oj.uz

Submission #465567

# Submission time Handle Problem Language Result Execution time Memory
465567 2021-08-16T11:16:27 Z alextodoran Street Lamps (APIO19_street_lamps) C++17
20 / 100
 4505 ms 524292 KB 
/**
 ____ ____ ____ ____ ____
||a |||t |||o |||d |||o ||
||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|

**/

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N_MAX = 300000;
const int Q_MAX = 300000;

int n, q;

bool light[N_MAX + 2];

struct Query
{
    string type;
    int pos;
    int l, r;
};

Query queries[Q_MAX + 2];

int lLenPre[(N_MAX + 1) + 2];
int lLen[Q_MAX + 2];
int rLen[Q_MAX + 2];
bool full[Q_MAX + 2];

struct SGTNode
{
    int len;
    int pref;
    int suff;
};

SGTNode join (const SGTNode &u, const SGTNode &v)
{
    return SGTNode
    {
        u.len + v.len,
        (u.pref == u.len ? u.len + v.pref : u.pref),
        (v.suff == v.len ? v.len + u.suff : v.suff)
    };
}

SGTNode SGT[N_MAX * 4 + 2];

void build (int node, int l, int r)
{
    if(l == r)
    {
        SGT[node] = SGTNode{1, light[l], light[l]};
        return;
    }

    int mid = (l + r) / 2;
    int lSon = node * 2, rSon = node * 2 + 1;

    build(lSon, l, mid);
    build(rSon, mid + 1, r);

    SGT[node] = join(SGT[lSon], SGT[rSon]);
}
void build ()
{
    build(1, 1, n);
}

void update (int node, int l, int r, int upos)
{
    if(l == r)
    {
        SGT[node].pref = 1 - SGT[node].pref;
        SGT[node].suff = 1 - SGT[node].suff;
        return;
    }

    int mid = (l + r) / 2;
    int lSon = node * 2, rSon = node * 2 + 1;

    if(upos <= mid)
        update(lSon, l, mid, upos);
    else
        update(rSon, mid + 1, r, upos);

    SGT[node] = join(SGT[lSon], SGT[rSon]);
}
void update (int upos)
{
    update(1, 1, n, upos);
}

SGTNode query (int node, int l, int r, int ql, int qr)
{
    if(ql <= l && r <= qr)
        return SGT[node];

    int mid = (l + r) / 2;
    int lSon = node * 2, rSon = node * 2 + 1;

    if(ql <= mid && mid + 1 <= qr)
        return join(query(lSon, l, mid, ql, qr), query(rSon, mid + 1, r, ql, qr));
    else if(ql <= mid)
        return query(lSon, l, mid, ql, qr);
    else
        return query(rSon, mid + 1, r, ql, qr);
}
SGTNode query (int ql, int qr)
{
    if(ql > qr)
        return SGTNode{0, 0, 0};
    return query(1, 1, n, ql, qr);
}

vector <int> BITpos[(N_MAX + 1) + 2];

vector <int> BIT[(N_MAX + 1) + 2];

void BITupdateSim (int x, int y)
{
    for(int i = x; i <= n + 1; i += i & -i)
        for(int j = y; j <= n + 1; j += j & -j)
            BITpos[i].push_back(j);
}
void BITupdateSim (int lx, int rx, int ly, int ry)
{
    if(lx > rx || ly > ry)
        return;
    BITupdateSim(lx, ly);
    BITupdateSim(rx + 1, ly);
    BITupdateSim(lx, ry + 1);
    BITupdateSim(rx + 1, ry + 1);
}
void BITquerySim (int x, int y)
{
    for(int i = x; i >= 1; i -= i & -i)
        for(int j = y; j >= 1; j -= j & -j)
            BITpos[i].push_back(j);
}
void compress (int i)
{
    sort(BITpos[i].begin(), BITpos[i].end());
    BITpos[i].resize(unique(BITpos[i].begin(), BITpos[i].end()) - BITpos[i].begin());
    BIT[i].resize((int) BITpos[i].size() + 1);
}
int getPos (int i, int y)
{
    int l = 0, r = (int) BITpos[i].size();
    while(l < r)
    {
        int mid = (l + r) / 2;
        if(BITpos[i][mid] < y)
            l = mid + 1;
        else
            r = mid;
    }
    assert(l < (int) BITpos[i].size());
    return l + 1;
}

void BITupdate (int x, int y, int uval)
{
    if(x > n + 1 || y > n + 1)
        return;
    for(int i = x; i <= n + 1; i += i & -i)
        for(int j = getPos(i, y); j <= (int) BITpos[i].size(); j += j & -j)
            BIT[i][j] += uval;
}
void BITupdate (int lx, int rx, int ly, int ry, int uval)
{
    if(lx > rx || ly > ry)
        return;
    BITupdate(lx, ly, uval);
    BITupdate(rx + 1, ly, -uval);
    BITupdate(lx, ry + 1, -uval);
    BITupdate(rx + 1, ry + 1, uval);
}

int BITquery (int x, int y)
{
    if(x < 1 || y < 1)
        return 0;
    int answer = 0;
    for(int i = x; i >= 1; i -= i & -i)
        for(int j = getPos(i, y); j >= 1; j -= j & -j)
            answer += BIT[i][j];
    return answer;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);

    cin >> n >> q;

    string s;
    cin >> s;

    for(int i = 1; i <= n; i++)
        light[i] = (s[i - 1] == '1');

    for(int qi = 1; qi <= q; qi++)
    {
        cin >> queries[qi].type;

        if(queries[qi].type == "toggle")
            cin >> queries[qi].pos;
        else
            cin >> queries[qi].l >> queries[qi].r;
    }

    build();

    for(int i = 2; i <= n + 1; i++)
        if(light[i - 1] == true)
        {
            lLenPre[i] = query(1, i - 1).suff;
            BITupdateSim(i - lLenPre[i], i - 1, i, i);
        }

    for(int qi = 1; qi <= q; qi++)
    {
        if(queries[qi].type == "toggle")
        {
            int upos = queries[qi].pos;

            lLen[qi] = query(1, upos - 1).suff;
            rLen[qi] = query(upos + 1, n).pref;

            if(light[upos] == true)
                BITupdateSim(upos - lLen[qi], upos, upos + 1, upos + 1 + rLen[qi]);

            light[upos] = !light[upos];
            update(upos);

            if(light[upos] == true)
                BITupdateSim(upos - lLen[qi], upos, upos + 1, upos + 1 + rLen[qi]);
        }
        else
        {
            int l = queries[qi].l;
            int r = queries[qi].r;

            BITquerySim(l, r);
            full[qi] = (query(l, r - 1).pref == r - l);
        }
    }

    for(int i = 1; i <= n + 1; i++)
        compress(i);

    for(int i = 1; i <= n; i++)
        light[i] = (s[i - 1] == '1');

    for(int i = 2; i <= n + 1; i++)
        if(light[i - 1] == true)
            BITupdate(i - lLenPre[i], i - 1, i, i, + q);

    for(int qi = 1; qi <= q; qi++)
    {
        if(queries[qi].type == "toggle")
        {
            int upos = queries[qi].pos;

            if(light[upos] == true)
                BITupdate(upos - lLen[qi], upos, upos + 1, upos + 1 + rLen[qi], - (q - qi));

            light[upos] = !light[upos];

            if(light[upos] == true)
                BITupdate(upos - lLen[qi], upos, upos + 1, upos + 1 + rLen[qi], + (q - qi));
        }
        else
        {
            int l = queries[qi].l;
            int r = queries[qi].r;

            int answer = BITquery(l, r);
            if(full[qi] == true)
                answer -= (q - qi);

            cout << answer << "\n";
        }
    }

    return 0;
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 28460 KB Output is correct
2 Correct 17 ms 28520 KB Output is correct
3 Correct 16 ms 28492 KB Output is correct
4 Correct 16 ms 28564 KB Output is correct
5 Correct 16 ms 28588 KB Output is correct
6 Correct 16 ms 28492 KB Output is correct
7 Correct 17 ms 28564 KB Output is correct

Subtask #2
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 662 ms 81372 KB Output is correct
2 Correct 1022 ms 108464 KB Output is correct
3 Correct 2073 ms 203840 KB Output is correct
4 Runtime error 1189 ms 524292 KB Execution killed with signal 9
5 Halted 0 ms 0 KB -

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 29132 KB Output is correct
2 Correct 22 ms 29272 KB Output is correct
3 Correct 23 ms 29320 KB Output is correct
4 Correct 27 ms 29548 KB Output is correct
5 Runtime error 1431 ms 524292 KB Execution killed with signal 9
6 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 29004 KB Output is correct
2 Correct 22 ms 29208 KB Output is correct
3 Correct 23 ms 29360 KB Output is correct
4 Correct 25 ms 29504 KB Output is correct
5 Runtime error 4505 ms 524292 KB Execution killed with signal 9
6 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 28460 KB Output is correct
2 Correct 17 ms 28520 KB Output is correct
3 Correct 16 ms 28492 KB Output is correct
4 Correct 16 ms 28564 KB Output is correct
5 Correct 16 ms 28588 KB Output is correct
6 Correct 16 ms 28492 KB Output is correct
7 Correct 17 ms 28564 KB Output is correct
8 Correct 662 ms 81372 KB Output is correct
9 Correct 1022 ms 108464 KB Output is correct
10 Correct 2073 ms 203840 KB Output is correct
11 Runtime error 1189 ms 524292 KB Execution killed with signal 9
12 Halted 0 ms 0 KB -