Submission #847959

# Submission time Handle Problem Language Result Execution time Memory
847959 2023-09-10T23:49:26 Z resting Modern Machine (JOI23_ho_t5) C++17
36 / 100
3000 ms 1039680 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;
            //if (b == 0) return;
            //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;
            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 + (1 << i) <= t - 1) test(cur + (1 << i));
            }
            //cout << "asdf4 " << li << "," << ri << "," << cur << endl;
            //if (cur <= r)cout << "no" << endl;
        }

        for (int i = 0; i < 10; i++) if (cur <= r) thing(a[cur++]);
        //cout << li << "," << ri << "," << cur << endl;
        while (cur <= r) {
            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: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 (tmp1 + v1 >= ls.size()) return false;
      |                 ~~~~~~~~~~^~~~~~~~~~~~
Main.cpp:246:27: 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]
  246 |             if (tmp2 + v2 >= rs.size()) return false;
      |                 ~~~~~~~~~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 275 ms 1026136 KB Output is correct
2 Correct 255 ms 1026128 KB Output is correct
3 Correct 254 ms 1026128 KB Output is correct
4 Correct 252 ms 1026136 KB Output is correct
5 Correct 252 ms 1026092 KB Output is correct
6 Correct 253 ms 1026148 KB Output is correct
7 Correct 255 ms 1026132 KB Output is correct
8 Correct 249 ms 1026084 KB Output is correct
9 Correct 269 ms 1026136 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 275 ms 1026136 KB Output is correct
2 Correct 255 ms 1026128 KB Output is correct
3 Correct 254 ms 1026128 KB Output is correct
4 Correct 252 ms 1026136 KB Output is correct
5 Correct 252 ms 1026092 KB Output is correct
6 Correct 253 ms 1026148 KB Output is correct
7 Correct 255 ms 1026132 KB Output is correct
8 Correct 249 ms 1026084 KB Output is correct
9 Correct 269 ms 1026136 KB Output is correct
10 Correct 267 ms 1026896 KB Output is correct
11 Correct 271 ms 1026900 KB Output is correct
12 Correct 270 ms 1026900 KB Output is correct
13 Correct 269 ms 1026896 KB Output is correct
14 Correct 263 ms 1026920 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 275 ms 1026136 KB Output is correct
2 Correct 255 ms 1026128 KB Output is correct
3 Correct 254 ms 1026128 KB Output is correct
4 Correct 252 ms 1026136 KB Output is correct
5 Correct 252 ms 1026092 KB Output is correct
6 Correct 253 ms 1026148 KB Output is correct
7 Correct 255 ms 1026132 KB Output is correct
8 Correct 249 ms 1026084 KB Output is correct
9 Correct 269 ms 1026136 KB Output is correct
10 Correct 267 ms 1026896 KB Output is correct
11 Correct 271 ms 1026900 KB Output is correct
12 Correct 270 ms 1026900 KB Output is correct
13 Correct 269 ms 1026896 KB Output is correct
14 Correct 263 ms 1026920 KB Output is correct
15 Correct 256 ms 1026172 KB Output is correct
16 Correct 256 ms 1026204 KB Output is correct
17 Correct 262 ms 1026068 KB Output is correct
18 Correct 1451 ms 1037980 KB Output is correct
19 Correct 1545 ms 1038108 KB Output is correct
20 Correct 1557 ms 1038832 KB Output is correct
21 Correct 1644 ms 1039680 KB Output is correct
22 Correct 1531 ms 1038192 KB Output is correct
23 Correct 1524 ms 1038460 KB Output is correct
24 Correct 1386 ms 1037968 KB Output is correct
25 Correct 1373 ms 1037968 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 252 ms 1026132 KB Output is correct
2 Correct 2324 ms 1029772 KB Output is correct
3 Correct 2249 ms 1029724 KB Output is correct
4 Correct 1501 ms 1029924 KB Output is correct
5 Correct 1429 ms 1030252 KB Output is correct
6 Correct 1490 ms 1029712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 252 ms 1026132 KB Output is correct
2 Correct 2324 ms 1029772 KB Output is correct
3 Correct 2249 ms 1029724 KB Output is correct
4 Correct 1501 ms 1029924 KB Output is correct
5 Correct 1429 ms 1030252 KB Output is correct
6 Correct 1490 ms 1029712 KB Output is correct
7 Correct 260 ms 1026120 KB Output is correct
8 Correct 254 ms 1026196 KB Output is correct
9 Correct 254 ms 1026028 KB Output is correct
10 Correct 263 ms 1027208 KB Output is correct
11 Execution timed out 3053 ms 1039448 KB Time limit exceeded
12 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 252 ms 1026132 KB Output is correct
2 Correct 2324 ms 1029772 KB Output is correct
3 Correct 2249 ms 1029724 KB Output is correct
4 Correct 1501 ms 1029924 KB Output is correct
5 Correct 1429 ms 1030252 KB Output is correct
6 Correct 1490 ms 1029712 KB Output is correct
7 Correct 251 ms 1026132 KB Output is correct
8 Correct 257 ms 1026156 KB Output is correct
9 Correct 255 ms 1026132 KB Output is correct
10 Correct 253 ms 1026128 KB Output is correct
11 Correct 253 ms 1026136 KB Output is correct
12 Correct 253 ms 1026112 KB Output is correct
13 Correct 254 ms 1025984 KB Output is correct
14 Correct 253 ms 1026012 KB Output is correct
15 Correct 250 ms 1026132 KB Output is correct
16 Correct 251 ms 1026132 KB Output is correct
17 Correct 267 ms 1026896 KB Output is correct
18 Correct 1445 ms 1038184 KB Output is correct
19 Execution timed out 3044 ms 1038024 KB Time limit exceeded
20 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 275 ms 1026136 KB Output is correct
2 Correct 255 ms 1026128 KB Output is correct
3 Correct 254 ms 1026128 KB Output is correct
4 Correct 252 ms 1026136 KB Output is correct
5 Correct 252 ms 1026092 KB Output is correct
6 Correct 253 ms 1026148 KB Output is correct
7 Correct 255 ms 1026132 KB Output is correct
8 Correct 249 ms 1026084 KB Output is correct
9 Correct 269 ms 1026136 KB Output is correct
10 Correct 267 ms 1026896 KB Output is correct
11 Correct 271 ms 1026900 KB Output is correct
12 Correct 270 ms 1026900 KB Output is correct
13 Correct 269 ms 1026896 KB Output is correct
14 Correct 263 ms 1026920 KB Output is correct
15 Correct 256 ms 1026172 KB Output is correct
16 Correct 256 ms 1026204 KB Output is correct
17 Correct 262 ms 1026068 KB Output is correct
18 Correct 1451 ms 1037980 KB Output is correct
19 Correct 1545 ms 1038108 KB Output is correct
20 Correct 1557 ms 1038832 KB Output is correct
21 Correct 1644 ms 1039680 KB Output is correct
22 Correct 1531 ms 1038192 KB Output is correct
23 Correct 1524 ms 1038460 KB Output is correct
24 Correct 1386 ms 1037968 KB Output is correct
25 Correct 1373 ms 1037968 KB Output is correct
26 Correct 252 ms 1026132 KB Output is correct
27 Correct 2324 ms 1029772 KB Output is correct
28 Correct 2249 ms 1029724 KB Output is correct
29 Correct 1501 ms 1029924 KB Output is correct
30 Correct 1429 ms 1030252 KB Output is correct
31 Correct 1490 ms 1029712 KB Output is correct
32 Correct 260 ms 1026120 KB Output is correct
33 Correct 254 ms 1026196 KB Output is correct
34 Correct 254 ms 1026028 KB Output is correct
35 Correct 263 ms 1027208 KB Output is correct
36 Execution timed out 3053 ms 1039448 KB Time limit exceeded
37 Halted 0 ms 0 KB -