Submission #760881

#	Time	Username	Problem	Language	Result	Execution time	Memory
760881		Valera_Grinenko	Selling RNA Strands (JOI16_selling_rna)	C++17	60 / 100	1552 ms	342160 KiB

selling_rna

#pragma GCC optimize("Ofast", "unroll-loops")
//#pragma GCC target("sse", "sse2", "sse3", "ssse3", "sse4")

#ifdef __APPLE__

#include <iostream>
#include <cmath>
#include <algorithm>
#include <stdio.h>
#include <cstdint>
#include <cstring>
#include <string>
#include <cstdlib>
#include <vector>
#include <bitset>
#include <map>
#include <queue>
#include <ctime>
#include <stack>
#include <set>
#include <list>
#include <random>
#include <deque>
#include <functional>
#include <iomanip>
#include <sstream>
#include <fstream>
#include <complex>
#include <numeric>
#include <cassert>
#include <array>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <thread>

#else
#include <bits/stdc++.h>
#endif

#define all(a) a.begin(),a.end()
#define len(a) (int)(a.size())
#define mp make_pair
#define pb push_back
#define fir first
#define sec second
#define fi first
#define se second

using namespace std;

typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;

template<typename T>
bool umin(T &a, T b) {
    if (b < a) {
        a = b;
        return true;
    }
    return false;
}

template<typename T>
bool umax(T &a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

#if __APPLE__
#define D for (bool _FLAG = true; _FLAG; _FLAG = false)
#define LOG(...) print(#__VA_ARGS__" ::", __VA_ARGS__) << endl

template<class ...Ts>
auto &print(Ts ...ts) { return ((cerr << ts << " "), ...); }

#else
#define D while (false)
#define LOG(...)
#endif

//mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

namespace atcoder {

    namespace internal {

        std::vector<int> sa_naive(const std::vector<int>& s) {
            int n = int(s.size());
            std::vector<int> sa(n);
            std::iota(sa.begin(), sa.end(), 0);
            std::sort(sa.begin(), sa.end(), [&](int l, int r) {
                if (l == r) return false;
                while (l < n && r < n) {
                    if (s[l] != s[r]) return s[l] < s[r];
                    l++;
                    r++;
                }
                return l == n;
            });
            return sa;
        }

        std::vector<int> sa_doubling(const std::vector<int>& s) {
            int n = int(s.size());
            std::vector<int> sa(n), rnk = s, tmp(n);
            std::iota(sa.begin(), sa.end(), 0);
            for (int k = 1; k < n; k *= 2) {
                auto cmp = [&](int x, int y) {
                    if (rnk[x] != rnk[y]) return rnk[x] < rnk[y];
                    int rx = x + k < n ? rnk[x + k] : -1;
                    int ry = y + k < n ? rnk[y + k] : -1;
                    return rx < ry;
                };
                std::sort(sa.begin(), sa.end(), cmp);
                tmp[sa[0]] = 0;
                for (int i = 1; i < n; i++) {
                    tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
                }
                std::swap(tmp, rnk);
            }
            return sa;
        }

// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
        template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
        std::vector<int> sa_is(const std::vector<int>& s, int upper) {
            int n = int(s.size());
            if (n == 0) return {};
            if (n == 1) return {0};
            if (n == 2) {
                if (s[0] < s[1]) {
                    return {0, 1};
                } else {
                    return {1, 0};
                }
            }
            if (n < THRESHOLD_NAIVE) {
                return sa_naive(s);
            }
            if (n < THRESHOLD_DOUBLING) {
                return sa_doubling(s);
            }

            std::vector<int> sa(n);
            std::vector<bool> ls(n);
            for (int i = n - 2; i >= 0; i--) {
                ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
            }
            std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
            for (int i = 0; i < n; i++) {
                if (!ls[i]) {
                    sum_s[s[i]]++;
                } else {
                    sum_l[s[i] + 1]++;
                }
            }
            for (int i = 0; i <= upper; i++) {
                sum_s[i] += sum_l[i];
                if (i < upper) sum_l[i + 1] += sum_s[i];
            }

            auto induce = [&](const std::vector<int>& lms) {
                std::fill(sa.begin(), sa.end(), -1);
                std::vector<int> buf(upper + 1);
                std::copy(sum_s.begin(), sum_s.end(), buf.begin());
                for (auto d : lms) {
                    if (d == n) continue;
                    sa[buf[s[d]]++] = d;
                }
                std::copy(sum_l.begin(), sum_l.end(), buf.begin());
                sa[buf[s[n - 1]]++] = n - 1;
                for (int i = 0; i < n; i++) {
                    int v = sa[i];
                    if (v >= 1 && !ls[v - 1]) {
                        sa[buf[s[v - 1]]++] = v - 1;
                    }
                }
                std::copy(sum_l.begin(), sum_l.end(), buf.begin());
                for (int i = n - 1; i >= 0; i--) {
                    int v = sa[i];
                    if (v >= 1 && ls[v - 1]) {
                        sa[--buf[s[v - 1] + 1]] = v - 1;
                    }
                }
            };

            std::vector<int> lms_map(n + 1, -1);
            int m = 0;
            for (int i = 1; i < n; i++) {
                if (!ls[i - 1] && ls[i]) {
                    lms_map[i] = m++;
                }
            }
            std::vector<int> lms;
            lms.reserve(m);
            for (int i = 1; i < n; i++) {
                if (!ls[i - 1] && ls[i]) {
                    lms.push_back(i);
                }
            }

            induce(lms);

            if (m) {
                std::vector<int> sorted_lms;
                sorted_lms.reserve(m);
                for (int v : sa) {
                    if (lms_map[v] != -1) sorted_lms.push_back(v);
                }
                std::vector<int> rec_s(m);
                int rec_upper = 0;
                rec_s[lms_map[sorted_lms[0]]] = 0;
                for (int i = 1; i < m; i++) {
                    int l = sorted_lms[i - 1], r = sorted_lms[i];
                    int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
                    int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
                    bool same = true;
                    if (end_l - l != end_r - r) {
                        same = false;
                    } else {
                        while (l < end_l) {
                            if (s[l] != s[r]) {
                                break;
                            }
                            l++;
                            r++;
                        }
                        if (l == n || s[l] != s[r]) same = false;
                    }
                    if (!same) rec_upper++;
                    rec_s[lms_map[sorted_lms[i]]] = rec_upper;
                }

                auto rec_sa =
                        sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);

                for (int i = 0; i < m; i++) {
                    sorted_lms[i] = lms[rec_sa[i]];
                }
                induce(sorted_lms);
            }
            return sa;
        }

    }  // namespace internal

    std::vector<int> suffix_array(const std::vector<int>& s, int upper) {
        assert(0 <= upper);
        for (int d : s) {
            assert(0 <= d && d <= upper);
        }
        auto sa = internal::sa_is(s, upper);
        return sa;
    }

    template <class T> std::vector<int> suffix_array(const std::vector<T>& s) {
        int n = int(s.size());
        std::vector<int> idx(n);
        iota(idx.begin(), idx.end(), 0);
        sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
        std::vector<int> s2(n);
        int now = 0;
        for (int i = 0; i < n; i++) {
            if (i && s[idx[i - 1]] != s[idx[i]]) now++;
            s2[idx[i]] = now;
        }
        return internal::sa_is(s2, now);
    }

    std::vector<int> suffix_array(const std::string& s) {
        int n = int(s.size());
        std::vector<int> s2(n);
        for (int i = 0; i < n; i++) {
            s2[i] = s[i];
        }
        return internal::sa_is(s2, 255);
    }

// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
    template <class T>
    std::vector<int> lcp_array(const std::vector<T>& s,
                               const std::vector<int>& sa) {
        int n = int(s.size());
        assert(n >= 1);
        std::vector<int> rnk(n);
        for (int i = 0; i < n; i++) {
            rnk[sa[i]] = i;
        }
        std::vector<int> lcp(n - 1);
        int h = 0;
        for (int i = 0; i < n; i++) {
            if (h > 0) h--;
            if (rnk[i] == 0) continue;
            int j = sa[rnk[i] - 1];
            for (; j + h < n && i + h < n; h++) {
                if (s[j + h] != s[i + h]) break;
            }
            lcp[rnk[i] - 1] = h;
        }
        return lcp;
    }

    std::vector<int> lcp_array(const std::string& s, const std::vector<int>& sa) {
        int n = int(s.size());
        std::vector<int> s2(n);
        for (int i = 0; i < n; i++) {
            s2[i] = s[i];
        }
        return lcp_array(s2, sa);
    }

// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
    template <class T> std::vector<int> z_algorithm(const std::vector<T>& s) {
        int n = int(s.size());
        if (n == 0) return {};
        std::vector<int> z(n);
        z[0] = 0;
        for (int i = 1, j = 0; i < n; i++) {
            int& k = z[i];
            k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
            while (i + k < n && s[k] == s[i + k]) k++;
            if (j + z[j] < i + z[i]) j = i;
        }
        z[0] = n;
        return z;
    }

    std::vector<int> z_algorithm(const std::string& s) {
        int n = int(s.size());
        std::vector<int> s2(n);
        for (int i = 0; i < n; i++) {
            s2[i] = s[i];
        }
        return z_algorithm(s2);
    }

}  // namespace atcoder

const int max_n_st = 2e6 * 5;

template<typename T>
struct segment_tree_min {
    T mn[4 * max_n_st];

    void build(int v, int l, int r, vector<T>& a) {
        if (l == r) {
            if(l < len(a)) mn[v] = a[l];
            else mn[v] = -1;
            return;
        }
        int mid = (l + r) / 2;
        build(2 * v, l, mid, a);
        build(2 * v + 1, mid + 1, r, a);
        mn[v] = min(mn[2 * v], mn[2 * v + 1]);
    }

    void update(int v, int l, int r, int pos, T value) {
        if (l == r) {
            mn[v] = value;
            return;
        }
        int mid = (l + r) / 2;
        if (pos <= mid) {
            update(2 * v, l, mid, pos, value);
        } else {
            update(2 * v + 1, mid + 1, r, pos, value);
        }
        mn[v] = min(mn[2 * v], mn[2 * v + 1]);
    }

    T get_min(int v, int tl, int tr, int l, int r) {
        if (tl == l && tr == r) {
            return mn[v];
        }
        int mid = (tl + tr) / 2;
        if (r <= mid) {
            return get_min(2 * v, tl, mid, l, r);
        } else if (l > mid) {
            return get_min(2 * v + 1, mid + 1, tr, l, r);
        }
        return min(get_min(2 * v, tl, mid, l, mid), get_min(2 * v + 1, mid + 1, tr, mid + 1, r));
    }
};

template<typename T>
struct fenw_sum {
    T sum[max_n_st];

    void _add(int point, T x) {
        for(; point < max_n_st; point += (point & -point)) sum[point] += x;
    }

    void add(int point, T x) {
        _add(point + 1, x);
    }

    T _get(int point) {
        T res = 0;
        for(; point > 0; point -= (point & -point)) res += sum[point];
        return res;
    }

    T get(int l, int r) {
        return _get(r + 1) - _get(l);
    }

};

const int max_len = 1e5 + 42;

vector<int> queries[max_len];

void solve() {
    int n, m;
    cin >> n >> m;
    string conc;
    vector<string> s(n), r(m), q(m);
    vector<int> st1(n), st2(m);
    vector<pair<int, int> > av;
    for(int i = 0; i < n; i++) {
        cin >> s[i];
        conc += s[i];
        st1[i] = len(conc);
        conc += s[i];
        conc += '.';
        av.pb({len(s[i]), st1[i]});
    }
    sort(all(av)); reverse(all(av));
    for(int i = 0; i < m; i++) {
        cin >> r[i] >> q[i];
        st2[i] = len(conc);
        conc += q[i]; conc += r[i];
        conc += '.';
        queries[len(q[i])].pb(i);
    }
    auto sufarr = atcoder::suffix_array(conc);
    auto lcp = atcoder::lcp_array(conc, sufarr);
    reverse(all(lcp)); lcp.pb(0); reverse(all(lcp));
    segment_tree_min<int> stmn = {}; stmn.build(1, 0, max_n_st - 1, lcp);
    fenw_sum<int> fwsum = {};
    vector<int> inv(len(conc));
    for(int i = 0; i < len(conc); i++) {
        inv[sufarr[i]] = i;
    }
    for(int i = 0; i < n; i++) fwsum.add(inv[st1[i]], 1);
    vector<int> ans(m, -1);
    for(int len = 1; len < max_len; len++) {
        for(auto& x : av) fwsum.add(inv[x.se - (len - 1)], -1);
        while(!av.empty() && av.back().fi < len) av.pop_back();
        for(auto& x : av) fwsum.add(inv[x.se - len], 1);
        for(auto& curq : queries[len]) {
            int need = len(r[curq]) + len(q[curq]);
            int L = -1, R = -1;
            int lb = 0, rb = inv[st2[curq]];
            while(lb < rb) {
                int mb = (lb + rb) / 2;
                if(stmn.get_min(1, 0, max_n_st - 1, mb + 1, inv[st2[curq]]) < need) lb = mb + 1;
                else rb = mb;
            }
            L = lb;
            lb = inv[st2[curq]], rb = len(conc) - 1;
            while(lb < rb) {
                int mb = (lb + rb + 1) / 2;
                if(stmn.get_min(1, 0, max_n_st - 1, inv[st2[curq]] + 1, mb) < need) rb = mb - 1;
                else lb = mb;
            }
            R = lb;
//            cout << curq << '\n';
//            cout << L << ' ' << R << '.' << inv[st2[curq]] << '\n';
            ans[curq] = fwsum.get(L, R);
        }
    }
    for(int i = 0; i < m; i++) cout << ans[i] << '\n';
}

signed main() {
//   freopen("input.txt", "r", stdin);
//   freopen("output.txt", "w", stdout);

    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    int t = 1;

    //cin >> t;

    while (t--) solve();

}

/*
KIVI
*/

• Subtask 1: 10 / 10
• Subtask 2: 25 / 25
• Subtask 3: 25 / 25
• Subtask 4: 0 / 40