結果

問題 No.1269 I hate Fibonacci Number
ユーザー lam6er
提出日時 2025-04-09 20:58:09
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 695 ms / 3,000 ms
コード長 3,227 bytes
コンパイル時間 577 ms
コンパイル使用メモリ 81,792 KB
実行使用メモリ 77,808 KB
最終ジャッジ日時 2025-04-09 21:00:10
合計ジャッジ時間 9,270 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge2
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
sample AC * 3
other AC * 36
権限があれば一括ダウンロードができます

ソースコード

diff # 

import sys
from collections import deque

MOD = 10**9 + 7

def generate_fib(L, R):
    fibs = set()
    a, b = 1, 1
    while a <= R:
        if a >= L:
            fibs.add(str(a))
        a, b = b, a + b
    return fibs

def build_automaton(patterns):
    nodes = [{'children': {}, 'fail': 0, 'danger': False}]
    root = 0

    for pattern in patterns:
        current = root
        for c in pattern:
            if c not in nodes[current]['children']:
                new_node = len(nodes)
                nodes.append({'children': {}, 'fail': 0, 'danger': False})
                nodes[current]['children'][c] = new_node
            current = nodes[current]['children'][c]
        nodes[current]['danger'] = True

    queue = deque()
    for c in nodes[root]['children']:
        child = nodes[root]['children'][c]
        nodes[child]['fail'] = root
        queue.append(child)

    while queue:
        u_idx = queue.popleft()
        u = nodes[u_idx]
        for c, child_idx in u['children'].items():
            fail = u['fail']
            while fail != root and c not in nodes[fail]['children']:
                fail = nodes[fail]['fail']
            child_fail = nodes[fail]['children'].get(c, root)
            nodes[child_idx]['fail'] = child_fail
            if nodes[child_fail]['danger']:
                nodes[child_idx]['danger'] = True
            queue.append(child_idx)

    trans_table = [{} for _ in range(len(nodes))]
    for u_idx in range(len(nodes)):
        for c in '0123456789':
            v_idx = u_idx
            while True:
                if c in nodes[v_idx]['children']:
                    trans_table[u_idx][c] = nodes[v_idx]['children'][c]
                    break
                else:
                    if v_idx == root:
                        trans_table[u_idx][c] = root
                        break
                    v_idx = nodes[v_idx]['fail']

    danger = [False] * len(nodes)
    for u_idx in range(len(nodes)):
        current = u_idx
        while True:
            if nodes[current]['danger']:
                danger[u_idx] = True
                break
            if current == root:
                break
            current = nodes[current]['fail']
    
    return trans_table, danger

def main():
    N, L, R = map(int, sys.stdin.readline().split())
    fibs = generate_fib(L, R)
    if not fibs:
        allowed_chars = 9 * (10**(N) - 1) // 9
        print(allowed_chars % MOD)
        return
    trans_table, danger = build_automaton(fibs)
    len_nodes = len(trans_table)
    dp_prev = [0] * len_nodes
    dp_prev[0] = 1
    total = 0
    for step in range(N):
        dp_next = [0] * len_nodes
        for u in range(len_nodes):
            if dp_prev[u] == 0:
                continue
            if step == 0:
                chars = [str(d) for d in range(1, 10)]
            else:
                chars = [str(d) for d in range(10)]
            for c in chars:
                v = trans_table[u][c]
                if danger[v]:
                    continue
                dp_next[v] = (dp_next[v] + dp_prev[u]) % MOD
        dp_prev = dp_next
        total = (total + sum(dp_prev)) % MOD
    print(total % MOD)

if __name__ == "__main__":
    main()
0