結果

問題 No.573 a^2[i] = a[i]
ユーザー Common Lisp
提出日時 2024-11-16 19:21:44
言語 Common Lisp
(sbcl 2.5.0)
結果
AC  
実行時間 222 ms / 2,000 ms
コード長 2,040 bytes
コンパイル時間 1,709 ms
コンパイル使用メモリ 39,428 KB
実行使用メモリ 52,096 KB
最終ジャッジ日時 2024-11-16 19:21:54
合計ジャッジ時間 10,009 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
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
other AC * 47
権限があれば一括ダウンロードができます
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 16 NOV 2024 07:21:44 PM):

; wrote /home/judge/data/code/Main.fasl
; compilation finished in 0:00:00.091

ソースコード

diff # 

(defconstant +mod+ 1000000007)

(defun %mod-pow (a_ n_ m_)
  (let ((a a_)
        (n n_)
        (m m_)
        (res 1))
    (loop while (plusp n) do
          (unless (zerop (logand n 1))
                  (setq res (mod (* res a) m)))
          (setq a (mod (* a a) m))
          (setq n (ash n -1)))
    res))

(defun %mod-inverse (a_ m_)
  (let ((a a_)
        (m m_)
        (b m_)
        (u 1)
        (v 0))
    (loop while (plusp b) do
          (let ((s (floor a b)))
            (decf a (* s b)) (rotatef a b)
            (decf u (* s v)) (rotatef u v)))
    (mod u m)))

(defvar *mod-fact* (make-array 3000001 :element-type 'integer))
(defvar *mod-fact-inv* (make-array 3000001 :element-type 'integer))
(defvar *mod-inv* (make-array 3000001 :element-type 'integer))

(defun %init-mod-combination (n m)
  (setf (aref *mod-fact* 0) 1
        (aref *mod-fact-inv* n) 1
        (aref *mod-inv* 0) 1)
  (loop for i from 1 to n do
        (setf (aref *mod-fact* i) (mod (* i (aref *mod-fact* (1- i))) m)))
  (setf (aref *mod-fact-inv* n) (%mod-inverse (aref *mod-fact* n) m))
  (loop for i from (1- n) downto 0 do
        (setf (aref *mod-fact-inv* i) (mod (* (aref *mod-fact-inv* (1+ i)) (1+ i)) m)))
  (loop for i from 1 to n do
        (setf (aref *mod-inv* i) (mod (* (aref *mod-fact* (1- i)) (aref *mod-fact-inv* i)) m))))

(defun %mod-nCk (n k m)
  (if (or (minusp k) (< n k))
      0
      (mod (* (aref *mod-fact* n) (aref *mod-fact-inv* k) (aref *mod-fact-inv* (- n k))) m)))

(defun %mod-nPk (n k m)
  (if (or (minusp k) (< n k))
      0
      (mod (* (aref *mod-fact* n) (aref *mod-fact-inv* (- n k))) m)))

(defun %mod-nHk (n k m)
  (if (= n k 0)
      1
      (%mod-nCk (+ n k -1) k m)))

(defun main (&rest argv)
  (declare (ignorable argv))
  (let* ((n (read))
         (res 0))
    (%init-mod-combination 1000000 +mod+)
    (loop for i from 1 to n do
          (let ((a (mod (* (%mod-nCk n i +mod+) (%mod-pow i (- n i) +mod+)) +mod+)))
            (setq res (mod (+ res a) +mod+))))
    (format t "~d~%" res)))

(main)
0