oj.uz

Submission #847948

# Submission time Handle Problem Language Result Execution time Memory
847948 2023-09-10T23:29:11 Z resting Modern Machine (JOI23_ho_t5) C++17
25 / 100
 1737 ms 1039272 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long
const int mx = 1.2e5 + 5;

const int magic = 350;
//const int magic = 3;

namespace rmq {
    struct segtree {
        segtree* lc = 0, * rc = 0;
        int l, r;
        int v = numeric_limits<int>::max();
        segtree* getmem();
        segtree() : segtree(-1, -1) {};
        segtree(int l, int r) : l(l), r(r) {
            if (l == r)return;
            int m = (l + r) / 2;
            lc = getmem(); *lc = segtree(l, m);
            rc = getmem(); *rc = segtree(m + 1, r);
        };
        segtree* upd(int qi, int qv) {
            segtree* tr = getmem(); *tr = *this;
            if (qi < l || qi > r) return tr;
            if (l == r) { tr->v = qv; return tr; }
            tr->lc = lc->upd(qi, qv); tr->rc = rc->upd(qi, qv);
            tr->v = min(tr->lc->v, tr->rc->v);
            return tr;
        }
        int q(int ql, int qr) {
            if (ql > qr)return numeric_limits<int>::max();
            if (ql > r || qr < l) return numeric_limits<int>::max();
            if (ql <= l && qr >= r) return v;
            return min(lc->q(ql, qr), rc->q(ql, qr));
        }
    }mem[mx * 50]; int memsz = 0;// surely enogh?
    segtree* segtree::getmem() { return &mem[memsz++]; }
}

namespace rsq {
    struct segtree {
        segtree* lc = 0, * rc = 0;
        int l, r;
        int v = 0;
        segtree* getmem();
        segtree() : segtree(-1, -1) {};
        segtree(int l, int r) : l(l), r(r) {
            if (l == r)return;
            int m = (l + r) / 2;
            lc = getmem(); *lc = segtree(l, m);
            rc = getmem(); *rc = segtree(m + 1, r);
        };
        segtree* upd(int qi, int qv) {
            segtree* tr = getmem(); *tr = *this;
            if (qi < l || qi > r) return tr;
            if (l == r) { tr->v += qv; return tr; }
            tr->lc = lc->upd(qi, qv); tr->rc = rc->upd(qi, qv);
            tr->v = tr->lc->v + tr->rc->v;
            return tr;
        }
        int q(int ql, int qr) {
            if (ql > qr) return 0;
            if (ql > r || qr < l) return 0;
            if (ql <= l && qr >= r) return v;
            return lc->q(ql, qr) + rc->q(ql, qr);
        }
    }mem[mx * 100]; int memsz = 0;// surely enogh?
    segtree* segtree::getmem() { return &mem[memsz++]; }
}

struct bit {
    vector<int> b, a;
    bit(int n) : b(n + 1, 0), a(n + 1, 0) {};
    int q(int i) { int v = 0; for (i++; i > 0; i -= i & -i) v += b[i]; return v; }
    void u(int i, int v) { if (i < a.size()) a[i] += v; for (i++; i < b.size(); i += i & -i) b[i] += v; }
    void u(int l, int r, int v) { if (l > r) return; u(l, v);  u(r + 1, -v); }
};



int32_t main() {
    int n, m; cin >> n >> m;
    string c; cin >> c;
    vector<int> a(m); for (auto& x : a) { cin >> x;  x--; }
    vector<vector<int>> a2(n + 1);
    for (int i = 0; i < m; i++) a2[a[i]].push_back(i);
    vector<int> ls, rs;
    ls.push_back(-1); rs.push_back(n);
    for (int i = 0; i < n; i++) if (c[i] == 'B') ls.push_back(i);
    for (int i = n - 1; i >= 0; i--) if (c[i] == 'R') rs.push_back(i);

    vector<int> pre(n, 0);
    for (int i = 0; i < n; i++) {
        if (i) pre[i] = pre[i - 1];
        pre[i] += c[i] == 'R';
    }

    auto sm = [&](int l, int r) {
        if (l > r) return 0LL;
        if (l > n) l = n;
        if (r > n - 1) r = n - 1;
        if (r < 0) return 0LL;
        if (l <= 0) return pre[r];
        return pre[r] - pre[l - 1];
    }; //very necessary yk

    rmq::segtree* tmp = new rmq::segtree(0, n - 1);
    vector<rmq::segtree*> ac(m, 0);
    for (int i = m - 1; i >= 0; i--) {
        ac[i] = tmp = tmp->upd(a[i], i);
        //cout << ac[i]->v << endl;
    }

    rsq::segtree* tmp2 = new rsq::segtree(0, m - 1);
    vector<rsq::segtree*> ac2(n + 1, 0);
    for (int i = 0; i <= n; i++) {
        for (auto& x : a2[i]) tmp2 = tmp2->upd(x, i + 1);
        ac2[i] = tmp2;
    }

    rsq::segtree* tmp3 = new rsq::segtree(0, m - 1);
    vector<rsq::segtree*> ac3(n + 1, 0);
    for (int i = n; i >= 0; i--) {
        for (auto& x : a2[i]) {
            tmp3 = tmp3->upd(x, n - 1 - i);
            // if (x >= 5 && x <= 7) {
            //     //cout << "owo" << x << "," << i << endl;
            //     cout << tmp3->v << "," << tmp3->q(5, 7) << endl;
            // }
        }
        ac3[i] = tmp3;
    }
    //cout << "BRUH " << ac2[2]->q(5, 7) << "," << ac3[3]->q(5, 7) << endl;

    int holy[mx / magic][mx];
    for (int j = 0; j + magic <= m; j += magic) {
        int k = j / magic;
        bit die(n + 1);
        //cout << j << endl;
        for (int i = 0; i <= n; i++) die.u(i, i, i);
        for (int x = j; x < j + magic; x++) {
            int cur = 0;
            while (cur <= n) {
                if (1) {
                    int i = die.q(cur) / (n + 1);
                    int l = cur - 1, r = n + 1;
                    while (r - l > 1) {
                        int m = l + (r - l) / 2;
                        if (die.q(m) / (n + 1) == i) l = m;
                        else r = m;
                    }
                    //[cur, l] is bound
                    int l2 = cur - 1, r2 = l + 1;
                    while (r2 - l2 > 1) {
                        int m = l2 + (r2 - l2) / 2;
                        if (die.q(m) % (n + 1) <= a[x]) l2 = m;
                        else r2 = m;
                    }
                    //r is bound
                    die.u(cur, l2, 1);
                    cur = l + 1;
                }

                else {
                    if (die.q(cur) % (n + 1) <= a[x]) die.u(cur, cur, 1);
                    cur++;
                }
            }
            die.u(0, n, a[x] + 1);
            //for (int i = 0; i <= n; i++) cout << die.q(i) << ",";
            //cout << endl;
        }
        for (int i = 0; i <= n; i++) {
            if (i) die.a[i] += die.a[i - 1];
            holy[k][i] = die.a[i] % (n + 1);
        }
    }

    int q; cin >> q;

    while (q--) {
        int l, r; cin >> l >> r; l--;r--;
        //solve
        int li = -1, ri = n;
        int cur = l;
        auto qcnt = [&](int l, int r) {
            //cout << "q " << l << "," << r << "," << li << "," << ri << endl;
            int res = 0;
            if (l > r) return 0LL;
            if (r <= li) return r - l + 1;
            if (l >= ri) return 0LL;
            if (l <= li) {
                res += li - l + 1;
                l = li + 1;
            }
            if (r >= ri) r = ri - 1;
            //cout << "fk" << l << "," << r << "," << res << endl;
            return res + sm(l, r);
            //LMAO
        };

        auto qcnt2 = [&](int l, int r) {
            if (l > r) return 0LL;
            return (r - l + 1) - qcnt(l, r);};

        auto thing = [&](int t) { // should work for everything?
            //cout << "br" << t << endl;
            int a = qcnt(0, t - 1) * 2 + 1;
            int b = qcnt2(t + 1, n - 1) * 2;
            //cout << a << "|" << b << endl;
            if (a > b) {
                int ll = 0 - 1, rr = t + 1;
                while (rr - ll > 1) {
                    int m = ll + (rr - ll) / 2;
                    if (qcnt(m, t - 1) * 2 + 1 >= b)ll = m;
                    else rr = m;
                }
                ri = min(ri, ll);
                if (li >= ri) li = ri - 1;
            } else {
                int ll = t, rr = n;
                while (rr - ll > 1) {
                    int m = ll + (rr - ll) / 2;
                    //cout << ll << "," << rr << "," << m << endl;
                    if (qcnt2(t + 1, m) * 2 >= a)rr = m;
                    else ll = m;
                }
                li = rr;
                if (ri <= li) ri = li + 1;
            }
        };

        auto test = [&](int t) -> bool {
            //cout << "Bad" << t << endl;
            //cout << "how" << li << "," << ri << endl;
            int v1 = li == -1 ? 0 : ac2[li]->q(cur, t);
            //cout << "que" << endl;
            int v2 = ri == n ? 0 : ac3[ri]->q(cur, t);
            // cout << cur << "," << li << "," << ri << "," << t << "," << v1 << "," << v2 << endl;
             //cout << "nah" << endl;
            int tmp1 = prev(upper_bound(ls.begin(), ls.end(), li)) - ls.begin();
            int tmp2 = prev(upper_bound(rs.begin(), rs.end(), ri, greater<int>())) - rs.begin();
            if (tmp1 + v1 >= ls.size()) return false;
            if (tmp2 + v2 >= rs.size()) return false;
            if (ls[tmp1 + v1] >= rs[tmp2 + v2]) return false;
            if (v1)li = ls[tmp1 + v1];
            if (v2)ri = rs[tmp2 + v2];
            cur = t + 1;
            return true;
        };

        while (cur <= r) {
            //cout << ac[cur]->q(li + 1, ri - 1) << endl;
            //cout << "die " << cur << "," << li + 1 << "," << ri - 1 << "," << r << endl;
            int t = min(ac[cur]->q(li + 1, ri - 1), r + 1);
            //do the thing?
            if (!test(t - 1)) break;
            //cout << "hi " << li << "," << ri << endl;
            //cout << "hell " << cur << "," << a[cur] << endl;
            //cout << "asdf " << li << "," << ri << "," << cur << endl;
            if (cur <= r)thing(a[cur++]);
            // cout << "asdf2 " << li << "," << ri << "," << cur << endl;
        }
        //cout << "asdf3 " << li << "," << ri << "," << cur << endl;
        //cout << "broke" << endl;
        if (cur <= r) {
            int t = min(ac[cur]->q(li + 1, ri - 1), r + 1);
            //cout << "T IS " << t << endl;
            for (int i = 18; i >= 0; i--) {
                if (cur + i <= t - 1) test(cur + i);
            }
            //cout << "asdf4 " << li << "," << ri << "," << cur << endl;
            //if (cur <= r)cout << "no" << endl;
        }

        if (cur <= r) thing(a[cur++]);
        //cout << li << "," << ri << "," << cur << endl;
        while (cur <= r) {
            if (li != ri - 1) {
                thing(a[cur++]);
            } else if (cur % magic == 0 && cur + magic <= r + 1) {
                //cout << cur << "," << magic << "," << ri << "," << holy[cur / magic][ri] << endl;
                ri = holy[cur / magic][ri];
                li = ri - 1;
                cur += magic;
            } else {
                //cout << "br" << "," << cur << "," << a[cur] << endl;
                if (a[cur] >= ri) ri++;
                ri += a[cur] + 1; ri %= (n + 1);
                li = ri - 1;
                cur++;
            }
            //cout << li << "," << ri << "," << cur << endl;
            //cout << ri << endl;
        }
        cout << qcnt(0, n - 1) << endl;
        //if (cur <= r)cout << "yes" << endl;
        //cout << li << "," << ri << endl;
        //if (cur <= r) cout << "ans: " << (li + ac2[n - 1]->q(cur, r)) % (n + 1) << endl;
        //else cout << "ans: " << qcnt(0, n - 1) << endl;
    }
}

Compilation message

Main.cpp: In member function 'void bit::u(long long int, long long int)':
Main.cpp:76:34: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   76 |     void u(int i, int v) { if (i < a.size()) a[i] += v; for (i++; i < b.size(); i += i & -i) b[i] += v; }
      |                                ~~^~~~~~~~~~
Main.cpp:76:69: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   76 |     void u(int i, int v) { if (i < a.size()) a[i] += v; for (i++; i < b.size(); i += i & -i) b[i] += v; }
      |                                                                   ~~^~~~~~~~~~
Main.cpp: In lambda function:
Main.cpp:244:27: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  244 |             if (tmp1 + v1 >= ls.size()) return false;
      |                 ~~~~~~~~~~^~~~~~~~~~~~
Main.cpp:245:27: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  245 |             if (tmp2 + v2 >= rs.size()) return false;
      |                 ~~~~~~~~~~^~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 261 ms 1026132 KB Output is correct
2 Correct 266 ms 1026020 KB Output is correct
3 Correct 255 ms 1026132 KB Output is correct
4 Correct 252 ms 1026124 KB Output is correct
5 Correct 252 ms 1026156 KB Output is correct
6 Correct 256 ms 1026128 KB Output is correct
7 Correct 257 ms 1026100 KB Output is correct
8 Correct 258 ms 1026232 KB Output is correct
9 Correct 255 ms 1026128 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 261 ms 1026132 KB Output is correct
2 Correct 266 ms 1026020 KB Output is correct
3 Correct 255 ms 1026132 KB Output is correct
4 Correct 252 ms 1026124 KB Output is correct
5 Correct 252 ms 1026156 KB Output is correct
6 Correct 256 ms 1026128 KB Output is correct
7 Correct 257 ms 1026100 KB Output is correct
8 Correct 258 ms 1026232 KB Output is correct
9 Correct 255 ms 1026128 KB Output is correct
10 Correct 268 ms 1026796 KB Output is correct
11 Correct 267 ms 1026960 KB Output is correct
12 Correct 279 ms 1026924 KB Output is correct
13 Correct 261 ms 1026888 KB Output is correct
14 Correct 272 ms 1027012 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 261 ms 1026132 KB Output is correct
2 Correct 266 ms 1026020 KB Output is correct
3 Correct 255 ms 1026132 KB Output is correct
4 Correct 252 ms 1026124 KB Output is correct
5 Correct 252 ms 1026156 KB Output is correct
6 Correct 256 ms 1026128 KB Output is correct
7 Correct 257 ms 1026100 KB Output is correct
8 Correct 258 ms 1026232 KB Output is correct
9 Correct 255 ms 1026128 KB Output is correct
10 Correct 268 ms 1026796 KB Output is correct
11 Correct 267 ms 1026960 KB Output is correct
12 Correct 279 ms 1026924 KB Output is correct
13 Correct 261 ms 1026888 KB Output is correct
14 Correct 272 ms 1027012 KB Output is correct
15 Correct 253 ms 1026132 KB Output is correct
16 Correct 256 ms 1026004 KB Output is correct
17 Correct 256 ms 1026100 KB Output is correct
18 Correct 1499 ms 1037772 KB Output is correct
19 Correct 1528 ms 1038108 KB Output is correct
20 Correct 1584 ms 1038448 KB Output is correct
21 Correct 1649 ms 1039272 KB Output is correct
22 Correct 1520 ms 1038244 KB Output is correct
23 Correct 1510 ms 1038644 KB Output is correct
24 Correct 1378 ms 1037844 KB Output is correct
25 Correct 1391 ms 1037800 KB Output is correct

Subtask #4
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 255 ms 1026128 KB Output is correct
2 Correct 1737 ms 1029976 KB Output is correct
3 Correct 1700 ms 1029716 KB Output is correct
4 Correct 1373 ms 1029388 KB Output is correct
5 Correct 1328 ms 1030164 KB Output is correct
6 Incorrect 1310 ms 1029700 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 255 ms 1026128 KB Output is correct
2 Correct 1737 ms 1029976 KB Output is correct
3 Correct 1700 ms 1029716 KB Output is correct
4 Correct 1373 ms 1029388 KB Output is correct
5 Correct 1328 ms 1030164 KB Output is correct
6 Incorrect 1310 ms 1029700 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 255 ms 1026128 KB Output is correct
2 Correct 1737 ms 1029976 KB Output is correct
3 Correct 1700 ms 1029716 KB Output is correct
4 Correct 1373 ms 1029388 KB Output is correct
5 Correct 1328 ms 1030164 KB Output is correct
6 Incorrect 1310 ms 1029700 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #7
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 261 ms 1026132 KB Output is correct
2 Correct 266 ms 1026020 KB Output is correct
3 Correct 255 ms 1026132 KB Output is correct
4 Correct 252 ms 1026124 KB Output is correct
5 Correct 252 ms 1026156 KB Output is correct
6 Correct 256 ms 1026128 KB Output is correct
7 Correct 257 ms 1026100 KB Output is correct
8 Correct 258 ms 1026232 KB Output is correct
9 Correct 255 ms 1026128 KB Output is correct
10 Correct 268 ms 1026796 KB Output is correct
11 Correct 267 ms 1026960 KB Output is correct
12 Correct 279 ms 1026924 KB Output is correct
13 Correct 261 ms 1026888 KB Output is correct
14 Correct 272 ms 1027012 KB Output is correct
15 Correct 253 ms 1026132 KB Output is correct
16 Correct 256 ms 1026004 KB Output is correct
17 Correct 256 ms 1026100 KB Output is correct
18 Correct 1499 ms 1037772 KB Output is correct
19 Correct 1528 ms 1038108 KB Output is correct
20 Correct 1584 ms 1038448 KB Output is correct
21 Correct 1649 ms 1039272 KB Output is correct
22 Correct 1520 ms 1038244 KB Output is correct
23 Correct 1510 ms 1038644 KB Output is correct
24 Correct 1378 ms 1037844 KB Output is correct
25 Correct 1391 ms 1037800 KB Output is correct
26 Correct 255 ms 1026128 KB Output is correct
27 Correct 1737 ms 1029976 KB Output is correct
28 Correct 1700 ms 1029716 KB Output is correct
29 Correct 1373 ms 1029388 KB Output is correct
30 Correct 1328 ms 1030164 KB Output is correct
31 Incorrect 1310 ms 1029700 KB Output isn't correct
32 Halted 0 ms 0 KB -