oj.uz

Submission #847950

# Submission time Handle Problem Language Result Execution time Memory
847950 2023-09-10T23:37:03 Z resting Modern Machine (JOI23_ho_t5) C++17
25 / 100
 1734 ms 1039484 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 = max(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;
            int nl = v1 ? ls[tmp1 + v1] : li;
            int nr = v2 ? rs[tmp2 + v2] : ri;
            if (nl > nr) return false;
            li = nl; ri = nr;
            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 254 ms 1026164 KB Output is correct
2 Correct 255 ms 1026384 KB Output is correct
3 Correct 250 ms 1026128 KB Output is correct
4 Correct 256 ms 1026296 KB Output is correct
5 Correct 253 ms 1026128 KB Output is correct
6 Correct 256 ms 1026332 KB Output is correct
7 Correct 254 ms 1026036 KB Output is correct
8 Correct 250 ms 1026128 KB Output is correct
9 Correct 255 ms 1026188 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 254 ms 1026164 KB Output is correct
2 Correct 255 ms 1026384 KB Output is correct
3 Correct 250 ms 1026128 KB Output is correct
4 Correct 256 ms 1026296 KB Output is correct
5 Correct 253 ms 1026128 KB Output is correct
6 Correct 256 ms 1026332 KB Output is correct
7 Correct 254 ms 1026036 KB Output is correct
8 Correct 250 ms 1026128 KB Output is correct
9 Correct 255 ms 1026188 KB Output is correct
10 Correct 263 ms 1027068 KB Output is correct
11 Correct 268 ms 1026988 KB Output is correct
12 Correct 266 ms 1026896 KB Output is correct
13 Correct 263 ms 1026860 KB Output is correct
14 Correct 264 ms 1026896 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 254 ms 1026164 KB Output is correct
2 Correct 255 ms 1026384 KB Output is correct
3 Correct 250 ms 1026128 KB Output is correct
4 Correct 256 ms 1026296 KB Output is correct
5 Correct 253 ms 1026128 KB Output is correct
6 Correct 256 ms 1026332 KB Output is correct
7 Correct 254 ms 1026036 KB Output is correct
8 Correct 250 ms 1026128 KB Output is correct
9 Correct 255 ms 1026188 KB Output is correct
10 Correct 263 ms 1027068 KB Output is correct
11 Correct 268 ms 1026988 KB Output is correct
12 Correct 266 ms 1026896 KB Output is correct
13 Correct 263 ms 1026860 KB Output is correct
14 Correct 264 ms 1026896 KB Output is correct
15 Correct 253 ms 1026128 KB Output is correct
16 Correct 258 ms 1026012 KB Output is correct
17 Correct 255 ms 1026128 KB Output is correct
18 Correct 1492 ms 1037908 KB Output is correct
19 Correct 1535 ms 1038164 KB Output is correct
20 Correct 1556 ms 1038644 KB Output is correct
21 Correct 1635 ms 1039484 KB Output is correct
22 Correct 1508 ms 1038304 KB Output is correct
23 Correct 1505 ms 1038728 KB Output is correct
24 Correct 1422 ms 1038036 KB Output is correct
25 Correct 1416 ms 1037932 KB Output is correct

Subtask #4
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 262 ms 1026276 KB Output is correct
2 Correct 1734 ms 1029964 KB Output is correct
3 Correct 1699 ms 1029720 KB Output is correct
4 Correct 1364 ms 1029316 KB Output is correct
5 Correct 1297 ms 1029968 KB Output is correct
6 Incorrect 1311 ms 1029836 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 262 ms 1026276 KB Output is correct
2 Correct 1734 ms 1029964 KB Output is correct
3 Correct 1699 ms 1029720 KB Output is correct
4 Correct 1364 ms 1029316 KB Output is correct
5 Correct 1297 ms 1029968 KB Output is correct
6 Incorrect 1311 ms 1029836 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 262 ms 1026276 KB Output is correct
2 Correct 1734 ms 1029964 KB Output is correct
3 Correct 1699 ms 1029720 KB Output is correct
4 Correct 1364 ms 1029316 KB Output is correct
5 Correct 1297 ms 1029968 KB Output is correct
6 Incorrect 1311 ms 1029836 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #7
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 254 ms 1026164 KB Output is correct
2 Correct 255 ms 1026384 KB Output is correct
3 Correct 250 ms 1026128 KB Output is correct
4 Correct 256 ms 1026296 KB Output is correct
5 Correct 253 ms 1026128 KB Output is correct
6 Correct 256 ms 1026332 KB Output is correct
7 Correct 254 ms 1026036 KB Output is correct
8 Correct 250 ms 1026128 KB Output is correct
9 Correct 255 ms 1026188 KB Output is correct
10 Correct 263 ms 1027068 KB Output is correct
11 Correct 268 ms 1026988 KB Output is correct
12 Correct 266 ms 1026896 KB Output is correct
13 Correct 263 ms 1026860 KB Output is correct
14 Correct 264 ms 1026896 KB Output is correct
15 Correct 253 ms 1026128 KB Output is correct
16 Correct 258 ms 1026012 KB Output is correct
17 Correct 255 ms 1026128 KB Output is correct
18 Correct 1492 ms 1037908 KB Output is correct
19 Correct 1535 ms 1038164 KB Output is correct
20 Correct 1556 ms 1038644 KB Output is correct
21 Correct 1635 ms 1039484 KB Output is correct
22 Correct 1508 ms 1038304 KB Output is correct
23 Correct 1505 ms 1038728 KB Output is correct
24 Correct 1422 ms 1038036 KB Output is correct
25 Correct 1416 ms 1037932 KB Output is correct
26 Correct 262 ms 1026276 KB Output is correct
27 Correct 1734 ms 1029964 KB Output is correct
28 Correct 1699 ms 1029720 KB Output is correct
29 Correct 1364 ms 1029316 KB Output is correct
30 Correct 1297 ms 1029968 KB Output is correct
31 Incorrect 1311 ms 1029836 KB Output isn't correct
32 Halted 0 ms 0 KB -