Submission #256161

#	Time	Username	Problem	Language	Result	Execution time	Memory
256161		IgorI	Bubble Sort 2 (JOI18_bubblesort2)	C++17	60 / 100	9078 ms	11168 KiB

bubblesort2

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<vector<int> > vvi;
typedef vector<ll> vll;

#define forn(i, n) for (int (i) = 0; (i) != (n); (i)++)
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()
#define popcount(x) __builtin_popcount(x)
#define popcountll(x) __builtin_popcountll(x)
#define fi first
#define se second
#define re return
#define pb push_back
#define uniq(x) sort(all(x)); (x).resize(unique(all(x)) - (x).begin())

#ifdef LOCAL
#define dbg(x) cerr << __LINE__ << " " << #x << " " << x << endl
#define ln cerr << __LINE__ << endl
#else
#define dbg(x) void(0)
#define ln void(0)
#endif // LOCAL

const int INF = 1e9 + 7;
const int K = 250;

struct Element{
    int x;
    int pos_order;
    int sp;
};

struct SegTree{
    vector<int> tree;
    vector<int> push;
    SegTree()
    {
        tree.resize(4 * K);
        push.resize(4 * K);
    }
    void Push(int V)
    {
        tree[2 * V + 1] += push[V];
        push[2 * V + 1] += push[V];
        tree[2 * V + 2] += push[V];
        push[2 * V + 2] += push[V];
        push[V] = 0;
    }
    void __Add(int l, int r, int x, int L, int R, int V)
    {
        if (l <= L && R <= r)
        {
            tree[V] += x;
            push[V] += x;
            return;
        }
        if (r <= L || R <= l)
        {
            return;
        }
        int M = (L + R) / 2;
        Push(V);
        __Add(l, r, x, L, M, 2 * V + 1);
        __Add(l, r, x, M, R, 2 * V + 2);
        tree[V] = max(tree[2 * V + 1], tree[2 * V + 2]);
    }
    int Add(int l, int r, int x)
    {
        __Add(l, r, x, 0, K, 0);
    }
    int __Get(int l, int r, int L, int R, int V)
    {
        if (l <= L && R <= r)
        {
            return tree[V];
        }
        if (r <= L || R <= l)
        {
            return 0;
        }
        int M = (L + R) / 2;
        Push(V);
        return max(__Get(l, r, L, M, 2 * V + 1), __Get(l, r, M, R, 2 * V + 2));
    }
    int Get(int l, int r)
    {
        return __Get(l, r, 0, K, 0);
    }
    void build(int L, int R, int V, vector<Element> &val)
    {
        if (L + 1 == R)
        {
            tree[V] = val[L].sp;
            push[V] = 0;
            return;
        }
        int M = (L + R) / 2;
        build(L, M, 2 * V + 1, val);
        build(M, R, 2 * V + 2, val);
        push[V] = 0;
        tree[V] = max(tree[2 * V + 1], tree[2 * V + 2]);
    }
};

bool order(Element a, Element b)
{
    return a.pos_order < b.pos_order;
}

bool sorted(Element a, Element b)
{
    return a.x < b.x;
}

struct Block{
    SegTree d;
    vector<Element> a;
    Block()
    {
        a.resize(K);
        for (int i = 0; i < K; i++)
        {
            a[i].x = INF;
            a[i].pos_order = i;
        }
    }
    int cntmore(int x)
    {
        int L = -1, R = a.size();
        while (L + 1 < R)
        {
            int M = (L + R) / 2;
            if (a[M].x > x)
                R = M;
            else
                L = M;
        }
        return K - R;
    }
    void change(int pos_in_block, int initial, int A)
    {
        for (int i = 0; i < K; i++)
        {
            a[i].sp = d.Get(i, i + 1);
        }
        sort(all(a), order);
        int Z = a[pos_in_block].x;
        a[pos_in_block].x = A;
        for (int i = 0; i < pos_in_block; i++)
        {
            if (a[i].x > a[pos_in_block].x) initial++;
        }
        a[pos_in_block].sp = initial;
        for (int i = pos_in_block + 1; i < K; i++)
        {
            a[i].sp -= Z > a[i].x;
            a[i].sp += A > a[i].x;
        }
        sort(all(a), sorted);
        d.build(0, K, 0, a);
    }
    void query(int x, int val)
    {
        int L = -1, R = K;
        while (L + 1 < R)
        {
            int M = (L + R) / 2;
            if (a[M].x < x)
                L = M;
            else
                R = M;
        }
        d.Add(0, L + 1, val);
    }
};

vi countScans(vi a, vi x, vi v)
{
    int n = a.size(), q = x.size();
    vi ans(q);
    vector<Block> data(n / K + 1);
    for (int i = 0; i < n; i++)
    {
        int bl = i / K;
        int ps = i % K;
        int initial = 0;
        for (int j = 0; j < bl; j++) initial += data[j].cntmore(a[i]);
        data[bl].change(ps, initial, a[i]);
    }
    for (int i = 0; i < q; i++)
    {
        int bl = x[i] / K;
        int ps = x[i] % K;
        int initial = 0;
        for (int j = 0; j < bl; j++) initial += data[j].cntmore(v[i]);
        data[bl].change(ps, initial, v[i]);
        int fr = a[x[i]];
        int to = v[i];
        a[x[i]] = v[i];
        for (int j = bl + 1; j < n / K + 1; j++) data[j].query(fr, -1);
        for (int j = bl + 1; j < n / K + 1; j++) data[j].query(to, 1);
        int answer = 0;
        for (int j = 0; j < n / K + 1; j++) answer = max(answer, data[j].d.Get(0, K));
        ans[i] = answer;
        #ifdef LOCAL
        cout << "after i = " << i << endl;
        for (int j = 0; j < n / K + 1; j++)
        {
            cout << j << ": " << endl;
            for (int i = 0; i < K; i++) cout << data[j].a[i].x << " ";
            cout << endl;
            for (int i = 0; i < K; i++) cout << data[j].d.Get(i, i + 1) << " ";
            cout << endl;
        }
        #endif // LOCAL
    }
    return ans;
}

#ifdef LOCAL
signed main()
{
    int n, q;
    cin >> n >> q;
    vi a(n), x(q), v(q);
    forn(i, n) cin >> a[i];
    forn(i, q) cin >> x[i] >> v[i];
    vi ans = countScans(a, x, v);
    forn(i, q) cout << ans[i] << "\n";
}
#endif // LOCAL

/*
10 10
1 2 3 4 5 1 2 3 4 5
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
*/

Compilation message (stderr)

bubblesort2.cpp: In member function 'int SegTree::Add(int, int, int)':
bubblesort2.cpp:77:5: warning: no return statement in function returning non-void [-Wreturn-type]
     }
     ^

• Subtask 1: 17 / 17
• Subtask 2: 21 / 21
• Subtask 3: 22 / 22
• Subtask 4: 0 / 40