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Submission #847995

# Submission time Handle Problem Language Result Execution time Memory
847995 2023-09-11T00:44:42 Z resting Modern Machine (JOI23_ho_t5) C++17
36 / 100
 3000 ms 863128 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 < 2; 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;
      |                 ~~~~~~~~~~^~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 564460 KB Output is correct
2 Correct 77 ms 564364 KB Output is correct
3 Correct 76 ms 564468 KB Output is correct
4 Correct 76 ms 564560 KB Output is correct
5 Correct 78 ms 564560 KB Output is correct
6 Correct 77 ms 564560 KB Output is correct
7 Correct 79 ms 564520 KB Output is correct
8 Correct 78 ms 564560 KB Output is correct
9 Correct 76 ms 564444 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 564460 KB Output is correct
2 Correct 77 ms 564364 KB Output is correct
3 Correct 76 ms 564468 KB Output is correct
4 Correct 76 ms 564560 KB Output is correct
5 Correct 78 ms 564560 KB Output is correct
6 Correct 77 ms 564560 KB Output is correct
7 Correct 79 ms 564520 KB Output is correct
8 Correct 78 ms 564560 KB Output is correct
9 Correct 76 ms 564444 KB Output is correct
10 Correct 88 ms 582092 KB Output is correct
11 Correct 88 ms 582116 KB Output is correct
12 Correct 90 ms 582080 KB Output is correct
13 Correct 85 ms 582104 KB Output is correct
14 Correct 87 ms 582076 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 564460 KB Output is correct
2 Correct 77 ms 564364 KB Output is correct
3 Correct 76 ms 564468 KB Output is correct
4 Correct 76 ms 564560 KB Output is correct
5 Correct 78 ms 564560 KB Output is correct
6 Correct 77 ms 564560 KB Output is correct
7 Correct 79 ms 564520 KB Output is correct
8 Correct 78 ms 564560 KB Output is correct
9 Correct 76 ms 564444 KB Output is correct
10 Correct 88 ms 582092 KB Output is correct
11 Correct 88 ms 582116 KB Output is correct
12 Correct 90 ms 582080 KB Output is correct
13 Correct 85 ms 582104 KB Output is correct
14 Correct 87 ms 582076 KB Output is correct
15 Correct 77 ms 564564 KB Output is correct
16 Correct 77 ms 564496 KB Output is correct
17 Correct 75 ms 564560 KB Output is correct
18 Correct 524 ms 861076 KB Output is correct
19 Correct 575 ms 861468 KB Output is correct
20 Correct 642 ms 861828 KB Output is correct
21 Correct 718 ms 862640 KB Output is correct
22 Correct 591 ms 861396 KB Output is correct
23 Correct 589 ms 861828 KB Output is correct
24 Correct 455 ms 861256 KB Output is correct
25 Correct 451 ms 861156 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 79 ms 564556 KB Output is correct
2 Correct 2138 ms 849648 KB Output is correct
3 Correct 2020 ms 849144 KB Output is correct
4 Correct 1082 ms 849100 KB Output is correct
5 Correct 1099 ms 849208 KB Output is correct
6 Correct 1063 ms 849268 KB Output is correct

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 79 ms 564556 KB Output is correct
2 Correct 2138 ms 849648 KB Output is correct
3 Correct 2020 ms 849144 KB Output is correct
4 Correct 1082 ms 849100 KB Output is correct
5 Correct 1099 ms 849208 KB Output is correct
6 Correct 1063 ms 849268 KB Output is correct
7 Correct 77 ms 564560 KB Output is correct
8 Correct 77 ms 564560 KB Output is correct
9 Correct 76 ms 564560 KB Output is correct
10 Correct 86 ms 582088 KB Output is correct
11 Execution timed out 3044 ms 863128 KB Time limit exceeded
12 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 79 ms 564556 KB Output is correct
2 Correct 2138 ms 849648 KB Output is correct
3 Correct 2020 ms 849144 KB Output is correct
4 Correct 1082 ms 849100 KB Output is correct
5 Correct 1099 ms 849208 KB Output is correct
6 Correct 1063 ms 849268 KB Output is correct
7 Correct 76 ms 564560 KB Output is correct
8 Correct 76 ms 564544 KB Output is correct
9 Correct 75 ms 564556 KB Output is correct
10 Correct 76 ms 564384 KB Output is correct
11 Correct 77 ms 564560 KB Output is correct
12 Correct 77 ms 564540 KB Output is correct
13 Correct 76 ms 564560 KB Output is correct
14 Correct 78 ms 564552 KB Output is correct
15 Correct 79 ms 564560 KB Output is correct
16 Correct 76 ms 564560 KB Output is correct
17 Correct 87 ms 582092 KB Output is correct
18 Correct 525 ms 861264 KB Output is correct
19 Correct 2842 ms 862492 KB Output is correct
20 Execution timed out 3024 ms 862344 KB Time limit exceeded
21 Halted 0 ms 0 KB -

Subtask #7
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 564460 KB Output is correct
2 Correct 77 ms 564364 KB Output is correct
3 Correct 76 ms 564468 KB Output is correct
4 Correct 76 ms 564560 KB Output is correct
5 Correct 78 ms 564560 KB Output is correct
6 Correct 77 ms 564560 KB Output is correct
7 Correct 79 ms 564520 KB Output is correct
8 Correct 78 ms 564560 KB Output is correct
9 Correct 76 ms 564444 KB Output is correct
10 Correct 88 ms 582092 KB Output is correct
11 Correct 88 ms 582116 KB Output is correct
12 Correct 90 ms 582080 KB Output is correct
13 Correct 85 ms 582104 KB Output is correct
14 Correct 87 ms 582076 KB Output is correct
15 Correct 77 ms 564564 KB Output is correct
16 Correct 77 ms 564496 KB Output is correct
17 Correct 75 ms 564560 KB Output is correct
18 Correct 524 ms 861076 KB Output is correct
19 Correct 575 ms 861468 KB Output is correct
20 Correct 642 ms 861828 KB Output is correct
21 Correct 718 ms 862640 KB Output is correct
22 Correct 591 ms 861396 KB Output is correct
23 Correct 589 ms 861828 KB Output is correct
24 Correct 455 ms 861256 KB Output is correct
25 Correct 451 ms 861156 KB Output is correct
26 Correct 79 ms 564556 KB Output is correct
27 Correct 2138 ms 849648 KB Output is correct
28 Correct 2020 ms 849144 KB Output is correct
29 Correct 1082 ms 849100 KB Output is correct
30 Correct 1099 ms 849208 KB Output is correct
31 Correct 1063 ms 849268 KB Output is correct
32 Correct 77 ms 564560 KB Output is correct
33 Correct 77 ms 564560 KB Output is correct
34 Correct 76 ms 564560 KB Output is correct
35 Correct 86 ms 582088 KB Output is correct
36 Execution timed out 3044 ms 863128 KB Time limit exceeded
37 Halted 0 ms 0 KB -