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#280492#7780. Dark LaTeX vs. Light LaTeXucup-team1469#TL 739ms198548kbC++2012.4kb2023-12-09 16:29:162023-12-09 16:29:17

Judging History

你现在查看的是最新测评结果

  • [2024-11-25 20:53:52]
  • hack成功,自动添加数据
  • (/hack/1258)
  • [2023-12-09 16:29:17]
  • 评测
  • 测评结果:TL
  • 用时:739ms
  • 内存:198548kb
  • [2023-12-09 16:29:16]
  • 提交

answer

#line 1 "main.cpp"
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tag_and_trait.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// namespace gt = __gnu_pbds;
#define IS_MULTITEST 0

using namespace std;

// #include "angel/math/modint.hpp"
#line 1 "/Library/atcoder/string.hpp"



#line 9 "/Library/atcoder/string.hpp"

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


#line 12 "main.cpp"

#pragma region Macros
// clang-format off
using ll = long long; using uint = unsigned int; using ull = unsigned long long;
using i32 = int; using i64 = ll; using u32 = uint; using u64 = ull;
using i128 = __int128_t; using u128 = __uint128_t;
using Str = string;
template <class T> using Vec = vector<T>;
template <class T> using RevPriq = priority_queue<T, vector<T>, greater<T>>;
constexpr std::array<std::pair<int, int>, 4> dxy4 = {{{-1, 0}, {0, 1}, {1, 0}, {0, -1}}};
constexpr std::array<std::pair<int, int>, 8> dxy8 = {
    {{-1, -1}, {-1, 0}, {-1, 1}, {0, 1}, {1, 1}, {1, 0}, {1, -1}, {0, -1}}};
constexpr int inf32 = 1 << 30; constexpr ll inf64 = 1ll << 60;
constexpr char eoln = '\n';
#define L(i, l, r) for (int i = (l); i < (r); ++i)
#define R(i, l, r) for (int i = (r) - 1; i >= (l); --i)
#define ALL(x) (x).begin(), (x).end()
#define mem(a, x) memset((a), (x), sizeof(a))
#define sz(a) (int)((a).size())
#define fi first
#define se second
#define pb push_back
#define mp make_pair
// clang-format on
#pragma endregion

// Coding Space

// vars

// funcs

class Trie {
  public:
    Vec<int> s;
    int sid;
    struct Node {
        Node *next[26];
        int sub, id;
        Node() : sub(0) {
            for (int i = 0; i < 26; i++) {
                next[i] = nullptr;
            }
        }
    };
    Node *root;
    Trie() {
        root = new Node();
        sid = 0;
    }
    // Trie木にxを加える
    void add(string s) {
        Node *curr = root;
        for (int i = 0; i < (int)s.size(); i++) {
            int y = s[i] - 'a';
            if (!curr->next[y]) {
                curr->next[y] = new Node();
            }
            curr->sub++;
            curr = curr->next[y];
        }
        curr->sub++;
    }
    // 何らかのクエリ

    void dfs(Node *cur) {
        cur->id = sid;
        s.pb(cur->sub);
        ++sid;
        for (int i = 0; i < 26; ++i) {
            if (!cur->next[i]) continue;
            dfs(cur->next[i]);
        }
        s.pb(-(cur->sub));
        ++sid;
    }

    void ad() {
        L(i, 1, sz(s)) s[i] += s[i - 1];
    }

    int query(Node *curr, int d) {
        int res = 0;
        for (int i = 0; i < 26; i++) {
            if (curr->next[i]) {
                res += query(curr->next[i], d + 1);
            }
        }
        return res;
    }
    int query() {
        return query(root, 0);
    }
};

void main_() {
    auto sol = [&](Str a, Str b) -> ll {
        int N = sz(a), M = sz(b);
        Vec<Vec<int>> csame(M);
        reverse(ALL(b));
        L(m, 0, M) {
            auto z = atcoder::z_algorithm(b.substr(m, M - m));
            Vec<int> u(m, 0);
            copy(ALL(z), back_inserter(u));
            z = move(u);
            reverse(ALL(z));
            csame[M - m - 1].resize(M);
            L(i, 0, M) {
                csame[M - m - 1][i] = z[i];
            }
        }
        reverse(ALL(b));
        Trie tree;
        L(i, 0, N) {
            tree.add(a.substr(i, N - i));
        }
        tree.dfs(tree.root);
        tree.ad();

        ll res = 0;
        Vec<int> ids(M + 1);
        L(l, 0, M) {
            int sid = 1;
            Trie::Node *cur = tree.root;
            bool ok = true;
            L(r, l, M) {
                if (ok and cur->next[b[r] - 'a'] != nullptr) {
                    cur = cur->next[b[r] - 'a'];
                    ids[sid++] = cur->id;
                    ids.pb(cur->id);
                } else {
                    ok = false;
                }
                int mx = l == 0 ? 0 : min(r - l, csame[r][l - 1]);
                int u = r - l + 1 - mx, v = r - l + 1;
                ll val = tree.s[ids[min(v, sid - 1)]] - (u == 0 ? 0 : tree.s[ids[min(u - 1, sid - 1)]]);
                res += val;
            }
        }

        return res;
    };

    Str S, T;
    cin >> S >> T;
    ll ans = sol(S, T) + sol(T, S);
    int N = sz(S), M = sz(T);
    L(i, 0, N) {
        auto z = atcoder::z_algorithm(S.substr(i, N - i) + 'A' + T);
        L(j, 0, M) {
            int val = z[N - i + 1 + j];
            ans -= val;
        }
    }

    cout << ans << endl;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    if constexpr (IS_MULTITEST == 0) {
        main_();
    } else {
        // multitest (cf-style)
        int T;
        cin >> T;
        while (T--) {
            main_();
            cout << flush;
        }
    }
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3904kb

input:

abab
ab

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

abab
abaaab

output:

29

result:

ok 1 number(s): "29"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3896kb

input:

abcd
abcde

output:

10

result:

ok 1 number(s): "10"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

aaba
ba

output:

6

result:

ok 1 number(s): "6"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3808kb

input:

babababaaabbaabababbbaabbbababbaaaaa
aaaabbaababbab

output:

1161

result:

ok 1 number(s): "1161"

Test #6:

score: 0
Accepted
time: 739ms
memory: 198548kb

input:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa...

output:

78156256250000

result:

ok 1 number(s): "78156256250000"

Test #7:

score: 0
Accepted
time: 92ms
memory: 116700kb

input:

gzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggzggzgzggzggzgzggzgzggz...

output:

60716448

result:

ok 1 number(s): "60716448"

Test #8:

score: 0
Accepted
time: 83ms
memory: 116492kb

input:

mlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllmllmlmllmllmlmllmlmllmllmlmllmlmllml...

output:

60679828

result:

ok 1 number(s): "60679828"

Test #9:

score: -100
Time Limit Exceeded

input:

vbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvbbvbvbbvbbvbvbbvbvbbvb...

output:


result: