結果

問題 No.1269 I hate Fibonacci Number
ユーザー snrnsidysnrnsidy
提出日時 2021-06-14 00:14:53
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 7,596 bytes
コンパイル時間 2,299 ms
コンパイル使用メモリ 214,128 KB
実行使用メモリ 43,012 KB
最終ジャッジ日時 2023-08-25 03:20:35
合計ジャッジ時間 5,023 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge11
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
4,376 KB
testcase_01 AC 2 ms
4,380 KB
testcase_02 AC 3 ms
4,376 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 1 ms
4,380 KB
testcase_05 AC 2 ms
4,376 KB
testcase_06 AC 1 ms
4,380 KB
testcase_07 AC 1 ms
4,380 KB
testcase_08 AC 2 ms
4,380 KB
testcase_09 AC 2 ms
4,380 KB
testcase_10 AC 1 ms
4,380 KB
testcase_11 AC 2 ms
4,380 KB
testcase_12 AC 1 ms
4,376 KB
testcase_13 AC 46 ms
26,428 KB
testcase_14 AC 68 ms
32,936 KB
testcase_15 AC 16 ms
13,592 KB
testcase_16 AC 45 ms
20,964 KB
testcase_17 AC 3 ms
4,384 KB
testcase_18 AC 51 ms
24,408 KB
testcase_19 AC 47 ms
27,004 KB
testcase_20 AC 14 ms
10,488 KB
testcase_21 AC 32 ms
17,084 KB
testcase_22 AC 32 ms
18,736 KB
testcase_23 AC 38 ms
23,072 KB
testcase_24 AC 15 ms
9,260 KB
testcase_25 AC 26 ms
16,920 KB
testcase_26 AC 5 ms
5,292 KB
testcase_27 WA -
testcase_28 AC 8 ms
6,352 KB
testcase_29 AC 36 ms
25,984 KB
testcase_30 AC 21 ms
18,684 KB
testcase_31 AC 71 ms
28,856 KB
testcase_32 AC 20 ms
11,724 KB
testcase_33 AC 118 ms
43,012 KB
testcase_34 WA -
testcase_35 AC 27 ms
24,344 KB
testcase_36 AC 2 ms
4,380 KB
testcase_37 AC 1 ms
4,376 KB
testcase_38 AC 2 ms
4,380 KB
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ソースコード

diff # 

#include <bits/stdc++.h>

using namespace std;

template<char MIN_CHAR = 'a', int ALPHABET = 26>
struct AhoCorasick {
    struct node {
        // suff = the index of the node of the longest strict suffix of the current node that's also in the tree.
        //   Also see "blue arcs" on Wikipedia: https://en.wikipedia.org/wiki/Aho%E2%80%93Corasick_algorithm
        // dict = the index of the node of the longest strict suffix of the current node that's in the word list.
        //   Also see "green arcs" on Wikipedia.
        // depth = normal trie depth (root is 0). Can be removed to save memory.
        // word_index = the index of the *first* word ending at this node. -1 if none.
        // word_count = the total number of words ending at this node. Used in count_total_matches().
        // link = the trie connections and/or suffix connections from this node.
        int suff = -1, dict = -1, depth = 0;
        int word_index = -1, word_count = 0;
        int link[ALPHABET];

        node() {
            fill(link, link + ALPHABET, -1);
        }

        int& operator[](char c) {
            return link[c - MIN_CHAR];
        }
    };

    vector<node> nodes;
    int W;
    vector<int> word_location;
    vector<int> word_indices_by_depth;
    vector<int> defer;

    AhoCorasick(const vector<string>& words = {}) {
        if (!words.empty())
            build(words);
    }

    // Builds the adj list based on suffix parents. Often we want to perform DP and/or queries on this tree.
    vector<vector<int>> build_suffix_adj() const {
        vector<vector<int>> adj(nodes.size());

        for (int i = 1; i < int(nodes.size()); i++)
            adj[nodes[i].suff].push_back(i);

        return adj;
    }

    int get_or_add_child(int current, char c) {
        if (nodes[current][c] >= 0)
            return nodes[current][c];

        int index = int(nodes.size());
        nodes[current][c] = index;
        nodes.emplace_back();
        nodes.back().depth = nodes[current].depth + 1;
        return index;
    }

    int add_word(const string& word, int word_index) {
        assert(!nodes.empty());
        int current = 0;

        for (char c : word)
            current = get_or_add_child(current, c);

        if (nodes[current].word_index < 0)
            nodes[current].word_index = word_index;

        nodes[current].word_count++;
        return current;
    }

    // Returns where in the trie we should end up after starting at `location` and adding char `c`. Runs in O(1).
    int get_suffix_link(int location, char c) const {
        if (location >= 0)
            location = nodes[location].link[c - MIN_CHAR];

        return max(location, 0);
    }

    void build(const vector<string>& words) {
        nodes = { node() };
        W = int(words.size());
        word_location.resize(W);
        defer.resize(W);
        int max_depth = 0;

        for (int i = 0; i < W; i++) {
            word_location[i] = add_word(words[i], i);
            max_depth = max(max_depth, int(words[i].size()));
            defer[i] = nodes[word_location[i]].word_index;
        }

        // Create a list of word indices in decreasing order of depth, in linear time via counting sort.
        word_indices_by_depth.resize(W);
        vector<int> depth_freq(max_depth + 1, 0);

        for (int i = 0; i < W; i++)
            depth_freq[words[i].size()]++;

        for (int i = max_depth - 1; i >= 0; i--)
            depth_freq[i] += depth_freq[i + 1];

        for (int i = 0; i < W; i++)
            word_indices_by_depth[--depth_freq[words[i].size()]] = i;

        // Solve suffix parents by traversing in order of depth (BFS order).
        vector<int> q = { 0 };

        for (int i = 0; i < int(q.size()); i++) {
            int current = q[i];

            for (char c = MIN_CHAR; c < MIN_CHAR + ALPHABET; c++) {
                int& index = nodes[current][c];

                if (index >= 0) {
                    // Find index's suffix parent by traversing suffix parents of current until one of them has a child c.
                    int suffix_parent = get_suffix_link(nodes[current].suff, c);
                    nodes[index].suff = suffix_parent;
                    nodes[index].word_count += nodes[suffix_parent].word_count;
                    nodes[index].dict = nodes[suffix_parent].word_index < 0 ? nodes[suffix_parent].dict : suffix_parent;
                    q.push_back(index);
                }
                else {
                    index = get_suffix_link(nodes[current].suff, c);
                }
            }
        }
    }

    // Counts the number of matches of each word in O(text length + num words).
    vector<int> count_matches(const string& text) const {
        vector<int> matches(W, 0);
        int current = 0;

        for (char c : text) {
            current = get_suffix_link(current, c);
            int dict_node = nodes[current].word_index < 0 ? nodes[current].dict : current;

            if (dict_node >= 0)
                matches[nodes[dict_node].word_index]++;
        }

        // Iterate in decreasing order of depth.
        for (int word_index : word_indices_by_depth) {
            int location = word_location[word_index];
            int dict_node = nodes[location].dict;

            if (dict_node >= 0)
                matches[nodes[dict_node].word_index] += matches[word_index];
        }

        for (int i = 0; i < W; i++)
            matches[i] = matches[defer[i]];

        return matches;
    }

    // Counts the number of matches over all words at each ending position in `text` in O(text length).
    vector<int> count_matches_by_position(const string& text) const {
        vector<int> matches(text.size());
        int current = 0;

        for (int i = 0; i < int(text.size()); i++) {
            current = get_suffix_link(current, text[i]);
            matches[i] = nodes[current].word_count;
        }

        return matches;
    }

    // Counts the total number of matches of all words within `text` in O(text length).
    int64_t count_total_matches(const string& text) const {
        int64_t matches = 0;
        int current = 0;

        for (char c : text) {
            current = get_suffix_link(current, c);
            matches += nodes[current].word_count;
        }

        return matches;
    }
};

const long long int MOD = 1e9 + 7;
long long int dp[5005][1005];

int main(void)
{
    cin.tie(0);
    ios::sync_with_stdio(false);

    long long int n, L, R;
    vector <string> v;
    cin >> n >> L >> R;

    long long int f0 = 1;
    long long int f1 = 1;
    while (f0 <= R)
    {
        if (f0 >= L)
        {
            stringstream ss;
            ss << f0;
            v.push_back(ss.str());
        }
        long long int temp = f0 + f1;
        f1 = f0;
        f0 = temp;
    }

    AhoCorasick<'0', 10> aho(v);
    dp[0][0] = 1;
    for (int i = 0; i < n; i++)
    {
        for (int state = 0; state < aho.nodes.size(); state++)
        {
            for (int j = 0; j < 10; j++)
            {
                int nextstate = aho.get_suffix_link(state, '0' + j);
                if (aho.nodes[nextstate].word_count == 0)
                {
                    dp[i + 1][nextstate] += dp[i][state];
                    dp[i + 1][nextstate] %= MOD;
                }
            }
        }
    }

    long long int res = 0;

    for (int state = 0; state < aho.nodes.size(); state++)
    {
        res += dp[n][state];
        res %= MOD;
    }

    res -= 1;
    if (res < 0)
    {
        res += MOD;
    }
    cout << res << '\n';

    return 0;
}
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