KB Output is correct
44 Correct 14 ms 3712 KB Output is correct
45 Correct 11 ms 3840 KB Output is correct
46 Correct 13 ms 3968 KB Output is correct
47 Correct 13 ms 3968 KB Output is correct
48 Correct 13 ms 3968 KB Output is correct
49 Correct 11 ms 3712 KB Output is correct
50 Correct 9 ms 3840 KB Output is correct
51 Correct 10 ms 3840 KB Output is correct
52 Correct 13 ms 3840 KB Output is correct
53 Execution timed out 2062 ms 262540 KB Time limit exceeded
54 Halted 0 ms 0 KB -