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Submission #876506

# Submission time Handle Problem Language Result Execution time Memory
876506 2023-11-21T20:54:28 Z danikoynov Fish 2 (JOI22_fish2) C++14
31 / 100
 2809 ms 90020 KB 
#include<bits/stdc++.h>
#define endl '\n'

using namespace std;

typedef long long ll;

const int maxn = 1e5 + 10;


int n, q;
ll a[maxn], pref[maxn];
void input()
{
    cin >> n;
    for (int i = 1; i <= n; i ++)
        cin >> a[i];
    cin >> q;
    a[0] = 1e9 + 10;
    a[n + 1] = 1e9 + 10;

}

struct interval
{
    int left, right, pivot;

    interval(int _left = 0, int _right = 0, int _pivot = 0)
    {
        left = _left;
        right = _right;
        pivot = _pivot;
    }
    bool operator < (const interval &it) const
    {
        if (left != it.left)
            return left < it.left;
        if (right != it.right)
            return right < it.right;
        ///assert(pivot != it.pivot);
        return pivot < it.pivot;
    }
};

set < interval > ranges;
set < interval > act[4 * maxn];

void add_range(int root, int left, int right, int qleft, int qright, interval cur)
{
    if (left > qright || right < qleft)
        return;

    if (left >= qleft && right <= qright)
    {
        //cout << "ROOT " << root << endl;
        act[root].insert(cur);

        return;
    }

    int mid = (left + right) / 2;
    add_range(root * 2, left, mid, qleft, qright, cur);
    add_range(root * 2 + 1, mid + 1, right, qleft, qright, cur);
}

void rem_range(int root, int left, int right, int qleft, int qright, interval cur)
{
    if (left > qright || right < qleft)
        return;

    if (left >= qleft && right <= qright)
    {
        /**if (act[root].back().left != cur.left || act[root].back().right != cur.right ||
                act[root].back().pivot != cur.pivot)
        {
            cout << "Alert!!!" << endl;
            cout << act[root].back().left <<  " : " << act[root].back().right << " : " << act[root].back().pivot << endl;
            exit(0);
        }*/
        //if (act[root].size() == 0)
          //  cout << "FUCK " << root << endl;
        assert(act[root].size() > 0);
        act[root].erase(cur);
        return;
    }

    int mid = (left + right) / 2;
    rem_range(root * 2, left, mid, qleft, qright, cur);
    rem_range(root * 2 + 1, mid + 1, right, qleft, qright, cur);
}

bool cmp_interval(const interval &it1, const interval &it2)
{
    if ((it1.right - it1.left) != (it2.right - it2.left))
        return (it1.right - it1.left) < (it2.right - it2.left);
    if (it1.left != it2.left)
        return it1.left < it2.left;

    /**if (it1.pivot == it2.pivot)
    {
        cout << "here" << endl;
        cout << it1.left << " " << it1.right << " " << it1.pivot << endl;
        cout << it2.left << " " << it2.right << " " << it2.pivot << endl;
        cout << "FUCK" << endl;
        exit(0);
    }*/
    return (it1.pivot < it2.pivot);
}

void get_ranges()
{
    ranges.clear();
    stack < int > st;
    st.push(0);
    vector < interval > vec;
    for (int i = 1; i <= n; i ++)
    {
        while(!st.empty() && a[st.top()] < a[i])
            st.pop();

        ranges.insert(interval(st.top(), i, i));
        vec.push_back(interval(st.top(), i, i));


        st.push(i);
    }

    while(!st.empty())
        st.pop();
    st.push(n + 1);
    for (int i = n; i > 0; i --)
    {
        while(!st.empty() && a[st.top()] < a[i])
            st.pop();

        ranges.insert(interval(i, st.top(), i));
        vec.push_back(interval(i, st.top(), i));

        st.push(i);
    }

    sort(vec.begin(), vec.end(), cmp_interval);
    ///reverse(vec.begin(), vec.end());
    for (interval cur : vec)
    {
        //cout << "added " << cur.left << " " << cur.right << endl;
        add_range(1, 0, n + 1, cur.left, cur.right, cur);
    }
}

int b[maxn];

struct node
{
    int cnt, mx;

    node(int _cnt = 0, int _mx = 1e9 + 10)
    {
        cnt = _cnt;
        mx = _mx;
    }
};

node tree[4 * maxn];
int lazy[4 * maxn];

node merge_node(node lf, node rf)
{
    if (lf.cnt == -1 || rf.mx < lf.mx)
        return rf;
    if (rf.cnt == -1 || lf.mx < rf.mx)
        return lf;

    return node(lf.cnt + rf.cnt, lf.mx);
}

void push_lazy(int root, int left, int right)
{
    tree[root].mx += lazy[root];
    if (left != right)
    {
        lazy[root * 2] += lazy[root];
        lazy[root * 2 + 1] += lazy[root];
    }
    lazy[root] = 0;
}

void build_tree(int root, int left, int right)
{
    lazy[root] = 0;
    if (left == right)
    {
        tree[root].mx = b[left];
        tree[root].cnt = 1;
        return;
    }

    int mid = (left + right) / 2;
    build_tree(root * 2, left, mid);
    build_tree(root * 2 + 1, mid + 1, right);

    tree[root] = merge_node(tree[root * 2], tree[root * 2 + 1]);
}

void update_range(int root, int left, int right, int qleft, int qright, int val)
{
    push_lazy(root, left, right);
    if (left > qright || right < qleft)
        return;

    if (left >= qleft && right <= qright)
    {
        lazy[root] = val;
        push_lazy(root, left, right);
        return;
    }

    int mid = (left + right) / 2;
    update_range(root * 2, left, mid, qleft, qright, val);
    update_range(root * 2 + 1, mid + 1, right, qleft, qright, val);

    tree[root] = merge_node(tree[root * 2], tree[root * 2 + 1]);
}
node query(int root, int left, int right, int qleft, int qright)
{
    push_lazy(root, left, right);
    if (left > qright || right < qleft)
        return node(-1, 1e9 + 10);

    if (left >= qleft && right <= qright)
        return tree[root];

    int mid = (left + right) / 2;

    return merge_node(query(root * 2, left, mid, qleft, qright),
            query(root * 2 + 1, mid + 1, right, qleft, qright));
}

ll values[maxn];

struct segment_tree
{
    ll tree[4 * maxn], lazy[4 * maxn];


    void build_tree(int root, int left, int right)
    {
        lazy[root] = 0;
        if (left == right)
        {
            tree[root] = values[left];
            return;
        }

        int mid = (left + right) / 2;
        build_tree(root * 2, left, mid);
        build_tree(root * 2 + 1, mid + 1, right);

        tree[root] = max(tree[root * 2], tree[root * 2 + 1]);
    }

    void push_lazy(int root, int left, int right)
    {
        tree[root] += lazy[root];
        if (left != right)
        {
            lazy[root * 2] += lazy[root];
            lazy[root * 2 + 1] += lazy[root];
        }

        lazy[root] = 0;
    }

    void update_range(int root, int left, int right, int qleft, int qright, ll val)
    {
        push_lazy(root, left, right);
        if (left > qright || right < qleft)
            return;

        if (left >= qleft && right <= qright)
        {
            lazy[root] += val;
            push_lazy(root, left, right);
            return;
        }

        int mid = (left + right) / 2;
        update_range(root * 2, left, mid, qleft, qright, val);
        update_range(root * 2 + 1, mid + 1, right, qleft, qright, val);

        tree[root] = max(tree[root * 2], tree[root * 2 + 1]);
    }

    ll walk_left(int root, int left, int right, int qleft, int qright, ll val)
    {
        push_lazy(root, left, right);
        if (left > qright || right < qleft || tree[root] <= val)
            return n + 1;

        if (left == right)
            return left;

        int mid = (left + right) / 2;
        if (left >= qleft && right <= qright)
        {
            push_lazy(root * 2, left, mid);
            push_lazy(root * 2 + 1, mid + 1, right);
            if (tree[root * 2] > val)
                return walk_left(root * 2, left, mid, qleft, qright, val);
            return walk_left(root * 2 + 1, mid + 1, right, qleft, qright, val);
        }

        return min(walk_left(root * 2, left, mid, qleft, qright, val),
                walk_left(root * 2 + 1, mid + 1, right, qleft, qright, val));
    }

    ll walk_right(int root, int left, int right, int qleft, int qright, ll val)
    {
        push_lazy(root, left, right);
        if (left > qright || right < qleft || tree[root] <= val)
            return 0;

        if (left == right)
            return left;

        int mid = (left + right) / 2;
        if (left >= qleft && right <= qright)
        {
            push_lazy(root * 2, left, mid);
            push_lazy(root * 2 + 1, mid + 1, right);
            if (tree[root * 2 + 1] > val)
                    return walk_right(root * 2 + 1, mid + 1, right, qleft, qright, val);
            return walk_right(root * 2, left, mid, qleft, qright, val);
        }

        return max(walk_right(root * 2, left, mid, qleft, qright, val),
                walk_right(root * 2 + 1, mid + 1, right, qleft, qright, val));
    }
};

segment_tree left_tree, right_tree;

ll fen[maxn];

void update_fen(int pos, ll val)
{
    for (int i = pos; i <= n; i += (i & -i))
        fen[i] += val;
}

ll query_fen(int pos)
{
    ll s = 0;
    for (int i = pos; i > 0; i -= (i & -i))
        s += fen[i];
    return s;
}

ll range_sum(int left, int right)
{
    return query_fen(right) - query_fen(left - 1);
}

void solve_query(int left, int right)
{
    int lb = left_tree.walk_right(1, 1, n, left, right, - query_fen(left - 1));
    int rb = right_tree.walk_left(1, 1, n, left, right, query_fen(right));


    cout << query(1, 1, n, lb, rb).cnt << endl;
}

void restructure()
{
    ///cout << "-------------" << endl;

    build_tree(1, 1, n);
    for (interval cur : ranges)
    {
        ll mx = min(a[cur.left], a[cur.right]);
        if (range_sum(cur.left + 1, cur.right - 1) < mx)
        {
            update_range(1, 1, n, cur.left + 1, cur.right - 1, 1);
            ///cout << cur.left << " " << cur.right << endl;
            //for (int i = cur.left + 1; i < cur.right; i ++)
              //  b[i] ++;
        }
    }
}


    vector < interval > to_add;
void fix_point(int pos)
{

    vector < pair < int, int > > to_fix;
    int root = 1, left = 0, right = n + 1;
    vector < interval > to_rem;
    while(true)
    {
        for (interval cur : act[root])
        {
            to_rem.push_back(cur);
            if (cur.pivot == cur.left)
                to_fix.push_back({cur.pivot, 0});
            else
                to_fix.push_back({cur.pivot, 1});
        }
        if (left == right)
            break;
        int mid = (left + right) / 2;
        if (pos <= mid)
            right = mid, root *= 2;
        else
            left = mid + 1, root = (root * 2) + 1;
    }

    sort(to_rem.begin(), to_rem.end(), cmp_interval);
    reverse(to_rem.begin(), to_rem.end());
    for (interval cur : to_rem)
    {
        //cout << "remove " << cur.left << " " << cur.right << endl;
       // if (ranges.find(cur) == ranges.end())
          //  cout << "yep" << endl;
        if (range_sum(cur.left + 1, cur.right - 1) < min(a[cur.left], a[cur.right]))
            update_range(1, 1, n, cur.left + 1, cur.right - 1, -1);
        rem_range(1, 0, n + 1, cur.left, cur.right, cur);
    }



    to_add.clear();
    for (pair < int, int > cur : to_fix)
    {
        if (cur.second == 0)
        {
            int df = cur.first + 1;
            while(a[df] < a[cur.first])
                df ++;
            to_add.push_back(interval(cur.first, df, cur.first));
        }
        else
        {
            int df = cur.first - 1;
            while(a[df] < a[cur.first])
                df --;
            to_add.push_back(interval(df, cur.first, cur.first));
        }
    }


}

void addition()
{
      sort(to_add.begin(), to_add.end(), cmp_interval);
    ///reverse(to_add.begin(), to_add.end());
    for (interval cur : to_add)
    {

        if (range_sum(cur.left + 1, cur.right - 1) < min(a[cur.left], a[cur.right]))
            update_range(1, 1, n, cur.left + 1, cur.right - 1, 1);
        ///cout << "added " << cur.left << " : " << cur.right << endl;
        add_range(1, 0, n + 1, cur.left, cur.right, cur);
    }
}
void simulate()
{

    for (int i = 1; i <= n; i ++)
        update_fen(i, a[i]);
    get_ranges();

    restructure();

    for (int i = 1; i <= n; i ++)
    {
        values[i] = a[i] - query_fen(i - 1);
    }
    left_tree.build_tree(1, 1, n);

    for (int i = 1; i <= n; i ++)
    {
        values[i] = a[i] + query_fen(i);
    }
    right_tree.build_tree(1, 1, n);
    for (int i = 1; i <= q; i ++)
    {
        int type;
        cin >> type;
        if (type == 1)
        {
            int idx;
            ll x;
            cin >> idx >> x;
                 fix_point(idx);
            update_fen(idx, x - a[idx]);
            left_tree.update_range(1, 1, n, idx + 1, n, - (x - a[idx]));
            left_tree.update_range(1, 1, n, idx, idx, (x - a[idx]));
            right_tree.update_range(1, 1, n, idx, n, (x - a[idx]));
            right_tree.update_range(1, 1, n, idx, idx, (x - a[idx]));
            a[idx] = x;
            addition();
        }
        else
        {
            int l, r;
            cin >> l >> r;
            solve_query(l, r);
        }
    }
}
void solve()
{
    input();
    simulate();
}

void speed()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
}
int main()
{
    //freopen("test.txt", "r", stdin);
    speed();
    solve();
    return 0;
}
/*
12
32 32 4 1 1 1 1 4 4 16 32 128
1
2 8 10


*/

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 35160 KB Output is correct
2 Correct 6 ms 35160 KB Output is correct
3 Correct 6 ms 35160 KB Output is correct
4 Correct 6 ms 35164 KB Output is correct
5 Incorrect 13 ms 35420 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 35164 KB Output is correct
2 Correct 256 ms 88964 KB Output is correct
3 Correct 218 ms 85064 KB Output is correct
4 Correct 243 ms 88600 KB Output is correct
5 Correct 223 ms 85436 KB Output is correct
6 Correct 192 ms 81112 KB Output is correct
7 Correct 190 ms 79732 KB Output is correct
8 Correct 198 ms 81188 KB Output is correct
9 Correct 189 ms 79560 KB Output is correct
10 Correct 235 ms 89664 KB Output is correct
11 Correct 204 ms 83392 KB Output is correct
12 Correct 190 ms 79556 KB Output is correct
13 Correct 188 ms 79624 KB Output is correct
14 Correct 184 ms 79244 KB Output is correct
15 Correct 217 ms 79440 KB Output is correct

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 35160 KB Output is correct
2 Correct 6 ms 35160 KB Output is correct
3 Correct 6 ms 35160 KB Output is correct
4 Correct 6 ms 35164 KB Output is correct
5 Incorrect 13 ms 35420 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 35164 KB Output is correct
2 Correct 256 ms 88964 KB Output is correct
3 Correct 218 ms 85064 KB Output is correct
4 Correct 243 ms 88600 KB Output is correct
5 Correct 223 ms 85436 KB Output is correct
6 Correct 192 ms 81112 KB Output is correct
7 Correct 190 ms 79732 KB Output is correct
8 Correct 198 ms 81188 KB Output is correct
9 Correct 189 ms 79560 KB Output is correct
10 Correct 235 ms 89664 KB Output is correct
11 Correct 204 ms 83392 KB Output is correct
12 Correct 190 ms 79556 KB Output is correct
13 Correct 188 ms 79624 KB Output is correct
14 Correct 184 ms 79244 KB Output is correct
15 Correct 217 ms 79440 KB Output is correct
16 Correct 6 ms 35164 KB Output is correct
17 Correct 370 ms 85544 KB Output is correct
18 Correct 369 ms 88512 KB Output is correct
19 Correct 366 ms 85488 KB Output is correct
20 Correct 376 ms 85424 KB Output is correct
21 Correct 366 ms 85388 KB Output is correct
22 Correct 363 ms 88516 KB Output is correct
23 Correct 365 ms 85268 KB Output is correct
24 Correct 378 ms 85444 KB Output is correct
25 Correct 365 ms 85248 KB Output is correct
26 Correct 380 ms 85416 KB Output is correct
27 Correct 338 ms 81500 KB Output is correct
28 Correct 331 ms 81552 KB Output is correct
29 Correct 322 ms 81512 KB Output is correct
30 Correct 358 ms 79812 KB Output is correct
31 Correct 361 ms 79804 KB Output is correct
32 Correct 392 ms 82932 KB Output is correct
33 Correct 397 ms 90020 KB Output is correct
34 Correct 392 ms 82760 KB Output is correct
35 Correct 365 ms 82372 KB Output is correct
36 Correct 378 ms 89932 KB Output is correct
37 Correct 317 ms 80324 KB Output is correct
38 Correct 314 ms 79812 KB Output is correct
39 Correct 310 ms 79684 KB Output is correct
40 Correct 318 ms 79840 KB Output is correct

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 35164 KB Output is correct
2 Correct 256 ms 88964 KB Output is correct
3 Correct 218 ms 85064 KB Output is correct
4 Correct 243 ms 88600 KB Output is correct
5 Correct 223 ms 85436 KB Output is correct
6 Correct 192 ms 81112 KB Output is correct
7 Correct 190 ms 79732 KB Output is correct
8 Correct 198 ms 81188 KB Output is correct
9 Correct 189 ms 79560 KB Output is correct
10 Correct 235 ms 89664 KB Output is correct
11 Correct 204 ms 83392 KB Output is correct
12 Correct 190 ms 79556 KB Output is correct
13 Correct 188 ms 79624 KB Output is correct
14 Correct 184 ms 79244 KB Output is correct
15 Correct 217 ms 79440 KB Output is correct
16 Correct 6 ms 35164 KB Output is correct
17 Incorrect 2809 ms 89752 KB Output isn't correct
18 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 35160 KB Output is correct
2 Correct 6 ms 35160 KB Output is correct
3 Correct 6 ms 35160 KB Output is correct
4 Correct 6 ms 35164 KB Output is correct
5 Incorrect 13 ms 35420 KB Output isn't correct
6 Halted 0 ms 0 KB -