oj.uz

Submission #1091616

# Submission time Handle Problem Language Result Execution time Memory
1091616 2024-09-21T14:31:46 Z steveonalex Bubble Sort 2 (JOI18_bubblesort2) C++17
60 / 100
 9000 ms 36240 KB 
#include <bits/stdc++.h>
#include "bubblesort2.h"
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
 
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
 
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
    double cur = rngesus(0, MASK(60) - 1);
    cur /= MASK(60) - 1;
    return l + cur * (r - l);
}
 
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }
 
template <class T>
    void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }
 
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }
 
const int BLOCK = 3000;
const int INF = 1e9 + 69;
 
int di(int x, int y){
    return x / y + (x % y > 0);
}


struct FenwickTree{
    int n;
    vector<int> a;
 
    FenwickTree(int _n){
        n = _n;
        a.resize(n+1);
    }
 
    void update(int i, int v){
        while(i <= n){
            a[i] += v;
            i += LASTBIT(i);
        }
    }
 
    int get(int i){
        int ans = 0;
        while(i > 0){
            ans += a[i];
            i -= LASTBIT(i);
        }
        return ans;
    }
};

vector<int> get_inverse(vector<int> A){
    int n = A.size();
    vector<int> B = A;
    remove_dup(B);

    FenwickTree bit(B.size());
    vector<int> ans(n);
    for(int i = 0; i<n; ++i){
        int idx = lower_bound(ALL(B), A[i]) - B.begin() + 1;
        ans[i] =  i - bit.get(idx);
        bit.update(idx, 1);
    }
    return ans;
}
 
struct SegmentTree{
    int n, h;
    array<int, BLOCK * 2 + 2> t, d;

    SegmentTree(int _n){
        n = _n;
        h = logOf(n);
        for(int i = 1; i <= n * 2 + 1; ++i) t[i] = d[i] = 0;
    }

    void build_tree(array<int, BLOCK + 1> b){
        for(int i = 1; i<=n*2+1; ++i) t[i] = d[i] = 0;;
        for(int i = 0; i < n; ++i) t[n + 1 + i] = b[i];
        for(int i = n; i>=1; --i) t[i] = max(t[i*2], t[i*2+1]);
    }

    void apply(int p, int value) {
        t[p] += value;
        if (p < n) d[p] += value;
    }

    void build(int p) {
        while (p > 1) p >>= 1, t[p] = max(t[p<<1], t[p<<1|1]) + d[p];
    }

    void push(int p) {
      for (int s = h; s > 0; --s) {
        int i = p >> s;
        if (d[i] != 0) {
          apply(i<<1, d[i]);
          apply(i<<1|1, d[i]);
          d[i] = 0;
        }
      }
    }

    void update(int l, int r, int value) {
        l++; r++;
      l += n, r += n+1;
      int l0 = l, r0 = r;
      for (; l < r; l >>= 1, r >>= 1) {
        if (l&1) apply(l++, value);
        if (r&1) apply(--r, value);
      }
      build(l0);
      build(r0 - 1);
    }

    int get() {
        int l = 1, r = n;
      l += n, r += n+1;
      push(l);
      push(r - 1);
      int res = -INF;
      for (; l < r; l >>= 1, r >>= 1) {
        if (l&1) res = max(res, t[l++]);
        if (r&1) res = max(t[--r], res);
      }
      return res;
    }
};
 
 
vector<int> countScans(vector<int> a,vector<int> X,vector<int> V){
    int n = a.size(), q = X.size();
 
    int b_n = di(n, BLOCK);
    vector<vector<pair<int, int>>> stair(b_n);
    vector<SegmentTree> sigma;
    vector<array<int, BLOCK + 1>> val(b_n), pref(b_n);
    vector<int> cringe = get_inverse(a);
    for(int i = 0; i < n; ++i){
        stair[i / BLOCK].push_back({a[i],i});
    }
    for(int i = 0; i < b_n; ++i) sort(ALL(stair[i]));
 
    for(int i = 0; i < b_n; ++i){
        sigma.push_back(SegmentTree(stair[i].size()));
        for(int j = 0; j <= BLOCK; ++j) val[i][j] = pref[i][j] = 0;
        for(int k = 0; k < stair[i].size(); ++k){
            int cur = cringe[stair[i][k].second];
            sigma[i].update(k, k, cur);
            val[i][k] = cur;
        }
    }
 
 
    vector<int> answer(q);
 
    for(int cur_query = 0; cur_query < q; ++cur_query){
 
        // cout << "Query: " << cur_query << endl;
        int u = X[cur_query], v = V[cur_query];
 
        int cur_b = u / BLOCK;
        for(int i = cur_b + 1; i < b_n; ++i){
            int idx1 = lower_bound(ALL(stair[i]), make_pair(a[u], -1)) - stair[i].begin() - 1;
            int idx2 = lower_bound(ALL(stair[i]), make_pair(v, -1)) - stair[i].begin() - 1;
            if (idx1 != idx2){
                if (idx1 < idx2) sigma[i].update(idx1 + 1, idx2, 1);
                else sigma[i].update(idx2 + 1, idx1, -1);
                pref[i][idx1 + 1]++;
                pref[i][idx2 + 1]--;
            }
        }
        int idx = lower_bound(ALL(stair[cur_b]), make_pair(a[u], u)) - stair[cur_b].begin();
        array<int, BLOCK + 1> cur_sigma = val[cur_b];
        for(int j = 1; j <= BLOCK; ++j) pref[cur_b][j] += pref[cur_b][j-1];
        for(int j = 0; j <= BLOCK; ++j){
            cur_sigma[j] += pref[cur_b][j];
            pref[cur_b][j] = 0;
        }
 
 
        a[u] = v;
        stair[cur_b][idx] = make_pair(a[u], u);
 
 
        while (idx + 1 < stair[cur_b].size() && stair[cur_b][idx] > stair[cur_b][idx + 1]){
            if (stair[cur_b][idx].second < stair[cur_b][idx + 1].second) cur_sigma[idx + 1]++;
            swap(stair[cur_b][idx], stair[cur_b][idx + 1]);
            swap(cur_sigma[idx], cur_sigma[idx + 1]);
            idx++;
        }
        while (idx > 0 && stair[cur_b][idx - 1] > stair[cur_b][idx]){
            if (stair[cur_b][idx].second < stair[cur_b][idx - 1].second) cur_sigma[idx - 1]--;
            swap(stair[cur_b][idx], stair[cur_b][idx - 1]);
            swap(cur_sigma[idx], cur_sigma[idx - 1]);
            idx--;
        }
        cur_sigma[idx] = 0;
        for(int j = 0; j < cur_b; ++j){
            int _idx = upper_bound(ALL(stair[j]), stair[cur_b][idx]) - stair[j].begin();
            cur_sigma[idx] += stair[j].size() - _idx;
        }
        for(int j = idx + 1; j < stair[cur_b].size(); ++j) if (stair[cur_b][j].second < stair[cur_b][idx].second)
            cur_sigma[idx]++;
        sigma[cur_b].build_tree(cur_sigma);
        val[cur_b] = cur_sigma;

 
        int ans = 0;
        for(int i = 0; i < b_n; ++i) maximize(ans, sigma[i].get());
        answer[cur_query] = ans;
 
        // for(int i = 0; i<b_n; ++i){
        //     vector<int> sig = sigma[i].get_tree();
        //     printArr(sig, " ", "");
        // }
        // cout << "\n";


        // if (cur_query % 10000 == 0) {
        //     cerr << "current query: " << cur_query << "\n"; 
        //     cerr.flush();
        // }
    }
    return answer;
}
 
 
// int main(void){
//     ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

//     clock_t start = clock();
 
//     int n, q; cin >> n >> q;
//     vector<int> a(n);
//     for(int i = 0; i<n; ++i) cin >> a[i];
 
//     vector<int> x(q), v(q);
//     for(int i = 0; i<q; ++i) cin >> x[i] >> v[i];
 
//     printArr(countScans(a, x, v));

//     cerr << "Time elapsed: " << clock() - start << "ms!\n";
 
//     return 0;
// }

Compilation message

bubblesort2.cpp: In function 'std::vector<int> countScans(std::vector<int>, std::vector<int>, std::vector<int>)':
bubblesort2.cpp:184:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  184 |         for(int k = 0; k < stair[i].size(); ++k){
      |                        ~~^~~~~~~~~~~~~~~~~
bubblesort2.cpp:223:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  223 |         while (idx + 1 < stair[cur_b].size() && stair[cur_b][idx] > stair[cur_b][idx + 1]){
      |                ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~
bubblesort2.cpp:240:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  240 |         for(int j = idx + 1; j < stair[cur_b].size(); ++j) if (stair[cur_b][j].second < stair[cur_b][idx].second)
      |                              ~~^~~~~~~~~~~~~~~~~~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 348 KB Output is correct
2 Correct 8 ms 348 KB Output is correct
3 Correct 27 ms 604 KB Output is correct
4 Correct 27 ms 460 KB Output is correct
5 Correct 25 ms 604 KB Output is correct
6 Correct 21 ms 604 KB Output is correct
7 Correct 28 ms 604 KB Output is correct
8 Correct 24 ms 600 KB Output is correct
9 Correct 25 ms 600 KB Output is correct
10 Correct 24 ms 604 KB Output is correct
11 Correct 24 ms 604 KB Output is correct
12 Correct 26 ms 600 KB Output is correct
13 Correct 24 ms 604 KB Output is correct
14 Correct 24 ms 604 KB Output is correct
15 Correct 24 ms 600 KB Output is correct
16 Correct 24 ms 652 KB Output is correct
17 Correct 24 ms 652 KB Output is correct
18 Correct 24 ms 600 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 348 KB Output is correct
2 Correct 8 ms 348 KB Output is correct
3 Correct 27 ms 604 KB Output is correct
4 Correct 27 ms 460 KB Output is correct
5 Correct 25 ms 604 KB Output is correct
6 Correct 21 ms 604 KB Output is correct
7 Correct 28 ms 604 KB Output is correct
8 Correct 24 ms 600 KB Output is correct
9 Correct 25 ms 600 KB Output is correct
10 Correct 24 ms 604 KB Output is correct
11 Correct 24 ms 604 KB Output is correct
12 Correct 26 ms 600 KB Output is correct
13 Correct 24 ms 604 KB Output is correct
14 Correct 24 ms 604 KB Output is correct
15 Correct 24 ms 600 KB Output is correct
16 Correct 24 ms 652 KB Output is correct
17 Correct 24 ms 652 KB Output is correct
18 Correct 24 ms 600 KB Output is correct
19 Correct 125 ms 1116 KB Output is correct
20 Correct 148 ms 1116 KB Output is correct
21 Correct 113 ms 1116 KB Output is correct
22 Correct 134 ms 1112 KB Output is correct
23 Correct 125 ms 1112 KB Output is correct
24 Correct 127 ms 1116 KB Output is correct
25 Correct 124 ms 1112 KB Output is correct
26 Correct 130 ms 1112 KB Output is correct
27 Correct 111 ms 1116 KB Output is correct
28 Correct 111 ms 1128 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 2196 KB Output is correct
2 Correct 480 ms 2996 KB Output is correct
3 Correct 936 ms 4240 KB Output is correct
4 Correct 957 ms 4232 KB Output is correct
5 Correct 980 ms 4244 KB Output is correct
6 Correct 998 ms 4232 KB Output is correct
7 Correct 904 ms 4244 KB Output is correct
8 Correct 979 ms 4240 KB Output is correct
9 Correct 900 ms 4244 KB Output is correct
10 Correct 625 ms 4240 KB Output is correct
11 Correct 604 ms 4244 KB Output is correct
12 Correct 630 ms 4244 KB Output is correct
13 Correct 606 ms 4240 KB Output is correct
14 Correct 623 ms 4240 KB Output is correct
15 Correct 610 ms 4240 KB Output is correct
16 Correct 565 ms 4244 KB Output is correct
17 Correct 563 ms 4424 KB Output is correct
18 Correct 617 ms 4244 KB Output is correct

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 348 KB Output is correct
2 Correct 8 ms 348 KB Output is correct
3 Correct 27 ms 604 KB Output is correct
4 Correct 27 ms 460 KB Output is correct
5 Correct 25 ms 604 KB Output is correct
6 Correct 21 ms 604 KB Output is correct
7 Correct 28 ms 604 KB Output is correct
8 Correct 24 ms 600 KB Output is correct
9 Correct 25 ms 600 KB Output is correct
10 Correct 24 ms 604 KB Output is correct
11 Correct 24 ms 604 KB Output is correct
12 Correct 26 ms 600 KB Output is correct
13 Correct 24 ms 604 KB Output is correct
14 Correct 24 ms 604 KB Output is correct
15 Correct 24 ms 600 KB Output is correct
16 Correct 24 ms 652 KB Output is correct
17 Correct 24 ms 652 KB Output is correct
18 Correct 24 ms 600 KB Output is correct
19 Correct 125 ms 1116 KB Output is correct
20 Correct 148 ms 1116 KB Output is correct
21 Correct 113 ms 1116 KB Output is correct
22 Correct 134 ms 1112 KB Output is correct
23 Correct 125 ms 1112 KB Output is correct
24 Correct 127 ms 1116 KB Output is correct
25 Correct 124 ms 1112 KB Output is correct
26 Correct 130 ms 1112 KB Output is correct
27 Correct 111 ms 1116 KB Output is correct
28 Correct 111 ms 1128 KB Output is correct
29 Correct 44 ms 2196 KB Output is correct
30 Correct 480 ms 2996 KB Output is correct
31 Correct 936 ms 4240 KB Output is correct
32 Correct 957 ms 4232 KB Output is correct
33 Correct 980 ms 4244 KB Output is correct
34 Correct 998 ms 4232 KB Output is correct
35 Correct 904 ms 4244 KB Output is correct
36 Correct 979 ms 4240 KB Output is correct
37 Correct 900 ms 4244 KB Output is correct
38 Correct 625 ms 4240 KB Output is correct
39 Correct 604 ms 4244 KB Output is correct
40 Correct 630 ms 4244 KB Output is correct
41 Correct 606 ms 4240 KB Output is correct
42 Correct 623 ms 4240 KB Output is correct
43 Correct 610 ms 4240 KB Output is correct
44 Correct 565 ms 4244 KB Output is correct
45 Correct 563 ms 4424 KB Output is correct
46 Correct 617 ms 4244 KB Output is correct
47 Correct 4322 ms 12064 KB Output is correct
48 Execution timed out 9045 ms 36240 KB Time limit exceeded
49 Halted 0 ms 0 KB -