001.s

.syntax unified

.equ max3start,999
.equ max5start,995

number	.req r4
matched	.req r5
sum	.req r6
max3	.req r7
max5	.req r8

.section .rodata
	.align	2
string:
	.asciz "%d\n"
.text
	.align	2
	.global	main
	.type	main, %function
main:
	stmfd	sp!, {r4-r8, lr}
	ldr	max5,   =max5start
	ldr	max3,   =max3start
	ldr	number, =max3start    @ start at 1000 - 1 ; numbers < 1000
	mov	matched, 0
	mov	sum, 0
loop:
	cmp	number, max3
	bne	test5

# matched a multiple of 3 - decrement max3, add to sum and set matched to 1
	mov	matched, 1
	add	sum, sum, number
	subs	max3, max3, 3

test5:
	cmp	number, max5
	bne	last

# matched a multiple of 5 - decrement max5, add to sum and set matched to 1
	subs	max5, max5, 5
	cmp	matched, 1 		@ have we already added it?
	addne	sum, sum, number 	@ if not add it to the total

last:
# decrement number and reset matched and loop
	mov	matched, 0
	subs	number, number, 1
	bne	loop

	mov	r1, sum		
	ldr	r0, =string	@ store address of start of string to r0
	bl	printf

	mov	r0, 0
	ldmfd	sp!, {r4-r8, pc}
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	002.s

.syntax unified

.equ maxfib,4000000

previous	.req r4
current		.req r5
next		.req r6
sum		.req r7
max		.req r8
tmp		.req r9

.section .rodata
	.align	2
fibstring:
	.asciz "fib is %d\n"
sumstring:
	.asciz "%d\n"

.text
	.align	2
	.global	main
	.type	main, %function
main:
	stmfd	sp!, {r4-r9, lr}
	ldr	max,   =maxfib
	mov	previous, 1 
	mov	current, 1
	mov	sum, 0

#	mov	r1, current
#	ldr	r0, =fibstring	@ store address of start of string to r0
#	bl	printf
loop:
	cmp	current, max
	bgt	last

#	mov	r1, current		
#	ldr	r0, =fibstring	@ store address of start of string to r0
#	bl	printf

	add	next, current, previous

	movs	tmp, current, lsr 1 @ set carry flag from lsr - for the odd-valued terms
	addcc	sum, sum, current   @ these are even-valued fibonacci (when cc is true)

	mov	previous, current
	mov	current, next
	b	loop

last:
	mov	r1, sum		
	ldr	r0, =sumstring	@ store address of start of string to r0
	bl	printf

	mov	r0, 0
	ldmfd	sp!, {r4-r9, pc}
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	010.s

.syntax unified
.equ    word,4
.equ    logword,2

.equ	limit,2000000
.equ	numprimes4,595732

sum_hi		.req r4
sum_lo		.req r5
numprimes       .req r6
primes_ptr      .req r7
number		.req r8
limit		.req r9

.align 2

.section .bss
.lcomm primes_vector,numprimes4

.section .rodata
	.align	2
llustring:
	.asciz "%llu\n"
primestring:
        .asciz "num %d primality is %d\n"

.text
.align	8
	.global	main
	.type	main, %function
main:
	stmfd	sp!, {r4-r9, fp, lr}

        ldr     primes_ptr, =primes_vector
        mov     numprimes, 1
        mov     number, 2
        strb    number, [primes_ptr]
	ldr	limit, =limit
        mov	sum_hi, 0
	mov	sum_lo, 2
        mov     number, 3
loop:
	cmp	number, limit
	bge	printme

	mov	r0, number
	ldr	r1, =primes_vector
	mov	r2, numprimes
	bl	prime_vector
	teq	r0, 1
	bne	nexti
        str	number, [primes_ptr, numprimes, lsl 2]
        add	numprimes, numprimes, 1
	adds	sum_lo, sum_lo, number
	adc	sum_hi, sum_hi, 0
nexti:
	add	number, number, 2
	b	loop
printme:
	mov	r2, sum_lo
	mov	r3, sum_hi
	ldr	r0, =llustring	@ store address of start of string to r0
	bl	printf

	mov	r0, 0
	ldmfd	sp!, {r4-r9, fp, pc}
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	003.s

.syntax unified

@ 600851475143 is 8BE589EAC7 in hex
@ root 600851475143 is 775146.099

.align 4
.equ numhi,139		@ 0x8b
.equ numlo,3851020999	@ 0xe589eac7
.equ root,775147

num_hi		.req r4
num_lo		.req r5
maxdiv		.req r6
n		.req r7
tmp		.req r8

.section .rodata
	.align	2
resstring:
	.asciz "%d\n"
.text
	.align	2
	.global	main
	.type	main, %function
main:
	stmfd	sp!, {r4-r8, lr}

	mov	maxdiv, 0
	ldr	n, =root
	ldr	num_lo, =numlo
	ldr	num_hi, =numhi
loop:
        ldr     r0, =numlo
        ldr     r1, =numhi
        mov     r2, n
        mov     r3, 0
        bl      long_divide
	mov	tmp, r0
	teq	r2, 0
	bne	nextn
	teq	r3, 0
	bne	nextn
	bl	isprime
	teq	r0, 1
	bne	testn
	cmp	maxdiv, tmp
	movlt	maxdiv, tmp
testn:
	mov	r0, n
	bl	isprime
	teq	r0, 1
	bne	nextn
	cmp	maxdiv, n
	movlt	maxdiv, n
nextn:
	sub	n, n, 2
	teq	n, 1
	beq	printme
	b	loop
printme:
	mov	r1, maxdiv
	ldr	r0, =resstring	@ store address of start of string to r0
	bl	printf

	mov	r0, 0
	ldmfd	sp!, {r4-r8, pc}
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	isprime.s

.syntax unified

# this subroutine returns 1 if the passed number is prime; 0 if not

# inputs
#   r0 - integer to test

# outputs
#   r0 - prime boolean

number		.req r4
divisor		.req r5
tmp		.req r6

.global isprime
.type isprime, %function
.text
.align	2

isprime:
	stmfd	sp!, {r4-r6, lr}
	mov	number, r0
	ands	tmp, number, 1
	bne	odd
	mov	r0, 0
	cmp	number, 2 	@ 2 is the only prime even number
	bne	last
	mov	r0, 1
	b	last
odd:
	mov	divisor, 3
	cmp 	number, 8
	bgt	big
	mov	r0, 1
	cmp	number, 1	@ 1 is the only odd number < 8 not prime
	bne	last
	mov	r0, 0
	b	last
big:
	mov	r0, number
	mov	r1, divisor
	bl	divide
	teq	r1, 0
	beq	factor
	add	divisor, divisor, 2
	mul	tmp, divisor, divisor
	subs	tmp, tmp, number
	ble	big
	mov	r0, 1
	b	last
factor:
	mov	r0, 0
last:
	ldmfd	sp!, {r4-r6, pc}

	004.s

.syntax unified

.equ max3,999
.equ min3,100
.equ maxdigits,6

i	.req r4
j	.req r5
product	.req r6
maxp	.req r7
mini	.req r8
minj	.req r9
maxj	.req r10

.section .rodata
	.align	2
sumstring:
	.asciz "%d\n"

.text
	.align	2
	.global	main
	.type	main, %function
main:
	stmfd	sp!, {r4-r10, lr}
        ldr	i, =max3
	ldr	mini, =min3
	ldr	maxj, =max3
	ldr	minj, =min3
iloop:
	mov	j, maxj
jloop:
	mul	product, i, j

	mov	r0, product
	bl	is_palindromic
	cmp	r0, #1
	bne	next
	cmp	product, maxp
	ble	next
	mov	maxp, product
	mov	r0, product
	bl	divide_by_10 @ divides r0 by 10 
	bl	divide_by_10 @ so 3 consecutive calls
	bl	divide_by_10 @ will divide by 1000
	mov	minj, r0
	mov	minj, r0

next:
	subs	j, j, 1
	cmp	j, minj
	bgt	jloop

	subs	i, i, 1
	mov	maxj, i
	cmp	i, mini
	bgt	iloop

last:
	mov	r1, maxp		
	ldr	r0, =sumstring	@ store address of start of string to r0
	bl	printf

	mov	r0, 0
	ldmfd	sp!, {r4-r10, pc}
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	ispalindromic.s

.syntax unified

.equ datum_size, 1
.equ digits, 6

# this subroutine returns 1 if the passed 6-digit number is palindromic; 0 if not
# the number is a product of 2 3-digit numbers so we assume the product has 6 digits
#
# inputs
#   r0 - integer to test
#
# outputs
#   r0 - palindromic boolean
#
# local
#
	left		.req r4
	right		.req r5
	counter		.req r6
	buffer_address	.req r7
	running		.req r8
	tmp		.req r9
#  
.section .bss
   .lcomm buffer, 6
#
.global is_palindromic
.type is_palindromic, %function
.global get_digits
.type get_digits, %function
.text
.align	2
#
is_palindromic:
	stmfd	sp!, {r4-r9, lr}
	bl	get_digits
	mov	counter, 3
	ldr	buffer_address, =buffer
ip_last:
	sub	left, buffer_address, counter
	ldrb	tmp, [left, 3]
	add	right, buffer_address, counter
	ldrb	running, [right, 2]
	teq	tmp, running
	bne	no
	subs	counter, counter, 1
	bgt	ip_last
	mov	r0, 1
	b 	last
no:
	mov	r0, 0
last:
	ldmfd	sp!, {r4-r9, pc}
#
get_digits:
	stmfd	sp!, {r7-r8, lr}
	ldr	running, =digits
	ldr	buffer_address, =buffer
gd_loop:
	subs	running, running, 1
	bl	divide_by_10_remainder
	strb	r1, [buffer_address], #datum_size
	bgt	gd_loop

gd_last:
	ldmfd	sp!, {r7-r8, pc}

	006.s

.syntax unified

.equ limit,100

number	.req r4
sumsq	.req r5
sqsum	.req r6
tmp	.req r7

.section .rodata
	.align	2
string:
	.asciz "%d\n"
.text
	.align	2
	.global	main
	.type	main, %function
main:
	stmfd	sp!, {r4-r7, lr}
	mov	sqsum, 0
	mov	sumsq, 0
	ldr	number, =limit
loop:
	mul	tmp, number, number
	add	sqsum, sqsum, tmp
# decrement number and loop or exit
	subs	number, number, 1
	beq	end_loop
	b	loop
end_loop:
	ldr	number, =limit
	add	number, number, 1
	ldr	sumsq, =limit
	mul	sumsq, sumsq, number
	lsr	sumsq, sumsq, 1
	mul	sumsq, sumsq, sumsq
last:
	sub	tmp, sumsq, sqsum 
	mov	r1, tmp
	ldr	r0, =string	@ store address of start of string to r0
	bl	printf

	mov	r0, 0
	ldmfd	sp!, {r4-r7, pc}
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	test_ispalindromic.s

.equ nonpalindromic,123456
.equ palindromic1,123321
.equ palindromic2,815518
.syntax unified

number		.req r4
palindromicflag	.req r5

.macro num_is_palindromic a
	ldr	number, =\a
	mov	r0, number
	bl	is_palindromic
	mov	palindromicflag, r0

	mov	r2, palindromicflag
	mov	r1, number
	ldr	r0, =palindromicstring
	bl	printf
.endm

.section .rodata
	.align	2
palindromicstring:
	.asciz "num %d palindromicity is %d\n"

.text
	.align	2
	.global	main
	.type	main, %function
main:
	num_is_palindromic nonpalindromic
	num_is_palindromic palindromic1
	num_is_palindromic palindromic2

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	test_isprime.s

.syntax unified

number		.req r4
primeflag	.req r5

.macro num_is_prime a
	mov	number, \a
	mov	r0, number
	bl	isprime
	mov	primeflag, r0

	mov	r2, primeflag
	mov	r1, number
	ldr	r0, =primestring
	bl	printf
.endm

.section .rodata
	.align	2
primestring:
	.asciz "num %d primality is %d\n"

.text
	.align	2
	.global	main
	.type	main, %function
main:
	num_is_prime 1
	num_is_prime 2
	num_is_prime 3
	num_is_prime 4
	num_is_prime 5
	num_is_prime 7
	num_is_prime 9
	num_is_prime 11
	num_is_prime 13
	num_is_prime 15
	num_is_prime 17
	num_is_prime 19
	num_is_prime 20
	num_is_prime 21
	num_is_prime 23
	num_is_prime 25
	num_is_prime 27
	num_is_prime 29
	ldr	number, =716151937
	mov	r0, number
	bl	isprime
	mov	primeflag, r0

	mov	r2, primeflag
	mov	r1, number
	ldr	r0, =primestring
	bl	printf

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	divide_by_10.s

.syntax unified

# this subroutine divides the passed number by 10 and
# returns the dividend and remainder
# 
# The const -0x33333333 is 0xccccccd (2s complement)
# 0xcccccccc is 12/15th (0.8) of 0xffffffff and we use this as
# a multiplier, then shift right by 3 bits (divide by 8) to 
# effect a multiplication by 0.1
#
# We multiply this number by 10 (multiply by 4, add 1 then multiply by 2)
# and subtract from the original number to give the remainder on division
# by 10.
#
# inputs
#   r0 - integer to divide
#
# outputs
#   r0 - the dividend 
#   r1 - the remainder 

.equ const,-0x33333333
#.equ const,0xcccccccd
.text
.align	2
.global	divide_by_10_remainder
.type	divide_by_10_remainder, %function
divide_by_10_remainder:
	stmfd	sp!, {lr}
	cmp	r0, 10
	blt	rsmall
	ldr	r1, =const
	umull	r2, r3, r1, r0
	mov	r2, r3, lsr #3	@ r2 = r3 / 8 == r0 / 10
	mov	r3, r2		@ r3 = r2
	mov	r3, r3, asl #2	@ r3 = 4 * r3
	add	r3, r3, r2	@ r3 = r3 + r2
	mov	r3, r3, asl #1	@ r3 = 2 * r3 
	rsb	r3, r3, r0	@ r3 = r0 - r3 = r0 - 10*int(r0/10)
	mov	r1, r3		@ the remainder
	mov	r0, r2		@ the dividend
	b	rlast
rsmall:
	mov	r1, r0
	mov	r0, 0
rlast:
	ldmfd	sp!, {pc}


# this subroutine divides the passed number by 10
# returns the dividend
# 
# The const -0x33333333 is 0xccccccd (2s complement)
# 0xcccccccc is 12/15th (0.8) of 0xffffffff and we use this as
# a multiplier, then shift right by 3 bits (divide by 8) to 
# effect a multiplication by 0.1
#
# We multiply this number by 10 (multiply by 4, add 1 then multiply by 2)
#
# inputs
#   r0 - integer to divide
#
# outputs
#   r0 - the dividend 

.align	2
.global	divide_by_10
.type	divide_by_10, %function
divide_by_10:
	stmfd	sp!, {lr}
	cmp	r0, 10
	blt	small
	ldr	r1, =const
	umull	r2, r3, r1, r0
	mov	r2, r3, lsr #3	@ r2 = r3 / 8 == r0 / 10
	mov	r0, r2		@ the dividend
	b	last
small:
	mov	r0, 0
last:
	ldmfd	sp!, {pc}

	005.s

.syntax unified

.equ	limit,20

.align 4

@ algorithm
@ initialise try_products to 1
@ foreach number > 1 and <= limit
@ test if it is prime
@ if try_products is set, then multiply the number by itself 
@ while it does not exceed limit, then multiply the total by
@ this product. if the number squared exceeds the limit, then 
@ set try_product to 0.
@ if try_products is 0 and the number is prime, then multiply
@ the total by number.

try_product	.req r4
number		.req r5
last		.req r6
total		.req r7
tmp		.req r8

.section .rodata
	.align	2
resstring:
	.asciz "%d\n"
.text
	.align	2
	.global	main
	.type	main, %function
main:
	stmfd	sp!, {r4-r8, lr}

	mov	total, 1
	mov	try_product, 1
	mov	number, 2
loop:
	mov	r0, number
	bl	isprime20
	cmp	r0, 1
	bne	nexti
	
	cmp	try_product, 1
	bne	no_product
	mul	tmp, number, number
	cmp	tmp, limit
	ble	prod_start
	mov	try_product, 0
	b	no_product
prod_start:
	mov	tmp, number
	mov	last, tmp
prod_loop:
	cmp	tmp, limit
	bgt	last_mul
	mov	last, tmp
	mul	tmp, tmp, number
	b	prod_loop
last_mul:
	mul	total, total, last
no_product:
	cmp	try_product, 0
	bne	nexti
	mul	total, total, number
nexti:
	cmp	number, limit
	beq	printme
	add	number, number, 1
	b	loop
	
printme:
	mov	r1, total
	ldr	r0, =resstring	@ store address of start of string to r0
	bl	printf

	mov	r0, 0
	ldmfd	sp!, {r4-r8, pc}
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

# this subroutine returns 1 if the passed number (<= 20) is prime; 0 if not
#
# inputs
#   r0 - integer to test
#
# outputs
#   r0 - prime boolean

.global isprime20
.type isprime20, %function
.text
.align	2

isprime20:
	stmfd	sp!, {lr}
	mov	r1, r0
	ands	r2, r1, 1
	bne	odd
	mov	r0, 0
	cmp	r1, 2 	@ 2 is the only prime even r1
	bne	last
	mov	r0, 1
	b	last
odd:
	mov	r0, 1
	cmp	r1, 9
	bne	test15
	mov	r0, 0
	b	last
test15:
	cmp	r1, 15
	bne	last
	mov	r0, 0
last:
	ldmfd	sp!, {pc}

	test_divide_by_10.s

.equ num0,7830
.equ num3,783
.equ num7,7847
.equ num8,78
.equ num9,7

.syntax unified

.macro dividend num
	ldr	r1, =\num
	ldr	r0, =numstring
	bl	printf

	ldr	r0, =\num
	bl	divide_by_10
	mov	r1, r0
	ldr	r0, =dividendstring
	bl	printf
.endm

.macro remainder num
	ldr	r1, =\num
	ldr	r0, =numstring
	bl	printf

	ldr	r0, =\num
	bl	divide_by_10_remainder
	mov	r2, r0
	ldr	r0, =remainderstring
	bl	printf
.endm

.section .rodata
	.align	2
numstring:
	.asciz "num is %d\n"
dividendstring:
	.asciz "dividend is %d\n"
remainderstring:
	.asciz "remainder is %d and dividend is %d\n"

.text
	.align	2
	.global	main
	.type	main, %function
main:
	remainder  num0
	remainder  num7
	remainder  num3
	remainder  num8
	remainder  num9

	dividend  num0
	dividend  num7
	dividend  num3
	dividend  num8
	dividend  num9

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	007.s

.syntax unified

.equ	limit,10000
.equ	limit4,40000

.align 4

number		.req r4
count		.req r5
numprimes	.req r6
primes_ptr	.req r7

.section .bss
.lcomm primes_vector,limit4

.section .rodata
	.align	2
resstring:
	.asciz "%d\n"
.text
	.align	2
	.global	main
	.type	main, %function
main:
	stmfd	sp!, {r4-r7, lr}

        ldr     primes_ptr, =primes_vector
        mov     numprimes, 1
        mov     number, 2
        strb    number, [primes_ptr]

	ldr	count, =limit
	mov	number, 3	@ 2 is the first prime
loop:
        mov     r0, number
        ldr     r1, =primes_vector
        mov     r2, numprimes
        bl      prime_vector
        teq     r0, 1
        bne     nexti
        str     number, [primes_ptr, numprimes, lsl 2]
        add     numprimes, numprimes, 1
	subs	count, count, 1
	beq	printme
nexti:
	add	number, number, 2
	b	loop
	
printme:
	mov	r1, number
	ldr	r0, =resstring	@ store address of start of string to r0
	bl	printf

	mov	r0, 0
	ldmfd	sp!, {r4-r7, pc}
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	008.s

.syntax unified

.equ    limit,10000
.equ	outer, 996
.equ	inner, 5 

.align 4

address         .req r4
thisbyte	.req r5
icounter	.req r6
ocounter	.req r7
maxv		.req r8
tmp		.req r9

.section .data
buffer:
.byte 7, 3, 1, 6, 7, 1, 7, 6, 5, 3, 1, 3, 3, 0, 6, 2, 4, 9, 1, 9, 2, 2
.byte 5, 1, 1, 9, 6, 7, 4, 4, 2, 6, 5, 7, 4, 7, 4, 2, 3, 5, 5, 3, 4, 9, 1, 9
.byte 4, 9, 3, 4, 9, 6, 9, 8, 3, 5, 2, 0, 3, 1, 2, 7, 7, 4, 5, 0, 6, 3, 2, 6
.byte 2, 3, 9, 5, 7, 8, 3, 1, 8, 0, 1, 6, 9, 8, 4, 8, 0, 1, 8, 6, 9, 4, 7, 8
.byte 8, 5, 1, 8, 4, 3, 8, 5, 8, 6, 1, 5, 6, 0, 7, 8, 9, 1, 1, 2, 9, 4, 9, 4
.byte 9, 5, 4, 5, 9, 5, 0, 1, 7, 3, 7, 9, 5, 8, 3, 3, 1, 9, 5, 2, 8, 5, 3, 2
.byte 0, 8, 8, 0, 5, 5, 1, 1, 1, 2, 5, 4, 0, 6, 9, 8, 7, 4, 7, 1, 5, 8, 5, 2
.byte 3, 8, 6, 3, 0, 5, 0, 7, 1, 5, 6, 9, 3, 2, 9, 0, 9, 6, 3, 2, 9, 5, 2, 2
.byte 7, 4, 4, 3, 0, 4, 3, 5, 5, 7, 6, 6, 8, 9, 6, 6, 4, 8, 9, 5, 0, 4, 4, 5
.byte 2, 4, 4, 5, 2, 3, 1, 6, 1, 7, 3, 1, 8, 5, 6, 4, 0, 3, 0, 9, 8, 7, 1, 1
.byte 1, 2, 1, 7, 2, 2, 3, 8, 3, 1, 1, 3, 6, 2, 2, 2, 9, 8, 9, 3, 4, 2, 3, 3
.byte 8, 0, 3, 0, 8, 1, 3, 5, 3, 3, 6, 2, 7, 6, 6, 1, 4, 2, 8, 2, 8, 0, 6, 4
.byte 4, 4, 4, 8, 6, 6, 4, 5, 2, 3, 8, 7, 4, 9, 3, 0, 3, 5, 8, 9, 0, 7, 2, 9
.byte 6, 2, 9, 0, 4, 9, 1, 5, 6, 0, 4, 4, 0, 7, 7, 2, 3, 9, 0, 7, 1, 3, 8, 1
.byte 0, 5, 1, 5, 8, 5, 9, 3, 0, 7, 9, 6, 0, 8, 6, 6, 7, 0, 1, 7, 2, 4, 2, 7
.byte 1, 2, 1, 8, 8, 3, 9, 9, 8, 7, 9, 7, 9, 0, 8, 7, 9, 2, 2, 7, 4, 9, 2, 1
.byte 9, 0, 1, 6, 9, 9, 7, 2, 0, 8, 8, 8, 0, 9, 3, 7, 7, 6, 6, 5, 7, 2, 7, 3
.byte 3, 3, 0, 0, 1, 0, 5, 3, 3, 6, 7, 8, 8, 1, 2, 2, 0, 2, 3, 5, 4, 2, 1, 8
.byte 0, 9, 7, 5, 1, 2, 5, 4, 5, 4, 0, 5, 9, 4, 7, 5, 2, 2, 4, 3, 5, 2, 5, 8
.byte 4, 9, 0, 7, 7, 1, 1, 6, 7, 0, 5, 5, 6, 0, 1, 3, 6, 0, 4, 8, 3, 9, 5, 8
.byte 6, 4, 4, 6, 7, 0, 6, 3, 2, 4, 4, 1, 5, 7, 2, 2, 1, 5, 5, 3, 9, 7, 5, 3
.byte 6, 9, 7, 8, 1, 7, 9, 7, 7, 8, 4, 6, 1, 7, 4, 0, 6, 4, 9, 5, 5, 1, 4, 9
.byte 2, 9, 0, 8, 6, 2, 5, 6, 9, 3, 2, 1, 9, 7, 8, 4, 6, 8, 6, 2, 2, 4, 8, 2
.byte 8, 3, 9, 7, 2, 2, 4, 1, 3, 7, 5, 6, 5, 7, 0, 5, 6, 0, 5, 7, 4, 9, 0, 2
.byte 6, 1, 4, 0, 7, 9, 7, 2, 9, 6, 8, 6, 5, 2, 4, 1, 4, 5, 3, 5, 1, 0, 0, 4
.byte 7, 4, 8, 2, 1, 6, 6, 3, 7, 0, 4, 8, 4, 4, 0, 3, 1, 9, 9, 8, 9, 0, 0, 0
.byte 8, 8, 9, 5, 2, 4, 3, 4, 5, 0, 6, 5, 8, 5, 4, 1, 2, 2, 7, 5, 8, 8, 6, 6
.byte 6, 8, 8, 1, 1, 6, 4, 2, 7, 1, 7, 1, 4, 7, 9, 9, 2, 4, 4, 4, 2, 9, 2, 8
.byte 2, 3, 0, 8, 6, 3, 4, 6, 5, 6, 7, 4, 8, 1, 3, 9, 1, 9, 1, 2, 3, 1, 6, 2
.byte 8, 2, 4, 5, 8, 6, 1, 7, 8, 6, 6, 4, 5, 8, 3, 5, 9, 1, 2, 4, 5, 6, 6, 5
.byte 2, 9, 4, 7, 6, 5, 4, 5, 6, 8, 2, 8, 4, 8, 9, 1, 2, 8, 8, 3, 1, 4, 2, 6
.byte 0, 7, 6, 9, 0, 0, 4, 2, 2, 4, 2, 1, 9, 0, 2, 2, 6, 7, 1, 0, 5, 5, 6, 2
.byte 6, 3, 2, 1, 1, 1, 1, 1, 0, 9, 3, 7, 0, 5, 4, 4, 2, 1, 7, 5, 0, 6, 9, 4
.byte 1, 6, 5, 8, 9, 6, 0, 4, 0, 8, 0, 7, 1, 9, 8, 4, 0, 3, 8, 5, 0, 9, 6, 2
.byte 4, 5, 5, 4, 4, 4, 3, 6, 2, 9, 8, 1, 2, 3, 0, 9, 8, 7, 8, 7, 9, 9, 2, 7
.byte 2, 4, 4, 2, 8, 4, 9, 0, 9, 1, 8, 8, 8, 4, 5, 8, 0, 1, 5, 6, 1, 6, 6, 0
.byte 9, 7, 9, 1, 9, 1, 3, 3, 8, 7, 5, 4, 9, 9, 2, 0, 0, 5, 2, 4, 0, 6, 3, 6
.byte 8, 9, 9, 1, 2, 5, 6, 0, 7, 1, 7, 6, 0, 6, 0, 5, 8, 8, 6, 1, 1, 6, 4, 6
.byte 7, 1, 0, 9, 4, 0, 5, 0, 7, 7, 5, 4, 1, 0, 0, 2, 2, 5, 6, 9, 8, 3, 1, 5
.byte 5, 2, 0, 0, 0, 5, 5, 9, 3, 5, 7, 2, 9, 7, 2, 5, 7, 1, 6, 3, 6, 2, 6, 9
.byte 5, 6, 1, 8, 8, 2, 6, 7, 0, 4, 2, 8, 2, 5, 2, 4, 8, 3, 6, 0, 0, 8, 2, 3
.byte 2, 5, 7, 5, 3, 0, 4, 2, 0, 7, 5, 2, 9, 6, 3, 4, 5, 0

.section .rodata
        .align  2
resstring:
        .asciz "%d\n"
.text
        .align  2
        .global main
        .type   main, %function
main:
        stmfd   sp!, {r4-r9, lr}
	ldr	address, =buffer
	ldr	ocounter, =outer
outer_start:
	ldr	icounter, =inner
	mov	tmp, #1
inner_start:
	ldrb	thisbyte, [address], 1
	mul	tmp, tmp, thisbyte
	subs	icounter, icounter, 1
	bne	inner_start
	cmp	maxv, tmp
	movlt	maxv, tmp	
	sub	address, address, 4
	subs	ocounter, ocounter, 1
	bne	outer_start

printme:
        mov     r1, maxv
        ldr     r0, =resstring  @ store address of start of string to r0
        bl      printf

	mov	r0, 0
        ldmfd   sp!, {r4-r9, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

	009.s

.syntax unified

.equ    limit,1000

.align 4

icount	.req r4
jcount	.req r5
kcount	.req r6
tmp	.req r8
jksum	.req r9

.section .rodata
        .align  2
resstring:
        .asciz "%d\n"
.text
        .align  2
        .global main
        .type   main, %function
main:
        stmfd   sp!, {r4-r9, lr}
	ldr	icount, =limit
istart:
	subs	jcount, icount, 1
	beq	nexti
jstart:
	subs	kcount, jcount, 1
	beq	nextj
	add	tmp, icount, jcount
kstart:
	add	tmp, tmp, kcount
	cmp	tmp, #limit
	bne	nextk
	mul	jksum, kcount, kcount
	mul	tmp, jcount, jcount
	add	jksum, jksum, tmp
	mul	tmp, icount, icount
	cmp	jksum, tmp
	beq	printme
nextk:
	add	tmp, icount, jcount
	subs	kcount, kcount, 1
	bne	kstart
nextj:
	subs	jcount, jcount, 1
	bne	jstart
nexti:
	subs	icount, icount, 1
	bne	istart
printme:
	mul	tmp, icount, jcount
	mul	tmp, tmp, kcount
        mov     r1, tmp
        ldr     r0, =resstring  @ store address of start of string to r0
        bl      printf

	mov	r0, 0
        ldmfd   sp!, {r4-r9, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

	011.s

.syntax unified

.align 2

.section .rodata
buffer:
.byte 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
.byte 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
.byte 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
.byte 0, 0, 0, 8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8, 0, 0, 0
.byte 0, 0, 0, 49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0, 0, 0, 0
.byte 0, 0, 0, 81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65, 0, 0, 0
.byte 0, 0, 0, 52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91, 0, 0, 0
.byte 0, 0, 0, 22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80, 0, 0, 0
.byte 0, 0, 0, 24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50, 0, 0, 0
.byte 0, 0, 0, 32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70, 0, 0, 0
.byte 0, 0, 0, 67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21, 0, 0, 0
.byte 0, 0, 0, 24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72, 0, 0, 0
.byte 0, 0, 0, 21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95, 0, 0, 0
.byte 0, 0, 0, 78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92, 0, 0, 0
.byte 0, 0, 0, 16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57, 0, 0, 0
.byte 0, 0, 0, 86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58, 0, 0, 0
.byte 0, 0, 0, 19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40, 0, 0, 0
.byte 0, 0, 0, 4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66, 0, 0, 0
.byte 0, 0, 0, 88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69, 0, 0, 0
.byte 0, 0, 0, 4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36, 0, 0, 0
.byte 0, 0, 0, 20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16, 0, 0, 0
.byte 0, 0, 0, 20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54, 0, 0, 0
.byte 0, 0, 0, 1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48, 0, 0, 0
.byte 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
.byte 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
.byte 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

resstring:
        .asciz "%d\n"

.equ    ocolumns, 26
.equ    icolumns, 20
.equ	colstart, 23
.equ    border, 3
.equ    offset, 2
.equ    points, 4
.equ    north, -ocolumns
.equ    north_east, -ocolumns+1
.equ    east, 1
.equ	south_east, ocolumns+1
.equ	south, ocolumns
.equ	south_west, ocolumns - 1
.equ	west, -1
.equ	north_west, -ocolumns-1
.equ	point_set, 1

tmp		.req r2
pointv		.req r3
data_ptr	.req r4
icount		.req r5
jcount		.req r6
kcount		.req r7
maxv		.req r8
dpstore		.req r9

.macro direction a
	mov	data_ptr, dpstore
	mov	kcount, points
	mov	pointv, point_set
kloop\@:
	ldrb	tmp, [data_ptr], \a
	mul	pointv, pointv, tmp
	subs	kcount, kcount, 1
	bne	kloop\@
        cmp     maxv, pointv
        movlt   maxv, pointv	@ set maxv to max of maxv and pointv
.endm

.text
        .align  2
        .global main
        .type   main, %function
main:
        stmfd   sp!, {r4-r9, lr}
	mov	icount, icolumns
iloop:
	mov	jcount, icolumns
jloop:
	mov	tmp, ocolumns
	add	data_ptr, icount, offset
	mul	tmp, tmp, data_ptr

	add	tmp, tmp, jcount
	add	tmp, tmp, offset
	ldr	data_ptr, =buffer
	add	dpstore, data_ptr, tmp	@ data[i][j]

	direction north
	direction north_east
	direction east
	direction south_east
	direction south
	direction south_west
	direction west
	direction north_west

	subs	jcount, jcount, 1
	bne	jloop

	subs	icount, icount, 1
	bne	iloop
printme:
        mov     r1, maxv
        ldr     r0, =resstring  @ store address of start of string to r0
        bl      printf

	mov	r0, 0
        ldmfd   sp!, {r4-r9, pc}
        mov     r7, 1		@ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

	012.s

.syntax unified

.align 2

.section .rodata
resstring:
        .asciz "%d\n"

.equ    last, 250

icount		.req r4
jcount		.req r5
tmp		.req r6
num		.req r7

.text
        .align  2
        .global get_num_divisors
        .type   get_num_divisors, %function
get_num_divisors:
        stmfd   sp!, {r4-r7, lr}
	mov	num, r0
	mov	icount, 0
	mov	jcount, 1
jstart:
	mov	r0, num
	mov	r1, jcount
	bl	divide
	teq	r1, 0
	beq	factor
	b	nextj
factor:
	add	icount, icount, 1
nextj:
	add	jcount, jcount, 1
	mul	tmp, jcount, jcount
	cmp	num, tmp
	bgt	jstart
	mov	r0, icount
        ldmfd   sp!, {r4-r7, pc}

        .align  2
        .global main
        .type   main, %function
main:
        stmfd   sp!, {r4-r7, lr}
	mov	num, 0
	mov	icount, 0
	mov	jcount, 1
loop:
	cmp	num, #last
	bge	printme
	add	icount, icount, jcount
	mov	r0, icount
	bl	get_num_divisors
	mov	num, r0

	add	jcount, jcount, 1
	b	loop

printme:
        mov     r1, icount
        ldr     r0, =resstring  @ store address of start of string to r0
        bl      printf

	mov	r0, 0
        ldmfd   sp!, {r4-r7, pc}
        mov     r7, 1		@ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

	013.s

.syntax unified

.equ ten, 10
.equ hundred, 100
.equ col_nums,50
.equ row_nums,100
.equ col_offset,50
@ maximum sum of any column is 900 - if all elements were 9

.align 4

const		.req r1
byte		.req r2
col_num		.req r4
row_num		.req r5
row1		.req r6
data_ptr	.req r8
col_sum		.req r9
tmp		.req r10

.section .bss
   .lcomm result, 52

.section .data
buffer:
.byte 3, 7, 1, 0, 7, 2, 8, 7, 5, 3, 3, 9, 0, 2, 1, 0, 2, 7, 9, 8, 7, 9, 7, 9, 9, 8, 2, 2, 0, 8, 3, 7, 5, 9, 0, 2, 4, 6, 5, 1, 0, 1, 3, 5, 7, 4, 0, 2, 5, 0
.byte 4, 6, 3, 7, 6, 9, 3, 7, 6, 7, 7, 4, 9, 0, 0, 0, 9, 7, 1, 2, 6, 4, 8, 1, 2, 4, 8, 9, 6, 9, 7, 0, 0, 7, 8, 0, 5, 0, 4, 1, 7, 0, 1, 8, 2, 6, 0, 5, 3, 8
.byte 7, 4, 3, 2, 4, 9, 8, 6, 1, 9, 9, 5, 2, 4, 7, 4, 1, 0, 5, 9, 4, 7, 4, 2, 3, 3, 3, 0, 9, 5, 1, 3, 0, 5, 8, 1, 2, 3, 7, 2, 6, 6, 1, 7, 3, 0, 9, 6, 2, 9
.byte 9, 1, 9, 4, 2, 2, 1, 3, 3, 6, 3, 5, 7, 4, 1, 6, 1, 5, 7, 2, 5, 2, 2, 4, 3, 0, 5, 6, 3, 3, 0, 1, 8, 1, 1, 0, 7, 2, 4, 0, 6, 1, 5, 4, 9, 0, 8, 2, 5, 0
.byte 2, 3, 0, 6, 7, 5, 8, 8, 2, 0, 7, 5, 3, 9, 3, 4, 6, 1, 7, 1, 1, 7, 1, 9, 8, 0, 3, 1, 0, 4, 2, 1, 0, 4, 7, 5, 1, 3, 7, 7, 8, 0, 6, 3, 2, 4, 6, 6, 7, 6
.byte 8, 9, 2, 6, 1, 6, 7, 0, 6, 9, 6, 6, 2, 3, 6, 3, 3, 8, 2, 0, 1, 3, 6, 3, 7, 8, 4, 1, 8, 3, 8, 3, 6, 8, 4, 1, 7, 8, 7, 3, 4, 3, 6, 1, 7, 2, 6, 7, 5, 7
.byte 2, 8, 1, 1, 2, 8, 7, 9, 8, 1, 2, 8, 4, 9, 9, 7, 9, 4, 0, 8, 0, 6, 5, 4, 8, 1, 9, 3, 1, 5, 9, 2, 6, 2, 1, 6, 9, 1, 2, 7, 5, 8, 8, 9, 8, 3, 2, 7, 3, 8
.byte 4, 4, 2, 7, 4, 2, 2, 8, 9, 1, 7, 4, 3, 2, 5, 2, 0, 3, 2, 1, 9, 2, 3, 5, 8, 9, 4, 2, 2, 8, 7, 6, 7, 9, 6, 4, 8, 7, 6, 7, 0, 2, 7, 2, 1, 8, 9, 3, 1, 8
.byte 4, 7, 4, 5, 1, 4, 4, 5, 7, 3, 6, 0, 0, 1, 3, 0, 6, 4, 3, 9, 0, 9, 1, 1, 6, 7, 2, 1, 6, 8, 5, 6, 8, 4, 4, 5, 8, 8, 7, 1, 1, 6, 0, 3, 1, 5, 3, 2, 7, 6
.byte 7, 0, 3, 8, 6, 4, 8, 6, 1, 0, 5, 8, 4, 3, 0, 2, 5, 4, 3, 9, 9, 3, 9, 6, 1, 9, 8, 2, 8, 9, 1, 7, 5, 9, 3, 6, 6, 5, 6, 8, 6, 7, 5, 7, 9, 3, 4, 9, 5, 1
.byte 6, 2, 1, 7, 6, 4, 5, 7, 1, 4, 1, 8, 5, 6, 5, 6, 0, 6, 2, 9, 5, 0, 2, 1, 5, 7, 2, 2, 3, 1, 9, 6, 5, 8, 6, 7, 5, 5, 0, 7, 9, 3, 2, 4, 1, 9, 3, 3, 3, 1
.byte 6, 4, 9, 0, 6, 3, 5, 2, 4, 6, 2, 7, 4, 1, 9, 0, 4, 9, 2, 9, 1, 0, 1, 4, 3, 2, 4, 4, 5, 8, 1, 3, 8, 2, 2, 6, 6, 3, 3, 4, 7, 9, 4, 4, 7, 5, 8, 1, 7, 8
.byte 9, 2, 5, 7, 5, 8, 6, 7, 7, 1, 8, 3, 3, 7, 2, 1, 7, 6, 6, 1, 9, 6, 3, 7, 5, 1, 5, 9, 0, 5, 7, 9, 2, 3, 9, 7, 2, 8, 2, 4, 5, 5, 9, 8, 8, 3, 8, 4, 0, 7
.byte 5, 8, 2, 0, 3, 5, 6, 5, 3, 2, 5, 3, 5, 9, 3, 9, 9, 0, 0, 8, 4, 0, 2, 6, 3, 3, 5, 6, 8, 9, 4, 8, 8, 3, 0, 1, 8, 9, 4, 5, 8, 6, 2, 8, 2, 2, 7, 8, 2, 8
.byte 8, 0, 1, 8, 1, 1, 9, 9, 3, 8, 4, 8, 2, 6, 2, 8, 2, 0, 1, 4, 2, 7, 8, 1, 9, 4, 1, 3, 9, 9, 4, 0, 5, 6, 7, 5, 8, 7, 1, 5, 1, 1, 7, 0, 0, 9, 4, 3, 9, 0
.byte 3, 5, 3, 9, 8, 6, 6, 4, 3, 7, 2, 8, 2, 7, 1, 1, 2, 6, 5, 3, 8, 2, 9, 9, 8, 7, 2, 4, 0, 7, 8, 4, 4, 7, 3, 0, 5, 3, 1, 9, 0, 1, 0, 4, 2, 9, 3, 5, 8, 6
.byte 8, 6, 5, 1, 5, 5, 0, 6, 0, 0, 6, 2, 9, 5, 8, 6, 4, 8, 6, 1, 5, 3, 2, 0, 7, 5, 2, 7, 3, 3, 7, 1, 9, 5, 9, 1, 9, 1, 4, 2, 0, 5, 1, 7, 2, 5, 5, 8, 2, 9
.byte 7, 1, 6, 9, 3, 8, 8, 8, 7, 0, 7, 7, 1, 5, 4, 6, 6, 4, 9, 9, 1, 1, 5, 5, 9, 3, 4, 8, 7, 6, 0, 3, 5, 3, 2, 9, 2, 1, 7, 1, 4, 9, 7, 0, 0, 5, 6, 9, 3, 8
.byte 5, 4, 3, 7, 0, 0, 7, 0, 5, 7, 6, 8, 2, 6, 6, 8, 4, 6, 2, 4, 6, 2, 1, 4, 9, 5, 6, 5, 0, 0, 7, 6, 4, 7, 1, 7, 8, 7, 2, 9, 4, 4, 3, 8, 3, 7, 7, 6, 0, 4
.byte 5, 3, 2, 8, 2, 6, 5, 4, 1, 0, 8, 7, 5, 6, 8, 2, 8, 4, 4, 3, 1, 9, 1, 1, 9, 0, 6, 3, 4, 6, 9, 4, 0, 3, 7, 8, 5, 5, 2, 1, 7, 7, 7, 9, 2, 9, 5, 1, 4, 5
.byte 3, 6, 1, 2, 3, 2, 7, 2, 5, 2, 5, 0, 0, 0, 2, 9, 6, 0, 7, 1, 0, 7, 5, 0, 8, 2, 5, 6, 3, 8, 1, 5, 6, 5, 6, 7, 1, 0, 8, 8, 5, 2, 5, 8, 3, 5, 0, 7, 2, 1
.byte 4, 5, 8, 7, 6, 5, 7, 6, 1, 7, 2, 4, 1, 0, 9, 7, 6, 4, 4, 7, 3, 3, 9, 1, 1, 0, 6, 0, 7, 2, 1, 8, 2, 6, 5, 2, 3, 6, 8, 7, 7, 2, 2, 3, 6, 3, 6, 0, 4, 5
.byte 1, 7, 4, 2, 3, 7, 0, 6, 9, 0, 5, 8, 5, 1, 8, 6, 0, 6, 6, 0, 4, 4, 8, 2, 0, 7, 6, 2, 1, 2, 0, 9, 8, 1, 3, 2, 8, 7, 8, 6, 0, 7, 3, 3, 9, 6, 9, 4, 1, 2
.byte 8, 1, 1, 4, 2, 6, 6, 0, 4, 1, 8, 0, 8, 6, 8, 3, 0, 6, 1, 9, 3, 2, 8, 4, 6, 0, 8, 1, 1, 1, 9, 1, 0, 6, 1, 5, 5, 6, 9, 4, 0, 5, 1, 2, 6, 8, 9, 6, 9, 2
.byte 5, 1, 9, 3, 4, 3, 2, 5, 4, 5, 1, 7, 2, 8, 3, 8, 8, 6, 4, 1, 9, 1, 8, 0, 4, 7, 0, 4, 9, 2, 9, 3, 2, 1, 5, 0, 5, 8, 6, 4, 2, 5, 6, 3, 0, 4, 9, 4, 8, 3
.byte 6, 2, 4, 6, 7, 2, 2, 1, 6, 4, 8, 4, 3, 5, 0, 7, 6, 2, 0, 1, 7, 2, 7, 9, 1, 8, 0, 3, 9, 9, 4, 4, 6, 9, 3, 0, 0, 4, 7, 3, 2, 9, 5, 6, 3, 4, 0, 6, 9, 1
.byte 1, 5, 7, 3, 2, 4, 4, 4, 3, 8, 6, 9, 0, 8, 1, 2, 5, 7, 9, 4, 5, 1, 4, 0, 8, 9, 0, 5, 7, 7, 0, 6, 2, 2, 9, 4, 2, 9, 1, 9, 7, 1, 0, 7, 9, 2, 8, 2, 0, 9
.byte 5, 5, 0, 3, 7, 6, 8, 7, 5, 2, 5, 6, 7, 8, 7, 7, 3, 0, 9, 1, 8, 6, 2, 5, 4, 0, 7, 4, 4, 9, 6, 9, 8, 4, 4, 5, 0, 8, 3, 3, 0, 3, 9, 3, 6, 8, 2, 1, 2, 6
.byte 1, 8, 3, 3, 6, 3, 8, 4, 8, 2, 5, 3, 3, 0, 1, 5, 4, 6, 8, 6, 1, 9, 6, 1, 2, 4, 3, 4, 8, 7, 6, 7, 6, 8, 1, 2, 9, 7, 5, 3, 4, 3, 7, 5, 9, 4, 6, 5, 1, 5
.byte 8, 0, 3, 8, 6, 2, 8, 7, 5, 9, 2, 8, 7, 8, 4, 9, 0, 2, 0, 1, 5, 2, 1, 6, 8, 5, 5, 5, 4, 8, 2, 8, 7, 1, 7, 2, 0, 1, 2, 1, 9, 2, 5, 7, 7, 6, 6, 9, 5, 4
.byte 7, 8, 1, 8, 2, 8, 3, 3, 7, 5, 7, 9, 9, 3, 1, 0, 3, 6, 1, 4, 7, 4, 0, 3, 5, 6, 8, 5, 6, 4, 4, 9, 0, 9, 5, 5, 2, 7, 0, 9, 7, 8, 6, 4, 7, 9, 7, 5, 8, 1
.byte 1, 6, 7, 2, 6, 3, 2, 0, 1, 0, 0, 4, 3, 6, 8, 9, 7, 8, 4, 2, 5, 5, 3, 5, 3, 9, 9, 2, 0, 9, 3, 1, 8, 3, 7, 4, 4, 1, 4, 9, 7, 8, 0, 6, 8, 6, 0, 9, 8, 4
.byte 4, 8, 4, 0, 3, 0, 9, 8, 1, 2, 9, 0, 7, 7, 7, 9, 1, 7, 9, 9, 0, 8, 8, 2, 1, 8, 7, 9, 5, 3, 2, 7, 3, 6, 4, 4, 7, 5, 6, 7, 5, 5, 9, 0, 8, 4, 8, 0, 3, 0
.byte 8, 7, 0, 8, 6, 9, 8, 7, 5, 5, 1, 3, 9, 2, 7, 1, 1, 8, 5, 4, 5, 1, 7, 0, 7, 8, 5, 4, 4, 1, 6, 1, 8, 5, 2, 4, 2, 4, 3, 2, 0, 6, 9, 3, 1, 5, 0, 3, 3, 2
.byte 5, 9, 9, 5, 9, 4, 0, 6, 8, 9, 5, 7, 5, 6, 5, 3, 6, 7, 8, 2, 1, 0, 7, 0, 7, 4, 9, 2, 6, 9, 6, 6, 5, 3, 7, 6, 7, 6, 3, 2, 6, 2, 3, 5, 4, 4, 7, 2, 1, 0
.byte 6, 9, 7, 9, 3, 9, 5, 0, 6, 7, 9, 6, 5, 2, 6, 9, 4, 7, 4, 2, 5, 9, 7, 7, 0, 9, 7, 3, 9, 1, 6, 6, 6, 9, 3, 7, 6, 3, 0, 4, 2, 6, 3, 3, 9, 8, 7, 0, 8, 5
.byte 4, 1, 0, 5, 2, 6, 8, 4, 7, 0, 8, 2, 9, 9, 0, 8, 5, 2, 1, 1, 3, 9, 9, 4, 2, 7, 3, 6, 5, 7, 3, 4, 1, 1, 6, 1, 8, 2, 7, 6, 0, 3, 1, 5, 0, 0, 1, 2, 7, 1
.byte 6, 5, 3, 7, 8, 6, 0, 7, 3, 6, 1, 5, 0, 1, 0, 8, 0, 8, 5, 7, 0, 0, 9, 1, 4, 9, 9, 3, 9, 5, 1, 2, 5, 5, 7, 0, 2, 8, 1, 9, 8, 7, 4, 6, 0, 0, 4, 3, 7, 5
.byte 3, 5, 8, 2, 9, 0, 3, 5, 3, 1, 7, 4, 3, 4, 7, 1, 7, 3, 2, 6, 9, 3, 2, 1, 2, 3, 5, 7, 8, 1, 5, 4, 9, 8, 2, 6, 2, 9, 7, 4, 2, 5, 5, 2, 7, 3, 7, 3, 0, 7
.byte 9, 4, 9, 5, 3, 7, 5, 9, 7, 6, 5, 1, 0, 5, 3, 0, 5, 9, 4, 6, 9, 6, 6, 0, 6, 7, 6, 8, 3, 1, 5, 6, 5, 7, 4, 3, 7, 7, 1, 6, 7, 4, 0, 1, 8, 7, 5, 2, 7, 5
.byte 8, 8, 9, 0, 2, 8, 0, 2, 5, 7, 1, 7, 3, 3, 2, 2, 9, 6, 1, 9, 1, 7, 6, 6, 6, 8, 7, 1, 3, 8, 1, 9, 9, 3, 1, 8, 1, 1, 0, 4, 8, 7, 7, 0, 1, 9, 0, 2, 7, 1
.byte 2, 5, 2, 6, 7, 6, 8, 0, 2, 7, 6, 0, 7, 8, 0, 0, 3, 0, 1, 3, 6, 7, 8, 6, 8, 0, 9, 9, 2, 5, 2, 5, 4, 6, 3, 4, 0, 1, 0, 6, 1, 6, 3, 2, 8, 6, 6, 5, 2, 6
.byte 3, 6, 2, 7, 0, 2, 1, 8, 5, 4, 0, 4, 9, 7, 7, 0, 5, 5, 8, 5, 6, 2, 9, 9, 4, 6, 5, 8, 0, 6, 3, 6, 2, 3, 7, 9, 9, 3, 1, 4, 0, 7, 4, 6, 2, 5, 5, 9, 6, 2
.byte 2, 4, 0, 7, 4, 4, 8, 6, 9, 0, 8, 2, 3, 1, 1, 7, 4, 9, 7, 7, 7, 9, 2, 3, 6, 5, 4, 6, 6, 2, 5, 7, 2, 4, 6, 9, 2, 3, 3, 2, 2, 8, 1, 0, 9, 1, 7, 1, 4, 1
.byte 9, 1, 4, 3, 0, 2, 8, 8, 1, 9, 7, 1, 0, 3, 2, 8, 8, 5, 9, 7, 8, 0, 6, 6, 6, 9, 7, 6, 0, 8, 9, 2, 9, 3, 8, 6, 3, 8, 2, 8, 5, 0, 2, 5, 3, 3, 3, 4, 0, 3
.byte 3, 4, 4, 1, 3, 0, 6, 5, 5, 7, 8, 0, 1, 6, 1, 2, 7, 8, 1, 5, 9, 2, 1, 8, 1, 5, 0, 0, 5, 5, 6, 1, 8, 6, 8, 8, 3, 6, 4, 6, 8, 4, 2, 0, 0, 9, 0, 4, 7, 0
.byte 2, 3, 0, 5, 3, 0, 8, 1, 1, 7, 2, 8, 1, 6, 4, 3, 0, 4, 8, 7, 6, 2, 3, 7, 9, 1, 9, 6, 9, 8, 4, 2, 4, 8, 7, 2, 5, 5, 0, 3, 6, 6, 3, 8, 7, 8, 4, 5, 8, 3
.byte 1, 1, 4, 8, 7, 6, 9, 6, 9, 3, 2, 1, 5, 4, 9, 0, 2, 8, 1, 0, 4, 2, 4, 0, 2, 0, 1, 3, 8, 3, 3, 5, 1, 2, 4, 4, 6, 2, 1, 8, 1, 4, 4, 1, 7, 7, 3, 4, 7, 0
.byte 6, 3, 7, 8, 3, 2, 9, 9, 4, 9, 0, 6, 3, 6, 2, 5, 9, 6, 6, 6, 4, 9, 8, 5, 8, 7, 6, 1, 8, 2, 2, 1, 2, 2, 5, 2, 2, 5, 5, 1, 2, 4, 8, 6, 7, 6, 4, 5, 3, 3
.byte 6, 7, 7, 2, 0, 1, 8, 6, 9, 7, 1, 6, 9, 8, 5, 4, 4, 3, 1, 2, 4, 1, 9, 5, 7, 2, 4, 0, 9, 9, 1, 3, 9, 5, 9, 0, 0, 8, 9, 5, 2, 3, 1, 0, 0, 5, 8, 8, 2, 2
.byte 9, 5, 5, 4, 8, 2, 5, 5, 3, 0, 0, 2, 6, 3, 5, 2, 0, 7, 8, 1, 5, 3, 2, 2, 9, 6, 7, 9, 6, 2, 4, 9, 4, 8, 1, 6, 4, 1, 9, 5, 3, 8, 6, 8, 2, 1, 8, 7, 7, 4
.byte 7, 6, 0, 8, 5, 3, 2, 7, 1, 3, 2, 2, 8, 5, 7, 2, 3, 1, 1, 0, 4, 2, 4, 8, 0, 3, 4, 5, 6, 1, 2, 4, 8, 6, 7, 6, 9, 7, 0, 6, 4, 5, 0, 7, 9, 9, 5, 2, 3, 6
.byte 3, 7, 7, 7, 4, 2, 4, 2, 5, 3, 5, 4, 1, 1, 2, 9, 1, 6, 8, 4, 2, 7, 6, 8, 6, 5, 5, 3, 8, 9, 2, 6, 2, 0, 5, 0, 2, 4, 9, 1, 0, 3, 2, 6, 5, 7, 2, 9, 6, 7
.byte 2, 3, 7, 0, 1, 9, 1, 3, 2, 7, 5, 7, 2, 5, 6, 7, 5, 2, 8, 5, 6, 5, 3, 2, 4, 8, 2, 5, 8, 2, 6, 5, 4, 6, 3, 0, 9, 2, 2, 0, 7, 0, 5, 8, 5, 9, 6, 5, 2, 2
.byte 2, 9, 7, 9, 8, 8, 6, 0, 2, 7, 2, 2, 5, 8, 3, 3, 1, 9, 1, 3, 1, 2, 6, 3, 7, 5, 1, 4, 7, 3, 4, 1, 9, 9, 4, 8, 8, 9, 5, 3, 4, 7, 6, 5, 7, 4, 5, 5, 0, 1
.byte 1, 8, 4, 9, 5, 7, 0, 1, 4, 5, 4, 8, 7, 9, 2, 8, 8, 9, 8, 4, 8, 5, 6, 8, 2, 7, 7, 2, 6, 0, 7, 7, 7, 1, 3, 7, 2, 1, 4, 0, 3, 7, 9, 8, 8, 7, 9, 7, 1, 5
.byte 3, 8, 2, 9, 8, 2, 0, 3, 7, 8, 3, 0, 3, 1, 4, 7, 3, 5, 2, 7, 7, 2, 1, 5, 8, 0, 3, 4, 8, 1, 4, 4, 5, 1, 3, 4, 9, 1, 3, 7, 3, 2, 2, 6, 6, 5, 1, 3, 8, 1
.byte 3, 4, 8, 2, 9, 5, 4, 3, 8, 2, 9, 1, 9, 9, 9, 1, 8, 1, 8, 0, 2, 7, 8, 9, 1, 6, 5, 2, 2, 4, 3, 1, 0, 2, 7, 3, 9, 2, 2, 5, 1, 1, 2, 2, 8, 6, 9, 5, 3, 9
.byte 4, 0, 9, 5, 7, 9, 5, 3, 0, 6, 6, 4, 0, 5, 2, 3, 2, 6, 3, 2, 5, 3, 8, 0, 4, 4, 1, 0, 0, 0, 5, 9, 6, 5, 4, 9, 3, 9, 1, 5, 9, 8, 7, 9, 5, 9, 3, 6, 3, 5
.byte 2, 9, 7, 4, 6, 1, 5, 2, 1, 8, 5, 5, 0, 2, 3, 7, 1, 3, 0, 7, 6, 4, 2, 2, 5, 5, 1, 2, 1, 1, 8, 3, 6, 9, 3, 8, 0, 3, 5, 8, 0, 3, 8, 8, 5, 8, 4, 9, 0, 3
.byte 4, 1, 6, 9, 8, 1, 1, 6, 2, 2, 2, 0, 7, 2, 9, 7, 7, 1, 8, 6, 1, 5, 8, 2, 3, 6, 6, 7, 8, 4, 2, 4, 6, 8, 9, 1, 5, 7, 9, 9, 3, 5, 3, 2, 9, 6, 1, 9, 2, 2
.byte 6, 2, 4, 6, 7, 9, 5, 7, 1, 9, 4, 4, 0, 1, 2, 6, 9, 0, 4, 3, 8, 7, 7, 1, 0, 7, 2, 7, 5, 0, 4, 8, 1, 0, 2, 3, 9, 0, 8, 9, 5, 5, 2, 3, 5, 9, 7, 4, 5, 7
.byte 2, 3, 1, 8, 9, 7, 0, 6, 7, 7, 2, 5, 4, 7, 9, 1, 5, 0, 6, 1, 5, 0, 5, 5, 0, 4, 9, 5, 3, 9, 2, 2, 9, 7, 9, 5, 3, 0, 9, 0, 1, 1, 2, 9, 9, 6, 7, 5, 1, 9
.byte 8, 6, 1, 8, 8, 0, 8, 8, 2, 2, 5, 8, 7, 5, 3, 1, 4, 5, 2, 9, 5, 8, 4, 0, 9, 9, 2, 5, 1, 2, 0, 3, 8, 2, 9, 0, 0, 9, 4, 0, 7, 7, 7, 0, 7, 7, 5, 6, 7, 2
.byte 1, 1, 3, 0, 6, 7, 3, 9, 7, 0, 8, 3, 0, 4, 7, 2, 4, 4, 8, 3, 8, 1, 6, 5, 3, 3, 8, 7, 3, 5, 0, 2, 3, 4, 0, 8, 4, 5, 6, 4, 7, 0, 5, 8, 0, 7, 7, 3, 0, 8
.byte 8, 2, 9, 5, 9, 1, 7, 4, 7, 6, 7, 1, 4, 0, 3, 6, 3, 1, 9, 8, 0, 0, 8, 1, 8, 7, 1, 2, 9, 0, 1, 1, 8, 7, 5, 4, 9, 1, 3, 1, 0, 5, 4, 7, 1, 2, 6, 5, 8, 1
.byte 9, 7, 6, 2, 3, 3, 3, 1, 0, 4, 4, 8, 1, 8, 3, 8, 6, 2, 6, 9, 5, 1, 5, 4, 5, 6, 3, 3, 4, 9, 2, 6, 3, 6, 6, 5, 7, 2, 8, 9, 7, 5, 6, 3, 4, 0, 0, 5, 0, 0
.byte 4, 2, 8, 4, 6, 2, 8, 0, 1, 8, 3, 5, 1, 7, 0, 7, 0, 5, 2, 7, 8, 3, 1, 8, 3, 9, 4, 2, 5, 8, 8, 2, 1, 4, 5, 5, 2, 1, 2, 2, 7, 2, 5, 1, 2, 5, 0, 3, 2, 7
.byte 5, 5, 1, 2, 1, 6, 0, 3, 5, 4, 6, 9, 8, 1, 2, 0, 0, 5, 8, 1, 7, 6, 2, 1, 6, 5, 2, 1, 2, 8, 2, 7, 6, 5, 2, 7, 5, 1, 6, 9, 1, 2, 9, 6, 8, 9, 7, 7, 8, 9
.byte 3, 2, 2, 3, 8, 1, 9, 5, 7, 3, 4, 3, 2, 9, 3, 3, 9, 9, 4, 6, 4, 3, 7, 5, 0, 1, 9, 0, 7, 8, 3, 6, 9, 4, 5, 7, 6, 5, 8, 8, 3, 3, 5, 2, 3, 9, 9, 8, 8, 6
.byte 7, 5, 5, 0, 6, 1, 6, 4, 9, 6, 5, 1, 8, 4, 7, 7, 5, 1, 8, 0, 7, 3, 8, 1, 6, 8, 8, 3, 7, 8, 6, 1, 0, 9, 1, 5, 2, 7, 3, 5, 7, 9, 2, 9, 7, 0, 1, 3, 3, 7
.byte 6, 2, 1, 7, 7, 8, 4, 2, 7, 5, 2, 1, 9, 2, 6, 2, 3, 4, 0, 1, 9, 4, 2, 3, 9, 9, 6, 3, 9, 1, 6, 8, 0, 4, 4, 9, 8, 3, 9, 9, 3, 1, 7, 3, 3, 1, 2, 7, 3, 1
.byte 3, 2, 9, 2, 4, 1, 8, 5, 7, 0, 7, 1, 4, 7, 3, 4, 9, 5, 6, 6, 9, 1, 6, 6, 7, 4, 6, 8, 7, 6, 3, 4, 6, 6, 0, 9, 1, 5, 0, 3, 5, 9, 1, 4, 6, 7, 7, 5, 0, 4
.byte 9, 9, 5, 1, 8, 6, 7, 1, 4, 3, 0, 2, 3, 5, 2, 1, 9, 6, 2, 8, 8, 9, 4, 8, 9, 0, 1, 0, 2, 4, 2, 3, 3, 2, 5, 1, 1, 6, 9, 1, 3, 6, 1, 9, 6, 2, 6, 6, 2, 2
.byte 7, 3, 2, 6, 7, 4, 6, 0, 8, 0, 0, 5, 9, 1, 5, 4, 7, 4, 7, 1, 8, 3, 0, 7, 9, 8, 3, 9, 2, 8, 6, 8, 5, 3, 5, 2, 0, 6, 9, 4, 6, 9, 4, 4, 5, 4, 0, 7, 2, 4
.byte 7, 6, 8, 4, 1, 8, 2, 2, 5, 2, 4, 6, 7, 4, 4, 1, 7, 1, 6, 1, 5, 1, 4, 0, 3, 6, 4, 2, 7, 9, 8, 2, 2, 7, 3, 3, 4, 8, 0, 5, 5, 5, 5, 6, 2, 1, 4, 8, 1, 8
.byte 9, 7, 1, 4, 2, 6, 1, 7, 9, 1, 0, 3, 4, 2, 5, 9, 8, 6, 4, 7, 2, 0, 4, 5, 1, 6, 8, 9, 3, 9, 8, 9, 4, 2, 2, 1, 7, 9, 8, 2, 6, 0, 8, 8, 0, 7, 6, 8, 5, 2
.byte 8, 7, 7, 8, 3, 6, 4, 6, 1, 8, 2, 7, 9, 9, 3, 4, 6, 3, 1, 3, 7, 6, 7, 7, 5, 4, 3, 0, 7, 8, 0, 9, 3, 6, 3, 3, 3, 3, 0, 1, 8, 9, 8, 2, 6, 4, 2, 0, 9, 0
.byte 1, 0, 8, 4, 8, 8, 0, 2, 5, 2, 1, 6, 7, 4, 6, 7, 0, 8, 8, 3, 2, 1, 5, 1, 2, 0, 1, 8, 5, 8, 8, 3, 5, 4, 3, 2, 2, 3, 8, 1, 2, 8, 7, 6, 9, 5, 2, 7, 8, 6
.byte 7, 1, 3, 2, 9, 6, 1, 2, 4, 7, 4, 7, 8, 2, 4, 6, 4, 5, 3, 8, 6, 3, 6, 9, 9, 3, 0, 0, 9, 0, 4, 9, 3, 1, 0, 3, 6, 3, 6, 1, 9, 7, 6, 3, 8, 7, 8, 0, 3, 9
.byte 6, 2, 1, 8, 4, 0, 7, 3, 5, 7, 2, 3, 9, 9, 7, 9, 4, 2, 2, 3, 4, 0, 6, 2, 3, 5, 3, 9, 3, 8, 0, 8, 3, 3, 9, 6, 5, 1, 3, 2, 7, 4, 0, 8, 0, 1, 1, 1, 1, 6
.byte 6, 6, 6, 2, 7, 8, 9, 1, 9, 8, 1, 4, 8, 8, 0, 8, 7, 7, 9, 7, 9, 4, 1, 8, 7, 6, 8, 7, 6, 1, 4, 4, 2, 3, 0, 0, 3, 0, 9, 8, 4, 4, 9, 0, 8, 5, 1, 4, 1, 1
.byte 6, 0, 6, 6, 1, 8, 2, 6, 2, 9, 3, 6, 8, 2, 8, 3, 6, 7, 6, 4, 7, 4, 4, 7, 7, 9, 2, 3, 9, 1, 8, 0, 3, 3, 5, 1, 1, 0, 9, 8, 9, 0, 6, 9, 7, 9, 0, 7, 1, 4
.byte 8, 5, 7, 8, 6, 9, 4, 4, 0, 8, 9, 5, 5, 2, 9, 9, 0, 6, 5, 3, 6, 4, 0, 4, 4, 7, 4, 2, 5, 5, 7, 6, 0, 8, 3, 6, 5, 9, 9, 7, 6, 6, 4, 5, 7, 9, 5, 0, 9, 6
.byte 6, 6, 0, 2, 4, 3, 9, 6, 4, 0, 9, 9, 0, 5, 3, 8, 9, 6, 0, 7, 1, 2, 0, 1, 9, 8, 2, 1, 9, 9, 7, 6, 0, 4, 7, 5, 9, 9, 4, 9, 0, 1, 9, 7, 2, 3, 0, 2, 9, 7
.byte 6, 4, 9, 1, 3, 9, 8, 2, 6, 8, 0, 0, 3, 2, 9, 7, 3, 1, 5, 6, 0, 3, 7, 1, 2, 0, 0, 4, 1, 3, 7, 7, 9, 0, 3, 7, 8, 5, 5, 6, 6, 0, 8, 5, 0, 8, 9, 2, 5, 2
.byte 1, 6, 7, 3, 0, 9, 3, 9, 3, 1, 9, 8, 7, 2, 7, 5, 0, 2, 7, 5, 4, 6, 8, 9, 0, 6, 9, 0, 3, 7, 0, 7, 5, 3, 9, 4, 1, 3, 0, 4, 2, 6, 5, 2, 3, 1, 5, 0, 1, 1
.byte 9, 4, 8, 0, 9, 3, 7, 7, 2, 4, 5, 0, 4, 8, 7, 9, 5, 1, 5, 0, 9, 5, 4, 1, 0, 0, 9, 2, 1, 6, 4, 5, 8, 6, 3, 7, 5, 4, 7, 1, 0, 5, 9, 8, 4, 3, 6, 7, 9, 1
.byte 7, 8, 6, 3, 9, 1, 6, 7, 0, 2, 1, 1, 8, 7, 4, 9, 2, 4, 3, 1, 9, 9, 5, 7, 0, 0, 6, 4, 1, 9, 1, 7, 9, 6, 9, 7, 7, 7, 5, 9, 9, 0, 2, 8, 3, 0, 0, 6, 9, 9
.byte 1, 5, 3, 6, 8, 7, 1, 3, 7, 1, 1, 9, 3, 6, 6, 1, 4, 9, 5, 2, 8, 1, 1, 3, 0, 5, 8, 7, 6, 3, 8, 0, 2, 7, 8, 4, 1, 0, 7, 5, 4, 4, 4, 9, 7, 3, 3, 0, 7, 8
.byte 4, 0, 7, 8, 9, 9, 2, 3, 1, 1, 5, 5, 3, 5, 5, 6, 2, 5, 6, 1, 1, 4, 2, 3, 2, 2, 4, 2, 3, 2, 5, 5, 0, 3, 3, 6, 8, 5, 4, 4, 2, 4, 8, 8, 9, 1, 7, 3, 5, 3
.byte 4, 4, 8, 8, 9, 9, 1, 1, 5, 0, 1, 4, 4, 0, 6, 4, 8, 0, 2, 0, 3, 6, 9, 0, 6, 8, 0, 6, 3, 9, 6, 0, 6, 7, 2, 3, 2, 2, 1, 9, 3, 2, 0, 4, 1, 4, 9, 5, 3, 5
.byte 4, 1, 5, 0, 3, 1, 2, 8, 8, 8, 0, 3, 3, 9, 5, 3, 6, 0, 5, 3, 2, 9, 9, 3, 4, 0, 3, 6, 8, 0, 0, 6, 9, 7, 7, 7, 1, 0, 6, 5, 0, 5, 6, 6, 6, 3, 1, 9, 5, 4
.byte 8, 1, 2, 3, 4, 8, 8, 0, 6, 7, 3, 2, 1, 0, 1, 4, 6, 7, 3, 9, 0, 5, 8, 5, 6, 8, 5, 5, 7, 9, 3, 4, 5, 8, 1, 4, 0, 3, 6, 2, 7, 8, 2, 2, 7, 0, 3, 2, 8, 0
.byte 8, 2, 6, 1, 6, 5, 7, 0, 7, 7, 3, 9, 4, 8, 3, 2, 7, 5, 9, 2, 2, 3, 2, 8, 4, 5, 9, 4, 1, 7, 0, 6, 5, 2, 5, 0, 9, 4, 5, 1, 2, 3, 2, 5, 2, 3, 0, 6, 0, 8
.byte 2, 2, 9, 1, 8, 8, 0, 2, 0, 5, 8, 7, 7, 7, 3, 1, 9, 7, 1, 9, 8, 3, 9, 4, 5, 0, 1, 8, 0, 8, 8, 8, 0, 7, 2, 4, 2, 9, 6, 6, 1, 9, 8, 0, 8, 1, 1, 1, 9, 7
.byte 7, 7, 1, 5, 8, 5, 4, 2, 5, 0, 2, 0, 1, 6, 5, 4, 5, 0, 9, 0, 4, 1, 3, 2, 4, 5, 8, 0, 9, 7, 8, 6, 8, 8, 2, 7, 7, 8, 9, 4, 8, 7, 2, 1, 8, 5, 9, 6, 1, 7
.byte 7, 2, 1, 0, 7, 8, 3, 8, 4, 3, 5, 0, 6, 9, 1, 8, 6, 1, 5, 5, 4, 3, 5, 6, 6, 2, 8, 8, 4, 0, 6, 2, 2, 5, 7, 4, 7, 3, 6, 9, 2, 2, 8, 4, 5, 0, 9, 5, 1, 6
.byte 2, 0, 8, 4, 9, 6, 0, 3, 9, 8, 0, 1, 3, 4, 0, 0, 1, 7, 2, 3, 9, 3, 0, 6, 7, 1, 6, 6, 6, 8, 2, 3, 5, 5, 5, 2, 4, 5, 2, 5, 2, 8, 0, 4, 6, 0, 9, 7, 2, 2
.byte 5, 3, 5, 0, 3, 5, 3, 4, 2, 2, 6, 4, 7, 2, 5, 2, 4, 2, 5, 0, 8, 7, 4, 0, 5, 4, 0, 7, 5, 5, 9, 1, 7, 8, 9, 7, 8, 1, 2, 6, 4, 3, 3, 0, 3, 3, 1, 6, 9, 0

.section .rodata
        .align  2
numstring:
        .asciz "%d"
nlstring:
        .asciz "\n"
.text
        .align  2
        .global main
        .type   main, %function
main:
        stmfd   sp!, {r4-r10, lr}

	ldr	col_num, =col_nums
loopstart:
	ldr	row1, =buffer
	ldr	tmp, =col_nums
	add	row1, row1, tmp
col_loop:
	mov	col_sum, 0
	ldr	row_num, =row_nums
	sub	row1, row1, 1
	mov	data_ptr, row1
	subs	col_num, col_num, 1
	blt	printme
	
row_loop:
	ldrb	byte, [data_ptr], col_offset
	add	col_sum, col_sum, byte
	subs	row_num, row_num, 1
	bne	row_loop

	mov	r0, col_num
	bl	get_3_result

	mov	tmp, r0
	add	col_sum, col_sum, tmp
	mov	r0, col_sum
	mov	r1, col_num
	bl	put_3_result

	b	col_loop
printme:
        ldr	row1, =ten
	ldr	data_ptr, =result

next_digit:
        ldrb	r1, [data_ptr], 1
        ldr     r0, =numstring
        bl      printf
	subs	row1, row1, 1
	bne	next_digit
last:
        ldr     r0, =nlstring
        bl      printf
        mov     r0, 0
        ldmfd   sp!, {r4-r10, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

        .global get_3_result
        .type   get_3_result, %function
get_3_result:
        stmfd   sp!, {data_ptr, tmp, lr}
	ldr	data_ptr, =result
	add	data_ptr, data_ptr, r0
	ldrb	byte, [data_ptr], 1
	mov	const, hundred
	mul	byte, byte, const
	mov	tmp, byte
	ldrb	byte, [data_ptr], 1
	mov	const, ten
	mul	byte, byte, const
	add	tmp, tmp, byte
	ldrb	byte, [data_ptr], 1
	add	tmp, tmp, byte
	mov	r0, tmp
        ldmfd   sp!, {data_ptr, tmp, pc}

        .global put_3_result
        .type   put_3_result, %function
put_3_result:
        stmfd   sp!, {data_ptr, lr}
	ldr	data_ptr, =result
	add	data_ptr, data_ptr, r1
	add	data_ptr, data_ptr, 2

	bl	divide_by_10_remainder

	strb	r1, [data_ptr], -1
	bl	divide_by_10_remainder
	strb	r1, [data_ptr], -1
	strb	r0, [data_ptr]
        ldmfd   sp!, {data_ptr, pc}

The following iterative sequence is defined for the set of positive integers:

n n/2 (n is even)
n 3n + 1 (n is odd)

Using the rule above and starting with 13, we generate the following sequence:

13 40 20 10 5 16 8 4 2 1

It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. Although it has not been proved yet (Collatz Problem), it is thought that all starting numbers finish at 1.

Which starting number, under one million, produces the longest chain?

NOTE: Once the chain starts the terms are allowed to go above one million.

	014.s

.syntax unified

.equ last, 1000000
.equ first, 500000

.align 4

maxi		.req r4
maxv		.req r5
counter		.req r6
i		.req r7
j_hi		.req r8
j_lo		.req r9
limit		.req r10

.section .rodata
        .align  2
numstring:
        .asciz "%d\n"
.text
        .align  2
        .global main
        .type   main, %function
main:
        stmfd   sp!, {r4-r10, lr}

	mov	maxi, 0
	mov	maxv, 0
	ldr	i, =first
	ldr	limit, =last
loopstart:
	mov	counter, 0
	mov	j_lo, i
inner:
	cmp	j_lo, 1
	beq	inc_counter
	mov	r0, j_hi
	mov	r1, j_lo
	bl	next_term
	mov	j_hi, r0
	mov	j_lo, r1
	add	counter, counter, 1
	b	inner
inc_counter:
	add	counter, counter, 1
	cmp	maxv, counter
	movlt	maxv, counter
	movlt	maxi, i
	adds	i, i, 1
	cmp 	i, limit
	blt	loopstart
	
printme:
	mov	r1, maxi
        ldr     r0, =numstring
        bl      printf
        mov     r0, 0
        ldmfd   sp!, {r4-r10, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

        .global next_term
        .type   next_term, %function
next_term:
        stmfd   sp!, {lr}
	ands	r2, r1, 1
	bne	odd
	movs	r0, r0, lsr 1	@ leave bit 0 in carry
	rrx	r1, r1		@ then get it and push it on
	b	next_term_last
odd:
	adds	r2, r1, r1
	adc	r0, r0, 0
	adds	r2, r2, r1
	adc	r0, r0, 0
	adds	r2, r2, 1
	adc	r0, r0, 0
	mov	r1, r2		@ r1 is 3n+1 - any overflow to r0

next_term_last:
        ldmfd   sp!, {pc}

Starting in the top left corner of a 22 grid, and only being able to move to the right and down, there are exactly 6 routes to the bottom right corner.

How many such routes are there through a 2020 grid?

	015.s

.syntax unified
.align 4

.macro factor2 d n
	ldr	i, =start_offset
inext\@:
	ldr	i_ptr, =\d
	add	i_ptr, i_ptr, i
	ldrb	dtmp, [i_ptr], -1
	ldr	j, =start_offset
jnext\@:
	cmp	dtmp, 1
	beq	nexti\@
	ldr	j_ptr, =\n
	add	j_ptr, j_ptr, j
	ldrb	ntmp, [j_ptr], -1
	
	cmp	ntmp, dtmp	@ if numerator < denominator use next numerator element
	blt	nextj\@
	mov	tmp, 0
	mov	r0, 0
mod_start\@:
	add	r0, r0, 1
	add	tmp, tmp, dtmp
	cmp	ntmp, tmp
	bgt	mod_start\@
	blt	nextj\@
	strb	r0, [j_ptr, 1]
	mov	dtmp, 1
	strb	dtmp, [i_ptr, 1]
nextj\@:
	subs	j, j, 1
	bgt	jnext\@
nexti\@:
	subs	i, i, 1
	bgt	inext\@
.endm
 
.equ num, 20
.equ start_offset, 19

i		.req r4
j		.req r5
i_ptr		.req r6
j_ptr		.req r7
res_hi		.req r6
res_lo		.req r7
tmp		.req r8
dtmp		.req r9
ntmp		.req r10

.section .data
numerator:
  .byte 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40
denominator:
  .byte 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20
.section .rodata
        .align  2
llustring:
        .asciz "%llu\n"
.text
        .align  2
        .global main
        .type   main, %function
main:
        stmfd   sp!, {r4-r10, lr}

	factor2	denominator numerator
nloop:
	ldr	r0, =numerator
	bl	needs_factor
	cmp	r0, 0
	beq	printme
	factor2	numerator denominator
	ldr	r0, =denominator
	bl	needs_factor
	cmp	r0, 0
	beq	printme
	factor2	denominator numerator
	b	nloop

printme:
	ldr	j, =start_offset
	ldr	j_ptr, =numerator
	add	j_ptr, j_ptr, j
	mov	r0, 1
	mov	r1, 0
mnumerator:
	ldrb	ntmp, [j_ptr], -1
	mov	r2, ntmp
	mov	r3, 0
	bl	mul_64to64
	subs	j, j, 1
	bge	mnumerator
	
        mov     r2, r0
        mov     r3, r1
        ldr     r0, =llustring  @ store address of start of string to r0
        bl      printf

        mov     r0, 0
        ldmfd   sp!, {r4-r10, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

        .align  2
        .global needs_factor
        .type   needs_factor, %function
needs_factor:
        stmfd   sp!, {lr}
	ldr	r1, =start_offset
	add	r2, r0, r1
next_byte:
	ldrb	r3, [r2], -1
	cmp	r3, 1
	bne	ret1
	subs	r1, r1, 1
	bne	next_byte
	mov	r0, 0
	b	leave
ret1:
	mov	r0, 1
leave:
        ldmfd   sp!, {pc}

	mul_64to64.s

# long long mul_64to64 (long long b, long long c)

b_0 .req r0	@ b bits [31:00]  (b low)
b_1 .req r1	@ b bits [63:32]  (b high)
c_0 .req r2	@ c bits [31:00]  (c low)
c_1 .req r3	@ c bits [63:32]  (c high)
a_0 .req r4	@ a bits [31:00]  (a low-low)
a_1 .req r5	@ a bits [63:32]  (a low-high)

.globl mul_64to64
.align 2
	.text
mul_64to64:

	nop
	stmfd sp!, {r4, r5, lr}		@ 64-bit a = 64-bit b * 64-bit c

	umull a_0, a_1, b_0, c_0	@ low*low
	mla a_1, b_0, c_1, a_1		@ low*high
	mla a_1, b_1, c_0, a_1 		@ high*low
					@ return wrapper
	mov r0, a_0
	mov r1, a_1

	ldmfd sp!, {r4, r5, pc}

	016.s

.syntax unified

.equ	power,1000
.equ	iLENGTH,302
.equ	scalar2,2

.section .rodata
sum_string:
.asciz "%d\n"

.section .data
input:
.byte 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

.section bss
.lcomm output,iLENGTH

.text
	.align	2
	.global	main
	.type	main, %function
main:
	ldr	r4, =power
next:
	ldr	r0, =input
	ldr	r1, =iLENGTH
	ldr	r2, =scalar2
	ldr	r3, =output
	bl	mul_digit_string

	ldr	r0, =output
	ldr	r1, =iLENGTH
	ldr	r2, =input
	bl	copybytes

	subs	r4, r4, 1
	bne	next

	ldr	r0, =output
	ldr	r1, =iLENGTH
	bl	sum_output

	mov	r1, r0
	ldr	r0, =sum_string
	bl	printf

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

# printbytes takes input pointer in r0, input length in r1 and writes printable vector to r2 (with trailing null)
printbytes:
	stmfd	sp!, {lr}
printloop:
	ldrb	r3, [r0], 1
	add	r3, r3, 48
	strb	r3, [r2], 1
	subs	r1, r1, 1
	bne	printloop

	mov	r3, 0
	strb	r3, [r2], 1
	ldmfd	sp!, {pc}

# copybytes takes input pointer in r0, input length in r1 and copies vector to r2
copybytes:
	stmfd	sp!, {lr}
copyloop:
	ldrb	r3, [r0], 1
	strb	r3, [r2], 1
	subs	r1, r1, 1
	bne	copyloop

	ldmfd	sp!, {pc}

# sum_output sums the elements of the r1 elements of the vector passed in r0 and returns the sum in r0
sum_output:
        stmfd   sp!, {lr}
        mov     r2, 0
sumloop:
        ldrb    r3, [r0], 1
        add     r2, r2, r3
        subs    r1, r1, 1
        bne     sumloop

        mov     r0, r2
        ldmfd   sp!, {pc}

	mul_digit_string.s

.syntax unified

# this subroutine multiplies the byte array at r0, length r1 by the digit r2 
# and stores to r0 with output length in r1
#
# inputs
#   r0 - pointer to input vector
#   r1 - length of input vector
#   r2 - multiplicand
#   r3 - pointer to output vector
#
# outputs
#   r0 - pointer to output vector
#   r1 - length of output vector

iptr		.req r4
optr		.req r5
offset		.req r6
tmp		.req r7
carry		.req r8
multiplier	.req r9
cell		.req r10

.global mul_digit_string
.type mul_digit_string, %function
.text
.align	2

mul_digit_string:
	stmfd	sp!, {r4-r10, lr}
	teq	r2, 0
	bne	mds_one
	moveq	r0, r3
	moveq	tmp, r3
	moveq	r1, 1
	bleq	clearbytes
	mov	r0, tmp
	moveq	r1, 1
	b	mds_end
mds_one:
	teq	r2, 1
	bne	mds_start
	moveq	r2, r3
	moveq	tmp, r0
	moveq	cell, r1
	bleq	copybytes
	mov	r0, tmp
	mov	r1, cell
	b	mds_end
mds_start:
	mov	carry, r0
	mov	tmp, r1
	mov	offset, r3
	mov	r0, r3
	add	r1, r1, 1
	bl	clearbytes
	mov	r0, carry
	mov	r1, tmp
	mov	r3, offset

	mov	carry, 0
	mov	multiplier, r2
	mov	offset, r1
	sub	offset, offset, 1
	add	iptr, r0, offset
	add	optr, r3, offset
	add	offset, offset, 1
	mov	tmp, r1
mds_loopstart:
	ldrb	cell, [iptr], -1
	mul	r0, cell, multiplier
	add	r0, r0, carry
	bl	divide_by_10_remainder
	strb	r1, [optr], -1
	mov	carry, r0
	subs	offset, offset, 1
	beq	mds_last
	b	mds_loopstart
mds_last:
	cmp	carry, 0
	addeq	r0, optr, 1
	moveq	r1, tmp
	strbne	carry, [optr]
	movne	r0, optr
	addne	r1, tmp, 1
mds_end:
	ldmfd	sp!, {r4-r10, pc}

	test_mul_digit_string.s

.syntax unified

.macro multiplystring num
	ldr	r0, =input
	ldr	r1, =iLENGTH
	ldr	r2, =\num
	ldr	r3, =output
	bl	mul_digit_string

	ldr	r2, =print_vector
	bl	printbytes

	ldr	r1, =\num
	ldr	r2, =print_vector
	ldr	r0, =outstring
	bl	printf
.endm

.equ	iLENGTH,4
.equ	ipLENGTH,iLENGTH+1
.equ	oLENGTH,iLENGTH+1
.equ	opLENGTH,oLENGTH+1

.equ	scalar0,0
.equ	scalar1,1
.equ	scalar2,2
.equ	scalar3,3
.equ	scalar8,8

number	.req r4

.section .rodata
.align	2
input:
.byte 4, 3, 2, 7
instring:
.asciz "input string is %s\n"
outstring:
.asciz "scalar is %d and output string is %s\n"

.section bss
.lcomm print_vector,ipLENGTH
.lcomm output,oLENGTH

.text
	.align	2
	.global	main
	.type	main, %function
main:
	ldr	r0, =input
	ldr	r1, =iLENGTH
	ldr	r2, =print_vector
	bl	printbytes

	ldr	r1, =print_vector
	ldr	r0, =instring
	bl	printf

	multiplystring scalar3
	multiplystring scalar0
	multiplystring scalar1
	multiplystring scalar8
	multiplystring scalar2

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	017.s

.syntax unified

.equ	one,3
.equ	two,3
.equ	three,5
.equ	four,4
.equ	five,4
.equ	six,3
.equ	seven,5
.equ	eight,5
.equ	nine,4
.equ	ten,3
.equ	eleven,6
.equ	twelve,6
.equ	thirteen,8
.equ	fourteen,8
.equ	fifteen,7
.equ	sixteen,7
.equ	seventeen,9
.equ	eighteen,8
.equ	nineteen,8
.equ	twenty,6
.equ	thirty,6
.equ	forty,5
.equ	fifty,5
.equ	sixty,5
.equ	seventy,7
.equ	eighty,6
.equ	ninety,6
.equ	hundred,7
.equ	thousand,8
.equ	and,3

.macro units
	add	r0, r0, one
	add	r0, r0, two
	add	r0, r0, three
	add	r0, r0, four
	add	r0, r0, five
	add	r0, r0, six
	add	r0, r0, seven
	add	r0, r0, eight
	add	r0, r0, nine
.endm

.macro teens
	add	r0, r0, ten
	add	r0, r0, eleven
	add	r0, r0, twelve
	add	r0, r0, thirteen
	add	r0, r0, fourteen
	add	r0, r0, fifteen
	add	r0, r0, sixteen
	add	r0, r0, seventeen
	add	r0, r0, eighteen
	add	r0, r0, nineteen
.endm

.macro tens tenmul
	ldr	r1, =\tenmul
	mov	r2, 10
	mul	r1, r1, r2
	add	r0, r0, r1
	units
.endm

.macro alltens
	teens
	tens	twenty
	tens	thirty
	tens	forty
	tens	fifty
	tens	sixty
	tens	seventy
	tens	eighty
	tens	ninety
.endm

.macro hundreds hundredmul
	ldr	r1, =\hundredmul
	add	r1, r1, hundred
	mov	r2, 100
	mul	r1, r1, r2
	add	r0, r0, r1

	ldr	r1, =and
	mov	r2, 99
	mul	r1, r1, r2
	add	r0, r0, r1

	units
	alltens
.endm

.section .rodata
sum_string:
.asciz "%d\n"

.text
	.align	2
	.global	main
	.type	main, %function
main:
	mov	r0, 0
	units
	alltens
	hundreds	one
	hundreds	two
	hundreds	three
	hundreds	four
	hundreds	five
	hundreds	six
	hundreds	seven
	hundreds	eight
	hundreds	nine
	add	r0, r0, one
	add	r0, r0, thousand

	mov	r1, r0
	ldr	r0, =sum_string
	bl	printf

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	018.s

.syntax unified

.equ	maxij, 14
.equ	width, 2
.equ	logwidth, 1

.align 4

iptr		.req r0
tmp		.req r1
icount		.req r4
jcount		.req r5
maxc		.req r6
jptr		.req r7
cell		.req r8

.macro get_element i, j
	ldr	iptr, =last
	mov	r1, \i
	add	iptr, iptr, r1
	sub	iptr, iptr, 1
	ldrb	tmp, [iptr]

	ldr	jptr, =buffer
	add	jptr, jptr, tmp, asl logwidth
	mov	tmp, \j
	add	jptr, jptr, tmp, asl logwidth
	sub	jptr, jptr, width
	ldrh	cell, [jptr]
.endm

.macro update_element i, j
	mov	r2, \i
	add	r2, r2, 1
	mov	r3, \j
	add	r3, r3, 1
	get_element r2 r3
	sub	r3, r3, 1
	mov	maxc, cell
	get_element r2 r3
	cmp	maxc, cell
	movlt	maxc, cell
	sub	r2, r2, 1
	get_element r2 r3
	add	cell, cell, maxc
	strh	cell, [jptr]
.endm

.section .data
last:
.byte 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120

buffer:
.hword 75
.hword 95, 64
.hword 17, 47, 82
.hword 18, 35, 87, 10
.hword 20, 4, 82, 47, 65
.hword 19, 1, 23, 75, 3, 34
.hword 88, 2, 77, 73, 7, 63, 67
.hword 99, 65, 4, 28, 6, 16, 70, 92
.hword 41, 41, 26, 56, 83, 40, 80, 70, 33
.hword 41, 48, 72, 33, 47, 32, 37, 16, 94, 29
.hword 53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14
.hword 70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57
.hword 91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48
.hword 63, 66, 4, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31
.hword 4, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 4, 23

.section .rodata
.align  2
resstring:
        .asciz "%d\n"

.text
.align  2
.global main
.type   main, %function
main:
        stmfd   sp!, {r4-r8, lr}

	ldr	icount, =maxij
iloop:
	mov	jcount, icount
jloop:
	update_element icount jcount
	subs	jcount, jcount, 1
	bne	jloop
	subs	icount, icount, 1
	bne	iloop
printme:
        mov     r1, cell
        ldr     r0, =resstring  @ store address of start of string to r0
        bl      printf

	mov	r0, 0
        ldmfd   sp!, {r4-r8, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

	019.s

.syntax unified

.equ	months,48
.equ	cycles,25

tmp             .req r1
scount          .req r4
ccount          .req r5
mcount          .req r6
dow		.req r7
cptr		.req r8

.section .rodata
cycle:
.byte 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31

resstring:
.asciz "%d\n"

.text
	.align	2
	.global	main
	.type	main, %function
main:
        stmfd   sp!, {r4-r8, lr}
	mov	scount, 0
	mov	dow, 2
	ldr	ccount, =cycles
cstart:
	mov	mcount, 0
	ldr	cptr, =cycle
mstart:
	teq	dow, 0
	addeq	scount, scount, 1

	ldrb	tmp, [cptr], 1
	add	r0, dow, tmp
	mov	r1, 7
	bl	divide
	mov	dow, r1

	add	mcount, mcount, 1
	cmp	mcount, months
	blt	mstart
	subs	ccount, ccount, 1
	bne	cstart
last:
	mov	r1, scount
	ldr	r0, =resstring
	bl	printf

        mov     r0, 0
        ldmfd   sp!, {r4-r8, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

	add_digit_strings.s

.syntax unified 

# see usage in test_add_digit_strings.s - it requires
# the fifth parameter to be passed on the stack

.equ datum_size, 1

.text
optr		.req r4
sptr		.req r5
lptr		.req r6
scell		.req r7
lcell		.req r8
carry		.req r9
ltmp		.req r9
counter		.req r10
ptmp		.req r10

# this subroutine adds the byte array at r0, length r1
# to the byte array at r2, length r3. The data is output 
# to the pointer passed as r4.
#
# inputs
#   r0 - pointer to input1 vector
#   r1 - length of input1 vector
#   r2 - pointer to input2 vector
#   r3 - length of input2 vector
#   r4 - pointer to output vector
#
# outputs
#   r0 - pointer to output vector
#   r1 - length of output vector

.text
.align	2

.global add_digit_strings
.type add_digit_strings, %function
add_digit_strings:
        stmfd   sp!, {r9-r10, lr}
	cmp	r3, r1
	movlt	ptmp, r0
	movlt	r0, r2
	movlt	r2, ptmp
	movlt	ltmp, r1
	movlt	r1, r3
	movlt	r3, ltmp
	bl	add_strings_short_to_long
        ldmfd   sp!, {r9-r10, pc}

# this subroutine adds the short byte array at r0, length r1
# to the byte array at r2, length r3.
#
# inputs
#   r0 - pointer to short vector
#   r1 - length of short vector
#   r2 - pointer to long vector
#   r3 - length of long vector
#   r4 - pointer to output vector
#
# outputs
#   r0 - pointer to output vector
#   r1 - length of output vector

.global add_strings_short_to_long
.type add_strings_short_to_long, %function
add_strings_short_to_long:
        stmfd   sp!, {r5-r10, lr} @ 7 longs
	ldr	optr, [sp, #40]
	mov	sptr, r0
	add	sptr, sptr, r1
	sub	sptr, sptr, 1

	mov	lptr, r2
	add	lptr, lptr, r3
	sub	lptr, lptr, 1
	
	add	optr, optr, r3

	mov	carry, 0
	mov	counter, r1
sstart:
	ldrb	scell, [sptr], -1
	ldrb	lcell, [lptr], -1
	add	lcell, lcell, scell
	add	lcell, lcell, carry
	mov	carry, 0
	cmp	lcell, 10
	movge	carry, 1
	subge	lcell, lcell, 10
	strb	lcell, [optr], -1
	subs	counter, counter, 1
	bne	sstart
	
	mov	counter, r3
	subs	counter, counter, r1
	beq	asstl_last
lstart:
	ldrb	lcell, [lptr], -1
	add	lcell, lcell, carry
	mov	carry, 0
	cmp	lcell, 10
	movge	carry, 1
	subge	lcell, lcell, 10
	strb	lcell, [optr], -1
	subs	counter, counter, 1
	bne	lstart

asstl_last:
	cmp	carry, 1
	strbeq	carry, [optr], -1

	add	r0, optr, 1
	add	r1, r3, carry
        ldmfd   sp!, {r5-r10, pc}

	test_add_digit_strings.s

.syntax unified

.equ	sLENGTH,4
.equ	lLENGTH,5
.equ	ipLENGTH,lLENGTH+1
.equ	oLENGTH,lLENGTH+1
.equ	opLENGTH,oLENGTH+1

.macro add_strings a al b bl c
	ldr	r0, =\a
	ldr	r1, =\al
	ldr	r2, =print_vector
	bl	printbytes

	ldr	r1, =print_vector
	ldr	r0, =instring
	bl	printf

	ldr	r0, =\b
	ldr	r1, =\bl
	ldr	r2, =print_vector
	bl	printbytes

	ldr	r1, =print_vector
	ldr	r0, =instring
	bl	printf

        stmfd   sp!, {r4}	@ stash r4 on the stack - we destroy it in add_digit_strings
	ldr	r0, =\c
	stmfd   sp!, {r0}       @ this is the fifth parameter for the subroutine
	ldr	r0, =\a
	ldr	r1, =\al
	ldr	r2, =\b
	ldr	r3, =\bl
	bl	add_digit_strings
	add     sp, sp, 4       @ revert sp to before (1)
        ldmfd   sp!, {r4}	@ and get stashed r4

	ldr	r2, =print_vector
	bl	printbytes

	ldr	r1, =print_vector
	ldr	r0, =outstring
	bl	printf
.endm

.section .data
.align	2
short:
.byte 4, 3, 2, 7
long:
.byte 6, 6, 6, 6, 6
nines2:
.byte 9, 9
nines4:
.byte 9, 9, 9, 9
nines6:
.byte 9, 9, 9, 9, 0, 9
nines7:
.byte 9, 0, 9, 0, 0, 9, 9
instring:
.asciz "input string is %s\n"
outstring:
.asciz "output string is %s\n"

.section .bss
.lcomm print_vector,ipLENGTH
.lcomm output,oLENGTH

.text
	.align	2
	.global	main
	.type	main, %function
main:
	add_strings short sLENGTH long lLENGTH output
	add_strings long lLENGTH short sLENGTH output
	add_strings nines2 2 nines4 4 output
	add_strings nines6 6 nines4 4 output
	add_strings nines6 6 nines2 2 output
	add_strings nines7 7 nines2 2 output
	add_strings nines7 7 nines6 6 output
	add_strings nines7 7 nines4 4 output

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	clearbytes.s

.syntax unified

# clearbytes takes pointer in r0, input length in r1 
# and sets all vector elements to 0

.global clearbytes
.type	clearbytes, %function
clearbytes:
	stmfd	sp!, {lr}
	mov	r3, 0
clearbytesloopstart:
	strb	r3, [r0], 1
	subs	r1, r1, 1
	bne	clearbytesloopstart

	ldmfd	sp!, {pc}

	copybytes.s

.syntax unified

# copybytes takes input pointer in r0, input length in r1 and writes to r2
ptr	.req r4
len	.req r5
.global copybytes
.type	copybytes, %function
copybytes:
	stmfd	sp!, {ptr, len, lr}
	mov	len, r1
	mov	ptr, r2
copybytesloopstart:
	ldrb	r3, [r0], 1
	strb	r3, [r2], 1
	subs	r1, r1, 1
	bne	copybytesloopstart

	mov	r0, ptr
	mov	r1, len
	ldmfd	sp!, {ptr, len, pc}

	mul_int_string.s

.syntax unified

.equ datum_size, 1
.equ MAXLEN,192

.section bss
.lcomm tmp_vector,MAXLEN

# this subroutine multiplies the byte array at r0, length r1 by the int r2 
# and stores to r0 with output length in r1
#
# inputs
#   r0 - pointer to input vector
#   r1 - length of input vector
#   r2 - multiplicand
#   r3 - pointer to output vector
#
# outputs
#   r0 - pointer to output vector
#   r1 - length of output vector

iptr		.req r4
optr		.req r5
ilength		.req r6
tlength		.req r7
olength		.req r8
tmp		.req r9
multiplier	.req r10

.global mul_int_string
.type mul_int_string, %function
.text
.align	2

mul_int_string:
	stmfd	sp!, {r4-r10, lr}
	mov	iptr, r0
	mov	ilength, r1
	mov	tlength, r1
	mov	olength, r1
	mov	multiplier, r2
	mov	optr, r3
mis_loopstart:
	teq	multiplier, 0
	beq	mis_last

	ldr	r0, =tmp_vector
	mov	r1, tlength
	bl	clearbytes

	mov	r0, multiplier
	bl	divide_by_10_remainder
	mov	multiplier, r0
	mov	r2, r1
	mov	r0, iptr
	mov	r1, ilength
	ldr	r3, =tmp_vector
bm:
	bl	mul_digit_string
am:
	mov	tmp, r0
	cmp     tlength, r1
        movlt   tlength, r1    @ set tlength to max of tlength and r1

        stmfd   sp!, {r4}
        mov     r0, optr
        stmfd   sp!, {r0}       @ this is the fifth parameter for the subroutine

	mov	r0, tmp
	mov	r1, tlength
	mov	r2, optr
ba:
	mov	r3, olength
	bl	add_digit_strings
	mov	optr, r0
	cmp	olength, r1
	movlt	olength, r1
        add     sp, sp, 4       @ revert sp to before (1)
	ldmfd	sp!, {r4}
aa:
	ldr	r0, =tmp_vector
	mov	r1, tlength
	bl	clearbytes
	mov	r0, optr
	mov	r1, olength
	teq	multiplier, 0
	addne	ilength, ilength, 1	
	beq	mis_last
	bne	mis_loopstart
mis_last:
	ldmfd	sp!, {r4-r10, pc}

	printbytes.s

.syntax unified

# printbytes takes input pointer in r0, input length in r1 and writes printable vector to r2 (with trailing null)
	.global printbytes
	.type	printbytes, %function
printbytes:
	stmfd	sp!, {lr}
printbytes_loopstart:
	ldrb	r3, [r0], 1
	add	r3, r3, 48
	strb	r3, [r2], 1
	subs	r1, r1, 1
	bne	printbytes_loopstart

	mov	r3, 0
	strb	r3, [r2], 1
	ldmfd	sp!, {pc}

	test_mul_int_string.s

.syntax unified

.macro multiplystring num
	ldr	r0, =input
	ldr	r1, =iLENGTH
	ldr	r2, =\num
	ldr	r3, =output
	bl	mul_int_string

	ldr	r2, =print_vector
	bl	printbytes

	ldr	r1, =\num
	ldr	r2, =print_vector
	ldr	r0, =outstring
	bl	printf

	ldr	r0, =output
	ldr	r1, =oLENGTH
	bl	clearbytes
.endm

.equ	iLENGTH,10
.equ	ipLENGTH,iLENGTH+1
.equ	oLENGTH,iLENGTH+2
.equ	opLENGTH,oLENGTH+1

.equ	scalar1,1
.equ	scalar3,3
.equ	scalar14,14
.equ	scalar20,20
.equ	scalar31,31
.equ	scalar32,32
.equ	scalar87,87

.section .data
.align	2
input:
#.byte 4, 3, 2, 7
#.byte 1, 2, 3
#fact13:
.byte 6, 2, 2, 7, 0, 2, 0, 8, 0, 0
.section .rodata
instring:
.asciz "input string is %s\n"
outstring:
.asciz "scalar is %d and output string is %s\n"

.section bss
.lcomm print_vector,ipLENGTH
.lcomm output,oLENGTH

.text
	.align	2
	.global	main
	.type	main, %function
main:
	ldr	r0, =input
	ldr	r1, =iLENGTH
	ldr	r2, =print_vector
	bl	printbytes

	ldr	r1, =print_vector
	ldr	r0, =instring
	bl	printf

	multiplystring scalar1
	multiplystring scalar3
	multiplystring scalar14
	multiplystring scalar31
	multiplystring scalar32
	multiplystring scalar87
	multiplystring scalar20

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	020.s

.syntax unified

.equ	LENGTH,200
.equ	scalar100,100

.section .rodata
sumstring:
.asciz "%d\n"


.section bss
.align	2
.lcomm input,LENGTH
.lcomm output,LENGTH

.text
	.align	2
	.global	main
	.type	main, %function
main:
	mov	r3, 1
	ldr	r0, =input
	strb	r3, [r0]

	ldr	r0, =scalar100
	ldr	r1, =input
	ldr	r2, =output
	bl	factorial

	mov	r2, 0
lstart:
	ldrb	r3, [r0], 1
	add	r2, r2, r3
	subs	r1, r1, 1
	bne	lstart
	
	mov	r1, r2
	ldr	r0, =sumstring
	bl	printf
	
	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	factorial.s

.syntax unified

# this computes the factorial of the number passed 
#
# inputs
#   r0 - the number used for factorial
#   r1 - pointer to input vector of bytes
#   r2 - pointer to output vector of bytes
#
# outputs
#   r0 - output vector pointer
#   r1 - length of output vector

number	.req r4
iptr	.req r5
ilen	.req r6
tmp	.req r7
counter	.req r8
optr	.req r9

.text
	.align	2
	.global	factorial
	.type	factorial, %function
factorial:
	stmfd   sp!, {r4-r9, lr}

	cmp	r0, 2
	bge	factorial_ok
	mov	r0, r1
	mov	r1, 1
	bl	copybytes
	b	factorial_end
factorial_ok:
	mov	number, r0
	mov	iptr, r1
	mov	optr, r2
	mov	ilen, 1
	mov	counter, 2
	mov	r0, optr
factorial_start:
	mov	r0, optr
	mov	r1, ilen
	add	r1, r1, 1
bclear:
	bl	clearbytes
aclear:
        mov     r0, iptr
        mov     r1, ilen
        mov     r2, counter
        mov     r3, optr
bmis:
        bl      mul_int_string
amis:
	teq	counter, number
	beq	factorial_last
	mov	ilen, r1
	mov	r2, iptr
bcopy:
	bl	copybytes
acopy:
	add	counter, counter, 1
	b	factorial_start
factorial_last:
	mov	counter, r0
	mov	tmp, r1
	mov	r0, iptr
	mov	r1, ilen
	bl	clearbytes
	mov	r1, tmp
	mov	r0, counter
factorial_end:
	ldmfd   sp!, {r4-r9, pc}

	test_factorial.s

.syntax unified

.macro dofac s
	mov	r3, 1
	ldr	r0, =input
	strb	r3, [r0]
	ldr	r0, =\s
	ldr	r1, =input
	ldr	r2, =output
	bl	factorial

	ldr	r2, =print_vector
	bl	printbytes

	ldr	r2, =print_vector
	ldr	r1, =\s
	ldr	r0, =outstring
	bl	printf

	ldr	r0, =output
	ldr	r1, =oLENGTH
	bl	clearbytes
.endm

.equ	iLENGTH,1
.equ	ipLENGTH,200
.equ	oLENGTH,200

.equ	scalar1,1
.equ	scalar2,2
.equ	scalar3,3
.equ	scalar4,4
.equ	scalar5,5
.equ	scalar6,6
.equ	scalar7,7
.equ	scalar8,8
.equ	scalar9,9
.equ	scalar10,10
.equ	scalar11,11
.equ	scalar12,12
.equ	scalar13,13
.equ	scalar14,14
.equ	scalar15,15
.equ	scalar16,16
.equ	scalar17,17
.equ	scalar18,18
.equ	scalar19,19
.equ	scalar20,20
.equ	scalar30,30
.equ	scalar40,40
.equ	scalar50,50
.equ	scalar60,60
.equ	scalar70,70
.equ	scalar80,80
.equ	scalar90,90
.equ	scalar100,100

.section .rodata
instring:
.asciz "input string is %s\n"
outstring:
.asciz "number is %d and factorial is %s\n"

.section bss
.align	2
.lcomm print_vector,ipLENGTH
.lcomm output,oLENGTH
.lcomm input,oLENGTH

.text
	.align	2
	.global	main
	.type	main, %function
main:
	dofac scalar1
	dofac scalar2
	dofac scalar3
	dofac scalar4
	dofac scalar5
	dofac scalar6
	dofac scalar7
	dofac scalar8
	dofac scalar9
	dofac scalar10
	dofac scalar11
	dofac scalar12
	dofac scalar13
	dofac scalar14
	dofac scalar15
	dofac scalar16
	dofac scalar17
	dofac scalar18
	dofac scalar19
	dofac scalar20
	dofac scalar30
	dofac scalar40
	dofac scalar50
	dofac scalar60
	dofac scalar70
	dofac scalar80
	dofac scalar90
	dofac scalar100

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	divide.s

.syntax unified
# divide takes value in r0, divisor in r1 and returns dividend in r0 and modulus in r1 
	.global	divide
	.type	divide, %function
divide:
        stmfd   sp!, {lr}
# see http://infocenter.arm.com/help/topic/com.arm.doc.ihi0043d/IHI0043D_rtabi.pdf
	bl	__aeabi_uidivmod
	ldmfd   sp!, {pc}

	021.s

.syntax unified

.equ	SIZE, 10000
.equ	SIZEB, 40000

.align 4

aptr		.req r4
number		.req r4
sum		.req r5
tmp		.req r5
icount		.req r6
total		.req r7

.section .bss
.lcomm array,SIZEB

.section .rodata
resstring:
        .asciz "%d\n"

.text
.align  2
.global main
.type   main, %function
main:
        stmfd   sp!, {r4-r8, lr}
	mov	icount, 0
	ldr	aptr, =array
array_loop:
	mov	r0, icount
	bl	sum_factors
	str	r0, [aptr], 4
	add	icount, icount, 1
	ldr	tmp, =SIZE
	cmp	icount, tmp
	blt	array_loop

	ldr 	aptr, =array
	mov	tmp, 0
	ldr	icount, =SIZE
	mov	total, 0
ploop:
	ldr	r2, [aptr, tmp, lsl 2]
	cmp	r2, icount
	bge	pnext
	teq	tmp, r2
	beq	pnext
	ldr	r3, [aptr, r2, lsl 2]
	teq	tmp, r3
	bne	pnext
	add	total, total, tmp
pnext:
	add	tmp, tmp, 1
	cmp	tmp, icount
	bne	ploop
printme:
        mov     r1, total
        ldr     r0, =resstring  @ store address of start of string to r0
        bl      printf

	mov	r0, 0
        ldmfd   sp!, {r4-r8, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

.global sum_factors
.type   sum_factors, %function
sum_factors:
        stmfd   sp!, {r4-r6, lr}
	mov	number, r0
	mov	sum, 1
	mov	icount, 2
sf_loop:
	mul	r0, icount, icount
	cmp	r0, number
	bgt	sf_end
	mov	r0, number
	mov	r1, icount
	bl	divide
	teq	r1, 0
	bne	sf_next
	add	sum, sum, r0
	add	sum, sum, icount
sf_next:
	add	icount, icount, 1
	b	sf_loop
sf_end:	
	mov	r0, sum
        ldmfd   sp!, {r4-r6, pc}

	022.s

.syntax unified

.equ	comma, 44
.equ	ASCII, 64

.equ	NAMES, 5163 
# from perl -ne '$count = $_ =~ tr/,/,/; print $count,"\n"' ../names.txt

.equ	SIZE, 46448
#from wc -c ../names.txt


.align 4

names_ptr	.req r4
count		.req r5
nstart		.req r6
tmp		.req r7
nsize		.req r7
sorted_ptr	.req r7
start_ptr	.req r8
size_ptr	.req r9
swapped		.req r10

.section .bss
.lcomm namestart,NAMES<<1	@ need 16 bit ints (half words) to handle 5163
.lcomm namesize,NAMES		@ none of the names are > 255 characters so use bytes
.lcomm sorted,NAMES<<1
.lcomm printname,63
# actually namesize is superfluous; we know the the size of i is from istart to (i+1)start-3? (3 from 2 " and 1 ,)

.section .rodata
res_string:
        .asciz "%d\n"
names:
.asciz 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.text
.align  2
.global main
.type   main, %function
main:
        stmfd   sp!, {r4-r10, lr}

	bl	init_sorted
	bl	parse_names
	bl	vectored_bubblesort
	bl	compute_score
	mov	r1, r0
	ldr	r0, =res_string
	bl	printf

	mov	r0, 0
        ldmfd   sp!, {r4-r10, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

# init_sorted initialises the sorted list to i
.type   init_sorted, %function
init_sorted:
        stmfd   sp!, {r5, r7, lr}
	ldr	sorted_ptr, =sorted
	mov	count, 0
	ldr	r3, =NAMES
siloop:
	strh	count, [sorted_ptr], 2
	add	count, count, 1
	cmp	count, r3
	bne	siloop
        ldmfd   sp!, {r5, r7, pc}

# parse_names parses the name string and populates namestart and namesize lists
.type   parse_names, %function
parse_names:
        stmfd   sp!, {r4-r10, lr}
	ldr	names_ptr, =names
	ldr	start_ptr, =namestart
	ldr	size_ptr, =namesize
	mov	count, 0
	mov	nstart, 1
	ldr	r3, =SIZE
iloop:
	ldrb	r0, [names_ptr], 1
	add	count, count, 1
	teq	r0, 0			@ use .asciz for string so it is null-terminated
	beq	iloopend
	cmp	r0, #comma
	bne	iloop

	strh	nstart, [start_ptr], 2
	sub	nsize, count, nstart
	sub	nsize, nsize, 2
	strb	nsize, [size_ptr], 1
	add	nstart, count, 1

	cmp	count, r3
	blt	iloop
	beq	ilast
iloopend:
	strh	nstart, [start_ptr], 2
	sub	count, count, 2
	sub	nsize, count, nstart
	strb	nsize, [size_ptr]
ilast:
        ldmfd   sp!, {r4-r10, pc}


# vectored_bubblesort uses the indirection vector, sorted, and sorts the names by manipulating the contents of the vector
# we could use a different sorting algortithm, this is the simplest to implement but it is inefficient
.type   vectored_bubblesort, %function
vectored_bubblesort:
        stmfd   sp!, {r4-r10, lr}
	mov	swapped, 0
bubblestart:
	ldr	names_ptr, =names
	ldr	sorted_ptr, =sorted
	ldr	count, =NAMES
	sub	count, count, 1
bubbleloop:
	ldrh	r6, [sorted_ptr], 2
	ldr	start_ptr, =namestart
	add	start_ptr, start_ptr, r6, lsl 1
	ldr	size_ptr, =namesize
	add	size_ptr, size_ptr, r6

	ldrh	r0, [start_ptr]
	add	r0, r0, names_ptr
	ldrb	r1, [size_ptr]

	ldrh	r6, [sorted_ptr]
	ldr	start_ptr, =namestart
	add	start_ptr, start_ptr, r6, lsl 1
	ldr	size_ptr, =namesize
	add	size_ptr, size_ptr, r6

	ldrh	r2, [start_ptr]
	add	r2, r2, names_ptr
	ldrb	r3, [size_ptr]
	bl	compare

	cmp	r0, 1
	ldrheq	r0, [sorted_ptr, -2]
	ldrheq	r1, [sorted_ptr]
	strheq	r1, [sorted_ptr, -2]
	strheq	r0, [sorted_ptr]
	moveq	swapped, 1
	subs	count, count, 1
	bne	bubbleloop
	teq	swapped, 1
	mov	swapped, 0
	beq	bubblestart
        ldmfd   sp!, {r4-r10, pc}

# sumname takes start in r0, size in r1 and returns the sum of letters-ASCII in r0
.type   sumname, %function
sumname:
        stmfd   sp!, {lr}
	ldr	r2, =names
	add	r2, r2, r0
	mov	r0, 0
nextsumchar:
	ldrb	r3, [r2], 1
	sub	r3, r3, #ASCII
	add	r0, r0, r3
	subs	r1, r1, 1
	bne	nextsumchar
        ldmfd   sp!, {pc}

# compute_score computes the score from the sorted vector and returns it in r0
.type   compute_score, %function
compute_score:
        stmfd   sp!, {r4-r10, lr}
	mov 	r4, 0
	mov	count, 0
	ldr	sorted_ptr, =sorted
	ldr	r10, =NAMES
cs_start:
	ldrh	r6, [sorted_ptr], 2
	ldr	start_ptr, =namestart
	add	start_ptr, start_ptr, r6, lsl 1
	ldr	size_ptr, =namesize
	add	size_ptr, size_ptr, r6
	ldrh	r0, [start_ptr]
	ldrb	r1, [size_ptr]
	bl	sumname
	mov	r6, r0
	add	count, count, 1
	mul	r6, r6, count
	add	r4, r4, r6
	cmp	count, r10
	blt	cs_start

	mov	r0, r4
        ldmfd   sp!, {r4-r10, pc}

	compare.s

# compare implements the same functionality as the forth word of the
# same name.

# Compare the string specified by c-addr1 (r0) and u1 (r1) to the string 
# specified by c-addr2 (r2) and u2 (r3) . The strings are compared, beginning
# at the given addresses, character by character up to the length of the 
# shorter string, or until a difference is found. If both strings are the same
# up to the length of the shorter string, then the longer string is greater 
# than the shorter string. n is -1 if the string specified by c-addr1 and u1 
# is less than the string specified by c-addr2 and u2. n is zero if the 
# strings are equal. n is 1 if the string specified by c-addr1 and u1 is 
# greater than the string specified by c-addr2 and u2.

.syntax unified

.text

minlen	.req r4
val1	.req r5
val2	.req r6
count	.req r7

	.global	compare
	.type	compare, %function
compare:
        stmfd   sp!, {r4-r8, lr}
	mov	minlen, r1
	cmp	minlen, r3
	movgt	minlen, r3
	mov	count, 0
loopstart:
	ldrb	val1, [r0, count]
	ldrb	val2, [r2, count]
	cmp	val1, val2
	movlt	r0, -1
	movgt	r0, 1
	bne	loopend
	add	count, count,1
	cmp	count, minlen
	bne	loopstart
	cmp	r1, r3
	moveq	r0, 0
	movlt	r0, -1
	movgt	r0, 1
loopend:
        ldmfd   sp!, {r4-r8, pc}

	test_compare.s

.syntax unified

#.equ compare2,815518

number		.req r4

.macro compare_strings a b c d
	ldr	r0, =\a
	mov	r1, \b
	ldr	r2, =\c
	mov	r3, \d
	bl	compare

	ldr	r1, =\a
	ldr	r2, =\c
	mov	r3, r0
	ldr	r0, =comparestring
	bl	printf
.endm

.section .rodata
bob:
	.asciz "bob"
boob:
	.asciz "boob"
bobble:
	.asciz "bobble"
cat:
	.asciz "cat"
cattle:
	.asciz "cattle"
comparestring:
	.asciz "string1 is %s and string2 is %s comparison is %d\n"
linda:
	.asciz "LINDA"
lisa:
	.asciz "LISA"

.text
	.align	2
	.global	main
	.type	main, %function
main:
	compare_strings bob 3 boob 4
	compare_strings boob 4 bob 3 
	compare_strings bob 3 bobble 6
	compare_strings bobble 6 bob 3 
	compare_strings bobble 6 boob 4
	compare_strings boob 4 bobble 6 
	compare_strings bob 3 cat 3
	compare_strings cat 3 bob 3 
	compare_strings cattle 6 cat 3
	compare_strings cat 3 cattle 6 
	compare_strings bob 3 bob 3 
	compare_strings cat 3 cat 3
	compare_strings lisa 4 linda 5
	compare_strings linda 5 lisa 4 

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	023.s

.syntax unified

.equ	datum_size, 2
.equ	SIZE, 28123

.align 4

aptr		.req r4
sfcount		.req r4
sum		.req r5
bptr		.req r5
number		.req r6
total		.req r7
last		.req r8
addi		.req r9
icount		.req r9
tmp		.req r10

.section .bss
.lcomm array,SIZE<<1	@ use 16-bit ints for the list
.lcomm bitarray,SIZE

.section .rodata
resstring:
        .asciz "%d\n"

.text
.align  2
.global main
.type   main, %function
main:
        stmfd   sp!, {r4-r10, lr}
# store the abundant numbers to the vector array and set the elements corresponding 
# to the sum of the factors in the bit vector abundantbit
	mov	icount, 1
	mov	number, 0
	ldr	aptr, =array
	ldr	bptr, =bitarray
	ldr	last, =SIZE
array_loop:
	mov	r0, icount
	bl	sum_factors

	cmp	icount, r0
	bge	array_next
	strhlt	icount, [aptr], #datum_size
	addlt	number, number, 1
	cmp	r0, last
	movlt	r1, 1
	strblt	r1, [bptr, icount]
array_next:
	add	icount, icount, 1
	cmp	icount, last
	blt	array_loop

	mov	total, 0
# add all of the integers until we reach the first abundant number
	ldr 	aptr, =array
	ldrh	tmp, [aptr]
sloop:
	subs	tmp, tmp, 1
	add	total, total, tmp
	bne	sloop

	ldr	aptr, =array
	ldrh	r0, [aptr]	@ r0 is the index of the outer loop
ploop:
	ldr	aptr, =array
	ldr	bptr, =bitarray
        mov	addi, 1
	mov	r3, 0		@ r3 is the index of the inner loop
iloop:
	ldrh	tmp, [aptr], #datum_size
	cmp	r0, tmp
	blt	ilast
	sub	r1, r0, tmp
	ldrb	r2, [bptr, r1]
	teq	r2, 1
	moveq	addi, 0
	beq	ilast
	add	r3, r3, 1
	cmp	number, r3
	bne	iloop
ilast:
	teq	addi, 1
	addeq	total, total, r0
	add	r0, r0, 1
	cmp	r0, last
	bne	ploop
printme:
        mov     r1, total
        ldr     r0, =resstring  @ store address of start of string to r0
        bl      printf

	mov	r0, 0
        ldmfd   sp!, {r4-r10, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

.global sum_factors
.type   sum_factors, %function
sum_factors:
        stmfd   sp!, {r4-r6, lr}
	mov	number, r0
	mov	sum, 1
	mov	sfcount, 2
sf_loop:
	mul	r0, sfcount, sfcount
	cmp	r0, number
	bgt	sf_end
	mov	r0, number
	mov	r1, sfcount
	bl	divide
	teq	r1, 0
	bne	sf_next
	add	sum, sum, r0
	cmp	r0, sfcount
	addne	sum, sum, sfcount
sf_next:
	add	sfcount, sfcount, 1
	b	sf_loop
sf_end:	
	mov	r0, sum
        ldmfd   sp!, {r4-r6, pc}

	024.s

.syntax unified

# - see http://en.wikipedia.org/wiki/Factorial_number_system
# - and http://en.wikipedia.org/wiki/Permutation

.macro check_digit a
	ldr	r0, =vector
	mov	r1, VSIZE
	mov	r2, \a
	bl	contains
	teq	r0, 1
	bne	mloop
.endm

.macro copy_vector a b
	ldr	r0, =\a
	add	r0, r0, 1
	mov	r1, VSIZE
	ldr	r2, =\b
	bl	copybytes
.endm

# this macro lifted from test_add_digit_strings.s 
# the usage of add_digit_strings is tricky because
# the fifth parameter must be passed on the stack

.macro add_strings a al b bl c
        stmfd   sp!, {r4}       @ stash r4 on the stack - we destroy it in add_digit_strings
        ldr     r0, =\c
        stmfd   sp!, {r0}       @ this is the fifth parameter for the subroutine
        ldr     r0, =\a
        ldr     r1, =\al
        ldr     r2, =\b
        ldr     r3, =\bl
        bl      add_digit_strings
        add     sp, sp, 4       @ revert sp to before (1)
        ldmfd   sp!, {r4}       @ and get stashed r4
.endm

.equ	datum_size, 2
.equ	SIZE, 2080
.equ	VSIZE, 10

.align 4

icount		.req r4

.section .data
.align  2
vector:
.byte 2, 7, 8, 0, 0, 0, 0, 0, 0, 0
increment:
.byte 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

.section .bss
.lcomm output, VSIZE
.lcomm print_vector, VSIZE

.section .rodata
outstring:
.asciz "%s\n"

.text
.align  2
.global main
.type   main, %function
main:
        stmfd   sp!, {r4, lr}
	ldr	icount, =SIZE
mloop:
	add_strings vector 10 increment 10 output
	copy_vector output vector
	check_digit 0
	check_digit 1
	check_digit 2
	check_digit 3
	check_digit 4
	check_digit 5
	check_digit 6
	check_digit 7
	check_digit 8
	check_digit 9
	subs	icount, icount, 1
	bne	mloop
printme:
	ldr	r0, =vector
	mov	r1, 10
        ldr     r2, =print_vector
        bl      printbytes

        ldr     r1, =print_vector
        ldr     r0, =outstring
        bl      printf

	mov	r0, 0
        ldmfd   sp!, {r4, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

# contains takes a pointer to a byte vector in r0, and a size in r1 and a scalar in r2
# it returns 1 in r0 if the vector contains the scalar and 0 otherwise
.global contains
.type   contains, %function
contains:
        stmfd   sp!, {r4, lr}
	mov	r4, r0
	mov	r0, 0
contains_start:
	ldrb	r3, [r4], 1
	cmp	r3, r2
	moveq	r0, 1
	beq	contains_end
	subs	r1, r1, 1
	bne	contains_start
contains_end:	
        ldmfd   sp!, {r4, pc}

	025.s

.syntax unified

.macro copy_vector a b
	ldr	r0, =\a
	add	r0, r0, 1
	mov	r1, VSIZE
	ldr	r2, =\b
	bl	copybytes
.endm

# this macro lifted from test_add_digit_strings.s 
# the usage of add_digit_strings is tricky because
# the fifth parameter must be passed on the stack

.macro add_strings a al b bl c
        stmfd   sp!, {r4}       @ stash r4 on the stack - we destroy it in add_digit_strings
        ldr     r0, =\c
        stmfd   sp!, {r0}       @ this is the fifth parameter for the subroutine
        ldr     r0, =\a
        ldr     r1, =\al
        ldr     r2, =\b
        ldr     r3, =\bl
        bl      add_digit_strings
        add     sp, sp, 4       @ revert sp to before (1)
        ldmfd   sp!, {r4}       @ and get stashed r4
.endm

.macro add_and_test ivector ovector
	add_strings \ovector VSIZE \ivector VSIZE output
	copy_vector output \ovector
	add	icount, icount, 1
	ldr	vptr, =\ovector
	ldrb	tmp, [vptr]
	teq	tmp, 0
	bne	printme
.endm

.equ	VSIZE, 1000

.align 4

vptr		.req r2
tmp		.req r3
icount		.req r4

.section .data
.align  2
vector1:
.byte 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
vector2:
.byte 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

.section .bss
.lcomm output, VSIZE

.section .rodata
resstring:
.asciz "%d\n"

.text
.align  2
.global main
.type   main, %function
main:
        stmfd   sp!, {r4, lr}
	mov	icount, 2
mloop:
	add_and_test vector1 vector2
	add_and_test vector2 vector1
	b	mloop
printme:
	mov	r1, icount
        ldr     r0, =resstring
        bl      printf

	mov	r0, 0
        ldmfd   sp!, {r4, pc}
        mov     r7, 1           @ set r7 to 1 - the syscall for exit
        swi     0               @ then invoke the syscall from linux

	prime_vector.s

.syntax unified
.equ	word, 4

# this subroutine returns 1 if the passed number is prime; 0 if not
#
# inputs
#   r0 - integer to test
#   r1 - pointer to vector of prime integers smaller than r0
#   r2 - length of vector passed in r1
#
# outputs
#   r0 - prime boolean

number		.req r4
vptr		.req r5
tmp		.req r6
squared		.req r7
vsize		.req r8
vcount		.req r9

.global prime_vector
.type prime_vector, %function
.text
.align	2

prime_vector:
	stmfd	sp!, {r4-r9, lr}
	mov	number, r0
	mov	vptr, r1
	mov	vsize, r2
	mov	vcount, 0
nexti:
	ldr	tmp, [vptr], word
	mul	squared, tmp, tmp
	cmp	squared, number
	movgt	r0, 1
	bgt	last
	mov	r0, number
	mov	r1, tmp
	bl	divide
	teq	r1, 0
	moveq	r0, 0
	beq	last
	add	vcount, vcount, 1
	cmp	vcount, vsize
	blt	nexti
	movge	r0, 0
last:
	ldmfd	sp!, {r4-r9, pc}

	test_prime_vector.s

.syntax unified
.equ	word,4

number		.req r4
primeflag	.req r5
numprimes	.req r6
primes_ptr	.req r7

.macro num_is_prime a
_start\@:
	mov	number, \a
	mov	r0, number
	mov	r1, primes_ptr
	mov	r2, numprimes
	bl	prime_vector
	mov	primeflag, r0
	teq	r0, 1
	streq	number, [primes_ptr, numprimes, lsl 2]
	addeq	numprimes, numprimes, 1

	mov	r2, primeflag
	mov	r1, number
	ldr	r0, =primestring
	bl	printf
.endm

.section .bss
.lcomm primes_vector, 80

.section .rodata
	.align	2
primestring:
	.asciz "num %d primality is %d\n"

.text
	.align	2
	.global	main
	.type	main, %function
main:
	ldr	primes_ptr, =primes_vector
	mov	numprimes, 1
	mov	number, 2
	strb	number, [primes_ptr]

	num_is_prime 3
	num_is_prime 4
	num_is_prime 5
	num_is_prime 7
	num_is_prime 9
	num_is_prime 11
	num_is_prime 13
	num_is_prime 15
	num_is_prime 17
	num_is_prime 19
	num_is_prime 20
	num_is_prime 21
	num_is_prime 23
	num_is_prime 25
	num_is_prime 27
	num_is_prime 29

last:
	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	test_divide.s

.equ num0,7830
.equ num3,783
.equ num7,7847
.equ num8,78
.equ num9,7

.syntax unified

.macro remainder num
	ldr	r1, =\num
	ldr	r0, =numstring
	bl	printf

	ldr	r0, =\num
	mov	r1, 7
	bl	divide
	mov	r2, r0
	ldr	r0, =remainderstring
	bl	printf
.endm

.section .rodata
	.align	2
numstring:
	.asciz "num is %d\n"
remainderstring:
	.asciz "remainder is %d and dividend is %d\n"

.text
	.align	2
	.global	main
	.type	main, %function
main:
	remainder  num0
	remainder  num7
	remainder  num3
	remainder  num8
	remainder  num9

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux

	long_divide.s

.syntax unified
# long_divide takes low numerator in r0, high numerator in r1, low denominator in r2 and high denominator in r3
# returns low quotient in r0, high quotient in r1, low remainder in r2 and high remainder in r3
.global	long_divide
.type	long_divide, %function
long_divide:
        stmfd   sp!, {lr}
# see https://codereview.chromium.org/5302007/diff/12001/arch/arm/lib/_uldivmod.S
	bl	__aeabi_uldivmod
	ldmfd   sp!, {pc}

	test_long_divide.s

#I is 71 and DIVI is 8462696833
#I is 839 and DIVI is 716151937
#I is 1471 and DIVI is 408464633
#I is 6857 and DIVI is 87625999
#I is 59569 and DIVI is 10086647
#I is 104441 and DIVI is 5753023
#I is 486847 and DIVI is 1234169

.syntax unified

.equ num0,6857
.equ num1,59569
.equ num2,104441
.equ num3,486847
.equ num4,4
.equ num5,4500

.equ numhi,139          @ 0x8b
.equ numlo,3851020999   @ 0xe589eac7

tmp0	.req r4
tmp1	.req r5

.macro long_divide_m num
        ldr     r3, =numhi
        ldr     r2, =numlo
        ldr     r0, =numeratorstring
        bl      printf

        mov     r3, 0
        ldr     r2, =\num
        ldr     r0, =denominatorstring
        bl      printf

	ldr	r0, =numlo
	ldr	r1, =numhi
	ldr	r2, =\num
	mov	r3, 0
	bl	long_divide

	mov	r4, r2
	mov	r5, r3
        mov     r3, r1
        mov     r2, r0
        ldr     r0, =quotientstring
        bl      printf

	mov	r3, r5
	mov	r2, r4
        ldr     r0, =remainderstring
        bl      printf
.endm

.section .rodata
	.align	2
numeratorstring:
	.asciz "numerator is %llu\n"
denominatorstring:
	.asciz "denominator is %llu\n"
quotientstring:
	.asciz "quotient is %llu\n"
remainderstring:
	.asciz "remainder is %llu\n"
r0string:
	.asciz "r0 is %x\n"
r1string:
	.asciz "r1 is %x\n"
r2string:
	.asciz "r2 is %x\n"
r3string:
	.asciz "r3 is %x\n"

.text
	.align	2
	.global	main
	.type	main, %function
main:
	long_divide_m  num0
	long_divide_m  num1
	long_divide_m  num2
	long_divide_m  num3
	long_divide_m  num4
	long_divide_m  num5

	mov	r0, 0
	mov	r7, 1		@ set r7 to 1 - the syscall for exit
	swi	0		@ then invoke the syscall from linux