;; -*- coding: utf-8 -*-
(eval-when (:compile-toplevel :load-toplevel :execute)
  (sb-int:defconstant-eqx OPT
    #+swank '(optimize (speed 3) (safety 2))
    #-swank '(optimize (speed 3) (safety 0) (debug 0))
    #'equal)
  #+swank (ql:quickload '(:cl-debug-print :fiveam) :silent t)
  #-swank (set-dispatch-macro-character
           #\# #\> (lambda (s c p) (declare (ignore c p)) (read s nil nil t))))
#+swank (cl-syntax:use-syntax cl-debug-print:debug-print-syntax)
#-swank (disable-debugger) ; for CS Academy

;; BEGIN_INSERTED_CONTENTS
(declaim (inline read-line-into))
(defun read-line-into (buffer-string &key (in *standard-input*) (term-char #\Space))
  "Receives ASCII inputs and returns multiple values: the string and the end
position.

This function calls READ-BYTE to read characters though it calls READ-CHAR
instead on SLIME because SLIME's IO is not bivalent."
  (declare (inline read-byte)
           #-swank (sb-kernel:ansi-stream in))
  (loop for c of-type base-char =
           #-swank (code-char (read-byte in nil #.(char-code #\Newline)))
           #+swank (read-char in nil #\Newline)
        for idx from 0
        until (char= c #\Newline)
        do (setf (char buffer-string idx) c)
        finally (when (< idx (length buffer-string))
                  (setf (char buffer-string idx) term-char))
                (return (values buffer-string idx))))

(defmacro dbg (&rest forms)
  #+swank
  (if (= (length forms) 1)
      `(format *error-output* "~A => ~A~%" ',(car forms) ,(car forms))
      `(format *error-output* "~A => ~A~%" ',forms `(,,@forms)))
  #-swank (declare (ignore forms)))

(defmacro define-int-types (&rest bits)
  `(progn
     ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "UINT~A" b)) () '(unsigned-byte ,b))) bits)
     ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "INT~A" b)) () '(signed-byte ,b))) bits)))
(define-int-types 2 4 7 8 15 16 31 32 62 63 64)

(declaim (inline println))
(defun println (obj &optional (stream *standard-output*))
  (let ((*read-default-float-format* 'double-float))
    (prog1 (princ obj stream) (terpri stream))))

(defconstant +mod+ 1000000007)

;;;
;;; Body
;;;

(defun main ()
  (declare #.OPT)
  (let* ((n (read))
         (s (let ((s (make-string n :element-type 'base-char)))
              (read-line-into s)))
         (q (read))
         (ks (make-array q :element-type 'uint32))
         (cumul-d (make-array (+ n 1) :element-type 'uint31))
         (cumul-m (make-array (+ n 1) :element-type 'uint31))
         (cumul-c (make-array (+ n 1) :element-type 'uint31))
         (cumul-dm (make-array (+ n 1) :element-type 'uint62)))
    (declare (uint31 n q)
             (simple-base-string s))
    (dotimes (i q)
      (setf (aref ks i) (read)))
    (dotimes (i n)
      (setf (aref cumul-d (+ i 1))
            (+ (aref cumul-d i)
               (if (char= #\D (aref s i)) 1 0)))
      (setf (aref cumul-m (+ i 1))
            (+ (aref cumul-m i)
               (if (char= #\M (aref s i)) 1 0)))
      (setf (aref cumul-c (+ i 1))
            (+ (aref cumul-c i)
               (if (char= #\C (aref s i)) 1 0))))
    (dotimes (i n)
      (setf (aref cumul-dm (+ i 1))
            (if (char= #\M (aref s i))
                (+ (aref cumul-dm i) (aref cumul-d i))
                (aref cumul-dm i))))
    (let ((total-dmc 0))
      (declare (uint62 total-dmc))
      (dotimes (i n)
        (when (char= #\M (aref s i))
          (incf total-dmc (* (aref cumul-d i)
                             (- (aref cumul-c n) (aref cumul-c i))))))
      (labels ((calc (k)
                 (let ((res 0))
                   (declare (uint62 res))
                   (dotimes (z n)
                     (when (char= #\C (aref s z))
                       (incf res (aref cumul-dm (max 0 (+ 1 (- z k)))))
                       (incf res (* (aref cumul-d (max 0 (+ 1 (- z k))))
                                    (- (aref cumul-m z)
                                       (aref cumul-m (max 0 (+ 1 (- z k)))))))))
                   res)))
        (sb-int:dovector (k ks)
          (println (- total-dmc (calc k))))))))

#-swank (main)


Measured memory_bytes: 39400