Submission #1091817

#	Time	Username	Problem	Language	Result	Execution time	Memory
1091817		steveonalex	Bubble Sort 2 (JOI18_bubblesort2)	C++17	60 / 100	9060 ms	47472 KiB

bubblesort2

#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);
      return t[1];
    }
};
 
 
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 (stderr)

bubblesort2.cpp: In function 'std::vector<int> countScans(std::vector<int>, std::vector<int>, std::vector<int>)':
bubblesort2.cpp:179:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  179 |         for(int k = 0; k < stair[i].size(); ++k){
      |                        ~~^~~~~~~~~~~~~~~~~
bubblesort2.cpp:218:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  218 |         while (idx + 1 < stair[cur_b].size() && stair[cur_b][idx] > stair[cur_b][idx + 1]){
      |                ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~
bubblesort2.cpp:235:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  235 |         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 / 17
• Subtask 2: 21 / 21
• Subtask 3: 22 / 22
• Subtask 4: 0 / 40