Submission #847994

# Submission time Handle Problem Language Result Execution time Memory
847994 2023-09-11T00:41:48 Z resting Modern Machine (JOI23_ho_t5) C++17
36 / 100
3000 ms 863516 KB
#include <bits/stdc++.h>
using namespace std;

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

const int magic = 400;
//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 * 40]; 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 * 80]; int memsz = 0;// surely enogh?
    segtree* segtree::getmem() { return &mem[memsz++]; }
}

struct bit {
    vector<int> b, a;
    vector<pair<int, int>> us;
    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) { us.push_back({ i, 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); }
};

int holy[mx / magic][mx];


int32_t main() {
    cin.tie(0)->sync_with_stdio(0);
    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);
    }

    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);
        }
        ac3[i] = tmp3;
    }

    bit die(n + 1);
    for (int i = 0; i <= n; i++) die.u(i, i, i);
    die.us.clear();
    for (int j = 0; j + magic <= m; j += magic) {
        int k = j / magic;
        for (int x = j; x < j + magic; x++) {
            int cur = 0;
            while (cur <= n) {
                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;
            }
            die.u(0, n, a[x] + 1);
        }
        int ps = 0;
        for (int i = 0; i <= n; i++) {
            ps += die.a[i];
            holy[k][i] = ps % (n + 1);
        }
        for (auto& x : die.us)die.u(x.first, -x.second);
        die.us.clear();
    }

    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) {
            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;
            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?
            int a = qcnt(0, t - 1) * 2 + 1;
            int b = qcnt2(t + 1, n - 1) * 2;
            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;
                    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 {
            int v1 = li == -1 ? 0 : ac2[li]->q(cur, t);
            int v2 = ri == n ? 0 : ac3[ri]->q(cur, t);
            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) {
            int t = min(ac[cur]->q(li + 1, ri - 1), r + 1);
            //do the thing?
            if (!test(t - 1)) break;
            if (cur <= r)thing(a[cur++]);
        }
        if (cur <= r) {
            int t = min(ac[cur]->q(li + 1, ri - 1), r + 1);
            for (int i = 18; i >= 0; i--) {
                if (cur + (1 << i) <= t - 1) test(cur + (1 << i));
            }
        }

        for (int i = 0; i < 5; i++) if (cur <= r) thing(a[cur++]);
        int nxt = (cur / magic + 1) * magic;
        while (cur <= r) {
            if (cur == nxt && cur + magic <= r + 1) {
                ri = holy[cur / magic][ri];
                li = ri - 1;
                cur += magic;
                nxt += magic;
            } else {
                if (a[cur] >= ri) ri++;
                ri += a[cur] + 1;
                while (ri >= n + 1) ri -= (n + 1);
                li = ri - 1;
                cur++;
            }
        }
        cout << qcnt(0, n - 1) << endl;
    }
}

Compilation message

Main.cpp: In member function 'void bit::u(long long int, long long int)':
Main.cpp:77:57: 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]
   77 |     void u(int i, int v) { us.push_back({ i, v });if (i < a.size()) a[i] += v; for (i++; i < b.size(); i += i & -i) b[i] += v; }
      |                                                       ~~^~~~~~~~~~
Main.cpp:77:92: 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]
   77 |     void u(int i, int v) { us.push_back({ i, 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:224:27: 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]
  224 |             if (tmp1 + v1 >= ls.size()) return false;
      |                 ~~~~~~~~~~^~~~~~~~~~~~
Main.cpp:225:27: 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]
  225 |             if (tmp2 + v2 >= rs.size()) return false;
      |                 ~~~~~~~~~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 77 ms 564560 KB Output is correct
2 Correct 78 ms 564508 KB Output is correct
3 Correct 77 ms 564560 KB Output is correct
4 Correct 78 ms 564560 KB Output is correct
5 Correct 75 ms 564560 KB Output is correct
6 Correct 76 ms 564560 KB Output is correct
7 Correct 77 ms 564636 KB Output is correct
8 Correct 75 ms 564772 KB Output is correct
9 Correct 77 ms 564380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 77 ms 564560 KB Output is correct
2 Correct 78 ms 564508 KB Output is correct
3 Correct 77 ms 564560 KB Output is correct
4 Correct 78 ms 564560 KB Output is correct
5 Correct 75 ms 564560 KB Output is correct
6 Correct 76 ms 564560 KB Output is correct
7 Correct 77 ms 564636 KB Output is correct
8 Correct 75 ms 564772 KB Output is correct
9 Correct 77 ms 564380 KB Output is correct
10 Correct 87 ms 582108 KB Output is correct
11 Correct 92 ms 582124 KB Output is correct
12 Correct 90 ms 582112 KB Output is correct
13 Correct 87 ms 582104 KB Output is correct
14 Correct 87 ms 582204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 77 ms 564560 KB Output is correct
2 Correct 78 ms 564508 KB Output is correct
3 Correct 77 ms 564560 KB Output is correct
4 Correct 78 ms 564560 KB Output is correct
5 Correct 75 ms 564560 KB Output is correct
6 Correct 76 ms 564560 KB Output is correct
7 Correct 77 ms 564636 KB Output is correct
8 Correct 75 ms 564772 KB Output is correct
9 Correct 77 ms 564380 KB Output is correct
10 Correct 87 ms 582108 KB Output is correct
11 Correct 92 ms 582124 KB Output is correct
12 Correct 90 ms 582112 KB Output is correct
13 Correct 87 ms 582104 KB Output is correct
14 Correct 87 ms 582204 KB Output is correct
15 Correct 75 ms 564400 KB Output is correct
16 Correct 79 ms 564596 KB Output is correct
17 Correct 77 ms 564560 KB Output is correct
18 Correct 521 ms 861364 KB Output is correct
19 Correct 582 ms 861432 KB Output is correct
20 Correct 634 ms 861748 KB Output is correct
21 Correct 735 ms 862976 KB Output is correct
22 Correct 600 ms 861780 KB Output is correct
23 Correct 587 ms 861764 KB Output is correct
24 Correct 450 ms 861404 KB Output is correct
25 Correct 452 ms 861264 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 77 ms 564560 KB Output is correct
2 Correct 2159 ms 849556 KB Output is correct
3 Correct 2185 ms 849488 KB Output is correct
4 Correct 1218 ms 849100 KB Output is correct
5 Correct 1042 ms 849160 KB Output is correct
6 Correct 1060 ms 849360 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 77 ms 564560 KB Output is correct
2 Correct 2159 ms 849556 KB Output is correct
3 Correct 2185 ms 849488 KB Output is correct
4 Correct 1218 ms 849100 KB Output is correct
5 Correct 1042 ms 849160 KB Output is correct
6 Correct 1060 ms 849360 KB Output is correct
7 Correct 77 ms 564560 KB Output is correct
8 Correct 76 ms 564560 KB Output is correct
9 Correct 75 ms 564560 KB Output is correct
10 Correct 90 ms 582060 KB Output is correct
11 Execution timed out 3047 ms 863516 KB Time limit exceeded
12 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 77 ms 564560 KB Output is correct
2 Correct 2159 ms 849556 KB Output is correct
3 Correct 2185 ms 849488 KB Output is correct
4 Correct 1218 ms 849100 KB Output is correct
5 Correct 1042 ms 849160 KB Output is correct
6 Correct 1060 ms 849360 KB Output is correct
7 Correct 76 ms 564536 KB Output is correct
8 Correct 76 ms 564540 KB Output is correct
9 Correct 80 ms 564388 KB Output is correct
10 Correct 79 ms 564468 KB Output is correct
11 Correct 76 ms 564560 KB Output is correct
12 Correct 76 ms 564564 KB Output is correct
13 Correct 77 ms 564440 KB Output is correct
14 Correct 77 ms 564536 KB Output is correct
15 Correct 76 ms 564564 KB Output is correct
16 Correct 76 ms 564560 KB Output is correct
17 Correct 86 ms 582092 KB Output is correct
18 Correct 521 ms 861308 KB Output is correct
19 Correct 2841 ms 862564 KB Output is correct
20 Execution timed out 3039 ms 862304 KB Time limit exceeded
21 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 77 ms 564560 KB Output is correct
2 Correct 78 ms 564508 KB Output is correct
3 Correct 77 ms 564560 KB Output is correct
4 Correct 78 ms 564560 KB Output is correct
5 Correct 75 ms 564560 KB Output is correct
6 Correct 76 ms 564560 KB Output is correct
7 Correct 77 ms 564636 KB Output is correct
8 Correct 75 ms 564772 KB Output is correct
9 Correct 77 ms 564380 KB Output is correct
10 Correct 87 ms 582108 KB Output is correct
11 Correct 92 ms 582124 KB Output is correct
12 Correct 90 ms 582112 KB Output is correct
13 Correct 87 ms 582104 KB Output is correct
14 Correct 87 ms 582204 KB Output is correct
15 Correct 75 ms 564400 KB Output is correct
16 Correct 79 ms 564596 KB Output is correct
17 Correct 77 ms 564560 KB Output is correct
18 Correct 521 ms 861364 KB Output is correct
19 Correct 582 ms 861432 KB Output is correct
20 Correct 634 ms 861748 KB Output is correct
21 Correct 735 ms 862976 KB Output is correct
22 Correct 600 ms 861780 KB Output is correct
23 Correct 587 ms 861764 KB Output is correct
24 Correct 450 ms 861404 KB Output is correct
25 Correct 452 ms 861264 KB Output is correct
26 Correct 77 ms 564560 KB Output is correct
27 Correct 2159 ms 849556 KB Output is correct
28 Correct 2185 ms 849488 KB Output is correct
29 Correct 1218 ms 849100 KB Output is correct
30 Correct 1042 ms 849160 KB Output is correct
31 Correct 1060 ms 849360 KB Output is correct
32 Correct 77 ms 564560 KB Output is correct
33 Correct 76 ms 564560 KB Output is correct
34 Correct 75 ms 564560 KB Output is correct
35 Correct 90 ms 582060 KB Output is correct
36 Execution timed out 3047 ms 863516 KB Time limit exceeded
37 Halted 0 ms 0 KB -