(in-package :cl-user) (eval-when (:compile-toplevel :load-toplevel :execute) (defparameter *opt* #+swank '(optimize (speed 3) (safety 2)) #-swank '(optimize (speed 3) (safety 0) (debug 0))) #+swank (ql:quickload '(:cl-debug-print :fiveam :cp/util) :silent t) #+swank (use-package :cp/util :cl-user) #-swank (set-dispatch-macro-character #\# #\> (lambda (s c p) (declare (ignore c p)) `(values ,(read s nil nil t)))) #+sbcl (setq *random-state* (seed-random-state (nth-value 1 (get-time-of-day))))) #-swank (eval-when (:compile-toplevel) (setq *break-on-signals* '(and warning (not style-warning)))) #+swank (set-dispatch-macro-character #\# #\> #'cl-debug-print:debug-print-reader) (macrolet ((def (b) `(progn (deftype ,(intern (format nil "UINT~A" b)) () '(unsigned-byte ,b)) (deftype ,(intern (format nil "INT~A" b)) () '(signed-byte ,b)))) (define-int-types (&rest bits) `(progn ,@(mapcar (lambda (b) `(def ,b)) bits)))) (define-int-types 2 4 7 8 15 16 31 32 62 63 64)) (defconstant +mod+ 1000000007) (defmacro dbg (&rest forms) (declare (ignorable forms)) #+swank (if (= (length forms) 1) `(format *error-output* "~A => ~A~%" ',(car forms) ,(car forms)) `(format *error-output* "~A => ~A~%" ',forms `(,,@forms)))) (declaim (inline println)) (defun println (obj &optional (stream *standard-output*)) (let ((*read-default-float-format* (if (typep obj 'double-float) 'double-float *read-default-float-format*))) (prog1 (princ obj stream) (terpri stream)))) ;; BEGIN_INSERTED_CONTENTS (defpackage :cp/read-fixnum (:use :cl) (:export #:read-fixnum)) (in-package :cp/read-fixnum) (declaim (ftype (function * (values fixnum &optional)) read-fixnum)) (defun read-fixnum (&optional (in *standard-input*)) "NOTE: cannot read -2^62" (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 #\-)) (setq 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)))))))) (defpackage :cp/bisect (:use :cl) (:export #:bisect-left #:bisect-right)) (in-package :cp/bisect) (declaim (inline bisect-left)) (defun bisect-left (target value &key (start 0) end (order #'<) (key #'identity)) "TARGET := vector | function (taking an integer argument) ORDER := strict order Analogue of lower_bound() of C++ or bisect_left() of Python: Returns the smallest index (or input) i that fulfills TARGET[i] >= VALUE, where '>=' is the complement of ORDER. In other words, this function returns the leftmost index at which VALUE can be inserted with keeping the order. Therefore, TARGET must be monotonically non-decreasing with respect to ORDER. - This function returns END if VALUE exceeds TARGET[END-1]. - The range [START, END) is half-open. - END must be explicitly specified if TARGET is function. - KEY is applied to each element of TARGET before comparison." (declare (integer start) ((or null integer) end)) (macrolet ((frob (accessor &optional declaration) `(labels ((%bisect-left (ng ok) ;; TARGET[OK] >= VALUE always holds (assuming ;; TARGET[END] = +infinity) ,@(when declaration (list declaration)) (if (<= (- ok ng) 1) ok (let ((mid (ash (+ ng ok) -1))) (if (funcall order (funcall key (,accessor target mid)) value) (%bisect-left mid ok) (%bisect-left ng mid)))))) (assert (<= start end)) (%bisect-left (- start 1) end)))) (etypecase target (vector (let ((end (or end (length target)))) (frob aref (declare ((integer -1 (#.most-positive-fixnum)) ng ok))))) (function (assert end () "Requires END argument if TARGET is a function.") (frob funcall))))) (declaim (inline bisect-right)) (defun bisect-right (target value &key (start 0) end (order #'<) (key #'identity)) "TARGET := vector | function (taking an integer argument) ORDER := strict order Analogue of upper_bound() of C++ or bisect_right() of Python: Returns the smallest index (or input) i that fulfills TARGET[i] > VALUE. In other words, this function returns the rightmost index at which VALUE can be inserted with keeping the order. Therefore, TARGET must be monotonically non-decreasing with respect to ORDER. - This function returns END if VALUE >= TARGET[END-1]. - The range [START, END) is half-open. - END must be explicitly specified if TARGET is function. - KEY is applied to each element of TARGET before comparison." (declare (integer start) ((or null integer) end)) (macrolet ((frob (accessor &optional declaration) `(labels ((%bisect-right (ng ok) ;; TARGET[OK] > VALUE always holds (assuming ;; TARGET[END] = +infinity) ,@(when declaration (list declaration)) (if (<= (- ok ng) 1) ok (let ((mid (ash (+ ng ok) -1))) (if (funcall order value (funcall key (,accessor target mid))) (%bisect-right ng mid) (%bisect-right mid ok)))))) (assert (<= start end)) (%bisect-right (- start 1) end)))) (etypecase target (vector (let ((end (or end (length target)))) (frob aref (declare ((integer -1 (#.array-total-size-limit)) ng ok))))) (function (assert end () "Requires END argument if TARGET is a function.") (frob funcall))))) ;; BEGIN_USE_PACKAGE (eval-when (:compile-toplevel :load-toplevel :execute) (use-package :cp/bisect :cl-user)) (eval-when (:compile-toplevel :load-toplevel :execute) (use-package :cp/read-fixnum :cl-user)) (in-package :cl-user) ;;; ;;; Body ;;; (defun sort< (as) (declare #.*opt* (inline sort) ((simple-array int32 (*)) as)) (sort as #'<)) (defun sort> (as) (declare #.*opt* (inline sort) ((simple-array int32 (*)) as)) (sort as #'>)) (defun solve (as bs s) (declare #.*opt* ((simple-array int32 (*)) as bs)) (let* ((n (length as)) (m (length bs)) (as+ (make-array n :fill-pointer 0 :element-type 'int32)) (as- (make-array n :fill-pointer 0 :element-type 'int32)) (bs+ (make-array m :fill-pointer 0 :element-type 'int32)) (bs- (make-array m :fill-pointer 0 :element-type 'int32))) (declare (uint31 n m)) (dotimes (i n) (let ((a (aref as i))) (assert (vector-push a (if (>= a 0) as+ as-))))) (dotimes (i m) (let ((b (aref bs i))) (assert (vector-push b (if (>= b 0) bs+ bs-))))) (let* ((as+< (sort< (coerce as+ '(simple-array int32 (*))))) (as+> (sort> (coerce as+ '(simple-array int32 (*))))) (as-< (sort< (coerce as- '(simple-array int32 (*))))) (as-> (sort> (coerce as- '(simple-array int32 (*))))) (bs+< (sort< (coerce bs+ '(simple-array int32 (*))))) (bs+> (sort> (coerce bs+ '(simple-array int32 (*))))) (bs-< (sort< (coerce bs- '(simple-array int32 (*))))) (bs-> (sort> (coerce bs- '(simple-array int32 (*)))))) (declare ((simple-array int32 (*)) as+< as+> as-< as-> bs+< bs+> bs-< bs->)) (dbg as+< as+> as-< as-> bs+< bs+> bs-< bs->) (labels ((calc-count (threshold) (declare (fixnum threshold)) (let ((res 0)) (declare (uint62 res)) (when (>= threshold 0) (let ((end 0)) (sb-int:dovector (a as+>) (loop until (or (= end (length bs+<)) (< threshold (* a (aref bs+< end)))) do (incf end) finally (incf res end))))) (if (>= threshold 0) (incf res (the uint62 (* (length as+<) (length bs-<)))) (let ((end 0)) (sb-int:dovector (a as+<) (loop until (or (= end (length bs-<)) (< threshold (* a (aref bs-< end)))) do (incf end) finally (incf res end))))) (if (>= threshold 0) (incf res (the uint62 (* (length as-<) (length bs+<)))) (let ((end 0)) (sb-int:dovector (a as->) (loop until (or (= end (length bs+>)) (< threshold (* a (aref bs+> end)))) do (incf end) finally (incf res end))))) (when (>= threshold 0) (let ((end 0)) (sb-int:dovector (a as-<) (loop until (or (= end (length bs->)) (< threshold (* a (aref bs-> end)))) do (incf end) finally (incf res end))))) ;; (loop for a across as ;; for b across bs ;; when (<= (* a b))) ;; (sb-int:dovector (a as) ;; (when (<= (* a a) threshold) ;; (decf res))) ;; (setq res (ash res -1)) res))) (sb-int:named-let bisect ((ng #.(- (expt 10 18))) (ok #.(expt 10 18))) (declare (fixnum ng ok)) (if (<= (- ok ng) 1) ok (let ((mid (floor (+ ng ok) 2))) (if (>= (calc-count mid) s) (bisect ng mid) (bisect mid ok))))))))) (defun main () (let* ((k (read)) (l (read)) (m (read)) (n (read)) (s (read)) (as (make-array k :element-type 'int32 :initial-element 0)) (bs (make-array l :element-type 'int32 :initial-element 0)) (cs (make-array m :element-type 'int32 :initial-element 0)) (ds (make-array n :element-type 'int32 :initial-element 0)) (vec1 (make-array (* k l) :element-type 'int32 :initial-element 0)) (vec2 (make-array (* m n) :element-type 'int32 :initial-element 0)) (table1 (make-hash-table :test #'eq)) (table2 (make-hash-table :test #'eq))) (dotimes (i k) (setf (aref as i) (read-fixnum))) (dotimes (i l) (setf (aref bs i) (read-fixnum))) (dotimes (i m) (setf (aref cs i) (read-fixnum))) (dotimes (i n) (setf (aref ds i) (read-fixnum))) (dotimes (i k) (dotimes (j l) (setf (aref vec1 (+ (* i l) j)) (* (aref as i) (aref bs j))))) (dotimes (i m) (dotimes (j n) (setf (aref vec2 (+ (* i n) j)) (* (aref cs i) (aref ds j))))) (dbg vec1 vec2) (let* ((res (solve vec1 vec2 s))) (setq as (sort< as) bs (sort< bs) cs (sort< cs) ds (sort< ds)) (sb-int:dovector (x vec1) (setf (gethash x table1) t)) (sb-int:dovector (x vec2) (setf (gethash x table2) t)) (println res) (loop for x across vec1 do (multiple-value-bind (y rem) (floor res x) (when (and (zerop rem) (gethash y table2)) (loop named outer for a across as do (loop for b across bs when (= (* a b) x) do (format t "~D ~D " a b) (return-from outer))) (loop for c across cs do (loop for d across ds when (= (* c d) y) do (format t "~D ~D~%" c d) (return-from main))))))))) #-swank (main) ;;; ;;; Test ;;; #+swank (progn (defparameter *lisp-file-pathname* (uiop:current-lisp-file-pathname)) (setq *default-pathname-defaults* (uiop:pathname-directory-pathname *lisp-file-pathname*)) (uiop:chdir *default-pathname-defaults*) (defparameter *dat-pathname* (uiop:merge-pathnames* "test.dat" *lisp-file-pathname*)) (defparameter *problem-url* "https://yukicoder.me/problems/no/1361")) #+swank (defun gen-dat () (uiop:with-output-file (out *dat-pathname* :if-exists :supersede) (format out ""))) #+swank (defun bench (&optional (out (make-broadcast-stream))) (time (run *dat-pathname* out))) #+(and sbcl (not swank)) (eval-when (:compile-toplevel) (when sb-c::*undefined-warnings* (error "undefined warnings: ~{~A~^ ~}" sb-c::*undefined-warnings*))) ;; To run: (5am:run! :sample) #+swank (5am:test :sample (5am:is (equal "36 -1 2 -3 6 " (run "1 1 2 3 4 -1 2 -3 4 -5 6 -7 " nil))) (5am:is (equal "1 1 1 1 1 " (run "1 2 3 4 12 1 1 1 1 1 1 1 1 1 1 " nil))) (5am:is (equal "288 2 3 6 8 " (run "8 8 8 8 2000 3 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 " nil))))