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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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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"book_store.s" | ||
], | ||
"test": [ | ||
"book_store_test.c" | ||
], | ||
"example": [ | ||
".meta/example.s" | ||
] | ||
}, | ||
"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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.text | ||
.globl total | ||
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/* void count(size_t basket_count, const uint16_t *basket, uint16_t *tally); */ | ||
count: | ||
lsl x0, x0, #1 /* number of bytes occupied by array */ | ||
cbz x0, .return | ||
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.loop: | ||
sub x0, x0, #2 | ||
ldrh w10, [x1, x0] /* book */ | ||
lsl w10, w10, #1 | ||
ldrh w11, [x2, x10] | ||
add w11, w11, #1 /* increment tally */ | ||
strh w11, [x2, x10] | ||
cbnz x0, .loop | ||
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.return: | ||
ret | ||
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/* extern void sort(uint16_t *tally) */ | ||
sort: | ||
mov w9, #4 /* offsets 4..10 for books 2..5 */ | ||
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.outer: | ||
ldrh w12, [x0, x9] | ||
mov w10, w9 /* offset for inner loop of insertion sort */ | ||
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.inner: | ||
sub w11, w10, #2 | ||
cbz w11, .exit | ||
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ldrh w13, [x0, x11] | ||
cmp w13, w12 | ||
bge .exit | ||
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strh w13, [x0, x10] | ||
mov w10, w11 | ||
b .inner | ||
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.exit: | ||
strh w12, [x0, x10] | ||
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add w9, w9, #2 | ||
cmp w9, #10 | ||
ble .outer | ||
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ret | ||
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/* void difference(uint16_t *tally); */ | ||
difference: | ||
ldrh w10, [x0, #10] | ||
ldrh w11, [x0, #8] | ||
sub w12, w11, w10 | ||
strh w12, [x0, #8] /* tally[4] - tally[5] */ | ||
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ldrh w10, [x0, #6] | ||
sub w12, w10, w11 | ||
strh w12, [x0, #6] /* tally[3] - tally[4] */ | ||
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ldrh w11, [x0, #4] | ||
sub w12, w11, w10 | ||
strh w12, [x0, #4] /* tally[2] - tally[3] */ | ||
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ldrh w10, [x0, #2] | ||
sub w12, w10, w11 | ||
strh w12, [x0, #2] /* tally[1] - tally[2] */ | ||
ret | ||
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/* void adjust(uint16_t *tally); */ | ||
adjust: | ||
ldrh w11, [x0, #6] | ||
ldrh w12, [x0, #8] | ||
ldrh w13, [x0, #10] | ||
cmp w11, w13 | ||
csel w14, w11, w13, lt /* smallest of tallies for 3 and 5 books */ | ||
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sub w11, w11, w14 | ||
sub w13, w13, w14 /* replace each pair of groups of 3 and 5 books */ | ||
lsl w14, w14, #1 /* with pairs of groups of 4 books */ | ||
add w12, w12, w14 | ||
strh w11, [x0, #6] | ||
strh w12, [x0, #8] | ||
strh w13, [x0, #10] | ||
ret | ||
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/* uint32_t score(uint16_t *tally); */ | ||
score: | ||
ldrh w11, [x0, #2] | ||
mov w10, #800 /* price of 1 book */ | ||
mul w12, w10, w11 | ||
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ldrh w11, [x0, #4] | ||
mov w10, #1520 /* price of 2 books */ | ||
madd w12, w10, w11, w12 | ||
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ldrh w11, [x0, #6] | ||
mov w10, #2160 /* price of 3 books */ | ||
madd w12, w10, w11, w12 | ||
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ldrh w11, [x0, #8] | ||
mov w10, #2560 /* price of 4 books */ | ||
madd w12, w10, w11, w12 | ||
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ldrh w11, [x0, #10] | ||
mov w10, #3000 /* price of 5 books */ | ||
madd w0, w10, w11, w12 | ||
ret | ||
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/* extern uint32_t total(size_t basket_count, const uint16_t *basket); */ | ||
total: | ||
mov x15, lr /* save return address */ | ||
stp xzr, xzr, [sp, #-16]! | ||
mov x2, sp | ||
bl count | ||
mov x0, sp | ||
bl sort | ||
bl difference | ||
bl adjust | ||
bl score | ||
add sp, sp, #16 | ||
ret x15 |
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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 = aarch64-linux-gnu-as | ||
CC = aarch64-linux-gnu-gcc | ||
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CFLAGS = -g -Wall -Wextra -pedantic -Werror | ||
LDFLAGS = | ||
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ALL_LDFLAGS = -pie -Wl,--fatal-warnings | ||
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ALL_CFLAGS = -std=c99 -fPIE $(CFLAGS) | ||
ALL_LDFLAGS += $(LDFLAGS) | ||
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C_OBJS = $(patsubst %.c,%.o,$(wildcard *.c)) | ||
AS_OBJS = $(patsubst %.s,%.o,$(wildcard *.s)) | ||
ALL_OBJS = $(filter-out example.o,$(C_OBJS) $(AS_OBJS) vendor/unity.o) | ||
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CC_CMD = $(CC) $(ALL_CFLAGS) -c -o $@ $< | ||
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all: tests | ||
qemu-aarch64 -L /usr/aarch64-linux-gnu ./$< | ||
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tests: $(ALL_OBJS) | ||
@$(CC) $(ALL_CFLAGS) $(ALL_LDFLAGS) -o $@ $(ALL_OBJS) | ||
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%.o: %.s | ||
@$(AS) -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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.text | ||
.globl total | ||
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total: | ||
ret |
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