How to resolve the algorithm Four is the number of letters in the ... step by step in the C programming language
Published on 7 June 2024 03:52 AM
How to resolve the algorithm Four is the number of letters in the ... step by step in the C programming language
Table of Contents
Problem Statement
The Four is ... sequence is based on the counting of the number of letters in the words of the (never─ending) sentence:
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Four is the number of letters in the ... step by step in the C programming language
This C program determines the number of letters in the first n words of a sequence, where n can range from 1 to 10,000,000. It then prints the sentence describing the results.
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Header Files:
- The program includes various header files for functionality such as character manipulation, locale handling, boolean operations, standard input/output, integer types, and the GLib library.
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Data Structures:
number_names: Structure representing cardinal and ordinal names for small numbers (0-19).tens: Structure representing cardinal and ordinal names for tens (20-90).named_number: Structure representing cardinal and ordinal names for large numbers (hundred, thousand, etc.) along with their numeric values.word_t: Structure representing a word with its offset and length in a string.word_list: Structure representing a list of words with a GArray ofword_tstructures and a GString containing the concatenated words.
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Functions:
get_small_name: Returns the cardinal or ordinal name for a small number (0-19) based on theordinalparameter.get_big_name: Similar toget_small_namebut for large numbers (hundred, thousand, etc.).get_named_number: Finds the named number corresponding to a given integer value.word_list_create: Initializes aword_liststructure.word_list_destroy: Frees the memory allocated for aword_list.word_list_clear: Clears the words and string in aword_list.word_list_append: Appends a word to theword_list.word_list_get: Gets aword_tstructure at the specified index in theword_list.word_list_extend: Extends the last word in theword_listby appending a string.append_number_name: Recursively appends the cardinal or ordinal name for a given integer to theword_list, handling small numbers, tens, and large numbers.count_letters: Counts the number of alphabetic characters in a word in theword_list.sentence: Generates a sentence describing the number of letters in the firstcountwords of a sequence.sentence_length: Calculates the length of a sentence in theword_list.
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Main Function:
- Configures the locale.
- Iterates through different values of
nand callssentenceto generate the corresponding sentence. - Prints the number of letters in the first
nwords and the length of the sentence. - For specific values of
n, it also prints thenth word and its letter count. - Cleans up the allocated memory.
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Program Flow:
- The program reads a value for
nand initializes aword_liststructure. - It generates the sentence using the
sentencefunction and prints the number of letters in the firstnwords. - For specific values of
n, it also prints thenth word and its letter count. - Finally, it frees the allocated memory for the
word_list.
- The program reads a value for
Source code in the c programming language
#include <ctype.h>
#include <locale.h>
#include <stdbool.h>
#include <stdio.h>
#include <stdint.h>
#include <glib.h>
typedef uint64_t integer;
typedef struct number_names_tag {
const char* cardinal;
const char* ordinal;
} number_names;
const number_names small[] = {
{ "zero", "zeroth" }, { "one", "first" }, { "two", "second" },
{ "three", "third" }, { "four", "fourth" }, { "five", "fifth" },
{ "six", "sixth" }, { "seven", "seventh" }, { "eight", "eighth" },
{ "nine", "ninth" }, { "ten", "tenth" }, { "eleven", "eleventh" },
{ "twelve", "twelfth" }, { "thirteen", "thirteenth" },
{ "fourteen", "fourteenth" }, { "fifteen", "fifteenth" },
{ "sixteen", "sixteenth" }, { "seventeen", "seventeenth" },
{ "eighteen", "eighteenth" }, { "nineteen", "nineteenth" }
};
const number_names tens[] = {
{ "twenty", "twentieth" }, { "thirty", "thirtieth" },
{ "forty", "fortieth" }, { "fifty", "fiftieth" },
{ "sixty", "sixtieth" }, { "seventy", "seventieth" },
{ "eighty", "eightieth" }, { "ninety", "ninetieth" }
};
typedef struct named_number_tag {
const char* cardinal;
const char* ordinal;
integer number;
} named_number;
const named_number named_numbers[] = {
{ "hundred", "hundredth", 100 },
{ "thousand", "thousandth", 1000 },
{ "million", "millionth", 1000000 },
{ "billion", "biliionth", 1000000000 },
{ "trillion", "trillionth", 1000000000000 },
{ "quadrillion", "quadrillionth", 1000000000000000ULL },
{ "quintillion", "quintillionth", 1000000000000000000ULL }
};
const char* get_small_name(const number_names* n, bool ordinal) {
return ordinal ? n->ordinal : n->cardinal;
}
const char* get_big_name(const named_number* n, bool ordinal) {
return ordinal ? n->ordinal : n->cardinal;
}
const named_number* get_named_number(integer n) {
const size_t names_len = sizeof(named_numbers)/sizeof(named_numbers[0]);
for (size_t i = 0; i + 1 < names_len; ++i) {
if (n < named_numbers[i + 1].number)
return &named_numbers[i];
}
return &named_numbers[names_len - 1];
}
typedef struct word_tag {
size_t offset;
size_t length;
} word_t;
typedef struct word_list_tag {
GArray* words;
GString* str;
} word_list;
void word_list_create(word_list* words) {
words->words = g_array_new(FALSE, FALSE, sizeof(word_t));
words->str = g_string_new(NULL);
}
void word_list_destroy(word_list* words) {
g_string_free(words->str, TRUE);
g_array_free(words->words, TRUE);
}
void word_list_clear(word_list* words) {
g_string_truncate(words->str, 0);
g_array_set_size(words->words, 0);
}
void word_list_append(word_list* words, const char* str) {
size_t offset = words->str->len;
size_t len = strlen(str);
g_string_append_len(words->str, str, len);
word_t word;
word.offset = offset;
word.length = len;
g_array_append_val(words->words, word);
}
word_t* word_list_get(word_list* words, size_t index) {
return &g_array_index(words->words, word_t, index);
}
void word_list_extend(word_list* words, const char* str) {
word_t* word = word_list_get(words, words->words->len - 1);
size_t len = strlen(str);
word->length += len;
g_string_append_len(words->str, str, len);
}
size_t append_number_name(word_list* words, integer n, bool ordinal) {
size_t count = 0;
if (n < 20) {
word_list_append(words, get_small_name(&small[n], ordinal));
count = 1;
} else if (n < 100) {
if (n % 10 == 0) {
word_list_append(words, get_small_name(&tens[n/10 - 2], ordinal));
} else {
word_list_append(words, get_small_name(&tens[n/10 - 2], false));
word_list_extend(words, "-");
word_list_extend(words, get_small_name(&small[n % 10], ordinal));
}
count = 1;
} else {
const named_number* num = get_named_number(n);
integer p = num->number;
count += append_number_name(words, n/p, false);
if (n % p == 0) {
word_list_append(words, get_big_name(num, ordinal));
++count;
} else {
word_list_append(words, get_big_name(num, false));
++count;
count += append_number_name(words, n % p, ordinal);
}
}
return count;
}
size_t count_letters(word_list* words, size_t index) {
const word_t* word = word_list_get(words, index);
size_t letters = 0;
const char* s = words->str->str + word->offset;
for (size_t i = 0, n = word->length; i < n; ++i) {
if (isalpha((unsigned char)s[i]))
++letters;
}
return letters;
}
void sentence(word_list* result, size_t count) {
static const char* words[] = {
"Four", "is", "the", "number", "of", "letters", "in", "the",
"first", "word", "of", "this", "sentence,"
};
word_list_clear(result);
size_t n = sizeof(words)/sizeof(words[0]);
for (size_t i = 0; i < n; ++i)
word_list_append(result, words[i]);
for (size_t i = 1; count > n; ++i) {
n += append_number_name(result, count_letters(result, i), false);
word_list_append(result, "in");
word_list_append(result, "the");
n += 2;
n += append_number_name(result, i + 1, true);
// Append a comma to the final word
word_list_extend(result, ",");
}
}
size_t sentence_length(const word_list* words) {
size_t n = words->words->len;
if (n == 0)
return 0;
return words->str->len + n - 1;
}
int main() {
setlocale(LC_ALL, "");
size_t n = 201;
word_list result = { 0 };
word_list_create(&result);
sentence(&result, n);
printf("Number of letters in first %'lu words in the sequence:\n", n);
for (size_t i = 0; i < n; ++i) {
if (i != 0)
printf("%c", i % 25 == 0 ? '\n' : ' ');
printf("%'2lu", count_letters(&result, i));
}
printf("\nSentence length: %'lu\n", sentence_length(&result));
for (n = 1000; n <= 10000000; n *= 10) {
sentence(&result, n);
const word_t* word = word_list_get(&result, n - 1);
const char* s = result.str->str + word->offset;
printf("The %'luth word is '%.*s' and has %lu letters. ", n,
(int)word->length, s, count_letters(&result, n - 1));
printf("Sentence length: %'lu\n" , sentence_length(&result));
}
word_list_destroy(&result);
return 0;
}
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