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feat(solutions): add prime-numbers-decomposition/c/function
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# prime-numbers-decomposition/c/function
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Created by [@Divlo](https://github.com/Divlo) on 16 October 2021.
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#include <stdbool.h>
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#include <stdio.h>
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#include <stdlib.h>
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void print_array(int* numbers, int numbers_length) {
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for (int index = 0; index < numbers_length; index++) {
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printf("%d", numbers[index]);
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if (numbers_length - 1 != index) {
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printf(" * ");
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}
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}
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printf("\n");
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}
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int* get_dividers_list(int number, int* dividers_length) {
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*dividers_length = 1;
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int* dividers = malloc(sizeof(int) * *dividers_length);
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for (int index = 1; index <= number; index++) {
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if (number % index == 0) {
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dividers[*dividers_length - 1] = index;
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*dividers_length = *dividers_length + 1;
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dividers = realloc(dividers, sizeof(int) * *dividers_length);
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}
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}
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*dividers_length = *dividers_length - 1;
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return dividers;
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}
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bool is_prime_number(int number) {
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int dividers_length;
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get_dividers_list(number, ÷rs_length);
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return dividers_length == 2;
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}
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int sum_multiply_numbers(int* numbers, int numbers_length) {
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int sum = 1;
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for (int index = 0; index < numbers_length; index++) {
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sum = sum * numbers[index];
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}
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return sum;
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}
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int* prime_numbers_decomposition(int number, int* decomposition_length) {
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*decomposition_length = 1;
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int* decomposition = malloc(sizeof(int) * *decomposition_length);
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int total = 0;
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int dividend = number;
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while (total != number) {
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int divider = 2;
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int reste = 0;
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int quotient = 0;
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do {
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reste = dividend % divider;
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quotient = dividend / divider;
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divider++;
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} while (reste != 0);
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divider--;
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decomposition[*decomposition_length - 1] = divider;
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*decomposition_length = *decomposition_length + 1;
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decomposition = realloc(decomposition, sizeof(int) * *decomposition_length);
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if (is_prime_number(quotient)) {
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decomposition[*decomposition_length - 1] = quotient;
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*decomposition_length = *decomposition_length + 1;
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total = sum_multiply_numbers(decomposition, *decomposition_length - 1);
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} else {
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total = sum_multiply_numbers(decomposition, *decomposition_length - 1);
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dividend = quotient;
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}
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}
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*decomposition_length = *decomposition_length - 1;
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return decomposition;
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}
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int main() {
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int number;
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int decomposition_length = 0;
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scanf("%d", &number);
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int* decomposition = prime_numbers_decomposition(number, &decomposition_length);
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print_array(decomposition, decomposition_length);
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free(decomposition);
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return EXIT_SUCCESS;
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}
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