;; -*- 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 (ftype (function * (values fixnum &optional)) read-fixnum)) (defun read-fixnum (&optional (in *standard-input*)) (declare #.OPT) (macrolet ((%read-byte () `(the (unsigned-byte 8) #+swank (char-code (read-char in nil #\Nul)) #-swank (sb-impl::ansi-stream-read-byte in nil #.(char-code #\Nul) nil)))) (let* ((minus nil) (result (loop (let ((byte (%read-byte))) (cond ((<= 48 byte 57) (return (- byte 48))) ((zerop byte) ; #\Nul (error "Read EOF or #\Nul.")) ((= byte #.(char-code #\-)) (setf minus t))))))) (declare ((integer 0 #.most-positive-fixnum) result)) (loop (let* ((byte (%read-byte))) (if (<= 48 byte 57) (setq result (+ (- byte 48) (* 10 (the (integer 0 #.(floor most-positive-fixnum 10)) result)))) (return (if minus (- result) result)))))))) ;;; ;;; Disjoint sparse table on arbitrary semigroup ;;; ;;; Reference: ;;; https://discuss.codechef.com/questions/117696/tutorial-disjoint-sparse-table ;;; http://noshi91.hatenablog.com/entry/2018/05/08/183946 (Japanese) ;;; http://drken1215.hatenablog.com/entry/2018/09/08/162600 (Japanese) ;; NOTE: This constructor is slow on SBCL version earlier than 1.5.6 as the type ;; propagation of MAKE-ARRAY doesn't work. The following files are required to ;; enable the optimization. ;; version < 1.5.0: array-element-type.lisp, make-array-header.lisp ;; version < 1.5.6: make-array-header.lisp (declaim (inline make-disjoint-sparse-table)) (defun make-disjoint-sparse-table (vector binop) "BINOP := binary operator (comprising a semigroup)" (let* ((n (length vector)) (height (integer-length (- n 1))) (table (make-array (list height n) :element-type '(unsigned-byte 32)))) (dotimes (j n) (setf (aref table 0 j) (aref vector j))) (do ((i 1 (+ i 1))) ((>= i height)) (let* ((width/2 (ash 1 i)) (width (* width/2 2))) (do ((j 0 (+ j width))) ((>= j n)) (let ((mid (min (+ j width/2) n))) ;; fill the first half (setf (aref table i (- mid 1)) (aref vector (- mid 1))) (do ((k (- mid 2) (- k 1))) ((< k j)) (setf (aref table i k) (funcall binop (aref vector k) (aref table i (+ k 1))))) (when (>= mid n) (return)) ;; fill the second half (setf (aref table i mid) (aref vector mid)) (let ((end (min n (+ mid width/2)))) (do ((k (+ mid 1) (+ k 1))) ((>= k end)) (setf (aref table i k) (funcall binop (aref table i (- k 1)) (aref vector k))))))))) table)) (declaim (inline dst-query)) (defun dst-query (table binop left right &optional identity) "Queries the interval [LEFT, RIGHT). Returns IDENTITY for a null interval [x, x)." (declare ((integer 0 #.most-positive-fixnum) left right) ((simple-array * (* *)) table)) (when (>= left right) (assert (= left right)) (return-from dst-query identity)) (setq right (- right 1)) ;; change to closed interval (if (= left right) (aref table 0 left) (let ((h (- (integer-length (logxor left right)) 1))) (funcall binop (aref table h left) (aref table h right))))) (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 () (let* ((n (read)) (as (make-array n :element-type 'uint32))) (dotimes (i n) (setf (aref as i) (read-fixnum))) (let* ((q (read)) (xs (make-array q :element-type 'uint32)) (deltas (make-array q :element-type 'fixnum :initial-element 0))) (dotimes (i q) (setf (aref xs i) (read-fixnum))) (let ((dtable (make-disjoint-sparse-table xs #'min))) (declare ((simple-array uint32 (* *)) dtable)) (dotimes (i n) (let ((value (aref as i)) (prev-pos 0)) (declare (fixnum value prev-pos)) ;; (terpri) (loop (unless (<= (dst-query dtable #'min prev-pos q #xffffffff) value) (return)) (let* ((new-pos (sb-int:named-let bisect ((ng prev-pos) (ok q)) (declare (int32 ng ok)) (if (<= (- ok ng) 1) (- ok 1) (let* ((mid (ash (+ ng ok) -1)) (min (dst-query dtable #'min prev-pos mid #xffffffff))) (if (<= min value) (bisect ng mid) (bisect mid ok)))))) (new-value (mod value (aref xs new-pos)))) (decf (aref deltas new-pos) (- value new-value)) (setq prev-pos new-pos value new-value)))))) (let ((sum (reduce #'+ as))) (dotimes (i q) (incf sum (aref deltas i)) (println sum)))))) #-swank (main)