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# Instructions | ||
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To try and encourage more sales of different books from a popular 5 book series, a bookshop has decided to offer discounts on multiple book purchases. | ||
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One copy of any of the five books costs $8. | ||
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If, however, you buy two different books, you get a 5% discount on those two books. | ||
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If you buy 3 different books, you get a 10% discount. | ||
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If you buy 4 different books, you get a 20% discount. | ||
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If you buy all 5, you get a 25% discount. | ||
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Note that if you buy four books, of which 3 are different titles, you get a 10% discount on the 3 that form part of a set, but the fourth book still costs $8. | ||
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Your mission is to write code to calculate the price of any conceivable shopping basket (containing only books of the same series), giving as big a discount as possible. | ||
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For example, how much does this basket of books cost? | ||
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- 2 copies of the first book | ||
- 2 copies of the second book | ||
- 2 copies of the third book | ||
- 1 copy of the fourth book | ||
- 1 copy of the fifth book | ||
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One way of grouping these 8 books is: | ||
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- 1 group of 5 (1st, 2nd,3rd, 4th, 5th) | ||
- 1 group of 3 (1st, 2nd, 3rd) | ||
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This would give a total of: | ||
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- 5 books at a 25% discount | ||
- 3 books at a 10% discount | ||
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Resulting in: | ||
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- 5 × (100% - 25%) × $8 = 5 × $6.00 = $30.00, plus | ||
- 3 × (100% - 10%) × $8 = 3 × $7.20 = $21.60 | ||
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Which equals $51.60. | ||
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However, a different way to group these 8 books is: | ||
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- 1 group of 4 books (1st, 2nd, 3rd, 4th) | ||
- 1 group of 4 books (1st, 2nd, 3rd, 5th) | ||
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This would give a total of: | ||
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- 4 books at a 20% discount | ||
- 4 books at a 20% discount | ||
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Resulting in: | ||
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- 4 × (100% - 20%) × $8 = 4 × $6.40 = $25.60, plus | ||
- 4 × (100% - 20%) × $8 = 4 × $6.40 = $25.60 | ||
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Which equals $51.20. | ||
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And $51.20 is the price with the biggest discount. |
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*.o | ||
tests |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"book_store.asm" | ||
], | ||
"test": [ | ||
"book_store_test.c" | ||
], | ||
"example": [ | ||
".meta/example.asm" | ||
] | ||
}, | ||
"blurb": "To try and encourage more sales of different books from a popular 5 book series, a bookshop has decided to offer discounts of multiple-book purchases.", | ||
"source": "Inspired by the harry potter kata from Cyber-Dojo.", | ||
"source_url": "https://cyber-dojo.org" | ||
} |
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default rel | ||
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section .rodata | ||
price: dq 0, 3000, 2560, 2160, 1520, 800 | ||
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section .text | ||
global total | ||
total: | ||
cld | ||
sub rsp, 48 ; reserve stack space | ||
xor rax, rax | ||
mov rcx, 5 | ||
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.zero: | ||
mov [rsp + 8*rcx], rax ; set book tally to 0 | ||
loop .zero | ||
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mov rcx, rdi | ||
jrcxz .sort ; skip read loop if there are no books | ||
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.read: | ||
lodsw | ||
inc qword [rsp + 8*rax] ; increment book tally | ||
loop .read | ||
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.sort: | ||
; Bubble sort | ||
xor r8, r8 ; number of swaps during scan | ||
mov rcx, 4 | ||
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.scan: | ||
mov r9, qword [rsp + 8*rcx] | ||
mov r10, qword [rsp + 8*rcx + 8] | ||
cmp r9, r10 | ||
jbe .next_pair | ||
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mov qword [rsp + 8*rcx], r10 | ||
mov qword [rsp + 8*rcx + 8], r9 | ||
inc r8 ; count swap | ||
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.next_pair: | ||
loop .scan | ||
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test r8, r8 | ||
jnz .sort ; repeat until a scan has no swaps | ||
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.differences: | ||
; Compute group counts | ||
mov rdx, qword [rsp + 8] ; groups of 5 | ||
mov r8, qword [rsp + 16] | ||
mov r9, qword [rsp + 24] | ||
mov r10, qword [rsp + 32] | ||
mov r11, qword [rsp + 40] | ||
sub r11, r10 | ||
sub r10, r9 | ||
sub r9, r8 | ||
sub r8, rdx | ||
mov qword [rsp + 16], r8 ; groups of 4 | ||
mov qword [rsp + 24], r9 ; groups of 3 | ||
mov qword [rsp + 32], r10 ; groups of 2 | ||
mov qword [rsp + 40], r11 ; groups of 1 | ||
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; Two groups of 4 books are cheaper than a group of 5 books and a group of 4 books | ||
mov r8, qword [rsp + 8] ; groups of 5 books | ||
mov r9, qword [rsp + 16] ; groups of 4 books | ||
mov r10, qword [rsp + 24] ; groups of 3 books | ||
mov r11, r10 | ||
cmp r8, r10 | ||
cmovb r11, r8 ; r11 now has min(groups of 5 books, groups of 3 books) | ||
sub r8, r11 | ||
sub r10, r11 | ||
shl r11, 1 | ||
add r9, r11 | ||
mov qword [rsp + 8], r8 | ||
mov qword [rsp + 16], r9 | ||
mov qword [rsp + 24], r10 | ||
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xor r10, r10 | ||
lea r11, [price] | ||
mov rcx, 5 | ||
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.multiply: | ||
mov rax, qword [rsp + rcx*8] ; number of groups | ||
mov rdx, qword [r11 + rcx*8] ; price of each group | ||
mul rdx | ||
add r10, rax ; accumulate total price | ||
loop .multiply | ||
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mov rax, r10 | ||
add rsp, 48 ; restore original stack pointer | ||
ret | ||
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%ifidn __OUTPUT_FORMAT__,elf64 | ||
section .note.GNU-stack noalloc noexec nowrite progbits | ||
%endif |
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# This is an auto-generated file. | ||
# | ||
# Regenerating this file via `configlet sync` will: | ||
# - Recreate every `description` key/value pair | ||
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications | ||
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion) | ||
# - Preserve any other key/value pair | ||
# | ||
# As user-added comments (using the # character) will be removed when this file | ||
# is regenerated, comments can be added via a `comment` key. | ||
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[17146bd5-2e80-4557-ab4c-05632b6b0d01] | ||
description = "Only a single book" | ||
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[cc2de9ac-ff2a-4efd-b7c7-bfe0f43271ce] | ||
description = "Two of the same book" | ||
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[5a86eac0-45d2-46aa-bbf0-266b94393a1a] | ||
description = "Empty basket" | ||
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[158bd19a-3db4-4468-ae85-e0638a688990] | ||
description = "Two different books" | ||
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[f3833f6b-9332-4a1f-ad98-6c3f8e30e163] | ||
description = "Three different books" | ||
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[1951a1db-2fb6-4cd1-a69a-f691b6dd30a2] | ||
description = "Four different books" | ||
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[d70f6682-3019-4c3f-aede-83c6a8c647a3] | ||
description = "Five different books" | ||
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[78cacb57-911a-45f1-be52-2a5bd428c634] | ||
description = "Two groups of four is cheaper than group of five plus group of three" | ||
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[f808b5a4-e01f-4c0d-881f-f7b90d9739da] | ||
description = "Two groups of four is cheaper than groups of five and three" | ||
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[fe96401c-5268-4be2-9d9e-19b76478007c] | ||
description = "Group of four plus group of two is cheaper than two groups of three" | ||
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[68ea9b78-10ad-420e-a766-836a501d3633] | ||
description = "Two each of first four books and one copy each of rest" | ||
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[c0a779d5-a40c-47ae-9828-a340e936b866] | ||
description = "Two copies of each book" | ||
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[18fd86fe-08f1-4b68-969b-392b8af20513] | ||
description = "Three copies of first book and two each of remaining" | ||
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[0b19a24d-e4cf-4ec8-9db2-8899a41af0da] | ||
description = "Three each of first two books and two each of remaining books" | ||
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[bb376344-4fb2-49ab-ab85-e38d8354a58d] | ||
description = "Four groups of four are cheaper than two groups each of five and three" | ||
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[5260ddde-2703-4915-b45a-e54dbbac4303] | ||
description = "Check that groups of four are created properly even when there are more groups of three than groups of five" | ||
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[b0478278-c551-4747-b0fc-7e0be3158b1f] | ||
description = "One group of one and four is cheaper than one group of two and three" | ||
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[cf868453-6484-4ae1-9dfc-f8ee85bbde01] | ||
description = "One group of one and two plus three groups of four is cheaper than one group of each size" |
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AS = nasm | ||
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CFLAGS = -g -Wall -Wextra -pedantic -Werror | ||
LDFLAGS = | ||
ASFLAGS = -g -F dwarf -Werror | ||
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ifeq ($(shell uname -s),Darwin) | ||
ifeq ($(shell sysctl -n hw.optional.arm64 2>/dev/null),1) | ||
ALL_CFLAGS = -target x86_64-apple-darwin | ||
endif | ||
ALL_LDFLAGS = -Wl,-pie | ||
ALL_ASFLAGS = -f macho64 --prefix _ | ||
else | ||
ALL_LDFLAGS = -pie -Wl,--fatal-warnings | ||
ALL_ASFLAGS = -f elf64 | ||
endif | ||
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ALL_CFLAGS += -std=c99 -fPIE -m64 $(CFLAGS) | ||
ALL_LDFLAGS += $(LDFLAGS) | ||
ALL_ASFLAGS += $(ASFLAGS) | ||
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C_OBJS = $(patsubst %.c,%.o,$(wildcard *.c)) | ||
AS_OBJS = $(patsubst %.asm,%.o,$(wildcard *.asm)) | ||
ALL_OBJS = $(filter-out example.o,$(C_OBJS) $(AS_OBJS) vendor/unity.o) | ||
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CC_CMD = $(CC) $(ALL_CFLAGS) -c -o $@ $< | ||
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all: tests | ||
@./$< | ||
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tests: $(ALL_OBJS) | ||
@$(CC) $(ALL_CFLAGS) $(ALL_LDFLAGS) -o $@ $(ALL_OBJS) | ||
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%.o: %.asm | ||
@$(AS) $(ALL_ASFLAGS) -o $@ $< | ||
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%.o: %.c | ||
@$(CC_CMD) | ||
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vendor/unity.o: vendor/unity.c vendor/unity.h vendor/unity_internals.h | ||
@$(CC_CMD) | ||
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clean: | ||
@rm -f *.o vendor/*.o tests | ||
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.PHONY: all clean |
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section .text | ||
global total | ||
total: | ||
; Provide your implementation here | ||
ret | ||
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%ifidn __OUTPUT_FORMAT__,elf64 | ||
section .note.GNU-stack noalloc noexec nowrite progbits | ||
%endif |
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