oj.uz

Submission #516904

# Submission time Handle Problem Language Result Execution time Memory
516904 2022-01-22T08:12:39 Z blue Street Lamps (APIO19_street_lamps) C++17
100 / 100
 1403 ms 406352 KB 
#include <iostream>
#include <vector>
#include <string>
#include <algorithm>
#include <set>
using namespace std;

using vi = vector<int>;
using vvi = vector<vi>;
using pii = pair<int, int>;
using vpii = vector<pii>;

const int mx = 300'000;

int n, q;
int s[1+mx];

set<int> offpoints;




int Z = (1<<19);

struct stamp_tree
{
    vi stamp = vi(Z<<1, 0);

    void set(int l, int r, int t)
    {
        l += Z;
        r += Z+1;
        while(l < r)
        {
            if(l & 1) stamp[l++] = t;
            if(r & 1) stamp[--r] = t;
            l >>= 1;
            r >>= 1;
        }
    }

    int query(int i)
    {
        int ans = 0;
        for(i += Z; i >= 1; i >>= 1) ans = max(ans, stamp[i]);
        return ans;
    }
};

stamp_tree stt;










// vvi total_time = vvi(1+mx, vi(1+mx, 0));

struct col_tree
{
    int l;
    int r;

    int lp = 0;

    col_tree* left = NULL;
    col_tree* right = NULL;

    col_tree()
    {
        ;
    }

    col_tree(int L, int R)
    {
        l = L;
        r = R;
    }

    void add(int L, int R, int V)
    {
        // cerr << "col add\n";
        if(R < l || r < L) return;
        else if(L <= l && r <= R)
        {
            lp += V;
        }
        else
        {
            if(L <= (l+r)/2)
            {
                if(left == NULL) left = new col_tree(l, (l+r)/2);
                left->add(L, R, V);
            }

            if(R >= (l+r)/2+1)
            {
                if(right == NULL) right = new col_tree((l+r)/2+1, r);
                right->add(L, R, V);
            }
        }
    }

    int query(int I)
    {
        // cerr << "col query\n";
        if(l == r) return lp;
        else if(I <= (l+r)/2)
        {
            if(left == NULL) return lp;
            else return lp + left->query(I);
        }
        else
        {
            if(right == NULL) return lp;
            else return lp + right->query(I);
        }
    }
};







struct row_tree
{
    int l;
    int r;

    col_tree lp;

    row_tree* left = NULL;
    row_tree* right = NULL;

    row_tree()
    {
        ;
    }

    row_tree(int L, int R)
    {
        l = L;
        r = R;
        lp = col_tree(1, n);
    }

    void add(int L, int R, int X, int Y, int V)
    {
        if(R < l || r < L) return;
        else if(L <= l && r <= R) lp.add(X, Y, V);
        else
        {
            if(L <= (l+r)/2)
            {
                if(left == NULL) left = new row_tree(l, (l+r)/2);
                left->add(L, R, X, Y, V);
            }

            if(R > (l+r)/2)
            {
                if(right == NULL) right = new row_tree((l+r)/2+1, r);
                right->add(L, R, X, Y, V);
            }
        }
    }

    int query(int I, int J)
    {
        if(l == r) return lp.query(J);
        else if(I <= (l+r)/2)
        {
            if(left == NULL) return lp.query(J);
            else return left->query(I, J) + lp.query(J);
        }
        else
        {
            if(right == NULL) return lp.query(J);
            else return right->query(I, J) + lp.query(J);
        }
    }
};






// col_tree ST[1+mx];
row_tree ST;






int get_value(int l, int r)
{
 // return ST[l].query(r);
    return ST.query(l, r);
}

void range_add(int l, int r, int x, int y, int v)
{
    // for(int i = l; i <= r; i++)
    //     ST[i].add(x, y, v);
    ST.add(l, r, x, y, v);
}














void add_triangle(int l, int r, int t)
{
    stt.set(l, r, t);
}

void remove_triangle(int l, int r, int t)
{
    int tt = stt.query(l);
    range_add(l, r, l, r, t - tt);
}

void switch_on(int i, int t)
{
    offpoints.erase(i);

    auto it = offpoints.lower_bound(i);
    int r = *it;
    it--;
    int l = *it;

    remove_triangle(l+1, i-1, t);
    remove_triangle(i+1, r-1, t);
    add_triangle(l+1, r-1, t);
}

void switch_off(int i, int t)
{
    auto it = offpoints.lower_bound(i);
    int r = *it;
    it--;
    int l = *it;

    offpoints.insert(i);

    remove_triangle(l+1, r-1, t);
    add_triangle(l+1, i-1, t);
    add_triangle(i+1, r-1, t);
}

int query(int l, int r, int t)
{
    int y = *offpoints.lower_bound(l);
    if(y > r) return get_value(l, r) + t - stt.query(l);
    else return get_value(l, r);
}
























int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    cin >> n >> q;

    string t;
    cin >> t;

    for(int i = 0; i < n; i++)
        s[i+1] = (t[i] == '1');

    for(int i = 1; i <= n; i++)
        if(s[i] == 0)
            offpoints.insert(i);

    offpoints.insert(0);
    offpoints.insert(n+1);

    // for(int i = 1; i <= n; i++) ST[i] = col_tree(1, n);
    ST = row_tree(1, n);


    for(int j = 1; j <= q; j++)
    {
        string qr;
        cin >> qr;
        if(qr == "toggle")
        {
            int i;
            cin >> i;

            if(s[i] == 0)
            {
                s[i] = 1;
                switch_on(i, j);
            }
            else
            {
                s[i] = 0;
                switch_off(i, j);
            }
        }
        else
        {
            int a, b;
            cin >> a >> b;

            cout << query(a, b-1, j) << '\n';
        }
    }
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4428 KB Output is correct
2 Correct 2 ms 4428 KB Output is correct
3 Correct 2 ms 4428 KB Output is correct
4 Correct 2 ms 4428 KB Output is correct
5 Correct 2 ms 4428 KB Output is correct
6 Correct 2 ms 4428 KB Output is correct
7 Correct 2 ms 4428 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 166 ms 5572 KB Output is correct
2 Correct 206 ms 5944 KB Output is correct
3 Correct 387 ms 15364 KB Output is correct
4 Correct 828 ms 189452 KB Output is correct
5 Correct 1100 ms 343496 KB Output is correct
6 Correct 903 ms 211212 KB Output is correct
7 Correct 326 ms 20696 KB Output is correct
8 Correct 106 ms 7912 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5324 KB Output is correct
2 Correct 4 ms 5196 KB Output is correct
3 Correct 3 ms 5196 KB Output is correct
4 Correct 2 ms 4428 KB Output is correct
5 Correct 1403 ms 406352 KB Output is correct
6 Correct 1267 ms 393184 KB Output is correct
7 Correct 1022 ms 342424 KB Output is correct
8 Correct 108 ms 8088 KB Output is correct
9 Correct 76 ms 5224 KB Output is correct
10 Correct 85 ms 5344 KB Output is correct
11 Correct 86 ms 5432 KB Output is correct
12 Correct 295 ms 20812 KB Output is correct
13 Correct 104 ms 7896 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4428 KB Output is correct
2 Correct 3 ms 4684 KB Output is correct
3 Correct 3 ms 4812 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 303 ms 19804 KB Output is correct
6 Correct 651 ms 136868 KB Output is correct
7 Correct 850 ms 210440 KB Output is correct
8 Correct 1084 ms 280720 KB Output is correct
9 Correct 189 ms 5496 KB Output is correct
10 Correct 163 ms 4636 KB Output is correct
11 Correct 188 ms 5480 KB Output is correct
12 Correct 165 ms 4616 KB Output is correct
13 Correct 186 ms 5452 KB Output is correct
14 Correct 169 ms 4892 KB Output is correct
15 Correct 287 ms 20480 KB Output is correct
16 Correct 112 ms 7904 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4428 KB Output is correct
2 Correct 2 ms 4428 KB Output is correct
3 Correct 2 ms 4428 KB Output is correct
4 Correct 2 ms 4428 KB Output is correct
5 Correct 2 ms 4428 KB Output is correct
6 Correct 2 ms 4428 KB Output is correct
7 Correct 2 ms 4428 KB Output is correct
8 Correct 166 ms 5572 KB Output is correct
9 Correct 206 ms 5944 KB Output is correct
10 Correct 387 ms 15364 KB Output is correct
11 Correct 828 ms 189452 KB Output is correct
12 Correct 1100 ms 343496 KB Output is correct
13 Correct 903 ms 211212 KB Output is correct
14 Correct 326 ms 20696 KB Output is correct
15 Correct 106 ms 7912 KB Output is correct
16 Correct 4 ms 5324 KB Output is correct
17 Correct 4 ms 5196 KB Output is correct
18 Correct 3 ms 5196 KB Output is correct
19 Correct 2 ms 4428 KB Output is correct
20 Correct 1403 ms 406352 KB Output is correct
21 Correct 1267 ms 393184 KB Output is correct
22 Correct 1022 ms 342424 KB Output is correct
23 Correct 108 ms 8088 KB Output is correct
24 Correct 76 ms 5224 KB Output is correct
25 Correct 85 ms 5344 KB Output is correct
26 Correct 86 ms 5432 KB Output is correct
27 Correct 295 ms 20812 KB Output is correct
28 Correct 104 ms 7896 KB Output is correct
29 Correct 3 ms 4428 KB Output is correct
30 Correct 3 ms 4684 KB Output is correct
31 Correct 3 ms 4812 KB Output is correct
32 Correct 3 ms 4940 KB Output is correct
33 Correct 303 ms 19804 KB Output is correct
34 Correct 651 ms 136868 KB Output is correct
35 Correct 850 ms 210440 KB Output is correct
36 Correct 1084 ms 280720 KB Output is correct
37 Correct 189 ms 5496 KB Output is correct
38 Correct 163 ms 4636 KB Output is correct
39 Correct 188 ms 5480 KB Output is correct
40 Correct 165 ms 4616 KB Output is correct
41 Correct 186 ms 5452 KB Output is correct
42 Correct 169 ms 4892 KB Output is correct
43 Correct 287 ms 20480 KB Output is correct
44 Correct 112 ms 7904 KB Output is correct
45 Correct 75 ms 4932 KB Output is correct
46 Correct 105 ms 4836 KB Output is correct
47 Correct 423 ms 92336 KB Output is correct
48 Correct 791 ms 188840 KB Output is correct
49 Correct 92 ms 5060 KB Output is correct
50 Correct 87 ms 5040 KB Output is correct
51 Correct 88 ms 5060 KB Output is correct
52 Correct 87 ms 4964 KB Output is correct
53 Correct 86 ms 4988 KB Output is correct
54 Correct 83 ms 4936 KB Output is correct